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@@ -0,0 +1,3136 @@
+1
+00:00:00,220 --> 00:00:05,220
+مش سامع، بالقرعين على الجامعة الانتحارية هيكون
+
+2
+00:00:05,220 --> 00:00:10,580
+تكاليف، عن طريق التكاليف؟ والله هيكون في جزء منها
+
+3
+00:00:10,580 --> 00:00:21,540
+تكاليف وفي جزء منها هيكون كزات مبدأياً
+
+4
+00:00:21,540 --> 00:00:24,660
+أه، حتى هذه اللحظة أه، Electronic
+
+5
+00:00:28,700 --> 00:00:32,280
+طيب الله يمسك على أساتذة المدرسة .. يعني احنا
+
+6
+00:00:32,280 --> 00:00:42,620
+اليوم هنبدأ في محاضرة .. بينت عندكم محاضرة؟ لأ لأ
+
+7
+00:00:42,620 --> 00:00:49,700
+.. أنا شوفتها .. قريتها فعلياً .. في العلاج ليه ده
+
+8
+00:00:49,700 --> 00:00:50,840
+وإن شاء الله رب العالمين
+
+9
+00:00:59,530 --> 00:01:08,090
+بيّنت المحاضرة الآن؟ آه تمام بيّنت بيّنت آه كامل
+
+10
+00:01:08,090 --> 00:01:14,890
+هلجيت عن كل أمور؟ آه
+
+11
+00:01:14,890 --> 00:01:19,550
+ممتاز طيب اللهم صلى على سيدنا محمد يعني احنا بنحكي
+
+12
+00:01:19,550 --> 00:01:25,330
+في موضوع ال manual خربي في موضوع ال manual خربي
+
+13
+00:01:25,330 --> 00:01:29,950
+هيكون في عندنا عدة شغلات بنركز عليها بشكل أساسيالـ
+
+14
+00:01:29,950 --> 00:01:36,250
+Manual Therapy مش المقصود بالمساج فقط لغير، هيكون
+
+15
+00:01:36,250 --> 00:01:43,530
+في عندنا بعض الوسائل الأخرى اللي بتستخدم في مجال
+
+16
+00:01:43,530 --> 00:01:47,030
+العلاج اليدوي سواء كانت بعض أنواع التمرين
+
+17
+00:01:47,030 --> 00:01:52,930
+العلاجية، سواء كان في وسائل أخرى كمان ممكن تستخدم
+
+18
+00:01:52,930 --> 00:01:56,630
+في العلاج اليدويلكن خلال دراستنا لهذا المساج، ان
+
+19
+00:01:56,630 --> 00:01:59,670
+شاء الله رب العالمين، هركز على موضوع المساج، هركز
+
+20
+00:01:59,670 --> 00:02:04,550
+على موضوع المساج، الآن في موضوع الـ Manual
+
+21
+00:02:04,550 --> 00:02:13,390
+Therapy، هنتعرف على الـ History of Manual Therapy،
+
+22
+00:02:13,390 --> 00:02:17,070
+كيف بدأ الـ Manual Therapy، شباب، ياريت، بس
+
+23
+00:02:17,070 --> 00:02:19,890
+تعملولي الـ Mute للسماعات عن القفل
+
+24
+00:02:28,340 --> 00:02:33,680
+معمول، معمول عندك يا دكتور معمول ايه؟ سامعك معمول
+
+25
+00:02:33,680 --> 00:02:42,360
+عند ال mute بس سامعك انا انا؟
+
+26
+00:02:42,360 --> 00:02:48,840
+انا حط mute طالع عند الصوت؟ انا سامعك اه انا حط
+
+27
+00:02:48,840 --> 00:02:51,440
+mute و مش عند صوت فعلا يعني انا في الغرفة جاهة
+
+28
+00:02:51,440 --> 00:02:58,900
+صوتك انت طالعالسماعة اللي عندك مش معمولها ميول
+
+29
+00:03:26,680 --> 00:03:31,020
+معنى بلال فيه
+
+30
+00:03:31,020 --> 00:03:32,780
+أفكار أحمد حنون
+
+31
+00:03:59,640 --> 00:04:02,960
+أنا عينشرت الرابط على الـ group يا دكتور، عينشرت
+
+32
+00:04:02,960 --> 00:04:07,720
+الرابط على الـ group هم معاهم علم في ال .. الموديل
+
+33
+00:04:07,720 --> 00:04:10,940
+.. الموديل بتجيش رسالة مباشرة، الواتس لسه أفضل
+
+34
+00:04:10,940 --> 00:04:16,520
+للتواصل بصراحة دكتور محطته
+
+35
+00:04:16,520 --> 00:04:22,840
+على الواتس أنا ولا لأ؟ لأ لأ، عينشرت على ال ..
+
+36
+00:04:22,840 --> 00:04:27,140
+عينشرت على ال .. عينشرت على ال .. عينشرت على ال ..
+
+37
+00:04:27,140 --> 00:04:30,460
+عينشرت على ال ..أنا عامل لكوا كتم هالجاتي و أحمد
+
+38
+00:04:30,460 --> 00:04:34,080
+حنون كمان عامله كتم
+
+39
+00:05:01,550 --> 00:05:04,350
+طيب اللهم صلى على سيدنا محمد نكمل في المحاضرة
+
+40
+00:05:33,550 --> 00:05:36,050
+زي ما كنا بنحكي في البداية في موضوع الـ Manual
+
+41
+00:05:36,050 --> 00:05:36,610
+Therapy
+
+42
+00:06:01,930 --> 00:06:10,390
+شباب كلكم سامعين تمام؟ في عندي أحمد العصار محمد
+
+43
+00:06:10,390 --> 00:06:19,610
+الجدي أحمد كلاب حمز الجمال بلال الجدي و أحمد حنون
+
+44
+00:06:19,610 --> 00:06:27,970
+و عبد الرحمن الغول طيب
+
+45
+00:06:27,970 --> 00:06:28,690
+في موضوعنا
+
+46
+00:06:39,110 --> 00:06:43,250
+في موضوع الـ Manual Therapy زي ما حكينا إنه إحنا
+
+47
+00:06:43,250 --> 00:06:45,910
+خلال دراستنا لهذا المساج إن شاء الله رب العالمين
+
+48
+00:06:45,910 --> 00:06:51,430
+مش هنتكلم عن المساج لوحده فقط وإن كان التركيز
+
+49
+00:06:51,430 --> 00:06:57,390
+الأكبر على المساج هنحكي في البداية مقدمة عن الـ
+
+50
+00:06:57,390 --> 00:07:02,570
+Manual Therapy بعد هيكإن شاء الله رب العالمين
+
+51
+00:07:02,570 --> 00:07:10,350
+هنحكي شوية anatomy و physiology لل skin بشكل خاص و
+
+52
+00:07:10,350 --> 00:07:11,510
+شوية للعضلات
+
+53
+00:07:32,670 --> 00:07:38,990
+عبد الرحمن افتح السماعة من هناك اه دكتور معاك يا
+
+54
+00:07:38,990 --> 00:07:42,730
+دكتور طيب
+
+55
+00:07:42,730 --> 00:07:48,730
+شباب افتحوا ال mic كل الشباب افتحوا ال mic اه
+
+56
+00:07:48,730 --> 00:07:54,030
+فتحناها يا دكتور طيب ممتاز سمعنا كده يا دكتور اه
+
+57
+00:07:54,030 --> 00:07:56,950
+اه سمعنا اه اه اه اه اه اه اه اه اه اه اه اه اه اه
+
+58
+00:07:56,950 --> 00:08:01,850
+اه اه اه اه اه اه اه اه اه اه اه اه اه اه اه اه اه
+
+59
+00:08:01,850 --> 00:08:02,010
+اه اه اه اه اه اه اه اه اه اه اه اه اه اه اه اه اه
+
+60
+00:08:02,010 --> 00:08:02,050
+اه اه اه اه اه اه اه اه اه اه اه اه اه اه اه اه اه
+
+61
+00:08:02,050 --> 00:08:09,470
+اهشوف شغل الكاميرا لأ
+
+62
+00:08:32,150 --> 00:08:40,230
+الصوت مش من عنده المشكلة، الشباب اعملوا mute
+
+63
+00:08:51,800 --> 00:08:56,820
+طيب تمام هي .. احنا بس خلّي واحد بكفّي اللي عنده
+
+64
+00:08:56,820 --> 00:08:59,840
+هدوء خلّيه بس على أساس أنه يبين أنه أنا stop and
+
+65
+00:08:59,840 --> 00:09:13,860
+واضح وواصل للجميع طيب
+
+66
+00:09:13,860 --> 00:09:17,520
+زي ما حكينا إن احنا خلال دراستنا لموضوع الـ manual
+
+67
+00:09:17,520 --> 00:09:22,190
+therapy ان شاء الله رب العالمين هنتكلمعن الـ
+
+68
+00:09:22,190 --> 00:09:26,470
+Introduction لـ Manual Therapy، هنتكلم عن الـ
+
+69
+00:09:26,470 --> 00:09:31,010
+History of Manual Therapy و هنتكلم من خلال رب
+
+70
+00:09:31,010 --> 00:09:38,850
+العالمين عن Anatomy و Physiology لموضوع الـ Skin
+
+71
+00:09:38,850 --> 00:09:44,630
+بشكل عام و طبقات الـ Skinلأنه إحنا في طريقة علاجنا
+
+72
+00:09:44,630 --> 00:09:47,090
+وفي علاجنا بالـ Manual Therapy والمساج على وجه
+
+73
+00:09:47,090 --> 00:09:52,770
+الخصوص بنستهدف ال skin هنتعرف على ال muscles برضه
+
+74
+00:09:52,770 --> 00:09:57,630
+كمان خلال دراستنا لكن مش بالتفصيل اللي بيكون موجود
+
+75
+00:09:57,630 --> 00:10:04,970
+لل skin هنتعرف على أثر المساج على كل أعضاء الجسم
+
+76
+00:10:04,970 --> 00:10:11,150
+بشكل عام خلينا نرجع زي ما حكينا من البداية ونبدأ
+
+77
+00:10:11,150 --> 00:10:17,580
+نتعرف علىالـ Manual Therapy وشو هو تعريف الـ
+
+78
+00:10:17,580 --> 00:10:24,300
+Manual Therapy؟ Manual Therapy بـ in general and
+
+79
+00:10:24,300 --> 00:10:29,620
+massage in depth and will also be of a value to
+
+80
+00:10:29,620 --> 00:10:33,460
+all practitioners and therapists already
+
+81
+00:10:33,460 --> 00:10:38,920
+practicing in this field يعني بالمختصر أن هوهو نوع
+
+82
+00:10:38,920 --> 00:10:43,100
+من أنواع العلاج والوسائل العلاجية اللي بنستخدمها
+
+83
+00:10:43,100 --> 00:10:49,600
+في العلاج الطبيعي وبنركز بشكل كبير على موضوع
+
+84
+00:10:49,600 --> 00:10:50,460
+المساج
+
+85
+00:11:02,940 --> 00:11:05,580
+«الدراسة المقدمة للمعلومات المقدمة للمعلومات
+
+86
+00:11:05,580 --> 00:11:05,620
+المقدمة للمعلومات المقدمة للمعلومات المقدمة
+
+87
+00:11:05,620 --> 00:11:07,760
+للمعلومات المقدمة للمعلومات المقدمة» «الدراسة
+
+88
+00:11:07,760 --> 00:11:09,640
+المقدمة للمعلومات المقدمة للمعلومات المقدمة
+
+89
+00:11:09,640 --> 00:11:09,700
+للمعلومات المقدمة للمعلومات المقدمة للمعلومات
+
+90
+00:11:09,700 --> 00:11:11,340
+للمعلومات المقدمة للمعلومات المقدمة للمعلومات
+
+91
+00:11:11,340 --> 00:11:12,060
+المقدمة للمعلومات المقدمة للمعلومات المقدمة
+
+92
+00:11:12,060 --> 00:11:12,140
+للمعلومات المقدمة للمعلومات المقدمة للمعلومات
+
+93
+00:11:12,140 --> 00:11:15,480
+المقدمة للمعلومات المقدمة للمعلومات المقدمة
+
+94
+00:11:15,480 --> 00:11:21,180
+للمعلومات المقدمة للمعلومات المقدمة للمعلومات
+
+95
+00:11:27,770 --> 00:11:33,430
+مانيوال ثيرابي هو استخدام الساقين على تقنيات لتحقق
+
+96
+00:11:33,430 --> 00:11:39,590
+وتعامل وتحسن حالة نيورومسكولية أو نيورومسكولية أو
+
+97
+00:11:39,590 --> 00:11:40,070
+نيورومسكليكية
+
+98
+00:12:07,940 --> 00:12:13,980
+أنا عن نفسي
+
+99
+00:12:13,980 --> 00:12:14,340
+مظبوط
+
+100
+00:12:29,960 --> 00:12:34,160
+فالحين بفتح ال slide من ال laptop؟ لأ أنا باين
+
+101
+00:12:34,160 --> 00:12:40,140
+الكل و عامل مشاركة للشاشة للجميع، الكل شاف الشاشة
+
+102
+00:12:40,140 --> 00:12:40,540
+الشباب
+
+103
+00:12:54,780 --> 00:12:59,360
+إذا الـ Manual Therapy هو فن استخدام الإيدان، فن
+
+104
+00:12:59,360 --> 00:13:05,980
+استخدام الإيدان، عاش هذا الـ .. باب إن شاء الله رب
+
+105
+00:13:05,980 --> 00:13:10,680
+العالمين، المرة الجاية أنا مش هشتغل على البرنامج
+
+106
+00:13:10,680 --> 00:13:13,220
+هذا، هنشتغل على البرنامج الـ Big Blue Button اللي
+
+107
+00:13:13,220 --> 00:13:17,700
+موجود في الـ Model الـ
+
+108
+00:13:17,700 --> 00:13:21,180
+Big Blue Button بيعطي انضمام للجميع مباشرة، بدون
+
+109
+00:13:21,180 --> 00:13:24,220
+ما أنا أرجع و أعمل انضمام لكل واحد
+
+110
+00:13:39,510 --> 00:13:44,890
+العلاج اليدوي هو فن استخدام الإيدين Art of Using
+
+111
+00:13:44,890 --> 00:13:48,070
+Hands
+
+112
+00:13:48,070 --> 00:13:53,410
+الـ Massage is the systematic and scientific
+
+113
+00:13:53,410 --> 00:13:58,250
+manipulation of soft tissue for remedial or
+
+114
+00:13:58,250 --> 00:13:59,830
+restorative purposes
+
+115
+00:14:06,920 --> 00:14:08,660
+الشباب، في حد عنده أي استفسار؟
+
+116
+00:14:18,310 --> 00:14:23,610
+لو نجي نتطلع على brief history of massage، هلاجي
+
+117
+00:14:23,610 --> 00:14:29,930
+إنه المساج موجود من قديم الزمن وكثير من الحضارات
+
+118
+00:14:29,930 --> 00:14:36,370
+السابقة كان فيه في الأثار اللي تركوها ما يوضح إنهم
+
+119
+00:14:36,370 --> 00:14:41,830
+استخدموا أي نوع أو نوع أو أكتر من المساج في عملية
+
+120
+00:14:41,830 --> 00:14:45,990
+العلاج اللي بيستخدموهاIt has been used medically
+
+121
+00:14:45,990 --> 00:14:50,070
+as therapeutic healing treatment and also for
+
+122
+00:14:50,070 --> 00:14:54,610
+invigorating, soothing and beautifying the body
+
+123
+00:14:54,610 --> 00:15:00,650
+بالإضافة لاستخدامه بشكل طبي وعلاجي، هو كان يستخدم
+
+124
+00:15:00,650 --> 00:15:05,050
+في عمليات الترفيه وعمليات التجميل اللي ممكن بعض
+
+125
+00:15:05,050 --> 00:15:06,210
+الناس بيستخدمها
+
+126
+00:15:23,090 --> 00:15:29,910
+تمام معانا، مين عمر الزغبي؟
+
+127
+00:15:29,910 --> 00:15:37,190
+شات معانا في التخصص في التخصص معانا موجود أه؟ أه
+
+128
+00:15:37,190 --> 00:15:39,670
+طيب اللي هو نصلي على سيدنا محمد؟
+
+129
+00:15:44,580 --> 00:15:50,000
+إذا قلنا في عملية استخدام المساج هو بيستخدم للعلاج
+
+130
+00:15:50,000 --> 00:15:54,820
+ممكن يستخدم في عمليات التجميل أو في التحسين
+
+131
+00:15:54,820 --> 00:16:01,640
+اللياقة تبع ال body ممكن في عملية المظهر والملمس
+
+132
+00:16:01,640 --> 00:16:06,920
+تبع الجلد يستخدم بشكل كبير جدابالإضافة لاستخدامه
+
+133
+00:16:06,920 --> 00:16:10,560
+كعلاج لـ Relief للـ Pain، الـ Discomfort، الـ
+
+134
+00:16:10,560 --> 00:16:15,260
+Soothing and Calming، تهدئة المريض أو الشخص اللي
+
+135
+00:16:15,260 --> 00:16:18,800
+احنا بنينا نعمله علاج أو بنينا نعمله مساج
+
+136
+00:16:23,740 --> 00:16:29,500
+بنقول للشخص اللي أمامنا أنه إنت بدك مساج ترفيهي مش
+
+137
+00:16:29,500 --> 00:16:33,240
+إحنا كphysiotherapist اللي بنزوده وفي العيادات
+
+138
+00:16:33,240 --> 00:16:38,700
+تبعتنا كإخصائي علاج طبيعي، لأ اللي بده مساج ترفيهي
+
+139
+00:16:38,700 --> 00:16:42,980
+ممكن يروح على نوادي خاصة لموضوع مساج الترفيهي،
+
+140
+00:16:42,980 --> 00:16:46,000
+إحنا مساجنا كله بيركز على موضوع therapeutic
+
+141
+00:16:46,000 --> 00:16:47,020
+massage
+
+142
+00:16:58,670 --> 00:17:08,090
+الاستخدام والزيوت والروائح
+
+143
+00:17:08,090 --> 00:17:11,390
+العطرية
+
+144
+00:17:11,390 --> 00:17:14,330
+في عملية استخدام المساج
+
+145
+00:17:17,200 --> 00:17:21,160
+من القرآن وفي جزء منها من العلاج النبو دعنا نقول
+
+146
+00:17:21,160 --> 00:17:28,980
+موجود في تاريخ الانجليزيا word massage has its
+
+147
+00:17:28,980 --> 00:17:35,000
+origin in Arabic word mass or massa which means to
+
+148
+00:17:35,000 --> 00:17:40,300
+press gently بالعربي كلمة massage هو الضغط برفق أو
+
+149
+00:17:40,300 --> 00:17:44,260
+بنوع من اللين في اللغة اليونانية
+
+150
+00:17:56,240 --> 00:18:04,640
+الفرنش الوارد مصر means massage يعني هلاجي انه كل
+
+151
+00:18:04,640 --> 00:18:12,860
+الكلمات اللي بيجي معناها massage هي التهدف او تعني
+
+152
+00:18:13,460 --> 00:18:20,100
+عملية ملامس الجلب أو ملامس الجسم من شخص آخر بنوع
+
+153
+00:18:20,100 --> 00:18:30,800
+من الضغط الخفيف أو الضغط الحاني كثير
+
+154
+00:18:30,800 --> 00:18:37,760
+من العصور السابقة والعصور القديمة كانوا يستخدمون
+
+155
+00:18:38,140 --> 00:18:43,540
+وهذا طبعاً موجد في الكتابات والرسومات اللي انتركت
+
+156
+00:18:43,540 --> 00:18:49,800
+وراهم واللي اكتشفوها كثير من التاريخيين انه كانوا
+
+157
+00:18:49,800 --> 00:18:56,340
+يستخدموا ال massage في عمليات العلاجكمان نقطة مهم
+
+158
+00:18:56,340 --> 00:19:03,240
+جدا في عملية المساج أنه كلنا احنا أي شيء أو أي جزء
+
+159
+00:19:03,240 --> 00:19:08,920
+من جسم الإنسان بيصير فيه نوع من الألم تلقائي، شو
+
+160
+00:19:08,920 --> 00:19:13,300
+اللي بيعمل واحد كرد فعل طبيعي، أنه بيدغط على هذا
+
+161
+00:19:13,300 --> 00:19:16,580
+المكان اللي فيه ألم، لو كان في عنده زي ما احنا
+
+162
+00:19:16,580 --> 00:19:22,470
+شايفين في الصورة هذه شخص عنده ألم في البطلتلقائي
+
+163
+00:19:22,470 --> 00:19:28,030
+بيحط أيديه على بطنه وبيضغط على بطنه هذه الحركات
+
+164
+00:19:28,030 --> 00:19:36,670
+وإن كانت جزء منها فطري إلا إنها نوع من تخفيف الألم
+
+165
+00:19:36,670 --> 00:19:45,590
+ونوع من المساج اللي ممكن نعمله لتخفيف الألم حتى
+
+166
+00:19:45,590 --> 00:19:47,030
+هذه اللحظة تمام يا شباب؟
+
+167
+00:19:58,990 --> 00:20:05,130
+مساج تم ممارسته
+
+168
+00:20:05,130 --> 00:20:12,640
+منذ العصور القديمة، سواء كان باسم مساج أو غيرههو
+
+169
+00:20:12,640 --> 00:20:20,420
+استخدم في مجال التجميل
+
+170
+00:20:20,420 --> 00:20:27,680
+والترفيه كمان كما استخدم في المجال الطبي أو شكل
+
+171
+00:20:27,680 --> 00:20:33,880
+طبي استخدم أيضا في مجال التجميل والترفيه Massage
+
+172
+00:20:33,880 --> 00:20:38,530
+or rubbing is an instinctiveAct for relieving pain
+
+173
+00:20:38,530 --> 00:20:42,930
+and discomfort and for soothing and calming إذن
+
+174
+00:20:42,930 --> 00:20:47,810
+إنت لما بتستخدم المساج أو ال rubbing عملية الفرق
+
+175
+00:20:47,810 --> 00:20:51,810
+هذه الهدف منها تخفيف الألم تخفيف الإنزعاج اللي
+
+176
+00:20:51,810 --> 00:20:58,390
+بيكون موجود بالإضافة إلى تهدئة الشخص اللي بيكون
+
+177
+00:20:58,390 --> 00:21:01,370
+بيعاني من هذه المشاكل
+
+178
+00:21:09,040 --> 00:21:14,560
+التعريف المساج بشكل عام هو التعريف المستخدم
+
+179
+00:21:14,560 --> 00:21:19,920
+للتعريف بعض التحركات العلمية التي تتم تفعيلها من
+
+180
+00:21:19,920 --> 00:21:28,250
+أعضاء الـ Praterعلى جسد المريض، يعني أنه يتم
+
+181
+00:21:28,250 --> 00:21:36,950
+استخدامه لإصلاح الطاقة حيث يتعذب عن ما يحدث أو ما
+
+182
+00:21:36,950 --> 00:21:41,870
+يحدث وهو
+
+183
+00:21:41,870 --> 00:21:43,990
+طريقة طبيعية لإعادة المشكلة
+
+184
+00:21:48,860 --> 00:21:56,160
+إذاً هي أي حركات علمية و أي خلّيني أقولوهي طريقة
+
+185
+00:21:56,160 --> 00:22:00,540
+علمية بنستخدمها في عملية الـ Manipulation للجسم
+
+186
+00:22:00,540 --> 00:22:09,560
+وتستخدم من خلال Therapist هذا هو الجزء الأول اللي
+
+187
+00:22:09,560 --> 00:22:15,000
+احنا بنحكي فيه في موضوع المساج وخلينا نركز شوية
+
+188
+00:22:15,000 --> 00:22:21,210
+على الشبتر اللي بيجي بعدينجابل ما ننتقل للـ
+
+189
+00:22:21,210 --> 00:22:23,730
+Chapter التاني، في حد عنده أي استفسار، عنده أي
+
+190
+00:22:23,730 --> 00:22:29,550
+مداخلة، طبعا الشباب تجسير الأمر سهل عندكوا،
+
+191
+00:22:29,550 --> 00:22:35,050
+ماحكيناش أشي جديد، لكن بالنسبة لشبابنا الإجداد،
+
+192
+00:22:35,050 --> 00:22:39,130
+إيش في عندكوا أي استفسارات، أي شغلات حابين تسألوا
+
+193
+00:22:39,130 --> 00:22:41,410
+عنها في هذا الموقع؟
+
+194
+00:22:50,010 --> 00:22:57,890
+مش سامح حد يا شباب ..
+
+195
+00:22:57,890 --> 00:23:06,950
+شباب
+
+196
+00:23:06,950 --> 00:23:12,510
+مع أنا .. دكتور .. دكتور .. دكتور .. دكتور ..
+
+197
+00:23:12,510 --> 00:23:16,670
+دكتور .. دكتور .. دكتور .. دكتور ..هو أول جزئية
+
+198
+00:23:16,670 --> 00:23:19,670
+بسيطة جدًا، احنا كنا بنحكي على تاريخ المساج وكيف
+
+199
+00:23:19,670 --> 00:23:24,550
+بدأ المساج وكيف كان عند الورسول القديم يعني، مافي
+
+200
+00:23:24,550 --> 00:23:29,570
+معلومات يعني خلّيني أقول كبيرة في هذا الجزء الأول،
+
+201
+00:23:29,570 --> 00:23:33,990
+وانت لما تقرأ يعني المحاضرة وإذا أي حد عنده أي
+
+202
+00:23:33,990 --> 00:23:36,790
+استفسار أنا جاهز بعد هيك في لقائنا اللي جاي إن شاء
+
+203
+00:23:36,790 --> 00:23:41,110
+الله رب العالمين أخر
+
+204
+00:23:41,110 --> 00:23:41,990
+جزئية بالنسبة لك
+
+205
+00:23:45,280 --> 00:23:48,880
+طيب، الـ Definition of Massage مظبوط؟ تمام، دا
+
+206
+00:23:48,880 --> 00:23:57,320
+مظبوط الـ Massage بشكل عام هو مصطلح بيعبّر عن
+
+207
+00:23:57,320 --> 00:24:04,220
+Scientific Manipulation عملية التعامل مع الجلد أو
+
+208
+00:24:04,220 --> 00:24:10,160
+مع الجسم بطريقة علمية باستخدام الإيدين أو باستخدام
+
+209
+00:24:10,160 --> 00:24:17,640
+إيدين وهدفها إنه تخفيف ألمنتيجة الطاقة اللي
+
+210
+00:24:17,640 --> 00:24:21,220
+اتولدت، يعني إذا كان إحنا بنعمل rubbing، إيش ال
+
+211
+00:24:21,220 --> 00:24:26,180
+rubbing المقصود بيه؟ الدلك أو الفارق أو أي إن كان
+
+212
+00:24:26,180 --> 00:24:31,500
+المصطلح اللي إحنا بدنا نستخدمه، where such has
+
+213
+00:24:31,500 --> 00:24:35,020
+become exhausted، مين الناس اللي بيلجؤولنا؟ هم
+
+214
+00:24:35,020 --> 00:24:38,500
+المرضى اللي عندهم ألم، الناس اللي في عندهم تعب في
+
+215
+00:24:38,500 --> 00:24:45,110
+العضلات؟بنقدّم لهم هذا الخدمة من الـ Manipulation
+
+216
+00:24:45,110 --> 00:24:49,390
+Manipulation معناها التعامل مع الجسم Manipulation
+
+217
+00:24:49,390 --> 00:24:56,910
+التعامل باستخدام الإيدين أو يدي الـ Therapist أو
+
+218
+00:24:56,910 --> 00:25:06,790
+أخصاء العلاج الطبيعي تمام هيك؟
+
+219
+00:25:16,160 --> 00:25:23,640
+الأن جزء التاني هو هيكون طبعا الأهم في خلال
+
+220
+00:25:23,640 --> 00:25:28,240
+محاضرتنا ان شاء الله رب العالمينوخلال المحاضرة
+
+221
+00:25:28,240 --> 00:25:31,580
+هذه، إن شاء الله رب العالمين، زي ما حكينا، بدنا
+
+222
+00:25:31,580 --> 00:25:39,140
+نركز على هذه المعلومات، لأنه أي أخصة علاج طبيعي
+
+223
+00:25:39,140 --> 00:25:43,820
+بده يشتغل في موضوع المساج، بده يكون عنده معارفة
+
+224
+00:25:43,820 --> 00:25:48,680
+مسبقة، معارفة مسبقة بالجسم، الـbody systems، وهذا
+
+225
+00:25:48,680 --> 00:25:52,820
+طبعا اللي أنتوا ابتدرتوا ودرستوا في الـanatomy مرة
+
+226
+00:25:52,820 --> 00:25:57,070
+واثنين وهيكون معاكم advanced anatomyوأخدت الـ
+
+227
+00:25:57,070 --> 00:26:04,830
+Basic Anatomy خلال هذا الشبتر طبعاً هنراجع بشكل
+
+228
+00:26:04,830 --> 00:26:11,330
+بسيط الـ Body Systems هنركز على الـ Skin أو الـ
+
+229
+00:26:11,330 --> 00:26:16,350
+Integumentary System وحيكون فيه عندنا طبعاً نتطلع
+
+230
+00:26:16,350 --> 00:26:19,550
+على الـ Physiological و Psychological Effect أو
+
+231
+00:26:19,550 --> 00:26:20,310
+Massage
+
+232
+00:26:24,980 --> 00:26:28,560
+الـ Organizational Levels، طبعاً لما بنيجي بنبطلع
+
+233
+00:26:28,560 --> 00:26:31,960
+على الـ Organizational Level، احنا بنعرف أنه
+
+234
+00:26:31,960 --> 00:26:37,260
+المساج وين ممكن نستخدمه، احنا ممكن نستخدمه مباشرة
+
+235
+00:26:37,260 --> 00:26:41,880
+الجزء اللي احنا بيكون فيه إلنا contact معاه أو
+
+236
+00:26:41,880 --> 00:26:48,950
+تلامس معاه هو الجلب بشكل عام، عشان هيكالمعنيين انه
+
+237
+00:26:48,950 --> 00:26:55,690
+نعرف شو تأثير المساج على ال other body tissues
+
+238
+00:26:55,690 --> 00:27:04,270
+الو؟
+
+239
+00:27:04,270 --> 00:27:11,830
+آه شباب الصوت
+
+240
+00:27:11,830 --> 00:27:14,730
+مش واضح يا دكتور الصوت مش واضح؟
+
+241
+00:27:20,740 --> 00:27:25,380
+الصوت واضح هيك؟ هيك تمام يا دكتور الصوت واضح
+
+242
+00:27:25,380 --> 00:27:31,200
+المشكلة مش من عندك يعني ات من عند حد منك يا شباب
+
+243
+00:27:38,250 --> 00:27:43,290
+الـ Massage بدنا نفهم الـ Structure of the Body
+
+244
+00:27:43,290 --> 00:27:47,310
+وبدنا نفهم الـ Function of the Body طبعا لما بنحكي
+
+245
+00:27:47,310 --> 00:27:50,790
+على Structure و Function of the Body بدنا نحكي على
+
+246
+00:27:50,790 --> 00:27:56,030
+كل System من الـ Systems اللي احنا عارفينها الـ
+
+247
+00:27:56,030 --> 00:27:59,690
+Integumentary System و Musculoskeletal System بشكل
+
+248
+00:27:59,690 --> 00:28:00,410
+أساسي
+
+249
+00:28:03,180 --> 00:28:07,340
+الـ anatomy زي ما احنا عارفين it's the study of
+
+250
+00:28:07,340 --> 00:28:11,900
+the structure of the body الفيسيولوجي study of the
+
+251
+00:28:11,900 --> 00:28:17,680
+function of the body كمان
+
+252
+00:28:17,680 --> 00:28:20,820
+ممكن انه احنا في عملية ال organizational level
+
+253
+00:28:20,820 --> 00:28:26,120
+ممكن يكون في عندنا chemical cell tissue organ and
+
+254
+00:28:26,120 --> 00:28:33,590
+system ال chemical levelعلى المستوى الأساسي للغاية
+
+255
+00:28:33,590 --> 00:28:37,290
+وهذا طبعاً لما بنحكي على الـ chemical شو بيصير على
+
+256
+00:28:37,290 --> 00:28:44,470
+مستوى الـ chemical substance with the cell شو
+
+257
+00:28:44,470 --> 00:28:49,510
+بيصير في الخلايا وشو يعني اللي بينتج من استخدام
+
+258
+00:28:49,510 --> 00:28:56,150
+chemical substance باستخدام المساج في عملية أو على
+
+259
+00:28:56,150 --> 00:29:02,200
+الcell in which these chemicalsCombine or break
+
+260
+00:29:02,200 --> 00:29:06,820
+down underlie all the process essential for life
+
+261
+00:29:06,820 --> 00:29:12,280
+هنتعرف على تأثير هذه ال chemicals وشو بتعمل في
+
+262
+00:29:12,280 --> 00:29:16,900
+الخلاياالمرحلة التانية أو الـ Level التاني اللي
+
+263
+00:29:16,900 --> 00:29:20,740
+احنا بنحكي فيه اللي بيصير فيه نفس الخلايا These
+
+264
+00:29:20,740 --> 00:29:24,740
+are the basic structural and functional units of
+
+265
+00:29:24,740 --> 00:29:28,620
+the body وعارفين إن الخلايا هي عبارة عن الـ Basic
+
+266
+00:29:28,620 --> 00:29:34,600
+Structure النواة الأساسية في تركيم الجسم هلاجي إنه
+
+267
+00:29:34,600 --> 00:29:35,740
+على سبيل المثال
+
+268
+00:29:40,680 --> 00:29:44,460
+الجهاز، الجلب أو قلنا نقول الـ Intergumentary
+
+269
+00:29:44,460 --> 00:29:49,100
+System هنلاقيه بتكون من خلايا، الخلايا بتكون
+
+270
+00:29:49,100 --> 00:29:56,260
+الأعضاء، الأعضاء بتعمل عند الـ Body Systems All
+
+271
+00:29:56,260 --> 00:29:59,460
+these activities that maintain life are carried
+
+272
+00:29:59,460 --> 00:30:05,000
+out by the cellالجسد مصمم من بليون جسد مصمم من
+
+273
+00:30:05,000 --> 00:30:08,040
+بليون جسد مصمم مصمم مصمم مصمم مصمم مصمم مصمم مصمم
+
+274
+00:30:08,040 --> 00:30:11,180
+مصمم مصمم مصمم مصمم مصمم مصمم مصمم مصمم مصمم مصمم
+
+275
+00:30:11,180 --> 00:30:11,500
+مصمم مصمم مصمم مصمم مصمم مصمم مصمم مصمم مصمم مصمم
+
+276
+00:30:11,500 --> 00:30:15,100
+مصمم مصمم مصمم مصمم مصمم مصمم مصمم مصمم مصمم مصمم
+
+277
+00:30:15,100 --> 00:30:20,600
+مصمم مصمم مصمم مصمم مصمم مصمم مصمم مصمم مصمم مصمم
+
+278
+00:30:20,600 --> 00:30:30,440
+مصمم مص
+
+279
+00:30:31,070 --> 00:30:34,410
+الخلية العضمية غير عن الخلية العضلية غير عن الخلية
+
+280
+00:30:34,410 --> 00:30:40,070
+الجلب غير عن الخلية الخاصة بالدم كل نوع من الخلايا
+
+281
+00:30:40,070 --> 00:30:47,270
+له مواصفاته الخاصة بيها ال tissues هي group of
+
+282
+00:30:47,270 --> 00:30:54,810
+similar cells form the tissues of the bodyالخلايا
+
+283
+00:30:54,810 --> 00:31:00,810
+المتشابهة بتكون أنسجة معينة من الجسم كل الخلايا
+
+284
+00:31:00,810 --> 00:31:09,430
+تقريبا
+
+285
+00:31:09,430 --> 00:31:17,920
+بتكون متشابهة في التركيبلكن فيها differences
+
+286
+00:31:17,920 --> 00:31:21,900
+حسب الـ tissue اللي بتكونها على سبيل المثال الـ
+
+287
+00:31:21,900 --> 00:31:25,300
+epithelial tissue cover the body and cyclical
+
+288
+00:31:25,300 --> 00:31:29,520
+muscle tissue produce movement الاتنين كله عبارة
+
+289
+00:31:29,520 --> 00:31:34,580
+عن أنسجة لكن هذه أنسجة عضلية وهذه أنسجة غشائية
+
+290
+00:31:34,580 --> 00:31:38,460
+الوظيفة
+
+291
+00:31:38,460 --> 00:31:45,800
+مختلفة لكنالتركيب هو عبارة عن خلايا بتكون هذه
+
+292
+00:31:45,800 --> 00:31:50,380
+الأنصار الـ organs هي عبارة عن different tissue
+
+293
+00:31:50,380 --> 00:31:55,600
+حلاجة إنه في خلايا على سبيل المثال الـ upper limb
+
+294
+00:31:55,600 --> 00:32:03,320
+مجموعة من الخلايا مع بعض بكونه ال body different
+
+295
+00:32:03,320 --> 00:32:07,500
+tissue groups together to form the organs of the
+
+296
+00:32:07,500 --> 00:32:12,410
+bodyEach organ will perform a specific function،
+
+297
+00:32:12,410 --> 00:32:18,810
+كل عضو بيؤدي وظيفة خاصة بيه ومختلفة The heart على
+
+298
+00:32:18,810 --> 00:32:22,670
+سبيل المثال بيعمل pumping للـ blood around the
+
+299
+00:32:22,670 --> 00:32:28,510
+body، لكن الكدن بتعمل عملية filtration of fluids
+
+300
+00:32:39,210 --> 00:32:44,950
+Systems مجموعة من الـDifferent organs اللي بيكونوا
+
+301
+00:32:44,950 --> 00:32:49,910
+عندى الـBody Systems على سبيل المثال الـDigestive
+
+302
+00:32:49,910 --> 00:32:53,290
+System اللي هو مسئول عن هضم الطعام
+
+303
+00:32:56,150 --> 00:33:01,850
+المعنى دا بتكون من liver وفيه شغلات كتير موجودة
+
+304
+00:33:01,850 --> 00:33:07,010
+وكل شيء منها مختلف لكن في النهاية كلها متجمع مع
+
+305
+00:33:07,010 --> 00:33:10,570
+بعض وعملت عندي ال digestive system
+
+306
+00:33:15,800 --> 00:33:20,740
+اللي احنا هنركز عليه بشيء من التخصيل اللي هو
+
+307
+00:33:20,740 --> 00:33:27,080
+بيحتوي على skin، hair، nails، الأضافر اللي موجودة،
+
+308
+00:33:27,080 --> 00:33:34,600
+الـ sweet glands، الغدد العراقية، sebaceous gland،
+
+309
+00:33:34,600 --> 00:33:39,820
+الغدد الدهنية، various sensory receptors، مستقبلات
+
+310
+00:33:39,820 --> 00:33:44,760
+الحسية اللي موجودة في ال skin حتى هذه اللحظة تمام
+
+311
+00:33:44,760 --> 00:33:45,160
+يا شباب
+
+312
+00:33:53,330 --> 00:33:59,170
+الموضوع الـ Skin The skin forms tough, waterproof,
+
+313
+00:33:59,670 --> 00:34:03,430
+protective covering over the surface of the body
+
+314
+00:34:09,840 --> 00:34:16,640
+غطاء بيغطي كل أجزاء أو أجهزة الجسم اللي موجودة في
+
+315
+00:34:16,640 --> 00:34:22,860
+الداخل ومن مميزات هذا الغطاء اللي هو الجلب أنه
+
+316
+00:34:22,860 --> 00:34:27,260
+water proof شو ما أقصده water proof أنه ما بيسمح
+
+317
+00:34:27,260 --> 00:34:31,880
+بدخول الماء إلى داخل الجسم وفي نفس الوقت بيكون
+
+318
+00:34:31,880 --> 00:34:36,740
+tough في نوع من الصلابة والقساوة اللي موجودة في
+
+319
+00:34:36,740 --> 00:34:39,260
+هذا ال structure
+
+320
+00:34:50,850 --> 00:35:00,390
+مساحة الجلد للشخص البالغ تقريبا 2 متر مربع
+
+321
+00:35:08,170 --> 00:35:14,330
+والسماكة تبع السكن تختلف من منطقة لمنطقة ممكن تصل
+
+322
+00:35:14,330 --> 00:35:21,970
+في مناطق معينة 0.05 وفي مناطق أخرى توصل لـ3.0mm
+
+323
+00:35:24,830 --> 00:35:30,210
+being thickest on the soles of the feet and palms
+
+324
+00:35:30,210 --> 00:35:37,870
+of the hand أكتر مناطق اللي فيها السمك تبع الجلب
+
+325
+00:35:37,870 --> 00:35:43,670
+موجودة في الـ sole of the foot أخمص القدم وفي ال
+
+326
+00:35:43,670 --> 00:35:49,990
+palm of the hand راحة اليد أو باطن اليدوأكتر مناطق
+
+327
+00:35:49,990 --> 00:35:56,730
+فيها thinnest on the lips, eyelids, inner surface
+
+328
+00:35:56,730 --> 00:36:06,130
+of the limbs حتلاقي في الشفاه الـ eyelids، الجفون،
+
+329
+00:36:06,130 --> 00:36:10,810
+العيون، ال inner surface of the limbs وفي ال
+
+330
+00:36:10,810 --> 00:36:22,670
+abdomenالسكين يحتوي على
+
+331
+00:36:22,670 --> 00:36:28,790
+بصيلات شعر أو الشعر بيحتوي على الأظافر بالإضافة
+
+332
+00:36:28,790 --> 00:36:33,230
+إلى الـ glands و various sensory receptors
+
+333
+00:36:33,230 --> 00:36:39,590
+مستقبلات حسية مختلفة موجودة في جسم الإنسان الـ
+
+334
+00:36:39,590 --> 00:36:46,960
+skin colorطبعًا بيختلف بشكل كبير جدًا حسب الحالة
+
+335
+00:36:46,960 --> 00:36:52,340
+الصحية واحنا بنطلع على الـ Skin Color عشان نقيم
+
+336
+00:36:52,340 --> 00:36:58,500
+حالة الجسم و الحال الصحي للجلد إذا كان الجلد well
+
+337
+00:36:58,500 --> 00:37:03,100
+-nourished وفيه blood supply كويس فيه تغذية دموية
+
+338
+00:37:03,100 --> 00:37:10,100
+منيحة، هلاجي أن الـ Skin Colorأعطاني لون غير عن
+
+339
+00:37:10,100 --> 00:37:17,780
+شخص عنده skin color أو مشاكل في التغذية أو مشاكل
+
+340
+00:37:17,780 --> 00:37:25,120
+في الدموية للمنطقة اللي بتحكم في لون ال skin عدة
+
+341
+00:37:25,120 --> 00:37:28,380
+شغلات أول حاجة person
+
+342
+00:37:32,520 --> 00:37:38,200
+أو الـ race هلاقي الأفارقة الجلد تبعهم أسود لأنه
+
+343
+00:37:38,200 --> 00:37:42,260
+سبغة الميلانين اللي موجودة بتكون مفرزة بشكل كبير
+
+344
+00:37:42,260 --> 00:37:49,600
+جدا الناس اللي في العرق الأمريكي غير الأسيا وغيره
+
+345
+00:37:49,600 --> 00:37:55,100
+كل واحد فيه إله خلينا نقول مواصفات خاصة بالجلد و
+
+346
+00:37:55,100 --> 00:37:58,700
+باللون تبعه حسب البيئة اللي عايش فيها
+
+347
+00:38:11,240 --> 00:38:16,420
+عدد الخلايا الصبغية اللي موجودة في الجلب عند
+
+348
+00:38:16,420 --> 00:38:19,840
+الأسود وعند الأبيض نفس عدد الخلايا
+
+349
+00:38:24,630 --> 00:38:28,710
+كميات كبيرة من الصبغة وتكون عند الأفارقة تعطيهم
+
+350
+00:38:28,710 --> 00:38:32,210
+اللون الأسود وعند الأوروبيين تعطيهم اللون الأبيض
+
+351
+00:38:32,210 --> 00:38:39,610
+أو الأصفر طبعا في عدة عوامل منها أول حاجة طبعاالـ
+
+352
+00:38:39,610 --> 00:38:45,510
+amount and type of melanin produced كمية ونوع
+
+353
+00:38:45,510 --> 00:38:50,990
+الصبغة اللي أفرزت عدد الخلايا الصبغية نفس الشيء
+
+354
+00:38:50,990 --> 00:38:55,790
+لكن كمية الإفراز ونوع المادة المفرزة الـ melanin
+
+355
+00:38:55,790 --> 00:39:02,980
+بتختلف من عرق لآخرHealthy Skin عشان أقول أنا في
+
+356
+00:39:02,980 --> 00:39:08,260
+عندى الـ Skin حالته الصحية جيدة و هاد طبعا احنا ك
+
+357
+00:39:08,260 --> 00:39:14,940
+Physotherapist بنعمل كتير من الفحوصات لمرضانة عن
+
+358
+00:39:14,940 --> 00:39:21,360
+طريق فحص صحة الـ Skin أول حاجة بدى يكون Smooth
+
+359
+00:39:21,360 --> 00:39:29,480
+Smooth المقصود بيها ناعم Soft لين بدى يكون
+
+360
+00:39:29,480 --> 00:39:37,220
+Flexibleيعني كلمة flexible marine في هذا المعنى
+
+361
+00:39:37,220 --> 00:39:43,300
+and has a good color ولونه بيكون لون جيد اللي احنا
+
+362
+00:39:43,300 --> 00:39:51,280
+بنسميه pink color a gray Asian or yellow tongue
+
+363
+00:39:51,280 --> 00:39:55,420
+may indicate health problems الناس اللي في عندهم
+
+364
+00:39:55,420 --> 00:39:57,980
+لون الجلب مش
+
+365
+00:40:02,800 --> 00:40:08,340
+إذا كان أسفر أو أزرق أو غيره، يعني أنهم عندهم
+
+366
+00:40:08,340 --> 00:40:11,020
+مشكلة معينة
+
+367
+00:40:25,700 --> 00:40:30,940
+الأن لو جينا نتطلع على الـ Skin Structures الـ
+
+368
+00:40:30,940 --> 00:40:37,240
+Skin Structure حلاجة أنه بتكون من Two Main Layers
+
+369
+00:40:37,240 --> 00:40:44,740
+طبعاً في عندي الـ Epidermis وفي عندي الـ Dermis
+
+370
+00:40:44,740 --> 00:40:49,260
+شباب
+
+371
+00:40:49,260 --> 00:40:53,260
+معانا؟
+
+372
+00:40:53,260 --> 00:40:54,260
+ها كتبتوا معاك
+
+373
+00:41:02,380 --> 00:41:08,800
+لو جينا نتطلع على ال layers تبعات ال dermis و ال
+
+374
+00:41:08,800 --> 00:41:17,640
+epidermis هلاجي ان ال epidermis هلاجيها الطبقة
+
+375
+00:41:17,640 --> 00:41:20,980
+الخارجية اللي للأعلى
+
+376
+00:41:23,730 --> 00:41:32,310
+الطبقة الخارجية تتكون من خمس طبقات أول طبقة
+
+377
+00:41:32,310 --> 00:41:36,570
+بيسموها Stratum Corneum اللي هي الـ superficial
+
+378
+00:41:36,570 --> 00:41:41,570
+layer وأكتر طبقة خارجية يعني إحنا بيدين من الجلد
+
+379
+00:41:41,570 --> 00:41:48,770
+من فوق ونزلين لتحت Stratum LucidumStratum
+
+380
+00:41:48,770 --> 00:41:55,890
+Granulosum، Stratum Spinosum، Stratum Bezali اللي
+
+381
+00:41:55,890 --> 00:42:01,610
+هي الطبقة القاعدية هلاجي أنه الـ Stratum Corneum و
+
+382
+00:42:01,610 --> 00:42:06,650
+Stratum Lucidum هلاجيها إنه عبارة عن Dead Cells،
+
+383
+00:42:06,650 --> 00:42:10,990
+Dead Tissue عشان هيك احنا بنقول لما الواحد بيفعل
+
+384
+00:42:11,960 --> 00:42:15,680
+فرق لإيده أو بيعمل نوع من الـ rubbing للـ hand أو
+
+385
+00:42:15,680 --> 00:42:20,540
+للـ skin مئات و ألاف من الخلايا الميتة بتتم
+
+386
+00:42:20,540 --> 00:42:25,940
+تساقطها عشان هيك بنلاقي انه جزء من وظيفة المساج
+
+387
+00:42:25,940 --> 00:42:33,920
+انه بيعمل عملية تجديد للـ skin cells لو
+
+388
+00:42:33,920 --> 00:42:38,080
+جينا نتطلع هذه الطبقات زي ما احنا شايفين في الصورة
+
+389
+00:42:38,080 --> 00:42:43,530
+هذهطبعًا، في عندنا الـ Stratum Corneum، Stratum
+
+390
+00:42:43,530 --> 00:42:50,770
+Lusidium، Stratum Granulosum، Stratum Spinosum،
+
+391
+00:42:50,770 --> 00:42:55,570
+وStratum Pizale، اللي هي منطقة القاعدية، منطقة
+
+392
+00:42:55,570 --> 00:43:01,270
+القاعدة وزي ما أحنا شايفين، هذه أغلب الخلايا اللي
+
+393
+00:43:01,270 --> 00:43:05,390
+موجودة فيها الطبقات الخارجية Dead Cells
+
+394
+00:43:18,680 --> 00:43:26,440
+الأن الترتيب بدأ من تحت Stratum Bezali وStratum
+
+395
+00:43:26,440 --> 00:43:31,400
+Spinosum وفي Stratum Bezali قلنا إنها منطقة اللي
+
+396
+00:43:31,400 --> 00:43:36,300
+بتكون فيها الخلايا الحية وعملية الإنقسام في
+
+397
+00:43:36,300 --> 00:43:40,360
+الخلايا بتكون مستمرة بشكل كبير جداً Cells divide
+
+398
+00:43:40,360 --> 00:43:48,680
+by mitosis في منطقات Stratum Bezaliالـ keratin
+
+399
+00:43:48,680 --> 00:43:54,300
+fibers تبدأ
+
+400
+00:43:54,300 --> 00:44:01,120
+طبقة الكيراتين اللي موجودة قدامنا تتكون في بقية
+
+401
+00:44:01,120 --> 00:44:09,150
+الخلاياالطبقة التالتة Stratum Granulosa وفي هذه
+
+402
+00:44:09,150 --> 00:44:13,870
+طبعاً بيبدأ عملية الـ keratohyaline والـ hard
+
+403
+00:44:13,870 --> 00:44:20,770
+protein envelope تتكوّن
+
+404
+00:44:20,770 --> 00:44:27,670
+في هذه الطبقة Stratum Placedium اللي هي المنطقة أو
+
+405
+00:44:27,670 --> 00:44:32,110
+المرحلة الرابعة أو الطبقة الرابعةوطبعاً في هذه
+
+406
+00:44:32,110 --> 00:44:37,950
+الطبقة هلاجي ان هي عبارة عن dead cells contains
+
+407
+00:44:37,950 --> 00:44:42,730
+dispersed keratohyaline هلاجي ان ال dead cells
+
+408
+00:44:42,730 --> 00:44:48,110
+تبدأ من هذه الطبقة وstratum colonium
+
+409
+00:45:02,150 --> 00:45:07,850
+الخلايا اللي موجودة
+
+410
+00:45:07,850 --> 00:45:13,530
+بين الخلايا اللي موجودة بين الخلايا اللي موجودة
+
+411
+00:45:13,530 --> 00:45:15,590
+بين الخلايا اللي موجودة بين الخلايا اللي موجودة
+
+412
+00:45:15,590 --> 00:45:16,110
+بين الخلايا اللي موجودة بين الخلايا اللي موجودة
+
+413
+00:45:16,110 --> 00:45:19,580
+بين الخلايا الليوالـ Keratin اللي بيكون موجودة
+
+414
+00:45:19,580 --> 00:45:27,480
+طبعاً هذه هي الخمس طبقات الخاصة بالـ Epidermis أو
+
+415
+00:45:27,480 --> 00:45:33,340
+الطبقة الخارجية من الجلد في
+
+416
+00:45:33,340 --> 00:45:36,480
+حين أن الطبقة التانية، الطبقة الداخلية من الجلد
+
+417
+00:45:38,240 --> 00:45:42,420
+اللي احنا بنسميها الـ «ديرمس» الـ «ديرمس» لديه
+
+418
+00:45:42,420 --> 00:45:47,760
+إثارات مختلفة فيها بابيلاري layer of the dermis زي
+
+419
+00:45:47,760 --> 00:45:57,320
+ما احنا شايفين و فيه reticular layer of the dermis
+
+420
+00:45:57,320 --> 00:46:06,340
+الـ
+
+421
+00:46:06,340 --> 00:46:14,420
+Epidermisزي ما حكينا، five layers
+
+422
+00:46:14,420 --> 00:46:18,440
+of stratified squamous cells
+
+423
+00:46:26,700 --> 00:46:31,340
+ودنكون عارفين إنه في الخمس طبقات اللي موجودة زي ما
+
+424
+00:46:31,340 --> 00:46:36,360
+حكينا أعمق طبقة لـ Stratum Bezali و اسمه الـ
+
+425
+00:46:36,360 --> 00:46:51,600
+Superficial Layer اللي هي Stratum Corium لـ
+
+426
+00:46:51,600 --> 00:46:57,510
+Stratum Bezali دكتور فضلأيه طبعا أخر معلومة
+
+427
+00:46:57,510 --> 00:47:03,430
+حكيتها؟ أي معلومة؟ اللي في ال slide اللي جاب الـ
+
+428
+00:47:03,430 --> 00:47:15,150
+«هان»؟ أنا همر عليها الآن، همر عليها الآن،
+
+429
+00:47:15,150 --> 00:47:18,210
+همر عليها الآن، همر عليها الآن، همر عليها الآن،
+
+430
+00:47:18,210 --> 00:47:18,370
+همر عليها الآن، همر عليها الآن، همر عليها الآن،
+
+431
+00:47:18,370 --> 00:47:18,430
+همر عليها الآن، همر عليها الآن، همر عليها الآن،
+
+432
+00:47:18,430 --> 00:47:19,470
+همر عليها الآن، همر عليها الآن، همر عليها الآن،
+
+433
+00:47:19,470 --> 00:47:24,790
+همر عليها الآن، همر عليها الآن، همر عليها الآن
+
+434
+00:47:29,630 --> 00:47:43,710
+الـ Most Superficial Layer Stratum Corneum يعني
+
+435
+00:47:43,710 --> 00:47:51,290
+نيجي لكل طبقة من الطبقات شو أهم ميزة فيها مراجعة
+
+436
+00:47:51,290 --> 00:47:52,090
+سريعة
+
+437
+00:47:55,720 --> 00:47:59,200
+السلسلات البيزالية 1 من 10 من هذه السلسلات هم
+
+438
+00:47:59,200 --> 00:48:07,520
+سلسلات مسمى Milanocytes في الستراتم بيزالي
+
+439
+00:48:07,520 --> 00:48:14,040
+في عنا موجود الـ Milanocytes هم ينتجون ملانين
+
+440
+00:48:14,040 --> 00:48:20,720
+بيجمد اللي بتعطي الجلد اللون الخاص بيه من وين
+
+441
+00:48:20,720 --> 00:48:26,390
+بتكون؟الميلانين بيجمل من الـAmino Acid Tyrosine
+
+442
+00:48:26,390 --> 00:48:35,810
+ميلانين بيجمل من الـAmino Acid Tyrosine مضيفة
+
+443
+00:48:35,810 --> 00:48:41,750
+الميلانين الحماية للجسم والخلايا من الـUltraviolet
+
+444
+00:48:41,750 --> 00:48:46,840
+Radiation‏It gives the skin its brown color ‏هي
+
+445
+00:48:46,840 --> 00:48:51,580
+اللي بتعطي الجلد اللون الخاص بيه ‏This layer
+
+446
+00:48:51,580 --> 00:48:57,780
+contains the nerve endings sensitive to touch ‏هي
+
+447
+00:48:57,780 --> 00:49:03,060
+اللي بتعطي الجلد اللون ‏كمان بتعطي أو في موجود
+
+448
+00:49:03,060 --> 00:49:08,600
+فيها ال nerve endings ‏اللي هي ال receptors of the
+
+449
+00:49:08,600 --> 00:49:09,740
+brain أو الـ
+
+450
+00:49:12,970 --> 00:49:21,790
+اللي بيسموها miracles disks Stratospinosome
+
+451
+00:49:21,790 --> 00:49:26,950
+it is composed of eight to ten layers of living
+
+452
+00:49:26,950 --> 00:49:33,050
+cellsالـ granules of melanin باص into this layer
+
+453
+00:49:33,050 --> 00:49:38,350
+الميلانين بيمر من خلال هذه الطبقات فهي عبارة عن
+
+454
+00:49:38,350 --> 00:49:44,510
+طبقات من الخلايا الحية اللي بيصنعها الاستراتام
+
+455
+00:49:44,510 --> 00:49:49,550
+بزالي تبدأ تتصفط فوق بعض شويه شويه وبيكون موجود
+
+456
+00:49:49,550 --> 00:49:58,540
+فيها طبعا الـ melanin pigmentالخلايا تتخلص من
+
+457
+00:49:58,540 --> 00:50:06,780
+شكلها وتتجه إلى تلتسق مع بعضها البعض ببدا
+
+458
+00:50:06,780 --> 00:50:13,800
+الشكل تبقى هذه الخلايا يتغير عشان تلتسق مع بعضها
+
+459
+00:50:13,800 --> 00:50:20,100
+البعض طبعا بيبدأ الـ keratin fiber تتكون عشان تلسق
+
+460
+00:50:20,100 --> 00:50:24,340
+هذه الخلايا مع بعضها وتعطي الجلد القوة والصلابة
+
+461
+00:50:26,600 --> 00:50:32,280
+الملانين يعطي الجلد رمضة مخصصة مخصصة مخصصة مخصصة
+
+462
+00:50:32,280 --> 00:50:35,160
+مخصصة مخصصة مخصصة مخصصة
+
+463
+00:50:43,690 --> 00:50:51,130
+التي تكون من ثلاثة
+
+464
+00:50:51,130 --> 00:50:56,470
+إلى خمس طبقات من الخلايا المنبسطة تبع الجلب
+
+465
+00:50:56,470 --> 00:51:02,350
+الانزيام يفرقوا النوكليا والخلايا يموتوا في هذه
+
+466
+00:51:02,350 --> 00:51:09,390
+المرحلة في انزيم مخصص يبدأ يقتل الخلايا الموجودة
+
+467
+00:51:09,390 --> 00:51:15,680
+أو الأنوية تبع الخلايا الموجودةوبتبدأ الخلايا
+
+468
+00:51:15,680 --> 00:51:18,340
+تتحول إلى dead cells
+
+469
+00:51:21,730 --> 00:51:26,410
+ستراتام جرانيلوزام في هذه المرحلة يبدأ أنزاين
+
+470
+00:51:26,410 --> 00:51:33,810
+ينفرز ويبدأ تتفرج هذه الخلايا من الأنوية تبعتها
+
+471
+00:51:33,810 --> 00:51:39,130
+وتصبح خلايا ميتة dead cells لاحظوا الفرق أنا فيه
+
+472
+00:51:39,130 --> 00:51:43,730
+عندي أنوية أنا فيه عندي أنوية في داخل الخلايا لكن
+
+473
+00:51:43,730 --> 00:51:49,510
+في هذه الطبقة تبدأ الأنوية تختفي شوي شويوفي الطبقة
+
+474
+00:51:49,510 --> 00:51:58,510
+الخارجية تماما بيروح طبعا الأنوية وأثرها تماما
+
+475
+00:51:58,510 --> 00:52:08,450
+كيراتوهيلين تبعد في الـ cytoplasm تبدأ
+
+476
+00:52:08,450 --> 00:52:12,810
+مادة الكيراتوهيلين في هذا الطبقة وبتعطيني المرحلة
+
+477
+00:52:12,810 --> 00:52:16,950
+الأولى من الـ keratinization عملية تقوية الجلب
+
+478
+00:52:16,950 --> 00:52:23,650
+بالكيراتينالبروتين كيراتين تحمي الجلد من المصابة
+
+479
+00:52:23,650 --> 00:52:26,630
+والانفجار من الميكرويرغانيزم
+
+480
+00:52:29,450 --> 00:52:34,090
+وجود طبقة الكيراتين هذه هي عملية تعزل للخلايا
+
+481
+00:52:34,090 --> 00:52:38,070
+وتسكير للمسامات بحيث أنها لما تسمح لل micro
+
+482
+00:52:38,070 --> 00:52:44,790
+organism أنها تفوت من خلالها وهي اللي بتعطي الجسم
+
+483
+00:52:44,790 --> 00:52:49,830
+خاصية أنه يكون water proof مضاد للمي وما تفوت المي
+
+484
+00:52:49,830 --> 00:52:51,370
+في داخل الجسم
+
+485
+00:52:56,230 --> 00:53:01,350
+السورة Stratum Lucidum هي مجموعة من مرحلات مظلمة
+
+486
+00:53:01,350 --> 00:53:05,070
+من عيون مظلمة من عيون مظلمة من عيون مظلمة من عيون
+
+487
+00:53:05,070 --> 00:53:06,490
+مظلمة من عيون مظلمة من عيون مظلمة من عيون مظلمة من
+
+488
+00:53:06,490 --> 00:53:10,750
+عيون مظلمة من عيون مظلمة من عيون مظلمة من عيون
+
+489
+00:53:10,750 --> 00:53:11,010
+مظلمة من عيون مظلمة من عيون مظلمة من عيون مظلمة من
+
+490
+00:53:11,010 --> 00:53:12,770
+مظلمة من عيون مظلمة من عيون مظلمة من عيون مظلمة من
+
+491
+00:53:12,770 --> 00:53:14,230
+عيون مظلمة من عيون مظلمة من عيون مظلمة من عيون مظ
+
+492
+00:53:14,270 --> 00:53:20,050
+الحلقة أنه في هذه المرحلة Stratum granulosa بدأت
+
+493
+00:53:20,050 --> 00:53:24,070
+تنبسط الخلايا، لاحظ الخلايا هنا مربعة، Sequamous،
+
+494
+00:53:24,070 --> 00:53:31,220
+بدأت تنبسط شويه شويه، Stratum lucidumبدأت تنبسط
+
+495
+00:53:31,220 --> 00:53:38,540
+بشكل أكبر الخلايا وتتكون فيها مادة الكيروتين وتبدأ
+
+496
+00:53:38,540 --> 00:53:45,080
+الـ lamellar body release limits تفرز
+
+497
+00:53:45,080 --> 00:53:46,800
+المواد الدهنية
+
+498
+00:53:52,020 --> 00:53:58,540
+الـ Stratum Leucidum مجموعة من عضوات من عضوات من
+
+499
+00:53:58,540 --> 00:54:01,700
+عضوات من عضوات من عضوات من عضوات من عضوات من عضوات
+
+500
+00:54:01,700 --> 00:54:01,760
+من عضوات من عضوات من عضوات من عضوات من عضوات من
+
+501
+00:54:01,760 --> 00:54:06,680
+عضوات من عضوات من عضوات من عضوات
+
+502
+00:54:06,680 --> 00:54:09,240
+من عضوات من عضوات من عضوات من عضوات من عضوات من
+
+503
+00:54:09,240 --> 00:54:13,860
+عضوات من عضوات من عضوات من عضوات من عضوات من عضوات
+
+504
+00:54:13,860 --> 00:54:19,280
+من عضوات من عضوات
+
+505
+00:54:19,280 --> 00:54:30,220
+من عضواتالطبقة الخارجية Stratum Corneum هي الطبقة
+
+506
+00:54:30,220 --> 00:54:40,580
+الخارجية
+
+507
+00:54:40,580 --> 00:54:46,620
+وكلها عبارة عن طبقات من الخلايا المنبسطةوخلايا
+
+508
+00:54:46,620 --> 00:54:52,200
+ميتة which are constantly shed and replaced بتم
+
+509
+00:54:52,200 --> 00:54:58,320
+عملية تبديلها this shedding of cell is known as a
+
+510
+00:54:58,320 --> 00:55:05,080
+disquamation عملية تجديد الخلايا أو عملية يعني
+
+511
+00:55:05,080 --> 00:55:10,680
+التخلص من الخلايا الميتة الخاصة بالsystem وعشان
+
+512
+00:55:10,680 --> 00:55:19,180
+تتم عملية التجديد للخلاياالـSebums created by the
+
+513
+00:55:19,180 --> 00:55:23,080
+sebaceous gland help to keep this layer soft and
+
+514
+00:55:23,080 --> 00:55:30,840
+supple المادة السيبام أو الدهنية اللي بتفرز من
+
+515
+00:55:30,840 --> 00:55:36,240
+الـsebaceous gland هي اللي بتحافظ على أن هذه
+
+516
+00:55:36,240 --> 00:55:43,880
+الطبقة تبقى soft وsupple مرنة وخلّينا نقول لاكس
+
+517
+00:55:46,070 --> 00:55:50,050
+وناعمة Rubbing or friction of the skin will
+
+518
+00:55:50,050 --> 00:55:55,530
+increase the rate of a disquamation عملية الـ
+
+519
+00:55:55,530 --> 00:55:59,350
+Massage وعملية الـ Rubbing الفرق اللي إحنا بنعملها
+
+520
+00:55:59,350 --> 00:56:03,910
+أو الـ Delt هي بتسرق عملية الـ Disquamation اللي
+
+521
+00:56:03,910 --> 00:56:09,710
+عملية تجديد الخلايا و التخلص من الخلايا الميتة في
+
+522
+00:56:09,710 --> 00:56:17,910
+ال skinالآن هيك احنا بنكون خلصنا الخمس طبقات تبع
+
+523
+00:56:17,910 --> 00:56:25,610
+الـ Epidermis نيجي للطبقة التانية اللي هي طبقة الـ
+
+524
+00:56:25,610 --> 00:56:32,230
+Dermis اللي هي الطبقة الأكثر عمقًا The Dermis is
+
+525
+00:56:32,230 --> 00:56:32,690
+lies
+
+526
+00:57:07,360 --> 00:57:10,540
+الـ Dermis lies under the epidermis and it
+
+527
+00:57:10,540 --> 00:57:15,460
+composed of two layers Upper capillary layer and
+
+528
+00:57:15,460 --> 00:57:20,140
+lower reticular layer The blood capillary loops of
+
+529
+00:57:20,140 --> 00:57:24,300
+the dermis transport nutrients and oxygen to the
+
+530
+00:57:24,300 --> 00:57:29,240
+basal layer cells and remove waste products يعني
+
+531
+00:57:29,240 --> 00:57:35,000
+هي عملية المنطقة أوالأكبر بابيلا ريليان هي المنطقة
+
+532
+00:57:35,000 --> 00:57:39,360
+اللي موجود فيها الـ blood supplies واللي بتغذي
+
+533
+00:57:39,360 --> 00:57:43,760
+طبقات الـ epidermis، بالذات الـ basal
+
+534
+00:57:43,760 --> 00:57:50,760
+استراتامبزالي، وبتاخد منها ال waste products تتخلص
+
+535
+00:57:50,760 --> 00:57:51,100
+منها
+
+536
+00:57:56,530 --> 00:58:00,950
+بعض الـ Elastin و الـ Collagen فيبر موجود في هذه
+
+537
+00:58:00,950 --> 00:58:07,610
+الطبقة الـ reticular layer مجموعة من تشوق مرتبط
+
+538
+00:58:07,610 --> 00:58:14,810
+غير عادل مع أكتر كولاجين و Elastin فيبر الـ
+
+539
+00:58:14,810 --> 00:58:20,090
+reticular layerأكتر كثافة من الـ connective tissue
+
+540
+00:58:20,090 --> 00:58:29,170
+فيها أكتر كولوجين وأكتر إلاستين فايبرز ‏this gives
+
+541
+00:58:29,170 --> 00:58:34,590
+the skin strength, extensibility and elasticity
+
+542
+00:58:34,590 --> 00:58:39,570
+وهذا اللي بيعطي الطبقة هذه اللي بتعطي الجلب القوة
+
+543
+00:58:39,570 --> 00:58:47,470
+والمتانة والمرونة الخاصة بالجلب«الطفولة التي
+
+544
+00:58:47,470 --> 00:58:53,290
+تستطيع أن تستمتع و تتعود في الوقت الحاضر والعبودي»
+
+545
+00:58:53,290 --> 00:58:57,850
+كلنا بنعرف أن سديدات الحوامل في خلال مرحلة الحمل
+
+546
+00:58:57,850 --> 00:59:04,630
+بصير تمدد في الجلد بشكل كبير جدا كمان للناس الـ
+
+547
+00:59:04,630 --> 00:59:07,910
+obese الناس اللي بيصير عندهم سمنة زائدة بيصير تمدد
+
+548
+00:59:07,910 --> 00:59:14,680
+في الجلد بشكل كبير جدا ومجرد ما تمعملية الولادة أو
+
+549
+00:59:14,680 --> 00:59:21,320
+يضعف الإنسان بيبدأ يرجع الجلب لوضعه الطبيعي من
+
+550
+00:59:21,320 --> 00:59:29,280
+خلال خاصية الـ elasticity اللي موجودةالوضع الأساسي
+
+551
+00:59:29,280 --> 00:59:34,960
+أو الـ Matrix يحفظ الماء يحفظ الجلد لتبقى ثابتًا
+
+552
+00:59:34,960 --> 00:59:44,140
+وترجبًا كثير من المكونات الموجودة
+
+553
+00:59:44,140 --> 00:59:46,480
+في طبقت الديرمس
+
+554
+00:59:57,760 --> 01:00:04,020
+الغدد العراقية اللي موجودة، nerve endings، بعض
+
+555
+01:00:04,020 --> 01:00:11,660
+الأعصاب ونهايات العصبية، البوصيلات الشعر اللي
+
+556
+01:00:11,660 --> 01:00:15,860
+موجودة، بعض العضلات اللي موجودة اللي بيسموها الـ
+
+557
+01:00:15,860 --> 01:00:18,680
+Erector Pili Muscle الـ Erector Pili Muscle اللي
+
+558
+01:00:18,680 --> 01:00:22,600
+هي العضلة اللي بتكون مرتبطة بـ Voiceless الشعرة
+
+559
+01:00:30,150 --> 01:00:37,210
+ممكن يكون موجود فيبرو بلاست، ماش سيلز، بلازمة
+
+560
+01:00:37,210 --> 01:00:42,850
+وماكروفاجيس كل هذه المكونات بتكون موجودة في طبقة
+
+561
+01:00:42,850 --> 01:00:45,110
+الـ Dermis
+
+562
+01:01:04,740 --> 01:01:09,620
+أو في الماضي
+
+563
+01:01:09,620 --> 01:01:18,120
+من المحاضرة شباب
+
+564
+01:01:18,120 --> 01:01:20,220
+كله تمام الأمور هكذا؟
+
+565
+01:01:31,610 --> 01:01:38,630
+كله تمام الشباب؟ نرجع و نكمل واضحة الصورة عندكوا؟
+
+566
+01:01:38,630 --> 01:01:42,890
+رجعت؟ بيانات؟
+
+567
+01:01:42,890 --> 01:01:49,310
+صحيح واضح نجلأ الـ function of the skin أكتر
+
+568
+01:01:49,310 --> 01:01:54,550
+function نتطلع إليها خاصية ال sensitivity
+
+569
+01:02:04,800 --> 01:02:11,740
+الجلد يحتوي عديد من الـReceptors
+
+570
+01:02:11,740 --> 01:02:19,240
+وهذه هي اللي بتخلي الجلد أكتر حساسية من أي عضو آخر
+
+571
+01:02:19,240 --> 01:02:24,970
+موجود في جسم الإنسانهؤلاء الـ Receptors مستشعرين
+
+572
+01:02:24,970 --> 01:02:32,650
+للتواصل بالضغط، الحرارة، النار والماء، وسنجد أن كل
+
+573
+01:02:32,650 --> 01:02:36,190
+أنواع الـ sensation موجودة في الـ Receptor سبعتها
+
+574
+01:02:36,190 --> 01:02:42,740
+في الجلدمن خلال النجاة التي تنتهي في الجلد، تتبع
+
+575
+01:02:42,740 --> 01:02:47,280
+الإنبالاج إلى العقل، وكان هناك تجارب تجارب تجارب
+
+576
+01:02:47,280 --> 01:02:55,760
+تجارب تجارب تجارب تجارب تجارب
+
+577
+01:02:57,470 --> 01:03:03,230
+بتم استقباله من خلال الـ Receptors اللي موجودة في
+
+578
+01:03:03,230 --> 01:03:08,970
+داخل الـ Skin على سبيل المثال لو الواحد حط إيده
+
+579
+01:03:08,970 --> 01:03:16,370
+على فرن سخن تلقائي بيسحب إيده بسرعة كبيرة جدا لأن
+
+580
+01:03:16,370 --> 01:03:20,970
+الـ Receptors اللي موجودة أخدت الإشارة ودتها للـ
+
+581
+01:03:20,970 --> 01:03:25,990
+Brainوالـ Brain بعت إشارة للعضلات إنه تعمل سحب
+
+582
+01:03:25,990 --> 01:03:33,050
+للإيد من مكان الخطر، إذن أول وظيفة عرفناها اللي هي
+
+583
+01:03:33,050 --> 01:03:36,890
+sensitivity، وجودنا sensitivity لأنه عندنا كام
+
+584
+01:03:36,890 --> 01:03:42,510
+كبير من ال sensory receptors اللي موجودة و ال
+
+585
+01:03:42,510 --> 01:03:43,690
+nerves اللي موجودة
+
+586
+01:03:48,500 --> 01:03:52,420
+المظيفة التانية اللي احنا بنتطلع عليها الـHeat
+
+587
+01:03:52,420 --> 01:04:01,540
+Regulation عملية تنظيم حرارة الجسم كلنا بنعرف إنه
+
+588
+01:04:01,540 --> 01:04:08,700
+الـskin بيعمل طبقة عازلة وبيغطي جسم الإنسان كاملاً
+
+589
+01:04:08,700 --> 01:04:12,340
+الـskin is one of the main organs of the body for
+
+590
+01:04:12,340 --> 01:04:16,930
+the body temperature control أكتر شيء بتحكمأو
+
+591
+01:04:16,930 --> 01:04:21,890
+بيحافظ وبنظّم درجة حرارة الجسم Normal body
+
+592
+01:04:21,890 --> 01:04:28,110
+temperature تقريبا 37 درجة مئوية أو 98.4 فهرين
+
+593
+01:04:28,110 --> 01:04:33,570
+high Heat regulation is achieved by عملية تنظيم
+
+594
+01:04:33,570 --> 01:04:38,250
+الحرارة بتتم من عدة خطوات ال evaporation of sweat
+
+595
+01:04:38,250 --> 01:04:43,430
+عملية تبخر العرق وفي هذه الحالة طبعا احنا بنقول
+
+596
+01:04:43,430 --> 01:04:53,530
+انهعملية التعرّق اللي بتصير هي عملية نقل الماء
+
+597
+01:04:53,530 --> 01:05:01,540
+الناتج من عملية الـ Metabolism إلى خارج الجسموهذه
+
+598
+01:05:01,540 --> 01:05:05,960
+الطريقة بتخفض من درجة حرارة الجسم عشان هيك احنا
+
+599
+01:05:05,960 --> 01:05:09,620
+بنشوف الناس اللي عندهم أو الأطفال اللي عندهم حرارة
+
+600
+01:05:09,620 --> 01:05:14,940
+يعرقوش وزي ما بيقولوا الكبارنا انه مجرد ما يصير في
+
+601
+01:05:14,940 --> 01:05:19,360
+عيننا عملية تعرق معناه ان الطفل راحت الحرارة من
+
+602
+01:05:19,360 --> 01:05:24,460
+عنده، ليش؟ لأن عملية تنظيم الحرارة صارت بشكل أفضل
+
+603
+01:05:24,460 --> 01:05:27,980
+وظيفة
+
+604
+01:05:27,980 --> 01:05:34,890
+تانية للإنسانأو عملية التحكم في الحرارة من الـ
+
+605
+01:05:34,890 --> 01:05:38,450
+evaporation of the skin النقطة التانية الـ
+
+606
+01:05:38,450 --> 01:05:43,730
+dilation and constriction of the blood capillaries
+
+607
+01:05:43,730 --> 01:05:50,810
+in the skin على سبيل المثال، في البرد يحصل فينا
+
+608
+01:05:50,810 --> 01:05:55,550
+vasoconstriction في الـ blood vessels في حين أن في
+
+609
+01:05:55,550 --> 01:06:00,050
+الشتاء أو في الصيف يحصل فينا vasodilation
+
+610
+01:06:04,990 --> 01:06:11,490
+إذا صار حرارة كبيرة في الجسم، تتوسع الأوعي الدموية
+
+611
+01:06:11,490 --> 01:06:15,990
+السطحية طبعا، عشان تبدأ تبرد من الجسم، and more
+
+612
+01:06:15,990 --> 01:06:20,470
+blood flow to the surface، بجرب الدورة الدموية
+
+613
+01:06:20,470 --> 01:06:25,830
+اللي تحت الجلد هذه مباشرة، وبصير في نوع من التبرد
+
+614
+01:06:30,290 --> 01:06:34,850
+عندما يحدث هذا، الجسد يصبح أحمر أو رد، وهذا بنشوف
+
+615
+01:06:34,850 --> 01:06:38,370
+نتيجته أنه في الأيام اللي بيكون فيها الواحد شبه
+
+616
+01:06:38,370 --> 01:06:45,950
+بيعمل مجهود كبير، بيلاقي الجسم، الوجه،
+
+617
+01:06:45,950 --> 01:06:48,890
+لونه أحمر أو وردي
+
+618
+01:06:54,480 --> 01:07:08,970
+هذا الاحمرار اللي بيكون بيسموه الارتيماإذا صار
+
+619
+01:07:08,970 --> 01:07:14,410
+في عنا سجعة كثير زي ما بيصير في أيام البرد أو في
+
+620
+01:07:14,410 --> 01:07:18,730
+الناس اللي بيكونوا في أماكن المتجمدة بيصير
+
+621
+01:07:18,730 --> 01:07:22,730
+Vasoconstriction في الـBlood vessels Less blood
+
+622
+01:07:22,730 --> 01:07:27,870
+flow to the surface بقلل من وصول الدم
+
+623
+01:07:34,950 --> 01:07:40,610
+وبالتالي بقلل من عملية فقدان الحرارة اللي بتكون
+
+624
+01:07:40,610 --> 01:07:41,510
+موجودة
+
+625
+01:07:47,330 --> 01:07:52,930
+العزل يتم من خلال الـ adipose tissue الخلايا أو
+
+626
+01:07:52,930 --> 01:07:55,830
+الأنسجال الدهنية الخلايا أو الأنسجال الدهنية
+
+627
+01:07:55,830 --> 01:07:56,370
+الخلايا أو الأنسجال الدهنية الخلايا أو الأنسجال
+
+628
+01:07:56,370 --> 01:07:56,450
+الدهنية الخلايا أو الأنسجال الدهنية الخلايا أو
+
+629
+01:07:56,450 --> 01:07:56,570
+الخلايا أو الأنسجال الدهنية الخلايا أو الأنسجال
+
+630
+01:07:56,570 --> 01:07:56,910
+الدهنية الخلايا أو الأنسجال الدهنية الخلايا أو
+
+631
+01:07:56,910 --> 01:07:57,970
+الأنسجال الدهنية الخلايا أو الأنسجال الدهنية
+
+632
+01:07:57,970 --> 01:08:03,990
+الخلايا أو الأنسجال الدهنية الخلايا أو الأنسجال
+
+633
+01:08:03,990 --> 01:08:08,570
+الدهنية الخلايا أو الأنسجال الدهنالطبقة العازلة أو
+
+634
+01:08:08,570 --> 01:08:14,690
+الطبقة الدهنية العازلة إنها بتحافظ على حرارة الجسم
+
+635
+01:08:14,690 --> 01:08:15,870
+في الداخل
+
+636
+01:08:20,860 --> 01:08:26,260
+إذن عرفنا التلات خطوات اللي ممكن الجسم يتحكم فيهم
+
+637
+01:08:26,260 --> 01:08:31,420
+في الحرارة أو كيف يقوم الجلد بتنظيم درجة حرارة
+
+638
+01:08:31,420 --> 01:08:35,200
+الجسم أول حاجة يقولنا الـEvaporation، التانية
+
+639
+01:08:35,200 --> 01:08:41,900
+الـdilation و الطريقة التالتة الـinsulation of
+
+640
+01:08:41,900 --> 01:08:49,040
+adipose tissue«الفنكشن من الجلد» ولمّا بنحكي على
+
+641
+01:08:49,040 --> 01:08:55,140
+الـ «الفنكشن من الجلد» طبعا حكينا على regulation
+
+642
+01:08:55,140 --> 01:09:01,040
+of temperature الآن نحكي عن الabsorption
+
+643
+01:09:01,040 --> 01:09:09,020
+absorption of subcutaneous through the skin is
+
+644
+01:09:09,020 --> 01:09:15,490
+limitedabsorption of substance through the skin is
+
+645
+01:09:15,490 --> 01:09:21,830
+limited عملية امتصاص المواد من خلال الجلب محدودة
+
+646
+01:09:21,830 --> 01:09:26,690
+جدا ممكن بعض الأدوية اللي احنا بنستخدمها وممكن في
+
+647
+01:09:26,690 --> 01:09:29,450
+بعض الوسائل العلاجية اللي احنا بنستخدمها العلاج
+
+648
+01:09:29,450 --> 01:09:33,590
+الكهربي نسرع في عملية الامتصاص لكن طبيعة الجسم
+
+649
+01:09:33,590 --> 01:09:45,090
+طريقة او خاصية الامتصاصمن الجلد محدود جدًا The
+
+650
+01:09:45,090 --> 01:09:48,310
+keratin in the cells and the coverings of sebum
+
+651
+01:09:48,310 --> 01:09:52,910
+prevent the absorption of water وجود مادة
+
+652
+01:09:52,910 --> 01:09:58,250
+الكيراتين والمادة الدهنية اللي موجودة تمنع انتصاص
+
+653
+01:09:58,250 --> 01:10:04,230
+الماء Making the skin waterproof وهذا اللي بيخلي
+
+654
+01:10:04,230 --> 01:10:09,090
+الجسم أو الجلد مضاد للمي مابيصنحش بدخول الماء في
+
+655
+01:10:09,090 --> 01:10:15,500
+جسم الإنسانHowever, the skin will allow certain
+
+656
+01:10:15,500 --> 01:10:20,440
+substances to pass through it، زي ما قلنا إنه في
+
+657
+01:10:20,440 --> 01:10:24,960
+بعض المواد اللي بنستخدمها إحنا في العلاج، زي
+
+658
+01:10:24,960 --> 01:10:28,960
+البراهم أو الكريمات اللي بتكون موجودة، بتتم
+
+659
+01:10:28,960 --> 01:10:34,850
+امتصاصها من خلال الجلدالعلاجات الأخرى في بعض
+
+660
+01:10:34,850 --> 01:10:45,790
+الأحيان تتم تجريبها من خلال الجلد وهي طبعاً
+
+661
+01:10:45,790 --> 01:10:51,530
+لها ميزات خاصة حيث أنها تسمح للجلد بعملية الانتصاص
+
+662
+01:10:51,530 --> 01:11:02,220
+Function 4 على الجلد Protection قلنا إنهمن خلال
+
+663
+01:11:02,220 --> 01:11:06,660
+الـ Regulation of Temperature قلنا Absorption
+
+664
+01:11:06,660 --> 01:11:11,920
+ونحكي عن Protection which is a very important
+
+665
+01:11:11,920 --> 01:11:12,500
+function
+
+666
+01:11:19,060 --> 01:11:23,120
+لو لا وجود في الـ skin الشكل اللي موجود عليه،
+
+667
+01:11:23,120 --> 01:11:28,120
+بيصير أي organism، أي ميكروبات، أي فيروس سهل جدا
+
+668
+01:11:28,120 --> 01:11:33,760
+أنها تخش في داخل الخلايا وتعمل مشاكل كبيرة جدا
+
+669
+01:11:34,400 --> 01:11:42,340
+السكين يصنع حاجز كبير جدًا يحمي الجسم من القلب،
+
+670
+01:11:42,340 --> 01:11:49,580
+ويعطي حماية من حاجات كيميائية وتحمي من المواد
+
+671
+01:11:49,580 --> 01:11:52,860
+الكيميائية ومن القدرات الموجودة
+
+672
+01:11:55,050 --> 01:11:59,590
+protect from invasion by microorganism تحمي من
+
+673
+01:11:59,590 --> 01:12:06,470
+هجوم اللي ممكن يصير من الكائنات الدقيقة سواء كانت
+
+674
+01:12:06,470 --> 01:12:10,690
+فيروسات، ميكروبات، بكتيريا، غيرها The mixture of
+
+675
+01:12:10,690 --> 01:12:16,170
+sebum and sweet form and acid mentally over the
+
+676
+01:12:16,170 --> 01:12:23,740
+surface of the skin عملية اختلاط المادةالعرق أو
+
+677
+01:12:23,740 --> 01:12:28,100
+المادة العرقية أو المخرجات بـ Sweet gland اللي هو
+
+678
+01:12:28,100 --> 01:12:36,300
+العرق مع الدهون يعطي حمض mentally وطبعاً بيكون هذا
+
+679
+01:12:36,300 --> 01:12:40,960
+قاتل اللي يسمونه الـ Microbacter الـ pH of the
+
+680
+01:12:40,960 --> 01:12:45,820
+skin is around 5 and this slightly acidic
+
+681
+01:12:45,820 --> 01:12:51,380
+environment هو اللي بيخلي طبقة أو البيئة حامضية
+
+682
+01:12:52,130 --> 01:12:56,650
+البيئة اللي موجودة في داخل الجلد، which
+
+683
+01:12:56,650 --> 01:13:00,790
+discourages the growth of microorganisms، ما بتسمح
+
+684
+01:13:00,790 --> 01:13:04,710
+لأي Microbot أنها تتكثر
+
+685
+01:13:21,170 --> 01:13:27,130
+خلصت بالمرة يعني، خمس دقايق و بكون خلصت، رب نسى،
+
+686
+01:13:27,130 --> 01:13:34,090
+بنتفج
+
+687
+01:13:34,090 --> 01:13:41,290
+على وقت المحاضرة، بس نخلص هذه بنشوف كيف، minor
+
+688
+01:13:41,290 --> 01:13:41,910
+injuries
+
+689
+01:13:51,300 --> 01:13:57,800
+الجلب تعمل امتصاص لكل الـ ultraviolet radiation
+
+690
+01:13:57,800 --> 01:14:01,780
+اللي بتكون موجودة و بتحمي الجسم منها الـ minor
+
+691
+01:14:01,780 --> 01:14:08,660
+injuries الجلب يتحملها طبعا سواء كان جروح أو غيره
+
+692
+01:14:12,260 --> 01:14:16,500
+الـ Functions كمان ممكن تكون عملية الـ Execration
+
+693
+01:14:16,500 --> 01:14:22,280
+عملية التخلص من بعض المواد اللي مش بحاجة إلها
+
+694
+01:14:22,280 --> 01:14:26,500
+الجسم عن طريق الـ Execration من خلال التعرق ممكن
+
+695
+01:14:26,500 --> 01:14:32,660
+يتخلص من اليوريا و other waste products زي السويت
+
+696
+01:14:32,660 --> 01:14:39,250
+ممكن يتخلص منها عن طريق الجلبSecretion and Storage
+
+697
+01:14:39,250 --> 01:14:46,270
+عملية الإفراز وعملية التقزين طبعاً Sebaceous gland
+
+698
+01:14:46,270 --> 01:14:52,170
+طبعا الجلب بيفرز هذه المادة على شكل سيبا اللي هي
+
+699
+01:14:52,170 --> 01:14:55,830
+sebaceous gland الخلايا الدهنية أو الغدد الدهنية
+
+700
+01:14:55,830 --> 01:15:01,410
+تفرز السيبا اللي هو المادة الدهنية هذه which with
+
+701
+01:15:01,410 --> 01:15:08,160
+sweet form protective acid هي و العرقتعمل المادة
+
+702
+01:15:08,160 --> 01:15:14,820
+الحمضية اللي بتحمي الجلد Sebum also lubricate the
+
+703
+01:15:14,820 --> 01:15:20,780
+skin keeping it soft and supple بتحافظ على رطوبة
+
+704
+01:15:20,780 --> 01:15:28,550
+وترطيبالجلب يكون ناعم باستمرار، لا يكون جاف، لأن
+
+705
+01:15:28,550 --> 01:15:33,910
+البشرة دهنية، البشرة جافة، فهذا يحافظ على أن
+
+706
+01:15:33,910 --> 01:15:37,410
+البشرة راطبة باستمرار
+
+707
+01:15:52,060 --> 01:15:59,080
+للـ Vitamin D .. طولنا بنعرف ان احنا .. اه يا عبد
+
+708
+01:15:59,080 --> 01:16:04,740
+.. معاك
+
+709
+01:16:04,740 --> 01:16:08,320
+.. اه خلاص .. كان سورة واحدة
+
+710
+01:16:13,020 --> 01:16:21,960
+عملية تكوين الـ Vitamin D كلنا نعرف أن الجسم بيصنع
+
+711
+01:16:21,960 --> 01:16:28,180
+Vitamin D في الداخل عشان نسرع من عملية تصنيعه
+
+712
+01:16:28,180 --> 01:16:33,920
+بنلاقي أنه ندهن الجلد بزيت زتون اللي هو بيحتوي على
+
+713
+01:16:33,920 --> 01:16:41,410
+Vitamin Eوبنعرض الطفل لأشعة الشمس هذا التعرض لأشعة
+
+714
+01:16:41,410 --> 01:16:46,150
+الشمس الـ ultraviolet بيساعد الجسم في تحويل
+
+715
+01:16:46,150 --> 01:16:54,770
+vitamin E لvitamin D في داخل الجسم المرة
+
+716
+01:16:54,770 --> 01:16:57,650
+اللي جاي ان شاء الله رب العالمين هنحكي عن effect
+
+717
+01:16:57,650 --> 01:17:05,050
+of massage on the skin طيب، في حد عنده أي استفسار؟
+
+718
+01:17:16,100 --> 01:17:21,320
+أسأل عن أول وظيفة للـfunction of the skin
+
+719
+01:17:35,140 --> 01:17:38,600
+الان عندما نحكي عن موضوع الـ Sensitivity نقول إن
+
+720
+01:17:38,600 --> 01:17:45,300
+الجسم أو الجلد بيحتوي على الـ Sensory Receptors
+
+721
+01:17:45,300 --> 01:17:52,220
+مستقبلات الإحساس اللي موجودة في داخل الجلد وكل
+
+722
+01:17:52,220 --> 01:17:57,840
+مستقبلات الإحساس اللي موجودة في الجلد هذا طبعا
+
+723
+01:17:57,840 --> 01:18:04,930
+بيصير بيخل الجسم أو بيخل ال skin حساس لأيالشيء
+
+724
+01:18:04,930 --> 01:18:10,390
+سواء كانت pressure أو touch أو heat أو cold وبتعطي
+
+725
+01:18:10,390 --> 01:18:14,390
+الإنسان feedback فإذا كان هذا الإحساس اللي موجود
+
+726
+01:18:14,390 --> 01:18:21,770
+حرارة كتير على طريق مستقبلات الحسية بتبعت إشارة
+
+727
+01:18:21,770 --> 01:18:28,030
+للمخ المخ يبعت إشارة للعضلات أنه تبعد الطرف هذا عن
+
+728
+01:18:28,830 --> 01:18:33,570
+وهو مكان الخطر، زي ما قلنا إنه لو الواحد لمس الفرن
+
+729
+01:18:33,570 --> 01:18:39,610
+وهو سخنالتلقائب يبعد إيده، مين اللي خلّاه يبعد
+
+730
+01:18:39,610 --> 01:18:43,150
+إيده المستقبلات الحسية اللي موجودة هذه، خلّته يحس
+
+731
+01:18:43,150 --> 01:18:48,470
+بالألأ؟ الـ Receptors هذه خلّته يحس بالألم، بعتت
+
+732
+01:18:48,470 --> 01:18:52,950
+الإشارة هذه للمخ، المخ بعت للعضلات إنه ابعد إيدك
+
+733
+01:18:52,950 --> 01:18:58,490
+عن مكان الخطر، هي عملت نوع من الحماية للجسم من
+
+734
+01:18:58,490 --> 01:19:05,470
+خلال المستقبلات الحسية، تمام هك؟ تذكر بعد إذنك؟
+
+735
+01:19:11,730 --> 01:19:17,150
+مش مشكلة لو كانت المحاضرات مصورة لأن احنا مثلا في
+
+736
+01:19:17,150 --> 01:19:20,710
+المحاضرة هاي ممكن ندفن نت ممكن نطلع ممكن نكون
+
+737
+01:19:20,710 --> 01:19:24,510
+متأخرين شوية ممكن يكون المحاضرات مصورة ويكون دوا
+
+738
+01:19:24,510 --> 01:19:27,630
+بالميتا أو المحاضرة أو ال classroom مناقشة كل
+
+739
+01:19:27,630 --> 01:19:33,170
+أسبوع إذا كان ممكن يكون هيك أفضل إيش رأيكم يا
+
+740
+01:19:33,170 --> 01:19:33,670
+شباب؟
+
+741
+01:19:40,790 --> 01:19:44,290
+طيب ربنا سهل ان شاء الله بس في نفس الوقت يعني بدي
+
+742
+01:19:44,290 --> 01:19:50,710
+مشارك منكم و لما بنحدد موعد يعني زي ما قلت انا
+
+743
+01:19:50,710 --> 01:19:53,270
+ممكن في المرات الجاية يكون من خلال ال big blue
+
+744
+01:19:53,270 --> 01:19:57,310
+button تمام
+
+745
+01:20:02,350 --> 01:20:07,910
+في حد عنده أي استفسار، عنده أي حاجة يحب يضيفها؟
+
+746
+01:20:07,910 --> 01:20:14,070
+متى ممكن تكون المحاضرة الجاية؟ هو في الغالب هتكون
+
+747
+01:20:14,070 --> 01:20:18,570
+الأحد الجاى ان شاء الله رب العالمين نزل على
+
+748
+01:20:18,570 --> 01:20:23,190
+الموديل نزل على الموديل بس المحاضرة .. يعني خلاني
+
+749
+01:20:23,190 --> 01:20:29,290
+أقول اللي موجود معايا الآن لأنه كبير كمان
+
+750
+01:20:34,940 --> 01:20:39,040
+أنا معايا عندى، أنا لأ مش هنزل إلا اللي أنا بدياه،
+
+751
+01:20:39,040 --> 01:20:44,140
+لأنه في تعديل عليهم، حيصير يعني كل محاضرة بتنزل
+
+752
+01:20:44,140 --> 01:20:48,160
+إسلادات خاصة بيها؟ أه أه أه، هنزلهم واحدة واحدة،
+
+753
+01:20:48,160 --> 01:20:53,500
+على أساس إنه في بعض التعديلات أنا بعملهم، تمام
+
+754
+01:20:53,500 --> 01:20:59,280
+مكتور، مكتور، مش
+
+755
+01:20:59,280 --> 01:21:01,300
+سامع
+
+756
+01:21:02,650 --> 01:21:07,630
+المنهج بلغه كبير، كبير، كبير، كبير، كبير، كبير،
+
+757
+01:21:07,630 --> 01:21:09,250
+كبير، كبير، كبير، كبير، كبير، كبير، كبير، كبير،
+
+758
+01:21:09,250 --> 01:21:12,070
+كبير، كبير، كبير، كبير، كبير، كبير، كبير، كبير،
+
+759
+01:21:12,070 --> 01:21:14,310
+كبير، كبير، كبير، كبير، كبير، كبير، كبير، كبير،
+
+760
+01:21:14,310 --> 01:21:15,490
+كبير، كبير، كبير، كبير، كبير، كبير، كبير، كبير،
+
+761
+01:21:15,490 --> 01:21:16,630
+كبير، كبير، كبير، كبير، كبير، كبير، كبير، كبير،
+
+762
+01:21:16,630 --> 01:21:30,210
+كبير، كبير، كبير، كبير، كبير، كبير، كبير، كبير،
+
+763
+01:21:31,200 --> 01:21:41,020
+أربعين فاصلة و ستين نهائية مافيش
+
+764
+01:21:41,020 --> 01:21:44,760
+تكاليف يعني، مش هسايمة، مافيش تكاليف يا دكتور
+
+765
+01:21:44,760 --> 01:21:48,640
+الحيوان
+
+766
+01:21:48,640 --> 01:21:51,820
+فيه تكاليف، فالمشكلة الأساسية اللي حناتي اللي
+
+767
+01:21:51,820 --> 01:21:58,120
+هيكون الأساسية طب دكتور أجد كل أسبوع هتكون في
+
+768
+01:21:58,120 --> 01:22:06,310
+المحاضرة ولا كان؟إن شاء الله رب العالمين الله
+
+769
+01:22:06,310 --> 01:22:09,430
+يعفوك
+
+770
+01:22:09,430 --> 01:22:13,130
+يا ربنا إن شاء الله ماشي يا شباب أي حاجة بيكوا
+
+771
+01:22:13,130 --> 01:22:19,390
+إياها عصار
+
+772
+01:22:19,390 --> 01:22:22,690
+عصار
+
+773
+01:22:22,690 --> 01:22:27,090
+أه أه أه أه أه أه أه أه أه أه أه أه أه أه أه أه أه
+
+774
+01:22:27,090 --> 01:22:27,430
+أه أه أه أه أه أه أه أه أه أه أه أه أه أه أه أه أه
+
+775
+01:22:27,430 --> 01:22:27,570
+أه أه أه أه أه أه أه أه أه أه أه أه أه أه أه أه أه
+
+776
+01:22:27,570 --> 01:22:27,610
+أه أه أه أه أه أه أه أه أه أه أه أه أه أه أه أه أه
+
+777
+01:22:27,610 --> 01:22:30,250
+أه أه أه أ
+
+778
+01:22:51,650 --> 01:22:55,290
+الدكتور بيحسس إن هو بترجم إن إحنا علماء إنجليزي
+
+779
+01:23:02,580 --> 01:23:04,860
+تعالوا على المجموعة تعالوا على المجموعة يالا كله
+
+780
+01:23:04,860 --> 01:23:11,380
+يطلع من هنا تعالوا على المجموعة تعالوا
+
+781
+01:23:11,380 --> 01:23:12,180
+على المجموعة تعالوا على المجموعة تعالوا على
+
+782
+01:23:12,180 --> 01:23:12,820
+المجموعة تعالوا على المجموعة تعالوا على المجموعة
+
+783
+01:23:12,820 --> 01:23:20,600
+تعالوا على المجموعة تعالوا على المجموعة تعالوا
+
+784
+01:23:20,600 --> 01:23:25,200
+على المجموعة تعالوا على المجموعة
+
diff --git a/PL9fwy3NUQKwYm86P6OkVZGZ_arkOiz0x7/Ft1hBRsDwUk_raw.json b/PL9fwy3NUQKwYm86P6OkVZGZ_arkOiz0x7/Ft1hBRsDwUk_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..49fbfbad0a6c839b1af88c42714679b957097316
--- /dev/null
+++ b/PL9fwy3NUQKwYm86P6OkVZGZ_arkOiz0x7/Ft1hBRsDwUk_raw.json
@@ -0,0 +1 @@
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{"id": 93, "seek": 241102, "start": 2402.8, "end": 2411.02, "text": "إذا كان أسفر أو أزرق أو غيره، يعني أنهم عندهم مشكلة معينة", "tokens": [28814, 15730, 25961, 5551, 3794, 5172, 2288, 34051, 5551, 11622, 2288, 4587, 34051, 32771, 13546, 3224, 12399, 37495, 22653, 14739, 16095, 43242, 16095, 37893, 28820, 3660, 20449, 9957, 3660], "avg_logprob": -0.38749999900658927, "compression_ratio": 1.2560975609756098, "no_speech_prob": 2.3245811462402344e-06, "words": [{"start": 2402.7999999999997, "end": 2403.72, "word": "إذا", "probability": 0.5325927734375}, {"start": 2403.72, "end": 2404.06, "word": " كان", "probability": 0.96142578125}, {"start": 2404.06, "end": 2404.82, "word": " أسفر", "probability": 0.76251220703125}, {"start": 2404.82, "end": 2405.16, "word": " أو", "probability": 0.7685546875}, {"start": 2405.16, "end": 2406.56, "word": " أزرق", "probability": 0.93408203125}, {"start": 2406.56, "end": 2406.76, "word": " أو", "probability": 0.48681640625}, {"start": 2406.76, "end": 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"temperature": 1.0}, {"id": 95, "seek": 248098, "start": 2462.38, "end": 2480.98, "text": "لو جينا نتطلع على ال layers تبعات ال dermis و ال epidermis هلاجي ان ال epidermis هلاجيها الطبقة الخارجية اللي للأعلى", "tokens": [1211, 2407, 10874, 1829, 8315, 8717, 2655, 9566, 1211, 3615, 15844, 2423, 7914, 6055, 3555, 3615, 9307, 2423, 33080, 271, 4032, 2423, 13510, 966, 271, 8032, 15040, 7435, 1829, 16472, 2423, 13510, 966, 271, 8032, 15040, 7435, 1829, 11296, 41950, 3555, 28671, 33962, 9640, 7435, 10632, 13672, 1829, 24976, 10721, 3615, 23942], "avg_logprob": -0.3331368059482215, "compression_ratio": 1.4918032786885247, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 2462.38, "end": 2463.62, "word": "لو", "probability": 0.4722900390625}, {"start": 2463.62, "end": 2463.88, "word": " جينا", "probability": 0.91015625}, {"start": 2463.88, "end": 2464.44, "word": " نتطلع", "probability": 0.87509765625}, {"start": 2464.44, "end": 2464.8, "word": " على", "probability": 0.828125}, {"start": 2464.8, "end": 2466.68, "word": " ال", "probability": 0.6298828125}, {"start": 2466.68, "end": 2467.12, "word": " layers", "probability": 0.63427734375}, {"start": 2467.12, "end": 2467.74, "word": " تبعات", "probability": 0.8074951171875}, {"start": 2467.74, "end": 2467.9, "word": " ال", "probability": 0.83203125}, {"start": 2467.9, "end": 2468.48, "word": " dermis", "probability": 0.786376953125}, {"start": 2468.48, "end": 2468.64, "word": " و", "probability": 0.431884765625}, {"start": 2468.64, "end": 2468.8, "word": " ال", "probability": 0.71337890625}, {"start": 2468.8, "end": 2469.64, "word": " epidermis", "probability": 0.9031575520833334}, {"start": 2469.64, "end": 2470.52, "word": " هلاجي", "probability": 0.665985107421875}, {"start": 2470.52, "end": 2470.76, "word": " ان", "probability": 0.3671875}, {"start": 2470.76, "end": 2471.6, "word": " ال", "probability": 0.55908203125}, {"start": 2471.6, "end": 2473.56, "word": " epidermis", "probability": 0.986328125}, 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267067, "start": 2643.75, "end": 2670.67, "text": "الطبقة التالتة Stratum Granulosa وفي هذه طبعاً بيبدأ عملية الـ keratohyaline والـ hard protein envelope تتكوّن في هذه الطبقة Stratum Placedium اللي هي المنطقة أو المرحلة الرابعة أو الطبقة الرابعة", "tokens": [6027, 9566, 3555, 28671, 16712, 6027, 2655, 3660, 745, 4481, 449, 23554, 425, 6447, 4032, 41185, 29538, 23032, 3555, 3615, 995, 14111, 4724, 1829, 44510, 10721, 6225, 42213, 10632, 2423, 39184, 19377, 267, 1445, 7265, 533, 16070, 39184, 1152, 7944, 33860, 68, 6055, 2655, 4117, 2407, 11703, 1863, 8978, 29538, 41950, 3555, 28671, 745, 4481, 449, 2149, 3839, 2197, 13672, 1829, 39896, 9673, 1863, 9566, 28671, 34051, 9673, 2288, 5016, 37977, 34892, 16758, 27884, 34051, 41950, 3555, 28671, 34892, 16758, 27884], "avg_logprob": -0.2848704391863288, "compression_ratio": 1.5714285714285714, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 2643.75, "end": 2644.91, "word": "الطبقة", "probability": 0.8577880859375}, {"start": 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dead", "probability": 0.50634765625}, {"start": 2675.49, "end": 2676.79, "word": " cells", "probability": 0.79638671875}, {"start": 2676.79, "end": 2677.95, "word": " contains", "probability": 0.1923828125}, {"start": 2677.95, "end": 2678.75, "word": " dispersed", "probability": 0.2242431640625}, {"start": 2678.75, "end": 2679.75, "word": " keratohyaline", "probability": 0.7509765625}, {"start": 2679.75, "end": 2680.69, "word": " هلاجي", "probability": 0.935302734375}, {"start": 2680.69, "end": 2680.87, "word": " ان", "probability": 0.75927734375}, {"start": 2680.87, "end": 2681.99, "word": " ال", "probability": 0.79638671875}, {"start": 2681.99, "end": 2682.29, "word": " dead", "probability": 0.712890625}, {"start": 2682.29, "end": 2682.73, "word": " cells", "probability": 0.85107421875}, {"start": 2682.73, "end": 2683.41, "word": " تبدأ", "probability": 0.9104817708333334}, {"start": 2683.41, "end": 2683.55, "word": " من", "probability": 0.82568359375}, {"start": 2683.55, "end": 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"word": " الخلايا", "probability": 0.9484049479166666}, {"start": 2715.59, "end": 2715.59, "word": " اللي", "probability": 0.97412109375}, {"start": 2715.59, "end": 2715.89, "word": " موجودة", "probability": 0.980224609375}, {"start": 2715.89, "end": 2715.89, "word": " بين", "probability": 0.96826171875}, {"start": 2715.89, "end": 2715.89, "word": " الخلايا", "probability": 0.95458984375}, {"start": 2715.89, "end": 2716.11, "word": " اللي", "probability": 0.97607421875}, {"start": 2716.11, "end": 2716.11, "word": " موجودة", "probability": 0.980224609375}, {"start": 2716.11, "end": 2716.11, "word": " بين", "probability": 0.966796875}, {"start": 2716.11, "end": 2716.11, "word": " الخلايا", "probability": 0.9593098958333334}, {"start": 2716.11, "end": 2716.11, "word": " اللي", "probability": 0.9765625}], "temperature": 1.0}, {"id": 105, "seek": 273648, "start": 2716.54, "end": 2736.48, "text": "والـ Keratin اللي بيكون موجودة طبعاً هذه هي الخمس طبقات الخاصة بالـ Epidermis أو الطبقة الخارجية من الجلد في حين أن الطبقة التانية، الطبقة الداخلية من الجلد", "tokens": [2407, 6027, 39184, 20706, 22685, 13672, 1829, 4724, 1829, 30544, 3714, 29245, 23328, 3660, 23032, 3555, 3615, 995, 14111, 29538, 39896, 33962, 2304, 3794, 23032, 3555, 4587, 9307, 33962, 33546, 3660, 20666, 39184, 9970, 327, 966, 271, 34051, 41950, 3555, 28671, 33962, 9640, 7435, 10632, 9154, 25724, 1211, 3215, 8978, 11331, 9957, 14739, 41950, 3555, 28671, 16712, 7649, 10632, 12399, 41950, 3555, 28671, 32748, 47283, 1211, 10632, 9154, 25724, 1211, 3215], "avg_logprob": -0.12348090753787094, "compression_ratio": 1.646341463414634, "no_speech_prob": 1.1026859283447266e-05, "words": [{"start": 2716.54, "end": 2716.94, "word": "والـ", "probability": 0.7967122395833334}, {"start": 2716.94, "end": 2717.48, "word": " Keratin", "probability": 0.7274169921875}, {"start": 2717.48, "end": 2718.02, "word": " اللي", "probability": 0.87744140625}, {"start": 2718.02, "end": 2718.62, "word": " بيكون", "probability": 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endings sensitive to touch ‏هي اللي بتعطي الجلد اللون ‏كمان بتعطي أو في موجود فيها ال nerve endings ‏اللي هي ال receptors of the brain أو الـ", "tokens": [913, 237, 3522, 2709, 264, 3178, 1080, 6292, 2017, 1059, 237, 3224, 1829, 13672, 1829, 39894, 3615, 9566, 1829, 25724, 1211, 3215, 13672, 11536, 33962, 33546, 4724, 1829, 3224, 1059, 237, 5723, 4583, 8306, 264, 16355, 42474, 9477, 281, 2557, 1059, 237, 3224, 1829, 13672, 1829, 39894, 3615, 9566, 1829, 25724, 1211, 3215, 13672, 11536, 1059, 237, 24793, 7649, 39894, 3615, 9566, 1829, 34051, 8978, 3714, 29245, 23328, 8978, 11296, 2423, 16355, 42474, 1059, 237, 6027, 20292, 39896, 2423, 34102, 295, 264, 3567, 34051, 2423, 39184], "avg_logprob": -0.20779453988732963, "compression_ratio": 1.715, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 2923.56, "end": 2923.84, "word": "‏It", "probability": 0.339752197265625}, {"start": 2923.84, "end": 2924.28, "word": " gives", "probability": 0.89453125}, {"start": 2924.28, "end": 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"end": 2945.48, "word": " هي", "probability": 0.8779296875}, {"start": 2945.48, "end": 2946.06, "word": " ال", "probability": 0.689453125}, {"start": 2946.06, "end": 2947.28, "word": " receptors", "probability": 0.2078857421875}, {"start": 2947.28, "end": 2948.28, "word": " of", "probability": 0.9296875}, {"start": 2948.28, "end": 2948.6, "word": " the", "probability": 0.84375}, {"start": 2948.6, "end": 2948.86, "word": " brain", "probability": 0.53515625}, {"start": 2948.86, "end": 2949.54, "word": " أو", "probability": 0.67919921875}, {"start": 2949.54, "end": 2949.74, "word": " الـ", "probability": 0.824951171875}], "temperature": 1.0}, {"id": 114, "seek": 296747, "start": 2952.97, "end": 2967.47, "text": "اللي بيسموها miracles disks Stratospinosome it is composed of eight to ten layers of living cells", "tokens": [6027, 20292, 4724, 1829, 38251, 2407, 11296, 24685, 41617, 745, 4481, 2763, 15220, 423, 309, 307, 18204, 295, 3180, 281, 2064, 7914, 295, 2647, 5438], "avg_logprob": 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0.99462890625}, {"start": 3252.84, "end": 3253.86, "word": " عضوات", "probability": 0.9913330078125}, {"start": 3253.86, "end": 3254.34, "word": " من", "probability": 0.99462890625}, {"start": 3254.34, "end": 3254.88, "word": " عضوات", "probability": 0.9910888671875}, {"start": 3254.88, "end": 3254.9, "word": " من", "probability": 0.99462890625}, {"start": 3254.9, "end": 3259.28, "word": " عضوات", "probability": 0.9910888671875}, {"start": 3259.28, "end": 3259.72, "word": " من", "probability": 0.99462890625}, {"start": 3259.72, "end": 3260.14, "word": " عضوات", "probability": 0.990966796875}], "temperature": 1.0}, {"id": 128, "seek": 328558, "start": 3261.56, "end": 3285.58, "text": "الطبقة الخارجية Stratum Corneum هي الطبقة الخارجية وكلها عبارة عن طبقات من الخلايا المنبسطة", "tokens": [6027, 9566, 3555, 28671, 33962, 9640, 7435, 10632, 745, 4481, 449, 3925, 716, 449, 39896, 41950, 3555, 28671, 33962, 9640, 7435, 10632, 4032, 28820, 11296, 6225, 3555, 9640, 3660, 18871, 23032, 3555, 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3298.32, "end": 3299.44, "word": " disquamation", "probability": 0.7185872395833334}, {"start": 3299.44, "end": 3301.52, "word": " عملية", "probability": 0.9599609375}, {"start": 3301.52, "end": 3302.28, "word": " تجديد", "probability": 0.929443359375}, {"start": 3302.28, "end": 3302.82, "word": " الخلايا", "probability": 0.9640299479166666}, {"start": 3302.82, "end": 3303.02, "word": " أو", "probability": 0.74462890625}, {"start": 3303.02, "end": 3303.5, "word": " عملية", "probability": 0.9567057291666666}, {"start": 3303.5, "end": 3305.08, "word": " يعني", "probability": 0.6568603515625}, {"start": 3305.08, "end": 3306.1, "word": " التخلص", "probability": 0.9873046875}, {"start": 3306.1, "end": 3306.32, "word": " من", "probability": 0.98779296875}, {"start": 3306.32, "end": 3307.08, "word": " الخلايا", "probability": 0.9835611979166666}, {"start": 3307.08, "end": 3308.28, "word": " الميتة", "probability": 0.9558919270833334}, {"start": 3308.28, "end": 3309.1, "word": " الخاصة", "probability": 0.962890625}, {"start": 3309.1, "end": 3309.62, "word": " بالsystem", "probability": 0.6036376953125}, {"start": 3309.62, "end": 3310.68, "word": " وعشان", "probability": 0.8765869140625}, {"start": 3310.68, "end": 3311.1, "word": " تتم", "probability": 0.7265625}, {"start": 3311.1, "end": 3311.8, "word": " عملية", "probability": 0.9773763020833334}, {"start": 3311.8, "end": 3314.02, "word": " التجديد", "probability": 0.9461669921875}, {"start": 3314.02, "end": 3314.84, "word": " للخلايا", "probability": 0.8798828125}], "temperature": 1.0}, {"id": 130, "seek": 334388, "start": 3315.56, "end": 3343.88, "text": "الـSebums created by the sebaceous gland help to keep this layer soft and supple المادة السيبام أو الدهنية اللي بتفرز من الـsebaceous gland هي اللي بتحافظ على أن هذه الطبقة تبقى soft وsupple مرنة وخلّينا نقول لاكس", "tokens": [6027, 39184, 10637, 5559, 82, 2942, 538, 264, 48049, 617, 563, 43284, 854, 281, 1066, 341, 4583, 2787, 293, 1003, 306, 9673, 18513, 3660, 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"probability": 0.9757486979166666}, {"start": 3337.38, "end": 3338.14, "word": " تبقى", "probability": 0.8179931640625}, {"start": 3338.14, "end": 3338.66, "word": " soft", "probability": 0.76025390625}, {"start": 3338.66, "end": 3339.88, "word": " وsupple", "probability": 0.8863932291666666}, {"start": 3339.88, "end": 3340.66, "word": " مرنة", "probability": 0.7169189453125}, {"start": 3340.66, "end": 3342.52, "word": " وخلّينا", "probability": 0.60919189453125}, {"start": 3342.52, "end": 3342.86, "word": " نقول", "probability": 0.993408203125}, {"start": 3342.86, "end": 3343.88, "word": " لاكس", "probability": 0.516845703125}], "temperature": 1.0}, {"id": 131, "seek": 337017, "start": 3346.07, "end": 3370.17, "text": "وناعمة Rubbing or friction of the skin will increase the rate of a disquamation عملية الـ Massage وعملية الـ Rubbing الفرق اللي إحنا بنعملها أو الـ Delt هي بتسرق عملية الـ Disquamation اللي عملية تجديد الخلايا و التخلص من الخلايا الميتة في ال skin", "tokens": [2407, 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الـ ultraviolet radiation اللي بتكون موجودة و بتحمي الجسم منها الـ minor injuries الجلب يتحملها طبعا سواء كان جروح أو غيره", "tokens": [6027, 7435, 46152, 6055, 25957, 1211, 1975, 2304, 2655, 9381, 33546, 5296, 28820, 2423, 39184, 14808, 23566, 302, 12420, 13672, 1829, 39894, 30544, 3714, 29245, 23328, 3660, 4032, 39894, 35571, 1829, 25724, 38251, 9154, 11296, 2423, 39184, 6696, 14799, 25724, 46152, 7251, 2655, 35571, 1211, 11296, 23032, 3555, 3615, 995, 8608, 2407, 16606, 25961, 10874, 32887, 5016, 34051, 32771, 13546, 3224], "avg_logprob": -0.2663810570393839, "compression_ratio": 1.3832335329341316, "no_speech_prob": 4.947185516357422e-06, "words": [{"start": 4431.3, "end": 4432.54, "word": "الجلب", "probability": 0.3362223307291667}, {"start": 4432.54, "end": 4433.02, "word": " تعمل", "probability": 0.72705078125}, {"start": 4433.02, "end": 4433.68, "word": " امتصاص", "probability": 0.82109375}, {"start": 4433.68, "end": 4434.3, "word": " لكل", "probability": 0.89208984375}, 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التعرق ممكن يتخلص من اليوريا و other waste products زي السويت ممكن يتخلص منها عن طريق الجلب", "tokens": [6027, 39184, 11166, 3916, 9122, 2304, 7649, 3714, 43020, 6055, 30544, 6225, 42213, 10632, 2423, 39184, 17662, 2405, 6225, 42213, 10632, 16712, 9778, 1211, 9381, 9154, 45030, 11242, 9673, 14407, 3215, 13672, 1829, 37893, 4724, 5016, 26108, 3660, 11933, 1211, 11296, 25724, 38251, 18871, 23032, 16572, 4587, 2423, 39184, 17662, 2405, 9154, 16490, 1211, 6027, 16712, 3615, 2288, 4587, 3714, 43020, 7251, 2655, 9778, 1211, 9381, 9154, 45595, 13063, 25528, 4032, 661, 5964, 3383, 30767, 1829, 21136, 2407, 36081, 3714, 43020, 7251, 2655, 9778, 1211, 9381, 9154, 11296, 18871, 23032, 16572, 4587, 25724, 46152], "avg_logprob": -0.17598683771334198, "compression_ratio": 1.8232323232323233, "no_speech_prob": 2.205371856689453e-06, "words": [{"start": 4452.26, "end": 4452.4, "word": "الـ", "probability": 0.17950439453125}, {"start": 4452.4, "end": 4453.14, "word": " Functions", "probability": 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwYm86P6OkVZGZ_arkOiz0x7/MvdjnOUj6as_raw.srt b/PL9fwy3NUQKwYm86P6OkVZGZ_arkOiz0x7/MvdjnOUj6as_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..976667a67b953aa973f00a71da674d0fbe2d45b3
--- /dev/null
+++ b/PL9fwy3NUQKwYm86P6OkVZGZ_arkOiz0x7/MvdjnOUj6as_raw.srt
@@ -0,0 +1,1616 @@
+1
+00:00:00,000 --> 00:00:03,780
+السلام عليكم ورحمة الله وبركاته ان شاء الله رب
+
+2
+00:00:03,780 --> 00:00:07,380
+العالمين اليوم هنتكلم في professional conduct
+
+3
+00:00:07,380 --> 00:00:15,180
+ethics and preparation of the patient لما
+
+4
+00:00:15,180 --> 00:00:20,140
+بنحكي عن ال professional ethics طبيعي جدا لكل مهنة
+
+5
+00:00:20,140 --> 00:00:25,920
+فيه أخلاقيات وفيه ضوابط تضبط سلوك العاملين في هذه
+
+6
+00:00:25,920 --> 00:00:32,110
+المهنةوفي نفس الوقت بتحميهم بتحمي المتعاملين معاهم
+
+7
+00:00:32,110 --> 00:00:38,410
+أثناء ممارسة هذه المهنة بداية ال ethics هي عبارة
+
+8
+00:00:38,410 --> 00:00:46,530
+عن مجموعة من ال standards اللي بتطبط سلوك مجموعة
+
+9
+00:00:46,530 --> 00:00:55,030
+من الأشخاص أو سلوك فرد أو مجموعة مهنيةإذن ethics
+
+10
+00:00:55,030 --> 00:00:59,010
+refer to the standards and conductive behavior of
+
+11
+00:00:59,010 --> 00:01:04,150
+an individual or professional group ومن ضمن هذه
+
+12
+00:01:04,150 --> 00:01:09,490
+المهن اللي احنا لازم يكون فيها إلها أخلاقيات و
+
+13
+00:01:09,490 --> 00:01:16,650
+لازم يكون فيها إلها standards متفق عليهاأخصائي
+
+14
+00:01:16,650 --> 00:01:19,910
+المساج و أخصائي العلاج اليدى و أخصائي العلاج
+
+15
+00:01:19,910 --> 00:01:24,010
+الطبيعي طبعا الآن هنحكي عن ال massage therapist
+
+16
+00:01:24,010 --> 00:01:32,230
+أخصائي المساج بشكل أساسي عشان أقدر أنا أمارس مهنة
+
+17
+00:01:32,230 --> 00:01:38,750
+المساج لازم يكونعندي مجموعة من الصفات من ضمن هذه
+
+18
+00:01:38,750 --> 00:01:43,450
+المواصفات أو الصفات اللي لازم يتحل فيها أخصاء
+
+19
+00:01:43,450 --> 00:01:48,450
+العلاج اليدوي و أخصاء المساج انه لازم يكون حسن
+
+20
+00:01:48,450 --> 00:01:54,710
+السمعة reputable المقصود بيها لازم الشخص اللي بدي
+
+21
+00:01:54,710 --> 00:02:00,340
+مارس مهنة المساج تكون سمعته طيبة بين الناسto
+
+22
+00:02:00,340 --> 00:02:03,700
+enable them to acquire the understanding and the
+
+23
+00:02:03,700 --> 00:02:08,360
+skills necessary to carry out safe and effective
+
+24
+00:02:08,360 --> 00:02:12,200
+treatment عشان في النهاية الشخص اللي بدي ييجي
+
+25
+00:02:12,200 --> 00:02:17,680
+يتعالج عند هذا الشخص لازم يكون مطمن لازم يكون انه
+
+26
+00:02:17,680 --> 00:02:23,580
+بيشعر بالامانعشان يقدر يجيب نتيجة لعملية العلاج
+
+27
+00:02:23,580 --> 00:02:27,680
+اذا massage therapist must undergo a course of
+
+28
+00:02:27,680 --> 00:02:31,280
+reputable training to enable them to acquire
+
+29
+00:02:31,280 --> 00:02:36,680
+understanding and skills necessary to carry safe
+
+30
+00:02:36,680 --> 00:02:42,960
+and effective treatment اذا مرة اخرى نقول ان ال
+
+31
+00:02:42,960 --> 00:02:47,940
+massage therapist لازم يكون حسن السمعة و لازم يكون
+
+32
+00:02:47,940 --> 00:02:53,580
+عنده المهارةوفى نفس الوجد هذه المهارات اللى
+
+33
+00:02:53,580 --> 00:02:57,580
+اتلقاها و اللى موجودة عنده بالاضافة للسمع الحسنى
+
+34
+00:02:57,580 --> 00:03:03,620
+هتمكنوا من انه يعمل علاج طبيعى و مرضىيشعروا
+
+35
+00:03:03,620 --> 00:03:07,840
+بالأمان و يكون في عندهم أو يكون في النهاية فيه
+
+36
+00:03:07,840 --> 00:03:12,460
+نتيجة مشدية للعلاج in addition they must consider
+
+37
+00:03:12,460 --> 00:03:16,120
+their standards of behavior in relation to
+
+38
+00:03:16,120 --> 00:03:20,980
+colleagues, clients and the general public إذا هذه
+
+39
+00:03:20,980 --> 00:03:29,040
+ال standards الخاصة بالسلوك و بالسلوك المهني له
+
+40
+00:03:29,040 --> 00:03:39,210
+علاقةسلوك أخصائي مع زملاءه، مع المرضى، و مع عموم
+
+41
+00:03:39,210 --> 00:03:46,470
+الناس. A high standard of professional conduct
+
+42
+00:03:46,470 --> 00:03:50,750
+will gain the confidence of clients and establish
+
+43
+00:03:50,750 --> 00:03:54,490
+an excellent reputation, which is the basis for
+
+44
+00:03:54,490 --> 00:04:01,880
+success.إذا كان الشخص هذا في عنده مستوى عالي من
+
+45
+00:04:01,880 --> 00:04:06,840
+standards of professional ethics هذا طبعا هيعطي
+
+46
+00:04:06,840 --> 00:04:11,720
+نوع من ال confidence الثقة يزود الثقة ما بينه و
+
+47
+00:04:11,720 --> 00:04:17,820
+بين المرضى اللي عنده وبالتالي هينتج عنها ان هذا
+
+48
+00:04:17,820 --> 00:04:23,820
+الإنسان سمعته الحسنة هتزيد وبالتالي هيكون في عنده
+
+49
+00:04:24,780 --> 00:04:29,720
+أساس للنجاح و هيزيد نجاحه فرص نجاحه لأن السمعة
+
+50
+00:04:29,720 --> 00:04:35,140
+الحسنة هي أساس عملية النجاح إذا لما بنحكي عن
+
+51
+00:04:35,140 --> 00:04:39,300
+ethics بنحكي عن standards و ال standards هذه بتضبط
+
+52
+00:04:39,300 --> 00:04:43,100
+العلاقات ما بين أخصاء العلاج الطبيعي و ما بين
+
+53
+00:04:43,100 --> 00:04:48,500
+ممارس للمساج و ما بين المرضى و ما بين زملاء و ما
+
+54
+00:04:48,500 --> 00:04:53,550
+بين المجتمع و كل ما كانتأو كل ما كان هذا الشخص
+
+55
+00:04:53,550 --> 00:05:00,530
+بيتمتع بمستوى عالي من المهارات عملية بيتطلب منه ان
+
+56
+00:05:00,530 --> 00:05:04,310
+يكون في عنده high standards of professional ethics
+
+57
+00:05:04,310 --> 00:05:10,010
+لازم يكون في عنده مستوى عالي من الأخلاقيات وهذه
+
+58
+00:05:10,010 --> 00:05:14,520
+الأخلاقيات هي اللي هتخلي الناستثق فيه وتزيد من
+
+59
+00:05:14,520 --> 00:05:20,080
+صمته الطيبة بين الناس abide by the following code
+
+60
+00:05:20,080 --> 00:05:25,480
+of practices الآن عملية الالتزام بالضوابط
+
+61
+00:05:25,480 --> 00:05:31,260
+وبالقوانين أو بالأخلاقياتاللي احنا هنحكي فيها الآن
+
+62
+00:05:31,260 --> 00:05:36,400
+هذه طبعا هتزود من درجة ال confidence اذا امثلة
+
+63
+00:05:36,400 --> 00:05:42,260
+لهذه ال professional ethics اول حاجة المظهر العام
+
+64
+00:05:42,260 --> 00:05:46,860
+لما بنقول المظهر العام لازمالاخصائي والاخصائي
+
+65
+00:05:46,860 --> 00:05:50,960
+العلاجي الطبيعي والاخصائي العلاجي اليدوي والمساجست
+
+66
+00:05:50,960 --> 00:05:54,720
+الهيئة العامة لازم يكون مبين عليا انه انسان
+
+67
+00:05:54,720 --> 00:06:00,640
+professional مهني بي clean, neat and tidy بدي يكون
+
+68
+00:06:00,640 --> 00:06:06,340
+طبعا مرتب الهندام ومنظيف الهندام والملبس بي
+
+69
+00:06:06,340 --> 00:06:12,730
+punctual keep appointmentsdon't cancel at the last
+
+70
+00:06:12,730 --> 00:06:17,070
+minute كمان أخصاء العلاج الطبيعي و أخصاء المساج
+
+71
+00:06:17,070 --> 00:06:22,370
+بده يلتزم بالمواعيد، بده يكون عنده التزام
+
+72
+00:06:22,370 --> 00:06:28,990
+بالمواعيد اللي أعطاها للمرضى، بده يحفظ هذه
+
+73
+00:06:28,990 --> 00:06:34,500
+المواعيدو يلقد يوفيها على أكمل وجه و في نفس الوجه
+
+74
+00:06:34,500 --> 00:06:38,840
+إذا بده يعتذر مايكونش الاعتذار في الدقيقة الأخيرة
+
+75
+00:06:38,840 --> 00:06:44,380
+لأ بده يكون في وقت كافي من الاعتذار أو عشان يقدم
+
+76
+00:06:44,380 --> 00:06:49,980
+الاعتذار be discreet and refrain from gossip كمان
+
+77
+00:06:49,980 --> 00:06:55,820
+أخصائي العلاج الجدوي بده يكون زي ما بقوله ملقزم
+
+78
+00:06:55,820 --> 00:07:02,770
+بكلامه مايكونش ثرثاربدي يبعد كل البعد عن الثرثرة
+
+79
+00:07:02,770 --> 00:07:07,290
+والكلام الفاضي اللي مايلوش لزوم يعني خلنا نقول انه
+
+80
+00:07:07,290 --> 00:07:12,990
+بدي يكون متحفظ، مايحكيش كتير، و بخصوقه أكتر شيء ما
+
+81
+00:07:12,990 --> 00:07:19,110
+يخص المرضى، لأ ما يحكي أسرار و مايطلع الناس على
+
+82
+00:07:19,110 --> 00:07:23,460
+أسرار المرضى اللي بيجوا عندهbe loyal to your
+
+83
+00:07:23,460 --> 00:07:27,900
+employer and colleagues create a friendly working
+
+84
+00:07:27,900 --> 00:07:33,420
+relationship with all كمان بيكون بمثابة محامي
+
+85
+00:07:33,420 --> 00:07:37,480
+للناس اللي بتشتغل معاها من زملاء و من موظفين هو
+
+86
+00:07:37,480 --> 00:07:42,480
+بيكون مسئول عنهم كمان بيحافظ على علاقة friendly
+
+87
+00:07:42,480 --> 00:07:46,900
+working relationship و لما بنحكي على friendly
+
+88
+00:07:46,900 --> 00:07:54,130
+workingrelationship مش معناه انه هذه العلاقة تأثر
+
+89
+00:07:54,130 --> 00:07:58,990
+على جودة العمل لأ طبيعة معاملته مع الناس و مع
+
+90
+00:07:58,990 --> 00:08:03,010
+زملاء و بدها تكون friendly مايكونش tough مايكونش
+
+91
+00:08:03,010 --> 00:08:08,110
+قاس الطباع و حاد الطباع في عملية أو في التعامل مع
+
+92
+00:08:08,110 --> 00:08:14,140
+الآخرين be honest and reliableبتكون أمين، بتكون
+
+93
+00:08:14,140 --> 00:08:21,060
+صادق، بتكون محل ثقة سواء كان من زملائه ومن المرضى
+
+94
+00:08:21,060 --> 00:08:26,400
+الآخرين speak correctly and politely to everyone
+
+95
+00:08:26,400 --> 00:08:32,340
+الكلام، بيتكلم بأدب، بيتلتزم الأداء، خلّيني أقول
+
+96
+00:08:32,340 --> 00:08:39,550
+حدود الأدب في عملية الكلاموبدو دايما يحكي الصدق
+
+97
+00:08:39,550 --> 00:08:45,270
+مايكونش بيكذب أو مايكونش يبالغ في عملية إعطاء
+
+98
+00:08:45,270 --> 00:08:51,150
+الوعود أو أي شيء بتعلق بالمرض be polite and
+
+99
+00:08:51,150 --> 00:08:57,010
+curious at all times لازم يكون الشخص مهذب في كل
+
+100
+00:08:57,010 --> 00:09:01,790
+الأوقات سواء كان في العمل أو في غير العمل know and
+
+101
+00:09:01,790 --> 00:09:07,470
+abide by legal requirements and local authorityby
+
+102
+00:09:07,470 --> 00:09:12,010
+laws rules and regulation for conducting your
+
+103
+00:09:12,010 --> 00:09:17,850
+business لازم يكون عارف القوانين مش بيكفي فقط
+
+104
+00:09:17,850 --> 00:09:22,430
+المعرفة بالقوانين اللي بتحكم عمله لأ كمان بده
+
+105
+00:09:22,430 --> 00:09:27,890
+يلتزم بهذه القوانين إذا المعرفة والالتزام
+
+106
+00:09:27,890 --> 00:09:33,570
+بالقوانين اللي بتحكموبطبّط المهن اللي بيشتغل فيها
+
+107
+00:09:33,570 --> 00:09:37,690
+keep up to date with the new theories techniques
+
+108
+00:09:37,690 --> 00:09:44,180
+and treatment وهذه تعتبر مسئوليةو أمانة شخصية عند
+
+109
+00:09:44,180 --> 00:09:48,600
+كل شخص بيشتغل في مجال الطبي و في مجال علاج الطبي
+
+110
+00:09:48,600 --> 00:09:54,240
+أنه لازم يجب على القلع بكل ما هو جديد بحيث أنه لما
+
+111
+00:09:54,240 --> 00:10:00,320
+يقدم خدمة يقدم خدمة بأحدث ما توصل إلى العلم في هذا
+
+112
+00:10:00,320 --> 00:10:04,320
+أو في ذلك الوقت اللي بيشتغل فيه always practice
+
+113
+00:10:04,320 --> 00:10:07,420
+the highest standards of personal and clinical
+
+114
+00:10:07,420 --> 00:10:13,520
+hygieneو نقطة مهمة جدا نقطة نظافة المكان اللي أنا
+
+115
+00:10:13,520 --> 00:10:20,040
+بأشتغل فيه بدي أحافظ على أعلى مستويات من النظافة
+
+116
+00:10:20,040 --> 00:10:25,580
+بتكون موجودة في العيادة و ال personal hygiene كمان
+
+117
+00:10:25,580 --> 00:10:30,400
+النظافة الشخصية أنه أنا لازم أحسس الشخص اللي أنا
+
+118
+00:10:30,400 --> 00:10:36,000
+بشتغل معاه أنه أنا محافظ عليه و محافظ على نظافته
+
+119
+00:10:37,900 --> 00:10:42,760
+مثالها إنه لازم قبل ما أشتغل مع أي مريض لازم أغسل
+
+120
+00:10:42,760 --> 00:10:47,980
+إيدي بشكل كويس جدا لازم أعقمهم بشكل كويس جدا وبعد
+
+121
+00:10:47,980 --> 00:10:53,620
+ما أخلص من المريض لازم أغسلهم وأعقمهم مرة تانية do
+
+122
+00:10:53,620 --> 00:10:56,840
+your utmost to deliver the most effective
+
+123
+00:10:56,840 --> 00:11:01,720
+treatment suited to the needs of the clientsبدي
+
+124
+00:11:01,720 --> 00:11:07,920
+أبدل أقصمة في وسعي لأعمل أو لأداء خدمة أو خدمة
+
+125
+00:11:07,920 --> 00:11:13,720
+العلاج على أفضل ما يكون و بدي أحاول أن أختار
+
+126
+00:11:13,720 --> 00:11:18,500
+الوسائل العلاجية اللي تكون most effective أكثر
+
+127
+00:11:18,500 --> 00:11:23,900
+وسائل العلاجية تأثيرا عشان أنا أكسب ثقة المريض و
+
+128
+00:11:23,900 --> 00:11:31,170
+أجيب نتائججيدة في عملية العلاج Organize yourself
+
+129
+00:11:31,170 --> 00:11:34,410
+and your business to ensure a smooth running,
+
+130
+00:11:35,370 --> 00:11:39,590
+efficient service for the benefit of all concerned
+
+131
+00:11:40,770 --> 00:11:44,470
+مهم جدا ان انا ارتب شغل في مكاني المكان اللي بدأ
+
+132
+00:11:44,470 --> 00:11:48,310
+اشتغل فيه بدأ اكون انا مرتب من ناحية الأوراق من
+
+133
+00:11:48,310 --> 00:11:55,590
+ناحية تنظيم العمل وهذا طبعا بيضمن سلاسة وسهولة في
+
+134
+00:11:55,590 --> 00:12:00,570
+عملية استقبال المرضى وفي عملية تقديم الخدمات لها
+
+135
+00:12:00,570 --> 00:12:05,730
+او لالمرضى بحيث ان انا ما بنفع ان انا اذا في عندى
+
+136
+00:12:05,730 --> 00:12:11,970
+امكانيةإنه أنا أرتب و أجدب المواعيد مرضاي بحيث إنه
+
+137
+00:12:11,970 --> 00:12:19,690
+أنا كل مريض ييجيمايستناش وقت كبير قبل ما يبدأ
+
+138
+00:12:19,690 --> 00:12:24,770
+جلسته العلاجية يعني لو أنا بقى أشتغل في عيادة
+
+139
+00:12:24,770 --> 00:12:30,750
+وعندي خمس مرضى مابقدر أقول لخمس مرضى أنه تعالوا
+
+140
+00:12:30,750 --> 00:12:34,810
+الساعة واحدة وكلهم ييجوا في نفس الوقت و بعد هيك
+
+141
+00:12:34,810 --> 00:12:39,890
+أنا أخلي شخص ممكن شخص منهم يستنى أربع ساعات وخمس
+
+142
+00:12:39,890 --> 00:12:44,350
+ساعات لأ أنا بقى أحاول أني أوزع الوقت بما يناسب
+
+143
+00:12:44,870 --> 00:12:50,350
+العمل وبما يضمن ان كل شخص ماينتظر وقت كبير جدا في
+
+144
+00:12:50,350 --> 00:13:00,050
+أثناء تلقي لخدمة العلاج الطبيعي او خدمة المساج اذا
+
+145
+00:13:00,050 --> 00:13:06,610
+هذه مجموعة وامثلة من بعض الأخلاقيات وبعض القوانين
+
+146
+00:13:06,610 --> 00:13:12,780
+والدوابط اللي ممكناللي ابتزم فيها او اللي ابتزم
+
+147
+00:13:12,780 --> 00:13:16,880
+فيها اخصائي العلاج الطبيعي او اخصائي المساجر الان
+
+148
+00:13:16,880 --> 00:13:20,600
+نجي لنقطة تانية مهمة جدا عملية ال consultation
+
+149
+00:13:20,600 --> 00:13:27,300
+عملية الاستشارة client consultation و لما بنحكي
+
+150
+00:13:27,300 --> 00:13:31,920
+على عملية ال consultation هي ناتجة عن اللقاء و
+
+151
+00:13:31,920 --> 00:13:36,180
+ممكن تكون consultationفي أول لقاء في هذه الحالة
+
+152
+00:13:36,180 --> 00:13:40,640
+بيسموها initial consultation لما بنحكي عن ال
+
+153
+00:13:40,640 --> 00:13:45,700
+consultation بنكون عارفين أنه هي جزء مهم من عملية
+
+154
+00:13:45,700 --> 00:13:49,500
+ال treatment it's a very important part of the
+
+155
+00:13:49,500 --> 00:13:53,420
+treatment sufficient time must be allowed so that
+
+156
+00:13:53,420 --> 00:13:57,640
+it is not rushedوهذه النقطة اللى احنا بدنا ندير
+
+157
+00:13:57,640 --> 00:14:03,400
+بالنا منها ان الكلام مع المرضى وعملية الاستشارة و
+
+158
+00:14:03,400 --> 00:14:07,340
+الشرح للمريض هو جزء من عملية العلاج وبالتالي لازم
+
+159
+00:14:07,340 --> 00:14:11,120
+يكون فيه وقت كافي لعملية الشرح وعملية ال
+
+160
+00:14:11,120 --> 00:14:15,240
+consultation the initial consultation will be the
+
+161
+00:14:15,240 --> 00:14:21,460
+longest and provide detailed information اللقاء
+
+162
+00:14:21,460 --> 00:14:23,340
+الأول ال consultation
+
+163
+00:14:26,460 --> 00:14:31,640
+خلال اللقاء الأول بتكون هي أطول وقت وأطول فترة أنا
+
+164
+00:14:31,640 --> 00:14:37,120
+بعمل فيها مع المريض ممكن أشرح للمريض عن طبيعة
+
+165
+00:14:37,120 --> 00:14:41,360
+المرض عن ال advice اللي ممكن احنا نعملها شغلات
+
+166
+00:14:41,360 --> 00:14:47,820
+كتير ممكن انها تكون موجودة this must be filled in
+
+167
+00:14:47,820 --> 00:14:52,520
+a safe and accessible place and used each time the
+
+168
+00:14:52,520 --> 00:14:54,360
+client attends for treatment
+
+169
+00:14:57,060 --> 00:15:00,480
+وهذا طبعا عشان نعمل ال consultation الأول لازم
+
+170
+00:15:00,480 --> 00:15:05,780
+يكون في مكان مناسب لازم يكون انه مافيش مقاطعة من
+
+171
+00:15:05,780 --> 00:15:09,460
+المرضى يعني مابنفع انه انا اعمل consultation في
+
+172
+00:15:09,460 --> 00:15:15,000
+قسم استقبال و كل حين واحد طالع و واحد نازل لأ لازم
+
+173
+00:15:15,000 --> 00:15:18,980
+يكون في مكان مهيئ مكان مناسب اقدر اعمل ال
+
+174
+00:15:18,980 --> 00:15:24,180
+consultation فيهاقبل التعامل المتسابق قبل التعامل
+
+175
+00:15:24,180 --> 00:15:26,200
+المتسابق قبل التعامل المتسابق قبل التعامل المتسابق
+
+176
+00:15:26,200 --> 00:15:26,220
+قبل التعامل المتسابق قبل التعامل المتسابق قبل
+
+177
+00:15:26,220 --> 00:15:26,540
+التعامل المتسابق قبل التعامل المتسابق قبل التعامل
+
+178
+00:15:26,540 --> 00:15:30,000
+المتسابق قبل التعامل المتسابق قبل التعامل المتسابق
+
+179
+00:15:30,000 --> 00:15:32,760
+قبل التعامل المتسابق قبل التعامل المتسابق قبل
+
+180
+00:15:32,760 --> 00:15:36,960
+التعامل المتسابق قبل التعامل المتسابق قبل التعامل
+
+181
+00:15:36,960 --> 00:15:41,520
+المتسابق قبل التعامل المتسابق قبل التعامل المتسابق
+
+182
+00:15:41,520 --> 00:15:47,640
+قبل التعامل المتسابق قبل التعامل المتسابق قبل التع
+
+183
+00:15:48,370 --> 00:15:53,730
+إذا في عملية ال consultation و قبل ما نبدأ أي
+
+184
+00:15:53,730 --> 00:15:59,050
+عملية علاج لازم يكون في عندي أنا تم ال
+
+185
+00:15:59,050 --> 00:16:06,810
+consultation و هذه ال consultation طبعا بتكون فيها
+
+186
+00:16:06,810 --> 00:16:12,590
+على الأقل موضحنا شو ال effects شو ال outcome of
+
+187
+00:16:12,590 --> 00:16:17,790
+the treatment اللي بده يتلقى هذا المريضفي أثناء
+
+188
+00:16:17,790 --> 00:16:21,450
+عملية الـ consultation لازم يكون المريض مرتاحو
+
+189
+00:16:21,450 --> 00:16:25,670
+لازم يكون يا إما ال therapist قاعد جنبه alongside
+
+190
+00:16:25,670 --> 00:16:30,750
+أو opposite to the client the environment should
+
+191
+00:16:30,750 --> 00:16:35,670
+feel warm and private كمان المكان زى ما حكينا اللى
+
+192
+00:16:35,670 --> 00:16:39,610
+إحنا بنعمل فيه ال consultation لازم يوفر نوع من
+
+193
+00:16:39,610 --> 00:16:45,350
+الخصوصية و يكون التقس تبعه أو المكان مايكونش بارد
+
+194
+00:16:45,350 --> 00:16:49,690
+مايكونش شوب كتير لازم يكون مناسب و يعطي نوع من
+
+195
+00:16:49,690 --> 00:16:55,330
+الطمأنينة و الراحةالتفاصيل التفاصيلية مهمة لأسباب
+
+196
+00:16:55,330 --> 00:17:05,010
+التباركة ان تقبل نفسك و تتعرف على مستخدمك ان
+
+197
+00:17:05,010 --> 00:17:14,670
+تقوم بالتعامل مع المستخدم و تجعله مرتاح و تطور
+
+198
+00:17:14,670 --> 00:17:21,000
+ثقافتك المعاقبة و تحصى ثقافة المستخدمto gain
+
+199
+00:17:21,000 --> 00:17:24,800
+information on the client's past and present state
+
+200
+00:17:24,800 --> 00:17:28,560
+of mental and physical health إذا في عملية اللقاء
+
+201
+00:17:28,560 --> 00:17:31,660
+الأول وعملية ال initial consultation لازم أنا أكون
+
+202
+00:17:31,660 --> 00:17:38,280
+قدمت نفسي للمريض بشكل كويس جدا لازم أنه أنا أتكوّن
+
+203
+00:17:38,280 --> 00:17:43,750
+نوع من العلاقة rapport with the clientو هذا طبعا
+
+204
+00:17:43,750 --> 00:17:49,690
+العلاقة بتخفف من ال tension اللي بيكون موجود فيه
+
+205
+00:17:49,690 --> 00:17:58,050
+المريض و بتسهل عليه و بتساعده في انه يحكي بحرية و
+
+206
+00:17:58,050 --> 00:18:05,480
+يتقبل بحرية و يتقبل القراء و يتقبل الشرح بحريةto
+
+207
+00:18:05,480 --> 00:18:09,660
+identify any contraindications كمان في خلال هذا
+
+208
+00:18:09,660 --> 00:18:13,820
+اللقاء بدنا نوضح إذا كان في احتمال لأي
+
+209
+00:18:13,820 --> 00:18:20,020
+contraindications أي تأثيرات أو أي موانع لاستخدام
+
+210
+00:18:20,020 --> 00:18:25,210
+العلاج اليدوي أو المساجto gain insight into the
+
+211
+00:18:25,210 --> 00:18:28,390
+client lifestyle, responsibilities, work
+
+212
+00:18:28,390 --> 00:18:32,290
+environment, leisure activities etc. بدي أتعرف على
+
+213
+00:18:32,290 --> 00:18:36,250
+المريض اللي جاييني، إيش طبيعة شغله، كيف نظام
+
+214
+00:18:36,250 --> 00:18:41,830
+حياته، وهل هذا النظام بيأثر، يعني في النهاية، هعرف
+
+215
+00:18:41,830 --> 00:18:45,310
+إن هذا النظام هل هيأثر على الحالة الصحية اللي جاي
+
+216
+00:18:45,310 --> 00:18:51,350
+يتعالج علشان المريض ولا لألأن بمعرفتي لأ ال life
+
+217
+00:18:51,350 --> 00:18:55,570
+style و ال responsibilities و ال .. كل هذه الأمور
+
+218
+00:18:55,570 --> 00:19:00,210
+هذه بتساعدني في ان انا احط خطة علاجية مناسبة
+
+219
+00:19:00,210 --> 00:19:03,910
+للمريض to identify the clients need and
+
+220
+00:19:03,910 --> 00:19:09,050
+expectation of the treatment بعرف كمان و بأحدد شو
+
+221
+00:19:09,050 --> 00:19:15,760
+توقعات المريض و شو احتياجات المريض من خلال عمليةلـ
+
+222
+00:19:15,760 --> 00:19:20,940
+treatment اللي أنا بدي أقدمها، شو المتوقع من عملية
+
+223
+00:19:20,940 --> 00:19:25,320
+العلاج اللي أنا بدي أقدمله إياهم؟ to establish the
+
+224
+00:19:25,320 --> 00:19:29,920
+most appropriate form of treatment and to discuss
+
+225
+00:19:29,920 --> 00:19:37,300
+and agree this with the clientكمان بدي اعرف most
+
+226
+00:19:37,300 --> 00:19:42,460
+appropriate form of treatment شو افضل طريقة علاجية
+
+227
+00:19:42,460 --> 00:19:47,880
+ممكن انها تكون موجودة and to discuss and agree
+
+228
+00:19:47,880 --> 00:19:52,620
+this with the client و بدي اتوافق مع المريض، اناقش
+
+229
+00:19:52,620 --> 00:19:57,080
+المريض و اتوافق معاه على الخطة العلاجية اللي
+
+230
+00:19:57,080 --> 00:20:02,830
+بتناسبهto explain the treatment fully to the
+
+231
+00:20:02,830 --> 00:20:07,290
+client بدي أشرح الخطة العلاجية اللي أنا بدي
+
+232
+00:20:07,290 --> 00:20:11,550
+أستخدمها مع المريض بالتفصيل to agree treatment
+
+233
+00:20:11,550 --> 00:20:16,210
+plan with timing and cost بدي أتوافق أنا و المريض
+
+234
+00:20:16,210 --> 00:20:21,370
+على الخطة العلاجية اللي حطيتها و في نفس وقت اللي
+
+235
+00:20:21,370 --> 00:20:26,410
+أنا بدي أعالج فيه المريض بالإضافة إلى التكلفة
+
+236
+00:20:26,410 --> 00:20:34,660
+لعملية العلاجتجاوز المشاكل والأسئلة المرتبطة
+
+237
+00:20:34,660 --> 00:20:39,860
+بالتعامل والتعامل مع المخاطر والخوف
+
+238
+00:20:41,460 --> 00:20:45,620
+كمان بدي أحاول قدر الإمكان إيش في عند المريض
+
+239
+00:20:45,620 --> 00:20:49,940
+استفسارات، إيش في عنده شغلات بدي يستفسر عنها،
+
+240
+00:20:49,940 --> 00:20:55,440
+يستفهم عنها، مما يتعلق بالعملية العلاجية أو عملية
+
+241
+00:20:55,440 --> 00:21:00,140
+العلاج بدي أحاول أني أنا أزيل كل الشكوك والمخاوف
+
+242
+00:21:00,140 --> 00:21:05,020
+اللي موجودة عند المريض في خلال هذا اللقاء أو من
+
+243
+00:21:05,020 --> 00:21:09,330
+خلال هذا ال consultationالمعلومات التي تم تجميلها
+
+244
+00:21:09,330 --> 00:21:15,050
+ستقدم بسيطة من خلالها استخدام التعامل المناسب
+
+245
+00:21:15,050 --> 00:21:19,290
+للتعامل المناسب للتعامل المناسب للتعامل المناسب
+
+246
+00:21:19,290 --> 00:21:19,550
+للتعامل المناسب للتعامل المناسب للتعامل المناسب
+
+247
+00:21:19,550 --> 00:21:23,010
+للتعامل المناسب للتعامل مناسب للتعامل مناسب
+
+248
+00:21:23,010 --> 00:21:24,410
+للتعامل مناسب للتعامل مناسب للتعامل مناسب للتعامل
+
+249
+00:21:24,410 --> 00:21:25,590
+مناسب للتعامل مناسب للتعامل مناسب للتعامل مناسب
+
+250
+00:21:25,590 --> 00:21:28,130
+للتعامل مناسب للتعامل مناسب للتعامل مناسب للتعامل
+
+251
+00:21:28,130 --> 00:21:34,670
+مناسب للتعامل مناسب للتعامل مناسب للتعامل مناسب
+
+252
+00:21:34,670 --> 00:21:40,420
+للتعامجمعناها من خلال الـ Assessments من خلال الـ
+
+253
+00:21:40,420 --> 00:21:47,940
+Consultation الأولى كلها تتعتبر Baseline خط أساسي
+
+254
+00:21:47,940 --> 00:21:55,640
+بحيث أنه نقدر نبني عليه و نتابع أو دعنا نقول نتابع
+
+255
+00:21:55,640 --> 00:22:01,860
+عمليتنا العلاجية و نشوف effectiveness of the
+
+256
+00:22:01,860 --> 00:22:07,060
+treatmentبناءً على المعلومات اللي أخدناها من خلال
+
+257
+00:22:07,060 --> 00:22:11,520
+الـInitial Consultation ومن خلال الـAssessment كل
+
+258
+00:22:11,520 --> 00:22:16,560
+المعلومات اللي احنا بناخدها من المريض خلال عملية
+
+259
+00:22:16,560 --> 00:22:20,760
+الـInitial Consultation وخلال عملية الـAssessment
+
+260
+00:22:20,760 --> 00:22:25,540
+لازم نعملها recording بدنا نسجل كل المعلومات
+
+261
+00:22:25,540 --> 00:22:32,860
+والبيانات هذه بشكل موثق وبشكل دائمessential
+
+262
+00:22:32,860 --> 00:22:40,180
+information personal details طبعا مهم جدا ال
+
+263
+00:22:40,180 --> 00:22:44,020
+information اللي أنا بدي أخدها و بدي أسجلها تحتوي
+
+264
+00:22:44,020 --> 00:22:48,820
+على ال personal data تحتوي على ال past medical
+
+265
+00:22:48,820 --> 00:22:54,340
+history تاريخ الحالة المرضية السابقةPresent
+
+266
+00:22:54,340 --> 00:23:00,040
+medical history الحال المرضية الآن شو السبب و كيف
+
+267
+00:23:00,040 --> 00:23:06,420
+صارت و ايش ممكن انها تعمل ال massage analysis
+
+268
+00:23:06,420 --> 00:23:10,580
+عمليةشو أنواع المساج اللي بدنا نعمله وشو بناسب
+
+269
+00:23:10,580 --> 00:23:15,640
+المريض من أنواع المساج ال examinations عملية
+
+270
+00:23:15,640 --> 00:23:19,220
+الفحوصات اللي احنا بدنا نعملها وإيش فيه other
+
+271
+00:23:19,220 --> 00:23:24,160
+informations حسب حالة المريض ممكن أنه احنا نسجلها
+
+272
+00:23:24,160 --> 00:23:35,560
+ال essential information تشمل skin conditionsنتعرف
+
+273
+00:23:35,560 --> 00:23:38,600
+في ال skin condition على ال skin type إذا كان
+
+274
+00:23:38,600 --> 00:23:43,740
+smooth أو supple، dry، flaky، loose، stretched، شو
+
+275
+00:23:43,740 --> 00:23:48,620
+طبيعة الجلب و كيف هو؟ هل في مشاكل في الجلب ولا لأ؟
+
+276
+00:23:48,620 --> 00:23:55,260
+stretch marks علامات شد موجودة areas of hard fat
+
+277
+00:23:55,260 --> 00:24:00,860
+سيلوليت مناطق اللي فيها الدهون أو كثافة في الدهون
+
+278
+00:24:00,860 --> 00:24:06,090
+الصلبةأو إذا كان في مناطق فيها cellulite areas of
+
+279
+00:24:06,090 --> 00:24:12,050
+soft fat المناطق اللي فيها ال soft fat general
+
+280
+00:24:12,050 --> 00:24:17,570
+muscle tone لنشوف التوتر العضلي و شد العضلي بشكل
+
+281
+00:24:17,570 --> 00:24:25,910
+عام bone projections إيش فيه بروزات عضمية موجودةفي
+
+282
+00:24:25,910 --> 00:24:30,830
+المكان اللي احنا بدنا نعمل فيه عملية المساج fluid
+
+283
+00:24:30,830 --> 00:24:37,770
+retention اذا كان في عنده مشاكل في السوائل اللي في
+
+284
+00:24:37,770 --> 00:24:41,990
+الجسم في مناطق فيها swelling في مناطق فيها ..
+
+285
+00:24:41,990 --> 00:24:46,390
+مناطق
+
+286
+00:24:46,390 --> 00:24:53,600
+فيها swellingممكن يكون عنده احتباس لسوائل في داخل
+
+287
+00:24:53,600 --> 00:24:58,240
+الجسم في مناطق معينة Disfiguration or distortion
+
+288
+00:24:58,240 --> 00:25:02,960
+of surface anatomy إذا كان الشكل العام لما بنبطلع
+
+289
+00:25:02,960 --> 00:25:07,880
+على المنطقة إذا في أي abnormalities Other factors
+
+290
+00:25:07,880 --> 00:25:12,060
+that may affect massage إذا في أي عوامل أخرى ممكن
+
+291
+00:25:12,060 --> 00:25:19,170
+إنها تأثر على عملية المساجهذه المعلومات ستساعدك
+
+292
+00:25:19,170 --> 00:25:22,290
+كطبيعي للتعامل بشكل أفضل للتعامل بشكل أفضل للتعامل
+
+293
+00:25:22,290 --> 00:25:23,550
+بشكل أفضل للتعامل بشكل أفضل للتعامل بشكل أفضل
+
+294
+00:25:23,550 --> 00:25:25,550
+للتعامل بشكل أفضل للتعامل بشكل أفضل للتعامل بشكل
+
+295
+00:25:25,550 --> 00:25:27,890
+أفضل للتعامل بشكل أفضل للتعامل بشكل أفضل للتعامل
+
+296
+00:25:27,890 --> 00:25:30,030
+بشكل أفضل للتعامل بشكل أفضل للتعامل بشكل أفضل
+
+297
+00:25:30,030 --> 00:25:32,850
+للتعامل بشكل أفضل للتعامل بشكل أفضل للتعامل بشكل
+
+298
+00:25:32,850 --> 00:25:37,710
+أفضل
+
+299
+00:25:37,710 --> 00:25:46,100
+للتعامل بشكل أفضل للتعshe must be given
+
+300
+00:25:46,100 --> 00:25:50,580
+opportunity to ask questions and given full
+
+301
+00:25:50,580 --> 00:25:55,940
+answers to allay any concerns or fears الخطة
+
+302
+00:25:55,940 --> 00:26:01,660
+العلاجية لازم انها تنشرح
+
+303
+00:26:01,660 --> 00:26:08,540
+كامل لل client للمريض واذ كان عنده اي استفسارات
+
+304
+00:26:08,540 --> 00:26:15,400
+المريض بخصوص الخطة لازم توضح له بشكلونزيل كل
+
+305
+00:26:15,400 --> 00:26:24,540
+الشكوك من نفسية المريض الـ long term objective the
+
+306
+00:26:24,540 --> 00:26:30,180
+most الـ long term objective the cost timing must
+
+307
+00:26:30,180 --> 00:26:34,780
+be agreed and consent form signed by the client
+
+308
+00:26:34,780 --> 00:26:40,070
+إذا كان في إمكانية كمان إنه أنا أخلى المريضأو يوقع
+
+309
+00:26:40,070 --> 00:26:43,050
+على المعلومات هذه وشو طبيعة الخدمة اللي بدي
+
+310
+00:26:43,050 --> 00:26:48,110
+اطلقاها وقداش تكلفة العلاج كل هذا بيكون ممتاز
+
+311
+00:26:48,110 --> 00:26:54,190
+Contraindications
+
+312
+00:26:54,190 --> 00:26:58,290
+to massage شو الشغلات اللي ممنوع انا اعمل فيها
+
+313
+00:26:58,290 --> 00:27:02,810
+massage the effects of massage may be harmful in
+
+314
+00:27:02,810 --> 00:27:07,000
+certain circumstancesهذه الظروف أو هذه الموانع
+
+315
+00:27:07,000 --> 00:27:11,380
+اللي بيكون فيها المساج مضر للمريض بدي أكون عارفها
+
+316
+00:27:11,380 --> 00:27:22,880
+و هات
+
+317
+00:27:22,880 --> 00:27:27,560
+طبعا هتوضح ليش المساج ممنوع استخدامه لو كان في
+
+318
+00:27:27,560 --> 00:27:33,380
+عندي بعض الحالات إذا كان في عنديبعض المخاطر
+
+319
+00:27:33,380 --> 00:27:39,220
+المرتبطة بالتالي إذا كان المساج يُظهر لزيادة مرور
+
+320
+00:27:39,220 --> 00:27:45,120
+الدم إذا كان زيادة مرور الدم للمنطقة هذه حيكون في
+
+321
+00:27:45,120 --> 00:27:51,980
+مشكلة وأنا بدي أعمل مساج ممنوع أعمل المساج إذا كان
+
+322
+00:27:51,980 --> 00:27:57,270
+في عندي حالات infections and cancersإذا أنا زودت
+
+323
+00:27:57,270 --> 00:28:00,630
+ال blood flow في حالات ال infection أنا عملت
+
+324
+00:28:00,630 --> 00:28:04,490
+spread لل infection إذا زودت في حالات ال cancer
+
+325
+00:28:04,490 --> 00:28:08,330
+اعملت spread لل metastases اللي هي الخلايا
+
+326
+00:28:08,330 --> 00:28:13,470
+السرطانية الصغيرة أنا سهمت في عملية نشرها في كل
+
+327
+00:28:13,470 --> 00:28:18,570
+أجزاء الجسم bruised, damaged or broken blood
+
+328
+00:28:18,570 --> 00:28:25,400
+vesselsإذا كان في عيني طبعا انا اي مشاكل في blood
+
+329
+00:28:25,400 --> 00:28:29,940
+vessels سواء
+
+330
+00:28:29,940 --> 00:28:33,700
+كان في عيني انا تهتك في الأنسجة الدموية او في
+
+331
+00:28:33,700 --> 00:28:38,420
+القواعي الدموية او
+
+332
+00:28:38,420 --> 00:28:47,950
+غيرVaricose Vein في حالات الدوالي مساج proximal to
+
+333
+00:28:47,950 --> 00:28:51,950
+the vein may prevent these problems إذا أنا عملت
+
+334
+00:28:51,950 --> 00:28:57,410
+المساج proximal to these points هيكون تأثيره أفضل
+
+335
+00:28:57,410 --> 00:29:02,130
+على سبيل المثال هيعندي المريض هاي ال upper limb
+
+336
+00:29:02,130 --> 00:29:10,550
+وهاي ال lower limb هاي ال knee jointنفترض ان
+
+337
+00:29:10,550 --> 00:29:17,490
+المريض في عنده varicose vein في المناطق هذه يعني
+
+338
+00:29:17,490 --> 00:29:23,610
+هذه المنطقة فيها varicose vein فيها دوالي عملية
+
+339
+00:29:23,610 --> 00:29:29,310
+المساج جابلها proximal to this point هذه ستسهل
+
+340
+00:29:30,660 --> 00:29:35,300
+عملية الـ Venus Return و هتخفف من أعراب الـ
+
+341
+00:29:35,300 --> 00:29:39,240
+varicose vein في هذه الحالة Contra-indications to
+
+342
+00:29:39,240 --> 00:29:43,660
+massage the greatest danger إذا كان في عندي
+
+343
+00:29:43,660 --> 00:29:47,820
+thrombophlebitis من الـ Contra-indications اللي
+
+344
+00:29:47,820 --> 00:29:51,700
+أنا ممنوع أستخدم المساج أو أستخدم لها المساج
+
+345
+00:29:51,700 --> 00:29:56,870
+thrombophlebitiswhen the vein in the calf become
+
+346
+00:29:56,870 --> 00:30:01,350
+inflamed اذا صار في عندي اي inflammation في ال
+
+347
+00:30:01,350 --> 00:30:05,870
+veins of the calf muscle هذي بيسموها أفلببيتس
+
+348
+00:30:05,870 --> 00:30:09,850
+massage may increase the inflammation في هذه
+
+349
+00:30:09,850 --> 00:30:14,790
+الحالة المساج هيزود عملية ال inflammation the
+
+350
+00:30:14,790 --> 00:30:21,760
+greatest danger if it is clot اذا صار في عنديخلط
+
+351
+00:30:21,760 --> 00:30:26,400
+في هذه المنطقة بيصير في عندي حاجة نسميها
+
+352
+00:30:26,400 --> 00:30:30,280
+thrombosis و بيصير في عندي deep vein thrombosis
+
+353
+00:30:30,280 --> 00:30:35,200
+when the circulation of the blood slow down يصار
+
+354
+00:30:35,200 --> 00:30:41,140
+في بطء في الدورة الدمويةهيصير في عندي نوع من
+
+355
+00:30:41,140 --> 00:30:46,400
+الركود في الدم وبالتالي الـplatelets الـfibrin
+
+356
+00:30:46,400 --> 00:30:51,380
+بيبدوا يلتزقوا مع الـ blood vessel wall في جدار
+
+357
+00:30:51,380 --> 00:30:57,120
+الوعاء الدموي وبيكونوا الـ blood clot أو الـ
+
+358
+00:30:57,120 --> 00:31:01,880
+thrombus ومجرد ما تتكون بيصير اسمها thrombus اذا
+
+359
+00:31:01,880 --> 00:31:06,220
+ال blood clot هذه المتكونة بيصير اسمها ايش؟
+
+360
+00:31:06,220 --> 00:31:07,140
+thrombus
+
+361
+00:31:10,190 --> 00:31:14,630
+الان هاي في الفيديو هات هنشوف كيف بيصير عملية ال
+
+362
+00:31:14,630 --> 00:31:23,410
+thrombus وكيف ممكن انه ال thrombus تعملي مشكلة و
+
+363
+00:31:23,410 --> 00:31:29,130
+تغلق الصمامات اللي موجودة في ال veins هاي ال
+
+364
+00:31:29,130 --> 00:31:36,270
+thrombus صار لها fragmentationأجت عند الـ valve
+
+365
+00:31:36,270 --> 00:31:40,770
+اللي موجود في الـ vein وصار فيها occlusion وإغلاق
+
+366
+00:31:40,770 --> 00:31:46,210
+وبالتالي حيصير في عندي ال DVin أو ال DVT وحيصير في
+
+367
+00:31:46,210 --> 00:31:51,570
+عندي ال swelling بشكل واضحthe clot or a portion of
+
+368
+00:31:51,570 --> 00:31:57,730
+it may become dislogged and float in the blood it
+
+369
+00:31:57,730 --> 00:32:01,990
+is then called embolus ايه ده صار في عندى انا ال
+
+370
+00:32:01,990 --> 00:32:06,470
+fragmented او ال fragment of blood clot ال
+
+371
+00:32:06,470 --> 00:32:11,610
+thrombus هذا زحزحت من مكانها و صارت تمشي مع الدم
+
+372
+00:32:11,610 --> 00:32:14,030
+ففي هذه الحالة بصير اسمها embolus
+
+373
+00:32:17,130 --> 00:32:21,650
+هذا سيتحرك من خلال مصادر الدم و يجعل المصادر تتحرك
+
+374
+00:32:21,650 --> 00:32:27,250
+من خلال مصادر دم صغيرة هذه الجزء ممكن يظل ماشي في
+
+375
+00:32:27,250 --> 00:32:33,510
+مصادر الدم لحد ما يصل لمنطقة صغيرة جدا من مصادر
+
+376
+00:32:33,510 --> 00:32:37,830
+الدم ثم يعملها تسكير للأعضاء او الفين وبالتالي
+
+377
+00:32:37,830 --> 00:32:45,070
+سيصبح لدي مقفل مقفل كام في هذا الفين إذا حدث هذا
+
+378
+00:32:45,070 --> 00:32:49,830
+في العقلit could be fatal إذا صار و هذه ال
+
+379
+00:32:49,830 --> 00:32:56,570
+embolism سكرت بعض ال blood supply اللي موجودة في
+
+380
+00:32:56,570 --> 00:33:01,770
+الرقتين بيصير اسمها pulmonary embolism وهذا تعتبر
+
+381
+00:33:01,770 --> 00:33:09,010
+قاتلة مميتة للمرضى اللي بيصابوا فيها ال causes of
+
+382
+00:33:09,010 --> 00:33:13,250
+phlebitis شوفي عندنا أسباب ال phlebitis
+
+383
+00:33:16,210 --> 00:33:20,370
+local trauma as injury to the vein ممكن يكون في
+
+384
+00:33:20,370 --> 00:33:25,370
+عندي directly trauma ضربة مباشرة على المكان
+
+385
+00:33:25,370 --> 00:33:31,110
+prolonged inactivity as long driving فترة طويلة من
+
+386
+00:33:31,110 --> 00:33:39,570
+قلة الحركة زي السياق على فترات طويلة ال IV وهذا
+
+387
+00:33:39,570 --> 00:33:46,270
+طبعا إذا كان بياخد بعض الحقن اللي ممكنتكون حقنة
+
+388
+00:33:46,270 --> 00:33:52,310
+مباشرة في الوريد period after surgery فترات المكوث
+
+389
+00:33:52,310 --> 00:33:55,630
+ما بعد العمليات الجراحية عشان هيك بيعطيهم
+
+390
+00:33:55,630 --> 00:34:00,210
+anticoagulants بيعطيهم مضاب تجلط من ضمن ال
+
+391
+00:34:00,210 --> 00:34:04,990
+protocol العلاج ما بعد العمليات الجراحية deep
+
+392
+00:34:04,990 --> 00:34:11,310
+prolonged immobility إذا كان في عندهم طبعا فترة
+
+393
+00:34:11,310 --> 00:34:18,190
+طويلة من قلة الحركةالـ Bedridden People في حالات
+
+394
+00:34:18,190 --> 00:34:23,310
+الـ Varicose Vein في حالات الدوالي بيصير طبعا ال
+
+395
+00:34:23,310 --> 00:34:26,290
+floating بيصير ال disruption of the drainage بيصير
+
+396
+00:34:26,290 --> 00:34:30,390
+intravenous drug use ال burn كل هذه الشغلات طبعا
+
+397
+00:34:30,390 --> 00:34:36,370
+ممكن انها تسبب ليه الفلببيتس ال diagnosis of
+
+398
+00:34:36,370 --> 00:34:40,820
+flipbitis طبعاالـ clinical examination هنلاقي انه
+
+399
+00:34:40,820 --> 00:34:44,840
+فيه swelling صار فيه بين tenderness warmth زيادة
+
+400
+00:34:44,840 --> 00:34:48,880
+في درجة الحرارة local temperature طبعا ال shiny
+
+401
+00:34:48,880 --> 00:34:52,520
+redness discoloration كل هذه أعراض احنا ممكن
+
+402
+00:34:52,520 --> 00:34:56,340
+نشوفها على المريض لكن في عملية ال diagnosis ممكن
+
+403
+00:34:56,340 --> 00:35:00,300
+نعمله ultrasound ممكن نعمله Doppler ممكن نعمله CT
+
+404
+00:35:00,300 --> 00:35:03,620
+ممكن ينعمله ال running المغناطيسي
+
diff --git a/PL9fwy3NUQKwYm86P6OkVZGZ_arkOiz0x7/Nd20xlCiKrk_postprocess.srt b/PL9fwy3NUQKwYm86P6OkVZGZ_arkOiz0x7/Nd20xlCiKrk_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..ecfe7504a99054cb27d09211cc43615a06cf0d0c
--- /dev/null
+++ b/PL9fwy3NUQKwYm86P6OkVZGZ_arkOiz0x7/Nd20xlCiKrk_postprocess.srt
@@ -0,0 +1,1352 @@
+1
+00:00:00,000 --> 00:00:04,840
+السلام عليكم كنا أخر مرة بنحكي في ال functions of
+
+2
+00:00:04,840 --> 00:00:08,820
+the skin functions of the skin عرفنا أنه في أن ال
+
+3
+00:00:08,820 --> 00:00:12,500
+execution the skin plays a minor role in the
+
+4
+00:00:12,500 --> 00:00:16,040
+execution of urea and other waste products through
+
+5
+00:00:16,040 --> 00:00:20,420
+sweating بيقوم الجسم بالتخلص من ال waste products
+
+6
+00:00:20,420 --> 00:00:26,360
+وخصوصا ال urea و ال other waste products من خلال
+
+7
+00:00:26,360 --> 00:00:32,640
+عمليات التعرقSecretion and storage تقوم السبيشيس
+
+8
+00:00:32,640 --> 00:00:38,280
+جلاند اللى موجود فى ال skin بإفراز السيبام اللى هى
+
+9
+00:00:38,280 --> 00:00:46,000
+المادة الدهنية و بتم تخزينها with sweat which form
+
+10
+00:00:46,000 --> 00:00:52,390
+a protective acid mantleو هاد طبقة الدهنية مع
+
+11
+00:00:52,390 --> 00:00:59,990
+العرق اللي موجود بتشكل طبقة حماية داخل الجسم و
+
+12
+00:00:59,990 --> 00:01:04,310
+بتعمل عملية lubrication عملية تزييت لل skin
+
+13
+00:01:04,310 --> 00:01:10,070
+keeping it soft and supple ال skin stores water
+
+14
+00:01:10,070 --> 00:01:16,010
+and fat لجي ان الجل بيحفظ الميه و يهادق الدهون
+
+15
+00:01:16,830 --> 00:01:19,770
+الوظيفة الأخيرة هي عملية الـ Formation of Vitamin
+
+16
+00:01:19,770 --> 00:01:24,710
+D وقلنا إن الجسم يمتص أشعة الشمس الفوقبنفسجية
+
+17
+00:01:24,710 --> 00:01:29,850
+ويحول Vitamin E إلى Vitamin D دعوني الآن نطلع على
+
+18
+00:01:29,850 --> 00:01:35,150
+Effects of Massage on Skin شو تأثيرات Massage على
+
+19
+00:01:35,150 --> 00:01:40,490
+Skin أولا Massage improved the condition of the
+
+20
+00:01:40,490 --> 00:01:42,630
+skin because of the increase
+
+21
+00:01:53,520 --> 00:02:00,740
+أولا عملية المساج بتحسن الدورة الدموية في منطقة
+
+22
+00:02:00,740 --> 00:02:06,110
+الجلبوبتحسن الدورة الدموية هتزيد كمية ال nutrients
+
+23
+00:02:06,110 --> 00:02:12,070
+اللى موجودة، هتزيد كمية ال oxygen، وهتسرع أو هيسرع
+
+24
+00:02:12,070 --> 00:02:18,530
+من عملية التخلص من ال waste products اللى بتكون
+
+25
+00:02:18,530 --> 00:02:24,470
+موجودة نتيجة عملية ال metabolismمتابوليزم اضافى
+
+26
+00:02:24,470 --> 00:02:32,290
+والذي يشغّل جسد الستراتم بزالى ويضافى ميتوسس جسد
+
+27
+00:02:32,290 --> 00:02:39,370
+المحطةmore cell move upward toward the surface
+
+28
+00:02:39,370 --> 00:02:43,190
+improve the condition of the skin as all cell are
+
+29
+00:02:43,190 --> 00:02:47,890
+replaced بنلاقي كمان انه عملية ال metabolism بزيد
+
+30
+00:02:47,890 --> 00:02:52,650
+زاد ال oxygen زاد ال blood supply لل area هزيد
+
+31
+00:02:52,650 --> 00:02:56,530
+عملية ال metabolism و من خلال زيادة عملية ال
+
+32
+00:02:56,530 --> 00:03:00,690
+metabolism هنلاقي انه طبقة الستراتنبزالي اللي فيها
+
+33
+00:03:00,690 --> 00:03:05,110
+الخلايا الحية هذه اخر طبقة تحتسنجد ان الخلايا بدأت
+
+34
+00:03:05,110 --> 00:03:12,350
+تتكاثر فيها بشكل كبير جدا وبالتالي عملية تكاثر
+
+35
+00:03:12,350 --> 00:03:16,590
+الخلايا هتطرد الخلايا الميتة وهتساهم في عملية
+
+36
+00:03:16,590 --> 00:03:24,200
+تجديد الخلايا الجلدية massage and desquamationوش
+
+37
+00:03:24,200 --> 00:03:29,160
+مين shedding of dead cells increase mitosis
+
+38
+00:03:29,160 --> 00:03:32,740
+increase the shedding of the flaky dead cells of
+
+39
+00:03:32,740 --> 00:03:36,820
+the stratum corneum also the friction of the hands
+
+40
+00:03:36,820 --> 00:03:41,320
+on the skin will rub off these dead cells on the
+
+41
+00:03:41,320 --> 00:03:45,560
+surface المساج بيأثر على ال skin انه بيزيد عملية
+
+42
+00:03:45,560 --> 00:03:50,860
+ال discriminationIssue of desquamation هي عملية
+
+43
+00:03:50,860 --> 00:03:54,240
+تخلص
+
+44
+00:03:54,240 --> 00:03:58,340
+من الخلايا الميتة اللي بتكون في الجلب
+
+45
+00:04:00,840 --> 00:04:06,880
+بنعرف ان عملية الانقسام الميتوسي اللى بتكون موجودة
+
+46
+00:04:06,880 --> 00:04:13,680
+في الخلايا هتزيد نتيجة المساج هتطلع للأعلى عشان
+
+47
+00:04:13,680 --> 00:04:18,940
+تاخد مكانها هذه الخلايا بتحل مكان خلايا ميتة فبتم
+
+48
+00:04:18,940 --> 00:04:24,940
+التخلص من الخلايا الميتة خصوصا في طبقة ال stratum
+
+49
+00:04:24,940 --> 00:04:34,590
+corneum الطبقة العليا من ال skinأيضًا فرق الأيدي
+
+50
+00:04:34,590 --> 00:04:39,790
+على الجلد سيساعد على ربط هذه الخلايا على الأرض
+
+51
+00:04:39,790 --> 00:04:46,350
+عملية الفرق أو الدعك للجلد في هذه المناطق هيساعد
+
+52
+00:04:46,350 --> 00:04:51,490
+أنه مئات و ألاف الخلايا الميتة هذه أن الجسم يتخلص
+
+53
+00:04:51,490 --> 00:04:54,110
+منها و يحل محلها خلايا
+
+54
+00:04:58,830 --> 00:05:04,650
+اللون الجلد بتغير وزي ما قلنا ان عملية المساج
+
+55
+00:05:04,650 --> 00:05:08,030
+بردوس ديليشن of the surface capillaries
+
+56
+00:05:13,960 --> 00:05:18,960
+وهذا طبعا هتسبب نوع من الـhyperemia and erythema
+
+57
+00:05:18,960 --> 00:05:25,360
+الاحمرار اللي بيكون موجود نتيجة المساج أو نتيجة
+
+58
+00:05:25,360 --> 00:05:30,900
+الدعك اللي بيكون في منطقة ال skin sebaceous glands
+
+59
+00:05:30,900 --> 00:05:34,440
+are stimulated to produce and release more sebum
+
+60
+00:05:34,440 --> 00:05:42,880
+الخلايا أو الغدد الدهنيةهتبدأ تفرز مادة الـ sebum
+
+61
+00:05:42,880 --> 00:05:48,960
+بشكل أكبر و هيحفظها المساج لأنها تنتج هذه الكمية
+
+62
+00:05:48,960 --> 00:05:55,080
+أو تنتج الـ sebum بشكل أكبر شو بيستفيد الجسم من
+
+63
+00:05:55,080 --> 00:05:59,200
+الـ sebum هيساعد في عملية ال lubrication of the
+
+64
+00:05:59,200 --> 00:06:05,180
+skin and keep it soft and supple هتحافظ على نضارة
+
+65
+00:06:05,180 --> 00:06:19,220
+الجلد و هتحافظ علىنعومة الجلد مادة
+
+66
+00:06:19,220 --> 00:06:23,540
+اللي بنعمل فيها المساج سواء كانت كريم سواء كانت
+
+67
+00:06:23,540 --> 00:06:29,500
+زيوت اللي بنستخدمها في عملية المساج كمان بتسهل في
+
+68
+00:06:29,500 --> 00:06:36,020
+عملية ال lubrication و بتسهل في عملية softening of
+
+69
+00:06:36,020 --> 00:06:40,310
+the skinالسويتي جلانت تعمل تعمل تعمل تعمل تعمل
+
+70
+00:06:40,310 --> 00:06:41,470
+تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل
+
+71
+00:06:41,470 --> 00:06:46,350
+تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل
+
+72
+00:06:46,350 --> 00:06:53,030
+تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل
+
+73
+00:06:53,030 --> 00:06:53,070
+تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل
+
+74
+00:06:53,070 --> 00:06:53,150
+تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل
+
+75
+00:06:53,150 --> 00:06:53,950
+تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل
+
+76
+00:06:53,950 --> 00:07:00,270
+تعمل تعمل تعمل تعمل تعمل تعمل تعمل
+
+77
+00:07:05,620 --> 00:07:08,940
+نجي نطلع على ال effect of massage on the adipose
+
+78
+00:07:08,940 --> 00:07:14,820
+tissue الخلايا والنسيج الدهني adipose tissue is a
+
+79
+00:07:14,820 --> 00:07:18,260
+connective tissue composed mainly of specialized
+
+80
+00:07:18,260 --> 00:07:24,100
+cells called adipocytes adapted to store fat
+
+81
+00:07:27,610 --> 00:07:32,190
+هو عبارة عن المادة الدهنية اللى بتفرزها الغدد
+
+82
+00:07:32,190 --> 00:07:35,710
+الدهنية في ال skin ال sebaceous gland كمان في
+
+83
+00:07:35,710 --> 00:07:42,630
+عيننا ال adipose tissue وهو نسيج مخصص لحفظ المواد
+
+84
+00:07:42,630 --> 00:07:51,960
+الدهنية تحت ال skin أو تحت الجلدهو موجود تحت الجلب
+
+85
+00:07:51,960 --> 00:08:04,900
+و حول
+
+86
+00:08:04,900 --> 00:08:13,660
+الأعضاء و أحشاء الداخلية مثل القلب و الكدنى حول
+
+87
+00:08:13,660 --> 00:08:18,060
+الأعضاء
+
+88
+00:08:18,060 --> 00:08:21,930
+و أحشاء الداخلية مثل القلب و الكنزالخلايا الدهنية
+
+89
+00:08:21,930 --> 00:08:29,070
+هي نسيج الدهن كلنا نعرف أن الجسم بيستفيد من
+
+90
+00:08:29,070 --> 00:08:34,650
+الخلايا الدهنية والنسيج الدهني في عملية حرقها
+
+91
+00:08:34,650 --> 00:08:43,410
+وإنتاج الطاقة في حرقها وإنتاج الطاقة وهذه الطاقة
+
+92
+00:08:43,410 --> 00:08:49,830
+اللي لازمة للعمليات الحيوية وأنشطات الجسمهو مخزن
+
+93
+00:08:49,830 --> 00:08:55,230
+عندما تخزين الطاقة أكبر من نتائج الطاقة ومستخدم
+
+94
+00:08:55,230 --> 00:09:02,240
+إذا تخزين الطاقة أقل من نتائج الطاقةتخزين المادة
+
+95
+00:09:02,240 --> 00:09:08,300
+الدهنية إذا كان تناول المادة الدهنية أكبر من حرق
+
+96
+00:09:08,300 --> 00:09:13,080
+المادة الدهنية في هذه الحالة يتم تخزين المادة
+
+97
+00:09:13,080 --> 00:09:22,020
+الدهنية لكن إذا كانت كمية الحرق أو كمية التناولأقل
+
+98
+00:09:22,020 --> 00:09:26,340
+من كمية الحرق إذا كانت كمية تناول المواد الدهنية
+
+99
+00:09:26,340 --> 00:09:33,800
+أقل من كمية حرقها هلاجى أن الجسم بدأ يستفيد من
+
+100
+00:09:33,800 --> 00:09:39,300
+المادة الدهنية المخزنة تحت الجلب عشان يحرقها
+
+101
+00:09:39,300 --> 00:09:42,640
+ويستفيد منها في إنتاج الطاقة
+
+102
+00:09:51,520 --> 00:09:57,580
+لكي يتخلص من الفات، يجب أن نقلل من كمية التناول
+
+103
+00:09:57,580 --> 00:10:03,720
+الفات و نزود من كمية الأنشطة و ال exercises اللي
+
+104
+00:10:03,720 --> 00:10:08,040
+بنعملها في حياتنا اليوميةHowever, massage is
+
+105
+00:10:08,040 --> 00:10:12,780
+thought to help the dispersal of fat because the
+
+106
+00:10:12,780 --> 00:10:16,640
+deeper movement stimulate blood flow to the area
+
+107
+00:10:16,640 --> 00:10:22,700
+من هذه طبعا منفهم ان المساج هيحافظ على عملية
+
+108
+00:10:22,700 --> 00:10:29,220
+التشتيت للخلايا الدهنية dispersal of fat because
+
+109
+00:10:29,220 --> 00:10:33,220
+the deeper movement stimulate blood flow to the
+
+110
+00:10:33,220 --> 00:10:40,970
+areaبتم تشتيت الخلايا الدهنية نتيجة الـ deep
+
+111
+00:10:40,970 --> 00:10:45,810
+massage أو الـ deeper movement of massage اللى
+
+112
+00:10:45,810 --> 00:10:53,470
+بتحفظ الدورة الدموية في هذه المناطقهذا يحرر
+
+113
+00:10:53,470 --> 00:10:58,090
+المنطقة ويسرع في إزالة المساج من خلال الدم المتسلل
+
+114
+00:10:58,090 --> 00:11:05,110
+من هذه المنطقة ويعطي المستخدم استخدام الطعام كمان
+
+115
+00:11:05,110 --> 00:11:12,120
+عملية المساجبتساعد في عملية ال softening of the
+
+116
+00:11:12,120 --> 00:11:18,820
+area وبتسرع من عملية التخلص من ال waste products
+
+117
+00:11:18,820 --> 00:11:24,740
+من خلال ال circulating blood من خلال الدورة
+
+118
+00:11:24,740 --> 00:11:30,220
+الدموية اللي احنا نشطناها في هذه المنطقة providing
+
+119
+00:11:30,220 --> 00:11:36,980
+the client also reduces intake of foodو هذه طبعا
+
+120
+00:11:36,980 --> 00:11:41,280
+مصاحبة
+
+121
+00:11:42,230 --> 00:11:50,090
+تقليل كمية تناول الطعام عشان في النهاية نصل لتخفيف
+
+122
+00:11:50,090 --> 00:11:56,010
+كمية الدهون نخل الجسم يستفيد من المادة الدهونية
+
+123
+00:11:56,010 --> 00:12:01,890
+المخزنة في إنتاج الطاقة اللازمة له however massage
+
+124
+00:12:01,890 --> 00:12:06,150
+is thought to help the dispersal of fat because
+
+125
+00:12:06,150 --> 00:12:09,590
+the deeper movement stimulate blood flow to the
+
+126
+00:12:09,590 --> 00:12:09,930
+area
+
+127
+00:12:13,260 --> 00:12:18,660
+الحركات العميقة من المساج او الحركات القوية اللى
+
+128
+00:12:18,660 --> 00:12:24,120
+بنستخدمها في المساج هتزود الدورة الدموية للمنطقة و
+
+129
+00:12:24,120 --> 00:12:29,080
+بزيادة الدورة الدموية هلاجى فيه تشتيت للخلايا
+
+130
+00:12:29,080 --> 00:12:34,040
+الدهنية dispersal of fat cells this softens the
+
+131
+00:12:34,040 --> 00:12:38,220
+area and may speed up removal via the circulating
+
+132
+00:12:38,220 --> 00:12:47,510
+blood from that areaهنلاقي ان هذه الحركات هتعمل
+
+133
+00:12:47,510 --> 00:12:50,050
+على softening of the area
+
+134
+00:12:54,810 --> 00:12:59,170
+هنلاقيها انه بتزود الدبرة الدموية وبالتالي هيتم
+
+135
+00:12:59,170 --> 00:13:04,590
+التخلص بشكل أسرع من ال waste product ال system ال
+
+136
+00:13:04,590 --> 00:13:12,010
+سكليتل نيجي الآن للجهاز العضمي وكلكوا تقريبا مر
+
+137
+00:13:12,010 --> 00:13:16,710
+عليكم ال system ال سكليتل في أثناء دراستكوا لل
+
+138
+00:13:16,710 --> 00:13:22,290
+basic anatomy لكن احنا بصدد مراجعة بسيطة جدا مش
+
+139
+00:13:22,290 --> 00:13:28,920
+هنحكي عن كل شيءإذا الـ ciclical system made up of
+
+140
+00:13:28,920 --> 00:13:35,800
+bones bones joints and cartilage هلاجي إن مكوناته
+
+141
+00:13:35,800 --> 00:13:41,720
+هي عبارة عن العظام ال joints اللي هي عبارة عن ال
+
+142
+00:13:41,720 --> 00:13:46,680
+articulation between ال bones ال cartilage اللي
+
+143
+00:13:46,680 --> 00:13:53,700
+ممكن يكون هذا طبعا الطبقة اللي بتغطي أسطح التمفصل
+
+144
+00:13:53,700 --> 00:14:02,640
+المفاصلهو عملي أو عمليا بتكون موجودة مع الأطفال
+
+145
+00:14:02,640 --> 00:14:08,620
+قبل اجتمال النمو The human skeleton is made up of
+
+146
+00:14:08,620 --> 00:14:17,000
+206 bones عندنا الجهاز العظمي بتكون من 206 عظمات
+
+147
+00:14:17,030 --> 00:14:25,930
+هذه المجموعة مجموعة اكسية اكسية اكسية
+
+148
+00:14:25,930 --> 00:14:29,130
+اكسية اكسية اكسية اكسية اكسية اكسية اكسية اكسية
+
+149
+00:14:29,130 --> 00:14:30,950
+اكسية اكسية اكسية اكسية اكسية اكسية اكسية اكسية
+
+150
+00:14:30,950 --> 00:14:34,330
+اكسية اكسية اكسية اكسية اكسية اكسية اكسية اكسية
+
+151
+00:14:34,330 --> 00:14:34,550
+اكسية اكسية اكسية اكسية اكسية اكسية اكسية اكسية
+
+152
+00:14:34,550 --> 00:14:37,510
+اكسية اكسية اكسية اكسية اكسية اكسية اكسية اكسية
+
+153
+00:14:37,510 --> 00:14:42,570
+اكسية اكسية
+
+154
+00:14:42,730 --> 00:14:48,030
+بالوس وفي عنا الـ Avondicular skeletal اللى بتكون
+
+155
+00:14:48,030 --> 00:14:54,630
+من الأطرا which form the girdles and limbs it's
+
+156
+00:14:54,630 --> 00:14:58,470
+important to identify skeletal bone particularly
+
+157
+00:14:58,470 --> 00:15:02,450
+those with bony points or prominences which must
+
+158
+00:15:02,450 --> 00:15:08,190
+be avoided when massagingمن خلال دراستنا للـ
+
+159
+00:15:08,190 --> 00:15:12,650
+scratal system نريد أن نعرف ما هي المناطق العظمية
+
+160
+00:15:12,650 --> 00:15:18,010
+الموجودة و سنستفيد منها في معرفتها و معرفة أماكنها
+
+161
+00:15:18,010 --> 00:15:22,570
+و خصوصا في عملية تطبيق المساج و نعرف أين المناطق
+
+162
+00:15:22,570 --> 00:15:28,750
+اللي فيها bone بروزات عظمية و نتجنبها في عملية
+
+163
+00:15:28,750 --> 00:15:33,790
+المساجمرتبط بـ skeletal system muscles إذا ارتباط
+
+164
+00:15:33,790 --> 00:15:38,810
+سكلتال سيستم و muscles are soft tissue structures
+
+165
+00:15:38,810 --> 00:15:43,150
+responsible for movement إذا ال function of the
+
+166
+00:15:43,150 --> 00:15:48,570
+muscles is movement of the bodyfunction من خلال
+
+167
+00:15:48,570 --> 00:15:53,350
+contraction اللي ممكن يصير في هذه المجموعة أو
+
+168
+00:15:53,350 --> 00:15:57,350
+المجموعات العضلية muscles have contractile tissue
+
+169
+00:15:57,350 --> 00:16:01,890
+which when activated facilitated movement produce
+
+170
+00:16:01,890 --> 00:16:06,790
+heat and maintain posture عملية ال contraction
+
+171
+00:16:06,790 --> 00:16:14,610
+اللي بتصير في العضلات هي اللي هتعملهو هتعمل إنتاج
+
+172
+00:16:14,610 --> 00:16:22,870
+للحرارة و هتحافظ على ال boss الشاشة الهيكل العام
+
+173
+00:16:22,870 --> 00:16:24,750
+أو الهيئة العامة لل body
+
+174
+00:16:27,720 --> 00:16:42,020
+الجهاز العضلي يتحكم
+
+175
+00:16:42,020 --> 00:16:49,120
+بشكل كبير جدا ال nervous system ممكن ينقسم الجهاز
+
+176
+00:16:49,120 --> 00:16:57,460
+العضلي إلىvoluntary muscles عضلات إرادية بسموها
+
+177
+00:16:57,460 --> 00:17:02,720
+skeletal muscles أو العضلات الهيكلية وهذه موجودة
+
+178
+00:17:02,720 --> 00:17:08,340
+حوالين العظام وهي اللي بتساعد في حركة الجسم these
+
+179
+00:17:08,340 --> 00:17:13,380
+are under the control of the will and the central
+
+180
+00:17:13,380 --> 00:17:18,580
+nervous system the fibers are long and stripped
+
+181
+00:17:18,580 --> 00:17:19,920
+طبيعي
+
+182
+00:17:22,500 --> 00:17:33,800
+الألياف تبعتها طويلة ومخططة مرتبطين
+
+183
+00:17:33,800 --> 00:17:41,540
+بشكل مباشر بالجهاز الهيكلي ووظفتهم حركة الجسم
+
+184
+00:17:46,030 --> 00:17:51,130
+النوع التاني بيسموه involuntary muscles و هاد ال
+
+185
+00:17:51,130 --> 00:17:58,370
+involuntary muscles أيضا موجودين تحت تصرف الجهاز
+
+186
+00:17:58,370 --> 00:18:06,410
+العصبي المركزي اللا إرادي بيسموه autonomic nervous
+
+187
+00:18:06,410 --> 00:18:13,950
+system ANS و هاد طبعا ما يميزه ال fibers of the
+
+188
+00:18:13,950 --> 00:18:20,490
+muscles are shortand unstripped العضلات الألياف
+
+189
+00:18:20,490 --> 00:18:27,790
+قصيرة وغير مخططة lies in the bezel wall and move
+
+190
+00:18:27,790 --> 00:18:36,010
+on the contents وهذه موجودة بشكل كبير جدا في ال
+
+191
+00:18:36,010 --> 00:18:39,670
+walls في جدر
+
+192
+00:18:42,130 --> 00:18:48,450
+الاجهزة والاحشاء الداخلية حلاجي موجود منها في ال
+
+193
+00:18:48,450 --> 00:18:52,530
+blood vessels جدار ال blood vessels حلاجي موجود
+
+194
+00:18:52,530 --> 00:18:56,630
+منها في جدار المثال على سبيل المثال
+
+195
+00:18:59,430 --> 00:19:03,610
+النوع التالت من العضلات يسموها cardiac muscles
+
+196
+00:19:03,610 --> 00:19:08,730
+العضلات القلبية this is a form of involuntary
+
+197
+00:19:08,730 --> 00:19:14,570
+muscles عضلات لا إرادية found only in the heart و
+
+198
+00:19:14,570 --> 00:19:21,410
+فقط موجودة في القلبالشباب ليسوا تحت التحكم بالحب
+
+199
+00:19:21,410 --> 00:19:29,390
+بل تحت اتنوميك نيربسيستم انهم تحت اتنوميك
+
+200
+00:19:29,390 --> 00:19:35,410
+نيربسيستم ويحتوي ايضا على نفس نيربسيستم اللي يتحكم
+
+201
+00:19:35,410 --> 00:19:41,690
+فيها الجهاز العصبي اللا إرادي الاتنوميك نيربسيستم
+
+202
+00:19:44,030 --> 00:19:50,150
+العصبية العصبية الخاصة بها ال fibers are short and
+
+203
+00:19:50,150 --> 00:19:59,390
+stripped ما يميزها ان عضلاتها قصيرةو مخططة في حين
+
+204
+00:19:59,390 --> 00:20:06,070
+ان ال voluntary muscles قصيرة ال fibers بقتها
+
+205
+00:20:06,070 --> 00:20:12,070
+unstripped ال voluntary muscles هلاجي ان هي عبارة
+
+206
+00:20:12,070 --> 00:20:13,850
+عن عضلات
+
+207
+00:20:16,080 --> 00:20:23,040
+مخططة و fibers بعتها are long شو وظيفة ال cardiac
+
+208
+00:20:23,040 --> 00:20:27,300
+muscles؟ they create a wave of contraction which
+
+209
+00:20:27,300 --> 00:20:32,360
+pump the blood onward through the heart to the
+
+210
+00:20:32,360 --> 00:20:39,480
+blood vessels و وظيفتها بتحافظ على انهتخلّي عضلة
+
+211
+00:20:39,480 --> 00:20:46,080
+القلب تبقى في نبض مستمر عشان تساعد في عملية او
+
+212
+00:20:46,080 --> 00:20:53,680
+عشان توصل او بوشز ال blood تدفع الدم لكل أجهزة
+
+213
+00:20:53,680 --> 00:20:57,860
+الجسم بالنسبة
+
+214
+00:20:57,860 --> 00:21:01,620
+للعضلات، في عندنا three types of muscle في عندنا
+
+215
+00:21:01,620 --> 00:21:05,140
+voluntary muscles اللي بيسموها ascletal muscles
+
+216
+00:21:05,140 --> 00:21:12,830
+وهي تقع تحتمسئولية الجهاز العصبي المركزي الـ
+
+217
+00:21:12,830 --> 00:21:17,850
+Central Nervous System وهي اللي بتساعد في عملية
+
+218
+00:21:17,850 --> 00:21:22,630
+الحركة النوع التاني الـ involuntary muscles وهذه
+
+219
+00:21:22,630 --> 00:21:28,050
+العضلات تقع تحت مسئولية الـ Autonomic Nervous
+
+220
+00:21:28,050 --> 00:21:33,700
+System الجهاز العصبي المركزيالمميزة أو ميزة
+
+221
+00:21:33,700 --> 00:21:37,240
+العضلات والانسجال اللى فيها انه عبارة عن short
+
+222
+00:21:37,240 --> 00:21:43,900
+fibers قصيرة و unstripped و غير مخططة في حين ان
+
+223
+00:21:43,900 --> 00:21:49,840
+العضلات الهيكلية long fibers و stripped and
+
+224
+00:21:49,840 --> 00:21:54,740
+stripped و مخططةالنوع التالت الـ cardiac muscles
+
+225
+00:21:54,740 --> 00:22:01,120
+وهذا طبعا تحت مسئولية الـ autonomic nervous system
+
+226
+00:22:01,120 --> 00:22:05,420
+ميزة العضلات اللي موجودة فيها ال fibers إنها short
+
+227
+00:22:05,420 --> 00:22:10,880
+and stripوهي المسئولة أو بتحافظ على ضربات القلب
+
+228
+00:22:10,880 --> 00:22:16,180
+المستمرة اللى بيستفيد منها الجسم فى ضخ الدم لكل
+
+229
+00:22:16,180 --> 00:22:22,480
+أنحاء الجسم فى جسم الإنسان حوالى او اكتر من ستمية
+
+230
+00:22:22,480 --> 00:22:29,140
+عضلة موجودة ال contraction of these muscles create
+
+231
+00:22:29,140 --> 00:22:34,700
+purposeful movement الستمية عضلة هدولة عند ما يصير
+
+232
+00:22:34,700 --> 00:22:39,550
+ايللجسم يكون هناك contraction لهم اكيد حيصير في
+
+233
+00:22:39,550 --> 00:22:44,130
+عندنا بعض الحركات الوظيفية اللي بيستفيد منها الجسم
+
+234
+00:22:44,130 --> 00:22:48,270
+كل عضلة عضلة عضلة عضلة عضلة عضلة عضلة عضلة عضلة
+
+235
+00:22:48,270 --> 00:22:49,450
+عضلة عضلة عضلة عضلة عضلة عضلة عضلة عضلة عضلة عضلة
+
+236
+00:22:49,450 --> 00:22:52,070
+عضلة عضلة عضلة عضلة عضلة عضلة عضلة عضلة عضلة عضلة
+
+237
+00:22:52,070 --> 00:22:56,590
+عضلة عضلة عضلة عضلة عضلة عضلة عضلة عضلة عضلة عضلة
+
+238
+00:22:56,590 --> 00:22:57,570
+عضلة عضلة عضلة عضلة عضلة عضلة عضلة عضلة عضلة عضلة
+
+239
+00:22:57,570 --> 00:23:03,830
+عضلة
+
+240
+00:23:03,830 --> 00:23:08,570
+عand are as follows الأغشاء الداخلي الاندوميزيام
+
+241
+00:23:08,570 --> 00:23:11,370
+this delicate membrane of connective tissue
+
+242
+00:23:11,370 --> 00:23:15,970
+covering the muscle fiber في عند ال muscle fiber
+
+243
+00:23:15,970 --> 00:23:22,110
+بيغطي طبقة الاندوميزيام البريميزيام stronger
+
+244
+00:23:22,110 --> 00:23:25,670
+connective tissue membrane which cover group of
+
+245
+00:23:25,670 --> 00:23:31,330
+fibers الابيميزيام it is the cursor connective
+
+246
+00:23:31,330 --> 00:23:36,120
+membranewhich cover the whole muscle form by
+
+247
+00:23:36,120 --> 00:23:40,400
+collection of groups of fiber الآن الصورة زي ما
+
+248
+00:23:40,400 --> 00:23:45,380
+احنا شايفين هاي في عندي ال muscle fiber هلاقي انه
+
+249
+00:23:45,380 --> 00:23:53,500
+بيغطي طبقة بيسموها ال endomysium كل مجموعة من ال
+
+250
+00:23:53,500 --> 00:24:02,570
+muscle fiber تملي الفاسكل الفاسكل هذه تغطى بطبقةمن
+
+251
+00:24:02,570 --> 00:24:08,570
+ال connective tissue بسمى ال ابيميزيام وكل مجموعات
+
+252
+00:24:08,570 --> 00:24:15,690
+ال fascicles كلها مغطية بطبقة من ال connective
+
+253
+00:24:15,690 --> 00:24:20,710
+tissue بسموها ال بيريميزيام بارتباط العضلات مع ال
+
+254
+00:24:20,710 --> 00:24:29,770
+bone هلاجي انه يكون عندى التندن ابنيروسس الليجامنس
+
+255
+00:24:29,770 --> 00:24:31,590
+and فاشيا
+
+256
+00:24:34,650 --> 00:24:44,330
+التندنس هي عبارة
+
+257
+00:24:44,330 --> 00:24:49,750
+عن انسجن
+
+258
+00:24:49,750 --> 00:24:53,650
+متليفة انسجن متليفة انسجن متليفة انسجن متليفة
+
+259
+00:24:53,650 --> 00:24:59,010
+انسجن متليفة انسجن متليفة انسجن
+
+260
+00:24:59,010 --> 00:25:01,170
+متليفة انسجن متليفة انسجن متليفة انسجن متليفة
+
+261
+00:25:01,170 --> 00:25:01,910
+انسجن متليفة انسجن متليفة انسجن متليفة انسجن
+
+262
+00:25:01,910 --> 00:25:03,560
+انسجن متليفة انسجن متليفة انسجن متهو عبارة عن
+
+263
+00:25:03,560 --> 00:25:06,060
+عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة
+
+264
+00:25:06,060 --> 00:25:08,400
+عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن
+
+265
+00:25:08,400 --> 00:25:10,520
+عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة
+
+266
+00:25:10,520 --> 00:25:13,060
+عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن
+
+267
+00:25:13,060 --> 00:25:15,340
+عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة
+
+268
+00:25:15,340 --> 00:25:15,380
+عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن
+
+269
+00:25:15,380 --> 00:25:15,500
+عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة
+
+270
+00:25:15,500 --> 00:25:27,240
+عن عبارة عن عبارة عن عبارة عن عبارة عن عبالعضلة و
+
+271
+00:25:27,240 --> 00:25:33,100
+العظم في حين ان ال aponeurosis بيربط ما بين two
+
+272
+00:25:33,100 --> 00:25:40,740
+muscles مع بعض بيربط ما بين عضلتين في جسم الإنسان
+
+273
+00:25:40,740 --> 00:25:45,460
+هذا بيسموها ال aponeurosis موجودين في العضلات
+
+274
+00:25:45,460 --> 00:25:48,140
+tendons,
+
+275
+00:25:49,140 --> 00:25:56,740
+aponeurosis, ligaments and fasciaالليجامنت او
+
+276
+00:25:56,740 --> 00:26:01,500
+عبارة عن strong band من ال connective tissue which
+
+277
+00:26:01,500 --> 00:26:07,480
+hold bones together تربط
+
+278
+00:26:07,480 --> 00:26:11,620
+العظم
+
+279
+00:26:11,620 --> 00:26:30,100
+مع بعضه، تربط العظم في العظمالفاشية عبارة
+
+280
+00:26:30,100 --> 00:26:39,000
+عن طبقة من ال connective tissue بتغطيكل الجسم و
+
+281
+00:26:39,000 --> 00:26:44,660
+under the skin موجودة under the skin و بتنقسم إلى
+
+282
+00:26:44,660 --> 00:26:49,340
+طبقتين deep layer which surround the muscles bone
+
+283
+00:26:49,340 --> 00:26:54,400
+and deep organs superficial layer which is the
+
+284
+00:26:54,400 --> 00:26:58,940
+layer just under the skinفي بعض الأمور أو بعض
+
+285
+00:26:58,940 --> 00:27:05,120
+المصطلحات اللي مرتبطة بال muscles و بال muscle
+
+286
+00:27:05,120 --> 00:27:10,120
+action على سبيل المثال لو قلنا motor unit هنلاقي
+
+287
+00:27:10,120 --> 00:27:16,980
+هي عبارة عن muscle and nerve supplying it make up
+
+288
+00:27:16,980 --> 00:27:26,150
+motor unitعضلية او اصغر وحدة عضلية مزودة ب muscle
+
+289
+00:27:26,150 --> 00:27:30,510
+fiber او nerve fiber مزودة ب nerve fiber و بيصير
+
+290
+00:27:30,510 --> 00:27:35,110
+فيها عملية ال contraction اذا ال motor unit هي ال
+
+291
+00:27:35,110 --> 00:27:40,440
+functional unit of the muscular systemموتور نيرون
+
+292
+00:27:40,440 --> 00:27:49,780
+هو جزء
+
+293
+00:27:49,780 --> 00:27:56,340
+العصبي موتور نيرون هي ارتباط او المكان اللى بترتبط
+
+294
+00:27:56,340 --> 00:28:04,820
+فيه العضلة بالعصب سموها ال motor neuron هي تغذية
+
+295
+00:28:04,820 --> 00:28:10,430
+العصبية اللى جاى للمصيرالـ neuromuscular junction
+
+296
+00:28:10,430 --> 00:28:17,290
+يعني مكان التقاء ال nerve supply مع ال muscle
+
+297
+00:28:17,290 --> 00:28:20,750
+بيسموها ال nerve junction neuromuscular junction
+
+298
+00:28:20,750 --> 00:28:24,730
+وهذه النقطة اللي بيسموها ال active nerve which
+
+299
+00:28:24,730 --> 00:28:29,690
+stimulate a muscle through a motor in the blade at
+
+300
+00:28:29,690 --> 00:28:34,380
+the neuromuscular junctionالـ neurotransmitter هي
+
+301
+00:28:34,380 --> 00:28:38,800
+عبارة عن الـ chemical substances اللي بيفرزها
+
+302
+00:28:38,800 --> 00:28:46,660
+الجسم وهذا طبعا اللي بتكون موجودة ما بين العضلة و
+
+303
+00:28:46,660 --> 00:28:51,940
+ما بين ال nerve هذا يسموها asatile choline which
+
+304
+00:28:51,940 --> 00:28:59,250
+transmit signals acrossA gap between two neurons
+
+305
+00:28:59,250 --> 00:29:04,550
+called a synapse هذه الفجوة عبارة عن الـ Synapse
+
+306
+00:29:04,550 --> 00:29:10,090
+All or none law muscle fiber obey the all or none
+
+307
+00:29:10,090 --> 00:29:15,250
+law that means each muscle fiber contract maximum
+
+308
+00:29:15,250 --> 00:29:21,710
+كل muscle fiber بتتم انقباضه يا ان انقباضه بالكامل
+
+309
+00:29:21,830 --> 00:29:25,590
+يا اما لا ينقبض بالمطلق مايصير فيه contraction
+
+310
+00:29:25,590 --> 00:29:30,970
+يعني بينفعش في ال muscle فيبر نفسهيصير في عندك
+
+311
+00:29:30,970 --> 00:29:34,050
+contraction عشرة في المية او عشرين في المية لأ
+
+312
+00:29:34,050 --> 00:29:39,090
+بيصير contraction في ال muscle fiber مية في المية
+
+313
+00:29:39,090 --> 00:29:42,690
+من ال definitions اللي موجودة كمان في انها متعلقة
+
+314
+00:29:42,690 --> 00:29:46,790
+بالعضلات في انها aerobic respiration وفي هذه
+
+315
+00:29:46,790 --> 00:29:50,790
+الحالة muscles get their potential energy from
+
+316
+00:29:50,790 --> 00:29:54,350
+reaction between glucose molecules and adenosine
+
+317
+00:29:54,350 --> 00:29:59,700
+triphosphatein the presence of oxygen aerobic
+
+318
+00:29:59,700 --> 00:30:06,420
+respiration بمعنى انه هي عملية حرق للدهون وانتاج
+
+319
+00:30:06,420 --> 00:30:11,700
+الطاقة في وجود ال oxygen في وجود ال oxygen انتاج
+
+320
+00:30:11,700 --> 00:30:16,940
+ال ATP في وجود ال oxygen aerobic respiration هي
+
+321
+00:30:16,940 --> 00:30:23,020
+عملية حرق للدهون في وجود ال oxygenالان aerobic
+
+322
+00:30:23,020 --> 00:30:28,780
+respiration هي عملية حرق للدهون في عدم موجود ال
+
+323
+00:30:28,780 --> 00:30:33,120
+oxygen if the oxygen supplied to muscle is reduced
+
+324
+00:30:33,120 --> 00:30:37,860
+as in high intensity exercises then the ATP is
+
+325
+00:30:37,860 --> 00:30:45,280
+provided by glycolysis هي عملية تكوين او تكسير
+
+326
+00:30:45,280 --> 00:30:50,120
+المواد الدهنية وانتاج الطاقة منها في عدم موجود ال
+
+327
+00:30:50,120 --> 00:30:50,680
+oxygen
+
+328
+00:30:59,600 --> 00:31:07,620
+المستقبلات الحسية موجودة في داخل المفاصل و في داخل
+
+329
+00:31:07,620 --> 00:31:08,660
+جسم الإنسان
+
+330
+00:31:32,690 --> 00:31:42,410
+هي المسؤلين اللي هتعطي الجسم هتعطي ال brainفكرة عن
+
+331
+00:31:42,410 --> 00:31:47,670
+حالة المفاصل و حالة العضلات إذا كان فيها
+
+332
+00:31:47,670 --> 00:31:51,830
+contraction شو ال position اللي موجود في المفصل هل
+
+333
+00:31:51,830 --> 00:31:57,130
+هو مفروض او متني كل هذه طبعا نتيجة وجود ال
+
+334
+00:31:57,130 --> 00:32:00,870
+mechanical receptorsلو ال mechanical receptors هذي
+
+335
+00:32:00,870 --> 00:32:07,130
+مش موجودة، هيبطل يقدر أو هيكون في مشكلة عند الشخص
+
+336
+00:32:07,130 --> 00:32:11,170
+في معرفة ال muscle contraction اللي بيصير في
+
+337
+00:32:11,170 --> 00:32:15,330
+الجسم، في معرفة ال positions اللي موجودة في
+
+338
+00:32:15,330 --> 00:32:16,910
+المفاصل تبعهم
+
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/3ZEkdzz4D-M_postprocess.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/3ZEkdzz4D-M_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..8f6f70dad1c0645bba45fbfb349dbc06118539b7
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/3ZEkdzz4D-M_postprocess.srt
@@ -0,0 +1,1388 @@
+1
+00:00:20,750 --> 00:00:22,770
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:22,770 --> 00:00:28,550
+اليوم ان شاء الله يا شباب هنبدأ مع عنوان جديد اللي
+
+3
+00:00:28,550 --> 00:00:34,230
+هو ال determinant او المحددات ال .. طبعا الموضوع
+
+4
+00:00:34,230 --> 00:00:39,070
+له علاقة بالمصففات تمام؟ لكن له علاقة بحل
+
+5
+00:00:39,070 --> 00:00:42,870
+المعادلات الرياضية من قبل واحنا هنبقى يعني شيء
+
+6
+00:00:42,870 --> 00:00:45,850
+بسيط اللي بدنا الموضوع مش هنخوض فيه تفاصيل
+
+7
+00:00:45,850 --> 00:00:51,470
+واتباتات كتيرة لكن ضروري جدالأن الموضوع عملية حساء
+
+8
+00:00:51,470 --> 00:00:55,410
+رياضيات وبعض الألجيبرا ضرورة تشغل دماغك معايا في
+
+9
+00:00:55,410 --> 00:00:58,130
+محاضرة اليوم مش طويلة محاضرتنا ان شاء الله تعالى
+
+10
+00:00:58,130 --> 00:01:01,510
+كنهم خمستاشر ستاشر او سبعتاشر slide اليوم ان شاء
+
+11
+00:01:01,510 --> 00:01:07,750
+الله بص ساعت زمان الله أعلمالـ Determinant لما
+
+12
+00:01:07,750 --> 00:01:11,670
+تسمع كلمة الـ Determinant المحدد معناته أنا بتكلم
+
+13
+00:01:11,670 --> 00:01:17,890
+على Value بتكلم على Value قيمة ايش القيمة هذه؟ هذه
+
+14
+00:01:17,890 --> 00:01:24,450
+القيمة لازم او هيتم اشتقاقها من مصفوفة مربعة الـ
+
+15
+00:01:24,450 --> 00:01:29,390
+Determinant هي قيمة مشتقة من مصفوفة مربعة خلينا
+
+16
+00:01:29,390 --> 00:01:32,670
+أول حاجة نجفن شو يعني مصفوفة مربعة يا شباب؟
+
+17
+00:01:32,670 --> 00:01:38,330
+بتعرفوا المصفوفات؟ طيب تمامالان لما انا باتكلم على
+
+18
+00:01:38,330 --> 00:01:42,010
+مصفوفة باتكلم على more than one value اكتر من قيمة
+
+19
+00:01:42,010 --> 00:01:47,730
+واحدة موجودين مع بعض الان المصفوفات جرت العدب
+
+20
+00:01:47,730 --> 00:01:56,330
+نكتبهم بالشكل هذا والمصفوفة تشكل من الصفوف والاعنب
+
+21
+00:01:57,820 --> 00:02:02,920
+تمام؟ واحنا بنقول رطبة المصفوفة رطبتها .. رطبة
+
+22
+00:02:02,920 --> 00:02:08,220
+المصفوفة جديش فيها صفوف جديش فيها أعمدة لما بنقول
+
+23
+00:02:08,220 --> 00:02:13,800
+مصفوفة مربعة بيكون عدد الصفوف يساوي عدد الأعمدة
+
+24
+00:02:13,800 --> 00:02:26,440
+الآن لو أنا اجيت في المصفوفة كتابة A B C D E F G H
+
+25
+00:02:27,110 --> 00:02:34,950
+I الان هذه المصفوفة تلت صفوف تلاتة في تلاتة و تلت
+
+26
+00:02:34,950 --> 00:02:41,530
+أعمدة يعني هذه المصفوفة مصفوفة مربعة الان في شغل
+
+27
+00:02:41,530 --> 00:02:46,850
+مهم مع كل مصفوفة أي نقطة في المصفوفة يا شباب تمثل
+
+28
+00:02:46,850 --> 00:02:52,430
+او تحدد باسم المصفوفة وليكن اسمها ايه تمام لما
+
+29
+00:02:52,430 --> 00:02:55,670
+باجي بقول ايه واحد واحد
+
+30
+00:02:58,030 --> 00:03:02,070
+المقصود فيها القيمة المخزنة أو متواجدة في الصف
+
+31
+00:03:02,070 --> 00:03:09,410
+الأول في العمود الأول A13 دائما
+
+32
+00:03:09,410 --> 00:03:14,850
+بقدم الصف على العمود دائما بقدم الصف على العمود
+
+33
+00:03:14,850 --> 00:03:22,490
+تمام إذا أنا بدي أجمع مصففتين لازم يكونوا من نفس
+
+34
+00:03:22,490 --> 00:03:28,280
+الرتبةإذا أنا بدي أجمع مصفوفتين مع بعض لازم يكونوا
+
+35
+00:03:28,280 --> 00:03:31,120
+من نفس الرقبة مابينفعش أروح أقول أنا عندي مصفوفة
+
+36
+00:03:31,120 --> 00:03:37,860
+واحد اتنين تلاتة أربعة واحد اتنين تلاتة أربعة خمسة
+
+37
+00:03:37,860 --> 00:03:41,700
+ستة سبعة تمانية تسعة وأقول بدي أجمع المصفوفتين
+
+38
+00:03:41,700 --> 00:03:47,900
+هدول ولا بينفعني أضربهم هلأ قلت بقولك ليش الان
+
+39
+00:03:47,900 --> 00:03:50,740
+قليلا أتكلم بس على الجامعة معلومات عامة الآن في
+
+40
+00:03:50,740 --> 00:03:55,490
+المصفوفاتكمان مرة المصفوفة مشكلة من مجموعة من
+
+41
+00:03:55,490 --> 00:03:59,870
+الصفوف والأعمدة وبنقول عنها رتبة المصفوفة الان
+
+42
+00:03:59,870 --> 00:04:04,490
+المصفوفة مربعة لو كانت عدد الصفوف تساوي عدد
+
+43
+00:04:04,490 --> 00:04:10,030
+الأعمدة ال determinant هي عبارة عن value مشتق من
+
+44
+00:04:10,030 --> 00:04:13,890
+المصفوفة المربعة الان بيجتج مع مصفوفتين لازم
+
+45
+00:04:13,890 --> 00:04:19,070
+يكونوا من نفس الرتبة صفوف وأعمدة هدول هذين اجمع
+
+46
+00:04:19,070 --> 00:04:24,110
+المصفوفتين هذين اتنين في اتنينو هذه تلاتة في تلاتة
+
+47
+00:04:24,110 --> 00:04:32,730
+بينفعش أصبر شوية طيب لو أنا عملت هذه هيك تلاتة
+
+48
+00:04:32,730 --> 00:04:36,790
+خمسة هذه صارت تلاتة في اتنين بينفعش ما؟ برضه لا
+
+49
+00:04:36,790 --> 00:04:43,770
+لأنه عدد الأعمد مختلفة تمام؟ لما آجي أتكلم يا شباب
+
+50
+00:04:43,770 --> 00:04:51,980
+على ضرب مصفف تينضرب مصفوفتين لازم تكون عدد الأعمدة
+
+51
+00:04:51,980 --> 00:04:58,340
+في الأولى تساوي عدد الصفوف في الثانية يعني الآن
+
+52
+00:04:58,340 --> 00:05:09,880
+هذه المصفوفة M في N بدي أضربها في مصفوفة M في R
+
+53
+00:05:09,880 --> 00:05:20,160
+تمام الناتج هيكون مصفوفةان عدد صفوف الأولى وعدد
+
+54
+00:05:20,160 --> 00:05:25,300
+أعمدت التانية تمام يا شباب فلازم يكون عدد صفوف او
+
+55
+00:05:25,300 --> 00:05:32,120
+عفوا عدد نعم عدد أعمدت الأولى تساوي عدد صفوف
+
+56
+00:05:32,120 --> 00:05:37,020
+التانية هذا بيعني ان عملية الضرب في المصفوفات
+
+57
+00:05:37,020 --> 00:05:41,220
+عملية غير إبدالية إلا لو كانت مصفوفتين square ومن
+
+58
+00:05:41,220 --> 00:05:48,630
+نفس الرتبة أسبوب تمامالان اذا احتجناها في حين اخر
+
+59
+00:05:48,630 --> 00:05:55,190
+هنعيد المعلومات الـ determinant اللي هو موضوع
+
+60
+00:05:55,190 --> 00:05:58,550
+محاضرتنا او موضوع الشفتر هذا هو عبارة عن value
+
+61
+00:05:58,550 --> 00:06:06,610
+قيمة سبعتاش عشرين تلاتة و نص ربع من I حسب مشتقة من
+
+62
+00:06:06,610 --> 00:06:13,190
+صفوفة مربعةوعادة يا شباب لما انا بتكلم على ال
+
+63
+00:06:13,190 --> 00:06:17,090
+determinant معناته بتكلم على ارتباط المصفوفة
+
+64
+00:06:17,090 --> 00:06:21,870
+بمجموعة من المعادلات مجموعة من المعادلات الجبرية
+
+65
+00:06:21,870 --> 00:06:25,190
+موضوع
+
+66
+00:06:25,190 --> 00:06:30,210
+ال determinant قديم البابليين القدماء تلتمية سنة
+
+67
+00:06:30,210 --> 00:06:35,890
+قبل الميلاد كانوا بيتكلموا عليه المصفوفات
+
+68
+00:06:35,890 --> 00:06:40,160
+وال determinant والشغلات هاي تعالى نشوفأنا one
+
+69
+00:06:40,160 --> 00:06:44,200
+determined انت بتخدمني لو كان في عندي معادلتين
+
+70
+00:06:44,200 --> 00:06:50,480
+شباب رياضيتين سبعة تساوي تلاتة X زائد اتنين Y عشر
+
+71
+00:06:50,480 --> 00:06:54,820
+تساوي اتنين X زائد اربعة Y وسألتك انت غيرت مكانك
+
+72
+00:06:54,820 --> 00:07:03,790
+ليش؟ وسألتك ايش قيمة X وقيمة Y؟عادة الشباب إذا
+
+73
+00:07:03,790 --> 00:07:09,490
+أعطيتك معادلة واحدة فقط فيها متغيرين مستحيل تقدر
+
+74
+00:07:09,490 --> 00:07:14,450
+تجيب لقيمة المتغيرين لكن لو أنا جيت قولتلك سبعة
+
+75
+00:07:14,450 --> 00:07:20,830
+تساوي تلاتة X زائد اتنين هات لقيمة X بتقدر ..
+
+76
+00:07:20,830 --> 00:07:26,710
+بتقدر عشان تجيب قيمة متغيرين بيلزمك على الأقل
+
+77
+00:07:26,710 --> 00:07:32,470
+معادلتينتمام؟ وهذا التفكير بقتوسه كمان شوية في
+
+78
+00:07:32,470 --> 00:07:37,470
+عندي تلت متغيرات عشان الـ3D بالزمن تلت معادلات،
+
+79
+00:07:37,470 --> 00:07:43,790
+تمام؟ طيب، في حالة زي هذه، إيش بدي أسوي؟ التصرف
+
+80
+00:07:43,790 --> 00:07:49,290
+الطبيعي .. التصرف الطبيعي واساسه رياضيات بحته إنه
+
+81
+00:07:49,290 --> 00:07:54,490
+أنا فعليا أحاولأجيب قيمة واحد من المتغيرين
+
+82
+00:07:54,490 --> 00:07:57,990
+الدلالتي التاني و أعوض في المعادلة الأولى بمعنى
+
+83
+00:07:57,990 --> 00:08:03,110
+أجيب من المسألة الأولى هذه هيك ايش اقول انا X بدها
+
+84
+00:08:03,110 --> 00:08:13,230
+تساوي سبعة ناقص اتنين Y على تلاتة لحظة شوية تمام
+
+85
+00:08:13,230 --> 00:08:16,850
+يا شباب مساوتش
+
+86
+00:08:16,850 --> 00:08:18,250
+شيء بس جيبت قيمة X
+
+87
+00:08:29,130 --> 00:08:35,530
+عشرة تساوي اتنين في سبعة نقص اتنين Y على تلاتة
+
+88
+00:08:35,530 --> 00:08:41,390
+زائد اربعة Y صارت المعادلة كلها فيها متغير واحد ال
+
+89
+00:08:41,390 --> 00:08:46,640
+Y صح؟لاحظ يا شباب أنا ماساوتش شديد قاعد بأشتغل
+
+90
+00:08:46,640 --> 00:08:51,540
+بناء على المحاضرات الأولى في الجبر طيب معناته انا
+
+91
+00:08:51,540 --> 00:09:01,880
+في عندي هان اتنين او اربعة عشر ناقص اربع Y على
+
+92
+00:09:01,880 --> 00:09:07,600
+تلاتة زائد اربع Y بتساوي عشرة واحد المقامات هان
+
+93
+00:09:11,950 --> 00:09:19,770
+اربع طعش نقص اربع Y زائد اتناشر Y تساوي عشرة
+
+94
+00:09:19,770 --> 00:09:29,030
+تلاتين تساوي اربع طعش الان عندك اربع Y و اتناشر Y
+
+95
+00:09:29,030 --> 00:09:35,470
+سالب اربع Y يعني تمانية زائد تمانية Y تمانية Y
+
+96
+00:09:35,470 --> 00:09:43,220
+تساوي ستاشر ال Y تساوي اتنينالان بتاخد قيمة Y
+
+97
+00:09:43,220 --> 00:09:48,320
+بتعود في المعادلة الأولى X بيتساوي سبعة ناقص اتنين
+
+98
+00:09:48,320 --> 00:09:57,780
+في اتنين على تلاتة أثبت؟
+
+99
+00:09:57,780 --> 00:10:04,460
+نعم نعم
+
+100
+00:10:08,880 --> 00:10:14,700
+أيه فيهم؟ هذه طيب لما احنا وحد المقام تلاتة تقسيم
+
+101
+00:10:14,700 --> 00:10:18,220
+تلاتة واحد ضربناها في البصط اللي فوق تلاتة تقسيم
+
+102
+00:10:18,220 --> 00:10:23,380
+البقال تبع هذه واحد تلاتة تقسيم واحد تلاتة تلاتة
+
+103
+00:10:23,380 --> 00:10:28,460
+في البصط اللي فوق تلاتة في أربعها حصير اتناشر لان
+
+104
+00:10:28,460 --> 00:10:31,500
+الكلام اللي انت بتقوله كلام صحيح مية في الميةلكن
+
+105
+00:10:31,500 --> 00:10:34,680
+برضه الكلام اللى أنا جاعد بقوله برضه صحيح مافيش
+
+106
+00:10:34,680 --> 00:10:39,440
+مشكلة انا اعتمدت على تحليل بحت للمسألة الرياضية
+
+107
+00:10:39,440 --> 00:10:42,980
+اللى عندي صح؟ بدون ما اروح اضرب و اقسم و اقلح كده
+
+108
+00:10:42,980 --> 00:10:49,340
+لكن ماحدة بيقدر ينكر علي الطريقة هذه لأنها صحيحة
+
+109
+00:10:49,340 --> 00:10:53,490
+ولا خقوة فيهاInvalid كل الخطوات اللي فيها صحيحة
+
+110
+00:10:53,490 --> 00:10:57,210
+وكانت بتسلمني واحدة لتانية وهذا أساس الإثبات
+
+111
+00:10:57,210 --> 00:11:02,050
+الرياضي في كل شيء الآن سمينا بقترح حل زي حل الكتاب
+
+112
+00:11:02,050 --> 00:11:04,810
+اللي موجود على ال slide بقولك بدل ما انا اروح
+
+113
+00:11:04,810 --> 00:11:09,090
+اشتغل هيك طب ليش ما افكر بما ان هو لما يعطيني
+
+114
+00:11:09,090 --> 00:11:15,470
+المعادلتين هدولأحاول أوحّد term من الاتنين يعني
+
+115
+00:11:15,470 --> 00:11:21,130
+هنا في عندى اتنين Y و هنا في عندى اربع Y لو أنا
+
+116
+00:11:21,130 --> 00:11:25,410
+ضربت المعادلتين في اتنين و اطرحتهم من بعض بخلص
+
+117
+00:11:25,410 --> 00:11:29,130
+منين؟ انا عارف لو ضربت الأول باتنين لو ضربت الأول
+
+118
+00:11:29,130 --> 00:11:35,700
+باتنين طبعا اطرحت المعادلتين من بعضبخلص من Y و
+
+119
+00:11:35,700 --> 00:11:39,980
+بجيب قيمة X و بنفس الوجد لو انا فكرت اجيب قيمة ال
+
+120
+00:11:39,980 --> 00:11:45,740
+X أو تمام او خل ال Y تخلص من X بدي اروح اضرب ال 8
+
+121
+00:11:45,740 --> 00:11:49,980
+في 6 على سبيل .. بمش الحال بس ان هذه القيمة تصيب
+
+122
+00:11:49,980 --> 00:11:55,060
+زي هذه يعني بدي اضرب هذه في 2 و اضرب هذه في 3 قيمة
+
+123
+00:11:55,060 --> 00:12:01,210
+حرق مش غلط صح 100% مش غلطشباب اهم شغلة في المعادلة
+
+124
+00:12:01,210 --> 00:12:05,310
+الرياضية اي شغلة بتعملها على الطرف اليمين تقومك
+
+125
+00:12:05,310 --> 00:12:09,230
+على الطرف اليسار انا الان بدي افترض الحل الكتاب
+
+126
+00:12:09,230 --> 00:12:12,370
+مشتغل على الحل الأبسط جالك انا عندي اربعة Y وانا
+
+127
+00:12:12,370 --> 00:12:15,230
+اتنين Y يعني لو ضربت المعادلة الأولى في اتنين
+
+128
+00:12:15,230 --> 00:12:19,130
+باخلص لو انا اجيت قلتلك انا بدي اخلص من .. بدي
+
+129
+00:12:19,130 --> 00:12:25,050
+اخلص من X بديش اخلص من Y مافيش عندي مشكلة بدي اروح
+
+130
+00:12:25,050 --> 00:12:30,010
+ابرب الأولى في اتنينوالمعادلة التانية في تلاتة
+
+131
+00:12:30,010 --> 00:12:36,290
+حصين عندي انا اربع طعش ناقص او تساوي ستة X زائد
+
+132
+00:12:36,290 --> 00:12:46,030
+اربع Y المعادلة التانية تلاتين تساوي ستة X زائد
+
+133
+00:12:46,030 --> 00:12:52,310
+اتناشر Y الان اطرح الاولى من التانية سنة عندك ستة
+
+134
+00:12:52,310 --> 00:12:57,440
+عشراللي هي تلاتين مقص اربعة عشر مظبوط تساوي ستة
+
+135
+00:12:57,440 --> 00:13:04,460
+مقص ستة X صفر زائد اتناش مقص اربعة تمانية Y و Y
+
+136
+00:13:04,460 --> 00:13:09,060
+تساوي ستة عشر على تمانية تساوي اتنين تمام؟ بنفس
+
+137
+00:13:09,060 --> 00:13:13,240
+المنطق اللي احنا بنتكلم عليه جاعدين بغض النظر
+
+138
+00:13:13,240 --> 00:13:17,980
+الشباب ايش القالية اللي انت شفتها؟الأسهل اليك
+
+139
+00:13:17,980 --> 00:13:22,300
+طالما ان قوتك متسلسلة بشكل صحيح مافي حد في الدنيا
+
+140
+00:13:22,300 --> 00:13:29,240
+بيقدر يجون عن حل الغلط تمام الان وصل نجيبنا قيمة y
+
+141
+00:13:29,240 --> 00:13:34,120
+يساوي 2 ايش بتاخدها عوضها في اي مسألة من المسألتين
+
+142
+00:13:34,120 --> 00:13:39,060
+عشان نجيب قيمة x عوض في الأولىسبعة تساوي تلاتة X
+
+143
+00:13:39,060 --> 00:13:44,140
+زائد اتنين في اتنين اربعة سبعة ناقص اربعة تساوي
+
+144
+00:13:44,140 --> 00:13:49,680
+تلاتة X تلاتة تساوي تلاتة X يعني X تساوي واحد في
+
+145
+00:13:49,680 --> 00:13:54,220
+الكتاب جاب ال X الأول هي انا جبت ال Y اي حل
+
+146
+00:13:54,220 --> 00:13:59,640
+بتشتغله مافيش مشكلة تمام؟ في شغل مهم جدا يا شباب
+
+147
+00:13:59,640 --> 00:14:01,820
+في شغل مهم جدا خلّيك معايا
+
+148
+00:14:04,780 --> 00:14:08,920
+ممكن في لحظة من اللحظات يدّيك المعادلتين احنا
+
+149
+00:14:08,920 --> 00:14:14,200
+متفقين الان معادلة واحدة مابتحلش تجيلك متغيرين،
+
+150
+00:14:14,200 --> 00:14:18,600
+مابتديهش قيم متغيرين لو رحت قلتلك انا في عندي
+
+151
+00:14:18,600 --> 00:14:28,140
+اربعة اتناشر تساوي ستة X زائد اربعة Y المعادلة
+
+152
+00:14:28,140 --> 00:14:33,860
+التانيةأديتك معادلتين سبعة
+
+153
+00:14:33,860 --> 00:14:39,140
+يساوي تلاتة X زائد اتنين Y المعادلة التانية اربع
+
+154
+00:14:39,140 --> 00:14:47,650
+تاشت يساوي ستة X زائد اربعة Yأه .. الآن .. الآن
+
+155
+00:14:47,650 --> 00:14:51,750
+المعادلة هذه هي نفس المعادلة السابقة بس مضروبة في
+
+156
+00:14:51,750 --> 00:14:57,590
+2 .. مصبوط؟ بين جوسين مافيش عندى أي معلومة إضافية
+
+157
+00:14:57,590 --> 00:15:01,670
+من أجل حل المسألة .. المسألة دى مش هتحل مطلقا معاك
+
+158
+00:15:01,670 --> 00:15:07,490
+عارف ليش؟ بدك الآن تضرب هذه في 2 عشان تخلص من
+
+159
+00:15:07,490 --> 00:15:12,470
+الأربعة واي .. هتصير كلها أصفر .. هتصير كلها أصفر
+
+160
+00:15:12,470 --> 00:15:17,920
+.. مصبوط؟وبالتالي إذا كنت باه دائما للمعادلة
+
+161
+00:15:17,920 --> 00:15:21,400
+التانية أو المعادلتين ما تكونش واحدة من المضاعفات
+
+162
+00:15:21,400 --> 00:15:29,640
+التانية عشان تقدر تبني حل صحيح وهنا
+
+163
+00:15:29,640 --> 00:15:34,720
+احنا بنسميها fatal example أو unsuccessful example
+
+164
+00:15:36,000 --> 00:15:39,780
+المثال هذا غير ناجح ليش؟ لأنه زي ما قلت قبل شوية
+
+165
+00:15:39,780 --> 00:15:43,800
+هذه مضاعفات ومافيش فيها معلومة جديدة عشان أقدر
+
+166
+00:15:43,800 --> 00:15:49,500
+أبني عليها في الحل بشكل عام شباب شو دخل ال
+
+167
+00:15:49,500 --> 00:15:54,220
+determinant في الموضوع ال determinant يقدم لك حل
+
+168
+00:15:54,220 --> 00:16:00,540
+للمعادلات الرياضية من الدرجة الأولى لبدات متغيرين
+
+169
+00:16:00,540 --> 00:16:06,710
+عادة المعادلات اللي كتبناها سابق أنها يا شبابماخد
+
+170
+00:16:06,710 --> 00:16:14,650
+صورة عامة D1 تساوي الكمية الثابتة A1 في X معامل X
+
+171
+00:16:14,650 --> 00:16:20,030
+التي هي A1 زائد B1 في Y للمعادلة الأولى والمعادلة
+
+172
+00:16:20,030 --> 00:16:29,390
+التانية D2 ضرب A2 في X تساوي A2 في X زائد B2 في Y
+
+173
+00:16:31,840 --> 00:16:39,480
+A1 و A2 نسميهم coefficient معاملات، مظبوط؟ طيب لو
+
+174
+00:16:39,480 --> 00:16:43,840
+أنا بدي أشغل بنفس المنطق السابق، بدي أطرح، شو بدي
+
+175
+00:16:43,840 --> 00:16:52,140
+أسوي؟ بدي أخلص من Y، شو بدي أسوي؟ يا بدي أضرب يا
+
+176
+00:16:52,140 --> 00:16:56,600
+بدي أجسم، و الدرب أسهل من القسمةبصبت؟ عشان هيك انا
+
+177
+00:16:56,600 --> 00:17:00,660
+بدأ أروح باتجاه الدرب انا بدي أخلص من why بدك تقرح
+
+178
+00:17:00,660 --> 00:17:03,880
+مين من مين بدك تقرح المعادلة الأولى من التانية و
+
+179
+00:17:03,880 --> 00:17:10,920
+لا التانية من الأولى انت حر الأد يحقلك في الآخر
+
+180
+00:17:10,920 --> 00:17:16,540
+بدك تاخد المعانل اللي بيؤثر معاك و تروح تضربه في
+
+181
+00:17:16,540 --> 00:17:20,880
+الطرف التاني يعني اذا انا بدي اصل انه واحد ناقص
+
+182
+00:17:20,880 --> 00:17:27,820
+اتنين كمعادلاتطبعا احنا بننصحك تاخد B2 وتضربها 2
+
+183
+00:17:27,820 --> 00:17:31,280
+في المعادلة الأولى الآن هتصير المعادلة الأولى
+
+184
+00:17:31,280 --> 00:17:44,720
+عندها B2 D1 تساوي A1 B2 X زائد B1 B2 Y المعادلة
+
+185
+00:17:44,720 --> 00:17:53,020
+التانية زي ما هي خليها زي ما هي انت الآنلو أنا
+
+186
+00:17:53,020 --> 00:17:56,140
+خلّيتها زي ما هي .. خلّيتها زي ما هي .. إيش حد ..
+
+187
+00:17:56,140 --> 00:18:01,500
+حد جرب راح؟ حد جرب راح؟ لأ، و أنا معاهته لازم شوفت
+
+188
+00:18:01,500 --> 00:18:04,260
+المثال قبل شوية لما كانت تلاتة X و اتنين و .. و
+
+189
+00:18:04,260 --> 00:18:07,620
+اتنين X قولتلك أضرب اللي فوق في الت .. في اتنين و
+
+190
+00:18:07,620 --> 00:18:10,460
+اللي تحت أضربها في تلاتة وبالتالة هان بدي أضرب
+
+191
+00:18:10,460 --> 00:18:15,720
+التانية في B1 الميزة اللي صارت فيه عندي هنا B1 D1
+
+192
+00:18:15,720 --> 00:18:27,270
+تساوي اي عفوا D2 A2 B1 X زائدB1 B2 Y لما انا
+
+193
+00:18:27,270 --> 00:18:31,710
+اطرحهم من بعض انا
+
+194
+00:18:31,710 --> 00:18:40,290
+بأضمن ان ال term عندى راح تمام هتضربنا
+
+195
+00:18:40,290 --> 00:18:46,010
+المعادلة الأولى في B2 والمعادلة التانية في B1 عشان
+
+196
+00:18:46,010 --> 00:18:52,370
+اخلص من ال term Y عشان اخلص منين؟ من قيمة ال Y بعد
+
+197
+00:18:52,370 --> 00:19:01,060
+هيكبدي أنفذ الطرح هتصير عندي D1
+
+198
+00:19:01,060 --> 00:19:12,580
+B2 ناقص D2 B1 تساوي A1 B2 ناقص A2 في B1 كله مضروبة
+
+199
+00:19:12,580 --> 00:19:17,560
+في X هذه المعادلة مظبوط؟
+
+200
+00:19:17,560 --> 00:19:21,720
+الآن
+
+201
+00:19:24,200 --> 00:19:29,120
+هي بعد ما جسّنها قيمة X اللي موجودة عندها و نفس
+
+202
+00:19:29,120 --> 00:19:32,960
+الكلام لو انا بدي اطبقه ل Y شو بدي اساوي؟ لو انا
+
+203
+00:19:32,960 --> 00:19:38,140
+بدي اجيب قيمة Y بدي ادرب .. بدي اخلص منين؟ بدي
+
+204
+00:19:38,140 --> 00:19:45,620
+ادرب المعادلة الأولى في A2 والتانية في A1 عشان لما
+
+205
+00:19:45,620 --> 00:19:48,880
+اطرحهم اخلص منين؟ اخلص من ال X
+
+206
+00:19:54,140 --> 00:19:57,360
+الآن يا شباب لو طلعنا احنا على البسط في المعادلتين
+
+207
+00:19:57,360 --> 00:20:01,140
+بعد ما اشتغلنا نفس الطريقة طلعنا على البسط في
+
+208
+00:20:01,140 --> 00:20:07,940
+المعادلتين اللي هو أساسا المقام في المعادلتين A1B2
+
+209
+00:20:07,940 --> 00:20:10,800
+-A2B1
+
+210
+00:20:28,250 --> 00:20:33,670
+و هدولة هم اقطار او تمام المصحوفة اللي موجودين
+
+211
+00:20:33,670 --> 00:20:36,570
+عندى يعني لو انا المصحوفة هدى بدي امثلها في متغير
+
+212
+00:20:36,570 --> 00:20:39,650
+المعادلة
+
+213
+00:20:39,650 --> 00:20:48,510
+تبعتى هدى هتكتب D1 D2 تساوي A1
+
+214
+00:20:48,510 --> 00:20:59,490
+B1 A2 B2 مضروبة في X و Yبتنفع عملية الضرب هادية
+
+215
+00:20:59,490 --> 00:21:03,130
+كامل احنا
+
+216
+00:21:03,130 --> 00:21:06,510
+حكينا من البداية في المصفوفات عشان تكون عملية
+
+217
+00:21:06,510 --> 00:21:13,710
+الضرب صحيحة عدد احمدة الاولى تساوي عدد صفوف
+
+218
+00:21:13,710 --> 00:21:20,510
+التانية هذه المصفوفة اتنين في اتنين وهذه اتنين في
+
+219
+00:21:20,510 --> 00:21:27,290
+واحد الناتج هيكون اتنين في واحدباخد الصف الأول في
+
+220
+00:21:27,290 --> 00:21:32,430
+العمود الأول وبحصل على النتيجة الآن لما أنا بتكلم
+
+221
+00:21:32,430 --> 00:21:35,090
+على ال determinant اللي هو موضوع محاضرتنا اليوم
+
+222
+00:21:35,090 --> 00:21:42,570
+المحدد هي قيمة مشتقة من square matrix من مصفوفة
+
+223
+00:21:42,570 --> 00:21:45,730
+مربعة هي المصفوفة المربعة عندي الآن اللي هي مين
+
+224
+00:21:45,730 --> 00:21:54,550
+المعاملات تبعت X وY في المعادلتين A1 B1 A2 B2
+
+225
+00:21:56,320 --> 00:21:59,180
+في الـ Determinant بيقول إيه؟ القيمة اللي هي
+
+226
+00:21:59,180 --> 00:22:03,700
+المفروض في المقام عفوا يا شباب هي عبارة عن حاصل
+
+227
+00:22:03,700 --> 00:22:09,820
+ضرب على أصل القطر الرئيسي مقروح منهم على أصل القطر
+
+228
+00:22:09,820 --> 00:22:14,200
+الثانوي A1
+
+229
+00:22:14,200 --> 00:22:22,300
+في B2 ماقص A2 في B1 هذا الـ Determinant طب الـ
+
+230
+00:22:22,300 --> 00:22:24,020
+Determinant كيف بده أستخدمه في الحل؟
+
+231
+00:22:33,260 --> 00:22:42,040
+بناء على المعادلات الصادقة هذه يا شباب بقدر
+
+232
+00:22:42,040 --> 00:22:47,180
+اقول ان ال X تساوي D1
+
+233
+00:22:47,180 --> 00:22:58,840
+في B2 ناجس D2 في B1 على A1 في B2 مش هي هذه
+
+234
+00:22:58,840 --> 00:23:00,120
+المعادلات اللي احنا جيبناها هي
+
+235
+00:23:03,650 --> 00:23:08,210
+تعالى مرة تانى نرجع للمعادلة تبعتنا هاد كانت في
+
+236
+00:23:08,210 --> 00:23:14,130
+عند المعادلة دي واحد تساوي a واحد x زائد b واحد في
+
+237
+00:23:14,130 --> 00:23:22,990
+y دي اتنين تساوي a اتنين x زائد b اتنين في y طب
+
+238
+00:23:22,990 --> 00:23:25,710
+هاد المعادلة هاد المحدد المصفوف المربع هاد من وين
+
+239
+00:23:25,710 --> 00:23:31,460
+اجت؟ جالك عشان تجيب قيمة xفي البسط يجب أن تتجاهل
+
+240
+00:23:31,460 --> 00:23:36,860
+الـ coefficient تبع الـ X و تبني مصفوفة مربعة من
+
+241
+00:23:36,860 --> 00:23:44,660
+الـ D و ال coefficient تبع ال Y وعشان
+
+242
+00:23:44,660 --> 00:23:49,900
+تجيب قيمة Y ال determinant اللي في البسط يجب أن
+
+243
+00:23:49,900 --> 00:23:53,940
+تتمد على ال coefficient تبع ال X يعني بنجو سيم ده
+
+244
+00:23:53,940 --> 00:23:58,120
+كتنش ال coefficient تبع ال Y مين coefficient ال Y؟
+
+245
+00:23:59,280 --> 00:24:04,020
+الـB1 وB2 اللي موجود في الـBus تبع الـY؟ لأ يعني
+
+246
+00:24:04,020 --> 00:24:09,400
+لاحظ بحيث هي الجزئية الآن بدي X معاكته أنا هدول مع
+
+247
+00:24:09,400 --> 00:24:20,080
+هدول D1 B1 D2 B2 على الـ
+
+248
+00:24:20,080 --> 00:24:26,040
+coefficient تبعت المعادلة A1 B1 A2 B2 هذه قيمة X
+
+249
+00:24:27,820 --> 00:24:34,980
+الـ Determinant ثابت المحدد اللي تحت الـ Y يساوي
+
+250
+00:24:34,980 --> 00:24:39,360
+انسى المعاملات تبع الـ Y و اعتمد على المعاملات
+
+251
+00:24:39,360 --> 00:24:49,380
+الداخلية D1 D2 A1 A2 و الكو او المقارنة كما هو A1
+
+252
+00:24:49,380 --> 00:24:52,440
+A2 B1 B2
+
+253
+00:24:58,100 --> 00:25:06,700
+لش صح مافيش مشكلة صح صح صح صح صح صح صح صح صح صح صح
+
+254
+00:25:06,700 --> 00:25:07,780
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+255
+00:25:07,780 --> 00:25:08,200
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+256
+00:25:08,200 --> 00:25:10,520
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+257
+00:25:10,520 --> 00:25:11,340
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+258
+00:25:11,340 --> 00:25:14,520
+صح صح صح صح صح صح صح صح صح صح صح
+
+259
+00:25:21,160 --> 00:25:25,820
+تنين دي واحد دي اتنين انت فعليا بتعوض مكان ال
+
+260
+00:25:25,820 --> 00:25:29,820
+coefficient تبع ال X بقيا مين بال دي واي بال دي
+
+261
+00:25:29,820 --> 00:25:37,920
+واحد دي اتنين الان هذا القانون اشبه
+
+262
+00:25:37,920 --> 00:25:42,960
+القانون مين يا شباب ال sign rule اذا الان بمجرد
+
+263
+00:25:42,960 --> 00:25:48,040
+انا اشوف المعادلةأصبح بإمكاني .. أصبح بإمكاني أن
+
+264
+00:25:48,040 --> 00:25:52,000
+أعمل ratio و أقدر أجيب القيم اللي موجودة تعالى
+
+265
+00:25:52,000 --> 00:26:09,160
+نشوف فعليا كيف بدي أحل المسألة بالشكل هذا الان
+
+266
+00:26:09,160 --> 00:26:10,400
+قيمة ال X
+
+267
+00:26:14,590 --> 00:26:19,650
+تبعت ال X و
+
+268
+00:26:19,650 --> 00:26:27,830
+بستبدلها بال D سبعة و عشرة و اتنين و اربعة الان
+
+269
+00:26:27,830 --> 00:26:31,970
+بدي اقنش ال coefficient و حط مكانه مين تلاتة و
+
+270
+00:26:31,970 --> 00:26:40,050
+اتنين و بعدين سبعة و عشرة اتسلام
+
+271
+00:26:42,060 --> 00:26:49,840
+ليه شكلته؟ لأننا جسمنا هذه المعادلات مظبوط؟ الآن
+
+272
+00:26:49,840 --> 00:26:53,920
+الـBest او عفر المقام واحد هو الـdeterminant تبعنا
+
+273
+00:26:53,920 --> 00:27:00,720
+والـBest مختلف بحيث انه تم تحييض ال coefficient
+
+274
+00:27:00,720 --> 00:27:04,700
+تبع المعامل X واحتمال اتفاعل المعامل تبع ال Y بين
+
+275
+00:27:04,700 --> 00:27:09,750
+بُسين هذه كانت المعادلة اللي عنديالـ determinant
+
+276
+00:27:09,750 --> 00:27:12,750
+واحد .. ال determinant واحد .. مصبور؟ أنا الآن بدي
+
+277
+00:27:12,750 --> 00:27:16,810
+أخلص أو بدي أوجد علاقة .. بدي أروح أساوي ضرب ..
+
+278
+00:27:16,810 --> 00:27:21,170
+أعمل ضرب تبادلي .. بتصير هذه في المقام .. مصبور؟ و
+
+279
+00:27:21,170 --> 00:27:25,130
+بتصير واحد على ال determinant .. واحد على القيمة
+
+280
+00:27:25,130 --> 00:27:28,830
+هذه .. واحد على القيمة اللي موجودة عندي هنا ..
+
+281
+00:27:28,830 --> 00:27:32,630
+وبالتالي لازم أنا أغير في القيم حسب المعادلة اللي
+
+282
+00:27:32,630 --> 00:27:36,450
+موجودةالان جداش قيمة المعادلة يا شباب ال
+
+283
+00:27:36,450 --> 00:27:41,950
+determinant هان هدى x على تمانية عشرين ناقص عشرين
+
+284
+00:27:41,950 --> 00:27:51,090
+تمانية تلاتين ناقص اربعة اتاش واحد
+
+285
+00:27:51,090 --> 00:27:57,050
+على تمانية x تساوي x على تمانية تساوي واحد على
+
+286
+00:27:57,050 --> 00:28:03,930
+تمانية يعني x تساوي واحدY على ستة عشر تساوي واحد
+
+287
+00:28:03,930 --> 00:28:09,950
+على تمانية هذا بيقدي ان ال Y تساوي ستة عشر على
+
+288
+00:28:09,950 --> 00:28:27,650
+تمانية تساوي اتنين تمام طيب كمان مسألة ماشي
+
+289
+00:28:27,650 --> 00:28:29,170
+خليه تطلع فيه براحتك
+
+290
+00:28:37,850 --> 00:28:49,250
+Anyway جمبوا عينيكم عشان انا متشوفوش X على 11 5 1
+
+291
+00:28:49,250 --> 00:29:05,090
+1 أصبت X على 11 5 1 1 تساوي Y علىاربعة و واحد و
+
+292
+00:29:05,090 --> 00:29:12,790
+احد و خمسة تساوي واحد على اربعة
+
+293
+00:29:12,790 --> 00:29:21,390
+واحد واحد واحد وتساوي تمام X على احداش نقص خمسة
+
+294
+00:29:21,390 --> 00:29:30,230
+ستة احداش واحد نقص خمسة و Y تساوي عشرين نقص احداش
+
+295
+00:29:30,230 --> 00:29:41,790
+تسعةأربعة ناقص واحد تلاتة X على ستة تساوي واحد على
+
+296
+00:29:41,790 --> 00:29:48,630
+تلاتة معناته X تساوي ستة على تلاتة تساوي اتنين Y
+
+297
+00:29:48,630 --> 00:29:55,050
+على تسعة تساوي واحد على تلاتة Y تساوي تسعة على
+
+298
+00:29:55,050 --> 00:29:58,070
+تلاتة تلاتة
+
+299
+00:29:59,720 --> 00:30:02,620
+لاحظوا ان لما اتعرفت على ال determinant المسألة
+
+300
+00:30:02,620 --> 00:30:09,440
+بطلت .. بطلت انا محتاج فعليا اروح اثبتها رياضيا او
+
+301
+00:30:09,440 --> 00:30:13,120
+اروح للمعادلات الجبرية و ابدأ اعوض فيها فصار ال
+
+302
+00:30:13,120 --> 00:30:17,580
+determinant بقول اتفضل يعني بس مسألة حساب بوصل
+
+303
+00:30:17,580 --> 00:30:25,390
+لمين للحل اللي موجود عندهالو ايش؟ اكيد يا أستاذ
+
+304
+00:30:25,390 --> 00:30:29,810
+الان احنا بدينا بالطريقة التقليدية تمام اللي ممكن
+
+305
+00:30:29,810 --> 00:30:34,190
+يكون فيها مشكلة لأنه مافيش فيها قانون ثابت الان
+
+306
+00:30:34,190 --> 00:30:38,310
+اللي بنتكلم عليه هان انه انا صار في عندي طريقة
+
+307
+00:30:38,310 --> 00:30:42,430
+ثابتة موحدة لكل المعادلات من الدرجة الأولى اللي
+
+308
+00:30:42,430 --> 00:30:47,710
+فيها متغيرين اقدر اجيب ايش القيم تبع المتغيرات بكل
+
+309
+00:30:47,710 --> 00:30:50,890
+بساطة اللي انا وانت وهو وغيرنا نشتغل على طريقة
+
+310
+00:30:50,890 --> 00:30:58,850
+واحدة نعملا تنحلش كيف بتنحل؟ كيف بتنحل؟ الان
+
+311
+00:30:58,850 --> 00:31:00,870
+المعادل .. زميل اللي بيسأل عن المعادل اللي في
+
+312
+00:31:00,870 --> 00:31:14,030
+الأول شباب هادي ال 7 و 14 هذي
+
+313
+00:31:14,030 --> 00:31:19,300
+مستحيل تنحل لأنه معادلة واحدة اللي عندكتمام؟ نعم؟
+
+314
+00:31:19,300 --> 00:31:23,880
+بس مباعة فاتعة احنا قولنا ان هذا ال example مخادع
+
+315
+00:31:23,880 --> 00:31:29,760
+غير ناجح لأنه فعليا ماوجبنيش معلومات جديدة نعم كده
+
+316
+00:31:29,760 --> 00:31:33,460
+هتحل يا صاحبي إذا الأساس .. أساس الرياضيات و
+
+317
+00:31:33,460 --> 00:31:38,660
+المعادلات محلتهاش القانون السابق يا شباب اللي احنا
+
+318
+00:31:38,660 --> 00:31:41,460
+عرضناه تبع ال determinant من ال one and banana مش
+
+319
+00:31:41,460 --> 00:31:46,010
+بناء على نفس الفكرةان انا ضربت المعادلة الأولى في
+
+320
+00:31:46,010 --> 00:31:50,410
+2 وضربت المعادلة الثانية في 3 ضربت المعادلة الأولى
+
+321
+00:31:50,410 --> 00:31:54,630
+في B1 وضربت المعادلة الثانية في B2 ضربت المعادلة
+
+322
+00:31:54,630 --> 00:31:56,930
+الأولى في B2 وضربت المعادلة الثانية في B1 واختصرت
+
+323
+00:31:56,930 --> 00:32:01,090
+لحد ما وصلت لل determinant فطبيعي هذا هو الأساس
+
+324
+00:32:01,090 --> 00:32:06,670
+الشغل التعويض هذا هذا هو الأساس لكن احنا كمان مرة
+
+325
+00:32:06,670 --> 00:32:10,170
+لأن مش كنا على نفس القدرة في التعامل مع رياضيات
+
+326
+00:32:11,220 --> 00:32:13,920
+فأقول لك إيه؟ في عندنا قانون ثابت للجميع بتقدر
+
+327
+00:32:13,920 --> 00:32:23,800
+تطبق عليه تعالى نشوفك بالتوصق .. نعم .. شباب طول
+
+328
+00:32:23,800 --> 00:32:29,480
+ما أنت كل حياتك فقط لاختبار عمو كاش بتقدم أنا
+
+329
+00:32:29,480 --> 00:32:34,260
+قلتلك مئة مرة بقى لزمكاش الطريقة معينة إلا لو أنا
+
+330
+00:32:34,260 --> 00:32:36,560
+معنى كنت بالطريقة اللي هيبقى قولك استخدم الطريقة
+
+331
+00:32:36,560 --> 00:32:39,420
+الفلانية عادة بالنسبة لي بسيب المجال مفتوح
+
+332
+00:32:44,380 --> 00:32:55,540
+فيما يتعلق بالمسألة الأخيرة هي لغة
+
+333
+00:32:55,540 --> 00:33:00,740
+المثال اللي احنا بنتكلم عليه طبعا هذه المسألة ممكن
+
+334
+00:33:00,740 --> 00:33:05,740
+تنحل بال determinant مستحيل مانحلتش معانا رياضيا
+
+335
+00:33:05,740 --> 00:33:10,380
+تعالي شوف ايش اللي هيحصل عندك يا شباب تعالي تكلمي
+
+336
+00:33:10,380 --> 00:33:14,690
+على ال determinantتعالى اتكلم على ال determinant X
+
+337
+00:33:14,690 --> 00:33:25,330
+على 6 اتناش واحد و اتنين تساوي Y على اربعة تمانية
+
+338
+00:33:25,330 --> 00:33:36,250
+ستة و اتناش واحد على اربعة تمانية واحد و اتنينصفر
+
+339
+00:33:36,250 --> 00:33:43,950
+ال bus المقام صفر و المقام صفر و المقام صفر طب قسم
+
+340
+00:33:43,950 --> 00:33:48,110
+على صفر يا شباب انه غير معرفة كيف هي بتشتغل مستحيل
+
+341
+00:33:48,110 --> 00:33:55,270
+ثمان مرة الأساس ان هذي و هذي هم معادلة واحدة هذولا
+
+342
+00:33:55,270 --> 00:33:59,070
+.. اتطلع
+
+343
+00:33:59,070 --> 00:34:02,590
+في ال coefficients اللي موجودين اتطلع في ال
+
+344
+00:34:02,590 --> 00:34:08,270
+coefficients اللي موجودينخلاص إذا الآن هذه اتنين
+
+345
+00:34:08,270 --> 00:34:11,710
+وهذه اتنين وهذه اتنين جسمها اتنين نهايتها هتطلع
+
+346
+00:34:11,710 --> 00:34:16,530
+ستة اربع اكس زائد واي نفس المعادلة out تمام يا
+
+347
+00:34:16,530 --> 00:34:18,270
+شباب؟ خلصنا مع هذا يا عبد الحسن
+
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/3ZEkdzz4D-M_raw.json b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/3ZEkdzz4D-M_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..efe0f8f530c2157406e53e2b43496dee4939b0a8
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/3ZEkdzz4D-M_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4913, "start": 20.75, "end": 49.13, "text": "بسم الله والحمد لله والصلاة والسلام على رسول الله اليوم ان شاء الله يا شباب هنبدأ مع عنوان جديد اللي هو ال determinant او المحددات ال .. طبعا الموضوع له علاقة بالمصففات تمام؟ لكن له علاقة بحل المعادلات الرياضية من قبل واحنا هنبقى يعني شيء بسيط اللي بدنا الموضوع مش هنخوض فيه تفاصيل واتباتات كتيرة لكن ضروري جدا", "tokens": [3555, 38251, 21984, 16070, 35571, 3215, 24976, 3224, 16070, 9381, 15040, 3660, 16070, 3794, 37440, 15844, 12602, 3794, 12610, 21984, 45595, 20498, 16472, 13412, 16606, 21984, 35186, 13412, 3555, 16758, 8032, 1863, 44510, 10721, 20449, 18871, 2407, 7649, 10874, 16254, 3215, 13672, 1829, 31439, 2423, 41296, 1975, 2407, 9673, 24401, 3215, 9307, 2423, 4386, 23032, 3555, 3615, 995, 9673, 2407, 11242, 45367, 46740, 11203, 995, 28671, 20666, 2304, 9381, 5172, 5172, 9307, 46811, 10943, 22807, 44381, 46740, 11203, 995, 28671, 4724, 5016, 1211, 9673, 3615, 18513, 1211, 9307, 2423, 16572, 46958, 10632, 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على", "probability": 0.56396484375}, {"start": 22.33, "end": 22.59, "word": " رسول", "probability": 0.9881184895833334}, {"start": 22.59, "end": 22.77, "word": " الله", "probability": 0.93017578125}, {"start": 22.77, "end": 23.97, "word": " اليوم", "probability": 0.8544921875}, {"start": 23.97, "end": 24.07, "word": " ان", "probability": 0.63671875}, {"start": 24.07, "end": 24.21, "word": " شاء", "probability": 0.975341796875}, {"start": 24.21, "end": 24.21, "word": " الله", "probability": 0.927734375}, {"start": 24.21, "end": 24.37, "word": " يا", "probability": 0.6181640625}, {"start": 24.37, "end": 24.55, "word": " شباب", "probability": 0.9853515625}, {"start": 24.55, "end": 26.67, "word": " هنبدأ", "probability": 0.9254150390625}, {"start": 26.67, "end": 27.39, "word": " مع", "probability": 0.994140625}, {"start": 27.39, "end": 27.69, "word": " عنوان", "probability": 0.9534505208333334}, {"start": 27.69, "end": 28.29, "word": " جديد", "probability": 0.9856770833333334}, {"start": 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تلاتة في تلاتة بينفعش أصبر شوية طيب لو أنا عملت هذه هيك تلاتة خمسة هذه صارت تلاتة في اتنين بينفعش ما؟ برضه لا لأنه عدد الأعمد مختلفة تمام؟ لما آجي أتكلم يا شباب على ضرب مصفف تين", "tokens": [2407, 29538, 6055, 1211, 9307, 3660, 8978, 6055, 1211, 9307, 3660, 4724, 9957, 5172, 3615, 8592, 5551, 9381, 26890, 13412, 2407, 10632, 23032, 1829, 3555, 45164, 41850, 6225, 42213, 2655, 29538, 39896, 4117, 6055, 1211, 9307, 3660, 16490, 2304, 3794, 3660, 29538, 20328, 9640, 2655, 6055, 1211, 9307, 3660, 8978, 1975, 2655, 1863, 9957, 4724, 9957, 5172, 3615, 8592, 19446, 22807, 4724, 43042, 3224, 20193, 5296, 33456, 3224, 6225, 3215, 3215, 16247, 25957, 3215, 3714, 46456, 46538, 3660, 46811, 10943, 22807, 5296, 15042, 19753, 7435, 1829, 5551, 2655, 4117, 19528, 35186, 13412, 3555, 16758, 15844, 48812, 25513, 3714, 9381, 5172, 5172, 6055, 9957], "avg_logprob": -0.15715144832546896, "compression_ratio": 1.8222222222222222, "no_speech_prob": 1.5497207641601562e-06, "words": [{"start": 261.31, "end": 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[9778, 1211, 33546, 11933, 15730, 6024, 48506, 29538, 1975, 2655, 1863, 9957, 37037, 24192, 1975, 2655, 1863, 9957, 37037, 24192, 1975, 2655, 1863, 9957, 10874, 38251, 11296, 1975, 2655, 1863, 9957, 8717, 11296, 36081, 11296, 8032, 2655, 9566, 1211, 3615, 8608, 2655, 3660, 1975, 25513, 3615, 1975, 4117, 3794, 30767, 16373, 3215, 36764, 1829, 8717, 36178, 9673, 3615, 18513, 37977, 484, 46811, 10943, 35186, 13412, 3555, 16758, 22807, 16490, 1211, 9381, 8315, 20449, 23758, 35186, 6225, 44510, 21542, 3794, 1863], "avg_logprob": -0.27179782773241584, "compression_ratio": 1.729032258064516, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 2045.69, "end": 2046.19, "word": "خلاص", "probability": 0.8509114583333334}, {"start": 2046.19, "end": 2046.73, "word": " إذا", "probability": 0.77392578125}, {"start": 2046.73, "end": 2047.07, "word": " الآن", "probability": 0.6680908203125}, {"start": 2047.07, "end": 2047.67, "word": " هذه", "probability": 0.630859375}, {"start": 2047.67, "end": 2048.27, "word": " اتنين", "probability": 0.8018798828125}, {"start": 2048.27, "end": 2048.67, "word": " وهذه", "probability": 0.83544921875}, {"start": 2048.67, "end": 2048.99, "word": " اتنين", "probability": 0.975830078125}, {"start": 2048.99, "end": 2049.23, "word": " وهذه", "probability": 0.878662109375}, {"start": 2049.23, "end": 2049.63, "word": " اتنين", "probability": 0.986572265625}, {"start": 2049.63, "end": 2051.01, "word": " جسمها", "probability": 0.8966471354166666}, {"start": 2051.01, "end": 2051.23, "word": " اتنين", "probability": 0.9063720703125}, {"start": 2051.23, "end": 2051.45, "word": " نهايتها", "probability": 0.65423583984375}, {"start": 2051.45, "end": 2051.71, "word": " هتطلع", "probability": 0.769677734375}, {"start": 2051.71, "end": 2052.11, "word": " ستة", "probability": 0.6371256510416666}, {"start": 2052.11, "end": 2052.45, "word": " اربع", "probability": 0.7648111979166666}, {"start": 2052.45, "end": 2052.75, "word": " اكس", "probability": 0.731689453125}, {"start": 2052.75, "end": 2052.97, "word": " زائد", "probability": 0.6495768229166666}, {"start": 2052.97, "end": 2053.23, "word": " واي", "probability": 0.822021484375}, {"start": 2053.23, "end": 2053.49, "word": " نفس", "probability": 0.94091796875}, {"start": 2053.49, "end": 2054.09, "word": " المعادلة", "probability": 0.9908447265625}, {"start": 2054.09, "end": 2054.67, "word": " out", "probability": 0.5888671875}, {"start": 2054.67, "end": 2056.43, "word": " تمام", "probability": 0.94677734375}, {"start": 2056.43, "end": 2056.53, "word": " يا", "probability": 0.72607421875}, {"start": 2056.53, "end": 2057.01, "word": " شباب؟", "probability": 0.82568359375}, {"start": 2057.01, "end": 2057.67, "word": " خلصنا", "probability": 0.87109375}, {"start": 2057.67, "end": 2057.77, "word": " مع", "probability": 0.319091796875}, {"start": 2057.77, "end": 2057.87, "word": " هذا", "probability": 0.76806640625}, {"start": 2057.87, "end": 2057.97, "word": " يا", "probability": 0.39208984375}, {"start": 2057.97, "end": 2058.01, "word": " عبد", "probability": 0.5284423828125}, {"start": 2058.01, "end": 2058.27, "word": " الحسن", "probability": 0.7664388020833334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2058.4954375, "duration_after_vad": 1938.0243749999947}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/3ZEkdzz4D-M_raw.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/3ZEkdzz4D-M_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d0647d8558cdc13a6043060376493ac33932f9c5
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/3ZEkdzz4D-M_raw.srt
@@ -0,0 +1,1392 @@
+1
+00:00:20,750 --> 00:00:22,770
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:22,770 --> 00:00:28,550
+اليوم ان شاء الله يا شباب هنبدأ مع عنوان جديد اللي
+
+3
+00:00:28,550 --> 00:00:34,230
+هو ال determinant او المحددات ال .. طبعا الموضوع
+
+4
+00:00:34,230 --> 00:00:39,070
+له علاقة بالمصففات تمام؟ لكن له علاقة بحل
+
+5
+00:00:39,070 --> 00:00:42,870
+المعادلات الرياضية من قبل واحنا هنبقى يعني شيء
+
+6
+00:00:42,870 --> 00:00:45,850
+بسيط اللي بدنا الموضوع مش هنخوض فيه تفاصيل
+
+7
+00:00:45,850 --> 00:00:51,470
+واتباتات كتيرة لكن ضروري جدالأن الموضوع عملية حساء
+
+8
+00:00:51,470 --> 00:00:55,410
+رياضيات وبعض الألجيبرا ضرورة تشغل دماغك معايا في
+
+9
+00:00:55,410 --> 00:00:58,130
+محاضرة اليوم مش طويلة محاضرتنا ان شاء الله تعالى
+
+10
+00:00:58,130 --> 00:01:01,510
+كنهم خمستاشر ستاشر او سبعتاشر slide اليوم ان شاء
+
+11
+00:01:01,510 --> 00:01:07,750
+الله بص ساعت زمان الله أعلمالـ Determinant لما
+
+12
+00:01:07,750 --> 00:01:11,670
+تسمع كلمة الـ Determinant المحدد معناته أنا بتكلم
+
+13
+00:01:11,670 --> 00:01:17,890
+على Value بتكلم على Value قيمة ايش القيمة هذه؟ هذه
+
+14
+00:01:17,890 --> 00:01:24,450
+القيمة لازم او هيتم اشتقاقها من مصفوفة مربعة الـ
+
+15
+00:01:24,450 --> 00:01:29,390
+Determinant هي قيمة مشتقة من مصفوفة مربعة خلينا
+
+16
+00:01:29,390 --> 00:01:32,670
+أول حاجة نجفن شو يعني مصفوفة مربعة يا شباب؟
+
+17
+00:01:32,670 --> 00:01:38,330
+بتعرفوا المصفوفات؟ طيب تمامالان لما انا باتكلم على
+
+18
+00:01:38,330 --> 00:01:42,010
+مصفوفة باتكلم على more than one value اكتر من قيمة
+
+19
+00:01:42,010 --> 00:01:47,730
+واحدة موجودين مع بعض الان المصفوفات جرت العدب
+
+20
+00:01:47,730 --> 00:01:56,330
+نكتبهم بالشكل هذا والمصفوفة تشكل من الصفوف والاعنب
+
+21
+00:01:57,820 --> 00:02:02,920
+تمام؟ واحنا بنقول رطبة المصفوفة رطبتها .. رطبة
+
+22
+00:02:02,920 --> 00:02:08,220
+المصفوفة جديش فيها صفوف جديش فيها أعمدة لما بنقول
+
+23
+00:02:08,220 --> 00:02:13,800
+مصفوفة مربعة بيكون عدد الصفوف يساوي عدد الأعمدة
+
+24
+00:02:13,800 --> 00:02:26,440
+الآن لو أنا اجيت في المصفوفة كتابة A B C D E F G H
+
+25
+00:02:27,110 --> 00:02:34,950
+I الان هذه المصفوفة تلت صفوف تلاتة في تلاتة و تلت
+
+26
+00:02:34,950 --> 00:02:41,530
+أعمدة يعني هذه المصفوفة مصفوفة مربعة الان في شغل
+
+27
+00:02:41,530 --> 00:02:46,850
+مهم مع كل مصفوفة أي نقطة في المصفوفة يا شباب تمثل
+
+28
+00:02:46,850 --> 00:02:52,430
+او تحدد باسم المصفوفة وليكن اسمها ايه تمام لما
+
+29
+00:02:52,430 --> 00:02:55,670
+باجي بقول ايه واحد واحد
+
+30
+00:02:58,030 --> 00:03:02,070
+المقصود فيها القيمة المخزنة أو متواجدة في الصف
+
+31
+00:03:02,070 --> 00:03:09,410
+الأول في العمود الأول A13 دائما
+
+32
+00:03:09,410 --> 00:03:14,850
+بقدم الصف على العمود دائما بقدم الصف على العمود
+
+33
+00:03:14,850 --> 00:03:22,490
+تمام إذا أنا بدي أجمع مصففتين لازم يكونوا من نفس
+
+34
+00:03:22,490 --> 00:03:28,280
+الرتبةإذا أنا بدي أجمع مصفوفتين مع بعض لازم يكونوا
+
+35
+00:03:28,280 --> 00:03:31,120
+من نفس الرقبة مابينفعش أروح أقول أنا عندي مصفوفة
+
+36
+00:03:31,120 --> 00:03:37,860
+واحد اتنين تلاتة أربعة واحد اتنين تلاتة أربعة خمسة
+
+37
+00:03:37,860 --> 00:03:41,700
+ستة سبعة تمانية تسعة وأقول بدي أجمع المصفوفتين
+
+38
+00:03:41,700 --> 00:03:47,900
+هدول ولا بينفعني أضربهم هلأ قلت بقولك ليش الان
+
+39
+00:03:47,900 --> 00:03:50,740
+قليلا أتكلم بس على الجامعة معلومات عامة الآن في
+
+40
+00:03:50,740 --> 00:03:55,490
+المصفوفاتكمان مرة المصفوفة مشكلة من مجموعة من
+
+41
+00:03:55,490 --> 00:03:59,870
+الصفوف والأعمدة وبنقول عنها رتبة المصفوفة الان
+
+42
+00:03:59,870 --> 00:04:04,490
+المصفوفة مربعة لو كانت عدد الصفوف تساوي عدد
+
+43
+00:04:04,490 --> 00:04:10,030
+الأعمدة ال determinant هي عبارة عن value مشتق من
+
+44
+00:04:10,030 --> 00:04:13,890
+المصفوفة المربعة الان بيجتج مع مصفوفتين لازم
+
+45
+00:04:13,890 --> 00:04:19,070
+يكونوا من نفس الرتبة صفوف وأعمدة هدول هذين اجمع
+
+46
+00:04:19,070 --> 00:04:24,110
+المصفوفتين هذين اتنين في اتنينو هذه تلاتة في تلاتة
+
+47
+00:04:24,110 --> 00:04:32,730
+بينفعش أصبر شوية طيب لو أنا عملت هذه هيك تلاتة
+
+48
+00:04:32,730 --> 00:04:36,790
+خمسة هذه صارت تلاتة في اتنين بينفعش ما؟ برضه لا
+
+49
+00:04:36,790 --> 00:04:43,770
+لأنه عدد الأعمد مختلفة تمام؟ لما آجي أتكلم يا شباب
+
+50
+00:04:43,770 --> 00:04:51,980
+على ضرب مصفف تينضرب مصفوفتين لازم تكون عدد الأعمدة
+
+51
+00:04:51,980 --> 00:04:58,340
+في الأولى تساوي عدد الصفوف في الثانية يعني الآن
+
+52
+00:04:58,340 --> 00:05:09,880
+هذه المصفوفة M في N بدي أضربها في مصفوفة M في R
+
+53
+00:05:09,880 --> 00:05:20,160
+تمام الناتج هيكون مصفوفةان عدد صفوف الأولى وعدد
+
+54
+00:05:20,160 --> 00:05:25,300
+أعمدت التانية تمام يا شباب فلازم يكون عدد صفوف او
+
+55
+00:05:25,300 --> 00:05:32,120
+عفوا عدد نعم عدد أعمدت الأولى تساوي عدد صفوف
+
+56
+00:05:32,120 --> 00:05:37,020
+التانية هذا بيعني ان عملية الضرب في المصفوفات
+
+57
+00:05:37,020 --> 00:05:41,220
+عملية غير إبدالية إلا لو كانت مصفوفتين square ومن
+
+58
+00:05:41,220 --> 00:05:48,630
+نفس الرتبة أسبوب تمامالان اذا احتجناها في حين اخر
+
+59
+00:05:48,630 --> 00:05:55,190
+هنعيد المعلومات الـ determinant اللي هو موضوع
+
+60
+00:05:55,190 --> 00:05:58,550
+محاضرتنا او موضوع الشفتر هذا هو عبارة عن value
+
+61
+00:05:58,550 --> 00:06:06,610
+قيمة سبعتاش عشرين تلاتة و نص ربع من I حسب مشتقة من
+
+62
+00:06:06,610 --> 00:06:13,190
+صفوفة مربعةوعادة يا شباب لما انا بتكلم على ال
+
+63
+00:06:13,190 --> 00:06:17,090
+determinant معناته بتكلم على ارتباط المصفوفة
+
+64
+00:06:17,090 --> 00:06:21,870
+بمجموعة من المعادلات مجموعة من المعادلات الجبرية
+
+65
+00:06:21,870 --> 00:06:25,190
+موضوع
+
+66
+00:06:25,190 --> 00:06:30,210
+ال determinant قديم البابليين القدماء تلتمية سنة
+
+67
+00:06:30,210 --> 00:06:35,890
+قبل الميلاد كانوا بيتكلموا عليه المصفوفات
+
+68
+00:06:35,890 --> 00:06:40,160
+وال determinant والشغلات هاي تعالى نشوفأنا one
+
+69
+00:06:40,160 --> 00:06:44,200
+determined انت بتخدمني لو كان في عندي معادلتين
+
+70
+00:06:44,200 --> 00:06:50,480
+شباب رياضيتين سبعة تساوي تلاتة X زائد اتنين Y عشر
+
+71
+00:06:50,480 --> 00:06:54,820
+تساوي اتنين X زائد اربعة Y وسألتك انت غيرت مكانك
+
+72
+00:06:54,820 --> 00:07:03,790
+ليش؟ وسألتك ايش قيمة X وقيمة Y؟عادة الشباب إذا
+
+73
+00:07:03,790 --> 00:07:09,490
+أعطيتك معادلة واحدة فقط فيها متغيرين مستحيل تقدر
+
+74
+00:07:09,490 --> 00:07:14,450
+تجيب لقيمة المتغيرين لكن لو أنا جيت قولتلك سبعة
+
+75
+00:07:14,450 --> 00:07:20,830
+تساوي تلاتة X زائد اتنين هات لقيمة X بتقدر ..
+
+76
+00:07:20,830 --> 00:07:26,710
+بتقدر عشان تجيب قيمة متغيرين بيلزمك على الأقل
+
+77
+00:07:26,710 --> 00:07:32,470
+معادلتينتمام؟ وهذا التفكير بقتوسه كمان شوية في
+
+78
+00:07:32,470 --> 00:07:37,470
+عندي تلت متغيرات عشان الـ3D بالزمن تلت معادلات،
+
+79
+00:07:37,470 --> 00:07:43,790
+تمام؟ طيب، في حالة زي هذه، إيش بدي أسوي؟ التصرف
+
+80
+00:07:43,790 --> 00:07:49,290
+الطبيعي .. التصرف الطبيعي واساسه رياضيات بحته إنه
+
+81
+00:07:49,290 --> 00:07:54,490
+أنا فعليا أحاولأجيب قيمة واحد من المتغيرين
+
+82
+00:07:54,490 --> 00:07:57,990
+الدلالتي التاني و أعوض في المعادلة الأولى بمعنى
+
+83
+00:07:57,990 --> 00:08:03,110
+أجيب من المسألة الأولى هذه هيك ايش اقول انا X بدها
+
+84
+00:08:03,110 --> 00:08:13,230
+تساوي سبعة ناقص اتنين Y على تلاتة لحظة شوية تمام
+
+85
+00:08:13,230 --> 00:08:16,850
+يا شباب مساوتش
+
+86
+00:08:16,850 --> 00:08:18,250
+شيء بس جيبت قيمة X
+
+87
+00:08:29,130 --> 00:08:35,530
+عشرة تساوي اتنين في سبعة نقص اتنين Y على تلاتة
+
+88
+00:08:35,530 --> 00:08:41,390
+زائد اربعة Y صارت المعادلة كلها فيها متغير واحد ال
+
+89
+00:08:41,390 --> 00:08:46,640
+Y صح؟لاحظ يا شباب أنا ماساوتش شديد قاعد بأشتغل
+
+90
+00:08:46,640 --> 00:08:51,540
+بناء على المحاضرات الأولى في الجبر طيب معناته انا
+
+91
+00:08:51,540 --> 00:09:01,880
+في عندي هان اتنين او اربعة عشر ناقص اربع Y على
+
+92
+00:09:01,880 --> 00:09:07,600
+تلاتة زائد اربع Y بتساوي عشرة واحد المقامات هان
+
+93
+00:09:11,950 --> 00:09:19,770
+اربع طعش نقص اربع Y زائد اتناشر Y تساوي عشرة
+
+94
+00:09:19,770 --> 00:09:29,030
+تلاتين تساوي اربع طعش الان عندك اربع Y و اتناشر Y
+
+95
+00:09:29,030 --> 00:09:35,470
+سالب اربع Y يعني تمانية زائد تمانية Y تمانية Y
+
+96
+00:09:35,470 --> 00:09:43,220
+تساوي ستاشر ال Y تساوي اتنينالان بتاخد قيمة Y
+
+97
+00:09:43,220 --> 00:09:48,320
+بتعود في المعادلة الأولى X بيتساوي سبعة ناقص اتنين
+
+98
+00:09:48,320 --> 00:09:57,780
+في اتنين على تلاتة أثبت؟
+
+99
+00:09:57,780 --> 00:10:04,460
+نعم نعم
+
+100
+00:10:08,880 --> 00:10:14,700
+أيه فيهم؟ هذه طيب لما احنا وحد المقام تلاتة تقسيم
+
+101
+00:10:14,700 --> 00:10:18,220
+تلاتة واحد ضربناها في البصط اللي فوق تلاتة تقسيم
+
+102
+00:10:18,220 --> 00:10:23,380
+البقال تبع هذه واحد تلاتة تقسيم واحد تلاتة تلاتة
+
+103
+00:10:23,380 --> 00:10:28,460
+في البصط اللي فوق تلاتة في أربعها حصير اتناشر لان
+
+104
+00:10:28,460 --> 00:10:31,500
+الكلام اللي انت بتقوله كلام صحيح مية في الميةلكن
+
+105
+00:10:31,500 --> 00:10:34,680
+برضه الكلام اللى أنا جاعد بقوله برضه صحيح مافيش
+
+106
+00:10:34,680 --> 00:10:39,440
+مشكلة انا اعتمدت على تحليل بحت للمسألة الرياضية
+
+107
+00:10:39,440 --> 00:10:42,980
+اللى عندي صح؟ بدون ما اروح اضرب و اقسم و اقلح كده
+
+108
+00:10:42,980 --> 00:10:49,340
+لكن ماحدة بيقدر ينكر علي الطريقة هذه لأنها صحيحة
+
+109
+00:10:49,340 --> 00:10:53,490
+ولا خقوة فيهاInvalid كل الخطوات اللي فيها صحيحة
+
+110
+00:10:53,490 --> 00:10:57,210
+وكانت بتسلمني واحدة لتانية وهذا أساس الإثبات
+
+111
+00:10:57,210 --> 00:11:02,050
+الرياضي في كل شيء الآن سمينا بقترح حل زي حل الكتاب
+
+112
+00:11:02,050 --> 00:11:04,810
+اللي موجود على ال slide بقولك بدل ما انا اروح
+
+113
+00:11:04,810 --> 00:11:09,090
+اشتغل هيك طب ليش ما افكر بما ان هو لما يعطيني
+
+114
+00:11:09,090 --> 00:11:15,470
+المعادلتين هدولأحاول أوحّد term من الاتنين يعني
+
+115
+00:11:15,470 --> 00:11:21,130
+هنا في عندى اتنين Y و هنا في عندى اربع Y لو أنا
+
+116
+00:11:21,130 --> 00:11:25,410
+ضربت المعادلتين في اتنين و اطرحتهم من بعض بخلص
+
+117
+00:11:25,410 --> 00:11:29,130
+منين؟ انا عارف لو ضربت الأول باتنين لو ضربت الأول
+
+118
+00:11:29,130 --> 00:11:35,700
+باتنين طبعا اطرحت المعادلتين من بعضبخلص من Y و
+
+119
+00:11:35,700 --> 00:11:39,980
+بجيب قيمة X و بنفس الوجد لو انا فكرت اجيب قيمة ال
+
+120
+00:11:39,980 --> 00:11:45,740
+X أو تمام او خل ال Y تخلص من X بدي اروح اضرب ال 8
+
+121
+00:11:45,740 --> 00:11:49,980
+في 6 على سبيل .. بمش الحال بس ان هذه القيمة تصيب
+
+122
+00:11:49,980 --> 00:11:55,060
+زي هذه يعني بدي اضرب هذه في 2 و اضرب هذه في 3 قيمة
+
+123
+00:11:55,060 --> 00:12:01,210
+حرق مش غلط صح 100% مش غلطشباب اهم شغلة في المعادلة
+
+124
+00:12:01,210 --> 00:12:05,310
+الرياضية اي شغلة بتعملها على الطرف اليمين تقومك
+
+125
+00:12:05,310 --> 00:12:09,230
+على الطرف اليسار انا الان بدي افترض الحل الكتاب
+
+126
+00:12:09,230 --> 00:12:12,370
+مشتغل على الحل الأبسط جالك انا عندي اربعة Y وانا
+
+127
+00:12:12,370 --> 00:12:15,230
+اتنين Y يعني لو ضربت المعادلة الأولى في اتنين
+
+128
+00:12:15,230 --> 00:12:19,130
+باخلص لو انا اجيت قلتلك انا بدي اخلص من .. بدي
+
+129
+00:12:19,130 --> 00:12:25,050
+اخلص من X بديش اخلص من Y مافيش عندي مشكلة بدي اروح
+
+130
+00:12:25,050 --> 00:12:30,010
+ابرب الأولى في اتنينوالمعادلة التانية في تلاتة
+
+131
+00:12:30,010 --> 00:12:36,290
+حصين عندي انا اربع طعش ناقص او تساوي ستة X زائد
+
+132
+00:12:36,290 --> 00:12:46,030
+اربع Y المعادلة التانية تلاتين تساوي ستة X زائد
+
+133
+00:12:46,030 --> 00:12:52,310
+اتناشر Y الان اطرح الاولى من التانية سنة عندك ستة
+
+134
+00:12:52,310 --> 00:12:57,440
+عشراللي هي تلاتين مقص اربعة عشر مظبوط تساوي ستة
+
+135
+00:12:57,440 --> 00:13:04,460
+مقص ستة X صفر زائد اتناش مقص اربعة تمانية Y و Y
+
+136
+00:13:04,460 --> 00:13:09,060
+تساوي ستة عشر على تمانية تساوي اتنين تمام؟ بنفس
+
+137
+00:13:09,060 --> 00:13:13,240
+المنطق اللي احنا بنتكلم عليه جاعدين بغض النظر
+
+138
+00:13:13,240 --> 00:13:17,980
+الشباب ايش القالية اللي انت شفتها؟الأسهل اليك
+
+139
+00:13:17,980 --> 00:13:22,300
+طالما ان قوتك متسلسلة بشكل صحيح مافي حد في الدنيا
+
+140
+00:13:22,300 --> 00:13:29,240
+بيقدر يجون عن حل الغلط تمام الان وصل نجيبنا قيمة y
+
+141
+00:13:29,240 --> 00:13:34,120
+يساوي 2 ايش بتاخدها عوضها في اي مسألة من المسألتين
+
+142
+00:13:34,120 --> 00:13:39,060
+عشان نجيب قيمة x عوض في الأولىسبعة تساوي تلاتة X
+
+143
+00:13:39,060 --> 00:13:44,140
+زائد اتنين في اتنين اربعة سبعة ناقص اربعة تساوي
+
+144
+00:13:44,140 --> 00:13:49,680
+تلاتة X تلاتة تساوي تلاتة X يعني X تساوي واحد في
+
+145
+00:13:49,680 --> 00:13:54,220
+الكتاب جاب ال X الأول هي انا جبت ال Y اي حل
+
+146
+00:13:54,220 --> 00:13:59,640
+بتشتغله مافيش مشكلة تمام؟ في شغل مهم جدا يا شباب
+
+147
+00:13:59,640 --> 00:14:01,820
+في شغل مهم جدا خلّيك معايا
+
+148
+00:14:04,780 --> 00:14:08,920
+ممكن في لحظة من اللحظات يدّيك المعادلتين احنا
+
+149
+00:14:08,920 --> 00:14:14,200
+متفقين الان معادلة واحدة مابتحلش تجيلك متغيرين،
+
+150
+00:14:14,200 --> 00:14:18,600
+مابتديهش قيم متغيرين لو رحت قلتلك انا في عندي
+
+151
+00:14:18,600 --> 00:14:28,140
+اربعة اتناشر تساوي ستة X زائد اربعة Y المعادلة
+
+152
+00:14:28,140 --> 00:14:33,860
+التانيةأديتك معادلتين سبعة
+
+153
+00:14:33,860 --> 00:14:39,140
+يساوي تلاتة X زائد اتنين Y المعادلة التانية اربع
+
+154
+00:14:39,140 --> 00:14:47,650
+تاشت يساوي ستة X زائد اربعة Yأه .. الآن .. الآن
+
+155
+00:14:47,650 --> 00:14:51,750
+المعادلة هذه هي نفس المعادلة السابقة بس مضروبة في
+
+156
+00:14:51,750 --> 00:14:57,590
+2 .. مصبوط؟ بين جوسين مافيش عندى أي معلومة إضافية
+
+157
+00:14:57,590 --> 00:15:01,670
+من أجل حل المسألة .. المسألة دى مش هتحل مطلقا معاك
+
+158
+00:15:01,670 --> 00:15:07,490
+عارف ليش؟ بدك الآن تضرب هذه في 2 عشان تخلص من
+
+159
+00:15:07,490 --> 00:15:12,470
+الأربعة واي .. هتصير كلها أصفر .. هتصير كلها أصفر
+
+160
+00:15:12,470 --> 00:15:17,920
+.. مصبوط؟وبالتالي إذا كنت باه دائما للمعادلة
+
+161
+00:15:17,920 --> 00:15:21,400
+التانية أو المعادلتين ما تكونش واحدة من المضاعفات
+
+162
+00:15:21,400 --> 00:15:29,640
+التانية عشان تقدر تبني حل صحيح وهنا
+
+163
+00:15:29,640 --> 00:15:34,720
+احنا بنسميها fatal example أو unsuccessful example
+
+164
+00:15:36,000 --> 00:15:39,780
+المثال هذا غير ناجح ليش؟ لأنه زي ما قلت قبل شوية
+
+165
+00:15:39,780 --> 00:15:43,800
+هذه مضاعفات ومافيش فيها معلومة جديدة عشان أقدر
+
+166
+00:15:43,800 --> 00:15:49,500
+أبني عليها في الحل بشكل عام شباب شو دخل ال
+
+167
+00:15:49,500 --> 00:15:54,220
+determinant في الموضوع ال determinant يقدم لك حل
+
+168
+00:15:54,220 --> 00:16:00,540
+للمعادلات الرياضية من الدرجة الأولى لبدات متغيرين
+
+169
+00:16:00,540 --> 00:16:06,710
+عادة المعادلات اللي كتبناها سابق أنها يا شبابماخد
+
+170
+00:16:06,710 --> 00:16:14,650
+صورة عامة D1 تساوي الكمية الثابتة A1 في X معامل X
+
+171
+00:16:14,650 --> 00:16:20,030
+التي هي A1 زائد B1 في Y للمعادلة الأولى والمعادلة
+
+172
+00:16:20,030 --> 00:16:29,390
+التانية D2 ضرب A2 في X تساوي A2 في X زائد B2 في Y
+
+173
+00:16:31,840 --> 00:16:39,480
+A1 و A2 نسميهم coefficient معاملات، مظبوط؟ طيب لو
+
+174
+00:16:39,480 --> 00:16:43,840
+أنا بدي أشغل بنفس المنطق السابق، بدي أطرح، شو بدي
+
+175
+00:16:43,840 --> 00:16:52,140
+أسوي؟ بدي أخلص من Y، شو بدي أسوي؟ يا بدي أضرب يا
+
+176
+00:16:52,140 --> 00:16:56,600
+بدي أجسم، و الدرب أسهل من القسمةبصبت؟ عشان هيك انا
+
+177
+00:16:56,600 --> 00:17:00,660
+بدأ أروح باتجاه الدرب انا بدي أخلص من why بدك تقرح
+
+178
+00:17:00,660 --> 00:17:03,880
+مين من مين بدك تقرح المعادلة الأولى من التانية و
+
+179
+00:17:03,880 --> 00:17:10,920
+لا التانية من الأولى انت حر الأد يحقلك في الآخر
+
+180
+00:17:10,920 --> 00:17:16,540
+بدك تاخد المعانل اللي بيؤثر معاك و تروح تضربه في
+
+181
+00:17:16,540 --> 00:17:20,880
+الطرف التاني يعني اذا انا بدي اصل انه واحد ناقص
+
+182
+00:17:20,880 --> 00:17:27,820
+اتنين كمعادلاتطبعا احنا بننصحك تاخد B2 وتضربها 2
+
+183
+00:17:27,820 --> 00:17:31,280
+في المعادلة الأولى الآن هتصير المعادلة الأولى
+
+184
+00:17:31,280 --> 00:17:44,720
+عندها B2 D1 تساوي A1 B2 X زائد B1 B2 Y المعادلة
+
+185
+00:17:44,720 --> 00:17:53,020
+التانية زي ما هي خليها زي ما هي انت الآنلو أنا
+
+186
+00:17:53,020 --> 00:17:56,140
+خلّيتها زي ما هي .. خلّيتها زي ما هي .. إيش حد ..
+
+187
+00:17:56,140 --> 00:18:01,500
+حد جرب راح؟ حد جرب راح؟ لأ، و أنا معاهته لازم شوفت
+
+188
+00:18:01,500 --> 00:18:04,260
+المثال قبل شوية لما كانت تلاتة X و اتنين و .. و
+
+189
+00:18:04,260 --> 00:18:07,620
+اتنين X قولتلك أضرب اللي فوق في الت .. في اتنين و
+
+190
+00:18:07,620 --> 00:18:10,460
+اللي تحت أضربها في تلاتة وبالتالة هان بدي أضرب
+
+191
+00:18:10,460 --> 00:18:15,720
+التانية في B1 الميزة اللي صارت فيه عندي هنا B1 D1
+
+192
+00:18:15,720 --> 00:18:27,270
+تساوي اي عفوا D2 A2 B1 X زائدB1 B2 Y لما انا
+
+193
+00:18:27,270 --> 00:18:31,710
+اطرحهم من بعض انا
+
+194
+00:18:31,710 --> 00:18:40,290
+بأضمن ان ال term عندى راح تمام هتضربنا
+
+195
+00:18:40,290 --> 00:18:46,010
+المعادلة الأولى في B2 والمعادلة التانية في B1 عشان
+
+196
+00:18:46,010 --> 00:18:52,370
+اخلص من ال term Y عشان اخلص منين؟ من قيمة ال Y بعد
+
+197
+00:18:52,370 --> 00:19:01,060
+هيكبدي أنفذ الطرح هتصير عندي D1
+
+198
+00:19:01,060 --> 00:19:12,580
+B2 ناقص D2 B1 تساوي A1 B2 ناقص A2 في B1 كله مضروبة
+
+199
+00:19:12,580 --> 00:19:17,560
+في X هذه المعادلة مظبوط؟
+
+200
+00:19:17,560 --> 00:19:21,720
+الآن
+
+201
+00:19:24,200 --> 00:19:29,120
+هي بعد ما جسّنها قيمة X اللي موجودة عندها و نفس
+
+202
+00:19:29,120 --> 00:19:32,960
+الكلام لو انا بدي اطبقه ل Y شو بدي اساوي؟ لو انا
+
+203
+00:19:32,960 --> 00:19:38,140
+بدي اجيب قيمة Y بدي ادرب .. بدي اخلص منين؟ بدي
+
+204
+00:19:38,140 --> 00:19:45,620
+ادرب المعادلة الأولى في A2 والتانية في A1 عشان لما
+
+205
+00:19:45,620 --> 00:19:48,880
+اطرحهم اخلص منين؟ اخلص من ال X
+
+206
+00:19:54,140 --> 00:19:57,360
+الآن يا شباب لو طلعنا احنا على البسط في المعادلتين
+
+207
+00:19:57,360 --> 00:20:01,140
+بعد ما اشتغلنا نفس الطريقة طلعنا على البسط في
+
+208
+00:20:01,140 --> 00:20:07,940
+المعادلتين اللي هو أساسا المقام في المعادلتين A1B2
+
+209
+00:20:07,940 --> 00:20:10,800
+-A2B1
+
+210
+00:20:28,250 --> 00:20:33,670
+و هدولة هم اقطار او تمام المصحوفة اللي موجودين
+
+211
+00:20:33,670 --> 00:20:36,570
+عندى يعني لو انا المصحوفة هدى بدي امثلها في متغير
+
+212
+00:20:36,570 --> 00:20:39,650
+المعادلة
+
+213
+00:20:39,650 --> 00:20:48,510
+تبعتى هدى هتكتب D1 D2 تساوي A1
+
+214
+00:20:48,510 --> 00:20:59,490
+B1 A2 B2 مضروبة في X و Yبتنفع عملية الضرب هادية
+
+215
+00:20:59,490 --> 00:21:03,130
+كامل احنا
+
+216
+00:21:03,130 --> 00:21:06,510
+حكينا من البداية في المصفوفات عشان تكون عملية
+
+217
+00:21:06,510 --> 00:21:13,710
+الضرب صحيحة عدد احمدة الاولى تساوي عدد صفوف
+
+218
+00:21:13,710 --> 00:21:20,510
+التانية هذه المصفوفة اتنين في اتنين وهذه اتنين في
+
+219
+00:21:20,510 --> 00:21:27,290
+واحد الناتج هيكون اتنين في واحدباخد الصف الأول في
+
+220
+00:21:27,290 --> 00:21:32,430
+العمود الأول وبحصل على النتيجة الآن لما أنا بتكلم
+
+221
+00:21:32,430 --> 00:21:35,090
+على ال determinant اللي هو موضوع محاضرتنا اليوم
+
+222
+00:21:35,090 --> 00:21:42,570
+المحدد هي قيمة مشتقة من square matrix من مصفوفة
+
+223
+00:21:42,570 --> 00:21:45,730
+مربعة هي المصفوفة المربعة عندي الآن اللي هي مين
+
+224
+00:21:45,730 --> 00:21:54,550
+المعاملات تبعت X وY في المعادلتين A1 B1 A2 B2
+
+225
+00:21:56,320 --> 00:21:59,180
+في الـ Determinant بيقول إيه؟ القيمة اللي هي
+
+226
+00:21:59,180 --> 00:22:03,700
+المفروض في المقام عفوا يا شباب هي عبارة عن حاصل
+
+227
+00:22:03,700 --> 00:22:09,820
+ضرب على أصل القطر الرئيسي مقروح منهم على أصل القطر
+
+228
+00:22:09,820 --> 00:22:14,200
+الثانوي A1
+
+229
+00:22:14,200 --> 00:22:22,300
+في B2 ماقص A2 في B1 هذا الـ Determinant طب الـ
+
+230
+00:22:22,300 --> 00:22:24,020
+Determinant كيف بده أستخدمه في الحل؟
+
+231
+00:22:33,260 --> 00:22:42,040
+بناء على المعادلات الصادقة هذه يا شباب بقدر
+
+232
+00:22:42,040 --> 00:22:47,180
+اقول ان ال X تساوي D1
+
+233
+00:22:47,180 --> 00:22:58,840
+في B2 ناجس D2 في B1 على A1 في B2 مش هي هذه
+
+234
+00:22:58,840 --> 00:23:00,120
+المعادلات اللي احنا جيبناها هي
+
+235
+00:23:03,650 --> 00:23:08,210
+تعالى مرة تانى نرجع للمعادلة تبعتنا هاد كانت في
+
+236
+00:23:08,210 --> 00:23:14,130
+عند المعادلة دي واحد تساوي a واحد x زائد b واحد في
+
+237
+00:23:14,130 --> 00:23:22,990
+y دي اتنين تساوي a اتنين x زائد b اتنين في y طب
+
+238
+00:23:22,990 --> 00:23:25,710
+هاد المعادلة هاد المحدد المصفوف المربع هاد من وين
+
+239
+00:23:25,710 --> 00:23:31,460
+اجت؟ جالك عشان تجيب قيمة xفي البسط يجب أن تتجاهل
+
+240
+00:23:31,460 --> 00:23:36,860
+الـ coefficient تبع الـ X و تبني مصفوفة مربعة من
+
+241
+00:23:36,860 --> 00:23:44,660
+الـ D و ال coefficient تبع ال Y وعشان
+
+242
+00:23:44,660 --> 00:23:49,900
+تجيب قيمة Y ال determinant اللي في البسط يجب أن
+
+243
+00:23:49,900 --> 00:23:53,940
+تتمد على ال coefficient تبع ال X يعني بنجو سيم ده
+
+244
+00:23:53,940 --> 00:23:58,120
+كتنش ال coefficient تبع ال Y مين coefficient ال Y؟
+
+245
+00:23:59,280 --> 00:24:04,020
+الـB1 وB2 اللي موجود في الـBus تبع الـY؟ لأ يعني
+
+246
+00:24:04,020 --> 00:24:09,400
+لاحظ بحيث هي الجزئية الآن بدي X معاكته أنا هدول مع
+
+247
+00:24:09,400 --> 00:24:20,080
+هدول D1 B1 D2 B2 على الـ
+
+248
+00:24:20,080 --> 00:24:26,040
+coefficient تبعت المعادلة A1 B1 A2 B2 هذه قيمة X
+
+249
+00:24:27,820 --> 00:24:34,980
+الـ Determinant ثابت المحدد اللي تحت الـ Y يساوي
+
+250
+00:24:34,980 --> 00:24:39,360
+انسى المعاملات تبع الـ Y و اعتمد على المعاملات
+
+251
+00:24:39,360 --> 00:24:49,380
+الداخلية D1 D2 A1 A2 و الكو او المقارنة كما هو A1
+
+252
+00:24:49,380 --> 00:24:52,440
+A2 B1 B2
+
+253
+00:24:58,100 --> 00:25:06,700
+لش صح مافيش مشكلة صح صح صح صح صح صح صح صح صح صح صح
+
+254
+00:25:06,700 --> 00:25:07,780
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+255
+00:25:07,780 --> 00:25:07,780
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+256
+00:25:07,780 --> 00:25:08,200
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+257
+00:25:08,200 --> 00:25:10,520
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+258
+00:25:10,520 --> 00:25:11,340
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+259
+00:25:11,340 --> 00:25:14,520
+صح صح صح صح صح صح صح صح صح صح صح
+
+260
+00:25:21,160 --> 00:25:25,820
+تنين دي واحد دي اتنين انت فعليا بتعوض مكان ال
+
+261
+00:25:25,820 --> 00:25:29,820
+coefficient تبع ال X بقيا مين بال دي واي بال دي
+
+262
+00:25:29,820 --> 00:25:37,920
+واحد دي اتنين الان هذا القانون اشبه
+
+263
+00:25:37,920 --> 00:25:42,960
+القانون مين يا شباب ال sign rule اذا الان بمجرد
+
+264
+00:25:42,960 --> 00:25:48,040
+انا اشوف المعادلةأصبح بإمكاني .. أصبح بإمكاني أن
+
+265
+00:25:48,040 --> 00:25:52,000
+أعمل ratio و أقدر أجيب القيم اللي موجودة تعالى
+
+266
+00:25:52,000 --> 00:26:09,160
+نشوف فعليا كيف بدي أحل المسألة بالشكل هذا الان
+
+267
+00:26:09,160 --> 00:26:10,400
+قيمة ال X
+
+268
+00:26:14,590 --> 00:26:19,650
+تبعت ال X و
+
+269
+00:26:19,650 --> 00:26:27,830
+بستبدلها بال D سبعة و عشرة و اتنين و اربعة الان
+
+270
+00:26:27,830 --> 00:26:31,970
+بدي اقنش ال coefficient و حط مكانه مين تلاتة و
+
+271
+00:26:31,970 --> 00:26:40,050
+اتنين و بعدين سبعة و عشرة اتسلام
+
+272
+00:26:42,060 --> 00:26:49,840
+ليه شكلته؟ لأننا جسمنا هذه المعادلات مظبوط؟ الآن
+
+273
+00:26:49,840 --> 00:26:53,920
+الـBest او عفر المقام واحد هو الـdeterminant تبعنا
+
+274
+00:26:53,920 --> 00:27:00,720
+والـBest مختلف بحيث انه تم تحييض ال coefficient
+
+275
+00:27:00,720 --> 00:27:04,700
+تبع المعامل X واحتمال اتفاعل المعامل تبع ال Y بين
+
+276
+00:27:04,700 --> 00:27:09,750
+بُسين هذه كانت المعادلة اللي عنديالـ determinant
+
+277
+00:27:09,750 --> 00:27:12,750
+واحد .. ال determinant واحد .. مصبور؟ أنا الآن بدي
+
+278
+00:27:12,750 --> 00:27:16,810
+أخلص أو بدي أوجد علاقة .. بدي أروح أساوي ضرب ..
+
+279
+00:27:16,810 --> 00:27:21,170
+أعمل ضرب تبادلي .. بتصير هذه في المقام .. مصبور؟ و
+
+280
+00:27:21,170 --> 00:27:25,130
+بتصير واحد على ال determinant .. واحد على القيمة
+
+281
+00:27:25,130 --> 00:27:28,830
+هذه .. واحد على القيمة اللي موجودة عندي هنا ..
+
+282
+00:27:28,830 --> 00:27:32,630
+وبالتالي لازم أنا أغير في القيم حسب المعادلة اللي
+
+283
+00:27:32,630 --> 00:27:36,450
+موجودةالان جداش قيمة المعادلة يا شباب ال
+
+284
+00:27:36,450 --> 00:27:41,950
+determinant هان هدى x على تمانية عشرين ناقص عشرين
+
+285
+00:27:41,950 --> 00:27:51,090
+تمانية تلاتين ناقص اربعة اتاش واحد
+
+286
+00:27:51,090 --> 00:27:57,050
+على تمانية x تساوي x على تمانية تساوي واحد على
+
+287
+00:27:57,050 --> 00:28:03,930
+تمانية يعني x تساوي واحدY على ستة عشر تساوي واحد
+
+288
+00:28:03,930 --> 00:28:09,950
+على تمانية هذا بيقدي ان ال Y تساوي ستة عشر على
+
+289
+00:28:09,950 --> 00:28:27,650
+تمانية تساوي اتنين تمام طيب كمان مسألة ماشي
+
+290
+00:28:27,650 --> 00:28:29,170
+خليه تطلع فيه براحتك
+
+291
+00:28:37,850 --> 00:28:49,250
+Anyway جمبوا عينيكم عشان انا متشوفوش X على 11 5 1
+
+292
+00:28:49,250 --> 00:29:05,090
+1 أصبت X على 11 5 1 1 تساوي Y علىاربعة و واحد و
+
+293
+00:29:05,090 --> 00:29:12,790
+احد و خمسة تساوي واحد على اربعة
+
+294
+00:29:12,790 --> 00:29:21,390
+واحد واحد واحد وتساوي تمام X على احداش نقص خمسة
+
+295
+00:29:21,390 --> 00:29:30,230
+ستة احداش واحد نقص خمسة و Y تساوي عشرين نقص احداش
+
+296
+00:29:30,230 --> 00:29:41,790
+تسعةأربعة ناقص واحد تلاتة X على ستة تساوي واحد على
+
+297
+00:29:41,790 --> 00:29:48,630
+تلاتة معناته X تساوي ستة على تلاتة تساوي اتنين Y
+
+298
+00:29:48,630 --> 00:29:55,050
+على تسعة تساوي واحد على تلاتة Y تساوي تسعة على
+
+299
+00:29:55,050 --> 00:29:58,070
+تلاتة تلاتة
+
+300
+00:29:59,720 --> 00:30:02,620
+لاحظوا ان لما اتعرفت على ال determinant المسألة
+
+301
+00:30:02,620 --> 00:30:09,440
+بطلت .. بطلت انا محتاج فعليا اروح اثبتها رياضيا او
+
+302
+00:30:09,440 --> 00:30:13,120
+اروح للمعادلات الجبرية و ابدأ اعوض فيها فصار ال
+
+303
+00:30:13,120 --> 00:30:17,580
+determinant بقول اتفضل يعني بس مسألة حساب بوصل
+
+304
+00:30:17,580 --> 00:30:25,390
+لمين للحل اللي موجود عندهالو ايش؟ اكيد يا أستاذ
+
+305
+00:30:25,390 --> 00:30:29,810
+الان احنا بدينا بالطريقة التقليدية تمام اللي ممكن
+
+306
+00:30:29,810 --> 00:30:34,190
+يكون فيها مشكلة لأنه مافيش فيها قانون ثابت الان
+
+307
+00:30:34,190 --> 00:30:38,310
+اللي بنتكلم عليه هان انه انا صار في عندي طريقة
+
+308
+00:30:38,310 --> 00:30:42,430
+ثابتة موحدة لكل المعادلات من الدرجة الأولى اللي
+
+309
+00:30:42,430 --> 00:30:47,710
+فيها متغيرين اقدر اجيب ايش القيم تبع المتغيرات بكل
+
+310
+00:30:47,710 --> 00:30:50,890
+بساطة اللي انا وانت وهو وغيرنا نشتغل على طريقة
+
+311
+00:30:50,890 --> 00:30:58,850
+واحدة نعملا تنحلش كيف بتنحل؟ كيف بتنحل؟ الان
+
+312
+00:30:58,850 --> 00:31:00,870
+المعادل .. زميل اللي بيسأل عن المعادل اللي في
+
+313
+00:31:00,870 --> 00:31:14,030
+الأول شباب هادي ال 7 و 14 هذي
+
+314
+00:31:14,030 --> 00:31:19,300
+مستحيل تنحل لأنه معادلة واحدة اللي عندكتمام؟ نعم؟
+
+315
+00:31:19,300 --> 00:31:23,880
+بس مباعة فاتعة احنا قولنا ان هذا ال example مخادع
+
+316
+00:31:23,880 --> 00:31:29,760
+غير ناجح لأنه فعليا ماوجبنيش معلومات جديدة نعم كده
+
+317
+00:31:29,760 --> 00:31:33,460
+هتحل يا صاحبي إذا الأساس .. أساس الرياضيات و
+
+318
+00:31:33,460 --> 00:31:38,660
+المعادلات محلتهاش القانون السابق يا شباب اللي احنا
+
+319
+00:31:38,660 --> 00:31:41,460
+عرضناه تبع ال determinant من ال one and banana مش
+
+320
+00:31:41,460 --> 00:31:46,010
+بناء على نفس الفكرةان انا ضربت المعادلة الأولى في
+
+321
+00:31:46,010 --> 00:31:50,410
+2 وضربت المعادلة الثانية في 3 ضربت المعادلة الأولى
+
+322
+00:31:50,410 --> 00:31:54,630
+في B1 وضربت المعادلة الثانية في B2 ضربت المعادلة
+
+323
+00:31:54,630 --> 00:31:56,930
+الأولى في B2 وضربت المعادلة الثانية في B1 واختصرت
+
+324
+00:31:56,930 --> 00:32:01,090
+لحد ما وصلت لل determinant فطبيعي هذا هو الأساس
+
+325
+00:32:01,090 --> 00:32:06,670
+الشغل التعويض هذا هذا هو الأساس لكن احنا كمان مرة
+
+326
+00:32:06,670 --> 00:32:10,170
+لأن مش كنا على نفس القدرة في التعامل مع رياضيات
+
+327
+00:32:11,220 --> 00:32:13,920
+فأقول لك إيه؟ في عندنا قانون ثابت للجميع بتقدر
+
+328
+00:32:13,920 --> 00:32:23,800
+تطبق عليه تعالى نشوفك بالتوصق .. نعم .. شباب طول
+
+329
+00:32:23,800 --> 00:32:29,480
+ما أنت كل حياتك فقط لاختبار عمو كاش بتقدم أنا
+
+330
+00:32:29,480 --> 00:32:34,260
+قلتلك مئة مرة بقى لزمكاش الطريقة معينة إلا لو أنا
+
+331
+00:32:34,260 --> 00:32:36,560
+معنى كنت بالطريقة اللي هيبقى قولك استخدم الطريقة
+
+332
+00:32:36,560 --> 00:32:39,420
+الفلانية عادة بالنسبة لي بسيب المجال مفتوح
+
+333
+00:32:44,380 --> 00:32:55,540
+فيما يتعلق بالمسألة الأخيرة هي لغة
+
+334
+00:32:55,540 --> 00:33:00,740
+المثال اللي احنا بنتكلم عليه طبعا هذه المسألة ممكن
+
+335
+00:33:00,740 --> 00:33:05,740
+تنحل بال determinant مستحيل مانحلتش معانا رياضيا
+
+336
+00:33:05,740 --> 00:33:10,380
+تعالي شوف ايش اللي هيحصل عندك يا شباب تعالي تكلمي
+
+337
+00:33:10,380 --> 00:33:14,690
+على ال determinantتعالى اتكلم على ال determinant X
+
+338
+00:33:14,690 --> 00:33:25,330
+على 6 اتناش واحد و اتنين تساوي Y على اربعة تمانية
+
+339
+00:33:25,330 --> 00:33:36,250
+ستة و اتناش واحد على اربعة تمانية واحد و اتنينصفر
+
+340
+00:33:36,250 --> 00:33:43,950
+ال bus المقام صفر و المقام صفر و المقام صفر طب قسم
+
+341
+00:33:43,950 --> 00:33:48,110
+على صفر يا شباب انه غير معرفة كيف هي بتشتغل مستحيل
+
+342
+00:33:48,110 --> 00:33:55,270
+ثمان مرة الأساس ان هذي و هذي هم معادلة واحدة هذولا
+
+343
+00:33:55,270 --> 00:33:59,070
+.. اتطلع
+
+344
+00:33:59,070 --> 00:34:02,590
+في ال coefficients اللي موجودين اتطلع في ال
+
+345
+00:34:02,590 --> 00:34:08,270
+coefficients اللي موجودينخلاص إذا الآن هذه اتنين
+
+346
+00:34:08,270 --> 00:34:11,710
+وهذه اتنين وهذه اتنين جسمها اتنين نهايتها هتطلع
+
+347
+00:34:11,710 --> 00:34:16,530
+ستة اربع اكس زائد واي نفس المعادلة out تمام يا
+
+348
+00:34:16,530 --> 00:34:18,270
+شباب؟ خلصنا مع هذا يا عبد الحسن
+
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/4EbUvpc94Ks_postprocess.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/4EbUvpc94Ks_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..83c37edc81671c24ca1971a806764f1c1cf43469
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/4EbUvpc94Ks_postprocess.srt
@@ -0,0 +1,2220 @@
+1
+00:00:20,840 --> 00:00:23,180
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:23,180 --> 00:00:28,260
+اليوم ان شاء الله شباب هنبدأ في chapter لـ
+
+3
+00:00:28,260 --> 00:00:31,620
+transforms او ل transformations التحويلات او
+
+4
+00:00:31,620 --> 00:00:35,440
+التحويرات على ال graphics اللي موجود عندها على
+
+5
+00:00:35,440 --> 00:00:40,080
+سبيل المثال لو تخيل ان في عندك cube مكعب المكعب
+
+6
+00:00:40,080 --> 00:00:45,800
+هذا بدي أنجل من مكان و لمكان اخر الحركة هذه ال
+
+7
+00:00:45,800 --> 00:00:51,140
+transformForm تحويل تحويل في المكان Transformation
+
+8
+00:00:51,140 --> 00:00:56,040
+كذلك لو تخيل ان المكعب بده يعمل Rotate حول ال X
+
+9
+00:00:56,040 --> 00:00:59,580
+Axis او ال Y Axis او ال Z Axis برضه هال
+
+10
+00:00:59,580 --> 00:01:04,260
+Transformation تخيل المكعب ثابت في مكانه بس حجمه
+
+11
+00:01:04,260 --> 00:01:06,780
+بده يزيد او يصغر هذه برضه واحدة من ال
+
+12
+00:01:06,780 --> 00:01:11,940
+Transformation لو انا بده اجيب صورة المكعب هذا او
+
+13
+00:01:11,940 --> 00:01:15,260
+بده اعمله انعكاسهذه بعض و واحدة من ال
+
+14
+00:01:15,260 --> 00:01:17,820
+transformation اللى موجودة عندى وبالتالي اليوم
+
+15
+00:01:17,820 --> 00:01:20,840
+هنتعرف ان شاء الله من ناحية راضية على مبدأ ال
+
+16
+00:01:20,840 --> 00:01:24,200
+transformation و التطبيقات التابعتها قدر المستطاع
+
+17
+00:01:24,200 --> 00:01:29,020
+بالنهر لها transforms
+
+18
+00:01:29,020 --> 00:01:35,960
+اللى عادة تقصد فيها ل scale تكبير و تصغيراللزاحة
+
+19
+00:01:35,960 --> 00:01:40,060
+او ال movement reflect المعكاس الشير او القص
+
+20
+00:01:40,060 --> 00:01:43,360
+حيجيها في المعنى وان كان المعنى مش دقيق بالنسبة
+
+21
+00:01:43,360 --> 00:01:49,460
+للشير وال rotate اللي هو الالتفاخ او الدوران حول
+
+22
+00:01:49,460 --> 00:01:54,560
+العناصر الموجودةلكن فعليا هنتفاجأ ان المواضيع هذه
+
+23
+00:01:54,560 --> 00:01:58,080
+لها علاقة مباشرة كتطبيقات لـ matrices للمصففات
+
+24
+00:01:58,080 --> 00:02:00,840
+احنا اتكلمنا على المصففات بداية و اتكلمنا على ال
+
+25
+00:02:00,840 --> 00:02:05,220
+vectors مصبور و اتكلمنا على حجام المصففات و كيف
+
+26
+00:02:05,220 --> 00:02:09,280
+بدي اجمع و كيف بدي اضرب و برضه في الشبتر هذا موجود
+
+27
+00:02:09,280 --> 00:02:12,100
+الكلام هذا و ان كانت النسخة الجديدة من الكتابة صلى
+
+28
+00:02:12,100 --> 00:02:15,480
+الله عليه و الحمد شفصلهم الصحيح شغالة انه حطنا ال
+
+29
+00:02:15,480 --> 00:02:19,600
+matrices شبتر لحاله ليه بليش ما تتكلم على ال
+
+30
+00:02:19,600 --> 00:02:25,850
+transformationلو انا اجيت في البداية قلت لو في
+
+31
+00:02:25,850 --> 00:02:31,110
+عندنا نقطة Bxy هذه النقطة في الـ2D هذه النقطة في
+
+32
+00:02:31,110 --> 00:02:35,910
+الـ2D لما انا بأتكلم على transform معناته انا
+
+33
+00:02:35,910 --> 00:02:41,090
+بتكلم ان هذه النقطة تحولت او تحورت الى B' نقطة
+
+34
+00:02:41,090 --> 00:02:45,850
+مختلفة بحيث ان X'Y' هي ال coordinates تبع النقطة
+
+35
+00:02:45,850 --> 00:02:49,490
+الجديدة وهذا الكلام مش هيصير الا غير من خلال
+
+36
+00:02:49,490 --> 00:02:55,320
+معادلةجبرية من خلال معادلة رياضية مثل ان اقول انا
+
+37
+00:02:55,320 --> 00:03:03,720
+x prime تساوي ax زائد by زائد a a وby و e هي عبارة
+
+38
+00:03:03,720 --> 00:03:07,400
+عن constant او real numbers هي اللي بتسميها احنا
+
+39
+00:03:07,400 --> 00:03:12,040
+ال coefficient بتاعة ال transformation تبعتي الان
+
+40
+00:03:12,040 --> 00:03:17,880
+لو انا يا جد قلتلك النقطة واحد و تلاتة واحد و
+
+41
+00:03:17,880 --> 00:03:19,700
+تلاتة بدها تصير عندي
+
+42
+00:03:23,990 --> 00:03:33,350
+خمسة و خمسة بدي أحورها للنقطة خمسة و خمسة معناته
+
+43
+00:03:33,350 --> 00:03:38,350
+انا بقدر اجي اقول ال X براين بدي تساوي X زائد Y
+
+44
+00:03:38,350 --> 00:03:42,970
+زائد واحد هاي معادلة رياضية و في نفس الوقت بقدر
+
+45
+00:03:42,970 --> 00:03:50,930
+اقول Y بدي تساوي X زائد Y زائد واحدوبالتالي لما
+
+46
+00:03:50,930 --> 00:03:55,610
+انا دي اطبقت المعادلة هاي بصرت واحد و واحد انتقلت
+
+47
+00:03:55,610 --> 00:04:00,910
+او اتصرت اتحورت او تمدلت الى النقطة خمسة و خمسة
+
+48
+00:04:00,910 --> 00:04:04,510
+حبر المعادلة طيب لو انا فيها نقطة تانية صفر و خمسة
+
+49
+00:04:04,510 --> 00:04:07,790
+بده
+
+50
+00:04:07,790 --> 00:04:18,430
+يصير شكلها بده تاخد صفر زي الخمسة ستة Yكذلك 6 وكم
+
+51
+00:04:18,430 --> 00:04:23,950
+صرت اذا اتكلم على معادلة تديني دائما نقطة اللي هي
+
+52
+00:04:23,950 --> 00:04:28,150
+كتير ال coordinates بتاعتها متساويات هذه المعادلات
+
+53
+00:04:28,150 --> 00:04:30,610
+بنسميها Transformation ممكن تكون فيها
+
+54
+00:04:30,610 --> 00:04:34,870
+Transformation اخر اروح بحث ان انا اروح اقولهم X
+
+55
+00:04:34,870 --> 00:04:40,590
+بدا تساوي X prime زائد 1 بصير ال coefficient تبع
+
+56
+00:04:40,590 --> 00:04:46,330
+ال P عنديهازيرو بس ال coefficient تبع ال Y اللي هي
+
+57
+00:04:46,330 --> 00:04:51,050
+ال G Zero و قاعد أقولك هان ان ال Y تساوي Y Prime
+
+58
+00:04:51,050 --> 00:04:55,210
+زايد واحد عفوا ال Y Prime عفوا عفوا أنا عكست ال ..
+
+59
+00:04:55,950 --> 00:05:00,670
+الـ Y' تساوي Y زائد واحد معناته الـ C هنا ال
+
+60
+00:05:00,670 --> 00:05:05,050
+coefficient صارت Zero تمام؟ وبهكذا .. انا ممكن
+
+61
+00:05:05,050 --> 00:05:07,390
+تكون في حين انتي تدخل ممكن تكون في حين انتي X'
+
+62
+00:05:07,910 --> 00:05:14,150
+تساوي 2X زائد Y زائد واحد بينما ال Y' تساوي Y
+
+63
+00:05:14,150 --> 00:05:19,010
+ماصارش عليها تغيير حسب ال transformation هذه
+
+64
+00:05:19,010 --> 00:05:21,790
+بالتالي المعادلات تبعتها ال coefficient هذه
+
+65
+00:05:21,790 --> 00:05:25,490
+المعادلة بشكل كاملوالـ Coefficient هي اللي بتحكم
+
+66
+00:05:25,490 --> 00:05:30,890
+نوع الـ Transformation اللي بيصير عندى لاحقا طيب
+
+67
+00:05:30,890 --> 00:05:35,530
+لو انا اجيت و قلت اللقطة تبعتي كانت في الـ 3D ايش
+
+68
+00:05:35,530 --> 00:05:38,030
+اللي حزيد عندي؟ حزيد عندي في الـ Transformation
+
+69
+00:05:38,030 --> 00:05:42,130
+اللي فيها عندي معادلة Z' بـ Prime مظهر؟ لأن بتصير
+
+70
+00:05:42,130 --> 00:05:45,710
+كل ال coordinates بيكون عملها تحوير للمظام او
+
+71
+00:05:45,710 --> 00:05:48,050
+للمعادلة HD اللي موجودة عندها
+
+72
+00:05:51,320 --> 00:05:54,960
+ليش ال matrices مهمة لو اتطلعت في العناصر اللي
+
+73
+00:05:54,960 --> 00:06:00,670
+موجودة عندي هنا يا شباب؟ ال coefficientواحد اتنين
+
+74
+00:06:00,670 --> 00:06:03,190
+تلاتة في الصف الأول واحد اتنين تلاتة في الصف
+
+75
+00:06:03,190 --> 00:06:06,730
+التاني يعني ممكن اتكلم على مصفوفة اتنين في تلاتة
+
+76
+00:06:06,730 --> 00:06:11,410
+ولمّا كنت بتكلم زبط او في ال 3D بتكلم مصفوفة اربعة
+
+77
+00:06:11,410 --> 00:06:14,770
+او تلاتة في اربعة لكن المصفوفة دي بدنا نعملها
+
+78
+00:06:14,770 --> 00:06:17,850
+تحويل بسيط كمان شوية خلينا نشوفها مع بعضنا
+
+79
+00:06:17,850 --> 00:06:22,650
+وبالتالي ليش المصفوفات ليش ال transformation في ال
+
+80
+00:06:22,650 --> 00:06:27,100
+computer graphicsبدي اروح اعالجها بالمصفوفات لان
+
+81
+00:06:27,100 --> 00:06:32,240
+المصفوفات جزء مهم جدا في الكمبيوتر وما تنساش ان
+
+82
+00:06:32,240 --> 00:06:38,480
+حتى لما انا بتكلم على image الصورة هي عبارة عن
+
+83
+00:06:38,480 --> 00:06:44,320
+matrix مصفوفة XY
+
+84
+00:06:44,320 --> 00:06:49,860
+مجموعة من ال pixels وكل pixel الى coordinate XY
+
+85
+00:06:49,860 --> 00:06:54,410
+وبالتالي انا بقدر ايشأتعامل مع الكمبيوتر أو مع
+
+86
+00:06:54,410 --> 00:06:58,050
+المصوفات لأن هي النظام الأنثى للكمبيوتر graphics
+
+87
+00:06:58,050 --> 00:07:03,810
+هنبدأ
+
+88
+00:07:03,810 --> 00:07:07,270
+مع ال transformation و هنتكلم في ال translation أو
+
+89
+00:07:07,270 --> 00:07:13,330
+الإزاحة كأول transform هنتكلم فيه اليوم بشكل عام
+
+90
+00:07:13,330 --> 00:07:17,750
+يا شباب ال Cartesian coordinates هو عبارة بوفر ال
+
+91
+00:07:17,750 --> 00:07:22,040
+one to one relationship علاقة one to oneبين من و
+
+92
+00:07:22,040 --> 00:07:26,520
+مين؟ بين ال number و ال shape لما انا بديت ارسم لو
+
+93
+00:07:26,520 --> 00:07:32,100
+اتيت لبصمة مثلث ثلاث
+
+94
+00:07:32,100 --> 00:07:37,660
+نقاط و قولتلك بيجي روح انا اعمل ازاح على المثلث
+
+95
+00:07:37,660 --> 00:07:44,980
+بحيث ان المثلث يظهر هنا معناته
+
+96
+00:07:44,980 --> 00:07:48,560
+انا فيه اندي النقاط
+
+97
+00:07:49,850 --> 00:07:54,630
+بنعملهم إزاحة تمام؟ بنهايه أنا ما جداش مقدار
+
+98
+00:07:54,630 --> 00:07:58,650
+الإزاحة والإزاحة بدا فأتطبّق نفس المعادلة بدا
+
+99
+00:07:58,650 --> 00:08:03,570
+فأتطبّق على الأربع نقاط عشان أنا أضمن إن المثلث دا
+
+100
+00:08:03,570 --> 00:08:07,130
+قيا بنفس الحجم ونفس الاتجاه اللي برسم عليه فانا كل
+
+101
+00:08:07,130 --> 00:08:11,630
+المطلب مني بس أروح أنا أحركه بدا اتحركه بأي اتجاه
+
+102
+00:08:11,630 --> 00:08:18,850
+على سبيل المثال لو أنا رسمتلك هيكX و Y و قلتلك هاي
+
+103
+00:08:18,850 --> 00:08:30,410
+في عندي مثلث هن هاي المثلث و بدي أنجره هن بداك
+
+104
+00:08:30,410 --> 00:08:37,750
+تزبه كلام صح المفروض ال distance بين أي نقطتين
+
+105
+00:08:37,750 --> 00:08:41,690
+تكون متساوية
+
+106
+00:08:51,340 --> 00:08:54,860
+بتكون هيك الإزاحة تبعتي سليمة وبما أن الأمر هذا
+
+107
+00:08:54,860 --> 00:08:58,960
+هيتم من خلال معادلة رياضية إذا أنا ثبتت معادلة
+
+108
+00:08:58,960 --> 00:09:03,640
+واحدة فقط معناته أنا ماقدر أعيش الإزاحة تعالى نفكر
+
+109
+00:09:03,640 --> 00:09:09,720
+بشكل بسيط مع بعض بصوت عالي الآن إيش القيم اللي
+
+110
+00:09:09,720 --> 00:09:12,640
+بتتغير في المعادلة اللي عندي على فرض إن النقطة هذه
+
+111
+00:09:12,640 --> 00:09:20,360
+معروفة هذه 00 هذه بدأ أقول 11 وهذه 00
+
+112
+00:09:24,800 --> 00:09:28,800
+محور السماء فقط قيم X ما تغير عليها ولا حاجة إذا
+
+113
+00:09:28,800 --> 00:09:34,400
+المفلقة ال Y عفوا إذا الآن المفلقة بتدودنا على فوق
+
+114
+00:09:34,400 --> 00:09:38,720
+شوية مهاتها هتتغير القيم وبالتالي أنا بقدر أصيب
+
+115
+00:09:38,720 --> 00:09:41,700
+المعادلة بحسب أنا إيش بدي و ايه ال position الجديد
+
+116
+00:09:41,700 --> 00:09:45,000
+او بيمبو سي إذا أنا عرفت أنا where رايح بقدر أحسب
+
+117
+00:09:45,000 --> 00:09:50,000
+ال distance و object منها معادلة تمام وبالتالي لما
+
+118
+00:09:50,000 --> 00:09:53,860
+أنا بأتكلم على إزاحة خلّي لو أنا بدأت أتكلم هنا X
+
+119
+00:09:55,250 --> 00:10:00,530
+الـ prime بيتساوي X القيمة القديمة زائد جديش على
+
+120
+00:10:00,530 --> 00:10:03,570
+فرض ان هان كانت هان اتنين و هان في كمان اتنين
+
+121
+00:10:03,570 --> 00:10:08,710
+بيتصير اربعة وهذه
+
+122
+00:10:08,710 --> 00:10:14,630
+Y prime بيبقى Y بدون تغيير الان لما تبدأ تبدأ تبدأ
+
+123
+00:10:14,630 --> 00:10:19,170
+النقطة صفر و صفر هتصير
+
+124
+00:10:19,940 --> 00:10:23,660
+أربعة و أربعة و أربعة و أربعة و أربعة و أربعة و
+
+125
+00:10:23,660 --> 00:10:31,380
+أربعة و أربعة و أربعة و أربعة و أربعة و أربعة و
+
+126
+00:10:31,380 --> 00:10:34,860
+أربعة و أربعة و أربعة و أربعة و أربعة و أربعة و
+
+127
+00:10:34,860 --> 00:10:34,940
+أربعة و أربعة و أربعة و أربعة و أربعة و أربعة و
+
+128
+00:10:34,940 --> 00:10:35,060
+أربعة و أربعة و أربعة و أربعة و أربعة و أربعة و
+
+129
+00:10:35,060 --> 00:10:35,080
+أربعة و أربعة و أربعة و أربعة و أربعة و أربعة و
+
+130
+00:10:35,080 --> 00:10:38,280
+أربعة و أربعة و أربعة و أربعة و أربعة و أربعة و
+
+131
+00:10:38,280 --> 00:10:44,440
+أربعة و أربعة و
+
+132
+00:10:45,970 --> 00:10:49,590
+6 و 0 وبالتالي هو مثلث جديد نفس الحجم و نفس
+
+133
+00:10:49,590 --> 00:11:01,890
+الاتجاه بدون ما يكون عليه أي تغيير الآن
+
+134
+00:11:01,890 --> 00:11:09,450
+معناته ال transformation هو عبارة عن معادلة خطوية
+
+135
+00:11:09,450 --> 00:11:14,980
+بسيطةهي او ال translation معادلة خطية بحطها على
+
+136
+00:11:14,980 --> 00:11:20,120
+النقاط حسب حاجتي لاحظ لو انا قد قلتلك اقيم ال
+
+137
+00:11:20,120 --> 00:11:26,280
+coefficient تبع ال X و ال Y و ال constant اللي
+
+138
+00:11:26,280 --> 00:11:29,080
+كانوا موجودات في المعادلة الرئيسية لما قلنا X
+
+139
+00:11:29,080 --> 00:11:41,430
+prime تساوي Ax زائد By زائد CY prime تساوي EX
+
+140
+00:11:41,430 --> 00:11:50,550
+زائد DY زائد F حتما هتقولي ال coefficient تبقى
+
+141
+00:11:50,550 --> 00:11:59,190
+الاي قيمتها حسب المعادلة هذه واحد ال B صفر ال C
+
+142
+00:11:59,190 --> 00:12:03,940
+تساوي تلاتةوكذلك عند ال Y اللي أنا بدأ أوصله كمان
+
+143
+00:12:03,940 --> 00:12:07,140
+مرة شباب من خلال إعادتي للمعلومة هاي اللي ال
+
+144
+00:12:07,140 --> 00:12:10,520
+coefficient أنا مش ضروري يكونوا كلهم قيم حققية
+
+145
+00:12:10,520 --> 00:12:12,900
+أكبر من صفر ممكن تكون أكبر من صفر ممكن تكون أقل من
+
+146
+00:12:12,900 --> 00:12:16,340
+صفر ممكن تكون كسور وبالتالي أنا بدأ أقدر أعمل فيها
+
+147
+00:12:16,340 --> 00:12:19,060
+إزاحة وتشغل على الأرقام حسب حاجتي
+
+148
+00:12:25,370 --> 00:12:27,970
+بس وفترض المعادلة الخطوية بيروح يعمل إزاحة عشان
+
+149
+00:12:27,970 --> 00:12:31,910
+ينجل المثلث أو الشيط من المكان هذا لمكان آخر بس
+
+150
+00:12:31,910 --> 00:12:38,290
+بمجرد بس إزاحة تمام؟ وبالتالي هاي إزاحة يعني الان
+
+151
+00:12:38,290 --> 00:12:41,390
+تعالى
+
+152
+00:12:41,390 --> 00:12:45,290
+شوف من أنها المعادلة ببني هاي ال board المتبعي
+
+153
+00:12:45,290 --> 00:12:50,810
+original بدي أعمله إزاحة للمكان هذا إيش النقاط؟
+
+154
+00:12:50,810 --> 00:13:01,780
+الآن لو أنا بقول أول نقطةكانت واحد على ال Y مقدور
+
+155
+00:13:01,780 --> 00:13:07,440
+الإزاحة على ال Y كده؟ واحد، ما هي Y prime تساوي Y
+
+156
+00:13:07,440 --> 00:13:11,360
+زائد واحد، هل هذا الكلام مع كل النقاط؟ أه، هذه
+
+157
+00:13:11,360 --> 00:13:15,560
+كانت صفر، وصارت هنا واحد، هذه كانت هنا اتنين،
+
+158
+00:13:15,560 --> 00:13:18,420
+وصارت هنا تلاتة، هذه كانت اتنين، على مستوى ال X
+
+159
+00:13:25,100 --> 00:13:30,200
+2 وانفرد خمسة هاي
+
+160
+00:13:30,200 --> 00:13:33,340
+المعادلة اللى كانت موجودة هي مثلا تعمل إزاحة لكن
+
+161
+00:13:33,340 --> 00:13:38,740
+لازم نقول هذه الأقضاء في أساس هي حسب الشكل أو جديش
+
+162
+00:13:38,740 --> 00:13:43,560
+المقدار الإزاحة اللى بده يعملها تمام؟ لو أنا أتقال
+
+163
+00:13:43,560 --> 00:13:46,520
+أحيانا ممكن أديك المعادلة يعني و أديك الشكل
+
+164
+00:13:46,520 --> 00:13:49,980
+الأساسي أو أديك اللقاء طبعة الشكل و أقوله أعمل
+
+165
+00:13:49,980 --> 00:13:54,280
+translation من هنا على المعادلة هايمش راك اتساوي؟
+
+166
+00:13:54,280 --> 00:13:57,040
+خلاص بدأ اطبق المعاملة مابتقولليش ليش؟ لأن أنا
+
+167
+00:13:57,040 --> 00:14:00,600
+المطلوب مني بدي أزيح الكورة عن الطاولة لنهاية
+
+168
+00:14:00,600 --> 00:14:04,860
+الطاولة إذا زيحتها برا كمان حركة واحدة معناته
+
+169
+00:14:04,860 --> 00:14:08,500
+هتجعى برا بالتالي أنا ملتز بال coordinates اللي
+
+170
+00:14:08,500 --> 00:14:15,660
+ممكن أنا أشتغل عليها تعالى نشوف بأولاده ال
+
+171
+00:14:15,660 --> 00:14:19,180
+translation لاحظوا ان ال translation هو عبارة عن
+
+172
+00:14:19,180 --> 00:14:21,500
+أو من اللي اتحكم في ال translation شباب
+
+173
+00:14:26,990 --> 00:14:33,150
+الـ C و ال F الـ C و ال F يعني انا فعليا او ping و
+
+174
+00:14:33,150 --> 00:14:37,250
+same عملية ال addition او عملية الجمع او الاضافة
+
+175
+00:14:37,250 --> 00:14:42,770
+او الطرح كذلك لان ممكن انا راح اقولك X prime تساوي
+
+176
+00:14:42,770 --> 00:14:49,230
+X نقص ثلاثة و Y prime تساوي X او تساوي Y نقص واحد
+
+177
+00:14:49,230 --> 00:14:52,690
+حدي
+
+178
+00:14:52,690 --> 00:14:58,190
+في المنطقة هاي ولا لأ وبالتاليعملية الجمع والطرح
+
+179
+00:14:58,190 --> 00:15:05,250
+هان الـ Co-Option كده نتكلم على الإزاحة
+
+180
+00:15:19,530 --> 00:15:24,390
+وشغل مهم جدا يا شباب انه دائما المعادلة عشان تكون
+
+181
+00:15:24,390 --> 00:15:29,790
+الإزاحة تبعتي حقيقية بدي اطبق المعادلة على كل نقاط
+
+182
+00:15:29,790 --> 00:15:37,690
+يعني لو انا جيب قلتلك صفر و صفر واحد و تلاتة اربعة
+
+183
+00:15:37,690 --> 00:15:40,790
+و خمسة روح اعمل ليه transformation او اعمل ليه
+
+184
+00:15:40,790 --> 00:15:44,490
+translation حسب
+
+185
+00:15:44,490 --> 00:15:50,460
+المعادلة التالية X برايم دي هتساويX زائد اتنين Y
+
+186
+00:15:50,460 --> 00:15:53,000
+برايم تساوي Y زائد تلاتة
+
+187
+00:15:58,130 --> 00:16:02,250
+كل نقطة مباشرة مابينج عشان هيك بنقولك هي عبارة عن
+
+188
+00:16:02,250 --> 00:16:06,130
+one to one مابينج هي في عند ال input هي ال
+
+189
+00:16:06,130 --> 00:16:12,650
+function وفي عند ال output الاولى اتنين و تلاتة
+
+190
+00:16:12,650 --> 00:16:20,650
+التانية تلاتة و ستة اللي بعدها ستة و تمانية
+
+191
+00:16:24,740 --> 00:16:27,360
+اذا بيقولك ارسم الشكل لازم اوفر لك ال coordinates
+
+192
+00:16:27,360 --> 00:16:30,500
+لازم اقبعلك على الصفحه اذا انا بيقولك ارسم الشكل
+
+193
+00:16:30,500 --> 00:16:32,940
+لازم ارسم لك ال coordinates و اقولك هاي المقالة
+
+194
+00:16:32,940 --> 00:16:37,580
+الطبيعية 123123 على ال Y عشان تقدر ترسم الشكل اللي
+
+195
+00:16:37,580 --> 00:16:44,440
+موجود عندها الان
+
+196
+00:16:44,440 --> 00:16:48,440
+بدنا نمتقل لـ Transformation التاني Scaling
+
+197
+00:16:48,440 --> 00:16:56,230
+Scaling تحجيمأو بينجو سين الان بتتكلم على مساحة
+
+198
+00:16:56,230 --> 00:17:00,810
+الشكل اللى موجود عندها لإن أنا ما زلت بتتكلم في ال
+
+199
+00:17:00,810 --> 00:17:04,910
+2D Transformation 2D يعني Area أسبوع في ال 3D
+
+200
+00:17:04,910 --> 00:17:10,030
+بتتكلم على Volume مصير تتكلم على حجم الان شو يعني
+
+201
+00:17:10,030 --> 00:17:12,230
+التحجيم؟ يعني أنا بدي أزيد
+
+202
+00:17:17,200 --> 00:17:20,860
+الان بدي هذا الشكل يكبر من الضائف مساحته تزيد من
+
+203
+00:17:20,860 --> 00:17:24,060
+الضائف بدي اضرب في اتنين مين اللي بدي اضرب في
+
+204
+00:17:24,060 --> 00:17:32,700
+اتنين ال X ال X اذا انا بدي الشكل كله يصير 200%
+
+205
+00:17:32,700 --> 00:17:36,620
+ماته بدي احدثيات كلها بدي اضربها في اتنين اللي
+
+206
+00:17:36,620 --> 00:17:40,340
+قدامي سيه هروح اقوله انا ال Y او ال X برايم بدي
+
+207
+00:17:40,340 --> 00:17:46,330
+اتساوي اتنين X و ال Y برايم بدي اتساوي اتنين Yلأن
+
+208
+00:17:46,330 --> 00:17:51,850
+اذا انا بدي مساحة الشكل اللي هي ده تصير ضعف لازم
+
+209
+00:17:51,850 --> 00:17:56,290
+اضرب في اتنين اضرب ال X و اضرب في ال Y تخيل هي
+
+210
+00:17:56,290 --> 00:18:02,750
+المثلث لو
+
+211
+00:18:02,750 --> 00:18:11,250
+امتى روحت فقط مطبقة على ال X الآن
+
+212
+00:18:11,250 --> 00:18:19,840
+على فرض الجدشن من المقطار اتنينوتلاتة وهذه اربعة
+
+213
+00:18:19,840 --> 00:18:25,520
+وتلاتة وهذه تلاتة
+
+214
+00:18:25,520 --> 00:18:28,940
+واربعة تخيل ان انا بدي اضغط في اتنين فقط بس اين
+
+215
+00:18:28,940 --> 00:18:33,540
+اتنين ال X هذي
+
+216
+00:18:33,540 --> 00:18:39,320
+هتصير اربعة هذي
+
+217
+00:18:39,320 --> 00:18:47,050
+هذي النقاط تبعتي هتصير هذي هتصير اربعةو تلاتة هذه
+
+218
+00:18:47,050 --> 00:18:52,430
+هتصير عندك تمانية و تلاتة ستة و تلاتة تعالي أقسمهم
+
+219
+00:18:52,430 --> 00:19:01,470
+اربع و تلاتة هي اربع و تلاتة هي اربع و تلاتة هي
+
+220
+00:19:01,470 --> 00:19:03,370
+اربع و تلاتة هي اربع و تلاتة هي اربع و تلاتة هي
+
+221
+00:19:03,370 --> 00:19:05,670
+اربع و تلاتة هي اربع و تلاتة هي اربع و تلاتة هي
+
+222
+00:19:05,670 --> 00:19:07,970
+اربع و تلاتة هي اربع و تلاتة هي اربع و تلاتة هي
+
+223
+00:19:07,970 --> 00:19:10,990
+اربع
+
+224
+00:19:10,990 --> 00:19:11,710
+و تلاتة
+
+225
+00:19:15,230 --> 00:19:22,050
+6.4 عفوا ارتفاع
+
+226
+00:19:22,050 --> 00:19:26,150
+المثلث بل زي ما هو بس انت روح تبطيه في ال base
+
+227
+00:19:26,150 --> 00:19:30,750
+تبعته بناء علشان ال scale الأصل إذا أنا بدي
+
+228
+00:19:30,750 --> 00:19:35,030
+المساحة كاملة لتصبح الضعف ال X و ال Y بيصير 2 لو
+
+229
+00:19:35,030 --> 00:19:39,110
+أنا قلتله 2Y معناته هذي هتصير 2 6 8
+
+230
+00:19:44,720 --> 00:19:49,660
+وفعليا حيصير ال height هذا ضعف ال height اللى
+
+231
+00:19:49,660 --> 00:19:53,120
+موجود عندى فى المتلقى عشان الدروع اللى انا انتمى
+
+232
+00:19:53,120 --> 00:19:58,380
+جداش انا مقدار الشكل اللى عندي طيب ال skin كذلك
+
+233
+00:19:58,380 --> 00:20:02,720
+تقتضى انه انا بدي اروح اصغر الحجم مش مستكبيره لو
+
+234
+00:20:02,720 --> 00:20:07,870
+انا بدي اصغره بدي اقعد فى castleبدي اضغط كسر
+
+235
+00:20:07,870 --> 00:20:12,210
+وبالتالي انت فعليا بدك تقبل المثلث او حجم المثلث
+
+236
+00:20:12,210 --> 00:20:15,830
+هيضعف وبالتالي حجم المثلث مش هيبقى .. يعني ال
+
+237
+00:20:15,830 --> 00:20:20,270
+point تبعتي مابضلتش هاش مكانها هتتغير باتجاهات
+
+238
+00:20:20,270 --> 00:20:24,890
+مختلفة طيب وبالتالي ال scaling معناته انا بتكلم
+
+239
+00:20:24,890 --> 00:20:28,710
+على ال direct coefficient تبعت مين تبعت ال
+
+240
+00:20:28,710 --> 00:20:36,990
+coordinates تبعتي يعني ال X براين تساوي A Xمعناته
+
+241
+00:20:36,990 --> 00:20:41,410
+الـ A هي عبارة عن الـ scaling factor و لا بقى Y'
+
+242
+00:20:41,950 --> 00:20:54,690
+تساوي CD DX زائد EY ال scaling factor تبع الأناصر
+
+243
+00:20:54,690 --> 00:21:00,710
+اللي عندها هتفجرنا
+
+244
+00:21:00,710 --> 00:21:03,890
+ال E و ال F هي عبارة عن ال translation factor
+
+245
+00:21:03,890 --> 00:21:06,150
+عناصر الإزاحة
+
+246
+00:21:08,880 --> 00:21:18,400
+وين ال C؟ اه اه ال C ال C مش قابل يحتاج ليه؟ لأ
+
+247
+00:21:18,400 --> 00:21:23,800
+فمعادلة مين هاي؟ Y المعادلة التانية لما انا كتبت
+
+248
+00:21:23,800 --> 00:21:30,380
+الآن X prime تسوى اتنين X Y prime تسوى اتنين Y كيف
+
+249
+00:21:30,380 --> 00:21:33,620
+نفسهم؟
+
+250
+00:21:33,620 --> 00:21:34,500
+هاي تلاتة
+
+251
+00:21:39,800 --> 00:21:43,940
+بس ال coefficient مرتبط معنى إذا أنا كتبتلك ال y
+
+252
+00:21:43,940 --> 00:21:49,700
+تسوى 2x او 3x اختلفت الأمور معاك بطبعت أتكلم على
+
+253
+00:21:49,700 --> 00:21:54,420
+scaling لقيمة ال x تبع ال y صرت بتكلم عن an
+
+254
+00:21:54,420 --> 00:21:59,080
+additional new value لك
+
+255
+00:21:59,080 --> 00:22:05,060
+لما أنا بدايش بقولك 2Y يعني كأنني بكتب المعادلة هي
+
+256
+00:22:05,060 --> 00:22:10,860
+تساوي 2X زائد صفر في Y زائد صفر تساوي صفر في X
+
+257
+00:22:10,860 --> 00:22:16,200
+زائد 2Y زائد صفر كيف هتزي بعض ال coefficient ايه
+
+258
+00:22:16,200 --> 00:22:20,820
+ال coefficient تساوي في المثال اللي موجود هنا الآن
+
+259
+00:22:20,820 --> 00:22:25,280
+في الصورة هاي مش متساويات
+
+260
+00:22:35,080 --> 00:22:39,660
+الـ coefficient تبع الـ X هو 2 بينما الـ
+
+261
+00:22:39,660 --> 00:22:47,780
+coefficient تبع الـ Y هو 1.5 مرة و نص الـ Y و
+
+262
+00:22:47,780 --> 00:22:48,660
+مرتين الـ X
+
+263
+00:22:55,140 --> 00:22:58,600
+مش محافظش على الشكل، محافظش على نسبة الزيادة،
+
+264
+00:22:58,600 --> 00:23:01,480
+ماوحدش نسبة الزيادة، لأ الشكل مش هيتغير فيه كتير
+
+265
+00:23:01,480 --> 00:23:07,920
+الشكل بس هتحسوا كإنه مطن عمله stretch تمام؟ مش
+
+266
+00:23:07,920 --> 00:23:12,220
+انتعوج، فرج، الأهل الشباب في خصائص ضبط الصورة على
+
+267
+00:23:12,220 --> 00:23:16,030
+سطح المكتب، في عندي خيار اسمه stretchأيش ال
+
+268
+00:23:16,030 --> 00:23:18,710
+stretch؟ انه مدّي بالصورة بحيث انه يبقى صورة في
+
+269
+00:23:18,710 --> 00:23:22,790
+المكتب بالكامل هكذا لو كانت الصورة عدد ال pixels
+
+270
+00:23:22,790 --> 00:23:26,670
+اللي فيها قليل بتحس الصورة بتصير عشو كنا بتتنتفق
+
+271
+00:23:26,670 --> 00:23:30,230
+تماما تماما لو كان في عندك صورة مطموعة على جماش
+
+272
+00:23:30,230 --> 00:23:34,250
+صورة مطموعة على جماش و لما بكل جماش بيبقى يطفو
+
+273
+00:23:34,250 --> 00:23:37,450
+طبيعية بتحس الصورة تنقل شده
+
+274
+00:23:40,230 --> 00:23:42,750
+بتحسوا زي المزايا لإن صار فيه فريات بين ال pixels
+
+275
+00:23:42,750 --> 00:23:47,650
+تمام؟ وبالتالي هاي موضوع هت stretch لكن في الآخر
+
+276
+00:23:47,650 --> 00:23:53,410
+ماحدش مقول .. ماحدش مقول إن ال scale دائما لازم
+
+277
+00:23:53,410 --> 00:23:57,960
+يكون قيمة ثابتةأو ال scale اللي بدي قبقه على ال Y
+
+278
+00:23:57,960 --> 00:24:03,080
+هو نفس ال scale اللي بدي قبقه على ال X أو على ال Z
+
+279
+00:24:03,080 --> 00:24:07,520
+كذلك محدش مبني نفس الإزاحة اللي بدي أعملها لأن
+
+280
+00:24:07,520 --> 00:24:13,900
+ممكن أنا بدي أغير الشكل بدي أعمل sharing للمثلث
+
+281
+00:24:13,900 --> 00:24:22,220
+بدي أبعده أقطحه يعني بدل من المثلث okay
+
+282
+00:24:35,580 --> 00:24:39,760
+هذا المثلث بدل المثلث يجب ان يكون بالشكل هذا انا
+
+283
+00:24:39,760 --> 00:24:44,100
+بضغو حيش اضغو المثلث بالشكل هذا بحيث انه يصير فيه
+
+284
+00:24:44,100 --> 00:24:47,980
+بدل ما كان متزهد متزهو أطلع بضرح اخلي مثلا قائم
+
+285
+00:24:47,980 --> 00:24:53,180
+ازاية بشكل او باخر هذا الكلام يقتضي ان قيمة ال X
+
+286
+00:24:53,180 --> 00:24:56,220
+مش نفس القيمة اللي تتأثر فيها ال Y تمام يا شباب؟
+
+287
+00:25:08,740 --> 00:25:16,160
+reflection الانعكاس شو يعني انعكاس انت
+
+288
+00:25:16,160 --> 00:25:22,140
+رسمت على اليمن بدون عكس على الشمال فانها هي الشكل
+
+289
+00:25:22,140 --> 00:25:26,520
+في اليمن حسب
+
+290
+00:25:26,520 --> 00:25:30,400
+اتجاه الانعكاس اذا انا بتكلم عن الانعكاس حول ال y
+
+291
+00:25:30,400 --> 00:25:36,980
+axis معناه الشكل بده يصير هكذا و اذا انا بتكلم عن
+
+292
+00:25:36,980 --> 00:25:45,390
+حوالينالـ X-axis مهتش شكل اللي بده ينزل لتحت بينما
+
+293
+00:25:45,390 --> 00:25:50,730
+الانعكاس تماما بقى تتخيل المرايا محور الانعكاس
+
+294
+00:25:50,730 --> 00:25:54,390
+الآن ضروري يتحدّب هاي فيه هندق ان الشكل هاي الشكل
+
+295
+00:25:54,390 --> 00:25:58,690
+الأساسي انعكاسه
+
+296
+00:25:58,690 --> 00:26:05,810
+حول ال Y-axis هايه تضرب في سالب لأن السلب هو اللي
+
+297
+00:26:05,810 --> 00:26:11,270
+بيغير اتجاهأيوة تسالب .. تسالب واحد تمام؟ تسالب
+
+298
+00:26:11,270 --> 00:26:18,110
+لمن؟ لل X و بال Y بيبقى ثابتة .. بيبقى ثابتة لو
+
+299
+00:26:18,110 --> 00:26:26,850
+أنا سألتك و قلتلك أنا في عندي مثلث هم بس
+
+300
+00:26:26,850 --> 00:26:29,890
+اسمه على الآخر، بيعمله معكاس حول نقطة الأصل
+
+301
+00:26:39,440 --> 00:26:44,500
+هك بده يصير شكل مثلث فبالتالي او طبيعي الان
+
+302
+00:26:44,500 --> 00:26:49,720
+الانعكاس مباشرة انت تخيل المرايا تحت ان انت واقف
+
+303
+00:26:49,720 --> 00:26:56,020
+على سطح او غربية عبارة عن مرآة مهمش يعني هتشوف
+
+304
+00:26:56,020 --> 00:26:59,980
+راسك تحت رجليك لأ الاصل ان المنطقة تحت رجليك هم
+
+305
+00:26:59,980 --> 00:27:04,780
+اللي عاملات الانعكاس مظبوط؟ و بتحس انت ده براسك؟
+
+306
+00:27:04,780 --> 00:27:09,600
+بتحسه طولك؟ حقيقي لو كنت واقفبالاتجاه هذا المرايا
+
+307
+00:27:09,600 --> 00:27:14,840
+على يمينك حقاً مش هتشوفيناك الشمال في رأيك ولا شو
+
+308
+00:27:14,840 --> 00:27:20,540
+رأيك فاللي هيبين الجزء المقابل اللي موجود وبالتاني
+
+309
+00:27:20,540 --> 00:27:23,420
+لو فعلياً صاروا دوران بالاتجاه التاني عشان هيك
+
+310
+00:27:23,420 --> 00:27:28,320
+مافيش بناك تراعي نحو الانعكاس وين اتجاههم وأقدر
+
+311
+00:27:28,320 --> 00:27:32,980
+وزي ما قلنا سابقا اللي بتعمل انعكاس لل point ضربها
+
+312
+00:27:32,980 --> 00:27:36,840
+في سالب واحد انعكاس مقداره مية و تمانين درجة يعني
+
+313
+00:27:36,840 --> 00:27:46,390
+على خط مستقيمالمقبة هذه بتصير هنا او بين دوسين كل
+
+314
+00:27:46,390 --> 00:27:51,410
+مقبة بتبعد نفس المسافة اللي بينها و بين محور
+
+315
+00:27:51,410 --> 00:27:59,490
+الانعكاس المقبة هذه والمقبة هذه متساوتين rotate
+
+316
+00:28:07,300 --> 00:28:13,760
+هذه الشكل وهذا مربع جدّامك مربع الان rotate معناه
+
+317
+00:28:13,760 --> 00:28:20,140
+ان انا بدي اعمله هيك ده دوره عملتهوش انعكاس طبعا؟
+
+318
+00:28:20,140 --> 00:28:26,540
+ايوه الان الانعكاس الانعكاس نتكلم على انه الشكل
+
+319
+00:28:26,540 --> 00:28:30,180
+مية و تمانين درجة اتغير الان كمان مراهين مثلث
+
+320
+00:28:33,640 --> 00:28:45,040
+بالشكل هذا و الإعكاس هنا على ال y axis هيك
+
+321
+00:28:45,040 --> 00:28:52,280
+الإعكاس rotate ممكن يدول في مكانه يصير
+
+322
+00:28:52,280 --> 00:28:56,740
+هيك هي rotateانا حرقته شوية جدش امتل روتيت في
+
+323
+00:28:56,740 --> 00:28:59,580
+زاوية معينة انا حركته فيها روتيت المقدار تلاتين
+
+324
+00:28:59,580 --> 00:29:02,500
+درجة تسعين درجة مية و تمانين درجة فبتصير الأمور
+
+325
+00:29:02,500 --> 00:29:08,320
+لما انا بتكلم على انعكاس بتكلم على rotation مية و
+
+326
+00:29:08,320 --> 00:29:12,960
+تمانين درجة
+
+327
+00:29:12,960 --> 00:29:16,460
+نعم
+
+328
+00:29:16,460 --> 00:29:20,740
+scaling
+
+329
+00:29:20,740 --> 00:29:26,020
+هنتكلم عليهم هنتكلم عليهمالان معناته انا صراحة
+
+330
+00:29:26,020 --> 00:29:29,920
+عندي لما صرت باتكلم على انعكاس خليني اتكلم في نفسي
+
+331
+00:29:29,920 --> 00:29:32,320
+اتكلم على انعكاس مرة تانية لما انا باتكلم على
+
+332
+00:29:32,320 --> 00:29:39,780
+انعكاس دائما بتكلم relative to تبع لأيه؟ لإيش؟
+
+333
+00:29:39,780 --> 00:29:44,000
+للمحوى الان المحاور الأساسية اللي هتكلم عليها
+
+334
+00:29:44,000 --> 00:29:50,080
+الشباب هم ال X وY كمان؟ لكن أحيانا ممكن أشي أقولك
+
+335
+00:29:51,210 --> 00:29:55,590
+لأ في الـ 2D كمان العكاس على المحور اللي دي X تسوى
+
+336
+00:29:55,590 --> 00:30:00,510
+واحد X
+
+337
+00:30:00,510 --> 00:30:12,910
+تسوى واحد وين المساحة؟ هاي X تسوى واحد تمام
+
+338
+00:30:12,910 --> 00:30:17,350
+النقطة اللي هي دي ماصلهاش تغييربينما النقطة هذه
+
+339
+00:30:17,350 --> 00:30:20,550
+هيها النقطة هذه مصاريها اشتغل بينما النقطة التانية
+
+340
+00:30:20,550 --> 00:30:32,510
+هيها النقطة هذه اتقرت لهاني وبالتاني وهي هي صحيك؟
+
+341
+00:30:32,510 --> 00:30:42,350
+لأ مش فاجلوب العكس وهذه هتيجي هنا هي
+
+342
+00:30:42,350 --> 00:30:47,680
+بإعكاسوبالتالي الانعكاس دائما دائما حوالي النحوار
+
+343
+00:30:47,680 --> 00:30:54,300
+لو انا جيت جولة انعكاس حوال نقطة الاصل معناته نقطة
+
+344
+00:30:54,300 --> 00:30:57,220
+الاصل هاي المحور تبعي اللي انا بدي اتكلم عليه
+
+345
+00:30:57,220 --> 00:31:01,640
+انعكاس كل اللقات بيتصير على ال distance تبعتي هيها
+
+346
+00:31:01,640 --> 00:31:05,660
+نقطة الاصل او هي هي هيك هي المحور تبعي اللي انا
+
+347
+00:31:05,660 --> 00:31:09,280
+بدي اعكس عليه الشكل تمام
+
+348
+00:31:13,220 --> 00:31:21,120
+إذا أنا قلت الإعكاس حول ال X-axis معناته ال Y
+
+349
+00:31:21,120 --> 00:31:26,500
+بتتغير في سالب حول ال X-axis ال X-axis الخط الأفقي
+
+350
+00:31:26,500 --> 00:31:32,420
+معناته القيمة اللي فوق بتتصير تحت طب ال X زي ما هي
+
+351
+00:31:32,420 --> 00:31:37,360
+طب اللي تحت في ال Y بتتصير فوق لو قلت إعكاس حول ال
+
+352
+00:31:37,360 --> 00:31:42,400
+Y-axis ال Y تابعة اللي بتصير التغير على مين؟ على
+
+353
+00:31:42,400 --> 00:31:52,700
+ال Xالان هذا الانعكاس بتغير في الاتنين وإذا انا
+
+354
+00:31:52,700 --> 00:31:58,020
+اتكلمت انعكاس حول نقطة الاصل معناته اتنين بيتغير
+
+355
+00:31:58,020 --> 00:32:06,920
+وانضربه في سالب واحد طيب واضحة
+
+356
+00:32:06,920 --> 00:32:11,750
+الأمور يا شباب حتى اللحظةفي حد سؤال اعتقد عالي او
+
+357
+00:32:11,750 --> 00:32:14,990
+كامل مش فاكر او معتصر واحد من الشباب اللي هان سأل
+
+358
+00:32:14,990 --> 00:32:19,150
+سؤال جال الدكتور هل بقدر انا اطبق اكثر من ال
+
+359
+00:32:19,150 --> 00:32:25,430
+transformation في نفس الوجت بقدر اطبق اكتر من ال
+
+360
+00:32:25,430 --> 00:32:28,170
+translation او ال transforms في نفس الوجت اه بقدر
+
+361
+00:32:28,170 --> 00:32:35,830
+لو انا اجيت وقلتلك X تساوي 2X
+
+362
+00:32:35,830 --> 00:32:44,370
+انا عملت scaling لل Xزائد تلاتة أعملت إزاحة و لو
+
+363
+00:32:44,370 --> 00:32:48,930
+كانت رسالة باتنين معناه تقول أعملت العكاس طب أطب
+
+364
+00:32:48,930 --> 00:32:53,510
+اتنين فيهم جدل مش هتفرج كتير معاك مش هتفرج كتير
+
+365
+00:32:53,510 --> 00:32:56,650
+معاك لإن هي عبارة عن معادلة رياضية هتيجي تاخد
+
+366
+00:32:56,650 --> 00:33:01,950
+المقطة هي صفر و تلاتة و خم نقول ال Y تساوي واحد و
+
+367
+00:33:01,950 --> 00:33:08,010
+نص Y زائد واحد هذه المقطة ال transformation تبقى
+
+368
+00:33:08,010 --> 00:33:08,670
+تجدش
+
+369
+00:33:11,370 --> 00:33:17,330
+الان ال X تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+370
+00:33:17,330 --> 00:33:20,170
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+371
+00:33:20,170 --> 00:33:23,770
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+372
+00:33:23,770 --> 00:33:25,230
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+373
+00:33:25,230 --> 00:33:25,370
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+374
+00:33:25,370 --> 00:33:26,870
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+375
+00:33:26,870 --> 00:33:33,430
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+376
+00:33:33,430 --> 00:33:37,630
+تلاتة
+
+377
+00:33:40,660 --> 00:33:47,240
+مصبوط جديد صارت تلاتة و خمسة و نص هاي واحد اتنين
+
+378
+00:33:47,240 --> 00:33:57,480
+هاي تلاتة تقريبا هان تلاتة و خمسة و نص هل تم
+
+379
+00:33:57,480 --> 00:34:04,520
+الانعكاس للنقطة هاي هل
+
+380
+00:34:04,520 --> 00:34:10,930
+تم الانعكاسماصارش في انعكاس لأن ال value تبعتي صفر
+
+381
+00:34:10,930 --> 00:34:14,590
+فراحت ال factor تبع الانعكاس من المحط مالوش تأثير
+
+382
+00:34:14,590 --> 00:34:21,230
+لكن لو أجينا لنقطة تانية زي واحد و اتنين لو واحد و
+
+383
+00:34:21,230 --> 00:34:28,210
+اتنين واحد و اتنين شو بيحصل يا شباب سالب اتنين و
+
+384
+00:34:28,210 --> 00:34:33,750
+واحد واحد مظبوط والتانية
+
+385
+00:34:37,450 --> 00:34:45,070
+واحد و نص تلاتة و واحد اربعة وان كانت النقطة
+
+386
+00:34:45,070 --> 00:34:53,990
+تبعتنا واحد و اتنين هي واحد اتنين لإعكاس
+
+387
+00:34:53,990 --> 00:34:59,210
+هذا حولي ايه يا شباب ال Y Axis ايه صارت عند النقطة
+
+388
+00:34:59,210 --> 00:35:02,010
+واحد و اربعة
+
+389
+00:35:05,420 --> 00:35:10,960
+لازم يكون الدار زيادة again في الآخر في الآخر انا
+
+390
+00:35:10,960 --> 00:35:14,360
+عندي الإشارة السالدة يعني صار فيه reflection و
+
+391
+00:35:14,360 --> 00:35:20,300
+عادة يا شباب عادة في المراية لما تطلع في المراية
+
+392
+00:35:20,300 --> 00:35:25,640
+بتحس ال distance اللي موجودة بين جدار المراية و
+
+393
+00:35:25,640 --> 00:35:30,940
+صورتكتمام؟ يعني ايه؟ ممكن هي فعليا مافيش شيء مش
+
+394
+00:35:30,940 --> 00:35:33,280
+موجود ال distance صفر، لكن انت صرت كلك جواك
+
+395
+00:35:33,280 --> 00:35:37,160
+المرايا، بصبور؟ لكن بتحس بفعلا في مسافة، يعني انت
+
+396
+00:35:37,160 --> 00:35:42,840
+لو لسقت، جربت من المرايا، هتكون المسافة عندك يعني
+
+397
+00:35:42,840 --> 00:35:46,700
+يعني عفوا بيبينك .. بيبينك المسافة بين الجدار أو
+
+398
+00:35:46,700 --> 00:35:50,330
+بين .. بداية المراياو ال distance اللي بينهم
+
+399
+00:35:50,330 --> 00:35:53,090
+الصورة يعني بتعكس الصورة الحقيقية لل element
+
+400
+00:35:53,090 --> 00:35:56,730
+وبالتالي لما انا اتكلم على معكاس بدي أنتبه كمان
+
+401
+00:35:56,730 --> 00:36:00,380
+لما تنسخ لموضوع ال scaling هانأنا صار في عندي
+
+402
+00:36:00,380 --> 00:36:03,340
+إمعكاس و صار في عندي scaling مع بعضه وبالتالي ممكن
+
+403
+00:36:03,340 --> 00:36:06,300
+ال scaling رح رمى النقطة بعد ما صارت ودأني
+
+404
+00:36:06,300 --> 00:36:10,160
+الإمعكاس جاب ليها لاتجاه التاني لما ضربت في التنين
+
+405
+00:36:10,160 --> 00:36:15,000
+عملت scaling رح ردها و لإزاحة كمان عشان هيكب أنه
+
+406
+00:36:15,000 --> 00:36:18,640
+ماشوفتش تأثير الإمعكاس فعليا إلا غير ما يكون
+
+407
+00:36:18,640 --> 00:36:24,000
+الإمعكاس لوحدي بتشوفه الإمعكاس حقيقي تمام؟ ايه شهد
+
+408
+00:36:24,000 --> 00:36:29,230
+أنه علاقته في المصفوفات؟ علاقته في المصفوفاتان لو
+
+409
+00:36:29,230 --> 00:36:35,370
+انا اجيتك التالي بدي وصلني ان هذه المعادلة مش
+
+410
+00:36:35,370 --> 00:36:40,410
+هاتهمني كتير سواء طبقت الانعكاس او ال scaling او
+
+411
+00:36:40,410 --> 00:36:45,050
+ال translation في الاول تمام؟ تعالى نراها مع بعض
+
+412
+00:36:45,050 --> 00:36:48,510
+او نشوف بعض بعض المبادئ اللي لها علاقة بالمصفوفة
+
+413
+00:36:48,510 --> 00:36:53,970
+بعيدا
+
+414
+00:36:53,970 --> 00:37:00,720
+عن ال translation الازاحةx prime تساوي ax زائد by
+
+415
+00:37:00,720 --> 00:37:04,060
+هدا
+
+416
+00:37:04,060 --> 00:37:09,980
+ال translation الأول y prime تساوي cx زائد d لو ال
+
+417
+00:37:09,980 --> 00:37:12,060
+translation التاني بدو يصير على ال translation
+
+418
+00:37:12,060 --> 00:37:17,420
+الأول ايش يعني بعد ما انا عملت إزاحة تمام بدروح
+
+419
+00:37:17,420 --> 00:37:21,880
+أضرب في سالب أو بعد ما ضربت في سالب بدروح أعمل
+
+420
+00:37:21,880 --> 00:37:26,140
+scale يعني انا شيلنا الإزاحة يعني عفوا من هنا يعني
+
+421
+00:37:26,140 --> 00:37:30,580
+بين بوسينصارت عند الـ translations التانية الـ
+
+422
+00:37:30,580 --> 00:37:35,100
+transforms التانية عفوا تساوي a cost coefficient
+
+423
+00:37:35,100 --> 00:37:38,680
+تجي ده في x prime اللي هي نتيجة على ال translation
+
+424
+00:37:38,680 --> 00:37:45,220
+الأول هي تماما لما انا باجي بقول x prime تساوي 2x
+
+425
+00:37:45,220 --> 00:37:54,680
+انا بعمل scaling بدي اعمله مع إعكاس مصبوط
+
+426
+00:37:54,680 --> 00:38:01,690
+اللي هي تساويسالب اتنين X صار
+
+427
+00:38:01,690 --> 00:38:04,650
+في عندي coefficient جديد و بال coefficient الجديد
+
+428
+00:38:04,650 --> 00:38:07,490
+يعني بين المثلين صارت و كأنني انا ضربت ال A
+
+429
+00:38:07,490 --> 00:38:12,750
+الجديدة او السالبة في كل المعادلة تبعت X prime
+
+430
+00:38:12,750 --> 00:38:16,810
+وبالتالي هذه هي صورة المعادلة النهائية اللي موجودة
+
+431
+00:38:16,810 --> 00:38:21,790
+عندها يعني مفهولها شباب ان ال transforms التاني
+
+432
+00:38:21,790 --> 00:38:26,890
+مبق على ال transform الأوليعني انا صارت عندي A او
+
+433
+00:38:26,890 --> 00:38:32,150
+XW' التاني تساوي capital A ك coefficient مضروبة في
+
+434
+00:38:32,150 --> 00:38:35,590
+ال transform الأول من ال transform الأول هيه؟ تبعت
+
+435
+00:38:35,590 --> 00:38:41,410
+ال X زائد B capital في ال transform على ال Y وهي
+
+436
+00:38:41,410 --> 00:38:44,410
+ال transform الأول تبعت ال Y يعني هي كتصار عند ال
+
+437
+00:38:44,410 --> 00:38:50,670
+transform التاني يساوي A capital مضروبة في Ax زائد
+
+438
+00:38:50,670 --> 00:39:01,330
+By بصبرت؟ زائدبكبيتل مضروبة في CX زائد BY لأن هم
+
+439
+00:39:01,330 --> 00:39:04,590
+مبني على ال transform الأول اللي موجود عندي هان
+
+440
+00:39:04,590 --> 00:39:09,590
+طيب شو عناقر ال transform بالمصففات ال transform
+
+441
+00:39:09,590 --> 00:39:19,650
+ال transform الناتج عنه X prime وY prime ال
+
+442
+00:39:19,650 --> 00:39:25,970
+coefficient تبعه تكانهم A وB وC وDلو انا حققت
+
+443
+00:39:25,970 --> 00:39:30,890
+الدرب هذا a في x صف الأول في العمود الأول ax زائد
+
+444
+00:39:30,890 --> 00:39:42,030
+dy هذي تاع اتنين صف
+
+445
+00:39:42,030 --> 00:39:49,980
+cx زائد dy هذي ال transformation تبعتيوالـ
+
+446
+00:39:49,980 --> 00:39:53,580
+Transformation هذا كمان لجديد الـ Transformation
+
+447
+00:39:53,580 --> 00:39:58,000
+التاني هتصف المسألة عندي عبارة عن مجموعة إيش؟
+
+448
+00:39:58,000 --> 00:40:03,200
+مصفوفات المصفوفة الأولى في المصفوفة التانية في ال
+
+449
+00:40:03,200 --> 00:40:06,560
+vector الأخير اللي هو ال column vector اللي هو ال
+
+450
+00:40:06,560 --> 00:40:14,560
+X والY وبناءً عليه بتصف المسألة عندي I second
+
+451
+00:40:14,560 --> 00:40:20,850
+انتهى الأمربتقظم هذه الحالة هي نفسها و لا شو
+
+452
+00:40:20,850 --> 00:40:26,810
+رايكوا بس الان هذه raw vector و هذه kid او هذه
+
+453
+00:40:26,810 --> 00:40:32,630
+column vector و ال determinant بنعرف نحسبه أخدناه
+
+454
+00:40:32,630 --> 00:40:38,770
+مصبوط الان في عندي شغلة اسمها homogeneous
+
+455
+00:40:38,770 --> 00:40:45,250
+coordinates homogeneous coordinates
+
+456
+00:40:48,540 --> 00:40:53,060
+Homogeneous Coordinate الـ Homogeneous Coordinate
+
+457
+00:40:53,060 --> 00:40:58,880
+لو كان فيه عنده نقطة X و Y لو كان فيه عنده نقطة ..
+
+458
+00:40:58,880 --> 00:41:05,560
+لو كان فيه عنده نقطة X و Y الـ Homogeneous Point
+
+459
+00:41:05,560 --> 00:41:11,900
+تبعتها هي عبارة عن X مضروبة في T زائد Y مضروبة في
+
+460
+00:41:11,900 --> 00:41:18,040
+T زائد T يعني صحيح كأني بتكلم على 3D Pointالـ
+
+461
+00:41:18,040 --> 00:41:24,000
+homogeneous point لنقطة في الـ 2D تصير 3D يعني لو
+
+462
+00:41:24,000 --> 00:41:30,720
+أنا جيت قولت ال point تبعتي هذه واحد و تلاتة واحد
+
+463
+00:41:30,720 --> 00:41:36,040
+و تلاتة هاتلي homogeneous point أيها ممكن اتكلم
+
+464
+00:41:36,040 --> 00:41:42,300
+اتنين و ستة و اتنين او اجي اقول تلاتة و تسعة و
+
+465
+00:41:42,300 --> 00:41:48,320
+تلاتة او ممكن اجي اقول عشرة و تلاتينعشرة الفكرة
+
+466
+00:41:48,320 --> 00:41:57,300
+كلها تهيئن في ال T التي هي value تبع ال Z عشرة و
+
+467
+00:41:57,300 --> 00:42:01,660
+تلاتين و خمسة غلط ولا عمرها بتكون homogeneous
+
+468
+00:42:01,660 --> 00:42:06,400
+point ليش؟ خمسة ضرب
+
+469
+00:42:31,790 --> 00:42:40,100
+انت الآن كمان مرة بتقول عشرة تلاتين خمسةخمسة قول
+
+470
+00:42:40,100 --> 00:42:42,340
+هذا الكلام غلط لأنه كمان مرة هي ال point تبعتي
+
+471
+00:42:42,340 --> 00:42:55,000
+خمسة في واحد أصل خمسة خمسة في تلاتة خمستاشر
+
+472
+00:42:55,000 --> 00:43:02,120
+فال homogeneous لو أنا اجيت سألتك على أي نقطة و
+
+473
+00:43:02,120 --> 00:43:07,520
+قلتلك هيهاالنقطة 6,8,2 هل هي homogenous point
+
+474
+00:43:07,520 --> 00:43:15,300
+للنقطة 3 و 4 مباشرة خد ال X و جسمها على 2 و خد ال
+
+475
+00:43:15,300 --> 00:43:22,280
+Y جسمها على 2 اذا طلعت معاك 3 و 4 ماته هى
+
+476
+00:43:22,280 --> 00:43:25,780
+homogenous point للنقطة هى ليش انا بيتكلم على ال
+
+477
+00:43:25,780 --> 00:43:29,780
+homogenousلأنه انا حاجة كمان شوية او كمان خطوة بدي
+
+478
+00:43:29,780 --> 00:43:33,820
+اكبر المصورة بتاعتي بدل ما هي 2 في 2 بديها تصير 3
+
+479
+00:43:33,820 --> 00:43:40,020
+في 3 بس الواحد انا بديش يأثر عندي في المسألة الان
+
+480
+00:43:40,020 --> 00:43:45,340
+واحد و تلاتة واحد homogeneous point للمقمة واحد و
+
+481
+00:43:45,340 --> 00:43:45,600
+تلاتة
+
+482
+00:43:49,560 --> 00:43:53,040
+بأثرش في المسألة لكن homogenous point اجتبت اوقل
+
+483
+00:43:53,040 --> 00:43:58,320
+ال point تبعتي من ال 2D ل ال 3D بدون ما يغير على
+
+484
+00:43:58,320 --> 00:44:04,220
+النقطة بشكل واضح تمام وبالتالي انا بقدر امثل
+
+485
+00:44:04,220 --> 00:44:09,080
+النقاط تبعتي بشكلها النقاط
+
+486
+00:44:09,080 --> 00:44:12,740
+المثلث هذا ممكن اعملها انعكاس او اروح باتجاه ال Z
+
+487
+00:44:12,740 --> 00:44:20,270
+حسب قيمة ال homogenous اللي موجود عندهاو هذا هو
+
+488
+00:44:20,270 --> 00:44:23,530
+اللي احنا بنسميه تسلسل ال position تبع ال views
+
+489
+00:44:23,530 --> 00:44:30,330
+الان هذا المثلث لو
+
+490
+00:44:30,330 --> 00:44:35,510
+انا بانظرله من النقطة هذه هشوفه كبير ابعد عنه شوية
+
+491
+00:44:35,510 --> 00:44:41,530
+هيصغر هيصغر هيصغر مظبوط بيصغر حرام عليك يا شيخ
+
+492
+00:44:41,530 --> 00:44:45,710
+هنصير النقطة تبعتي اكبر منه فعلياً صارت ال view
+
+493
+00:44:45,710 --> 00:44:51,860
+تبعتي كل نبة ال view تبعتي كل نبة بتتسعو نسبة حجم
+
+494
+00:44:51,860 --> 00:44:55,800
+المثلث لل view كلها بتصغر بس ال view هو غاليا
+
+495
+00:44:55,800 --> 00:44:59,560
+المثلث حجمه مابتغير حاجة نسبته لل view وبالتالي
+
+496
+00:44:59,560 --> 00:45:02,300
+انا ال transformation او ال homogeneous point هذا
+
+497
+00:45:02,300 --> 00:45:08,420
+بتلزمني في هيك شغل لل 3D
+
+498
+00:45:08,420 --> 00:45:14,960
+هي الفكرة هيك عشان انا بكل بساطة بدي ادخل ال
+
+499
+00:45:14,960 --> 00:45:20,570
+factorE وF في معادلتي انا معادلة لـ Transformation
+
+500
+00:45:20,570 --> 00:45:25,050
+تبعتي لما اتكلمت على المصففات اتكلمت فقط على
+
+501
+00:45:25,050 --> 00:45:29,490
+معاملين او two transforms اتكلمت على الـ Scale و
+
+502
+00:45:29,490 --> 00:45:33,930
+اتكلمت على الـ Reflect بينما كانت المعادلة الأصلية
+
+503
+00:45:33,930 --> 00:45:43,050
+X prime تساوي Ax زائم By زائم C وكانت الـ Z' أو Y
+
+504
+00:45:43,050 --> 00:45:51,180
+prime تساويDX زائد EY زائد F لما أنا اتكلمت على
+
+505
+00:45:51,180 --> 00:45:57,260
+المصففات أخدت فقط مين يا شباب؟ أخدت A, B وD وE و
+
+506
+00:45:57,260 --> 00:46:01,020
+الـ C و الـ F و رحوا بما هم هم هتترانسفورمهم اللي
+
+507
+00:46:01,020 --> 00:46:05,400
+هو بيعمل إزاحة عشان أنا أقدر أظن و أنا متباين منك
+
+508
+00:46:05,400 --> 00:46:09,840
+لازم ال coefficient تبعت واحد لما ال coefficient
+
+509
+00:46:09,840 --> 00:46:14,850
+تبعت لا هي X عفوا، هذه مضرودة في واحدمش مضربة لا
+
+510
+00:46:14,850 --> 00:46:18,450
+في X ولا مضربة في زرد ولا مضربة في Y وبالتالي انا
+
+511
+00:46:18,450 --> 00:46:22,270
+بديها كما هي الحل انه انا اضيف او ازيد ال
+
+512
+00:46:22,270 --> 00:46:27,330
+dimensionality تبعت المصفوفة صف جديد لأ صف جديد
+
+513
+00:46:27,330 --> 00:46:35,750
+الصف الجديد ليش نام تبعته صفر صفر واحد عشان اقدر
+
+514
+00:46:35,750 --> 00:46:39,610
+اجيب العمود لما اقولك الآن خد الصف الأول في العمود
+
+515
+00:46:39,610 --> 00:46:46,490
+الأولهتقول ال A في X زي ال B في Y زي ال E في 1
+
+516
+00:46:46,490 --> 00:46:53,810
+برنامج هي هذه X و Y و 1 هي عبارة عن ال homogeneous
+
+517
+00:46:53,810 --> 00:47:00,550
+point ل X و Y و للان وبالتالي انا مااصل فيهم تغيير
+
+518
+00:47:00,550 --> 00:47:04,770
+في موضوع ال transform اللي موجود بكل بساطة يا شباب
+
+519
+00:47:04,770 --> 00:47:11,920
+بكل بساطة انا الان بدي اجيب او بدي ادخلالـ E و الـ
+
+520
+00:47:11,920 --> 00:47:16,560
+F على المصفوفة تبعتي اللي مثلت لـ Transform عشان
+
+521
+00:47:16,560 --> 00:47:20,300
+امثل الـ E و الـ F لان صار في عندي عمود تالت صار
+
+522
+00:47:20,300 --> 00:47:24,080
+في عندي عمود تالت وهذا يقتضي مني أكمل المصفوفة
+
+523
+00:47:24,080 --> 00:47:27,360
+تصير ثلاثة في ثلاثة ايش القيام اللي هكمل فيها الصف
+
+524
+00:47:27,360 --> 00:47:33,120
+صفر صفر واحد و كذلك بدي استخدم ال core vector تبعي
+
+525
+00:47:33,120 --> 00:47:39,210
+homogeneous vector أو homogeneous pointX Y و 1
+
+526
+00:47:39,210 --> 00:47:42,090
+عشان عملية الدرب اللي قادش يقولك ها تعالى نحاول
+
+527
+00:47:42,090 --> 00:47:46,490
+نضرب المسؤولات كلها يا شباب هضربنا الآن A B E في X
+
+528
+00:47:46,490 --> 00:47:56,630
+Y و 1 مظبوط نتجعلها A X زي B Y زي E C D و F C X D
+
+529
+00:47:56,630 --> 00:48:03,170
+Y زي F كم من عملية الدرب صفر في الاخير صفر في X
+
+530
+00:48:03,170 --> 00:48:07,890
+صفر في Y زي 1 في 1بالتالي المعادلة out بتبقى صحيح
+
+531
+00:48:07,890 --> 00:48:11,750
+100% مظبوط ولا لأ وبالتالي انا هاي المعادلتيها
+
+532
+00:48:11,750 --> 00:48:16,730
+الأساسيات هانو مش حاببني ولا حد جديدة هتأثر في ال
+
+533
+00:48:16,730 --> 00:48:22,270
+transform تبعتي لما أقولك واحد equal واحد حتما لأ
+
+534
+00:48:45,380 --> 00:48:51,080
+معادلة زي هذه ايش بتعني بالنسبالك Translate و لا
+
+535
+00:48:51,080 --> 00:48:58,220
+Scale و لا Reflection Translate اذاحة مصبور هل
+
+536
+00:48:58,220 --> 00:49:04,080
+بقدر اسقطها على المصفوفة تبعتي اه بقدر بقدر الان
+
+537
+00:49:04,080 --> 00:49:08,300
+هذه المصفوفة وهنا
+
+538
+00:49:08,300 --> 00:49:16,050
+هيكون عندى x و y و 1حسب المعادلة واحد في X صفر في
+
+539
+00:49:16,050 --> 00:49:23,210
+Y وهذه TX هي مقدار ال translation بالنسبة لمعامل
+
+540
+00:49:23,210 --> 00:49:32,370
+ال Y صفر لل X ال translation صفر صفر واحد مش T
+
+541
+00:49:32,370 --> 00:49:37,710
+الأخيرة صفر واحد هذه واحدعشان عملية الضر في الآخر
+
+542
+00:49:37,710 --> 00:49:41,790
+تسوى واحد يساوي واحد الاد لو ماكانش عندي هان
+
+543
+00:49:41,790 --> 00:49:46,250
+translation في ال Y صفر
+
+544
+00:49:46,250 --> 00:49:50,950
+مافيش translation هذه المصفوفة الأولى هذه اللي
+
+545
+00:49:50,950 --> 00:49:56,970
+عندي هان لو انا اتكلم على scaling Y X Prime تساوي
+
+546
+00:49:56,970 --> 00:50:11,320
+S في X Y PrimeSx و سي في
+
+547
+00:50:11,320 --> 00:50:16,640
+الـ y بدي أعمل مصفوفة بنفس الكلام حاجة مباشرة هاي
+
+548
+00:50:16,640 --> 00:50:22,600
+المصفوفة و هاي اللي عندها x y واحد و هذه صفر صفر
+
+549
+00:50:22,600 --> 00:50:32,790
+واحد معامل الـ x Sx صفر و لترانسليشن صفربالنسبة لل
+
+550
+00:50:32,790 --> 00:50:40,110
+Y صفر S Y صفر طيب تخيلي الآن انا ال transformation
+
+551
+00:50:40,110 --> 00:50:49,730
+تبعي بقول X prime تساوي S X في X زائد T X Y prime
+
+552
+00:50:49,730 --> 00:50:56,950
+ده تساوي S Y في Y زائد T Y ايش الحجز زيب عندي في
+
+553
+00:50:56,950 --> 00:51:09,240
+المصفوفة؟ وكإن بجاحك ده اجمعالـ Tx و
+
+554
+00:51:09,240 --> 00:51:13,860
+الـ Ty factor اللي موجود عندي تبع الإزاحة اللي
+
+555
+00:51:13,860 --> 00:51:14,100
+عندي
+
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/5VFioizMPuo_raw.json b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/5VFioizMPuo_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..7a8c62250c00fed7297be30d1ea31b5d029d8004
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/5VFioizMPuo_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3483, "start": 20.97, "end": 34.83, "text": "بسم الله والحمد لله والصلاة والسلام علي رسول الله اللهم السلام على الشباب فيكوا اليوم ان شاء الله هنكمل chapter ال determinant ال chapter بالمجموع القصير و .. كنا", "tokens": [3555, 38251, 21984, 16070, 35571, 3215, 24976, 3224, 16070, 9381, 15040, 3660, 16070, 3794, 37440, 25894, 12602, 3794, 12610, 21984, 13672, 16095, 21136, 37440, 15844, 25124, 3555, 16758, 8978, 4117, 14407, 45595, 20498, 16472, 13412, 16606, 21984, 8032, 1863, 24793, 1211, 7187, 2423, 41296, 2423, 7187, 20666, 2304, 7435, 2304, 45367, 25062, 9381, 13546, 4032, 4386, 9122, 8315], "avg_logprob": -0.2347722487934565, "compression_ratio": 1.68125, "no_speech_prob": 1.7881393432617188e-06, "words": [{"start": 20.97, "end": 21.25, "word": "بسم", "probability": 0.80224609375}, {"start": 21.25, "end": 21.35, "word": " الله", "probability": 0.96630859375}, {"start": 21.35, "end": 21.67, "word": " والحمد", "probability": 0.8790690104166666}, {"start": 21.67, "end": 21.85, "word": " لله", "probability": 0.960693359375}, {"start": 21.85, "end": 22.15, "word": " والصلاة", "probability": 0.88525390625}, {"start": 22.15, "end": 22.51, "word": " والسلام", "probability": 0.9729817708333334}, {"start": 22.51, "end": 22.63, "word": " علي", "probability": 0.5771484375}, {"start": 22.63, "end": 22.95, "word": " رسول", "probability": 0.8893229166666666}, {"start": 22.95, "end": 23.19, "word": " الله", "probability": 0.94287109375}, {"start": 23.19, "end": 24.61, "word": " اللهم", "probability": 0.456298828125}, {"start": 24.61, "end": 24.75, "word": " السلام", "probability": 0.4390869140625}, {"start": 24.75, "end": 24.83, "word": " على", "probability": 0.47265625}, {"start": 24.83, "end": 25.05, "word": " الشباب", "probability": 0.9684244791666666}, {"start": 25.05, "end": 25.31, "word": " فيكوا", "probability": 0.7542317708333334}, {"start": 25.31, "end": 25.55, "word": " اليوم", "probability": 0.971923828125}, {"start": 25.55, "end": 26.45, "word": " ان", "probability": 0.72509765625}, {"start": 26.45, "end": 26.61, "word": " شاء", "probability": 0.97265625}, {"start": 26.61, "end": 26.63, "word": " الله", "probability": 0.9296875}, {"start": 26.63, "end": 27.21, "word": " هنكمل", "probability": 0.9615478515625}, {"start": 27.21, "end": 27.61, "word": " chapter", "probability": 0.54638671875}, {"start": 27.61, "end": 27.79, "word": " ال", "probability": 0.8583984375}, {"start": 27.79, "end": 28.37, "word": " determinant", "probability": 0.95458984375}, {"start": 28.37, "end": 29.51, "word": " ال", "probability": 0.489990234375}, {"start": 29.51, "end": 29.83, "word": " chapter", "probability": 0.9482421875}, {"start": 29.83, "end": 30.51, "word": " بالمجموع", "probability": 0.81728515625}, {"start": 30.51, "end": 31.55, "word": " القصير", "probability": 0.99609375}, {"start": 31.55, "end": 32.31, "word": " و", "probability": 0.7568359375}, {"start": 32.31, "end": 32.63, "word": " ..", "probability": 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Value", "probability": 0.7265625}, {"start": 119.65, "end": 121.31, "word": " بتشتق", "probability": 0.85107421875}, {"start": 121.31, "end": 121.57, "word": " من", "probability": 0.97509765625}, {"start": 121.57, "end": 122.47, "word": " الـSquare", "probability": 0.75478515625}], "temperature": 1.0}, {"id": 5, "seek": 14408, "start": 123.3, "end": 144.08, "text": "matrix وقلنا أنا بستخدمها عادة من أجل وصول الحل لمعادلات خطية تمام معادلتين خطيتين وقال سريع قولك التالي لما بكون أنا في عندي متغير واحد يكفي من يعطيني معادلة واحدة و بقدر أجيب خيمته لو في عندي متغيرين يلزمني معادلتين مختلفتين", "tokens": [15677, 6579, 4032, 4587, 1211, 8315, 41850, 4724, 14851, 9778, 40448, 11296, 6225, 18513, 3660, 9154, 5551, 7435, 1211, 4032, 9381, 12610, 21542, 1211, 32767, 3615, 18513, 1211, 9307, 16490, 9566, 10632, 46811, 10943, 20449, 18513, 1211, 2655, 9957, 16490, 9566, 36081, 9957, 4032, 4587, 6027, 8608, 16572, 3615, 12174, 12610, 4117, 16712, 6027, 1829, 5296, 15042, 4724, 30544, 41850, 8978, 43242, 1829, 44650, 17082, 13546, 36764, 24401, 7251, 4117, 41185, 9154, 7251, 3615, 9566, 1829, 22653, 20449, 18513, 37977, 36764, 24401, 3660, 4032, 4724, 28543, 2288, 5551, 7435, 1829, 3555, 16490, 32640, 47395, 45164, 8978, 43242, 1829, 44650, 17082, 13546, 9957, 7251, 1211, 11622, 2304, 22653, 20449, 18513, 1211, 2655, 9957, 3714, 46456, 46538, 2655, 9957], "avg_logprob": -0.1980932159191471, "compression_ratio": 1.8883720930232557, "no_speech_prob": 1.2516975402832031e-06, "words": [{"start": 123.3, "end": 123.96, "word": "matrix", "probability": 0.55169677734375}, {"start": 123.96, "end": 125.2, "word": " وقلنا", "probability": 0.552581787109375}, {"start": 125.2, "end": 125.3, "word": " أنا", "probability": 0.455078125}, {"start": 125.3, "end": 125.94, "word": " بستخدمها", "probability": 0.8943359375}, {"start": 125.94, "end": 126.38, "word": " عادة", "probability": 0.9822591145833334}, {"start": 126.38, "end": 126.52, "word": " من", "probability": 0.9716796875}, {"start": 126.52, "end": 126.76, "word": " أجل", "probability": 0.8763020833333334}, {"start": 126.76, "end": 127.16, "word": " وصول", "probability": 0.9889322916666666}, {"start": 127.16, "end": 127.62, "word": " الحل", "probability": 0.84765625}, {"start": 127.62, "end": 128.44, "word": " لمعادلات", "probability": 0.96787109375}, {"start": 128.44, "end": 129.0, "word": " خطية", "probability": 0.9562174479166666}, {"start": 129.0, "end": 129.68, "word": " تمام", "probability": 0.765380859375}, {"start": 129.68, "end": 130.42, "word": " معادلتين", "probability": 0.9056640625}, {"start": 130.42, "end": 131.1, "word": " خطيتين", "probability": 0.96826171875}, {"start": 131.1, "end": 131.82, "word": " وقال", "probability": 0.6104329427083334}, {"start": 131.82, "end": 132.24, "word": " سريع", "probability": 0.9690755208333334}, {"start": 132.24, "end": 132.6, "word": " قولك", "probability": 0.53662109375}, {"start": 132.6, "end": 133.12, "word": " التالي", "probability": 0.9733072916666666}, {"start": 133.12, "end": 133.64, "word": " لما", "probability": 0.88623046875}, {"start": 133.64, "end": 133.84, "word": " بكون", "probability": 0.918212890625}, {"start": 133.84, "end": 133.98, "word": " أنا", "probability": 0.29248046875}, {"start": 133.98, "end": 134.06, "word": " في", "probability": 0.93701171875}, {"start": 134.06, "end": 134.3, "word": " عندي", "probability": 0.6256103515625}, {"start": 134.3, "end": 134.74, "word": " متغير", "probability": 0.9796549479166666}, {"start": 134.74, "end": 135.3, "word": " واحد", "probability": 0.992431640625}, {"start": 135.3, "end": 136.08, "word": " يكفي", "probability": 0.9612630208333334}, {"start": 136.08, "end": 136.2, "word": " من", "probability": 0.662109375}, {"start": 136.2, "end": 136.6, "word": " يعطيني", "probability": 0.7294921875}, {"start": 136.6, "end": 137.02, "word": " معادلة", "probability": 0.9689127604166666}, {"start": 137.02, "end": 137.46, "word": " واحدة", "probability": 0.98486328125}, {"start": 137.46, "end": 137.52, "word": " و", "probability": 0.61767578125}, {"start": 137.52, "end": 137.78, "word": " بقدر", "probability": 0.828125}, {"start": 137.78, "end": 138.24, "word": " أجيب", "probability": 0.945556640625}, {"start": 138.24, "end": 138.92, "word": " خيمته", "probability": 0.8953450520833334}, {"start": 138.92, "end": 139.54, "word": " لو", "probability": 0.71484375}, {"start": 139.54, "end": 140.0, "word": " في", "probability": 0.65966796875}, {"start": 140.0, "end": 140.24, "word": " عندي", "probability": 0.6796875}, {"start": 140.24, "end": 140.9, "word": " متغيرين", "probability": 0.9896240234375}, {"start": 140.9, "end": 141.6, "word": " يلزمني", "probability": 0.8193359375}, {"start": 141.6, "end": 143.02, "word": " معادلتين", "probability": 0.98134765625}, {"start": 143.02, "end": 144.08, "word": " مختلفتين", "probability": 0.97998046875}], "temperature": 1.0}, {"id": 6, "seek": 15547, "start": 145.06, "end": 155.48, "text": "لو المعادلة التانية كأول مضاعف من المضاعفات أو مشتقة من المعادلة الأولى مش هتقدر تصل لنتيجة و آخر شغلة شفنا مع بعض", "tokens": [1211, 2407, 9673, 3615, 18513, 37977, 16712, 7649, 10632, 9122, 10721, 12610, 3714, 11242, 45761, 5172, 9154, 9673, 11242, 45761, 5172, 9307, 34051, 37893, 2655, 28671, 9154, 9673, 3615, 18513, 37977, 16247, 12610, 7578, 37893, 8032, 2655, 28543, 2288, 6055, 36520, 5296, 29399, 1829, 7435, 3660, 4032, 19753, 34740, 13412, 17082, 37977, 13412, 5172, 8315, 20449, 45030, 11242], "avg_logprob": -0.16724046357607436, "compression_ratio": 1.6299212598425197, "no_speech_prob": 2.1457672119140625e-06, "words": [{"start": 145.06, "end": 145.34, "word": "لو", "probability": 0.765869140625}, {"start": 145.34, "end": 145.82, "word": " المعادلة", "probability": 0.9329833984375}, {"start": 145.82, "end": 146.24, "word": " التانية", "probability": 0.7835286458333334}, {"start": 146.24, "end": 146.62, "word": " كأول", "probability": 0.6793619791666666}, {"start": 146.62, "end": 147.68, "word": " مضاعف", "probability": 0.8416748046875}, {"start": 147.68, "end": 147.8, "word": " من", "probability": 0.97509765625}, {"start": 147.8, "end": 148.44, "word": " المضاعفات", "probability": 0.9443359375}, {"start": 148.44, "end": 148.58, "word": " أو", "probability": 0.64794921875}, {"start": 148.58, "end": 149.04, "word": " مشتقة", "probability": 0.7874348958333334}, {"start": 149.04, "end": 149.18, "word": " من", "probability": 0.9609375}, {"start": 149.18, "end": 149.62, "word": " المعادلة", "probability": 0.990234375}, {"start": 149.62, "end": 150.18, "word": " الأولى", "probability": 0.9207356770833334}, {"start": 150.18, "end": 150.74, "word": " مش", "probability": 0.6220703125}, {"start": 150.74, "end": 151.1, "word": " هتقدر", "probability": 0.956298828125}, {"start": 151.1, "end": 151.36, "word": " تصل", "probability": 0.9521484375}, {"start": 151.36, "end": 151.96, "word": " لنتيجة", "probability": 0.95244140625}, {"start": 151.96, "end": 152.4, "word": " و", "probability": 0.5068359375}, {"start": 152.4, "end": 152.66, "word": " آخر", "probability": 0.6605224609375}, {"start": 152.66, "end": 153.18, "word": " شغلة", "probability": 0.8821614583333334}, {"start": 153.18, "end": 154.86, "word": " شفنا", "probability": 0.8095703125}, {"start": 154.86, "end": 155.04, "word": " مع", "probability": 0.99609375}, {"start": 155.04, "end": 155.48, "word": " بعض", "probability": 0.990478515625}], "temperature": 1.0}, {"id": 7, "seek": 17752, "start": 156.38, "end": 177.52, "text": "فعليا كيف احصل للحل ما بين لو اجيب حلول المعادلة او قيم X وY من المعادلات الموجودة عندى طبعا اتبعت طريقة تقليدية في الرياضيات بحيث ان انا اضرب المعادلاتين في المعاملات بعض عشان اطيّر term و اجيب حد و يعود بالحد التاني بعد هيك لحد ما وصلنا لمفهوم ال determinant", "tokens": [5172, 3615, 20292, 995, 9122, 33911, 1975, 5016, 36520, 24976, 5016, 1211, 19446, 49374, 45164, 1975, 7435, 1829, 3555, 11331, 1211, 12610, 9673, 3615, 18513, 37977, 1975, 2407, 12174, 32640, 1783, 4032, 56, 9154, 9673, 3615, 18513, 1211, 9307, 9673, 29245, 23328, 3660, 43242, 7578, 23032, 3555, 3615, 995, 1975, 2655, 3555, 34268, 23032, 16572, 28671, 6055, 4587, 20292, 3215, 10632, 8978, 2423, 16572, 46958, 1829, 9307, 4724, 5016, 1829, 12984, 16472, 1975, 8315, 1975, 11242, 25513, 9673, 3615, 18513, 1211, 9307, 9957, 8978, 9673, 3615, 10943, 1211, 9307, 45030, 11242, 6225, 8592, 7649, 1975, 9566, 1829, 11703, 2288, 1433, 4032, 1975, 7435, 1829, 3555, 11331, 3215, 4032, 37495, 23328, 20666, 24401, 16712, 7649, 1829, 39182, 39896, 4117, 5296, 24401, 19446, 4032, 36520, 8315, 32767, 5172, 3224, 20498, 2423, 41296], "avg_logprob": -0.1913167991255986, "compression_ratio": 1.868312757201646, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 156.38, "end": 156.96, "word": "فعليا", "probability": 0.6480712890625}, {"start": 156.96, "end": 157.16, "word": " كيف", "probability": 0.900634765625}, {"start": 157.16, "end": 157.96, "word": " احصل", "probability": 0.7459309895833334}, {"start": 157.96, "end": 158.46, "word": " للحل", "probability": 0.7500813802083334}, {"start": 158.46, "end": 159.08, "word": " ما", "probability": 0.228271484375}, {"start": 159.08, "end": 159.34, "word": " بين", "probability": 0.990234375}, {"start": 159.34, "end": 159.54, "word": " لو", "probability": 0.6396484375}, {"start": 159.54, "end": 159.86, "word": " اجيب", "probability": 0.7833251953125}, {"start": 159.86, "end": 160.48, "word": " حلول", "probability": 0.9443359375}, {"start": 160.48, "end": 161.7, "word": " المعادلة", "probability": 0.86767578125}, {"start": 161.7, "end": 161.94, "word": " او", "probability": 0.9091796875}, {"start": 161.94, "end": 162.14, "word": " قيم", "probability": 0.9853515625}, {"start": 162.14, "end": 162.44, "word": " X", "probability": 0.64599609375}, {"start": 162.44, "end": 162.88, "word": " وY", "probability": 0.71044921875}, {"start": 162.88, "end": 163.1, "word": " من", "probability": 0.88916015625}, {"start": 163.1, "end": 163.58, "word": " المعادلات", "probability": 0.91865234375}, {"start": 163.58, "end": 164.08, "word": " الموجودة", "probability": 0.8140869140625}, {"start": 164.08, "end": 164.52, "word": " عندى", "probability": 0.74560546875}, {"start": 164.52, "end": 165.7, "word": " طبعا", "probability": 0.9500732421875}, {"start": 165.7, "end": 166.1, "word": " اتبعت", "probability": 0.79193115234375}, {"start": 166.1, "end": 166.58, "word": " طريقة", "probability": 0.9873046875}, {"start": 166.58, "end": 167.22, "word": " تقليدية", "probability": 0.97568359375}, {"start": 167.22, "end": 167.38, "word": " في", "probability": 0.82080078125}, {"start": 167.38, "end": 168.14, "word": " الرياضيات", "probability": 0.95126953125}, {"start": 168.14, "end": 168.54, "word": " بحيث", "probability": 0.8861083984375}, {"start": 168.54, "end": 168.66, "word": " ان", "probability": 0.9091796875}, {"start": 168.66, "end": 168.82, "word": " انا", "probability": 0.653564453125}, {"start": 168.82, "end": 169.1, "word": " اضرب", "probability": 0.9541015625}, {"start": 169.1, "end": 169.78, "word": " المعادلاتين", "probability": 0.9319661458333334}, {"start": 169.78, "end": 169.88, "word": " في", "probability": 0.89501953125}, {"start": 169.88, "end": 170.4, "word": " المعاملات", "probability": 0.900390625}, {"start": 170.4, "end": 170.82, "word": " بعض", "probability": 0.95166015625}, {"start": 170.82, "end": 171.08, "word": " عشان", "probability": 0.9708658854166666}, {"start": 171.08, "end": 171.48, "word": " اطيّر", "probability": 0.776318359375}, {"start": 171.48, "end": 171.76, "word": " term", "probability": 0.8583984375}, {"start": 171.76, "end": 171.92, "word": " و", "probability": 0.7802734375}, {"start": 171.92, "end": 172.08, "word": " اجيب", "probability": 0.84979248046875}, {"start": 172.08, "end": 172.32, "word": " حد", "probability": 0.99072265625}, {"start": 172.32, "end": 172.42, "word": " و", "probability": 0.966796875}, {"start": 172.42, "end": 172.78, "word": " يعود", "probability": 0.4923095703125}, {"start": 172.78, "end": 173.28, "word": " بالحد", "probability": 0.774658203125}, {"start": 173.28, "end": 174.08, "word": " التاني", "probability": 0.7874348958333334}, {"start": 174.08, "end": 174.24, "word": " بعد", "probability": 0.9609375}, {"start": 174.24, "end": 174.78, "word": " هيك", "probability": 0.83740234375}, {"start": 174.78, "end": 175.2, "word": " لحد", "probability": 0.9541015625}, {"start": 175.2, "end": 175.32, "word": " ما", "probability": 0.7890625}, {"start": 175.32, "end": 175.68, "word": " وصلنا", "probability": 0.9153645833333334}, {"start": 175.68, "end": 176.32, "word": " لمفهوم", "probability": 0.96240234375}, {"start": 176.32, "end": 177.1, "word": " ال", "probability": 0.8564453125}, {"start": 177.1, "end": 177.52, "word": " determinant", "probability": 0.849609375}], "temperature": 1.0}, {"id": 8, "seek": 20747, "start": 180.93, "end": 207.47, "text": "أقولت أنا في النهاية هذا ال role اللي هي ال X على ال determinant أذكرك بس في المعادلات المعادلات كانت D1 تساوي A1 في X زائد B1 في Y D2 تساوي A2 في X زائد B2 في Y الآن ال determinant هذه ما هي إلا عبارة عن المعاملات اللي موجودة عندهم", "tokens": [10721, 39648, 2655, 41850, 8978, 28239, 11296, 10632, 23758, 2423, 3090, 13672, 1829, 39896, 2423, 1783, 15844, 2423, 41296, 5551, 8848, 37983, 4117, 4724, 3794, 8978, 9673, 3615, 18513, 1211, 9307, 9673, 3615, 18513, 1211, 9307, 25961, 2655, 413, 16, 6055, 3794, 995, 45865, 316, 16, 8978, 1783, 30767, 16373, 3215, 363, 16, 8978, 398, 413, 17, 6055, 3794, 995, 45865, 316, 17, 8978, 1783, 30767, 16373, 3215, 363, 17, 8978, 398, 6024, 48506, 2423, 41296, 29538, 19446, 39896, 11933, 15040, 6225, 3555, 9640, 3660, 18871, 9673, 3615, 10943, 1211, 9307, 13672, 1829, 3714, 29245, 23328, 3660, 43242, 16095], "avg_logprob": -0.14507812678813933, "compression_ratio": 1.8097560975609757, "no_speech_prob": 0.0, "words": [{"start": 180.93, "end": 181.55, "word": "أقولت", "probability": 0.4665120442708333}, {"start": 181.55, "end": 181.77, "word": " أنا", "probability": 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23784, "start": 208.4, "end": 237.84, "text": "في المعادلة ما هي الا المعادلات اللى موجودة عندى في المعادلة الان X على ال determinant مين عاصر ال determinant عاصر ال determinant ال D تمام و ال B بنفس الترتيب اللى موجودين فيه يعني X على D1 D2 B1 D2 هى ال determinant الأول Y على مين معاملات Y", "tokens": [41185, 9673, 3615, 18513, 37977, 19446, 39896, 42963, 9673, 3615, 18513, 1211, 9307, 13672, 7578, 3714, 29245, 23328, 3660, 43242, 7578, 8978, 9673, 3615, 18513, 37977, 2423, 7649, 1783, 15844, 2423, 41296, 3714, 9957, 6225, 33546, 2288, 2423, 41296, 6225, 33546, 2288, 2423, 41296, 2423, 413, 46811, 10943, 4032, 2423, 363, 44945, 36178, 16712, 2288, 31371, 3555, 13672, 7578, 3714, 29245, 23328, 9957, 8978, 3224, 37495, 22653, 1783, 15844, 413, 16, 413, 17, 363, 16, 413, 17, 8032, 7578, 2423, 41296, 16247, 12610, 398, 15844, 3714, 9957, 20449, 10943, 1211, 9307, 398], "avg_logprob": -0.2014448969594894, "compression_ratio": 2.026595744680851, "no_speech_prob": 2.86102294921875e-06, 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"compression_ratio": 1.1938775510204083, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 458.29, "end": 458.49, "word": "و", "probability": 0.388916015625}, {"start": 458.49, "end": 458.63, "word": " ايه", "probability": 0.749267578125}, {"start": 458.63, "end": 458.71, "word": " اللي", "probability": 0.83935546875}, {"start": 458.71, "end": 458.75, "word": " في", "probability": 0.837890625}, {"start": 458.75, "end": 460.97, "word": " اربعة؟", "probability": 0.69476318359375}, {"start": 460.97, "end": 464.49, "word": " مباشرة", "probability": 0.8818359375}, {"start": 464.49, "end": 464.69, "word": " بدك", "probability": 0.75}, {"start": 464.69, "end": 464.97, "word": " تعمل", "probability": 0.9866536458333334}, {"start": 464.97, "end": 465.29, "word": " قرح", "probability": 0.7016194661458334}, {"start": 465.29, "end": 465.51, "word": " انت", "probability": 0.713134765625}, {"start": 465.51, "end": 465.89, "word": " عادفا", "probability": 0.80181884765625}, {"start": 465.89, "end": 466.23, "word": " بدك", "probability": 0.793701171875}, {"start": 466.23, "end": 466.65, "word": " تخلص", "probability": 0.9927978515625}, {"start": 466.65, "end": 466.83, "word": " من", "probability": 0.947265625}, {"start": 466.83, "end": 467.13, "word": " terms", "probability": 0.72021484375}], "temperature": 1.0}, {"id": 19, "seek": 49506, "start": 468.62, "end": 495.06, "text": "فالآن صفت عندك مسألة هي بين جثين الشباب انت بدك تختزل المسألة عشان تصير فيها متغيرين و لما تصير في عندي متغيرين استخدم ال determinant يعني الآن لما انا بدي اخلص اروح هنا اقول اضغط في اتنين معته هنا ستة و عشرين هنا ستة هنا اربعة هنا اربعة ال Z مع الأربعة Z بتروح مصبورت؟ صار ايش عندي؟ صار في عندي معاجلتين", "tokens": [5172, 6027, 148, 48506, 20328, 5172, 2655, 43242, 4117, 47524, 10721, 37977, 39896, 49374, 10874, 12984, 9957, 25124, 3555, 16758, 16472, 2655, 47525, 4117, 6055, 46456, 11622, 1211, 9673, 3794, 10721, 37977, 6225, 8592, 7649, 6055, 9381, 13546, 8978, 11296, 44650, 17082, 13546, 9957, 4032, 5296, 15042, 6055, 9381, 13546, 8978, 18871, 16254, 44650, 17082, 13546, 9957, 44713, 9778, 40448, 2423, 41296, 37495, 22653, 6024, 48506, 5296, 15042, 1975, 8315, 4724, 16254, 1975, 9778, 1211, 9381, 1975, 32887, 5016, 34105, 1975, 39648, 1975, 11242, 17082, 9566, 8978, 1975, 2655, 1863, 9957, 20449, 47395, 34105, 8608, 2655, 3660, 4032, 6225, 46309, 9957, 34105, 8608, 2655, 3660, 34105, 1975, 25513, 27884, 34105, 1975, 25513, 27884, 2423, 1176, 20449, 16247, 25513, 27884, 1176, 39894, 32887, 5016, 3714, 9381, 3555, 13063, 2655, 22807, 20328, 9640, 1975, 1829, 8592, 18871, 16254, 22807, 20328, 9640, 8978, 18871, 16254, 20449, 26108, 1211, 2655, 9957], "avg_logprob": -0.2350084522890078, "compression_ratio": 2.0538461538461537, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 468.62, "end": 468.98, "word": "فالآن", "probability": 0.6304931640625}, {"start": 468.98, "end": 469.38, "word": " صفت", "probability": 0.8771158854166666}, {"start": 469.38, "end": 469.64, "word": " عندك", "probability": 0.97412109375}, {"start": 469.64, "end": 470.12, "word": " مسألة", "probability": 0.9212239583333334}, {"start": 470.12, "end": 471.04, "word": " هي", "probability": 0.81494140625}, {"start": 471.04, "end": 472.24, "word": " بين", "probability": 0.77587890625}, {"start": 472.24, "end": 472.54, "word": " جثين", "probability": 0.7703450520833334}, {"start": 472.54, "end": 472.9, "word": " الشباب", "probability": 0.9835611979166666}, {"start": 472.9, "end": 473.12, "word": " انت", "probability": 0.7115478515625}, {"start": 473.12, "end": 473.34, "word": " بدك", "probability": 0.61279296875}, {"start": 473.34, "end": 473.8, "word": " تختزل", "probability": 0.9013671875}, {"start": 473.8, "end": 474.3, "word": " المسألة", "probability": 0.969970703125}, {"start": 474.3, "end": 474.54, "word": " عشان", "probability": 0.94287109375}, {"start": 474.54, "end": 474.82, "word": " تصير", "probability": 0.9152018229166666}, {"start": 474.82, "end": 474.96, "word": " فيها", "probability": 0.982666015625}, {"start": 474.96, "end": 475.68, "word": " متغيرين", "probability": 0.9627685546875}, {"start": 475.68, "end": 476.16, "word": " و", "probability": 0.43701171875}, {"start": 476.16, "end": 476.26, "word": " لما", "probability": 0.6976318359375}, {"start": 476.26, "end": 476.48, "word": " تصير", "probability": 0.9609375}, {"start": 476.48, "end": 476.56, "word": " في", "probability": 0.9169921875}, {"start": 476.56, "end": 476.72, "word": " عندي", "probability": 0.55291748046875}, {"start": 476.72, "end": 477.4, "word": " متغيرين", "probability": 0.9908447265625}, {"start": 477.4, "end": 478.64, "word": " استخدم", "probability": 0.86181640625}, {"start": 478.64, "end": 478.74, "word": " ال", "probability": 0.95166015625}, {"start": 478.74, "end": 479.2, "word": " determinant", "probability": 0.71728515625}, {"start": 479.2, "end": 479.82, "word": " يعني", "probability": 0.93408203125}, {"start": 479.82, "end": 480.08, "word": " الآن", "probability": 0.6490478515625}, {"start": 480.08, "end": 480.3, "word": " لما", "probability": 0.93310546875}, {"start": 480.3, "end": 480.44, "word": " انا", "probability": 0.774169921875}, {"start": 480.44, "end": 480.64, "word": " بدي", "probability": 0.75341796875}, {"start": 480.64, "end": 481.12, "word": " اخلص", "probability": 0.9285888671875}, {"start": 481.12, "end": 481.78, "word": " اروح", "probability": 0.9230143229166666}, {"start": 481.78, "end": 482.08, "word": " هنا", "probability": 0.96923828125}, {"start": 482.08, "end": 482.68, "word": " اقول", "probability": 0.696044921875}, {"start": 482.68, "end": 482.86, "word": " اضغط", "probability": 0.66668701171875}, {"start": 482.86, "end": 483.02, "word": " في", "probability": 0.759765625}, {"start": 483.02, "end": 483.24, "word": " اتنين", "probability": 0.84619140625}, {"start": 483.24, "end": 483.5, "word": " معته", "probability": 0.2237548828125}, {"start": 483.5, "end": 483.6, "word": " هنا", "probability": 0.51513671875}, {"start": 483.6, "end": 483.9, "word": " ستة", "probability": 0.8370768229166666}, {"start": 483.9, "end": 483.98, "word": " و", "probability": 0.90625}, {"start": 483.98, "end": 484.44, "word": " عشرين", "probability": 0.86181640625}, {"start": 484.44, "end": 485.18, "word": " هنا", "probability": 0.8994140625}, {"start": 485.18, "end": 485.78, "word": " ستة", "probability": 0.9830729166666666}, {"start": 485.78, "end": 486.56, "word": " هنا", "probability": 0.88427734375}, {"start": 486.56, "end": 487.16, "word": " اربعة", "probability": 0.8904622395833334}, {"start": 487.16, "end": 487.8, "word": " هنا", "probability": 0.916015625}, {"start": 487.8, "end": 488.3, "word": " اربعة", "probability": 0.9376627604166666}, {"start": 488.3, "end": 488.94, "word": " ال", "probability": 0.783203125}, {"start": 488.94, "end": 489.24, "word": " Z", "probability": 0.30078125}, {"start": 489.24, "end": 489.72, "word": " مع", "probability": 0.9912109375}, {"start": 489.72, "end": 490.14, "word": " الأربعة", "probability": 0.8292643229166666}, {"start": 490.14, "end": 490.36, "word": " Z", "probability": 0.71533203125}, {"start": 490.36, "end": 490.9, "word": " بتروح", "probability": 0.9220377604166666}, {"start": 490.9, "end": 492.36, "word": " مصبورت؟", "probability": 0.6315104166666666}, {"start": 492.36, "end": 492.62, "word": " صار", "probability": 0.844970703125}, {"start": 492.62, "end": 492.84, "word": " ايش", "probability": 0.80810546875}, {"start": 492.84, "end": 493.54, "word": " عندي؟", "probability": 0.7428385416666666}, {"start": 493.54, "end": 493.76, "word": " صار", "probability": 0.968017578125}, {"start": 493.76, "end": 493.88, "word": " في", "probability": 0.9638671875}, {"start": 493.88, "end": 494.12, "word": " عندي", "probability": 0.94482421875}, {"start": 494.12, "end": 495.06, "word": " معاجلتين", "probability": 0.798828125}], "temperature": 1.0}, {"id": 20, "seek": 51298, "start": 496.06, "end": 512.98, "text": "من متغيرين و لا لأ صحيح عندي معادلتين من متغيرين بستخدم الطريق السابق بال determinant بجيب قيمة x و y و بعوض في المعادلة الأخيرة بجيب قيمة z أو أي فرق معادلة منهم نفس الكلام اللي احنا حاكيناه و بشتغلنا عليه تمام", "tokens": [27842, 44650, 17082, 13546, 9957, 4032, 20193, 5296, 10721, 20328, 5016, 1829, 5016, 18871, 16254, 20449, 18513, 1211, 2655, 9957, 9154, 44650, 17082, 13546, 9957, 4724, 14851, 9778, 40448, 41950, 16572, 4587, 21136, 16758, 4587, 20666, 41296, 4724, 7435, 1829, 3555, 12174, 32640, 3660, 2031, 4032, 288, 4032, 45030, 2407, 11242, 8978, 9673, 3615, 18513, 37977, 16247, 9778, 48923, 4724, 7435, 1829, 3555, 12174, 32640, 3660, 710, 34051, 36632, 6156, 2288, 4587, 20449, 18513, 37977, 9154, 16095, 8717, 36178, 2423, 28820, 10943, 13672, 1829, 1975, 5016, 8315, 11331, 995, 4117, 1829, 8315, 3224, 4032, 4724, 8592, 2655, 17082, 1211, 8315, 47356, 46811, 10943], "avg_logprob": -0.19050480496998018, "compression_ratio": 1.7729468599033817, "no_speech_prob": 0.00019443035125732422, "words": 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"end": 502.8, "word": " السابق", "probability": 0.9557291666666666}, {"start": 502.8, "end": 503.7, "word": " بال", "probability": 0.9130859375}, {"start": 503.7, "end": 504.18, "word": " determinant", "probability": 0.796875}, {"start": 504.18, "end": 504.84, "word": " بجيب", "probability": 0.9169921875}, {"start": 504.84, "end": 505.12, "word": " قيمة", "probability": 0.9895833333333334}, {"start": 505.12, "end": 505.32, "word": " x", "probability": 0.433837890625}, {"start": 505.32, "end": 505.5, "word": " و", "probability": 0.9404296875}, {"start": 505.5, "end": 505.74, "word": " y", "probability": 0.8837890625}, {"start": 505.74, "end": 506.02, "word": " و", "probability": 0.724609375}, {"start": 506.02, "end": 506.38, "word": " بعوض", "probability": 0.78173828125}, {"start": 506.38, "end": 506.5, "word": " في", "probability": 0.88134765625}, {"start": 506.5, "end": 506.9, "word": " المعادلة", "probability": 0.9642333984375}, {"start": 506.9, "end": 507.2, "word": " الأخيرة", "probability": 0.9417317708333334}, {"start": 507.2, "end": 507.42, "word": " بجيب", "probability": 0.98046875}, {"start": 507.42, "end": 507.9, "word": " قيمة", "probability": 0.98779296875}, {"start": 507.9, "end": 508.44, "word": " z", "probability": 0.931640625}, {"start": 508.44, "end": 508.62, "word": " أو", "probability": 0.67919921875}, {"start": 508.62, "end": 508.78, "word": " أي", "probability": 0.8369140625}, {"start": 508.78, "end": 508.94, "word": " فرق", "probability": 0.4678548177083333}, {"start": 508.94, "end": 509.3, "word": " معادلة", "probability": 0.9892578125}, {"start": 509.3, "end": 509.66, "word": " منهم", "probability": 0.95849609375}, {"start": 509.66, "end": 510.3, "word": " نفس", "probability": 0.95166015625}, {"start": 510.3, "end": 510.8, "word": " الكلام", "probability": 0.9596354166666666}, {"start": 510.8, "end": 511.32, "word": " اللي", "probability": 0.94287109375}, {"start": 511.32, "end": 511.46, "word": " احنا", "probability": 0.8595377604166666}, {"start": 511.46, "end": 511.9, "word": " حاكيناه", "probability": 0.7903645833333334}, {"start": 511.9, "end": 511.96, "word": " و", "probability": 0.7412109375}, {"start": 511.96, "end": 512.4, "word": " بشتغلنا", "probability": 0.86962890625}, {"start": 512.4, "end": 512.62, "word": " عليه", "probability": 0.97265625}, {"start": 512.62, "end": 512.98, "word": " تمام", "probability": 0.99658203125}], "temperature": 1.0}, {"id": 21, "seek": 54096, "start": 516.02, "end": 540.96, "text": "طب ليش ما يكون في عندى انا طريقة مباشرة زى ما كان عندى على 2 يكون عندى على 3 وهذه هي فعليا طريقة Laplace تمام expansion اللى هى فعليا الطريقة اللى ايه تطبق على أي square matrix تمام تطبق بنفس الطريقة على أي square matrix الآن نفس المجموعة السابقة هى عندى ال coefficient", "tokens": [9566, 3555, 32239, 8592, 19446, 7251, 30544, 8978, 43242, 7578, 1975, 8315, 23032, 16572, 28671, 3714, 3555, 33599, 25720, 30767, 7578, 19446, 25961, 43242, 7578, 15844, 568, 7251, 30544, 43242, 7578, 15844, 805, 37037, 24192, 39896, 6156, 3615, 20292, 995, 23032, 16572, 28671, 2369, 6742, 6055, 15042, 2304, 11260, 13672, 7578, 8032, 7578, 6156, 3615, 20292, 995, 41950, 16572, 28671, 13672, 7578, 1975, 1829, 3224, 6055, 9566, 3555, 4587, 15844, 36632, 3732, 8141, 46811, 10943, 6055, 9566, 3555, 4587, 44945, 36178, 41950, 16572, 28671, 15844, 36632, 3732, 8141, 6024, 48506, 8717, 36178, 9673, 7435, 2304, 2407, 27884, 21136, 16758, 28671, 8032, 7578, 43242, 7578, 2423, 17619], "avg_logprob": -0.27219626112519024, "compression_ratio": 1.9330357142857142, "no_speech_prob": 0.0, "words": [{"start": 516.02, "end": 516.26, "word": "طب", "probability": 0.52862548828125}, {"start": 516.26, "end": 516.52, "word": " ليش", "probability": 0.939208984375}, {"start": 516.52, "end": 516.64, "word": " ما", "probability": 0.791015625}, {"start": 516.64, "end": 516.88, "word": " يكون", "probability": 0.888427734375}, {"start": 516.88, "end": 517.02, "word": " في", "probability": 0.79296875}, {"start": 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123709, "start": 1212.86, "end": 1237.1, "text": "مش هبقى تساوي انت؟ بدك تشنق بطريقة تقليدية بتضرب و تطرح و التعويض صح لكن ما تسأليش قولي والله اللي وجدت دكتور مد مقايا واخد عشر دجاج لأنه في القلب بالعملية انت بتحولها لعملية حساب بتلحق خلال تلت دجاج ولا لأ وبالتالي بتصير انت بس كسبت عامل الزمن اللي فرجت معاك الأمور تمام يا شباب؟", "tokens": [2304, 8592, 8032, 3555, 4587, 7578, 6055, 3794, 995, 45865, 16472, 2655, 22807, 47525, 4117, 6055, 8592, 1863, 4587, 4724, 9566, 16572, 28671, 6055, 4587, 20292, 3215, 10632, 39894, 11242, 25513, 4032, 6055, 9566, 2288, 5016, 4032, 16712, 3615, 45865, 11242, 20328, 5016, 44381, 19446, 6055, 3794, 10721, 20292, 8592, 12174, 12610, 1829, 16070, 43761, 13672, 1829, 49610, 3215, 2655, 11778, 4117, 2655, 13063, 3714, 3215, 3714, 4587, 995, 25528, 4032, 47283, 3215, 6225, 46309, 11778, 7435, 26108, 5296, 33456, 3224, 8978, 25062, 46152, 20666, 25957, 1211, 10632, 16472, 2655, 39894, 5016, 12610, 11296, 5296, 25957, 1211, 10632, 11331, 3794, 16758, 39894, 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و التانية و التالتة و الرابعة و الخامسة و الان تمام؟ ايش السؤال اللي بيجيجيك في الامتحان و كيف صيرتها ده اشي تاني هذا اللي انا حر فيه كمان مرة على رأيك شكرا لك تمام؟ ايه الان في عندي بعض الشغلات لازم انا اراعيها في ال determinant لو انتبهت ان في عندي في ال determinant .. لو انتبهت ان في عندي صف أو عمود", "tokens": [40228, 22653, 16472, 2655, 6024, 48506, 3714, 9566, 6027, 3555, 4386, 3714, 9566, 6027, 3555, 6055, 28543, 2288, 6055, 5016, 1211, 2423, 41296, 9154, 32748, 47341, 3660, 16247, 12610, 7578, 4032, 16712, 7649, 10632, 4032, 16712, 6027, 2655, 3660, 4032, 34892, 16758, 27884, 4032, 33962, 10943, 3794, 3660, 4032, 2423, 7649, 46811, 10943, 22807, 1975, 1829, 8592, 21136, 33604, 6027, 13672, 1829, 4724, 1829, 7435, 1829, 7435, 1829, 4117, 8978, 2423, 10943, 2655, 5016, 7649, 4032, 9122, 33911, 20328, 13546, 2655, 11296, 11778, 3224, 1975, 8592, 1829, 6055, 7649, 1829, 23758, 13672, 1829, 1975, 8315, 11331, 2288, 8978, 3224, 9122, 2304, 7649, 3714, 25720, 15844, 12602, 10721, 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بكل تأكيد مع التغيير اللي صارت عندهان تبقى قيمة ال determinant بدون تغيير تبقى قيمة ال determinant بدون تغيير تماما و كإن ماكيش سويتش هذا", "tokens": [2407, 11331, 9566, 36081, 3224, 6225, 2304, 23328, 23032, 3555, 3615, 995, 4032, 18863, 2304, 23328, 13672, 1829, 25961, 3714, 41361, 3224, 12602, 39319, 1975, 1829, 8592, 3714, 41361, 31767, 5172, 30767, 1829, 19446, 20328, 9640, 34105, 31767, 5172, 16247, 12610, 16490, 20292, 47395, 1975, 1829, 8592, 18863, 2304, 23328, 16247, 12610, 4032, 18863, 2304, 23328, 16247, 12610, 20328, 9640, 31767, 5172, 16247, 12610, 4724, 28820, 6055, 17082, 1829, 13546, 4724, 28820, 6055, 10721, 4117, 25708, 20449, 16712, 17082, 1829, 13546, 13672, 1829, 20328, 9640, 2655, 43242, 3224, 7649, 6055, 3555, 4587, 7578, 12174, 32640, 3660, 2423, 41296, 47525, 11536, 6055, 17082, 1829, 13546, 6055, 3555, 4587, 7578, 12174, 32640, 3660, 2423, 41296, 47525, 11536, 6055, 17082, 1829, 13546, 46811, 10943, 995, 4032, 9122, 28814, 1863, 19446, 4117, 1829, 8592, 8608, 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أنا ريحت غيرت ترتيب صفين او عمودين صف مكان صف او عمود مكان عمود معناته ايش صارت عندي انا فعلا الاصل ان القيمة ال determine تبقى ثابتة ك value لكن إشارتها هتختلف معايا", "tokens": [17082, 13546, 2655, 33688, 8592, 9640, 3660, 6055, 3555, 3615, 9307, 18863, 1863, 33546, 2288, 13672, 1829, 3714, 29245, 23328, 3660, 18871, 16254, 8032, 7649, 23032, 1829, 3555, 45164, 41850, 12602, 1829, 33753, 32771, 13546, 2655, 6055, 2288, 31371, 3555, 20328, 5172, 9957, 1975, 2407, 6225, 2304, 23328, 9957, 20328, 5172, 3714, 41361, 20328, 5172, 1975, 2407, 6225, 2304, 23328, 3714, 41361, 6225, 2304, 23328, 20449, 8315, 47395, 1975, 1829, 8592, 20328, 9640, 2655, 18871, 16254, 1975, 8315, 6156, 3615, 15040, 2423, 33546, 1211, 16472, 25062, 32640, 3660, 2423, 6997, 6055, 3555, 4587, 7578, 38637, 16758, 2655, 3660, 9122, 2158, 44381, 11933, 8592, 9640, 2655, 11296, 8032, 2655, 46456, 46538, 20449, 995, 25528], "avg_logprob": -0.22368421523194565, "compression_ratio": 1.812206572769953, "no_speech_prob": 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2802.71, "word": " اتنين", "probability": 0.9635009765625}, {"start": 2802.71, "end": 2803.09, "word": " أربع", "probability": 0.7477213541666666}, {"start": 2803.09, "end": 2803.59, "word": " وهذا", "probability": 0.637939453125}, {"start": 2803.59, "end": 2803.83, "word": " يسوى", "probability": 0.7220458984375}, {"start": 2803.83, "end": 2804.35, "word": " أربعة", "probability": 0.7195638020833334}], "temperature": 1.0}, {"id": 107, "seek": 283173, "start": 2805.21, "end": 2831.73, "text": "في واحد سواء مافيش عندك مشكلة بس انتبه ان ال coffee شنطين اللي بدك تاخده او العامل المشترك اللي بدك تاخده منهم بدك تجربه لأن القيمة أساسا هي جزء من الحل اللي موجود عندها في ال determinant وبعدين الشبتر يكون خلص لأ لأ عادة ال quiz بيكون بعد ما يخلص الشبتر لإن بحاول أديك فرصة تجرأ لكن أنا عارف برضه الفاضي الله أعطيك العافية", "tokens": [41185, 36764, 24401, 8608, 2407, 16606, 19446, 41185, 8592, 43242, 4117, 37893, 28820, 3660, 4724, 3794, 16472, 2655, 3555, 3224, 16472, 2423, 4982, 13412, 1863, 9566, 9957, 13672, 1829, 47525, 4117, 6055, 47283, 3215, 3224, 1975, 2407, 18863, 10943, 1211, 9673, 8592, 2655, 31747, 13672, 1829, 47525, 4117, 6055, 47283, 3215, 3224, 9154, 16095, 47525, 4117, 6055, 7435, 25513, 3224, 5296, 33456, 25062, 32640, 3660, 5551, 3794, 32277, 995, 39896, 10874, 11622, 38207, 9154, 21542, 1211, 13672, 1829, 3714, 29245, 23328, 43242, 11296, 8978, 2423, 41296, 46599, 22488, 9957, 25124, 3555, 2655, 2288, 7251, 30544, 16490, 1211, 9381, 5296, 10721, 5296, 10721, 6225, 18513, 3660, 2423, 15450, 4724, 1829, 30544, 39182, 19446, 7251, 9778, 1211, 9381, 25124, 3555, 2655, 2288, 5296, 28814, 1863, 4724, 5016, 995, 12610, 5551, 16254, 4117, 6156, 2288, 9381, 3660, 6055, 7435, 2288, 10721, 44381, 41850, 6225, 9640, 5172, 4724, 43042, 3224, 27188, 46958, 1829, 21984, 5551, 3615, 9566, 1829, 4117, 18863, 31845, 10632], "avg_logprob": -0.20735062611927776, "compression_ratio": 1.9246575342465753, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2805.21, "end": 2805.41, "word": "في", "probability": 0.423095703125}, {"start": 2805.41, "end": 2805.89, "word": " واحد", "probability": 0.965087890625}, {"start": 2805.89, "end": 2806.47, "word": " سواء", "probability": 0.69189453125}, {"start": 2806.47, "end": 2806.77, "word": " مافيش", "probability": 0.68701171875}, {"start": 2806.77, "end": 2806.97, "word": " عندك", "probability": 0.90283203125}, {"start": 2806.97, "end": 2807.33, "word": " مشكلة", "probability": 0.9833984375}, {"start": 2807.33, "end": 2807.49, "word": " بس", "probability": 0.879638671875}, {"start": 2807.49, "end": 2808.01, "word": " انتبه", "probability": 0.8040771484375}, {"start": 2808.01, "end": 2808.79, "word": " ان", "probability": 0.75537109375}, {"start": 2808.79, "end": 2808.95, "word": " ال", "probability": 0.8505859375}, {"start": 2808.95, "end": 2809.23, "word": " coffee", "probability": 0.71923828125}, {"start": 2809.23, "end": 2809.61, "word": " شنطين", "probability": 0.466827392578125}, {"start": 2809.61, "end": 2809.67, "word": " اللي", "probability": 0.888671875}, {"start": 2809.67, "end": 2809.79, "word": " بدك", "probability": 0.693115234375}, {"start": 2809.79, "end": 2810.15, "word": " تاخده", "probability": 0.9737548828125}, {"start": 2810.15, "end": 2810.27, "word": " او", "probability": 0.776123046875}, {"start": 2810.27, "end": 2810.57, "word": " العامل", "probability": 0.9798177083333334}, {"start": 2810.57, "end": 2810.89, "word": " المشترك", "probability": 0.91650390625}, {"start": 2810.89, "end": 2810.99, "word": " اللي", "probability": 0.976318359375}, {"start": 2810.99, "end": 2811.13, "word": " بدك", "probability": 0.882080078125}, {"start": 2811.13, "end": 2811.37, "word": " تاخده", "probability": 0.9901123046875}, {"start": 2811.37, "end": 2811.73, "word": " منهم", "probability": 0.9833984375}, {"start": 2811.73, "end": 2812.67, "word": " بدك", "probability": 0.928466796875}, {"start": 2812.67, "end": 2813.19, "word": " تجربه", "probability": 0.8660888671875}, {"start": 2813.19, "end": 2813.51, "word": " لأن", "probability": 0.73828125}, {"start": 2813.51, "end": 2813.85, "word": " القيمة", "probability": 0.9278971354166666}, {"start": 2813.85, "end": 2814.19, "word": " أساسا", "probability": 0.8577880859375}, {"start": 2814.19, "end": 2814.31, "word": " هي", "probability": 0.8408203125}, {"start": 2814.31, "end": 2814.59, "word": " جزء", "probability": 0.9954427083333334}, {"start": 2814.59, "end": 2814.77, "word": " من", "probability": 0.99462890625}, {"start": 2814.77, "end": 2815.19, "word": " الحل", "probability": 0.9716796875}, {"start": 2815.19, "end": 2816.07, "word": " اللي", "probability": 0.9248046875}, {"start": 2816.07, "end": 2816.39, "word": " موجود", "probability": 0.9851888020833334}, {"start": 2816.39, "end": 2816.75, "word": " عندها", "probability": 0.477783203125}, {"start": 2816.75, "end": 2817.05, "word": " في", "probability": 0.53662109375}, {"start": 2817.05, "end": 2817.15, "word": " ال", "probability": 0.88720703125}, {"start": 2817.15, "end": 2817.51, "word": " determinant", "probability": 0.90966796875}, {"start": 2817.51, "end": 2820.81, "word": " وبعدين", "probability": 0.5400390625}, {"start": 2820.81, "end": 2821.27, "word": " الشبتر", "probability": 0.73919677734375}, {"start": 2821.27, "end": 2822.33, "word": " يكون", "probability": 0.848388671875}, {"start": 2822.33, "end": 2822.79, "word": " خلص", "probability": 0.974609375}, {"start": 2822.79, "end": 2825.19, "word": " لأ", "probability": 0.6788330078125}, {"start": 2825.19, "end": 2825.29, "word": " لأ", "probability": 0.7059326171875}, {"start": 2825.29, "end": 2825.63, "word": " عادة", "probability": 0.9814453125}, {"start": 2825.63, "end": 2825.69, "word": " ال", "probability": 0.92724609375}, {"start": 2825.69, "end": 2825.91, "word": " quiz", "probability": 0.43310546875}, {"start": 2825.91, "end": 2826.25, "word": " بيكون", "probability": 0.69384765625}, {"start": 2826.25, "end": 2826.45, "word": " بعد", "probability": 0.9755859375}, {"start": 2826.45, "end": 2826.57, "word": " ما", "probability": 0.94140625}, {"start": 2826.57, "end": 2826.87, "word": " يخلص", "probability": 0.9942626953125}, {"start": 2826.87, "end": 2827.37, "word": " الشبتر", "probability": 0.9832763671875}, {"start": 2827.37, "end": 2827.83, "word": " لإن", "probability": 0.802490234375}, {"start": 2827.83, "end": 2828.13, "word": " بحاول", "probability": 0.988037109375}, {"start": 2828.13, "end": 2828.39, "word": " أديك", "probability": 0.8829752604166666}, {"start": 2828.39, "end": 2828.71, "word": " فرصة", "probability": 0.995361328125}, {"start": 2828.71, "end": 2829.11, "word": " تجرأ", "probability": 0.853271484375}, {"start": 2829.11, "end": 2829.39, "word": " لكن", "probability": 0.763671875}, {"start": 2829.39, "end": 2829.55, "word": " أنا", "probability": 0.646484375}, {"start": 2829.55, "end": 2829.87, "word": " عارف", "probability": 0.9812825520833334}, {"start": 2829.87, "end": 2830.23, "word": " برضه", "probability": 0.92041015625}, {"start": 2830.23, "end": 2830.69, "word": " الفاضي", "probability": 0.764404296875}, {"start": 2830.69, "end": 2831.17, "word": " الله", "probability": 0.40283203125}, {"start": 2831.17, "end": 2831.37, "word": " أعطيك", "probability": 0.841650390625}, {"start": 2831.37, "end": 2831.73, "word": " العافية", "probability": 0.7506510416666666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2832.137875, "duration_after_vad": 2667.2581249999917}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/7XIcuACbBDo.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/7XIcuACbBDo.srt
new file mode 100644
index 0000000000000000000000000000000000000000..759b353045c0afc86441ff6f6162ff53b3b83756
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/7XIcuACbBDo.srt
@@ -0,0 +1,2451 @@
+1
+00:00:21,090 --> 00:00:23,310
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:23,310 --> 00:00:25,750
+اليوم إن شاء الله شباب هنبدأ بـ Chapter جديد اللي
+
+3
+00:00:25,750 --> 00:00:29,250
+هو الباب الرابع أو الفاصل الرابع في المادة واللي 
+
+4
+00:00:29,250 --> 00:00:34,010
+بتكلم على Coordinate Systems أو نظام الإحداثيات
+
+5
+00:00:34,010 --> 00:00:39,960
+النظام الإحداثي هنغطي المواضيع في الـ Chapter هذا الـ
+
+6
+00:00:39,960 --> 00:00:45,280
+Cartesian Coordinates أو المحاور الديكارتية أو الـ
+
+7
+00:00:45,280 --> 00:00:49,220
+Cartesian System المحاور الرئيسية
+
+8
+00:00:49,220 --> 00:00:53,900
+في الـ System والمسافة بين أي نقطتين وهنتكلم على
+
+9
+00:00:53,900 --> 00:00:59,850
+المساحة لأي شكل في الـ 2D وهنتكلم عن الـ Polar
+
+10
+00:00:59,850 --> 00:01:02,970
+System كنظام للـ Cartesian System مقابل للـ
+
+11
+00:01:02,970 --> 00:01:05,370
+Cartesian System وهنتكلم عن الـ Spherical و
+
+12
+00:01:05,370 --> 00:01:09,170
+هنتكلم عن الـ Cylindrical Coordinates هذه عبارة عن 
+
+13
+00:01:09,170 --> 00:01:12,790
+نظم إحداثيات غير الـ Cartesian اللي احنا قبل عرفناه
+
+14
+00:01:13,940 --> 00:01:17,140
+طبعًا من أهم التطبيقات اللي بتشوفها في حياتك
+
+15
+00:01:17,140 --> 00:01:20,460
+اليومية اللي هي الـ Google Maps أو الـ Maps على
+
+16
+00:01:20,460 --> 00:01:24,260
+الجوال بشكل عام هتستخدم أو تستخدم نظام الإحداثيات
+
+17
+00:01:24,260 --> 00:01:27,920
+من أجل الوصول للخرائط لو أنت كنت مثلًا في غزة وبدك
+
+18
+00:01:27,920 --> 00:01:31,880
+تصل لمنطقة معينة في خانيونس أو في رفح ممكن تستخدم الـ
+
+19
+00:01:31,880 --> 00:01:35,620
+Google Map طبعًا بعتمد على نظام الـ GPS الـ Global
+
+20
+00:01:35,620 --> 00:01:40,940
+Positioning System بروح بدي إحداثية X و Y أنت وين
+
+21
+00:01:40,940 --> 00:01:47,610
+موجود الـ Target تبعتك X1 و Y1 وبنبن عليها برسوم 
+
+22
+00:01:47,610 --> 00:01:52,270
+المسار اللي بيوصلك للمواقع اللي موجودة عندك طبعًا
+
+23
+00:01:52,270 --> 00:01:55,790
+كل هذا عبارة عن معلومات موجودة في الـ System بس
+
+24
+00:01:55,790 --> 00:02:00,270
+الفكرة في تمثيلها بشكل بياني أو رسومي على الشاشة
+
+25
+00:02:00,270 --> 00:02:07,850
+عندك من أهم التطبيقات اللي بنستخدمها في الـ Graphics
+
+26
+00:02:07,850 --> 00:02:12,670
+مع الـ Coordinate Systems اللي هي موضوع إن أنا آخد 
+
+27
+00:02:12,670 --> 00:02:18,890
+Systematic أو Systematic Draw أو أرسم ضمن نظام
+
+28
+00:02:18,890 --> 00:02:23,950
+معين بنشوف الزخارف اللي زي هذه بظبط؟ بنشوفها
+
+29
+00:02:23,950 --> 00:02:28,290
+باستمرار الزخرفة هي عبارة عن بعض الأشكال الهندسية
+
+30
+00:02:28,290 --> 00:02:36,370
+الحرة بظبط؟ بس ايش بتتسمى الرسم ككلها؟ الانتظام طيب 
+
+31
+00:02:36,370 --> 00:02:44,170
+أساس الانتظام إنه لو أنا تخيلت الرسم هاي أربع 
+
+32
+00:02:44,170 --> 00:02:44,610
+أقسام
+
+33
+00:02:49,310 --> 00:02:54,290
+الانعكاس أو الصورة انعكاس الـ Parts منها يعني عادة في 
+
+34
+00:02:54,290 --> 00:02:57,290
+الـ Graphical عندما تستخدم الكمبيوتر في الرسم أنت
+
+35
+00:02:57,290 --> 00:03:02,410
+مش ضروري مش ضروري تعتمد تعتمد 100% الرسمة كاملة 
+
+36
+00:03:02,410 --> 00:03:06,130
+فبتتركز على نص الرسمة على سبيل المثال كانوا يعلمون
+
+37
+00:03:06,130 --> 00:03:10,110
+زمان لما بدك ترسم فراشة أو بدك ترسم مزهرية ارسم 
+
+38
+00:03:10,110 --> 00:03:14,530
+نصها فقط تمام؟ والنص الثاني اجلب الورقة على الوسط و
+
+39
+00:03:14,530 --> 00:03:19,150
+حاول ايش حد بتحبير هتحصل معك فعليًا رسمة منتظمة
+
+40
+00:03:19,150 --> 00:03:22,450
+وهنا نفس الكلام لأن النظام اللي عندنا هنا الـ
+
+41
+00:03:22,450 --> 00:03:25,170
+Cartesian System هي الربع الرسم هي في الربع الأول
+
+42
+00:03:25,170 --> 00:03:29,770
+عشان تكتمل الرسمة بده اروح اعمل انعكاس همحور الـ
+
+43
+00:03:29,770 --> 00:03:33,510
+X Axis ولما صار في انعكاس صار في إنه نص
+
+44
+00:03:33,510 --> 00:03:38,150
+الرسم العلوي عملت لرسم النص الكامل الآن العلوي
+
+45
+00:03:38,150 --> 00:03:44,870
+هذا عملت له انعكاس حول الـ X Axis حصلت على الصورة
+
+46
+00:03:44,870 --> 00:03:50,590
+بشكل كامل وأنت فعليًا لو تخيلت فالرسمتين اللي
+
+47
+00:03:50,590 --> 00:03:52,970
+موجودات عندها اللي بعتمدوا على الـ Cartesian System
+
+48
+00:03:52,970 --> 00:03:58,610
+فعليًا في تماثل أو في انعكاس واضح للجزء اليمين أو
+
+49
+00:03:58,610 --> 00:04:02,210
+اليسار أو العلوي أو السفلي للصورة اللي موجودة طبعًا 
+
+50
+00:04:02,210 --> 00:04:06,270
+حد فيكوا شاف دي على السوق قبل هيك خضرة ماريو 
+
+51
+00:04:08,160 --> 00:04:11,260
+طيب تعالوا في المقادم نشوف الرسومات اللي موجودة
+
+52
+00:04:11,260 --> 00:04:14,880
+عندنا هنا شو
+
+53
+00:04:14,880 --> 00:04:17,600
+اللي علاقة بالـ Cartesian System هاي؟ اللي علاقة
+
+54
+00:04:17,600 --> 00:04:21,060
+بالـ Coordinate System تمام هذه الرسومات الشباب 
+
+55
+00:04:21,060 --> 00:04:25,940
+بنعتمد فيها احنا على الـ X والـ Y والـ X والـ Y
+
+56
+00:04:25,940 --> 00:04:35,000
+المحاور الرئيسيه والصادي هدول المحاورين رئيسيين لكن في
+
+57
+00:04:35,000 --> 00:04:40,500
+محاور مقابلة أو نظم مقابلة للـ Cartesian System
+
+58
+00:04:40,500 --> 00:04:43,800
+منها على سبيل المثال الـ Polar System أو النظام 
+
+59
+00:04:43,800 --> 00:04:48,380
+الدائري اللي احنا بنسميه الفكرة فيه إنه بيعتمد على
+
+60
+00:04:48,380 --> 00:04:53,680
+زاوية ونصف قطر بيعتمد على زاوية ونصف قطر وبصير
+
+61
+00:04:53,680 --> 00:04:57,980
+النظام الرسمي اللي عندي نظام دوائر دائري فأنت 
+
+62
+00:04:57,980 --> 00:05:02,080
+فعليًا النظام اللي اترسمت عليه الزخرفة فهي أو الدب
+
+63
+00:05:02,080 --> 00:05:06,200
+هذا هو عبارة عن Polar System أو لو طلعت على الخطوط 
+
+64
+00:05:06,200 --> 00:05:09,100
+اللي مش واضحة كثير عنها على السطورة هي عبارة عن 
+
+65
+00:05:09,100 --> 00:05:13,060
+دائر Coordinates بتكلم على نصف القطر وبتكلم على
+
+66
+00:05:13,060 --> 00:05:16,560
+الزاوية اللي أنا رسمت فيها وبالتالي بقدر احصل على
+
+67
+00:05:16,560 --> 00:05:21,370
+نظام طبعًا بالإضافة للرسم أنا فعليًا الـ Cartesian 
+
+68
+00:05:21,370 --> 00:05:23,570
+System أو عفواً الـ Coordinate System بشكل عام 
+
+69
+00:05:23,570 --> 00:05:27,310
+بيستخدم بشكل كويس بشكل محترم في الحياة اليومية و
+
+70
+00:05:27,310 --> 00:05:30,930
+منها زي ما قلنا في موضوع الـ GPS وأصول الخرائط
+
+71
+00:05:30,930 --> 00:05:40,830
+هنبدأ مع الـ Cartesian Plane Plane مسطح تمام Plane 
+
+72
+00:05:40,830 --> 00:05:42,110
+مسطح
+
+73
+00:05:44,720 --> 00:05:48,820
+لما أنا بتكلم الـ Plane هذا With a Rectangular ايش
+
+74
+00:05:48,820 --> 00:05:53,360
+Rectangular شباب مستطيل 
+
+75
+00:05:53,360 --> 00:05:58,900
+مستطيل Rectangle Rectangle مستطيل Rectangular
+
+76
+00:05:58,900 --> 00:06:05,120
+معناته أنا بتكلم على نظام إحداثيات على نظام 
+
+77
+00:06:05,120 --> 00:06:09,640
+المستطيل ليش نظام المستطيل يا شباب ليش ما جاش المربع
+
+78
+00:06:15,080 --> 00:06:21,760
+أيوه في المربع في إشارة واضحة إن كلهم بيعتمد إن كل 
+
+79
+00:06:21,760 --> 00:06:25,120
+الـ Sides أو كل الأضلاع متساوية ولما عادة بيقولك
+
+80
+00:06:25,120 --> 00:06:29,840
+أديني مساحة المربع بتقوله طول تربيع وبتسكت بينما 
+
+81
+00:06:29,840 --> 00:06:33,300
+لما بأجي بقولك المستطيل أديني مساحة المستطيل
+
+82
+00:06:33,300 --> 00:06:38,550
+بتقوله الارتفاع في الطول أو في العرض تسميها زي ما
+
+83
+00:06:38,550 --> 00:06:43,290
+بدك تتكلم على Two Different Sides دلالة على إنه في
+
+84
+00:06:43,290 --> 00:06:48,330
+عندك بالعين مختلفين وهنا بتأكد لك على نفس المعلومة
+
+85
+00:06:48,330 --> 00:06:52,910
+إن أنا فعليًا بأعتمد على قيمتين مختلفتين اللي هم
+
+86
+00:06:52,910 --> 00:06:57,410
+الـ X والـ Y ممكن يكونوا متساويات في لحظة إنهم لكن 
+
+87
+00:06:57,410 --> 00:07:01,270
+الأساس إن القيمتين هدول إنهم هيكونوا مختلفتين في
+
+88
+00:07:01,270 --> 00:07:06,660
+الـ System اللي موجود عندها وبالتالي النظام هذا الـ
+
+89
+00:07:06,660 --> 00:07:10,980
+Rectangular Coordinate System بيعتمد على ارتباط
+
+90
+00:07:10,980 --> 00:07:17,520
+النقطة بقيمتين تمام؟ يعني الآن لما بتكلم على الـ
+
+91
+00:07:17,520 --> 00:07:22,720
+Coordinate System هاي الـ Plane بتكلم على نظام نقطة
+
+92
+00:07:22,720 --> 00:07:28,740
+هاي النقطة طب ما هي النقطة عملت المستطيل هذا؟
+
+93
+00:07:28,740 --> 00:07:32,060
+مصبوط؟
+
+94
+00:07:32,790 --> 00:07:37,370
+النقطة هذه لها إحداثيات أو مرتبطة بزوج من الأرقام
+
+95
+00:07:37,370 --> 00:07:41,870
+اللي هم حسب قيمة اللي عندها ببدأ بالـ X وبعدين 
+
+96
+00:07:41,870 --> 00:07:48,990
+بتكلم على سالب اثنين وثلاثة سالب اثنين وثلاثة
+
+97
+00:07:48,990 --> 00:07:54,610
+الآن مش قضية سالب ولا موجب في الآخر احنا بنتكلم
+
+98
+00:07:54,610 --> 00:07:58,490
+على الفيلم بنتكلم على نقطة حسب الاتجاه اللي موجود
+
+99
+00:07:58,490 --> 00:07:59,990
+عندها في الرسم
+
+100
+00:08:04,580 --> 00:08:07,160
+في أي مشكلة في التعامل مع الـ Cartesian يا شباب؟
+
+101
+00:08:07,160 --> 00:08:10,340
+يعني لما أنا بجيب لك المحاور أساس الرسم عندي
+
+102
+00:08:10,340 --> 00:08:16,140
+المحاور تمام؟ والتجسيم ضروري جدًا إذا أنت بقى
+
+103
+00:08:16,140 --> 00:08:21,580
+تتجسم المحاور تتجسمها بـ Unit متساوية تتجسم الـ Unit
+
+104
+00:08:21,580 --> 00:08:24,840
+متساوية وإذا بتتذكر دفتر الرسم البياني اللي كنا
+
+105
+00:08:24,840 --> 00:08:28,660
+نشوفه زمان المربعات الصغيرة هاي كانت كلها ايش
+
+106
+00:08:28,660 --> 00:08:31,540
+Uniform أو لها نفس الحجم تمام؟
+
+107
+00:08:40,130 --> 00:08:43,710
+بالإضافة للرسمة اللي موجودة عندنا هنا ايش أنا 
+
+108
+00:08:43,710 --> 00:08:48,610
+بستفيد من الـ Cartesian System تمام تحديد موقع
+
+109
+00:08:48,610 --> 00:08:55,390
+النقطة ممتاز إحداثيات
+
+110
+00:08:55,390 --> 00:09:02,430
+الشكل غيره شباب
+
+111
+00:09:04,980 --> 00:09:09,280
+الآن بقدر أقول لك أنا في عندي اسمه أو في عندي أربع 
+
+112
+00:09:09,280 --> 00:09:19,100
+نقاط موجودات صفر وصفر صفر وثلاثة ثلاثة وصفر
+
+113
+00:09:19,100 --> 00:09:26,140
+أديتك ثلاث نقاط أنا الآن مصبوط أيوه صفر وصفر صفر
+
+114
+00:09:26,140 --> 00:09:33,960
+وثلاثة ثلاثة وصفر الآن جد ما بدك تتخيل هدول أكثر
+
+115
+00:09:33,960 --> 00:09:37,740
+شغلة ممكن توصلها أنت لو أنا رسمت خطوط ما بين النقاط
+
+116
+00:09:37,740 --> 00:09:43,520
+الثلاثة هذه بحصل على مثلث طب بس المثلث هدور رأسه
+
+117
+00:09:43,520 --> 00:09:47,880
+بأي اتجاه قائم الزاوية ولا غير قائم الزاوية؟ بدك
+
+118
+00:09:47,880 --> 00:09:51,900
+تدخل في مجموعة من الحسابات عشان تقدر لي فعليًا هل هو
+
+119
+00:09:51,900 --> 00:09:55,660
+ايش مثلث قائم الزاوية أو لا بينما لو أنا اجيت 
+
+120
+00:09:55,660 --> 00:10:01,700
+رسمت لك هاي صفر وصفر النقطة الثانية صفر وثلاثة
+
+121
+00:10:03,760 --> 00:10:11,200
+ثلاثة وصفر وبالتالي
+
+122
+00:10:11,200 --> 00:10:17,200
+صارت واضحة أو توفر ليها بشكل Visual بشكل مرئي وواضح 
+
+123
+00:10:17,200 --> 00:10:21,280
+النقاط مع بعضها أو علاقتها مع بعضها حتى لو ... شوف
+
+124
+00:10:21,280 --> 00:10:25,360
+لو أنا فعليًا محطيت الـ Cash الخط أو المستطيل أو عارف
+
+125
+00:10:25,360 --> 00:10:28,800
+إن الخطوط ما بين النقاط وقلت لك هي النقاط لحالهم
+
+126
+00:10:28,800 --> 00:10:33,800
+مباشرة هتقدر تتخيل المثلث أكثر من إن أنا زودتك
+
+127
+00:10:33,800 --> 00:10:38,080
+ماشي بالنقاط الموجودة وبالتالي بالإضافة للـ
+
+128
+00:10:38,080 --> 00:10:41,100
+Association وتحديد مواقع النقاط صار بالدين ايه؟
+
+129
+00:10:41,870 --> 00:10:46,870
+بتديني آلية من أجل تمثيل مرئي للنقاط وعلاقتها مع
+
+130
+00:10:46,870 --> 00:10:52,310
+بعضها من أهم التطبيقات يا شباب تخيل إن النقطة هذه 
+
+131
+00:10:52,310 --> 00:10:57,730
+عبارة عن غزة والنقطة هذه رفح
+
+132
+00:11:04,060 --> 00:11:09,400
+عشان تصل، عشان تصل، لازم تتبع مسار موجود، ايش
+
+133
+00:11:09,400 --> 00:11:13,320
+المسار الموجود؟ يعني ما نفعش أشتغل ايش، أشتغل قطر،
+
+134
+00:11:13,320 --> 00:11:17,140
+ما نفعش، بدك تمشي على النقاط اللي موجودة، وهذا اللي
+
+135
+00:11:17,140 --> 00:11:20,380
+فعليًا اللي بيصير في النظام الـ Maps اللي موجودة، هي
+
+136
+00:11:20,380 --> 00:11:23,880
+عبارة عن مجموعة من النقاط خلصت الطريق من هنا بتطلع
+
+137
+00:11:27,300 --> 00:11:29,620
+هي هذا واحد من الـ Possible Routes اللي ممكن موجود
+
+138
+00:11:29,620 --> 00:11:32,820
+عندك واحد من المسارات المحتملة اللي ممكن تتبعها
+
+139
+00:11:32,820 --> 00:11:39,440
+ممكن تكون فيه ثانية تمام؟ بقى بيجيك تدخل البرنامج
+
+140
+00:11:39,440 --> 00:11:42,860
+يحدد لك أقصر الطرق الأخرى بس في الآخر أنا بقدر أشوف
+
+141
+00:11:42,860 --> 00:11:46,660
+العلاقة بين النقطتين وأجدَر المسافة اللي موجودة
+
+142
+00:11:46,660 --> 00:11:51,580
+بينهم في حساب معينة تمام؟ الآن أي نقطة في ال
+
+143
+00:11:51,580 --> 00:11:55,040
+Cartesian system أو على ال Cartesian plane بتتم
+
+144
+00:11:55,040 --> 00:12:02,060
+تمثيلها Ordered Pair Ordered Pair ايش يعني Ordered
+
+145
+00:12:02,060 --> 00:12:05,540
+Pair؟ ايش يعني زوج مرتب يا محمد البعز؟ ايش يعني
+
+146
+00:12:05,540 --> 00:12:10,820
+زوج مرتب؟ ايش 
+
+147
+00:12:10,820 --> 00:12:15,520
+يعني X و Y؟ ليش جال عنهم زوج مرتب؟ لأنه بينفعش
+
+148
+00:12:15,520 --> 00:12:23,530
+أبدل قيمة ال X في مكان ال Y بينفعش هذه لا تساوي Y و
+
+149
+00:12:23,530 --> 00:12:29,050
+X إلا لو كانت X تساوي Y مثل عند نقطة صفر و صفر،
+
+150
+00:12:29,050 --> 00:12:34,290
+صفر و واحد، هذي بيصير لكن الوردع العام لا تساوي
+
+151
+00:12:34,290 --> 00:12:37,590
+لاحظ
+
+152
+00:12:37,590 --> 00:12:43,830
+دائماً ببدأ بال X بالـ X axis ببدأ المحور الـ X axis
+
+153
+00:12:43,830 --> 00:12:46,390
+من قدر التعريف النقطة اللي موجودة عنده
+
+154
+00:12:49,870 --> 00:12:54,450
+وبنسمي X و Y نسميهم ال coordinates الإحداثيات
+
+155
+00:12:54,450 --> 00:13:05,630
+الخاصة بالنقطة P اللي موجودة عن الأشكال
+
+156
+00:13:05,630 --> 00:13:11,870
+الهندسية أشكال الهندسية بشكل عام أو حتى المعادلات
+
+157
+00:13:11,870 --> 00:13:19,740
+الرياضية ال curves دائماً بنرسمها عشان ايش نحاول
+
+158
+00:13:19,740 --> 00:13:23,860
+نُصَوِّر الدالة بشكل أسرع أكثر وإذا بتتذكر لما 
+
+159
+00:13:23,860 --> 00:13:30,120
+اتكلمنا على tan θ اتكلمنا على ال domain صح؟ ايش
+
+160
+00:13:30,120 --> 00:13:34,860
+قلنا ال domain يا شباب؟
+
+161
+00:13:34,860 --> 00:13:41,760
+أو
+
+162
+00:13:41,760 --> 00:13:47,160
+من صفر لـ 180 مين بعيدة يا شباب من صفر لـ 180
+
+163
+00:13:47,160 --> 00:13:47,760
+و 80؟
+
+164
+00:13:52,700 --> 00:13:59,600
+من  بي أي دوه؟ أنا بقول غلط عارف ليش؟ لأن الـ cos 90
+
+165
+00:13:59,600 --> 00:14:05,260
+هي المشكلة cos 90 هي المشكلة ما تنساش التاني عبارة 
+
+166
+00:14:05,260 --> 00:14:08,600
+عن sin على cos cos 90 صفر يعني هتصير في قسمة على صفر
+
+167
+00:14:08,600 --> 00:14:13,540
+عام تصير الدالة غير معرفة لكن احنا بساطة بالدالة
+
+168
+00:14:13,540 --> 00:14:16,760
+المرة الماضية على الآخر لما جينا رسمنا قلت لك هاي
+
+169
+00:14:16,760 --> 00:14:20,200
+هاي الصفر موجودة هيك
+
+170
+00:14:25,010 --> 00:14:29,870
+وكانت الـ 10 مرسومة معنا بالشكل هذا وبالتالي صارت
+
+171
+00:14:29,870 --> 00:14:34,630
+الرسمة الرياضية لما شوفت صورة الدالة قدرت أُسَوِّب
+
+172
+00:14:34,630 --> 00:14:39,510
+فعلياً ال domain بشكل أسرع وبالتالي ال Cartesian
+
+173
+00:14:39,510 --> 00:14:44,830
+system ممكن يسهل عليّ فهم الدوال الهندسية وهذا
+
+174
+00:14:44,830 --> 00:14:52,210
+الكلام فعلياً لأن ال pairs اللي موجودة عندها X و Y طب
+
+175
+00:14:52,210 --> 00:14:56,350
+ما هي هذه بجاني احنا نقول f of x اللي هي بالمقصودين
+
+176
+00:14:56,350 --> 00:15:04,110
+الـ y تساوي تمام المعادلة اللي عندي الـ x من ال
+
+177
+00:15:04,110 --> 00:15:09,290
+domain و الـ y ال range وكلها عبارة عن association
+
+178
+00:15:09,290 --> 00:15:14,390
+ارتباط الـ f دالة في الـ x تربيع الـ x تربيع تمام
+
+179
+00:15:14,390 --> 00:15:23,130
+سالب اثنين أربعة اثنين أربعة مظبوط صرت أتكلم على 
+
+180
+00:15:23,130 --> 00:15:27,130
+سالب اثنين تقوين أربعة واثنين تقوين أربعة هل في
+
+181
+00:15:27,130 --> 00:15:32,070
+غيرهم مش هذا هو عبارة عن ارتباط association حسب
+
+182
+00:15:32,070 --> 00:15:36,650
+الدالة حسب تعريف الدالة وبالتالي الدوال ممكن تكتب
+
+183
+00:15:36,650 --> 00:15:42,610
+على صورة أزواج مرتبة على صورة أزواج مرتبة وبالتالي
+
+184
+00:15:42,610 --> 00:15:46,210
+صار في عندي الآن أنا بقدر أجيب مجموعة النقاط
+
+185
+00:15:46,210 --> 00:15:50,950
+مجموعة نقاط الـ function  وأعتبرهم عبارة عن list of
+
+186
+00:15:50,950 --> 00:15:54,910
+coordinates مجموعة من النقاط للدالة ومن ثم بقدر
+
+187
+00:15:54,910 --> 00:15:59,130
+أحصل على الشكل تبع المعادلة الرياضية أو ال
+
+188
+00:15:59,130 --> 00:16:03,550
+geometric shape اللي موجود عندي تمام يا شباب
+
+189
+00:16:10,180 --> 00:16:14,980
+احنا شفنا الـ graphical functions سابقاً أظبط؟ هاي
+
+190
+00:16:14,980 --> 00:16:19,960
+في عندي معادلة خطية Linear Quadratic Cubic
+
+191
+00:16:19,960 --> 00:16:24,160
+Trigonometric ليش؟ لأن في عندي الـ sine و الـ cosine
+
+192
+00:16:24,160 --> 00:16:36,960
+طبعاً؟ طب هذه الدوال فعلياً الـ line اللي سميناها وهذه
+
+193
+00:16:36,960 --> 00:16:37,800
+سميناها
+
+194
+00:16:41,230 --> 00:16:45,610
+variable بس الفراغ اللي أنا بكتب الآن فيه مصطلحين
+
+195
+00:16:45,610 --> 00:16:50,010
+مهمات فيه independent وفيه dependent وأنا
+
+196
+00:16:50,010 --> 00:16:54,730
+دائماً بأعتمد على الـ dependent variable اللي هو الـ X
+
+197
+00:16:54,730 --> 00:16:59,390
+من
+
+198
+00:16:59,390 --> 00:17:00,670
+أجل تحديد الـ independent
+
+199
+00:17:03,560 --> 00:17:10,640
+مظبوط؟ بأعتمد على المتغير المستقل عشان أجيب قيمة
+
+200
+00:17:10,640 --> 00:17:19,500
+المتغير التابع والزوج المرتب بيبقى دائماً ..
+
+201
+00:17:19,500 --> 00:17:24,500
+يا عيني عليكم صح النوم مين جاعد بتكلم؟ واحد لصاحي
+
+202
+00:17:24,500 --> 00:17:29,400
+أنا جاعد بتكلم بقول دبا مستقل وبقول تابع ورحت
+
+203
+00:17:29,400 --> 00:17:30,620
+في الكلمات ايه سويت؟
+
+204
+00:17:34,040 --> 00:17:37,380
+الـ Y هي الـ Dependent وهذه عبارة عن Independent
+
+205
+00:17:37,380 --> 00:17:44,580
+طيب ماشي الحال .. الآن كمان مرة X هي المتغير
+
+206
+00:17:44,580 --> 00:17:49,600
+المستقل Independent لا تعتمدش على حدا Independent
+
+207
+00:17:49,600 --> 00:17:56,820
+لأن شباب النفي تبع ال dependency طيب anyway
+
+208
+00:18:00,690 --> 00:18:04,890
+وبالتالي أنا دائماً ببدأ بالـ independent variable X
+
+209
+00:18:04,890 --> 00:18:11,730
+من أجل الوصول للـ dependent variable Y لأن
+
+210
+00:18:11,730 --> 00:18:17,050
+في ايش المعادلات الرياضية هذه إذا أنا فهمت أن كل
+
+211
+00:18:17,050 --> 00:18:21,450
+معادلة رياضية بقدر أشكلها بزوج مرتب على ال
+
+212
+00:18:21,450 --> 00:18:24,550
+coordinate system أو على الكارتيزين ال plane هل
+
+213
+00:18:24,550 --> 00:18:28,580
+هذه المعادلات ممكن تخدمني؟ اه ممكن تخدمني الآن هذه
+
+214
+00:18:28,580 --> 00:18:34,320
+المعادلات ممكن تستخدم في الـ Computer Animation في 
+
+215
+00:18:34,320 --> 00:18:38,080
+رسومات الحاسوب أو تمام أو الحركة بالحاسوب من أجل
+
+216
+00:18:38,080 --> 00:18:48,760
+التحكم في الحركة أنا بتدعم الحركة اللولبية هل في 
+
+217
+00:18:48,760 --> 00:18:53,130
+مجال logic function تحكمها؟ حرام عليك يا راجل فيه
+
+218
+00:18:53,130 --> 00:18:58,210
+حد بيقدر يذكر أن فيها .. أيوة أيوة ما هي الحركة 
+
+219
+00:18:58,210 --> 00:19:03,130
+اللولبية اللي بتعملها الرصاصة الخارجة الآن هذه
+
+220
+00:19:03,130 --> 00:19:06,210
+الحركة اللولبية في حد بيتذكر وين ظهرت معها الحركة
+
+221
+00:19:06,210 --> 00:19:06,470
+هذه
+
+222
+00:19:10,400 --> 00:19:12,780
+في الـ imaginary number في الـ I لما تكلمت على
+
+223
+00:19:12,780 --> 00:19:16,520
+الـ complex number وكل واحدة من تطبيقاتها اللي 
+
+224
+00:19:16,520 --> 00:19:18,880
+بتستخدم في تصميم الدارات الإلكترونية ومن ثم
+
+225
+00:19:18,880 --> 00:19:24,240
+الحركة اللولبية اللي موجودة عندنا تمام؟ وبالتالي
+
+226
+00:19:24,240 --> 00:19:29,000
+صار في عندنا أنا فعلياً X و Y طيب حركة هل درجة كل 
+
+227
+00:19:29,000 --> 00:19:33,060
+حركة حركة لولبية لأ؟ طب أنا في عندي كمان لما 
+
+228
+00:19:33,060 --> 00:19:38,460
+رمينا نقطة الحجر في بركة المياه تمام؟ هذه موجة 
+
+229
+00:19:41,080 --> 00:19:47,960
+وبالتالي استخدام الـ sine والـ cosine طيب ال
+
+230
+00:19:47,960 --> 00:19:56,740
+light الأضواء تلان في عندك شمس فوق وفي
+
+231
+00:19:56,740 --> 00:20:03,580
+عندك شجرة هنا كيف بدرسم شجرة anyway وفي عندك 
+
+232
+00:20:03,580 --> 00:20:08,420
+شجرة هنا وبدك ترسم .. بدك ظل طب عشان تجيب الظل 
+
+233
+00:20:08,420 --> 00:20:15,440
+ايش بالذنبك؟ بلزمك تحدد النقطة اللي هان والنقطة
+
+234
+00:20:15,440 --> 00:20:19,380
+اللي هان عشان تقدر تجيب ايش خط مستقيم يلتقي مع
+
+235
+00:20:19,380 --> 00:20:23,700
+نقطة هان بصيه بقدر أرسم الظلم مايزيدش عن حجم
+
+236
+00:20:23,700 --> 00:20:26,680
+المثلث اللي موجود عندي هان ولا لأ يعني ممكن الظلم
+
+237
+00:20:26,680 --> 00:20:30,520
+تبعه هيكون هان ال shadow تبع الشجرة high يكون
+
+238
+00:20:30,520 --> 00:20:36,980
+فعلياً هيك أكبر من المثلث مستحيل دائماً هو ايش اللي
+
+239
+00:20:36,980 --> 00:20:42,030
+بيحدد الظلم شباب الضوء .. الضوء .. المنطقة اللي
+
+240
+00:20:42,030 --> 00:20:47,470
+بيصلها ضوء الشمس .. فرام عليك .. المنطقة اللي
+
+241
+00:20:47,470 --> 00:20:52,570
+بيصلها ضوء الشمس مش فيها ضلة ..
+
+242
+00:20:52,570 --> 00:20:58,230
+يعني الآن اللي تحت الخط .. اللي تحت الخط مش فيها
+
+243
+00:20:58,230 --> 00:21:01,750
+ضوء شمس .. مظبوط؟ وبالتالي ايش؟ منطقة مظلة لهذه ..
+
+244
+00:21:01,750 --> 00:21:06,180
+و اللي فوق الخط ليش أوقفنا عند النقطة هاي؟ لأن هنا
+
+245
+00:21:06,180 --> 00:21:10,000
+فعلياً آخر نقطة صار فيلتر أعلى الشمس مع الأرض
+
+246
+00:21:10,000 --> 00:21:13,560
+وبالتالي ما دون هيك إذا ما فيش shadow تاني المنطقة
+
+247
+00:21:13,560 --> 00:21:17,380
+هذه مش مسة طب كيف بدي أجيب هذا الكلام؟ باعتمادك
+
+248
+00:21:17,380 --> 00:21:22,340
+على ال coordinate system من أجل الرسم الصحيح تمام
+
+249
+00:21:22,340 --> 00:21:25,440
+بعد
+
+250
+00:21:25,440 --> 00:21:28,640
+ذلك ممكن أنا أستخدم أو استخدام ال virtual camera
+
+251
+00:21:28,640 --> 00:21:36,410
+زاوية التصوير الآن تذكر أنا قلت لك لما أنا بأجرب بعمل
+
+252
+00:21:36,410 --> 00:21:41,810
+zoom أو بأبعد ايش بيزيد فيه عندي؟ بالتفاصيل أكثر أو
+
+253
+00:21:41,810 --> 00:21:45,990
+بين جسد زاوية الرؤية أو اتساع الرؤية ايش بتزيد
+
+254
+00:21:45,990 --> 00:21:53,590
+أنا فعلاً زاوية ثابتة بس العمود المقابل هي مثلث على
+
+255
+00:21:53,590 --> 00:21:54,530
+فرض أن أنا واجب هنا
+
+256
+00:22:01,330 --> 00:22:05,010
+Angle of depression و Angle of elevation وارتفاع
+
+257
+00:22:05,010 --> 00:22:12,110
+هذا المفروض نسوي هذا لما أنا بأقدم بأقف هان بيصير 
+
+258
+00:22:12,110 --> 00:22:17,330
+أشوف أجل لأن نفس الزاوية هان هي نفس الزاوية هان ولا
+
+259
+00:22:17,330 --> 00:22:21,450
+أ وبالتالي أنا سرت كارث عبارة عن النقاط كل ما 
+
+260
+00:22:21,450 --> 00:22:26,730
+بأقدم أو برجع بتختلف النقاط اللي عندي وبالتالي
+
+261
+00:22:26,730 --> 00:22:32,130
+بتختلف زاوية الرؤية وهذه بتمثلها تلزمنا نتكلم على
+
+262
+00:22:32,130 --> 00:22:34,870
+ال virtual camera وتحريك ال virtual camera
+
+263
+00:22:34,870 --> 00:22:39,630
+وبالتالي بدل ما أتكلم أنا على relation بين X و Y
+
+264
+00:22:39,630 --> 00:22:45,130
+أروح أكتب المعادلة X بيساوي Y بيساوي MX زائد C
+
+265
+00:22:45,130 --> 00:22:49,550
+بقدرش أروح أسوي فيها الشباب أروح أرسمها أرسم 
+
+266
+00:22:49,550 --> 00:22:54,650
+الدالة اللي موجودة عندي هنا وبالتالي
+
+267
+00:22:56,040 --> 00:22:59,140
+بتصير الدالة هذه أو الخط الرسم تبع الدالة هي اللي
+
+268
+00:22:59,140 --> 00:23:04,220
+ممكن أنا امشي عليها ال movement مش بس هيك كمان لو 
+
+269
+00:23:04,220 --> 00:23:07,580
+أنا جيت وقلت لك كالتالي هي على ال Cartesian system
+
+270
+00:23:07,580 --> 00:23:13,660
+أنا فيه عند النقطة هذه اللي هي واحد واثنين أو
+
+271
+00:23:13,660 --> 00:23:17,160
+واحد واحد واثنين okay واحد وواحد مش قضية كثير
+
+272
+00:23:17,160 --> 00:23:23,100
+وهذه النقطة بدي أعمل لها انعكاس بدي أعملها انعكاس
+
+273
+00:23:23,100 --> 00:23:33,320
+حول الـ Y-axis انعكاس حول الـ Y-axis معناته بدي 
+
+274
+00:23:33,320 --> 00:23:35,660
+هتصير .. ليش .. ما فيش عدد تخيل .. سالب تخيّلية
+
+275
+00:23:35,660 --> 00:23:42,670
+الآن انعكاس هتصير هنا نتراقب هذه هتكون سالب واحد و
+
+276
+00:23:42,670 --> 00:23:46,770
+واحد ليش هذا الكلام صار؟ لأن فعلياً في عندي معادلة
+
+277
+00:23:46,770 --> 00:23:51,310
+خاصة بالانعكاس انعكاس حول محور يعني بتثبت القيمة
+
+278
+00:23:51,310 --> 00:23:55,950
+تبع المحور هذا المطلوب أشجار بقول لك انعكاس حول الـ Y
+
+279
+00:23:55,950 --> 00:24:02,540
+Axis ثبت قيمة الـ Y وغيرت إشارة من الـ X اللي هو
+
+280
+00:24:02,540 --> 00:24:05,860
+المحور الثاني اللي موجود عندها وحنشوف هذا الانعكاس 
+
+281
+00:24:05,860 --> 00:24:09,200
+والـ rotation في المحورين على ال XY و XYZ إيش 
+
+282
+00:24:09,200 --> 00:24:16,840
+بتقول؟ الصين هي ال Y هو المحور الصادر مش اللي مش
+
+283
+00:24:16,840 --> 00:24:21,620
+في الصين طيب وبالتالي أنا صرت ممكن أعتمد على
+
+284
+00:24:21,620 --> 00:24:26,370
+المعادلات هذه لأن في حد يستطيع أقول له أنا X أو في
+
+285
+00:24:26,370 --> 00:24:34,450
+الانعكاس ال Y بدها تساوي Y وال X بدها تساوي minus 
+
+286
+00:24:34,450 --> 00:24:37,990
+X هذه المعادلة اللي صارت اللي موجودة عندي هنا
+
+287
+00:24:37,990 --> 00:24:42,710
+وبهيك أصبحت أنا بقدر أو بأؤمن انعكاس حول ال Y axis
+
+288
+00:24:42,710 --> 00:24:52,990
+هات لي أي نقطة لو كانت النقطة هنا واحد أو نص وسالب
+
+289
+00:24:52,990 --> 00:24:53,490
+خمسة
+
+290
+00:24:56,360 --> 00:25:04,380
+أعتبرها أنها نص وسالب خمسة عكسها سالب 
+
+291
+00:25:04,380 --> 00:25:09,160
+نص وسالب خمسة لأنه حسب المعادلة ال Y  لربها ثابتة
+
+292
+00:25:09,160 --> 00:25:15,340
+هي اللي قبلها تكون طيب هذه إيه شوفها هذه سالب نص و
+
+293
+00:25:15,340 --> 00:25:20,030
+سالب خمسة لل Y قيمة ال Y بتتغير وبالتالي صار في
+
+294
+00:25:20,030 --> 00:25:25,230
+عندي معادلات... معادلات رياضية لها حركة أو لها
+
+295
+00:25:25,230 --> 00:25:28,270
+شغل أساسي في موضوع ال Graphic هي لأن أنا عملت
+
+296
+00:25:28,270 --> 00:25:31,970
+انعكاس طيب لو أنا جبت عندي مكعب والمكعب هذا
+
+297
+00:25:31,970 --> 00:25:34,050
+بده يعمل روتيشن... بده يتشكلب... بده يرمي على
+
+298
+00:25:34,050 --> 00:25:38,290
+الأرض زي ما بنرمي حجر النرد مثلاً أو جبت كرة...
+
+299
+00:25:38,290 --> 00:25:42,650
+جبت كرة وبده يدحرجها على الأرض مش منطق ولا أنت
+
+300
+00:25:42,650 --> 00:25:48,650
+هتستغفل المشاهد وتروح تجيب له صورة تمام وتقول هذه
+
+301
+00:25:48,650 --> 00:25:52,030
+الصورة ليش قاعدة في الدحرجة لأ مفهوش بدك فعليًا تعمل
+
+302
+00:25:52,030 --> 00:25:56,230
+real object ده تعمل كرة حقيقية sphere تمام و
+
+303
+00:25:56,230 --> 00:26:00,590
+تكسيها بطبقة معينة مادة معينة اللي هي الجلد مثلاً
+
+304
+00:26:00,590 --> 00:26:04,710
+تخيل كرة سلة اللي هي مادة كرة السلة ولما تعمل
+
+305
+00:26:04,710 --> 00:26:10,780
+... لما بدك تشكل الدحرجة بدك تتكلم على rotation ما
+
+306
+00:26:10,780 --> 00:26:17,160
+هو rotation؟ هو عبارة عن الدوران rotation وبالتالي
+
+307
+00:26:17,160 --> 00:26:21,880
+صارت المعادلات الرياضية هذه جزء أساسي أو جزء أصيل
+
+308
+00:26:21,880 --> 00:26:27,700
+من الحركة اللي موجودة عنها طيب وبالتالي صار في
+
+309
+00:26:27,700 --> 00:26:31,800
+عندي أنا بدل ما أتكلم عن العلاقة بين x و y ال graphs
+
+310
+00:26:31,800 --> 00:26:36,580
+أو الرسومات بتشكل ال relation بين ال activities زي
+
+311
+00:26:36,580 --> 00:26:40,990
+الحركة وال rotation وال sizeو ال lightness
+
+312
+00:26:40,990 --> 00:26:46,210
+الإضاءة واللون في مقابل الزمن يعني بقى أنا بدي
+
+313
+00:26:46,210 --> 00:26:49,330
+أتكلم أنه أنا بدي أصمم أبني المعادلات الزمن
+
+314
+00:26:49,330 --> 00:26:55,830
+المعادلات تبعاتي تبعًا للزمن ال movement بعد الحركة
+
+315
+00:26:55,830 --> 00:26:59,890
+أو المقذوف هذا اللي أنا رميته بعد نص ثانية ووضعية
+
+316
+00:26:59,890 --> 00:27:03,070
+هو اللي بيكون تمام؟ وضعیته هو اللي بده يكون متواصل
+
+317
+00:27:03,070 --> 00:27:06,730
+هذه الصورة بتتكلم على حركة مع زمن بتتكلم rotation
+
+318
+00:27:06,730 --> 00:27:10,230
+بتعمل دوران سرعة الدوران وضعیته مش بيتكون في
+
+319
+00:27:10,230 --> 00:27:13,830
+الثانية فهذه كلها عبارة عن معادلات لازم تتحقق من
+
+320
+00:27:13,830 --> 00:27:17,510
+ناحية رياضية ومن ثم مراسمها بتتم على ال Cartesian
+
+321
+00:27:17,510 --> 00:27:24,970
+plane اللي هي XOY اه
+
+322
+00:27:24,970 --> 00:27:26,190
+ده مش شغال
+
+323
+00:27:34,480 --> 00:27:41,640
+مثال الرسم اللي على اللوحة بتمثل العلاقة بقعدين ال
+
+324
+00:27:41,640 --> 00:27:46,400
+brightness شدة الإضاءة أو الإضاءة تمام مع ال frame
+
+325
+00:27:46,400 --> 00:27:49,100
+number ولما أتكلم عن ال frame مش هبقى عادة
+
+326
+00:27:49,100 --> 00:27:52,960
+بالفيديو اللي بيجي بتكلم الفيديو هذا يمثل frame
+
+327
+00:27:52,960 --> 00:28:00,060
+per second بأجي بقول 25 frame per second إيش يعني
+
+328
+00:28:00,060 --> 00:28:05,300
+الفيديو هو عبارة عن مجموعة من الصور الثابتة اللي
+
+329
+00:28:05,300 --> 00:28:12,040
+بتم عرضها بشكل متسلسل بتم عرضها بشكل متسلسل الآن
+
+330
+00:28:12,040 --> 00:28:18,280
+الصور هذه يا محمد إذا عرضت بسرعة يعني حطيت بقول
+
+331
+00:28:18,280 --> 00:28:22,080
+مثلاً 50 frame في الثانية بتحس الإحداث كيف ناشئة
+
+332
+00:28:22,080 --> 00:28:28,510
+طائرة وإذا قللت ال frames هيحسها بماشي ببطء
+
+333
+00:28:28,510 --> 00:28:32,910
+المثال اللي أنت بتقوله دليل واضح على أنه فعليًا أي
+
+334
+00:28:32,910 --> 00:28:36,290
+movie هي عبارة عن طيب نتكلم عن ال animation هي
+
+335
+00:28:36,290 --> 00:28:40,730
+عبارة عن مجموعة من الصور الآن لو أنت جربت تمسك
+
+336
+00:28:40,730 --> 00:28:46,040
+دفترك تمام أو مثلًا على عشر صفحات متتاليات بدأت
+
+337
+00:28:46,040 --> 00:28:49,580
+ترسم النجمة فقط في بداية الصفحة والصفحة اللي بعدها
+
+338
+00:28:49,580 --> 00:28:53,080
+عملت إزاحة بسيطة للنجمة واستخدمت نفس مقدار
+
+339
+00:28:53,080 --> 00:28:56,980
+الإزاحة هذه على كل الصفحات المتتالية ومسكت الدفتر
+
+340
+00:28:56,980 --> 00:29:01,440
+وعملت قرّبت هيك ورا بعض بتحس إن النجمة فعليًا
+
+341
+00:29:01,440 --> 00:29:05,540
+قاعدة بتتحرك وهذا هو اللي بيصير في الكمبيوتر أنا خلال
+
+342
+00:29:05,540 --> 00:29:09,780
+الفقرة الزمنية هذه تلاحظ أنت لما... كأني بقول لما
+
+343
+00:29:09,780 --> 00:29:15,910
+قلّبت الورق عن بعض بشكل سريع كم ثانية أخدت؟ بين كل
+
+344
+00:29:15,910 --> 00:29:20,510
+ورقة والثانية، أجزاء من الثانية فعليًا، والآن، لو
+
+345
+00:29:20,510 --> 00:29:24,090
+كان حجم الورقة اللي بينها عرض سريع، هتحس أنه فيه
+
+346
+00:29:24,090 --> 00:29:27,810
+قفزات، ليش؟ لسه، يعني مش هتقدر تطبق الحركة، مش
+
+347
+00:29:27,810 --> 00:29:30,690
+هتقدر تطبق الحركة، ولو كانت، يعني كل ثانية تتعرض
+
+348
+00:29:30,690 --> 00:29:37,180
+لصورة، بتحسها بطيئة بشكل مميت تقريبًا 25 frame per
+
+349
+00:29:37,180 --> 00:29:41,180
+second average average للشغلات اللي موجودة عندها
+
+350
+00:29:41,180 --> 00:29:46,980
+anyway الهدراوليك ريليشن بتقول لي أن شدة الإضاءة ال
+
+351
+00:29:46,980 --> 00:29:52,220
+brightness تمام بتتغير مع مرور الزمن بتتغير مع
+
+352
+00:29:52,220 --> 00:29:56,620
+مرور الزمن ليش شدة
+
+353
+00:29:56,620 --> 00:29:58,740
+الإضاءة ال brightness أو الضوء
+
+354
+00:30:01,490 --> 00:30:05,670
+في تيار مثلاً متردد أنا بفترض أن والله هنا الشمس
+
+355
+00:30:05,670 --> 00:30:12,250
+تمام؟ فيه الشمس اللي هي حركة وفي نفس الوجهة في في
+
+356
+00:30:12,250 --> 00:30:16,230
+الموقف اللي عندي في مجموعة من ال clouds بدها تمر
+
+357
+00:30:16,230 --> 00:30:22,230
+هتلتقي الشمس وال clouds في المنطقة هذه فشدة
+
+358
+00:30:22,230 --> 00:30:27,550
+الإضاءة كيف هتصير؟ هتقلّ، هتعتّم وبعد هيك لما ال
+
+359
+00:30:27,550 --> 00:30:32,340
+clouds ترابها وماشي أكثر من صورة الشمس هتروح و
+
+360
+00:30:32,340 --> 00:30:37,140
+هترجع عاش أو هتطلع الشمس لإضاءتها أو لغروبها وتفسر
+
+361
+00:30:37,140 --> 00:30:40,520
+الدوال الموجودة هذه كلها عبارة عن functions أنت
+
+362
+00:30:40,520 --> 00:30:45,020
+بتستخدمها في شغل فعلي عشان تطبطب وغالباً هتلاقي
+
+363
+00:30:45,020 --> 00:30:48,980
+البرنامج جاهز بيقول لك هي ال curve تبع الإضاءة شكله
+
+364
+00:30:48,980 --> 00:30:52,280
+مثلاً أنت ممكن بال mouse تبدأ ترفع أو تنزل في ال
+
+365
+00:30:52,280 --> 00:30:54,780
+curve اللي موجود عندك ومباشرة تشوف ال effect
+
+366
+00:30:54,780 --> 00:30:57,380
+تبعه على ال shape اللي موجود
+
+367
+00:31:02,310 --> 00:31:06,310
+يعني في أنا فعليًا في عندي في بعض وثيق ما بين ال
+
+368
+00:31:06,310 --> 00:31:10,610
+Cartesian plane وال geometric functions أو ال
+
+369
+00:31:10,610 --> 00:31:13,230
+graphical functions أو ال mathematical functions
+
+370
+00:31:13,230 --> 00:31:20,850
+بشكل عام جيومتريك شباب متركيش 
+
+371
+00:31:20,850 --> 00:31:25,290
+تريجونومتري
+
+372
+00:31:25,290 --> 00:31:30,920
+قولي عبارة عن اختصار بقياش حساب المثلثات Tree أو
+
+373
+00:31:30,920 --> 00:31:38,340
+Tri ثلاثي Gono اقتصار على المثلثات 
+
+374
+00:31:38,340 --> 00:31:42,300
+اللي... اللهم صلي علي سيد محمد Polygon Polygon
+
+375
+00:31:42,300 --> 00:31:47,760
+تمام وMetric متري أو قياس Geometric
+
+376
+00:31:49,510 --> 00:31:53,250
+شكلتين جيو يعني أنا بتكلم على جزء من الجغرافيا أو 
+
+377
+00:31:53,250 --> 00:31:58,030
+رسم وبتكلم على متر شغلة مش مطبوعة بقياس يعني الشغلة
+
+378
+00:31:58,030 --> 00:32:01,370
+مش عشوائية شغلة مش عشوائية يعني أنا بتكلم على
+
+379
+00:32:01,370 --> 00:32:04,930
+جيومتريك أيّة كل graphics بالكمبيوتر في
+
+380
+00:32:04,930 --> 00:32:09,810
+الجيومتريك أما بتكون 2D أو 3D وهذا بنقول عنها 2D
+
+381
+00:32:09,810 --> 00:32:16,890
+shapes أشكال أو 3D objects مجسمات 
+
+382
+00:32:25,910 --> 00:32:43,950
+هذا shape object
+
+383
+00:32:43,950 --> 00:32:52,150
+2D 2D يعني فقط أنا بتكلم في بعدين اللي هما 2D XY
+
+384
+00:32:53,770 --> 00:32:59,870
+بتكلم في ال object بتكلم في تلت اتجاهات ال
+
+385
+00:32:59,870 --> 00:33:12,450
+3D object X و Y و Z فضل اللي بتنحنح طيب
+
+386
+00:33:12,450 --> 00:33:17,910
+ال polygons ال circuits ال curves كلها عبارة عن
+
+387
+00:33:17,910 --> 00:33:23,190
+shapes طيب هدول بنعرفهم طيب و هدول
+
+388
+00:33:28,120 --> 00:33:34,420
+شو رأيكم؟ الرسم
+
+389
+00:33:34,420 --> 00:33:41,840
+الأخير مكسّرات مش غلط برضه أو chips الله يعينكم يا 
+
+390
+00:33:41,840 --> 00:33:45,160
+شباب هي واضحة عبارة عن مجموعة من ال polygons تم 
+
+391
+00:33:45,160 --> 00:33:50,380
+تجميعها مع بعض باعتماد على المثلث فقط تمام؟ وموضّعة
+
+392
+00:33:50,380 --> 00:33:58,990
+بشكل منظم طيب هي؟ فيها دوران فيها rotation هي عبارة
+
+393
+00:33:58,990 --> 00:34:02,770
+عن مجموعة من ال lines لأن أنا بتكلم عن arbitrary
+
+394
+00:34:02,770 --> 00:34:07,190
+curves لكن ال curve هذا أنا ضبطه يعني أنت تخيل
+
+395
+00:34:07,190 --> 00:34:11,610
+تخيل لو أنا أجيت كملت ال curve ده لا يبقى ولا
+
+396
+00:34:11,610 --> 00:34:15,710
+يا شباب عفوًا
+
+397
+00:34:15,710 --> 00:34:19,690
+ايوه
+
+398
+00:34:19,690 --> 00:34:25,790
+أكثر به طيب لو أنا أجيت وبدأت أعمل shifting لل
+
+399
+00:34:25,790 --> 00:34:26,290
+curve هذا
+
+400
+00:34:31,000 --> 00:34:35,740
+عمل إزاحة تمام؟ وممكن أنا أغيّر على المعادلة كمان
+
+401
+00:34:35,740 --> 00:34:40,460
+عشان أدّي كل واحد يبدأ يتشابك مع الثاني بعد فترة
+
+402
+00:34:40,460 --> 00:34:44,520
+من الزمن لأن الأشكال اللي عندي منتظمة هأحصل على شكل
+
+403
+00:34:44,520 --> 00:34:49,340
+وبالمناسبة لو رحت أنت دورّت على الأشكال هذه و
+
+404
+00:34:49,340 --> 00:34:52,620
+سألت إيش المعادلات الرياضية تبعها هتلاقي
+
+405
+00:34:52,620 --> 00:34:55,900
+المعادلات موجودة لهيك أشكال طيب
+
+406
+00:34:59,430 --> 00:35:04,090
+ال fractals اللي هي عبارة عن التأثيرات أو اللي
+
+407
+00:35:04,090 --> 00:35:08,230
+احنا بنسميها أحيانًا الجلد يا شباب أو الملمس تبع 
+
+408
+00:35:08,230 --> 00:35:15,190
+الصورة اللي موجودة عندها بينما لما أنا بتكلم على
+
+409
+00:35:15,190 --> 00:35:19,270
+object لما أصمم أتكلم على object في ال 3D بتكلم
+
+410
+00:35:19,270 --> 00:35:23,590
+على مجموعة من الأوجه ولا لأ؟ يعني الآن جاب شوية
+
+411
+00:35:23,590 --> 00:35:26,990
+لما رصّصنا المكعب كم وجه للمكعب يا شباب؟ 6
+
+412
+00:35:45,530 --> 00:35:50,550
+أيّ وجه اللي بده يبين حسب الاتجاه اللي أنا بعمل فيه
+
+413
+00:35:50,550 --> 00:35:54,890
+rotation إذا أنا مسكت المكعب من الجنبين وعملت 
+
+414
+00:35:54,890 --> 00:35:58,370
+rotation للأمام معناته أنا بس عندي فرصة أني أشوف
+
+415
+00:35:58,370 --> 00:36:03,190
+أربع أوجه، مظبوط؟ طيب، لو مسكته من فوق وتحت و
+
+416
+00:36:03,190 --> 00:36:06,430
+خليته لف حوالي... اللي بتيجي عقارب الساعة أو ضد
+
+417
+00:36:06,430 --> 00:36:10,170
+عقارب الساعة، بشوف كمان أربع أوجه، وإذا مسكته من
+
+418
+00:36:10,170 --> 00:36:17,030
+زاويتين، صار بإمكاني أشوف... أشوف الستة، أنا مسكته
+
+419
+00:36:17,030 --> 00:36:20,710
+من الزاويتين هيك وبدي ألفه، حسب الضبط، أنا مليون
+
+420
+00:36:20,710 --> 00:36:24,920
+بانظر له، بشوف ثلاثة وبالتالي بتصير حسب ال rotation
+
+421
+00:36:24,920 --> 00:36:29,720
+انت هايه تخيله هايه هايه امسكته من الزاوية هيك
+
+422
+00:36:29,720 --> 00:36:33,420
+وبدي اعمل rotate على فرض ان هذا هو المكعب ايش انت
+
+423
+00:36:33,420 --> 00:36:39,020
+جاعة بتشوف من زاويتك بتشوف واحد اثنين ثلاثة
+
+424
+00:36:39,020 --> 00:36:43,420
+بتشوفش التلاتة التانية هذه behind طيب انت تخيل ان
+
+425
+00:36:43,420 --> 00:36:48,440
+في عندك object بدك تعمل rotation وفي كاميرا قاعدة 
+
+426
+00:36:48,440 --> 00:36:52,200
+تتحرك في مقابل عملية ال rotation معناته انت بدك
+
+427
+00:36:52,200 --> 00:36:57,040
+تطبطب وتعرف من الوجه اللي بده يبين تمام؟ وهذا
+
+428
+00:36:57,040 --> 00:37:00,920
+هنشوفه ان شاء الله لاحقا لما انا بتكلم على ال
+
+429
+00:37:00,920 --> 00:37:07,130
+objects بتكلم على الملمس جدّاش نعم أو خشن أو جدّاش
+
+430
+00:37:07,130 --> 00:37:10,490
+ممكن يكون fluffy أو ممكن يكون خشن أو مشابه اللي هي
+
+431
+00:37:10,490 --> 00:37:14,850
+أي ملمس أو إضافي بدي أضيفه على الشكل اللي موجود
+
+432
+00:37:14,850 --> 00:37:18,570
+عندي هنا وبالتالي بصير وبتكلم على مجموعة من
+
+433
+00:37:18,570 --> 00:37:21,830
+العناصر اللي موجودة خلّيني أبدأ مع ال polygonal
+
+434
+00:37:21,830 --> 00:37:25,850
+shapes ال
+
+435
+00:37:25,850 --> 00:37:32,850
+polygon بتشكل من ال chain of vertices سلسلة من
+
+436
+00:37:33,760 --> 00:37:37,700
+النقاط سلسلة من النقاط زي ما جابت شوية قلتلك أنا
+
+437
+00:37:37,700 --> 00:37:44,620
+صفر و صفر صفر و ثلاثة ثلاثة و صفر لما ذكرتلك 
+
+438
+00:37:44,620 --> 00:37:48,540
+السلسلة هذه هي عبارة عن بي واحد و بي اثنين و بي
+
+439
+00:37:48,540 --> 00:37:54,380
+ثلاثة عادة لما أشير للسير هذا polygon الشكل النقاط
+
+440
+00:37:54,380 --> 00:37:58,140
+هذه أنا بأفترض أنك أنت هتوصل بي واحد مع بي اثنين
+
+441
+00:37:58,140 --> 00:38:03,910
+بي اثنين مع بي ثلاثة و B3 مع B1 عشان يصير في عندي
+
+442
+00:38:03,910 --> 00:38:11,530
+أنا polygon بنفهش أروح أوصل أنا B1 مع B2 هيها هي
+
+443
+00:38:11,530 --> 00:38:19,450
+B1 B2 و هي B3 و أسقط لازم تكمل الشكل ففي ال
+
+444
+00:38:19,450 --> 00:38:22,350
+polygon أنا جاي بتكلم على chain of vertices مجموعة
+
+445
+00:38:22,350 --> 00:38:29,330
+من النقاط لازم تكون ايش مسكرة وفي عندي خط مستقيم
+
+446
+00:38:29,330 --> 00:38:37,110
+بربط بين كل نقطتين متتاليتين بربط كل نقطتين
+
+447
+00:38:37,110 --> 00:38:40,890
+متتاليتين اللي هم بيسميهم neighboring points
+
+448
+00:38:40,890 --> 00:38:42,270
+النقاط المتجاورة
+
+449
+00:38:45,340 --> 00:38:51,520
+مع اثنين واثنين مع ثلاثة وبيكتسكر السلسلة واحد
+
+450
+00:38:51,520 --> 00:38:56,300
+مع ثلاثة يعني النقطة الأولى مع النقطة الأخيرة و
+
+451
+00:38:56,300 --> 00:38:59,880
+طبعا كل نقطة زي ما شوفنا X و Y X و Y و بالتالي
+
+452
+00:38:59,880 --> 00:39:04,740
+بأحصل على الشكل اللي موجود عندي هاي مثلا ايش بنسم
+
+453
+00:39:04,740 --> 00:39:11,060
+الشكل هذا شباب شبه منحرف شبه منحرف
+
+454
+00:39:18,670 --> 00:39:23,990
+طيب الآن في النقاط اللي موجودة عندي هنا سواء هذه
+
+455
+00:39:23,990 --> 00:39:30,190
+أو النقاط هذه تخيل لو أنا اجيت قلتلك بدي أطرح
+
+456
+00:39:30,190 --> 00:39:35,010
+تمام من كل نقطة اثنين two units
+
+457
+00:39:45,640 --> 00:39:51,230
+الرسمة الجديدة هي عبارة عن ايش؟ مثلث بس ال position
+
+458
+00:39:51,230 --> 00:39:55,490
+تبعه يعني هو كأني بنجي بنقل صوت المثلث عملت
+
+459
+00:39:55,490 --> 00:39:59,750
+إزاحة للمثلث، مصبوط؟ طيب تخيل لو قلتلك أنا بدي
+
+460
+00:39:59,750 --> 00:40:03,570
+أضرب النقاط هذه في اثنين، بديش أطرح منها اثنين،
+
+461
+00:40:03,570 --> 00:40:06,810
+بدي أضربها في اثنين، بعمل scaling، إذا ضربتها في
+
+462
+00:40:06,810 --> 00:40:11,990
+اثنين، بعمل تكبير، مصبوط؟ ولو ضربت في نصف بعمل
+
+463
+00:40:11,990 --> 00:40:16,470
+تصغير، معناته الآن عملية الجمع أو الطرح تعمل إزاحة
+
+464
+00:40:16,470 --> 00:40:19,990
+وعملية الضرب تعمل scaling تكبير أو تصغير Scale
+
+465
+00:40:19,990 --> 00:40:24,930
+وبالتالي أنا فعليا تعاملي مع الأشكال هيكون عبارة عن
+
+466
+00:40:24,930 --> 00:40:28,970
+عملية رياضية بكل بساطة، أما بتدبر في القيمة اللي
+
+467
+00:40:28,970 --> 00:40:32,530
+أنا بديها، بس الشيطانة شباب كمان مرة لما أنا بدي
+
+468
+00:40:32,530 --> 00:40:36,030
+أعمل Scale أو بدي أعمل إزاحة بدي تكون الحسبة تبعته
+
+469
+00:40:36,030 --> 00:40:41,390
+مضمونة ومنطقية فمش معقول أنا جالب أقولك بدي ترسملي
+
+470
+00:40:41,390 --> 00:40:44,770
+أو نعمل animation لسلحفاة تتحرك على الطاولة هذه
+
+471
+00:40:44,770 --> 00:40:50,530
+خلال ثانية هذه السلحفاة ووصلت الباب مش منطق ولا شو
+
+472
+00:40:50,530 --> 00:40:56,950
+رأيكوا؟ ممكن إذا أنت نمت هنا على الطاولة ترميها
+
+473
+00:40:56,950 --> 00:41:01,290
+رمي كم
+
+474
+00:41:01,290 --> 00:41:06,160
+واحد؟ خمسمائة ممتاز يعني أنت فعليا بتتحرك اللي هي
+
+475
+00:41:06,160 --> 00:41:11,480
+بسرعة رصاصة بس ليش قاعدين الشباب احنا قاعدين
+
+476
+00:41:11,480 --> 00:41:16,040
+نتكلم أنت بدك تشتغل شغلها منطقيا الآن إذا أقل
+
+477
+00:41:16,040 --> 00:41:18,440
+والله هي أخذت وجهتها وهي تمشي مانعته أنت زي
+
+478
+00:41:18,440 --> 00:41:21,360
+الأرانب نمت على الطاولة تمشي ويجي وصحيت اللي بعد
+
+479
+00:41:21,360 --> 00:41:29,950
+ما جربت لازم تكون واقعية كلها حط أرانب وحط القوقع
+
+480
+00:41:29,950 --> 00:41:35,590
+على دهره عشان نقوله لانه شاسمه قرب المتسلحف
+
+481
+00:41:35,590 --> 00:41:38,630
+لأن 
+
+482
+00:41:38,630 --> 00:41:46,510
+أي شكل أي شكل اللي بيلزمنا تمام أي polygon بقدر
+
+483
+00:41:46,510 --> 00:41:52,830
+أحسب مساحته احنا الآن لو كان هي عند المربع هذا
+
+484
+00:41:55,670 --> 00:41:59,890
+أو المستطيل سامي زي ما بدك احسب مساحته لأن قانونك 
+
+485
+00:41:59,890 --> 00:42:04,450
+جاهز طول الضلع في نفسه لو كان مربع لو كان مستطيل
+
+486
+00:42:04,450 --> 00:42:07,610
+طول في العرض لو كان مثلث نصف القاعدة في الارتفاع
+
+487
+00:42:07,610 --> 00:42:13,330
+لو كان لو كان تمام؟ طيب شبه المنحرف تبع قبل شوية
+
+488
+00:42:13,330 --> 00:42:19,930
+هذا مجموعة قاعدتين بتشغل عليها عبارة عن ايش؟ مثلث
+
+489
+00:42:19,930 --> 00:42:20,390
+مستطيل
+
+490
+00:42:23,690 --> 00:42:30,790
+مثلث ومستطيل فعليا هيه صح؟ اه وبالتالي أنا بقدر
+
+491
+00:42:30,790 --> 00:42:36,430
+أتكلم انه هي الارتفاع هذا يساوي هذا وصار في عندي
+
+492
+00:42:36,430 --> 00:42:40,310
+هذا بقدر أن أجيب الارتفاع مصبوط وبقدر أحسب المثلث
+
+493
+00:42:40,310 --> 00:42:44,090
+مساحة المثلث ومساحة المستطيل واجيبه لكن في عندنا
+
+494
+00:42:44,090 --> 00:42:48,770
+شغلة عشان ما توهش في المتاهة طيب لو كان الشكل سداسي
+
+495
+00:42:57,900 --> 00:43:04,840
+شو نساوي؟ كان مثلث ايه؟
+
+496
+00:43:04,840 --> 00:43:10,560
+ايش بيساوي؟ هيك؟ كل دلوقت معاك؟ كل دلوقت معاك؟ هاي
+
+497
+00:43:10,560 --> 00:43:18,560
+خلاص هتلك مثلثات غلط غلط هذا مش مثلث هذا مش مثلث
+
+498
+00:43:26,560 --> 00:43:33,020
+لأ بديش تمحيه طيب يعني في الآخر بدك تسقط عمودين و
+
+499
+00:43:33,020 --> 00:43:38,320
+تبدأيش تعمل هاي مستطيل وتعمل أربع مثلثات أو
+
+500
+00:43:38,320 --> 00:43:43,240
+مستطيل ومثلثين مش قضية إشكالية بس في الآخر فعليا
+
+501
+00:43:43,240 --> 00:43:48,920
+بدك تحطه قدامك وتجيب مصر رجلام وتبدأيش جطب بدون
+
+502
+00:43:48,920 --> 00:43:53,660
+ما تجطب احنا فيه قانون سهل هلا بقولك ايش هو
+
+503
+00:43:53,660 --> 00:43:54,140
+القانون
+
+504
+00:43:58,080 --> 00:44:05,280
+النقاط المتسلسلة هيهم النقطة الأولى بي واحد بي
+
+505
+00:44:05,280 --> 00:44:14,400
+اثنين بي ثلاثة بي أربعة أو إن شئت بي صفر بي واحد
+
+506
+00:44:14,400 --> 00:44:20,060
+بي اثنين بتفرق كثير معاك؟ لأ المساحة الـ polygon
+
+507
+00:44:20,060 --> 00:44:28,350
+هي عبارة عن نصف واحنا قلنا التسلسل المهم في النقاط X
+
+508
+00:44:28,350 --> 00:44:38,990
+الخاصة بـ بي و Y0 مضروبة في X0Y0
+
+509
+00:44:38,990 --> 00:44:47,490
+X1Y1 X2Y2 X3Y3
+
+510
+00:44:47,490 --> 00:44:51,030
+والمقلوب الآن عشان أحسب البوليغون هذا مساحة
+
+511
+00:44:51,030 --> 00:44:55,250
+البوليغون بدي أعمل ضرب تبادل بين كل نقطتين
+
+512
+00:44:55,250 --> 00:45:11,050
+متتاليتين نصف المساحة يساوي نصف في X0 في Y1 ناقص Y0
+
+513
+00:45:11,050 --> 00:45:26,460
+في X1 زائد خلصنا من هذه الآن X1 في Y2 ناقص Y1 في X2
+
+514
+00:45:26,460 --> 00:45:32,740
+زائد صعبة؟ صعبة؟ بتضلك ناشي فيها، ولو كانت السلسلة
+
+515
+00:45:32,740 --> 00:45:39,540
+هذه عفواً، ست نقاط، حتى لو كانت مليون طيب بتخلص
+
+516
+00:45:39,540 --> 00:45:42,860
+بكرا و ليش احنا بنتعلم computer يا حبيبي؟ و ليش
+
+517
+00:45:42,860 --> 00:45:47,220
+بنتعلم برمجة؟ عشان بدنا نقعد نحسب لحالة؟ لأ عشان
+
+518
+00:45:47,220 --> 00:45:50,300
+تيجي تستخدم ال python على سبيل المثال وتقول أنا
+
+519
+00:45:50,300 --> 00:45:55,200
+بدي ألاّها لحالة عامة عملية هذه هي بأخذ نقطتين بمررهم
+
+520
+00:45:55,200 --> 00:45:58,940
+لل function وبقول جيبليهم فبتصير أجل من ثانية
+
+521
+00:45:58,940 --> 00:46:04,220
+بتكون عندك ال value موجودة هيك علمنا هيك تخصصنا تبع
+
+522
+00:46:04,220 --> 00:46:08,460
+الكمبيوتر أنت فعلا تنظر للمعادلة عن انه ايش بخلص
+
+523
+00:46:08,460 --> 00:46:11,600
+بكرا ولا بعده لما بدأ .. لو بدأش نبقى نهار فعلا اه
+
+524
+00:46:11,600 --> 00:46:18,820
+مصمم بكلامك وقمصر كمان كمان إن شاء الله بتخلص إذا
+
+525
+00:46:18,820 --> 00:46:24,240
+بتعرفش تستخدم الكليكوليتر مش هتخلص okay تخلص روحها
+
+526
+00:46:24,240 --> 00:46:27,420
+هاش
+
+527
+00:46:27,420 --> 00:46:35,550
+يا كامل تخلص روحه الآن آخر نقطة يا شباب هذه هذه
+
+528
+00:46:35,550 --> 00:46:42,730
+ايش بدك تساوي بدك تفترض أن وراها مباشرة X0 وY0
+
+529
+00:46:42,730 --> 00:46:46,030
+تعمل ضرب تبادل ما بينهم مش قلنا احنا لأن عشان لازم
+
+530
+00:46:46,030 --> 00:46:49,770
+تكمل ال circle تغلق الدائرة اللي موجودة وبالتالي 
+
+531
+00:46:49,770 --> 00:46:59,070
+ما تنساش آخر نقطة هتكون X3 في Y0 ناقص Y3 في X0 هذا
+
+532
+00:46:59,070 --> 00:47:05,380
+المجموع نصه بتكون احنا وحصل العالمين على المساحة
+
+533
+00:47:05,380 --> 00:47:10,060
+فهل نرجع نطبق هو كما الشكل الموجود عندنا هنا أو 
+
+534
+00:47:10,060 --> 00:47:10,960
+نطبقها على
+
+535
+00:47:32,500 --> 00:47:46,440
+مساحة المثلثة جدّاش الشباب صح؟
+
+536
+00:47:46,440 --> 00:47:53,180
+الآن
+
+537
+00:47:53,180 --> 00:47:58,220
+هيا احنا عندنا مثلث بوليغون ولا شو رأيكو؟ بوليغون
+
+538
+00:47:58,220 --> 00:48:01,460
+من ثلاث نقاط هيهم بدي أطبق عليهم القانون هذا
+
+539
+00:48:03,280 --> 00:48:07,340
+المفروض يديني نفس المساحة هذه الاحتياطية كانت
+
+540
+00:48:07,340 --> 00:48:18,340
+موجودة عندي نصف مضروب فيه صفر في صفر صفر
+
+541
+00:48:18,340 --> 00:48:28,880
+في صفر ناقص صفر في ثلاثة زائد ثلاثة 
+
+542
+00:48:28,880 --> 00:48:44,800
+في ثلاثة ناقص صفر زائد صفر في الصفر ناقص تسعة
+
+543
+00:48:44,800 --> 00:48:51,960
+ثلاثة في ثلاثة ناقص صفر في الصفر ثلاثة في 
+
+544
+00:48:51,960 --> 00:48:57,780
+ثلاثة تسعة الآن صفر في صفر ناقص صفر في ثلاثة أو
+
+545
+00:48:57,780 --> 00:49:05,830
+ثلاثة في صفر الآن سوينا تسعة على اثنين أربعة ونصف
+
+546
+00:49:05,830 --> 00:49:11,590
+وبالتالي أي بوليغون تطبق عليه القانون هتحصل على 
+
+547
+00:49:11,590 --> 00:49:22,090
+النتيجة البوليغون اللي رسمناه عندنا هيه هي
+
+548
+00:49:22,090 --> 00:49:28,430
+مجموعة النقاط وبده مساحته هي النقاط المعطوية عندك
+
+549
+00:49:28,430 --> 00:49:39,030
+هتكون ساوي نصف مضروبة واحد في واحد ناقص واحد في ثلاثة
+
+550
+00:49:39,030 --> 00:49:44,410
+واحد ناقص ثلاثة زائد النقطة اللي بعديها ثلاثة في
+
+551
+00:49:44,410 --> 00:49:51,550
+اثنين ستة ناقص ثلاثة في واحد ثلاثة زائد اللي بعدها
+
+552
+00:49:51,550 --> 00:49:59,470
+ثلاثة في ثلاثة ناقص اثنين تسعة ناقص اثنين زائد الآن 
+
+553
+00:49:59,470 --> 00:50:05,710
+واحد في واحد ناقص واحد في ثلاثة ناقص ثلاثة هذه
+
+554
+00:50:05,710 --> 00:50:09,330
+النقاط اللي موجودة مش صعب القانون إذا أنت فهمت 
+
+555
+00:50:09,330 --> 00:50:13,870
+ترابط السلسلة خد كل نقطة مع اللي وراها هتصل بكل 
+
+556
+00:50:13,870 --> 00:50:19,850
+بساطة الآن نصف
+
+557
+00:50:19,850 --> 00:50:32,210
+ناقص اثنين زائد ثلاثة زائد سبعة ناقص اثنين عشرة ناقص 
+
+558
+00:50:32,210 --> 00:50:43,890
+أربعة ستة ستة على اثنين ساوي ثلاثة كمان 
+
+559
+00:50:43,890 --> 00:50:49,570
+يا شباب؟ هي السؤال يا شباب السؤال اللي بيطرح نفسه
+
+560
+00:50:49,570 --> 00:50:54,850
+الآن لو أنا مشيت مع النقاط بشكل عكسي احنا الآن
+
+561
+00:50:54,850 --> 00:50:55,970
+افترضنا أن النقاط
+
+562
+00:50:58,520 --> 00:51:03,360
+النقاط صفر و واحد، واحد و اتنين، اتنين و تلاتة مظبوط
+
+563
+00:51:03,360 --> 00:51:08,080
+تلاتة و أربعة، أربعة و خمسة، خمسة و ستة لحد M في
+
+564
+00:51:08,080 --> 00:51:14,840
+الأخر جيبت M و صفر مظبوط، لو أنا مشيت بالعكس تطلع
+
+565
+00:51:14,840 --> 00:51:19,600
+القيمة سالبة، بس هل في area بالسالب؟ لا، هل في
+
+566
+00:51:19,600 --> 00:51:22,580
+area بالسالب؟ لا، لا، لا، لا، لا، لا، لا، لا، لا،
+
+567
+00:51:22,580 --> 00:51:22,700
+لا، لا، لا، لا، لا، لا، لا، لا، لا، لا، لا، لا،
+
+568
+00:51:22,700 --> 00:51:24,320
+لا، لا، لا، لا، لا، لا، لا، لا، لا، لا، لا، لا،
+
+569
+00:51:24,320 --> 00:51:27,220
+لا، لا، لا، لا، لا، لا، لا، لا، لا، لا، لا، لا،
+
+570
+00:51:27,220 --> 00:51:29,160
+لا، لا، لا، لا، لا، لا، لا، لا، لا، لا، لا، لا،
+
+571
+00:51:29,160 --> 00:51:34,560
+لا، لا، لا، لا، لا، 
+
+572
+00:51:34,560 --> 00:51:43,880
+لا،
+
+573
+00:51:46,400 --> 00:51:54,420
+هيك عكس counter
+
+574
+00:51:54,420 --> 00:52:00,040
+clockwise عكس
+
+575
+00:52:00,040 --> 00:52:04,920
+عقارب الساعة، لو مشيت مع عقارب الساعة بتحصل القيمة 
+
+576
+00:52:04,920 --> 00:52:13,400
+سالمة، ضد عقارب الساعة موجبة، مع عقارب الساعة سالمة
+
+577
+00:52:13,400 --> 00:52:15,580
+عكس عقارب الساعة
+
+578
+00:52:18,700 --> 00:52:21,760
+أه هلأ أنا أنا مشيت أنا مع عقارب الساعة و بقيت
+
+579
+00:52:21,760 --> 00:52:26,780
+سالفة هيا ضد عقارب الساعة، الحل هذا كانت ده اتنى
+
+580
+00:52:26,780 --> 00:52:31,880
+تلاتة، أنا مشيت بالعكس الآن مع عقارب الساعة نفس
+
+581
+00:52:31,880 --> 00:52:37,490
+اتجاه عقارب الساعة، طلعت معايا القيمة سالبة، لأ اللي
+
+582
+00:52:37,490 --> 00:52:40,910
+أنا بدي إياك تفهمه إن لو أنت وأنت بتحسب طول الوقت
+
+583
+00:52:40,910 --> 00:52:45,190
+معك القيمة سالبة، ما تخافش خلاص أنت شغلك غالبا صح
+
+584
+00:52:45,190 --> 00:52:48,630
+إذا بتعمل association صح بين النقاط لكن أنت بتكون
+
+585
+00:52:48,630 --> 00:52:53,010
+... يعني هيك لو أنا أجيت حطيت لك رسمة بدون ما أديك
+
+586
+00:52:53,010 --> 00:53:00,930
+نقاط، هي الرسمة هي الرسمة، وقلت لك حسب لي القيمة
+
+587
+00:53:00,930 --> 00:53:07,090
+تبعها، طبعا؟ روحت وانتهيت، بقولت هاي واحد، روحت منها
+
+588
+00:53:07,090 --> 00:53:15,150
+واحد في تلاتة لأقصى واحد في واحد حرام عليك زائد
+
+589
+00:53:15,150 --> 00:53:22,340
+القاعد بين هدول بتنتين واحد في .. في اتنين ناقص
+
+590
+00:53:22,340 --> 00:53:27,440
+تلاتة في تلاتة تسعة زائد هدول المقطعين تلاتة في
+
+591
+00:53:27,440 --> 00:53:33,360
+واحد ناقص ستة، الارتفاعية جاية بتمشي مع غارب الساعة
+
+592
+00:53:33,360 --> 00:53:40,620
+هتطلع سالبة، مع غارب الساعة كيف سالبة يا شباب طيب
+
+593
+00:53:48,050 --> 00:53:54,630
+الشكل هو نفسه، ما تغيرتش مساحته على أي polygon أكيد
+
+594
+00:53:54,630 --> 00:53:57,570
+هذا الكلام لأي polygon يا شباب ما فيش مشكلة عندك
+
+595
+00:53:57,570 --> 00:54:05,670
+فيه ما كانش
+
+596
+00:54:05,670 --> 00:54:09,010
+في الرابع الأول في الرابع الثاني المساحة موجبة يا
+
+597
+00:54:09,010 --> 00:54:11,650
+صاحبي باستمرار المساحة
+
+598
+00:54:15,510 --> 00:54:20,470
+الزميلة بقول كتالة يا شباب، لو كان المثلث دهان سالب
+
+599
+00:54:20,470 --> 00:54:27,310
+واحد و سالب واحد، سالب واحد و تلاتة، مو سالب واحد و
+
+600
+00:54:27,310 --> 00:54:32,210
+سالب و سالب واحد موجب واحد، بتروح الإشارات مع بعض
+
+601
+00:54:32,210 --> 00:54:42,350
+يا صاحبك غير يا شباب نعم كيف تعمل العملية؟ نفس .. نفس
+
+602
+00:54:42,350 --> 00:54:44,910
+المنطق .. نفس المنطق أنت الآن فرجت معاك ترتيب
+
+603
+00:54:44,910 --> 00:54:49,390
+النقاط، ترتيب النقاط هيو .. واحد و واحد، تلاتة و
+
+604
+00:54:49,390 --> 00:54:54,450
+واحد، تلاتة
+
+605
+00:54:54,450 --> 00:55:00,170
+و اتنين، واحد و تلاتة تمام؟ هذا الترتيب ضبط عقارب
+
+606
+00:55:00,170 --> 00:55:04,170
+الساعة هيو تطلع من هنا .. تطلع من هنا بديك إشارة
+
+607
+00:55:04,170 --> 00:55:08,350
+موجبة، لو الترتيب كان اللي عندك واحد و تلاتة هيك
+
+608
+00:55:08,350 --> 00:55:14,570
+تلاتة و اتنين، تلاتة و واحد و واحد و واحد، أنت بدأت
+
+609
+00:55:14,570 --> 00:55:21,510
+من وين هاي النقاط؟ واحد و تلاتة هايها مظبوط، وبعدين
+
+610
+00:55:21,510 --> 00:55:26,050
+تروح هيك لأن أنت بتلوف مع عقارب الساعة فهتديك
+
+611
+00:55:26,050 --> 00:55:30,350
+المساحة سالبة، المساحة بس إنك أنت الإشارة على دلالة
+
+612
+00:55:30,350 --> 00:55:38,610
+إنك مشيت مع أو ضد عقارب الساعة مش أكثر الله
+
+613
+00:55:38,610 --> 00:55:40,690
+يعطيك الله عفو يا شباب، مفاجئين إن شاء الله 
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/7XIcuACbBDo_postprocess.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/7XIcuACbBDo_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0da74022e1657a26d54373ec6b623f5d8c6b6af8
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/7XIcuACbBDo_postprocess.srt
@@ -0,0 +1,2452 @@
+1
+00:00:21,090 --> 00:00:23,310
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:23,310 --> 00:00:25,750
+اليوم ان شاء الله شباب هنبدأ ب chapter جديد اللي
+
+3
+00:00:25,750 --> 00:00:29,250
+هو الباب الرابع او الفاصل الرابع في المادة واللي
+
+4
+00:00:29,250 --> 00:00:34,010
+بتكلم على coordinate systems او نظام الاحداثيات
+
+5
+00:00:34,010 --> 00:00:39,960
+النظام الاحداث هنغطي المواضيع في ال chapter هذاالـ
+
+6
+00:00:39,960 --> 00:00:45,280
+Cartesian Coordinates أو المحور دي كارتية او الـ
+
+7
+00:00:45,280 --> 00:00:49,220
+Cartesi دي كارتيزي الـ Agile System المحور الرئيسي
+
+8
+00:00:49,220 --> 00:00:53,900
+في الـ System و المسافة بين أي نقطتين و هنتكلم على
+
+9
+00:00:53,900 --> 00:00:59,850
+المساحة لأي شكل في الـ 2Dهنتكلم عن الـ Polar
+
+10
+00:00:59,850 --> 00:01:02,970
+System كنظام للـ Cartesian System مقابل للـ
+
+11
+00:01:02,970 --> 00:01:05,370
+Cartesian System و هنتكلم عن الـ Spherical و
+
+12
+00:01:05,370 --> 00:01:09,170
+هنتكلم عن الـ Cylindrical Coordinates هذه عبارة عن
+
+13
+00:01:09,170 --> 00:01:12,790
+نظم إحداثيات غير الـ Cartesian اللي احنا قبل عرفه
+
+14
+00:01:13,940 --> 00:01:17,140
+طبعا من أهم التطبيقات اللي بتشوفها في حياتي
+
+15
+00:01:17,140 --> 00:01:20,460
+اليومية اللي هي ال google maps او ال maps على
+
+16
+00:01:20,460 --> 00:01:24,260
+الجوال بشكل عام هتستخدم او تستخدم نظام الإحداثيات
+
+17
+00:01:24,260 --> 00:01:27,920
+من أجل وصول للخرائط لو أنت كنت مثلا في غزة و بدك
+
+18
+00:01:27,920 --> 00:01:31,880
+تصل لمنطقة معينة في خنيونس او في رفح ممكن تستخدماش
+
+19
+00:01:31,880 --> 00:01:35,620
+ال google map طبعا بعتبن على نظام ال GPS ال global
+
+20
+00:01:35,620 --> 00:01:40,940
+positioning system بروح بدي إحداثية X و Y انت وين
+
+21
+00:01:40,940 --> 00:01:47,610
+موجودالـ Target تبعتك X1 وY1 وبنانة عليها برسوم
+
+22
+00:01:47,610 --> 00:01:52,270
+المسار اللى بيوصلك للمقاطين اللى موجودة عندك طبعا
+
+23
+00:01:52,270 --> 00:01:55,790
+كل هذا عبارة عن معلومات موجودة في الـ system بس
+
+24
+00:01:55,790 --> 00:02:00,270
+الفكرة في تمثيلها بشكل بياني أو رسومي على الشاشة
+
+25
+00:02:00,270 --> 00:02:07,850
+عندكمن أهم التطبيقات اللى بنستخدمها في ال graphics
+
+26
+00:02:07,850 --> 00:02:12,670
+مع ال coordinate systems اللى هي موضوع ان انا اخد
+
+27
+00:02:12,670 --> 00:02:18,890
+systematic او systematic draw او ارسم ضمن نظام
+
+28
+00:02:18,890 --> 00:02:23,950
+معين بنشوف الزخارف اللى زى هذه بظبط؟ بنشوفها
+
+29
+00:02:23,950 --> 00:02:28,290
+باستمرار الزخرف هى عبارة عن بعض الأشكال الهندسية
+
+30
+00:02:28,290 --> 00:02:36,370
+الحرة بظبط؟بس ايش بتتسمى الرسم ككلها؟ الانتظام طيب
+
+31
+00:02:36,370 --> 00:02:44,170
+اساس الانتظام انه لو انا تخيلت الرسم هاي اربع
+
+32
+00:02:44,170 --> 00:02:44,610
+اقسام
+
+33
+00:02:49,310 --> 00:02:54,290
+الانعكاس او الصورة انعكاس ال بارتها يعني عادة في
+
+34
+00:02:54,290 --> 00:02:57,290
+ال graphical عندما تستخدم الكمبيوتر في الرسم انت
+
+35
+00:02:57,290 --> 00:03:02,410
+مش ضروري مش ضروري تعتمد تعتمد 100% الرسمة كاملة
+
+36
+00:03:02,410 --> 00:03:06,130
+فبتركز على نص الرسمة على سبيل المثال كانوا يعلمون
+
+37
+00:03:06,130 --> 00:03:10,110
+زمان لما بدك ترسم فراشة او بدك ترسم مزهرية ارسم
+
+38
+00:03:10,110 --> 00:03:14,530
+نصها فقطتمام؟ والنص التاني اجلب الورقة على الوسط و
+
+39
+00:03:14,530 --> 00:03:19,150
+حاول ايش حد بتحبير هتحصل معاك فعليا رسمة منتظرة
+
+40
+00:03:19,150 --> 00:03:22,450
+وهنا نفس الكلام لإن النظام اللي عندنا هنا ال
+
+41
+00:03:22,450 --> 00:03:25,170
+Cartesian system هي الربع الرسم هي في الربع الأول
+
+42
+00:03:25,170 --> 00:03:29,770
+عشان تكتمل الرسمة بده اروح اعمل انعكاس همحه ال
+
+43
+00:03:29,770 --> 00:03:33,510
+Axel X Axis و لأ لما صار في انعكاس صار في انه نص
+
+44
+00:03:33,510 --> 00:03:38,150
+الرسم العلوي اعملت لرسم النص الكامل الآن العلوي
+
+45
+00:03:38,150 --> 00:03:44,870
+هذا عملت له انعكاسحول ال X Axis حصلت على الصورة
+
+46
+00:03:44,870 --> 00:03:50,590
+بشكل كامل وانت فعليا لو تخيلت فالرسمتين اللي
+
+47
+00:03:50,590 --> 00:03:52,970
+موجودات عندها اللي بعتمدوا على ال Cartesian System
+
+48
+00:03:52,970 --> 00:03:58,610
+فعليا في تماثل او في عكاس واضح للجزء اليمين او
+
+49
+00:03:58,610 --> 00:04:02,210
+اليسار او العلوي او السفلي للصورة اللي موجودة طبعا
+
+50
+00:04:02,210 --> 00:04:06,270
+حد فيكوا شاف دي على السوق قبل هيك خضرة ماريو
+
+51
+00:04:08,160 --> 00:04:11,260
+طيب تعالى في المقادم نشوف الرسمات اللى موجودة
+
+52
+00:04:11,260 --> 00:04:14,880
+عندنا هنا شو
+
+53
+00:04:14,880 --> 00:04:17,600
+اللى علاقة بال Cartesian system هاي؟ اللى علاقة
+
+54
+00:04:17,600 --> 00:04:21,060
+بال coordinate system تمام هذه الرسمات الشباب
+
+55
+00:04:21,060 --> 00:04:25,940
+نعتمد فيها احنا على ال X و ال Y و ال X و ال Y
+
+56
+00:04:25,940 --> 00:04:35,000
+المحاور الصين و الصد هدول المحورين رئيسيالكن في
+
+57
+00:04:35,000 --> 00:04:40,500
+محاور مقابلة او نظم مقابلة لـ Cartesian System
+
+58
+00:04:40,500 --> 00:04:43,800
+منها على سبيل المثال الـ Bowler System او النظام
+
+59
+00:04:43,800 --> 00:04:48,380
+الدائر الذي نشأنا نسميه الفكرة فيها انه بيعتمد على
+
+60
+00:04:48,380 --> 00:04:53,680
+زاوية و نصف قطربعتمد على زاوية و نصف قطر و بصير
+
+61
+00:04:53,680 --> 00:04:57,980
+النظام الرسمي اللى عندى نظام دوائر دائرى فانت
+
+62
+00:04:57,980 --> 00:05:02,080
+فعليا النظام اللى اترسمت عليه الذخرة فهي او الدب
+
+63
+00:05:02,080 --> 00:05:06,200
+هذا هو عبارة عن polar system او لو طلعت على الخطوط
+
+64
+00:05:06,200 --> 00:05:09,100
+اللى مش واضحة كتير عنها على السطورة هي عبارة عن
+
+65
+00:05:09,100 --> 00:05:13,060
+دائر coordinates بتكلم على نصف القطر و بتكلم على
+
+66
+00:05:13,060 --> 00:05:16,560
+الزاوية اللى انا رسمت فيها وبالتالي بقدر احصل على
+
+67
+00:05:16,560 --> 00:05:21,370
+نظامطبعا بالاضافة للرسم انا فعليا ال kartesian
+
+68
+00:05:21,370 --> 00:05:23,570
+system او عفوا ال coordinate system بشكل عام
+
+69
+00:05:23,570 --> 00:05:27,310
+يستخدم بشكل كويس بشكل محترم في الحياة اليومية و
+
+70
+00:05:27,310 --> 00:05:30,930
+منها زي ما قلنا في موضوع ال GPS و اصول الخرائط
+
+71
+00:05:30,930 --> 00:05:40,830
+هنبدأ مع ال kartesian plane plane مسطح تمام plane
+
+72
+00:05:40,830 --> 00:05:42,110
+مسطح
+
+73
+00:05:44,720 --> 00:05:48,820
+لما انا بتكلم الـ plane هذا with a rectangular ايش
+
+74
+00:05:48,820 --> 00:05:53,360
+rectangular شباب مستطيل
+
+75
+00:05:53,360 --> 00:05:58,900
+مستطيل rectangle rectangle مستطيل rectangular
+
+76
+00:05:58,900 --> 00:06:05,120
+معناته انا بتكلم على نظام بنو احداثيات على نظام
+
+77
+00:06:05,120 --> 00:06:09,640
+المستطيل ليش نظام المستطيل يا شباب ليش مجلش المربع
+
+78
+00:06:15,080 --> 00:06:21,760
+أيوة في المربع في اشارة واضحة ان كلهم بيعتمد ان كل
+
+79
+00:06:21,760 --> 00:06:25,120
+ال sites او كل الأطلاع متساوية ولما عادة بيقولك
+
+80
+00:06:25,120 --> 00:06:29,840
+اديني مساحة المربع بتقوله اطلاع تربيع وبتسكت بينما
+
+81
+00:06:29,840 --> 00:06:33,300
+لما باجي بقولك المستطيل اديني مساحة المستطيل
+
+82
+00:06:33,300 --> 00:06:38,550
+بتقوله الارتفاعفي الطول او في العرض تسميها زي ما
+
+83
+00:06:38,550 --> 00:06:43,290
+بدك تتكلم على two different sides دلالة على انه في
+
+84
+00:06:43,290 --> 00:06:48,330
+عند بالعين مختلفين وهنا بتأكدك على نفس المعلومة
+
+85
+00:06:48,330 --> 00:06:52,910
+انه انا فعليا باعتمد على قيمتين مختلفتين اللي هم
+
+86
+00:06:52,910 --> 00:06:57,410
+ال X وال Y ممكن يكون متساويات في لحظة انها لكن
+
+87
+00:06:57,410 --> 00:07:01,270
+الأساس ان القيمتين هدول انهم هيكونوا مختلفتين في
+
+88
+00:07:01,270 --> 00:07:06,660
+ال system اللي موجود عندهاوبالتالي النظام هذا ال
+
+89
+00:07:06,660 --> 00:07:10,980
+rectangular coordinate system بيعتمد على ارتباط
+
+90
+00:07:10,980 --> 00:07:17,520
+النقطة بقيمتين تمام؟ يعني الآن لما بتكلم على ال
+
+91
+00:07:17,520 --> 00:07:22,720
+coordinate system هاي ال plane بتكلم على نظام نقطة
+
+92
+00:07:22,720 --> 00:07:28,740
+هاي النقطة طب ماهي النقطة عملت المستقيل هذا؟
+
+93
+00:07:28,740 --> 00:07:32,060
+مصبوط؟
+
+94
+00:07:32,790 --> 00:07:37,370
+النقطة هذه إيها إحداثيات أو مرتبطة بزوج من الأرقام
+
+95
+00:07:37,370 --> 00:07:41,870
+اللي هم حسب قيمة اللي عندهان بدا بال X و بعدين
+
+96
+00:07:41,870 --> 00:07:48,990
+بتكلم على سالب اتنين و تلاتة سالب اتنين و تلاتة
+
+97
+00:07:48,990 --> 00:07:54,610
+الان مش قضية سالب ولا موجب في الآخر احنا بنتكلم
+
+98
+00:07:54,610 --> 00:07:58,490
+على الفيلم بنتكلم على نقطة حسب الاتجاه اللي موجود
+
+99
+00:07:58,490 --> 00:07:59,990
+عندهان الرسم
+
+100
+00:08:04,580 --> 00:08:07,160
+في أي مشكلة في التعامل مع الـ Cartesian يا شباب؟
+
+101
+00:08:07,160 --> 00:08:10,340
+يعني لما أنا بجيبلك المحاور أساس الرسم عندي
+
+102
+00:08:10,340 --> 00:08:16,140
+المحاور تمام؟ و التجسيمة ضروري جدا إذا انت بقى
+
+103
+00:08:16,140 --> 00:08:21,580
+تتجسم المحاور تتجسمها ب unit متساوية تتجسم ال unit
+
+104
+00:08:21,580 --> 00:08:24,840
+متساوية و إذا بتتذكر دفتر الرسم البياني اللي كنا
+
+105
+00:08:24,840 --> 00:08:28,660
+نشوفه زمان المربعات الصغيرة هاي كانت كلها إيش
+
+106
+00:08:28,660 --> 00:08:31,540
+uniform أو لها نفس الحجم تمام؟
+
+107
+00:08:40,130 --> 00:08:43,710
+بالإضافة للرسمة اللي موجودة عندنا هنا إيش أنا
+
+108
+00:08:43,710 --> 00:08:48,610
+بستفيد من ال kartesian ب system تمام تحديد موقع
+
+109
+00:08:48,610 --> 00:08:55,390
+النقطة ممتاز إحداثيات
+
+110
+00:08:55,390 --> 00:09:02,430
+الشكل غيره شباب
+
+111
+00:09:04,980 --> 00:09:09,280
+الان بقدر اقولك انا في عندي اسمة او في عندي اربع
+
+112
+00:09:09,280 --> 00:09:19,100
+نقاط موجودات صفر و صفر صفر و تلاتة تلاتة و صفر
+
+113
+00:09:19,100 --> 00:09:26,140
+اديتك تلات نقاط انا الان مصبوط ايوة صفر و صفر صفر
+
+114
+00:09:26,140 --> 00:09:33,960
+و تلاتة تلاتة و صفر الان جد ما بدك تتخيل هدولأكتر
+
+115
+00:09:33,960 --> 00:09:37,740
+شغلة ممكن تصلها انت لو انا رسمت خطوط ما بين النقاط
+
+116
+00:09:37,740 --> 00:09:43,520
+الثلاثة هذه بحصل على مثلث طب بس المثلث هدور رأسه
+
+117
+00:09:43,520 --> 00:09:47,880
+بأي اتجاه قائم الزاوية ولا غير قائم الزاوية؟ بدك
+
+118
+00:09:47,880 --> 00:09:51,900
+تدخل في مجموعة من الحسبات عشان تقدرلي فعليا هل هو
+
+119
+00:09:51,900 --> 00:09:55,660
+أيش مثلث قائم الزاوية او لا بينما لو انا اجيت
+
+120
+00:09:55,660 --> 00:10:01,700
+رسمتلك هاي صفر و صفر المقطة التانية صفر و تلاتة
+
+121
+00:10:03,760 --> 00:10:11,200
+تلاتة و صفر وبالتالي
+
+122
+00:10:11,200 --> 00:10:17,200
+صارت داني أو بوفر ليها بشكل visualبشكل مائي ورجالي
+
+123
+00:10:17,200 --> 00:10:21,280
+النقاط مع بعضها او علاقتها مع بعضها حتى لو .. شوف
+
+124
+00:10:21,280 --> 00:10:25,360
+لو انا فعليا محطت ال cash الخط او المستطيل او عارف
+
+125
+00:10:25,360 --> 00:10:28,800
+ان الخطوط ما بين النقاط وقلتلك هي النقاط لحالهم
+
+126
+00:10:28,800 --> 00:10:33,800
+مباشرة هتقدر تتخيل المثلف اكتر من ان انا اتزودتك
+
+127
+00:10:33,800 --> 00:10:38,080
+ماشي بالنقاط الموجودة وبالتالي بالاضافة لل
+
+128
+00:10:38,080 --> 00:10:41,100
+association و تحديد مواقع النقاط صار بالدين ايه؟
+
+129
+00:10:41,870 --> 00:10:46,870
+بتديني آلية من أجل تمثيل مرئي للنقاب و علاقتها مع
+
+130
+00:10:46,870 --> 00:10:52,310
+بعضها من أهم التطبيقات يا شباب تخيل أن النقطة هذه
+
+131
+00:10:52,310 --> 00:10:57,730
+عبارة عن غزة والنقطة هذه رفح
+
+132
+00:11:04,060 --> 00:11:09,400
+عشان تصل، عشان تصل، لازم تتبع مسار موجود، ايش
+
+133
+00:11:09,400 --> 00:11:13,320
+المسار الموجود؟ يعني مانفعش اشتغل ايش، اشتغل قطر،
+
+134
+00:11:13,320 --> 00:11:17,140
+مانفعش، بدك تمشي على النقاط اللي موجودة، وهذا اللي
+
+135
+00:11:17,140 --> 00:11:20,380
+فعليا اللي بيصير في النظام ال maps اللي موجودة، هي
+
+136
+00:11:20,380 --> 00:11:23,880
+عبارة عن مجموعة من النقاط خلصت الطريق من هنا بتطلع
+
+137
+00:11:27,300 --> 00:11:29,620
+هي هذا واحد من الـ possible routes اللي ممكن موجود
+
+138
+00:11:29,620 --> 00:11:32,820
+عندك واحد من المسارات المحتملة اللي ممكن تتبعها
+
+139
+00:11:32,820 --> 00:11:39,440
+ممكن تكون فيه تاني تمام؟ بقى بيجيك تدخل البرنامج
+
+140
+00:11:39,440 --> 00:11:42,860
+يحددك أقصر الطرق الاخرى بس في الآخر أنا بقدر أشوف
+
+141
+00:11:42,860 --> 00:11:46,660
+العلاقة بين النقطين و أجدر المسافة اللي موجودة
+
+142
+00:11:46,660 --> 00:11:51,580
+بينهم في حسبة معينة تمام؟ الآن أي نقطة في ال
+
+143
+00:11:51,580 --> 00:11:55,040
+kartesian system أو على ال kartesian plane بتتم
+
+144
+00:11:55,040 --> 00:12:02,060
+تمثيلهاOrdered Bear Ordered Bear ايش يعني Ordered
+
+145
+00:12:02,060 --> 00:12:05,540
+Bear؟ ايش يعني زوج مرتب يا محمد البعز؟ ايش يعني
+
+146
+00:12:05,540 --> 00:12:10,820
+زوج مرتب؟ ايش
+
+147
+00:12:10,820 --> 00:12:15,520
+يعني X و Y؟ ليش جال عنهم زوج مرتب؟ لأنه بينفعش
+
+148
+00:12:15,520 --> 00:12:23,530
+ابدل قيمة ال X في مكان ال Y بينفعش هذه لا تساوي Yو
+
+149
+00:12:23,530 --> 00:12:29,050
+X إلا لو كانت X يساوي Y مثل عنده نقطة صفر و صفر،
+
+150
+00:12:29,050 --> 00:12:34,290
+صفر و واحد، هذي بيصير لكن الوردع العام لاتساوي
+
+151
+00:12:34,290 --> 00:12:37,590
+راحظ
+
+152
+00:12:37,590 --> 00:12:43,830
+دائما ببدأ بال C بال X axis ببدأ المحور ال X axis
+
+153
+00:12:43,830 --> 00:12:46,390
+من قدر التعريف النقطة اللي موجودة عنده
+
+154
+00:12:49,870 --> 00:12:54,450
+وبنسمي X وY نسميهم ال coordinates الإحداثيات
+
+155
+00:12:54,450 --> 00:13:05,630
+الخاصة بالنقطة بي اللي موجودة عنها الأشكال
+
+156
+00:13:05,630 --> 00:13:11,870
+الهندسية أشكال الهندسية بشكل عام أو حتى المعادلات
+
+157
+00:13:11,870 --> 00:13:19,740
+الرياضية ال cares دائما بنرسمها عشان إيشنحاول
+
+158
+00:13:19,740 --> 00:13:23,860
+الصنبط الدالة بشكل أسر اكثر واذا بتتذكر لما
+
+159
+00:13:23,860 --> 00:13:30,120
+اتكلمنا على تان فيتا اتكلمنا على ال domain صح؟ ايش
+
+160
+00:13:30,120 --> 00:13:34,860
+قلنا ال domain يا شباب؟
+
+161
+00:13:34,860 --> 00:13:41,760
+او
+
+162
+00:13:41,760 --> 00:13:47,160
+من صفر لمية و تمانين مين بعيده يا شباب من صفر لمية
+
+163
+00:13:47,160 --> 00:13:47,760
+و تمانين؟
+
+164
+00:13:52,700 --> 00:13:59,600
+من بيأي دوه؟ أنا بقول غلط عارف ليش؟ لأن الـcos 90
+
+165
+00:13:59,600 --> 00:14:05,260
+هي المشكلة cos 90 هي المشكلة ما تنساش التاني عبارة
+
+166
+00:14:05,260 --> 00:14:08,600
+عن sin على cos cos 90 صفر يعني هصير في قسم على صفر
+
+167
+00:14:08,600 --> 00:14:13,540
+عام تصير الدالة غير معرفة لكن احنا بساطة بالدالة
+
+168
+00:14:13,540 --> 00:14:16,760
+المرة الماضية على الآخر لما جينا رسمنا قلت لك هاي
+
+169
+00:14:16,760 --> 00:14:20,200
+هاي الصفر موجودة هيك
+
+170
+00:14:25,010 --> 00:14:29,870
+وكانت ال 10 مرسومة معانا بالشكل هذا وبالتالي صارت
+
+171
+00:14:29,870 --> 00:14:34,630
+الرسمة الرياضية لما شوفت صورة الدالة قدرت أسوب
+
+172
+00:14:34,630 --> 00:14:39,510
+فعليا ال domain بشكل أسرع وبالتالي ال Cartesian
+
+173
+00:14:39,510 --> 00:14:44,830
+system ممكن يسهل علي فهم الدوائل الهندسية وهذا
+
+174
+00:14:44,830 --> 00:14:52,210
+الكلام فعليا لأن ال pairs اللي موجودة عندها X وYطب
+
+175
+00:14:52,210 --> 00:14:56,350
+ما هي هذه بجاني احنا نقول f of x اللي هي بالمقصين
+
+176
+00:14:56,350 --> 00:15:04,110
+ال y تساوي تمام المعادلة اللي عندي ال x من ال
+
+177
+00:15:04,110 --> 00:15:09,290
+domain و ال y ال range و كلها عبارة عن association
+
+178
+00:15:09,290 --> 00:15:14,390
+ارتباط ال alpha دالة في ال x تربيع ال x تربيع تمام
+
+179
+00:15:14,390 --> 00:15:23,130
+سلب اتنين اربعة اتنينأربعة مظبوط صرت أتكلم على
+
+180
+00:15:23,130 --> 00:15:27,130
+سالب اتنين تقوين اربعة و اتنين تقوين اربعة هل في
+
+181
+00:15:27,130 --> 00:15:32,070
+غيرهم مش هذا هو عبارة عن ارتباط association حسب
+
+182
+00:15:32,070 --> 00:15:36,650
+الدالة حسب تعريف الدالة وبالتالي الدوال ممكن تكتب
+
+183
+00:15:36,650 --> 00:15:42,610
+على صوت أزواجمرتبة على صورة أزواج مرتبة وبالتالي
+
+184
+00:15:42,610 --> 00:15:46,210
+صار في عندي الآن انا بقدر اجيب مجموعة النقاط
+
+185
+00:15:46,210 --> 00:15:50,950
+مجموعة نقاط ال function واعتبرهم عبارة عن list of
+
+186
+00:15:50,950 --> 00:15:54,910
+coordinates مجموعة من النقاط للدالة ومن ثم بقدر
+
+187
+00:15:54,910 --> 00:15:59,130
+احصل على الشكل تبع المعادلة الرياضية او ال
+
+188
+00:15:59,130 --> 00:16:03,550
+geometric shape اللي موجود عندي تمام يا شباب
+
+189
+00:16:10,180 --> 00:16:14,980
+أحنا شوفنا ال graphical functions سابقاً أظبط؟ هاي
+
+190
+00:16:14,980 --> 00:16:19,960
+في عندي معادلة خطية Linear Quadratic Cubic
+
+191
+00:16:19,960 --> 00:16:24,160
+Trigonometric ليش؟ لأن في عندي ال sign و ال cosine
+
+192
+00:16:24,160 --> 00:16:36,960
+طبعا؟ طب هذه الدوال فعليا ال line اللي سمناها وهذه
+
+193
+00:16:36,960 --> 00:16:37,800
+سمناها
+
+194
+00:16:41,230 --> 00:16:45,610
+variable بس الفراغ اللي أنا بكتبهان فيه مصطلحين
+
+195
+00:16:45,610 --> 00:16:50,010
+مهمات فيه independent و فيه independent و أنا
+
+196
+00:16:50,010 --> 00:16:54,730
+دائما بعتمد على ال dependent variable اللي هو ال X
+
+197
+00:16:54,730 --> 00:16:59,390
+من
+
+198
+00:16:59,390 --> 00:17:00,670
+أجل تحديد ال independent
+
+199
+00:17:03,560 --> 00:17:10,640
+مظبوط؟ بعتمد على المتغير المستقل عشان اجيب قيمة
+
+200
+00:17:10,640 --> 00:17:19,500
+المتغير التابع والزوج المرتب بيبقى دائما ..
+
+201
+00:17:19,500 --> 00:17:24,500
+يا عيني عليكم صح النوم مين جاعد بتكلم؟ واحد لصاحي
+
+202
+00:17:24,500 --> 00:17:29,400
+انا جاعد بتكلم بقول دبا مستقل و بقول تابع و روحت
+
+203
+00:17:29,400 --> 00:17:30,620
+في الكلمات ايه سويت؟
+
+204
+00:17:34,040 --> 00:17:37,380
+الـ Y هي الـ Dependent وهذه عبارة عن Independent
+
+205
+00:17:37,380 --> 00:17:44,580
+طيب ماشي الحال .. الآن كمان مرة X هي المتغير
+
+206
+00:17:44,580 --> 00:17:49,600
+المستقل Independent لا تعتمدش على حدا Independent
+
+207
+00:17:49,600 --> 00:17:56,820
+لأن شباب النفي تبعت ال dependency طيب anyway
+
+208
+00:18:00,690 --> 00:18:04,890
+وبالتالي انا دائما ببدأ بال independent variable X
+
+209
+00:18:04,890 --> 00:18:11,730
+من أجل وصول ال dependent variable Y لان
+
+210
+00:18:11,730 --> 00:18:17,050
+في ايش المعادلات الرياضية هذه اذا انا فهمت ان كل
+
+211
+00:18:17,050 --> 00:18:21,450
+معادلة رياضية بقدر اشكلها بزوج مرتبة على ال
+
+212
+00:18:21,450 --> 00:18:24,550
+coordinate system او على الكارتيزين ال plane هل
+
+213
+00:18:24,550 --> 00:18:28,580
+هذه المعادلات ممكن تخدمني؟ اه ممكن تخدمنيالآن هذه
+
+214
+00:18:28,580 --> 00:18:34,320
+المعادلات ممكن تستخدم في الـ Computer Animation في
+
+215
+00:18:34,320 --> 00:18:38,080
+رسومات الحسوب أو تمام أو الحركة بالحسوب من أجل
+
+216
+00:18:38,080 --> 00:18:48,760
+التحكم في الحركة أنا بتدعم الحركة لونابية هل في
+
+217
+00:18:48,760 --> 00:18:53,130
+مجلة logic function تحكمها؟حرام عليك يا راجل فيه
+
+218
+00:18:53,130 --> 00:18:58,210
+حد بيقدر يذكر ان فيها .. ايوة ايوة ما هي الحركة
+
+219
+00:18:58,210 --> 00:19:03,130
+الاولابية اللي بتعملها الرصاصة الخارجة الان هذه
+
+220
+00:19:03,130 --> 00:19:06,210
+الحركة الاولابية في حد بتذكر وين زهرت معاها الحركة
+
+221
+00:19:06,210 --> 00:19:06,470
+هذه
+
+222
+00:19:10,400 --> 00:19:12,780
+في الـ imaginary number في الـ I لما اتكلمني على
+
+223
+00:19:12,780 --> 00:19:16,520
+ال complex number و كل واحدة من تطبيقاتها اللي
+
+224
+00:19:16,520 --> 00:19:18,880
+بتستخدم في تصميم الدواري الإلكترونية و من ثم
+
+225
+00:19:18,880 --> 00:19:24,240
+الحركة اللولابية اللي موجودة عندنا تمام؟ و بالتالي
+
+226
+00:19:24,240 --> 00:19:29,000
+صار في عندنا انا فعليًا X و Y طيب حركة هل درجة كل
+
+227
+00:19:29,000 --> 00:19:33,060
+حركة حركة لولابية لأ؟ طب انا في عندي كمان لما
+
+228
+00:19:33,060 --> 00:19:38,460
+رمينا نقطة الحجر في بركة الميه تمام؟ هذه موجة
+
+229
+00:19:41,080 --> 00:19:47,960
+وبالتالي استخدام الـ sine و الـ cosine طيب ال
+
+230
+00:19:47,960 --> 00:19:56,740
+light الأضواء تلان في عندك شمس فوق و
+
+231
+00:19:56,740 --> 00:20:03,580
+في عندك شجرة هنا كيف بدرسم شجرة anyway و في عندك
+
+232
+00:20:03,580 --> 00:20:08,420
+شجرة هنا و بدك ترسم .. بدك ظل طب عشان تجيب الظل
+
+233
+00:20:08,420 --> 00:20:15,440
+ايش بالذنبك؟بلزمك اتحدد النقطة اللي هان والنقطة
+
+234
+00:20:15,440 --> 00:20:19,380
+اللي هان عشان تقدر تجيب ايش خط مستقيم يلتقى مع
+
+235
+00:20:19,380 --> 00:20:23,700
+نقطة هان بصيه بقدر ارسم الظلم مايزيدش عن حجم
+
+236
+00:20:23,700 --> 00:20:26,680
+المثلث اللي موجود عندي هان ولا لأ يعني ممكن الظلم
+
+237
+00:20:26,680 --> 00:20:30,520
+تبعه هيكون هان ال shadow تبع الشجرة high يكون
+
+238
+00:20:30,520 --> 00:20:36,980
+فعلياً هيك اكبر من المثلث مستحيل دائما هو ايش اللي
+
+239
+00:20:36,980 --> 00:20:42,030
+بيحدد الظلم شبابالضوء .. الضوء .. المنطقة اللي
+
+240
+00:20:42,030 --> 00:20:47,470
+بيصلها ضو الشمس .. فرام عليك .. المنطقة اللي
+
+241
+00:20:47,470 --> 00:20:52,570
+بيصلها ضو الشمس مش فيها ضلة ..
+
+242
+00:20:52,570 --> 00:20:58,230
+يعني الآن اللي تحت الخط .. اللي تحت الخط مش فيها
+
+243
+00:20:58,230 --> 00:21:01,750
+ضو شمس .. مظبوط؟ وبالتالي ايش؟ منطقة مضلة لهذه ..
+
+244
+00:21:01,750 --> 00:21:06,180
+و اللي فوق الخطليش أقفنا عند النقطة هاي؟ لأن هنا
+
+245
+00:21:06,180 --> 00:21:10,000
+فعلياً آخر نقطة صار فيلتر أعلى الشمس مع الأرض
+
+246
+00:21:10,000 --> 00:21:13,560
+وبالتالي ما دون هيك إذا مافيش share تاني المنطقة
+
+247
+00:21:13,560 --> 00:21:17,380
+هذه مش مسة طب كيف بدي أجيب هذا الكلام؟ باعتمادك
+
+248
+00:21:17,380 --> 00:21:22,340
+على ال coordinate system من أجل الرسم الصحيح تمام
+
+249
+00:21:22,340 --> 00:21:25,440
+بعد
+
+250
+00:21:25,440 --> 00:21:28,640
+ذلك ممكن انا أستخدم او استخدام ال virtual camera
+
+251
+00:21:28,640 --> 00:21:36,410
+زوة التصويرالان تذكر انا قلنا لك لما انا بجرب بعمل
+
+252
+00:21:36,410 --> 00:21:41,810
+zoom او بابعد ايش بزيد فيه عندي؟ بالتفاصيل اكتر او
+
+253
+00:21:41,810 --> 00:21:45,990
+بين جسيم زاوية الرؤية او اتساع الرؤية ايش بتزيد
+
+254
+00:21:45,990 --> 00:21:53,590
+انا فعلا زاوية ثابتة بس العمود المقابل هي مثلث على
+
+255
+00:21:53,590 --> 00:21:54,530
+فرض ان انا واجب هنا
+
+256
+00:22:01,330 --> 00:22:05,010
+Angle of depression و Angle of elevation و ارتفاع
+
+257
+00:22:05,010 --> 00:22:12,110
+هذا المفروض نسوي هذا لما انا بجدّم بجف هان بصير
+
+258
+00:22:12,110 --> 00:22:17,330
+اشوف اجل لأن نفس الزاوية هان هي نفس الزاوية هان و
+
+259
+00:22:17,330 --> 00:22:21,450
+لأ و بالتالي انا سرت كارث عبارة عن النقاط كل ما
+
+260
+00:22:21,450 --> 00:22:26,730
+بجدّم او برجع بتختلف النقاط اللي عندي و بالتالي
+
+261
+00:22:26,730 --> 00:22:32,130
+بتختلف زاوية الرؤيةو هذه بتمثلها تلزمنا نتكلم على
+
+262
+00:22:32,130 --> 00:22:34,870
+ال virtual camera وتحريك ال virtual camera
+
+263
+00:22:34,870 --> 00:22:39,630
+وبالتالي بدل ما أتكلم أنا على relation بين X و Y
+
+264
+00:22:39,630 --> 00:22:45,130
+أروح أكتب المعادلة X بيتساوي Y بيتساوي MX زائد C
+
+265
+00:22:45,130 --> 00:22:49,550
+بقدرش أروح أسوي فيها الشباب أروح أرسمها أرسم
+
+266
+00:22:49,550 --> 00:22:54,650
+الدالة اللي موجودة عندي هنا وبالتالي
+
+267
+00:22:56,040 --> 00:22:59,140
+بتصير الدالة هذه أو الخط الرسمى تبع الدالة هي اللى
+
+268
+00:22:59,140 --> 00:23:04,220
+ممكن انا امشي عليها ال movement مش بس هيكت كمان لو
+
+269
+00:23:04,220 --> 00:23:07,580
+انا جيت و قلتلك كالتالي هي على ال cartesian system
+
+270
+00:23:07,580 --> 00:23:13,660
+انا فيه عند النقطة هذه اللى هي واحد و اتنين او
+
+271
+00:23:13,660 --> 00:23:17,160
+واحد واحد و اتنين okay واحد و واحد مش قضية كتير
+
+272
+00:23:17,160 --> 00:23:23,100
+وهذه النقطة بدي اعمل لها انعكاسبدي أعملها انعكاس
+
+273
+00:23:23,100 --> 00:23:33,320
+حول الـ Y-axis انعكاس حول الـ Y-axis معناته بدي
+
+274
+00:23:33,320 --> 00:23:35,660
+هتصير .. ليش .. مافيش عدد تخيّل .. سالة تخيّلية
+
+275
+00:23:35,660 --> 00:23:42,670
+الآن انعكاس هتصير هناتراقب هذه هتكون سالب واحد و
+
+276
+00:23:42,670 --> 00:23:46,770
+واحد ليش هذا الكلام صار؟ لأن فعليا في عندي معادلة
+
+277
+00:23:46,770 --> 00:23:51,310
+خاصة بالانعكاس انعكاس حول محور يعني بتثبت القيمة
+
+278
+00:23:51,310 --> 00:23:55,950
+تبع المحور هذا المطلوب اشجار بقولك انعكاس حول ال Y
+
+279
+00:23:55,950 --> 00:24:02,540
+Axisثبّت قيمة الـ Y وغيرت إشارة من الـ X اللي هو
+
+280
+00:24:02,540 --> 00:24:05,860
+المحور التاني اللي موجود عندها وحنشوف هذا الإعكاس
+
+281
+00:24:05,860 --> 00:24:09,200
+و الـ rotation في المحورين على ال XY و XYZ إيش
+
+282
+00:24:09,200 --> 00:24:16,840
+بتقول؟ الصين هيه ال Y هو المحور الصادر مش اللي مش
+
+283
+00:24:16,840 --> 00:24:21,620
+في الصين طيب وبالتالي أنا صرت ممكن أعتمد على
+
+284
+00:24:21,620 --> 00:24:26,370
+المعادلات هذه لأن في حد يستطيع أقوله انا X أوفي
+
+285
+00:24:26,370 --> 00:24:34,450
+الانعكاس ال Y بدها تساوي Y وال X بدها تساوي minus
+
+286
+00:24:34,450 --> 00:24:37,990
+X هذا المعادلة اللي صارت اللي موجودة عندي هان
+
+287
+00:24:37,990 --> 00:24:42,710
+وبهيك اصبحت انا بقدر او بأمن انعكاس حول ال Y اكس
+
+288
+00:24:42,710 --> 00:24:52,990
+هاتلي اي نقطة لو كانت النقطة هان واحد او نص و سالب
+
+289
+00:24:52,990 --> 00:24:53,490
+خمسة
+
+290
+00:24:56,360 --> 00:25:04,380
+أعتبرها أنها نص و سالب خمسة العكاسها سالب
+
+291
+00:25:04,380 --> 00:25:09,160
+نص و سالب خمسة لأنه حسب المعادلة الـY لربّها ثابتة
+
+292
+00:25:09,160 --> 00:25:15,340
+هى اللي قبلها تكون طب هاذي إيه شوفها هذه سالب نص و
+
+293
+00:25:15,340 --> 00:25:20,030
+سالب خمسة للـY قيمة الـY بتتغيروبالتالي صار في
+
+294
+00:25:20,030 --> 00:25:25,230
+عندي معادلات .. معادلات رياضية إلها حركة أو إلها
+
+295
+00:25:25,230 --> 00:25:28,270
+شغل أساسي في موضوع الـ Graphic هى لإن أنا عملت
+
+296
+00:25:28,270 --> 00:25:31,970
+انعكاس طب لو أنا فيه جيبت عندي مكعب و المكعب هذا
+
+297
+00:25:31,970 --> 00:25:34,050
+بده يعمل روتيشن .. بده يتشكلب .. بده يرمي على
+
+298
+00:25:34,050 --> 00:25:38,290
+الأرض زى ما بنرمي حجر النارد مثلا أو جيبت كورة ..
+
+299
+00:25:38,290 --> 00:25:42,650
+جيبت كورة و بده يحرجها على الأرضمش منطق و لا انت
+
+300
+00:25:42,650 --> 00:25:48,650
+هتستغفل المشاهد و تروح تجيبله صورة تمام و تقول هذه
+
+301
+00:25:48,650 --> 00:25:52,030
+الصورة ليش قاعدة في الدحرج لأ مفهوش بدك فعليا تعمل
+
+302
+00:25:52,030 --> 00:25:56,230
+real object ده تعمل كرة حقيقية sphere تمام و
+
+303
+00:25:56,230 --> 00:26:00,590
+تكسيها بطبقة معينة ماتيرة معينة اللي هي الجلد مثلا
+
+304
+00:26:00,590 --> 00:26:04,710
+تخيل كرة سلة اللي هي ماتيرة كرة السلة و لما تعمل
+
+305
+00:26:04,710 --> 00:26:10,780
+.. لما بدك تشكل الدحرجة بدك تتكلم على rotationما
+
+306
+00:26:10,780 --> 00:26:17,160
+هو rotation؟ هو عبارة عن الدوران rotation وبالتالي
+
+307
+00:26:17,160 --> 00:26:21,880
+صارت المعادلات الرياضية هذه جزء أساسي أو جزء أصيل
+
+308
+00:26:21,880 --> 00:26:27,700
+من الحركة اللي موجودة عنها طيب وبالتالي صار في
+
+309
+00:26:27,700 --> 00:26:31,800
+عندي أنا بدل بأتكلم عن العلاقة بين x و y ال graphs
+
+310
+00:26:31,800 --> 00:26:36,580
+أو الرسومات بتشكل ال relation بين ال activities زي
+
+311
+00:26:36,580 --> 00:26:40,990
+الحركة و ال rotation و ال sizeو ال lightness
+
+312
+00:26:40,990 --> 00:26:46,210
+الإضاءة واللون في مقابل الزمن يعني بقى أنا بدي
+
+313
+00:26:46,210 --> 00:26:49,330
+أتكلم أنه أنا بدي أصيب أبني المعادلات الزمن
+
+314
+00:26:49,330 --> 00:26:55,830
+المعادلات تبعتي تبعا للزمن ال movement بعد الحركة
+
+315
+00:26:55,830 --> 00:26:59,890
+أو المقضوف هذا اللي أنا رميتهبعد نص ثانية و جدّيه
+
+316
+00:26:59,890 --> 00:27:03,070
+هو اللي بيكون تمام؟ جدّيه هو اللي بدو يكون متواصل
+
+317
+00:27:03,070 --> 00:27:06,730
+هذه الصورة بتتكلم على حركة مع زمن بتتكلم rotation
+
+318
+00:27:06,730 --> 00:27:10,230
+بتعمل دوران سرعة الدوران جدّيه مش بيتكون في
+
+319
+00:27:10,230 --> 00:27:13,830
+الثانية فهذه كلها عبارة عن معادلات لازم تتحقق من
+
+320
+00:27:13,830 --> 00:27:17,510
+ناحية راضية و من ثم مراسمها بتتم على ال Cartesian
+
+321
+00:27:17,510 --> 00:27:24,970
+plane اللي هي XOY اه
+
+322
+00:27:24,970 --> 00:27:26,190
+ده مش شغال
+
+323
+00:27:34,480 --> 00:27:41,640
+مثال الرسم اللي على اللوحة بتمثل العلاق بقعدين ال
+
+324
+00:27:41,640 --> 00:27:46,400
+brightness شدة الإضاءة أو الإضاءة تمام مع ال frame
+
+325
+00:27:46,400 --> 00:27:49,100
+number و لما اتكلم عن ال frame مش هبقى عادة
+
+326
+00:27:49,100 --> 00:27:52,960
+بالفيديو اللي بيجي بتكلم الفيديو هذا يمثل frame
+
+327
+00:27:52,960 --> 00:28:00,060
+per second باجي بقول25 frame per second ايش يعني
+
+328
+00:28:00,060 --> 00:28:05,300
+الفيديو هو عبارة عن مجموعة من الصور الثابتة اللي
+
+329
+00:28:05,300 --> 00:28:12,040
+بتم عرضها بشكل متسلسل بتم عرضها بشكل متسلسل الان
+
+330
+00:28:12,040 --> 00:28:18,280
+الصور هذه يا محمد اذا عرضت بسرعة يعني حطيت بقول
+
+331
+00:28:18,280 --> 00:28:22,080
+مثلا 50 frame في الثانية بتحس الإحداث كيف ناشية
+
+332
+00:28:22,080 --> 00:28:28,510
+طيارة وإذا قللت ال framesهيحسها بماشي البطولة
+
+333
+00:28:28,510 --> 00:28:32,910
+المثال اللي انت بتقوله دليل واضح على انه فعليا اي
+
+334
+00:28:32,910 --> 00:28:36,290
+movie هي عبارة عن طب نتكلم عن ال animation هي
+
+335
+00:28:36,290 --> 00:28:40,730
+عبارة عن مجموعة من الصور الآن لو انت جربت تمسك
+
+336
+00:28:40,730 --> 00:28:46,040
+دفترك تمامأو مثلًا على عشر صفحات متتاليات بدأت
+
+337
+00:28:46,040 --> 00:28:49,580
+ترسم النجمة فقط في جرمة الصفحة والصفحة اللي بعدها
+
+338
+00:28:49,580 --> 00:28:53,080
+أعملت إزاحة بسيطة للنجمة واستخدمت نفس مقدار
+
+339
+00:28:53,080 --> 00:28:56,980
+الإزاحة هذه على كل الصفحات المتتالية ومسكت الدفتر
+
+340
+00:28:56,980 --> 00:29:01,440
+وعملت كراتهم هيكد ورا بعض بتحس إن النجمة فعليًا
+
+341
+00:29:01,440 --> 00:29:05,540
+قاعدة عيش وهذا هو اللي بيصيح في الكمبيوتر أنا خلال
+
+342
+00:29:05,540 --> 00:29:09,780
+الفقر الزمني هذا تلاحظ انت لما .. كأنا بقول لما
+
+343
+00:29:09,780 --> 00:29:15,910
+فتلت الورق عن بعض بشكل سريعكام ثانية أخدت؟ بين كل
+
+344
+00:29:15,910 --> 00:29:20,510
+ورقة والثانية، أجزاء من الثانية فعليًا، والآن، لو
+
+345
+00:29:20,510 --> 00:29:24,090
+كان حجم الورقة اللي بينها عرض سريع، هتحس أنه فيه
+
+346
+00:29:24,090 --> 00:29:27,810
+قفزات، ليش؟ لسه، يعني مش هتقدر تطبق الحركة، مش
+
+347
+00:29:27,810 --> 00:29:30,690
+هتقدر تطبق الحركة، ولو كانت، يعني كل ثانية تتعرض
+
+348
+00:29:30,690 --> 00:29:37,180
+لصورة،بتحسها بطيئة بشكل مميت تقريبا 25 frame per
+
+349
+00:29:37,180 --> 00:29:41,180
+second average average للشغلات اللي موجودة عندها
+
+350
+00:29:41,180 --> 00:29:46,980
+anyway الاهدرال ريليشن بتقوللي ان شدة الإضاءة ال
+
+351
+00:29:46,980 --> 00:29:52,220
+brightness تمام بتتغير مع مرور الزمن بتتغير مع
+
+352
+00:29:52,220 --> 00:29:56,620
+مرور الزمن ليش شدة
+
+353
+00:29:56,620 --> 00:29:58,740
+الإضاءة ال brightness او الضوء
+
+354
+00:30:01,490 --> 00:30:05,670
+في تيار مثلا متردد انا بفترض ان والله هنا الشمس
+
+355
+00:30:05,670 --> 00:30:12,250
+تمام؟ فيه الشمس اللي هي حركة وفي نفس الوجهة في في
+
+356
+00:30:12,250 --> 00:30:16,230
+الموقف اللي عندي في مجموعة من ال clouds بدها تمر
+
+357
+00:30:16,230 --> 00:30:22,230
+هتلتقي الشمس و ال clouds في المنطقة هذه فشدة
+
+358
+00:30:22,230 --> 00:30:27,550
+الإضاءة كيف هتصير؟ هتجلح، هتعتن وبعد هيك لما ال
+
+359
+00:30:27,550 --> 00:30:32,340
+clouds ثرائبتها وماشي أكثر من صورة الشمسهتروح و
+
+360
+00:30:32,340 --> 00:30:37,140
+هترجعاش او هتطلع الشمس لأضاءتها او لغروتها وتفسر
+
+361
+00:30:37,140 --> 00:30:40,520
+الدول الموجودة هذه كلها عبارة عن functions انت
+
+362
+00:30:40,520 --> 00:30:45,020
+بتستخدمها في شقي فعلي عشان تطبط و غالبا هتلاقي
+
+363
+00:30:45,020 --> 00:30:48,980
+البرنامج جاهز بيقولك هي ال curve تبع الإضاءة شكله
+
+364
+00:30:48,980 --> 00:30:52,280
+مثلا انت ممكن بال mouse تبدأ ترفع او تنزل في ال
+
+365
+00:30:52,280 --> 00:30:54,780
+curve اللي موجود عندك و مباشرة تشوف ال effect
+
+366
+00:30:54,780 --> 00:30:57,380
+تبعته على ال shape اللي موجود
+
+367
+00:31:02,310 --> 00:31:06,310
+يعني في أنا فعليا في عندر في بعض وثيق ما بين الـ
+
+368
+00:31:06,310 --> 00:31:10,610
+Cartesian plane و ال geometric functions أو ال
+
+369
+00:31:10,610 --> 00:31:13,230
+graphical functions أو ال mathematical functions
+
+370
+00:31:13,230 --> 00:31:20,850
+بشكل عام جيومتريك شباب متركيش
+
+371
+00:31:20,850 --> 00:31:25,290
+تراجينومتري
+
+372
+00:31:25,290 --> 00:31:30,920
+قولي عبارة عن اختصار بقياشحساب المثلثات Tree او
+
+373
+00:31:30,920 --> 00:31:38,340
+Tri ثلاثي Gono اقتصار على المثلثات
+
+374
+00:31:38,340 --> 00:31:42,300
+اللي .. اللهم صلي علي سيد محمد Polygon Polygon
+
+375
+00:31:42,300 --> 00:31:47,760
+تمام و Metric متري او قياس Geometric
+
+376
+00:31:49,510 --> 00:31:53,250
+شكلتين جيو يعني انا بتكلم على جزء من الجغرافيا او
+
+377
+00:31:53,250 --> 00:31:58,030
+رسم وبتكلم على متر شغلاش مطبوطة بقياس يعني الشغلة
+
+378
+00:31:58,030 --> 00:32:01,370
+مش عشوائية شغلة مش عشوائية يعني انا بتكلم على
+
+379
+00:32:01,370 --> 00:32:04,930
+جيومتريك الاية كل graphics بالكمبيوتر في
+
+380
+00:32:04,930 --> 00:32:09,810
+الجيومتريك اما بتكون 2D او 3D وهذا بنقول عنها 2D
+
+381
+00:32:09,810 --> 00:32:16,890
+shapes اشكال او 3D objects مجسمات
+
+382
+00:32:25,910 --> 00:32:43,950
+هذا shape object
+
+383
+00:32:43,950 --> 00:32:52,150
+2D 2D يعني فقط أنا بتتكلم في بعدين اللي هما 2D XY
+
+384
+00:32:53,770 --> 00:32:59,870
+بتكلم في ال object بتكلم في تلت اتجاهات ال
+
+385
+00:32:59,870 --> 00:33:12,450
+3D object X و Y و Z فضل اللي بتنحنح طيب
+
+386
+00:33:12,450 --> 00:33:17,910
+ال polygons ال circuits ال curves كلها عبارة عن
+
+387
+00:33:17,910 --> 00:33:23,190
+shapes طيب هدول بنعرفهم طب و هدول
+
+388
+00:33:28,120 --> 00:33:34,420
+شو رأيكوا؟ الرسم
+
+389
+00:33:34,420 --> 00:33:41,840
+الأخير مكسرات مش غلط برضه او chips الله يعنيكم يا
+
+390
+00:33:41,840 --> 00:33:45,160
+شباب هي واضحة عبارة عن مجموعة من ال polygons تم
+
+391
+00:33:45,160 --> 00:33:50,380
+تجميح مع بعض باعتماد على المثلث فقط تمام؟ و موضعت
+
+392
+00:33:50,380 --> 00:33:58,990
+بشكل منظم طب هاي؟ فيها دوران فيها rotationهي عبارة
+
+393
+00:33:58,990 --> 00:34:02,770
+عن مجموعة من ال lines لان انا بتكلم عن arbitrary
+
+394
+00:34:02,770 --> 00:34:07,190
+curves لكن ال curve هذا انا ضبطه يعني انت تخيل
+
+395
+00:34:07,190 --> 00:34:11,610
+تخيل لو انا اجيت كالتاني ال curve ده لا يبقى ولا
+
+396
+00:34:11,610 --> 00:34:15,710
+يا شباب عفوا
+
+397
+00:34:15,710 --> 00:34:19,690
+ايوة
+
+398
+00:34:19,690 --> 00:34:25,790
+اكتر بيه طيب لو انا اجيت و بدأت اعمل shifting لل
+
+399
+00:34:25,790 --> 00:34:26,290
+curve هذا
+
+400
+00:34:31,000 --> 00:34:35,740
+عمل إزاحة تمام؟ و ممكن أنا أغير على المعادلة كمان
+
+401
+00:34:35,740 --> 00:34:40,460
+عشان أدّيش كل واحد يبدأ يتشابك مع التاني بعد فترة
+
+402
+00:34:40,460 --> 00:34:44,520
+من الزمن لأن الأشكال اللي عندي منتظمة هحصل على شكل
+
+403
+00:34:44,520 --> 00:34:49,340
+و بالمناسبة لو روح انت تدورت على الأشكال هذه و
+
+404
+00:34:49,340 --> 00:34:52,620
+سؤالت إيش المعادلات الرياضية تبعتها هتلاقي
+
+405
+00:34:52,620 --> 00:34:55,900
+المعادلات موجودة لهيك أشكال طيب
+
+406
+00:34:59,430 --> 00:35:04,090
+الـ fractals اللي هي عبارة عن التأثيرات أو اللي
+
+407
+00:35:04,090 --> 00:35:08,230
+احنا بنسميها أحيانا الجلد يا شباب أو الملمس تبعت
+
+408
+00:35:08,230 --> 00:35:15,190
+الصورة اللي موجودة عندها بينما لما أنا بتكلم على
+
+409
+00:35:15,190 --> 00:35:19,270
+object لما أصيب أتكلم على object في الـ3D بتكلم
+
+410
+00:35:19,270 --> 00:35:23,590
+على مجموعة من الأوجه ولا لأ؟ يعني الأن جاب شوية
+
+411
+00:35:23,590 --> 00:35:26,990
+لما رصبنا المكعب كم وجه المكعب يا شباب؟ 6
+
+412
+00:35:45,530 --> 00:35:50,550
+أي وجه اللي بده يبين حسب الاتجاه اللي أنا بعمل فيه
+
+413
+00:35:50,550 --> 00:35:54,890
+rotation إذا أنا مسكت المكعب من الجنبينوعملت
+
+414
+00:35:54,890 --> 00:35:58,370
+rotation للأمام معناته أنا بس عندي فرصة أني أشوف
+
+415
+00:35:58,370 --> 00:36:03,190
+أربع أوجه، مظبوط؟ طيب، لو مسكته من فوق و تحت و
+
+416
+00:36:03,190 --> 00:36:06,430
+خلته لف حوالي .. للي بتيجي عقارب الساعة أو ضد
+
+417
+00:36:06,430 --> 00:36:10,170
+عقارب الساعة، بشوف كمان أربع أوجه، وإذا مسكته من
+
+418
+00:36:10,170 --> 00:36:17,030
+زاويتين، صار بإمكاني أشوف .. أشوف الستة، أنا مسكته
+
+419
+00:36:17,030 --> 00:36:20,710
+من الزاويتين هيك و بدي ألفه، حسب الضبط، أنا مليون
+
+420
+00:36:20,710 --> 00:36:24,920
+بانظرله، بشوف تلاتةوبالتالي بتصير حسب ال rotation
+
+421
+00:36:24,920 --> 00:36:29,720
+انت هايه تخيله هايه هايه امسكته من الزاوية هيك
+
+422
+00:36:29,720 --> 00:36:33,420
+وبدي اعمل rotate على فرض ان هذا هو المكعب ايش انت
+
+423
+00:36:33,420 --> 00:36:39,020
+جاعة بتشوف من زاويتك بتشوف واحد اتنينالثلاثة
+
+424
+00:36:39,020 --> 00:36:43,420
+بتشوفش التلاتة التانية هذه behind طيب انت تخيل ان
+
+425
+00:36:43,420 --> 00:36:48,440
+في عندك object بدك تعمل rotation وفي كاميرا قاعدة
+
+426
+00:36:48,440 --> 00:36:52,200
+تتحرك في مقابل عملية ال rotation معناته انت بدك
+
+427
+00:36:52,200 --> 00:36:57,040
+تطبط وتعرف من الوجه اللي بده يبين تمام؟ وهذا
+
+428
+00:36:57,040 --> 00:37:00,920
+هنشوفه ان شاء الله لاحقا لما انا بتكلم على ال
+
+429
+00:37:00,920 --> 00:37:07,130
+objects بتكلم على الملمسجدّاش نعم أو خشل أو جدّاش
+
+430
+00:37:07,130 --> 00:37:10,490
+ممكن يكون fluffy أو ممكن يكون فرق أو مشابه اللي هي
+
+431
+00:37:10,490 --> 00:37:14,850
+اي ملمس او إضافي بدي أضيفه على الشكل اللي موجود
+
+432
+00:37:14,850 --> 00:37:18,570
+عندي هنا وبالتالي بصير و بتكلم على مجموعة من
+
+433
+00:37:18,570 --> 00:37:21,830
+العناصر اللي موجودة خلّيني ابدأ مع ال polygonal
+
+434
+00:37:21,830 --> 00:37:25,850
+shapes ال
+
+435
+00:37:25,850 --> 00:37:32,850
+polygon بتشكل من ال chain of vertices سلسلة من
+
+436
+00:37:33,760 --> 00:37:37,700
+النقاط سلسلة من النقاط زي ما جابت شوية قلتلك انا
+
+437
+00:37:37,700 --> 00:37:44,620
+صفر و صفر صفر و تلاتة تلاتة و صفر لما ذكرتلك
+
+438
+00:37:44,620 --> 00:37:48,540
+السلسلة هذه هي عبارة عن بي واحد و بي اتنين و بي
+
+439
+00:37:48,540 --> 00:37:54,380
+تلت عادة لما اشار السير هذا polygon الشكل النقاط
+
+440
+00:37:54,380 --> 00:37:58,140
+هذه انا بافترض انك انت هتوصل بي واحد مع بي اتنين
+
+441
+00:37:58,140 --> 00:38:03,910
+بي اتنين مع بي تلاتةو B3 مع B1 عشان يصير في عندي
+
+442
+00:38:03,910 --> 00:38:11,530
+أنا polygon بنفهش اروح اوصل انا B1 مع B2 هيها هي
+
+443
+00:38:11,530 --> 00:38:19,450
+B1 B2 و هي B3 و اسقط لازم تكمل الشكل ففي ال
+
+444
+00:38:19,450 --> 00:38:22,350
+polygon انا جاي بتكلم على chain of vertices مجموعة
+
+445
+00:38:22,350 --> 00:38:29,330
+من النقاطلازم تكون ايش مسكرة وفي عندى خط مستقيم
+
+446
+00:38:29,330 --> 00:38:37,110
+بربط بين كل نقطين متتاليتين بربط كل نقطين
+
+447
+00:38:37,110 --> 00:38:40,890
+متتاليتين اللي هم بيسميهم neighboring points
+
+448
+00:38:40,890 --> 00:38:42,270
+النقاط المتجاورات
+
+449
+00:38:45,340 --> 00:38:51,520
+مع اتنين و اتنين مع تلاتة و بيكتسكر السلسلة واحد
+
+450
+00:38:51,520 --> 00:38:56,300
+مع تلاتة يعني النقطة الأولى مع النقطة الأخيرة و
+
+451
+00:38:56,300 --> 00:38:59,880
+طبعا كل نقطة زى ما شوفنا X و Y X و Y و بالتالي
+
+452
+00:38:59,880 --> 00:39:04,740
+بحصل على الشكل اللى موجود عندي هاي مثلا ايش بنسم
+
+453
+00:39:04,740 --> 00:39:11,060
+الشكل هذا شباب شبه منحرف شبه منحرف
+
+454
+00:39:18,670 --> 00:39:23,990
+طيب الآن في النقاط اللي موجودة عندي هان سواء هذه
+
+455
+00:39:23,990 --> 00:39:30,190
+او النقاط هذه تخيل لو انا اجيت قولتلك بدي اطرح
+
+456
+00:39:30,190 --> 00:39:35,010
+تمام من كل نقطة نقدار اتنين two units
+
+457
+00:39:45,640 --> 00:39:51,230
+الرسمة الجديدة هي عبارة عن ايش؟مثلث بس ال position
+
+458
+00:39:51,230 --> 00:39:55,490
+تبعه يعني هو كإني بنجو سينقلش صوت المثلث عملت
+
+459
+00:39:55,490 --> 00:39:59,750
+إزاحة للمثلث، مصبوط؟ طيب تخيل لو قلتلك أنا بدي
+
+460
+00:39:59,750 --> 00:40:03,570
+أضرب النقاط هذه في اتنين، بديش أطرح منها اتنين،
+
+461
+00:40:03,570 --> 00:40:06,810
+بدي أضربها في اتنين، بعمل scaling، إذا ضربتها في
+
+462
+00:40:06,810 --> 00:40:11,990
+اتنين، بعمل تكبير، مصبوط؟ و لو ضربت في نصبعمل
+
+463
+00:40:11,990 --> 00:40:16,470
+تصغير، معناته الآن عملية الجمع أو الطرح تعمل إزاحة
+
+464
+00:40:16,470 --> 00:40:19,990
+وعملية الضرب تعمل scaling تكبير أو تصغير Scale
+
+465
+00:40:19,990 --> 00:40:24,930
+وبالتالي أنا فعليا تعاني مع الأشكال هيكون عبارة عن
+
+466
+00:40:24,930 --> 00:40:28,970
+عملية رياضية بكل بساطة، أما بتدبر في القيمة اللي
+
+467
+00:40:28,970 --> 00:40:32,530
+أنا بديها، بس الشيطانة شباب كمان مرة لما أنا بدي
+
+468
+00:40:32,530 --> 00:40:36,030
+أعمل Scale أو بدي أعمل إزاحةبدي تكون الحسبة تبعته
+
+469
+00:40:36,030 --> 00:40:41,390
+مضمونة ومنطقية فمش معقول انا جالب اقولك بدي ترسملي
+
+470
+00:40:41,390 --> 00:40:44,770
+او نعمل animation لسلحفات تتحرك على الطاولة هذه
+
+471
+00:40:44,770 --> 00:40:50,530
+خلال ثاني هذي السلحفات واصلى الباب مش منطق ولا شو
+
+472
+00:40:50,530 --> 00:40:56,950
+رايكوا؟ ممكن اذا انت نمت هنا على الطاولة ترميها
+
+473
+00:40:56,950 --> 00:41:01,290
+رمي كم
+
+474
+00:41:01,290 --> 00:41:06,160
+واحد؟خمسمية ممتاز يعني انت فعليا بتتحرك اللي هي
+
+475
+00:41:06,160 --> 00:41:11,480
+بسرعة رصاصة بس علاش جاعدين الشباب احنا جاعدين
+
+476
+00:41:11,480 --> 00:41:16,040
+نتكلم انت بدك تشتغل شغلها منطقيا الان اذا أقل
+
+477
+00:41:16,040 --> 00:41:18,440
+والله هي أخدت وجهتها وهي تمشي مانعته انت زي
+
+478
+00:41:18,440 --> 00:41:21,360
+الأرناب نمت على الطاولة تمشي ويجي وصحيت اللي بعد
+
+479
+00:41:21,360 --> 00:41:29,950
+ما جربت لازم تكون رياليستي كلها حط أرنابوحط القوقع
+
+480
+00:41:29,950 --> 00:41:35,590
+على دهره عشان نقوله لانه شاسمه قرب المتسلحف
+
+481
+00:41:35,590 --> 00:41:38,630
+لأن
+
+482
+00:41:38,630 --> 00:41:46,510
+اي شكل اي شكل اللي بيلزمنا تمام اي polygon بقدر
+
+483
+00:41:46,510 --> 00:41:52,830
+احسب مساحته احنا الآن لو كان هي عند المربع هذا
+
+484
+00:41:55,670 --> 00:41:59,890
+أو المستطيل سامي زي ما بدك احسب مساحته لان قانونك
+
+485
+00:41:59,890 --> 00:42:04,450
+جاهز طول الضلع في نفسه لو كان مربع لو كان مستطيل
+
+486
+00:42:04,450 --> 00:42:07,610
+طول في العرض لو كان مثلث نصف القاعدة في الارتفاع
+
+487
+00:42:07,610 --> 00:42:13,330
+لو كان لو كان تمام؟ طيب شبه المنحرف تبع قبل شوية
+
+488
+00:42:13,330 --> 00:42:19,930
+هذا مجموعة قاعدتين بتشغل عليها عبارة عن ايش؟ مثلث
+
+489
+00:42:19,930 --> 00:42:20,390
+مستطيل
+
+490
+00:42:23,690 --> 00:42:30,790
+مثلث ومستطيل فعلياً هيه صح؟ اه وبالتالي انا بقدر
+
+491
+00:42:30,790 --> 00:42:36,430
+اتكلم انه هي الارتفاع هذا يساوي هذا وصار في عندي
+
+492
+00:42:36,430 --> 00:42:40,310
+هذا بقدر ان اجيب الارتفاع مصبوط و بقدر احسب المثلث
+
+493
+00:42:40,310 --> 00:42:44,090
+مساحة المثلث ومساحة المستطيل واجيبه لكن في عندنا
+
+494
+00:42:44,090 --> 00:42:48,770
+شغلة عشان ماتوهش في المتاهة طيب لو كان الشكل سداسي
+
+495
+00:42:57,900 --> 00:43:04,840
+شو نساوي؟ كان مثلث ايه؟
+
+496
+00:43:04,840 --> 00:43:10,560
+ايش بيساوي؟ هيك؟ كل دلوقت معاك؟ كل دلوقت معاك؟ هاي
+
+497
+00:43:10,560 --> 00:43:18,560
+خلاص هتلك مثلثات غلط غلط هذا مش مثلث هذا مش مثلث
+
+498
+00:43:26,560 --> 00:43:33,020
+لأ بديش تمحيه طيب يعني في الآخر بدك تسقط عمودين و
+
+499
+00:43:33,020 --> 00:43:38,320
+تبدأيش تعمل هاي مستقيل و تعمل أربع مفلفات او
+
+500
+00:43:38,320 --> 00:43:43,240
+مستقيل و مفلفين مش قضية إشكالة بس في الآخر فعليا
+
+501
+00:43:43,240 --> 00:43:48,920
+بدك تحطه قدامك و تجيب مصر رجلام و تبدأيش جطب بدون
+
+502
+00:43:48,920 --> 00:43:53,660
+ما تجطب احنا فيه قانون سهل هلا بقولك إيش هو
+
+503
+00:43:53,660 --> 00:43:54,140
+القانون
+
+504
+00:43:58,080 --> 00:44:05,280
+النقاط المتسلسلة هيهم النقطة الأولى بي واحد بي
+
+505
+00:44:05,280 --> 00:44:14,400
+اتنين بي تلاتة بي أربعة او ان شئت بي صفر بي واحد
+
+506
+00:44:14,400 --> 00:44:20,060
+بي اتنين بتفرق كتير معاك؟ لأ المساحة الـ polygon
+
+507
+00:44:20,060 --> 00:44:28,350
+هي عبارة عن نص واحنا قلنا التسلسل المهم في النقاطX
+
+508
+00:44:28,350 --> 00:44:38,990
+الخاصة بي و Y0 مضروبة في X0Y0
+
+509
+00:44:38,990 --> 00:44:47,490
+X1Y1 X2Y2 X3Y3
+
+510
+00:44:47,490 --> 00:44:51,030
+والمقلوب الآن عشان أحسب البوليغون هذا وسحة
+
+511
+00:44:51,030 --> 00:44:55,250
+البوليغون بدي أعمل ضرب تبادل بين كل نقطين
+
+512
+00:44:55,250 --> 00:45:11,050
+متتاليتيننص المساحة تساوي نص في X0 في Y1 ناقص Y0
+
+513
+00:45:11,050 --> 00:45:26,460
+في X1 زائد خلصنا من هذه الآن X1 في Y2 ناقص Y1في X2
+
+514
+00:45:26,460 --> 00:45:32,740
+زائد صعبة؟ صعبة؟ بتضلك ناشي فيها، ولو كانت السلسلة
+
+515
+00:45:32,740 --> 00:45:39,540
+هادى، عفواً، ست نقاط، حتى لو كانت مليونطيب بتخلص
+
+516
+00:45:39,540 --> 00:45:42,860
+بكرا و ليش احنا بنتعلم computer يا حبيبي؟ و ليش
+
+517
+00:45:42,860 --> 00:45:47,220
+بنتعلم درمجة؟ عشان بدنا نقعد نحسب لحالة؟ لأ عشان
+
+518
+00:45:47,220 --> 00:45:50,300
+تيجي تستخدم ال python على سبيل المثال و تقول انا
+
+519
+00:45:50,300 --> 00:45:55,200
+بدعالها لحالة عامة عملية هذه هي باخد نقطين بمررهم
+
+520
+00:45:55,200 --> 00:45:58,940
+لل function و بقول جيبليهم فبتصير أجل من ثانية
+
+521
+00:45:58,940 --> 00:46:04,220
+بتكون عندك ال value موجودةهك علمنا هك تخصصنا تبع
+
+522
+00:46:04,220 --> 00:46:08,460
+الكمبيوتر انت فعلا تنظر للمعادل عن انه ايش بخلص
+
+523
+00:46:08,460 --> 00:46:11,600
+مكرا ولا بعده لما بدأ .. لو بدأش نبقى نهار فعلا اه
+
+524
+00:46:11,600 --> 00:46:18,820
+مصمم بكلامك و قمصر كمان كمان ان شاء الله بتخلص اذا
+
+525
+00:46:18,820 --> 00:46:24,240
+بتعرفش تستخدم الكليكوليفر مش هتخلص okay تخلص روحها
+
+526
+00:46:24,240 --> 00:46:27,420
+هاش
+
+527
+00:46:27,420 --> 00:46:35,550
+يا كامل تخلص روحه الآن أخر نقطة يا شبابهذه هذه
+
+528
+00:46:35,550 --> 00:46:42,730
+ايش بدك تساوي بدك تفترض ان وراها مباشرة X0 وY0
+
+529
+00:46:42,730 --> 00:46:46,030
+تعمل ضرب تبادل ما بينهم مش قلنا احنا لان عشان لازم
+
+530
+00:46:46,030 --> 00:46:49,770
+تكمل ال circle تغلق الدائرة اللي موجودة وبالتالي
+
+531
+00:46:49,770 --> 00:46:59,070
+ماتنساش اخر نقطة هتكون X3 في Y0 ماقص Y3 في X0 هذا
+
+532
+00:46:59,070 --> 00:47:05,380
+المجموع نصهبتكون احنا وحصل العالمين على المساحة
+
+533
+00:47:05,380 --> 00:47:10,060
+فهل نرجع نطبق هو كما الشكل الموجود عندنا هنا او
+
+534
+00:47:10,060 --> 00:47:10,960
+نطبقها على
+
+535
+00:47:32,500 --> 00:47:46,440
+مساحة المثلثة جديش الشباب صح؟
+
+536
+00:47:46,440 --> 00:47:53,180
+الآن
+
+537
+00:47:53,180 --> 00:47:58,220
+هيا احنا عندنا مثلث بوليغون و لا شو رايكو؟ بوليغون
+
+538
+00:47:58,220 --> 00:48:01,460
+من تلات نقاط هايهم بدي اطبق عليهم القانون هذا
+
+539
+00:48:03,280 --> 00:48:07,340
+المفروض يديني نفس المساحة هذه الاحتياطية كانت
+
+540
+00:48:07,340 --> 00:48:18,340
+موجودة عندي نص مضروب فيه صفر في صفر صفر
+
+541
+00:48:18,340 --> 00:48:28,880
+في صفر ناقص صفر في تلاتة زائد تلاتة
+
+542
+00:48:28,880 --> 00:48:44,800
+في تلاتة ناقص صفرزائد صفر في الصفر ناقص تش
+
+543
+00:48:44,800 --> 00:48:51,960
+تسعة تلاتة في تلاتة ناقص صفر في الصفر تلاتة في
+
+544
+00:48:51,960 --> 00:48:57,780
+تلاتة تسعة الان صفر في صفر ناقص صفر في تلاتة او
+
+545
+00:48:57,780 --> 00:49:05,830
+تلاتة في صفر الان ساويتسعة على اتنين اربعة و نص
+
+546
+00:49:05,830 --> 00:49:11,590
+وبالتالي اي بوليغون تطبق عليه القانون هتحصل على
+
+547
+00:49:11,590 --> 00:49:22,090
+النتيجة البوليغون اللي رسمناه عندنا هيه هى
+
+548
+00:49:22,090 --> 00:49:28,430
+مجموعة النقاط و بده مساحته هى النقاط المعطوية عندك
+
+549
+00:49:28,430 --> 00:49:39,030
+هتكون ساوينص مضروبة واحد في واحد نقص واحد في تلاتة
+
+550
+00:49:39,030 --> 00:49:44,410
+واحد نقص تلاتة زائد النقطة اللي بعديها تلاتة في
+
+551
+00:49:44,410 --> 00:49:51,550
+اتنين ستة ناقص تلاتة في واحد تلاتة زائد اللي بعدها
+
+552
+00:49:51,550 --> 00:49:59,470
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+واحد في واحد ناقص واحد في تلاتة ناقص تلاتة هذه
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+النقاط اللي موجودة مش صعب القانون اذا انت فهمت
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+ترابط السلسة خد كل نقطة مع اللي وراها هتصل بكل
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+بساطة الان نص
+
+557
+00:50:19,850 --> 00:50:32,210
+ناقص اتنين زائد تلاتة زائد سبعةنقص اتنين عشرة نقص
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+اربعة ستة ستة على اتنين سوى تلاتة كمان
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+00:50:43,890 --> 00:50:49,570
+يا شباب؟ هي السؤال يا شباب السؤال اللي بيطرح نفسه
+
+560
+00:50:49,570 --> 00:50:54,850
+الآن لو انا مشيت مع النقاط بشكل عكسي احنا الآن
+
+561
+00:50:54,850 --> 00:50:55,970
+افترضنا ان النقاط
+
+562
+00:50:58,520 --> 00:51:03,360
+النقاط صفر و واحد واحد و اتنين اتنين و تلاتة مظبوط
+
+563
+00:51:03,360 --> 00:51:08,080
+تلاتة و اربعة اربعة و خمسة خمسة و ستة لحد M في
+
+564
+00:51:08,080 --> 00:51:14,840
+الاخر جيبت M و صفر مظبوط لو انا مشيت بالعكسهتطلع
+
+565
+00:51:14,840 --> 00:51:19,600
+القيمة سالبة، بس هل في area بالسالب؟ لأ، هل في
+
+566
+00:51:19,600 --> 00:51:22,580
+area بالسالب؟ لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ،
+
+567
+00:51:22,580 --> 00:51:22,700
+لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ،
+
+568
+00:51:22,700 --> 00:51:24,320
+لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ،
+
+569
+00:51:24,320 --> 00:51:27,220
+لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ،
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+571
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+لأ، لأ، لأ، لأ، لأ،
+
+572
+00:51:34,560 --> 00:51:43,880
+لأ،
+
+573
+00:51:46,400 --> 00:51:54,420
+هك عكس عكس counter
+
+574
+00:51:54,420 --> 00:52:00,040
+clockwise عكس
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+575
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+576
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+سالمة ضد عقارب الساعة موجبة مع عقارب الساعة سالمة
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+عكس عقارب الساعة
+
+578
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+أه هلأ انا انا مشيت انا مع عقاري بالساعة و بقيت
+
+579
+00:52:21,760 --> 00:52:26,780
+سالفة هيا ضد عقاري بالساعة الحل هذا كانت ده اتنى
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+
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+
+583
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+584
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+585
+00:52:48,630 --> 00:52:53,010
+.. يعني هيك لو انا اجيت حطتلك رسمة بدون ما اديك
+
+586
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+نقاط هي الرسمة هي الرسمة وقلتلك حسبني القيمة
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+587
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+588
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+589
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+القاعد بين هدولة بتنتينواحد فى .. فى اتنين ناقص
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+591
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+واحد ناقص ستة الارتفالية جاية بتمشي مع غارب الساعة
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+هتطلع سالبة مع غارب الساعة كيف سالبة شباب طيب
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+593
+00:53:48,050 --> 00:53:54,630
+الشكل هو نفسه ماتغيرتش مساحته على أي بوليجون أكيد
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+594
+00:53:54,630 --> 00:53:57,570
+هذا الكلام لأي بوليجون يا شباب مافيش مشكلة عندك
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+595
+00:53:57,570 --> 00:54:05,670
+فيه ماكانش
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+596
+00:54:05,670 --> 00:54:09,010
+في الرابع الأول في الرابع التاني المساحة موجب يا
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+597
+00:54:09,010 --> 00:54:11,650
+صاحبي باستمرار المساحة
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+598
+00:54:15,510 --> 00:54:20,470
+الزميلة بقول كتالة شباب لو كان المثلثة دهان سالب
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+599
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+600
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+سالب و سالب واحد موجب واحد محتروح الإشارات مع بعض
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+00:54:32,210 --> 00:54:42,350
+يا صاحبك غير شباب نعم كيف تعمل العملية؟نفس .. نفس
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+602
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+المنطق .. نفس المنطق انت الآن الفرجت معاك ترتيب
+
+603
+00:54:44,910 --> 00:54:49,390
+النقاط ترتيب النقاط هيو .. واحد و واحد تلاتة و
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+604
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+واحد تلاتة
+
+605
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+و اتنين واحد و تلاتة تمام؟ هذا الترتيب ضبط عقارب
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+606
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+الساعة هيو تطلع من هنا .. تطلع من هنا بديك إشارة
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+607
+00:55:04,170 --> 00:55:08,350
+موجبة لو الترتيب كان اللي عندك واحد و تلاتة هيك
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+608
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+تروح هيك لأن انت بتلوف مع اقارب الساعة فهتديك
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+611
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+المساحة سالبة المساحة بس انك انت الإشارة على دلالة
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+612
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+انك مشيت مع او ضد اقارب الساعة مش اكتر الله
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+613
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+يعطيك الله عفو يا شباب مفاجئين ان شاء الله
+
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/7XIcuACbBDo_raw.json b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/7XIcuACbBDo_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..81530d4e00200c99e6fc0422abbf519c55cf6091
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/7XIcuACbBDo_raw.json
@@ -0,0 +1 @@
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في عندي اربع نقاط موجودات صفر و صفر صفر و تلاتة تلاتة و صفر اديتك تلات نقاط انا الان مصبوط ايوة صفر و صفر صفر و تلاتة تلاتة و صفر الان جد ما بدك تتخيل هدول", "tokens": [6027, 7649, 4724, 28543, 2288, 1975, 39648, 4117, 1975, 8315, 8978, 18871, 16254, 24525, 46007, 1975, 2407, 8978, 18871, 16254, 1975, 25513, 3615, 8717, 4587, 41193, 3714, 29245, 23328, 9307, 20328, 5172, 2288, 4032, 20328, 5172, 2288, 20328, 5172, 2288, 4032, 6055, 1211, 9307, 3660, 6055, 1211, 9307, 3660, 4032, 20328, 5172, 2288, 1975, 16254, 2655, 4117, 6055, 1211, 9307, 8717, 4587, 41193, 1975, 8315, 2423, 7649, 3714, 9381, 3555, 2407, 9566, 1975, 1829, 2407, 3660, 20328, 5172, 2288, 4032, 20328, 5172, 2288, 20328, 5172, 2288, 4032, 6055, 1211, 9307, 3660, 6055, 1211, 9307, 3660, 4032, 20328, 5172, 2288, 2423, 7649, 10874, 3215, 19446, 47525, 4117, 6055, 2655, 9778, 26895, 8032, 3215, 12610], "avg_logprob": -0.14322916457527562, "compression_ratio": 2.2751677852348995, "no_speech_prob": 5.960464477539063e-08, 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صفر و تلاتة تلاتة و صفر لما ذكرتلك السلسلة هذه هي عبارة عن بي واحد و بي اتنين و بي تلت عادة لما اشار السير هذا polygon الشكل النقاط هذه انا بافترض انك انت هتوصل بي واحد مع بي اتنين بي اتنين مع بي تلاتة", "tokens": [6027, 1863, 4587, 41193, 8608, 1211, 3794, 37977, 9154, 28239, 4587, 41193, 30767, 1829, 19446, 10874, 16758, 2655, 13412, 2407, 10632, 12174, 1211, 2655, 23275, 1975, 8315, 20328, 5172, 2288, 4032, 20328, 5172, 2288, 20328, 5172, 2288, 4032, 6055, 1211, 9307, 3660, 6055, 1211, 9307, 3660, 4032, 20328, 5172, 2288, 5296, 15042, 29910, 37983, 2655, 23275, 21136, 1211, 3794, 37977, 29538, 39896, 6225, 3555, 9640, 3660, 18871, 4724, 1829, 36764, 24401, 4032, 4724, 1829, 1975, 2655, 1863, 9957, 4032, 4724, 1829, 6055, 1211, 2655, 6225, 18513, 3660, 5296, 15042, 1975, 8592, 9640, 21136, 13546, 23758, 48242, 25124, 28820, 28239, 4587, 41193, 29538, 1975, 8315, 4724, 31845, 2655, 43042, 16472, 4117, 16472, 2655, 8032, 2655, 2407, 36520, 4724, 1829, 36764, 24401, 20449, 4724, 1829, 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/7XIcuACbBDo_raw.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/7XIcuACbBDo_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0da74022e1657a26d54373ec6b623f5d8c6b6af8
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/7XIcuACbBDo_raw.srt
@@ -0,0 +1,2452 @@
+1
+00:00:21,090 --> 00:00:23,310
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:23,310 --> 00:00:25,750
+اليوم ان شاء الله شباب هنبدأ ب chapter جديد اللي
+
+3
+00:00:25,750 --> 00:00:29,250
+هو الباب الرابع او الفاصل الرابع في المادة واللي
+
+4
+00:00:29,250 --> 00:00:34,010
+بتكلم على coordinate systems او نظام الاحداثيات
+
+5
+00:00:34,010 --> 00:00:39,960
+النظام الاحداث هنغطي المواضيع في ال chapter هذاالـ
+
+6
+00:00:39,960 --> 00:00:45,280
+Cartesian Coordinates أو المحور دي كارتية او الـ
+
+7
+00:00:45,280 --> 00:00:49,220
+Cartesi دي كارتيزي الـ Agile System المحور الرئيسي
+
+8
+00:00:49,220 --> 00:00:53,900
+في الـ System و المسافة بين أي نقطتين و هنتكلم على
+
+9
+00:00:53,900 --> 00:00:59,850
+المساحة لأي شكل في الـ 2Dهنتكلم عن الـ Polar
+
+10
+00:00:59,850 --> 00:01:02,970
+System كنظام للـ Cartesian System مقابل للـ
+
+11
+00:01:02,970 --> 00:01:05,370
+Cartesian System و هنتكلم عن الـ Spherical و
+
+12
+00:01:05,370 --> 00:01:09,170
+هنتكلم عن الـ Cylindrical Coordinates هذه عبارة عن
+
+13
+00:01:09,170 --> 00:01:12,790
+نظم إحداثيات غير الـ Cartesian اللي احنا قبل عرفه
+
+14
+00:01:13,940 --> 00:01:17,140
+طبعا من أهم التطبيقات اللي بتشوفها في حياتي
+
+15
+00:01:17,140 --> 00:01:20,460
+اليومية اللي هي ال google maps او ال maps على
+
+16
+00:01:20,460 --> 00:01:24,260
+الجوال بشكل عام هتستخدم او تستخدم نظام الإحداثيات
+
+17
+00:01:24,260 --> 00:01:27,920
+من أجل وصول للخرائط لو أنت كنت مثلا في غزة و بدك
+
+18
+00:01:27,920 --> 00:01:31,880
+تصل لمنطقة معينة في خنيونس او في رفح ممكن تستخدماش
+
+19
+00:01:31,880 --> 00:01:35,620
+ال google map طبعا بعتبن على نظام ال GPS ال global
+
+20
+00:01:35,620 --> 00:01:40,940
+positioning system بروح بدي إحداثية X و Y انت وين
+
+21
+00:01:40,940 --> 00:01:47,610
+موجودالـ Target تبعتك X1 وY1 وبنانة عليها برسوم
+
+22
+00:01:47,610 --> 00:01:52,270
+المسار اللى بيوصلك للمقاطين اللى موجودة عندك طبعا
+
+23
+00:01:52,270 --> 00:01:55,790
+كل هذا عبارة عن معلومات موجودة في الـ system بس
+
+24
+00:01:55,790 --> 00:02:00,270
+الفكرة في تمثيلها بشكل بياني أو رسومي على الشاشة
+
+25
+00:02:00,270 --> 00:02:07,850
+عندكمن أهم التطبيقات اللى بنستخدمها في ال graphics
+
+26
+00:02:07,850 --> 00:02:12,670
+مع ال coordinate systems اللى هي موضوع ان انا اخد
+
+27
+00:02:12,670 --> 00:02:18,890
+systematic او systematic draw او ارسم ضمن نظام
+
+28
+00:02:18,890 --> 00:02:23,950
+معين بنشوف الزخارف اللى زى هذه بظبط؟ بنشوفها
+
+29
+00:02:23,950 --> 00:02:28,290
+باستمرار الزخرف هى عبارة عن بعض الأشكال الهندسية
+
+30
+00:02:28,290 --> 00:02:36,370
+الحرة بظبط؟بس ايش بتتسمى الرسم ككلها؟ الانتظام طيب
+
+31
+00:02:36,370 --> 00:02:44,170
+اساس الانتظام انه لو انا تخيلت الرسم هاي اربع
+
+32
+00:02:44,170 --> 00:02:44,610
+اقسام
+
+33
+00:02:49,310 --> 00:02:54,290
+الانعكاس او الصورة انعكاس ال بارتها يعني عادة في
+
+34
+00:02:54,290 --> 00:02:57,290
+ال graphical عندما تستخدم الكمبيوتر في الرسم انت
+
+35
+00:02:57,290 --> 00:03:02,410
+مش ضروري مش ضروري تعتمد تعتمد 100% الرسمة كاملة
+
+36
+00:03:02,410 --> 00:03:06,130
+فبتركز على نص الرسمة على سبيل المثال كانوا يعلمون
+
+37
+00:03:06,130 --> 00:03:10,110
+زمان لما بدك ترسم فراشة او بدك ترسم مزهرية ارسم
+
+38
+00:03:10,110 --> 00:03:14,530
+نصها فقطتمام؟ والنص التاني اجلب الورقة على الوسط و
+
+39
+00:03:14,530 --> 00:03:19,150
+حاول ايش حد بتحبير هتحصل معاك فعليا رسمة منتظرة
+
+40
+00:03:19,150 --> 00:03:22,450
+وهنا نفس الكلام لإن النظام اللي عندنا هنا ال
+
+41
+00:03:22,450 --> 00:03:25,170
+Cartesian system هي الربع الرسم هي في الربع الأول
+
+42
+00:03:25,170 --> 00:03:29,770
+عشان تكتمل الرسمة بده اروح اعمل انعكاس همحه ال
+
+43
+00:03:29,770 --> 00:03:33,510
+Axel X Axis و لأ لما صار في انعكاس صار في انه نص
+
+44
+00:03:33,510 --> 00:03:38,150
+الرسم العلوي اعملت لرسم النص الكامل الآن العلوي
+
+45
+00:03:38,150 --> 00:03:44,870
+هذا عملت له انعكاسحول ال X Axis حصلت على الصورة
+
+46
+00:03:44,870 --> 00:03:50,590
+بشكل كامل وانت فعليا لو تخيلت فالرسمتين اللي
+
+47
+00:03:50,590 --> 00:03:52,970
+موجودات عندها اللي بعتمدوا على ال Cartesian System
+
+48
+00:03:52,970 --> 00:03:58,610
+فعليا في تماثل او في عكاس واضح للجزء اليمين او
+
+49
+00:03:58,610 --> 00:04:02,210
+اليسار او العلوي او السفلي للصورة اللي موجودة طبعا
+
+50
+00:04:02,210 --> 00:04:06,270
+حد فيكوا شاف دي على السوق قبل هيك خضرة ماريو
+
+51
+00:04:08,160 --> 00:04:11,260
+طيب تعالى في المقادم نشوف الرسمات اللى موجودة
+
+52
+00:04:11,260 --> 00:04:14,880
+عندنا هنا شو
+
+53
+00:04:14,880 --> 00:04:17,600
+اللى علاقة بال Cartesian system هاي؟ اللى علاقة
+
+54
+00:04:17,600 --> 00:04:21,060
+بال coordinate system تمام هذه الرسمات الشباب
+
+55
+00:04:21,060 --> 00:04:25,940
+نعتمد فيها احنا على ال X و ال Y و ال X و ال Y
+
+56
+00:04:25,940 --> 00:04:35,000
+المحاور الصين و الصد هدول المحورين رئيسيالكن في
+
+57
+00:04:35,000 --> 00:04:40,500
+محاور مقابلة او نظم مقابلة لـ Cartesian System
+
+58
+00:04:40,500 --> 00:04:43,800
+منها على سبيل المثال الـ Bowler System او النظام
+
+59
+00:04:43,800 --> 00:04:48,380
+الدائر الذي نشأنا نسميه الفكرة فيها انه بيعتمد على
+
+60
+00:04:48,380 --> 00:04:53,680
+زاوية و نصف قطربعتمد على زاوية و نصف قطر و بصير
+
+61
+00:04:53,680 --> 00:04:57,980
+النظام الرسمي اللى عندى نظام دوائر دائرى فانت
+
+62
+00:04:57,980 --> 00:05:02,080
+فعليا النظام اللى اترسمت عليه الذخرة فهي او الدب
+
+63
+00:05:02,080 --> 00:05:06,200
+هذا هو عبارة عن polar system او لو طلعت على الخطوط
+
+64
+00:05:06,200 --> 00:05:09,100
+اللى مش واضحة كتير عنها على السطورة هي عبارة عن
+
+65
+00:05:09,100 --> 00:05:13,060
+دائر coordinates بتكلم على نصف القطر و بتكلم على
+
+66
+00:05:13,060 --> 00:05:16,560
+الزاوية اللى انا رسمت فيها وبالتالي بقدر احصل على
+
+67
+00:05:16,560 --> 00:05:21,370
+نظامطبعا بالاضافة للرسم انا فعليا ال kartesian
+
+68
+00:05:21,370 --> 00:05:23,570
+system او عفوا ال coordinate system بشكل عام
+
+69
+00:05:23,570 --> 00:05:27,310
+يستخدم بشكل كويس بشكل محترم في الحياة اليومية و
+
+70
+00:05:27,310 --> 00:05:30,930
+منها زي ما قلنا في موضوع ال GPS و اصول الخرائط
+
+71
+00:05:30,930 --> 00:05:40,830
+هنبدأ مع ال kartesian plane plane مسطح تمام plane
+
+72
+00:05:40,830 --> 00:05:42,110
+مسطح
+
+73
+00:05:44,720 --> 00:05:48,820
+لما انا بتكلم الـ plane هذا with a rectangular ايش
+
+74
+00:05:48,820 --> 00:05:53,360
+rectangular شباب مستطيل
+
+75
+00:05:53,360 --> 00:05:58,900
+مستطيل rectangle rectangle مستطيل rectangular
+
+76
+00:05:58,900 --> 00:06:05,120
+معناته انا بتكلم على نظام بنو احداثيات على نظام
+
+77
+00:06:05,120 --> 00:06:09,640
+المستطيل ليش نظام المستطيل يا شباب ليش مجلش المربع
+
+78
+00:06:15,080 --> 00:06:21,760
+أيوة في المربع في اشارة واضحة ان كلهم بيعتمد ان كل
+
+79
+00:06:21,760 --> 00:06:25,120
+ال sites او كل الأطلاع متساوية ولما عادة بيقولك
+
+80
+00:06:25,120 --> 00:06:29,840
+اديني مساحة المربع بتقوله اطلاع تربيع وبتسكت بينما
+
+81
+00:06:29,840 --> 00:06:33,300
+لما باجي بقولك المستطيل اديني مساحة المستطيل
+
+82
+00:06:33,300 --> 00:06:38,550
+بتقوله الارتفاعفي الطول او في العرض تسميها زي ما
+
+83
+00:06:38,550 --> 00:06:43,290
+بدك تتكلم على two different sides دلالة على انه في
+
+84
+00:06:43,290 --> 00:06:48,330
+عند بالعين مختلفين وهنا بتأكدك على نفس المعلومة
+
+85
+00:06:48,330 --> 00:06:52,910
+انه انا فعليا باعتمد على قيمتين مختلفتين اللي هم
+
+86
+00:06:52,910 --> 00:06:57,410
+ال X وال Y ممكن يكون متساويات في لحظة انها لكن
+
+87
+00:06:57,410 --> 00:07:01,270
+الأساس ان القيمتين هدول انهم هيكونوا مختلفتين في
+
+88
+00:07:01,270 --> 00:07:06,660
+ال system اللي موجود عندهاوبالتالي النظام هذا ال
+
+89
+00:07:06,660 --> 00:07:10,980
+rectangular coordinate system بيعتمد على ارتباط
+
+90
+00:07:10,980 --> 00:07:17,520
+النقطة بقيمتين تمام؟ يعني الآن لما بتكلم على ال
+
+91
+00:07:17,520 --> 00:07:22,720
+coordinate system هاي ال plane بتكلم على نظام نقطة
+
+92
+00:07:22,720 --> 00:07:28,740
+هاي النقطة طب ماهي النقطة عملت المستقيل هذا؟
+
+93
+00:07:28,740 --> 00:07:32,060
+مصبوط؟
+
+94
+00:07:32,790 --> 00:07:37,370
+النقطة هذه إيها إحداثيات أو مرتبطة بزوج من الأرقام
+
+95
+00:07:37,370 --> 00:07:41,870
+اللي هم حسب قيمة اللي عندهان بدا بال X و بعدين
+
+96
+00:07:41,870 --> 00:07:48,990
+بتكلم على سالب اتنين و تلاتة سالب اتنين و تلاتة
+
+97
+00:07:48,990 --> 00:07:54,610
+الان مش قضية سالب ولا موجب في الآخر احنا بنتكلم
+
+98
+00:07:54,610 --> 00:07:58,490
+على الفيلم بنتكلم على نقطة حسب الاتجاه اللي موجود
+
+99
+00:07:58,490 --> 00:07:59,990
+عندهان الرسم
+
+100
+00:08:04,580 --> 00:08:07,160
+في أي مشكلة في التعامل مع الـ Cartesian يا شباب؟
+
+101
+00:08:07,160 --> 00:08:10,340
+يعني لما أنا بجيبلك المحاور أساس الرسم عندي
+
+102
+00:08:10,340 --> 00:08:16,140
+المحاور تمام؟ و التجسيمة ضروري جدا إذا انت بقى
+
+103
+00:08:16,140 --> 00:08:21,580
+تتجسم المحاور تتجسمها ب unit متساوية تتجسم ال unit
+
+104
+00:08:21,580 --> 00:08:24,840
+متساوية و إذا بتتذكر دفتر الرسم البياني اللي كنا
+
+105
+00:08:24,840 --> 00:08:28,660
+نشوفه زمان المربعات الصغيرة هاي كانت كلها إيش
+
+106
+00:08:28,660 --> 00:08:31,540
+uniform أو لها نفس الحجم تمام؟
+
+107
+00:08:40,130 --> 00:08:43,710
+بالإضافة للرسمة اللي موجودة عندنا هنا إيش أنا
+
+108
+00:08:43,710 --> 00:08:48,610
+بستفيد من ال kartesian ب system تمام تحديد موقع
+
+109
+00:08:48,610 --> 00:08:55,390
+النقطة ممتاز إحداثيات
+
+110
+00:08:55,390 --> 00:09:02,430
+الشكل غيره شباب
+
+111
+00:09:04,980 --> 00:09:09,280
+الان بقدر اقولك انا في عندي اسمة او في عندي اربع
+
+112
+00:09:09,280 --> 00:09:19,100
+نقاط موجودات صفر و صفر صفر و تلاتة تلاتة و صفر
+
+113
+00:09:19,100 --> 00:09:26,140
+اديتك تلات نقاط انا الان مصبوط ايوة صفر و صفر صفر
+
+114
+00:09:26,140 --> 00:09:33,960
+و تلاتة تلاتة و صفر الان جد ما بدك تتخيل هدولأكتر
+
+115
+00:09:33,960 --> 00:09:37,740
+شغلة ممكن تصلها انت لو انا رسمت خطوط ما بين النقاط
+
+116
+00:09:37,740 --> 00:09:43,520
+الثلاثة هذه بحصل على مثلث طب بس المثلث هدور رأسه
+
+117
+00:09:43,520 --> 00:09:47,880
+بأي اتجاه قائم الزاوية ولا غير قائم الزاوية؟ بدك
+
+118
+00:09:47,880 --> 00:09:51,900
+تدخل في مجموعة من الحسبات عشان تقدرلي فعليا هل هو
+
+119
+00:09:51,900 --> 00:09:55,660
+أيش مثلث قائم الزاوية او لا بينما لو انا اجيت
+
+120
+00:09:55,660 --> 00:10:01,700
+رسمتلك هاي صفر و صفر المقطة التانية صفر و تلاتة
+
+121
+00:10:03,760 --> 00:10:11,200
+تلاتة و صفر وبالتالي
+
+122
+00:10:11,200 --> 00:10:17,200
+صارت داني أو بوفر ليها بشكل visualبشكل مائي ورجالي
+
+123
+00:10:17,200 --> 00:10:21,280
+النقاط مع بعضها او علاقتها مع بعضها حتى لو .. شوف
+
+124
+00:10:21,280 --> 00:10:25,360
+لو انا فعليا محطت ال cash الخط او المستطيل او عارف
+
+125
+00:10:25,360 --> 00:10:28,800
+ان الخطوط ما بين النقاط وقلتلك هي النقاط لحالهم
+
+126
+00:10:28,800 --> 00:10:33,800
+مباشرة هتقدر تتخيل المثلف اكتر من ان انا اتزودتك
+
+127
+00:10:33,800 --> 00:10:38,080
+ماشي بالنقاط الموجودة وبالتالي بالاضافة لل
+
+128
+00:10:38,080 --> 00:10:41,100
+association و تحديد مواقع النقاط صار بالدين ايه؟
+
+129
+00:10:41,870 --> 00:10:46,870
+بتديني آلية من أجل تمثيل مرئي للنقاب و علاقتها مع
+
+130
+00:10:46,870 --> 00:10:52,310
+بعضها من أهم التطبيقات يا شباب تخيل أن النقطة هذه
+
+131
+00:10:52,310 --> 00:10:57,730
+عبارة عن غزة والنقطة هذه رفح
+
+132
+00:11:04,060 --> 00:11:09,400
+عشان تصل، عشان تصل، لازم تتبع مسار موجود، ايش
+
+133
+00:11:09,400 --> 00:11:13,320
+المسار الموجود؟ يعني مانفعش اشتغل ايش، اشتغل قطر،
+
+134
+00:11:13,320 --> 00:11:17,140
+مانفعش، بدك تمشي على النقاط اللي موجودة، وهذا اللي
+
+135
+00:11:17,140 --> 00:11:20,380
+فعليا اللي بيصير في النظام ال maps اللي موجودة، هي
+
+136
+00:11:20,380 --> 00:11:23,880
+عبارة عن مجموعة من النقاط خلصت الطريق من هنا بتطلع
+
+137
+00:11:27,300 --> 00:11:29,620
+هي هذا واحد من الـ possible routes اللي ممكن موجود
+
+138
+00:11:29,620 --> 00:11:32,820
+عندك واحد من المسارات المحتملة اللي ممكن تتبعها
+
+139
+00:11:32,820 --> 00:11:39,440
+ممكن تكون فيه تاني تمام؟ بقى بيجيك تدخل البرنامج
+
+140
+00:11:39,440 --> 00:11:42,860
+يحددك أقصر الطرق الاخرى بس في الآخر أنا بقدر أشوف
+
+141
+00:11:42,860 --> 00:11:46,660
+العلاقة بين النقطين و أجدر المسافة اللي موجودة
+
+142
+00:11:46,660 --> 00:11:51,580
+بينهم في حسبة معينة تمام؟ الآن أي نقطة في ال
+
+143
+00:11:51,580 --> 00:11:55,040
+kartesian system أو على ال kartesian plane بتتم
+
+144
+00:11:55,040 --> 00:12:02,060
+تمثيلهاOrdered Bear Ordered Bear ايش يعني Ordered
+
+145
+00:12:02,060 --> 00:12:05,540
+Bear؟ ايش يعني زوج مرتب يا محمد البعز؟ ايش يعني
+
+146
+00:12:05,540 --> 00:12:10,820
+زوج مرتب؟ ايش
+
+147
+00:12:10,820 --> 00:12:15,520
+يعني X و Y؟ ليش جال عنهم زوج مرتب؟ لأنه بينفعش
+
+148
+00:12:15,520 --> 00:12:23,530
+ابدل قيمة ال X في مكان ال Y بينفعش هذه لا تساوي Yو
+
+149
+00:12:23,530 --> 00:12:29,050
+X إلا لو كانت X يساوي Y مثل عنده نقطة صفر و صفر،
+
+150
+00:12:29,050 --> 00:12:34,290
+صفر و واحد، هذي بيصير لكن الوردع العام لاتساوي
+
+151
+00:12:34,290 --> 00:12:37,590
+راحظ
+
+152
+00:12:37,590 --> 00:12:43,830
+دائما ببدأ بال C بال X axis ببدأ المحور ال X axis
+
+153
+00:12:43,830 --> 00:12:46,390
+من قدر التعريف النقطة اللي موجودة عنده
+
+154
+00:12:49,870 --> 00:12:54,450
+وبنسمي X وY نسميهم ال coordinates الإحداثيات
+
+155
+00:12:54,450 --> 00:13:05,630
+الخاصة بالنقطة بي اللي موجودة عنها الأشكال
+
+156
+00:13:05,630 --> 00:13:11,870
+الهندسية أشكال الهندسية بشكل عام أو حتى المعادلات
+
+157
+00:13:11,870 --> 00:13:19,740
+الرياضية ال cares دائما بنرسمها عشان إيشنحاول
+
+158
+00:13:19,740 --> 00:13:23,860
+الصنبط الدالة بشكل أسر اكثر واذا بتتذكر لما
+
+159
+00:13:23,860 --> 00:13:30,120
+اتكلمنا على تان فيتا اتكلمنا على ال domain صح؟ ايش
+
+160
+00:13:30,120 --> 00:13:34,860
+قلنا ال domain يا شباب؟
+
+161
+00:13:34,860 --> 00:13:41,760
+او
+
+162
+00:13:41,760 --> 00:13:47,160
+من صفر لمية و تمانين مين بعيده يا شباب من صفر لمية
+
+163
+00:13:47,160 --> 00:13:47,760
+و تمانين؟
+
+164
+00:13:52,700 --> 00:13:59,600
+من بيأي دوه؟ أنا بقول غلط عارف ليش؟ لأن الـcos 90
+
+165
+00:13:59,600 --> 00:14:05,260
+هي المشكلة cos 90 هي المشكلة ما تنساش التاني عبارة
+
+166
+00:14:05,260 --> 00:14:08,600
+عن sin على cos cos 90 صفر يعني هصير في قسم على صفر
+
+167
+00:14:08,600 --> 00:14:13,540
+عام تصير الدالة غير معرفة لكن احنا بساطة بالدالة
+
+168
+00:14:13,540 --> 00:14:16,760
+المرة الماضية على الآخر لما جينا رسمنا قلت لك هاي
+
+169
+00:14:16,760 --> 00:14:20,200
+هاي الصفر موجودة هيك
+
+170
+00:14:25,010 --> 00:14:29,870
+وكانت ال 10 مرسومة معانا بالشكل هذا وبالتالي صارت
+
+171
+00:14:29,870 --> 00:14:34,630
+الرسمة الرياضية لما شوفت صورة الدالة قدرت أسوب
+
+172
+00:14:34,630 --> 00:14:39,510
+فعليا ال domain بشكل أسرع وبالتالي ال Cartesian
+
+173
+00:14:39,510 --> 00:14:44,830
+system ممكن يسهل علي فهم الدوائل الهندسية وهذا
+
+174
+00:14:44,830 --> 00:14:52,210
+الكلام فعليا لأن ال pairs اللي موجودة عندها X وYطب
+
+175
+00:14:52,210 --> 00:14:56,350
+ما هي هذه بجاني احنا نقول f of x اللي هي بالمقصين
+
+176
+00:14:56,350 --> 00:15:04,110
+ال y تساوي تمام المعادلة اللي عندي ال x من ال
+
+177
+00:15:04,110 --> 00:15:09,290
+domain و ال y ال range و كلها عبارة عن association
+
+178
+00:15:09,290 --> 00:15:14,390
+ارتباط ال alpha دالة في ال x تربيع ال x تربيع تمام
+
+179
+00:15:14,390 --> 00:15:23,130
+سلب اتنين اربعة اتنينأربعة مظبوط صرت أتكلم على
+
+180
+00:15:23,130 --> 00:15:27,130
+سالب اتنين تقوين اربعة و اتنين تقوين اربعة هل في
+
+181
+00:15:27,130 --> 00:15:32,070
+غيرهم مش هذا هو عبارة عن ارتباط association حسب
+
+182
+00:15:32,070 --> 00:15:36,650
+الدالة حسب تعريف الدالة وبالتالي الدوال ممكن تكتب
+
+183
+00:15:36,650 --> 00:15:42,610
+على صوت أزواجمرتبة على صورة أزواج مرتبة وبالتالي
+
+184
+00:15:42,610 --> 00:15:46,210
+صار في عندي الآن انا بقدر اجيب مجموعة النقاط
+
+185
+00:15:46,210 --> 00:15:50,950
+مجموعة نقاط ال function واعتبرهم عبارة عن list of
+
+186
+00:15:50,950 --> 00:15:54,910
+coordinates مجموعة من النقاط للدالة ومن ثم بقدر
+
+187
+00:15:54,910 --> 00:15:59,130
+احصل على الشكل تبع المعادلة الرياضية او ال
+
+188
+00:15:59,130 --> 00:16:03,550
+geometric shape اللي موجود عندي تمام يا شباب
+
+189
+00:16:10,180 --> 00:16:14,980
+أحنا شوفنا ال graphical functions سابقاً أظبط؟ هاي
+
+190
+00:16:14,980 --> 00:16:19,960
+في عندي معادلة خطية Linear Quadratic Cubic
+
+191
+00:16:19,960 --> 00:16:24,160
+Trigonometric ليش؟ لأن في عندي ال sign و ال cosine
+
+192
+00:16:24,160 --> 00:16:36,960
+طبعا؟ طب هذه الدوال فعليا ال line اللي سمناها وهذه
+
+193
+00:16:36,960 --> 00:16:37,800
+سمناها
+
+194
+00:16:41,230 --> 00:16:45,610
+variable بس الفراغ اللي أنا بكتبهان فيه مصطلحين
+
+195
+00:16:45,610 --> 00:16:50,010
+مهمات فيه independent و فيه independent و أنا
+
+196
+00:16:50,010 --> 00:16:54,730
+دائما بعتمد على ال dependent variable اللي هو ال X
+
+197
+00:16:54,730 --> 00:16:59,390
+من
+
+198
+00:16:59,390 --> 00:17:00,670
+أجل تحديد ال independent
+
+199
+00:17:03,560 --> 00:17:10,640
+مظبوط؟ بعتمد على المتغير المستقل عشان اجيب قيمة
+
+200
+00:17:10,640 --> 00:17:19,500
+المتغير التابع والزوج المرتب بيبقى دائما ..
+
+201
+00:17:19,500 --> 00:17:24,500
+يا عيني عليكم صح النوم مين جاعد بتكلم؟ واحد لصاحي
+
+202
+00:17:24,500 --> 00:17:29,400
+انا جاعد بتكلم بقول دبا مستقل و بقول تابع و روحت
+
+203
+00:17:29,400 --> 00:17:30,620
+في الكلمات ايه سويت؟
+
+204
+00:17:34,040 --> 00:17:37,380
+الـ Y هي الـ Dependent وهذه عبارة عن Independent
+
+205
+00:17:37,380 --> 00:17:44,580
+طيب ماشي الحال .. الآن كمان مرة X هي المتغير
+
+206
+00:17:44,580 --> 00:17:49,600
+المستقل Independent لا تعتمدش على حدا Independent
+
+207
+00:17:49,600 --> 00:17:56,820
+لأن شباب النفي تبعت ال dependency طيب anyway
+
+208
+00:18:00,690 --> 00:18:04,890
+وبالتالي انا دائما ببدأ بال independent variable X
+
+209
+00:18:04,890 --> 00:18:11,730
+من أجل وصول ال dependent variable Y لان
+
+210
+00:18:11,730 --> 00:18:17,050
+في ايش المعادلات الرياضية هذه اذا انا فهمت ان كل
+
+211
+00:18:17,050 --> 00:18:21,450
+معادلة رياضية بقدر اشكلها بزوج مرتبة على ال
+
+212
+00:18:21,450 --> 00:18:24,550
+coordinate system او على الكارتيزين ال plane هل
+
+213
+00:18:24,550 --> 00:18:28,580
+هذه المعادلات ممكن تخدمني؟ اه ممكن تخدمنيالآن هذه
+
+214
+00:18:28,580 --> 00:18:34,320
+المعادلات ممكن تستخدم في الـ Computer Animation في
+
+215
+00:18:34,320 --> 00:18:38,080
+رسومات الحسوب أو تمام أو الحركة بالحسوب من أجل
+
+216
+00:18:38,080 --> 00:18:48,760
+التحكم في الحركة أنا بتدعم الحركة لونابية هل في
+
+217
+00:18:48,760 --> 00:18:53,130
+مجلة logic function تحكمها؟حرام عليك يا راجل فيه
+
+218
+00:18:53,130 --> 00:18:58,210
+حد بيقدر يذكر ان فيها .. ايوة ايوة ما هي الحركة
+
+219
+00:18:58,210 --> 00:19:03,130
+الاولابية اللي بتعملها الرصاصة الخارجة الان هذه
+
+220
+00:19:03,130 --> 00:19:06,210
+الحركة الاولابية في حد بتذكر وين زهرت معاها الحركة
+
+221
+00:19:06,210 --> 00:19:06,470
+هذه
+
+222
+00:19:10,400 --> 00:19:12,780
+في الـ imaginary number في الـ I لما اتكلمني على
+
+223
+00:19:12,780 --> 00:19:16,520
+ال complex number و كل واحدة من تطبيقاتها اللي
+
+224
+00:19:16,520 --> 00:19:18,880
+بتستخدم في تصميم الدواري الإلكترونية و من ثم
+
+225
+00:19:18,880 --> 00:19:24,240
+الحركة اللولابية اللي موجودة عندنا تمام؟ و بالتالي
+
+226
+00:19:24,240 --> 00:19:29,000
+صار في عندنا انا فعليًا X و Y طيب حركة هل درجة كل
+
+227
+00:19:29,000 --> 00:19:33,060
+حركة حركة لولابية لأ؟ طب انا في عندي كمان لما
+
+228
+00:19:33,060 --> 00:19:38,460
+رمينا نقطة الحجر في بركة الميه تمام؟ هذه موجة
+
+229
+00:19:41,080 --> 00:19:47,960
+وبالتالي استخدام الـ sine و الـ cosine طيب ال
+
+230
+00:19:47,960 --> 00:19:56,740
+light الأضواء تلان في عندك شمس فوق و
+
+231
+00:19:56,740 --> 00:20:03,580
+في عندك شجرة هنا كيف بدرسم شجرة anyway و في عندك
+
+232
+00:20:03,580 --> 00:20:08,420
+شجرة هنا و بدك ترسم .. بدك ظل طب عشان تجيب الظل
+
+233
+00:20:08,420 --> 00:20:15,440
+ايش بالذنبك؟بلزمك اتحدد النقطة اللي هان والنقطة
+
+234
+00:20:15,440 --> 00:20:19,380
+اللي هان عشان تقدر تجيب ايش خط مستقيم يلتقى مع
+
+235
+00:20:19,380 --> 00:20:23,700
+نقطة هان بصيه بقدر ارسم الظلم مايزيدش عن حجم
+
+236
+00:20:23,700 --> 00:20:26,680
+المثلث اللي موجود عندي هان ولا لأ يعني ممكن الظلم
+
+237
+00:20:26,680 --> 00:20:30,520
+تبعه هيكون هان ال shadow تبع الشجرة high يكون
+
+238
+00:20:30,520 --> 00:20:36,980
+فعلياً هيك اكبر من المثلث مستحيل دائما هو ايش اللي
+
+239
+00:20:36,980 --> 00:20:42,030
+بيحدد الظلم شبابالضوء .. الضوء .. المنطقة اللي
+
+240
+00:20:42,030 --> 00:20:47,470
+بيصلها ضو الشمس .. فرام عليك .. المنطقة اللي
+
+241
+00:20:47,470 --> 00:20:52,570
+بيصلها ضو الشمس مش فيها ضلة ..
+
+242
+00:20:52,570 --> 00:20:58,230
+يعني الآن اللي تحت الخط .. اللي تحت الخط مش فيها
+
+243
+00:20:58,230 --> 00:21:01,750
+ضو شمس .. مظبوط؟ وبالتالي ايش؟ منطقة مضلة لهذه ..
+
+244
+00:21:01,750 --> 00:21:06,180
+و اللي فوق الخطليش أقفنا عند النقطة هاي؟ لأن هنا
+
+245
+00:21:06,180 --> 00:21:10,000
+فعلياً آخر نقطة صار فيلتر أعلى الشمس مع الأرض
+
+246
+00:21:10,000 --> 00:21:13,560
+وبالتالي ما دون هيك إذا مافيش share تاني المنطقة
+
+247
+00:21:13,560 --> 00:21:17,380
+هذه مش مسة طب كيف بدي أجيب هذا الكلام؟ باعتمادك
+
+248
+00:21:17,380 --> 00:21:22,340
+على ال coordinate system من أجل الرسم الصحيح تمام
+
+249
+00:21:22,340 --> 00:21:25,440
+بعد
+
+250
+00:21:25,440 --> 00:21:28,640
+ذلك ممكن انا أستخدم او استخدام ال virtual camera
+
+251
+00:21:28,640 --> 00:21:36,410
+زوة التصويرالان تذكر انا قلنا لك لما انا بجرب بعمل
+
+252
+00:21:36,410 --> 00:21:41,810
+zoom او بابعد ايش بزيد فيه عندي؟ بالتفاصيل اكتر او
+
+253
+00:21:41,810 --> 00:21:45,990
+بين جسيم زاوية الرؤية او اتساع الرؤية ايش بتزيد
+
+254
+00:21:45,990 --> 00:21:53,590
+انا فعلا زاوية ثابتة بس العمود المقابل هي مثلث على
+
+255
+00:21:53,590 --> 00:21:54,530
+فرض ان انا واجب هنا
+
+256
+00:22:01,330 --> 00:22:05,010
+Angle of depression و Angle of elevation و ارتفاع
+
+257
+00:22:05,010 --> 00:22:12,110
+هذا المفروض نسوي هذا لما انا بجدّم بجف هان بصير
+
+258
+00:22:12,110 --> 00:22:17,330
+اشوف اجل لأن نفس الزاوية هان هي نفس الزاوية هان و
+
+259
+00:22:17,330 --> 00:22:21,450
+لأ و بالتالي انا سرت كارث عبارة عن النقاط كل ما
+
+260
+00:22:21,450 --> 00:22:26,730
+بجدّم او برجع بتختلف النقاط اللي عندي و بالتالي
+
+261
+00:22:26,730 --> 00:22:32,130
+بتختلف زاوية الرؤيةو هذه بتمثلها تلزمنا نتكلم على
+
+262
+00:22:32,130 --> 00:22:34,870
+ال virtual camera وتحريك ال virtual camera
+
+263
+00:22:34,870 --> 00:22:39,630
+وبالتالي بدل ما أتكلم أنا على relation بين X و Y
+
+264
+00:22:39,630 --> 00:22:45,130
+أروح أكتب المعادلة X بيتساوي Y بيتساوي MX زائد C
+
+265
+00:22:45,130 --> 00:22:49,550
+بقدرش أروح أسوي فيها الشباب أروح أرسمها أرسم
+
+266
+00:22:49,550 --> 00:22:54,650
+الدالة اللي موجودة عندي هنا وبالتالي
+
+267
+00:22:56,040 --> 00:22:59,140
+بتصير الدالة هذه أو الخط الرسمى تبع الدالة هي اللى
+
+268
+00:22:59,140 --> 00:23:04,220
+ممكن انا امشي عليها ال movement مش بس هيكت كمان لو
+
+269
+00:23:04,220 --> 00:23:07,580
+انا جيت و قلتلك كالتالي هي على ال cartesian system
+
+270
+00:23:07,580 --> 00:23:13,660
+انا فيه عند النقطة هذه اللى هي واحد و اتنين او
+
+271
+00:23:13,660 --> 00:23:17,160
+واحد واحد و اتنين okay واحد و واحد مش قضية كتير
+
+272
+00:23:17,160 --> 00:23:23,100
+وهذه النقطة بدي اعمل لها انعكاسبدي أعملها انعكاس
+
+273
+00:23:23,100 --> 00:23:33,320
+حول الـ Y-axis انعكاس حول الـ Y-axis معناته بدي
+
+274
+00:23:33,320 --> 00:23:35,660
+هتصير .. ليش .. مافيش عدد تخيّل .. سالة تخيّلية
+
+275
+00:23:35,660 --> 00:23:42,670
+الآن انعكاس هتصير هناتراقب هذه هتكون سالب واحد و
+
+276
+00:23:42,670 --> 00:23:46,770
+واحد ليش هذا الكلام صار؟ لأن فعليا في عندي معادلة
+
+277
+00:23:46,770 --> 00:23:51,310
+خاصة بالانعكاس انعكاس حول محور يعني بتثبت القيمة
+
+278
+00:23:51,310 --> 00:23:55,950
+تبع المحور هذا المطلوب اشجار بقولك انعكاس حول ال Y
+
+279
+00:23:55,950 --> 00:24:02,540
+Axisثبّت قيمة الـ Y وغيرت إشارة من الـ X اللي هو
+
+280
+00:24:02,540 --> 00:24:05,860
+المحور التاني اللي موجود عندها وحنشوف هذا الإعكاس
+
+281
+00:24:05,860 --> 00:24:09,200
+و الـ rotation في المحورين على ال XY و XYZ إيش
+
+282
+00:24:09,200 --> 00:24:16,840
+بتقول؟ الصين هيه ال Y هو المحور الصادر مش اللي مش
+
+283
+00:24:16,840 --> 00:24:21,620
+في الصين طيب وبالتالي أنا صرت ممكن أعتمد على
+
+284
+00:24:21,620 --> 00:24:26,370
+المعادلات هذه لأن في حد يستطيع أقوله انا X أوفي
+
+285
+00:24:26,370 --> 00:24:34,450
+الانعكاس ال Y بدها تساوي Y وال X بدها تساوي minus
+
+286
+00:24:34,450 --> 00:24:37,990
+X هذا المعادلة اللي صارت اللي موجودة عندي هان
+
+287
+00:24:37,990 --> 00:24:42,710
+وبهيك اصبحت انا بقدر او بأمن انعكاس حول ال Y اكس
+
+288
+00:24:42,710 --> 00:24:52,990
+هاتلي اي نقطة لو كانت النقطة هان واحد او نص و سالب
+
+289
+00:24:52,990 --> 00:24:53,490
+خمسة
+
+290
+00:24:56,360 --> 00:25:04,380
+أعتبرها أنها نص و سالب خمسة العكاسها سالب
+
+291
+00:25:04,380 --> 00:25:09,160
+نص و سالب خمسة لأنه حسب المعادلة الـY لربّها ثابتة
+
+292
+00:25:09,160 --> 00:25:15,340
+هى اللي قبلها تكون طب هاذي إيه شوفها هذه سالب نص و
+
+293
+00:25:15,340 --> 00:25:20,030
+سالب خمسة للـY قيمة الـY بتتغيروبالتالي صار في
+
+294
+00:25:20,030 --> 00:25:25,230
+عندي معادلات .. معادلات رياضية إلها حركة أو إلها
+
+295
+00:25:25,230 --> 00:25:28,270
+شغل أساسي في موضوع الـ Graphic هى لإن أنا عملت
+
+296
+00:25:28,270 --> 00:25:31,970
+انعكاس طب لو أنا فيه جيبت عندي مكعب و المكعب هذا
+
+297
+00:25:31,970 --> 00:25:34,050
+بده يعمل روتيشن .. بده يتشكلب .. بده يرمي على
+
+298
+00:25:34,050 --> 00:25:38,290
+الأرض زى ما بنرمي حجر النارد مثلا أو جيبت كورة ..
+
+299
+00:25:38,290 --> 00:25:42,650
+جيبت كورة و بده يحرجها على الأرضمش منطق و لا انت
+
+300
+00:25:42,650 --> 00:25:48,650
+هتستغفل المشاهد و تروح تجيبله صورة تمام و تقول هذه
+
+301
+00:25:48,650 --> 00:25:52,030
+الصورة ليش قاعدة في الدحرج لأ مفهوش بدك فعليا تعمل
+
+302
+00:25:52,030 --> 00:25:56,230
+real object ده تعمل كرة حقيقية sphere تمام و
+
+303
+00:25:56,230 --> 00:26:00,590
+تكسيها بطبقة معينة ماتيرة معينة اللي هي الجلد مثلا
+
+304
+00:26:00,590 --> 00:26:04,710
+تخيل كرة سلة اللي هي ماتيرة كرة السلة و لما تعمل
+
+305
+00:26:04,710 --> 00:26:10,780
+.. لما بدك تشكل الدحرجة بدك تتكلم على rotationما
+
+306
+00:26:10,780 --> 00:26:17,160
+هو rotation؟ هو عبارة عن الدوران rotation وبالتالي
+
+307
+00:26:17,160 --> 00:26:21,880
+صارت المعادلات الرياضية هذه جزء أساسي أو جزء أصيل
+
+308
+00:26:21,880 --> 00:26:27,700
+من الحركة اللي موجودة عنها طيب وبالتالي صار في
+
+309
+00:26:27,700 --> 00:26:31,800
+عندي أنا بدل بأتكلم عن العلاقة بين x و y ال graphs
+
+310
+00:26:31,800 --> 00:26:36,580
+أو الرسومات بتشكل ال relation بين ال activities زي
+
+311
+00:26:36,580 --> 00:26:40,990
+الحركة و ال rotation و ال sizeو ال lightness
+
+312
+00:26:40,990 --> 00:26:46,210
+الإضاءة واللون في مقابل الزمن يعني بقى أنا بدي
+
+313
+00:26:46,210 --> 00:26:49,330
+أتكلم أنه أنا بدي أصيب أبني المعادلات الزمن
+
+314
+00:26:49,330 --> 00:26:55,830
+المعادلات تبعتي تبعا للزمن ال movement بعد الحركة
+
+315
+00:26:55,830 --> 00:26:59,890
+أو المقضوف هذا اللي أنا رميتهبعد نص ثانية و جدّيه
+
+316
+00:26:59,890 --> 00:27:03,070
+هو اللي بيكون تمام؟ جدّيه هو اللي بدو يكون متواصل
+
+317
+00:27:03,070 --> 00:27:06,730
+هذه الصورة بتتكلم على حركة مع زمن بتتكلم rotation
+
+318
+00:27:06,730 --> 00:27:10,230
+بتعمل دوران سرعة الدوران جدّيه مش بيتكون في
+
+319
+00:27:10,230 --> 00:27:13,830
+الثانية فهذه كلها عبارة عن معادلات لازم تتحقق من
+
+320
+00:27:13,830 --> 00:27:17,510
+ناحية راضية و من ثم مراسمها بتتم على ال Cartesian
+
+321
+00:27:17,510 --> 00:27:24,970
+plane اللي هي XOY اه
+
+322
+00:27:24,970 --> 00:27:26,190
+ده مش شغال
+
+323
+00:27:34,480 --> 00:27:41,640
+مثال الرسم اللي على اللوحة بتمثل العلاق بقعدين ال
+
+324
+00:27:41,640 --> 00:27:46,400
+brightness شدة الإضاءة أو الإضاءة تمام مع ال frame
+
+325
+00:27:46,400 --> 00:27:49,100
+number و لما اتكلم عن ال frame مش هبقى عادة
+
+326
+00:27:49,100 --> 00:27:52,960
+بالفيديو اللي بيجي بتكلم الفيديو هذا يمثل frame
+
+327
+00:27:52,960 --> 00:28:00,060
+per second باجي بقول25 frame per second ايش يعني
+
+328
+00:28:00,060 --> 00:28:05,300
+الفيديو هو عبارة عن مجموعة من الصور الثابتة اللي
+
+329
+00:28:05,300 --> 00:28:12,040
+بتم عرضها بشكل متسلسل بتم عرضها بشكل متسلسل الان
+
+330
+00:28:12,040 --> 00:28:18,280
+الصور هذه يا محمد اذا عرضت بسرعة يعني حطيت بقول
+
+331
+00:28:18,280 --> 00:28:22,080
+مثلا 50 frame في الثانية بتحس الإحداث كيف ناشية
+
+332
+00:28:22,080 --> 00:28:28,510
+طيارة وإذا قللت ال framesهيحسها بماشي البطولة
+
+333
+00:28:28,510 --> 00:28:32,910
+المثال اللي انت بتقوله دليل واضح على انه فعليا اي
+
+334
+00:28:32,910 --> 00:28:36,290
+movie هي عبارة عن طب نتكلم عن ال animation هي
+
+335
+00:28:36,290 --> 00:28:40,730
+عبارة عن مجموعة من الصور الآن لو انت جربت تمسك
+
+336
+00:28:40,730 --> 00:28:46,040
+دفترك تمامأو مثلًا على عشر صفحات متتاليات بدأت
+
+337
+00:28:46,040 --> 00:28:49,580
+ترسم النجمة فقط في جرمة الصفحة والصفحة اللي بعدها
+
+338
+00:28:49,580 --> 00:28:53,080
+أعملت إزاحة بسيطة للنجمة واستخدمت نفس مقدار
+
+339
+00:28:53,080 --> 00:28:56,980
+الإزاحة هذه على كل الصفحات المتتالية ومسكت الدفتر
+
+340
+00:28:56,980 --> 00:29:01,440
+وعملت كراتهم هيكد ورا بعض بتحس إن النجمة فعليًا
+
+341
+00:29:01,440 --> 00:29:05,540
+قاعدة عيش وهذا هو اللي بيصيح في الكمبيوتر أنا خلال
+
+342
+00:29:05,540 --> 00:29:09,780
+الفقر الزمني هذا تلاحظ انت لما .. كأنا بقول لما
+
+343
+00:29:09,780 --> 00:29:15,910
+فتلت الورق عن بعض بشكل سريعكام ثانية أخدت؟ بين كل
+
+344
+00:29:15,910 --> 00:29:20,510
+ورقة والثانية، أجزاء من الثانية فعليًا، والآن، لو
+
+345
+00:29:20,510 --> 00:29:24,090
+كان حجم الورقة اللي بينها عرض سريع، هتحس أنه فيه
+
+346
+00:29:24,090 --> 00:29:27,810
+قفزات، ليش؟ لسه، يعني مش هتقدر تطبق الحركة، مش
+
+347
+00:29:27,810 --> 00:29:30,690
+هتقدر تطبق الحركة، ولو كانت، يعني كل ثانية تتعرض
+
+348
+00:29:30,690 --> 00:29:37,180
+لصورة،بتحسها بطيئة بشكل مميت تقريبا 25 frame per
+
+349
+00:29:37,180 --> 00:29:41,180
+second average average للشغلات اللي موجودة عندها
+
+350
+00:29:41,180 --> 00:29:46,980
+anyway الاهدرال ريليشن بتقوللي ان شدة الإضاءة ال
+
+351
+00:29:46,980 --> 00:29:52,220
+brightness تمام بتتغير مع مرور الزمن بتتغير مع
+
+352
+00:29:52,220 --> 00:29:56,620
+مرور الزمن ليش شدة
+
+353
+00:29:56,620 --> 00:29:58,740
+الإضاءة ال brightness او الضوء
+
+354
+00:30:01,490 --> 00:30:05,670
+في تيار مثلا متردد انا بفترض ان والله هنا الشمس
+
+355
+00:30:05,670 --> 00:30:12,250
+تمام؟ فيه الشمس اللي هي حركة وفي نفس الوجهة في في
+
+356
+00:30:12,250 --> 00:30:16,230
+الموقف اللي عندي في مجموعة من ال clouds بدها تمر
+
+357
+00:30:16,230 --> 00:30:22,230
+هتلتقي الشمس و ال clouds في المنطقة هذه فشدة
+
+358
+00:30:22,230 --> 00:30:27,550
+الإضاءة كيف هتصير؟ هتجلح، هتعتن وبعد هيك لما ال
+
+359
+00:30:27,550 --> 00:30:32,340
+clouds ثرائبتها وماشي أكثر من صورة الشمسهتروح و
+
+360
+00:30:32,340 --> 00:30:37,140
+هترجعاش او هتطلع الشمس لأضاءتها او لغروتها وتفسر
+
+361
+00:30:37,140 --> 00:30:40,520
+الدول الموجودة هذه كلها عبارة عن functions انت
+
+362
+00:30:40,520 --> 00:30:45,020
+بتستخدمها في شقي فعلي عشان تطبط و غالبا هتلاقي
+
+363
+00:30:45,020 --> 00:30:48,980
+البرنامج جاهز بيقولك هي ال curve تبع الإضاءة شكله
+
+364
+00:30:48,980 --> 00:30:52,280
+مثلا انت ممكن بال mouse تبدأ ترفع او تنزل في ال
+
+365
+00:30:52,280 --> 00:30:54,780
+curve اللي موجود عندك و مباشرة تشوف ال effect
+
+366
+00:30:54,780 --> 00:30:57,380
+تبعته على ال shape اللي موجود
+
+367
+00:31:02,310 --> 00:31:06,310
+يعني في أنا فعليا في عندر في بعض وثيق ما بين الـ
+
+368
+00:31:06,310 --> 00:31:10,610
+Cartesian plane و ال geometric functions أو ال
+
+369
+00:31:10,610 --> 00:31:13,230
+graphical functions أو ال mathematical functions
+
+370
+00:31:13,230 --> 00:31:20,850
+بشكل عام جيومتريك شباب متركيش
+
+371
+00:31:20,850 --> 00:31:25,290
+تراجينومتري
+
+372
+00:31:25,290 --> 00:31:30,920
+قولي عبارة عن اختصار بقياشحساب المثلثات Tree او
+
+373
+00:31:30,920 --> 00:31:38,340
+Tri ثلاثي Gono اقتصار على المثلثات
+
+374
+00:31:38,340 --> 00:31:42,300
+اللي .. اللهم صلي علي سيد محمد Polygon Polygon
+
+375
+00:31:42,300 --> 00:31:47,760
+تمام و Metric متري او قياس Geometric
+
+376
+00:31:49,510 --> 00:31:53,250
+شكلتين جيو يعني انا بتكلم على جزء من الجغرافيا او
+
+377
+00:31:53,250 --> 00:31:58,030
+رسم وبتكلم على متر شغلاش مطبوطة بقياس يعني الشغلة
+
+378
+00:31:58,030 --> 00:32:01,370
+مش عشوائية شغلة مش عشوائية يعني انا بتكلم على
+
+379
+00:32:01,370 --> 00:32:04,930
+جيومتريك الاية كل graphics بالكمبيوتر في
+
+380
+00:32:04,930 --> 00:32:09,810
+الجيومتريك اما بتكون 2D او 3D وهذا بنقول عنها 2D
+
+381
+00:32:09,810 --> 00:32:16,890
+shapes اشكال او 3D objects مجسمات
+
+382
+00:32:25,910 --> 00:32:43,950
+هذا shape object
+
+383
+00:32:43,950 --> 00:32:52,150
+2D 2D يعني فقط أنا بتتكلم في بعدين اللي هما 2D XY
+
+384
+00:32:53,770 --> 00:32:59,870
+بتكلم في ال object بتكلم في تلت اتجاهات ال
+
+385
+00:32:59,870 --> 00:33:12,450
+3D object X و Y و Z فضل اللي بتنحنح طيب
+
+386
+00:33:12,450 --> 00:33:17,910
+ال polygons ال circuits ال curves كلها عبارة عن
+
+387
+00:33:17,910 --> 00:33:23,190
+shapes طيب هدول بنعرفهم طب و هدول
+
+388
+00:33:28,120 --> 00:33:34,420
+شو رأيكوا؟ الرسم
+
+389
+00:33:34,420 --> 00:33:41,840
+الأخير مكسرات مش غلط برضه او chips الله يعنيكم يا
+
+390
+00:33:41,840 --> 00:33:45,160
+شباب هي واضحة عبارة عن مجموعة من ال polygons تم
+
+391
+00:33:45,160 --> 00:33:50,380
+تجميح مع بعض باعتماد على المثلث فقط تمام؟ و موضعت
+
+392
+00:33:50,380 --> 00:33:58,990
+بشكل منظم طب هاي؟ فيها دوران فيها rotationهي عبارة
+
+393
+00:33:58,990 --> 00:34:02,770
+عن مجموعة من ال lines لان انا بتكلم عن arbitrary
+
+394
+00:34:02,770 --> 00:34:07,190
+curves لكن ال curve هذا انا ضبطه يعني انت تخيل
+
+395
+00:34:07,190 --> 00:34:11,610
+تخيل لو انا اجيت كالتاني ال curve ده لا يبقى ولا
+
+396
+00:34:11,610 --> 00:34:15,710
+يا شباب عفوا
+
+397
+00:34:15,710 --> 00:34:19,690
+ايوة
+
+398
+00:34:19,690 --> 00:34:25,790
+اكتر بيه طيب لو انا اجيت و بدأت اعمل shifting لل
+
+399
+00:34:25,790 --> 00:34:26,290
+curve هذا
+
+400
+00:34:31,000 --> 00:34:35,740
+عمل إزاحة تمام؟ و ممكن أنا أغير على المعادلة كمان
+
+401
+00:34:35,740 --> 00:34:40,460
+عشان أدّيش كل واحد يبدأ يتشابك مع التاني بعد فترة
+
+402
+00:34:40,460 --> 00:34:44,520
+من الزمن لأن الأشكال اللي عندي منتظمة هحصل على شكل
+
+403
+00:34:44,520 --> 00:34:49,340
+و بالمناسبة لو روح انت تدورت على الأشكال هذه و
+
+404
+00:34:49,340 --> 00:34:52,620
+سؤالت إيش المعادلات الرياضية تبعتها هتلاقي
+
+405
+00:34:52,620 --> 00:34:55,900
+المعادلات موجودة لهيك أشكال طيب
+
+406
+00:34:59,430 --> 00:35:04,090
+الـ fractals اللي هي عبارة عن التأثيرات أو اللي
+
+407
+00:35:04,090 --> 00:35:08,230
+احنا بنسميها أحيانا الجلد يا شباب أو الملمس تبعت
+
+408
+00:35:08,230 --> 00:35:15,190
+الصورة اللي موجودة عندها بينما لما أنا بتكلم على
+
+409
+00:35:15,190 --> 00:35:19,270
+object لما أصيب أتكلم على object في الـ3D بتكلم
+
+410
+00:35:19,270 --> 00:35:23,590
+على مجموعة من الأوجه ولا لأ؟ يعني الأن جاب شوية
+
+411
+00:35:23,590 --> 00:35:26,990
+لما رصبنا المكعب كم وجه المكعب يا شباب؟ 6
+
+412
+00:35:45,530 --> 00:35:50,550
+أي وجه اللي بده يبين حسب الاتجاه اللي أنا بعمل فيه
+
+413
+00:35:50,550 --> 00:35:54,890
+rotation إذا أنا مسكت المكعب من الجنبينوعملت
+
+414
+00:35:54,890 --> 00:35:58,370
+rotation للأمام معناته أنا بس عندي فرصة أني أشوف
+
+415
+00:35:58,370 --> 00:36:03,190
+أربع أوجه، مظبوط؟ طيب، لو مسكته من فوق و تحت و
+
+416
+00:36:03,190 --> 00:36:06,430
+خلته لف حوالي .. للي بتيجي عقارب الساعة أو ضد
+
+417
+00:36:06,430 --> 00:36:10,170
+عقارب الساعة، بشوف كمان أربع أوجه، وإذا مسكته من
+
+418
+00:36:10,170 --> 00:36:17,030
+زاويتين، صار بإمكاني أشوف .. أشوف الستة، أنا مسكته
+
+419
+00:36:17,030 --> 00:36:20,710
+من الزاويتين هيك و بدي ألفه، حسب الضبط، أنا مليون
+
+420
+00:36:20,710 --> 00:36:24,920
+بانظرله، بشوف تلاتةوبالتالي بتصير حسب ال rotation
+
+421
+00:36:24,920 --> 00:36:29,720
+انت هايه تخيله هايه هايه امسكته من الزاوية هيك
+
+422
+00:36:29,720 --> 00:36:33,420
+وبدي اعمل rotate على فرض ان هذا هو المكعب ايش انت
+
+423
+00:36:33,420 --> 00:36:39,020
+جاعة بتشوف من زاويتك بتشوف واحد اتنينالثلاثة
+
+424
+00:36:39,020 --> 00:36:43,420
+بتشوفش التلاتة التانية هذه behind طيب انت تخيل ان
+
+425
+00:36:43,420 --> 00:36:48,440
+في عندك object بدك تعمل rotation وفي كاميرا قاعدة
+
+426
+00:36:48,440 --> 00:36:52,200
+تتحرك في مقابل عملية ال rotation معناته انت بدك
+
+427
+00:36:52,200 --> 00:36:57,040
+تطبط وتعرف من الوجه اللي بده يبين تمام؟ وهذا
+
+428
+00:36:57,040 --> 00:37:00,920
+هنشوفه ان شاء الله لاحقا لما انا بتكلم على ال
+
+429
+00:37:00,920 --> 00:37:07,130
+objects بتكلم على الملمسجدّاش نعم أو خشل أو جدّاش
+
+430
+00:37:07,130 --> 00:37:10,490
+ممكن يكون fluffy أو ممكن يكون فرق أو مشابه اللي هي
+
+431
+00:37:10,490 --> 00:37:14,850
+اي ملمس او إضافي بدي أضيفه على الشكل اللي موجود
+
+432
+00:37:14,850 --> 00:37:18,570
+عندي هنا وبالتالي بصير و بتكلم على مجموعة من
+
+433
+00:37:18,570 --> 00:37:21,830
+العناصر اللي موجودة خلّيني ابدأ مع ال polygonal
+
+434
+00:37:21,830 --> 00:37:25,850
+shapes ال
+
+435
+00:37:25,850 --> 00:37:32,850
+polygon بتشكل من ال chain of vertices سلسلة من
+
+436
+00:37:33,760 --> 00:37:37,700
+النقاط سلسلة من النقاط زي ما جابت شوية قلتلك انا
+
+437
+00:37:37,700 --> 00:37:44,620
+صفر و صفر صفر و تلاتة تلاتة و صفر لما ذكرتلك
+
+438
+00:37:44,620 --> 00:37:48,540
+السلسلة هذه هي عبارة عن بي واحد و بي اتنين و بي
+
+439
+00:37:48,540 --> 00:37:54,380
+تلت عادة لما اشار السير هذا polygon الشكل النقاط
+
+440
+00:37:54,380 --> 00:37:58,140
+هذه انا بافترض انك انت هتوصل بي واحد مع بي اتنين
+
+441
+00:37:58,140 --> 00:38:03,910
+بي اتنين مع بي تلاتةو B3 مع B1 عشان يصير في عندي
+
+442
+00:38:03,910 --> 00:38:11,530
+أنا polygon بنفهش اروح اوصل انا B1 مع B2 هيها هي
+
+443
+00:38:11,530 --> 00:38:19,450
+B1 B2 و هي B3 و اسقط لازم تكمل الشكل ففي ال
+
+444
+00:38:19,450 --> 00:38:22,350
+polygon انا جاي بتكلم على chain of vertices مجموعة
+
+445
+00:38:22,350 --> 00:38:29,330
+من النقاطلازم تكون ايش مسكرة وفي عندى خط مستقيم
+
+446
+00:38:29,330 --> 00:38:37,110
+بربط بين كل نقطين متتاليتين بربط كل نقطين
+
+447
+00:38:37,110 --> 00:38:40,890
+متتاليتين اللي هم بيسميهم neighboring points
+
+448
+00:38:40,890 --> 00:38:42,270
+النقاط المتجاورات
+
+449
+00:38:45,340 --> 00:38:51,520
+مع اتنين و اتنين مع تلاتة و بيكتسكر السلسلة واحد
+
+450
+00:38:51,520 --> 00:38:56,300
+مع تلاتة يعني النقطة الأولى مع النقطة الأخيرة و
+
+451
+00:38:56,300 --> 00:38:59,880
+طبعا كل نقطة زى ما شوفنا X و Y X و Y و بالتالي
+
+452
+00:38:59,880 --> 00:39:04,740
+بحصل على الشكل اللى موجود عندي هاي مثلا ايش بنسم
+
+453
+00:39:04,740 --> 00:39:11,060
+الشكل هذا شباب شبه منحرف شبه منحرف
+
+454
+00:39:18,670 --> 00:39:23,990
+طيب الآن في النقاط اللي موجودة عندي هان سواء هذه
+
+455
+00:39:23,990 --> 00:39:30,190
+او النقاط هذه تخيل لو انا اجيت قولتلك بدي اطرح
+
+456
+00:39:30,190 --> 00:39:35,010
+تمام من كل نقطة نقدار اتنين two units
+
+457
+00:39:45,640 --> 00:39:51,230
+الرسمة الجديدة هي عبارة عن ايش؟مثلث بس ال position
+
+458
+00:39:51,230 --> 00:39:55,490
+تبعه يعني هو كإني بنجو سينقلش صوت المثلث عملت
+
+459
+00:39:55,490 --> 00:39:59,750
+إزاحة للمثلث، مصبوط؟ طيب تخيل لو قلتلك أنا بدي
+
+460
+00:39:59,750 --> 00:40:03,570
+أضرب النقاط هذه في اتنين، بديش أطرح منها اتنين،
+
+461
+00:40:03,570 --> 00:40:06,810
+بدي أضربها في اتنين، بعمل scaling، إذا ضربتها في
+
+462
+00:40:06,810 --> 00:40:11,990
+اتنين، بعمل تكبير، مصبوط؟ و لو ضربت في نصبعمل
+
+463
+00:40:11,990 --> 00:40:16,470
+تصغير، معناته الآن عملية الجمع أو الطرح تعمل إزاحة
+
+464
+00:40:16,470 --> 00:40:19,990
+وعملية الضرب تعمل scaling تكبير أو تصغير Scale
+
+465
+00:40:19,990 --> 00:40:24,930
+وبالتالي أنا فعليا تعاني مع الأشكال هيكون عبارة عن
+
+466
+00:40:24,930 --> 00:40:28,970
+عملية رياضية بكل بساطة، أما بتدبر في القيمة اللي
+
+467
+00:40:28,970 --> 00:40:32,530
+أنا بديها، بس الشيطانة شباب كمان مرة لما أنا بدي
+
+468
+00:40:32,530 --> 00:40:36,030
+أعمل Scale أو بدي أعمل إزاحةبدي تكون الحسبة تبعته
+
+469
+00:40:36,030 --> 00:40:41,390
+مضمونة ومنطقية فمش معقول انا جالب اقولك بدي ترسملي
+
+470
+00:40:41,390 --> 00:40:44,770
+او نعمل animation لسلحفات تتحرك على الطاولة هذه
+
+471
+00:40:44,770 --> 00:40:50,530
+خلال ثاني هذي السلحفات واصلى الباب مش منطق ولا شو
+
+472
+00:40:50,530 --> 00:40:56,950
+رايكوا؟ ممكن اذا انت نمت هنا على الطاولة ترميها
+
+473
+00:40:56,950 --> 00:41:01,290
+رمي كم
+
+474
+00:41:01,290 --> 00:41:06,160
+واحد؟خمسمية ممتاز يعني انت فعليا بتتحرك اللي هي
+
+475
+00:41:06,160 --> 00:41:11,480
+بسرعة رصاصة بس علاش جاعدين الشباب احنا جاعدين
+
+476
+00:41:11,480 --> 00:41:16,040
+نتكلم انت بدك تشتغل شغلها منطقيا الان اذا أقل
+
+477
+00:41:16,040 --> 00:41:18,440
+والله هي أخدت وجهتها وهي تمشي مانعته انت زي
+
+478
+00:41:18,440 --> 00:41:21,360
+الأرناب نمت على الطاولة تمشي ويجي وصحيت اللي بعد
+
+479
+00:41:21,360 --> 00:41:29,950
+ما جربت لازم تكون رياليستي كلها حط أرنابوحط القوقع
+
+480
+00:41:29,950 --> 00:41:35,590
+على دهره عشان نقوله لانه شاسمه قرب المتسلحف
+
+481
+00:41:35,590 --> 00:41:38,630
+لأن
+
+482
+00:41:38,630 --> 00:41:46,510
+اي شكل اي شكل اللي بيلزمنا تمام اي polygon بقدر
+
+483
+00:41:46,510 --> 00:41:52,830
+احسب مساحته احنا الآن لو كان هي عند المربع هذا
+
+484
+00:41:55,670 --> 00:41:59,890
+أو المستطيل سامي زي ما بدك احسب مساحته لان قانونك
+
+485
+00:41:59,890 --> 00:42:04,450
+جاهز طول الضلع في نفسه لو كان مربع لو كان مستطيل
+
+486
+00:42:04,450 --> 00:42:07,610
+طول في العرض لو كان مثلث نصف القاعدة في الارتفاع
+
+487
+00:42:07,610 --> 00:42:13,330
+لو كان لو كان تمام؟ طيب شبه المنحرف تبع قبل شوية
+
+488
+00:42:13,330 --> 00:42:19,930
+هذا مجموعة قاعدتين بتشغل عليها عبارة عن ايش؟ مثلث
+
+489
+00:42:19,930 --> 00:42:20,390
+مستطيل
+
+490
+00:42:23,690 --> 00:42:30,790
+مثلث ومستطيل فعلياً هيه صح؟ اه وبالتالي انا بقدر
+
+491
+00:42:30,790 --> 00:42:36,430
+اتكلم انه هي الارتفاع هذا يساوي هذا وصار في عندي
+
+492
+00:42:36,430 --> 00:42:40,310
+هذا بقدر ان اجيب الارتفاع مصبوط و بقدر احسب المثلث
+
+493
+00:42:40,310 --> 00:42:44,090
+مساحة المثلث ومساحة المستطيل واجيبه لكن في عندنا
+
+494
+00:42:44,090 --> 00:42:48,770
+شغلة عشان ماتوهش في المتاهة طيب لو كان الشكل سداسي
+
+495
+00:42:57,900 --> 00:43:04,840
+شو نساوي؟ كان مثلث ايه؟
+
+496
+00:43:04,840 --> 00:43:10,560
+ايش بيساوي؟ هيك؟ كل دلوقت معاك؟ كل دلوقت معاك؟ هاي
+
+497
+00:43:10,560 --> 00:43:18,560
+خلاص هتلك مثلثات غلط غلط هذا مش مثلث هذا مش مثلث
+
+498
+00:43:26,560 --> 00:43:33,020
+لأ بديش تمحيه طيب يعني في الآخر بدك تسقط عمودين و
+
+499
+00:43:33,020 --> 00:43:38,320
+تبدأيش تعمل هاي مستقيل و تعمل أربع مفلفات او
+
+500
+00:43:38,320 --> 00:43:43,240
+مستقيل و مفلفين مش قضية إشكالة بس في الآخر فعليا
+
+501
+00:43:43,240 --> 00:43:48,920
+بدك تحطه قدامك و تجيب مصر رجلام و تبدأيش جطب بدون
+
+502
+00:43:48,920 --> 00:43:53,660
+ما تجطب احنا فيه قانون سهل هلا بقولك إيش هو
+
+503
+00:43:53,660 --> 00:43:54,140
+القانون
+
+504
+00:43:58,080 --> 00:44:05,280
+النقاط المتسلسلة هيهم النقطة الأولى بي واحد بي
+
+505
+00:44:05,280 --> 00:44:14,400
+اتنين بي تلاتة بي أربعة او ان شئت بي صفر بي واحد
+
+506
+00:44:14,400 --> 00:44:20,060
+بي اتنين بتفرق كتير معاك؟ لأ المساحة الـ polygon
+
+507
+00:44:20,060 --> 00:44:28,350
+هي عبارة عن نص واحنا قلنا التسلسل المهم في النقاطX
+
+508
+00:44:28,350 --> 00:44:38,990
+الخاصة بي و Y0 مضروبة في X0Y0
+
+509
+00:44:38,990 --> 00:44:47,490
+X1Y1 X2Y2 X3Y3
+
+510
+00:44:47,490 --> 00:44:51,030
+والمقلوب الآن عشان أحسب البوليغون هذا وسحة
+
+511
+00:44:51,030 --> 00:44:55,250
+البوليغون بدي أعمل ضرب تبادل بين كل نقطين
+
+512
+00:44:55,250 --> 00:45:11,050
+متتاليتيننص المساحة تساوي نص في X0 في Y1 ناقص Y0
+
+513
+00:45:11,050 --> 00:45:26,460
+في X1 زائد خلصنا من هذه الآن X1 في Y2 ناقص Y1في X2
+
+514
+00:45:26,460 --> 00:45:32,740
+زائد صعبة؟ صعبة؟ بتضلك ناشي فيها، ولو كانت السلسلة
+
+515
+00:45:32,740 --> 00:45:39,540
+هادى، عفواً، ست نقاط، حتى لو كانت مليونطيب بتخلص
+
+516
+00:45:39,540 --> 00:45:42,860
+بكرا و ليش احنا بنتعلم computer يا حبيبي؟ و ليش
+
+517
+00:45:42,860 --> 00:45:47,220
+بنتعلم درمجة؟ عشان بدنا نقعد نحسب لحالة؟ لأ عشان
+
+518
+00:45:47,220 --> 00:45:50,300
+تيجي تستخدم ال python على سبيل المثال و تقول انا
+
+519
+00:45:50,300 --> 00:45:55,200
+بدعالها لحالة عامة عملية هذه هي باخد نقطين بمررهم
+
+520
+00:45:55,200 --> 00:45:58,940
+لل function و بقول جيبليهم فبتصير أجل من ثانية
+
+521
+00:45:58,940 --> 00:46:04,220
+بتكون عندك ال value موجودةهك علمنا هك تخصصنا تبع
+
+522
+00:46:04,220 --> 00:46:08,460
+الكمبيوتر انت فعلا تنظر للمعادل عن انه ايش بخلص
+
+523
+00:46:08,460 --> 00:46:11,600
+مكرا ولا بعده لما بدأ .. لو بدأش نبقى نهار فعلا اه
+
+524
+00:46:11,600 --> 00:46:18,820
+مصمم بكلامك و قمصر كمان كمان ان شاء الله بتخلص اذا
+
+525
+00:46:18,820 --> 00:46:24,240
+بتعرفش تستخدم الكليكوليفر مش هتخلص okay تخلص روحها
+
+526
+00:46:24,240 --> 00:46:27,420
+هاش
+
+527
+00:46:27,420 --> 00:46:35,550
+يا كامل تخلص روحه الآن أخر نقطة يا شبابهذه هذه
+
+528
+00:46:35,550 --> 00:46:42,730
+ايش بدك تساوي بدك تفترض ان وراها مباشرة X0 وY0
+
+529
+00:46:42,730 --> 00:46:46,030
+تعمل ضرب تبادل ما بينهم مش قلنا احنا لان عشان لازم
+
+530
+00:46:46,030 --> 00:46:49,770
+تكمل ال circle تغلق الدائرة اللي موجودة وبالتالي
+
+531
+00:46:49,770 --> 00:46:59,070
+ماتنساش اخر نقطة هتكون X3 في Y0 ماقص Y3 في X0 هذا
+
+532
+00:46:59,070 --> 00:47:05,380
+المجموع نصهبتكون احنا وحصل العالمين على المساحة
+
+533
+00:47:05,380 --> 00:47:10,060
+فهل نرجع نطبق هو كما الشكل الموجود عندنا هنا او
+
+534
+00:47:10,060 --> 00:47:10,960
+نطبقها على
+
+535
+00:47:32,500 --> 00:47:46,440
+مساحة المثلثة جديش الشباب صح؟
+
+536
+00:47:46,440 --> 00:47:53,180
+الآن
+
+537
+00:47:53,180 --> 00:47:58,220
+هيا احنا عندنا مثلث بوليغون و لا شو رايكو؟ بوليغون
+
+538
+00:47:58,220 --> 00:48:01,460
+من تلات نقاط هايهم بدي اطبق عليهم القانون هذا
+
+539
+00:48:03,280 --> 00:48:07,340
+المفروض يديني نفس المساحة هذه الاحتياطية كانت
+
+540
+00:48:07,340 --> 00:48:18,340
+موجودة عندي نص مضروب فيه صفر في صفر صفر
+
+541
+00:48:18,340 --> 00:48:28,880
+في صفر ناقص صفر في تلاتة زائد تلاتة
+
+542
+00:48:28,880 --> 00:48:44,800
+في تلاتة ناقص صفرزائد صفر في الصفر ناقص تش
+
+543
+00:48:44,800 --> 00:48:51,960
+تسعة تلاتة في تلاتة ناقص صفر في الصفر تلاتة في
+
+544
+00:48:51,960 --> 00:48:57,780
+تلاتة تسعة الان صفر في صفر ناقص صفر في تلاتة او
+
+545
+00:48:57,780 --> 00:49:05,830
+تلاتة في صفر الان ساويتسعة على اتنين اربعة و نص
+
+546
+00:49:05,830 --> 00:49:11,590
+وبالتالي اي بوليغون تطبق عليه القانون هتحصل على
+
+547
+00:49:11,590 --> 00:49:22,090
+النتيجة البوليغون اللي رسمناه عندنا هيه هى
+
+548
+00:49:22,090 --> 00:49:28,430
+مجموعة النقاط و بده مساحته هى النقاط المعطوية عندك
+
+549
+00:49:28,430 --> 00:49:39,030
+هتكون ساوينص مضروبة واحد في واحد نقص واحد في تلاتة
+
+550
+00:49:39,030 --> 00:49:44,410
+واحد نقص تلاتة زائد النقطة اللي بعديها تلاتة في
+
+551
+00:49:44,410 --> 00:49:51,550
+اتنين ستة ناقص تلاتة في واحد تلاتة زائد اللي بعدها
+
+552
+00:49:51,550 --> 00:49:59,470
+تلاتة في تلاتة نقص اتنين تسعة ناقص اتنين زائدالان
+
+553
+00:49:59,470 --> 00:50:05,710
+واحد في واحد ناقص واحد في تلاتة ناقص تلاتة هذه
+
+554
+00:50:05,710 --> 00:50:09,330
+النقاط اللي موجودة مش صعب القانون اذا انت فهمت
+
+555
+00:50:09,330 --> 00:50:13,870
+ترابط السلسة خد كل نقطة مع اللي وراها هتصل بكل
+
+556
+00:50:13,870 --> 00:50:19,850
+بساطة الان نص
+
+557
+00:50:19,850 --> 00:50:32,210
+ناقص اتنين زائد تلاتة زائد سبعةنقص اتنين عشرة نقص
+
+558
+00:50:32,210 --> 00:50:43,890
+اربعة ستة ستة على اتنين سوى تلاتة كمان
+
+559
+00:50:43,890 --> 00:50:49,570
+يا شباب؟ هي السؤال يا شباب السؤال اللي بيطرح نفسه
+
+560
+00:50:49,570 --> 00:50:54,850
+الآن لو انا مشيت مع النقاط بشكل عكسي احنا الآن
+
+561
+00:50:54,850 --> 00:50:55,970
+افترضنا ان النقاط
+
+562
+00:50:58,520 --> 00:51:03,360
+النقاط صفر و واحد واحد و اتنين اتنين و تلاتة مظبوط
+
+563
+00:51:03,360 --> 00:51:08,080
+تلاتة و اربعة اربعة و خمسة خمسة و ستة لحد M في
+
+564
+00:51:08,080 --> 00:51:14,840
+الاخر جيبت M و صفر مظبوط لو انا مشيت بالعكسهتطلع
+
+565
+00:51:14,840 --> 00:51:19,600
+القيمة سالبة، بس هل في area بالسالب؟ لأ، هل في
+
+566
+00:51:19,600 --> 00:51:22,580
+area بالسالب؟ لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ،
+
+567
+00:51:22,580 --> 00:51:22,700
+لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ،
+
+568
+00:51:22,700 --> 00:51:24,320
+لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ،
+
+569
+00:51:24,320 --> 00:51:27,220
+لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ،
+
+570
+00:51:27,220 --> 00:51:29,160
+لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ،
+
+571
+00:51:29,160 --> 00:51:34,560
+لأ، لأ، لأ، لأ، لأ،
+
+572
+00:51:34,560 --> 00:51:43,880
+لأ،
+
+573
+00:51:46,400 --> 00:51:54,420
+هك عكس عكس counter
+
+574
+00:51:54,420 --> 00:52:00,040
+clockwise عكس
+
+575
+00:52:00,040 --> 00:52:04,920
+عقارب الساعة لو مشيت مع عقارب الساعة بتحصل القيمة
+
+576
+00:52:04,920 --> 00:52:13,400
+سالمة ضد عقارب الساعة موجبة مع عقارب الساعة سالمة
+
+577
+00:52:13,400 --> 00:52:15,580
+عكس عقارب الساعة
+
+578
+00:52:18,700 --> 00:52:21,760
+أه هلأ انا انا مشيت انا مع عقاري بالساعة و بقيت
+
+579
+00:52:21,760 --> 00:52:26,780
+سالفة هيا ضد عقاري بالساعة الحل هذا كانت ده اتنى
+
+580
+00:52:26,780 --> 00:52:31,880
+تلاتة انا مشيت بالعكس الآن مع عقاري بالساعة نفس
+
+581
+00:52:31,880 --> 00:52:37,490
+اتجاه عقاري بالساعة طلعت معايا القيمة سالفلأ اللي
+
+582
+00:52:37,490 --> 00:52:40,910
+انا بدي اياك تفهمه ان لو انت وانت بتحسب طول الوقت
+
+583
+00:52:40,910 --> 00:52:45,190
+معاك القيمة صالبة ماتخافش خلاص انت شغلك غالبا صح
+
+584
+00:52:45,190 --> 00:52:48,630
+اذا بتعمل association صح بين النقاط لكن انت بتكون
+
+585
+00:52:48,630 --> 00:52:53,010
+.. يعني هيك لو انا اجيت حطتلك رسمة بدون ما اديك
+
+586
+00:52:53,010 --> 00:53:00,930
+نقاط هي الرسمة هي الرسمة وقلتلك حسبني القيمة
+
+587
+00:53:00,930 --> 00:53:07,090
+تبعتهاطبعا؟ روحت وانتهيت بقولت هاي واحد روحت منها
+
+588
+00:53:07,090 --> 00:53:15,150
+واحد في تلاتة لأقص واحد في واحد حرام عليك زائد
+
+589
+00:53:15,150 --> 00:53:22,340
+القاعد بين هدولة بتنتينواحد فى .. فى اتنين ناقص
+
+590
+00:53:22,340 --> 00:53:27,440
+تلاتة فى تلاتة تسعة زائد هدول المقطين تلاتة فى
+
+591
+00:53:27,440 --> 00:53:33,360
+واحد ناقص ستة الارتفالية جاية بتمشي مع غارب الساعة
+
+592
+00:53:33,360 --> 00:53:40,620
+هتطلع سالبة مع غارب الساعة كيف سالبة شباب طيب
+
+593
+00:53:48,050 --> 00:53:54,630
+الشكل هو نفسه ماتغيرتش مساحته على أي بوليجون أكيد
+
+594
+00:53:54,630 --> 00:53:57,570
+هذا الكلام لأي بوليجون يا شباب مافيش مشكلة عندك
+
+595
+00:53:57,570 --> 00:54:05,670
+فيه ماكانش
+
+596
+00:54:05,670 --> 00:54:09,010
+في الرابع الأول في الرابع التاني المساحة موجب يا
+
+597
+00:54:09,010 --> 00:54:11,650
+صاحبي باستمرار المساحة
+
+598
+00:54:15,510 --> 00:54:20,470
+الزميلة بقول كتالة شباب لو كان المثلثة دهان سالب
+
+599
+00:54:20,470 --> 00:54:27,310
+واحد و سالب واحد سالب واحد و تلاتة مو سالب واحد و
+
+600
+00:54:27,310 --> 00:54:32,210
+سالب و سالب واحد موجب واحد محتروح الإشارات مع بعض
+
+601
+00:54:32,210 --> 00:54:42,350
+يا صاحبك غير شباب نعم كيف تعمل العملية؟نفس .. نفس
+
+602
+00:54:42,350 --> 00:54:44,910
+المنطق .. نفس المنطق انت الآن الفرجت معاك ترتيب
+
+603
+00:54:44,910 --> 00:54:49,390
+النقاط ترتيب النقاط هيو .. واحد و واحد تلاتة و
+
+604
+00:54:49,390 --> 00:54:54,450
+واحد تلاتة
+
+605
+00:54:54,450 --> 00:55:00,170
+و اتنين واحد و تلاتة تمام؟ هذا الترتيب ضبط عقارب
+
+606
+00:55:00,170 --> 00:55:04,170
+الساعة هيو تطلع من هنا .. تطلع من هنا بديك إشارة
+
+607
+00:55:04,170 --> 00:55:08,350
+موجبة لو الترتيب كان اللي عندك واحد و تلاتة هيك
+
+608
+00:55:08,350 --> 00:55:14,570
+تلاتة و اتنينتلاتة و واحد و واحد و واحد انت بدأت
+
+609
+00:55:14,570 --> 00:55:21,510
+من وين هاي النقاط واحد و تلاتة هايها مصبوط و بعدين
+
+610
+00:55:21,510 --> 00:55:26,050
+تروح هيك لأن انت بتلوف مع اقارب الساعة فهتديك
+
+611
+00:55:26,050 --> 00:55:30,350
+المساحة سالبة المساحة بس انك انت الإشارة على دلالة
+
+612
+00:55:30,350 --> 00:55:38,610
+انك مشيت مع او ضد اقارب الساعة مش اكتر الله
+
+613
+00:55:38,610 --> 00:55:40,690
+يعطيك الله عفو يا شباب مفاجئين ان شاء الله
+
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/8etLCMrsViY_postprocess.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/8etLCMrsViY_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..8be6d6102572beef8f87e3c48439d092434771aa
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/8etLCMrsViY_postprocess.srt
@@ -0,0 +1,2700 @@
+1
+00:00:20,670 --> 00:00:22,830
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:22,830 --> 00:00:28,450
+اليوم احنا ان شاء الله المفروض نتكلم في ال bowler
+
+3
+00:00:28,450 --> 00:00:32,310
+system لكن قبل ما نتكلم على ال bowler system فى
+
+4
+00:00:32,310 --> 00:00:36,670
+واحد من زمالاتنا طلب مراجعة سريعة لل oiler all
+
+5
+00:00:36,670 --> 00:00:41,570
+احنا اتفقنا يا شباب سابقا ان فانا في عندى polygon
+
+6
+00:00:41,570 --> 00:00:46,290
+ال
+
+7
+00:00:46,290 --> 00:00:51,740
+polygon هذا هو عبارة عنsequence of points مجموعة
+
+8
+00:00:51,740 --> 00:00:56,460
+من النقاط المتتالية بين كل قطين في عندي خط مستقيم
+
+9
+00:00:56,460 --> 00:01:02,220
+و آخر نقطة تمام بتتصل مع النقطة الأولى عشان نكسب
+
+10
+00:01:02,220 --> 00:01:07,240
+منها سلسلة chain of points أو chain of vertices لو
+
+11
+00:01:07,240 --> 00:01:11,200
+أنا هذا shape البوليغون في الـ2D لو على البوليغون
+
+12
+00:01:11,200 --> 00:01:16,260
+هذا أنشأت الـ3D objectوغالبا بنطلق على 3D object
+
+13
+00:01:16,260 --> 00:01:19,780
+هذا اللي انبني على ال polygon بنسميه polygonal
+
+14
+00:01:19,780 --> 00:01:23,860
+object Polygonal object ايش يعني؟ يعني ان هذا
+
+15
+00:01:23,860 --> 00:01:27,680
+الشكل صار ثلاث أبعاد وأبسط مثال تخيل ان في عندك
+
+16
+00:01:27,680 --> 00:01:31,260
+مثلث وبدي اعمله ثلاث أبعاد صار المرة الماضية انها
+
+17
+00:01:31,260 --> 00:01:33,840
+أشبه بالمخروب او بالهرام او بالمنشور سميه زي ما
+
+18
+00:01:33,840 --> 00:01:39,360
+بدك وكانت المثال بسيط جدا هي المثلث هي نقاب
+
+19
+00:01:39,360 --> 00:01:44,950
+التلاتةالنقاط اللي موجودة لو افترضت ان انا في عنده
+
+20
+00:01:44,950 --> 00:01:51,690
+قوانين في البعد التالت تمام؟ بدي أوصلها صار
+
+21
+00:01:51,690 --> 00:01:55,390
+في عندي هرم مثلث الشكل وفيك تتخيل كمان لو كان هذا
+
+22
+00:01:55,390 --> 00:02:02,660
+بلجون عبارة عن مربع و بدي امدله بالاتجاهالثالث ما
+
+23
+00:02:02,660 --> 00:02:06,260
+هي تحصير في عندي مكعب مصبوب الأول في عندي Euler
+
+24
+00:02:06,260 --> 00:02:11,100
+ايش بقول بقول لأي شكل لأي polygonal object
+
+25
+00:02:11,100 --> 00:02:18,340
+polygonal object يعني بنى على polygon تمام عدد ال
+
+26
+00:02:18,340 --> 00:02:24,940
+surfaces او عدد الأوجه زائد عدد النقاط يساوي عدد
+
+27
+00:02:24,940 --> 00:02:31,720
+الحواف زائد اتنينتمام؟ الان كيف بالكلام صار تعالى
+
+28
+00:02:31,720 --> 00:02:35,920
+نطبق و نسقط على اللى موجود عندها الان هذا المثلث
+
+29
+00:02:35,920 --> 00:02:42,620
+او هذا الهرم كام نقطة فيه؟ أربعة كام
+
+30
+00:02:42,620 --> 00:02:50,640
+حافة مرسومة عندها؟ ستة ستة زائد اتنين تمانية يعني
+
+31
+00:02:50,640 --> 00:02:56,560
+عدد الوجوه للشكل هذا أربعة أسبوط تعالى نتخيل
+
+32
+00:02:56,560 --> 00:02:57,420
+المكعب
+
+33
+00:03:13,000 --> 00:03:16,360
+عليكم السلام و مرحبا كام نقطة في المكعب
+
+34
+00:03:23,670 --> 00:03:28,730
+ماشي اربعة للوجه و اربعة للوجه المربع الخلفي مصبوط
+
+35
+00:03:28,730 --> 00:03:31,890
+و اربعة بين النقاط والاربعة اللي بتتكلم عليه ماشي
+
+36
+00:03:31,890 --> 00:03:36,690
+زائد اتنين اربعة ماشي معناته كام .. كام وجه حصف
+
+37
+00:03:36,690 --> 00:03:42,310
+عندي؟ ست اوجه وهذا الكلام يطبق على اي polygonal
+
+38
+00:03:42,310 --> 00:03:47,810
+shape غالبا .. غالبا حاجة اديك زي .. ع سبيل مثال
+
+39
+00:03:47,810 --> 00:03:53,710
+سؤال العام الماضي قلتلهم هل في عندي 3Dبوليجيونال
+
+40
+00:03:53,710 --> 00:04:01,310
+object مكوّن من أربع نقاط تمام؟ هاتلي كاموجي إله
+
+41
+00:04:01,310 --> 00:04:04,990
+أنا عارف إن أنا قلت إنها كاموجي إله، لكن ما هي كل
+
+42
+00:04:04,990 --> 00:04:08,290
+الجوانب اللي شرحته، بقيت قاعد فيه يعني وبالتالي
+
+43
+00:04:08,290 --> 00:04:12,530
+تاري أنت الآن مطموض منك تقدر تتخيل ال object تبعك
+
+44
+00:04:12,530 --> 00:04:15,810
+كيب بدو يكون شكله السؤال اللي بيطرح نفسه لو قلت
+
+45
+00:04:15,810 --> 00:04:21,390
+أنا هاي في عندي كرة تقدر تقول كاموجي علقلها؟ ليش؟
+
+46
+00:04:22,130 --> 00:04:27,730
+لأن الكرة مش polygon الكرة مش polygon أو الدائرة
+
+47
+00:04:27,730 --> 00:04:39,430
+مش polygon لكن لو أديتك شكل خماسي تقدر
+
+48
+00:04:39,430 --> 00:04:47,270
+تتخيله في الـ 3D كامل نقطة
+
+49
+00:04:47,270 --> 00:04:51,100
+في النص واحدةانت بدك تعمل هرام كل شيء بيصير هرام
+
+50
+00:04:51,100 --> 00:04:58,360
+أو بيصير قمع بالنسبة إليك لأ هاي
+
+51
+00:04:58,360 --> 00:05:06,420
+أشبه بشكل خماسي في الـ3D هذه مش كرة الشكل العام
+
+52
+00:05:06,420 --> 00:05:13,880
+كرة بس مش فعلا هي مش مصطح واحد مش وجه واحد كيف
+
+53
+00:05:13,880 --> 00:05:18,910
+تاخد احداثيات هذه دي عبارة عن مجموعة من المثلثاتكل
+
+54
+00:05:18,910 --> 00:05:22,370
+واحد فيهم مراسق للتاني لحد بمستوى معين و بلف على
+
+55
+00:05:22,370 --> 00:05:26,230
+.. ببدأ ينحرف باتجاه ال object او ال axis التالت
+
+56
+00:05:26,230 --> 00:05:31,130
+طيب خلينا اليوم نتكلم على واحد من ال systems ممكن
+
+57
+00:05:31,130 --> 00:05:37,560
+يخدمي في موضوع رسم الكرة في ثلاثية الأبعادأحنا
+
+58
+00:05:37,560 --> 00:05:39,920
+اتكلمنا على الـ Cartesian System وقلنا الـ
+
+59
+00:05:39,920 --> 00:05:43,080
+Cartesian System بتكلم على الـ X و الـ Y و الـ Z
+
+60
+00:05:43,080 --> 00:05:49,620
+Axes مظبوط Axes Axes وبالتالي بتكلم على كل نقطة في
+
+61
+00:05:49,620 --> 00:05:54,820
+الـ 2D بتكلم على X و Y as a coordinate وفي الـ 3D
+
+62
+00:05:54,820 --> 00:06:00,740
+بتكلم على X و Y و Z الـ Polar System هو عبارة عن
+
+63
+00:06:00,740 --> 00:06:06,910
+نظام مكافئللـ Cartesian System لكنه لا يعتمد على X
+
+64
+00:06:06,910 --> 00:06:10,650
+و Y كقياسات او ك unit بال centimeter او بال متر
+
+65
+00:06:10,650 --> 00:06:15,170
+عيبين جسين لا يعتمد على قول لوحده بال Bonar System
+
+66
+00:06:15,170 --> 00:06:25,670
+هصير انا باتكلم على اتجاه لو انا اجاب قلتلك اوصفلي
+
+67
+00:06:25,670 --> 00:06:29,610
+مكان مبنى كليه التكنولوجيا المعلومات من مكاننا
+
+68
+00:06:29,610 --> 00:06:37,380
+الحالي ايش هتقوليه؟شمل .. شمل .. شمل .. شمل .. شمل
+
+69
+00:06:37,380 --> 00:06:47,700
+.. شمل .. شمل .. شمل .. شمل .. شمل .. شمل .. شمل
+
+70
+00:06:47,700 --> 00:06:54,640
+.. شمل .. شمل .. شمل .. شمل .. شمل .. شمل .. شمل
+
+71
+00:06:54,640 --> 00:06:55,020
+.. شمل .. شمل .. شمل .. شمل .. شمل .. شمل .. شمل
+
+72
+00:06:55,020 --> 00:06:55,480
+.. شمل .. شمل .. شمل .. شمل .. شمل .. شمل .. شمل
+
+73
+00:06:55,480 --> 00:06:55,900
+.. شمل .. شمل .. شمل .. شمل .. شمل .. شمل .. شمل
+
+74
+00:06:55,900 --> 00:06:56,720
+.. شمل .. شمل .. شمل .. شمل .. شمل .. شمل .. شمل
+
+75
+00:06:56,720 --> 00:06:57,520
+.. شمل .. شمل .. شمل .. شمل .. شمل .. شمل .. شمل
+
+76
+00:06:57,520 --> 00:06:57,980
+.. شمل .. شمل .. شمل .. شمل .. شمل .. شمل .. شمل
+
+77
+00:06:57,980 --> 00:06:58,160
+.. شمل .. شمل .. شمل .. شمل .. شمل .. شمل .. شمل
+
+78
+00:06:58,940 --> 00:07:02,980
+عند قرنبة فارس عند ورا الجامعة و بدك تروح على مبنى
+
+79
+00:07:02,980 --> 00:07:07,360
+تكنولوجيا المعلومات و بتعرف ان المبنى هذا موجود
+
+80
+00:07:07,360 --> 00:07:13,340
+شمال شرق الجامعة بتصلوه ولا بتصلهوش بناء على انه
+
+81
+00:07:13,340 --> 00:07:17,620
+انا عارف انا وين واقف و بعرف وين الاتجاه الشرق و
+
+82
+00:07:17,620 --> 00:07:20,260
+الغرب الاتجاهات الرئيسية اللي بالنسبة لي و بناء
+
+83
+00:07:20,260 --> 00:07:24,740
+عليها بقدر احدد حالي يعني لو كان واحد لو كان كامل
+
+84
+00:07:24,740 --> 00:07:29,020
+واقف و داير وجهه لغربة باتجاه البحرأيش أول خطة
+
+85
+00:07:29,020 --> 00:07:33,640
+لازم يسويها؟ لازم يستدير مظبوط عشان يتوجه باتجاه
+
+86
+00:07:33,640 --> 00:07:38,340
+الشمال الشرقي او الشمال الشرقي نعم بشكل صحيح الان
+
+87
+00:07:38,340 --> 00:07:43,560
+لما بجينا نتكلم على x و y انا في عندى سيارة او في
+
+88
+00:07:43,560 --> 00:07:49,720
+عنده نقطة على عشرة و خمسة ماكناش نتكلم على اتجاه
+
+89
+00:07:49,720 --> 00:07:56,640
+صح؟لكن لما بدأت أتكلم على الاتجاه انا صرت بأحدد
+
+90
+00:07:56,640 --> 00:08:00,140
+position تبع النقطة لكن ماكنت أتكلم على اتجاهها
+
+91
+00:08:00,140 --> 00:08:04,000
+مطلقا لكن ان خلال معرفتنا بالاربع الأربع تبع ال
+
+92
+00:08:04,000 --> 00:08:07,920
+Cartesian System صرت أنا بقدر هي موجودة وين صح؟
+
+93
+00:08:07,920 --> 00:08:14,140
+لكن كمان مرة مافيش أي صيغة واضحة تخص ال direction
+
+94
+00:08:14,140 --> 00:08:19,820
+في حين ان حديثنا احنا لبشر دائما مرتبط ان اعرف
+
+95
+00:08:19,820 --> 00:08:24,450
+الاتجاهمافيش معنى، بلاش يا سيدة العزيزة الـGDP
+
+96
+00:08:24,450 --> 00:08:27,610
+بتقولك في ال .. بتتكلم في ال .. في النشرة الجوية
+
+97
+00:08:27,610 --> 00:08:33,550
+بيقولك إن المنطقة الفلانية ستتعرض لعصفة تصل سرعة
+
+98
+00:08:33,550 --> 00:08:41,030
+الرياح فيها لـ150 كيلومتر في الساعة وبسكتوا،
+
+99
+00:08:41,030 --> 00:08:47,540
+كلام غلطلازم يحدد الاتجاه لأن اتجاه الريح بحدد
+
+100
+00:08:47,540 --> 00:08:50,700
+المنطقة المستهدفة بشكل واضح و لو احنا بنشطنا
+
+101
+00:08:50,700 --> 00:08:54,700
+الجوية البسيطة في غزة بيجي بقولك و الرياح شرقية
+
+102
+00:08:54,700 --> 00:08:59,780
+جنوبية او شرقية شمالية و هكذا تمام و البحر خفيف
+
+103
+00:08:59,780 --> 00:09:03,660
+ارتفاعنا لازم تكتمل بتحديد الاتجاه و الا بيكون
+
+104
+00:09:03,660 --> 00:09:09,080
+رسميا في عنا مشكلة في التحديد هذا طيب الآن عشان
+
+105
+00:09:09,080 --> 00:09:15,830
+اتكلم على directionتمام؟ معناته بيلزني زاوية إذا
+
+106
+00:09:15,830 --> 00:09:19,310
+أنا بيصير أتكلم على direction بيصير لزاني زاوية
+
+107
+00:09:19,310 --> 00:09:25,850
+فال polar system هو عبارة عن نظام بيعتمد على polar
+
+108
+00:09:25,850 --> 00:09:29,690
+coordinates إيش ال coordinates؟ بقولنا هي عبارة عن
+
+109
+00:09:29,690 --> 00:09:33,710
+ال value ال Cartesian coordinate كانت x و y الآن
+
+110
+00:09:33,710 --> 00:09:36,950
+ال polar coordinates اللي هي النقاط اللي بتشكل ال
+
+111
+00:09:36,950 --> 00:09:39,470
+point أو ال values اللي بتشكل ال point في ال polar
+
+112
+00:09:39,470 --> 00:09:46,830
+systemهي عبارة عن ball و fixed point و polar axis
+
+113
+00:09:46,830 --> 00:09:51,530
+العناصر تبعتي لازم يكون فيها مقطة صفر أجيس منها
+
+114
+00:09:51,530 --> 00:09:55,570
+الزاوية و دائما هذا بيعتمد على ال horizontal line
+
+115
+00:09:55,570 --> 00:10:01,990
+تمام باتجاه الموجب اللي هذا بيسميه ال polar axis
+
+116
+00:10:01,990 --> 00:10:06,810
+طيب انا الآن و الزاوية اللي عندى او ال fixed point
+
+117
+00:10:06,810 --> 00:10:11,070
+النقطة التابعة اللي عندىهاتمام؟ و بيصير اتركب
+
+118
+00:10:11,070 --> 00:10:15,970
+عليها بناء على هذه زاوية و بتقول اللي بنشتغل عليه
+
+119
+00:10:15,970 --> 00:10:24,690
+عشان هيكالاحداثيات دائما ترتبط بالاتجاه ولما انا
+
+120
+00:10:24,690 --> 00:10:29,450
+بدي احدد المدى اللي انا بديه لازم يرتبط بزاوية
+
+121
+00:10:29,450 --> 00:10:32,790
+وعلى أبسط الأمور اللي درسوا علمي ودرسوا في فيزا في
+
+122
+00:10:32,790 --> 00:10:37,990
+المقذوفات كان بيقولك لزاوية شيء أساسي عشان يتحدد
+
+123
+00:10:37,990 --> 00:10:43,960
+مكان سقوق المقذوف او مدى القذيفة اللي بدها ترسلهذا
+
+124
+00:10:43,960 --> 00:10:46,600
+الكلام بناء على إيش؟ بناء على إن المادة على الأرض
+
+125
+00:10:46,600 --> 00:10:51,120
+شكل زاوية قوة الدفع تبع المقضوف بدها تتحرك بسرعة
+
+126
+00:10:51,120 --> 00:10:54,980
+معينة وزنها إله معين وبالتالي اتحددت المادة تبعتها
+
+127
+00:10:54,980 --> 00:11:01,960
+بشكل دقيق بس بناء على الزاوية اللي موجودة عندها زي
+
+128
+00:11:01,960 --> 00:11:06,940
+إيه؟ اه
+
+129
+00:11:06,940 --> 00:11:13,490
+تمام هي الفكرةكل المقضفات الحجر لو انت بترميه
+
+130
+00:11:13,490 --> 00:11:21,210
+بيخضع لنفس ال .. لنفس الشسم القوانين توجع
+
+131
+00:11:21,210 --> 00:11:28,630
+ليش طيب الجاذبية ودوران الأرض يعني انا الآن سرعته
+
+132
+00:11:28,630 --> 00:11:31,830
+برا الخلاف الجوي غير سرعته داخل الخلاف الجوي تمام
+
+133
+00:11:31,830 --> 00:11:36,790
+فلربما صار .. لو في شيء بسيط في حسبتهم تمام مراوش
+
+134
+00:11:36,790 --> 00:11:41,710
+الفرقات هيمنته بنعمله shift بسيطغير هيك .. بالضبط
+
+135
+00:11:41,710 --> 00:11:45,670
+كمان هيك الرياح عامل مهم جدا في داخل .. في داخل
+
+136
+00:11:45,670 --> 00:11:48,310
+الغلاف الجوي على الأرض وبالتالي ممكن بتأثر .. مش
+
+137
+00:11:48,310 --> 00:11:51,610
+بتأثر .. بتأثر تأثير كبير anyway الآن احنا بدنا
+
+138
+00:11:51,610 --> 00:11:54,710
+نرجع أو بدنا نشوف تفاصيل الـ polar system اللي
+
+139
+00:11:54,710 --> 00:11:57,830
+موجود عندها أي point على ال polar system في ال
+
+140
+00:11:57,830 --> 00:12:04,450
+polar system لازم تكون محددة بشكلتها الرئيسيات ال
+
+141
+00:12:04,450 --> 00:12:11,730
+.. الطولوالزاوية الطول والزاوية اذا انا اجبتك ازاي
+
+142
+00:12:11,730 --> 00:12:17,050
+اتديتك الزاوية لوحدها عفوا الزاوية لوحدها مابتقدرش
+
+143
+00:12:17,050 --> 00:12:23,770
+تحدد الانصر يعني اجيب وقلتلك هاي نقطة الصفر وهي ال
+
+144
+00:12:23,770 --> 00:12:30,870
+axis اللي بنتكلم عليه هي نقطة الصفر تبعتنا اعمللي
+
+145
+00:12:30,870 --> 00:12:34,030
+زاوية مقدارها تلاتين درجة او خمس و تلاتين درجة
+
+146
+00:12:36,170 --> 00:12:40,410
+جدّيش فتك طول الخط؟ جدّيش الطول عشان تحدد النقطة؟
+
+147
+00:12:40,410 --> 00:12:45,070
+لأنه الآن بك تبدأ تتخيل أنه فعليا الـ polar system
+
+148
+00:12:45,070 --> 00:12:49,170
+عبارة عن دوائر
+
+149
+00:12:49,170 --> 00:12:53,790
+الآن
+
+150
+00:12:53,790 --> 00:13:00,130
+إذا أنت مادة نقولتماما مثل ما تديني ال X Axis في
+
+151
+00:13:00,130 --> 00:13:03,950
+ال Cartesian System وما تدينيش ال Y و تقولي حدد
+
+152
+00:13:03,950 --> 00:13:07,770
+النقطة هذه .. بنفع؟ يعني بنفع اش انا اقولك ارسم
+
+153
+00:13:07,770 --> 00:13:13,770
+للنقطة الخمسة ومش عارف جداش على ال Boiler System
+
+154
+00:13:13,770 --> 00:13:17,390
+او على ال Cartesian Plane .. بنفع؟ بنفعش .. بنفعش
+
+155
+00:13:17,390 --> 00:13:21,470
+ارسمها لحد ما تديني قيمة ال Y .. اديتي قيمة ال Y
+
+156
+00:13:21,470 --> 00:13:25,390
+بقدر أحطلك النقطة هذه في مكانها الصحيح كذلك على ال
+
+157
+00:13:25,390 --> 00:13:30,100
+Boiler Systemمش هينفع بأي حال من الأحوال ان انا
+
+158
+00:13:30,100 --> 00:13:33,100
+اديك زاوية بدون ما اديك طول الضلع اللى انا بدى
+
+159
+00:13:33,100 --> 00:13:36,120
+اشتغل عليه او اديك طول الضلع بدون ما احددلك
+
+160
+00:13:36,120 --> 00:13:42,340
+الزاوية الان
+
+161
+00:13:42,340 --> 00:13:46,500
+في عندى نقطين النقطة الأولى الخضرهاي او الحمرهاي
+
+162
+00:13:46,500 --> 00:13:50,740
+عفوا اللى على الخط الأخضر تلاتة طولها three units
+
+163
+00:13:50,740 --> 00:13:59,390
+والزاوية اللى صانعتها ستين درجةالنقطة أربعة و متين
+
+164
+00:13:59,390 --> 00:14:03,670
+و عشرة طول الدلع أو عفوا نقول القطر تبع الزاوية
+
+165
+00:14:03,670 --> 00:14:07,470
+نصف القطر تبع الزاوية أربعة والزاوية اللي تم
+
+166
+00:14:07,470 --> 00:14:15,050
+تشكيلها متين و عشرة من نقطة الصفردائما من خط الـ
+
+167
+00:14:15,050 --> 00:14:18,710
+horizontal line بتبدأ القياس الموجود وإذا بتذكر
+
+168
+00:14:18,710 --> 00:14:22,410
+أول ما اتعلمنا الهندس و استخدمنا علبة الهندس كانت
+
+169
+00:14:22,410 --> 00:14:26,490
+فيها المنجلة دائما نحط وين على نقطة الصفر وبناء
+
+170
+00:14:26,490 --> 00:14:30,450
+عليها قد إيش أجيس مظبوط ولا لا؟ وهذا هو نفس النظام
+
+171
+00:14:30,450 --> 00:14:35,030
+المتبع عندنا في ال polar system نعم
+
+172
+00:14:41,160 --> 00:14:46,100
+وين الواحد؟ هذه واحدة قياس واحدة يعني لو أنا جيت
+
+173
+00:14:46,100 --> 00:14:52,980
+قولتلك كتالة في عندي نقطة point واحد و zero درجة
+
+174
+00:14:52,980 --> 00:14:58,660
+وينها؟
+
+175
+00:14:58,660 --> 00:15:01,620
+هي الواحد اللي موجودة عندي هنا هي عبارة مجرد ان ال
+
+176
+00:15:01,620 --> 00:15:05,380
+measurement صارت مقاطقة مع زاوية صفر مش أكتر
+
+177
+00:15:05,380 --> 00:15:09,240
+وبالتالي
+
+178
+00:15:09,240 --> 00:15:13,810
+أنا في اتخيلالـ Polar System أو الـ Polar Plane
+
+179
+00:15:13,810 --> 00:15:18,010
+على شكل الدائرة الموجودة عندها بلاش و رايكو على
+
+180
+00:15:18,010 --> 00:15:24,810
+شكل المسطح اللي موجود عندها هي نقطة صفر هي ال L
+
+181
+00:15:24,810 --> 00:15:29,810
+Axis الزاوية صفر عليه مطابقة تماما وبعد هيك
+
+182
+00:15:29,810 --> 00:15:36,030
+الزاوية تبدأ تزيد عشان تكتمل الدائرة اللي موجودة
+
+183
+00:15:36,030 --> 00:15:36,350
+عندها
+
+184
+00:15:45,370 --> 00:15:52,690
+تحاول تطلع في الشكل اللي موجود عندي هذا دالة
+
+185
+00:15:52,690 --> 00:15:57,230
+الـ sine اللي كتبها في الأول تمام تم تحويلها من ال
+
+186
+00:15:57,230 --> 00:16:00,990
+kartesian system لل polar system واختلف الشكل
+
+187
+00:16:00,990 --> 00:16:05,930
+تماما تبعتها كمان
+
+188
+00:16:05,930 --> 00:16:15,920
+مرة لاحظ الخطوط جمعليها بحث نقصي أشبه دائرةRθ
+
+189
+00:16:15,920 --> 00:16:19,820
+تساوي sin 60 زائد 2 نرجع مرة تانية للمعادلة هي
+
+190
+00:16:19,820 --> 00:16:25,880
+المعادلة الأصلية Y تساوي sin 6x زائد 2 وبالتالي في
+
+191
+00:16:25,880 --> 00:16:31,340
+موضوع ال graphic ممكن لو انا اعتمدت على ال polar
+
+192
+00:16:31,340 --> 00:16:35,140
+system او ال polar coordinates في الرسم احصل على
+
+193
+00:16:35,140 --> 00:16:40,070
+مجموعة من الأشكالالمتناسقة وإذا بتذكر في أول slide
+
+194
+00:16:40,070 --> 00:16:43,070
+كانت في ال chapter قلتلك هذا الرسم ان عملت بال
+
+195
+00:16:43,070 --> 00:16:45,950
+polar system وهذا الرسم ان عملت بالcartesian
+
+196
+00:16:45,950 --> 00:16:51,710
+system وكل واحدة لها مزاياها هاي الآن هي معادلة
+
+197
+00:16:51,710 --> 00:17:00,530
+تانية Y تساوي خمسة sign اتنين X ولا
+
+198
+00:17:00,530 --> 00:17:05,380
+حاجة فرجت الرسم الطبيعي طبيعة ال sign هيهاالـ
+
+199
+00:17:05,380 --> 00:17:08,840
+Value مضروبة في خمسة اللي بتطلع وبالتالي المدى
+
+200
+00:17:08,840 --> 00:17:17,560
+تبعنا يتسع من سالب خمسة لخمسة لخمسة لخمسة لخمسة
+
+201
+00:17:17,560 --> 00:17:18,080
+لخمسة لخمسة لخمسة لخمسة لخمسة لخمسة لخمسة لخمسة
+
+202
+00:17:18,080 --> 00:17:18,920
+لخمسة لخمسة لخمسة لخمسة لخمسة لخمسة لخمسة لخمسة
+
+203
+00:17:18,920 --> 00:17:23,200
+لخمسة لخمسة لخمسة لخمسة لخمسة
+
+204
+00:17:23,200 --> 00:17:28,380
+لخمسة لخمسة لخمسة
+
+205
+00:17:28,380 --> 00:17:34,690
+لخاللي انا حصلت عليه وبالتالي في ال graphics او في
+
+206
+00:17:34,690 --> 00:17:37,430
+ال computer graphics ال polar system و ال polar
+
+207
+00:17:37,430 --> 00:17:43,990
+coordinates مهمات جدا احنا اتفقنا كل بساطة انه انا
+
+208
+00:17:43,990 --> 00:17:51,730
+في عندي ال polar axis اللي هو ال L يقابل ال X axis
+
+209
+00:17:51,730 --> 00:17:57,230
+بالاتجاه ال positive في عندي البولياللي هي نقطة
+
+210
+00:17:57,230 --> 00:18:01,530
+المركز تماؤها نقطة الصفر بالنسبة لي لحد القياس من
+
+211
+00:18:01,530 --> 00:18:06,130
+عندها دائما لتمثل مركز الدائرة في عند ال radius
+
+212
+00:18:06,130 --> 00:18:09,910
+نصف القطر اللي انا بدي اجيسه هو بيمثل ال
+
+213
+00:18:09,910 --> 00:18:14,930
+coordinate الأولى في ال polar point وفي عندي ال
+
+214
+00:18:14,930 --> 00:18:19,670
+angle الزاوية اللي بيطول صناعتها او رسمها هنا وهي
+
+215
+00:18:19,670 --> 00:18:25,230
+بتمثل ال coordinate التاني في مين؟في ال polar
+
+216
+00:18:25,230 --> 00:18:30,510
+point اللى موجودة عندى السؤال اللى بيطلح نفسه الآن
+
+217
+00:18:30,510 --> 00:18:36,030
+لو
+
+218
+00:18:36,030 --> 00:18:45,070
+أنا أسقطت خط مستقيم من هنا شو
+
+219
+00:18:45,070 --> 00:18:56,130
+رايكوا؟ بينفع؟ بينفع بينفع نصف القطر هي URوالزاوية
+
+220
+00:18:56,130 --> 00:19:01,210
+هي ثيتا ايش
+
+221
+00:19:01,210 --> 00:19:05,810
+اللي بيجي نص القطر حرام عليك يا راجل الان انت جازك
+
+222
+00:19:05,810 --> 00:19:10,110
+على الدائرة الكبيرة نص القطر لأ انت بتتخيلي النقطة
+
+223
+00:19:10,110 --> 00:19:13,490
+اللي انا حد قوله طول الدلق او ال R اللي اديتك
+
+224
+00:19:13,490 --> 00:19:18,870
+إياها دي بترسم دائرة غيرها نص القطر لدائرة تانية
+
+225
+00:19:18,870 --> 00:19:22,370
+تمام؟
+
+226
+00:19:22,370 --> 00:19:31,140
+تاكبر تتخيلهاالان انا باسألك اسقطت عمود انا من نصف
+
+227
+00:19:31,140 --> 00:19:37,820
+القطر اصبح في عندي مثلث قائم الزاوية ايوة تحفونها
+
+228
+00:19:37,820 --> 00:19:44,500
+و افترض انه هذي ايش قيمة هتطلع هذي هذي X لو انا
+
+229
+00:19:44,500 --> 00:19:48,920
+افترضت انه هذي هي كولا سلم هذي هي عبارة عن ال
+
+230
+00:19:48,920 --> 00:19:53,740
+Cartesian systemهك بالكتابة تتخيل الآن هذه X عفواً
+
+231
+00:19:53,740 --> 00:20:03,360
+هذه Y وهذه X ال relation ايش تساوي؟ R تربيع تساوي
+
+232
+00:20:03,360 --> 00:20:11,260
+X تربيع زائد Y تربيع معناته الـR تساوي الجذر
+
+233
+00:20:11,260 --> 00:20:17,220
+التربيعي ل X تربيع زائد Y تربيع كمان
+
+234
+00:20:20,750 --> 00:20:26,970
+بدي قيمة X أنا يا شباب ايش X تساوي؟
+
+235
+00:20:26,970 --> 00:20:34,570
+cosine of theta تمام؟ مية المية sine of theta
+
+236
+00:20:34,570 --> 00:20:39,330
+تساوي المقابل على الوتر cosine of theta تساوي
+
+237
+00:20:39,330 --> 00:20:43,790
+المجاور على الوتر كان ال theta تساوي المقابل على
+
+238
+00:20:43,790 --> 00:20:52,410
+المجاور اللي هو مين؟ X و Y مظبوط؟ تماممعناته انا
+
+239
+00:20:52,410 --> 00:21:02,750
+عندي hand tan theta تساوي y على x المقابل على
+
+240
+00:21:02,750 --> 00:21:07,630
+المجاور طب انا بدي ال theta بعد ما جيبت ال R انا
+
+241
+00:21:07,630 --> 00:21:10,950
+بدي ال theta بدي اجيب الزاوية يعني بين بصين لو
+
+242
+00:21:10,950 --> 00:21:15,010
+اديتك انا نقطة في ال Cartesian system و قلتلك
+
+243
+00:21:15,010 --> 00:21:23,920
+اربعة و تسعةاربعة ال point اربعة وتسعة في ال
+
+244
+00:21:23,920 --> 00:21:29,000
+kartesian system تمام او اربعة و تلاتة ستة عشر
+
+245
+00:21:29,000 --> 00:21:33,480
+وتسعة خمسة و عشرين انا خلّيني اربعة و تلاتة okay
+
+246
+00:21:33,480 --> 00:21:39,260
+الحسبة اسهل الان في هذا النقطة في ال kartesian
+
+247
+00:21:40,220 --> 00:21:44,760
+System حوّلني إياها لل بولر System مباشرة هذه
+
+248
+00:21:44,760 --> 00:21:49,560
+تكافئ ال R بدي أتساوي الجذر التربيع إلى أربعة
+
+249
+00:21:49,560 --> 00:21:56,480
+تربيع زائد تلاتة تربيع جذر الخمسة و عشرين تساوي
+
+250
+00:21:56,480 --> 00:22:02,640
+خمسة ال R تساوي خمسة الآن بدي أجيب الزاوية تيتا
+
+251
+00:22:02,640 --> 00:22:13,960
+تساوي ten inverse لمن لل Y على Xمش tan θ تساوي y
+
+252
+00:22:13,960 --> 00:22:19,760
+على x تمام؟ tan θ تساوي y على x بستخدم ال inverse
+
+253
+00:22:19,760 --> 00:22:23,300
+تبعتي ال tan inverse tan اللي هي tan inverse بتصير
+
+254
+00:22:23,300 --> 00:22:28,000
+θ تساوي tan inverse ل y على x و اللي هي بتتساوي
+
+255
+00:22:28,000 --> 00:22:38,820
+tan inverse ل 3 على 4 و هتديني الزاوية اللي تقريبا
+
+256
+00:22:38,820 --> 00:22:44,270
+45اللي هي ترتصم على الخط اللي موجود عندي يعني لو
+
+257
+00:22:44,270 --> 00:22:48,250
+انا قولت هي تلاتة اي اربعة هتكون تلاتة تقريبا هنا
+
+258
+00:22:51,160 --> 00:22:53,100
+على الـ Cartesian System اللي موجودة عندها
+
+259
+00:22:53,100 --> 00:22:57,300
+وبالتالي انا فعليا لما اروح باتجاه الـ Cartesian
+
+260
+00:22:57,300 --> 00:23:01,400
+System انا ما ابتدعت شغل جديد اعفن مابعدت كتير عن
+
+261
+00:23:01,400 --> 00:23:03,680
+ال .. باتجاه .. لما روحت باتجاه الـ Polar System
+
+262
+00:23:03,680 --> 00:23:06,840
+مابعدت كتير عن الـ Cartesian System وبالتالي انا
+
+263
+00:23:06,840 --> 00:23:10,880
+بقدر اي معادلة تمام مكتوبة بالـ Cartesian بناء على
+
+264
+00:23:10,880 --> 00:23:16,060
+X و Y احولها لمين؟ لـ Polar System بناء على الـR و
+
+265
+00:23:16,060 --> 00:23:19,340
+الـθتا تمام
+
+266
+00:23:31,310 --> 00:23:34,590
+القطر ممكن العكس يديني البولر ويقول احولها اكيد
+
+267
+00:23:34,590 --> 00:23:41,070
+اكيد الان هل في مجال يديني البولر ويقول احولها اه
+
+268
+00:23:41,070 --> 00:23:45,270
+ليش لأ ايش
+
+269
+00:23:45,270 --> 00:23:49,730
+يديكي البولر يعني بيقولك هي نص القطر وهي الزاوية
+
+270
+00:23:49,730 --> 00:23:57,330
+ثيتا تلاتين بيدي قيمة Y شو علاقة ال Y و ال R و
+
+271
+00:23:57,330 --> 00:24:06,710
+الثيتا ثيتا او هيكالمقابل سين ثيتا تساوي Y على R
+
+272
+00:24:06,710 --> 00:24:16,370
+.معناته Y تساوي R في سين الثيتا.طيب وال X هيها.شو
+
+273
+00:24:16,370 --> 00:24:23,630
+علاقة ال X مع ال R والثيتا؟ Cos. X تساوي R Cos
+
+274
+00:24:23,630 --> 00:24:24,310
+الثيتا.
+
+275
+00:24:27,330 --> 00:24:30,730
+وبالتالي ماعندي مشكلة في التحويل من اي system من
+
+276
+00:24:30,730 --> 00:24:34,930
+البولر للكارتيزان
+
+277
+00:24:34,930 --> 00:24:39,070
+او العكس حسب
+
+278
+00:24:39,070 --> 00:24:46,170
+النظام اللي بدك تحوله اذا اديتك بولر point احوليها
+
+279
+00:24:47,290 --> 00:24:50,170
+للـ Cartesian مش بس أديك الـR لازم أديك الـR و
+
+280
+00:24:50,170 --> 00:24:54,270
+أديك الـθيتا لأن بدونهم مش هتقبل تسوي حاجة و هطلب
+
+281
+00:24:54,270 --> 00:24:58,010
+منك ال X و ال Y و إذا أنا أديتك point في ال
+
+282
+00:24:58,010 --> 00:25:01,630
+Cartesian system يعني هديك ال X و ال Y و هقولك هتل
+
+283
+00:25:01,630 --> 00:25:04,870
+النقطة المكافئة تبعتها وين في ال polar system
+
+284
+00:25:04,870 --> 00:25:07,770
+هتجيب ال R و ال θيتا بناء على القوانين اللي
+
+285
+00:25:07,770 --> 00:25:15,650
+كتبناها و اللي هنشوفها كمان الآن نعم
+
+286
+00:25:18,060 --> 00:25:23,480
+إذا كانت المقطة Y عدد 90؟ يعني إذا كانت على .. إذا
+
+287
+00:25:23,480 --> 00:25:26,960
+كانت ال X صفر و ال Y على أي نقطة معينة، أنا بقدر
+
+288
+00:25:26,960 --> 00:25:30,600
+أعمل مُثلَف؟ تقدر تعمل مُثلَف إذا روحت باتجاه الـ
+
+289
+00:25:30,600 --> 00:25:38,220
+Z بينفع بينفع بس Z صفر مستحيل يصير مُثلَف، بتكلم
+
+290
+00:25:38,220 --> 00:25:41,260
+انت على خط واحد الآن خلال معضلق واحد، ولا عمرو
+
+291
+00:25:41,260 --> 00:25:45,740
+بصير مُثلَف الله
+
+292
+00:25:45,740 --> 00:25:46,440
+مصلي عليك يا عزيزي
+
+293
+00:25:49,700 --> 00:25:53,220
+هذا الكلام شرحناه قبل شوية مظبوط على الرسم السابق
+
+294
+00:25:53,220 --> 00:26:02,840
+نعم ترفع أصبعك هيك وتقوله تتشاهد يعني طيب الآن
+
+295
+00:26:02,840 --> 00:26:09,120
+وبالتالي ال point في ال Cartesian system XY تكافئ
+
+296
+00:26:09,120 --> 00:26:12,300
+ال point في ال polar system Sigma و Theta Sigma هي
+
+297
+00:26:12,300 --> 00:26:16,400
+نصف القطرة يا شباب مايغركاش كتير يعني Sigma او R
+
+298
+00:26:16,400 --> 00:26:23,610
+مش فارقة كتيرالمهم الفكرة وبالتالي قوانين التحويل
+
+299
+00:26:23,610 --> 00:26:29,690
+اللي بتلزمني هي هم X
+
+300
+00:26:29,690 --> 00:26:35,970
+تساوي R في cosine ثيتا Y تساوي R في sin ثيتا
+
+301
+00:26:35,970 --> 00:26:42,070
+والعكس صحيح R تساوي الجدر التربيعي ل X تربيع زي Y
+
+302
+00:26:42,070 --> 00:26:46,890
+تربيع وثيتا تساوي R كتاني اللي هي 10 inverse ل Y
+
+303
+00:26:46,890 --> 00:26:48,550
+على X
+
+304
+00:26:50,600 --> 00:26:59,280
+صعب الموضوع؟ طيب بقول ايه هاي في عندنا نقطة تلاتة
+
+305
+00:26:59,280 --> 00:27:02,180
+وأربعة تقريبا نفس المثال اللي احنا اكتبناه بس X
+
+306
+00:27:02,180 --> 00:27:06,600
+تلاتة والواحد ساوية أربعةكل تأكيد نص القطر جدش
+
+307
+00:27:06,600 --> 00:27:11,220
+تساوي شباب خمسة R تساوي الجذر التربيعي لتلاتة
+
+308
+00:27:11,220 --> 00:27:15,380
+تربية زيارة أربعة تربية تساوي خمسة ten inverse
+
+309
+00:27:15,380 --> 00:27:20,140
+لأربعة على تلاتة تقريبا تلاتة و خمسين تلاتة و
+
+310
+00:27:20,140 --> 00:27:23,620
+خمسين
+
+311
+00:27:23,620 --> 00:27:27,820
+ده
+
+312
+00:27:27,820 --> 00:27:34,320
+كمان زاويةبقول هتلي ال kartesian system او ال
+
+313
+00:27:34,320 --> 00:27:37,920
+kartesian او البولر عفوا point او البولر
+
+314
+00:27:37,920 --> 00:27:43,260
+coordinate لل kartesian point اربعة و اربعة ستة
+
+315
+00:27:43,260 --> 00:27:48,500
+عشر و ستة عشر اتنين و تلاتين معناته ال R تسوى جدر
+
+316
+00:27:48,500 --> 00:27:56,080
+اتنين و تلاتين اللي هي تقريبا اقل خمس اقرب يا ستة
+
+317
+00:27:56,080 --> 00:28:03,770
+خمسة فاصلة تقريبا ستة او فاصلة سبعةطبعا؟ لأ شوف
+
+318
+00:28:03,770 --> 00:28:06,490
+انا حتى بحاول اجهله للقيمة اللي هان و بدي بشغّل
+
+319
+00:28:06,490 --> 00:28:12,110
+بناغي خد خمسة و عشرين جدر الستة و تلاتين ستة فهتيش
+
+320
+00:28:12,110 --> 00:28:15,570
+تقوللي هذه الاتنين و تلاتين هي عبارة عن أربعة
+
+321
+00:28:15,570 --> 00:28:24,290
+مستحيل طيب الآن theta تسوى tan inverse اربعة على
+
+322
+00:28:24,290 --> 00:28:27,510
+اربعة y على x tan inverse للواحد ايش الزاوية اللي
+
+323
+00:28:27,510 --> 00:28:31,550
+تكون عندي؟ tan تبعتها واحد خمسة و أربعين
+
+324
+00:28:34,410 --> 00:28:40,490
+صعب الأمر يا شباب؟ جليهات
+
+325
+00:28:40,490 --> 00:28:43,790
+الـ Cartesian Coordinates اللي هما x و y لل point
+
+326
+00:28:43,790 --> 00:28:50,230
+اللي هي 3 والزاوية 60 يعني اه اداني ايها 3 و اداني
+
+327
+00:28:50,230 --> 00:28:58,530
+الزاوية 60 بدوا x و y الآن x تساوي 3 في cosine 60
+
+328
+00:29:00,230 --> 00:29:03,910
+كزاية الستين كده الشباب نص تلاتة على اتنين واحد
+
+329
+00:29:03,910 --> 00:29:12,010
+ونص و I بده تساوي تلاتة في sign الستين اتنين فاصلة
+
+330
+00:29:12,010 --> 00:29:19,750
+ستة لو
+
+331
+00:29:19,750 --> 00:29:24,850
+بدينا الآن نفكر انت جاعد يا دكتور بتتكلم على ال
+
+332
+00:29:24,850 --> 00:29:32,500
+bowler system بتتكلم على flatمسطحات مظبوط اشبه
+
+333
+00:29:32,500 --> 00:29:36,720
+بالـ polygons بين X و Y لأن فعليا انا بتكلم على
+
+334
+00:29:36,720 --> 00:29:39,740
+نقطة الكارتيزين تبعتها ال coordinates تبعتها اتنين
+
+335
+00:29:39,740 --> 00:29:43,640
+اللي هم X و Y و كانت المقابل لها برضه اتنين اللي
+
+336
+00:29:43,640 --> 00:29:49,540
+هم Y او R و Theta اتنين و اتنين طب لو انا كانت
+
+337
+00:29:49,540 --> 00:29:54,000
+النقطة تبعتي في الـ 3D ال point تبعتي في
+
+338
+00:29:54,000 --> 00:29:59,220
+الكارتيزين system X و Y و Zالنقطة تبعتي في الـ
+
+339
+00:29:59,220 --> 00:30:05,740
+Cartesian System X و Y و Z الان لو انا بدى اتكلم
+
+340
+00:30:05,740 --> 00:30:14,000
+ايش المقابل لها؟ ايش المقابل لها؟ R و θ و ايش؟ و θ
+
+341
+00:30:14,000 --> 00:30:19,620
+طيب القصد انه الان لو هذه الدائرة بدها تروح
+
+342
+00:30:19,620 --> 00:30:25,180
+بالاتجاه الـ 3D ايش هتصير؟ يا اما هتصير كورة يا
+
+343
+00:30:25,180 --> 00:30:29,520
+اما هتصير استوانةفي .. في أي شكل تاني ممكن يصير
+
+344
+00:30:29,520 --> 00:30:33,660
+فيه الكورة؟ لأ، يعني انت تخيل .. تخيل في نقطة
+
+345
+00:30:33,660 --> 00:30:37,820
+المركز هنا على طرف أصبعي و بدأت بكل الاتجاهات اخد
+
+346
+00:30:37,820 --> 00:30:43,500
+نصف قطر مقدار واحد .. واحد متر او واحد صنط اسميه
+
+347
+00:30:43,500 --> 00:30:48,020
+زي أيه جد ما بدك، one unitمع كل زاوية OK الزاوية
+
+348
+00:30:48,020 --> 00:30:51,580
+هذه اللي اتشكلت هي كام طب ما هي معاها مع ال Z مع
+
+349
+00:30:51,580 --> 00:30:56,800
+ال X Axis تمام طيب في ال 3D لما انا بدا .. بدي
+
+350
+00:30:56,800 --> 00:31:02,640
+أشتغل مع ال Z بدي أشتغل مع ال Z وبالتالي النقطة
+
+351
+00:31:02,640 --> 00:31:13,020
+تبعتي هان خليني بس أرجع للرسم السابق هاي
+
+352
+00:31:14,120 --> 00:31:18,780
+هدف الـ 2D، مصبوط؟ بدك الآن تشغّل مخيلتك إن هذا لو
+
+353
+00:31:18,780 --> 00:31:23,620
+في الـ 3D، وين مين هتكون؟ ممكن تكون لبرا، مصبوط؟
+
+354
+00:31:23,620 --> 00:31:26,380
+وممكن تكون هنا، ممكن تكون لتحت، ممكن تكون لفوق
+
+355
+00:31:26,380 --> 00:31:31,000
+شوية، تمام؟ وبالتالي، هذه كلها عبارة عن نقاط، لأن
+
+356
+00:31:31,000 --> 00:31:36,820
+نص القبر ثابت، نقاط على سطح الكرة أي كرة اللي
+
+357
+00:31:36,820 --> 00:31:39,720
+بتتشكل من خلال دوران
+
+358
+00:31:41,230 --> 00:31:45,210
+المحور هذا او دوران النقطة هذه على المحاور التلاتة
+
+359
+00:31:45,210 --> 00:31:49,010
+اللي موجودة عندي أنا وبالتالي لأن ما أصير اتكلم
+
+360
+00:31:49,010 --> 00:31:52,550
+على ال polar system اتكلم على ال polar system في
+
+361
+00:31:52,550 --> 00:31:57,170
+ال 3D بتكلم على حالة من تمتين اما بتكلم على
+
+362
+00:31:57,170 --> 00:32:01,590
+spherical system اللي هو الكرة او بتكلم على
+
+363
+00:32:01,590 --> 00:32:06,830
+cylindrical على شكل الأسطوانة تعرف ده مع ال
+
+364
+00:32:06,830 --> 00:32:09,970
+spherical ال spherical من السفير يا شباب اللي هي
+
+365
+00:32:09,970 --> 00:32:18,580
+الكرةالنقبة اللي كانت كارتيزين كواردينيتز تبعتها X
+
+366
+00:32:18,580 --> 00:32:23,680
+وY وZ هتصير كارتيزين كواردينيتز تبعتها R رصف القطر
+
+367
+00:32:23,680 --> 00:32:26,160
+و فاي و ثيتا
+
+368
+00:32:30,040 --> 00:32:34,780
+زاوية رمز لأي زاوية جديدة يعني هصير نص القطر ثابت
+
+369
+00:32:34,780 --> 00:32:39,280
+و زاويتين لأن انت تخيل الكرة تخيل الكرة انا فعليا
+
+370
+00:32:39,280 --> 00:32:42,260
+هي الدائرة المرسولة قدامي ال center موجود و نص
+
+371
+00:32:42,260 --> 00:32:46,980
+القطر ثابت صح؟ لو انا حركت الدائرة هذه باتجاه بسيط
+
+372
+00:32:46,980 --> 00:32:52,710
+هيكفي كل مرة انا بلف الدائرة لما تسكر مع بعض هيصار
+
+373
+00:32:52,710 --> 00:32:56,330
+في عندي كرة بس في ال service تبعتها من فوق ومن تحت
+
+374
+00:32:56,330 --> 00:33:00,750
+تقريبا مع ال X مع ال Y مفتوحة ايش هتمرها هساوي؟
+
+375
+00:33:00,750 --> 00:33:04,350
+بعد ما يجيبك هلفها مش شكلها ده عشان تسكر هذه
+
+376
+00:33:04,350 --> 00:33:08,510
+الدورانات انه كل نقطة كامل في الكرة مشكلة محمد
+
+377
+00:33:08,510 --> 00:33:14,870
+الباز انت و جاسم بمصف القطر و زاويتين مظبوط؟ ان
+
+378
+00:33:14,870 --> 00:33:16,070
+شاء الله يكون مظبوط نعم كامل
+
+379
+00:33:21,250 --> 00:33:25,850
+أيوة الان يا شباب كل .. كل او more than تك .. شوف
+
+380
+00:33:25,850 --> 00:33:29,570
+لما كنت بتك .. التكامل لمرة واحدة او لمرتين حسب
+
+381
+00:33:29,570 --> 00:33:33,610
+الرتبة تبع التكامل اللي عندي كنت انا في حاليات
+
+382
+00:33:33,610 --> 00:33:39,530
+بنتقل بمخيلتي من ال 2D ل ال 3D ل ال 4D حسب اللي
+
+383
+00:33:39,530 --> 00:33:43,250
+بيكون الأشك في الآخر .. في الآخر خلينا بكل بساطة
+
+384
+00:33:43,250 --> 00:33:46,170
+لأن فينا ناس قادر بنبعد عن التكامل اللي انا بقوله
+
+385
+00:33:46,170 --> 00:33:52,430
+بدك توسع مخيلتك الآنهي نص القطر ثابت بصبوت الان هي
+
+386
+00:33:52,430 --> 00:33:58,810
+نص القطر وين رأس القلم هذا موجود؟ عبارة عن نقطة
+
+387
+00:33:58,810 --> 00:34:05,170
+على وين؟على اي محور اذا كان لدي X وY وZ يا صاحبي
+
+388
+00:34:05,170 --> 00:34:11,050
+انا الان بدي احاول احكيهم مع ال X وY وZ وإن لديكم
+
+389
+00:34:11,050 --> 00:34:14,730
+رأس القلم هذا موجود هو عبارة عن نقطة في سطح الكرة
+
+390
+00:34:14,730 --> 00:34:20,020
+نقطة في سطح الكرة وانا عندي قياس واحد فقطبجيس
+
+391
+00:34:20,020 --> 00:34:24,080
+الزاوية من مين؟ من الـ X-axis مش احنا لما طبقنا
+
+392
+00:34:24,080 --> 00:34:28,600
+الـ axial system مظبوط او الـ polar axis كله عبارة
+
+393
+00:34:28,600 --> 00:34:34,580
+عن X بتقل X ال bark بتجاه الـ X positive، مظبوط؟
+
+394
+00:34:34,580 --> 00:34:38,210
+طيب الآن المحور الزاوية التالية بتكون وين؟و انا يا
+
+395
+00:34:38,210 --> 00:34:41,510
+عزيزي الخضر و انا الكون في الـ3D على المحور التالت
+
+396
+00:34:41,510 --> 00:34:45,350
+اللي هو الـZ الـY مالوش وجود الآن عندي الـY اتحول
+
+397
+00:34:45,350 --> 00:34:50,770
+لcircles دوائر مظبوط الـY مثلته الـθيتا قبل شوية
+
+398
+00:34:50,770 --> 00:34:56,570
+الآن الـZ بدو يتمثل كمان بزاوية جديدة لأنه دائما
+
+399
+00:34:56,570 --> 00:35:02,390
+نصف القطر ثابت وبناء على هيك ايش اللي هيتغير عندي
+
+400
+00:35:02,390 --> 00:35:09,270
+بدك تبدأ تتخيل النقطةلما كانت النقطة هيها محصورة
+
+401
+00:35:09,270 --> 00:35:13,190
+بين X
+
+402
+00:35:13,190 --> 00:35:18,950
+و Y لما كانت النقطة محصورة بين X و Y هي X وهي Y
+
+403
+00:35:18,950 --> 00:35:23,550
+وهي النقطة تبعتي ايش كانت؟ كانت في كل بساطة ال R
+
+404
+00:35:23,550 --> 00:35:27,330
+تساوي كزاير
+
+405
+00:35:27,330 --> 00:35:31,790
+ال R ال R تساوي لما كانت النقطة محصورة بين الاتنين
+
+406
+00:35:31,790 --> 00:35:36,860
+ايش ال R كانت تبعتي تساوي؟ الجدر الترمي ايه؟للـ X
+
+407
+00:35:36,860 --> 00:35:39,700
+تربيع زي الـ Y تربيع طب الآن النقطة صارت موجودة
+
+408
+00:35:39,700 --> 00:35:44,940
+بين الاتنين في الـ 3D ايش بتصير فيها عندي؟ زائد زي
+
+409
+00:35:44,940 --> 00:35:50,220
+التربيع زائد زي التربيع تماما هتمدنا عليه على
+
+410
+00:35:50,220 --> 00:35:53,380
+المسافة بين النقطتين في الـ 2D وفي الـ 3D مش انا
+
+411
+00:35:53,380 --> 00:35:56,980
+بدي بنص في القطر بين نقطتين وبالتالي مافيش عندي
+
+412
+00:35:56,980 --> 00:36:03,080
+مشكلة الآن ضغط المشكلة في مين؟ في الزوايا اللي
+
+413
+00:36:03,080 --> 00:36:07,280
+عندي يعني انا هوايت الآنبقى حول جهد من الـ
+
+414
+00:36:07,280 --> 00:36:13,120
+Cartesian لبولر قلت ال R تساوي X الجدر التربيعي ل
+
+415
+00:36:13,120 --> 00:36:19,380
+X تربيع زي أدوار تربيع زائدزي التربيع وبما ان نقطة
+
+416
+00:36:19,380 --> 00:36:23,440
+الصفر هي النقطة الأساس فهتكون عندي فعليا X مقص صفر
+
+417
+00:36:23,440 --> 00:36:28,080
+لكل تربيع زائد Y مقص صفر لكل تربيع زائد Z مقص صفر
+
+418
+00:36:28,080 --> 00:36:31,460
+لكل تربيع مصبوط الفرق بين نقطتين او ال distance
+
+419
+00:36:31,460 --> 00:36:35,380
+بين نقطتين في ال 3D النقطة الأولى عندي نقطة الأصل
+
+420
+00:36:35,380 --> 00:36:41,280
+صفر و صفر و صفر الآن بما انه انا باتكلم على
+
+421
+00:36:41,280 --> 00:36:44,800
+الزاوية التانية في عندي زاوية تانيةفي عندي زاوية
+
+422
+00:36:44,800 --> 00:36:51,880
+محصورة ما بين ال Z وال Y و
+
+423
+00:36:51,880 --> 00:37:03,480
+زاوية محصورة بين Z والR
+
+424
+00:37:09,170 --> 00:37:13,470
+الـ X والـ R اللي هو القطر يعني الآن هي ال X وجدت
+
+425
+00:37:13,470 --> 00:37:16,170
+الزاوية هيك كم زاوية مشكلة عندي أنا الآن يا شباب
+
+426
+00:37:16,170 --> 00:37:21,530
+او هيك تخيل هي النقطة اللي عندي 00 و الخط الأزرق
+
+427
+00:37:21,530 --> 00:37:28,150
+هذا هو بيمثل ال L ال axis وهي نصف القطر اللي عندي
+
+428
+00:37:28,150 --> 00:37:32,130
+هي و هيك كم زاوية موجودة عندي هنا انا فعليا عندي
+
+429
+00:37:32,130 --> 00:37:37,440
+هي واحدة وهنا في عندي كمان واحدةمصبوط؟ مع نصف
+
+430
+00:37:37,440 --> 00:37:41,320
+القدر اتشكلت اللي عندي هنا وبالتالي تيتا او عفوا
+
+431
+00:37:41,320 --> 00:37:48,440
+الفا .. لا مش الفا .. فاي الفايتو ساوي cosine
+
+432
+00:37:48,440 --> 00:37:56,820
+inverse لزبد على .. على R لأنها
+
+433
+00:37:56,820 --> 00:37:59,720
+طلعت من تجاه الزبد الزاوية اللي عندي طب ليش ال
+
+434
+00:37:59,720 --> 00:38:06,060
+cosine يا شباب؟لأن المجاور صار في عمدي ميل ال R هي
+
+435
+00:38:06,060 --> 00:38:14,540
+المجاور و ال theta تساوي R كتير مابغيرتش لإن هي
+
+436
+00:38:14,540 --> 00:38:19,200
+محصورة ما زالت بين ال X و
+
+437
+00:38:19,200 --> 00:38:30,280
+ال Y لو أنا أجيت خلينا بالمثال البسيط هذا تلاتة و
+
+438
+00:38:30,280 --> 00:38:31,100
+أربعة و صفر
+
+439
+00:38:35,330 --> 00:38:40,830
+يعني الآن انا عندي R تساوي الجذر التربيعي ل X
+
+440
+00:38:40,830 --> 00:38:49,410
+تربيع Y تربيع و Z تربيع فاي تساوي احنا قولنا مافيش
+
+441
+00:38:49,410 --> 00:38:53,410
+محور تالت المحور التالت الآن هو عبارة عن زاوية
+
+442
+00:38:53,410 --> 00:39:00,070
+زاوية بيعملها نصف القبر بكل اتجاهات انت تخيلالـ ..
+
+443
+00:39:00,070 --> 00:39:03,330
+تخيل فيه ولد ماسك مجلع و رابط فيه حجر و واحد بلف
+
+444
+00:39:03,330 --> 00:39:07,310
+فيه .. الآن لو حاول يثبت يلفه لهيك .. بتصير
+
+445
+00:39:07,310 --> 00:39:11,830
+الدائرة تتشكل أمامك .. بحرف زاوية إيده شوية ..
+
+446
+00:39:11,830 --> 00:39:15,370
+بتصير بالجنب .. اتضال يلف فيه .. بتصير فعليا انت
+
+447
+00:39:15,370 --> 00:39:19,690
+قاعد تتكلم على .. نبدأ نصير نتكلم انه تشكل كرة ..
+
+448
+00:39:19,690 --> 00:39:26,780
+بشكل كرة .. يا سيد البلاش .. الناس ال .. ال ..سلك
+
+449
+00:39:26,780 --> 00:39:29,920
+الجلة تبع رمضان برضه في اتجاه واحد، هو نفس الفكرة،
+
+450
+00:39:29,920 --> 00:39:33,920
+لكن بدي أجيلك شغله أكتر، الإلكترونات حول الذرع لما
+
+451
+00:39:33,920 --> 00:39:39,160
+بتدور، بتدور في بداراتده ثابتة، كل الالكترون بتقول
+
+452
+00:39:39,160 --> 00:39:43,340
+مداره خاص، مظبوط؟ اتخيل كل المدارات أو كل
+
+453
+00:39:43,340 --> 00:39:47,100
+الالكترونات هذه على نفس البعد، لو انها بتدور كلها
+
+454
+00:39:47,100 --> 00:39:51,380
+على نفس النقطة، بتصير في بينهم اتصادم، لكن تخيل ان
+
+455
+00:39:51,380 --> 00:39:54,700
+كل واحد فيه انه مرسوم فريقه وانه سرعته الخاصة،
+
+456
+00:39:54,700 --> 00:39:58,660
+تمام؟ وبالتالي، كلهم لو اتخيلت كلهم مع بعض، لما
+
+457
+00:39:58,660 --> 00:40:04,040
+بيتوحدوا، بيعملوا نقاش، ده كرة حولين اللي موجودة
+
+458
+00:40:04,040 --> 00:40:07,420
+عندهاأنا مش عارف إيش ضالة دي اللي بيبقى كامثلة بعد
+
+459
+00:40:07,420 --> 00:40:16,740
+هيك المجموعة الشمسية نعم دائرة اه
+
+460
+00:40:16,740 --> 00:40:19,920
+بس
+
+461
+00:40:19,920 --> 00:40:27,180
+هو احنا الآن x و y كانت flat أو plain مسطحات لما
+
+462
+00:40:27,180 --> 00:40:31,000
+.. لما صاروا كريش و بدأ يكبر نضارة لعمق تبعه او
+
+463
+00:40:31,000 --> 00:40:34,640
+حجمه او ما شابه بدأنا نتكلم في الـ 3D الان هذا
+
+464
+00:40:34,640 --> 00:40:43,590
+مربعهذا المربع ما صار مكعب إلا لما ببعش العمق تبعه
+
+465
+00:40:43,590 --> 00:40:47,710
+يزيد بصبور؟ احنا لكن لما بنرسمه على اللوح كمان
+
+466
+00:40:47,710 --> 00:40:51,990
+بنرسمه 2D بصبور؟ لإن مافيش مجال انا أرسمه إلا أروح
+
+467
+00:40:51,990 --> 00:40:55,330
+أجيبك صندوق وأقولك اتفضل هاي الكرتونة هذه عبارة عن
+
+468
+00:40:55,330 --> 00:41:02,590
+مكعب كذلك الكرة أو الدائرة الدائرة الآن في الـ3Dأو
+
+469
+00:41:02,590 --> 00:41:07,290
+عارفاً في الـ 2D مافيش مجال دائرة إذا بدت تطلع في
+
+470
+00:41:07,290 --> 00:41:11,130
+الـ 3D بتطلع بواحدة من الحالتين إما بتطلع بصطوانة
+
+471
+00:41:11,130 --> 00:41:16,430
+تمام؟ أو بدها الصطوانة هادة .. الكرة هادة ..
+
+472
+00:41:16,430 --> 00:41:21,350
+الدائرة بتصير إيش؟ عبارة عن كرة وهفيش غير هيك
+
+473
+00:41:21,350 --> 00:41:27,090
+الحالتين هدول طبعا حالة الصطوانة أسهل ليش؟ عشان
+
+474
+00:41:27,090 --> 00:41:31,860
+الزبد دول ثابتةلأ لما الصفر بيبقى قيمة ثابتة ..
+
+475
+00:41:31,860 --> 00:41:35,280
+لما أتكلم على طول الأسطوانة أو رتفعة الأسطوانة ..
+
+476
+00:41:35,280 --> 00:41:40,500
+بظبط؟ بينما الكرة .. شوية تخيلتها صعبة في البداية
+
+477
+00:41:40,500 --> 00:41:43,560
+.. ولا عشان .. الكتاب و احنا .. اه .. بدك تصير
+
+478
+00:41:43,560 --> 00:41:46,400
+تتخيل أن النقطة هذه ممكن تكون هذه .. ممكن تكون في
+
+479
+00:41:46,400 --> 00:41:49,120
+جنبها .. فلحظة مليارات بين كل نقطة و التانية ..
+
+480
+00:41:49,120 --> 00:41:52,360
+لكن الفرق مايعيش بالزاوية دائما .. الزاويتين اللي
+
+481
+00:41:52,360 --> 00:41:55,080
+بتشكلوا باستمرار .. نعم
+
+482
+00:41:58,850 --> 00:42:09,030
+لنص القطر كنت أكيد ايش حجم القرة هو اربعة
+
+483
+00:42:09,030 --> 00:42:13,830
+على تلاتة
+
+484
+00:42:13,830 --> 00:42:18,910
+by R تكعيب بغض النظر كانت القانون صح ولا غلط اللي
+
+485
+00:42:18,910 --> 00:42:22,070
+انا بدي اياه يا بس شباب القيمة هذه ثابتة و القيمة
+
+486
+00:42:22,070 --> 00:42:26,190
+هذه ثابتة مين اللي بتغير قيمة ال R وإذا تغيرت ال R
+
+487
+00:42:26,190 --> 00:42:31,620
+تغير الحجم بسهو كان تلاتة على أربعة أو أربعة على
+
+488
+00:42:31,620 --> 00:42:36,260
+تلاتة مش قضية كتير بالنسبالنا ماشي الحال شباب طيب
+
+489
+00:42:36,260 --> 00:42:41,240
+نرجع كمان مرة انا بدي احاول .. بديك تتخيل
+
+490
+00:42:41,240 --> 00:42:48,920
+الزاويتين كمان مرة شباب هي
+
+491
+00:42:48,920 --> 00:42:55,760
+ال L وهي نقطة الصفر اللي أنا بتكلم عليها الآن لما
+
+492
+00:42:55,760 --> 00:43:00,520
+كنت أنا بتكلمفي الـ 2D وحوّيته له polar system صرت
+
+493
+00:43:00,520 --> 00:43:06,560
+أتكلم على نصف قطر وزاوية هي الزاوية مصبوط؟ الآن ..
+
+494
+00:43:06,560 --> 00:43:10,100
+الآن لو أنا فعليا ثبتت هذا على اللوحة وعملت
+
+495
+00:43:10,100 --> 00:43:14,600
+الزاوية هاي كام زاوية شكلت عندى؟ زاويتين زاوية
+
+496
+00:43:14,600 --> 00:43:19,270
+فعليا موجودة ما زالتبين الـ X و القطر اللي موجود
+
+497
+00:43:19,270 --> 00:43:22,690
+عندى هون X و Y و الزاوية اللى شكلها نصف القطر مع
+
+498
+00:43:22,690 --> 00:43:27,550
+مين؟ مع الـ Z مع البقد التالت إذا كنت تتخيل هذا
+
+499
+00:43:27,550 --> 00:43:33,370
+الكلام مانا تسهل عليك تذكر القوانين تبعت السؤال و
+
+500
+00:43:33,370 --> 00:43:38,410
+أنا فعليا بتكلم على مجاور و مقابل مع ال cosine مع
+
+501
+00:43:38,410 --> 00:43:42,330
+ال .. عفوا مع ال R ال R حصلت على مين؟ على قيمة ال
+
+502
+00:43:42,330 --> 00:43:51,600
+R R تساوي .. و قولنا هنا ال cosineانفرس لا زب على
+
+503
+00:43:51,600 --> 00:43:56,740
+R و
+
+504
+00:43:56,740 --> 00:44:05,500
+في عندي ثيتا تساوي tan inverse ل
+
+505
+00:44:05,500 --> 00:44:06,580
+Y على X
+
+506
+00:44:11,580 --> 00:44:15,860
+R تساوي تلاتة تربيع أربعة تربيع صفر تربيع تحت
+
+507
+00:44:15,860 --> 00:44:22,620
+الجذر خمسة لأن فاي تساوي cosine inverse لصفر على
+
+508
+00:44:22,620 --> 00:44:27,840
+خمسة صفر cosine inverse لصفر تسعين درجة تسعين
+
+509
+00:44:27,840 --> 00:44:28,300
+تسعين تسعين تسعين تسعين تسعين تسعين تسعين تسعين
+
+510
+00:44:28,300 --> 00:44:29,280
+تسعين تسعين تسعين تسعين تسعين تسعين تسعين تسعين
+
+511
+00:44:29,280 --> 00:44:37,680
+تسعين تسعين تسعين تسعين تسعين ت
+
+512
+00:44:41,710 --> 00:44:46,430
+كيف شكلت السطوانة؟ كيف خدت شكلت السطوانة؟ و ان
+
+513
+00:44:46,430 --> 00:44:57,530
+المشكلة و ان المشكلة زودها مع ال Z 90 دائما اذا
+
+514
+00:44:57,530 --> 00:45:05,150
+قلنا اذا قلنا الزاوية بتلقى او عفوا cylindrical
+
+515
+00:45:05,150 --> 00:45:17,440
+تمام سطوانة هصير اتكلم على Rو theta و z كما هي ليش
+
+516
+00:45:17,440 --> 00:45:24,180
+كمان مرة هي الدائرة وهي ال center تبعتها عشان تصير
+
+517
+00:45:24,180 --> 00:45:33,840
+الصطوانة بدي ازيد ال z مع من زي 96 مع ناس في القطر
+
+518
+00:45:33,840 --> 00:45:35,780
+حرام عليك مع ناس في القطر صفر زاويته
+
+519
+00:45:38,640 --> 00:45:43,720
+الان الزاوية الزاوية بين نص القطر تمام مع ال z
+
+520
+00:45:43,720 --> 00:45:54,540
+axis صفر وبالتالي انت تخيل هيها لحظة شوية انا بدى
+
+521
+00:45:54,540 --> 00:46:06,780
+احاول ارسم دائرة اكبر شوية center
+
+522
+00:46:08,880 --> 00:46:14,840
+تقريبا هاي نصف القطر لان لما انا بده ابدأ احركه
+
+523
+00:46:14,840 --> 00:46:23,140
+هيك هده بس اتجاه عشان يصير كرة مع كل second من
+
+524
+00:46:23,140 --> 00:46:27,980
+الزاوية بدي اعمل زاوية تانية لحد ما يش تصير قايمة
+
+525
+00:46:27,980 --> 00:46:32,120
+واحدة منهم لكن لو انا قلتلك الذبط هتكون زاوية
+
+526
+00:46:32,120 --> 00:46:35,600
+بتباتة صفر دائما هاي الزاوية اللي عندى هاي اكسرت
+
+527
+00:46:35,600 --> 00:46:42,720
+الصوانةأسطوانة مجوفة نصف قطرها R الزاوية اللي
+
+528
+00:46:42,720 --> 00:46:48,120
+موجودة عشان تصنع الدائرة .. عشان تصنع الدائرة مع
+
+529
+00:46:48,120 --> 00:46:53,140
+نصف القطر هان هايها هاد ثيتا لكن الزاوية اللي هان
+
+530
+00:46:53,140 --> 00:46:56,920
+أنا مافيش عندي زاوية أنا قاعد بأكبر باتجاه الزبد
+
+531
+00:46:56,920 --> 00:47:01,040
+يعني أنا بشتغل على الصفر مع الزبد وبالتالي بتبقى
+
+532
+00:47:01,040 --> 00:47:05,060
+الأسطوانة عندي إيش مجوفة anyway
+
+533
+00:47:06,650 --> 00:47:10,210
+عندك هتشوفها او في الـ cylindrical system هتشوف
+
+534
+00:47:10,210 --> 00:47:13,950
+النظام طب لو انا بدي اشتغل العكس الآن شباب لو انا
+
+535
+00:47:13,950 --> 00:47:23,590
+بدي اشتغل العكس احنا شوفنا على
+
+536
+00:47:23,590 --> 00:47:33,450
+ال cylindrical الخلف هاي النقطة اللي عندي النقطة
+
+537
+00:47:33,450 --> 00:47:42,690
+في ال 3D اللي هيقيمة الـ X تبعتها هي وقيمة
+
+538
+00:47:42,690 --> 00:47:47,330
+الـ Y وقيمة
+
+539
+00:47:47,330 --> 00:47:54,970
+الـ Z إذا هو راح أطالي قال هاي في عندك R و Phi
+
+540
+00:47:54,970 --> 00:48:02,050
+وθيتا كزواية وθيتا
+
+541
+00:48:02,050 --> 00:48:06,110
+او عفوا Phi تساوي
+
+542
+00:48:07,850 --> 00:48:20,410
+R Cos Inverse ل
+
+543
+00:48:20,410 --> 00:48:31,070
+Z على R و Phi أو عفن و Theta تساوي Tan Inverse Y
+
+544
+00:48:31,070 --> 00:48:34,510
+على X لان انا مابدي اشتغل العكس هم ادين الزوايا
+
+545
+00:48:34,510 --> 00:48:42,150
+مابدي X و Y و Zتمام؟ X شو هتساوي؟
+
+546
+00:48:42,150 --> 00:48:50,110
+هاي ال X محصورة بين زويتين اللي هم θيتا و في
+
+547
+00:48:50,110 --> 00:48:58,610
+معناته ال X بدها تساوي R في sin في في cosine ثيتا
+
+548
+00:49:04,160 --> 00:49:14,820
+R فى sin فاى كزاين ثيتا sin ثيتا و ال Z R فى كزاين
+
+549
+00:49:14,820 --> 00:49:20,180
+فاى السهل هو ان تكون ال Z بالنسبة لنا لانه خد
+
+550
+00:49:20,180 --> 00:49:24,460
+كزاين و ال Z بيه تسوي R فى كزاين وعلى نفس القوانين
+
+551
+00:49:24,460 --> 00:49:28,180
+اللى موجودة عندنا هنا بس فهنا فعليا انا محتاج لل
+
+552
+00:49:28,180 --> 00:49:36,000
+tan tan inverse او tan ثيتا تساوي Yعلى X طيب ما هي
+
+553
+00:49:36,000 --> 00:49:40,520
+الـ Time تساوي إيش؟ Sine كزاين Sine على كزاين J
+
+554
+00:49:40,520 --> 00:49:56,720
+على جتا وبالتحليل هنصل للقوانين الموجودة عندها في
+
+555
+00:49:56,720 --> 00:49:57,820
+الـ cylindrical system
+
+556
+00:50:00,910 --> 00:50:05,990
+cylindrical system انا فعليا في عندى دائرة من ال X
+
+557
+00:50:05,990 --> 00:50:09,010
+و ال Y زى اللى رصلناها قبل شوية فى تتخيل الآن يا
+
+558
+00:50:09,010 --> 00:50:12,890
+خضر هذا الاسطوانة بدي ألفها بحيث ان ال Z يكون
+
+559
+00:50:12,890 --> 00:50:18,870
+الخارج باتجاهكه دائما الزاوية اللى بيعملها نصف
+
+560
+00:50:18,870 --> 00:50:26,010
+القطر على ال Z صفر او بين جوسين تتخيلوا نصف القطر
+
+561
+00:50:26,010 --> 00:50:33,290
+انت دائمامتعمد على ال X axis و تنسالي منين عفر على
+
+562
+00:50:33,290 --> 00:50:37,010
+ال Z axis و تنسالي المحورين التانيات بدأ من نقطة
+
+563
+00:50:37,010 --> 00:50:42,270
+الصفر و بدأ يش يلف حوالين ال axis لها الآخر نعم
+
+564
+00:50:42,270 --> 00:50:54,780
+على ال X axis تمام عرفت القطر لا يا صاحبي ال Xالـ
+
+565
+00:50:54,780 --> 00:51:00,340
+Z متعمد على الـ X والـ Y على المسطح مش على X
+
+566
+00:51:00,340 --> 00:51:05,140
+لحالها ولا على Y لحالها على المسطح اذا انت بتقوللي
+
+567
+00:51:05,140 --> 00:51:10,100
+انه انا الآن الزاوية هادي او ال R هادي او بلاش ان
+
+568
+00:51:10,100 --> 00:51:14,300
+الـ Z X متعمد على الزاوية بقولك صحنية في المية
+
+569
+00:51:14,300 --> 00:51:18,040
+تمام؟
+
+570
+00:51:18,040 --> 00:51:23,200
+الـ Z متعمد تماما على الدائرة هذه طيب عشان نشكل
+
+571
+00:51:23,200 --> 00:51:28,480
+اسطوانةماذا أريد أن أفعل؟ تتخيل إنه صارت دائرة هنا
+
+572
+00:51:28,480 --> 00:51:32,020
+و بعيد من اللي صارت دائرة جنبها و ملاصقة و ملاصقة
+
+573
+00:51:32,020 --> 00:51:35,400
+و ملاصقة و قد تلوش إذا أنت بتتكلم إنه فعليا نصف
+
+574
+00:51:35,400 --> 00:51:38,620
+القطر هدهيك متعامد على X هذا كان جزء كخبر بيكون
+
+575
+00:51:38,620 --> 00:51:42,340
+صحيح بس تقول إن البداية فعليا هدهيك متعامد على
+
+576
+00:51:42,340 --> 00:51:47,920
+الزبد في الكورة لأ في ال .. في ال .. في ال .. في
+
+577
+00:51:47,920 --> 00:51:48,680
+ال .. في ال .. في ال .. في ال .. في ال .. في ال ..
+
+578
+00:51:48,680 --> 00:51:48,940
+في ال .. في ال .. في ال .. في ال .. في ال .. في ال
+
+579
+00:51:48,940 --> 00:51:49,000
+.. في ال .. في ال .. في ال .. في ال .. في ال .. في
+
+580
+00:51:49,000 --> 00:51:49,780
+ال .. في ال .. في ال .. في ال .. في ال .. في ال ..
+
+581
+00:51:49,780 --> 00:51:54,180
+في ال .. في ال ..
+
+582
+00:51:55,390 --> 00:51:56,310
+حسب الـ Sphere
+
+583
+00:51:59,540 --> 00:52:03,700
+النقطة ثابتة والزاول نصف القطر بلفه بكل اتجاهات
+
+584
+00:52:03,700 --> 00:52:08,560
+لكن مع الاستوانة نصف القطر بدأ ملاسق للـ0 و0 تمام
+
+585
+00:52:08,560 --> 00:52:13,320
+وبدأ يطلع لبرا بدأ ترتفع ترتفع قيمته الذد او بينجو
+
+586
+00:52:13,320 --> 00:52:17,600
+سينسر ترتب مجموعة من الاستوانات المتلاسقة مع بعضهم
+
+587
+00:52:17,600 --> 00:52:21,500
+وفعليا هذا كلامك هيك بينطبق بقدر اقولك اه ان نصف
+
+588
+00:52:21,500 --> 00:52:26,320
+القطر تبع الدائرة الآن او تبع الاستوانة متعامد على
+
+589
+00:52:26,320 --> 00:52:28,660
+الذد فقط بس بالكورة لأ نعم
+
+590
+00:52:33,830 --> 00:52:38,270
+بين مين و مين؟ ال Z و ال R في أيه؟ وين؟ هنا؟
+
+591
+00:52:38,270 --> 00:52:44,390
+المحاولة طبيعي طبيعي مع أسطوانة يا شباب طبيعي يا
+
+592
+00:52:44,390 --> 00:52:48,710
+شباب إذا أنا كنت بتكلم على أسطوانة، تمام؟ الأن
+
+593
+00:52:48,710 --> 00:52:54,690
+الأسطوانة هذه بعدها التالت ماظهر إلا H، مصبوط؟ حجم
+
+594
+00:52:54,690 --> 00:53:05,470
+الأسطوانة حجم الأسطوانة by R تربيع في HBy R تربيعي
+
+595
+00:53:05,470 --> 00:53:11,090
+في H هذا ال volume تبع الأسطوانة تمام مساحة
+
+596
+00:53:11,090 --> 00:53:15,990
+القاعدة في الارتفاع مساحة القاعدة في الارتفاع مش
+
+597
+00:53:15,990 --> 00:53:18,210
+تلاتة بقى مش تلاتة على أربعة أو أربعة بيتك عيب
+
+598
+00:53:18,210 --> 00:53:27,350
+ماتجيبتش السؤال؟ كم ماتجيبتش السؤال؟ مش
+
+599
+00:53:27,350 --> 00:53:31,690
+اللي الساعة بتقول جاعدين الشبابهي المحور هى المحور
+
+600
+00:53:31,690 --> 00:53:35,630
+زد هى الدائرة تبعتى وهى المصف القطر هذا ايش
+
+601
+00:53:35,630 --> 00:53:39,410
+الزاوية المصنوعة بينهم طب و ليش بتعيد السؤال تانى
+
+602
+00:53:39,410 --> 00:53:42,790
+يعني انا بتقول ماديوابتوش مافهمتش عليا حاضر قولي
+
+603
+00:53:42,790 --> 00:53:51,670
+عيد ماتقوليش ماديوابتش السؤال طيب نعم هذا
+
+604
+00:53:51,670 --> 00:53:57,710
+اه طيب استنى شوية استنى
+
+605
+00:54:05,300 --> 00:54:15,680
+هو الـ spherical system طيب
+
+606
+00:54:15,680 --> 00:54:20,740
+اعتقد ان في شكل تاني ممكن يكون هاي شكل تاني هاي
+
+607
+00:54:20,740 --> 00:54:24,480
+حركة spherical عالم
+
+608
+00:54:24,480 --> 00:54:28,840
+ال graphic و في ال design الشباب ضروري تبدأ تتخيل
+
+609
+00:54:34,150 --> 00:54:39,290
+طيب ده مصابح براحتك إيش هسويلك يعني طيب الـ R في
+
+610
+00:54:39,290 --> 00:54:45,510
+الـ cylindrical ال point تبعتي ال point تبعتي
+
+611
+00:54:45,510 --> 00:54:51,790
+عبارة عن R
+
+612
+00:54:51,790 --> 00:55:01,950
+و θ و Z تكافئ XY و Z R θ Z تكافئ XY Z
+
+613
+00:55:04,980 --> 00:55:11,560
+لو اجي انا قلنالك بالمثال السابق تلاتة
+
+614
+00:55:11,560 --> 00:55:22,720
+واربعة وستة هتليها cylindrical R
+
+615
+00:55:22,720 --> 00:55:31,120
+تساوي تسعة ستة عشر ستة و تلاتين واحد استخدم ال
+
+616
+00:55:31,120 --> 00:55:33,240
+calculator الشباب تيتا
+
+617
+00:55:35,110 --> 00:55:50,290
+Ten inverse وين
+
+618
+00:55:50,290 --> 00:55:57,850
+السبعة فاصلة تسعة جدر ال واحد وستين سبعة
+
+619
+00:55:57,850 --> 00:56:04,670
+فاصلة سبعة و واحد وستين يعني متكلم على تسعة
+
+620
+00:56:07,050 --> 00:56:14,030
+قريباً تمام؟ والـ Z ماتغيرت
+
+621
+00:56:14,030 --> 00:56:17,250
+لأنني بتكلم على ارتفاع الأسطوانة في البُعد التالت
+
+622
+00:56:17,250 --> 00:56:33,650
+وبالتالي النقطة هذه تكافئ 7.8 53.3 و 6 تمام
+
+623
+00:56:33,650 --> 00:56:38,460
+الشباب؟الشبتر هيك خلص خلينا نروح على ال work out
+
+624
+00:56:38,460 --> 00:56:42,700
+example نعم
+
+625
+00:56:42,700 --> 00:56:46,460
+لو اما نخلص الأساس قبل الامتحان
+
+626
+00:57:12,370 --> 00:57:16,930
+في ال work out example اللي موجودة عندك او في ال
+
+627
+00:57:16,930 --> 00:57:19,250
+work example اللي موجودة في الإصلاح في الكتاب
+
+628
+00:57:19,250 --> 00:57:24,970
+بديها بمسألة بقولك بديها
+
+629
+00:57:24,970 --> 00:57:29,530
+بمسألة بقولك احسب ال area compute the area احسب
+
+630
+00:57:29,530 --> 00:57:36,960
+المساحة وال orientationالمساحة والاتجاه تبع الشكل
+
+631
+00:57:36,960 --> 00:57:42,580
+المعرف بالنقاط التالية صفر و صفر، اتنين و صفر،
+
+632
+00:57:42,580 --> 00:57:47,260
+اتنين و اتنين، واحد و اتنين، واحد و واحد، صفر و
+
+633
+00:57:47,260 --> 00:57:51,320
+واحد، اتنين و اتنين، اتنين و اتنين، اتنين و اتنين،
+
+634
+00:57:51,320 --> 00:57:52,160
+اتنين و اتنين، اتنين و اتنين، اتنين و اتنين، اتنين
+
+635
+00:57:52,160 --> 00:57:53,600
+اتنين، اتنين و اتنين، اتنين و اتنين، اتنبدي اجيب
+
+636
+00:57:53,600 --> 00:57:58,340
+ال area الان المسألة هى وان كان فيها مطلوبين بس هى
+
+637
+00:57:58,340 --> 00:58:03,140
+عبارة حالها واحد تحسب ال area طلعت ال area موجبة
+
+638
+00:58:03,140 --> 00:58:08,420
+او ال value موجبة ماهى عكس عقارب الساعة تمام
+
+639
+00:58:08,420 --> 00:58:13,360
+counter clockwise لو طلعت القيمة سالبة مع عقارب
+
+640
+00:58:13,360 --> 00:58:20,120
+الساعة تمام كل أسهل حاجة هرتب النقار خلينا نرتبهم
+
+641
+00:58:20,120 --> 00:58:30,210
+هناصفر و صفر اتنين و صفر اتنين و اتنين واحد و
+
+642
+00:58:30,210 --> 00:58:38,790
+اتنين واحد و واحد صفر و واحد مابلش
+
+643
+00:58:38,790 --> 00:58:50,470
+خلاص طيب ال area تساوي نص صفر ناقص اتنين يعني
+
+644
+00:58:50,470 --> 00:58:51,090
+زائدي اتنين
+
+645
+00:58:55,120 --> 00:59:04,220
+مصموم؟ صفر ناقص صفر زائد اربع ناقص اتنين اربع ناقص
+
+646
+00:59:04,220 --> 00:59:07,940
+اتنين اربع ناقص اتنين اربع ناقص اتنين اربع ناقص
+
+647
+00:59:07,940 --> 00:59:09,900
+اتنين اربع ناقص اتنين اربع ناقص اتنين اربع ناقص
+
+648
+00:59:09,900 --> 00:59:12,980
+اتنين اربع ناقص اتنين اربع ناقص اتنين اربع ناقص
+
+649
+00:59:12,980 --> 00:59:15,700
+اتنين اربع ناقص اتنين اربع ناقص اتنين اربع ناقص
+
+650
+00:59:15,700 --> 00:59:19,920
+اتنين اربع ناقص اتنين اربع ناقص اتنين اربع ناقص
+
+651
+00:59:19,920 --> 00:59:23,040
+اتنين اربع ناقص اتنين اربع ناقص اواحد ناقص صفر
+
+652
+00:59:23,040 --> 00:59:30,700
+زائد الأخيرة صفر ناقص صفر اربعة
+
+653
+00:59:30,700 --> 00:59:39,800
+اتنين ناقص ستة ناقص واحد ستة
+
+654
+00:59:39,800 --> 00:59:46,160
+على اتنين اتساوى تلاتة positive positive ما هي
+
+655
+00:59:46,160 --> 00:59:51,040
+طويل ال area و ال orientationAnti-clockwise أو
+
+656
+00:59:51,040 --> 00:59:57,920
+counter clockwise موجودات في الكتابة صحيح مش على
+
+657
+00:59:57,920 --> 01:00:07,980
+ال model في نهاية ال chapter طيب مجلد يحسبني
+
+658
+01:00:07,980 --> 01:00:15,440
+المساحة او المسافة عفوا مش
+
+659
+01:00:15,440 --> 01:00:25,710
+هيظبطالمسافة بين نقطتين بي
+
+660
+01:00:25,710 --> 01:00:34,850
+واحد هي بي واحد واحد و واحد و بي اتنين ستة و سبعة
+
+661
+01:00:34,850 --> 01:00:40,590
+في عندك كمان نقطتين بي تلاتة واحد و واحد و واحد و
+
+662
+01:00:40,590 --> 01:00:43,510
+بي اربعة سبعة و تمانية و تسعة
+
+663
+01:00:46,910 --> 01:00:54,750
+الـ distance بين النقطين 6
+
+664
+01:00:54,750 --> 01:01:03,290
+-1 5 تربيع زائد 6 تربيع 25 و 36 شباب
+
+665
+01:01:17,130 --> 01:01:30,630
+ستة تربيع .. سبعة تربيع .. كده؟ تحت الجذر؟
+
+666
+01:01:30,630 --> 01:01:33,730
+بالول
+
+667
+01:01:33,730 --> 01:01:34,590
+القوانين هذه يا شباب
+
+668
+01:01:37,950 --> 01:01:40,850
+دكتور ليش سبعة نقص واحد او سبعة تربيع وتسعة نقص
+
+669
+01:01:40,850 --> 01:01:46,530
+واحد؟ سبعة نقص واحد ستة تربيع تمانية نقص واحد سبعة
+
+670
+01:01:46,530 --> 01:01:51,750
+تربيع تسعة نقص واحد distance
+
+671
+01:01:51,750 --> 01:01:59,100
+المسافة بين نقطين الفرق بين نقطيندلتا اكس تربيع
+
+672
+01:01:59,100 --> 01:02:04,940
+تساوي اكس اتنين نقص اكس واحد لكل تربيع اكس اتنين
+
+673
+01:02:04,940 --> 01:02:11,560
+ستة اكس واحد واحد عفوا سبعة سبعة نقص واحد ستة
+
+674
+01:02:11,560 --> 01:02:13,560
+تربيع انا عارف ان اخدناها استاذ الله يعطيكوا
+
+675
+01:02:13,560 --> 01:02:13,940
+العافية
+
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/ASgeGNRuTY8.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/ASgeGNRuTY8.srt
new file mode 100644
index 0000000000000000000000000000000000000000..cf177e2f749982dad130950fd21c56bffaa21d13
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/ASgeGNRuTY8.srt
@@ -0,0 +1,3415 @@
+1
+00:00:20,970 --> 00:00:22,750
+بسم الله والحمد لله والصلاة والسلام على رسول
+
+2
+00:00:22,750 --> 00:00:25,730
+الله بدأت إن شاء الله أعتذر على التخيل البسيط هذا لكن 
+
+3
+00:00:25,730 --> 00:00:28,430
+الأخرني إن كنت وعدتكم أحمل لكم الكتاب وأحمل لكم ال
+
+4
+00:00:28,430 --> 00:00:32,730
+slides فاللي تذكرتُهم في آخر لحظة فحملتهم قبل ما
+
+5
+00:00:32,730 --> 00:00:35,550
+أجيكم إن شاء الله، الله يرضى عليكم كنا بدنا المحاضرة
+
+6
+00:00:35,550 --> 00:00:38,950
+الماضية نتكلم عن الـ numbers الأعداد وقلنا في
+
+7
+00:00:38,950 --> 00:00:41,950
+علاقتنا مع الـ numbers بدأت من عمت أظافرنا ولما
+
+8
+00:00:41,950 --> 00:00:46,130
+بدينا نميز بين الشغلات الكتيرة والقليلة ومن ثم 
+
+9
+00:00:46,130 --> 00:00:49,910
+بدينا نعد على أصابعنا وتعلمنا الأرقام ومشينا
+
+10
+00:00:49,910 --> 00:00:54,240
+معاهم بالتدريج، بقعد هيك نتكلمنا على نظرية المجموعات
+
+11
+00:00:54,240 --> 00:00:56,260
+ونقول إن المجموعة هي عبارة عن collection of
+
+12
+00:00:56,260 --> 00:01:00,120
+arbitrary objects عناصرها ممنوع تكرار فيهم أو
+
+13
+00:01:00,120 --> 00:01:03,920
+تكرار العناصر فيها بدون فائدة، الترتيب العناصر غير
+
+14
+00:01:03,920 --> 00:01:09,710
+مهم، لكن بعض المجموعات هي فعليًا مرتبة مثل الأرقام
+
+15
+00:01:09,710 --> 00:01:12,070
+مجموعات الأعداد اللي احنا بنعرفها، لما بنتيجي نتكلم على
+
+16
+00:01:12,070 --> 00:01:15,730
+جمعة الأعداد الطبيعية 1 2 3 4 لما 
+
+17
+00:01:15,730 --> 00:01:20,370
+بنتيجي نتكلم على الـ prime 2 3 5 7 وكل 
+
+18
+00:01:20,370 --> 00:01:23,470
+عدد من الأعداد هذا له position ومنها جاء الاسم
+
+19
+00:01:23,470 --> 00:01:26,550
+well-ordered set، لما بأجي بسأل إيش العدد الـ prime
+
+20
+00:01:26,550 --> 00:01:30,570
+التالي مباشرة هتقولوا الخمسة ليش ما قلناش سبعة أو 
+
+21
+00:01:30,570 --> 00:01:33,390
+ليش ما قلناش تلاتة؟ لأنه فعليًا هو الثالث في المجموعة
+
+22
+00:01:33,390 --> 00:01:36,510
+وبناءً على هيك، بيصير في عندي مجموعات well ordered
+
+23
+00:01:37,810 --> 00:01:41,230
+elements من المجموعات أو من عمليات المجموعات
+
+24
+00:01:41,230 --> 00:01:44,710
+والترتيب ظهرت عندنا عمليات الجمع واليساوي أو
+
+25
+00:01:44,710 --> 00:01:48,690
+المساواة، وقلنا الجمع هي عبارة عن add more elements
+
+26
+00:01:48,690 --> 00:01:52,430
+to set كل مرة بنضيف واحد على سبيل المثال الفرق بين
+
+27
+00:01:52,430 --> 00:01:55,970
+العنصر الأول والثاني في المجموعة العدد الطبيعية
+
+28
+00:01:55,970 --> 00:02:00,130
+واحد، كذلك الفرق بين أي عنصرين متتاليين في المجموعة
+
+29
+00:02:00,130 --> 00:02:06,390
+الطبيعية وكذلك واحد وبالتالي ظهرت عندنا الآن الـ
+
+30
+00:02:06,390 --> 00:02:10,090
+Add والـ Equal، بعد ذلك تكلمنا عن الـ Zero وقلنا
+
+31
+00:02:10,090 --> 00:02:13,570
+الـ Zero هو مش من ضمن الأعداد الطبيعية لكن أضفنا
+
+32
+00:02:13,570 --> 00:02:16,830
+للمجموعة الأعداد الطبيعية شريطة أنّه إمّا نقول N
+
+33
+00:02:16,830 --> 00:02:21,890
+Star أو N Zero وشوفنا علاقته مع الأعداد من ناحية
+
+34
+00:02:21,890 --> 00:02:26,190
+جمع وطرح وضرب وقسمة، وقلنا أهم شغلة إن القسمة على 
+
+35
+00:02:26,190 --> 00:02:31,000
+الصفر عملية غير معرفة، عملية غير معرفة، وبعد هيك
+
+36
+00:02:31,000 --> 00:02:35,420
+انتقلنا أو مهدّ وجود الصفر والأعداد الطبيعية لظهور
+
+37
+00:02:35,420 --> 00:02:40,020
+الأرقام السالبة، وشوفنا عملية الجمع والطرح ما بين
+
+38
+00:02:40,020 --> 00:02:43,320
+الأعداد السالبة لعدد موجب وعدد سالب، بما أنه صار في
+
+39
+00:02:43,320 --> 00:02:46,720
+عندي سالب وموجب، وكذلك شوفنا عملية الضرب والقسمة بين
+
+40
+00:02:46,720 --> 00:02:51,080
+الأعداد الموجبة والسالبة، وبعد هيك تكلمنا على خواص
+
+41
+00:02:51,630 --> 00:02:54,530
+العمليات الحسابية اللي عندي، قلنا الأربع عمليات 
+
+42
+00:02:54,530 --> 00:02:58,530
+حسابية هذه اللي هي الجمع والطرح والضرب والقسمة
+
+43
+00:02:58,530 --> 00:03:01,390
+binary operations يعني بتشتغل على two operands
+
+44
+00:03:01,390 --> 00:03:06,750
+وشوفنا العمليات هذه هل هي commutative إبدالية ولا
+
+45
+00:03:06,750 --> 00:03:11,370
+هي associative ولا هي distributive قلنا لما نتكلم
+
+46
+00:03:11,370 --> 00:03:14,190
+على commutative بتكلم على single operation عملية
+
+47
+00:03:14,190 --> 00:03:18,210
+واحدة فقط مسبوطة وأنا بدي أبدل الـ two operands و
+
+48
+00:03:18,210 --> 00:03:22,430
+أفحصها، لما انتقلنا على الـ associative التجميعية
+
+49
+00:03:22,430 --> 00:03:25,630
+قلنا أنا بتكون عندي the same operation نفس العملية 
+
+50
+00:03:25,630 --> 00:03:29,070
+لكن ظهرت أكثر من مرة وبالتالي قعدت أجمع العناصر
+
+51
+00:03:29,070 --> 00:03:32,210
+اللي في العملية بالأقواس وشفت مين الخوارزميات 
+
+52
+00:03:32,210 --> 00:03:36,630
+الـ associative ولما تكلمت على التوزيع تكلمت فقط
+
+53
+00:03:36,630 --> 00:03:40,410
+على two different operations عمليتين مختلفتين
+
+54
+00:03:40,410 --> 00:03:45,050
+تمامًا مثل توزيع الضرب على الجمع أو توزيع الضرب على
+
+55
+00:03:45,050 --> 00:03:47,890
+الطرح، توزيع الـ ..كذا، وشوفنا منهم فيهم عملية
+
+56
+00:03:47,890 --> 00:03:52,570
+توزيعية وغير .. وعملية غير توزيعية وتذكرنا مع بعض 
+
+57
+00:03:52,570 --> 00:03:57,310
+الأولويات للعمليات الحسابية لأنّها أساس عملية
+
+58
+00:03:57,310 --> 00:04:03,770
+التوزيع مسبوطة، كل أقواس ضرب وجمع وضرب وقسمة عفواً، و
+
+59
+00:04:03,770 --> 00:04:09,570
+بعدين الجمع والطرح تمامًا، وبعد هي انتقلنا أو أنهينا
+
+60
+00:04:09,570 --> 00:04:15,710
+محاضرتنا عند الـ base number system وقلنا لو وعدناكم
+
+61
+00:04:15,710 --> 00:04:19,630
+أن نرجع نعيد من النقطة هذه عشان نبلّش محاضرتنا
+
+62
+00:04:19,630 --> 00:04:22,470
+اليوم، صلّوا على النبي وركزوا معايا كويس لأنّ 
+
+63
+00:04:22,470 --> 00:04:27,000
+الموضوع سهل ومُستصعب، الآن احنا بيقول كل نظام العد
+
+64
+00:04:27,000 --> 00:04:30,940
+تمامًا الحالي أو المُستخدم بما فيها النظام العشري
+
+65
+00:04:30,940 --> 00:04:33,880
+اللي احنا بنعرفه والنظام الثنائي اللي احنا سمعنا له
+
+66
+00:04:33,880 --> 00:04:37,380
+الـ binary system تبع الكمبيوتر بيعتمدوا على شغلة
+
+67
+00:04:37,380 --> 00:04:42,180
+اسمها الـ base الأساس ومن هنا جاي the base of
+
+68
+00:04:42,180 --> 00:04:46,620
+number of a number system أساس نظام العد، الآن احنا 
+
+69
+00:04:46,620 --> 00:04:49,640
+اتفقنا سابقًا إنّ أنا في عندي في النظام العشري
+
+70
+00:04:49,640 --> 00:04:53,820
+مجموعة من الـ digits اللي هم من صفر واحد اثنين لحد 
+
+71
+00:04:53,820 --> 00:04:54,260
+التسعة
+
+72
+00:04:57,180 --> 00:05:00,460
+ما بيش النقوة اللي احنا بنستخدمها يا شباب؟ العشري
+
+73
+00:05:00,460 --> 00:05:06,440
+decimal system الـ 
+
+74
+00:05:06,440 --> 00:05:11,040
+base تبعته عشرة من الـ base من الـ base قلنا في
+
+75
+00:05:11,040 --> 00:05:13,540
+عندنا شغلتين أساسيات لازم مباشرةً
+
+76
+00:05:15,950 --> 00:05:22,690
+الأولى إنّ الـ digits المستخدمة في النظام لازم تكون
+
+77
+00:05:22,690 --> 00:05:29,110
+محصورة من الصفر لأقل من الـ base بواحد أو نقدر نقول
+
+78
+00:05:29,110 --> 00:05:34,390
+إنّ الـ digits D هتكون أكبر أو تساوي الصفر وأقل من
+
+79
+00:05:34,390 --> 00:05:39,500
+الـ base من الـ base هذه القاعدة مهمة جدًا بالنسبة لك
+
+80
+00:05:39,500 --> 00:05:43,180
+ليش مهمة؟ لأنّ لو أنا أتيت تكلمت على نظام العدد
+
+81
+00:05:43,180 --> 00:05:48,620
+الثنائي على سبيل المثال 2 ثنائي يعني القاعدة أو
+
+82
+00:05:48,620 --> 00:05:52,100
+الـ base تبعته 2، عدد الـ digits قد إيش يا شباب؟
+
+83
+00:05:52,100 --> 00:05:57,320
+محصورين الـ digits أكبر من أو تساوي الصفر وأقل من
+
+84
+00:05:57,320 --> 00:06:01,930
+2 إيش الأقل من 2؟ الواحد ما فيش غير هيك يعني
+
+85
+00:06:01,930 --> 00:06:06,610
+صفر وواحد، لما أنا بدي أجي أتكلّم على نظام العدد العشري
+
+86
+00:06:06,610 --> 00:06:12,070
+الـ decimal اللي بنستخدمه الـ base تبعته 10 معناته
+
+87
+00:06:12,070 --> 00:06:16,090
+تبت محصورة ما بين الصفر والتسعة لإنه أقل من عشرة
+
+88
+00:06:16,090 --> 00:06:19,690
+إذا أنا بدأت أحط إشارة يساوي هنا يا شباب بدي أحط
+
+89
+00:06:19,690 --> 00:06:24,850
+ناقص واحد تمامًا؟ إذا أنا بدأت أحط هنا إشارة يساوي
+
+90
+00:06:24,850 --> 00:06:27,810
+عشان تبقى المعلومة تبقى في صح لازم أقول إنّ الـ base
+
+91
+00:06:27,810 --> 00:06:32,520
+أقل من الـ base قبل واحد، هذه الحالة الأولى يعني عدّبت
+
+92
+00:06:32,520 --> 00:06:37,240
+عدد أو حدّدت عدد الـ digits لو أنا سألتك الآن في 
+
+93
+00:06:37,240 --> 00:06:42,700
+نظام العد الخماسي كم digits موجود عندك؟ حرام عليك 
+
+94
+00:06:42,700 --> 00:06:47,300
+خمسة، أيوة أنا سألتك كم digits تمامًا؟ كم digits 
+
+95
+00:06:47,300 --> 00:06:53,740
+خمسة؟ من هم؟ من صفر لأربعة تمامًا؟ العدد يبقى مثل الـ
+
+96
+00:06:53,740 --> 00:06:58,510
+base تمامًا العشرة، العشري 1 2 3 4 لحد 
+
+97
+00:06:58,510 --> 00:07:03,130
+التسعة، 10 digit في الـ binary صفر واحد 2 digits 
+
+98
+00:07:03,130 --> 00:07:06,710
+تمامًا؟ الآن لما بتكلم قلت لك كم digit في النظام
+
+99
+00:07:06,710 --> 00:07:12,610
+الخواسي 5 من هم؟ صفر واحد 2 3 4 هذه 
+
+100
+00:07:12,610 --> 00:07:16,010
+5 digit تمامًا؟ هذه الخاصية الأولى اللي أنا 
+
+101
+00:07:16,010 --> 00:07:21,350
+بستنبطها من الـ base، الشيء الثاني اللي أنا بستنبطها
+
+102
+00:07:21,350 --> 00:07:29,110
+من الـ base بشكل عام إنّ أنا فعليًا بأقدر أحدد قيمة كل
+
+103
+00:07:29,110 --> 00:07:32,950
+element الـ digit xi لما أنا بأكتب الآن لو أنا اجيت 
+
+104
+00:07:32,950 --> 00:07:35,730
+قلت هي الرقم هذا في النظام العشري اللي احنا
+
+105
+00:07:35,730 --> 00:07:44,270
+بنتكلم فيه 705
+
+106
+00:07:44,270 --> 00:07:49,430
+و80، السبعة لحالها يا شباب هيك كنا هنقرأها
+
+107
+00:07:49,430 --> 00:07:56,510
+سبعة، لكن لما صارت في رقم أكبر تمامًا اتغير مكانها
+
+108
+00:07:56,510 --> 00:08:02,910
+بالمنزل اللي هي موجودة فيها، بصفت؟ يعني هذه سبعة،
+
+109
+00:08:02,910 --> 00:08:04,030
+بصفت؟
+
+110
+00:08:07,100 --> 00:08:12,920
+70 وهان 700 ولو ضفت كمان هتتغير حسب الـ position
+
+111
+00:08:12,920 --> 00:08:17,020
+تبعها، طيب الـ value تبع الـ position هذه مين اللي 
+
+112
+00:08:17,020 --> 00:08:24,640
+حددها؟ الـ base الـ base الآن احنا اتفقنا في أي دولة
+
+113
+00:08:24,640 --> 00:08:28,480
+العدد اللي على الأقصى اليمين بالنسبة لك اللي هي
+
+114
+00:08:28,480 --> 00:08:35,920
+الخمسة سمنها الـ least significant أقل قيمة أو بين
+
+115
+00:08:35,920 --> 00:08:42,060
+قصدين أقل منزلة تمامًا؟ وهذا الـ most significant
+
+116
+00:08:42,060 --> 00:08:48,100
+digit أعلى منزلة، أعلى قيمة، طيب .. طيب شو الفرق بين
+
+117
+00:08:48,100 --> 00:08:50,580
+الـ least significant digit والـ most significant
+
+118
+00:08:50,580 --> 00:08:55,800
+digit؟ الآن الـ least significant digit هي عبارة عن
+
+119
+00:08:55,800 --> 00:09:04,080
+الـ base أس صفر مضروبة في مين؟ في 
+
+120
+00:09:04,080 --> 00:09:08,400
+الرقم اللي موجود عندك فوق، وبعد هيك بتبدأ تتحرك 
+
+121
+00:09:08,400 --> 00:09:12,280
+باليسار على اليسار وبتزيد في مين؟ بتزيد في الأس
+
+122
+00:09:12,280 --> 00:09:17,620
+الـ Base يقطع كما هو، طيب، الآن هذه الأفراد المفروضة
+
+123
+00:09:17,620 --> 00:09:24,240
+على النظام العشري هذه مضروبة في 10 أس صفر تمامًا؟
+
+124
+00:09:24,240 --> 00:09:29,940
+8 مضروبة في 10 أس 1، الـ 7
+
+125
+00:09:31,760 --> 00:09:38,540
+10 أس 2 وبتبقى أعلى كمان plus one، طيب لو 
+
+126
+00:09:38,540 --> 00:09:49,000
+كان الرقم فيه عندي أنا فاصلة عشرية ما فيش
+
+127
+00:09:49,000 --> 00:09:52,560
+عندك مشكلة، نفس النظام بتطبّق بس الإشارة اللي هتصير
+
+128
+00:09:52,560 --> 00:10:02,610
+ناقص واحد، الصفر ضرب 10 أس سالب واحد، 10 أس سالب
+
+129
+00:10:02,610 --> 00:10:09,530
+2، 10 أس سالب 3 وهكذا يعني صرت بأقدر أحدد
+
+130
+00:10:09,530 --> 00:10:13,490
+الـ value أو قيمة كل digit في الـ complex number في 
+
+131
+00:10:13,490 --> 00:10:17,650
+الأرقام الكبيرة بناءً على مين؟ على الـ Base يعني صار
+
+132
+00:10:17,650 --> 00:10:21,350
+الـ Base إلّه فيه 2 أساسيات في نظام العد الأولى
+
+133
+00:10:21,350 --> 00:10:24,310
+إنّه يحدد لي من هم الـ digits اللي أنا بدي أتعامل
+
+134
+00:10:24,310 --> 00:10:30,270
+معاهم، الشغل الثاني يحدد لي منزلة كل digit في الفرقان
+
+135
+00:10:30,270 --> 00:10:35,350
+اللي موجود عندها وهذا الكلام يُطبّق على أي نظام عد
+
+136
+00:10:35,350 --> 00:10:40,190
+حتى للغير متداول، لو أنت فكرت في لحظة من اللحظات
+
+137
+00:10:40,190 --> 00:10:45,730
+بتقول والله أنا بدي أشتغل نظام عد 13، مش مشكلة تأخذ 
+
+138
+00:10:45,730 --> 00:10:50,430
+القوانين الثانية هدول وبتطبّقها عليك، الشيء إنّ مشكلة
+
+139
+00:10:50,430 --> 00:10:54,250
+كبيرة صغيرة، بعد نظام العد العشري هلّجت بقول لك إيش
+
+140
+00:10:54,250 --> 00:10:57,990
+مشكلتها عشان نحلها مع بعض اللي هي الـ A والـ B والـ 
+
+141
+00:10:57,990 --> 00:11:01,550
+أنا بقول لك ليش هَلْجَتْ الـ A والـ B الأمر بناءً على هيك
+
+142
+00:11:01,550 --> 00:11:06,510
+يا شباب أنا بقدر أتكلم على نظام العد الثنائي الـ binary
+
+143
+00:11:06,510 --> 00:11:08,770
+تمام؟
+
+144
+00:11:09,770 --> 00:11:12,450
+بتكلم على طبعًا هذه القاعدة الأساسية اللي موجودة 
+
+145
+00:11:12,450 --> 00:11:21,650
+علينا احنا اللي تكلمنا عليها الآن ككل بأي رقم الـ
+
+146
+00:11:21,650 --> 00:11:26,970
+base الصفر بتروح على اليسار الـ plus واحد على الأس
+
+147
+00:11:26,970 --> 00:11:32,900
+وعلى اليمين -1 تمام؟ ليش الـ minus one؟ لأن الكسر
+
+148
+00:11:32,900 --> 00:11:38,040
+بده يصير .. الآن أي عدد .. أي عدد مثلًا 2 أس ناقص
+
+149
+00:11:38,040 --> 00:11:42,960
+1، إيش تفسرون هذه يا شباب؟
+
+150
+00:11:42,960 --> 00:11:49,080
+2 من 10 تمام، الآن الأس إيش يعني الأس السالب؟ 1
+
+151
+00:11:49,080 --> 00:11:52,540
+على الرقم اللي موجود عندي هنا
+
+152
+00:11:56,560 --> 00:12:00,460
+الأس السالب يعني الـ value هذه الـ major تبعتها في
+
+153
+00:12:00,460 --> 00:12:06,080
+المقام طب والبسط كده مقداره؟ واحد إيش مكان الرقم؟
+
+154
+00:12:06,080 --> 00:12:21,300
+لما أنا باجي بقول عشرة أس سالب اثنين تمام؟
+
+155
+00:12:22,460 --> 00:12:25,400
+شوف هذه المعلومات أنا متأكد كلكم بتعرفوها بس إيش
+
+156
+00:12:25,400 --> 00:12:30,280
+أحيانًا واحد بينساه لأنه بيستخدمهاش بس لأ لأ أنت 
+
+157
+00:12:30,280 --> 00:12:36,900
+تبدأ تركز في الأمور اللي موجودة عندها تمام تعالَ
+
+158
+00:12:36,900 --> 00:12:43,020
+نشوف أرقام بسيطة من الأرقام اللي احنا بنعرفها وليكن
+
+159
+00:12:43,020 --> 00:12:47,340
+على سبيل المثال واحد
+
+160
+00:12:47,340 --> 00:12:51,100
+اثنين سبعة
+
+161
+00:12:52,530 --> 00:12:57,650
+خمسة بالعشري بالنظام العشري كيف بدي أكتب الرقم هذا
+
+162
+00:12:57,650 --> 00:13:01,810
+اثنين
+
+163
+00:13:01,810 --> 00:13:06,530
+هذه يساوي الرقم هذه يساوي اثنين ضرب عشرة أس صفر
+
+164
+00:13:06,530 --> 00:13:13,350
+زائد واحد ضرب عشرة أس واحد معانا نحيا ديك الآن
+
+165
+00:13:13,350 --> 00:13:14,410
+زائد
+
+166
+00:13:16,550 --> 00:13:26,170
+سبعة ضرب عشرة أس سالب واحد زائد خمسة ضرب عشرة أس سالب
+
+167
+00:13:26,170 --> 00:13:33,710
+اثنين الآن هذه قيمتها point سبعة بصبت سبعة من عشرة
+
+168
+00:13:33,710 --> 00:13:37,270
+مافيش
+
+169
+00:13:37,270 --> 00:13:39,430
+هنا مشكلة في الأرقام معناته أنا في عندي هنا عشرة
+
+170
+00:13:39,430 --> 00:13:48,350
+زائد اثنين في واحد 2 زائد سبعة ضرب عشرة أو سالب
+
+171
+00:13:48,350 --> 00:13:53,930
+واحد يعني سبعة على عشرة مظبوط سبعة على عشرة كده إيش
+
+172
+00:13:53,930 --> 00:14:00,890
+point 0 point 7 مظبوط صفر point سبعة زائد خمسة على
+
+173
+00:14:00,890 --> 00:14:06,790
+مية طب ما هدول الـ values هذي point سبعة وهذي 
+
+174
+00:14:06,790 --> 00:14:14,480
+point zero سبعة خمسة عفوا نجمعهم عشرة واثنين ما عادش
+
+175
+00:14:14,480 --> 00:14:17,920
+و سبعة من عشرة اثناشر و سبعة من عشرة زيادة خمسة من
+
+176
+00:14:17,920 --> 00:14:22,900
+مية ما عادش خمسة وسبعين من مية واضحة الحسبة تمام يا 
+
+177
+00:14:22,900 --> 00:14:28,360
+شباب؟ طيب الآن هذا الكلام اللي بنقوله احنا بنسقطه
+
+178
+00:14:28,360 --> 00:14:32,540
+على أي نظام عد في الدنيا هي على سبيل المثال الـ
+
+179
+00:14:32,540 --> 00:14:38,780
+binary الـ base تبعتها اثنين الـ digit
+
+180
+00:14:42,630 --> 00:14:47,270
+لأن الكمبيوتر هو عبارة عن دوائر إلكترونية و
+
+181
+00:14:47,270 --> 00:14:51,010
+الدائرة الكهربية
+
+182
+00:14:51,840 --> 00:14:56,280
+اللي هي حالة من اثنين اما on أو off تمام أو off مش 
+
+183
+00:14:56,280 --> 00:14:59,980
+غير هيك اما فيه تيار في الدائرة أو الدائرة نفسها لا
+
+184
+00:14:59,980 --> 00:15:06,320
+تمام وبناءً على هيك off يعني zero on يعني واحد وبناء
+
+185
+00:15:06,320 --> 00:15:10,160
+على هيك كان النظام الثنائي الـ binary نفس النظام
+
+186
+00:15:10,160 --> 00:15:13,980
+نفس الكلام القاعدة السابقة الـ base اللي موجودة
+
+187
+00:15:13,980 --> 00:15:17,100
+عندنا لو على سبيل المثال احنا فكرنا نشغل التلفزيون
+
+188
+00:15:20,580 --> 00:15:29,840
+هي رقم واحد واحد Zero واحد point واحد واحد binary
+
+189
+00:15:29,840 --> 00:15:36,200
+لو بالنظام العشري كيف بنقرأه بنقرأه ألف ومية وواحد
+
+190
+00:15:36,200 --> 00:15:41,680
+فاصلة واحد عشر من مية أصبحت ألف ومية وواحد فاصلة
+
+191
+00:15:41,680 --> 00:15:46,020
+واحد عشر من المية لكن لما أنا بقول إن هذا العدد
+
+192
+00:15:46,020 --> 00:15:52,280
+نظام ثنائي هتفرق معايا القصة وهصير أنا معني بالـ
+
+193
+00:15:52,280 --> 00:15:57,160
+value تبعت الرقم عشان أفهمها القيمة الحقيقية جدًّا إيش
+
+194
+00:15:57,160 --> 00:16:00,960
+الآن الرقم هذا جدًّا إيش يا حبايب جدًّا قيمته بالـ decimal
+
+195
+00:16:00,960 --> 00:16:05,460
+أنا ما بعرفهاش مين اللي هيوصلني للقيمة الحقيقية
+
+196
+00:16:05,460 --> 00:16:10,100
+تبعتها بالـ decimal الـ base وبنطبق عليه القانون تبع
+
+197
+00:16:10,100 --> 00:16:17,100
+الـ base يعني حاجة جولها واحد اثنين أس صفر اثنين
+
+198
+00:16:17,100 --> 00:16:23,130
+أس واحد اثنين أس اثنين اثنين أس ثلاثة وبعد الفاصلة
+
+199
+00:16:23,130 --> 00:16:31,350
+اثنين أس سالب واحد اثنين أس سالب اثنين يعني هذا
+
+200
+00:16:31,350 --> 00:16:39,890
+يساوي واحد في اثنين أس ثلاثة ثمانية مظبوط؟ زائد
+
+201
+00:16:39,890 --> 00:16:49,970
+واحد في اثنين أس اثنين أربعة زائد صفر زائد واحد
+
+202
+00:16:49,970 --> 00:16:57,070
+صفر ضرب اثنين أس واحد صفر صفر ضرب اثنين صفر واحد
+
+203
+00:16:57,070 --> 00:17:01,410
+ضرب اثنين أس صفر واحد ضرب واحد واحد لا ما تخربطوش
+
+204
+00:17:01,410 --> 00:17:05,670
+أعيد ثاني كمان مرة احنا قلنا بناءً على الـ digits الـ
+
+205
+00:17:05,670 --> 00:17:08,390
+value تبعت كل digit في الرقم الكبير اللي زي هذا
+
+206
+00:17:08,390 --> 00:17:13,970
+تتحدث بناءً على منزلتها بيدك الآن الفاصلة العشرية
+
+207
+00:17:13,970 --> 00:17:17,650
+اللي على يسارها أول element اللي بيبدأ صفر الـ base
+
+208
+00:17:17,650 --> 00:17:22,530
+والصفر وبتطلع وبالتالي هذه عبارة عن اثنين أس صفر
+
+209
+00:17:22,530 --> 00:17:26,790
+هذه اثنين أس واحد اثنين أس اثنين اثنين أس ثلاثة
+
+210
+00:17:26,790 --> 00:17:31,050
+اللي بالسالب اثنين أس سالب واحد اثنين أس سالب
+
+211
+00:17:31,050 --> 00:17:35,610
+اثنين الآن المطلوب منك تضرب كل رقم بالمنزلة و
+
+212
+00:17:35,610 --> 00:17:40,510
+تجمعهم مع بعض صح؟ وهذا يساوي بيبدأ من الكبير من هنا
+
+213
+00:17:40,510 --> 00:17:43,390
+واحد ضرب اثنين أس ثلاثة اثنين أس ثلاثة ثمانية
+
+214
+00:17:43,390 --> 00:17:50,430
+يا شباب ثمانية واحد ضرب ثمانية ثمانية زائد واحد ضرب
+
+215
+00:17:50,430 --> 00:17:54,150
+اثنين أس اثنين أربعة اللي هي اثنين أس اثنين
+
+216
+00:17:54,150 --> 00:17:57,930
+أربعة في واحد أربعة الآن صفر ضرب اثنين أس واحد
+
+217
+00:17:57,930 --> 00:18:03,410
+اثنين أس واحد اثنين صفر في اثنين صفر زائد أي
+
+218
+00:18:03,410 --> 00:18:09,300
+حاجة ترفعها للأس صفر قيمتها واحد واحد في واحد واحد
+
+219
+00:18:09,300 --> 00:18:15,180
+زائد الآن شوف واحد ضرب اثنين أس سالب واحد إيش يعني
+
+220
+00:18:15,180 --> 00:18:19,060
+اثنين أس سالب واحد يعني واحد على اثنين واحد على
+
+221
+00:18:19,060 --> 00:18:27,300
+اثنين نصف طبعًا اللي بنكتب هيك احنا صح؟ زائد واحد
+
+222
+00:18:27,300 --> 00:18:30,600
+ضرب اثنين أس سالب اثنين يعني واحد ضرب واحد على
+
+223
+00:18:30,600 --> 00:18:32,940
+اثنين أس اثنين يعني واحد على أربعة
+
+224
+00:18:38,460 --> 00:18:41,860
+ربع خمسة وعشرين من مية إن تجمع الرقم اللي موجود
+
+225
+00:18:41,860 --> 00:18:49,660
+عندها هذا يساوي ثمانية وأربعة ماشية وواحد ثلاثة عشر
+
+226
+00:18:49,660 --> 00:18:55,080
+فاصلة عند نصف وربع خمسة وسبعين من مية
+
+227
+00:18:58,890 --> 00:19:01,910
+نفس النظام حتى لو بأي نظام في الدنيا اللي بدك
+
+228
+00:19:01,910 --> 00:19:05,730
+تشتغل هتطبق عليه نفس القاعدة هتطبق عليه نفس
+
+229
+00:19:05,730 --> 00:19:08,910
+القاعدة وبتصل للـ value اللي موجودة ليش التحول لهذا
+
+230
+00:19:08,910 --> 00:19:12,510
+احنا محتاجينه يا شباب؟ ضروري أنا أحول أو ضروري
+
+231
+00:19:12,510 --> 00:19:16,230
+أتَحَوَّلْ عارف ليش؟ لأن لو كتبت لك الرقم هذا هيك أنت مش
+
+232
+00:19:16,230 --> 00:19:19,050
+هتعرف الـ value الـ real value اللي احنا زي ما قلنا
+
+233
+00:19:19,050 --> 00:19:22,910
+نشأنا أو الله فطرنا عليها بنفهمها مظبوط؟ لما
+
+234
+00:19:22,910 --> 00:19:25,050
+تكلمنا عن العد أقول الأطفال الصغار بيقدروا يميزوا
+
+235
+00:19:25,050 --> 00:19:27,770
+بالكمية كبيرة وقليلة وبالإن هذا أنا ما بيعرفوش
+
+236
+00:19:27,770 --> 00:19:31,880
+النظام أنا بعرف النظام العشري اللي أنا repeat عليه
+
+237
+00:19:31,880 --> 00:19:37,000
+خلنا نقول وإنفجر عليه من البداية وبالتالي لازم كل
+
+238
+00:19:37,000 --> 00:19:41,180
+شيء أحاول أرجع لمين للـ decimal عشان أنا أقدر أفهم
+
+239
+00:19:41,180 --> 00:19:50,520
+الـ value تبعتها تمام طيب الآن إيش
+
+240
+00:19:50,520 --> 00:19:54,980
+في نظام ثاني مشهور في أنظمة العد في عند نظام العد
+
+241
+00:19:54,980 --> 00:20:01,170
+الثماني الـ octal نظام العد الثماني base ثمانية من
+
+242
+00:20:01,170 --> 00:20:07,010
+اسمه octal ثماني base ثمانية الأعداد من صفر لسبعة
+
+243
+00:20:07,010 --> 00:20:14,790
+الأرقام عارفة المستخدمة من صفر لسبعة تمام لو 
+
+244
+00:20:14,790 --> 00:20:20,070
+أنا أجيت قلت خمسة
+
+245
+00:20:20,070 --> 00:20:25,790
+اثنين point صفر واحد عشان
+
+246
+00:20:25,790 --> 00:20:27,030
+ما نصعبهاش كثير يعني
+
+247
+00:20:30,310 --> 00:20:38,070
+.2 هذا الرقم بالعشري 52 و2 من 10 بالثماني بالـ
+
+248
+00:20:38,070 --> 00:20:47,330
+binary بالـ binary بالـ binary كده الـ value تبعتها هل
+
+249
+00:20:47,330 --> 00:20:51,890
+هذا الرقم ممكن يكون binary مستحيل يكون binary تمام
+
+250
+00:20:51,890 --> 00:20:55,970
+إذا كان مفترض إني قلت لك هذا عشري وبنحوله لـ binary
+
+251
+00:20:55,970 --> 00:20:59,630
+شيء ثاني بس أنا بقول لك هل الرقم هذا بالـ binary؟ لا
+
+252
+00:20:59,630 --> 00:21:03,810
+هذا مش binary octal اه octal لأن كل الـ digits
+
+253
+00:21:03,810 --> 00:21:08,070
+الموجودة من صفر لسبعة أو محصورة بين الصفر والسبعة و
+
+254
+00:21:08,070 --> 00:21:11,530
+هذا يساوي
+
+255
+00:21:11,530 --> 00:21:16,450
+طيب
+
+256
+00:21:16,450 --> 00:21:22,290
+هم ثمانية الصفر وهم ثمانية الواحد وهم ثمانية
+
+257
+00:21:22,290 --> 00:21:29,300
+السالب واحد يساوي خمسة ضرب ثمانية أس واحد زائد
+
+258
+00:21:29,300 --> 00:21:39,860
+اثنين ضرب ثمانية أس صفر زائد اثنين ضرب واحد على
+
+259
+00:21:39,860 --> 00:21:41,540
+ثمانية ثمانية أس سالب واحد
+
+260
+00:21:45,990 --> 00:21:48,750
+مظبوط التوزيع هذه اللي بالمناسبة أنا بكتب التوزيع
+
+261
+00:21:48,750 --> 00:21:52,490
+هذه وبأكد عليها الآن عشان هي أساس الحسبة اللي
+
+262
+00:21:52,490 --> 00:21:58,870
+بدنا نفهمها صح لأن خمسة في ثمانية أربعين زائد
+
+263
+00:21:58,870 --> 00:22:04,510
+ثمانية اثنين في واحد اثنين زائد قلنا أو السالب
+
+264
+00:22:04,510 --> 00:22:09,190
+واحد هذه تعني اثنين على ثمانية اثنين على ثمانية
+
+265
+00:22:09,190 --> 00:22:12,450
+كده يا شباب؟ ربع اثنين
+
+266
+00:22:16,790 --> 00:22:25,190
+ضرب ربع ضرب ثمانية من عشرة واحد على ثمانية عفوا
+
+267
+00:22:25,190 --> 00:22:32,230
+الآن تصير المسألة عندها اثنين وأربعين point اثنين
+
+268
+00:22:32,230 --> 00:22:35,450
+على ثمانية تمثل الربع اللي هي خمسة وعشرين من مية
+
+269
+00:22:42,840 --> 00:22:47,800
+عادة يا شباب ما بنسبقش مع الوقع إن هيك بيجي يقول لك
+
+270
+00:22:47,800 --> 00:22:52,800
+هي octal number خمسة اثنين فاصلة اثنين إيش قيمته
+
+271
+00:22:52,800 --> 00:22:56,480
+بالـ decimal أو بيجي يقول لك هي hexadecimal number
+
+272
+00:22:57,450 --> 00:23:02,070
+وحوّلها للـ decimal لأن إذا أنا سكتت وما حددت الـ base 
+
+273
+00:23:02,070 --> 00:23:06,590
+هذا ممكن يكون بأي نظام، مظبوط؟ يعني هذا لو
+
+274
+00:23:06,590 --> 00:23:09,110
+أنا سألتك هذا الرقم، إيش الأنظمة اللي ممكن تطبق
+
+275
+00:23:09,110 --> 00:23:16,210
+عليه؟ طيب شو رأيك في السداسي؟ بنفع يكون سداسي؟
+
+276
+00:23:16,210 --> 00:23:22,870
+سبعي، ثماني، تساعي، عشري، أحد عشر، اثنا عشر، ستاشر
+
+277
+00:23:22,870 --> 00:23:28,680
+فأنت بتجربهم كلهم حرق فلازم أحدد لك إن هذا الرقم ..
+
+278
+00:23:28,680 --> 00:23:32,280
+لازم أقول لك إن هذا مكتوب بصيغة نظام العد كذا
+
+279
+00:23:32,280 --> 00:23:46,140
+عشان تستخدم الـ base تبعتها وتحدد القيمة الـ
+
+280
+00:23:46,140 --> 00:23:50,700
+hexadecimal أجابني شوية أنا ذكرت لك إن مع الأرقام 
+
+281
+00:23:50,700 --> 00:23:54,860
+اللي في نظام العد أكبر من عشرة تظهر عندنا مشكلة
+
+282
+00:23:55,710 --> 00:24:01,090
+المشكلة كانت التالية بعد العشرة أو بعد التسعة يعني
+
+283
+00:24:01,090 --> 00:24:04,990
+القلم أنا بقول نظام العد 16 الـ base الجديد للشباب
+
+284
+00:24:04,990 --> 00:24:11,510
+الـ base 16 يعني
+
+285
+00:24:11,510 --> 00:24:15,930
+ايش الأرقام المستخدمة أو الـ digits من صفر لخمسة عشر
+
+286
+00:24:15,930 --> 00:24:20,870
+يعني صفر واحد اثنين لحد تسعة عشرة أحد عشر اثنا عشر
+
+287
+00:24:20,870 --> 00:24:24,330
+ثلاثة عشر أربعة عشر خمسة عشر طيب تعال شوف الرقم هذا
+
+288
+00:24:24,330 --> 00:24:31,690
+بالله عليك واحد واحد أربعة
+
+289
+00:24:31,690 --> 00:24:40,090
+point ليه كله واحد واحد وقلت لك هذا الرقم مكتوب
+
+290
+00:24:40,090 --> 00:24:46,290
+بالستة عشر آه قلت لك أن الرقم هذا مكتوب بنظام العد
+
+291
+00:24:46,290 --> 00:24:51,730
+الستة عشر ايش المشكلة وجهتك الآن الأول مشكلة وجهتك 
+
+292
+00:24:52,490 --> 00:24:59,550
+أنه فعليًا هذا أربعة ولا أربعة عشر لأن صار فيه
+
+293
+00:24:59,550 --> 00:25:05,470
+two digits ومستحيل مستحيل أقدر أنا أشتغل في هيك
+
+294
+00:25:05,470 --> 00:25:09,990
+وضع لأن إذا أنا قلت أربعة على كيف Ok يعني معناته أنا 
+
+295
+00:25:09,990 --> 00:25:14,050
+مخالفة خارج .. يعني رفعت الواحد للـ next level يعني
+
+296
+00:25:14,050 --> 00:25:17,550
+بدل ما كانت قيمته واحد .. عفوا عشرة .. عشرة بدو
+
+297
+00:25:17,550 --> 00:25:20,950
+يصير عقل من 16 كم شوية مضبوط ولا لأ وبالتالي أنا 
+
+298
+00:25:20,950 --> 00:25:24,990
+بدي أنتبه للـ base فبناءً أنا على هيك الأرقام اللي
+
+299
+00:25:24,990 --> 00:25:28,290
+بعد الأكبر أو تساوي العشرة في أي نظام بيتم
+
+300
+00:25:28,290 --> 00:25:33,890
+استبدالها برموز ثانية بحيث أن الرمز ياخذ مكان one
+
+301
+00:25:33,890 --> 00:25:39,910
+digit ياخذ مكان one digit وبالتالي إذا أنا قلت لك
+
+302
+00:25:39,910 --> 00:25:47,750
+هذا الرقم بنظام العد 16 مباشرة هذا الرقم مكون من
+
+303
+00:25:47,750 --> 00:25:57,610
+خمس خانات أربعة واحد واحد بعد الفاصلة في عندي واحد
+
+304
+00:25:57,610 --> 00:26:04,450
+واحد الرقم اللي بنيجي نتكلم
+
+305
+00:26:04,450 --> 00:26:10,400
+عليه احنا بعد الفاصلة الـ 14 هذا لو أنا بدي أكتبه
+
+306
+00:26:10,400 --> 00:26:19,560
+قيمته هتكون 1 E point إذا أنا بتكلم هنا 11 معناته
+
+307
+00:26:19,560 --> 00:26:24,100
+بتكلم على B بنظام الـ 16 وحنشوف مع بعض الرقمين دول
+
+308
+00:26:24,100 --> 00:26:29,460
+قيمهم تختلف ولا لأ تعال نشوف على السريع ايش قيمة
+
+309
+00:26:29,460 --> 00:26:32,060
+هذا بالـ decimal و ايش قيمة اللي منه تحت بالـ
+
+310
+00:26:32,060 --> 00:26:36,230
+decimal احنا فهمنا المشكلة هو أن الشباب الآن إذا
+
+311
+00:26:36,230 --> 00:26:39,610
+كان نظام العد بدي يزيد عن عشرة الـ base بتصير تزيد
+
+312
+00:26:39,610 --> 00:26:46,330
+عن عشرة معناته أنت هتضيف للـ digits أرقام مخنتين و
+
+313
+00:26:46,330 --> 00:26:51,590
+ولما تكتب الرقم مخنتين هتصير في عندك إشكالية خطأ
+
+314
+00:26:51,590 --> 00:26:54,770
+في القيمة تغير في المنزلة برنامج مين بدي أحسب عشان
+
+315
+00:26:54,770 --> 00:27:00,070
+هيك بتم استبدال الأرقام اللي مخنتين بـ one digit
+
+316
+00:27:00,070 --> 00:27:03,710
+character حرف تمام اللي أنت بدك إياه وتستخدمه
+
+317
+00:27:03,710 --> 00:27:08,330
+تعال وشوفها في النظام اللي موجود عندنا هذا عبارة
+
+318
+00:27:08,330 --> 00:27:16,590
+عن أربعة ضرب ستة عشر أس صفر زائد واحد ضرب ستة عشر أس
+
+319
+00:27:16,590 --> 00:27:24,720
+واحد زائد واحد ضرب ستة عشر أس اثنين زائد واحد ضرب ..
+
+320
+00:27:24,720 --> 00:27:30,720
+ضرب ستة عشر أس سالب واحد زائد واحد ضرب ستة عشر أس سالب اثنين
+
+321
+00:27:30,720 --> 00:27:37,020
+في حد معك calculator؟ في أنا حاسب على الجوال طيب
+
+322
+00:27:37,020 --> 00:27:40,300
+الآن الرقم هذا مش ضروري احنا كمان تكون في عندي
+
+323
+00:27:40,300 --> 00:27:43,540
+calculator عشان أحسبه 100% لكن لأن بقدر أقدر القيم
+
+324
+00:27:43,540 --> 00:27:45,860
+اللي موجودة عندي أنا دعاني أشوف اللي رقم اللي قلع
+
+325
+00:27:45,860 --> 00:27:50,260
+عندي الثاني يساوي أي
+
+326
+00:27:50,260 --> 00:28:03,820
+ضرب 16 أس صفر زائد واحد 16 أس واحد زائد ب ضرب 16 أس
+
+327
+00:28:03,820 --> 00:28:09,160
+سالب واحد شو رأيكم؟ هاي في عندي أنهان 16 أس سالب
+
+328
+00:28:09,160 --> 00:28:14,600
+اثنين عفوا 16 أس اثنين و أعلى أس تحت هان 16 أس
+
+329
+00:28:14,600 --> 00:28:19,040
+واحد بقول لك مين أكبر؟ اللي فوق أكبر حتمًا ليش جد
+
+330
+00:28:19,040 --> 00:28:24,460
+بعض؟ ليش جد بعض؟ حرام عليك يا رجل هذا هتضرب أربعة
+
+331
+00:28:24,460 --> 00:28:33,440
+عشرة في واحد زائد واحد في ستة عشر زائد .. كم قلنا؟
+
+332
+00:28:33,440 --> 00:28:40,660
+أحد عشر على ستة عشر صح؟ أربعة عشر وستة عشر ثلاثين
+
+333
+00:28:40,660 --> 00:28:46,180
+وعشرة أو أحد عشر على ستة عشر كم تقريبًا؟ سبعة من
+
+334
+00:28:46,180 --> 00:28:50,080
+عشرة تقريبًا سبعة من عشرة يعني بنتكلم هذا ثلاثين
+
+335
+00:28:50,080 --> 00:28:52,480
+point سبعة تقريبًا
+
+336
+00:28:56,370 --> 00:29:02,750
+ايش هي؟ هذي؟ هذي؟
+
+337
+00:29:02,750 --> 00:29:07,010
+اللي فوق غلط خضر يظهر اللي فوق لا لا صح اللي فوق
+
+338
+00:29:07,010 --> 00:29:11,530
+يا أخو مالك أنتم احنا بنقول هدول الرقمين هدول
+
+339
+00:29:11,530 --> 00:29:16,610
+الرقمين مختلفين تمامًا عن بعض في نظام العد الستة عشر
+
+340
+00:29:16,610 --> 00:29:21,810
+جينا نقول لك التالي هذي مش أربعة عشر هذي أربعة واحد
+
+341
+00:29:21,810 --> 00:29:27,700
+واحد إذا أنا بدي أكتب أربعة عشر بدي أستخدم الـ E وإذا
+
+342
+00:29:27,700 --> 00:29:31,640
+أنا بدي أستخدم 11 بدي أستخدم الـ B لأن هو دي point
+
+343
+00:29:31,640 --> 00:29:36,420
+واحد 16 أس ثلاثة واحد وده 16 أس ثلاثة اثنين فأنا
+
+344
+00:29:36,420 --> 00:29:40,900
+لما جيت حللت المسألة هي اللي تحتها تقريبًا ثلاثين
+
+345
+00:29:40,900 --> 00:29:47,160
+تعال نشوف اللي فوق أربعة في واحد زائد واحد في 
+
+346
+00:29:47,160 --> 00:29:51,940
+ستة عشر زائد واحد ستة عشر في ستة عشر كده درجة يا شباب
+
+347
+00:29:51,940 --> 00:29:52,620
+256
+
+348
+00:29:56,330 --> 00:30:04,010
+زائد واحد على ستة عشر زائد واحد على 256
+
+349
+00:30:04,010 --> 00:30:08,090
+وأربعة 
+
+350
+00:30:08,090 --> 00:30:14,570
+وستة عشر عشرين و 256 256 276
+
+351
+00:30:14,570 --> 00:30:19,990
+point واحد على ستة عشر واحد على 256 زائد 2
+
+352
+00:30:22,480 --> 00:30:28,240
+تقريبًا واحد من عشرة شوف
+
+353
+00:30:28,240 --> 00:30:33,320
+الفرق بين الرقمين أساسًا قلت لك أنا بدون ما أحسب ..
+
+354
+00:30:33,320 --> 00:30:37,060
+بدون ما أحسب الأعلى أُس هو اللي .. اللي لعب دور
+
+355
+00:30:37,060 --> 00:30:41,300
+كبير عندي هان أعلى رقم اللي ضرب في .. في بعض 16
+
+356
+00:30:41,300 --> 00:30:46,880
+أس واحد جدشق 16 في واحد أقول لك لو ضربت 16 في 15
+
+357
+00:30:46,880 --> 00:30:52,360
+أنا بافتراض أنه هان F مش واحد 16 في 15 هتبقى أقل من
+
+358
+00:30:52,360 --> 00:30:56,480
+16 في 16 وبالتالي كان في .. بإمكاني أنا أحسن من
+
+359
+00:30:56,480 --> 00:31:01,280
+البداية المثل عشان هيك الشباب أحيانًا أحيانًا مش لازم
+
+360
+00:31:01,280 --> 00:31:05,920
+أنا أحصل على نتيجة نهائية عشان أقدر من فيهم أكبر و
+
+361
+00:31:05,920 --> 00:31:09,820
+أفرق بين الأرقام فممكن أحصل على قيمة تقريبية من
+
+362
+00:31:09,820 --> 00:31:12,540
+أعلى أو وسط نعم لما يجيني أنا هذا الـ phone بتعشر و
+
+363
+00:31:12,540 --> 00:31:16,000
+أنا نحسب الخلق كثير هتحل الخلق كثير؟ لأ لأ لأ في
+
+364
+00:31:16,000 --> 00:31:22,380
+شباب شباب بهمش هنرجع مرة ثانية و أحاول تركزوا
+
+365
+00:31:22,380 --> 00:31:27,440
+معايا كويس اللي أنا بقى أقوله كالتالي في نظام العد
+
+366
+00:31:27,440 --> 00:31:32,620
+الثنائي فوق العاشر وليكن على سبيل المثال 16 تظهر
+
+367
+00:31:32,620 --> 00:31:35,880
+عندنا مشكلة الأرقام اللي من two digits مباشرة هذه
+
+368
+00:31:35,880 --> 00:31:39,520
+هيتم استبدالها زي العشرة أحد عشر اثنا عشر ثلاثة عشر
+
+369
+00:31:39,520 --> 00:31:42,900
+أربعة عشر خمسة عشر في نظام العد 16 هيتم استبدال
+
+370
+00:31:42,900 --> 00:31:51,160
+العشرة بالـ A 11، الـ B 12، الـ C 13، الـ D 14 والـ E بتمثل
+
+371
+00:31:51,160 --> 00:31:56,100
+الـ 15 وعليه لما أنا بدي أكتب رقم بالـ hexadecimal
+
+372
+00:31:56,100 --> 00:32:03,900
+بنظام العد 16 لما بكتب 114 تمام؟ إياك تفكر أن
+
+373
+00:32:03,900 --> 00:32:09,600
+هذه بتمثل الـ A لأ هذه لا تمثل الـ A بأي حال من
+
+374
+00:32:09,600 --> 00:32:14,860
+الأحوال تمام؟ هذه لا تمثل الـ E بأي حال من الأحوال
+
+375
+00:32:14,860 --> 00:32:18,280
+أو بين جوزين خلّنا نكتبه بصيغة ثانية هذا الرقم
+
+376
+00:32:18,280 --> 00:32:29,000
+بنظام العد 16 لا يساوي 1E نظام العد 16 ليش؟ لأن
+
+377
+00:32:29,000 --> 00:32:36,510
+هذا فيه ثلاثة منازل أعلى أُس فيه 16 أُس 2 16
+
+378
+00:32:36,510 --> 00:32:40,830
+أُس واحد 16 أُس اثنين هذا من منزلتين أعلى أُس في
+
+379
+00:32:40,830 --> 00:32:46,630
+16 أُس واحد و 16 أُس اثنين أكبر من 16 أُس واحد
+
+380
+00:32:46,630 --> 00:32:50,130
+وبالتالي الرقم مستحيل يكونوا زي بعض أو متساويين
+
+381
+00:32:50,130 --> 00:32:53,590
+تمام هذا الكلام اللي أنا بقوله قاعد نرجع كمان مرة
+
+382
+00:32:53,590 --> 00:32:58,230
+بنقول انتبه للأرقام اللي بتكون عندك لو كان الرقم
+
+383
+00:32:58,230 --> 00:33:02,130
+شباب اللي
+
+384
+00:33:02,130 --> 00:33:08,260
+أنا مسحتها بنقول كالتالي هي الرقم هذا 114 تمام
+
+385
+00:33:08,260 --> 00:33:13,400
+بقول لك أن الرقم هذا مكتوب نظام العد 16 بالـ
+
+386
+00:33:13,400 --> 00:33:20,310
+hexadecimal لما تيجي تحسبه إياك تفكر تقول هذه عبارة
+
+387
+00:33:20,310 --> 00:33:26,470
+عن 14 ضرب 16 أُس 0 لأ يا صاحبي هذه عبارة عن 4 ضرب
+
+388
+00:33:26,470 --> 00:33:33,570
+16 أُس 0 زائد 1 ضرب 16 أُس 1 زائد 1 أُس 16 أُس 2
+
+389
+00:33:33,570 --> 00:33:36,850
+الرقم اللي بتمثل فيه الأربعة عشر احنا مختلف شكله
+
+390
+00:33:36,850 --> 00:33:41,470
+واحد ايه؟
+
+391
+00:33:41,470 --> 00:33:43,230
+two digits بسووش بعض أكيد
+
+392
+00:34:03,850 --> 00:34:09,450
+مباشرة هذا يساوي E قيمتها أربعة عشر
+
+393
+00:34:12,150 --> 00:34:19,250
+أربعة عشر ضرب ستة عشر أُس صفر زائد أربعة ضرب ستة عشر أُس
+
+394
+00:34:19,250 --> 00:34:26,930
+واحد زائد واحد ضرب ستة عشر أُس اثنين كمان واضحة الصورة
+
+395
+00:34:26,930 --> 00:34:31,850
+بس
+
+396
+00:34:31,850 --> 00:34:36,530
+كبار مرة استخدام الحرف لأن ما أقدرش أستخدم one
+
+397
+00:34:36,530 --> 00:34:41,150
+digit الـ two characters يعني ما نفعش أنا أجي أكتب الـ
+
+398
+00:34:41,150 --> 00:34:44,210
+hexadecimal رقم من الخانتين .. رقم من الخانتين
+
+399
+00:34:44,210 --> 00:34:44,990
+بالـ hexadecimal
+
+400
+00:34:49,480 --> 00:34:53,800
+هذا كم خانة؟ هذا ثلاثة مش اثنتين عشان هيك تم
+
+401
+00:34:53,800 --> 00:34:58,360
+استبدال العشرة اللي بدي إياها أنا بـ character، hex
+
+402
+00:34:58,360 --> 00:35:02,500
+are two digits من خانتين بس عند الحسبة لما بروح
+
+403
+00:35:02,500 --> 00:35:07,960
+بحسب بستبدل الـ A بإيش، قيمتها الأصلية من نظام العد
+
+404
+00:35:07,960 --> 00:35:10,680
+اللي موجودة عندها، بتمنى تكون الصورة واضحة إن شاء
+
+405
+00:35:10,680 --> 00:35:17,690
+الله تفضل آه ضروري .. ضروري .. طيب لو أنا أجيت
+
+406
+00:35:17,690 --> 00:35:24,730
+قلت نظام عد 12 معناته أنا بتكلم من صفر لـ 11
+
+407
+00:35:24,730 --> 00:35:28,650
+مضبوط؟ طيب عندي عشرة وإحدى عشر هما المشكلة الـ A و
+
+408
+00:35:28,650 --> 00:35:32,290
+B مباشرة إذا بدك ما تستخدموا الـ A و الـ B بتروح
+
+409
+00:35:32,290 --> 00:35:35,310
+بتعرف لي في النظام تبعك بتقول والله أنا بدي أستخدم
+
+410
+00:35:35,310 --> 00:35:40,370
+X عشان يمثل العشرة و بدي أستخدم الـ Y عشان يمثل
+
+411
+00:35:40,370 --> 00:35:43,870
+الـ 11 بتصير الأرقام اللي تظهر تبعتك بنظام العد
+
+412
+00:35:43,870 --> 00:35:49,460
+بتاعتك فيها إيش؟ X و Y تمام فأنت الرموز هذه مش
+
+413
+00:35:49,460 --> 00:35:54,860
+مقدسة يا شباب قدر ما احنا ببنى إنش ممكن نستخدم أو
+
+414
+00:35:54,860 --> 00:35:58,940
+نمثل one number two digits من خلال الأرقام الموجودة
+
+415
+00:35:58,940 --> 00:36:05,540
+عندنا هان واصلة الشباب وقاعد ثاني طيب الحمد لله
+
+416
+00:36:05,540 --> 00:36:09,060
+الآن
+
+417
+00:36:09,060 --> 00:36:13,140
+الرابط المشترك ما بين الأرقام اللي موجودة عندنا
+
+418
+00:36:13,140 --> 00:36:17,200
+هان ليش أنا بحتاج الـ hexadecimal؟ عشان أمثل
+
+419
+00:36:17,200 --> 00:36:21,440
+أرقام صغيرة .. عفوا .. أرقام كبيرة بـ code أو
+
+420
+00:36:21,440 --> 00:36:25,060
+digit بسيط مضبوط؟ يعني احنا شوفنا قبل شوية الرقم 
+
+421
+00:36:25,060 --> 00:36:31,200
+114 طالع معايا فوق ال 270، مصبوط ولا لأ؟ مصبوط؟
+
+422
+00:36:31,200 --> 00:36:34,300
+بال hexadecimal، طالع معايا فوق ال 270 وهذه مثل ال
+
+423
+00:36:34,300 --> 00:36:40,460
+hexadecimal، لو أنا أجيت و كتبتها كتالي هاي إيه؟
+
+424
+00:36:40,460 --> 00:36:43,080
+إيه؟
+
+425
+00:36:44,160 --> 00:36:56,480
+عشرة ومية وستين عشرة ومية وستين عشرة
+
+426
+00:36:56,480 --> 00:37:02,580
+ومية وستين عشرة ومية وستين عشرة ومية وستين 
+
+427
+00:37:02,580 --> 00:37:05,960
+عشرة
+
+428
+00:37:05,960 --> 00:37:13,480
+ومية وستين زائد عشرة في واحد عشرة مية و ستين زائد
+
+429
+00:37:13,480 --> 00:37:19,600
+عشرة مية و سبعين شكلكم مش مفطرين أنتو لسه آه
+
+430
+00:37:19,600 --> 00:37:24,320
+والله ده تاني مرة إذا كانت صح صح مع الفطور يفطر يا 
+
+431
+00:37:24,320 --> 00:37:28,080
+صاحبي وإذا بتنام ماتفطرش بالمرة خليك صايم لآخر
+
+432
+00:37:28,080 --> 00:37:32,600
+النهار طيب الآن يا شباب في عندنا حسبة بسيطة و
+
+433
+00:37:32,600 --> 00:37:36,440
+تحويلة سهلة يعني احنا زي اللي احنا قلنا أو هنقع في
+
+434
+00:37:36,440 --> 00:37:39,900
+مشكلة لو أنا أجيت و قلت لك هدر ممكن أخلينا نكتب كذا
+
+435
+00:37:39,900 --> 00:37:45,500
+مرة إيه إيه؟ هدر هنقولها بأي لغة نكتب؟ بأي نظام؟
+
+436
+00:37:45,500 --> 00:37:51,320
+الـ hexadecimal 16 و
+
+437
+00:37:51,320 --> 00:37:56,860
+بدي إياك تكتب لي إياها بال binary بدي إياها
+
+438
+00:37:56,860 --> 00:38:05,630
+binary أو بدي إياها تحول لي إياها لأي شيء أساوي؟ بدي أحوله
+
+439
+00:38:05,630 --> 00:38:10,710
+لعشري وبعد هيك أحول من عشري ل binary أو أحوله 
+
+440
+00:38:10,710 --> 00:38:14,150
+لعشري وبعد هيك من عشري أحوله لأي شيء بالمناسبة
+
+441
+00:38:14,150 --> 00:38:19,010
+التحويل من عشري للرقم ده بيتجزأ التحويل من ال
+
+442
+00:38:19,010 --> 00:38:25,130
+decimal للنظام اللي بدك إياه هي عملية قسمة مش هشرحها
+
+443
+00:38:25,130 --> 00:38:29,950
+الآن أنا هعلمك طريقة تحول من أي شيء لـ hexadecimal و
+
+444
+00:38:29,950 --> 00:38:33,650
+العكس باعتمادك على ال binary numbers باعتمادك على
+
+445
+00:38:33,650 --> 00:38:43,330
+ال binary numbers طيب الرقم هذا 1111 في ال binary
+
+446
+00:38:43,330 --> 00:38:52,610
+قد إيش قيمته ثمانية حرام عليك يا راجل خمسة
+
+447
+00:38:52,610 --> 00:38:52,970
+عشر
+
+448
+00:38:55,770 --> 00:39:00,590
+اتنين أقص صفر اتنين أقص واحد اتنين أقص اتنين اتنين أقص 
+
+449
+00:39:00,590 --> 00:39:05,150
+تلاتة ثمانية زيادة أربعة زيادة اتنين زيادة واحد
+
+450
+00:39:05,150 --> 00:39:10,990
+ثمانية وأربعة اتناشر واتنين أربعتاش وواحد خمستاش
+
+451
+00:39:10,990 --> 00:39:16,010
+يعني هذا يساوي خمستاش بال decimal خمستاش بال
+
+452
+00:39:16,010 --> 00:39:24,250
+decimal يساوي ال F بال hexadecimal صح؟ طيب هذا
+
+453
+00:39:24,250 --> 00:39:32,970
+الرقم إيش يساوي؟ واحد واحد هذا الرقم binary يساوي
+
+454
+00:39:32,970 --> 00:39:39,570
+واحد بال decimal يساوي واحد بال hexadecimal ما فيش
+
+455
+00:39:39,570 --> 00:39:47,790
+عليه تغيير طيب آجي لرقم تاني كده
+
+456
+00:39:47,790 --> 00:39:53,050
+قيمته هذا بال binary هذا binary بتأكد أنه تلاتة 
+
+457
+00:40:00,620 --> 00:40:05,260
+خمسة يا راجل أنا كنت لسه مش واصل لكم القاعدة
+
+458
+00:40:05,260 --> 00:40:10,460
+الأساسية في التحويل حد ضرب اتنين أقص صفر اتنين أقص
+
+459
+00:40:10,460 --> 00:40:18,080
+واحد اتنين أقص اتنين اضرب واحد في واحد زائد صفر في 
+
+460
+00:40:18,080 --> 00:40:22,760
+اتنين زائد واحد في أربعة أربعة زائد صفر زائد واحد
+
+461
+00:40:22,760 --> 00:40:31,430
+خمسة بال decimal بال hexadecimal برضه خمسة هلقيت
+
+462
+00:40:31,430 --> 00:40:34,030
+بقول لك إيش الفايدة طب لو حطيت لك صفر هنا على الشمال
+
+463
+00:40:34,030 --> 00:40:39,390
+بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد،
+
+464
+00:40:39,390 --> 00:40:41,550
+بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد،
+
+465
+00:40:41,550 --> 00:40:44,810
+بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد،
+
+466
+00:40:44,810 --> 00:40:45,610
+بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد،
+
+467
+00:40:45,610 --> 00:40:46,970
+بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد،
+
+468
+00:40:46,970 --> 00:40:47,890
+بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد،
+
+469
+00:40:47,890 --> 00:40:49,830
+بتزيد، بتزيد، بتزيد، 
+
+470
+00:40:51,560 --> 00:40:55,880
+إيش؟ بعد الفاصلة أنا قلت صح؟ يعني هاي .. طلعنا إيه
+
+471
+00:40:55,880 --> 00:41:01,900
+هاي خمستعش فاصلة خمسة صفر .. صفر .. صفر .. صفر ..
+
+472
+00:41:01,900 --> 00:41:03,760
+صفر .. صفر .. صفر .. صفر .. صفر .. صفر .. صفر ..
+
+473
+00:41:03,760 --> 00:41:03,780
+صفر .. صفر .. صفر .. صفر .. صفر .. صفر .. صفر ..
+
+474
+00:41:03,780 --> 00:41:07,440
+صفر .. صفر .. صفر .. صفر .. صفر .. صفر .. صفر ..
+
+475
+00:41:07,440 --> 00:41:09,560
+صفر .. صفر .. صفر .. صفر .. صفر .. صفر .. صفر ..
+
+476
+00:41:09,560 --> 00:41:10,160
+صفر .. صفر .. صفر .. صفر .. صفر .. صفر .. صفر
+
+477
+00:41:13,550 --> 00:41:17,330
+الآن يا صاحبي تعال نتبع الأرقام بشكل سريع الأرقام
+
+478
+00:41:17,330 --> 00:41:20,490
+ال binary اللي موجودة عندها هي صفر بس بدك تكتب كل
+
+479
+00:41:20,490 --> 00:41:24,910
+رقم binary على أربع خانات ماشي الحال هي صفر واحد
+
+480
+00:41:24,910 --> 00:41:31,530
+اتنين تلاتة أربعة خمسة لحد خمس عشر بالتالي هذا
+
+481
+00:41:31,530 --> 00:41:39,910
+الرقم مش هيك هي نهاية الـ binary سبعة
+
+482
+00:41:42,260 --> 00:41:45,460
+تلات خانات هاي سبعة هاي ستة هاي خمسة صفر عشان
+
+483
+00:41:45,460 --> 00:41:48,200
+معناه ده ما بعرفش معناه بعد هيك انتقلت لمين أنا
+
+484
+00:41:48,200 --> 00:41:53,740
+للنظام اللي موجود عندها لو أنا قلبت منك حاجة بقول لك
+
+485
+00:41:53,740 --> 00:41:58,520
+وإن الفايدة منها لو أنا قلبت منك تحول رقم من
+
+486
+00:41:58,520 --> 00:42:08,260
+hexadecimal ل octal ودي قلت لك الرقم واحد صفر بي
+
+487
+00:42:12,550 --> 00:42:22,750
+7.f و حول اللي هي ل octal هذا
+
+488
+00:42:22,750 --> 00:42:27,390
+هكسب إيه فك تساوي تحوله ل 10 تحوله ل 10 تبقى
+
+489
+00:42:27,390 --> 00:42:31,540
+التحويله ل 10 هياخد وجه طويل منكم بدون calculator
+
+490
+00:42:31,540 --> 00:42:36,500
+غالبا هتغلط فيه لكن تعال تركز معايا بشكل كويس كيف
+
+491
+00:42:36,500 --> 00:42:40,660
+ممكن أحوله بكل بساطة الآن المطلوب منك تاخد كل
+
+492
+00:42:40,660 --> 00:42:45,980
+element من هذا و تمثله بأربع خانات بال binary على
+
+493
+00:42:45,980 --> 00:42:50,580
+نفس الترتيب هي الفاصلة ال F قد إيش قيمته؟ خمس عشر
+
+494
+00:42:50,580 --> 00:42:55,560
+واحد واحد واحد واحد هي الخمس عشر بال binary واحد
+
+495
+00:42:55,560 --> 00:42:58,260
+تقول لي أنا أحفظ الأرقام لو اتعودت تستخدمها هتلاقي
+
+496
+00:42:58,260 --> 00:43:05,090
+حاجة حفظتها لحالك و اذكر دائما واحد اتنين أربعة
+
+497
+00:43:05,090 --> 00:43:09,670
+ثمانية إيش هدول هدول اتنين أقص صفر اتنين أقص واحد
+
+498
+00:43:09,670 --> 00:43:12,730
+اتنين أقص اتنين اتنين أقص تلاتة اللي هم ال base
+
+499
+00:43:12,730 --> 00:43:16,130
+تبع ال binary بالاص اللي هم المجموع يساوي خمس عشر
+
+500
+00:43:16,130 --> 00:43:20,590
+الآن أنا بدي السابعة السابعة هي عبارة عن أربعة و
+
+501
+00:43:20,590 --> 00:43:25,270
+اتنين وواحد أنا بدي صفر في ثمانية واحد في أربعة
+
+502
+00:43:25,270 --> 00:43:30,510
+واحد في اتنين واحد في واحد هاي السابعة مصبوط إذا
+
+503
+00:43:30,510 --> 00:43:40,570
+أنا الآن بدي الاتناشر بدي 12 إيش الـ 12؟ 8 و 4 1 في
+
+504
+00:43:40,570 --> 00:43:47,390
+8 زي 1 في 4 زي 0 في 2 زي 0 في 1 إذا أنت حاولت تحفظ
+
+505
+00:43:47,390 --> 00:43:52,310
+هذه القاعدة 1 2 4 8 بتقدر تجيب أي رقم في ال binary
+
+506
+00:43:52,310 --> 00:43:58,270
+من 0 ل 15 في كل سهولة طيب حد بده يبحث إن يجيب رقم
+
+507
+00:43:58,270 --> 00:44:03,510
+تاني 1313 عبارة عن إيش يا شباب؟ هي عبارة عن 12
+
+508
+00:44:03,510 --> 00:44:09,990
+زائد 1، ثمانية أربعة واحد، يعني واحد واحد صفر هي
+
+509
+00:44:09,990 --> 00:44:14,850
+تلات عشر حاول اشتغل يعني شوف اعتبر أن هذا اليوم
+
+510
+00:44:14,850 --> 00:44:18,690
+exercise إليك في البيت، تمرن من دماغك إنك تجيب
+
+511
+00:44:18,690 --> 00:44:23,390
+الرقم بسرعة هذه المطلوبة منك صعب إنك تحفظها كل
+
+512
+00:44:23,390 --> 00:44:27,250
+الرقم مضروبة في اتنين لحد ما تصل ال 80 صح سهل
+
+513
+00:44:27,250 --> 00:44:30,550
+الرقم تمام تعال نشوف أنا إيش اللي أنا بدأت أساوي
+
+514
+00:44:30,550 --> 00:44:34,770
+سبعة السبعة عبارة واحد تلاتة أربعة واحد اتنين
+
+515
+00:44:34,770 --> 00:44:41,190
+أربعة مصبوط واحد اتنين أربعة وهي صفر مهم جدا ال
+
+516
+00:44:41,190 --> 00:44:46,490
+digit تبع ال hexadecimal أربع خانات بي بي جديش 
+
+517
+00:44:46,490 --> 00:44:53,420
+قيمته الـ 11 هي عبارة عن ثمانية وتلاتة واحد واحد
+
+518
+00:44:53,420 --> 00:44:58,160
+صفر واحد Passport هي الثمانية عشان أمثلك الأرقام 
+
+519
+00:44:58,160 --> 00:45:05,360
+لحالهم هي كل الأرقام لحالهم الصفر واحد اتنين تلاتة
+
+520
+00:45:05,360 --> 00:45:10,910
+أربعة ما بنفعش تحط صفر لحاله لأنه خلاص أنا قاعد بحول
+
+521
+00:45:10,910 --> 00:45:15,210
+من hexadecimal ل binary بحول من hexadecimal ل
+
+522
+00:45:15,210 --> 00:45:19,410
+binary فال صفر بدك تمثله .. زيه .. زيه رقم تاني 
+
+523
+00:45:19,410 --> 00:45:26,410
+بأربع خانات الخامسة بعدها ثمانية صفر صفر صفر واحد
+
+524
+00:45:26,410 --> 00:45:33,290
+غرب هيك صارت كم؟ صح هيك صارت ثمانية هيك؟
+
+525
+00:45:33,290 --> 00:45:37,690
+يا راجل يا ظالم هذه واحد هذه ثمانية 
+
+526
+00:45:42,320 --> 00:45:49,240
+بدي واحد تلاتة
+
+527
+00:45:49,240 --> 00:45:56,300
+يعني هي الصفر وهي الواحد 100% الآن الحل هذا قد إيش
+
+528
+00:45:56,300 --> 00:46:02,020
+أخذ بوجت منها كل تأكيد أسهل من أنك تجد تتجزأ الرقم
+
+529
+00:46:02,020 --> 00:46:06,800
+اللي موجود الخطوة رقم 2 إنك تروح تتجزأ الآن الرقم 
+
+530
+00:46:06,800 --> 00:46:08,380
+هذا من عند الفاصلة العشرية
+
+531
+00:46:15,430 --> 00:46:19,050
+تلاتة ديجيت تلاتة ديجيت إيش يعني تلاتة ديجيت تلاتة
+
+532
+00:46:19,050 --> 00:46:22,690
+ديجيت ديجيت عشان تحوله لأي شيء بنقولنا نحوله لأقطال
+
+533
+00:46:22,690 --> 00:46:31,150
+تعال نشوف هاي تلاتة وهي كمان تلاتة وهي كمان تلاتة
+
+534
+00:46:31,150 --> 00:46:34,190
+وهي كمان تلاتة وهي كمان تلاتة وهي كمان تلاتة وفي
+
+535
+00:46:34,190 --> 00:46:37,810
+عندنا صفر في الآخر بحط صفرين لأنه مش هتأثر عندك
+
+536
+00:46:37,810 --> 00:46:43,370
+كتير صح؟ ونفس الكلام بروح باتجاه الفاصلة هاي تلاتة
+
+537
+00:46:44,780 --> 00:46:49,600
+وهنا بحط صفرين هي تلاتة الآن احسب كل تلت خانات
+
+538
+00:46:49,600 --> 00:46:57,140
+وحطهم في مكانهم هي فاصلة العشرية زي ما هي واحد
+
+539
+00:46:57,140 --> 00:47:05,760
+اتنين أربعة سبعة أربعة
+
+540
+00:47:05,760 --> 00:47:13,740
+واحد اتنين أربعة أربعة الرابع دي سبعة ستة
+
+541
+00:47:15,290 --> 00:47:22,830
+اتنين صفر واحد صفر وهي الرقم هذا اللي طلع معك يا 
+
+542
+00:47:22,830 --> 00:47:30,730
+صاحبي بال اكتل المضام العدل الثماني صعبة التحويلة
+
+543
+00:47:30,730 --> 00:47:36,510
+بنعيدها تاني ولا مثال تاني أعلمك
+
+544
+00:47:36,510 --> 00:47:41,750
+إياها حاضر أخليه
+
+545
+00:47:42,940 --> 00:47:51,280
+عيده مثال تاني أحسن مثال تاني الآن خلينا نقول في
+
+546
+00:47:51,280 --> 00:47:58,280
+أين دي رقم بي
+
+547
+00:47:58,280 --> 00:48:05,600
+سبعة إيه point سبعة
+
+548
+00:48:05,600 --> 00:48:12,950
+هذا الرقم بين واضح أن عد مكتوب 16 hexadecimal مطلوب
+
+549
+00:48:12,950 --> 00:48:17,970
+منك تحوله ل octal الآن الكلام اللي أنا بقوله كلام
+
+550
+00:48:17,970 --> 00:48:25,270
+بسيط جدا تذكر القاعدة واحد اتنين أربعة ثمانية تمام
+
+551
+00:48:25,270 --> 00:48:28,710
+اللي هي نظام ال binary الآن عشان أحول أو التحويل
+
+552
+00:48:28,710 --> 00:48:37,340
+ما بين hexadecimal و octal بدي أستخدم ال binary
+
+553
+00:48:37,340 --> 00:48:42,160
+كوسيط استخدامي للعشري ممكن ياخذ فترة طويلة مني في
+
+554
+00:48:42,160 --> 00:48:45,080
+الأول بدي أضرب وبعدين بدي أحصل أجزم على ثمانية
+
+555
+00:48:45,080 --> 00:48:50,020
+طبعا؟ دكتور يجب أن تدخل .. نعم الحين الرقم ليش
+
+556
+00:48:50,020 --> 00:48:54,840
+حددناه أنه النظام السادس عشر؟ يا راجل ما نخيل بيه
+
+557
+00:48:54,840 --> 00:49:00,300
+آه ممكن بس أنا لما آجي أقول لك هاي النظام بدك تعتمد
+
+558
+00:49:00,300 --> 00:49:04,690
+بالنظام اللي موجود الآن ليش أنا بركز على الأنظمة
+
+559
+00:49:04,690 --> 00:49:07,390
+هاي؟ لأن هم الأنظمة المستخدمة ال decimal مستخدمة
+
+560
+00:49:07,390 --> 00:49:10,570
+في حياتنا اللي احنا بنفهمه ال binary و ال octal و
+
+561
+00:49:10,570 --> 00:49:13,010
+الـ hexadecimal مستخدمة أو مطابقة مع الـ computer
+
+562
+00:49:13,010 --> 00:49:17,330
+تمام؟ أنظمة الأعداد الثانية ممكن توجد لها أنت
+
+563
+00:49:17,330 --> 00:49:22,520
+استخدامات بمعرفتك لكن حاليًا ما بنركز على الأنظمة
+
+564
+00:49:22,520 --> 00:49:25,900
+اللي موجودة عندها لإيش؟ أنا قاعد بقول لك هيك هذا لأن
+
+565
+00:49:25,900 --> 00:49:28,820
+التحويل ما بين الأرقام هذه سهل وهي اللي خلّت
+
+566
+00:49:28,820 --> 00:49:34,100
+الأرقام أو الأنظمة هذه مشهورة على مستوى عالٍ لأن
+
+567
+00:49:34,100 --> 00:49:38,180
+الأساس في الـ computer بيناري binary أصبت طيب و الـ
+
+568
+00:49:38,180 --> 00:49:41,400
+hexadecimal و الـ octal أنظمة مستحدثة وموجودة لها
+
+569
+00:49:41,400 --> 00:49:45,100
+استخدام فصارت الـ وصية بين الـ octal و الـ hexadecimal
+
+570
+00:49:45,100 --> 00:49:49,040
+الـ binary عشان يكون أسهل في التحويل لكن هل أقدر 
+
+571
+00:49:49,040 --> 00:49:52,360
+أطبق الكلام هذا على لو كان النظام عندي نظام عادل
+
+572
+00:49:52,360 --> 00:49:59,050
+معاش؟ لأ لأ لأن هتقول في أرقام عندي مش هتكون موجودة
+
+573
+00:49:59,050 --> 00:50:03,270
+anyway تعال نكمل هان في الرقم اللي موجود الآن زي 
+
+574
+00:50:03,270 --> 00:50:07,230
+ما قلنا تحط الفاصلة و بتمثل كل digit بالـ
+
+575
+00:50:07,230 --> 00:50:13,750
+hexadecimal بأربعة digits من الـ binary تمام
+
+576
+00:50:15,780 --> 00:50:20,360
+الآن السبعة هي عبارة عن واحد زائد اثنين زائد ثلاثة 
+
+577
+00:50:20,360 --> 00:50:24,840
+زائد أربعة عفوا، مصبوط؟ هي سبعة يعني واحد في واحد
+
+578
+00:50:24,840 --> 00:50:29,080
+وزائد واحد في اثنين زائد واحد في أربعة زائد صفر في 
+
+579
+00:50:29,080 --> 00:50:36,400
+ثمانية وبالتالي تكتب على صورة صفر واحد واحد واحد
+
+580
+00:50:36,400 --> 00:50:40,160
+بالمناسبة لو جبت لي تجيها تغير الرقم بتصير تتكلم 
+
+581
+00:50:40,160 --> 00:50:42,920
+على أربعة عشر إيش؟ أعيد؟
+
+582
+00:50:46,440 --> 00:50:52,540
+طبعًا أنا الآن لو جيل قلت لك حرف الـ C بالـ decimal الـ
+
+583
+00:50:52,540 --> 00:50:57,280
+binary ثلاثة عشر، الثلاثة عشر هي عبارة عن إيش؟ عبارة عن
+
+584
+00:50:57,280 --> 00:51:04,240
+ثمانية وأربعة وواحد هاي ثمانية هاي أربعة وصفر
+
+585
+00:51:04,240 --> 00:51:09,780
+واحد اللي هي واحد في واحد وواحد في اثنين أقصد واحد
+
+586
+00:51:09,780 --> 00:51:13,960
+اثنين أقصد اثنين اثنين أقصد ثلاثة اللي هي واحد اثنين
+
+587
+00:51:13,960 --> 00:51:14,940
+أربعة ثمانية
+
+588
+00:51:18,740 --> 00:51:23,500
+الآن هان بدي أشتغل نفس الكلمة من إيه؟ عشرة العشرة 
+
+589
+00:51:23,500 --> 00:51:31,020
+عبارة عن إيش؟ ثمانية واثنين صفر واحد صفر واحد هي
+
+590
+00:51:31,020 --> 00:51:35,060
+ثمانية واثنين يعني الرقم اللي بدك تستخدمه من فوق
+
+591
+00:51:35,060 --> 00:51:38,540
+من هان حط بالك واحد اللي بدك تسيبه وتحط مكانه
+
+592
+00:51:38,540 --> 00:51:47,950
+صفر سبعة واحد واحد واحد صفر واحد واحد واحد صفر
+
+593
+00:51:47,950 --> 00:51:53,170
+ثمانية بي
+
+594
+00:51:53,170 --> 00:52:00,750
+بي كـ dash دهش واحد
+
+595
+00:52:00,750 --> 00:52:06,290
+واحد واحد صفر واحد الأول خطوة التالية جسم الـ
+
+596
+00:52:06,290 --> 00:52:13,080
+digits هذه ثلاث خانات ثلاثات هاي ثلاثة وهي ثلاثة هذه
+
+597
+00:52:13,080 --> 00:52:16,100
+ثلاثة وهذه ثلاثة جيب تجسيمة معايا هان تمام مش 
+
+598
+00:52:16,100 --> 00:52:18,740
+بحاجة أحط صفر ده دائمًا ثلاثة ثلاثة ده ده ده ده ده
+
+599
+00:52:18,740 --> 00:52:19,800
+ده ده ده ده ده ده ده ده ده ده ده ده ده ده ده ده
+
+600
+00:52:19,800 --> 00:52:21,560
+ده ده ده ده ده ده ده ده ده ده ده ده ده ده ده ده
+
+601
+00:52:21,560 --> 00:52:23,620
+ده ده ده ده ده ده ده ده ده ده ده ده ده ده ده ده
+
+602
+00:52:23,620 --> 00:52:23,640
+ده ده ده ده ده ده ده ده ده ده ده ده ده ده ده ده
+
+603
+00:52:23,640 --> 00:52:32,780
+ده ده ده ده ده ده ده ده ده ده
+
+604
+00:52:32,780 --> 00:52:41,160
+ده
+
+605
+00:52:41,160 --> 00:52:44,920
+ده أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+606
+00:52:44,920 --> 00:52:47,860
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+607
+00:52:47,860 --> 00:52:48,140
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+608
+00:52:48,140 --> 00:52:51,860
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+609
+00:52:51,860 --> 00:52:53,680
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+610
+00:52:53,680 --> 00:52:58,880
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+611
+00:52:58,880 --> 00:52:59,940
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+612
+00:52:59,940 --> 00:53:10,600
+أربعة أربعة أرب
+
+613
+00:53:11,960 --> 00:53:15,200
+واحد اللي اتكلم عشان أنا أقدر أفهمه نعم لما نحول
+
+614
+00:53:15,200 --> 00:53:18,160
+من hexadecimal لـ octal أيوة مش احنا ما ليش بنشتغل
+
+615
+00:53:18,160 --> 00:53:21,320
+على نظام أو واحد اثنين أربعة ثمانية طبعًا الحين 
+
+616
+00:53:21,320 --> 00:53:25,160
+نضبط ثاني لما نتحول.. نتحول الـ binary لـ octal
+
+617
+00:53:25,160 --> 00:53:30,300
+الأقصى رقم أو أقصى أكبر digit بالـ octal قد إيش؟ الـ
+
+618
+00:53:30,300 --> 00:53:35,470
+octal طبعًا سبعة.. سبعة.. سبعة كام digit؟ ثلاثة
+
+619
+00:53:35,470 --> 00:53:41,990
+واحد اثنين وأربعة بالتالي ثلاثة بدأت بالـ byte مش
+
+620
+00:53:41,990 --> 00:53:51,150
+أربعة عشان هيك أنا بروح أجسبه على ثلاثة طيب نعم وين
+
+621
+00:53:51,150 --> 00:53:57,990
+الثمانية هذا روح أحوله لعشري آه
+
+622
+00:53:57,990 --> 00:54:03,270
+يا صاحبي لأن هذه هتكون ستة عشر أس سالب واحد 16 أس صفر
+
+623
+00:54:03,270 --> 00:54:09,150
+16 أس واحد 16 أس اثنين وهنا ثمانية أس سالب اثنين 
+
+624
+00:54:09,150 --> 00:54:13,250
+ثمانية أس سالب واحد ثمانية أس صفر ثمانية أس 
+
+625
+00:54:13,250 --> 00:54:17,310
+واحد ثمانية أس اثنين ثمانية أس ثلاثة اضرب واجمع 
+
+626
+00:54:17,310 --> 00:54:22,550
+هيطلع معك نفس الرقم مش مصدق؟ استخدم الـ calculator
+
+627
+00:54:22,550 --> 00:54:26,330
+وحسبه بعد المحاضرة طيب الآن أنا بدي أحول العكس 
+
+628
+00:54:26,330 --> 00:54:30,550
+بدي أحول من octal لـ hexadecimal
+
+629
+00:54:37,680 --> 00:54:43,980
+تعال نشوف الرقم هذا اللي كتبناه خمسة خمسة سبعة
+
+630
+00:54:43,980 --> 00:54:51,840
+اثنين point ثلاثة أربعة هذا بالـ octal ثمانية بدي
+
+631
+00:54:51,840 --> 00:54:57,140
+أحوله الآن لـ Hexadecimal بدي أحوله الآن لـ Hexadecimal 
+
+632
+00:54:57,140 --> 00:55:00,340
+في
+
+633
+00:55:00,340 --> 00:55:02,740
+ناس شغالة بتحسب بالـ calculator خدها بعض المحاضرة 
+
+634
+00:55:02,740 --> 00:55:03,100
+طيب
+
+635
+00:55:07,570 --> 00:55:11,030
+أكبر digit عندي سبعة على ثلاث خانات بالـ binary 
+
+636
+00:55:11,030 --> 00:55:17,490
+تمام؟ وبالتالي كل خانة بالـ binary بدك تمثلها بثلاث
+
+637
+00:55:17,490 --> 00:55:21,050
+خانات.. عفوا كل خانة بالـ octal بدك تمثلها بثلاثة
+
+638
+00:55:21,050 --> 00:55:25,130
+بالـ binary على مبدأ هي نفس العدد واحد اثنين أربعة 
+
+639
+00:55:25,130 --> 00:55:28,890
+بس بديش ثمانية أنا الآن واحد اثنين أربعة الأربعة
+
+640
+00:55:28,890 --> 00:55:39,910
+صفر صفر واحد ثلاثة واحد واحد صفر هي
+
+641
+00:55:39,910 --> 00:55:43,810
+الفاصلة ثلاثة واحد واحد صفر هي الفاصلة ثلاثة واحد
+
+642
+00:55:43,810 --> 00:55:46,410
+واحد صفر هي الفاصلة ثلاثة واحد واحد صفر هي الفاصلة
+
+643
+00:55:46,410 --> 00:55:47,390
+ثلاثة واحد واحد صفر هي الفاصلة ثلاثة واحد واحد صفر
+
+644
+00:55:47,390 --> 00:55:48,210
+هي الفاصلة ثلاثة واحد واحد صفر هي الفاصلة ثلاثة
+
+645
+00:55:48,210 --> 00:55:48,790
+واحد واحد صفر هي الفاصلة ثلاثة واحد واحد صفر هي
+
+646
+00:55:48,790 --> 00:55:49,290
+الفاصلة ثلاثة واحد واحد صفر هي الفاصلة ثلاثة واحد
+
+647
+00:55:49,290 --> 00:55:51,670
+واحد صفر هي الفاصلة ثلاثة واحد واحد صفر هي الفاصلة
+
+648
+00:55:51,670 --> 00:55:55,510
+ثلاثة واحد واحد صفر هي الفاصلة ثلاثة واحد واحد صفر
+
+649
+00:55:55,510 --> 00:56:05,670
+هي الفاصلة ثلاثة واحد واحد صفر هي الفاصلة عشان
+
+650
+00:56:05,670 --> 00:56:09,930
+أحول الـ hexadecimal بدي أخده أربعات عكس الشغل اللي
+
+651
+00:56:09,930 --> 00:56:19,370
+اشتغلناه سابقًا هي أربعة هي أربعة وهي أربعة الآن هي
+
+652
+00:56:19,370 --> 00:56:30,130
+أربعة وبضيف صفرين الآن بدي أبدأ أحسب صفر سبعة
+
+653
+00:56:30,130 --> 00:56:31,650
+فاصلة
+
+654
+00:56:33,240 --> 00:56:39,340
+عشرة، اللي هي إيه؟ اللي هي ثمانية واثنين عشرة، 
+
+655
+00:56:39,340 --> 00:56:42,700
+ليش خمسة اثنين يا أخو؟ هذا أربع خانات، هذا أربع
+
+656
+00:56:42,700 --> 00:56:47,300
+خانات، مظبوط؟ واحد، اثنين، أربعة، ثمانية ثمانية و
+
+657
+00:56:47,300 --> 00:56:51,720
+اثنين، عشرة، فهي بإيه؟ اللي بعده؟ سبعة، سبعة،
+
+658
+00:56:51,720 --> 00:56:54,200
+سبعة، سبعة، سبعة، سبعة، سبعة، سبعة، سبعة، سبعة،
+
+659
+00:56:54,200 --> 00:56:54,700
+سبعة، سبعة، سبعة، سبعة، سبعة، سبعة، سبعة، سبعة،
+
+660
+00:56:54,700 --> 00:56:59,700
+سبعة، سبعة، سبعة، سبعة، سبعة، سبعة،
+
+661
+00:56:59,700 --> 00:57:01,920
+سبعة، سبعة، سبعة، سبعة، سبعة، سبعة، س
+
+662
+00:57:07,430 --> 00:57:11,030
+تمام، الآن لو أنا جيت أديتك رقم binary وقلت لك
+
+663
+00:57:11,030 --> 00:57:17,610
+أعطيني يا octal، شو تساوي؟ أديتك binary وقلت لك
+
+664
+00:57:17,610 --> 00:57:22,710
+أعطيني يا octal جسمه ثلاث خانات طبعًا أحوّلك الرقم 
+
+665
+00:57:22,710 --> 00:57:25,530
+لمكانه الـ data key هي binary قلت لك الـ DNA 
+
+666
+00:57:25,530 --> 00:57:28,770
+hexadecimal جسمه على أربع خانات وبتحسب على السريع
+
+667
+00:57:28,770 --> 00:57:31,830
+تطلع على الرقم اللي موجود معك لأن العملية اللي
+
+668
+00:57:31,830 --> 00:57:35,830
+غير هي كده هتكون طويلة ومملة عارف ليش؟ هين عاملًا
+
+669
+00:57:35,830 --> 00:57:41,810
+نضرب اثنين أس 16 أس صفر 16 أس واحد 16 أس اثنين 16 أس ثلاثة لو
+
+670
+00:57:41,810 --> 00:57:46,580
+أضفت كمان digit أنا، مصبوط؟ ولو العكس لما بيتحول من
+
+671
+00:57:46,580 --> 00:57:49,840
+decimal لـ hexadecimal بيبقى تصير الجسم عالص اتناش
+
+672
+00:57:49,840 --> 00:57:53,740
+وتحتفظ بالباقي والجسم عالص اتناش بتهيأ لي بدون 
+
+673
+00:57:53,740 --> 00:57:57,980
+calculator مش هتظبط معانا كثير ولا لا؟ لكن هيك أنا
+
+674
+00:57:57,980 --> 00:58:01,060
+أقدر أحول على السريع تعال ناخد آخر مثال في موضوع
+
+675
+00:58:01,060 --> 00:58:09,280
+التحويل لو أنا جيت وقلت لك نمسح
+
+676
+00:58:09,280 --> 00:58:15,000
+اللوح هيك بيكون هو نفس المثال هنا ما بتعشي
+
+677
+00:58:15,000 --> 00:58:41,320
+111011110110110110110110110110110110110110110110110110110101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101
+
+678
+00:58:42,910 --> 00:58:46,550
+لـ octal مباشرة ما يكونش عندك مشكلة أنه والله أنا بدي
+
+679
+00:58:46,550 --> 00:58:49,830
+أروح أشتغل كده؟ لأ لأ جسم لهذا الرقم على three
+
+680
+00:58:49,830 --> 00:59:01,450
+digits واحد اثنين ثلاثة أربعة خمسة ستة وهي صفر
+
+681
+00:59:01,450 --> 00:59:09,110
+سبعة هي واحد اثنين ثلاثة وبحط صفرين هنا مية في
+
+682
+00:59:09,110 --> 00:59:14,350
+المية الآن كل بساطة يا محمد وركز معايا الآن واحد
+
+683
+00:59:14,350 --> 00:59:16,670
+اثنين أربعة لأن ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث
+
+684
+00:59:16,670 --> 00:59:19,750
+ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث
+
+685
+00:59:19,750 --> 00:59:25,130
+ثلاث ثلاث
+
+686
+00:59:25,130 --> 00:59:28,450
+ثلاث
+
+687
+00:59:28,450 --> 00:59:33,530
+ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث
+
+688
+00:59:33,530 --> 00:59:34,010
+ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث ثلاث
+
+689
+00:59:34,010 --> 00:59:41,530
+ثلاث ثلاث ثلاث الرقم هذا هيو بالـ octal مش صعب الأمر و
+
+690
+00:59:41,530 --> 00:59:46,090
+لا لا طبيعي يا ويلكوا إذا واحد فيكم بيغلط فيه في 
+
+691
+00:59:46,090 --> 00:59:49,330
+الامتحان اللي بيغلط في سؤال زي هذا في الامتحان مش 
+
+692
+00:59:49,330 --> 00:59:53,170
+بس هيخسر علامته هو هيجرى معاه ضعف العلامة كمان ده في
+
+693
+00:59:53,170 --> 01:00:01,770
+علامة السؤال بالـ minus هيسحبك هاي
+
+694
+01:00:01,770 --> 01:00:03,630
+octal هذا هيك octal
+
+695
+01:00:08,180 --> 01:00:12,700
+نفس الجواب بس طبعًا أنا قلت لأ السنة شوية هذا
+
+696
+01:00:12,700 --> 01:00:19,740
+binary يا صاحبي هذا binary أيوة حولته لـ octal نفس
+
+697
+01:00:19,740 --> 01:00:24,480
+الرقم لو أنا بدي أحوله ولا أكتب رقم تاني خليه نفسه
+
+698
+01:00:24,480 --> 01:00:30,760
+خليه نفسه أنا بدي أحوله لـ hexadecimal إيش
+
+699
+01:00:30,760 --> 01:00:34,840
+بدي أشتغل أربعة هاي واحدة اثنين
+
+700
+01:00:38,890 --> 01:00:44,710
+ثلاثة أربعة تجيب معك ألوان خمسة مش بحاجة نضيف 
+
+701
+01:00:44,710 --> 01:00:53,330
+أصفر خلصنا وهنا أي واحد أي اثنين وهي فيها نضيف نار
+
+702
+01:00:53,330 --> 01:01:00,530
+وصفرين هن تعالى احسب جدشها واحد اثنين أربعة
+
+703
+01:01:00,530 --> 01:01:05,330
+ثمانية اه ده أربعة ما تغيرش عليه حاجة وهذا سبعة
+
+704
+01:01:05,330 --> 01:01:06,550
+وهذا
+
+705
+01:01:09,600 --> 01:01:18,520
+خمسة، خمسة، خمسة، خمسة، خمسة، خمسة، خمسة، خمسة،
+
+706
+01:01:18,520 --> 01:01:23,000
+خمسة، خمسة، خمسة، خمسة، خمسة، خمسة، خمسة، خمسة،
+
+707
+01:01:23,000 --> 01:01:23,360
+خمسة، خمسة، خمسة، خمسة، خمسة، خمسة، خمسة، خمسة،
+
+708
+01:01:23,360 --> 01:01:23,740
+خمسة، خمسة، خمسة، خمسة، خمسة، خمسة، خمسة، خمسة،
+
+709
+01:01:23,740 --> 01:01:38,440
+خمسة، خمسة، خمسة، خمسة، خمسة
+
+710
+01:01:41,070 --> 01:01:44,050
+باسم اللغة الأبدية الإنجليزية جاعد نطلع اللي هو
+
+711
+01:01:44,050 --> 01:01:49,430
+هنا نطلع على اللوحة D ثلاثة عشر وين وين هن هذا
+
+712
+01:01:49,430 --> 01:01:54,670
+ثلاثة عشر D D
+
+713
+01:01:54,670 --> 01:01:59,030
+واصفين إن احنا ما صدقناك هاش يا ريس تمام يا شباب
+
+714
+01:01:59,030 --> 01:02:04,050
+الأمور؟ تمام تمام هيك الموضوع هذا خلاص يعني أنا 
+
+715
+01:02:04,050 --> 01:02:08,110
+جا فله عليه ما بقى لي كلام بالمناسبة إذا أنت
+
+716
+01:02:08,110 --> 01:02:10,210
+ما حاولتش تشتغل في البيت على الموضوع هذا
+
+717
+01:02:14,680 --> 01:02:20,100
+هيغير طيب يا
+
+718
+01:02:20,100 --> 01:02:24,040
+رجل حط أي أرقام و اشتغل عليها بنفس الكيفية مش
+
+719
+01:02:24,040 --> 01:02:27,640
+هتفهم .. شوف أهم شغلة .. أهم شغلة في الموضوع لما
+
+720
+01:02:27,640 --> 01:02:33,220
+تجسم الآن إذا قلب منك Octal؟ ثلاثة قلب منك Hexa؟
+
+721
+01:02:33,220 --> 01:02:37,520
+أربعة والعكس صحيح لو أدات Hexa Decimal وجالك اكتبه
+
+722
+01:02:37,520 --> 01:02:42,010
+Binary فتحطه على أربعة digit مصبوط؟ تصير تكتب 4
+
+723
+01:02:42,010 --> 01:02:45,450
+أعداد يكتب الـ Binary و الـ Octal 3 طيب ننتقل يا
+
+724
+01:02:45,450 --> 01:02:49,630
+شباب لموضوع جديد أنواع الأرقام أو مجموعات الأرقام
+
+725
+01:02:49,630 --> 01:02:54,550
+الآن لما أنا بتكلم على أنواع الأعداد أو مجموعات
+
+726
+01:02:54,550 --> 01:02:57,950
+الأرقام اللي عندي أو مجموعات العد Natural Number
+
+727
+01:02:57,950 --> 01:03:02,410
+الأعداد الطبيعية الأعداد الصحيحة الأعداد الحقيقية
+
+728
+01:03:02,410 --> 01:03:06,610
+الأعداد النسبية الأعداد الغير نسبية الأعداد
+
+729
+01:03:06,610 --> 01:03:12,240
+الحقيقية الأعداد التخيلية و ال Complex Number
+
+730
+01:03:12,240 --> 01:03:18,300
+الاعداد المركبة لأ مش معقدة مركبة كلمة معقدة
+
+731
+01:03:18,300 --> 01:03:21,300
+هترمي ليها على جانب اسمها مركبة ما حأقولك ليش
+
+732
+01:03:21,300 --> 01:03:25,000
+مركبة و ال Infinity Currency يعني كلهم شغلات
+
+733
+01:03:25,000 --> 01:03:28,740
+بسيطة يمكن نخلص ال Chapter فيهم Natural Number
+
+734
+01:03:28,740 --> 01:03:33,440
+اتكلمنا عليهم يقولوا هي عبارة عن من واحد إلى ما لا 
+
+735
+01:03:33,440 --> 01:03:37,200
+نهاية و كانت تستخدم بالأساس للعدد و لما نتكلم عن
+
+736
+01:03:37,200 --> 01:03:41,900
+ال Zero هنتكلم عن Star أو عن صفر ما فيش فيها أرقام
+
+737
+01:03:41,900 --> 01:03:45,280
+سالبة تمام وغالبا مستخدم من أجل ال Ordering
+
+738
+01:03:45,280 --> 01:03:49,640
+الترقيم صح عشان اتحدد ال Quantity اللي موجودة عندي
+
+739
+01:03:49,640 --> 01:03:55,160
+اه أنا نسيت ناسي ال Prime العدد
+
+740
+01:03:55,160 --> 01:04:00,020
+الأولية ايش العدد الأولى هو عبارة عن عدد صحيح موجب
+
+741
+01:04:00,020 --> 01:04:07,480
+تمام لا يقبل قسم إلا على نفسه طبعا كل أرقام تقبل
+
+742
+01:04:07,480 --> 01:04:09,040
+قسم على واحد تمام
+
+743
+01:04:11,850 --> 01:04:17,070
+في قاعدة أساسية بتقول كالتالي إن أي عدد مركب ايش
+
+744
+01:04:17,070 --> 01:04:20,070
+العدد المركب اللي هو غير أولي مثل ايش مثل الأربعة
+
+745
+01:04:20,070 --> 01:04:26,210
+مثل الثمانية عشر مثل الستة و الثلاثين هذه أعداد غير أولية
+
+746
+01:04:26,210 --> 01:04:30,610
+الواحد و العشرون عدد غير أولي فأي عدد يقسم لصنفين زي
+
+747
+01:04:30,610 --> 01:04:36,030
+ما هي فردي و زوجي في لهم تصنيف ثاني عدد أولي و عدد
+
+748
+01:04:36,030 --> 01:04:40,770
+مركب غير أولي مركب بنسميه عدد مركب Composite
+
+749
+01:04:40,770 --> 01:04:48,220
+Number الآن القاعدة بتقول أي عدد مركب يمكن كتابته
+
+750
+01:04:48,220 --> 01:04:56,180
+على صورة ضرب أو ضرب مجموعة من ال Primes يعني ممكن
+
+751
+01:04:56,180 --> 01:05:00,460
+تحلله أنت لمجموعة من الأرقام الأولية المضروبة في
+
+752
+01:05:00,460 --> 01:05:07,140
+بعضها مثل ال 18 شو رايكوا في ال 18 يا شباب 18
+
+753
+01:05:10,340 --> 01:05:14,820
+عدد مركب ولا أولي ايه؟ مركب لأنه بيقبل القسم على
+
+754
+01:05:14,820 --> 01:05:21,540
+2 و على 3 و على 6 و على 9، مصبوط؟ طيب القانون بيقول
+
+755
+01:05:21,540 --> 01:05:25,840
+إن هذا ممكن يحلل أو يكتب على صورة ضرب مجموعة من
+
+756
+01:05:25,840 --> 01:05:30,360
+ال Primes مين المجموعة هذه؟ هذا أساسا هو عبارة عن
+
+757
+01:05:30,360 --> 01:05:36,580
+2×9 والتسعة هذه عبارة عن 3×3
+
+758
+01:05:38,740 --> 01:05:44,000
+معناته الثمانية عشر هذا قدرت أمثله أنا على أنه عبارة
+
+759
+01:05:44,000 --> 01:05:47,340
+عن مجموعة أو حاصل ضرب مجموعة من ال Primes أو
+
+760
+01:05:47,340 --> 01:05:52,680
+مجموعة من الأعداد الأولية لكن السؤال اللي بيطرح
+
+761
+01:05:52,680 --> 01:05:57,360
+نفسه دائما كيف أنا أعرف العدد هذا Prime ولا مش 
+
+762
+01:05:57,360 --> 01:05:59,580
+Prime عدد أولي ولا غير أولي
+
+763
+01:06:02,380 --> 01:06:06,100
+ايوه بيقبل القسم اللي غير على نفسه هو على الواحد
+
+764
+01:06:06,100 --> 01:06:10,160
+صحيح طب لو أنا أتيت يا صاحب و قلت لك 123 عدد أولي
+
+765
+01:06:10,160 --> 01:06:15,700
+قسم على القالة الحاسبة و لو جالك المراقب في قاعة
+
+766
+01:06:15,700 --> 01:06:19,660
+الامتحان الدكتور يالد الشام يكتب لك على الظرف ممنوع
+
+767
+01:06:19,660 --> 01:06:26,160
+استخدام القالة الحاسبة هتأكل هوا صح عافية فلع
+
+768
+01:06:26,160 --> 01:06:31,220
+الجوال محضرهش أبسطها بتسجل في المادة .. الحل ..
+
+769
+01:06:31,220 --> 01:06:36,820
+ناخد أقرب جزء .. ناخد أقرب جزء .. ناخد أقرب جزء ..
+
+770
+01:06:36,820 --> 01:06:40,420
+ناخد أقرب جزء .. ناخد أقرب جزء .. ناخد أقرب جزء ..
+
+771
+01:06:40,420 --> 01:06:42,940
+ناخد أقرب جزء .. ناخد أقرب جزء .. ناخد أقرب جزء ..
+
+772
+01:06:42,940 --> 01:06:45,460
+ناخد أقرب جزء .. ناخد أقرب جزء .. ناخد أقرب جزء ..
+
+773
+01:06:45,460 --> 01:06:46,260
+ناخد أقرب جزء .. ناخد أقرب جزء .. ناخد أقرب جزء ..
+
+774
+01:06:46,260 --> 01:06:46,480
+ناخد أقرب جزء .. ناخد أقرب جزء .. ناخد أقرب جزء ..
+
+775
+01:06:46,480 --> 01:06:52,140
+ناخد أقرب جزء .. ناخد أقرب جزء .. ناخد أقرب جزء طبعا؟
+
+776
+01:06:52,140 --> 01:06:56,600
+الآن عشان تعرف العدد هذا أولي ولا مش أولي ما فيش
+
+777
+01:06:56,600 --> 01:07:01,580
+داعي تدور في مية و عشرين رقم قبله تشوف هل مية
+
+778
+01:07:01,580 --> 01:07:05,140
+بيقبل القسم عليهم ولا لأ .. ده مشكلة الآن خطوة رقم
+
+779
+01:07:05,140 --> 01:07:10,080
+واحد خد الجذر تبع المية و ثلاثة و عشرين والله يا
+
+780
+01:07:10,080 --> 01:07:12,600
+دكتور ما بعرف والله اللي عاوزي منها صعبة معاك حاجة
+
+781
+01:07:12,600 --> 01:07:18,610
+خد أقرب جذر إلها 11×11 هي 121 كثير دي بيت كاش 11×11
+
+782
+01:07:18,610 --> 01:07:23,670
+خد 12×12 144 برضه جاي دي القريب لها الآن لاحظ
+
+783
+01:07:23,670 --> 01:07:28,930
+فأقرب جذر هذه إما هتقول 11 أو 12 مش هتفرق كثير
+
+784
+01:07:28,930 --> 01:07:35,310
+معانا والله كمان؟ خطوة رقم اثنين اروح دور أو هتلاقي
+
+785
+01:07:35,310 --> 01:07:38,890
+الأعداد الأولية اللي أقل من الرقم هذا من قيمة
+
+786
+01:07:38,890 --> 01:07:44,910
+الجذر مين هم؟ اثنين ثلاثة خمسة سبعة أحد عشر خلصوا
+
+787
+01:07:44,910 --> 01:07:48,650
+أربعة خلاص أرقام لأن بقى اللي عند الحسبة بسيطة هل
+
+788
+01:07:48,650 --> 01:07:52,950
+العدد 123 بيقبل القسم على أي واحد من هدول ولا لأ
+
+789
+01:07:52,950 --> 01:07:57,890
+إذا قبل القسم على أي واحد من هدول فهو مركب غير
+
+790
+01:07:57,890 --> 01:08:04,980
+أولي Otherwise فالعدد هذا بيكون عدد أولي 123 بيقبل
+
+791
+01:08:04,980 --> 01:08:11,100
+القسم على 2؟ على 3؟ لأ على 5؟ لأ على 7؟ برضه لأ
+
+792
+01:08:11,100 --> 01:08:16,140
+على 11؟ لأ فال 123 عبارة عن عدد أولي طيب دكتور أنت
+
+793
+01:08:16,140 --> 01:08:20,500
+قاعد تقول لأ لأ لأ كيف؟ كيف عرفت إنه ما بيقبلش
+
+794
+01:08:20,500 --> 01:08:23,740
+القسم على 7 بدون ما تحسب؟ لأ أنا كنت بعمل حسبة
+
+795
+01:08:23,740 --> 01:08:28,480
+بسيطة في دماغي لأن كل رقم فيه رخصية الآن ما بيقبلش
+
+796
+01:08:28,480 --> 01:08:35,650
+القسم على 2 بيقبل على ثلاثة؟ خلّيني واحدة واحدة
+
+797
+01:08:35,650 --> 01:08:38,790
+ما بيقبلش القسم على اثنين لأنه فردي بيقبل القسم على
+
+798
+01:08:38,790 --> 01:08:44,750
+ثلاثة أجمع ال Digits اللي موجودات واحد و اثنين
+
+799
+01:08:44,750 --> 01:08:49,470
+ثلاثة و ثلاثة ستة بيقبل القسم على ثلاثة الرقم هذا
+
+800
+01:08:49,470 --> 01:08:51,950
+فالعدد
+
+801
+01:09:00,740 --> 01:09:06,580
+Composite مركب غير أولي غير أولي فبدك أنت تحسب
+
+802
+01:09:06,580 --> 01:09:10,840
+الآن كيف أتعرف إن هو هالد يجبل ولا ما بيقبلش القسم
+
+803
+01:09:10,840 --> 01:09:14,900
+على الأعداد الأولية البسيطة بالمناسبة لو أنا كمان
+
+804
+01:09:14,900 --> 01:09:17,820
+طلعت لك في الأرقام فوق في التلاتمية ولما بأخد
+
+805
+01:09:17,820 --> 01:09:22,540
+الجذر هتبقى الأمور بسيطة وبالتالي الأعداد الأولية
+
+806
+01:09:22,540 --> 01:09:27,320
+هتكون عندك محصورة تعال نشوف على السريع كيف ممكن
+
+807
+01:09:27,320 --> 01:09:35,500
+نشتغل كمان مثال يعني العدد مش أولي 127 127
+
+808
+01:09:35,500 --> 01:09:41,460
+نفس الكلام 127 أقرب جذر طب أنا بتعمل ترجعي الرقم
+
+809
+01:09:41,460 --> 01:09:46,640
+الجذر أقرب جذر قداش الشباب أنا بتحط 127 تحت الجذر
+
+810
+01:09:46,640 --> 01:09:50,280
+مزاية
+
+811
+01:09:50,280 --> 01:09:57,620
+ال 11 أقرب رقم موجود مصبوط تقريبا 11 بيقبل القسم
+
+812
+01:09:57,620 --> 01:10:02,000
+على 3؟ لأ .. طيب الأعداد الأولية اللي بتجربها 2 ..
+
+813
+01:10:02,000 --> 01:10:10,800
+3 .. 5 .. 7 .. 11 بيقبل القسم على 2؟ لأ خانة الآحاد
+
+814
+01:10:10,800 --> 01:10:13,920
+.. عدد فردي بيقبل القسم على 3 اجمع ال Digits هدول
+
+815
+01:10:13,920 --> 01:10:19,820
+10 لا تقبل القسم على 3 بيقبل القسم على 5؟ لأ لازم
+
+816
+01:10:19,820 --> 01:10:24,650
+يكون خانة الآحاد إما 0 أو 5 بيقبل قسم على سبعة لا
+
+817
+01:10:24,650 --> 01:10:30,790
+يقبل قسم على سبعة ولا قسم يقبل قسم 11 فال 127 is a
+
+818
+01:10:30,790 --> 01:10:38,050
+Prime عدد أولي أنا
+
+819
+01:10:38,050 --> 01:10:42,710
+قلت من القعر قلت مجموع عندي التلاتة فقط طيب عشان
+
+820
+01:10:42,710 --> 01:10:50,050
+هيك في عندي إن لازم تتذكر مع بعض خواص القسمة أو
+
+821
+01:10:50,050 --> 01:10:55,410
+قابليّة القسمة ايش بدك تسأل استاذ فضل اه احنا
+
+822
+01:10:55,410 --> 01:11:02,070
+اشقولنا بأخد الرقم تحت الجذر أقرب جدا له قداش 11
+
+823
+01:11:02,070 --> 01:11:05,250
+لأن خد ال .. احنا قبل شوية كانت القاعدة بتقول أي
+
+824
+01:11:05,250 --> 01:11:09,510
+عدد مركب هو عبارة بنقدر نكتب على صورة حاصل ضرب
+
+825
+01:11:09,510 --> 01:11:12,570
+جمعة من ال Primes ال Primes هذي أقل منه المحق
+
+826
+01:11:12,570 --> 01:11:17,470
+المركبات العدد المركبات الأولية للعدد تمام فمين
+
+827
+01:11:17,470 --> 01:11:21,840
+اللي أقل من ال 11؟ الأعداد الأولية هيهم اللي
+
+828
+01:11:21,840 --> 01:11:25,240
+موجودين بناء على القاعدة السابقة كمان مرة ليش أنا
+
+829
+01:11:25,240 --> 01:11:27,620
+اخترت اسمه اللي بيسأل ليش أنا اخترت الأعداد
+
+830
+01:11:27,620 --> 01:11:31,040
+الأولية الأقل من ال 11 لأن الكون قولنا قبل شوية
+
+831
+01:11:31,040 --> 01:11:36,180
+القاعدة اللي بتقول إن أي عدد مركب هو عبارة عن حاصل
+
+832
+01:11:36,180 --> 01:11:41,220
+ضرب مجموعة من ال Primes بكل تأكيد مش هتكون مجموعة
+
+833
+01:11:41,220 --> 01:11:45,020
+ال Primes هتكبر منه فشو رأيكوا؟ عوامل الأعداد
+
+834
+01:11:45,020 --> 01:11:49,200
+الأولية يعني لازم يتحللوا لصورة من الأعداد الأولية
+
+835
+01:11:49,200 --> 01:11:54,620
+فهنا لما أنا اخترت أقرب جذر إله كانت 11 الأعداد
+
+836
+01:11:54,620 --> 01:11:57,980
+الأولية الأقل من 11 هيها وبناء عليها أنا حكمت إن
+
+837
+01:11:57,980 --> 01:12:08,440
+127 is a Prime لو أنا أخد مثال رقم أسهل 31 أول
+
+838
+01:12:08,440 --> 01:12:18,130
+إيه؟ مباشرة أخد الرقم تحت الجذر أقرب عدد له 6، 6 ل
+
+839
+01:12:18,130 --> 01:12:24,510
+36، الرقم هذا أقرب ل 36 من 25، مصبوط؟ طيب، من
+
+840
+01:12:24,510 --> 01:12:31,230
+الأعداد الأولية الأقل من 6؟ 2، 3 و 5، ما بيقبلش القسم 
+
+841
+01:12:31,230 --> 01:12:35,900
+على 2 لأنه فردي؟ واحد و ثلاثة أربعة لا تقبل القسمة على 
+
+842
+01:12:35,900 --> 01:12:39,860
+ثلاثة خمسة الأحد واحد لا هي صفر ولا هي خمسة
+
+843
+01:12:39,860 --> 01:12:42,780
+وبالتالي لا يقبل القسمة على خمسة في هذا العدد عدد
+
+844
+01:12:42,780 --> 01:12:48,680
+أولي أولي لو أنا أتيت قلت لك اثنين و ثلاثين أولي لو
+
+845
+01:12:48,680 --> 01:12:51,600
+أنا أتيت قلت لك اثنين و ثلاثين اثنين و ثلاثين تحت
+
+846
+01:12:51,600 --> 01:12:58,820
+الجذر أقرب جذرها ستة واحد خمس على خمس تمام؟ ماشي
+
+847
+01:12:58,820 --> 01:13:01,600
+الحالة إحنا خلّينا نقول بنطبق عليها نفس القانون أقرب
+
+848
+01:13:01,600 --> 01:13:06,970
+جذر لها ستة ستة معناته اثنين ثلاثة خمسة يقبل
+
+849
+01:13:06,970 --> 01:13:09,770
+القسمة على اثنين يقبل القسمة على اثنين فانسى
+
+850
+01:13:09,770 --> 01:13:14,870
+الموضوع ما تكملش فهذا عدد مركب عدد مركب عدد مركب
+
+851
+01:13:14,870 --> 01:13:19,530
+تمام؟ طيب هنبدأ محاضرتنا من عند ال primes المحاضرة
+
+852
+01:13:19,530 --> 01:13:23,950
+الجاية إن شاء الله نبدأ من عند ال primes ونراجع مع
+
+853
+01:13:23,950 --> 01:13:27,490
+بعض خلاص القسمة للأعداد البسيطة اللي عندنا يعطيكم
+
+854
+01:13:27,490 --> 01:13:27,990
+العافية شباب 
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/ASgeGNRuTY8_postprocess.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/ASgeGNRuTY8_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..15ceba2c849316f67de7b0ecaf86bce566ace168
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/ASgeGNRuTY8_postprocess.srt
@@ -0,0 +1,3416 @@
+1
+00:00:20,970 --> 00:00:22,750
+باسم الله و الحمد لله و الصلاة والسلام على رسول
+
+2
+00:00:22,750 --> 00:00:25,730
+الله بدأت ان شابه اعتدر على التخيل البسيط هذا لكن
+
+3
+00:00:25,730 --> 00:00:28,430
+الأخرني ان كنت وعدكوا أحملكوا الكتاب و أحملكوا ال
+
+4
+00:00:28,430 --> 00:00:32,730
+slides فاللي اتذكرتهم في أخر لحظة فحملتهم قبل ما
+
+5
+00:00:32,730 --> 00:00:35,550
+أجيكوا ان شاء اللهالله يكرهكم كنا بدنا المحاضرة
+
+6
+00:00:35,550 --> 00:00:38,950
+الماضية نتكلم عن ال numbers الأعداد وقلنا في
+
+7
+00:00:38,950 --> 00:00:41,950
+علاقتنا مع ال numbers بدت من عمت أظافرنا و لما
+
+8
+00:00:41,950 --> 00:00:46,130
+بدينا نتميز بين الشغلات الكتيرة و القليلة و من ثم
+
+9
+00:00:46,130 --> 00:00:49,910
+بدينا نعد على أصابعنا و اتعلمنا الأرقام ومشينا
+
+10
+00:00:49,910 --> 00:00:54,240
+معاهم بالتدريجبقعد هيك اتكلمنا على نظرية المجموعات
+
+11
+00:00:54,240 --> 00:00:56,260
+ونقول ان المجموعة هي عبارة عن collection of
+
+12
+00:00:56,260 --> 00:01:00,120
+arbitrary objects عناصرها ممنوع اتكرار فيهم او
+
+13
+00:01:00,120 --> 00:01:03,920
+اتكرار العناصر فيها بدون فائدة الترتيب العناصر غير
+
+14
+00:01:03,920 --> 00:01:09,710
+مهم لكن بعض المجموعاتهي فعليًا مرتبة مثل الأرقام
+
+15
+00:01:09,710 --> 00:01:12,070
+جمعات الأعداد اللي احنا بنعرفها لما بنتش اتكلم على
+
+16
+00:01:12,070 --> 00:01:15,730
+جمعة الأعداد الطبيعية واحد اتنين تلاتة اربع لما
+
+17
+00:01:15,730 --> 00:01:20,370
+بنتش اتكلم على ال prime اتنين تلاتة خمسة سبعة وكل
+
+18
+00:01:20,370 --> 00:01:23,470
+عدد من الأعداد هذا له position ومنها جاء الاسم
+
+19
+00:01:23,470 --> 00:01:26,550
+well-ordered set لما باجي بسأل ايش العدد ال prime
+
+20
+00:01:26,550 --> 00:01:30,570
+التالتمباشرة هتقولوا الخمسة ليش مقولناش سبعة او
+
+21
+00:01:30,570 --> 00:01:33,390
+ليش مقولناش تلاتة لأنه فعليا هو التالت في المجموعة
+
+22
+00:01:33,390 --> 00:01:36,510
+وبناء على هيكسر في عندي مجموعات well ordered
+
+23
+00:01:37,810 --> 00:01:41,230
+Elements من المجموعات أو من عمليات المجموعات
+
+24
+00:01:41,230 --> 00:01:44,710
+والترتيب ظهرت عندنا عمليات الجمع واليساوي أو
+
+25
+00:01:44,710 --> 00:01:48,690
+المساواة وقلنا الجمع هي عبارة عن add more elements
+
+26
+00:01:48,690 --> 00:01:52,430
+to set كل مرة بنضيف واحد على سبيل مثال الفرق بين
+
+27
+00:01:52,430 --> 00:01:55,970
+العنصر الأول والتاني في المجموعة العدد الطبيعية
+
+28
+00:01:55,970 --> 00:02:00,130
+واحد كذلك فرق بين أي عنصرين متتالين في المجموعة
+
+29
+00:02:00,130 --> 00:02:06,390
+الطبيعية وكذلك واحد وبالتالي ظهرت عندنا الآنالـ
+
+30
+00:02:06,390 --> 00:02:10,090
+Add والـ Equal بعد ذلك اتكلمنا عن الـ Zero وقلنا
+
+31
+00:02:10,090 --> 00:02:13,570
+الـ Zero هو مش من ضمن الاعداد الطبيعية لكن اضفنا
+
+32
+00:02:13,570 --> 00:02:16,830
+للمجموعة الاعداد الطبيعية شريطة انها اما نقول N
+
+33
+00:02:16,830 --> 00:02:21,890
+Star او N Zero وشوفنا علاقته مع الاعداد من ناحية
+
+34
+00:02:21,890 --> 00:02:26,190
+جمع وطرح وضرب وجسمة وقلنا اهم شغلة ان القسمة على
+
+35
+00:02:26,190 --> 00:02:31,000
+الصفر عملية غيرمعرفة عملية غير معرفة وبعد هيك
+
+36
+00:02:31,000 --> 00:02:35,420
+انتقلنا او مهد وجود الصفر والاعداد الطبيعية لظهور
+
+37
+00:02:35,420 --> 00:02:40,020
+الأرقام السالبة وشوفنا عملية الجمع والطرح ما بين
+
+38
+00:02:40,020 --> 00:02:43,320
+الاعداد السالبة لعدد موجب وعدد سالب بما انه صار في
+
+39
+00:02:43,320 --> 00:02:46,720
+عند سالب وموجب وكذلك شوفنا عملية الضرب القسم بين
+
+40
+00:02:46,720 --> 00:02:51,080
+الاعداد الموجبة والسالبة وبعد هيك اتكلمنا على خواص
+
+41
+00:02:51,630 --> 00:02:54,530
+العمليات الحسابية اللي عندي قولنا الأربع عمليات
+
+42
+00:02:54,530 --> 00:02:58,530
+حسابية هذه اللي هي الجمع و الطرح و الضرب و الجسمة
+
+43
+00:02:58,530 --> 00:03:01,390
+binary operations يعني بتشتغل على two operands
+
+44
+00:03:01,390 --> 00:03:06,750
+وشوفنا العمليات هذه هل هي commutative إبداعية ولا
+
+45
+00:03:06,750 --> 00:03:11,370
+هي associative ولا هي distributive قولنا لما اتكلم
+
+46
+00:03:11,370 --> 00:03:14,190
+على commutative بتكلم على single operation عملية
+
+47
+00:03:14,190 --> 00:03:18,210
+واحدة فقط مسبوط وانا بدي أبدل ال two operands و
+
+48
+00:03:18,210 --> 00:03:22,430
+أفحصو لما انتقلنا على ال associative التجميعية
+
+49
+00:03:22,430 --> 00:03:25,630
+قولت أنا بتكون عندى the same operation نفس العملية
+
+50
+00:03:25,630 --> 00:03:29,070
+لكن ظهرت أكتر من مرة وبالتالي قعدت أجمع العناصر
+
+51
+00:03:29,070 --> 00:03:32,210
+اللى فى العملية بالأقواس وشوفت مين الخوار العمليات
+
+52
+00:03:32,210 --> 00:03:36,630
+ال associative ولمّا اتكلمت على التوزيع اتكلمت فقط
+
+53
+00:03:36,630 --> 00:03:40,410
+على two different operations عمليتين مختلفتين
+
+54
+00:03:40,410 --> 00:03:45,050
+تمامامثل توزيع الضرب على الجمع أو توزيع الضرب على
+
+55
+00:03:45,050 --> 00:03:47,890
+الطرح توزيع ال .. كده وشوفنا منهم فيهم عملية
+
+56
+00:03:47,890 --> 00:03:52,570
+توزيعية وغير .. وعملية غير توزيعية واتذكرنا مع بعض
+
+57
+00:03:52,570 --> 00:03:57,310
+الأولويات للعمليات الحسابية لإن هي أساس عملية
+
+58
+00:03:57,310 --> 00:04:03,770
+التوزيع مصبوط كل أقواص ضربوا جمع ضربوا قسم عفوا و
+
+59
+00:04:03,770 --> 00:04:09,570
+بعدين الجمع والطرح تماموبعد هي انتقلنا او انهينا
+
+60
+00:04:09,570 --> 00:04:15,710
+محاضرتنا عند ال base number system وقل لو وعدناكوا
+
+61
+00:04:15,710 --> 00:04:19,630
+ان نرجع نعيد من النقطة هذه عشان نتبلش محاضرتنا
+
+62
+00:04:19,630 --> 00:04:22,470
+اليوم صليوا على النبي و ركزوا معايا كويس لان
+
+63
+00:04:22,470 --> 00:04:27,000
+الموضوع سهل و مستصعبالان احنا بيقول كل نظام العد
+
+64
+00:04:27,000 --> 00:04:30,940
+تمام الحالية او المستخدمة بما فيها النظام العشر
+
+65
+00:04:30,940 --> 00:04:33,880
+اللي احنا بنعرفه والنظام الثنائي اللي احنا سمعناله
+
+66
+00:04:33,880 --> 00:04:37,380
+ال binary system تبع الكمبيوتر بيعتمدوا على شغلة
+
+67
+00:04:37,380 --> 00:04:42,180
+اسمها ال base الأساس ومن هنا جاي the base of
+
+68
+00:04:42,180 --> 00:04:46,620
+number of a number system أساس نظام العد الان احنا
+
+69
+00:04:46,620 --> 00:04:49,640
+اتفقنا سابقا ان انا في عندى في النظام العشري
+
+70
+00:04:49,640 --> 00:04:53,820
+مجموعة من ال digits اللي هم من صفر واحد اتنين لحد
+
+71
+00:04:53,820 --> 00:04:54,260
+التسعة
+
+72
+00:04:57,180 --> 00:05:00,460
+مابيش النقوة اللي احنا بستخدمها يا شباب؟ العشري
+
+73
+00:05:00,460 --> 00:05:06,440
+decimal system ال
+
+74
+00:05:06,440 --> 00:05:11,040
+base تبعته عشرة من ال base من ال base قولنا في
+
+75
+00:05:11,040 --> 00:05:13,540
+عندنا شغلتين أساسيات لازم مباشرة
+
+76
+00:05:15,950 --> 00:05:22,690
+الأولى ان ال digits المستخدمة في النظام لازم تكون
+
+77
+00:05:22,690 --> 00:05:29,110
+محصورة من الصفر لأقل من ال base بواحد او نقدر نقول
+
+78
+00:05:29,110 --> 00:05:34,390
+ان ال digits D هتكون اكبر او تساوي الصفر و اقل من
+
+79
+00:05:34,390 --> 00:05:39,500
+ال baseمن ال base هذه القاعدة مهمة جدا بالنسبة لك
+
+80
+00:05:39,500 --> 00:05:43,180
+ليش مهمة لأن لو انا اتيت اتكلمت على نظام العدد
+
+81
+00:05:43,180 --> 00:05:48,620
+ثنائي على سبيل المثال اتنين ثنائي يعني القاعدة او
+
+82
+00:05:48,620 --> 00:05:52,100
+ال base تبعت اتنين عدد ال digits جديش الشباب
+
+83
+00:05:52,100 --> 00:05:57,320
+محصوين ال digits اكبر من الأوساوي الصفر وأقل من
+
+84
+00:05:57,320 --> 00:06:01,930
+اتنين ايش الاقل من اتنين الواحد مافيش غير هيكيعني
+
+85
+00:06:01,930 --> 00:06:06,610
+صفر و واحد لما انا بدلاش اتكلم على نظام العدل عشر
+
+86
+00:06:06,610 --> 00:06:12,070
+ال decimal اللي نستخدمه ال base تبعته عشرة معناته
+
+87
+00:06:12,070 --> 00:06:16,090
+تبت محصورة ما بين الصفر والتسعة لإنه أقل من عشرة
+
+88
+00:06:16,090 --> 00:06:19,690
+إذا أنا بدأ أحط إشارة يساوي هنا يا شباب بدي أحط
+
+89
+00:06:19,690 --> 00:06:24,850
+ماقص واحد تمام؟ إذا أنا بدأ أحط هنا إشارة يساوي
+
+90
+00:06:24,850 --> 00:06:27,810
+عشان تبقى المعلومة تبقى في صح لازم أقول إن ال base
+
+91
+00:06:27,810 --> 00:06:32,520
+أقل من ال base قب واحدهذه الحالة الأولى يعني عدّبت
+
+92
+00:06:32,520 --> 00:06:37,240
+عدد او حدّبت عدد ال digits لو أنا سألتك الآن في
+
+93
+00:06:37,240 --> 00:06:42,700
+نظام العد الخماسي كام digits مورود عندك؟ حرام عليك
+
+94
+00:06:42,700 --> 00:06:47,300
+خمسة ايوة انا سألتك كام digits تمام؟ كام digits
+
+95
+00:06:47,300 --> 00:06:53,740
+خمسة؟ من هما من صفر لاربعة تمام؟ العدد يبقى مثل ال
+
+96
+00:06:53,740 --> 00:06:58,510
+base تنانا العشرةالعشري واحد مين تلاتة اربع لحد
+
+97
+00:06:58,510 --> 00:07:03,130
+التسعة عشرة digit في ال binary صفر واحد two digits
+
+98
+00:07:03,130 --> 00:07:06,710
+تمام؟ الآن لما بتكلم قلتلك كم digit في النظام
+
+99
+00:07:06,710 --> 00:07:12,610
+الخواسي خمسة مين هما؟ صفر واحد مين تلاتة اربع هذه
+
+100
+00:07:12,610 --> 00:07:16,010
+خمسة digit تمام؟ هذه الخاصية الأولى اللي أنا
+
+101
+00:07:16,010 --> 00:07:21,350
+بستنبطها من ال base الشيء التاني اللي أنا بستنبطها
+
+102
+00:07:21,350 --> 00:07:29,110
+من ال base بشكل عام انه انا فعليابقدر احدد قيمة كل
+
+103
+00:07:29,110 --> 00:07:32,950
+element ال digit xi لما انا باكتب الان لو انا اجيت
+
+104
+00:07:32,950 --> 00:07:35,730
+قولت هاي الرقم هذا في النظام العشر اللي احنا
+
+105
+00:07:35,730 --> 00:07:44,270
+بنتكلم فيه سبعمية خمسة
+
+106
+00:07:44,270 --> 00:07:49,430
+و تمانين السبعة لحالها يا شباب هيك كنا هنقرأها
+
+107
+00:07:49,430 --> 00:07:56,510
+سبعةلكن لما صارت في رقم اكبر تمام اتغير مكانها
+
+108
+00:07:56,510 --> 00:08:02,910
+بالمنزل اللي هي موجودة فيها، بصبت؟ يعني هذه سبعة،
+
+109
+00:08:02,910 --> 00:08:04,030
+بصبت؟
+
+110
+00:08:07,100 --> 00:08:12,920
+70 و هان 700 و لو ضفت كمان هتتغير حسب ال position
+
+111
+00:08:12,920 --> 00:08:17,020
+تبعتها طيب ال value تبعت ال position هذه مين اللي
+
+112
+00:08:17,020 --> 00:08:24,640
+حددها ال base ال base الآن احنا اتفقنا في أي دولة
+
+113
+00:08:24,640 --> 00:08:28,480
+العدد اللي على الأقصى اليمين بالنسبة لك اللي هي
+
+114
+00:08:28,480 --> 00:08:35,920
+الخمسة سمنها ال least significantأقل قيمة او بين
+
+115
+00:08:35,920 --> 00:08:42,060
+قصين اقل منزلة تمام؟ وهذا ال most significant
+
+116
+00:08:42,060 --> 00:08:48,100
+digit اعلى منزلة اعلى قيمة طيب .. طيب شو الفرق بين
+
+117
+00:08:48,100 --> 00:08:50,580
+ال least significant digit و ال most significant
+
+118
+00:08:50,580 --> 00:08:55,800
+digit؟ الآن ال least significant digit هي عبارة عن
+
+119
+00:08:55,800 --> 00:09:04,080
+ال base قص Zeroالـ Base أُص صفر مضروبة في مين؟ في
+
+120
+00:09:04,080 --> 00:09:08,400
+الرقم اللي موجود عندك فوق وبعد هيك بتبدأ تتحرك
+
+121
+00:09:08,400 --> 00:09:12,280
+باليسار علي اليسار و بتزيد في مين؟ بتزيد في الأُص
+
+122
+00:09:12,280 --> 00:09:17,620
+الـ Base يقطع كما هو طيب، الآن هذه الأفرط المفروضة
+
+123
+00:09:17,620 --> 00:09:24,240
+على النظام العشري هذه مضروبة في عشرة أُص صفر تمام؟
+
+124
+00:09:24,240 --> 00:09:29,940
+تمانية مضروبة في عشرة أُص واحد السبعة
+
+125
+00:09:31,760 --> 00:09:38,540
+عشرة اقصى اتنين وبتبقى اعلى كمان plus one طيب لو
+
+126
+00:09:38,540 --> 00:09:49,000
+كان الرقم فيه عندي انا فاصلة عشرية مافيش
+
+127
+00:09:49,000 --> 00:09:52,560
+عندك مشكلة نفس النظام بتطبق بس الإشارة اللي هتصير
+
+128
+00:09:52,560 --> 00:10:02,610
+ناقص واحد الصفر ضرب عشرة السالب واحدعشرة أساليب
+
+129
+00:10:02,610 --> 00:10:09,530
+اتنين عشرة أساليب تلاتة و هكذا يعني صرت بقدر أحدد
+
+130
+00:10:09,530 --> 00:10:13,490
+ال value أو قيمة كل digit في ال complex number في
+
+131
+00:10:13,490 --> 00:10:17,650
+الأرقام الكبيرة بناء على نينعلى الـ Base يعني صار
+
+132
+00:10:17,650 --> 00:10:21,350
+الـ Base ياله فيه 2 أساسيات في النظام العد الأولى
+
+133
+00:10:21,350 --> 00:10:24,310
+أنه حددلي من هم ال digits اللي أنا بدي أتعامل
+
+134
+00:10:24,310 --> 00:10:30,270
+معاهم الشغل التاني حددلي منزلة كل digit في الفرقان
+
+135
+00:10:30,270 --> 00:10:35,350
+اللي موجود عندها وهذا الكلام يُقبّق على أي نظام عد
+
+136
+00:10:35,350 --> 00:10:40,190
+حتى للغير متداول لو أنت فكرت في لحظة من اللحظات
+
+137
+00:10:40,190 --> 00:10:45,730
+بتقول والله أنا بدي أشتغل نظام عد 13مش مشكلة تاخد
+
+138
+00:10:45,730 --> 00:10:50,430
+القوانين التانية هدول و بطبقها عليك الشيء إن مشكلة
+
+139
+00:10:50,430 --> 00:10:54,250
+كبيرة صغيرة بعد نظام العد العشري هلجت بقولك إيش
+
+140
+00:10:54,250 --> 00:10:57,990
+مشكلتها عشان نحلها مع بعض اللي هي ال A و ال B و
+
+141
+00:10:57,990 --> 00:11:01,550
+أنا بقولك ليش هلجت ال A و ال B الأمر بناء على هيك
+
+142
+00:11:01,550 --> 00:11:06,510
+يا شباب أنا بقدر أتكلم على نظام العد ال binary
+
+143
+00:11:06,510 --> 00:11:08,770
+تمام؟
+
+144
+00:11:09,770 --> 00:11:12,450
+بتكلم على طبعا هذه القاعدة الأساسية اللى موجودة
+
+145
+00:11:12,450 --> 00:11:21,650
+علينا احنا اللى اتكلمنا عليها الآن ككل بأي رقم ال
+
+146
+00:11:21,650 --> 00:11:26,970
+base الصفر بتروح على اليسار ال plus واحد على الأس
+
+147
+00:11:26,970 --> 00:11:32,900
+وعلى اليمين-1 تمام؟ ليش الـ minus one؟ لأن الكسر
+
+148
+00:11:32,900 --> 00:11:38,040
+بده يصير .. الآن أي عدد .. أي عدد مثلا 2 أُس ناقص
+
+149
+00:11:38,040 --> 00:11:42,960
+1، إيش تفسروا هذه الشباب؟
+
+150
+00:11:42,960 --> 00:11:49,080
+2 من 10 تمام، الآن الأُس إيش يعني الأُس السالب؟ 1
+
+151
+00:11:49,080 --> 00:11:52,540
+على الرقم اللي موجود عندي هنا
+
+152
+00:11:56,560 --> 00:12:00,460
+القص السالب يعني ال value هذه ال major تبعتها في
+
+153
+00:12:00,460 --> 00:12:06,080
+المقام طب و البصد كده مقداره؟ واحد ايش مكان الرقم؟
+
+154
+00:12:06,080 --> 00:12:21,300
+لما انا باجي بقول عشرة قص سالب اتنين تمام؟
+
+155
+00:12:22,460 --> 00:12:25,400
+شوف هذه المعلومات أنا متأكد كلكوا بتعرفوها بس إيش
+
+156
+00:12:25,400 --> 00:12:30,280
+أحيانا واحد بينساه لأنه بيستخدمهاش بس لأ لأ انت
+
+157
+00:12:30,280 --> 00:12:36,900
+تبدأ تركز في الأمور اللي موجودة عندها تمام تعالى
+
+158
+00:12:36,900 --> 00:12:43,020
+نشوف أرقام بسيط من الأرقام اللي إحنا بنعرفها وليكن
+
+159
+00:12:43,020 --> 00:12:47,340
+على سبيل المثال واحد
+
+160
+00:12:47,340 --> 00:12:51,100
+اتنين سبعة
+
+161
+00:12:52,530 --> 00:12:57,650
+خمسة بالعشري بالنظام العشري كيف بدي اكتب الرقم هذا
+
+162
+00:12:57,650 --> 00:13:01,810
+اتنين
+
+163
+00:13:01,810 --> 00:13:06,530
+هذي يساوي الرقم هذي يساوي اتنين ضرب عشرة اص صفر
+
+164
+00:13:06,530 --> 00:13:13,350
+زائد واحد ضرب عشرة اص واحد معانا نحيا ديك الآن
+
+165
+00:13:13,350 --> 00:13:14,410
+زائد
+
+166
+00:13:16,550 --> 00:13:26,170
+سبعة ضرب عشرة أسالب واحد زائد خمسة ضرب عشرة أسالب
+
+167
+00:13:26,170 --> 00:13:33,710
+اتنين الان هذه قيمتها point سبعة بصبت سبعة من عشرة
+
+168
+00:13:33,710 --> 00:13:37,270
+مافيش
+
+169
+00:13:37,270 --> 00:13:39,430
+هنا مشكلة في الأرقام معناته انا في عندى هنا عشرة
+
+170
+00:13:39,430 --> 00:13:48,350
+زائد اتنين في واحد2 زائد سبعة ضرب عشرة او سالب
+
+171
+00:13:48,350 --> 00:13:53,930
+واحد يعني سبعة على عشرة مظبوط سبعة على عشرة كدهاش
+
+172
+00:13:53,930 --> 00:14:00,890
+point 0 point 7 مظبوط صفر point سبعة زائد خمسة على
+
+173
+00:14:00,890 --> 00:14:06,790
+مية طب ما هدول ال values هدى point سبعة و هدى
+
+174
+00:14:06,790 --> 00:14:14,480
+point zero سبعة خمسة عفوا اجمعهمعشرة و اتنين ماعش
+
+175
+00:14:14,480 --> 00:14:17,920
+و سبعة من عشرة اتناش و سبعة من عشرة زيادة خمسة من
+
+176
+00:14:17,920 --> 00:14:22,900
+مية ماعش خمسة و سبعين من مية واضحة الحسبة تمام يا
+
+177
+00:14:22,900 --> 00:14:28,360
+شباب؟ طيب الآن هذا الكلام اللي بنقوله احنا بنسقطه
+
+178
+00:14:28,360 --> 00:14:32,540
+على اي نظام عد في الدنيا هي على سبيل المثال ال
+
+179
+00:14:32,540 --> 00:14:38,780
+binary ال base تبعته اتنين ال digit
+
+180
+00:14:42,630 --> 00:14:47,270
+لأن الكمبيوتر هو عبارة عن دوائر إلكترونية و
+
+181
+00:14:47,270 --> 00:14:51,010
+الدائرة الكهربية
+
+182
+00:14:51,840 --> 00:14:56,280
+اللي هى حالة من تان تان اما on او اف تمام او اف مش
+
+183
+00:14:56,280 --> 00:14:59,980
+غير هيك اما فيه تيار في الدائرة او الدائرة نفسه لا
+
+184
+00:14:59,980 --> 00:15:06,320
+تمام وبناء على هيك اف يعني zero on يعني واحد وبناء
+
+185
+00:15:06,320 --> 00:15:10,160
+على هيك كان النظام الثنائي ال binary نفس النظام
+
+186
+00:15:10,160 --> 00:15:13,980
+نفس الكلام القاعدة السابقة ال base اللى موجودة
+
+187
+00:15:13,980 --> 00:15:17,100
+عندنا لو على سبيل المثال احنا فكرا نشغل التفاري
+
+188
+00:15:20,580 --> 00:15:29,840
+هي رقم واحد واحد Zero واحد point واحد واحد binary
+
+189
+00:15:29,840 --> 00:15:36,200
+لو بالنظام العشري كيف بنقرأه بنقرأه ألف ومية وواحد
+
+190
+00:15:36,200 --> 00:15:41,680
+فاصلة وحدة عشر من مية أصبت ألف ومية وواحد فاصلة
+
+191
+00:15:41,680 --> 00:15:46,020
+وحدة عشر من المية لكن لما أنا بقول ان هذا العدد
+
+192
+00:15:46,020 --> 00:15:52,280
+نظام ثنائي هتفرق معايا القصةو هصير انا معنى بال
+
+193
+00:15:52,280 --> 00:15:57,160
+value تبعت الرقم عشان افهمها القيمة الحقيقية جداش
+
+194
+00:15:57,160 --> 00:16:00,960
+الان الرقم هذا جداش يا حباب جداش قيمته بال decimal
+
+195
+00:16:00,960 --> 00:16:05,460
+انا مابعرفهاش المين اللي هيوصلني للقيمة الحقيقية
+
+196
+00:16:05,460 --> 00:16:10,100
+تبعته بال decimal ال base و بنطبق عليه القانون تبع
+
+197
+00:16:10,100 --> 00:16:17,100
+ال base يعني حاجة جولهان واحد اتنين اص صفر اتنين
+
+198
+00:16:17,100 --> 00:16:23,130
+اص واحدتنين أُس اتنين تنين أُس ثلاثة وبعد الفاصلة
+
+199
+00:16:23,130 --> 00:16:31,350
+تنين أُس سالب واحد تنين أُس سالب اتنين يعني هذا
+
+200
+00:16:31,350 --> 00:16:39,890
+يساوي واحد في اتنين أُس ثلاثة كمانية مصبوط؟ زائد
+
+201
+00:16:39,890 --> 00:16:49,970
+واحد في اتنين أُس اتنين أربعة زائد صفرزائد واحد
+
+202
+00:16:49,970 --> 00:16:57,070
+صفر ضرب اتنين اص واحد صفر صفر ضرب اتنين صفر واحد
+
+203
+00:16:57,070 --> 00:17:01,410
+ضرب اتنين اص صفر واحد ضرب واحد واحد لا ماتخربطوش
+
+204
+00:17:01,410 --> 00:17:05,670
+اعيد تاني كمان مرة احنا قولنا بناء على ال days ال
+
+205
+00:17:05,670 --> 00:17:08,390
+value تبعت كل digit في الرقم الكبير اللي زي هذا
+
+206
+00:17:08,390 --> 00:17:13,970
+تتحدث بناء على منزلتهابيدك الآن الفاصلة العشرية
+
+207
+00:17:13,970 --> 00:17:17,650
+اللى على يسارها اول element اللى بيبدأ صفر ال base
+
+208
+00:17:17,650 --> 00:17:22,530
+والصفر و بتطلع وبالتالي هذه عبارة عن اتنين قص صفر
+
+209
+00:17:22,530 --> 00:17:26,790
+هذه اتنين قص واحد اتنين قص اتنين اتنين قص تلاتة
+
+210
+00:17:26,790 --> 00:17:31,050
+اللى بالسالب اتنين قص سالب واحد اتنين قص سالب
+
+211
+00:17:31,050 --> 00:17:35,610
+اتنين الان المطلوب منك تضرب كل رقم بالنجباله و
+
+212
+00:17:35,610 --> 00:17:40,510
+تجمعهم مع بعض صح؟وهذا يساوي بيبدأ من الكبير من هنا
+
+213
+00:17:40,510 --> 00:17:43,390
+واحد ضرب اتنين اقصى ثلاثة اتنين اقصى ثلاثة تمانية
+
+214
+00:17:43,390 --> 00:17:50,430
+شباب تمانية واحد ضرب تمانية تمانية زائد واحد ضرب
+
+215
+00:17:50,430 --> 00:17:54,150
+اتنين اقصى اتنين اربعة اللي هي اتنين اقصى اتنين
+
+216
+00:17:54,150 --> 00:17:57,930
+اربعة في واحد اربعة الآن صفر ضرب اتنين اقصى واحد
+
+217
+00:17:57,930 --> 00:18:03,410
+اتنين اقصى واحد اتنين صفر في اتنين صفر زائد اي
+
+218
+00:18:03,410 --> 00:18:09,300
+حاجة ترفعها للاص صفر قمتها واحدواحد في واحد واحد
+
+219
+00:18:09,300 --> 00:18:15,180
+زائد الآن شوف واحد ضرب اتنين قص سالب واحد ايش يعني
+
+220
+00:18:15,180 --> 00:18:19,060
+اتنين قص سالب واحد يعني واحد على اتنين واحد على
+
+221
+00:18:19,060 --> 00:18:27,300
+اتنين نص طبعا اللي بنكتب هيك احنا صح؟ زائد واحد
+
+222
+00:18:27,300 --> 00:18:30,600
+ضرب اتنين قص سالب اتنين يعني واحد ضرب واحد على
+
+223
+00:18:30,600 --> 00:18:32,940
+اتنين قص اتنين يعني واحد على اربعة
+
+224
+00:18:38,460 --> 00:18:41,860
+ربع خمسة و عشرين من مية ان اجمع الرقم اللى موجود
+
+225
+00:18:41,860 --> 00:18:49,660
+عندها هذا يساوي تمانية و اربعة ماشية و واحد تلتاشر
+
+226
+00:18:49,660 --> 00:18:55,080
+فاصلة عند نص و ربع خمسة و سبعين من مية
+
+227
+00:18:58,890 --> 00:19:01,910
+نفس النظام حتى لو بأي نظام في الدنيا اللي بدك
+
+228
+00:19:01,910 --> 00:19:05,730
+تشتغل هتطبق عليه نفس القاعدة هتطبق عليه نفس
+
+229
+00:19:05,730 --> 00:19:08,910
+القاعدة وبتصل لل value اللي موجودة ليش التحول لهذا
+
+230
+00:19:08,910 --> 00:19:12,510
+احنا محتاجينه يا شباب؟ ضروري انا احول او ضروري
+
+231
+00:19:12,510 --> 00:19:16,230
+اتحول عارف ليش؟ لأن لو كتبتلك الرقم هذا هيك انت مش
+
+232
+00:19:16,230 --> 00:19:19,050
+هتعرفش ال value ال real value اللي احنا زي ما قلنا
+
+233
+00:19:19,050 --> 00:19:22,910
+نشأنا او الله فطرنا عليها بنفهمها مصبوط؟ لما
+
+234
+00:19:22,910 --> 00:19:25,050
+تكلمنا عن العد اقول الأطفال الصغار بيقدروا يميزوا
+
+235
+00:19:25,050 --> 00:19:27,770
+بالكمية كبيرة وقليلة وبالان هذا انا مابيعرفوش
+
+236
+00:19:27,770 --> 00:19:31,880
+النظامأنا بعرف النظام العشري اللي أنا repeat عليه
+
+237
+00:19:31,880 --> 00:19:37,000
+خلنا نقول وانفقرت عليه من البداية وبالتالي لازم كل
+
+238
+00:19:37,000 --> 00:19:41,180
+إشي أحاول أرجع لمين لل decimal عشان أنا أقدر أفهم
+
+239
+00:19:41,180 --> 00:19:50,520
+ال value تبعته تمام طيب الآن إيش
+
+240
+00:19:50,520 --> 00:19:54,980
+في نظام تاني مشهورة في أنظمة العد في عند نظام العد
+
+241
+00:19:54,980 --> 00:20:01,170
+الثماني ال octalنظام العدل الثماني base تمانية من
+
+242
+00:20:01,170 --> 00:20:07,010
+اسمه octal ثماني base تمانية الأعداد من صفر لسبع
+
+243
+00:20:07,010 --> 00:20:14,790
+الأرقام عارفة المستخدمة من صفر لسبع تمام لو
+
+244
+00:20:14,790 --> 00:20:20,070
+أنا أجيت جولت خمسة
+
+245
+00:20:20,070 --> 00:20:25,790
+اتنين point zero واحد عشان
+
+246
+00:20:25,790 --> 00:20:27,030
+ما نصعب هاش كتير يعني
+
+247
+00:20:30,310 --> 00:20:38,070
+.2 هذا الرقم بالعشري 52 و 2 من 10 بالثماني بال
+
+248
+00:20:38,070 --> 00:20:47,330
+binary بال binary بال binary كده ال value تبعته هل
+
+249
+00:20:47,330 --> 00:20:51,890
+هذا الرقم ممكن يكون binary مستحيل يكون صفر تمام
+
+250
+00:20:51,890 --> 00:20:55,970
+اذا كان مفترض اني قلتلك هذا عشري و بنحوله ل binary
+
+251
+00:20:55,970 --> 00:20:59,630
+اشي تانيبس انا بقولك هل الرقم هذا بال binary؟ لأ
+
+252
+00:20:59,630 --> 00:21:03,810
+هذا مش binary اقتل ثماني اه اقتل لإن كل ال digits
+
+253
+00:21:03,810 --> 00:21:08,070
+الموجودة من صفر لسبع او محصورة بين الصفر والسبع و
+
+254
+00:21:08,070 --> 00:21:11,530
+هذا يساوي
+
+255
+00:21:11,530 --> 00:21:16,450
+طيب
+
+256
+00:21:16,450 --> 00:21:22,290
+هم تمانية الصفر و هم تمانية الواحد و هم تمانية
+
+257
+00:21:22,290 --> 00:21:29,300
+السالب واحد يساوي خمسةدرب تمانية اقص واحد زائد
+
+258
+00:21:29,300 --> 00:21:39,860
+اتنين درب تمانية اقص صفر زائد اتنين درب واحد على
+
+259
+00:21:39,860 --> 00:21:41,540
+تمانية تمانية اقص سالب واحد
+
+260
+00:21:45,990 --> 00:21:48,750
+مصبور التوزيع هذه اللي بالمناسبة انا بكتب التوزيع
+
+261
+00:21:48,750 --> 00:21:52,490
+هذه و بأكد عليها الآن عشان هي أساس الحسبة اللي
+
+262
+00:21:52,490 --> 00:21:58,870
+بدنا نفهمها صح لأن خمسة في تمانية اربعين زائد
+
+263
+00:21:58,870 --> 00:22:04,510
+تمانية اتنين في واحد اتنين زائد قولنا او السالب
+
+264
+00:22:04,510 --> 00:22:09,190
+واحد هذه تعني اتنين على تمانية اتنين على تمانية
+
+265
+00:22:09,190 --> 00:22:12,450
+كده الشباب؟ ربع اتنين
+
+266
+00:22:16,790 --> 00:22:25,190
+درب ربع درب تمانية من عشرة واحد عال تمانية عفوا
+
+267
+00:22:25,190 --> 00:22:32,230
+الان تصير المسألة عندها اتنين واربعين point اتنين
+
+268
+00:22:32,230 --> 00:22:35,450
+عال تمانية تمثل الربع اللي هي خمسة وعشرين من مية
+
+269
+00:22:42,840 --> 00:22:47,800
+عادة يا شباب مابنسبكاش مع الوقع ان هيك بيجيب يقولك
+
+270
+00:22:47,800 --> 00:22:52,800
+هي octal number خمسة اتنين فاصلة اتنين ايش قيمته
+
+271
+00:22:52,800 --> 00:22:56,480
+بال decimal او بيجي يقولك هي hexadecimal number
+
+272
+00:22:57,450 --> 00:23:02,070
+وحوليها لل decimal لأن إذا أنا سكتت ومحددت ال cash
+
+273
+00:23:02,070 --> 00:23:06,590
+ال base هذا ممكن يكون بأي نظام، مصبوط؟ يعني هذا لو
+
+274
+00:23:06,590 --> 00:23:09,110
+أنا سألتك هذا الرقم، إيش الأنظمة اللي ممكن تطبق
+
+275
+00:23:09,110 --> 00:23:16,210
+عليه؟ طيب شو رأيك في السداسي؟ بنفع يكون سداسي؟
+
+276
+00:23:16,210 --> 00:23:22,870
+سبعي، ثماني، تساعي، عشري، أحد عشر، اتناش، ستاش
+
+277
+00:23:22,870 --> 00:23:28,680
+فانت بجربهم كلهم حرقفلازم احددلك ان هذا الرقم ..
+
+278
+00:23:28,680 --> 00:23:32,280
+لازم اقولك ان هذا مكتوب بصيغة النظام العدل كذا
+
+279
+00:23:32,280 --> 00:23:46,140
+عشان تستخدم ال base تبعته وتحدد القيمة ال
+
+280
+00:23:46,140 --> 00:23:50,700
+hexadecimal اجابني شوية انا ذكرتلك ان مع الأرقام
+
+281
+00:23:50,700 --> 00:23:54,860
+اللي في النظام العدل اكبر من عشرة تظهر عندنا مشكلة
+
+282
+00:23:55,710 --> 00:24:01,090
+المشكلة كانت تالية بعد العشرة او بعد التسعة يعني
+
+283
+00:24:01,090 --> 00:24:04,990
+القلم انا بقول نظام العدل 16 ال base جديد الشباب
+
+284
+00:24:04,990 --> 00:24:11,510
+ال base 16 يعني
+
+285
+00:24:11,510 --> 00:24:15,930
+ايش الأرقام المستخدمة او ال digits من صفر لخمستاشر
+
+286
+00:24:15,930 --> 00:24:20,870
+يعني صفر واحد اتنين لحد تسعة عشرة احداشر اتناشر
+
+287
+00:24:20,870 --> 00:24:24,330
+تلتاشر اربعتاشر خمستاشر طيب تعالى شوفي الرقم هذا
+
+288
+00:24:24,330 --> 00:24:31,690
+بالله عليكواحد واحد اربعة
+
+289
+00:24:31,690 --> 00:24:40,090
+point ليه كله واحد واحد وقلتلك هذا الرقم مكتوب
+
+290
+00:24:40,090 --> 00:24:46,290
+بالستناش اه قلتلك ان الرقم هذا مكتوب بنظام العدل
+
+291
+00:24:46,290 --> 00:24:51,730
+الستناش ايش المشكلة وجهتك الآن الاول مشكلة وجهتك
+
+292
+00:24:52,490 --> 00:24:59,550
+انه فعليا هدى هدى اربعة ولا اربعتاش لان صار فيه
+
+293
+00:24:59,550 --> 00:25:05,470
+two digits ومستحيل مستحيل اقدر انا اشتغل في هيك
+
+294
+00:25:05,470 --> 00:25:09,990
+وضع لان اذا انا قلت اربعة على كيفيOkay معناته انا
+
+295
+00:25:09,990 --> 00:25:14,050
+مواتت خارج .. يعني رفعت الواحد لل next level يعني
+
+296
+00:25:14,050 --> 00:25:17,550
+بدل ما كانت قيمته واحد .. عفوا عشرة .. عشرة بدو
+
+297
+00:25:17,550 --> 00:25:20,950
+يصير عقل من 16 كم شوية مصبوط ولا لأ وبالتالي انا
+
+298
+00:25:20,950 --> 00:25:24,990
+بدي أنتبه لل base فبناء انا على هيك الأرقام اللي
+
+299
+00:25:24,990 --> 00:25:28,290
+بعد الأكبر أو تساوي العشرة في أي نظام بيتم
+
+300
+00:25:28,290 --> 00:25:33,890
+استبدالها برموز تانية بحيث ان الرمز ياخد مكان one
+
+301
+00:25:33,890 --> 00:25:39,910
+digit ياخد مكان one digitوبالتالي إذا أنا قلتلك
+
+302
+00:25:39,910 --> 00:25:47,750
+هذا الرقم بنظام العدل 16 مباشرة هذا الرقم مكون من
+
+303
+00:25:47,750 --> 00:25:57,610
+خمس خنات أربع واحد واحد بعد الفاصلة في عندي واحد
+
+304
+00:25:57,610 --> 00:26:04,450
+واحد الرقم اللي بجينا نتكلم
+
+305
+00:26:04,450 --> 00:26:10,400
+عليه احنا بعدالفاصلة الـ 14 هذا لو انا بدى اكتبه
+
+306
+00:26:10,400 --> 00:26:19,560
+قيمته هتكون 1 E point اذا انا بتكلم هنا 11 معناته
+
+307
+00:26:19,560 --> 00:26:24,100
+بتكلم على B بنظام ال 16 وحنشوف مع بعض الرقمين دول
+
+308
+00:26:24,100 --> 00:26:29,460
+قيمهم تخلف ولا لأ تعالى نشوف على السريع ايش قيمة
+
+309
+00:26:29,460 --> 00:26:32,060
+هذا بال decimal و ايش قيمة اللى منه تحت بال
+
+310
+00:26:32,060 --> 00:26:36,230
+decimalأحنا فهمنا المشكلة هو ان الشباب الآن إذا
+
+311
+00:26:36,230 --> 00:26:39,610
+كان نظام العد بدي يزيد عن عشرة ال base بتصير تزيد
+
+312
+00:26:39,610 --> 00:26:46,330
+عن عشرة معناته انت هتضيف لل digits أرقام منخنتين و
+
+313
+00:26:46,330 --> 00:26:51,590
+لما تكتب الرقم منخنتين هتصير في عندك إشكالية خطأ
+
+314
+00:26:51,590 --> 00:26:54,770
+في القيمة تغير في المنزلة برنامج مين بدي أحسب عشان
+
+315
+00:26:54,770 --> 00:27:00,070
+هيك بتم استبدال الأرقام اللي منخنتينبـ one digit
+
+316
+00:27:00,070 --> 00:27:03,710
+character حرف تمام اللي انت بدك إياه وتستخدمه
+
+317
+00:27:03,710 --> 00:27:08,330
+تعالى وشوفها في النظام اللي موجود عندنا هذا عبارة
+
+318
+00:27:08,330 --> 00:27:16,590
+عن أربعة ضرب ستناش أص صفر زائد واحد ضرب ستاش أص
+
+319
+00:27:16,590 --> 00:27:24,720
+واحد زائد واحد ضرب ستاش أص اتنين زائدواحد ضرب ..
+
+320
+00:27:24,720 --> 00:27:30,720
+ضرب سطنعش أسالب واحد زائد واحد ضرب سطنعش أسالب نين
+
+321
+00:27:30,720 --> 00:27:37,020
+فى حد معاك calculator؟ فى أنا حاسب على الجوال طيب
+
+322
+00:27:37,020 --> 00:27:40,300
+الآن الرقم هذا مش ضروري احنا كمان تكون فى عندى
+
+323
+00:27:40,300 --> 00:27:43,540
+calculator عشان احسبه 100% لكن لإن بقدر اقدر القيم
+
+324
+00:27:43,540 --> 00:27:45,860
+اللى موجودة عندى انا دعانى أشوف اللى رقم اللى قُلع
+
+325
+00:27:45,860 --> 00:27:50,260
+عندى التانى أساوي اي
+
+326
+00:27:50,260 --> 00:28:03,820
+ضرب16 أس صفر زائد واحد 16 أس واحد زائد ب ضرب 16 أس
+
+327
+00:28:03,820 --> 00:28:09,160
+سالب واحد شو رايكم؟ هاي في عندي أنهان 16 أس سالب
+
+328
+00:28:09,160 --> 00:28:14,600
+اتنين اعفوا 16 أس اتنين و أعلى أس تحت هان 16 أس
+
+329
+00:28:14,600 --> 00:28:19,040
+واحد بقولك مين أكبر؟ اللي فوق أكبر حتما ليش جد
+
+330
+00:28:19,040 --> 00:28:24,460
+بعض؟ ليش جد بعض؟ حرام عليك يا راجلهذا هتضرب أربعة
+
+331
+00:28:24,460 --> 00:28:33,440
+عشر في واحد زائد واحد في ستة عشر زائد .. كم قلنا؟
+
+332
+00:28:33,440 --> 00:28:40,660
+أحداشر على ستة عشر صح؟ أربعة عشر وستة عشر تلاتين
+
+333
+00:28:40,660 --> 00:28:46,180
+وعشرة أو أحداشر على ستة عشر كم تقريبا؟ سبعة من
+
+334
+00:28:46,180 --> 00:28:50,080
+عشرة تقريبا سبعة من عشرة يعني بنتكلم هذا تلاتين
+
+335
+00:28:50,080 --> 00:28:52,480
+point سبعة تقريبا
+
+336
+00:28:56,370 --> 00:29:02,750
+أيش هي؟ هذي؟ هذي؟
+
+337
+00:29:02,750 --> 00:29:07,010
+اللي فوق غلط خضر يظهر اللي فوق لا لا صح اللي فوق
+
+338
+00:29:07,010 --> 00:29:11,530
+يا أخو مالك انتوا احنا بنقول هدول الرقمين هدول
+
+339
+00:29:11,530 --> 00:29:16,610
+الرقمين مختلفين تماما عن بعض في نظام العد الستاشة
+
+340
+00:29:16,610 --> 00:29:21,810
+جينا أقولك التالي هذي مش اربعتاش هذي اربعة واحد
+
+341
+00:29:21,810 --> 00:29:27,700
+واحد اذا انا بدي اكتب اربعتاش بدي استخدمالـ E وإذا
+
+342
+00:29:27,700 --> 00:29:31,640
+أنا بدي أستخدم 11 بدي أستخدم الـ B لإن هو دي point
+
+343
+00:29:31,640 --> 00:29:36,420
+واحد 16 أُس ثالث واحد وده 16 أُس ثالث اتنين فانا
+
+344
+00:29:36,420 --> 00:29:40,900
+لما جيت حللت المسألة هي اللي تحتها تقريبا تلاتين
+
+345
+00:29:40,900 --> 00:29:47,160
+تعالى نشوف اللي فوق أربعة في واحد زائد واحد في
+
+346
+00:29:47,160 --> 00:29:51,940
+ستناشف زائد واحد ستناشف في ستناشف كده درجة يا شباب
+
+347
+00:29:51,940 --> 00:29:52,620
+256
+
+348
+00:29:56,330 --> 00:30:04,010
+زائد واحد على ستة عشر زائد واحد على متين ستة
+
+349
+00:30:04,010 --> 00:30:08,090
+وخمسين اربعة
+
+350
+00:30:08,090 --> 00:30:14,570
+وستة عشر عشرين ومتين ستة وخمسين متين ستة وسبعين
+
+351
+00:30:14,570 --> 00:30:19,990
+point واحد على ستة عشر واحد على متين زائد متين
+
+352
+00:30:22,480 --> 00:30:28,240
+تقريبا واحد من عشرة شوف
+
+353
+00:30:28,240 --> 00:30:33,320
+الفرق بين الرقمينأساساً قلتلك أنا بدون ما أحسب ..
+
+354
+00:30:33,320 --> 00:30:37,060
+بدون ما أحسب الأعلى أُص هو اللي .. اللي لعب دور
+
+355
+00:30:37,060 --> 00:30:41,300
+كبير عندي هان أعلى رقم اللي ضرب في .. في بعض 16
+
+356
+00:30:41,300 --> 00:30:46,880
+أُص واحد جدشق 16 في واحد أقولك لو ضربت 16 في 15
+
+357
+00:30:46,880 --> 00:30:52,360
+انا بتفترض انه هان F مش واحد 16 في 15 هتبقى أقل من
+
+358
+00:30:52,360 --> 00:30:56,480
+16 في 16 وبالتالي كان في .. بإمكاني أنا أحسن من
+
+359
+00:30:56,480 --> 00:31:01,280
+البدايةالمثل عشان هيك الشباب احيانا احيانا مش لازم
+
+360
+00:31:01,280 --> 00:31:05,920
+انا احصل على نتيجة نهائية عشان اقدر من فيهم اكبر و
+
+361
+00:31:05,920 --> 00:31:09,820
+افرق بين الأرقام فممكن احصل على قيمة تقريبية من
+
+362
+00:31:09,820 --> 00:31:12,540
+أعلى أوسط نعم لما يجيني انا هذا ال phone بتعشر و
+
+363
+00:31:12,540 --> 00:31:16,000
+انا نحسب الخلق كتير هتحل الخلق كتير؟ لأ لأ لأ في
+
+364
+00:31:16,000 --> 00:31:22,380
+شباب شباب بهمش هنرجع مرة تانية و احاول تركزوا
+
+365
+00:31:22,380 --> 00:31:27,440
+معايا كويساللي انا بقى أقوله كالتالي في نظام العد
+
+366
+00:31:27,440 --> 00:31:32,620
+الثنائي الفوق العاشر وليكن على سبيل المثال 16 تظهر
+
+367
+00:31:32,620 --> 00:31:35,880
+عندنا مشكلة الأرقام اللي من two digits مباشرة هذه
+
+368
+00:31:35,880 --> 00:31:39,520
+هيتم استبدالها زي العشر أحد عشر اتناش تلتاشر
+
+369
+00:31:39,520 --> 00:31:42,900
+اربتاشر خمستاشر في نظام العد 16 هيتم استبدال
+
+370
+00:31:42,900 --> 00:31:51,160
+العشرة بالوالـ B 11، C 12، D 13، E 14 والـ F بتمثل
+
+371
+00:31:51,160 --> 00:31:56,100
+الـ 15 وعليه لما انا بدي اكتب رقم بالـ hexadecimal
+
+372
+00:31:56,100 --> 00:32:03,900
+بنظام العدل 16 لما باكتب 114 تمام؟ اياك تفكر ان
+
+373
+00:32:03,900 --> 00:32:09,600
+هذه بتمثل الـ A لأ هذه لا تمثل الـ A بأي حال من
+
+374
+00:32:09,600 --> 00:32:14,860
+الأحوالتمام؟ هذه لا تمثل الـ E بأي حال من الأحوال
+
+375
+00:32:14,860 --> 00:32:18,280
+أو بين جوزين خلّنا نكتبه بصيغة تانية هذا الرقم
+
+376
+00:32:18,280 --> 00:32:29,000
+بنظام العدل 16 لا يساوي 1E نظام العدل 16 ليش؟ لأن
+
+377
+00:32:29,000 --> 00:32:36,510
+هذا فيه تلت منازل أعلى قص فيه 16 قص 216 أُس صفر 16
+
+378
+00:32:36,510 --> 00:32:40,830
+أُس واحد 16 أُس اتنين هذا من منزلتين أعلى أُس في
+
+379
+00:32:40,830 --> 00:32:46,630
+16 أُس واحد و 16 أُس اتنين أكبر من 16 أُس واحد
+
+380
+00:32:46,630 --> 00:32:50,130
+وبالتالي الرقم مستحيل يكونوا زي بعض أو متساويين
+
+381
+00:32:50,130 --> 00:32:53,590
+تمام هذا الكلام اللي أنا بقوله قاعد نرجع كمان مرة
+
+382
+00:32:53,590 --> 00:32:58,230
+بنقول انتبه للأرقام اللي بتكون عندك لو كان الرقم
+
+383
+00:32:58,230 --> 00:33:02,130
+شباب اللي
+
+384
+00:33:02,130 --> 00:33:08,260
+أنا مسحتهابنقول كالتالي هي الرقم هذا 114 تمام
+
+385
+00:33:08,260 --> 00:33:13,400
+بقولك ان الرقم هذا مكتوب نظام العدل 16 بال
+
+386
+00:33:13,400 --> 00:33:20,310
+hexadecimalلما تيجي تحسبه إياك تفكر تقول هذه عبارة
+
+387
+00:33:20,310 --> 00:33:26,470
+عن 14 ضرب 16 أُس 0 لأ يا صاحبي هذه عبارة عن 4 ضرب
+
+388
+00:33:26,470 --> 00:33:33,570
+16 أُس 0 زائد 1 ضرب 16 أُس 1 زائد 1 أُس 16 أُس 2
+
+389
+00:33:33,570 --> 00:33:36,850
+الرقم اللي بنمثل فيه الأربعة عشر احنا مختلف شكله
+
+390
+00:33:36,850 --> 00:33:41,470
+واحد ايه؟
+
+391
+00:33:41,470 --> 00:33:43,230
+two digits بسووش بعض أكيد
+
+392
+00:34:03,850 --> 00:34:09,450
+مباشرة هذا يساوي E قيمتها اربعة عشر
+
+393
+00:34:12,150 --> 00:34:19,250
+اربعتاش ضرب ستاش اص صفر زائد اربعة ضرب ستاش اص
+
+394
+00:34:19,250 --> 00:34:26,930
+واحد زائد واحد ضرب ستاش اص اتنين كمان واضحة الصورة
+
+395
+00:34:26,930 --> 00:34:31,850
+بس
+
+396
+00:34:31,850 --> 00:34:36,530
+كبار مرة استخدام الحرف لان مابقدرش استخدم one
+
+397
+00:34:36,530 --> 00:34:41,150
+digit ال two charactersيعني مانفعش انا اجي اكتب ال
+
+398
+00:34:41,150 --> 00:34:44,210
+hexadecimal رقم من الخنتين .. رقم من الخنتين
+
+399
+00:34:44,210 --> 00:34:44,990
+بالhexadecimal
+
+400
+00:34:49,480 --> 00:34:53,800
+هذا كام خانة؟ هذا ثلاثة مش تنتين، عشان هيك تم
+
+401
+00:34:53,800 --> 00:34:58,360
+استبدال العشرة اللي بدي إياها أنا ب character، hex
+
+402
+00:34:58,360 --> 00:35:02,500
+are two digits من خانتين، بس عند الحسبة لما بروح
+
+403
+00:35:02,500 --> 00:35:07,960
+بحسب بستبدل ال A بإيش، قيمتها الأصلية من نظام العد
+
+404
+00:35:07,960 --> 00:35:10,680
+اللي موجودة عندها، بتمنى تكون الصورة واضحة ان شاء
+
+405
+00:35:10,680 --> 00:35:17,690
+الله، تفضلأه ضروري .. ضروري .. طيب لو انا اجيت
+
+406
+00:35:17,690 --> 00:35:24,730
+قولت نظام عدي 12معناته انا بتكلم من صفر ل 11
+
+407
+00:35:24,730 --> 00:35:28,650
+مصبوط؟ طيب عندي عشر و إحدى عشر هما المشكلة ال A و
+
+408
+00:35:28,650 --> 00:35:32,290
+B مباشرة إذا بدكاش يستخدموا ال A و ال B بتروح
+
+409
+00:35:32,290 --> 00:35:35,310
+بتعرفلي في النظام تبعك بتقول والله أنا بدي استخدم
+
+410
+00:35:35,310 --> 00:35:40,370
+X عشان يتمثل العشرة و بدي استخدم ال Y عشان يتمثل
+
+411
+00:35:40,370 --> 00:35:43,870
+ال 11 بتصير الأرقام اللي تظهر تبعتك بنظام العد
+
+412
+00:35:43,870 --> 00:35:49,460
+باطمعش تبعك فيها إيش؟ X و Yتمام فانت الرموز هذه مش
+
+413
+00:35:49,460 --> 00:35:54,860
+مقدسة يا شباب جدر ما احنا ببنى فإنش ممكن نستخدم او
+
+414
+00:35:54,860 --> 00:35:58,940
+نمثل one number two digits من خلال الرقام الموجودة
+
+415
+00:35:58,940 --> 00:36:05,540
+عندنا هان واصلة الشباب و قاعد تاني طيب الحمد لله
+
+416
+00:36:05,540 --> 00:36:09,060
+الآن
+
+417
+00:36:09,060 --> 00:36:13,140
+الرابط المشترك ما بين الأرقام اللي موجودة عندنا
+
+418
+00:36:13,140 --> 00:36:17,200
+هانلإيش أنا بحتاج الـ hexadecimal؟ عشان أمثّل
+
+419
+00:36:17,200 --> 00:36:21,440
+أرقام صغيرة .. أعفوا .. أرقام كبيرة ب code أو
+
+420
+00:36:21,440 --> 00:36:25,060
+digit بسيط، مصبوط؟ يعني احنا شوفنا قبل شوية الرقم
+
+421
+00:36:25,060 --> 00:36:31,200
+114 طالع معايا فوق ال 270، مصبوط ولا لأ؟ مصبوط؟
+
+422
+00:36:31,200 --> 00:36:34,300
+بال hexadecimal، طالع معايا فوق ال 270 وهذه مثل ال
+
+423
+00:36:34,300 --> 00:36:40,460
+hexadecimal، لو أنا أجيت و أتكتبت كتالي هاي ايه؟
+
+424
+00:36:40,460 --> 00:36:43,080
+ايه؟
+
+425
+00:36:44,160 --> 00:36:56,480
+عشرة ومية وستين عشرة ومية وستين عشرة
+
+426
+00:36:56,480 --> 00:37:02,580
+ومية وستين عشرة ومية وستين عشرة ومية وستين
+
+427
+00:37:02,580 --> 00:37:05,960
+عشرة
+
+428
+00:37:05,960 --> 00:37:13,480
+ومية وستينزائد عشرة فى واحد عشرة مية و ستين زائد
+
+429
+00:37:13,480 --> 00:37:19,600
+عشرة مية و سبعين شكلكم مش مفطرين انتوا لسه اه
+
+430
+00:37:19,600 --> 00:37:24,320
+والله ده تانى مرة اذا كانت صح صح مع الفطور يفطر يا
+
+431
+00:37:24,320 --> 00:37:28,080
+صاحبي وإذا بتنام ماتفطرش بالمرة خليكي صايم لآخر
+
+432
+00:37:28,080 --> 00:37:32,600
+النهار طيب الآن يا شباب في عندنا حسبة بسيطة و
+
+433
+00:37:32,600 --> 00:37:36,440
+تحويلةسهلة يعني احنا زي اللي احنا قلنا او هنجع في
+
+434
+00:37:36,440 --> 00:37:39,900
+مشكلة لو انا اجير و قلتلك هدر ممكن اخلنا نكتب كذا
+
+435
+00:37:39,900 --> 00:37:45,500
+مرة ايه ايه؟ هدر هنقولنا بأي لغة نكتب؟ بأي نظام؟
+
+436
+00:37:45,500 --> 00:37:51,320
+الـ hexadecimal 16 و
+
+437
+00:37:51,320 --> 00:37:56,860
+بديك تكتبليها بال binary بديها
+
+438
+00:37:56,860 --> 00:38:05,630
+binary او بديها تحولليها لأقتل ايش أساوي؟بدي احوله
+
+439
+00:38:05,630 --> 00:38:10,710
+لعشري وبعد هيك احول من عشري ل binary او احوله
+
+440
+00:38:10,710 --> 00:38:14,150
+لعشري وبعد هيك من عشري احوله ل أكتر بالمناسبة
+
+441
+00:38:14,150 --> 00:38:19,010
+التحويل من عشري للرقم ده يتجسم التحويل من ال
+
+442
+00:38:19,010 --> 00:38:25,130
+decimal للنظام اللي بدك هي عملية قسمةمش هشرحها
+
+443
+00:38:25,130 --> 00:38:29,950
+الآن انا هعلمك طريقة تحول من أكتر لـ hexadecimal و
+
+444
+00:38:29,950 --> 00:38:33,650
+العكس باعتمادك على ال binary numbers باعتمادك على
+
+445
+00:38:33,650 --> 00:38:43,330
+ال binary numbers طيب الرقم هذا 1111 في ال binary
+
+446
+00:38:43,330 --> 00:38:52,610
+قدش قيمته تمانية حرام عليك يا راجل خمسة
+
+447
+00:38:52,610 --> 00:38:52,970
+عشر
+
+448
+00:38:55,770 --> 00:39:00,590
+تنين اقص صفر تنين اقص واحد تنين اقص اتنين تنين اقص
+
+449
+00:39:00,590 --> 00:39:05,150
+تلاتة تمانية زيادة اربعة زيادة اتنين زيادة واحد
+
+450
+00:39:05,150 --> 00:39:10,990
+تمانية واربعة اتناش و اتنين اربعتاش و واحد خمستاش
+
+451
+00:39:10,990 --> 00:39:16,010
+يعني هذا يسوي خمستاش بال decimal خمستاش بال
+
+452
+00:39:16,010 --> 00:39:24,250
+decimal يسوي ال F بال hexadecimal صح؟ طيب هذا
+
+453
+00:39:24,250 --> 00:39:32,970
+الرقمايش يساوي؟ واحد واحد هذا الرقم binary يساوي
+
+454
+00:39:32,970 --> 00:39:39,570
+واحد بال decimal يساوي واحد بال hexadecimal مافيش
+
+455
+00:39:39,570 --> 00:39:47,790
+عليه تغيير طيب اجي لرقم تاني كده
+
+456
+00:39:47,790 --> 00:39:53,050
+قيمته هذا بال binary هذا binary بتأكد انه تلاتة
+
+457
+00:40:00,620 --> 00:40:05,260
+خمسة يا راجل انا كنت لسه مش وصلالكوا القاعدة
+
+458
+00:40:05,260 --> 00:40:10,460
+الأساسية في التحويل حد ضرب اتنين قص صفر اتنين قص
+
+459
+00:40:10,460 --> 00:40:18,080
+واحد اتنين قص اتنين اضرب واحد في واحد زائد صفر في
+
+460
+00:40:18,080 --> 00:40:22,760
+اتنين زائد واحد في اربعة اربعة زائد صفر زائد واحد
+
+461
+00:40:22,760 --> 00:40:31,430
+خمسةبال decimal بال hexadecimal برضه خمسة هلقيت
+
+462
+00:40:31,430 --> 00:40:34,030
+بقولك إيش الفايدة طب لو حطيتلك صفر هنا على الشمال
+
+463
+00:40:34,030 --> 00:40:39,390
+بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد،
+
+464
+00:40:39,390 --> 00:40:41,550
+بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد،
+
+465
+00:40:41,550 --> 00:40:44,810
+بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد،
+
+466
+00:40:44,810 --> 00:40:45,610
+بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد،
+
+467
+00:40:45,610 --> 00:40:46,970
+بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد،
+
+468
+00:40:46,970 --> 00:40:47,890
+بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد، بتزيد،
+
+469
+00:40:47,890 --> 00:40:49,830
+بتزيد، بتزيد، بتزيد،
+
+470
+00:40:51,560 --> 00:40:55,880
+ايش؟ بعد الفاصلة انا قلت صح؟ يعني هاي .. طلعنا آية
+
+471
+00:40:55,880 --> 00:41:01,900
+هاي خمستعش فاصلة خمسة صفر .. صفر .. صفر .. صفر ..
+
+472
+00:41:01,900 --> 00:41:03,760
+صفر .. صفر .. صفر .. صفر .. صفر .. صفر .. صفر ..
+
+473
+00:41:03,760 --> 00:41:03,780
+صفر .. صفر .. صفر .. صفر .. صفر .. صفر .. صفر ..
+
+474
+00:41:03,780 --> 00:41:07,440
+صفر .. صفر .. صفر .. صفر .. صفر .. صفر .. صفر ..
+
+475
+00:41:07,440 --> 00:41:09,560
+صفر .. صفر .. صفر .. صفر .. صفر .. صفر .. صفر ..
+
+476
+00:41:09,560 --> 00:41:10,160
+صفر .. صفر .. صفر .. صفر .. صفر .. صفر .. صفر
+
+477
+00:41:13,550 --> 00:41:17,330
+الان يا صاحبي تعالى نتبع الأرقام بشكل سريع الأرقام
+
+478
+00:41:17,330 --> 00:41:20,490
+ال binary اللى موجودة عندها هى صفر بس بدك تكتب كل
+
+479
+00:41:20,490 --> 00:41:24,910
+رقم binary على أربع خنادر ماشي الحال هى صفر واحد
+
+480
+00:41:24,910 --> 00:41:31,530
+اتنين تلاتة أربعة خمسة لحد خمس عشر بالتالي هذا
+
+481
+00:41:31,530 --> 00:41:39,910
+الرقم مش هيك هى نهاية الأكتر سبعة
+
+482
+00:41:42,260 --> 00:41:45,460
+تلات خانات هاي سبعة هاي ستة هاي خمسة صفر عشان
+
+483
+00:41:45,460 --> 00:41:48,200
+معناه ده ماعرفش معناه بعد هيك انتقلت لمين انا
+
+484
+00:41:48,200 --> 00:41:53,740
+للنظام اللي موجود عندها لو انا قلبت منك حاجة بقولك
+
+485
+00:41:53,740 --> 00:41:58,520
+وان الفايدة منها لو انا قلبت منك تحول رقم من
+
+486
+00:41:58,520 --> 00:42:08,260
+hexadecimal ل octal ودي قلتلك الرقم واحد صفر بي
+
+487
+00:42:12,550 --> 00:42:22,750
+7.f و حول اللي هي ل octal هدا
+
+488
+00:42:22,750 --> 00:42:27,390
+هكسب ايه فك تساوي تحوله ل 10 تحوله ل 10 تبقى
+
+489
+00:42:27,390 --> 00:42:31,540
+التحويله ل 10 هياخد وجه طويل منكو بدون calculator
+
+490
+00:42:31,540 --> 00:42:36,500
+غالبا هتغلط فيه لكن تعالي تركز معايا بشكل كويس كيف
+
+491
+00:42:36,500 --> 00:42:40,660
+ممكن احاوله بكل بساطة الان المطموع منك تاخد كل
+
+492
+00:42:40,660 --> 00:42:45,980
+element من هذا و تمثله باربع خنادق بال binary على
+
+493
+00:42:45,980 --> 00:42:50,580
+نفس الترتيب هي الفاصلة ال F قدش قيمته؟ خمس عشر
+
+494
+00:42:50,580 --> 00:42:55,560
+واحد واحد واحد واحد هي الخمس عشر بال binaryواحد
+
+495
+00:42:55,560 --> 00:42:58,260
+تقولّي انا احفظ الأرقام لو اتعودت تستخدمها هتلاقي
+
+496
+00:42:58,260 --> 00:43:05,090
+حاجة حفظها لحالك و اتذكر دائما واحد اتنيناربعة
+
+497
+00:43:05,090 --> 00:43:09,670
+كمانية ايش هدول هدول اتنين اقص صفر اتنين اقص واحد
+
+498
+00:43:09,670 --> 00:43:12,730
+اتنين اقص اتنين اتنين اقص تلاتة اللي هم ال base
+
+499
+00:43:12,730 --> 00:43:16,130
+تبعت ال binary بالاص اللي هم مجموعة يساوي خمس عشر
+
+500
+00:43:16,130 --> 00:43:20,590
+الان انا بدي السابعة السابعة هي عبارة عن اربعة و
+
+501
+00:43:20,590 --> 00:43:25,270
+اتنين و واحد انا بدي صفر في تمانية واحد في اربعة
+
+502
+00:43:25,270 --> 00:43:30,510
+واحد في اتنين واحد في واحد هاي السابعة مصبوط اذا
+
+503
+00:43:30,510 --> 00:43:40,570
+انا الان بدي الاتناشبدي 12 ايش الـ 12؟ 8 و 4 1 في
+
+504
+00:43:40,570 --> 00:43:47,390
+8 زي 1 في 4 زي 0 في 2 زي 0 في 1 اذا انت حاولت تحفظ
+
+505
+00:43:47,390 --> 00:43:52,310
+هذه القاعدة 1 2 4 8 بتقدر تجيب اي رقم في ال binary
+
+506
+00:43:52,310 --> 00:43:58,270
+من 0 ل 15 في كل سهولة طيب حد بده يبحث ان يجيب رقم
+
+507
+00:43:58,270 --> 00:44:03,510
+تاني 1313 عبارة عن ايش يا شباب؟ هي عبارة عن 12
+
+508
+00:44:03,510 --> 00:44:09,990
+زائد 1، تمانية أربعة واحد، يعني واحد واحد صفر هي
+
+509
+00:44:09,990 --> 00:44:14,850
+تلات عشر حاول اشتغل يعني شوف اعتبر ان هذا اليوم
+
+510
+00:44:14,850 --> 00:44:18,690
+exercise اليك في البيت، اتمرن من دماغك انك تجيب
+
+511
+00:44:18,690 --> 00:44:23,390
+الرقم بسرعةهذه المطلوبة منك صعب انك تحفظها كل
+
+512
+00:44:23,390 --> 00:44:27,250
+الرقم مضربه في اتنين لحد ما تصل ال تمانين صح سهل
+
+513
+00:44:27,250 --> 00:44:30,550
+الرقم تمام تعالى نشوف انا ايش اللي انا بدأ اساوي
+
+514
+00:44:30,550 --> 00:44:34,770
+سبعة السبعة عبارة واحد تلاتة اربعة واحد اتنين
+
+515
+00:44:34,770 --> 00:44:41,190
+اربعة مصبوط واحد اتنين اربعة وهي صفر مهم جدا ال
+
+516
+00:44:41,190 --> 00:44:46,490
+digit تبع ال hexadecimal اربعة خنات بي ال بي جديش
+
+517
+00:44:46,490 --> 00:44:53,420
+قيمتهالـ 11 هي عبارة عن تمانية و تلاتة واحد واحد
+
+518
+00:44:53,420 --> 00:44:58,160
+صفر واحد Passport هي التمانية عشان امثلك الأرقام
+
+519
+00:44:58,160 --> 00:45:05,360
+لحالهم هي كل الأرقام لحالهم الصفر واحد اتنين تلاتة
+
+520
+00:45:05,360 --> 00:45:10,910
+اربعة بانفعش تحط صفر لحالهلأنه خلاص أنا قاعد بحول
+
+521
+00:45:10,910 --> 00:45:15,210
+من hexadecimal ل binary بحول من hexadecimal ل
+
+522
+00:45:15,210 --> 00:45:19,410
+binary فالصفر بدك تنفل مثله .. زيه .. زيه رقم تاني
+
+523
+00:45:19,410 --> 00:45:26,410
+بأربع خنات الخامة بعدها تمانية صفر صفر صفر واحد
+
+524
+00:45:26,410 --> 00:45:33,290
+غرب هيك صارت كم؟ صح هيك صارت تمانية هيك؟
+
+525
+00:45:33,290 --> 00:45:37,690
+يا راجل يا ظالم هذه واحد هذه تمانية
+
+526
+00:45:42,320 --> 00:45:49,240
+بدي واحد ثلاثة
+
+527
+00:45:49,240 --> 00:45:56,300
+يعني هي الصفر وهي الواحد 100% الآن الحل هذا جديش
+
+528
+00:45:56,300 --> 00:46:02,020
+أخد بوجت منها كل تأكيد أسهل من أنك تجد تتجسم الرقم
+
+529
+00:46:02,020 --> 00:46:06,800
+اللي موجود الخطوة رقم 2 انك تروح تتجسم الان الرقم
+
+530
+00:46:06,800 --> 00:46:08,380
+هذا من عند الفاصلة العشرية
+
+531
+00:46:15,430 --> 00:46:19,050
+تلاتة ديجيت تلاتة ديجيت ايش يعني تلاتة ديجيت تلاتة
+
+532
+00:46:19,050 --> 00:46:22,690
+ديجيت ديجيت عشان تحوله لأشبط بقولنا تحوله لأقطال
+
+533
+00:46:22,690 --> 00:46:31,150
+تعالى نشوف هاي تلاتة وهي كمان تلاتة وهي كمان تلاتة
+
+534
+00:46:31,150 --> 00:46:34,190
+وهي كمان تلاتة وهي كمان تلاتة وهي كمان تلاتة وفي
+
+535
+00:46:34,190 --> 00:46:37,810
+عندنا صفر في الآخر بحط صفرين لأنه مش هتأثر عندك
+
+536
+00:46:37,810 --> 00:46:43,370
+كتير صح؟ ونفس الكلام بروح باتجاه الفاصلة هاي تلاتة
+
+537
+00:46:44,780 --> 00:46:49,600
+وهنا بحط صفرين هي تلاتة الان احسب كل تلت خنات
+
+538
+00:46:49,600 --> 00:46:57,140
+وحطهم في مكانهم هي فاصلة العشرية زي ما هي واحد
+
+539
+00:46:57,140 --> 00:47:05,760
+اتنين اربعة سبعة اربعة
+
+540
+00:47:05,760 --> 00:47:13,740
+واحد اتنين اربعة اربعة الرابع دي سبعة ستة
+
+541
+00:47:15,290 --> 00:47:22,830
+تنين صفر واحد صفر وهي الرقم هذا اللي طلع معاك يا
+
+542
+00:47:22,830 --> 00:47:30,730
+صاحبي بال اكتل المضام العدل الثماني صعبة التحويلة
+
+543
+00:47:30,730 --> 00:47:36,510
+بنعيدها تاني ولا مثال تاني أعلمك
+
+544
+00:47:36,510 --> 00:47:41,750
+إياها حاضر أخليه
+
+545
+00:47:42,940 --> 00:47:51,280
+عيده مثال تاني احسن مثال تاني الان خلينا نقول في
+
+546
+00:47:51,280 --> 00:47:58,280
+اين دي رقم بي
+
+547
+00:47:58,280 --> 00:48:05,600
+سبعة ايه point سبعة
+
+548
+00:48:05,600 --> 00:48:12,950
+هذا الرقم بين واضح ان عد مكتوب16 hexadecimal مطلوب
+
+549
+00:48:12,950 --> 00:48:17,970
+منك تحوله ل octal الان الكلام اللي انا بقوله كلام
+
+550
+00:48:17,970 --> 00:48:25,270
+بسيط جدا تذكر القاعدة واحد اتنين اربعة تمانية تمام
+
+551
+00:48:25,270 --> 00:48:28,710
+اللي هي نظام ال binary الان عشان احول او التحويل
+
+552
+00:48:28,710 --> 00:48:37,340
+ما بين hexadecimal و octalبدي أستخدم ال binary
+
+553
+00:48:37,340 --> 00:48:42,160
+كوسيط استخدامي للعشري ممكن ياخد فترة طويلة مني في
+
+554
+00:48:42,160 --> 00:48:45,080
+الأول بدي أضرب و بعدين بدي أحصل أجسم على تمانية
+
+555
+00:48:45,080 --> 00:48:50,020
+طبعا؟ دكتور يجب أن تدخل .. نعم الحين الرقم ليش
+
+556
+00:48:50,020 --> 00:48:54,840
+حددناه أنه النظام السادس عشرة؟ يا راجل ما نخيل بيه
+
+557
+00:48:54,840 --> 00:49:00,300
+اه ممكن بس انا لما أجي أقولك هاي النظام بدك تعتمد
+
+558
+00:49:00,300 --> 00:49:04,690
+بالنظام اللي موجودالان ليش انا بركز على الأنظمة
+
+559
+00:49:04,690 --> 00:49:07,390
+هاي؟ لأن هم الأنظمة المستخدمة ال decimal مستخدمة
+
+560
+00:49:07,390 --> 00:49:10,570
+في حياتنا اللي احنا بنفهمه ال binary و ال octal و
+
+561
+00:49:10,570 --> 00:49:13,010
+ال hexadecimal مستخدمات أو مطابقات مع ال computer
+
+562
+00:49:13,010 --> 00:49:17,330
+تمام؟ أنظمة العدد التاني ممكن توجد لها انت
+
+563
+00:49:17,330 --> 00:49:22,520
+استخدامات بمعرفتكلكن حاليا ما بنركز على الأنظمة
+
+564
+00:49:22,520 --> 00:49:25,900
+اللي موجودة عندها لإيش أنا قاعد بقولك هيك هذا لأن
+
+565
+00:49:25,900 --> 00:49:28,820
+التحويل ما بين الأرقام هذه سهلة وهي اللي خلّى
+
+566
+00:49:28,820 --> 00:49:34,100
+الأرقام أو الأنظمة هذه مشهورة على مستوى عاليلأن
+
+567
+00:49:34,100 --> 00:49:38,180
+الأساس في الكمبيوتر بيناري بيناري أصبت طيب و ال
+
+568
+00:49:38,180 --> 00:49:41,400
+hexadecimal و ال octal أنظمة مستحدثة و موجود لها
+
+569
+00:49:41,400 --> 00:49:45,100
+استخدام فصارت الوصيب بين ال octal و ال hexadecimal
+
+570
+00:49:45,100 --> 00:49:49,040
+ال binary عشان يكون أسهل في التحويل لكن هل بقدر
+
+571
+00:49:49,040 --> 00:49:52,360
+أطبق الكلام هذا على لو كان النظام عندي نظام عادل
+
+572
+00:49:52,360 --> 00:49:59,050
+معاش لأ لألان هتقول في ارقام عندى مش هتكون موجودة
+
+573
+00:49:59,050 --> 00:50:03,270
+anyway تعالى نكمل هان فى الرقم اللى موجود الآن زى
+
+574
+00:50:03,270 --> 00:50:07,230
+ما قلنا تحط الفاصلة وبتمثل كل digit بال
+
+575
+00:50:07,230 --> 00:50:13,750
+hexadecimal باربعة digits من ال binary تمام
+
+576
+00:50:15,780 --> 00:50:20,360
+الان السبعة هي عبارة عن واحد زائد اتنين زائد تلاتة
+
+577
+00:50:20,360 --> 00:50:24,840
+زائد اربع عفوا، مصبوط؟ هي سبعة يعني واحد في واحد
+
+578
+00:50:24,840 --> 00:50:29,080
+وزائد واحد في اتنين زائد واحد في اربعة زائد صفر في
+
+579
+00:50:29,080 --> 00:50:36,400
+تمانية وبالتالي تكتب على صورة صفر واحد واحد واحد
+
+580
+00:50:36,400 --> 00:50:40,160
+بالمناسبة لو جلبتلي تجيها تغير الرقم بتصير تتكلم
+
+581
+00:50:40,160 --> 00:50:42,920
+على اربع عشر ايش اعيد؟
+
+582
+00:50:46,440 --> 00:50:52,540
+طبعا انا الآن لو جيل قلتلك حرف ال C بالدياب ال
+
+583
+00:50:52,540 --> 00:50:57,280
+binary تلتاشر التلتاشر هي عبارة عن ايش عبارة عن
+
+584
+00:50:57,280 --> 00:51:04,240
+تمانية و اربعة و واحد هاي تمانية هاي اربعة و صفر
+
+585
+00:51:04,240 --> 00:51:09,780
+واحد اللي هي واحد في واحد و واحد في اتنين اقص واحد
+
+586
+00:51:09,780 --> 00:51:13,960
+اتنين اقص اتنين اتنين اقص تلاتة اللي هي واحد اتنين
+
+587
+00:51:13,960 --> 00:51:14,940
+اربعة تمانية
+
+588
+00:51:18,740 --> 00:51:23,500
+الان هان بدي اشتغل نفس الكلمة من ايه؟ عشرة العشرة
+
+589
+00:51:23,500 --> 00:51:31,020
+عبارة عن ايش؟ تمانية و اتنين صفر واحد صفر واحد هي
+
+590
+00:51:31,020 --> 00:51:35,060
+تمانية و اتنين يعني الرقم اللي بديك تستخدمه من فوق
+
+591
+00:51:35,060 --> 00:51:38,540
+من هان حط باله واحد اللي بديك تسيبه و تحط مكانه
+
+592
+00:51:38,540 --> 00:51:47,950
+صفر سبعة واحد واحد واحد صفرواحد واحد واحد صفر
+
+593
+00:51:47,950 --> 00:51:53,170
+تمانية بي
+
+594
+00:51:53,170 --> 00:52:00,750
+بي كداش دهش واحد
+
+595
+00:52:00,750 --> 00:52:06,290
+واحد واحد صفر واحد الأول خطوة التالية جسم ال
+
+596
+00:52:06,290 --> 00:52:13,080
+digits هذه تلت خنات تلتات هاي تلاتة وهي تلاتةهذه
+
+597
+00:52:13,080 --> 00:52:16,100
+تلاتة وهذه تلاتة جيب تجسيمة معايا هان تمام مش
+
+598
+00:52:16,100 --> 00:52:18,740
+بحاجة أحط أصفر ده دايما تلاتة تلاتة ده ده ده ده ده
+
+599
+00:52:18,740 --> 00:52:19,800
+ده ده ده ده ده ده ده ده ده ده ده ده ده ده ده ده ده
+
+600
+00:52:19,800 --> 00:52:21,560
+ده ده ده ده ده ده ده ده ده ده ده ده ده ده ده ده ده
+
+601
+00:52:21,560 --> 00:52:23,620
+ده ده ده ده ده ده ده ده ده ده ده ده ده ده ده ده ده
+
+602
+00:52:23,620 --> 00:52:23,640
+ده ده ده ده ده ده ده ده ده ده ده ده ده ده ده ده ده
+
+603
+00:52:23,640 --> 00:52:32,780
+ده ده ده ده ده ده ده ده ده ده ده
+
+604
+00:52:32,780 --> 00:52:41,160
+ده
+
+605
+00:52:41,160 --> 00:52:44,920
+دهأربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+606
+00:52:44,920 --> 00:52:47,860
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+607
+00:52:47,860 --> 00:52:48,140
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+608
+00:52:48,140 --> 00:52:51,860
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+609
+00:52:51,860 --> 00:52:53,680
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+610
+00:52:53,680 --> 00:52:58,880
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+611
+00:52:58,880 --> 00:52:59,940
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+612
+00:52:59,940 --> 00:53:10,600
+أربعة أربعة أرب
+
+613
+00:53:11,960 --> 00:53:15,200
+واحد اللي اتكلم عشان انا اقدر افهمه نعم لما نحول
+
+614
+00:53:15,200 --> 00:53:18,160
+من hexadecimal ل octal ايوة مش احنا مالش بنشتغل
+
+615
+00:53:18,160 --> 00:53:21,320
+على نظام او واحد اتنين اربعة تمانية طبعا الحين
+
+616
+00:53:21,320 --> 00:53:25,160
+نضبط تاني لما نتحول .. نتحول ال binary ل octal
+
+617
+00:53:25,160 --> 00:53:30,300
+الاقصى رقم او اقصى اكبر digit بال octal جديش ال
+
+618
+00:53:30,300 --> 00:53:35,470
+octal طبعا سبعة .. سبعة .. سبعة كام digitتلاتة
+
+619
+00:53:35,470 --> 00:53:41,990
+واحد اتنين واربعة بالتالة تلاتة بدأت بال باير مش
+
+620
+00:53:41,990 --> 00:53:51,150
+اربعة عشان هيك انا روح اجسبه على تلاتة طيب نعم وين
+
+621
+00:53:51,150 --> 00:53:57,990
+التمانية هذا روح احوله لعشري اه
+
+622
+00:53:57,990 --> 00:54:03,270
+يا صاحبي لان هذه هتكون ستناشط سالب واحد16 اص صفر
+
+623
+00:54:03,270 --> 00:54:09,150
+16 اص واحد 16 اص اتنين و هنا تمانية اقص سالب اتنين
+
+624
+00:54:09,150 --> 00:54:13,250
+تمانية اقص سالب واحد تمانية اقص صفر تمانية اقص
+
+625
+00:54:13,250 --> 00:54:17,310
+واحد تمانية اقص اتنين تمانية اقص تلاتة اضرب و اجبع
+
+626
+00:54:17,310 --> 00:54:22,550
+هيطلع معاك نفس الرقم مش مصدق استخدم ال calculator
+
+627
+00:54:22,550 --> 00:54:26,330
+و حسبه بعد المحاضرة طيب الان انا بدي احول العكس
+
+628
+00:54:26,330 --> 00:54:30,550
+بدي احول من octal ل hexadecimal
+
+629
+00:54:37,680 --> 00:54:43,980
+تعالى نشوف الرقم هذا اللى كتبناه خمسة خمسة سبعة
+
+630
+00:54:43,980 --> 00:54:51,840
+اتنين point تلاتة اربعة هذا بال اكتل ثمانى بدي
+
+631
+00:54:51,840 --> 00:54:57,140
+احوله الآن لهكسا ديسمل بدي احوله الآن لهكسا ديسمل
+
+632
+00:54:57,140 --> 00:55:00,340
+في
+
+633
+00:55:00,340 --> 00:55:02,740
+ناس شغالة بتحسب بال calculator خدها بعض المحاضرة
+
+634
+00:55:02,740 --> 00:55:03,100
+طيب
+
+635
+00:55:07,570 --> 00:55:11,030
+أكبر digit عندي سبعة على تلت خانات بال binary
+
+636
+00:55:11,030 --> 00:55:17,490
+تمام؟ وبالتالي كل خانة بال binary بدك تمثلها بتلت
+
+637
+00:55:17,490 --> 00:55:21,050
+خانات .. عفوا كل خانة بال octal بدك تمثلها بتلاتة
+
+638
+00:55:21,050 --> 00:55:25,130
+بال binary على مبدأ هيه نفس العدد واحد اتنين اربعة
+
+639
+00:55:25,130 --> 00:55:28,890
+بس بديش تمانية انا الان واحد اتنين اربعة الاربعة
+
+640
+00:55:28,890 --> 00:55:39,910
+صفر صفر واحدتلاتة واحد واحد صفر هي
+
+641
+00:55:39,910 --> 00:55:43,810
+الفاصلة تلاتة واحد واحد صفر هي الفاصلة تلاتة واحد
+
+642
+00:55:43,810 --> 00:55:46,410
+واحد صفر هي الفاصلة تلاتة واحد واحد صفر هي الفاصلة
+
+643
+00:55:46,410 --> 00:55:47,390
+تلاتة واحد واحد صفر هي الفاصلة تلاتة واحد واحد صفر
+
+644
+00:55:47,390 --> 00:55:48,210
+هي الفاصلة تلاتة واحد واحد صفر هي الفاصلة تلاتة
+
+645
+00:55:48,210 --> 00:55:48,790
+واحد واحد صفر هي الفاصلة تلاتة واحد واحد صفر هي
+
+646
+00:55:48,790 --> 00:55:49,290
+الفاصلة تلاتة واحد واحد صفر هي الفاصلة تلاتة واحد
+
+647
+00:55:49,290 --> 00:55:51,670
+واحد صفر هي الفاصلة تلاتة واحد واحد صفر هي الفاصلة
+
+648
+00:55:51,670 --> 00:55:55,510
+تلاتة واحد واحد صفر هي الفاصلة تلاتة واحد واحد صفر
+
+649
+00:55:55,510 --> 00:56:05,670
+هي الفاصلة تلاتة واحد واحد صفر هي الفاصالان عشان
+
+650
+00:56:05,670 --> 00:56:09,930
+احوم ال hexadecimal بدي اخده اربعات عكس الشغل اللي
+
+651
+00:56:09,930 --> 00:56:19,370
+اشتغلناه سابقا هي اربعة هي اربعة وهي اربعة الان هي
+
+652
+00:56:19,370 --> 00:56:30,130
+اربعة و بضيف صفرين الان بدي ابدأ احسب صفر سبعة
+
+653
+00:56:30,130 --> 00:56:31,650
+فاصلة
+
+654
+00:56:33,240 --> 00:56:39,340
+عشرة، اللي هي ايه؟ اللي هي تمانية و اتنين عشرة،
+
+655
+00:56:39,340 --> 00:56:42,700
+ليش خمس اتنين يا أخو؟ هذا أربع خنات، هذا أربع
+
+656
+00:56:42,700 --> 00:56:47,300
+خنات، مظبوط؟ واحد، اتنين، أربع، تمانية تمانية و
+
+657
+00:56:47,300 --> 00:56:51,720
+اتنين، عشرة، فهي بإيه؟ اللي بعده؟ سبعة، سبعة،
+
+658
+00:56:51,720 --> 00:56:54,200
+سبعة، سبعة، سبعة، سبعة، سبعة، سبعة، سبعة، سبعة،
+
+659
+00:56:54,200 --> 00:56:54,700
+سبعة، سبعة، سبعة، سبعة، سبعة، سبعة، سبعة، سبعة،
+
+660
+00:56:54,700 --> 00:56:59,700
+سبعة، سبعة، سبعة، سبعة، سبعة، سبعة،
+
+661
+00:56:59,700 --> 00:57:01,920
+سبعة، سبعة، سبعة، سبعة، سبعة، سبعة، س
+
+662
+00:57:07,430 --> 00:57:11,030
+تمام، الآن لو أنا جيت أديتك رقم binary و قلتلك
+
+663
+00:57:11,030 --> 00:57:17,610
+اديني يا اقتل، شو تساوي؟ اديتك binary و قلتلك
+
+664
+00:57:17,610 --> 00:57:22,710
+اديني يا اقتل جسمه تلت خناتطبعا احوّلك الرقم
+
+665
+00:57:22,710 --> 00:57:25,530
+لمكانه ال data key هي binary قلتلك ال DNA
+
+666
+00:57:25,530 --> 00:57:28,770
+hexadecimal جسمه على أربع خانات وبتحسب على السريع
+
+667
+00:57:28,770 --> 00:57:31,830
+تطلع على الرقم اللي موجود معاك لإن العملية اللي
+
+668
+00:57:31,830 --> 00:57:35,830
+غير هي كده هتكون طويلة و مملة عارف ليش؟ هين عاملا
+
+669
+00:57:35,830 --> 00:57:41,810
+نضرب 2 أُس 16 أُس 0 16 أُس 1 16 أُس 2 16 أُس 3 لو
+
+670
+00:57:41,810 --> 00:57:46,580
+أضفت كمان digit أنا، مصبوط؟ولو العكس لما بيتحول من
+
+671
+00:57:46,580 --> 00:57:49,840
+decimal ل hexadecimal بيبقى تصير الجسم عالص اتناش
+
+672
+00:57:49,840 --> 00:57:53,740
+وتحتفظ بالباقي والجسم عالص اتناش بتهيألي بدون
+
+673
+00:57:53,740 --> 00:57:57,980
+calculator مش هتظبط معانا كتير ولا لا؟ لكن هيك انا
+
+674
+00:57:57,980 --> 00:58:01,060
+بقدر احول على السريع تعالى ناخد اخر مثال في موضوع
+
+675
+00:58:01,060 --> 00:58:09,280
+التحويل لو انا جيت وقلتلك نمسح
+
+676
+00:58:09,280 --> 00:58:15,000
+اللوح هيك بكون هو نفس المثال هناما بتهشي
+
+677
+00:58:15,000 --> 00:58:41,320
+111011110110110110110110110110110110110110110110110110110101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101101
+
+678
+00:58:42,910 --> 00:58:46,550
+لأقتل مباشرة مايكونش عندك مشكلة انه والله انا بدي
+
+679
+00:58:46,550 --> 00:58:49,830
+اروح اشتغل كده لأ لأ جسم لهذا الرقم على three
+
+680
+00:58:49,830 --> 00:59:01,450
+digits واحد اتنين تلاتة اربعة خمسة ستة وهي صفر
+
+681
+00:59:01,450 --> 00:59:09,110
+سبعة هي واحد اتنين تلاتة و بحط صفرين هنامية فى
+
+682
+00:59:09,110 --> 00:59:14,350
+المية الان كل بساطة يا محمد و اركز معايا الان واحد
+
+683
+00:59:14,350 --> 00:59:16,670
+اتنين اربعة لان تلت تلت تلت تلت تلت تلت تلت تلت
+
+684
+00:59:16,670 --> 00:59:19,750
+تلت تلت تلت تلت تلت تلت تلت تلت تلت تلت تلت تلت
+
+685
+00:59:19,750 --> 00:59:25,130
+تلت تلت
+
+686
+00:59:25,130 --> 00:59:28,450
+تلت
+
+687
+00:59:28,450 --> 00:59:33,530
+تلت تلت تلت تلت تلت تلت تلت تلت تلت تلت تلت تلت
+
+688
+00:59:33,530 --> 00:59:34,010
+تلت تلت تلت تلت تلت تلت تلت تلت تلت تلت تلت تلت
+
+689
+00:59:34,010 --> 00:59:41,530
+تلت تلت تلت تالرقم هذا هيو بالاقتل مش صعب الأمر و
+
+690
+00:59:41,530 --> 00:59:46,090
+لا لأ طبيعي يا ويلكوا إذا واحد فيكم بيغلط فيه في
+
+691
+00:59:46,090 --> 00:59:49,330
+الامتحان اللي بيغلط في سؤال زي هذا في الامتحان مش
+
+692
+00:59:49,330 --> 00:59:53,170
+بس هيخسر علامته هو هجر معاه ضعف العلامة كمان ده في
+
+693
+00:59:53,170 --> 01:00:01,770
+علامة السؤال بالminus هيسحبك هاي
+
+694
+01:00:01,770 --> 01:00:03,630
+اقتل هذا هيك اقتل
+
+695
+01:00:08,180 --> 01:00:12,700
+نفس الجواب بس طبعا انا قلت لأ السنة شوية هذا
+
+696
+01:00:12,700 --> 01:00:19,740
+binary يا صاحبي هذا binary ايوة حولته لا اقتل نفس
+
+697
+01:00:19,740 --> 01:00:24,480
+الرقم لو انا بدى احوله ولا اكتب رقم تاري خليه نفسه
+
+698
+01:00:24,480 --> 01:00:30,760
+خليه نفسه انا بدى احوله ل hexadecimal ايش
+
+699
+01:00:30,760 --> 01:00:34,840
+بدى اشتغل اربعة هاي واحدة نين
+
+700
+01:00:38,890 --> 01:00:44,710
+تلاتة اربعة تجيب معاك ألوان خمسة مش بحاجة نضيف
+
+701
+01:00:44,710 --> 01:00:53,330
+أصفر خلصنا وهنا اي واحد اي اتنين وهي فيها نضيف نار
+
+702
+01:00:53,330 --> 01:01:00,530
+وصفرين هان تعالى احسب جدشها واحد اتنين اربعة
+
+703
+01:01:00,530 --> 01:01:05,330
+تمانية اه ده اربعة ماتغيرش عليه حاجة وهذا سبعة
+
+704
+01:01:05,330 --> 01:01:06,550
+وهذا
+
+705
+01:01:09,600 --> 01:01:18,520
+خمسة، خمسة، خمسة، خمسة، خمسة، خمسة، خمسة، خمسة،
+
+706
+01:01:18,520 --> 01:01:23,000
+خمسة، خمسة، خمسة، خمسة، خمسة، خمسة، خمسة، خمسة،
+
+707
+01:01:23,000 --> 01:01:23,360
+خمسة، خمسة، خمسة، خمسة، خمسة، خمسة، خمسة، خمسة،
+
+708
+01:01:23,360 --> 01:01:23,740
+خمسة، خمسة، خمسة، خمسة، خمسة، خمسة، خمسة، خمسة،
+
+709
+01:01:23,740 --> 01:01:38,440
+خمسة، خمسة، خمسة، خمسة، خمسة
+
+710
+01:01:41,070 --> 01:01:44,050
+بسمي اللغة الابددية الإنجليزية جاعد نطلع اللي هو
+
+711
+01:01:44,050 --> 01:01:49,430
+هنا نطلع على اللوحة D تلات عشر وين وين هان هذا
+
+712
+01:01:49,430 --> 01:01:54,670
+تلات عشر D D
+
+713
+01:01:54,670 --> 01:01:59,030
+اصفين ان احنا ماصدقنك هاش يا ريس تمام يا شباب
+
+714
+01:01:59,030 --> 01:02:04,050
+الأمور؟ تمام تمام هيك الموضوع هذا خلاص يعني انا
+
+715
+01:02:04,050 --> 01:02:08,110
+جافله عليه مابقالليش كلام بالمناسبة اذا انت
+
+716
+01:02:08,110 --> 01:02:10,210
+ماحاولتش تشتغل في البيت على الموضوع هذا
+
+717
+01:02:14,680 --> 01:02:20,100
+هيقير طيب يا
+
+718
+01:02:20,100 --> 01:02:24,040
+رجل حط أي أرقام و أشتغل عليها بنفس الكيفية مش
+
+719
+01:02:24,040 --> 01:02:27,640
+هتفهم .. شوف أهم شغلة .. أهم شغلة في الموضوع لما
+
+720
+01:02:27,640 --> 01:02:33,220
+تجسم الآن إذا قلب منك أكتل؟ تلاتة قلب منك هكسا؟
+
+721
+01:02:33,220 --> 01:02:37,520
+أربعة والعكس صحيح لو أدات هكسا ديسمال و جالك اكتبه
+
+722
+01:02:37,520 --> 01:02:42,010
+باينري فتحطه على أربعة digitمصبوط؟ تصير تكتب 4
+
+723
+01:02:42,010 --> 01:02:45,450
+عديد يكتب الـ Binary و الـ Octal 3 طيب ننتقل يا
+
+724
+01:02:45,450 --> 01:02:49,630
+شباب لموضوع جديد أنواع الأرقام أو مجموعات الأرقام
+
+725
+01:02:49,630 --> 01:02:54,550
+الآن لما أنا بتكلم على أنواع الأعداد أو مجموعات
+
+726
+01:02:54,550 --> 01:02:57,950
+الأرقام اللي عندي أو مجموعات العد natural number
+
+727
+01:02:57,950 --> 01:03:02,410
+الأعداد الطبيعية الأعداد الصحيحة الأعداد الحقيقية
+
+728
+01:03:02,410 --> 01:03:06,610
+الأعداد النسبية الأعداد الغير نسبية الأعداد
+
+729
+01:03:06,610 --> 01:03:12,240
+الحقيقية الأعداد التخيّليةو ال complex number
+
+730
+01:03:12,240 --> 01:03:18,300
+العداد المُركّبة لأ مش معقدة مُركّبة كلمة معقدة
+
+731
+01:03:18,300 --> 01:03:21,300
+هترميليها على جانب اسمها مُركّبة ماحقولك ليش
+
+732
+01:03:21,300 --> 01:03:25,000
+مُركّبة و ال infinity currency يعني كلهم شغلات
+
+733
+01:03:25,000 --> 01:03:28,740
+بسيطة يمكن نخلص ال chapter فيهم natural number
+
+734
+01:03:28,740 --> 01:03:33,440
+اتكلمنا عليهم يقولوا هي عبارة عن من واحد إلى ما لا
+
+735
+01:03:33,440 --> 01:03:37,200
+نهاية و كانت تستخدم بالأساس للعدد و لما نتكلم عن
+
+736
+01:03:37,200 --> 01:03:41,900
+ال zero هنتكلم عن star او عن صفرمافيش فيها أرقام
+
+737
+01:03:41,900 --> 01:03:45,280
+سالبة تمام وغالبا مستخدم من أجل ال ordering
+
+738
+01:03:45,280 --> 01:03:49,640
+الترقيم صح عشان اتحدد ال quantity اللي موجودة عندى
+
+739
+01:03:49,640 --> 01:03:55,160
+اه انا نسيت ناسي ال prime العداد
+
+740
+01:03:55,160 --> 01:04:00,020
+الأولية ايش العدد الأولى هو عبارة عن عدد صحيح موجب
+
+741
+01:04:00,020 --> 01:04:07,480
+تمام لا يقبل قسم الا على نفسه طبعا كل أرقام تقبل
+
+742
+01:04:07,480 --> 01:04:09,040
+جسم على واحد تمام
+
+743
+01:04:11,850 --> 01:04:17,070
+في قاعدة أساسية بتقول كالتالي ان اي عدد مُركّب ايش
+
+744
+01:04:17,070 --> 01:04:20,070
+العدد المُركّب اللي هو غير أولي مثل ايش مثل الأربع
+
+745
+01:04:20,070 --> 01:04:26,210
+مثل التمنتاش مثل الستة وتلاتين هذه أعداد غير أولية
+
+746
+01:04:26,210 --> 01:04:30,610
+الواحد وعشرين عدد غير أولي فأي عدد مجسم لصنفين زي
+
+747
+01:04:30,610 --> 01:04:36,030
+ما هي فردي وزوجي في لهم تصنيف تاني عدد أولي وعدد
+
+748
+01:04:36,030 --> 01:04:40,770
+مُركّب غير أولي مُركّب بنسميه عدد مُركّب composite
+
+749
+01:04:40,770 --> 01:04:48,220
+numberالان القاعدة بتقول اي عدد مركب يمكن كتارته
+
+750
+01:04:48,220 --> 01:04:56,180
+على صورة ضرب او ضرب مجموعة من الـ brines يعني ممكن
+
+751
+01:04:56,180 --> 01:05:00,460
+تحلله انت لمجموعة من الأرقام الأولية المضروبة فين
+
+752
+01:05:00,460 --> 01:05:07,140
+في بعضها مثل الـ 18 شوراكوا في الـ 18 يا شباب 18
+
+753
+01:05:10,340 --> 01:05:14,820
+عدد مُركّب ولا أول إيه؟ مُركّب لأنه جد بالجسم على
+
+754
+01:05:14,820 --> 01:05:21,540
+2 وعلى 3 وعلى 6 وعلى 9، مصبوب؟ طيب القانون بيقول
+
+755
+01:05:21,540 --> 01:05:25,840
+إن هذا ممكن يحلل أو يُكتب على صورة ضرب مجموعة من
+
+756
+01:05:25,840 --> 01:05:30,360
+الـprimes مين المجموعة هذه؟ هذا أساسا هو عبارة عن
+
+757
+01:05:30,360 --> 01:05:36,580
+2×9 والتسعة هذه عبارة عن 3×3
+
+758
+01:05:38,740 --> 01:05:44,000
+معناته التمنتعش هذا قدرت امثله انا على انه عبارة
+
+759
+01:05:44,000 --> 01:05:47,340
+عن مجموعة او حاصل ضارب مجموعة من ال primes او
+
+760
+01:05:47,340 --> 01:05:52,680
+مجموعة من الاعداد الاولية لكن السؤال اللى بيطرح
+
+761
+01:05:52,680 --> 01:05:57,360
+نفسه دائما كيف انا اعرف العدد هذا prime ولا مش
+
+762
+01:05:57,360 --> 01:05:59,580
+prime عدد اولى ولا غير اولى
+
+763
+01:06:02,380 --> 01:06:06,100
+ايوة بيجبالش الجسم اللي غير على نفسه هو على الواحد
+
+764
+01:06:06,100 --> 01:06:10,160
+صحيح طب لو انا اتيت يا صاحب و قولتلك 123 عدد أولي
+
+765
+01:06:10,160 --> 01:06:15,700
+جسم على القالة الحاسبة و لو جالك المراقب في قاعة
+
+766
+01:06:15,700 --> 01:06:19,660
+الامتحان الدكتور يالد الشام يكتبلك على الظرف ممنوع
+
+767
+01:06:19,660 --> 01:06:26,160
+استخدام القالة الحاسبة هتاكل هوا صح عافية فلع
+
+768
+01:06:26,160 --> 01:06:31,220
+الجوال محضرهشأبسطها بتسجل في المادة .. الحل ..
+
+769
+01:06:31,220 --> 01:06:36,820
+ناخد أقرب جزء .. ناخد أقرب جزء .. ناخد أقرب جزء ..
+
+770
+01:06:36,820 --> 01:06:40,420
+ناخد أقرب جزء .. ناخد أقرب جزء .. ناخد أقرب جزء ..
+
+771
+01:06:40,420 --> 01:06:42,940
+ناخد أقرب جزء .. ناخد أقرب جزء .. ناخد أقرب جزء ..
+
+772
+01:06:42,940 --> 01:06:45,460
+ناخد أقرب جزء .. ناخد أقرب جزء .. ناخد أقرب جزء ..
+
+773
+01:06:45,460 --> 01:06:46,260
+ناخد أقرب جزء .. ناخد أقرب جزء .. ناخد أقرب جزء ..
+
+774
+01:06:46,260 --> 01:06:46,480
+ناخد أقرب جزء .. ناخد أقرب جزء .. ناخد أقرب جزء ..
+
+775
+01:06:46,480 --> 01:06:52,140
+ناخد أقرب جزء .. ناخد أقرب جزء .. ناخد أقرب جطبعا؟
+
+776
+01:06:52,140 --> 01:06:56,600
+الان عشان تعرف العدد هذا أولي ولا مش أولي مافيش
+
+777
+01:06:56,600 --> 01:07:01,580
+داعي اتدور في مية و عشرين رقم قبله تشوف هل ميه
+
+778
+01:07:01,580 --> 01:07:05,140
+بيجب الجسم عليهم ولا لأ .. ده مشكلة الان خطوة رقم
+
+779
+01:07:05,140 --> 01:07:10,080
+واحد خد الجذر تبع المية و تلاتة و عشرين والله يا
+
+780
+01:07:10,080 --> 01:07:12,600
+دكتور مابعرف والله اللي عاوزي منها صعبة معاك حاجة
+
+781
+01:07:12,600 --> 01:07:18,610
+خد أقرب جذر إلها11×11 هي 121 كثير دي بيت كاش 11×11
+
+782
+01:07:18,610 --> 01:07:23,670
+خد 12×12 144 برضه جاي دي القريب لها الآن لاحظ
+
+783
+01:07:23,670 --> 01:07:28,930
+فأقرب جذر هذه اما هتقول 11 او 12 مش هتفرج كتير
+
+784
+01:07:28,930 --> 01:07:35,310
+معانا والله كمان؟ خطوة رقم اتنين اروح دور او هتل
+
+785
+01:07:35,310 --> 01:07:38,890
+الاعداد الاولية اللي اقل من الرقم هذا من قيمة
+
+786
+01:07:38,890 --> 01:07:44,910
+الجذر مين هم؟تنين تلاتة خمسة سبعة احداشر خلصوا
+
+787
+01:07:44,910 --> 01:07:48,650
+اربع خلاص ارقام لان بقى اللي عند الحسبة بسيطة هل
+
+788
+01:07:48,650 --> 01:07:52,950
+العدد 123 تجبر الجسم على اي واحد من هدول ولا لأ
+
+789
+01:07:52,950 --> 01:07:57,890
+اذا جبر الجسم على اي واحد من هدول فهو مركب غير
+
+790
+01:07:57,890 --> 01:08:04,980
+اولي otherwise فالعدد هذا بيكون عدد اولي123 بيجيب
+
+791
+01:08:04,980 --> 01:08:11,100
+الجسم على 2؟ على 3؟ لأ على 5؟ لأ على 7؟ برضه لأ
+
+792
+01:08:11,100 --> 01:08:16,140
+على 11؟ لأ فال 123 عبارة عن عدد أولي طيب دكتور انت
+
+793
+01:08:16,140 --> 01:08:20,500
+قاعد تقول لأ لأ لأ كيف؟ كيف عرفت انه مابيجيبش
+
+794
+01:08:20,500 --> 01:08:23,740
+الجسم على 7 بدون ما تحسب؟ لأ انا كنت بعمل حسبة
+
+795
+01:08:23,740 --> 01:08:28,480
+بسيطة في دماغي لأن كل رقم فيه رخصية الان ماجيبنيش
+
+796
+01:08:28,480 --> 01:08:35,650
+الجسم على 2بيجب على ثلاثة؟ خلّيني واحدة واحدة
+
+797
+01:08:35,650 --> 01:08:38,790
+بجيبش الجسم على اتنين لأنه فردي بيجب الجسم على
+
+798
+01:08:38,790 --> 01:08:44,750
+ثلاثة ادمع ال digits اللي موجودات واحد و اتنين
+
+799
+01:08:44,750 --> 01:08:49,470
+ثلاثة و ثلاثة ستة بيجب الجسم على ثلاثة رقم هذا
+
+800
+01:08:49,470 --> 01:08:51,950
+فالعدد
+
+801
+01:09:00,740 --> 01:09:06,580
+Composite مركّب غير أولي غير أولي فبدّك أنت الحسب
+
+802
+01:09:06,580 --> 01:09:10,840
+الآن كيف أتعرف إن هو هالد يجبل ولا مابجبلش الجسم
+
+803
+01:09:10,840 --> 01:09:14,900
+على الأعداد الأولية البسيطة بالمناسبة لو أنا كمان
+
+804
+01:09:14,900 --> 01:09:17,820
+اطلعتلك في الأرقام فوق في التلاتمية ولمّا باخد
+
+805
+01:09:17,820 --> 01:09:22,540
+الجذر هتبقى الأمواش بسيطة وبالتالي الأعداد الأولية
+
+806
+01:09:22,540 --> 01:09:27,320
+هتكون عندك محصورة تعالى نشوف على السريعكيف ممكن
+
+807
+01:09:27,320 --> 01:09:35,500
+نشتغل كمان مثال يعني العدد مش أولى 127 127
+
+808
+01:09:35,500 --> 01:09:41,460
+نفس الكلام 127 أقرب جدر طب أنا بتعمل ترجعي الرقم
+
+809
+01:09:41,460 --> 01:09:46,640
+الجريد أقرب جدر قداش الشباب أنا بتحط 127 تحت الجدر
+
+810
+01:09:46,640 --> 01:09:50,280
+مزاية
+
+811
+01:09:50,280 --> 01:09:57,620
+ال 11 أقرب رقم موجود مصبوطتقريباً 11 بيقبل الجسم
+
+812
+01:09:57,620 --> 01:10:02,000
+على 3؟ لأ .. طيب الأعداد الأولية اللي بتجربها 2 ..
+
+813
+01:10:02,000 --> 01:10:10,800
+3 .. 5 .. 7 .. 11 بيقبل الجسم على 2؟ لأ خانة الأحد
+
+814
+01:10:10,800 --> 01:10:13,920
+.. عدد فردي بيقبل الجسم على 3 اجمع ال digits هدول
+
+815
+01:10:13,920 --> 01:10:19,820
+10 لا تقبل الجسم على 3 بيقبل الجسم على 5؟ لأ لازم
+
+816
+01:10:19,820 --> 01:10:24,650
+يكون خانة الأحد إما 0 أو 5بيقبل قسم على سبعة لا
+
+817
+01:10:24,650 --> 01:10:30,790
+يقبل قسم على سبعة ولا قسم يقبل قسم 11 فال 127 is a
+
+818
+01:10:30,790 --> 01:10:38,050
+prime عدد أولي انا
+
+819
+01:10:38,050 --> 01:10:42,710
+قلت من القعر قلت مجموع عندي التلاتة فقط طيب عشان
+
+820
+01:10:42,710 --> 01:10:50,050
+هيك في عندي انالازم تتذكر مع بعض خواص القسمة او
+
+821
+01:10:50,050 --> 01:10:55,410
+قابلية القسمة ايش بدك تسأل استاذ فضل اه احنا
+
+822
+01:10:55,410 --> 01:11:02,070
+اشقولنا باخد الرقم تحت الجذرأقرب جدًا له جداش 11
+
+823
+01:11:02,070 --> 01:11:05,250
+لان خد ال .. احنا قبل شوية كانت القاعدة بتقول اي
+
+824
+01:11:05,250 --> 01:11:09,510
+عدد مركب هو عبارة بنقدر نكتب على صورة حاصل ضرب
+
+825
+01:11:09,510 --> 01:11:12,570
+جمعة من ال brines ال brines هذي أقل منه المحق
+
+826
+01:11:12,570 --> 01:11:17,470
+المركبات العدد المركبات الأولية للعدد تمام فمين
+
+827
+01:11:17,470 --> 01:11:21,840
+اللي أقل من ال 11؟الاعداد الاولية هيهم اللي
+
+828
+01:11:21,840 --> 01:11:25,240
+موجودين بناء على القاعدة السابقة كمان مرة ليش انا
+
+829
+01:11:25,240 --> 01:11:27,620
+اخترت اسمه اللي بيسأل ليش انا اخترت الاعداد
+
+830
+01:11:27,620 --> 01:11:31,040
+الاولية الا اجال من ال 11 لان الكون قولنا قبل شوية
+
+831
+01:11:31,040 --> 01:11:36,180
+القاعدة اللي بتقول ان اي عدد مركب هو عبارة عن حاصل
+
+832
+01:11:36,180 --> 01:11:41,220
+ضرب مجموعة من ال prize بكل تأكيد مش هتكون مجموعة
+
+833
+01:11:41,220 --> 01:11:45,020
+ال prize هتكبر منهفشو رايكوا؟ عوامل الأعداد
+
+834
+01:11:45,020 --> 01:11:49,200
+الأولية يعني لازم اتحالوا لصورة من الأعداد الأولية
+
+835
+01:11:49,200 --> 01:11:54,620
+فهنا لما انا اخترت أقرب جذر إله كانت 11 الأعداد
+
+836
+01:11:54,620 --> 01:11:57,980
+الأولية الأقل من 11 هيها وبناء عليها انا حكمت إن
+
+837
+01:11:57,980 --> 01:12:08,440
+127 is a prime لو أنا أخد مثال رقم أسهل 31 أول
+
+838
+01:12:08,440 --> 01:12:18,130
+إيه؟ مباشرة أخد الرقم تحت الجذرأقرب عدد له 6، 6 ل
+
+839
+01:12:18,130 --> 01:12:24,510
+36، الرقم هذا أقرب ل 36 من 25، بصبت؟ طيب، من
+
+840
+01:12:24,510 --> 01:12:31,230
+الأعداد الأولية الأقل من 6؟ 2، 3 و 5، بيجباش الجسم
+
+841
+01:12:31,230 --> 01:12:35,900
+على 2 لأنه فردي؟واحد و تلاتة اربعة لا تقبل قسم على
+
+842
+01:12:35,900 --> 01:12:39,860
+تلاتة خمس الأحد واحد لا هي صفر ولا هي خمسة
+
+843
+01:12:39,860 --> 01:12:42,780
+وبالتالي لا يقبل قسم على خمسة في هذا العدد عدد
+
+844
+01:12:42,780 --> 01:12:48,680
+اولي اولي لو انا اتيت قلتلك اتنين و تلاتين اولي لو
+
+845
+01:12:48,680 --> 01:12:51,600
+انا اتيت قلتلك اتنين و تلاتين اتنين و تلاتين تحت
+
+846
+01:12:51,600 --> 01:12:58,820
+الجذر اقرب جذرها ستة واحد خمس على خمس تمام؟ ماشي
+
+847
+01:12:58,820 --> 01:13:01,600
+الحالة احنا خلنا نقول بنطبق عليها نفس القانون اقرب
+
+848
+01:13:01,600 --> 01:13:06,970
+جذر إلها ستةستة معناته اتنين تلاتة خمسة بيقبل
+
+849
+01:13:06,970 --> 01:13:09,770
+الجسم على اتنين بيقبل الجسم على اتنين فانسى
+
+850
+01:13:09,770 --> 01:13:14,870
+الموضوع ماتكملش فهذا عدد مركّب عدد مركّب عدد مركّب
+
+851
+01:13:14,870 --> 01:13:19,530
+تمام؟ طيب هنبدأ محاضرتنا من عند ال primes المحاضرة
+
+852
+01:13:19,530 --> 01:13:23,950
+الجاية ان شاء الله نبدأ من عند ال primes ونراجع مع
+
+853
+01:13:23,950 --> 01:13:27,490
+بعض خلاص القسمة للأعداد البسيطة اللي عندنا يعطيكوا
+
+854
+01:13:27,490 --> 01:13:27,990
+العافية شباب
+
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/AWxH6qHZ_xI_raw.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/AWxH6qHZ_xI_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..fa8d0f8b369b0fc7c50cadc353a7c3f19e74115c
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/AWxH6qHZ_xI_raw.srt
@@ -0,0 +1,2436 @@
+1
+00:00:21,750 --> 00:00:23,950
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:23,950 --> 00:00:29,110
+اليوم ان شاء الله شباب هنبدأ بال chapter التالت ال
+
+3
+00:00:29,110 --> 00:00:35,930
+tree geometry او حساب المثلثات ال chapter المهم و
+
+4
+00:00:35,930 --> 00:00:38,850
+خصوصا لما نتكلم في ال animation عن الظل و الأبعاد
+
+5
+00:00:38,850 --> 00:00:43,910
+و الأطوال اللي ممكن اعملها estimation في ال design
+
+6
+00:00:43,910 --> 00:00:49,550
+الخاص بيهاعفوا لكن قبل ما اروح على ال 3D Genometry
+
+7
+00:00:49,550 --> 00:00:53,310
+طبعا حملت ال chapter على ال model و حملت exercises
+
+8
+00:00:53,310 --> 00:00:57,210
+بتاعتي السنة الماضية لل chapter الأول و التاني
+
+9
+00:00:57,210 --> 00:01:01,890
+طبعا مطلوب منك تحل ال exercises جهزهم لإن اليوم
+
+10
+00:01:01,890 --> 00:01:04,990
+غالبا اليوم هنزلك assignment منهم تسلمني يوم
+
+11
+00:01:04,990 --> 00:01:08,570
+الجمعة على ال model فانت ابدا حل بال assignment أو
+
+12
+00:01:08,570 --> 00:01:13,710
+ال exercise اللي موجودة عندك كيف تسلمه على ال
+
+13
+00:01:13,710 --> 00:01:17,000
+modelبعد نهاية المحاضرة بقى اريك كيف ان شاء الله
+
+14
+00:01:17,000 --> 00:01:26,600
+تعالى اولا تري جونومتري او تري جونومتري جونومتري
+
+15
+00:01:26,600 --> 00:01:32,160
+المقصود فيها عبارة عن احنا بنعرف حساب المثلة
+
+16
+00:01:32,160 --> 00:01:34,820
+بتاعتك المصطلح العربي اللي عندنا اللي هي ال
+
+17
+00:01:34,820 --> 00:01:40,730
+measurement ل three sided polygonبوليغون أي شكل
+
+18
+00:01:40,730 --> 00:01:46,410
+مكوّن من مجموعة من الأطلاع بنسميه بوليغون أطلاع
+
+19
+00:01:46,410 --> 00:01:51,530
+بوليغون
+
+20
+00:01:51,530 --> 00:01:58,210
+و نقاط اتصالها لما بتكلم على three sided معناته
+
+21
+00:01:58,210 --> 00:02:02,070
+أنا بتكلم على بوليغون اللي له ثلاث أوجه فقط اللي
+
+22
+00:02:02,070 --> 00:02:04,290
+هو المثلة فقط
+
+23
+00:02:10,750 --> 00:02:17,590
+لو فكرنا نعمل المخزن هذا تمام بحيث أنه نصمم السجف
+
+24
+00:02:17,590 --> 00:02:22,630
+مايطيرش مع الريح الشديدة و في نفس الوقت لازم يكون
+
+25
+00:02:22,630 --> 00:02:27,130
+فيه محدار كويس للمي اللي بتتسقط في المطر ضمن
+
+26
+00:02:27,130 --> 00:02:32,710
+ارتفاع معقول فبيلزمني حساب مثلثات لأن هاي مثلث هي
+
+27
+00:02:32,710 --> 00:02:36,750
+اتنين و زانب ينظر لمثلث كله هي تلاتة لو أنا بتتكلم
+
+28
+00:02:36,750 --> 00:02:41,630
+سابق اتكلمنا علىالظل ففي أول اللي اتكلمنا في أول
+
+29
+00:02:41,630 --> 00:02:47,570
+محاضرة التقينا فيها اتكلمنا ان الظل تبع الشجرة هذه
+
+30
+00:02:47,570 --> 00:02:53,870
+بيرتبط بارتفاع مصدر الضوء او الشمس الآن الضوء
+
+31
+00:02:53,870 --> 00:02:57,170
+الساقط اول ما بيصطدم الضوء بالشجرة بيبدأ يتشكل
+
+32
+00:02:57,170 --> 00:03:00,870
+الظل من خلال الزاوية اللي موجودة هنا طبعا هذه
+
+33
+00:03:00,870 --> 00:03:05,970
+الزاوية وهذه الزاوية بحساب المثلثات هي نفس الزاوية
+
+34
+00:03:05,970 --> 00:03:15,630
+اللي موجودةأهلنا طيب دلوقت اتكلم على filletry
+
+35
+00:03:15,630 --> 00:03:20,110
+جيومتري هركز على حساب المثلثات بالدرجة الأولى
+
+36
+00:03:20,110 --> 00:03:25,250
+وفيها مجموعة من ال functions او مجموعة من الشغلات
+
+37
+00:03:25,250 --> 00:03:28,430
+اللي ظهرت مصطلح ال vector و ال transforms و ال
+
+38
+00:03:28,430 --> 00:03:33,310
+geometry و ال quantations و ال interpolation
+
+39
+00:03:33,310 --> 00:03:36,470
+هنشوفهم كمصطلحات خطوة خطوة بالرياضيات وشو
+
+40
+00:03:36,470 --> 00:03:41,060
+تطبيقاتهم في الرسمماذا سيغطي هذا الـ chapter معنا؟
+
+41
+00:03:41,060 --> 00:03:48,160
+قياسة الزاوية قياسات الزاوية ال ratios حسابات او
+
+42
+00:03:48,160 --> 00:03:52,620
+نسب المثلثية كما نسميها three geometry ratios او
+
+43
+00:03:52,620 --> 00:03:56,020
+الدوالة اللى احنا بنعرفها ال sign و ال cosine و ال
+
+44
+00:03:56,020 --> 00:03:59,840
+inverse تبعتهم والتان طبعا ال inverse ratios ال
+
+45
+00:03:59,840 --> 00:04:03,300
+geometries وفي عندى بعض ال rules زى ال sign rule و
+
+46
+00:04:03,300 --> 00:04:08,790
+ال cosine rule هنشوفهم في نهاية ال chapterطبعا شو
+
+47
+00:04:08,790 --> 00:04:13,910
+علاقة حساب المثلثات بالدائرة باللي موجود عندنا هان
+
+48
+00:04:13,910 --> 00:04:21,630
+الزوايا تبدأ من صفر حكيني عليها المرة الماضية 90
+
+49
+00:04:21,630 --> 00:04:32,530
+180 270 و برجع لصفر 360 و ببدأ بدورة جديدة و مع كل
+
+50
+00:04:32,530 --> 00:04:40,510
+نقطة على محيط الدائرةبكوّن مثلث مع كل نقطة على
+
+51
+00:04:40,510 --> 00:04:46,150
+محيط الدائرة بكوّن مثلث قائم الزرعية بالتحديد تمام
+
+52
+00:04:46,150 --> 00:04:53,410
+الآن تطبيقات
+
+53
+00:04:53,410 --> 00:04:57,530
+في الاستخدام انتوا
+
+54
+00:04:57,530 --> 00:05:02,490
+كلكوا رحتوا هنا اه؟ على الكلب؟ اه كويس فكرت كلكوا
+
+55
+00:05:02,490 --> 00:05:05,830
+عسكر اروح شارط بالمحاضرة انا بعدين طيب الان يا
+
+56
+00:05:05,830 --> 00:05:11,800
+شبابلما انا باطلع نظر مستقيم للامام على سبيل
+
+57
+00:05:11,800 --> 00:05:14,940
+المثال انا بدي اجهز فان و بدي اوجه نظري باتجاه
+
+58
+00:05:14,940 --> 00:05:18,720
+عدسة الكاميرا مباشرة هل فقط انا بشوف عدسة
+
+59
+00:05:18,720 --> 00:05:22,890
+الكاميرا؟لأ بشوف .. بشوف شغلات تانية .. بشوف شغلات
+
+60
+00:05:22,890 --> 00:05:27,630
+تانية أعلى من الكاميرا وشغلات تانية أسفل منها يعني
+
+61
+00:05:27,630 --> 00:05:31,290
+الآن فعليا في نظري أنا شايف بعض الرؤوس اللي جاية
+
+62
+00:05:31,290 --> 00:05:33,630
+ورا بس فعليا الملامح مش دقيقة مية في المية
+
+63
+00:05:33,630 --> 00:05:37,830
+بالنسبالي ليش؟ لأن ال focus تبعي مش مركز عليه مركز
+
+64
+00:05:37,830 --> 00:05:41,230
+على الكاميرا ذاتها طيب .. الآن هذا ال horizontal
+
+65
+00:05:41,230 --> 00:05:45,990
+line اللي هو مستوى نظري مستقيم أزاي اللي اتشكلت
+
+66
+00:05:45,990 --> 00:05:52,490
+لفوقهذه نسميها angle of elevation الزاوية العليا
+
+67
+00:05:52,490 --> 00:05:57,110
+والانجل of depression اللي هي تكون الزاوية الأسفل
+
+68
+00:06:00,820 --> 00:06:05,160
+زاوية الإحباط أو زاوية الشموخ أو الكبرياء أسميها
+
+69
+00:06:05,160 --> 00:06:11,500
+زي ما بدك الآن لما تشوف شخص مغرور ماشي ماشي ماشي
+
+70
+00:06:11,500 --> 00:06:19,400
+ماشي ماشي ماشي ماشي ماشي ماشي ماشي ماشي ماشي ماشي
+
+71
+00:06:19,400 --> 00:06:21,620
+ماشي ماشي ماشي ماشي ماشي ماشي ماشي ماشي ماشي ماشي
+
+72
+00:06:21,620 --> 00:06:21,900
+ماشي ماشي ماشي ماشي ماشي ماشي ماشي ماشي ماشي ماشي
+
+73
+00:06:21,900 --> 00:06:21,900
+ماشي ماشي ماشي ماشي ماشي ماشي ماشي ماشي ماشي ماشي
+
+74
+00:06:21,900 --> 00:06:22,140
+ماشي ماشي ماشي ماشي ماشي ماشي ماشي ماشي ماشي ماشي
+
+75
+00:06:22,140 --> 00:06:30,550
+ماشي ماشي ماشي ماشي ماشي ماشي ماشهذه الزاوية
+
+76
+00:06:30,550 --> 00:06:34,910
+بتنعكس او بتختلف حصا من ال object اللى بينظر
+
+77
+00:06:34,910 --> 00:06:38,530
+للتانى مثلا ال بارجة high و ال F16 اللى فى
+
+78
+00:06:38,530 --> 00:06:44,270
+المقاتلة اللى فى الجو الآن
+
+79
+00:06:44,270 --> 00:06:50,950
+المقاتلة بالنسبة للبارجة فى ال angle of elevation
+
+80
+00:06:50,950 --> 00:06:54,990
+اللى انا جاها فيهاش فى الزاوية العليا مصبوط؟ ايوة
+
+81
+00:06:54,990 --> 00:07:01,590
+والعكس صحيحفيما يتعلق البارجة بالنسبة لمن؟ للطيارة
+
+82
+00:07:01,590 --> 00:07:06,610
+والعلاقة بينهم خط مستقيم واحد هو اللي ليش بفصل انت
+
+83
+00:07:06,610 --> 00:07:09,790
+الآن هاي الخط المستقيم خلنا نقول من خلال كامرة
+
+84
+00:07:09,790 --> 00:07:18,710
+الطائرة وهي الخط المستقيم الخاص بالبارجة الآن وقبل
+
+85
+00:07:18,710 --> 00:07:22,230
+الافتقار هايهم اذا احنا اتفقنا ان الزاية اللي فوق
+
+86
+00:07:22,230 --> 00:07:22,570
+elevation
+
+87
+00:07:27,150 --> 00:07:31,570
+وهنا ال depression معناته البرج بالنسبة للطائرة دي
+
+88
+00:07:31,570 --> 00:07:37,170
+في ال depression والعكس صحيح ال depression
+
+89
+00:07:37,170 --> 00:07:42,050
+للباخرة الباخرة بتطلع الطيارة فوق ولا لتحت حاجة
+
+90
+00:07:42,050 --> 00:07:46,130
+اللي في زيتين الزي اللي فوق elevation والزي اللي
+
+91
+00:07:46,130 --> 00:07:51,690
+تحت depression الأهم مين اللي بتطلع لفوقالبارجة
+
+92
+00:07:51,690 --> 00:07:55,270
+معناته البارجة بالنسبة له البارجة الطائرة ضمن ال
+
+93
+00:07:55,270 --> 00:08:02,130
+elevation angle طبعا؟ كده؟
+
+94
+00:08:02,130 --> 00:08:07,790
+ولا إشي؟ طيب
+
+95
+00:08:07,790 --> 00:08:15,050
+ليش هذا الكلام مهم يا شباب؟ من تطبيقاته كذلك من
+
+96
+00:08:15,050 --> 00:08:18,370
+تطبيقات الحساب المثلثات الآن
+
+97
+00:08:22,010 --> 00:08:26,510
+الـ pointer هذا موجود بالمسافة هذه أنا شايف كل
+
+98
+00:08:26,510 --> 00:08:33,310
+تفاصيله لو جربته العيني بشوف جزء منه و لو جربته
+
+99
+00:08:33,310 --> 00:08:36,910
+أكتر بشوف جزء أقل كذلك يبقى انه زي ما حكينا المرة
+
+100
+00:08:36,910 --> 00:08:39,670
+الماضية برضه أنا بنظر لل .. باتجاه الباب الآن
+
+101
+00:08:39,670 --> 00:08:44,970
+المنظور هذا أو الزاوية هذه هي زاوية الرؤية زاوية
+
+102
+00:08:44,970 --> 00:08:48,290
+الرؤية الموجودة عندي هنا إذا كل ما أنا .. هي
+
+103
+00:08:48,290 --> 00:08:53,760
+الجدار كل ما أنا بروح باتجاه الجدارالزاوية بتجلب،
+
+104
+00:08:53,760 --> 00:08:58,840
+مظبوط؟ الزاوية نفسها حبال ثابتة لإن مستوى انهي مش
+
+105
+00:08:58,840 --> 00:09:03,720
+هيتغير بالخطوة و التانية إلا لو نزلت درجة أو طلعت
+
+106
+00:09:03,720 --> 00:09:07,600
+درجة تانية لكن كل ما أنا على flat area ما هي
+
+107
+00:09:07,600 --> 00:09:11,700
+تزاوية نظرية واحدة ثابتة ارتفاعية لكن كل ما أنا
+
+108
+00:09:11,700 --> 00:09:17,720
+بجرب الزاوية من الجدارالارتفاع اللى بيصير مدى
+
+109
+00:09:17,720 --> 00:09:20,740
+الرؤية هما نسميه احنا ارتفاع الرؤية او مدى الرؤية
+
+110
+00:09:20,740 --> 00:09:24,340
+اللى انا بتكلم عليه بجل عشان هيك فى التصوير لما
+
+111
+00:09:24,340 --> 00:09:28,600
+انت بدك تعمل graphic صح بدك تفترض position
+
+112
+00:09:28,600 --> 00:09:32,040
+للكاميرا و position للكورة او الشغل اللى انت بدك
+
+113
+00:09:32,040 --> 00:09:37,460
+تصورها و لما بدها تجرب الكاميرا تمام الاصل بدك
+
+114
+00:09:37,460 --> 00:09:42,600
+تعمل zoom out كبر العنصر اللى موجود هذا عشان تبين
+
+115
+00:09:42,600 --> 00:09:44,220
+صورته بشكل واضح
+
+116
+00:09:53,120 --> 00:09:58,340
+الان في ما يتعلق بقياس الزوايا انا في عندي two
+
+117
+00:09:58,340 --> 00:10:03,720
+unit لقياس الزوايا في عندي ال degree ال degree
+
+118
+00:10:03,720 --> 00:10:10,160
+الدرجة و فيها بتتم تقسيم الزوايا من صفر ل تلاتمية
+
+119
+00:10:10,160 --> 00:10:13,580
+او عفوا انت قسمت زواية الدائرة عشان هي قلتلك ليش
+
+120
+00:10:13,580 --> 00:10:19,860
+الدائرة انا تلاتمية
+
+121
+00:10:19,860 --> 00:10:20,740
+و ستين درجة
+
+122
+00:10:24,780 --> 00:10:28,220
+لما انا بتكلم قياسي الزاوية بده تمت بليوحدة الدرجة
+
+123
+00:10:28,220 --> 00:10:34,960
+بتكلم على تلاتمية وستين درجة والدرجة بتحتوي على
+
+124
+00:10:34,960 --> 00:10:43,320
+ستين دقيقة والان والدقيقة بتحتوي على ستين ثانية
+
+125
+00:10:43,320 --> 00:10:46,620
+لكن احنا بالعادة بنتكلم فقط على ال degree
+
+126
+00:10:46,620 --> 00:10:49,660
+ومايهمناش التفاصيل التانية كتير ليش لأنه احنا لما
+
+127
+00:10:49,660 --> 00:10:54,560
+نتكلم قاعدين على مقضفات ولا بهمناالتفاصيل الكتيرة
+
+128
+00:10:54,560 --> 00:10:58,000
+هي .. درجة .. خلينا نتكلم احنا بس على القيمة اللي
+
+129
+00:10:58,000 --> 00:11:02,560
+موجودة هنا وقيمة اللي انا بستخدمها لأجل التعبير عن
+
+130
+00:11:02,560 --> 00:11:06,200
+الزاوية او الدرجة هي قيمة العشرية اللي انا
+
+131
+00:11:06,200 --> 00:11:09,880
+بستخدمها طبعا من ضمن الشغلات الأساسية اللي احنا
+
+132
+00:11:09,880 --> 00:11:16,020
+بنعرفها الزوايا الداخلية للمثلث مجموعهم مية و
+
+133
+00:11:16,020 --> 00:11:23,870
+تمانين درجة اي مثلث اي مثلثأي مثلث مجموع الزوايا
+
+134
+00:11:23,870 --> 00:11:30,320
+الداخلية اللي له 180 درجةيعني بصير انا لو افر في
+
+135
+00:11:30,320 --> 00:11:36,460
+اي مثلث زاويتين بقدر اجيب التالتة وطبعا لما باجي
+
+136
+00:11:36,460 --> 00:11:40,820
+بتكلم على مثلث متواصل متساول اطلع او متساول
+
+137
+00:11:40,820 --> 00:11:44,820
+اتضلعين او بتكلم مثلث على قائم الزاوية هدى هتسعدى
+
+138
+00:11:44,820 --> 00:11:48,200
+في قوانين تانية هتصير مثلا ابدلالت زاوية او ضلع
+
+139
+00:11:48,200 --> 00:11:52,260
+اجيب او ضلعين عفوا اجيب باجي الزاوية اللى موجودة
+
+140
+00:11:52,260 --> 00:11:59,560
+عندى على المثلث اللى هنا طيب الانيعني احنا الان
+
+141
+00:11:59,560 --> 00:12:05,860
+بتكلم على 180 درجة لما بتكلم بستخدم الدرجة كوحدة
+
+142
+00:12:05,860 --> 00:12:14,660
+في قياس لزاوية المثلث وفي
+
+143
+00:12:14,660 --> 00:12:19,800
+عندي النظام الدائري او ال radian اللي هي القياس
+
+144
+00:12:19,800 --> 00:12:23,600
+التاني الان في عندي قياسين واحد اللي هو ال degree
+
+145
+00:12:23,600 --> 00:12:26,680
+اتنين
+
+146
+00:12:26,680 --> 00:12:33,100
+اللي هوالراديان الان
+
+147
+00:12:33,100 --> 00:12:37,600
+لما انا بقى اجي بتكلم على الراديان انا قاعد باتكلم
+
+148
+00:12:37,600 --> 00:12:44,890
+على محيط الدائرة اجي بتكلم على محيط الدائرةأن
+
+149
+00:12:44,890 --> 00:12:48,230
+الدائرة زي ما قلنا قبل شوية هي الأساس وبالمناسبة
+
+150
+00:12:48,230 --> 00:12:52,550
+الدائرة هذه بنتكلم على دائرة الوحدة يعني نصف قطرها
+
+151
+00:12:52,550 --> 00:12:59,110
+يساوي واحد بتكلم على دائرة نصف قطرها واحد unit ال
+
+152
+00:12:59,110 --> 00:13:02,350
+unit دي ممكن تكون متر ممكن تكون centimeter ممكن
+
+153
+00:13:02,350 --> 00:13:05,730
+تكون نصف centimeter مش قضية بس في الآخر في وحدة
+
+154
+00:13:05,730 --> 00:13:08,870
+واحدة ثابتة موجودة غالبا لما نتكلم على الرسم
+
+155
+00:13:08,870 --> 00:13:13,460
+بنرسمها على الدفتر نستخدم واحد centimeterتمام الان
+
+156
+00:13:13,460 --> 00:13:18,820
+انا بتكلم على radial unit معناته انا بتكلم على
+
+157
+00:13:18,820 --> 00:13:25,200
+مطبع من محيط الدائرة مطبع
+
+158
+00:13:25,200 --> 00:13:33,960
+من محيط الدائرة يكون يساوي .. يساوي نص القطر جدش
+
+159
+00:13:33,960 --> 00:13:39,330
+نص القطر يعني اللي اناواحد يعني بين جثين بدي اجي
+
+160
+00:13:39,330 --> 00:13:45,810
+اجسم محيط الدائرة اللي نصف قطرها واحد تمام لقطع
+
+161
+00:13:45,810 --> 00:13:51,350
+متساوية جديش طول كل قطعة واحدة واحدة طيب احنا
+
+162
+00:13:51,350 --> 00:13:59,970
+بنعرف محيط الدائرة جديش يا شباب اتنين باي ار اتنين
+
+163
+00:13:59,970 --> 00:14:05,320
+قانق مظبوط ال by اللي هي تلاتة واربعاش من ميةهو
+
+164
+00:14:05,320 --> 00:14:10,040
+الاربس في القطع قيمتها واحد يعني انا بدي اروح اجسم
+
+165
+00:14:10,040 --> 00:14:17,160
+محيط الدائرة اللي هو اتنين باي تمام لمجموعة
+
+166
+00:14:17,160 --> 00:14:22,220
+متساوية من القطع كل واحدة قيمتها واحد واحدة واحدة
+
+167
+00:14:22,220 --> 00:14:29,960
+ال باي هذه هي ال مية و تمانين من صفر لمية و تمانين
+
+168
+00:14:29,960 --> 00:14:37,170
+مصبوط اتنين باي360 درجة و من هنا اجت العلاقة ما
+
+169
+00:14:37,170 --> 00:14:45,090
+بين ال radian و ال degree ليش 360 درجة بالتحديد مش
+
+170
+00:14:45,090 --> 00:14:51,530
+500 درجة ولا 200 ولا 350لأن 2π محيط الدائرة النصف
+
+171
+00:14:51,530 --> 00:14:56,830
+قطرها بيتم تقسيمها لمجموعها من القطع وكل قطع طبعا
+
+172
+00:14:56,830 --> 00:15:01,330
+تشكل زاوية هي هالصفر واحد اتنين تلاتة اربع الى
+
+173
+00:15:01,330 --> 00:15:04,710
+اخره من القياسات اللى موجودة عندها طبعا سيبنى من
+
+174
+00:15:04,710 --> 00:15:07,210
+القيمة اللى موجودة بس الفكرة فى التقسيم ان لازم
+
+175
+00:15:07,210 --> 00:15:10,750
+التقسيم تكون قيمة متساوية بنفس القول اللى موجود
+
+176
+00:15:10,750 --> 00:15:15,940
+عندهايعني الأهم كمان مرة لما تشوف الصورة هاي بقيته
+
+177
+00:15:15,940 --> 00:15:22,460
+أنا بتكلم على دائرة الوحدة لنص قطها طوله واحدة
+
+178
+00:15:22,460 --> 00:15:29,540
+واحدة والradian باعد كمان مرة هي عبارة عن مقطع من
+
+179
+00:15:29,540 --> 00:15:35,020
+محيق الدائرة أو جوس على محيق الدائرة يساوي نصف
+
+180
+00:15:35,020 --> 00:15:39,980
+القطر يساوي نصف القطر يعني شباب لو انا اجيت قلتلك
+
+181
+00:15:44,480 --> 00:15:48,700
+الدائرة هذه الار
+
+182
+00:15:48,700 --> 00:15:53,780
+تبعتها تساوي اتنين unit الار تبعتها نص القطر تساوي
+
+183
+00:15:53,780 --> 00:16:00,620
+اتنين و سألتك ال arc اللي انا بدي اقطعه اللي بدي
+
+184
+00:16:00,620 --> 00:16:08,080
+يمثل one radian جديش قوله فضل اتنين لان احنا قلنا
+
+185
+00:16:08,080 --> 00:16:11,580
+كمان مرة ال radian هي عبارة عن نقطة
+
+186
+00:16:15,930 --> 00:16:21,930
+من المحيط الدائرة يساوي نصف القطر يساوي نصف القطر
+
+187
+00:16:21,930 --> 00:16:26,890
+طيب ال perimeter ها شباب ال perimeter اللي هو
+
+188
+00:16:26,890 --> 00:16:32,790
+مقصود فيها محيط الدائرة محيط الدائرة طيب الآن
+
+189
+00:16:32,790 --> 00:16:36,130
+معناته
+
+190
+00:16:36,130 --> 00:16:41,330
+انا في عندي علاقة ما بين ال 360 والاتنين بال ولا
+
+191
+00:16:41,330 --> 00:16:45,760
+لأفي عندى الان تلت .. في عندى تلتمية و ستين درجة
+
+192
+00:16:45,760 --> 00:16:54,380
+بتتساوي اتنين باى اتنين باى يعني انا بقدر احول من
+
+193
+00:16:54,380 --> 00:17:00,040
+degree لريبين
+
+194
+00:17:00,040 --> 00:17:03,200
+والعكس
+
+195
+00:17:03,200 --> 00:17:09,610
+بناء على العلاقة اللى موجودة عندى همطب اتنية و
+
+196
+00:17:09,610 --> 00:17:14,210
+ستين و اتنين و اتنين باي معناته انا في عندي مية و
+
+197
+00:17:14,210 --> 00:17:20,630
+تمانين درجة تساوي باي طيب لو انا اتي اتزيبتك و
+
+198
+00:17:20,630 --> 00:17:24,810
+قولتلك انا عندك مية و خمسين درجة جداش تساوي بال
+
+199
+00:17:24,810 --> 00:17:31,850
+radian شو بيك تساوي؟ كيف حصلت على خمسة على ستة؟
+
+200
+00:17:31,850 --> 00:17:38,010
+انا بجد بقولك عندك مية و خمسين درجة جداش بتهتساوي
+
+201
+00:17:40,260 --> 00:17:47,740
+الآية ما تنساش ان كل 180 درجة تتساوي باي فانت عشان
+
+202
+00:17:47,740 --> 00:17:54,010
+تحول ال X من ال degree تبعتكطبعاً لـ PY ماذا يجب
+
+203
+00:17:54,010 --> 00:17:59,530
+أن تفعل؟ يجب أن تجسم X على 108 مضروبة في PY
+
+204
+00:17:59,530 --> 00:18:06,130
+البنطقية تقول بي 180 في 181 مظبوط؟ وبالتالي القيمة
+
+205
+00:18:06,130 --> 00:18:10,290
+لن تتغير لكن عندما أضيف PY لدي هيك بحصل على
+
+206
+00:18:10,290 --> 00:18:17,890
+النتيجة الصحيحة اللي موجودة نرجع لمثال 150 150 على
+
+207
+00:18:17,890 --> 00:18:19,190
+180
+
+208
+00:18:20,970 --> 00:18:28,850
+باي هيك نقول 150 بال degree بيبقى تساوي 150 على
+
+209
+00:18:28,850 --> 00:18:36,450
+180 في ال باي صفر مع صفر و هن خمسة و هن ستة جسمت
+
+210
+00:18:36,450 --> 00:18:40,270
+على تلاتة، مظبوط؟ بعدك في اقتصار؟ لأ، بقى تقول هذا
+
+211
+00:18:40,270 --> 00:18:46,530
+تساوي خمسة على ستة باي هي ال 150 درجة التسعين درجة
+
+212
+00:18:49,510 --> 00:18:58,710
+تسعين درجة بدها تساوي تسعين على مية وتمانين في by
+
+213
+00:18:58,710 --> 00:19:07,010
+تساوي نص by او اللي بتسميها احنا by على اتنين تمام
+
+214
+00:19:07,010 --> 00:19:12,250
+يا شباب؟ طيب كيف اميز القياس اللي موجود عندي انا
+
+215
+00:19:12,250 --> 00:19:15,610
+في البداية؟ كيف اميز القياس اللي موجود عندي في
+
+216
+00:19:15,610 --> 00:19:19,930
+البداية؟ هو مدينيها بال degreeولا مديني يد ال
+
+217
+00:19:19,930 --> 00:19:23,650
+radian اذا
+
+218
+00:19:23,650 --> 00:19:28,570
+جال لي radian معناته ال pi لازم تكون جزء منه مظبوط
+
+219
+00:19:28,570 --> 00:19:32,810
+لازم ال pi تكون جزء منه و اذا جال لي degree او
+
+220
+00:19:32,810 --> 00:19:38,330
+كتاب لي رقم زي هيك مثلا خمسة وسبعين اما بكتبلي
+
+221
+00:19:38,330 --> 00:19:45,530
+اللي بحط في ال textsuper text مرتفع circle رمز
+
+222
+00:19:45,530 --> 00:19:49,490
+الدرجة او بيقول خمسة وتسعين او خمسة وسبنين افوا
+
+223
+00:19:49,490 --> 00:20:00,630
+degree تمام يعني
+
+224
+00:20:00,630 --> 00:20:06,610
+الان من degree ل radian ايش بتروح اسوي؟ بدي اضرب
+
+225
+00:20:06,610 --> 00:20:14,410
+في πاي على مية و تمانين اصبت؟من degree ل radian
+
+226
+00:20:14,410 --> 00:20:22,810
+بدي اضرب في باي على 180 طب من radian ل degree بدي
+
+227
+00:20:22,810 --> 00:20:26,750
+اضرب في ايش؟ في 180 على باي لأن العملية هتكون
+
+228
+00:20:26,750 --> 00:20:33,070
+عملية عكسية لأن العملية هتكون العملية العكسية 180
+
+229
+00:20:33,070 --> 00:20:37,130
+على باي تعالى بشوف على سبيل المثال بقول انا في
+
+230
+00:20:37,130 --> 00:20:39,770
+عندي 3 على 4 باي
+
+231
+00:20:44,190 --> 00:20:50,190
+تلاتة على أربعة باى جدشته ساوي بال
+
+232
+00:20:50,190 --> 00:20:58,210
+degree هذه بيبقى تساوي تلاتة باى على أربعة ضرب مية
+
+233
+00:20:58,210 --> 00:21:05,150
+و تمانين على باى ال by تروح مع ال by أنا على أربعة
+
+234
+00:21:05,150 --> 00:21:14,790
+على أربعة كمسة و أربعينخمسة و أربعين تلاتة في خمسة
+
+235
+00:21:14,790 --> 00:21:20,610
+و أربعين مية خمسة و تلاتين degree
+
+236
+00:21:20,610 --> 00:21:31,310
+طبعا طيب لو أنا سألتك one radian unit واحدة واحدة
+
+237
+00:21:31,310 --> 00:21:36,830
+من ال by قدش تساوي 180 هاد ال by كلها تساوي مية و
+
+238
+00:21:36,830 --> 00:21:39,610
+تمانين one radian
+
+239
+00:21:45,110 --> 00:21:50,590
+one radian مقبع واحد على محيط دائرة اقولها واحد
+
+240
+00:21:50,590 --> 00:21:54,890
+واحد سانتي one unit مظبوط مابجدش الزاوية اللي
+
+241
+00:21:54,890 --> 00:22:05,930
+بتشكلها ال radian الان
+
+242
+00:22:05,930 --> 00:22:11,370
+احنا فيه عندنا value لل buy مظبوطفي عندنا value لل
+
+243
+00:22:11,370 --> 00:22:17,710
+buy قيمتها تلاتة فاصلة أربعة عشر قيمتها تلاتة
+
+244
+00:22:17,710 --> 00:22:24,590
+فاصلة أربعة عشر تمام الان انا في عندي one meridian
+
+245
+00:22:24,590 --> 00:22:30,630
+انا
+
+246
+00:22:30,630 --> 00:22:37,130
+عندي one meridian بدي احولها ل degreeبدي اعرف ال
+
+247
+00:22:37,130 --> 00:22:41,030
+degree قداش ايش قولنا بنساوي بدي اخد ال radian هذي
+
+248
+00:22:41,030 --> 00:22:47,590
+و اضربه في مية وتمانين على باى واحد في مية وتمانين
+
+249
+00:22:47,590 --> 00:22:51,590
+على باى يا شباب مية وتمانين على باى يعني تساوي مية
+
+250
+00:22:51,590 --> 00:22:57,730
+وتمانين على تلاتة فاصلة اربعة عشر يعني تقريبا سبعة
+
+251
+00:22:57,730 --> 00:23:04,270
+و خمسين فاصلة تلاتة approximately القيمة مش لإنه
+
+252
+00:23:04,270 --> 00:23:10,260
+عملنا ال truncation يعنيتمام يعني قيمة كل one
+
+253
+00:23:10,260 --> 00:23:20,120
+radian بيمثل سبعة و خمسين degree تمام الأمور واضحة
+
+254
+00:23:20,120 --> 00:23:21,040
+لحد اللحظة شباب
+
+255
+00:23:35,340 --> 00:23:41,500
+جبل ما نبدأ بالتحويل تعالى تشوفلي هان عادة في
+
+256
+00:23:41,500 --> 00:23:48,600
+موضوع الزوايا ممكن تظهر عندك واحد من الرموز اللى
+
+257
+00:23:48,600 --> 00:23:54,560
+موجودة عندها هذا المفروض مربع هى الكامل الصورة
+
+258
+00:23:54,560 --> 00:23:59,500
+يعني
+
+259
+00:23:59,500 --> 00:24:04,880
+بس ال slide بدها خط هان تكتمل الزاوية right angle
+
+260
+00:24:05,880 --> 00:24:12,180
+أقصد فيها زاوية قائمة straight
+
+261
+00:24:12,180 --> 00:24:18,100
+angle مستقيمة و full rotation دورة كاملة يعني تلت
+
+262
+00:24:18,100 --> 00:24:23,620
+مية و ستين درجة طيب على رأي هداك الواحد الواحد
+
+263
+00:24:23,620 --> 00:24:28,800
+تغير حياته تلت مية و ستين درجة يا شباب ماتغيرش
+
+264
+00:24:28,800 --> 00:24:34,890
+مظبوططيب اللي هتعالى نحوّل بقول لي في عندك مجموعة
+
+265
+00:24:34,890 --> 00:24:42,470
+من ال degrees و بدي أحوّلهم ل radian بدي أحوّلهم ل
+
+266
+00:24:42,470 --> 00:24:48,310
+radian قولنا بضرب في باي باي على في x على مية و
+
+267
+00:24:48,310 --> 00:24:53,490
+تمانين الخمسة و أربعين يا شباب خمسة و أربعين في
+
+268
+00:24:53,490 --> 00:25:01,990
+باي على مية و تمانين واحد اربعة سوى بايعلى اربعة
+
+269
+00:25:01,990 --> 00:25:06,950
+بس
+
+270
+00:25:06,950 --> 00:25:11,570
+150
+
+271
+00:25:11,570 --> 00:25:14,690
+حسبناها
+
+272
+00:25:14,690 --> 00:25:24,390
+قبل شوية كانت خمسة by على ستة تلت مية و سبعين تلت
+
+273
+00:25:24,390 --> 00:25:33,110
+مية و سبعين by على مية و تمانينواحد فاصلة جديش
+
+274
+00:25:33,110 --> 00:25:40,050
+واحد يعني هي بدها عشرة تلت مية و سبعين جديش الشباب
+
+275
+00:25:40,050 --> 00:25:45,410
+بالمناسبة تلت مية و سبعين جديش اتنين فاصلة واحد مش
+
+276
+00:25:45,410 --> 00:25:51,330
+واحد فاصلة تسعة تلت مية و سبعين كملت الدورة يعني
+
+277
+00:25:51,330 --> 00:25:56,990
+هذه تساوي اتنين
+
+278
+00:25:56,990 --> 00:25:59,210
+فاصلة واحد
+
+279
+00:26:01,270 --> 00:26:06,890
+تقريبا by و
+
+280
+00:26:06,890 --> 00:26:14,870
+لو أنت كتبت هذه بس بالمناسبة واحد غلط عرف ليش؟ لأن
+
+281
+00:26:14,870 --> 00:26:18,770
+هي تقريبا عشرة على مية و تمانين يعني واحد على
+
+282
+00:26:18,770 --> 00:26:24,470
+تمنتاش اتنين فاصلة صفر خمسة تقريبا خمسة من مية
+
+283
+00:26:24,470 --> 00:26:31,850
+تقريبا وانشئت جول كمان اكتر شوية ممشي الحل نعملازم
+
+284
+00:26:31,850 --> 00:26:40,130
+تكون بدلالة باي اي 3.14 اذا انت بدك value 3.14
+
+285
+00:26:40,130 --> 00:26:45,650
+طبعا لكن عادة .. عادة انا بالجيب اقول ان ال value
+
+286
+00:26:45,650 --> 00:26:49,590
+هاي خلاص بجرب اشوف ال باي بقول رديان لكن لو قدر
+
+287
+00:26:49,590 --> 00:26:59,090
+على سبيل المثال و قاللي انا في عندك خمسة رديان و
+
+288
+00:26:59,090 --> 00:27:07,470
+سكتجدش قيزة الساوي خمسة باي لأ يا صاحبي لأ توريب
+
+289
+00:27:07,470 --> 00:27:11,090
+ان الواحد جدش حسبناها شباب سبعة و خمسين معناته بدك
+
+290
+00:27:11,090 --> 00:27:19,530
+تضرب هذا خمسة ضرب مية و تمانين على باي عشان تجيبه
+
+291
+00:27:19,530 --> 00:27:23,370
+بال degree وهذا جدشه ساوي هذا تلزمك ال calculator
+
+292
+00:27:23,370 --> 00:27:27,730
+او تلزمك الحاسب عشان تتجسم في الآخر على تلاتة و
+
+293
+00:27:27,730 --> 00:27:33,340
+تمانتاش او تلاتة فاصلة اربعة اتاش من مية عفواأيوة
+
+294
+00:27:33,340 --> 00:27:37,440
+لو قالك الآن خليني احنا نطلع بس من هدول و نرجع
+
+295
+00:27:37,440 --> 00:27:42,280
+لسؤال بكل بساطة اجى قاللي انا في عندي خمسة degree
+
+296
+00:27:42,280 --> 00:27:49,100
+و هاتلي إياها بالradian مباشرة بتروح انت بتقول
+
+297
+00:27:49,100 --> 00:27:56,780
+خمسة byعلى 180 المسألة خلصت هيك اذا انا بالدكيات
+
+298
+00:27:56,780 --> 00:28:00,520
+تقولي في الآخر كام radian بالتفصيل بكتوب خمسة في
+
+299
+00:28:00,520 --> 00:28:04,260
+πاي التي هي تلاتة واربعة عشر على مية تمانين هتطلع
+
+300
+00:28:04,260 --> 00:28:11,100
+قيمة أقل من واحد من عشر ليش؟ لأن ال radian من واحد
+
+301
+00:28:11,100 --> 00:28:15,060
+قيمته سبعة وخمسين انا باخد خمسة تقريبا أقل من واحد
+
+302
+00:28:15,060 --> 00:28:19,450
+من عشر هتطلع الزاوية هذه بال radianطيب لو انا اجيت
+
+303
+00:28:19,450 --> 00:28:26,570
+و قولتلك الخمسة بايا دي حولليها ل radian ايش
+
+304
+00:28:26,570 --> 00:28:31,490
+المطلوب مني انا اساوي اضرب في مية و تمانين عفوا
+
+305
+00:28:31,490 --> 00:28:36,790
+خمسة degree حولليها ل radian اضرب في بايا على مية
+
+306
+00:28:36,790 --> 00:28:42,310
+و تمانين و خلاص ليش يا صاحبي ليش العكس انا جاعل
+
+307
+00:28:42,310 --> 00:28:46,550
+بقولك عندك خمسة degree دي هتحولليها ل radianيعني
+
+308
+00:28:46,550 --> 00:28:53,170
+انا بتتجسم على 180 و تطبق في ال by هيه هيه القانون
+
+309
+00:28:53,170 --> 00:28:57,950
+الاصحابي .. لأ هذا ال radian تمام؟ الأن برجع بأكيد
+
+310
+00:28:57,950 --> 00:29:06,610
+كمان مرة شباب لو إيجي قاللي عندي أنا مثلا تلاتة
+
+311
+00:29:06,610 --> 00:29:11,050
+على خمسة by القياس هذا بأي .. بأي زاوية؟ إيش
+
+312
+00:29:11,050 --> 00:29:15,510
+الوحدة في القياس؟ ال radian هتلي يسوي كام degree؟
+
+313
+00:29:17,500 --> 00:29:25,160
+هتضرب مباشرة الآن تلاتة ضرب مية و تمانين باي على
+
+314
+00:29:25,160 --> 00:29:33,980
+خمسة باي او عشان ما تخربطش تلاتة
+
+315
+00:29:33,980 --> 00:29:43,640
+باي على خمسة ضرب مية و تمانين على باي وهنا
+
+316
+00:29:46,740 --> 00:29:54,000
+بعد 180 على 5 يا شباب اربعين
+
+317
+00:29:54,000 --> 00:29:58,400
+ستة و تلاتين ايه طب حجيره في حد عنده حسبات تانية
+
+318
+00:29:58,400 --> 00:30:01,920
+ستة و تلاتين اربعين مستحيل يتكون اللي المفروض تطلع
+
+319
+00:30:01,920 --> 00:30:09,360
+عليك متين اصبت؟ ايه وهذه بتتساوي ستة
+
+320
+00:30:09,360 --> 00:30:14,600
+و تلاتين في تلاتة بنتكلم على مية و تمانية
+
+321
+00:30:19,150 --> 00:30:27,410
+degree تمام برجع بذكرك اذا جالك هى القيمة ماتوا
+
+322
+00:30:27,410 --> 00:30:29,930
+بيختاروا من اللي بقى فى ال consideration تبعتك لو
+
+323
+00:30:29,930 --> 00:30:39,110
+دا جالك زى ما فى المثال راح جالك انا فى عندي 114
+
+324
+00:30:39,110 --> 00:30:43,490
+.6 radian
+
+325
+00:30:48,550 --> 00:30:58,930
+كم degree؟ مباشرة بدك تاخد 114.6 ضرب 180 على باي
+
+326
+00:30:58,930 --> 00:31:04,470
+طيب عشان اجيب ال value الصحيحة شوف ما بدي اساوي
+
+327
+00:31:04,470 --> 00:31:10,990
+لان فإن ان انت بحاجة تعوض مكان ال by 3 و 14 يعني
+
+328
+00:31:10,990 --> 00:31:17,090
+انت مش في كل المسالح هتضطر تعود ال by طيب تقريبا
+
+329
+00:31:17,090 --> 00:31:17,890
+قداش بتطلع الشباب
+
+330
+00:31:21,800 --> 00:31:29,140
+درب هيك رقم في الألف في الألف ايوة
+
+331
+00:31:29,140 --> 00:31:34,820
+ثلاثمية ثلاثمية بدناش نفتح مزاد احنا برضه حاول
+
+332
+00:31:34,820 --> 00:31:37,480
+اعمل calculation بسيطة ع الشغل اربطه في شغل المرة
+
+333
+00:31:37,480 --> 00:31:45,240
+تعالى قبل شوية سبعة و خمسين ايوة
+
+334
+00:31:45,240 --> 00:31:51,160
+سبعة و خمسينهذا الان متكلم على Radian كل واحد فيهم
+
+335
+00:31:51,160 --> 00:31:59,220
+قيمته 57.3 يعني عندك 100 على الأقل في 57 فمتكلم
+
+336
+00:31:59,220 --> 00:32:04,760
+على 5700 أطوع يعني متكلم على 6000 وفور، مصبوط؟
+
+337
+00:32:04,760 --> 00:32:08,340
+فانت برضه يعني بيبقى تكون شويش منتبه وحاول تشغل
+
+338
+00:32:08,340 --> 00:32:10,980
+دماغك في الموضوع الحسبة البسيطة اللي عندنا هي،
+
+339
+00:32:10,980 --> 00:32:20,630
+تمام؟ حوّلنا الآن من Radian ل degreeبالعكس بنضغط
+
+340
+00:32:20,630 --> 00:32:28,190
+في 180 على باي احنا already بدنا نحول باي على
+
+341
+00:32:28,190 --> 00:32:39,910
+تلاتة في 180 باي على تلاتة برب 180 على باي ال باي
+
+342
+00:32:39,910 --> 00:32:44,130
+مع ال باي و تلاتة مع التمنتعش ستة يعني ستين درجة
+
+343
+00:32:44,130 --> 00:32:46,410
+تمام؟
+
+344
+00:32:47,400 --> 00:32:53,600
+تنين باي على ضعفها مية و عشرين الأخيرة حلناها قبل
+
+345
+00:32:53,600 --> 00:33:01,800
+شوية مصبوط مية و أربعة و أربعين تمام في اي مشكلة
+
+346
+00:33:01,800 --> 00:33:08,220
+يا شباب في التحويل ال
+
+347
+00:33:08,220 --> 00:33:17,080
+باي على تلاتة سوى ستين رديان حرام عليك هي رديان60
+
+348
+00:33:17,080 --> 00:33:22,040
+degree 60 درجة هي radian ماتنساش قولك يا شباب
+
+349
+00:33:22,040 --> 00:33:28,040
+تنخدع لو سكتنا في السؤال او اي حد سكت و جالك قياس
+
+350
+00:33:28,040 --> 00:33:35,660
+الزاوية عبارة عن اتنين by على تلاتة مباشرة هذا
+
+351
+00:33:35,660 --> 00:33:41,700
+القياس radian هذا القياس radian لا محالة لو راح
+
+352
+00:33:41,700 --> 00:33:48,930
+جالك .. لو راح جالك مية و سكتلا هانا بالبالك ما
+
+353
+00:33:48,930 --> 00:33:51,970
+تجيعش في الفخ بدك تسأله عن ال unit إيش هي ال unit
+
+354
+00:33:51,970 --> 00:33:56,250
+اللي عندك هان لإنها هتفرج معاك كتير إذا جالك والله
+
+355
+00:33:56,250 --> 00:34:01,890
+الزاوية هادى بال radian معناته بتجاه بتكلم على خمس
+
+356
+00:34:01,890 --> 00:34:06,480
+تلاف وسبعميةمصبوط؟ خمس تلاف و سبعمية و تلاتين كمان
+
+357
+00:34:06,480 --> 00:34:10,840
+انشئت هذه الزاوية يعني بيضغط اللي يلف و بعدها تجسم
+
+358
+00:34:10,840 --> 00:34:14,520
+لتلف مئة و ستين و تقدر تجيب بس البعدها لكن لو جالك
+
+359
+00:34:14,520 --> 00:34:19,440
+degree خلصنا هي زاوية منفرجة أقل من الـ180 اللي
+
+360
+00:34:19,440 --> 00:34:22,960
+موجودة عندنا فانت بدك تمتع به كويس حطلك الـπاي
+
+361
+00:34:22,960 --> 00:34:32,180
+مباشرة رديان حطلك دائرة degree
+
+362
+00:34:32,180 --> 00:34:37,860
+سكتلأ بدنا نتأكد إيش الوحدة القياسية اللي بتتكلم
+
+363
+00:34:37,860 --> 00:34:44,740
+عليها الـ bi و ما تش ماتبرها 180 اه الآن اذا مين
+
+364
+00:34:44,740 --> 00:34:49,760
+اللي بيسألني او مين اللي بيسأل متى اعتبر ال bi 180
+
+365
+00:34:49,760 --> 00:34:57,540
+و متى اعتبرها 3.14 لما انا بدى احول لما تيجي
+
+366
+00:34:57,540 --> 00:35:01,260
+الزاوية و نعتبرها 180 لما تيجي الحالة هيك 3.14 إذا
+
+367
+00:35:01,260 --> 00:35:07,030
+كان الزاوية جيبه جاته و كانت زاويةيعني بتأيدي 100%
+
+368
+00:35:07,030 --> 00:35:11,810
+لك هان 100% في حد عنده كلام تاني؟ الآن و إما بدك
+
+369
+00:35:11,810 --> 00:35:16,950
+تحسب إذا حسب حساب زيك طلعته 14% و أنت مغمض بس إذا
+
+370
+00:35:16,950 --> 00:35:22,290
+إجت بعد sign أو cosine أو 10 بنتكلم على 180 درجة
+
+371
+00:35:22,290 --> 00:35:27,290
+طبعا؟ راحة في كل حسبتي أنا قبل شوية من أين إجت
+
+372
+00:35:27,290 --> 00:35:32,530
+العلاقة؟ قلنا يا شباب ليش 360 درجة؟لأننا فعليا
+
+373
+00:35:32,530 --> 00:35:37,930
+الدائرة الوحدة هذه عملنا عليها جسمناها جسمنا
+
+374
+00:35:37,930 --> 00:35:38,970
+المحيط تبعتها
+
+375
+00:35:38,970 --> 00:35:57,910
+111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
+
+376
+00:36:00,520 --> 00:36:03,880
+تكافئ one by بس في ال calculation في العملية
+
+377
+00:36:03,880 --> 00:36:07,200
+الحسابية تلاتة واربعة تلاتة واربعة تلاتة واربعة
+
+378
+00:36:07,200 --> 00:36:08,040
+تلاتة واربعة تلاتة واربعة تلاتة واربعة تلاتة
+
+379
+00:36:08,040 --> 00:36:08,320
+واربعة تلاتة واربعة تلاتة واربعة تلاتة واربعة
+
+380
+00:36:08,320 --> 00:36:11,460
+تلاتة واربعة تلاتة واربعة تلاتة واربعة تلاتة
+
+381
+00:36:11,460 --> 00:36:13,380
+واربعة تلاتة واربعة تلاتة واربعة تلاتة واربعة
+
+382
+00:36:13,380 --> 00:36:14,900
+تلاتة واربعة تلاتة واربعة تلاتة واربعة تلاتة
+
+383
+00:36:14,900 --> 00:36:19,260
+واربعة تلاتة واربعة تلاتة واربعة تلاتة واربعة
+
+384
+00:36:19,260 --> 00:36:28,760
+تلاتة واربعة
+
+385
+00:36:28,760 --> 00:36:38,520
+تلاتة وتنين باي في R تنين باي في واحد لأن القصف
+
+386
+00:36:38,520 --> 00:36:44,160
+القطر واحدة واحدة، مصبور؟ وفرضنا محيط الدائرة هذا
+
+387
+00:36:44,160 --> 00:36:51,220
+وقطعنا لقطع متساوية مقدارها واحدة واحدة، تمام؟
+
+388
+00:36:51,220 --> 00:36:57,880
+هتطلع نعيا تلت مية وستين قطعة، تمام؟ كل قطعة تنين
+
+389
+00:36:57,880 --> 00:37:03,070
+باي، حرام عليك، المحيط كلهالمحيط كل اتنين باى
+
+390
+00:37:03,070 --> 00:37:08,710
+تمام؟ كل قطعة هي واحد على اتنين باى واحد على اتنين
+
+391
+00:37:08,710 --> 00:37:12,370
+باى اللي هي ال arc هيك سمّالها ال arc قدّيش حصر
+
+392
+00:37:12,370 --> 00:37:16,870
+زاوية حصر زاوية مقدارها سبعة وخمسين فاصلة point
+
+393
+00:37:16,870 --> 00:37:21,710
+تلاتة من خط من ال x-axis لما بدأ يرتح حصر زاوية
+
+394
+00:37:21,710 --> 00:37:27,670
+مقدارها يعني هيك لو انا تخيلتانه هذا واحد نصف
+
+395
+00:37:27,670 --> 00:37:31,410
+القطة كل واحد وال arc هذا كل واحد معناته ازاليها
+
+396
+00:37:31,410 --> 00:37:37,470
+دي سبعة وخمسين فاصلة كلاتة
+
+397
+00:37:37,470 --> 00:37:42,590
+الان
+
+398
+00:37:54,060 --> 00:37:57,960
+لما انا بتكلم على الـ trigonometric ratios او
+
+399
+00:37:57,960 --> 00:38:03,220
+الدوال او النسب المثلثية نسب المثلثية لما اتكلم
+
+400
+00:38:03,220 --> 00:38:09,660
+على نسب مثلثية ابغى بالنظر شو كان حجم المثلث تمام؟
+
+401
+00:38:09,660 --> 00:38:13,820
+ابغى بالنظر على أطوال أضلاع المثلث يبقى المثلث
+
+402
+00:38:13,820 --> 00:38:19,260
+مثلث و تتطبق عليه كل الصفات يعني لو انا طبعا اللوح
+
+403
+00:38:19,260 --> 00:38:24,210
+النهان انا مش فاكر انا كنت هحط الصور ولا لأاللوحان
+
+404
+00:38:24,210 --> 00:38:29,990
+مجسم لمربعات زى دفتر الرسم البياني تبع زمان اي
+
+405
+00:38:29,990 --> 00:38:37,370
+واحدة تنتين تلاتة اربعة خمسة هاي ستة او هاي واحدة
+
+406
+00:38:37,370 --> 00:38:43,130
+تنتين تلاتة اربعة خمسة ستة او هاي واحدة تنتين
+
+407
+00:38:43,130 --> 00:38:47,210
+تلاتة اربعة خمسة ستة او رسمت مثلث بالشكل هذا شباب
+
+408
+00:38:50,810 --> 00:38:53,370
+هو المفروض خط مستقيمه بس ماعيش مصطرة أنا زمان دي
+
+409
+00:38:53,370 --> 00:39:00,150
+كنا نجيب المدرس مصطرة anyway في الآخر هذه زاوية
+
+410
+00:39:00,150 --> 00:39:05,090
+قائمة مصبوط وهذه زاوية حادة وهذه زاوية حادة
+
+411
+00:39:05,090 --> 00:39:09,650
+الزاوية القائمة تسعين درجة مثلث متساوت ضلعين
+
+412
+00:39:09,650 --> 00:39:16,210
+معناته هذه خمسة واربعين وهذه خمسة واربعينتمام اللي
+
+413
+00:39:16,210 --> 00:39:20,610
+انا بقى أقوله ال sign و ال cosine هم عبارة عن نسب
+
+414
+00:39:20,610 --> 00:39:24,410
+ما بين الأضلاع اللي موجودة عندي الأضلاع التلاتة
+
+415
+00:39:24,410 --> 00:39:29,570
+تبع المثلث لو انا .. لو انا صغرت حجم المثلث خليت
+
+416
+00:39:29,570 --> 00:39:34,510
+المثلث هبقى من أربع وحدات هيك
+
+417
+00:39:34,510 --> 00:39:40,670
+ايش اتغير في المثلث اتغيرت الأطوار الأضلاع نعم بس
+
+418
+00:39:40,670 --> 00:39:46,420
+الزواياظلت 45 ما اتغيرتش ولا حاجة عشان هي كان في
+
+419
+00:39:46,420 --> 00:39:51,020
+أي مثلث .. في أي مثلث قائم الزاوية بغض النظر عن
+
+420
+00:39:51,020 --> 00:39:57,120
+حجمه النسبة ال ratios اللي هي علاقة الأطلاع مع
+
+421
+00:39:57,120 --> 00:40:05,260
+بعضها نسبة ثابتة ما بتتغير طيب الار ال ratios او
+
+422
+00:40:05,260 --> 00:40:08,660
+النسبة اللي احنا بنعرفها اللي هي ال sign و ال
+
+423
+00:40:08,660 --> 00:40:15,720
+cosine و ال tanالـ Cosecant والسيكنت والكوتم اللي
+
+424
+00:40:15,720 --> 00:40:25,480
+هي ال .. الآن الجهة الجب اللي هي الجتة والظهر هن
+
+425
+00:40:25,480 --> 00:40:34,220
+قطة وقه وظته هيك كانوا يسمونيهم بالعربي زمان تمام؟
+
+426
+00:40:34,220 --> 00:40:39,990
+الآنهدول مابتكلمش بال inverse .. هذا .. شباب .. شو
+
+427
+00:40:39,990 --> 00:40:42,670
+يعني نسبة؟ مبهمش .. قبل نرجع للبداية .. شو يعني
+
+428
+00:40:42,670 --> 00:40:53,870
+ratio؟ شو يعني نسبة؟ اه؟ شو يعني نسبة؟
+
+429
+00:40:53,870 --> 00:41:01,300
+بس؟ بس و مقامFraction بسط و مقام الان ال ratio
+
+430
+00:41:01,300 --> 00:41:04,740
+تتذكر ال ratio number ال rational number العدد
+
+431
+00:41:04,740 --> 00:41:10,540
+النسبية ال ratio أول مقطع فيها ratio نسبة و بجلد
+
+432
+00:41:10,540 --> 00:41:14,840
+عن العدد النسبي اللي انا بقدر اكتبه على صورة بسط و
+
+433
+00:41:14,840 --> 00:41:19,500
+مقام فال ratio في حساب المثلثات برضه ماهي نسبة بسط
+
+434
+00:41:19,500 --> 00:41:28,150
+و مقام الان ال signهي عبارة عن علاقة الضلع المقابل
+
+435
+00:41:28,150 --> 00:41:31,910
+على الوتر من الضلع المقابل حسب الزاوية اللي بتتكلم
+
+436
+00:41:31,910 --> 00:41:35,830
+عليها إذا أنا بتتكلم هاي الزاوية تبعتي بره عن
+
+437
+00:41:35,830 --> 00:41:40,990
+الوتر معروف هو المقابل للزاوية القائمة هاي الثيتا
+
+438
+00:41:40,990 --> 00:41:51,030
+معناته ال sign ثيتا يساوي المقابل أربعة
+
+439
+00:41:51,030 --> 00:41:53,810
+على الوتر أثبت؟
+
+440
+00:41:56,090 --> 00:42:00,470
+على ان هو اربع وحدات واحد اتنين تلاتة اربعة ال
+
+441
+00:42:00,470 --> 00:42:05,390
+water اللي جوه عشانك حققت C okay هاي C prime okay
+
+442
+00:42:05,390 --> 00:42:14,490
+الان O يساوي ستة على ال C بيب احنا كمان في نظرية
+
+443
+00:42:14,490 --> 00:42:20,810
+فيه ثغورس تمام اللي هو بده يحسب اول ال water اول
+
+444
+00:42:20,810 --> 00:42:28,720
+ال water تربيع يساويالدلع الأول تربيع زائر الدلع
+
+445
+00:42:28,720 --> 00:42:37,060
+التاني تربيع مصبوط تمام تعالى نشوف الدائرة كمان
+
+446
+00:42:37,060 --> 00:42:41,160
+مرة وشوف علاقتها بحساب المثلثات و الحسبة البسيطة
+
+447
+00:42:41,160 --> 00:42:46,380
+اللي احنا ممكن نشغل عليها انا قبل شوية اتكلمنا
+
+448
+00:42:46,380 --> 00:42:49,680
+دائرة الوحدة هي الأساس كانت في موضوع الزوايا
+
+449
+00:42:52,420 --> 00:42:56,440
+لما تكون الزاوية تبعتي او نقطة الصفر هنا نقطة
+
+450
+00:42:56,440 --> 00:43:01,060
+البداية على محيط الدائرة على ال X axis صفر زاوية
+
+451
+00:43:01,060 --> 00:43:09,040
+صفر و بدأت احرك او اتحرك على المحيط مع كل نقطة على
+
+452
+00:43:09,040 --> 00:43:14,520
+المحيط بتتشكل عندي زاوية جديدة مظبوط؟ مين بتتحكم
+
+453
+00:43:14,520 --> 00:43:20,760
+في الزاوية؟شغلتين شغلتين لاحظ ان عندي نصف القطر
+
+454
+00:43:20,760 --> 00:43:25,920
+ثابت انا اللي هو ال water نصف القطر ال water دائما
+
+455
+00:43:25,920 --> 00:43:35,980
+ثابت مظبوط جدش نقوله واحد واحد R
+
+456
+00:43:35,980 --> 00:43:43,720
+تساوي واحد الان طب مين اللي بتغيربتغير موقع النقطة
+
+457
+00:43:43,720 --> 00:43:47,720
+هي هذه وبما ان انا على موقع النقطة اتغير الارتفاع
+
+458
+00:43:47,720 --> 00:43:56,040
+تبع المثلث والقاعدة تبعته الوطر ما اتغير الوطر
+
+459
+00:43:56,040 --> 00:44:01,640
+ثابت بتغيرش اللي اتغير جاعد عندي ارتفاع المثلث
+
+460
+00:44:01,640 --> 00:44:09,450
+والقاعدة يعني في اي مثلث انا فيه عندي هيكفأي مثلث
+
+461
+00:44:09,450 --> 00:44:15,070
+هذه بتسميها ال base القاعدة مصبوط وهذه ال height
+
+462
+00:44:15,070 --> 00:44:19,310
+ارتفاع المثلث وال C او ال hypotenuse بنرمزلها
+
+463
+00:44:19,310 --> 00:44:26,790
+غالبا بال water تمام الان لاحظ
+
+464
+00:44:26,790 --> 00:44:31,750
+لو انا بدي احافظ على نفس ال water نفس الطول
+
+465
+00:44:32,830 --> 00:44:37,210
+مايتغيرش ايش الحل الوحيد اللي عندي ان كل وحدة
+
+466
+00:44:37,210 --> 00:44:43,150
+بنزلها من المحيط اعفن من الارتفاع ازيدها وين في ال
+
+467
+00:44:43,150 --> 00:44:47,430
+base يعني تخيل ان الزاوية هذه عليها حلقة عليها
+
+468
+00:44:47,430 --> 00:44:51,090
+عجلة او بكرة وهذا كل ما انا بزرق لتحت الفيساوي
+
+469
+00:44:51,090 --> 00:44:56,770
+بتتحرك بالاتجاه .. بحافظ على ان ال water الوزش نفس
+
+470
+00:44:56,770 --> 00:45:01,420
+القياس اللي موجود عندي هناهذا الكلام .. هذا الكلام
+
+471
+00:45:01,420 --> 00:45:06,660
+معناته انا كل ما بتغير الارتفاع او بين جثين ان
+
+472
+00:45:06,660 --> 00:45:11,600
+الزاوية هذه هي عبارة عن نسبة لتغير البلعين اللي
+
+473
+00:45:11,600 --> 00:45:18,160
+موجودين عندي هنا اللي هم ال height والbase لأن ال
+
+474
+00:45:18,160 --> 00:45:21,880
+radius او عفوا ال radius او ال water ثابت وما
+
+475
+00:45:21,880 --> 00:45:27,880
+بصيرش عليه تغير طيبتعالى تشوف الرسمة البسيطة هذه
+
+476
+00:45:27,880 --> 00:45:37,540
+الـ GIF الموجودة عندى هنا فى ال slide ايش
+
+477
+00:45:37,540 --> 00:45:44,740
+ال value اللى فوق هنا شباب طيب
+
+478
+00:45:44,740 --> 00:45:49,380
+خلّينى نتكلم ان هى ال cosine تمام الرسمة اللى
+
+479
+00:45:49,380 --> 00:45:52,600
+بالخط الأزرق اللى فوق رسمة ال cosine
+
+480
+00:45:56,360 --> 00:45:59,800
+ايش ال value اللي بتطلع هنا ربطني إيها ال chapter
+
+481
+00:45:59,800 --> 00:46:05,220
+الماضي تبع الجبر واش ال value اللي على ال x axis
+
+482
+00:46:05,220 --> 00:46:13,420
+هاي المجال والمدى المجال والمدى وين فيهم المجال
+
+483
+00:46:13,420 --> 00:46:22,860
+المجال قيمة الزاوية المجال قيمة الزاوية المدى اللي
+
+484
+00:46:22,860 --> 00:46:27,830
+هي من صفرلواحد اللي هي القيم اللي بتتغير فيهم ده
+
+485
+00:46:27,830 --> 00:46:32,470
+لو بتعود ترجع مع كل دورة موجودة عندها الان هاي
+
+486
+00:46:32,470 --> 00:46:37,070
+الزاوية ايه كل من الان لاحظ هاي قياس الزاوية عندها
+
+487
+00:46:37,070 --> 00:46:43,190
+ايه
+
+488
+00:46:43,190 --> 00:46:51,130
+anyway في الآخر لاني بتعامل مع دائرة تمام لما برجع
+
+489
+00:46:51,130 --> 00:46:54,790
+لنفس النقطةبرجع دورة تانية من جديد و برجع بعيد
+
+490
+00:46:54,790 --> 00:46:58,510
+الكررة في الرسمة عشان هيك هتبقى رسمة الـSin و
+
+491
+00:46:58,510 --> 00:47:02,270
+الـCos إلى مالة نهاية بنفس الشكل اللي موجودة
+
+492
+00:47:02,270 --> 00:47:05,250
+عليها، عبارة عن موجة متكررة اللي لها نفس ال
+
+493
+00:47:05,250 --> 00:47:07,430
+bandwidth، أعفر، اللي لها نفس ال width و نفس
+
+494
+00:47:07,430 --> 00:47:10,050
+الامتداد و نفس ال height اللي موجود عندها
+
+495
+00:47:34,510 --> 00:47:40,610
+كم ربع عندى هان؟ اربع اربع واحد
+
+496
+00:47:40,610 --> 00:47:49,870
+اتنين ال first ال second ال third و ال fourth تمام
+
+497
+00:47:49,870 --> 00:47:57,230
+الان لما بتكون الزاوية تبعتي فى
+
+498
+00:47:57,230 --> 00:47:57,990
+الربع الاول
+
+499
+00:48:03,020 --> 00:48:10,540
+هذه الزاوية هي على سبيل المثال الارتفاع
+
+500
+00:48:10,540 --> 00:48:18,300
+او ال height تبع المثلث ال height ال height تبع
+
+501
+00:48:18,300 --> 00:48:28,040
+المثلث بيزيد plus وال base بينجز مصبوط
+
+502
+00:48:33,690 --> 00:48:37,150
+هي لو انا جيت ال height وصل ال maximum عن تسعين
+
+503
+00:48:37,150 --> 00:48:42,150
+بعدكش بيساوي ايه؟ بيبدأ ينزل لما يطابق مع الصفر
+
+504
+00:48:42,150 --> 00:48:44,950
+اللي هي هنا عند ال مية و تمانين مظبوط اللي هي عكس
+
+505
+00:48:44,950 --> 00:48:50,350
+الصفر و بيبدأ ال height يرتفع مرة تانية في الرُبع
+
+506
+00:48:50,350 --> 00:48:54,610
+التالت لما بيصل مائة و سبعين نهاية الرُبع التالت
+
+507
+00:48:55,400 --> 00:48:58,260
+بكون وصل ال maximum في ال height تبعت و بعد هيك
+
+508
+00:48:58,260 --> 00:49:03,260
+ببدأ يصغر لان ما يصل الصحر .. بطابق الدائرة .. لان
+
+509
+00:49:03,260 --> 00:49:07,040
+هذا الكلام .. عشان هيك انا بقولك الموجة تبعت ال
+
+510
+00:49:07,040 --> 00:49:11,620
+sign و ال cosine هتظل ثابتة إلى ما لا نهاية مش
+
+511
+00:49:11,620 --> 00:49:15,380
+هتتغير بنفس ال size و نفس الموجة اللي موجودة عندي
+
+512
+00:49:17,120 --> 00:49:21,960
+تعال اروح نشوف الحسبة تبعت ال ratio او الحساب
+
+513
+00:49:21,960 --> 00:49:26,120
+المثلثات اللي موجود عندنا حاولت اثبت الصورة
+
+514
+00:49:26,120 --> 00:49:31,200
+السابقة هاي المثلث واخدت المثلثان على جانب في عندي
+
+515
+00:49:31,200 --> 00:49:36,400
+الآن اذا كانت الزاوية ثيتا هي المستهدفة هان
+
+516
+00:49:36,400 --> 00:49:42,760
+فمعناته انا في عندي هان ال opposite المقابل
+
+517
+00:49:42,760 --> 00:49:43,920
+ال adjacent
+
+518
+00:49:47,180 --> 00:49:54,700
+المجاور وهنا في عنق الـ Hypotenuse الوتر الآن sin
+
+519
+00:49:54,700 --> 00:50:00,980
+θ هي ال ratio هي تساوي ال hypotenuse ال opposite
+
+520
+00:50:00,980 --> 00:50:07,180
+عفوا على ال hypotenuse المقابل على الوتر ال cosine
+
+521
+00:50:07,180 --> 00:50:16,040
+المجاور على الوتر وال 10 المقابل على المجاور تمام
+
+522
+00:50:17,030 --> 00:50:23,550
+يعني لو انا افترضت هيك هد
+
+523
+00:50:23,550 --> 00:50:33,470
+ارتفاع اتنين وهد تلاتة تمام هد اتنين ال opposite
+
+524
+00:50:33,470 --> 00:50:38,710
+ارتفاع اتنين وال base قولوا تلاتة بدي اجيب ال
+
+525
+00:50:38,710 --> 00:50:43,170
+water ماحنا عمالة قولنا ال water تساوي الجدر
+
+526
+00:50:43,170 --> 00:50:48,240
+التربيعي اتنين تربيعزائد تلاتة تردية حسب
+
+527
+00:50:48,240 --> 00:50:54,040
+Pythagoras مصبوط اربعة وتسعة تلات ناشت تحت الجذر
+
+528
+00:50:54,040 --> 00:51:02,520
+يعني جذر التلات ناشت الان ساين تيتا ساين
+
+529
+00:51:02,520 --> 00:51:10,900
+تيتا يساوي اتنين على جذر التلات ناشت طيب بدي اعرف
+
+530
+00:51:10,900 --> 00:51:15,950
+ازاي و اجد ايشماذا أفعل؟ بدي أستخدم shift على الـ
+
+531
+00:51:15,950 --> 00:51:19,870
+calculator بس ماعنديش أنا shift بدي أروح أستخدم ال
+
+532
+00:51:19,870 --> 00:51:26,590
+sign inverse sign inverse ل 2 على جذر التلتاشر
+
+533
+00:51:26,590 --> 00:51:31,270
+تديني مين يا شباب؟ تديني θتا، طبعا؟ ال sign
+
+534
+00:51:31,270 --> 00:51:35,110
+inverse خدناها هون في الشبتر الماضي، بالتحديث في
+
+535
+00:51:35,110 --> 00:51:39,090
+المحاضرات الماضية، المحاضرة الماضية، طبعا؟ طيب،
+
+536
+00:51:39,090 --> 00:51:44,790
+الأهم ال cosine inverse على نفس المثلثتلاتة لأنها
+
+537
+00:51:44,790 --> 00:51:48,750
+هتكون المجاور هذه الزاوية تلاتة على الوطار
+
+538
+00:51:48,750 --> 00:51:55,290
+الهجافير تلقى عشر تاني الـ theta اتنين على تلاتة
+
+539
+00:51:55,290 --> 00:52:00,610
+اللي هو المقابل على المجاور ال function التانيات
+
+540
+00:52:00,610 --> 00:52:03,850
+اللي كانوا عندنا ال secant و ال cosecant اللي احنا
+
+541
+00:52:03,850 --> 00:52:09,370
+سمناهم القهو القطة والظطة هم عبارة عن مقلوب
+
+542
+00:52:11,390 --> 00:52:19,610
+الجيب والجتا والضرب عشان تتذكرهم في مصطلح من تلت
+
+543
+00:52:19,610 --> 00:52:27,330
+حروف سهل جدا صو صو ح ال sign opposite على ال
+
+544
+00:52:27,330 --> 00:52:34,570
+hypotenuse ال sign opposite على ال hypotenuse كزين
+
+545
+00:52:34,570 --> 00:52:39,050
+ك كزين
+
+546
+00:52:40,040 --> 00:52:49,800
+adjacent على hypotenuse towa sign كتوة towa تان
+
+547
+00:52:49,800 --> 00:52:54,100
+opposite على adjacent اذا انت مش .. يعني ماكنتش ..
+
+548
+00:52:54,100 --> 00:52:57,620
+ماقدر تتذكر الحروف .. الكلمات كتانة حاول اعتمد على
+
+549
+00:52:57,620 --> 00:53:06,600
+الرموز البسيطة لأن reciprocal مقلوب
+
+550
+00:53:09,640 --> 00:53:14,340
+مقلوم النسبة اللي موجودة عندي هنا إذا كانت ال sign
+
+551
+00:53:14,340 --> 00:53:21,280
+تساوي ال opposite على ال hypotenuse تمام ال
+
+552
+00:53:21,280 --> 00:53:23,640
+reciprocal .. ال reciprocal .. ال reciprocal .. ال
+
+553
+00:53:23,640 --> 00:53:32,240
+reciprocal مقلوم ال sign ال secant بتتساوي
+
+554
+00:53:32,240 --> 00:53:37,360
+واحد على sign طيب واحد على .. opposite على ال
+
+555
+00:53:37,360 --> 00:53:38,000
+hypotenuse
+
+556
+00:53:41,940 --> 00:53:49,120
+الـ hypotenuse على الـ opposite و
+
+557
+00:53:49,120 --> 00:53:56,660
+نفس الكلام cosecant و secant و coten طبعا يا شباب
+
+558
+00:53:56,660 --> 00:54:05,800
+تعالى نجي هاي مثلث نشتغل
+
+559
+00:54:05,800 --> 00:54:11,660
+عليها بقول لي أنا في عندى مثلث
+
+560
+00:54:13,530 --> 00:54:17,530
+ومطلوب منك تجيب ال unknown values في المثلث هذا
+
+561
+00:54:17,530 --> 00:54:26,190
+تجيب ال unknown القيم الغير معروفة في المثلث احنا
+
+562
+00:54:26,190 --> 00:54:30,130
+اتفقنا انه من ايش القيم اولا ايش القيم المجهولة
+
+563
+00:54:30,130 --> 00:54:35,050
+عندي انا عندي تلت مجاهيل عندي الآن ال height وعندي
+
+564
+00:54:35,050 --> 00:54:38,670
+ال base وعندي ايه ساميها هادي ال alpha او ال theta
+
+565
+00:54:38,670 --> 00:54:43,040
+ساميها زي ما بدكتمام؟ أسهل حاجة بالنسبة لك بالحسبة
+
+566
+00:54:43,040 --> 00:54:46,760
+هى اللي هتكون الزاوية
+
+567
+00:54:46,760 --> 00:54:50,580
+الآن قداش قياس الزاوية مجموعة الزاوية الداخلية
+
+568
+00:54:50,580 --> 00:54:55,820
+للمثلث قلناه مية و تمانين أنا عندي معناته Alpha
+
+569
+00:54:55,820 --> 00:55:04,560
+بدها تساوي مية و تمانين ناقص تسعين زائد خمسة و
+
+570
+00:55:04,560 --> 00:55:05,020
+تلاتين
+
+571
+00:55:12,210 --> 00:55:16,730
+الشطارة كتير عندك هنا مية خمسة و عشرين تمام من مية
+
+572
+00:55:16,730 --> 00:55:21,170
+و تمانين بقى الخمسة و خمسين يعني مية و تمانين نقص
+
+573
+00:55:21,170 --> 00:55:29,070
+مية خمسة و عشرين خمسة و خمسين درجة هو
+
+574
+00:55:29,070 --> 00:55:34,290
+بتكلم على درجات و هذه القائمة قولناتسعين درجة لو
+
+575
+00:55:34,290 --> 00:55:39,210
+سألك جالك هاتلي إياها بال radian مباشرة بتحسبها
+
+576
+00:55:39,210 --> 00:55:45,750
+هيك بتوصلها خمسة و خمسين و بتدور في الآخر باي على
+
+577
+00:55:45,750 --> 00:55:50,030
+مية و تمانين بتكون وصلت .. حولتها لل radian باي
+
+578
+00:55:50,030 --> 00:55:57,770
+تلاتة فاصلة و أربعة عشر تمام شية
+
+579
+00:56:00,470 --> 00:56:03,990
+كيف أجال من واحد؟ أجال من واحد Radian طيب أجال من
+
+580
+00:56:03,990 --> 00:56:07,790
+واحد Radian و ما المشكلة؟ أجال من واحد Radian
+
+581
+00:56:07,790 --> 00:56:12,050
+مافيش مشكلة بس ماتقوليش أجال من واحد و تسكت زي ما
+
+582
+00:56:12,050 --> 00:56:16,030
+انت سويت عشان ذلك الشباب ممكن انه انصدمت مصبوط؟
+
+583
+00:56:16,030 --> 00:56:19,450
+أجال من واحد Radian لأن واحد Radian سبعة و خمسين
+
+584
+00:56:19,450 --> 00:56:21,930
+فاللي قبلها كانت خمسة و خمسين فطبيعي أجال من واحد
+
+585
+00:56:21,930 --> 00:56:25,570
+Radian طيب المقلوب التاني يا شباب ال height
+
+586
+00:56:28,680 --> 00:56:32,400
+و ال base او بين جثين هم ال opposite للخمسة و
+
+587
+00:56:32,400 --> 00:56:37,000
+تلاتين و ال adjacent ولا شو رايك انا ازاي المعلومة
+
+588
+00:56:37,000 --> 00:56:44,580
+عندى ازاي الان معلومة طيب
+
+589
+00:56:44,580 --> 00:56:53,460
+ساهم الخمسة و تلاتين ايش تساوي ال opposite على ال
+
+590
+00:56:53,460 --> 00:56:59,730
+hypotenuse على أربعة فاصلة تسعةOpposite عشان ماحدش
+
+591
+00:56:59,730 --> 00:57:04,670
+يقولي صفر هاي ال Opposite قيمة السنة خمسة وتلاتين
+
+592
+00:57:04,670 --> 00:57:10,450
+كده؟ إيش يساوي؟ بدا ال calculator سبعة
+
+593
+00:57:10,450 --> 00:57:13,910
+خمسين من مية فاصلة أربعة أو ساعة خمس مية أربعة
+
+594
+00:57:13,910 --> 00:57:17,750
+وسبعين من ألف الآن صار في end ال opposite على
+
+595
+00:57:17,750 --> 00:57:22,690
+أربعة فاصلة تسعة يساوي خمس مية أربعة وسبعين من ألف
+
+596
+00:57:22,690 --> 00:57:26,150
+إيش أساوي؟ أنا بدي قيمة ال opposite أعمل درب
+
+597
+00:57:26,150 --> 00:57:32,350
+تبادليمعناته قيمته الـ Opposite اتنين فاصلة تمانية
+
+598
+00:57:32,350 --> 00:57:41,590
+واحد طيب بدي اجيب ال adjacent المجاور عند الكزايل
+
+599
+00:57:41,590 --> 00:57:44,290
+خمسة و تلاتين يساوي ال adjacent على اربعة فاصلة
+
+600
+00:57:44,290 --> 00:57:52,090
+تسعة تساوي فاصلة تمانية وتسعة عشر من الف ضرب
+
+601
+00:57:52,090 --> 00:57:55,950
+تبادلي معناته ال adjacent يساوي اربعة point صفر
+
+602
+00:57:55,950 --> 00:57:57,070
+واحد
+
+603
+00:57:59,000 --> 00:58:00,860
+حد اللي هتقول يا كنت شوف طيب هذه والله بدون
+
+604
+00:58:00,860 --> 00:58:04,980
+calculator في حياتنا ما بنجيبها، مصبوط؟ أنا ممكن
+
+605
+00:58:04,980 --> 00:58:09,400
+أجيبلك أرقام ما تحتاجي عشان أنك تستخدم calculator
+
+606
+00:58:09,400 --> 00:58:15,440
+هو علمك كمان شوية طريقة سهلة للزوايا الرئيسية،
+
+607
+00:58:15,440 --> 00:58:19,620
+تمام؟ اللي هم صفر تلتين، خمسة واربعين، ستين،
+
+608
+00:58:19,620 --> 00:58:27,020
+تسعين، تمام؟ طيب، في حد عنده أي سؤال يا شباب؟ okay
+
+609
+00:58:27,020 --> 00:58:27,880
+الله يعطيك الله عافية
+
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/CE_k3SY5pSg_raw.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/CE_k3SY5pSg_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..dc9f19d7217269e2fd7b1813e4d4c77409e63246
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/CE_k3SY5pSg_raw.srt
@@ -0,0 +1,3004 @@
+1
+00:00:20,910 --> 00:00:22,910
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:22,910 --> 00:00:26,290
+اليوم ان شاء الله هنكمل في ال chapter الأول في
+
+3
+00:00:26,290 --> 00:00:30,490
+المادة وغالبا هننهي اليوم ان شاء الله لكن قبل ما
+
+4
+00:00:30,490 --> 00:00:35,950
+نروح لمواضيع الجديدة بنحاول مع بعض نتذكر واحدة من
+
+5
+00:00:35,950 --> 00:00:40,210
+أهم الأمثلة اللي شوفناها المحاضرة الماضية وهي
+
+6
+00:00:40,210 --> 00:00:45,130
+التحويل ما بين الأنظمة لو على سبيل المثال الداني
+
+7
+00:00:45,130 --> 00:00:45,930
+الرقم التالي
+
+8
+00:00:56,660 --> 00:01:01,240
+و قال الرقم هذا بال اكتل و مطلوب منه اجيب قيمته
+
+9
+00:01:01,240 --> 00:01:05,180
+بال hexadecimal و مطلوب مني اجيب قيمته بال
+
+10
+00:01:05,180 --> 00:01:11,420
+hexadecimal قولنا ان اهم شغلة في الموضوع هذا ان
+
+11
+00:01:11,420 --> 00:01:15,300
+انت تعرف النظام اللي قالع منه يعطيك اكتل و اللي
+
+12
+00:01:15,300 --> 00:01:20,260
+رايح عليه اكتل يعني كل digit بالاكتل تلاتة digit
+
+13
+00:01:20,260 --> 00:01:25,180
+بال binary فالخطوة رقم واحد بتتحول للرقم اللي عندك
+
+14
+00:01:26,420 --> 00:01:31,940
+الى binary و بعدين بتحولوا ل octal الان الواحد و
+
+15
+00:01:31,940 --> 00:01:38,960
+دايما لازم تتذكر واحد نين اربعة تمانية اول تلاتة
+
+16
+00:01:38,960 --> 00:01:43,020
+هدول للثماني لل octal و بضيف لهم التمانية لما يصير
+
+17
+00:01:43,020 --> 00:01:48,900
+اتكلم على ال hexadecimal اصبع هوب طيب واحد واحد
+
+18
+00:01:48,900 --> 00:01:58,480
+صفر صفر اربعة صفر صفر واحد pointالان تلاتة واحد و
+
+19
+00:01:58,480 --> 00:02:08,180
+اتنين واحد واحد صفر خمسة واحد صفر واحد ستة صفر
+
+20
+00:02:08,180 --> 00:02:17,680
+واحد واحد اتنين صفر واحد صفر سبعة واحد واحد واحد
+
+21
+00:02:17,680 --> 00:02:23,280
+انت الان حلت نفس السؤالحلت نص السؤال اعتبارك ليش
+
+22
+00:02:23,280 --> 00:02:27,200
+لان التحوية تبعتك هذه صحيحة 100% اذا اشتغلت بنفس
+
+23
+00:02:27,200 --> 00:02:30,740
+المنطق و نفس الاسلوب اللي احنا بتتكلم فيه الخبرة
+
+24
+00:02:30,740 --> 00:02:33,520
+التالية انت الآن بدك تروح على ال او على ال
+
+25
+00:02:33,520 --> 00:02:38,060
+hexadecimalكل ديجيت بالـ hexadecimal أربعة ديجيت
+
+26
+00:02:38,060 --> 00:02:41,800
+بالـ binary كل ديجيت بالـ hexadecimal أربعة ديجيت
+
+27
+00:02:41,800 --> 00:02:45,320
+بالـ binary فبتبدأ التجسيم من وين؟ من عند الفاصلة
+
+28
+00:02:45,320 --> 00:02:48,460
+العشرية عشان تقوله عشان لما يزيد عندك أما تحتاج
+
+29
+00:02:48,460 --> 00:02:52,180
+خنايات أما بتضيفها على أقصى اليمين بعد الفاصلة أو
+
+30
+00:02:52,180 --> 00:03:00,440
+على أقصى اليسار هاي أربعة هاي
+
+31
+00:03:00,440 --> 00:03:03,300
+صفرين هاي كمان أربعة
+
+32
+00:03:09,150 --> 00:03:17,050
+و هال صفر تنساش تجسمتنا دائما من عند الفاصلة بتروح
+
+33
+00:03:17,050 --> 00:03:19,690
+على اليسار و بتروح على اليمين عشان تحطوا الأصفار
+
+34
+00:03:19,690 --> 00:03:23,550
+بدون أن تأثر على قيمة العدد اللي موجودة عندنا بعد
+
+35
+00:03:23,550 --> 00:03:26,790
+هيك تبدأ الطريقة التانية اللي هي التحويل جدش قيمة
+
+36
+00:03:26,790 --> 00:03:32,550
+الرقم هذا اربع تمانية من ورا بالكلام انا بجيبه خد
+
+37
+00:03:32,550 --> 00:03:36,110
+هذا الرقم و اسقطه هان و اجمع العناصر اللي قيمتها
+
+38
+00:03:36,110 --> 00:03:42,370
+واحداو احداش الاحداش بال hexadecimal مالوش ويبقى
+
+39
+00:03:42,370 --> 00:03:52,550
+بالستبدلها بال بي البعده عشرة ا البعده خمسة سبعة
+
+40
+00:03:52,550 --> 00:03:55,670
+وهذا الرقم بالhexadecimal
+
+41
+00:04:00,670 --> 00:04:03,710
+واضحة الأمور ان شاء الله يا شباب تمام؟ و هذا كان
+
+42
+00:04:03,710 --> 00:04:08,170
+اخر شغل اختمنا فيها المحاضرة الماضية و بدنا نمتقل
+
+43
+00:04:08,170 --> 00:04:11,630
+الان او بعدين نمشيها كمان شوية و تكلمنا على
+
+44
+00:04:11,630 --> 00:04:17,590
+الاعداد الطبيعية و من ثم الاعداد الاولية ال prime
+
+45
+00:04:17,590 --> 00:04:23,180
+number قلنا الاعداد الطبيعيةبتبدأ من واحد و اذا
+
+46
+00:04:23,180 --> 00:04:26,100
+اغسلنا لها الصفر اما بنستخدم any star او any zero
+
+47
+00:04:26,100 --> 00:04:29,500
+اللي قولنا طبعا العدد السلبي مش موجودة و غالبا
+
+48
+00:04:29,500 --> 00:04:33,360
+احنا مستخدمه من اجل الترقيم من اهم اشتقاء من
+
+49
+00:04:33,360 --> 00:04:37,140
+العداد الطبيعية عند الاعداد الاولية العدد الاولي
+
+50
+00:04:37,140 --> 00:04:41,880
+هو عبارة عن عدد طبيعي لا يقبل القسم الا على نفسه
+
+51
+00:04:41,880 --> 00:04:46,320
+تمام؟ و على واحد كل الأرقام قولنا سابقا بتقبل
+
+52
+00:04:46,320 --> 00:04:51,570
+الجسم على واحد تمام؟ و بعد هيكقلنا ان في عندنا
+
+53
+00:04:51,570 --> 00:04:57,870
+نظرية بتقول ان اي عدد مركب .. اي عدد مركب يمكن
+
+54
+00:04:57,870 --> 00:05:03,970
+كتابته على صورة برب مجموعة من الـprimes اتنين او
+
+55
+00:05:03,970 --> 00:05:07,190
+اكتر طبعا واخدنا مجموعة اللي هي امثلة ستة و عشرين
+
+56
+00:05:07,190 --> 00:05:12,450
+عبارة عن اتنين prime في تلتاش prime لان سبعة و
+
+57
+00:05:12,450 --> 00:05:15,130
+عشرين تلاتة في تلاتة في تلاتة كلهم مجموعة من
+
+58
+00:05:15,130 --> 00:05:17,750
+الprimes طيب
+
+59
+00:05:19,710 --> 00:05:24,510
+الان لو انا .. اجى فى لحظة من اللحظات قاللي هل
+
+60
+00:05:24,510 --> 00:05:28,750
+العدد اللى قدامك هذا prime ولا لأ كيف بدي افحصه؟
+
+61
+00:05:28,750 --> 00:05:35,030
+قولنا النظرية بتقول كل بساطة انه اذا كان العدد هذا
+
+62
+00:05:35,030 --> 00:05:38,670
+مركب في اندقاعها بتقول لو كان العدد M مركب
+
+63
+00:05:38,670 --> 00:05:45,530
+فهتلاقيله prime divisor اقل من جذرهتمام مرة تانية
+
+64
+00:05:45,530 --> 00:05:51,470
+كل عدد مركب هتلاقيه لو divisor او قاسم تمام بيكون
+
+65
+00:05:51,470 --> 00:05:55,090
+اقل من .. prime اقل من اتنين في الجذر واخدنا
+
+66
+00:05:55,090 --> 00:05:59,090
+مجموعة من الأمثلة ومنها على سبيل المثال لو احنا
+
+67
+00:05:59,090 --> 00:06:07,390
+اجينا قولنا سبعة و خمسين هل
+
+68
+00:06:07,390 --> 00:06:13,960
+هو عدد أولى؟هل هو عدد أولى؟ ماعرفش .. ماقدرش أحكم
+
+69
+00:06:13,960 --> 00:06:21,640
+.. بدي أفحص .. بدي أحق تحت الجدر .. سبعة و خمسين
+
+70
+00:06:21,640 --> 00:06:25,560
+.. الأن .. طب أنا فعليا ماعيش calculator و مش عارف
+
+71
+00:06:25,560 --> 00:06:28,920
+كنت الجدر هذا الحقيقية .. قربه لأقرب جدر .. في
+
+72
+00:06:28,920 --> 00:06:35,400
+عندك .. إذا أنت قولت سبعةفبتكلم على تسعة و أربعين
+
+73
+00:06:35,400 --> 00:06:39,920
+K ماشي الحال وإذا قلت كمان تمانية عشان الأربعة و
+
+74
+00:06:39,920 --> 00:06:43,920
+ستين مش فارق كتير لمن أقرب هذا للأربعة و ستين ولا
+
+75
+00:06:43,920 --> 00:06:46,540
+للتسعة و أربعين؟ للأربعة و ستين لما بيقول هذا
+
+76
+00:06:46,540 --> 00:06:51,460
+قريبا تمانية تمام؟ مش هتفرج معاك كتير الآن إيش
+
+77
+00:06:51,460 --> 00:06:56,120
+بنقول؟ بدك تدور على ال Primes اللي أقل من نمتي
+
+78
+00:06:56,120 --> 00:07:01,680
+الجدر من ال Primes اللي عندي هان؟ تلاتة، خمسة،
+
+79
+00:07:01,680 --> 00:07:07,740
+سبعةالان دورك تفحص هل الرقم هذا سبعة خمسين بيجبل
+
+80
+00:07:07,740 --> 00:07:10,720
+الجسم على أي من ال divisor هدول من ال primes هدول
+
+81
+00:07:10,720 --> 00:07:16,840
+إذا جبل الجسم بيكون بيجبل otherwise لأ بيجبل الجسم
+
+82
+00:07:16,840 --> 00:07:21,940
+على تمام لأ بيجبل الجسم على تلاتة قولنا نجمع احنا
+
+83
+00:07:21,940 --> 00:07:27,660
+عند التلاتة خمسة وسبعة معاشر تجبل الجسم على تلاتة
+
+84
+00:07:27,660 --> 00:07:30,260
+معناته بيجبل الجسم على تلاتة معناته هذا is
+
+85
+00:07:30,260 --> 00:07:30,860
+composite
+
+86
+00:07:33,510 --> 00:07:39,970
+غير أولى او تقدر is not prime ماشي
+
+87
+00:07:39,970 --> 00:07:45,150
+الحال نعم ماشي الحال نعم ماشي الحال نعم ماشي الحال
+
+88
+00:07:45,150 --> 00:07:46,830
+نعم ماشي الحال نعم ماشي الحال نعم ماشي الحال نعم
+
+89
+00:07:46,830 --> 00:07:49,650
+ماشي الحال نعم ماشي الحال نعم ماشي الحال نعم ماشي
+
+90
+00:07:49,650 --> 00:07:49,790
+الحال نعم ماشي الحال نعم ماشي الحال نعم ماشي الحال
+
+91
+00:07:49,790 --> 00:07:49,790
+نعم ماشي الحال نعم ماشي الحال نعم ماشي الحال نعم
+
+92
+00:07:49,790 --> 00:07:50,290
+ماشي الحال نعم ماشي الحال نعم ماشي الحال نعم ماشي
+
+93
+00:07:50,290 --> 00:07:50,310
+الحال نعم ماشي الحال نعم ماشي الحال نعم ماشي الحال
+
+94
+00:07:50,310 --> 00:07:50,450
+نعم ماشي الحال نعم ماشي الحال نعم ماشي الحال نعم
+
+95
+00:07:50,450 --> 00:08:00,350
+ماشي الحال نعم ماشي الحال نعم ماشي الحال نعم معدد
+
+96
+00:08:00,350 --> 00:08:04,010
+أول السبعة وبالتالي الـ12 لازم تحسبها لأنه ممكن هو
+
+97
+00:08:04,010 --> 00:08:07,950
+يكون آخر أو أول device اللي بتجبال الجسم عليه وما
+
+98
+00:08:07,950 --> 00:08:11,970
+تنساش انت خدت قيمة تقريبية للجذر تماما ما خدتشه
+
+99
+00:08:11,970 --> 00:08:15,010
+قيمة حقيقية وبالتالي فعليا السبعة هي أقل من قيمة
+
+100
+00:08:15,010 --> 00:08:19,490
+الجذر اللي موجود أنها وده جينا الراجعة مع بعض
+
+101
+00:08:19,490 --> 00:08:25,160
+مجموعةالخصائص اللي تابعة بالقسمة للأعداد من صوت من
+
+102
+00:08:25,160 --> 00:08:28,480
+واق من اتنين لتسعة بقولنا كل عدد بيجب القسمة على
+
+103
+00:08:28,480 --> 00:08:33,340
+اتنين لازم تكون خانة الأحد تبعته عبارة عن عدد زوجي
+
+104
+00:08:33,340 --> 00:08:38,380
+عشان نقول العدد بيجب القسمة على تلاتة مجموعة digit
+
+105
+00:08:38,380 --> 00:08:43,200
+خمسة زائد سبعة مجموعة digit إذا بيجب الجسم على
+
+106
+00:08:43,200 --> 00:08:48,040
+تلاتة فبيكون بيجب الجسم على تلاتةفي الحالة الأربعة
+
+107
+00:08:48,040 --> 00:08:51,980
+بناخد و آخر two digits تمام؟ اللي هي خانة الأحد
+
+108
+00:08:51,980 --> 00:08:57,380
+والعشرات مع بعض بشكل أبسط بيقبل الجسم على خمسة لو
+
+109
+00:08:57,380 --> 00:09:02,520
+كانت خانة الأحد صفر أو خمسة بيقبل الجسم على ستة لو
+
+110
+00:09:02,520 --> 00:09:08,260
+قبل الجسم على اتنين و قبل الجسم على تلاتة بيقبل
+
+111
+00:09:08,260 --> 00:09:10,860
+الجسم على السابعة السابعة بدها شغل يا شباب
+
+112
+00:09:15,320 --> 00:09:26,300
+لو أنا أجاني على سبيل المثال أجلي في عندي مية
+
+113
+00:09:26,300 --> 00:09:37,020
+وأربعة وخمسين بيقبل جسمي على سبعة ولا لأ نضرب ميمي
+
+114
+00:09:37,020 --> 00:09:42,400
+في بعض لأالطريقة السابعة شوية هي طويلة شوية لكنها
+
+115
+00:09:42,400 --> 00:09:46,000
+سهلة خطوة رقم واحد عشان تفحص الرقم يجب الجسم على
+
+116
+00:09:46,000 --> 00:09:49,700
+سبعة او لا بغض النظر كام خنتين تلاتة عشرة مش هتفرج
+
+117
+00:09:49,700 --> 00:09:54,400
+معاها كتير خطوة رقم واحد روح خدلي او قص خانة الأحد
+
+118
+00:09:54,400 --> 00:09:58,100
+يعني افصل الأحد عن الرقم ايه صار؟ صار في عندي
+
+119
+00:09:58,100 --> 00:10:06,420
+رقمين صار عندي خمستعش وأربعة بتقول خمستعش لاقص
+
+120
+00:10:06,420 --> 00:10:16,460
+اتنين في أربعةيبقى شو ساوي؟ سبعة السبعة هذه بتقبل
+
+121
+00:10:16,460 --> 00:10:20,000
+الجسم على سبعة؟ اه معناته الرقم مية اربعة و خمسين
+
+122
+00:10:20,000 --> 00:10:27,020
+بيقبل الجسم على سبعة ناخد رقم تاني تلاتة
+
+123
+00:10:27,020 --> 00:10:35,160
+خمسة اتنين اربع .. واحد اربع بيقبل الجسم على سبعة
+
+124
+00:10:35,160 --> 00:10:38,480
+للواحدة الأولى انت بتقول بدون calculator انا
+
+125
+00:10:38,480 --> 00:10:45,380
+اربعة؟ ماعرفشمباشرة خمسة او تعفوا ان تلاتة خمسة
+
+126
+00:10:45,380 --> 00:10:49,900
+اتنين واحد ناقص اتنين في اربعة واحد وعشرين ناقص
+
+127
+00:10:49,900 --> 00:10:54,660
+تمانة جديش الشباب تلتاش
+
+128
+00:10:54,660 --> 00:11:00,540
+تلاتة خمسة واحد تلاتة بيقبل قسم على سبعة مش بعرفني
+
+129
+00:11:00,540 --> 00:11:06,680
+بتاخد هي ده و بتعيب عليه نفس الشغل تلاتة خمسة واحد
+
+130
+00:11:06,680 --> 00:11:15,300
+ناقص اتنين في تلاتةستة واحد وخمسين ناقص ستة خمسة
+
+131
+00:11:15,300 --> 00:11:21,680
+واربعين تلاتة اربعة خمسة بيقبل قسمة بعشر كمان مرة
+
+132
+00:11:21,680 --> 00:11:31,020
+ناقص اتنين في خمسة اربعة وعشرين اربعة وعشرين تقبل
+
+133
+00:11:31,020 --> 00:11:35,540
+قسمة على سبعة لا تقبل قسمة على سبعة معناته العدد
+
+134
+00:11:35,540 --> 00:11:41,160
+هذا لا يقبل قسمة على سبعةطريقة سهلة جدا و مش بحاجة
+
+135
+00:11:41,160 --> 00:11:45,180
+انك تستخدم calculator عشان تشوف القيمة الموجودة
+
+136
+00:11:45,180 --> 00:11:52,880
+نعم ما هو انا هكون بسألك هذا الرقم يقبل قسم على
+
+137
+00:11:52,880 --> 00:11:57,320
+سبعة ولا لا يقبل قسم على سبعة الجواب هكون نعم او
+
+138
+00:11:57,320 --> 00:12:00,900
+لا او اذا .. او اذا .. ممكن يكون السؤال هذا في ضمن
+
+139
+00:12:00,900 --> 00:12:04,700
+سؤال صح و غلط مثلا انا بقولك الرقم هذا is
+
+140
+00:12:04,700 --> 00:12:05,700
+divisable by seven
+
+141
+00:12:14,370 --> 00:12:27,430
+الرقم عشان يقبل القسم على تمانية بدي
+
+142
+00:12:27,430 --> 00:12:29,170
+اخد اخر تلاتة digit
+
+143
+00:12:32,050 --> 00:12:35,310
+least significant three digits أقل ثلاثة من اليسار
+
+144
+00:12:35,310 --> 00:12:39,730
+وجسم على تمانية طبعا تلزم الجسمة مطولة لو كان
+
+145
+00:12:39,730 --> 00:12:42,990
+مجموعة العدد بيقبل الجسمة على تسعة فالرقم هذا
+
+146
+00:12:42,990 --> 00:12:47,170
+بيقبل الجسمة على تسعة تعالى ناخد مثال من الأمثلة
+
+147
+00:12:47,170 --> 00:12:51,450
+هذه الموجودة مثال واحد فقط ونحاول نسقطه على كل
+
+148
+00:12:51,450 --> 00:12:56,170
+الأرقام اللي احنا بنشتغل عليها وخلينا ناخد الرقم
+
+149
+00:12:56,170 --> 00:13:03,100
+هذا الكبير وليش رأيكوا؟بمشي الحلوة الرقم هذا يا
+
+150
+00:13:03,100 --> 00:13:10,700
+سيد العزيز 109816
+
+151
+00:13:10,700 --> 00:13:16,240
+بيقبل الجسم على اتنين بيقبل الجسم على اتنين الان
+
+152
+00:13:16,240 --> 00:13:20,200
+اللي بتكلم ورا في موضوع الحضور والغياب خلّيك معايا
+
+153
+00:13:20,200 --> 00:13:25,190
+وثبث الورجة عندك مش مشكلة مش ضروري الانالان الرقم
+
+154
+00:13:25,190 --> 00:13:28,370
+بيقبل قسم على اتنين قلنا بتطلع خيانة الأحد ال
+
+155
+00:13:28,370 --> 00:13:32,110
+least significant digit لو كان عدد زوجي فيقبل قسم
+
+156
+00:13:32,110 --> 00:13:36,490
+على اتنين بيقبل قسم على اتنين بيقبل قسم على تلاتة
+
+157
+00:13:36,490 --> 00:13:42,410
+بدي اجمع كل ال digits واحد هي عشرة تمانطعش تسعة
+
+158
+00:13:42,410 --> 00:13:47,150
+طعش خمسة و عشرين تقبل قسم على تلاتة لا تقبل قسم
+
+159
+00:13:47,150 --> 00:13:53,190
+على تلاتة و مباشرة لا تقبل قسم على ستةولا تقبل
+
+160
+00:13:53,190 --> 00:13:56,750
+القسم على التسعة هذا الكلام من أين أنا جبته لأن
+
+161
+00:13:56,750 --> 00:13:59,730
+إذا كان بيقبل الجسم على تميل و بيقبل الجسم على
+
+162
+00:13:59,730 --> 00:14:03,050
+تلاتة فبيقبل الجسم على الستة بس هو ماجيبش الجسم
+
+163
+00:14:03,050 --> 00:14:07,450
+على تلاتة فقرر انه لا يقبل القسم على مين؟ على ستة
+
+164
+00:14:07,450 --> 00:14:11,290
+وبما أنه أنا جامع الرقم جامعه بقول إنه كان بيقبل
+
+165
+00:14:11,290 --> 00:14:14,830
+المجموع هذا بيقبل القسم على تسعة فبيقبل الجسم على
+
+166
+00:14:14,830 --> 00:14:19,280
+تسعة بس ال 25 لا تقبل القسم على تسعة مصبوط؟طيب
+
+167
+00:14:19,280 --> 00:14:25,260
+يقبل قسم على أربعة بدك تاخد أول two digits ست عشر
+
+168
+00:14:25,260 --> 00:14:30,440
+ست عشر تقبل قسم على أربعة تقبل قسم على أربعة هل
+
+169
+00:14:30,440 --> 00:14:34,120
+يقبل قسم على خمسة خانة الأحد لازم تكون صفر أو خمسة
+
+170
+00:14:34,120 --> 00:14:41,260
+هذه ستة لا يقبل قسم على خمسة يقبل قسم على سبعة بدك
+
+171
+00:14:41,260 --> 00:14:48,700
+تشتغل فيكواحد صفر تسعة تمانية واحد ناقص اتنين في
+
+172
+00:14:48,700 --> 00:14:53,600
+ستة ناقص اتناش واحد تمانية ناقص اتناش تسعة وستين
+
+173
+00:14:53,600 --> 00:15:01,240
+تسعة وستين واحد صفر تاسعة ستة تسعة بجبال جسم على
+
+174
+00:15:01,240 --> 00:15:08,320
+سبعة بعرفش واحد صفر تسعة ستة ناقص اتنين في تسعة
+
+175
+00:15:08,320 --> 00:15:15,750
+ناقص تمانتاش ستة وتسعين ناقص تمانتاش اتنيننين و
+
+176
+00:15:15,750 --> 00:15:20,610
+سبعين تمانية
+
+177
+00:15:20,610 --> 00:15:27,670
+و سبعين واحد صفر سبعة ناقص اتنين تمانية ناقص اتناش
+
+178
+00:15:27,670 --> 00:15:37,850
+ايوة واحد تسعين واحد تسعين يجيب الجسم على سبعة
+
+179
+00:15:37,850 --> 00:15:40,370
+برضه مش متأكد كمان مرة
+
+180
+00:15:45,230 --> 00:15:57,990
+تمانية تمانية تقبل قسم على سبعة معاكوا
+
+181
+00:15:57,990 --> 00:16:05,870
+حاجة تسعة ناقص اتنين سبعة تقبل قسم على سبعة معناته
+
+182
+00:16:05,870 --> 00:16:13,050
+العدل الأساسي هذا يقبل قسم على سبعة تمام يقبل قسم
+
+183
+00:16:13,050 --> 00:16:23,350
+على تمانيةبدك تاخد آخر تلاتة مش ضروري مش ضروري
+
+184
+00:16:23,350 --> 00:16:26,490
+ماعش تجبى الجسم على أربعة ماعش تجبى الجسم على
+
+185
+00:16:26,490 --> 00:16:31,210
+أربعة بس ماعش تجبى الجسم على تمانية لأن تمانية
+
+186
+00:16:31,210 --> 00:16:35,210
+واحد ستة تجبى الجسم على تمانية شكله ا جسم المطولة
+
+187
+00:16:35,210 --> 00:16:40,770
+سريعة تمانية واحد ستة على تمانية هي واحد واحد
+
+188
+00:16:40,770 --> 00:16:43,210
+مظبوط
+
+189
+00:16:46,780 --> 00:16:53,520
+معناته بيقبل الجسم على تمانية الجسم
+
+190
+00:16:53,520 --> 00:16:58,120
+على تسعة مجموعة digits كده؟ خمسة و عشرين جمعناهم
+
+191
+00:16:58,120 --> 00:17:06,040
+خمسة و عشرين تقبل قسم على تسعة؟ لأ احنا قلنا تاخد
+
+192
+00:17:06,040 --> 00:17:09,060
+التلان اول تلاتة digits وتجسم على تمانية إذا بيقبل
+
+193
+00:17:09,060 --> 00:17:11,660
+جسم على تمانية بمشي الحل otherwise لأ
+
+194
+00:17:24,170 --> 00:17:29,550
+الأعداد الصحيحة بعد هيك نتكلم على ال integers
+
+195
+00:17:29,550 --> 00:17:37,970
+بتشمل positive و negative و الصفرالـ Z نرموزها لا
+
+196
+00:17:37,970 --> 00:17:42,670
+إلا الـ Integers والـ Z Star بدون الصفر لأ هو
+
+197
+00:17:42,670 --> 00:17:47,030
+الصفر الآن من ضمن الأعداد الصحيحة الصفر من ضمن
+
+198
+00:17:47,030 --> 00:17:50,610
+الأعداد الصحيحة لأنه جاي رقم موجود ما بين السالب
+
+199
+00:17:50,610 --> 00:17:56,250
+والموجب، مظبوط؟فهو already من ضمن الأعداد الصحيحة
+
+200
+00:17:56,250 --> 00:17:59,610
+لكن إذا أنا بدي أتكلم على الأعداد الصحيحة دون
+
+201
+00:17:59,610 --> 00:18:07,350
+الصفر بدي أستخدم zero أو star الألم أنا بقوله ضد
+
+202
+00:18:07,350 --> 00:18:12,870
+star يعني بدون الصفر لكن أنا بقوله any star مع
+
+203
+00:18:12,870 --> 00:18:13,390
+الصفر
+
+204
+00:18:20,920 --> 00:18:25,600
+rational number الاعداد النسبية ايش العدد النسبي
+
+205
+00:18:25,600 --> 00:18:29,580
+يا شباب ال
+
+206
+00:18:29,580 --> 00:18:35,320
+rational او العدد النسبي او الكسب هو عبارة عن كل
+
+207
+00:18:35,320 --> 00:18:41,620
+عدد يمكن كتابته على شكل بسط و مقام بحيث ان البسط و
+
+208
+00:18:41,620 --> 00:18:47,620
+المقام عبارة عن اعداد صحيحة مش حقيقية اعداد صحيحة
+
+209
+00:18:48,210 --> 00:18:54,730
+طيب مثل ايش يا شباب النص ال
+
+210
+00:18:54,730 --> 00:18:59,070
+rational مظبوط هذا بيقول انه ينتمي ل Q مرموزة ل
+
+211
+00:18:59,070 --> 00:19:03,930
+بيه Q ليش؟ لأنه بقدر اكتب على صورة بسط و مقان
+
+212
+00:19:03,930 --> 00:19:10,110
+والبسط و المقان عبارة عن اعداد صحيحة لان كل عدد
+
+213
+00:19:10,110 --> 00:19:15,290
+بتقدر تكتبه بالشكل هذا فهو عدد نسبي اللي هو
+
+214
+00:19:15,290 --> 00:19:15,950
+rational number
+
+215
+00:19:20,490 --> 00:19:25,090
+والصلب هو المشكلة في الموضوع هى صلب point خمسة
+
+216
+00:19:25,090 --> 00:19:33,620
+وعشرين يساوي صلب واحدعلى أربعة سالب واحد تنتمي ل Z
+
+217
+00:19:33,620 --> 00:19:38,140
+عدد صحيح؟ عدد صحيح؟ عدد صحيح أنا ماقلتش natural
+
+218
+00:19:38,140 --> 00:19:41,700
+ماقلتش عداد طبيعية قلت أعداد صحيحة وعامالة كل
+
+219
+00:19:41,700 --> 00:19:46,780
+العداد الصحيحة موجب وسلب وصفر والأربعة عدد صحيح
+
+220
+00:19:46,780 --> 00:19:52,800
+وبالتالي هذا العدد هو عبارة عن rational number طيب
+
+221
+00:19:52,800 --> 00:19:54,560
+السؤال اللي بيطرح نفسه
+
+222
+00:19:59,440 --> 00:20:03,040
+كيف بدي أتعرف على الكثور اللي .. لو جاني مثلا كتب
+
+223
+00:20:03,040 --> 00:20:10,340
+ليه؟ واحد point ثلاثة هل هذا rational number ولا
+
+224
+00:20:10,340 --> 00:20:14,980
+irrational number؟ الآن في عندي أعداد غير نسبية
+
+225
+00:20:14,980 --> 00:20:19,580
+أعداد غير نسبية، إيش يعني غير نسبية؟ بقدرش أكتبها
+
+226
+00:20:19,580 --> 00:20:22,660
+على شكل بصق ومقام و تكون البصق والمقام عبارة عن
+
+227
+00:20:22,660 --> 00:20:27,470
+integersطب كيف ده يميز بين العدد النسبي والعدد
+
+228
+00:20:27,470 --> 00:20:31,050
+الغير نسبي لو كان مكتوب على شكل ال fraction بالشكل
+
+229
+00:20:31,050 --> 00:20:38,250
+هذا؟ الان فيها قاعدة بسيطة جدا دايما بننظر لمين؟
+
+230
+00:20:38,250 --> 00:20:45,130
+للي بعد الفاصلة ايش ماكان للي بعد الفاصلة اللي بعد
+
+231
+00:20:45,130 --> 00:20:50,530
+الفاصلة هذا هياخد واحد حالة من تلت حالاتاما بيكون
+
+232
+00:20:50,530 --> 00:20:55,930
+الكسر منتهي يعني بقولك واحد point ثلاثة تخلص الرقم
+
+233
+00:20:55,930 --> 00:21:02,290
+تمام؟ وهذا عبارة عن عدد نسبة ليه تلاتة على عشرة
+
+234
+00:21:02,290 --> 00:21:09,150
+تمام؟ او بتكون القيمة اللي موجودة في الكسر دورية
+
+235
+00:21:09,150 --> 00:21:15,570
+تتكرر زي ايش واحد point تلاتة تلاتة تلاتة تلاتة
+
+236
+00:21:15,570 --> 00:21:15,690
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+237
+00:21:15,690 --> 00:21:15,830
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+238
+00:21:15,830 --> 00:21:15,910
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+239
+00:21:15,910 --> 00:21:19,130
+تلاتة تلاتة تلاتة تلاتة تلاتعدد مسبي، وعن طريق
+
+240
+00:21:19,130 --> 00:21:24,150
+الحنور دي هنثبته عدد مسبي، العدد الغير مسبي طبعا
+
+241
+00:21:24,150 --> 00:21:29,910
+هو الصورة بتاعتها اللي بيكون في ال castle غير
+
+242
+00:21:29,910 --> 00:21:34,710
+منتهي تمام؟ بشكل غير دوري، بمعنى آخر اللي بيبقى
+
+243
+00:21:34,710 --> 00:21:38,670
+الماشي، لأ لأ حتى لما اتكلم دوري يا شباب، ازمينا
+
+244
+00:21:38,670 --> 00:21:43,090
+بيقول سبعة و تلاتين، سبعة و تلاتين، سبعة و تلاتين،
+
+245
+00:21:43,090 --> 00:21:46,650
+ويحطولي إلى ما لانهار على عدد دوريوحتى لو كان في
+
+246
+00:21:46,650 --> 00:21:53,350
+عنده رقم point اتنين مثلا سبعة خمسة سبعة خمسة سبعة
+
+247
+00:21:53,350 --> 00:21:56,470
+خمسة شوف الدوران مليون بديها سبعة خمسة هذا برضه
+
+248
+00:21:56,470 --> 00:22:01,410
+بيسمح لعدد دوري تمام؟ الآن هذه الأرقام عبارة عن
+
+249
+00:22:01,410 --> 00:22:05,910
+rational number نسبية لكن لما انا باجي باتكلم كان
+
+250
+00:22:05,910 --> 00:22:11,620
+في عنده رقم واحد pointأو Zero point بغض النظر سبعة
+
+251
+00:22:11,620 --> 00:22:15,720
+صفر تلاتة خمسة اتنين واحد سبعة Zero اتنين واحد
+
+252
+00:22:15,720 --> 00:22:21,920
+واحد Zero مافيش pattern معين و الأرقام هذه متجددة
+
+253
+00:22:21,920 --> 00:22:28,040
+هذا بنقول عنه عدد غير نسبة ال rational number زي
+
+254
+00:22:28,040 --> 00:22:33,000
+مين؟ زي جذر التنين لو حققت جذر التنين على ال
+
+255
+00:22:33,000 --> 00:22:37,390
+calculator انت على الحاسبة ايش بديك؟بديك واحد
+
+256
+00:22:37,390 --> 00:22:41,070
+فاصلة وحطولك أرقام لنهاية الشاشة مش الرقم اللي خلص
+
+257
+00:22:41,070 --> 00:22:45,250
+قدرة الآلة الحاسبة على ال representation هي اللي
+
+258
+00:22:45,250 --> 00:22:49,590
+خلصت فراح يعمل راوند لقى بقت سبع أرقام وقال لك
+
+259
+00:22:49,590 --> 00:22:54,510
+هيوا قربلك العدد عشان هيك الكثور اما تكتب على
+
+260
+00:22:54,510 --> 00:23:00,010
+صورتها الحقيقية وهذه في حالة ان العدد كله ملكسر
+
+261
+00:23:00,010 --> 00:23:06,350
+كله منتهي او على صورتها التقريبيةلما بكون الكاسر
+
+262
+00:23:06,350 --> 00:23:10,810
+عندها غير منتهي و لما بكون الكاسر غير منتهي بصير
+
+263
+00:23:10,810 --> 00:23:14,470
+بتكلم هل هو rational او غير rational سواء بحسب كان
+
+264
+00:23:14,470 --> 00:23:18,290
+دوري او غير دوري او على صورتها التقريبية عشان هي
+
+265
+00:23:18,290 --> 00:23:20,930
+كده قلتلك ال calculator او الحاسب او ال computer
+
+266
+00:23:20,930 --> 00:23:25,930
+حتى في آخر رقم بيقربلك إياه تقريب طيب كيف ممكن
+
+267
+00:23:25,930 --> 00:23:32,370
+نتعرف احنا على الأرقام اللي موجودة عندنا طبعا
+
+268
+00:23:32,370 --> 00:23:38,290
+هي نموذج كلنا بنعرف ال buy صح؟جدّيش؟ اتنين و عشرين
+
+269
+00:23:38,290 --> 00:23:44,190
+على سبعة تلاتة و اربتعاش من مية صح؟ ده عدد غير
+
+270
+00:23:44,190 --> 00:23:46,690
+نسبي واحد يقول يا استاذ هي اتنين و عشرين على سبعة
+
+271
+00:23:46,690 --> 00:23:52,570
+ده اقرب عدد له بس هو لا تساوي اتنين و عشرين على
+
+272
+00:23:52,570 --> 00:23:58,010
+سبعة هي اقرب عدد لها اقرب rational number لها
+
+273
+00:23:58,010 --> 00:24:04,910
+اتنين و عشرين على سبعة طيب تعالوا نشوفلو اجاني
+
+274
+00:24:04,910 --> 00:24:11,990
+السؤال زي هيك بقول شوف العدد هذا عدد نسبي ولا غير
+
+275
+00:24:11,990 --> 00:24:18,410
+نسبي؟ نسبي العدد بتطلع في العدد في عند الواحد
+
+276
+00:24:18,410 --> 00:24:22,750
+وعشرين متكرر
+
+277
+00:24:22,750 --> 00:24:28,730
+إلى مالة نهائية، عدد دوري، تمام؟ فهذاعدد نسبة بس
+
+278
+00:24:28,730 --> 00:24:33,670
+السؤال ايش قاعد بقول ليه اثبت ان العدد هذا عبارة
+
+279
+00:24:33,670 --> 00:24:38,530
+عن rational number اثبت ان العدد هذا عبارة عن
+
+280
+00:24:38,530 --> 00:24:44,550
+rational number طيب
+
+281
+00:24:44,550 --> 00:24:49,750
+خطوة رقم واحد اذا كنت راح تساوي بدك تفترض ان العدد
+
+282
+00:24:49,750 --> 00:24:55,010
+هذا اللي عندك يساوي X او اي متغير انت بتشوفه كل
+
+283
+00:24:55,010 --> 00:24:55,490
+العدد
+
+284
+00:24:58,260 --> 00:25:04,120
+الخطوة رقم اتنين بدك تضرب ال X هذه في عشرة او في
+
+285
+00:25:04,120 --> 00:25:11,000
+مائة او في الف بحيث انه تترتب الكثور تحت بعضهم و
+
+286
+00:25:11,000 --> 00:25:16,060
+تطلع العددين من بعض يعني لو انا ايديك قلت عشرة X
+
+287
+00:25:16,060 --> 00:25:21,760
+ايش يساوي 12
+
+288
+00:25:21,760 --> 00:25:27,400
+.12121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121
+
+289
+00:25:27,560 --> 00:25:30,540
+لو فكرت تطرح ما بينهم تطرح الأرقام هذه من بعض، شو
+
+290
+00:25:30,540 --> 00:25:37,500
+بيصير؟ تحصلش .. اللي أنا بجأور عليا شباب عشان أقدر
+
+291
+00:25:37,500 --> 00:25:42,020
+أخلص من الكسر، لازم يترطب الكسر تحت بعضه، ماينفعش
+
+292
+00:25:42,020 --> 00:25:45,160
+أقول اتنين ناقص واحد، بيبقى في عندي fraction، لو
+
+293
+00:25:45,160 --> 00:25:50,720
+قلتلك اطرح الآن انت هيكهتقول هنا 12 ناقص واحد
+
+294
+00:25:50,720 --> 00:25:55,940
+احداش point واحد ناقص اتنين او بالأحلى بقى تبدأ من
+
+295
+00:25:55,940 --> 00:25:58,140
+اقل less significant digital عشان تبدأ بالداية من
+
+296
+00:25:58,140 --> 00:26:02,240
+اللي قبل وبالتالي انت ماخلصتش من ال fraction عشان
+
+297
+00:26:02,240 --> 00:26:06,240
+هيك انت بدأ تتطلع القيمة الدورية واحدة ولا تنتين
+
+298
+00:26:06,240 --> 00:26:11,060
+ولا تلاتة اذا كانت القيمة الدورية واحدة ايش هتساوي
+
+299
+00:26:11,060 --> 00:26:16,010
+اضرب في عشرةإذا كانت تمتين أضرب في مية إذا كانت
+
+300
+00:26:16,010 --> 00:26:19,230
+تلاتة أضرب في ألف و اتذكر الكلام هذا كويس لإنه في
+
+301
+00:26:19,230 --> 00:26:23,210
+حالة جاية كمان شوية هتغير اللعبة شوية صغيرة الآن
+
+302
+00:26:23,210 --> 00:26:27,950
+هاتوا انا بدي أختار ميت إكس إيش ميت إكس ما تساوي
+
+303
+00:26:27,950 --> 00:26:33,630
+مية و واحد و عشرين point واحد و عشرين واحد و عشرين
+
+304
+00:26:33,630 --> 00:26:37,410
+واحد و عشرين واحد و عشرين و هذا كسر إلى ما لا
+
+305
+00:26:37,410 --> 00:26:46,190
+نهاية مصبوط الآن لو أنا قلتلك اطرحميت اكس ناقص اكس
+
+306
+00:26:46,190 --> 00:26:50,390
+ايش بده تساوي تسعة
+
+307
+00:26:50,390 --> 00:26:55,450
+وتسعين اكس بده تساوي جداش مية و واحد و عشرين ناقص
+
+308
+00:26:55,450 --> 00:27:04,650
+واحد مية و عشرين طب هدولة راحوا مع بعض مصبوط و
+
+309
+00:27:04,650 --> 00:27:13,420
+بالتالي صارت قيمة اكس بده تساوي مية و عشرينعلى
+
+310
+00:27:13,420 --> 00:27:21,960
+تسعة وتسعين تنتمي للزد انتجار انتجار وبالتالي ال X
+
+311
+00:27:21,960 --> 00:27:28,080
+عبارة عن rational number وهذا هو المقلوب من السؤال
+
+312
+00:27:28,080 --> 00:27:35,220
+هذا هو الإثبات المقلوب منها اكيد
+
+313
+00:27:35,220 --> 00:27:41,620
+اعيدها تاني انتبه معايا خطوة خطوة مركز معايا تماما
+
+314
+00:27:42,410 --> 00:27:49,350
+أحنا قلنا الآن عملية الإثباتبتكمل ان اتخلص من
+
+315
+00:27:49,350 --> 00:27:53,810
+الكسر بالكامل ان اتخلص من الكسر بالكامل عشان اتخلص
+
+316
+00:27:53,810 --> 00:27:58,190
+من الكسر بدي افهم الكسر اللي عندى قداشر الآن انا
+
+317
+00:27:58,190 --> 00:28:02,630
+بدي اعمل عملية طرح بحيث انه تصير في عندي constant
+
+318
+00:28:02,630 --> 00:28:09,090
+ثابت مضروب في x يساوي قيمة معينة value وبالتالي
+
+319
+00:28:09,090 --> 00:28:13,550
+هذه ال integer وهذه ال integer بتصير ال x بيتساوي
+
+320
+00:28:15,230 --> 00:28:18,170
+هذا الـ Value على الـ Constant هنا وبالتالي هذا
+
+321
+00:28:18,170 --> 00:28:23,810
+ريشونال نمبر الان كيف بدي أتعامل مع ال Value عشان
+
+322
+00:28:23,810 --> 00:28:27,590
+تصير لهذا Value لازم أخلص من مين؟ من ال fraction
+
+323
+00:28:27,590 --> 00:28:32,460
+لازم أخلص من القيمة العشرية لبعد الفاصلةطيب، الآن
+
+324
+00:28:32,460 --> 00:28:36,660
+عشان أخلص منها بدي أبدأ أفكر صح عشان أترحق نوع من
+
+325
+00:28:36,660 --> 00:28:40,800
+بعد أنها بيصير 9x أو 10x أو 11 أو 50 أو 100 أو ما
+
+326
+00:28:40,800 --> 00:28:44,220
+شابه ومما أنه أنا الفاصلة بتتحرك عشان لدينا أنت
+
+327
+00:28:44,220 --> 00:28:48,400
+ضرب في مضاعفات العشرة فانا بدي أضرب في عشرة أو في
+
+328
+00:28:48,400 --> 00:28:52,360
+مية أو في ألف أو في عشر تلاف أو في ميت ألف أحيانا
+
+329
+00:28:52,360 --> 00:28:57,760
+حسب المسألة اللي عندي الآن فهنا لو أنا ضربت في
+
+330
+00:28:57,760 --> 00:29:03,990
+عشرة لو قلت أنا عشرة xأيش بتتحرك؟ عندي خانة واحدة
+
+331
+00:29:03,990 --> 00:29:09,930
+بهمش انا خربت المسألة محلتهاش زدتها تعقيد بحيث انه
+
+332
+00:29:09,930 --> 00:29:13,810
+انا حركت one digit صارت عندي اتناشر ماشي point
+
+333
+00:29:13,810 --> 00:29:21,510
+واحد اتنين واحد اتنين واحد اتنين واحد اتنين لو انت
+
+334
+00:29:21,510 --> 00:29:26,770
+جيت قلتلك اطرح هتيش تقولي عشر اكس اتنين ناقص واحد
+
+335
+00:29:28,310 --> 00:29:31,730
+واحد واحد نقص اتنين تاخد من اللي قبلها و تبقى لك
+
+336
+00:29:31,730 --> 00:29:35,250
+تتغير لما تصل لعدد الصحيح و مش هتخلص من ال
+
+337
+00:29:35,250 --> 00:29:40,670
+fraction طيب الحل .. الحل انك تشوف القيمة الدورية
+
+338
+00:29:40,670 --> 00:29:47,830
+كم digit فيها تنتير خد تنتير يعني اضرب في مية 100x
+
+339
+00:29:47,830 --> 00:29:54,830
+بدها تساوي مية و واحد و عشرين point الفترة بتصير
+
+340
+00:29:54,830 --> 00:29:55,050
+هنا
+
+341
+00:30:07,970 --> 00:30:09,370
+2121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121
+
+342
+00:30:12,410 --> 00:30:17,670
+هتصير في عندي انا هان 121.2121 إلى مال نهاية و انا
+
+343
+00:30:17,670 --> 00:30:29,130
+1.2121 إلى مال نهاية بتصفر عندي هان 120.0 صح؟ و
+
+344
+00:30:29,130 --> 00:30:36,170
+هان 99x ال point zero يعني الفصل ماهياش وجوده شباب
+
+345
+00:30:36,170 --> 00:30:42,700
+صح؟ الآن بتصفر عندي المسألة x بيتساويمئة و عشرين
+
+346
+00:30:42,700 --> 00:30:50,360
+على تسعة وتسعين وهذه راشونال number راشونال number
+
+347
+00:30:50,360 --> 00:30:58,560
+تعالى نشوف كسر تانى جرب
+
+348
+00:30:58,560 --> 00:31:09,000
+typical الان او قلتلك انا جهة X بدها تساوي point
+
+349
+00:31:11,760 --> 00:31:18,540
+خمسة و عشرين منتهى
+
+350
+00:31:18,540 --> 00:31:27,920
+هذا مدهش كلام هذا خمسة و عشرين على مية حتى لو لم
+
+351
+00:31:27,920 --> 00:31:32,120
+اقول ربع هذا العدد عبارة عن خمسة و عشرين على مية
+
+352
+00:31:32,120 --> 00:31:37,120
+هذا انتجار وهذا انتجار فهو rational number ماتكمل
+
+353
+00:31:37,120 --> 00:31:38,940
+الشغل هذا هو خلصنا هذا rational number
+
+354
+00:31:51,260 --> 00:32:00,560
+جل ال X بيتساوي point 666 إلى مال نهاية العدد
+
+355
+00:32:00,560 --> 00:32:08,980
+الدوري كام واحدة كام خانها واحدة 110 X بيتساوي 6
+
+356
+00:32:08,980 --> 00:32:21,080
+point 6666 و هذا إلى مال نهاية طيب 10 Xماعقس X ايش
+
+357
+00:32:21,080 --> 00:32:31,960
+بيتساوي؟ بتساوي 6.0 بصبوت 6 ماعقس صفر 6 والكسر
+
+358
+00:32:31,960 --> 00:32:39,280
+يساوي الكسر بيروحوا مع بعض أصفر معناته 9X بيتساوي
+
+359
+00:32:39,280 --> 00:32:44,320
+6 ال X بيتساوي
+
+360
+00:32:47,790 --> 00:32:53,750
+6 على 9 و نبتدى تساوى 2 على 3 في ال calculator لما
+
+361
+00:32:53,750 --> 00:32:58,370
+تروح تحطله 2 على 3 point 6 6 6 6 6 و عند اخر page
+
+362
+00:32:58,370 --> 00:33:01,350
+بيحطلك ياشي سبعة لإن هو بيعمله roundation لإن هو
+
+363
+00:33:01,350 --> 00:33:07,050
+قاعد إلى ما لم يهاش أيها الواحد فهي مثال تعالى
+
+364
+00:33:07,050 --> 00:33:13,230
+نشوف كسر
+
+365
+00:33:13,230 --> 00:33:13,790
+زى هابا
+
+366
+00:33:19,700 --> 00:33:24,060
+نعم اسأل جايك
+
+367
+00:33:24,060 --> 00:33:28,240
+جايك في المثال اصبر شوية هى العدد هذا بقول افحص
+
+368
+00:33:28,240 --> 00:33:33,060
+هذا العدد rational ولا irrational مباشر
+
+369
+00:33:33,060 --> 00:33:37,860
+ايش باك تساوي بدك تروح تطلع على الكسر هل في اي
+
+370
+00:33:37,860 --> 00:33:43,640
+قيمة دورية واضح لأ هل العدد ممتهي لأ غير ممتهي في
+
+371
+00:33:43,640 --> 00:33:50,420
+هذا العدد irrationalهي ال X X is neither fixed nor
+
+372
+00:33:50,420 --> 00:33:57,700
+cyclic number ازميلكو كان بيسأل سؤال لو ازميلكو
+
+373
+00:33:57,700 --> 00:34:01,740
+كان بيسأل سؤال مهم وهذا كنت المثال اللي اشتغل عليه
+
+374
+00:34:01,740 --> 00:34:08,000
+التالي لما ييجي يقولك واحد point واحد خمسة وعشرين
+
+375
+00:34:08,000 --> 00:34:11,040
+خمسة وعشرين خمسة وعشرين
+
+376
+00:34:14,560 --> 00:34:19,600
+القيمة الدورية عدد دوري ولا لا؟ العدد هذا عدد دوري
+
+377
+00:34:19,600 --> 00:34:27,660
+ايوة انت لما تتحرك ممكن تضرب في عشرة وممكن تضرب في
+
+378
+00:34:27,660 --> 00:34:34,660
+نية انت لما تتحرك تتحرك التلاتة digits بالكامل طب
+
+379
+00:34:34,660 --> 00:34:39,500
+تعالى نشوف هيقولنا x تساوي الرقم هذا معناته هاي
+
+380
+00:34:39,500 --> 00:34:42,120
+الف x بدها تساوي
+
+381
+00:34:48,040 --> 00:34:53,120
+ومية خمسة وعشرين point خمسة وعشرين خمسة وعشرين
+
+382
+00:34:53,120 --> 00:34:56,520
+خمسة وعشرين إلى ما لا نهاية خلّيني أكتر تنتين بس
+
+383
+00:34:56,520 --> 00:35:02,260
+أو تلاتة حسب واتكرار مية لمية لكن يا سيدي العزيز
+
+384
+00:35:02,260 --> 00:35:07,440
+أيام دي اتمرح على ما حلتش المشكلة تعالي جرب اطرح
+
+385
+00:35:07,440 --> 00:35:12,540
+مانفعش اقول الف X نقص X ليش؟ لأنه حضرت اقول خمسة
+
+386
+00:35:12,540 --> 00:35:18,740
+وعشرين نقص واحد وماخلصتش من الكسر فهداش الحلحرك
+
+387
+00:35:18,740 --> 00:35:22,620
+الفاصلة تبعت هذا بواحد يعني بديش اطرح X لحالها بدي
+
+388
+00:35:22,620 --> 00:35:33,420
+اطرح عشرة X عشرة X شو بنت ساوي 11.2525
+
+389
+00:35:33,420 --> 00:35:42,480
+إلى مال نهاية الان الطرح بدي يكون الف X ناقص عشرة
+
+390
+00:35:43,220 --> 00:35:49,740
+اللي انقلتهم هنا هكون تسعمية وتسعين X ايش يساوي في
+
+391
+00:35:49,740 --> 00:35:55,280
+المقابل هذه عندك الف وخمس الف ومية وخمس وعشرين
+
+392
+00:35:55,280 --> 00:36:02,020
+ناقص احداشر يساوي الف ومية واربعتاشر
+
+393
+00:36:05,260 --> 00:36:09,400
+عرفت ليش انا اضرحت عشرة X مش واحد X لأن واحد X
+
+394
+00:36:09,400 --> 00:36:12,500
+عشان مش هتخلص من الواحد بالواحد X فاضطريت اضر في
+
+395
+00:36:12,500 --> 00:36:20,220
+ايش في عشرة الان X بدها تساوي واحد واحد واحد اربعة
+
+396
+00:36:20,220 --> 00:36:26,360
+على تسعمية وتسعين راشول ال number راشول ال number
+
+397
+00:36:26,360 --> 00:36:33,200
+راشول ال number صح الجسمة مثال تاني مثال تاني حاضر
+
+398
+00:36:34,640 --> 00:36:35,800
+حط رقمين تكرر
+
+399
+00:37:07,940 --> 00:37:12,660
+عشان fixed number لأ مش fixed number عشان fixed
+
+400
+00:37:12,660 --> 00:37:23,300
+number عشان fixed number عشان
+
+401
+00:37:23,300 --> 00:37:23,840
+fixed number عشان fixed number عشان fixed number
+
+402
+00:37:23,840 --> 00:37:23,860
+عشان fixed number عشان fixed number عشان fixed
+
+403
+00:37:23,860 --> 00:37:23,860
+number عشان fixed number عشان fixed number عشان
+
+404
+00:37:23,860 --> 00:37:23,920
+fixed number عشان fixed number عشان fixed number
+
+405
+00:37:23,920 --> 00:37:24,020
+عشان fixed number عشان fixed number عشان fixed
+
+406
+00:37:24,020 --> 00:37:24,120
+number عشان fixed number عشان fixed number عشان
+
+407
+00:37:24,120 --> 00:37:24,500
+fixed number عشان fixed number عشان fixed number
+
+408
+00:37:24,500 --> 00:37:27,560
+عشان
+
+409
+00:37:27,560 --> 00:37:29,640
+fixed number عشان fixed number عشان fixed number
+
+410
+00:37:29,640 --> 00:37:33,380
+عشان fixed number عشان fixed number عشان fixed
+
+411
+00:37:33,380 --> 00:37:35,560
+number عشان fixed number عشان fixed number عشان
+
+412
+00:37:35,560 --> 00:37:36,880
+fixed number عشان fixed number عشان fixed number
+
+413
+00:37:36,880 --> 00:37:36,880
+عشان fixed number عشان fixed number عشان fixed
+
+414
+00:37:36,880 --> 00:37:36,880
+number عشان fixed number عشان fixed number عشان
+
+415
+00:37:36,880 --> 00:37:36,880
+fixed number عشان fixed number عشان fixed number
+
+416
+00:37:36,880 --> 00:37:39,260
+عشان fixed number عشان fixed number عشان fixedماذا
+
+417
+00:37:39,260 --> 00:37:46,240
+أساوي؟ عشان أصل القيمة الدورية بدي أضرب في مية بدي
+
+418
+00:37:46,240 --> 00:37:54,760
+أضرب في مية، مظبوط؟ طيب 100x بدها تساوي 37 point،
+
+419
+00:37:54,760 --> 00:38:00,500
+واحد، اتنين، تلاتة، واحد، اتنين، تلاتة طيب، بنفع
+
+420
+00:38:00,500 --> 00:38:04,160
+أطرح ما بين هدول؟ كلها، أضرب في الف
+
+421
+00:38:07,290 --> 00:38:12,450
+فى مائة ألف بدك تضرب الآن لإيش لأنه انت الآن بدك
+
+422
+00:38:12,450 --> 00:38:17,730
+تحرك الخمسة هدول تاخدهم بعد الفافرة عشان تقدرش
+
+423
+00:38:17,730 --> 00:38:22,170
+تفصل أو على الأقل بدك تضرب الرقم هذا كمان فى ألف
+
+424
+00:38:22,170 --> 00:38:25,430
+يعني مائة ألف تصير عندى مائة ألف X
+
+425
+00:38:28,260 --> 00:38:34,480
+يساوي تلاتة سبعة واحد اتنين تلاتة point واحد اتنين
+
+426
+00:38:34,480 --> 00:38:38,860
+تلاتة واحد اتنين تلاتة اللي هي القيمة الدورية الان
+
+427
+00:38:38,860 --> 00:38:47,160
+الكسر هذا مساوي لهذا عند طرح بروحه بصف مين عندي
+
+428
+00:38:47,160 --> 00:38:56,080
+الان مائة الف اكس ماقص مائة اكس مائة
+
+429
+00:38:56,080 --> 00:38:56,720
+الف اكس
+
+430
+00:39:05,790 --> 00:39:13,570
+تسعة وتسعين الف وتسعمية تسعة
+
+431
+00:39:13,570 --> 00:39:16,950
+وتسعين الف وتسعمية
+
+432
+00:39:21,540 --> 00:39:26,120
+عندك سبعة و تلاتين ألف هي حتما لإن عندك مية مية و
+
+433
+00:39:26,120 --> 00:39:31,640
+تلاتة و عشرين مقل سبعة و تلاتين بدك تشتغل بطريقة
+
+434
+00:39:31,640 --> 00:39:35,680
+تقليدية هى هنا عندي واحد تراتاش مانات و انا في
+
+435
+00:39:35,680 --> 00:39:49,610
+عندي ستة واحد مابنفعش تسعة صفر X بدها تساويتلاتة
+
+436
+00:39:49,610 --> 00:39:57,290
+سبعة صفر ستة عفوا تسعة ستة على تسعة تسعة تسعة
+
+437
+00:39:57,290 --> 00:40:03,130
+صفرين rational number rational number integer و
+
+438
+00:40:03,130 --> 00:40:10,910
+integer مصبور تلاني أمور كيف أطلب منك طريقة أنا
+
+439
+00:40:10,910 --> 00:40:15,810
+بديك الرقم و قوللي هذا rational و لا irrational و
+
+440
+00:40:15,810 --> 00:40:20,470
+إذا أنا قلتلك اثبت ان هذا rationalخلاص فما تقوليش
+
+441
+00:40:20,470 --> 00:40:21,630
+ان هذا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+442
+00:40:21,630 --> 00:40:21,990
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+443
+00:40:21,990 --> 00:40:23,310
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+444
+00:40:23,310 --> 00:40:25,210
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+445
+00:40:25,210 --> 00:40:29,530
+ا ا ا ا ا ا
+
+446
+00:40:29,530 --> 00:40:33,710
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+447
+00:40:33,710 --> 00:40:34,090
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+448
+00:40:34,090 --> 00:40:34,550
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+449
+00:40:34,550 --> 00:40:35,830
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+450
+00:40:35,830 --> 00:40:45,390
+ا ا ا ا ا
+
+451
+00:40:45,390 --> 00:40:48,260
+ا ا ا ا او هى حركناها انا خانتين بقى تحركوا تلاتة
+
+452
+00:40:48,260 --> 00:40:52,320
+هو نفس الشغل بس بدل ما تضرب في 100 ألف بقى تضرب في
+
+453
+00:40:52,320 --> 00:40:57,620
+مليون و اذا على 100 ألف مشكلة كنا بنقرح عشان نقرح
+
+454
+00:40:57,620 --> 00:41:02,720
+منها 100 طيب ننتقل للموضوع اللى بعده بعد ال
+
+455
+00:41:02,720 --> 00:41:08,500
+rational number نتكلم على ال real numbers الاعداد
+
+456
+00:41:08,500 --> 00:41:13,780
+الحقيقية و بنرمزلها ال R و اذا كان بيبقى second
+
+457
+00:41:13,780 --> 00:41:19,250
+الصفرباستخدم R star وطبعا لما أنا بتكلم على
+
+458
+00:41:19,250 --> 00:41:22,610
+الأعداد الحقيقية هو عبارة عن كل عدد ممكن يخطر على
+
+459
+00:41:22,610 --> 00:41:26,830
+ذلك كل الأرقام اللي كتبناها سابقا على اللوح وظهرت
+
+460
+00:41:26,830 --> 00:41:31,550
+معانا في ال slides هي عبارة عن أرقام حقيقية عبارة
+
+461
+00:41:31,550 --> 00:41:39,020
+عن أرقام اعداد حقيقية real numbersبدون صفر معدن
+
+462
+00:41:39,020 --> 00:41:42,320
+natural number لأن طبعتها ال star يعني أن هناك
+
+463
+00:41:42,320 --> 00:41:48,740
+تغيير يا شباب اسمه ال N في عندنا N star و في عندنا
+
+464
+00:41:48,740 --> 00:41:55,400
+Z star و في عندنا R star ال star يعني أن هناك
+
+465
+00:41:55,400 --> 00:41:58,240
+تغيير على المجموعة و التغيير هذا له علاقة بالصفر
+
+466
+00:41:58,900 --> 00:42:02,140
+الـ natural number مافيش فيها صفر يعني كم إضافة
+
+467
+00:42:02,140 --> 00:42:07,360
+الصفر لها الزبد والار فيهم الصفر والتغيير العلاقة
+
+468
+00:42:07,360 --> 00:42:12,780
+بالصفر المنات واخدنا الصفر منهم طب كيف تشيل السبعة
+
+469
+00:42:12,780 --> 00:42:16,980
+و تلاتين هذا
+
+470
+00:42:16,980 --> 00:42:22,660
+يا حميد تمام كيف هي تشيلهم بكتبره في مية صح حركته
+
+471
+00:42:22,660 --> 00:42:27,680
+في مية الان بقدر انا اقول ميت اكس ناقص اكسأكيد لأ،
+
+472
+00:42:27,680 --> 00:42:31,620
+ليش؟ لأن الـ 37 مزلت في الـ X بعد الفاصلة فأنا
+
+473
+00:42:31,620 --> 00:42:35,600
+حصلت هنا نعم، بس بدي الأن أحصل على رقم لما أطرحهم
+
+474
+00:42:35,600 --> 00:42:38,480
+التنين يدّيني ال fraction اللي هي القيمة اللي بعد
+
+475
+00:42:38,480 --> 00:42:43,700
+الفاصلة تصير صفر فاضطرت أضرب في 100 ألف عشان أعمل
+
+476
+00:42:43,700 --> 00:42:48,640
+.. لأن العدد الدوري عندي أنا كام خانة؟ تلاتة، شوف
+
+477
+00:42:48,640 --> 00:42:53,290
+العدد الدوري تلت خانات ومثبوض الخانتينفصارت انا
+
+478
+00:42:53,290 --> 00:43:01,730
+بدى اضرب في خمسة يعني في 100 ألف اضرب
+
+479
+00:43:01,730 --> 00:43:06,010
+مافيش مشكلة انت هترجع مرة تانية لما تقع هتضرب في
+
+480
+00:43:06,010 --> 00:43:10,550
+100 اه اسمكم بيقول ليش ماضربناش في 100 ألف مباشرة
+
+481
+00:43:10,550 --> 00:43:14,910
+شباب انا بقول كلام بسيط جدا انا عشان انا احط
+
+482
+00:43:14,910 --> 00:43:19,970
+القيامة الدورية بعد الفاصلة ان اضرب في 100 او في
+
+483
+00:43:19,970 --> 00:43:25,540
+100 ألفلما ضربت في مية ماقدرتش أطرح ماقدرتش أطرح
+
+484
+00:43:25,540 --> 00:43:29,520
+مظهور ولا لأ طيب ضربت في مية ألف هي سارة الرقم لأن
+
+485
+00:43:29,520 --> 00:43:35,200
+أطرح منها X مش هستفيد حاجة أطرح عشرة X برضه لأ لكن
+
+486
+00:43:35,200 --> 00:43:40,720
+عند طرح مية X حلت المسألة صار ال fraction قيمته
+
+487
+00:43:40,720 --> 00:43:44,300
+صفر وانا عمليت الطرح بتهمني لما تصير قيمة ال
+
+488
+00:43:44,300 --> 00:43:47,560
+fraction صفر نعم الكثر لو كان من ده هي عقل نسبة
+
+489
+00:43:47,560 --> 00:43:51,600
+صارأكيد نصبي الان ايش الكسر اللي ممكن يخطر على
+
+490
+00:43:51,600 --> 00:43:58,540
+بالك ادينا اي قيمة اي اشي سبعة تمانية تسعة واحد
+
+491
+00:43:58,540 --> 00:44:05,680
+خلص الكسر سبعة تمانية تسعة واحد على
+
+492
+00:44:08,680 --> 00:44:11,880
+عشرة ألف مظبوط لما تدرُف أربعة عد كام خانة
+
+493
+00:44:11,880 --> 00:44:16,060
+واستبدلهم بأصفر وحط الواحد على يسارهم بصير عندك
+
+494
+00:44:16,060 --> 00:44:25,540
+الرقم اللي بتقرأه صح راشونال number علاقة
+
+495
+00:44:25,540 --> 00:44:29,380
+الأعداد مع بعضها أو علاقة المجموعات مع بعضها هي ال
+
+496
+00:44:29,380 --> 00:44:35,180
+natural numberالمجموع الصفر هاي المجموع اللازرق
+
+497
+00:44:35,180 --> 00:44:41,360
+السماوي هاي اضفنا الصفر او سيام سموه الاصفر المائل
+
+498
+00:44:41,360 --> 00:44:45,580
+البرتقالي هذا او ال orange integers rational
+
+499
+00:44:45,580 --> 00:44:50,140
+number لاحظ ال rational جمعت كل أرقام لو انا جيت و
+
+500
+00:44:50,140 --> 00:44:55,220
+قلت لك السبعة rational number تقدر تكتب على مصدر
+
+501
+00:44:55,220 --> 00:45:03,720
+مقام سبعة سبعة سبعة ايوة السبعة تنتمي ل Qلأن هى
+
+502
+00:45:03,720 --> 00:45:10,440
+تساوي سبعة على واحد وال irrational مجموعة الأرقام
+
+503
+00:45:10,440 --> 00:45:18,480
+الغير النسبية طيب الاعداد التخيلية احنا
+
+504
+00:45:18,480 --> 00:45:21,280
+بدنا نخلص ال chapter سؤال اتنين تلاتة هخلص اليوم
+
+505
+00:45:21,280 --> 00:45:21,660
+تفضل
+
+506
+00:45:26,580 --> 00:45:30,960
+مستحيل .. شوف انا مش .. انا مش بالمكرها ده اروح
+
+507
+00:45:30,960 --> 00:45:35,060
+اجيبلك سؤال او عدد irrational و اقولك اثبت انه
+
+508
+00:45:35,060 --> 00:45:41,020
+rational .. اثبت انه irrational .. فشي بقى هو انا
+
+509
+00:45:41,020 --> 00:45:43,820
+هقولك .. اسأل .. قولي هذا العدد دوة، هذا العدد
+
+510
+00:45:43,820 --> 00:45:48,250
+rational ولا irrational؟ وليش؟الـ Rational حالة
+
+511
+00:45:48,250 --> 00:45:53,950
+واحدة إن الـ fraction غير منتهي و غير دوري زي ما
+
+512
+00:45:53,950 --> 00:45:57,950
+كان في الإصلاح بالتمام فهو الـ Rational الـ
+
+513
+00:45:57,950 --> 00:46:01,970
+Imagary Numbers أو الأعداد التخيلية احنا شوفنا خط
+
+514
+00:46:01,970 --> 00:46:05,450
+الأعداد قبل شوية بس ماوقفناش عنده كتير مع ال
+
+515
+00:46:05,450 --> 00:46:08,450
+rational number هي مع ال real number بصبح نعرف خط
+
+516
+00:46:08,450 --> 00:46:13,390
+الأعداد هذا تمامالان في الاعداد او الاعداد
+
+517
+00:46:13,390 --> 00:46:19,230
+التخيلية اجت عشان تحلي مشكلة القيمة السالبة اللي
+
+518
+00:46:19,230 --> 00:46:23,510
+تحت الجذر او بشكل رياضي ادق انها تحللي المسائل
+
+519
+00:46:23,510 --> 00:46:27,470
+اللي مالهاش حل حقيقي كيف يعني؟ لو انا اجيت في
+
+520
+00:46:27,470 --> 00:46:33,990
+مسألة زي هذه X تربيع زائد 16 يساوي الصفر ايش ال
+
+521
+00:46:33,990 --> 00:46:38,250
+route تبعت المعادلة؟ ايش قيمة ال X اللي فعليا
+
+522
+00:46:38,250 --> 00:46:42,550
+بتخلي المعادلة هادي تصير؟صفر لما بتكلم على ال
+
+523
+00:46:42,550 --> 00:46:48,310
+route أو الجذر بتكلم على قيمة X اللي بتخلي
+
+524
+00:46:48,310 --> 00:46:53,170
+المعادلة هذه فعليها تصبح صحيحةاربعة؟ اربعة زي
+
+525
+00:46:53,170 --> 00:46:56,430
+اربعة اقصى اتنين ستة عشر ستة عشر زي ستة عشر اتنين
+
+526
+00:46:56,430 --> 00:47:02,610
+و تلاتين يا صاحبي سالب اربعة غير
+
+527
+00:47:02,610 --> 00:47:07,990
+صحيح و الكلام اللي بتقوله مش منطقي ايوة انت عشان
+
+528
+00:47:07,990 --> 00:47:12,490
+تصل ال road بكل بساطة بتقولي X تربيهك بدها تساوي
+
+529
+00:47:12,490 --> 00:47:19,180
+سالب ستة عشر و ال X بدها تساويسالب جذر الـ 16 و
+
+530
+00:47:19,180 --> 00:47:29,120
+اللي هي بيها تساوي اربعة في جذر السالب واحد انت
+
+531
+00:47:29,120 --> 00:47:32,360
+ماخلصتش من الجذر ماوصلتش ل روت طب مافيش عنده قيمة
+
+532
+00:47:32,360 --> 00:47:37,900
+سالب واحد تحت الجذر او قيمة تخيّلية عشان نفهم ليه
+
+533
+00:47:37,900 --> 00:47:43,920
+سمونها تخيّلية تعالى نشوف لو انا ربعت الجذر جذر
+
+534
+00:47:43,920 --> 00:47:49,850
+السالب واحدتربيع ايش تساوي؟ سالب واحد يعني بين
+
+535
+00:47:49,850 --> 00:47:53,870
+قسين جذر السالب واحد في جذر السالب واحد تساوي سالب
+
+536
+00:47:53,870 --> 00:48:02,210
+واحد طيب لو كانت المسألة هذه X تربيع ناقص ستاش
+
+537
+00:48:02,210 --> 00:48:08,930
+تساوي صفر معناه X بدها تساوي جذر الستاش وتساوي
+
+538
+00:48:08,930 --> 00:48:14,650
+موجب او سالب اربعة بصبوت؟الموجة بيعرفناها أبو
+
+539
+00:48:14,650 --> 00:48:19,830
+السلم من وين إجت هي عبارة عن العدد المقابل للأربعة
+
+540
+00:48:19,830 --> 00:48:23,930
+عن خط الأعداد على قرار فرض أن هنا صفر هنا أربعة
+
+541
+00:48:23,930 --> 00:48:29,610
+وهنا سالب أربعة، مصبوط؟ وبما أن التربية إشارة
+
+542
+00:48:29,610 --> 00:48:33,390
+عبارة عن حاصل درب الرقم في نفسه الإشارة في بعضها
+
+543
+00:48:33,390 --> 00:48:34,770
+بتروح، السلف السلب بروح
+
+544
+00:48:39,420 --> 00:48:44,580
+لأ مظبوط كان جذر بروح الجذر مع بعض الجذر بروح مع
+
+545
+00:48:44,580 --> 00:48:49,120
+الجذر لأن هذا أس نص وهذا أس نص عند الضرب تجمع
+
+546
+00:48:49,120 --> 00:48:54,420
+الأسس إذا اتحدت الأساس الأساس الآن هذه سالب واحد
+
+547
+00:48:54,420 --> 00:49:01,660
+أس نص وهذه سالب واحد أس نص اجمع الأسس سالب واحد أس
+
+548
+00:49:01,660 --> 00:49:02,060
+واحد
+
+549
+00:49:05,140 --> 00:49:09,700
+السالب واحد طبعا الان على خط الاعداد هذا يا شباب
+
+550
+00:49:09,700 --> 00:49:17,220
+ايش اللي بيجيب او بيخل الاربعة تيجي هنا ان
+
+551
+00:49:17,220 --> 00:49:22,940
+انا اروح اضربها في سالب واحد و
+
+552
+00:49:22,940 --> 00:49:26,640
+اللي بيخل السالب اربعة تيجي هنا برضه اضربها في
+
+553
+00:49:26,640 --> 00:49:32,520
+سالب واحد يعني السالب واحد هو الحل تبعيطيب سالب
+
+554
+00:49:32,520 --> 00:49:38,800
+واحد تحت الجدر وين خلت الرقم؟
+
+555
+00:49:38,800 --> 00:49:43,000
+مكملش
+
+556
+00:49:43,000 --> 00:49:47,700
+نص الطريق الجدر ولا لأ؟ إذا كان هان واحد فهو ضد
+
+557
+00:49:47,700 --> 00:49:52,640
+الرحلة طيب الزاوية هذه السالب واحد قدش مقدار
+
+558
+00:49:52,640 --> 00:49:57,480
+الزاوية اللي عملتها هان؟ مية وتمانين درجة تمام؟ نص
+
+559
+00:49:57,480 --> 00:49:59,860
+المية وتمانين قدش يا شباب؟ تسعين
+
+560
+00:50:13,170 --> 00:50:18,390
+الرقم بدأ يتحول للناحية التانية على خط الأعداد لكن
+
+561
+00:50:18,390 --> 00:50:23,460
+في مرق و هذا طبعا نسميه real numberبين يعني حقيقي
+
+562
+00:50:23,460 --> 00:50:27,740
+أو واقعي تمام؟ لما بدى الرقم ان يتحول لاتجاه
+
+563
+00:50:27,740 --> 00:50:32,100
+التاني متمش عملية التحويل أو بين يوسين مكوك الفضاء
+
+564
+00:50:32,100 --> 00:50:36,460
+اللى أخده و اللى انحرف عن المسار فظل معالج وين؟
+
+565
+00:50:36,460 --> 00:50:44,080
+فوق خط الأعداد فش فسمع imaginary number او قيمة
+
+566
+00:50:44,080 --> 00:50:50,540
+تخيلية يعني أخد قيمةماوصلش يكمل طريقه لوين انه
+
+567
+00:50:50,540 --> 00:50:54,500
+بحيث انه ينزل على خط الأعداد بالكامل وهذه كانت
+
+568
+00:50:54,500 --> 00:51:00,780
+فكرة القيمة التخيلية من البداية وطبعا صاروا يرمزوا
+
+569
+00:51:00,780 --> 00:51:05,580
+لجذر السالب واحد بقيمة بالرمز I دلالة على ال
+
+570
+00:51:05,580 --> 00:51:10,900
+imaginary او قيمة التخيلية هذه الكلام اللي بعمله
+
+571
+00:51:10,900 --> 00:51:15,380
+بحكيلك إياه و علاقته بالزيادة اللي موجودة الفكرة
+
+572
+00:51:15,380 --> 00:51:24,610
+وين من الشباب؟ان لو انا ضربت الرقم
+
+573
+00:51:24,610 --> 00:51:29,430
+او ال I في نفسها القيمة التخيولية في نفسها بصير
+
+574
+00:51:29,430 --> 00:51:34,450
+عدد حقيقي بصير عدد حقيقي القيمة التخيولية في نفسها
+
+575
+00:51:34,450 --> 00:51:40,110
+تعطيني عدد حقيقي سالب واحد I في I اللي كتبناها قبل
+
+576
+00:51:40,110 --> 00:51:43,830
+شوية جذر السالب واحد في جذر السالب واحد تساوي سالب
+
+577
+00:51:43,830 --> 00:51:49,610
+واحدبناء على الأعداد التخيلية طلع عندي شغل اسمها
+
+578
+00:51:49,610 --> 00:51:54,270
+الأعداد المركبة ايش الأعداد المركبة؟ الأعداد
+
+579
+00:51:54,270 --> 00:51:59,510
+المركبة هي عبارة عن أرقام او أعداد تكتب بمكولتين
+
+580
+00:51:59,510 --> 00:52:09,410
+مركبتين من اسمها مركبة مركبة حقيقية a زائد b
+
+581
+00:52:09,410 --> 00:52:15,740
+مضروبة في iوهذه بنقول عنها مُركّبة حقيقية حقيقية
+
+582
+00:52:15,740 --> 00:52:21,560
+وهذه مُركّبة تخيّلية عشان هيك العدد صار اسمه أعداد
+
+583
+00:52:21,560 --> 00:52:26,840
+مُركّبة مش تخيّلية العدد التخيّلي لحاله I عند قيمة
+
+584
+00:52:26,840 --> 00:52:32,060
+تخيّلية واحدة فقط اللي هي ال I اللي هي جزر السالب
+
+585
+00:52:32,060 --> 00:52:37,200
+واحد قيمة تخيّلية واحدة فقط لأن قيمة التخيّلية هذه
+
+586
+00:52:37,200 --> 00:52:43,240
+لمباجِب أضربها في أي رقمفبتكلم عن قيمة تخيلية يعني
+
+587
+00:52:43,240 --> 00:52:46,800
+تتخيل .. هورديك كمان شوية الـ Cartesian Plan كيف
+
+588
+00:52:46,800 --> 00:52:49,920
+كان شكله مع القيمة التخيلية فهو يقول عن المركبة
+
+589
+00:52:49,920 --> 00:52:55,640
+التخيلية الـA والـB تنتمي لـR يا شباب ايش
+
+590
+00:52:55,640 --> 00:53:00,880
+يعني تنتمي لـR؟ يعني أعداد حقيقية .. أعداد حقيقية
+
+591
+00:53:00,880 --> 00:53:08,280
+لكن العدد كله هذا عبارة عن Complex Numberعدد مركّب
+
+592
+00:53:08,280 --> 00:53:13,600
+ليش مركّب؟ لأنه فيه جزئيتين جزئية تخيّلية اللي هي
+
+593
+00:53:13,600 --> 00:53:28,640
+الموضوع اللي موجودة فيها الـ I وجزئية حقيقية الان
+
+594
+00:53:28,640 --> 00:53:32,000
+شوف المخطط اللي موجود عندنا هنا احنا بيعرف أي خط
+
+595
+00:53:32,000 --> 00:53:37,530
+العدد أظبط؟وبما انه اتضرب في سالب واحد كان بيقوللي
+
+596
+00:53:37,530 --> 00:53:43,350
+عن ناحية التانية سواء كانت موجبة او سالبة فبنقوللي
+
+597
+00:53:43,350 --> 00:53:46,070
+من اتجاهها لاتجاه التاني قوللي القيمة التخيلية
+
+598
+00:53:46,070 --> 00:53:52,490
+حطتني وين فوق خط الاعداد مع الاعداد المركبة صرت
+
+599
+00:53:52,490 --> 00:53:57,410
+انا بدأ احد بال position تبعت مين تبعت القيمة
+
+600
+00:53:57,410 --> 00:54:01,380
+التخيلية وين موجودة تحت ال imaginaryالان لو انا
+
+601
+00:54:01,380 --> 00:54:08,360
+قلت لك الـ Z تبعتي بدها تساوي اتنين زائد تلاتة I
+
+602
+00:54:08,360 --> 00:54:14,400
+هاي
+
+603
+00:54:14,400 --> 00:54:20,020
+التنين القيمة المركبة تبعتي و تلاتة I القيمة ال
+
+604
+00:54:20,020 --> 00:54:25,700
+imaginary ان تتخيل العمود هذا تلاتة I هو واحد I
+
+605
+00:54:25,700 --> 00:54:35,850
+اتنين تلاتةهي القيمة تبعتي 2 زائد ثلاثة I مش
+
+606
+00:54:35,850 --> 00:54:40,250
+احنا قبل شوية قولت ان الدورة تبع الجدر ال I ما
+
+607
+00:54:40,250 --> 00:54:44,930
+تمتش ماصارش سالب و بقى اللي معلج فوق خط الأعداد
+
+608
+00:54:44,930 --> 00:54:49,970
+ولم تم معلج بناء على في مكان مهن فوق الخط مش على
+
+609
+00:54:49,970 --> 00:54:54,470
+الخط الحقيقي هيه لإن احنا بنعرف بس هدول فوق و تحت
+
+610
+00:54:54,470 --> 00:54:59,350
+مش حسبتناطيب عشان نقدر نحدد ال position تبعته صح
+
+611
+00:54:59,350 --> 00:55:03,650
+واحد يقول و الله أهدفاج عنده خيال واسع و هو بفكر
+
+612
+00:55:03,650 --> 00:55:07,130
+في الموضوع أكيد لأنه اعتمد على قيمة خيولية أساسا
+
+613
+00:55:07,130 --> 00:55:10,850
+للوصول للحل وبالتالي حدد ال position تبع الرقم
+
+614
+00:55:10,850 --> 00:55:17,330
+المركب هذا بالشكل هذا لو انا اتيت قلت ايه بدها
+
+615
+00:55:17,330 --> 00:55:23,990
+تساوي سالي بتنين سالي او سالي بتلاتة I
+
+616
+00:55:27,290 --> 00:55:30,150
+وين السالب اتنين في الـ real number؟ هاي سالب
+
+617
+00:55:30,150 --> 00:55:34,890
+اتنين في الـ real number بسبب سالب تلاتة I هاي
+
+618
+00:55:34,890 --> 00:55:38,990
+سالب تلاتة I وبالتالي
+
+619
+00:55:38,990 --> 00:55:44,910
+الرقم اللي عندى هيه سالب اتنين سالب تلاتة I اللي
+
+620
+00:55:44,910 --> 00:55:48,890
+هي قيمة الـ A طبعا
+
+621
+00:55:48,890 --> 00:55:54,670
+هذه احنا بنسميها انعكاس حول نقطة الصفر هنتكلم
+
+622
+00:55:54,670 --> 00:55:56,790
+عليها في حينها ان شاء الله لاحقا
+
+623
+00:55:59,590 --> 00:56:04,770
+هل الأعداد التخيلية لها تطبيقات أو عفوًا الأعداد
+
+624
+00:56:04,770 --> 00:56:06,950
+المُركّبة فيها لها تطبيقات؟ أه فيها لها تطبيقات و
+
+625
+00:56:06,950 --> 00:56:10,910
+تطبيقات كتيرة تستخدم في الـ Modeling System لما
+
+626
+00:56:10,910 --> 00:56:17,470
+بتحاكي شغلة معينة خصوصًا تكون ال input تبعتها غير
+
+627
+00:56:17,470 --> 00:56:21,770
+ثابتة تستخدم في تصميم الدوائر الإلكترونية القيم
+
+628
+00:56:21,770 --> 00:56:27,720
+التخيلية اللي موجودة عندهاو اكتر مثال ممكن تختار
+
+629
+00:56:27,720 --> 00:56:31,540
+على بالك في موضوع القيم التخيلية و ال position
+
+630
+00:56:31,540 --> 00:56:37,480
+تبعتها الحركة اللولادية اللي ممكناش تصير لأي مقذوف
+
+631
+00:56:37,480 --> 00:56:45,600
+او في داخل اي عنصر هي قيمة الان z بيتساوي x زائد i
+
+632
+00:56:45,600 --> 00:56:51,380
+في yلقال قيمة خيولية هذه الآن مثل الحركة اللولدية
+
+633
+00:56:51,380 --> 00:56:55,980
+لأي شغلة حد فيك عمره راح على مطحنة او على محجار او
+
+634
+00:56:55,980 --> 00:57:01,940
+ما شابه الان لما بيونجل الجمح
+
+635
+00:57:01,940 --> 00:57:06,480
+او الحجوب او الحجار مش ضروري الماقل تبع يكون مسطح
+
+636
+00:57:06,480 --> 00:57:12,560
+تمام ويتحرك بشكل مستقيم بلاش عمركوا شوفتوا مطاحن
+
+637
+00:57:12,560 --> 00:57:17,610
+الفلافل نظام المطحنةكيف المطحنة بتنجل من نقطة
+
+638
+00:57:17,610 --> 00:57:22,870
+لمقطة؟ من بدأ الحركة الحلزونية هذه أو اللولبية
+
+639
+00:57:22,870 --> 00:57:28,410
+اللي موجودة بتصير تسحب و بتدفع في مرحلة عند الشفرة
+
+640
+00:57:28,410 --> 00:57:34,670
+و هذه الحركة هي هذه محاكة لل number
+
+641
+00:57:36,740 --> 00:57:42,040
+مجموعة الأعداد أو الأعداد المركبة بتخضع لقوانين
+
+642
+00:57:42,040 --> 00:57:44,720
+الجبر اللي احنا شوفناها سابقا ايش قوانين الجبر
+
+643
+00:57:44,720 --> 00:57:49,040
+اللي احنا بنعرفها او شوفناها سابقا يعني لما تضرب
+
+644
+00:57:49,040 --> 00:57:54,460
+رقمين تعجب ان نروح على الأعداد المركبة نتذكر مع
+
+645
+00:57:54,460 --> 00:58:05,080
+بعض هم لو قلتلك a زائد b مضروبة في c زائد d بتعرف
+
+646
+00:58:05,080 --> 00:58:14,780
+تحلوها يا شبابهذه تساوي AC زائد AD يعني أخدت الأول
+
+647
+00:58:14,780 --> 00:58:19,020
+ضربته في الأول و ضربته في الثاني كل واحد حسب إشارة
+
+648
+00:58:19,020 --> 00:58:24,780
+كل واحد يوم بعد هيك الآن زائد B تضربه في الـC و
+
+649
+00:58:24,780 --> 00:58:31,900
+تضربه في الـD زائد BC زائد BB و طبعا لما تتغير
+
+650
+00:58:31,900 --> 00:58:35,220
+الإشارة بتصير تتغير الإشارة حسب عملية الضرب اللي
+
+651
+00:58:35,220 --> 00:58:39,420
+احنا بنعرفها تماملو انا اجريت بدي اضرب عددين
+
+652
+00:58:39,420 --> 00:58:44,780
+تخيليين مع بعض عفوا عددين مركبين عددين مركبين A
+
+653
+00:58:44,780 --> 00:58:51,500
+زائد DI و بدي اجمعله C زائد DI هذا تخيلي هذا قيمة
+
+654
+00:58:51,500 --> 00:58:58,180
+تخيلية وهذا قيمة تخيلية لكن هذا Complex ككل وهذا ك
+
+655
+00:58:58,180 --> 00:59:03,320
+Complex لما انا بدي اجمع بدي اجمع القيمة المركبة
+
+656
+00:59:03,320 --> 00:59:07,720
+في الحالالقيمة التخيلية لحال أو المركبة التخيلية
+
+657
+00:59:07,720 --> 00:59:11,740
+لحال و المركبة الحقيقية لحال يعني بدي أجمع ال a مع
+
+658
+00:59:11,740 --> 00:59:19,540
+ال c عند الجمع و ال bi مع ال di تساوي a c زائد bi
+
+659
+00:59:19,540 --> 00:59:24,220
+di و اللي بناخده i عين المشترك تمام عند عملية
+
+660
+00:59:24,220 --> 00:59:32,100
+الضرب بدي أطبق عليه عملية الضرب تماما a c
+
+661
+00:59:32,100 --> 00:59:33,940
+في a di زائد a di
+
+662
+00:59:42,020 --> 00:59:47,000
+بس بما ان العملية إبدالية مش هتكون اندي مشكلة C في
+
+663
+00:59:47,000 --> 00:59:54,720
+بي اي زائد بي اي في دي اي بي اي دي اي الاي في اي
+
+664
+00:59:54,720 --> 01:00:03,080
+اي تربيع مظبوط سالب واحد معناته هتصير سالب بي دي
+
+665
+01:00:03,080 --> 01:00:10,140
+سالب بي ديوبتصير عند المثل AC-BD زائد هذه قيمة
+
+666
+01:00:10,140 --> 01:00:16,200
+تخيّلية وهذه قيمة تخيّلية مجموعة هما مع بعض تصير
+
+667
+01:00:16,200 --> 01:00:25,180
+AC-BD زائد AD زائد BC في I الآن في عند الشغل اللي
+
+668
+01:00:25,180 --> 01:00:29,500
+بنسميها ال conjugateالـ Conjugate الكمبليكس نمبر
+
+669
+01:00:29,500 --> 01:00:33,880
+هو عبارة عن نفس أو نفس الرقم المركب لكن مع تغيير
+
+670
+01:00:33,880 --> 01:00:39,880
+قيمة التخيلية الـ Conjugate مصطلح كـ Conjugate ما
+
+671
+01:00:39,880 --> 01:00:46,040
+بديش أقولك المعكوس، تمام؟ لكن هو المعكوس القيمة
+
+672
+01:00:46,040 --> 01:00:54,480
+التخيلية في الرقم المركب هي الرقم A زائد Bi A زائد
+
+673
+01:00:54,480 --> 01:00:55,540
+Bi
+
+674
+01:00:57,540 --> 01:01:01,500
+الـ conjugate تبعته انك تروح على القيمة التخيلية
+
+675
+01:01:01,500 --> 01:01:10,660
+وتغير إشارتها a-bi معناته ال conjugate للرقم هذا
+
+676
+01:01:10,660 --> 01:01:18,720
+هى تمام؟ لو فكرنا نضرب الرقم في ال conjugate تبعته
+
+677
+01:01:18,720 --> 01:01:25,200
+بخلص من القيمة التخيلية a زائد bi بدي أضرب فيه a
+
+678
+01:01:25,200 --> 01:01:28,610
+ناقص biبطبق عليه القانون الدرب السابق اللي احنا
+
+679
+01:01:28,610 --> 01:01:37,230
+اشتغلنا عليه a في a a تربيع a في bi ناقص bi a ناقص
+
+680
+01:01:37,230 --> 01:01:50,250
+a bi bi في a b ai مش قابلة كتير bi في سالب bi سالب
+
+681
+01:01:50,250 --> 01:01:57,110
+b تربيع i تربيع ال i تربيع قيمتها سلب واحدماتوا A
+
+682
+01:01:57,110 --> 01:02:03,550
+تربيع ناقص B تربيع مضروبة في ناقص واحد الناقص مع
+
+683
+01:02:03,550 --> 01:02:08,890
+الناقص في ضرب تصير موجب تصير A تربيع زائد B تربيع
+
+684
+01:02:08,890 --> 01:02:14,990
+وبالتالي ال conjugate هو عبارة عن تغيير قيمة
+
+685
+01:02:14,990 --> 01:02:19,030
+القيمة أو تغيير إشارة المركبة التخيلية للرقم ولو
+
+686
+01:02:19,030 --> 01:02:23,750
+ضربتهم مع بعض بيديل القيمة مجموعة التربيعات القيمة
+
+687
+01:02:23,750 --> 01:02:29,730
+الحقيقية اللي موجودة عندهمالـ .. في الأعداد
+
+688
+01:02:29,730 --> 01:02:34,970
+التخيلية زي ما شوفتها قبل شوية على الرسمة النقطة
+
+689
+01:02:34,970 --> 01:02:40,630
+عشان تنجلها من مكان لمكان اضرب فياش في سالب واحد
+
+690
+01:02:40,630 --> 01:02:46,170
+او في واحد او في اضرب في I وربع ال I زي ما بدك او
+
+691
+01:02:46,170 --> 01:02:49,810
+ضاعف ال اضرب في I اي تربيع اي تكعيب الى اخره في
+
+692
+01:02:49,810 --> 01:02:53,710
+الاخرش هتصير عندك النقطة تعال هنا هي النقطة هذه
+
+693
+01:02:53,710 --> 01:03:01,000
+اتنينناقص I ايه شحن اتنين ناقص I اتنين ناقص واحد
+
+694
+01:03:01,000 --> 01:03:06,220
+في I مصبوط لو انا بدى اضربها في I لو ضربت العدد
+
+695
+01:03:06,220 --> 01:03:17,160
+كله هذا ضرب I هتصير اتنين I مركبة تخيلية ناقص I في
+
+696
+01:03:17,160 --> 01:03:25,860
+I ناقص I تربيع وال I تربيعنقص واحد فهتصير عندي
+
+697
+01:03:25,860 --> 01:03:31,980
+واحد زائد اتنين I لو
+
+698
+01:03:31,980 --> 01:03:37,880
+أخدت القيمة هذه وضربتها مرة في I هتصير
+
+699
+01:03:37,880 --> 01:03:47,480
+في عندي I زائد اتنين I تربيع ال
+
+700
+01:03:47,480 --> 01:03:53,390
+I تربيع نقص نقص واحد نقص واحد في اتنينهتصير عندى
+
+701
+01:03:53,390 --> 01:04:01,590
+ناقص اتنين زائد I ناقص اتنين زائد I هذه لاحظ انه
+
+702
+01:04:01,590 --> 01:04:04,510
+فعليا جاعدة ال I هي اللى بتحدد ال position كل ما
+
+703
+01:04:04,510 --> 01:04:08,290
+بدره في I بتحدد ال position تابعة في النقلة على خط
+
+704
+01:04:08,290 --> 01:04:12,910
+الأعداد اللى موجودة عندها و لو أنا بالضبط و دائما
+
+705
+01:04:12,910 --> 01:04:20,510
+بتنقل الزاوية بمقدار تسعين درجةبتنقل النقطة 90
+
+706
+01:04:20,510 --> 01:04:24,510
+درجة مش احنا قبل شوية لما قلتلك ال I جذر ال I جذر
+
+707
+01:04:24,510 --> 01:04:27,430
+نقص واحد اللي هي ال I من وين اجت؟ قلتلك لما ضرب ..
+
+708
+01:04:27,430 --> 01:04:32,090
+جينا ننقل الرقم 180 درجة ما تمتش تمام؟ وصلت على نص
+
+709
+01:04:32,090 --> 01:04:36,250
+الطريق وعلجت فوق الأعداد تخيلناها أيك وبناء عليه
+
+710
+01:04:36,250 --> 01:04:42,010
+الآن كل ما انا بضرب في I بنقل النقطة مقدار 90 درجة
+
+711
+01:04:43,120 --> 01:04:45,620
+عشان هيك لما كنت بدربها في سالب واحد اللي هي I
+
+712
+01:04:45,620 --> 01:04:49,720
+تربيع هي ضربتها I كان وضربتها كمان مرة يعني في I
+
+713
+01:04:49,720 --> 01:04:53,780
+تربيع او لو انا اجيت على هذه مباشرة يا شباب وضربت
+
+714
+01:04:53,780 --> 01:04:58,380
+في I تربيع اللي هي سالب واحد صح؟ ايش هذي هتصير؟
+
+715
+01:04:58,380 --> 01:05:05,300
+سالب اتنين زائد I هيها على النقطة هذه مية و تمانين
+
+716
+01:05:05,300 --> 01:05:07,880
+درجة بين النقطين الموجودة عندنا
+
+717
+01:05:11,880 --> 01:05:16,360
+الـ Complex Number هي كانت النقطة الإنطلاقة الأولى
+
+718
+01:05:16,360 --> 01:05:19,680
+نحو الـ Cartesian Coordinates احنا عادة بنمثل الـ
+
+719
+01:05:19,680 --> 01:05:23,260
+Cartesian Coordinates XY Ordered Pairs هنتكلم
+
+720
+01:05:23,260 --> 01:05:26,700
+عليها في حينها و هي اكتكافة فعليا لأن الـ
+
+721
+01:05:26,700 --> 01:05:30,340
+Imaginary Bar أو الـ Axis ماكانش موجود إلا بعد
+
+722
+01:05:30,340 --> 01:05:34,680
+الأعداد المركبة و من ثم صارت عند الأعداد المركبة
+
+723
+01:05:34,680 --> 01:05:38,940
+ما هدتلي للـ Cartesian Plane آخر شغلة أو آخر slide
+
+724
+01:05:38,940 --> 01:05:46,130
+عندهافي عندى مصطلح اسمه infinity او لانهاية ايش
+
+725
+01:05:46,130 --> 01:05:50,410
+اللانهاية او ال infinity ان مجموعة الأرقام اللى
+
+726
+01:05:50,410 --> 01:05:53,650
+عندى هذه unbounded مالهاش حدود ايش يعني مالهاش
+
+727
+01:05:53,650 --> 01:06:00,070
+حدود مابتجفش عند رقم الان لو احنا جينا سألناك ايش
+
+728
+01:06:00,070 --> 01:06:05,950
+بعد المليون مليون و واحد طب بعد الميت مليون بعد
+
+729
+01:06:05,950 --> 01:06:09,530
+تسعمية وتسعة وتسعين مليون وتسعمية وتسعة وتسعين الف
+
+730
+01:06:10,280 --> 01:06:14,180
+وتسعمية تسعة وتسعين اش في عندي؟ في عندي دخلت على
+
+731
+01:06:14,180 --> 01:06:19,140
+المليار وبالتالي كل ما بصي لرقم بلاقي ان في عندي
+
+732
+01:06:19,140 --> 01:06:22,880
+في حاجة جديدة وهذه نسميها احنا unbounded sets
+
+733
+01:06:22,880 --> 01:06:27,300
+المجموعات هذه ايش؟ مالهاش حدود وبنقول عنها
+
+734
+01:06:27,300 --> 01:06:31,680
+infinity وين الرمز تبعها؟ راح؟ طب انا حاطيت الرمز
+
+735
+01:06:31,680 --> 01:06:34,900
+على ال slides اللي هو التمانية اللي مبطوحة هذه
+
+736
+01:06:38,280 --> 01:06:42,220
+الله يسهل عليك ويرحمك يا أبو مصطفى الشتابي طيب من
+
+737
+01:06:42,220 --> 01:06:45,820
+هو مدرسنا في اللغة الإنجليزية في الثانوية العامة
+
+738
+01:06:45,820 --> 01:06:50,760
+كان كلمة مبطوح يعني التلاسي بالسنة فكان في مجموعة
+
+739
+01:06:50,760 --> 01:06:55,120
+من الشباب الله يسهل عليهم كان يقولوا فلان مبطوح
+
+740
+01:06:55,120 --> 01:06:56,640
+خليك قاعد كل بزر في نهاية الصف
+
+741
+01:07:04,630 --> 01:07:08,650
+في نهاية الشبتر حطيت لك مجموعة من ال exercises
+
+742
+01:07:08,650 --> 01:07:13,170
+بسيطات مراجعة مش هحللك ايه هم اكيد ال style موجود
+
+743
+01:07:13,170 --> 01:07:18,790
+عندك على ال model حلل لهدولحلهم هاي سؤالين بسيطات
+
+744
+01:07:18,790 --> 01:07:20,890
+هاي في عندك شوف مين فيهم rational ومين فيهم
+
+745
+01:07:20,890 --> 01:07:24,630
+الرational شوف افحص هده هده primes مين فيهم
+
+746
+01:07:24,630 --> 01:07:27,510
+الprime ولا لأ هاي في عندك نقطة عملها rotate
+
+747
+01:07:27,510 --> 01:07:31,470
+بتسعين درجة rotate بتسعين درجة ايش يعني اضرب في I
+
+748
+01:07:31,470 --> 01:07:35,090
+rotate مية وتمانين درجة في I ترجية اللي هي ناقص
+
+749
+01:07:35,090 --> 01:07:38,870
+واحد وهي هتلي conjugate للأرقام اللي موجودة ها
+
+750
+01:07:38,870 --> 01:07:41,230
+والله يعطيكوا العافية بيكون احنا هيك خلصنا ال
+
+751
+01:07:41,230 --> 01:07:41,890
+chapter الأول
+
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/CJy6ff6uR9c.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/CJy6ff6uR9c.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c6d38a3f1cfca6ca259016f26179f2600df639cc
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/CJy6ff6uR9c.srt
@@ -0,0 +1,2655 @@
+1
+00:00:21,290 --> 00:00:23,430
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:23,430 --> 00:00:26,310
+اليوم إن شاء الله يا شباب هنكمل في موضوع ال
+
+3
+00:00:26,310 --> 00:00:30,070
+vectors كنا حاكينا المحاضرة الماضية أنا بحتاج لل
+
+4
+00:00:30,070 --> 00:00:34,690
+vectors عشان الـ object اللي أنا بدي أمثله بيحتاج 
+
+5
+00:00:34,690 --> 00:00:40,610
+لأكثر من قيمة وضربنا أمثلة على الصوت والرياح
+
+6
+00:00:40,610 --> 00:00:44,450
+والقوة بشكل عام أنا دائماً بحتاج لقيمة
+
+7
+00:00:47,270 --> 00:00:53,870
+وقيمة ثانية تدلّ على الاتجاه وضربنا أمثلة كثيرة
+
+8
+00:00:53,870 --> 00:00:58,130
+وكانت الخلاصة أن أي vector أنا هيكون فيه عندي أكثر
+
+9
+00:00:58,130 --> 00:01:04,910
+من قيمة وبكتبه على صورة row أو column كجزء من
+
+10
+00:01:04,910 --> 00:01:09,050
+مصفوفة إما صف أو عمود واتفقنا أن الصورة العامة لل
+
+11
+00:01:09,050 --> 00:01:14,050
+vector هنكتبها بالشكل هذا as row vector ونحط له
+
+12
+00:01:14,050 --> 00:01:18,490
+transpose والـ vector هذا هصير استخدامه حسب ال
+
+13
+00:01:18,490 --> 00:01:23,650
+context للمعادلة أو للشغل اللي عندي وقلنا هذا ال
+
+14
+00:01:23,650 --> 00:01:28,630
+vector R يمثل 2D vector لما أنا بتكلم على 3D 
+
+15
+00:01:28,630 --> 00:01:36,610
+vector بصير بتكلم أن الـ R تساوي X و Y و Z وال
+
+16
+00:01:36,610 --> 00:01:40,630
+Transpose ويعني أنا أصلاً في عندي ثلاث مركبات لل
+
+17
+00:01:40,630 --> 00:01:44,990
+vector اللي موجود واتفقنا أي vector في الـ 2D أو في
+
+18
+00:01:44,990 --> 00:01:56,450
+الـ 3D  الـ tail بتمثل X1 أو XL YL ويله head point
+
+19
+00:01:56,450 --> 00:02:03,650
+XH YH هذا في الـ 2D في الـ 3D حيث تنزد الإحداثية
+
+20
+00:02:03,650 --> 00:02:09,450
+الثالثة لـ Z وقلنا الـ magnitude أو طول الـ vector
+
+21
+00:02:09,450 --> 00:02:17,960
+هذا يساوي الجذر التربيعي للفرق ما بين النقطتين
+
+22
+00:02:17,960 --> 00:02:24,800
+تمام على كل المركبات Delta X تربيع زائد Delta Y
+
+23
+00:02:24,800 --> 00:02:28,520
+تربيع ولو كان في الـ 3D مش هيتغير حاجة بس بيبقى
+
+24
+00:02:28,520 --> 00:02:34,340
+بوضيف له الـ Z اللي موجودة إنّها وبعد هيك انتقلنا
+
+25
+00:02:35,910 --> 00:02:38,790
+بدأنا نتكلم على العمليات الحسابية على الـ vector مع
+
+26
+00:02:38,790 --> 00:02:42,270
+بدايتها وقلت أنا بتكلم على الـ scaling للـ vector
+
+27
+00:02:42,270 --> 00:02:46,830
+أنه أنا بدي اضرب الـ vector بـ real number تمام؟ و
+
+28
+00:02:46,830 --> 00:02:50,650
+مفهومها أنه أنا باخد الـ real number هذه وبضربها
+
+29
+00:02:50,650 --> 00:02:54,930
+في كل عناصر الـ vector اللي موجود عنديها واتفقنا
+
+30
+00:02:54,930 --> 00:03:02,690
+أنه ما بيجوز لي أروح أجمع scalar value لمين؟ للـ vector 
+
+31
+00:03:02,690 --> 00:03:06,650
+لأنه في عندي incompatible type نوعين مختلفين من
+
+32
+00:03:06,650 --> 00:03:10,810
+البيانات غير متوافقين وبالتالي ما أقدرش أجمع الاثنين
+
+33
+00:03:10,810 --> 00:03:14,730
+للـ vector اللي عندي هنبدأ اليوم إن شاء الله تعالى 
+
+34
+00:03:14,730 --> 00:03:21,230
+بالعمليات الرياضية على الـ vectors وأولها نتكلم على
+
+35
+00:03:21,230 --> 00:03:28,960
+الجمع والطرح لو كان في عندي two vectors R و S وبدي 
+
+36
+00:03:28,960 --> 00:03:32,540
+أجمعهم من بعض أو بدي أجمعهم لبعض المنطق اللي بقول
+
+37
+00:03:32,540 --> 00:03:38,060
+أنه بما أنه compatible type تمام أن أقدر أجمعهم و
+
+38
+00:03:38,060 --> 00:03:40,600
+زي ما اتعلمنا أنه لما أنا باجمع مصفوفتين اللي لهم
+
+39
+00:03:40,600 --> 00:03:45,260
+نفس الرتبة باجمع كل عنصر مع العنصر المقابل له
+
+40
+00:03:45,260 --> 00:03:52,880
+وبالتالي أنا الآن في جمع الـ vectors هاجمع XR مع XS 
+
+41
+00:03:52,880 --> 00:04:00,750
+YR مع YS زد R مع ZS وبالتالي أنا بحصل على vector
+
+42
+00:04:00,750 --> 00:04:08,010
+جديد تمام؟ اللي هو R زائد S يساوي XR زائد XS YR زائد 
+
+43
+00:04:08,010 --> 00:04:16,850
+YS زد R زائد ZS وعملية الطرح نفس الكلام وبما أنه
+
+44
+00:04:16,850 --> 00:04:24,130
+عملية الجمع عملية إبدالية معناته R زائد S تساوي S 
+
+45
+00:04:24,130 --> 00:04:28,110
+زائد R وبما أن عملية الطرح عملية غير إبدالية 
+
+46
+00:04:28,110 --> 00:04:33,830
+معناته R ناقص S لا تساوي S ناقص R
+
+47
+00:04:43,360 --> 00:04:47,120
+ماذا يعني جمع المتجهين؟ ايش أنا بستفيد من جمع
+
+48
+00:04:47,120 --> 00:04:50,600
+المتجهات؟ أو ايش يعني بجمع المتجهين؟ لما يكون في
+
+49
+00:04:50,600 --> 00:04:53,100
+عندي two scalars بقيتش بقول والله أنا مثلاً بتكلم 
+
+50
+00:04:53,100 --> 00:04:57,040
+على أوزان عندي صندوقين وزن كل واحد فيهم عشرة كيلو
+
+51
+00:04:57,040 --> 00:05:02,300
+المحصلة للصندوقين هدول عشرين طب لما أنا بتكلم على
+
+52
+00:05:02,300 --> 00:05:06,980
+two vectors وبدي أجمعهم لبعض ايش مفهوم الـ two
+
+53
+00:05:06,980 --> 00:05:11,420
+vectors؟ أو الـ summation على الـ two vectors أولاً
+
+54
+00:05:11,420 --> 00:05:20,080
+بدنا مش ننسى أنه لما أنا جمعت الـ R زائد الـ S كان 
+
+55
+00:05:20,080 --> 00:05:29,180
+الناتج vector مظبوط كان الناتج vector R زائد S ال
+
+56
+00:05:29,180 --> 00:05:33,280
+vector هذا نقطة البداية تبعته مين؟ ونقطة نهاية ال
+
+57
+00:05:33,280 --> 00:05:39,710
+tail والـ head مين؟ الجديد طب وين ما كانوا؟ أيوة، بدي
+
+58
+00:05:39,710 --> 00:05:44,370
+أشبك نقطتين، نقطتين مين؟  تعني البداية، تمام، ما
+
+59
+00:05:44,370 --> 00:05:49,390
+تنساش إنه احنا في الآخر صرنا نتكلم إنه أنا بغض
+
+60
+00:05:49,390 --> 00:05:53,130
+النظر عن نقطة البداية والنهاية للـ vector لما بقول
+
+61
+00:05:53,130 --> 00:06:00,710
+R تساوي اثنين وأربعة وخمسة وقلت لك هات الـ magnitude تبع
+
+62
+00:06:00,710 --> 00:06:07,120
+الـ R مباشرة كنت بقول له تحت الجذر اثنين تربيع أربعة 
+
+63
+00:06:07,120 --> 00:06:11,240
+تربيع زائد خمسة تربيع ولا لأ طيب يا شباب كم vector
+
+64
+00:06:11,240 --> 00:06:14,820
+أنا ممكن يكون موجود عندي بنفس الـ magnitude هذه 
+
+65
+00:06:14,820 --> 00:06:21,760
+كثير infinite ما لا نهاية طيب نقطة بدايتهم وين مع 
+
+66
+00:06:21,760 --> 00:06:24,760
+كل نقطة ممكن تبدأ vector اللي نفس الـ magnitude
+
+67
+00:06:24,760 --> 00:06:30,460
+اللي عندي هنا هذا الكلام لما أنا بدي أصيغه على two
+
+68
+00:06:30,460 --> 00:06:35,220
+vectors وبدي أجمعهم بغض النظر عن وين الـ two
+
+69
+00:06:35,220 --> 00:06:39,770
+vectors بدي احط في بالي عشان أقدر أنا أجمع two
+
+70
+00:06:39,770 --> 00:06:46,030
+vectors بدي أتخيلهم كالتالي الـ tail تبعت التاني هي
+
+71
+00:06:46,030 --> 00:06:51,710
+نفس الـ head تبعت الأول يعني هاي بدي أقول لك الآن
+
+72
+00:06:51,710 --> 00:06:57,830
+أنا في عندي هنا S هاي S as a vector وهي في عندي
+
+73
+00:06:57,830 --> 00:07:02,790
+أنا ايش الـ R as a vector وبدي أروح أجمعهم مع بعض
+
+74
+00:07:02,790 --> 00:07:06,070
+ال
+
+75
+00:07:06,070 --> 00:07:14,370
+vector الناتج عشان تتخيله صح بدك تحط tail الثاني على 
+
+76
+00:07:14,370 --> 00:07:22,170
+head الأول يعني بيصير ده هيكد هي الـ R وهي
+
+77
+00:07:22,170 --> 00:07:27,230
+الـ S الآن صار فيها تخيل الـ vector الناتج الـ vector
+
+78
+00:07:27,230 --> 00:07:32,590
+الناتج الـ tail تبعته هي الـ tail تبعت الـ R والـ
+
+79
+00:07:32,590 --> 00:07:38,550
+head تبعت الـ S R 
+
+80
+00:07:38,550 --> 00:07:43,810
+زائد S يا دكتور هذا الكلام أنت كيف بتقوله ايش
+
+81
+00:07:43,810 --> 00:07:46,410
+بيسوي أنت جاي الـ two vectors هدول كل واحد في
+
+82
+00:07:46,410 --> 00:07:55,120
+الشجرة الـ vector هذا بيضغرك أو بيأثر عليك أي شيء
+
+83
+00:07:55,120 --> 00:07:59,280
+لو أنا نقلته من مكانه بنفس الـ magnitude ونفس
+
+84
+00:07:59,280 --> 00:08:04,370
+الاتجاه وحطيته هنا بقيتش ايه؟ المنطقي بيقول لا و
+
+85
+00:08:04,370 --> 00:08:09,190
+لا لا وبالتالي أنا عشان أقدر أتخيل أزيح واحد من
+
+86
+00:08:09,190 --> 00:08:12,970
+الاثنين بحيث أنّه .. شوية خلينا نكمل يا صغاري التقي
+
+87
+00:08:12,970 --> 00:08:16,410
+أو أخلي الـ two vectors اللي تقاطعوا في نقطة واحدة بحيث
+
+88
+00:08:16,410 --> 00:08:20,630
+أن الـ tail تبعت الثاني تلتقي مع الـ head تبعت الأول
+
+89
+00:08:20,630 --> 00:08:27,710
+نعم مش اتحاد عملية جمع الاتحاد في المجموعات احنا
+
+90
+00:08:27,710 --> 00:08:30,450
+بنتكلم رياضيات الآن بقيتش تدير بالك على ال
+
+91
+00:08:30,450 --> 00:08:34,010
+expression اللي بتستخدمه عملية جمع لـ two vectors
+
+92
+00:08:34,010 --> 00:08:40,050
+طيب تمام يا شباب؟ كمان مرة بنرجع بنقول إذا أنا
+
+93
+00:08:40,050 --> 00:08:44,530
+بقول هذا الـ S اللي حجمها ثلاثة أو الـ magnitude 
+
+94
+00:08:44,530 --> 00:08:50,150
+تبعته ثلاثة ممكن تكون هنا نفس الطول وممكن تكون
+
+95
+00:08:50,150 --> 00:08:55,980
+هنا وممكن تكون هنا مش فارقة كثير معايا طالما أنّه
+
+96
+00:08:55,980 --> 00:09:00,540
+بأحافظ على نفس الزاوية ونفس الطول .. مصدق ولا لا؟
+
+97
+00:09:00,540 --> 00:09:04,620
+الآن وين المشكلة؟ إذا كانت الـ R هنا اللي أنا بدي
+
+98
+00:09:04,620 --> 00:09:11,160
+أجمعها .. أربع عناصر .. R أو كانت هنا .. أو كانت
+
+99
+00:09:11,160 --> 00:09:18,010
+هنا .. ايش فارقة معايا؟ ولا حاجة لأن هو فعلياً ال
+
+100
+00:09:18,010 --> 00:09:21,650
+position تبعه لحتى اللحظة أنا ما اتكلمت عليه مطلقاً
+
+101
+00:09:21,650 --> 00:09:25,690
+الـ space عندك أو الـ plane عندك مسطح في الـ 2D أنت
+
+102
+00:09:25,690 --> 00:09:30,070
+حرّ بس المهم الـ magnitude تضل كما هي والاتجاه
+
+103
+00:09:30,070 --> 00:09:34,050
+ما يتغيرش كل اللي سويته أنا روحت اشتغلت هنا بما أن 
+
+104
+00:09:34,050 --> 00:09:38,990
+هذا هو هذا تمام؟ وهذا هو هذا معناته أنا بقدر
+
+105
+00:09:38,990 --> 00:09:45,300
+أتكلم أنّه والله R زائد الـ S وبالتالي صار في إمكاني
+
+106
+00:09:45,300 --> 00:09:50,140
+أن أتخيل الـ vector الناتج وأهم شغلة في الـ vector
+
+107
+00:09:50,140 --> 00:09:55,120
+أعرف الـ tail point والـ head point مصدر ولا لأ؟
+
+108
+00:09:55,120 --> 00:09:58,580
+ليش؟ لأنّ بالـ tail والـ head بقدر أحدد الـ slope
+
+109
+00:09:58,580 --> 00:10:01,900
+تبعته والميل تبعته ومن ثم بقدر أرسم له أو أحدد له
+
+110
+00:10:01,900 --> 00:10:09,560
+زاوية أو اتجاه بشكل صحيح ممتاز
+
+111
+00:10:09,560 --> 00:10:14,080
+وكان هناك ايش بتساوي؟ نفس الكلام الآن لو كان هذا
+
+112
+00:10:14,080 --> 00:10:17,700
+هيك وهي الـ R علي بيسأل اللي بيقول لي هي الـ R والـ S 
+
+113
+00:10:17,700 --> 00:10:24,920
+عامل هيك نفس الكلام هي الـ S وهي الـ R القرن 
+
+114
+00:10:24,920 --> 00:10:32,900
+موازي ليل التاني على هد الأول وبالتالي 
+
+115
+00:10:32,900 --> 00:10:40,180
+الناتج هي اتجاهه R زائد S تمامي عليه؟ ما لكش تدخل 
+
+116
+00:10:40,180 --> 00:10:44,380
+بالاتجاه أنت طالما هو حدد لك إياه الـ record أو أفضل
+
+117
+00:10:44,380 --> 00:10:48,600
+الـ vector الجديد الـ tail تبعته tail الأول والـ head
+
+118
+00:10:48,600 --> 00:10:50,700
+تبعته الـ head التاني
+
+119
+00:11:03,660 --> 00:11:07,860
+وصلت شباب على مالي في الجامعة في عملية إقبال راحي
+
+120
+00:11:07,860 --> 00:11:16,940
+نفس الـ gesture المفروض تكون مع الفارق أن R ناقص S 
+
+121
+00:11:16,940 --> 00:11:27,500
+هي تساوي R زائد سالب واحد مضروبة في S سالب واحد شو
+
+122
+00:11:27,500 --> 00:11:32,620
+يعني شباب؟ سالب شو يعني سالب مع الـ vector؟ Rotation
+
+123
+00:11:32,620 --> 00:11:37,880
+180 درجة لمن؟ للـ Victory يعني عكس اتجاه الـ vector
+
+124
+00:11:37,880 --> 00:11:42,560
+اللي موجودة عندهنا وكأنه السالب واحد ما تفهميش إنه
+
+125
+00:11:42,560 --> 00:11:46,200
+بيدخل السالب واحد واضربها في كل العناصر وكأنه
+
+126
+00:11:46,200 --> 00:11:50,400
+السالب واحد هي عبارة عن العامل المشترك اللي أخذته 
+
+127
+00:11:50,400 --> 00:11:54,380
+من one row، مصبوط ولا لا؟ من مقطعة واحدة أو من كل
+
+128
+00:11:54,380 --> 00:11:58,570
+واحد وبالتالي صرت لو أنا ضربت السالب واحد هذه في 
+
+129
+00:11:58,570 --> 00:12:04,350
+one ما بغيّرش into determinant anyway فالآن السالب
+
+130
+00:12:04,350 --> 00:12:06,450
+احنا متفقين من اليوم اللي اتكلمنا فيه على الـ complex 
+
+131
+00:12:06,450 --> 00:12:11,550
+number هي بتعمل rotation 180 درجة بدي أطبّقها عند
+
+132
+00:12:11,550 --> 00:12:20,290
+الجمع هنا عفواً المفروض هاي الـ R وال
+
+133
+00:12:20,290 --> 00:12:25,860
+S هيطلع هيك هي S وهي الـ R احنا اتفقنا هذه
+
+134
+00:12:25,860 --> 00:12:32,400
+العملية R زائد S طب عملية الطرح معناته بتاخد نفس
+
+135
+00:12:32,400 --> 00:12:39,440
+الـ magnitude بعكس الاتجاه اللي موجود ناقص S وبتكمل 
+
+136
+00:12:39,440 --> 00:12:45,480
+ايش؟ نفس الشغل معناته هذا R ناقص S as a vector
+
+137
+00:12:45,480 --> 00:12:49,940
+معناته صار أنا بإمكاني أتخيل عملية الطرح وعملية 
+
+138
+00:12:50,660 --> 00:12:54,300
+الجمع في الـ vectors واش الـ vector الناتج واين
+
+139
+00:12:54,300 --> 00:12:59,200
+اتجاهه في أي مشكلة حتى اللحظة يا شباب الأمور ماشية
+
+140
+00:12:59,200 --> 00:13:08,840
+في 
+
+141
+00:13:08,840 --> 00:13:15,620
+عندي مصطلح بسميه الـ position vector
+
+142
+00:13:15,620 --> 00:13:20,580
+هو عبارة عن الـ vector اللي بتكون الـ tail تبعته 
+
+143
+00:13:20,580 --> 00:13:26,220
+صفر وصفر  الـ origin point النقطة نقطة الأصل الآن
+
+144
+00:13:26,220 --> 00:13:30,520
+كل vector احنا متفقين أن كل vector فيه قلو tail
+
+145
+00:13:30,520 --> 00:13:37,020
+point وفيه قلو head point إذا كانت الـ tail تبعتي
+
+146
+00:13:37,020 --> 00:13:44,570
+00 في الـ 2D أو Zero وZero وZero في الـ 3D تمام 
+
+147
+00:13:44,570 --> 00:13:55,430
+الـ vector اللي مرسوم هنا بنسميه position vector ايش 
+
+148
+00:13:55,430 --> 00:14:00,130
+يعني position vector أن
+
+149
+00:14:00,130 --> 00:14:05,110
+المتجه ببقى أو انطلق من نقطة الأصل هذه واحد اثنين
+
+150
+00:14:06,350 --> 00:14:11,850
+أن الـ delta X والـ delta Y والـ delta Z لهم الصفر تساوي
+
+151
+00:14:11,850 --> 00:14:16,270
+الـ head تساوي الـ head وبالتالي أنا بعمل
+
+152
+00:14:16,270 --> 00:14:20,930
+representation للـ vector فقط منين بالـ head point
+
+153
+00:14:20,930 --> 00:14:24,530
+يعني الآن لو أنا أجيب وقلت لك أنا في عندي الـ P
+
+154
+00:14:24,530 --> 00:14:35,590
+تساوي ثلاثة وأربعة وخمسة as a vector مباشرة
+
+155
+00:14:35,590 --> 00:14:40,810
+مباشرة إذا أنا قلت لك position vector الـ tail 0000
+
+156
+00:14:40,810 --> 00:14:44,290
+وهذه ايش؟ هي عبارة عن الـ head وطبعا الـ magnitude
+
+157
+00:14:44,290 --> 00:14:54,770
+تبعها ثلاثة تربيع وأربعة تربيع وخمسة تربيع ليش؟ لأن 
+
+158
+00:14:54,770 --> 00:14:59,370
+ما فيش داعي ثلاثة نقل صفر ثلاثة أربعة نقل صفر أربعة
+
+159
+00:14:59,370 --> 00:15:04,930
+خمسة نقل صفر خمسة وبالتالي أنا بحافظ على المصطلح
+
+160
+00:15:04,930 --> 00:15:09,770
+اللي عندي هنا وكأن دائما بقول لي لما اتكلمنا على
+
+161
+00:15:09,770 --> 00:15:14,510
+spherical system أو polar system هو كنت أنا بتكلم
+
+162
+00:15:14,510 --> 00:15:20,540
+فعليا على vector ولا لأ طوله الـ R وبيبدأ من نقطة 
+
+163
+00:15:20,540 --> 00:15:25,640
+الصفر الـ head point تبعته اللي كانت X وY على الـ
+
+164
+00:15:25,640 --> 00:15:28,440
+system على الـ cartesian system ولا لأ ومن ثم
+
+165
+00:15:28,440 --> 00:15:32,260
+circle  ترابلده اتكلم أن الـ vector هذا بيرسم دائرة
+
+166
+00:15:32,260 --> 00:15:36,740
+في الـ 2D space في الـ 2D عفوا plane لو أنا حقته في
+
+167
+00:15:36,740 --> 00:15:42,840
+الـ 3D هتصير في عندي خيار أن اتكلم على cylinder  وأنا 
+
+168
+00:15:42,840 --> 00:15:48,550
+أو اتكلم على sphere كرة حسب الاتجاه اللي بتتحرك فيه 
+
+169
+00:15:48,550 --> 00:15:58,610
+نصف القطر اللي موجود عنه أو الـ vector هذا مثال
+
+170
+00:15:58,610 --> 00:16:02,230
+ثاني بقول هاي في عندي position vector
+
+171
+00:16:02,230 --> 00:16:06,530
+وهي الـ tail تبعته وبالتالي بقدر أحسب الـ 
+
+172
+00:16:06,530 --> 00:16:13,460
+magnitude بشكل مباشر طيب في عندي مصطلح ثالث أو
+
+173
+00:16:13,460 --> 00:16:18,560
+مصطلح جديد نسميه unit vector متجه الوحدة متجه 
+
+174
+00:16:18,560 --> 00:16:24,400
+الوحدة متجه الوحدة هو عبارة عن متجه الـ magnitude
+
+175
+00:16:24,400 --> 00:16:31,980
+تبعته one unit واحد الـ magnitude تبعته واحد مثل لو 
+
+176
+00:16:31,980 --> 00:16:36,800
+قلت لك أنا في عندي متجه I يساوي
+
+177
+00:16:36,800 --> 00:16:42,400
+واحد صفر صفر الـ magnitude تبعتها تساوي الجذر
+
+178
+00:16:42,400 --> 00:16:47,120
+التربيعي واحد تربيع زائد صفر تربيع زائد صفر تربيع
+
+179
+00:16:47,120 --> 00:16:52,280
+تساوي واحد بدي أسأل سؤال الـ vector I هذا يا شباب
+
+180
+00:16:52,280 --> 00:17:00,340
+وين اتجاهه؟ وين اتجاهه؟ على محور السينات هذا مطابق 
+
+181
+00:17:00,340 --> 00:17:07,040
+تماما على الـ X axis بس، مصبوط؟ لو أنا أجيت وقلت لك
+
+182
+00:17:08,600 --> 00:17:15,660
+في عندي الـ J كذلك هي عبارة عن unit vector على
+
+183
+00:17:15,660 --> 00:17:20,680
+الـ Y وقوله برضه واحد وقلت لك في عندي K vector 
+
+184
+00:17:20,680 --> 00:17:25,240
+ما فيش 
+
+185
+00:17:25,240 --> 00:17:30,520
+مشكلة يعني ممكن أن الـ vector يتبع بك مع مين؟ مع
+
+186
+00:17:30,520 --> 00:17:35,120
+المحور اللي عندي وبما أن هو متقابق بما أن بقدر أقول
+
+187
+00:17:35,120 --> 00:17:38,040
+أن الـ I والـ J والـ K هي عبارة عن position vector
+
+188
+00:17:38,040 --> 00:17:42,240
+وليش وراك هو بقدر أقول اه بقدر واحدة واحدة وبدأ من
+
+189
+00:17:42,240 --> 00:17:47,860
+الـ origin point وين المشكلة في الموضوع؟ تمام؟ الـ 
+
+190
+00:17:47,860 --> 00:17:53,700
+vector
+
+191
+00:17:53,700 --> 00:17:57,400
+أو متجه الوحدة هيلزمني كمان شوية لما اتكلم على ضرب 
+
+192
+00:17:57,400 --> 00:18:01,040
+المتجهات هيخدمني.. هيخدمني كويس في موضوع ضرب
+
+193
+00:18:01,040 --> 00:18:07,260
+المتجهات لكن قبل ما نتكلم على ضرب المتجهات وما
+
+194
+00:18:07,260 --> 00:18:11,520
+زلنا نتكلم في متجه الوحدة لو كان في عندي vector 
+
+195
+00:18:11,520 --> 00:18:17,800
+طوله واحد أو عفوا الـ component تبعته واحد واثنين
+
+196
+00:18:17,800 --> 00:18:23,040
+وثلاثة واحد واثنين وثلاثة هل بقدر أجيب منه أنا
+
+197
+00:18:23,040 --> 00:18:29,480
+متجه وحدة؟ كيف هتصفر المحور معناته غيرت اتجاهه 
+
+198
+00:18:29,480 --> 00:18:33,540
+أنت خربت بياره للمتجهة صح؟ أنا قاعد بقول لك في عندي
+
+199
+00:18:33,540 --> 00:18:40,320
+vector في الـ 3D واحد واثنين وثلاثة تمام؟ يعني 
+
+200
+00:18:40,320 --> 00:18:45,200
+صار اتجاهه هيك عامل في الـ 3D الآن هل بقدر أنا
+
+201
+00:18:45,200 --> 00:18:49,020
+أحصل من الـ vector هذا أو أصغر الـ vector هذا بحيث
+
+202
+00:18:49,020 --> 00:18:55,000
+أنه يصير الـ magnitude تبعته واحد اضربه في نصف غلط مش
+
+203
+00:18:55,000 --> 00:19:00,320
+السؤال هذا ليست جدوى ثانية كيف تعمله scaling بإيش؟
+
+204
+00:19:00,320 --> 00:19:06,720
+ايوا الـ scaling هي الحل بس بإيش تعمله scaling؟ أو 
+
+205
+00:19:06,720 --> 00:19:13,080
+الصفر؟ حرام عليك، ممكن تعمله صفر فكر،
+
+206
+00:19:13,080 --> 00:19:17,900
+الآن يا شباب، حيث أن أنا عندي قيمتين، واحد أو ثلاث
+
+207
+00:19:17,900 --> 00:19:25,340
+قيم عشان يصير مجموعهم واحد عشان يصير مجموعهم واحد،
+
+208
+00:19:25,340 --> 00:19:26,140
+ايش بدي أسوي؟
+
+209
+00:19:31,850 --> 00:19:36,370
+مش صحيح كلامك نعم أجمعهم وأجمعهم على عددهم طيب و
+
+210
+00:19:36,370 --> 00:19:40,410
+هيضطرني لجي واحد ايوا الآن لو أنا أجيت وقلت واحد 
+
+211
+00:19:40,410 --> 00:19:45,270
+زائد واحد على ستة زائد اثنين على ستة زائد ثلاثة
+
+212
+00:19:45,270 --> 00:19:49,410
+على ستة ايوا
+
+213
+00:19:49,410 --> 00:19:54,800
+جداش المجموع ستة على ستة واحد يعني وكأني قاعد الآن
+
+214
+00:19:54,800 --> 00:19:58,220
+اللي بيخدمني أن أعمل scaling هنا هي فعليا الـ
+
+215
+00:19:58,220 --> 00:20:01,320
+scaling اللي صارت بس جداش قيمة الـ scale اللي أنا
+
+216
+00:20:01,320 --> 00:20:04,540
+بدي أسويها ما ينفعش أقول نصف وآخذ قيمة عشوائية لأ
+
+217
+00:20:04,540 --> 00:20:10,720
+عشان تحصل على unit vector من أي vector بدك تضرب الـ
+
+218
+00:20:10,720 --> 00:20:14,560
+component تبعته في واحد على الـ magnitude تبع الـ 
+
+219
+00:20:14,560 --> 00:20:21,040
+vector هذا الآن أو عفوا تحولوا لنسبة سيبك من واحد 
+
+220
+00:20:21,040 --> 00:20:24,080
+على الـ magnitude اللي تتكلم فيها الآن تمام؟
+
+221
+00:20:24,080 --> 00:20:29,340
+تحولوا لنسبة الآن واحد على ستة تمام؟ واثنين على 
+
+222
+00:20:29,340 --> 00:20:32,780
+ستة وثلاثة على ستة لو جمعتهم مع بعض ستة على ستة
+
+223
+00:20:32,780 --> 00:20:36,740
+اللي هم هي واحد لأن فعليا أنا عندي أربعة عناصر بدهم
+
+224
+00:20:36,740 --> 00:20:40,800
+يصير كتلة واحدة المفروض كل عنصر من الأربعة هدول
+
+225
+00:20:40,800 --> 00:20:47,060
+يمثل نسبة من الأربعة عشان يمثل النسبة على أربعة مش 
+
+226
+00:20:47,060 --> 00:20:52,430
+بدهم يساوي أجسمه على أربعة بقيت على نسبة صحية الـ vector
+
+227
+00:20:52,430 --> 00:20:58,410
+اللي بتكلم عليه ايش ما كان ايش ما كان بدي أجسمه 
+
+228
+00:20:58,410 --> 00:21:02,910
+عليه أو بدي أعمله scaling مقدار واحد على الـ 
+
+229
+00:21:02,910 --> 00:21:07,050
+magnitude تبع الـ vector يعني الواحد هيك الآن واحد 
+
+230
+00:21:07,050 --> 00:21:10,330
+واثنين والثلاثة الـ vector تبعنا هذا R
+
+231
+00:21:10,330 --> 00:21:15,090
+الـ magnitude تبع الـ R تساوي الجذر التربيعي لواحد
+
+232
+00:21:15,090 --> 00:21:24,730
+زائد أربعة زائد تسعة جذر الـ 14 تقريبا 
+
+233
+00:21:27,050 --> 00:21:34,550
+ثلاثة فاصلة ثمانية من عشرة ستة فاصلة ثمانية من عشرة
+
+234
+00:21:34,550 --> 00:21:38,890
+ستة فاصلة ثمانية من عشرة ستة فاصلة ثمانية من عشرة ستة و
+
+235
+00:21:38,890 --> 00:21:40,150
+ثمانية من عشرة ستة فاصلة ثمانية من عشرة ستة فاصلة ثمانية
+
+236
+00:21:40,150 --> 00:21:42,670
+من عشرة ستة فاصلة ثمانية من عشرة ستة فاصلة ثمانية من عشرة
+
+237
+00:21:42,670 --> 00:21:44,110
+من عشرة ستة فاصلة ثمانية من عشرة ستة فاصلة ثمانية من عشرة
+
+238
+00:21:44,110 --> 00:21:48,730
+ستة فاصلة ثمانية من عشرة
+
+239
+00:21:48,730 --> 00:21:51,310
+ستة فاصلة ثمانية من عشرة ستة فاصلة ثمانية من عشرة ستة و
+
+240
+00:21:51,310 --> 00:21:52,310
+ثمانية من عشرة ستة و
+
+241
+00:22:17,150 --> 00:22:19,830
+الآن لو أخذت الـ R أنا هذا
+
+242
+00:22:25,190 --> 00:22:31,310
+على الـ magnitude تبعها تساوي واحد على ثلاثة فاصلة
+
+243
+00:22:31,310 --> 00:22:38,290
+أربعة سبعة اثنين على ثلاثة فاصلة سبعة أربعة عفوا
+
+244
+00:22:38,290 --> 00:22:44,230
+ثلاثة فاصلة أو سبعة أربعة الآن لو أنا سألتك الـ
+
+245
+00:22:44,230 --> 00:22:48,870
+vector هذا خلينا نسميه تعرف عليه T الـ magnitude
+
+246
+00:22:48,870 --> 00:23:01,940
+تبعته كم تساوي الجذر التربيعي لواحد على ثلاثة
+
+247
+00:23:01,940 --> 00:23:08,560
+فاصلة سبعة أربعة الكل تربيع زائد اثنين على ثلاثة
+
+248
+00:23:08,560 --> 00:23:14,600
+فاصلة سبعة أربعة تربيع زائد ثلاثة ثلاثة فاصلة سبعة
+
+249
+00:23:14,600 --> 00:23:19,500
+أربعة الكل تربيع تساوي الجذر التربيعي لواحد على
+
+250
+00:23:19,500 --> 00:23:26,770
+14 صح؟ لأ ايش ايش ايش.. أنت اللي اهدأ.. شو 
+
+251
+00:23:26,770 --> 00:23:32,090
+الخطأ.. شو الخطأ.. الآن هي القيمة.. هي القيمة
+
+252
+00:23:32,090 --> 00:23:36,190
+..هي القيمة.. الجذر اللي بيروح للتربيع لو كان 
+
+253
+00:23:36,190 --> 00:23:39,410
+للتربيع لكل العناصر.. بيطير.. بس أنا لا يا عم في
+
+254
+00:23:39,410 --> 00:23:43,230
+عندك عملية جمع.. تمام.. بدك تربيع كل element
+
+255
+00:23:43,230 --> 00:23:49,250
+فيهم.. الآن.. تربيع الواحد واحد.. وتربيع ثلاثة
+
+256
+00:23:49,250 --> 00:23:56,690
+فاصلة سبعة.. 14.. زائد أربعة ليش اثنين يا 
+
+257
+00:23:56,690 --> 00:24:04,650
+هالي على 14 زائد تسعة على 14 يساوي الجذر
+
+258
+00:24:04,650 --> 00:24:10,170
+التربيعي 14 على 14 الجذر الواحد
+
+259
+00:24:10,170 --> 00:24:19,110
+يتساوي واحد تمام يعني
+
+260
+00:24:19,110 --> 00:24:25,460
+الجذر الواحد مع التربيع شو لـ 13 فاصلة؟ ترفيه على 
+
+261
+00:24:25,460 --> 00:24:30,600
+الـ 3.4 يعني مش أنا جربتها يا راجل الحين في عندك
+
+262
+00:24:30,600 --> 00:24:33,280
+..في عندك أرقام إلى ما أنا نهاية ما آخذش بغير
+
+263
+00:24:33,280 --> 00:24:36,320
+الأرقام تمام؟ ما آخذش بغير الأرقام فأنا يعني..
+
+264
+00:24:36,320 --> 00:24:39,240
+القيمة اللي أنا بدي إياها جذر الـ 14 بس هذا عشان
+
+265
+00:24:39,240 --> 00:24:43,220
+أسهل على حالي الكتابة هنا طب دكتور؟ نعم لو جمعنا 
+
+266
+00:24:43,220 --> 00:24:47,040
+نزلنا مصر للطريقة وجمعنا 1,2,3,4,6 لو جسمنا في
+
+267
+00:24:47,040 --> 00:24:50,360
+الرقم على 6 هيطبع برنامج واحد أتجسم مين؟
+
+268
+00:24:53,960 --> 00:24:58,740
+بس واحد على ست تربيع زائد.. اثنين على.. بس اصوري 
+
+269
+00:24:58,740 --> 00:25:01,060
+عليه.. هاي اللي بنزمني أنا عشان أجيب الـ magnitude
+
+270
+00:25:01,060 --> 00:25:06,500
+..ما ينفعش.. ما ينفعش لأن هو في الـ.. في الآخر عشان 
+
+271
+00:25:06,500 --> 00:25:09,640
+أقول عنه unit vector لما أحسبه الـ magnitude بتطلع 
+
+272
+00:25:09,640 --> 00:25:12,720
+واحد.. والـ magnitude بيقول لازم أتربع الـ values
+
+273
+00:25:12,720 --> 00:25:13,980
+..أتربع؟
+
+274
+00:25:18,060 --> 00:25:21,960
+أنا فاهم موهل الطريقة اللي قلت لك هي في الأول جسم
+
+275
+00:25:21,960 --> 00:25:25,540
+على value معينة بس الـ value اللي أنا بدي أختارها
+
+276
+00:25:25,540 --> 00:25:28,740
+عشان تحصل لـ الـ magnitude واحد لازم تكون الـ value
+
+277
+00:25:28,740 --> 00:25:31,380
+تبقى في الـ magnitude ما ينفعش أختار أي قيمة الآن
+
+278
+00:25:31,380 --> 00:25:36,400
+صار عندي واحد على ستة وثلاثين زائد أربعة على ستة
+
+279
+00:25:36,400 --> 00:25:41,060
+وثلاثين وتسعة على ستة وثلاثين وتساوي 14 
+
+280
+00:25:41,060 --> 00:25:45,780
+على ستة وثلاثين تحت الجذر ولا عمرها بتطلع واحد
+
+281
+00:25:45,780 --> 00:25:54,010
+أظبط؟أيه تمام معناته احنا الآن صار في عندنا طريقة
+
+282
+00:25:54,010 --> 00:25:59,350
+سهلة جداً أن أقدر أحول أو عفواً أقدر أجيب متجه 
+
+283
+00:25:59,350 --> 00:26:06,770
+الوحدة من أي متجه أو بين قوسين بقدر أعمل scaling 
+
+284
+00:26:06,770 --> 00:26:14,410
+لأي vector بحيث نصير عندي into one unit كيف بتضرب
+
+285
+00:26:14,410 --> 00:26:19,110
+الـ vector هذا في واحد على الـ magnitude تبعته هذه
+
+286
+00:26:19,110 --> 00:26:27,370
+ومتجه الوحدة يا شباب بنرمز له are hand تمام
+
+287
+00:26:27,370 --> 00:26:31,190
+طبعاً
+
+288
+00:26:31,190 --> 00:26:34,530
+طريقة الإثبات بشكل عام هي احنا اشتغلنا مع بعض
+
+289
+00:26:34,530 --> 00:26:39,050
+بالمثال في الأول الآن إذا كان هذا هو متجه الوحدة
+
+290
+00:26:39,050 --> 00:26:43,230
+بدي أجيب الـ component تبعه على الـ magnitude تبعت
+
+291
+00:26:43,230 --> 00:26:47,030
+الـ R معناته الـ magnitude لمتجه الوحدة اللي عندي
+
+292
+00:26:47,030 --> 00:26:53,770
+ساوي الجذر التربيعي لـ X على magnitude R X الجذر 
+
+293
+00:26:53,770 --> 00:26:57,690
+التربيعي لـ Y على magnitude R زد على magnitude R
+
+294
+00:26:57,690 --> 00:27:04,390
+فمجموعهم عندي X تربيع على Magnitude of R تربيع X
+
+295
+00:27:04,390 --> 00:27:07,670
+تربيع زائد Y تربيع زائد Z تربيع على Magnitude of R 
+
+296
+00:27:07,670 --> 00:27:15,910
+تربيع ناخد الـ R عامل مشترك بتصفى من عندي X تربيع
+
+297
+00:27:15,910 --> 00:27:19,370
+زائد Y تربيع زائد Z تربيع تحت الجذر يعني الآن هذه
+
+298
+00:27:19,370 --> 00:27:25,650
+يا شباب تساوي الجذر التربيعي لـ X تربيع زائد Y تربيع
+
+299
+00:27:25,650 --> 00:27:32,840
+زائد Z تربيع على Magnitude of R تربيع مصبوط؟ بقدر
+
+300
+00:27:32,840 --> 00:27:35,660
+أطلعها من تحت الجذر لأن صارت فيه قيمتين اللي
+
+301
+00:27:35,660 --> 00:27:39,900
+مضروبات في بعض بقدر آخذ واحدة منهم برة الجذر واحد 
+
+302
+00:27:39,900 --> 00:27:46,360
+على magnitude of R مضروبة في X تربيع و Y تربيع و Z
+
+303
+00:27:46,360 --> 00:27:51,680
+تربيع تمام؟ طب ما هي هذه magnitude of R؟ magnitude 
+
+304
+00:27:51,680 --> 00:27:58,360
+of R على magnitude of R واحد فضل لو احنا ربعنا أي
+
+305
+00:27:58,360 --> 00:28:07,820
+عدد irrational بـ C irrational كيف يعني؟ بيصير
+
+306
+00:28:07,820 --> 00:28:13,140
+rational؟ أنا فاهم عليك هل ضروري يعني؟ ومن جاك
+
+307
+00:28:13,140 --> 00:28:16,380
+أن جذر الـ 14 ممكن هو يكون irrational طب ممكن 
+
+308
+00:28:16,380 --> 00:28:20,800
+أن في قيمة عشرية صارت تظهر بعد عشر خانات أو في
+
+309
+00:28:20,800 --> 00:28:25,440
+قيمة عشرية صارت تظهر بعد عشرين خانة مظبوط ولا لأ؟
+
+310
+00:28:25,440 --> 00:28:28,800
+ما بنقدرش نتكلم .. نعمل نظرية أو كلام بالكلام اللي 
+
+311
+00:28:28,800 --> 00:28:33,320
+أنت بتقوله بدوماً عملية إثبات في الأول بيكون فيه
+
+312
+00:28:33,320 --> 00:28:37,600
+عندك أمثلة كثيرة تدعم عشان تبدأ تفكر هل بتظبط
+
+313
+00:28:37,600 --> 00:28:47,160
+ولا بتظبطش ما أقدرش أعمل هذا الكلام طبعاً الآن
+
+314
+00:28:47,160 --> 00:28:53,400
+الـ Cartesian vector احنا بنعرف لما تكلمنا عن الـ 
+
+315
+00:28:53,400 --> 00:28:56,600
+coordinate system و تكلمنا عن الـ Cartesian تكلمت
+
+316
+00:28:56,600 --> 00:29:02,760
+على تلات محاور X و Y و Z في الـ 3D و X و Z أو X و Y
+
+317
+00:29:02,760 --> 00:29:08,040
+عفواً في الـ 2D إذا أنا بدي اتكلم .. بدي أتكلم أن الـ 
+
+318
+00:29:08,040 --> 00:29:13,500
+vector تبعي هو عبارة عن Cartesian vector Cartesian 
+
+319
+00:29:13,500 --> 00:29:18,380
+vector معناته أنا بدي أنظر للـ component تبع الـ 
+
+320
+00:29:18,380 --> 00:29:21,360
+Cartesian اللي عندي هذا أو عفواً الـ component للـ
+
+321
+00:29:21,360 --> 00:29:25,080
+vector اللي عندي و أحاول أربطهم بالـ Cartesian
+
+322
+00:29:25,080 --> 00:29:29,000
+system الـ Cartesian system تبعي أو الـ Cartesian 
+
+323
+00:29:29,000 --> 00:29:34,240
+system اللي تكلمت عليه أنا فيه عندي X و Y و Z و
+
+324
+00:29:34,240 --> 00:29:42,180
+قبل شوي كنت بتكلم على unit vector تمام و قلت هذا
+
+325
+00:29:42,180 --> 00:29:48,000
+مطابق لماذ؟ لـ X-axis من نقطة الصفر طوله واحد 
+
+326
+00:29:48,000 --> 00:29:54,300
+و قلت أن الـ J هو عبارة عن unit vector بدايةً من الـ
+
+327
+00:29:54,300 --> 00:29:59,040
+origin point باتجاه الـ Y وطوله واحدة واحدة و الـ K 
+
+328
+00:29:59,040 --> 00:30:03,300
+هو عبارة عن الـ third vector برضه unit vector من الـ
+
+329
+00:30:03,300 --> 00:30:08,060
+zero الـ origin point باتجاه الـ Z وطوله واحدة واحدة
+
+330
+00:30:09,490 --> 00:30:14,630
+تمام؟ يعني الآن هدول التلاتة لو أنا فكرت أجمعهم 
+
+331
+00:30:14,630 --> 00:30:20,210
+مع بعض تخيل قلت لك اجمع لي I زائد J زائد K ايش يساوي
+
+332
+00:30:20,210 --> 00:30:29,110
+يا شباب؟ واحد واحد واحد و T Transpose تمام؟ لو أنا
+
+333
+00:30:29,110 --> 00:30:33,150
+اجيت قلت لك كالتالي أنا في عندي vector اسمه R هو 
+
+334
+00:30:33,150 --> 00:30:35,810
+عبارة عن خمسة و تلاتة و سبعة
+
+335
+00:30:39,150 --> 00:30:43,950
+بقدر أكتبه في صورة الـ Cartesian هذه؟ اه بقدر بأجي
+
+336
+00:30:43,950 --> 00:30:54,770
+بقول لك خمسة في I زائد تلاتة في J زائد سبعة في K شو
+
+337
+00:30:54,770 --> 00:30:58,050
+الكلام اللي أنت بتقوله؟ أنا بقول كلام صح؟ الآن
+
+338
+00:30:58,050 --> 00:31:05,730
+خمسة في I خمسة صفر صفر صفر تلاتة صفر لما أنا ضربته
+
+339
+00:31:05,730 --> 00:31:11,710
+في الـ J زائد صفر صفر سبعة لما روح اتضربتوا في K و
+
+340
+00:31:11,710 --> 00:31:20,050
+لا لأ مجموعهم خمسة تلاتة سبعة مصبوط؟
+
+341
+00:31:20,050 --> 00:31:23,350
+لا لأ مش حاجة أكتب الـ transpose الـ transpose هنا 
+
+342
+00:31:23,350 --> 00:31:31,480
+هيها أيه وبالتالي أنا بقدر أمثل أي vector أي vector 
+
+343
+00:31:31,480 --> 00:31:34,280
+باعتمادي على الـ Cartesian vector التلاتة اللي 
+
+344
+00:31:34,280 --> 00:31:41,560
+موجودين من هم الـ I و الـ J و الـ K I و J و K الآن 
+
+345
+00:31:41,560 --> 00:31:46,320
+أي vector .. أي vector بيخطر على بالك تقدر تمثله
+
+346
+00:31:46,320 --> 00:31:51,000
+باعتمادنا على التلات عناصر الموجودة الآن يا شباب 
+
+347
+00:31:51,000 --> 00:32:02,300
+هو لما جالي خمسة و تلاتة و سبعة ماذا يعني خمسة؟ أن
+
+348
+00:32:02,300 --> 00:32:08,860
+الـ point تبعتي على الـ x-axis طولها خمسة و لا بقى 
+
+349
+00:32:08,860 --> 00:32:15,360
+طب و الـ unit vector طوله واحد عشان يصير خمسة بعمله 
+
+350
+00:32:15,360 --> 00:32:19,940
+scaling ضربته في خمسة فأنا أعمله scaling خمسة حددت
+
+351
+00:32:19,940 --> 00:32:23,420
+المقلة تبعتي على الـ x-axis عشان أُحدد الـ vector
+
+352
+00:32:23,420 --> 00:32:28,100
+تبعي بشكل عام وهكذا الآن لو أنا بدأت أكتب general
+
+353
+00:32:28,100 --> 00:32:31,880
+formula أو صيغة عامة للـ vector باعتمادي على الـ
+
+354
+00:32:31,880 --> 00:32:37,000
+characters and vectors هأقول أن الـ R تساوي A في I 
+
+355
+00:32:37,000 --> 00:32:44,760
+زائد B في J زائد C في K عشان أحصل على الـ vector أو
+
+356
+00:32:44,760 --> 00:32:47,580
+الـ values تبع الـ component تبع الـ vector اللي عندي 
+
+357
+00:32:47,580 --> 00:32:55,650
+اللي هي A B C الـ magnitude الجذر التربيعي لـ A 
+
+358
+00:32:55,650 --> 00:33:03,850
+تربيع لـ B تربيع زائد C تربيع صح؟ في مشكلة لأ لأن
+
+359
+00:33:03,850 --> 00:33:07,170
+هم نفسهم الـ value اللي هنا فأنا أخذت الـ scalars 
+
+360
+00:33:07,170 --> 00:33:09,810
+اللي موجودات عندي يعني لو أنا أجيتها في لحظة من
+
+361
+00:33:09,810 --> 00:33:24,610
+اللحظات أقولها أن الـ R تساوي 2 I ناقص 2 J زائد
+
+362
+00:33:24,610 --> 00:33:33,670
+3 K وبدي الـ magnitude أيوة
+
+363
+00:33:33,670 --> 00:33:37,790
+مباشرة 
+
+364
+00:33:37,790 --> 00:33:44,970
+الـ magnitude تساوي الجذر التربيعي لـ 2 تربيع ناقص 2 
+
+365
+00:33:44,970 --> 00:33:45,690
+تربيع 
+
+366
+00:33:50,350 --> 00:34:00,150
+أكيد 4 زائد 4 8 جذر الـ 17 تقريباً
+
+367
+00:34:00,150 --> 00:34:06,270
+4.1 4.2 2 تمام
+
+368
+00:34:06,270 --> 00:34:17,090
+4.1 تقريباً الآن لو
+
+369
+00:34:17,090 --> 00:34:17,930
+أنا سألتك
+
+370
+00:34:21,580 --> 00:34:27,400
+لما أنا بدي أجمع الـ I و الـ J as a vector ايش بده
+
+371
+00:34:27,400 --> 00:34:31,000
+ينتج عنهم؟
+
+372
+00:34:31,000 --> 00:34:34,800
+هاي 
+
+373
+00:34:34,800 --> 00:34:41,500
+X و هاي Y صح؟ أيوة و روحت و قلت لك أنا بدي أجمع I 
+
+374
+00:34:41,500 --> 00:34:46,380
+زائد J as a Cartesian vectors unit vectors هتقول لي
+
+375
+00:34:46,380 --> 00:34:49,700
+اللي أنا اتجاه هذا الأول هيه صح؟ هاي الواحد ..
+
+376
+00:34:49,700 --> 00:34:51,140
+الواحد هي مقطعه
+
+377
+00:35:00,550 --> 00:35:07,410
+عشان تجمع شو بدك تساوي؟ بدك تحطها ده هنا مصبوط الـ J
+
+378
+00:35:07,410 --> 00:35:14,890
+الآن تالت تاني على head الأول وهي
+
+379
+00:35:14,890 --> 00:35:21,190
+الـ vector الناتج عنه ولا لأ جذر الـ 2
+
+380
+00:35:25,720 --> 00:35:30,460
+الزاوية اللي محصورة بين الـ two vectors I و J قد ايش
+
+381
+00:35:30,460 --> 00:35:39,770
+يا شباب؟ بين الـ I و بين الـ J قد ايش؟ 90 درجة أنا
+
+382
+00:35:39,770 --> 00:35:42,010
+بسألتك ايش بعد ما جمعت .. بعد ما جمعت صار في عندي
+
+383
+00:35:42,010 --> 00:35:44,950
+vector جديد اللي هو زاوية تانية أنا سألتك كالتالي 
+
+384
+00:35:44,950 --> 00:35:49,690
+في الحالة الأولانية هذه أو حتى بعد ما أنا نجلت و
+
+385
+00:35:49,690 --> 00:35:54,590
+سألتك الزاوية اللي بين أو المحصورة ما بين الـ I و
+
+386
+00:35:54,590 --> 00:35:58,470
+الـ J سواء تكلمت على هذه أو تكلمت على هذه هذه
+
+387
+00:35:58,470 --> 00:36:01,850
+الزاوية المحصورة بينهم مظبوط؟ قد ايش قيمتها؟ تسعين
+
+388
+00:36:01,850 --> 00:36:09,510
+درجة لأن هذا الـ Y متعامد على الـ X و الـ J هو مطابق 
+
+389
+00:36:09,510 --> 00:36:24,990
+تماماً للـ Y axis بالتالي تسعين درجة تمام نعم الآن
+
+390
+00:36:24,990 --> 00:36:28,230
+زميلة بتقول لك التالت يا شباب لو كانت هاي في عندي أنا
+
+391
+00:36:28,230 --> 00:36:31,490
+الـ A و هذه هي الـ S 
+
+392
+00:36:34,710 --> 00:36:40,510
+بدل ما أنا أسوي هيك أروح أجيب تالت هنا احنا 
+
+393
+00:36:40,510 --> 00:36:44,170
+بيقول لنا بنجيب تالت تاني على head الأول هو بيقول لو
+
+394
+00:36:44,170 --> 00:36:49,490
+أنا جبت head الأول head التاني على tail الأول تفرج
+
+395
+00:36:49,490 --> 00:36:53,630
+معايا نفسها
+
+396
+00:36:53,630 --> 00:36:57,190
+و المتجه كمان نفس الاتجاه اللي هيطلع لأن هو أنا 
+
+397
+00:36:57,190 --> 00:36:57,930
+هتجيبها هنا
+
+398
+00:37:00,800 --> 00:37:04,620
+و هذا موازاة هذا مش هتفرج معاك ولا شيء لأن عملية
+
+399
+00:37:04,620 --> 00:37:08,200
+الجمع عملية إبدالية بس هذا الشكل اللي أنت نسيت
+
+400
+00:37:08,200 --> 00:37:11,580
+ما بتفرجش معانا بس احنا ايش بنقول هنا عشان أقدر
+
+401
+00:37:11,580 --> 00:37:16,140
+أتخيل لإنه عادة هيك في عملية الجمع أنا بالـ tail
+
+402
+00:37:16,140 --> 00:37:20,480
+التاني بالأول عملية tail التاني بالأول بتقتضي إن 
+
+403
+00:37:20,480 --> 00:37:24,020
+الـ tail تبعت التاني تلتقي مع الـ head تبعت الأول بس
+
+404
+00:37:24,020 --> 00:37:30,440
+تخيلهم زي عربات قطار و بدون مشبوكوش مع بعض يا جماعة و
+
+405
+00:37:30,440 --> 00:37:36,820
+مجرور حاضر بس هناك رأس ولا تحت مين؟ لا يا صاحبي هاي
+
+406
+00:37:36,820 --> 00:37:40,720
+نفس الاتجاه وان رأس ولا تحت عشان هي رأس الـ R هاي
+
+407
+00:37:40,720 --> 00:37:45,600
+رأس الـ R هنا تمام طيب بيكون دي الـ tail زي المتجه 
+
+408
+00:37:45,600 --> 00:37:51,660
+اللي من نفسه لا لا يعني بينفعش المتجه دائماً دائماً
+
+409
+00:37:51,660 --> 00:37:58,130
+في عملية الجمع هنا اسمه لك راح جمع S زائد R معناته
+
+410
+00:37:58,130 --> 00:38:03,290
+.. معناته tail الأول اللي هو tail الـ S هو الـ tail 
+
+411
+00:38:03,290 --> 00:38:08,110
+الـ vector المحصلة والـ head تبع الـ R هي الـ head تبع
+
+412
+00:38:08,110 --> 00:38:11,650
+المحصلة هي عملية الجمع اللي احنا تكلمنا فيها
+
+413
+00:38:11,650 --> 00:38:16,450
+قبل شوي وهذا الكلام ما فَرّجش بالنسبة لنا هنا لما
+
+414
+00:38:16,450 --> 00:38:23,990
+نروح نجيب R زائد S تصبح؟ يعني هنا الـ tail يعني 
+
+415
+00:38:23,990 --> 00:38:37,900
+الـ T .. T S و .. أو R .. عفواً S T و R Head هذا R T
+
+416
+00:38:37,900 --> 00:38:42,980
+و S Head دائماً هيك عملية الجمع الـ component 
+
+417
+00:38:42,980 --> 00:38:46,300
+الأولى بتأخذ منها الـ tail تمام؟ و الـ component 
+
+418
+00:38:46,300 --> 00:38:48,740
+الثاني أو الـ vector الثاني بتكلم عن الـ head تبعته
+
+419
+00:38:48,740 --> 00:38:53,520
+مش هيتغير اتجاهه بتغير الاتجاه لما كان بتكلم على
+
+420
+00:38:53,520 --> 00:38:54,300
+عملية مرح
+
+421
+00:39:08,070 --> 00:39:11,130
+هل بقدر أجمع و أطرح بناء على الـ Cartesian vectors
+
+422
+00:39:11,130 --> 00:39:16,290
+أكيد الاله قلت لك أجمع لي الـ S أو الـ R مكتوب as a 
+
+423
+00:39:16,290 --> 00:39:19,010
+Cartesian vector و الـ S مكتوب as a Cartesian
+
+424
+00:39:19,010 --> 00:39:24,490
+vector قلت لك أجمع الاتنين مع بعض R زائد S تساوي A
+
+425
+00:39:24,490 --> 00:39:32,530
+زائد D في I  B زائد E في J زائد C زائد F في K
+
+426
+00:39:35,530 --> 00:39:44,510
+A-DI زائد F  تحجوص B-EJ زائد F تحجوص C-FK
+
+427
+00:39:44,510 --> 00:39:48,110
+وبالتالي العملية عندي أنا هنا تطبق بشكل مباشر مع
+
+428
+00:39:48,110 --> 00:39:51,770
+الـ Cartesian Vector طيب ليش أنا محتاج الـ Cartesian
+
+429
+00:39:51,770 --> 00:39:57,910
+Vector عشان عمليات ضرب المتجهات مش هقدر أحكمها أو 
+
+430
+00:39:57,910 --> 00:40:01,970
+هقدر أطبقها إلا بإعتمادي على الـ Cartesian Vector
+
+431
+00:40:01,970 --> 00:40:06,350
+وهلأ دلوقتي هنشوف ليش، الآن خلصنا من موضوع الجمع و
+
+432
+00:40:06,350 --> 00:40:11,230
+الطرح على الـ vectors  خلصنا من موضوع الجمع و الطرح 
+
+433
+00:40:11,230 --> 00:40:15,770
+على الـ vectors بدي أتكلم على الـ vector products
+
+434
+00:40:15,770 --> 00:40:21,570
+ضرب المتجهات ضرب المتجهات يا شباب بياخد واحدة من 
+
+435
+00:40:21,570 --> 00:40:27,050
+صورتين بياخد صورة من اثنتين إما بنسميه الـ scalar 
+
+436
+00:40:27,050 --> 00:40:34,470
+تمام أو الضرب القياسي، بنطق عليها إما scalar أو dot 
+
+437
+00:40:34,470 --> 00:40:38,690
+product ايش يعني ضرب قياسي أنه أنا في الآخر بدي 
+
+438
+00:40:38,690 --> 00:40:44,890
+أتكلم على محصلة الناتج تبعي scalar value الناتج 
+
+439
+00:40:44,890 --> 00:40:49,230
+تبعي scalar value ومن هنا جاء اسمه scalar أو
+
+440
+00:40:49,230 --> 00:40:53,230
+scaling product أو dot product أو ضرب قياسي إن 
+
+441
+00:40:53,230 --> 00:40:57,870
+محصلة الضرب القياسي scalar value رقم ما فيش اتجاهات
+
+442
+00:40:57,870 --> 00:41:03,130
+ما فيش components رقم فقط، تمام؟ وفي عندي ضرب ثاني
+
+443
+00:41:03,130 --> 00:41:08,030
+بيسميه ضرب المتجهي تمام؟ أو ضرب الـ vector cross
+
+444
+00:41:08,030 --> 00:41:14,920
+product وبأحصل من خلاله على على متجه، بأحصل بتكلم على
+
+445
+00:41:14,920 --> 00:41:19,540
+متجه يعني الآن لما أنا أتكلم فعملي أجمع متجهين 
+
+446
+00:41:19,540 --> 00:41:23,760
+بأحصل على متجه جديد، أطرح متجهين بأحصل على متجه جديد
+
+447
+00:41:23,760 --> 00:41:28,580
+بدي أضرب متجهين واحدة من اثنين إذا بتكلم عن ضرب
+
+448
+00:41:28,580 --> 00:41:34,080
+قياسي scalar product أو dot product بأحصل على 
+
+449
+00:41:34,080 --> 00:41:40,190
+scalar value قيمة، إذا بتكلم على cross product، بتكلم
+
+450
+00:41:40,190 --> 00:41:44,130
+على متجه، بأحصل على متجه جديد، خلّيني نبدأ مع الأسهل
+
+451
+00:41:44,130 --> 00:41:50,830
+الـ Scalar Product اللي هو الضرب القياسي R Dot S
+
+452
+00:41:50,830 --> 00:41:57,470
+عشان نحسن منها برضه Dot Product يساوي مقياس الـ R
+
+453
+00:41:57,470 --> 00:42:02,370
+المجنتيود تبعت الـ R في مجنتيود الـ S في كوزاين
+
+454
+00:42:02,370 --> 00:42:08,410
+الزاوية اللي بينهم، في الزاوية المحصورة بينهم، تمام
+
+455
+00:42:09,540 --> 00:42:16,060
+الآن عند عملية الضرب بصاحبي بينفعش تروح تأخذ التيل 
+
+456
+00:42:16,060 --> 00:42:20,280
+التاني و تحطه على الهد تبع الأول، لأ، عشان تقدر تجيب
+
+457
+00:42:20,280 --> 00:42:25,240
+الزاوية المحصورة بينهم بدك تحط التيل على التيل هيك
+
+458
+00:42:25,240 --> 00:42:30,760
+تتخيلهم، يعني الآن لو أنا قلت لك هي الـ S هنا وهي في 
+
+459
+00:42:30,760 --> 00:42:39,490
+end هنا الـ R وبدي أضربهم في بعض، بدك تروح تحط الـ
+
+460
+00:42:39,490 --> 00:42:42,230
+tail على الـ tail عشان تقدر تتكلم على الزاوية
+
+461
+00:42:42,230 --> 00:42:46,790
+المحصورة بين المتجاهين، يعني هتيجي تقول الأسهم أو
+
+462
+00:42:46,790 --> 00:42:50,510
+هي الـ arrow بنفس الطول، هي الزاوية اللي بتكلم عليها
+
+463
+00:42:50,510 --> 00:42:54,370
+theta أو بيجي تجيب لي الأسهم بنفس الاتجاه وبنصير
+
+464
+00:42:54,370 --> 00:43:03,770
+نتكلم على الزاوية المحصورة بينهم، طيب
+
+465
+00:43:03,770 --> 00:43:04,830
+سؤال
+
+466
+00:43:17,030 --> 00:43:24,670
+I dot J صفر، صفر ليش؟ لأن الزاوية تسعين، هي عبارة عن
+
+467
+00:43:24,670 --> 00:43:33,430
+واحد في واحد في واحد في كوزاين تسعين درجة، من وين
+
+468
+00:43:33,430 --> 00:43:38,390
+بتتزاوي تسعين درجة إن الـ I و الـ J هدول لما النقطة
+
+469
+00:43:38,390 --> 00:43:43,070
+تبعتهم الـ origin لما أجمعهم على بعض، الـ tail على 
+
+470
+00:43:43,070 --> 00:43:45,310
+الـ tail بيصير القايمة بينهم زاوية محصورة بينهم
+
+471
+00:43:45,310 --> 00:43:54,630
+90 درجة كمان، طيب كيف هذا الكلام وصلنا له؟ كيف هذا
+
+472
+00:43:54,630 --> 00:43:59,350
+الكلام وصلنا له؟ عملية ضرب متجهات مثل الـ R as a 
+
+473
+00:43:59,350 --> 00:44:03,110
+cartesian ومثل الـ S as a cartesian وضربهم في بعض
+
+474
+00:44:05,150 --> 00:44:12,070
+الآن R تساوي A في I بي زائد BJ زائد CK S تساوي DI
+
+475
+00:44:12,070 --> 00:44:19,450
+EJ زائد F في K، لما أنا بدي آجي أضرب العناصر مع
+
+476
+00:44:19,450 --> 00:44:24,010
+بعضهم ايش المنطق بيقول؟ خد المتجهين هدول و اضربهم
+
+477
+00:44:24,010 --> 00:44:28,050
+في بعض، ولما بدك تيجي تضرب متجهين في بعض يعني شو
+
+478
+00:44:28,050 --> 00:44:31,290
+بدك تساوي شباب؟ بدك تأخذ الـ component الأولى؟
+
+479
+00:44:32,150 --> 00:44:35,310
+وتوزيحها على المتجه كلها يعني، مظبوط؟ تأخذ الـ
+
+480
+00:44:35,310 --> 00:44:39,670
+component الثانية وتوزيحها على كل المتجه عشان 
+
+481
+00:44:39,670 --> 00:44:43,270
+ما حدش يفكر أنه لأ في كل المتجه والـ component
+
+482
+00:44:43,270 --> 00:44:53,770
+الثالثة كذلك فهتصف عندي AI مضروبة في DI زائد EJ
+
+483
+00:44:53,770 --> 00:45:02,720
+زائد FK زائد BJ dot product في مين؟ DIEJ زي
+
+484
+00:45:29,240 --> 00:45:34,980
+حرام عليك يا راجل، كوزاين الصفر I و I الآن وأنا
+
+485
+00:45:34,980 --> 00:45:43,500
+بأضرب I.I هذه تساوي واحد في واحد، الزاوية اللي بين
+
+486
+00:45:43,500 --> 00:45:52,360
+الـ I و I صفر، كوزاين الـ zero تساوي واحد، أصبت؟ طيب
+
+487
+00:45:52,360 --> 00:45:53,940
+معناته صفت عندي هان
+
+488
+00:46:00,230 --> 00:46:09,330
+أي أي أي أي أي أي أي أي أي أي أي أي أي أي أي
+
+489
+00:46:11,770 --> 00:46:17,070
+في dot j صفر، معناته بينغسل في كل العملية هذه أنا
+
+490
+00:46:17,070 --> 00:46:21,710
+هأحتفظ بتاعة مكونات فقط اللي هم المتشابهات اللي
+
+491
+00:46:21,710 --> 00:46:26,830
+الزاوية بينهم بتكون صفر، معناته بأتكلم على AD في I 
+
+492
+00:46:26,830 --> 00:46:38,340
+dot I BI J dot J BE عفواً، وC في F في k.k والباقي كله
+
+493
+00:46:38,340 --> 00:46:42,660
+ياتي بنعمله ايش elimination بنطير وبتصف عندي 
+
+494
+00:46:42,660 --> 00:46:51,200
+المسألة بتصف عندي المسألة الآن a
+
+495
+00:46:51,200 --> 00:46:56,880
+d مصبوط زائد
+
+496
+00:46:56,880 --> 00:47:00,580
+I
+
+497
+00:47:00,580 --> 00:47:07,010
+في I ايش بيطلع؟ واحد، ما توقف، حسبناها، مالك؟ هاي I ضد 
+
+498
+00:47:07,010 --> 00:47:12,310
+الـ I الـ magnitude لـ I واحد، الـ magnitude لـ I
+
+499
+00:47:12,310 --> 00:47:17,050
+الثانية واحد في الـ cosine ازاي من بين I و I two
+
+500
+00:47:17,050 --> 00:47:25,530
+vector صفر وبالتالي واحد، BE زائد CF
+
+501
+00:47:29,020 --> 00:47:33,200
+معناه تصبح عندي الـ Cartesian الـ dot product هذا
+
+502
+00:47:33,200 --> 00:47:39,360
+R في S مجموعة الـR مجموعة الـS في Cos Beta أو 
+
+503
+00:47:39,360 --> 00:47:44,600
+الزاوية اللي بينهم تساوي A في B في F المعادلة هذه
+
+504
+00:47:44,600 --> 00:47:49,720
+متى بتلزم لي يا شباب؟ بيصير 
+
+505
+00:47:49,720 --> 00:47:53,880
+تلزم لي لما يديني two vectors ويجلّهات لي الزاوية
+
+506
+00:47:53,880 --> 00:47:58,630
+اللي محصورة بين الـ two vectors هدول، هذا الكلام ليش
+
+507
+00:47:58,630 --> 00:48:02,770
+بيلزم لي؟ بيلزم لي لما أتكلم على الإضاءة وانعكاسها
+
+508
+00:48:02,770 --> 00:48:07,530
+والضوء لوين واصل، يعني الآن لو أنا تخيلت إن الـ mic
+
+509
+00:48:07,530 --> 00:48:13,730
+هذا هو عبارة عن مصدر للضوء بشكل دائري، جدّش ما تكون
+
+510
+00:48:13,730 --> 00:48:18,290
+المساحة تبع توهان محدودة، ماشية، بدي أحسبها عشان
+
+511
+00:48:18,290 --> 00:48:22,210
+آلي في النهاية لو صورت من فوق كاميرا أنا ما يكونش 
+
+512
+00:48:22,210 --> 00:48:27,350
+كل المكتب ضاوي يكون جزء معين ومسبح حقيقية لمصدر
+
+513
+00:48:27,350 --> 00:48:29,950
+الضوء ولحجم الطاولة والـ area فهذه الـ calculation
+
+514
+00:48:29,950 --> 00:48:34,450
+مين هيجيبها؟ بتخدمك فيها الـ vectors والزوايا اللي
+
+515
+00:48:34,450 --> 00:48:37,790
+موجودة لأنه بناء على الزاوية بس أقول النقطة هذه
+
+516
+00:48:37,790 --> 00:48:42,810
+مضيئة أو غير مضيئة، مظبوط؟ نعم؟ آه، بدك تكون تحسب
+
+517
+00:48:42,810 --> 00:48:43,470
+أنت، أكيد
+
+518
+00:48:47,140 --> 00:48:50,220
+آه، زي اللي كان اسمه في أول الـ slides لما كانت
+
+519
+00:48:50,220 --> 00:48:54,740
+تتحرك الدوق هذا كان فعلاً الظل فيه قلوب متساعمة
+
+520
+00:48:54,740 --> 00:48:58,300
+لكل فكرة يا شباب من الرياضيات هان في الـ graphics أو
+
+521
+00:48:58,300 --> 00:49:01,800
+في الـ animation تبعتي أنه تكون more realistic تكون
+
+522
+00:49:01,800 --> 00:49:06,700
+حقيقية أو أقرب للحقيقة، لأنه في الآخر في نقادهم
+
+523
+00:49:06,700 --> 00:49:12,330
+يطلعوا على الفيديو ويقيموا الـ animation هذه، بيقيموها
+
+524
+00:49:12,330 --> 00:49:18,110
+بالسيناريو نعم، الجهة اللي تقييم لحالها والتصوير الـ
+
+525
+00:49:18,110 --> 00:49:21,050
+animation اللي تقييم لحالها، فالقالة ما بيش بيقول لك
+
+526
+00:49:21,050 --> 00:49:26,250
+والله إن السيناريو ممتاز بس التصوير يا لطيف أو 
+
+527
+00:49:26,250 --> 00:49:29,870
+اللي بيقول لك العكس، في كل الحالتين الـ animation
+
+528
+00:49:29,870 --> 00:49:34,670
+تبعتك fail، رسبت أو فسقت، ما نجحتش، فأنت ما تحافظ على
+
+529
+00:49:34,670 --> 00:49:39,330
+الاثنتين، تمام؟ بقول لأن أنا في عندي vector أو في
+
+530
+00:49:39,330 --> 00:49:46,550
+عندي two vectors وبدي .. يسلموا، أديك، شكراً الله
+
+531
+00:49:46,550 --> 00:49:49,030
+يكرمك، أنا فيه في جيبي بس يعني خلاص ما بأحسش بالعراج
+
+532
+00:49:49,030 --> 00:49:53,670
+كثير الآن .. وبدي أجيب للزاوية اللي محصورة بين
+
+533
+00:49:53,670 --> 00:49:58,630
+الاثنين هدول، على الوضع السابق يا شباب ما كنتش بقدر
+
+534
+00:49:58,630 --> 00:50:01,870
+أتكلم على الزاوية ولا بقدر أجيبها، بس اليوم الأمر
+
+535
+00:50:01,870 --> 00:50:06,170
+أسهل كثير الآن، ايش اللي بيطلب مني؟ القانون بيقول لي
+
+536
+00:50:06,170 --> 00:50:12,770
+الـ R الضرب القياسي للمتجهين يساوي الـ magnitude تبعت 
+
+537
+00:50:12,770 --> 00:50:16,550
+الـ R في الـ magnitude تبعت الـ S في الـ cosine
+
+538
+00:50:16,550 --> 00:50:28,210
+الزاوية وهذا يساوي A في B زائد B في E زائد C في F
+
+539
+00:50:28,210 --> 00:50:34,570
+وما تنساش A B C D E F هي توزيعة العناصر اللي عندنا
+
+540
+00:50:36,180 --> 00:50:40,140
+آه، تحت مقدر، وبالتالي صرت أنا القيمة هذه معروفة 
+
+541
+00:50:40,140 --> 00:50:44,180
+والقيمة هذه معروفة وهذه معروفة وهذه معروفة وهذه
+
+542
+00:50:44,180 --> 00:50:48,960
+معروفة بقال من عندي مجهول cosine الزاوية، بأستخدم
+
+543
+00:50:48,960 --> 00:50:54,000
+cosine inverse عشان أجيب قيمة الزاوية وبالتالي أنا
+
+544
+00:50:54,000 --> 00:51:00,100
+بكل بساطة بقدر آجي أقول الآن cosine theta يساوي
+
+545
+00:51:00,100 --> 00:51:12,680
+اثنين و خمسة عشر زائد صفر زائد أربعين على الـ 
+
+546
+00:51:12,680 --> 00:51:22,080
+magnitude تبعت الـ R جذر ستة و أربعين جذر العشرين جذر 
+
+547
+00:51:22,080 --> 00:51:28,260
+العشرين ضرب ثاني خمسة و عشرين زائد ستة و ثلاثين
+
+548
+00:51:28,260 --> 00:51:32,160
+واحد و ستين، ومية ومية، واحد و ستين
+
+549
+00:51:36,650 --> 00:51:43,070
+مظبوط؟ هي المقادير الآن بقدر أقول له θ يساوي
+
+550
+00:51:43,070 --> 00:51:51,350
+cosine inverse لـ 50 على أربعة
+
+551
+00:51:51,350 --> 00:51:55,290
+وشوية، ماشي الحال، بقدر أدخله تحت الجذر يا شباب
+
+552
+00:51:55,290 --> 00:52:01,010
+القيم بتروح في بعض ولا بقدرش؟ بقدر أضرب لأنه بتصير
+
+553
+00:52:01,010 --> 00:52:07,250
+عشرين ضرب مية وواحد و ستين تحت الجذري، لا لحظة شوية
+
+554
+00:52:07,250 --> 00:52:15,310
+عشرين ضرب مية وواحد و ستين تحت الجذر، صحيح تساوي
+
+555
+00:52:15,310 --> 00:52:19,730
+cosine inverse لثمانية و عشرين، والزاوية جزاك اللي 
+
+556
+00:52:19,730 --> 00:52:24,390
+بتطلع ثمانية
+
+557
+00:52:24,390 --> 00:52:30,350
+وعشرين فاصلة اثنين و عشرين درجة تقريباً عشان أنا
+
+558
+00:52:30,350 --> 00:52:35,000
+بروح أعمل تقدير للزاوية اللي موجودة عندها، وبالتالي 
+
+559
+00:52:35,000 --> 00:52:37,800
+صرت أنا بقدر أتكلم على الزاوية أو أتعرف على 
+
+560
+00:52:37,800 --> 00:52:42,480
+الزاوية الموجودة بين المتجهين الموجودين عندها، الآن 
+
+561
+00:52:42,480 --> 00:52:48,220
+بيقول لي في عندي لامبرت لاو أو في عندي قانون
+
+562
+00:52:48,220 --> 00:52:54,220
+لامبرت بيقدر يحسب شدة الإضاءة شدة الإضاءة على
+
+563
+00:52:54,220 --> 00:53:00,670
+نقطة معينة شدة الإضاءة على نقطة معينة، وبالمثال
+
+564
+00:53:00,670 --> 00:53:04,290
+اللي مفترضه كالتالي، الآن في عندي Lambert Law
+
+565
+00:53:04,290 --> 00:53:09,630
+بيقول كالتالي أنه أنا ممكن أحسب شدة الإضاءة، تمام
+
+566
+00:53:09,630 --> 00:53:15,630
+على أي سطح إذا عرفت، حددت النقطة، و حددت مصدر الضوء
+
+567
+00:53:15,630 --> 00:53:19,990
+اللي موجود يعني زي ما قلنا قبل شوية، الآن هيفي عندي 
+
+568
+00:53:19,990 --> 00:53:24,430
+هنا ضوء مباشرة، مصدر الضوء قدامي، المفروض المفروض
+
+569
+00:53:24,430 --> 00:53:30,520
+أكثر النقاط أو أكثر النقاط إضاءة على الطاولة اللي
+
+570
+00:53:30,520 --> 00:53:36,360
+تحتها مباشرة، وكل ما بعدت بتبدأ يخفّ لحد ما بطلع من
+
+571
+00:53:36,360 --> 00:53:41,040
+دائرة، بيبدأ الظلام يزيد ولا لأ، العتمة لحد ما ...
+
+572
+00:53:41,040 --> 00:53:44,100
+يعني في آخر النقطة اللي ورا الدائرة هذه مش هتكون
+
+573
+00:53:44,100 --> 00:53:47,280
+عتمة 100% مش هتكون dark فيها light
+
+574
+00:53:47,280 --> 00:53:51,620
+لكن الـ light إيش خافت أو ضعيف، وكل ما تتسع الدائرة
+
+575
+00:53:51,620 --> 00:53:56,000
+بخفّ الضوء لدرجة إنه إيش بعد شوية بيصير إيش ظلام
+
+576
+00:53:56,000 --> 00:54:02,140
+تمام أو فلان دامس، الآن عشان أنت تقدر تحسب حسب قانون
+
+577
+00:54:02,140 --> 00:54:05,620
+لامبرت، بيقول كالتالي، بيقول عشان تقدر تحسب، بديت
+
+578
+00:54:05,620 --> 00:54:13,340
+تتخيل أن في عندك متجهين، المتجهين هدول الأول يمثل
+
+579
+00:54:13,340 --> 00:54:18,640
+بين مصدر الضوء والنقطة اللي أنت بدك تحسبها، ودائما
+
+580
+00:54:18,640 --> 00:54:23,880
+دائما بدك تأخذ النقطة اللي على الطاولة، هي تلتبعة
+
+581
+00:54:23,880 --> 00:54:27,600
+المتجهة طبعا، يعني أنا بدأت أتخيل ... لأن جابني شوية
+
+582
+00:54:27,600 --> 00:54:30,120
+عشان أجيب الزاوية بين المتجاهين لازم يكونوا 
+
+583
+00:54:30,120 --> 00:54:33,360
+مرتققين بالذيل، بينفعش الذيل يكون من مصدر الضوء
+
+584
+00:54:33,360 --> 00:54:37,120
+فالمش ... مش فارقة كتير عندي الاتجاه، لكن في الناس
+
+585
+00:54:37,120 --> 00:54:40,600
+... في الآخر ... بما أني بتكلم على scalar فالمجنتيود
+
+586
+00:54:40,600 --> 00:54:46,800
+واحدة، تمام؟ وعلى النقطة نفسها، الذيل تبعت متجه
+
+587
+00:54:46,800 --> 00:54:52,680
+الضوء هذه، بدك تنشئ norm vector، norm vector يعني
+
+588
+00:54:52,680 --> 00:54:56,460
+vector متعامد على السطح، متعامد على النقطة اللي أنا
+
+589
+00:54:56,460 --> 00:55:00,220
+موجود عليها، وبهيك تصير تقدر تحسب الزاوية أو شدة
+
+590
+00:55:00,220 --> 00:55:03,880
+الإضاءة في المكان هذا، يعني لو أنا أجيت، هذا مصدر
+
+591
+00:55:03,880 --> 00:55:08,860
+الضوء، وحطيت الجلم هذا، النقطة اللي بثلها الجلم الآن
+
+592
+00:55:08,860 --> 00:55:14,480
+صار الـ norm vector متعامد، الـ cosine تبع التسعين أو
+
+593
+00:55:14,480 --> 00:55:20,520
+مصبوط، كوزاين التسعين صفر، وكوزاين الصفر لأنه جايين
+
+594
+00:55:20,520 --> 00:55:24,580
+متعامدين، مخطوطين بقيم مع بعض، واحد، بمعنى آخر أنه
+
+595
+00:55:24,580 --> 00:55:28,700
+أعلى شدة كتافة هتكون عنده، أيّن تحته مباشرة لما أنا
+
+596
+00:55:28,700 --> 00:55:33,860
+بزيحه شوية بصير في عندي زاوية، هال بصير أنا ببدأ
+
+597
+00:55:33,860 --> 00:55:37,360
+أتكلم أنه لأ في شدة الإضاءة شوية هتخفّ، و بقدر
+
+598
+00:55:37,360 --> 00:55:41,720
+أتكلم أنه كل ما زادت الزاوية هذه لحد ما تصير تسعين
+
+599
+00:55:41,720 --> 00:55:47,650
+تمام، خلاص بتبقى بالعندي إيش، أتكلم على الضوء اللي
+
+600
+00:55:47,650 --> 00:55:53,630
+موجود، وحقنا تعلمنا زمان يا شباب أن لو بعيدا عن
+
+601
+00:55:53,630 --> 00:55:56,930
+المتجهات، الضوء بده ينزل هان، هيصطادلها، إيش بده
+
+602
+00:55:56,930 --> 00:56:01,530
+يصير فيه؟ بده يتحلل لمركبتين، قصده لواحدة عمودية
+
+603
+00:56:01,530 --> 00:56:07,210
+على السطح، والتانية بزاوية متساوية، هيك يعني هدوء
+
+604
+00:56:07,210 --> 00:56:10,970
+كأنه بده ينصف الزاوية اللي بده تيجي عندها anyway
+
+605
+00:56:10,970 --> 00:56:14,170
+في الآخر، تعالي نيجي نحسم، نشوف قانون لامبرت بيقول
+
+606
+00:56:14,170 --> 00:56:20,170
+بالتحديد، بالمثال على قانون لامبرت بيقول كتابة: أحسب
+
+607
+00:56:20,170 --> 00:56:25,070
+الزاوية في الضوء، أحسب بيتا لو كان مصدر الضوء، أحسب
+
+608
+00:56:25,070 --> 00:56:28,970
+كوزاين الزاوية لو كان مصدر الضوء عندي عشرين، عشرين
+
+609
+00:56:28,970 --> 00:56:38,350
+أربعة، يعني هي أربعين
+
+610
+00:56:38,350 --> 00:56:38,610
+عفوا
+
+611
+00:56:43,350 --> 00:56:47,430
+مصدر الضوء هيو والنقطة تبعتي اللي أنا بدي أحسب
+
+612
+00:56:47,430 --> 00:56:51,590
+عليها صفر
+
+613
+00:56:51,590 --> 00:57:00,790
+عشرة، صفر، تمام، وال
+
+614
+00:57:00,790 --> 00:57:04,630
+vector المتعامد على النقطة هذه
+
+615
+00:57:07,410 --> 00:57:12,230
+الـ vector المتعامد على النقطة هذه ما يكون جيه؟
+
+616
+00:57:12,230 --> 00:57:16,270
+الجيه، ولا لأ؟ لأن الكمبونت تبعت الـ X بصفر، والكمبونت
+
+617
+00:57:16,270 --> 00:57:19,870
+تبعت الزد بصفر، يعني الـ I والـ K طاروا من عندي، صفة
+
+618
+00:57:19,870 --> 00:57:24,150
+من عندي؟ عندي الجيه، تمام، وبالتالي أنا الآن بقدر
+
+619
+00:57:24,150 --> 00:57:27,950
+أرسم أو أتكلم على الـ vector، الـ norm vector تبعي
+
+620
+00:57:27,950 --> 00:57:34,430
+هي، بناء على النقطة اللي موجودة، تمام، الـ S الـ
+
+621
+00:57:34,430 --> 00:57:38,460
+magnitude تبعتها كذا، لأنه بالزمن الـ magnitude تبع
+
+622
+00:57:38,460 --> 00:57:41,940
+الـ S، وبالزمن الـ magnitude تبع الـ norm vector هذا
+
+623
+00:57:41,940 --> 00:57:45,640
+الـ unit vector الموجود عندي، مظبوط؟ بس هو مش واحد
+
+624
+00:57:45,640 --> 00:57:52,380
+الـ ... لأ هو الـ norm vector واحد، آسف، الـ norm vector
+
+625
+00:57:52,380 --> 00:57:56,820
+متعامد، و unit vector، الآن عشان أجيب الـ magnitude
+
+626
+00:57:56,820 --> 00:58:02,100
+هذه، هي عبارة عن الـ vector هذا، هيكون عندي إيه يا
+
+627
+00:58:02,100 --> 00:58:09,610
+شباب؟ وين الـ head؟ وين الـ head؟ هيها، هي الـ head، و
+
+628
+00:58:09,610 --> 00:58:13,470
+اتفقنا ليش أعملها فوق head؟ لأن لازم النقطتين أو الـ
+
+629
+00:58:13,470 --> 00:58:16,110
+two vector اللي تقدروا في نفس الـ tail، بينفعش أعكس
+
+630
+00:58:16,110 --> 00:58:25,570
+فبقول أنا الآن عشرين، ماجس صفر وأربعين، عشرين، ماجس
+
+631
+00:58:25,570 --> 00:58:33,030
+عشرة وأربعين، ماجس صفر، هذا مين؟ هذا الـ S، هي الـ
+
+632
+00:58:33,030 --> 00:58:39,730
+vector، عشرين، عشرة، أربعين، الـ magnitude تبعت الـ S
+
+633
+00:58:39,730 --> 00:58:45,370
+تساوي الجذر التربيعي للعشرين تربيع زائد العشرة تربيع
+
+634
+00:58:45,370 --> 00:58:50,170
+زائد الأربعين تربيع، خمسة
+
+635
+00:58:50,170 --> 00:58:55,650
+وأربعين فاصلة ثمانية، تمام؟ طيب الـ magnitude للـ
+
+636
+00:58:55,650 --> 00:59:03,060
+norm، الـ magnitude للـ norm vector تبعي واحد ... واحد
+
+637
+00:59:03,060 --> 00:59:08,360
+... طيب الزاوية اللي بينهم ... الآيش بكتور تساوي ...
+
+638
+00:59:08,360 --> 00:59:11,820
+حيو ... صار في عندك هيك كمان مرة ... هي الـ S تساوي
+
+639
+00:59:11,820 --> 00:59:19,120
+عشرين ... عشرة ... أربعين ... مصبوط ... والـ M الـ norm
+
+640
+00:59:19,120 --> 00:59:23,780
+vector المتعامد على النقطة اللي بديها كثافة الضوء
+
+641
+00:59:23,780 --> 00:59:26,660
+عندها ... صفر ... واحد ... صفر ...
+
+642
+00:59:29,690 --> 00:59:33,550
+والآن بدو مني الزاوية، أنا بأعرف أن الـ magnitude
+
+643
+00:59:33,550 --> 00:59:38,670
+تبعت الـ S في الـ magnitude تبعت الـ N في الـ cosine
+
+644
+00:59:38,670 --> 00:59:46,070
+الزاوية يساوي عشرين في صفر صفر، زائد عشرة في صفر
+
+645
+00:59:46,070 --> 00:59:50,530
+أو لا لا، الـ magnitude تبعت الـ S هي خمسة وأربعين
+
+646
+00:59:50,530 --> 00:59:57,170
+فاصلة ثمانية، معناه الـ cosine بيتا تساوي عشرة، عشرة
+
+647
+00:59:57,170 --> 01:00:01,750
+على خمسة وأربعين فاصلة ثمانية ضرب واحد، مصبوط لأن
+
+648
+01:00:01,750 --> 01:00:07,170
+الـ magnitude الـ M بواحد، خمسة وأربعين فاصلة ثمانية
+
+649
+01:00:07,170 --> 01:00:14,030
+ثلاثة، معناته بيتا تساوي cosine inverse للعشرة على
+
+650
+01:00:14,030 --> 01:00:17,650
+خمسة وأربعين فاصلة ثمانية ثلاثة، واللي بدها تساوي
+
+651
+01:00:17,650 --> 01:00:18,810
+تقريبا
+
+652
+01:00:22,340 --> 01:00:26,100
+و18، عفوا، لأ هذه cosine الـ beta هاي، هذه cosine الـ
+
+653
+01:00:26,100 --> 01:00:35,480
+beta 2.18 جدّش تقريبا زاوية، أيوة هو طالع في
+
+654
+01:00:35,480 --> 01:00:39,200
+السؤال، cosine الـ beta جدّش تقريبا زاوية، يا شباب، اللي
+
+655
+01:00:39,200 --> 01:00:44,200
+مع الـ calculator، cosine
+
+656
+01:00:44,200 --> 01:00:47,660
+inverse لفاصلة 2.18
+
+657
+01:00:50,940 --> 01:00:55,280
+77.10، يعني النقطة أو point أربعة بقدر أتكلم إن
+
+658
+01:00:55,280 --> 01:00:58,580
+النقطة لسه ما زالت مضيئة، وكثافة الضوء بتعتمد على
+
+659
+01:00:58,580 --> 01:01:03,380
+الزاوية high بشكل بسيط، في الآخر يا شباب، هذا الكلام
+
+660
+01:01:03,380 --> 01:01:06,400
+أنا ما أقدر أوصله بدون ما أتعرف على المتجهات
+
+661
+01:01:06,400 --> 01:01:12,420
+بتفصيلها والتفريعات اللي موجودة عندنا فيها، طيب هيك
+
+662
+01:01:12,420 --> 01:01:16,080
+في تطبيق ثاني هنتكلم عليه المحاضرة اللي جاي عشان
+
+663
+01:01:16,080 --> 01:01:20,890
+نحاول نعمل refresh، ومحاولة بدي أجيب معايا لون حاضر
+
+664
+01:01:20,890 --> 01:01:22,030
+الجاية، الله يعطيكم العافية
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/HCsEZ5HU4gc_raw.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/HCsEZ5HU4gc_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d24ffa2c45624dd7e34e018d13e2acde61169382
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/HCsEZ5HU4gc_raw.srt
@@ -0,0 +1,1878 @@
+1
+00:00:20,820 --> 00:00:22,900
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:22,900 --> 00:00:26,870
+ال ..كنا المحاضرة الماضية بدنا نتكلم عن ال
+
+3
+00:00:26,870 --> 00:00:30,350
+coordinates وهميتها في ال computer graphics قلت
+
+4
+00:00:30,350 --> 00:00:34,170
+عشان انا احصل على رسومات منتظمة لازم استخدم دوال
+
+5
+00:00:34,170 --> 00:00:37,370
+رياضية واعتمد على ال coordinates من أجل نحصل على
+
+6
+00:00:37,370 --> 00:00:41,350
+graphic عالي الجودة واتكلمنا في ال Cartesian plane
+
+7
+00:00:41,350 --> 00:00:45,650
+انه كل نقطة بتشكل rectangle مع نقطة الأصل و ال
+
+8
+00:00:45,650 --> 00:00:49,030
+rectangle هذا بتحدث زي ما قلنا نقطتين اللي هي ال X
+
+9
+00:00:49,030 --> 00:00:52,250
+و ال Y اللي هم حسمناهم ال coordinates لنقطة و
+
+10
+00:00:52,250 --> 00:00:56,470
+نكتبهم عليها شكل زوجمرتب وبنبدأ بمحوظ بال X Axis
+
+11
+00:00:56,470 --> 00:01:00,630
+وبعدين بننتقل لل Y Axis في الموضوع هذه وبعد هيك
+
+12
+00:01:00,630 --> 00:01:02,890
+اتكلمنا ان الدوال الرياضية اللي احنا شفناها في
+
+13
+00:01:02,890 --> 00:01:06,730
+الشباتر الماضية لها استخدام واستخدام مهم جدا بحيث
+
+14
+00:01:06,730 --> 00:01:11,930
+انه من خلال الدوال هذه بقدر اتحكم في حركة ال
+
+15
+00:01:11,930 --> 00:01:16,460
+objectأو الأشكال اللي عندي أو شدة الإضاءة عليها أو
+
+16
+00:01:16,460 --> 00:01:19,420
+حتى التحكم بال virtual camera اللي ممكن تكون
+
+17
+00:01:19,420 --> 00:01:23,560
+موجودة وشوفنا كيف ممكن تكون العلاق لما بتكلم على
+
+18
+00:01:23,560 --> 00:01:26,960
+مصطلح ال frames معناه اننا بتكلم على زمن بتكلم على
+
+19
+00:01:26,960 --> 00:01:30,880
+عدد ال frame في الثانية الواحدة واتكلمنا برضه هان
+
+20
+00:01:30,880 --> 00:01:36,140
+ال care هذا على سبيل المثال بمثلالـ brightness مع
+
+21
+00:01:36,140 --> 00:01:38,540
+الـ frame اللي بتمثل الـ time ال brightness جدّت
+
+22
+00:01:38,540 --> 00:01:41,720
+الإضاءة و ضربنا مثل لو كان فيه شمس و عنده مجموعة
+
+23
+00:01:41,720 --> 00:01:46,440
+من ال clouds بتتحرك إلى آخرهابعدين انتقلنا على او
+
+24
+00:01:46,440 --> 00:01:49,280
+اتعرفنا على ال shapes بشكل عام انه انا فيه عندي 2D
+
+25
+00:01:49,280 --> 00:01:54,180
+وفيه عندي 3D .. 2D shapes و3D objects من ال shapes
+
+26
+00:01:54,180 --> 00:01:57,320
+أصبحت بتكلم على polygons وال polygons قولنا هو
+
+27
+00:01:57,320 --> 00:02:00,480
+عبارة عن sequence او chain من النقاط مجموعة من
+
+28
+00:02:00,480 --> 00:02:05,580
+النقاط او ال vertices تمام متصلة مع بعضها من خلال
+
+29
+00:02:05,580 --> 00:02:09,480
+خط مستقيم وهذا كان مجمل الكلام اللي احنا ذكرناه
+
+30
+00:02:09,480 --> 00:02:13,800
+المحاضرة الماضية وانتقلنا لنقطة مهمة جدا كانتانه
+
+31
+00:02:13,800 --> 00:02:17,980
+انا فعليا باعتمادي على النقاط في ال coordinate
+
+32
+00:02:17,980 --> 00:02:23,180
+system صار بإمكاني اعمل scaling لل object او عفوا
+
+33
+00:02:23,180 --> 00:02:27,480
+لل shape من خلال ضربه في factor scale يعني اعادة
+
+34
+00:02:27,480 --> 00:02:32,080
+التحجيم او resizing scaling يعني resizing لما انا
+
+35
+00:02:32,080 --> 00:02:34,940
+بدربه في اتنين بدربه نقاط في اتنين معينة لما بكبر
+
+36
+00:02:34,940 --> 00:02:38,940
+ال shape اللي عندي بدربه في نصفاللي بتكلم إنه
+
+37
+00:02:38,940 --> 00:02:41,640
+فعلياً الـ Scaling هي عملية ضرب في factor معين
+
+38
+00:02:41,640 --> 00:02:46,140
+جدّوش أنت بدك تغير الحجم كذلك لـ Transition
+
+39
+00:02:46,140 --> 00:02:50,060
+الإزاحة لما تضيف على النقطة قيمة معناته أنا جاعت
+
+40
+00:02:50,060 --> 00:02:53,060
+بزيح ال object اللي عارفه عن ال shape إما لليمين
+
+41
+00:02:53,060 --> 00:02:56,240
+أو اليسار الأعلى أو الأسفل حسب من القيمة اللي أنا
+
+42
+00:02:56,240 --> 00:03:00,140
+بدي أضيفها وشوفنا بعد هي في نهاية المحاضرة الماضية
+
+43
+00:03:00,140 --> 00:03:05,800
+إنه كيف ممكن أنا أستفيد من النقاط و أحسب مساحة ال
+
+44
+00:03:05,800 --> 00:03:10,060
+bullion اللي موجودة عندنا هناوقلنا عملية الحساب
+
+45
+00:03:10,060 --> 00:03:14,780
+عملية بسيطة جدا هي عبارة عن ضرب تمام تبادل ما بين
+
+46
+00:03:14,780 --> 00:03:24,100
+النقاط اللي موجودة عندهان بحيث ان X0 في Y1 ناقص Y0
+
+47
+00:03:24,100 --> 00:03:31,220
+في X1 مجموعهمX1 في Y2 وهكذا مع كل اللقاءات هذا
+
+48
+00:03:31,220 --> 00:03:36,800
+المجموع نصه يساوي مساحة ال polygon الشكل اللي
+
+49
+00:03:36,800 --> 00:03:40,060
+موجود عندها واتكلمنا يا شباب في النهاية المحاضرة
+
+50
+00:03:40,060 --> 00:03:43,940
+بالتحديد انه يا جماعة الخير لو طلعت معاك الإشارة
+
+51
+00:03:43,940 --> 00:03:49,340
+سالبة ماتجلدش لأن أولا مافيش عندي area بالسالب
+
+52
+00:03:49,340 --> 00:03:53,000
+تمام؟ انت تخيل مساحة بالسالب شو يعني؟ مديون من
+
+53
+00:03:53,000 --> 00:04:00,190
+وين؟تمام؟ مافيش لها وجود، مصبوط؟ و .. خش رجية؟ كيف
+
+54
+00:04:00,190 --> 00:04:03,330
+بتخش و بتطلع؟ إدمان ياسد، يعني القيل okay أصغر
+
+55
+00:04:03,330 --> 00:04:09,290
+مساحة صفر، مصبوط؟ أصغر مساحة ممكن تتكلم عليها صفر،
+
+56
+00:04:09,290 --> 00:04:12,250
+اللي هي أساسا مش مساحة، اللي هي مش مساحة أو كيف هي
+
+57
+00:04:12,250 --> 00:04:16,480
+تكون بالسالم، دخلت في البعد العاشر و اختفت؟بصبور
+
+58
+00:04:16,480 --> 00:04:20,440
+تنقلب راح تعمله التاني يعني صارت out of our
+
+59
+00:04:20,440 --> 00:04:24,900
+imagination بطل خارج كخيلنا مش قويتنا لكن اللي
+
+60
+00:04:24,900 --> 00:04:29,280
+بنأكد عليه انه الإشارة السادية بقى تعني ان ال
+
+61
+00:04:29,280 --> 00:04:35,200
+chain تبعتك سلسلة نقاط انشيت فيها مع قارب الساعةمع
+
+62
+00:04:35,200 --> 00:04:38,780
+عقاري بالساعة الإشارة السالبة تعني انه انا لما
+
+63
+00:04:38,780 --> 00:04:42,420
+مسيط بال chain مع عقاري بالساعة وخدنا المثال
+
+64
+00:04:42,420 --> 00:04:45,820
+وحلينا مع عقاري بالساعة و ضد عقاري بالساعة وشوفنا
+
+65
+00:04:45,820 --> 00:04:49,460
+ال result اللي موجودة وخلينا هذا مثال قبل لحظات
+
+66
+00:04:49,460 --> 00:04:53,840
+أضافته خلينا نستذكر مع بعض انه انا فعاليا كيف
+
+67
+00:04:53,840 --> 00:04:59,080
+اشتغلت الان بقلتلك كيفي عندك shape polygon بصبورت
+
+68
+00:05:01,800 --> 00:05:06,520
+بوليجون؟ بوليجون لأنه مجموعة من النقاط وبين كل
+
+69
+00:05:06,520 --> 00:05:09,240
+نقطين فيها انت خط مستقيم بالتالي أنا بتكلم على
+
+70
+00:05:09,240 --> 00:05:13,620
+بوليجون ايش مساحته؟ بتحسب المساحة الآن بكل بساطة
+
+71
+00:05:13,620 --> 00:05:19,880
+بإمكانك تحدد أي نقطة من النقاط هدول كنقطة بداية
+
+72
+00:05:19,880 --> 00:05:25,400
+انا بدي اخد النقطة هاي عسب المثال اناتمام، هي لقم
+
+73
+00:05:25,400 --> 00:05:30,400
+واحد، بدي أنشي مع ولا ضد عقاري بالساعة؟ مش هتفرج
+
+74
+00:05:30,400 --> 00:05:33,400
+كتير مهايا، ضد عقاري بالساعة معناته هو بدي هيك
+
+75
+00:05:33,400 --> 00:05:37,160
+ميندي أروح، وهيك لازم تكون ال area موجبة، إذا
+
+76
+00:05:37,160 --> 00:05:42,220
+أمشيت بالاتجاه هذا وغلطت، يعني فيه end مشكلة، في
+
+77
+00:05:42,220 --> 00:05:45,760
+حالة زي هذه يا شباب، بشكل سريع، رتب اللقاء تحت بعض
+
+78
+00:05:45,760 --> 00:05:52,750
+عشان انت لاياشي ترتاح، هي 0 و 8تمام؟ سالب خمسة و
+
+79
+00:05:52,750 --> 00:05:57,950
+تلاتة اللي بعدها سالب اتنين و اربعة ستة و سالب
+
+80
+00:05:57,950 --> 00:06:03,970
+واحد ستة و خمسة ليش الترتيب هذا انا عملته عشان
+
+81
+00:06:03,970 --> 00:06:07,610
+تضرب التبادل يكون اسهل الي هذا .. هذا مش .. هذا مش
+
+82
+00:06:07,610 --> 00:06:10,630
+الحل هذا عشان تسهل عليك عمل دي الحل فبعدين انا
+
+83
+00:06:10,630 --> 00:06:21,100
+بقول ان ال area تساوي نص الآن صفر ناقصحرام عليك
+
+84
+00:06:21,100 --> 00:06:34,360
+صفر في تلاتة ناقص تأمني في سالب خمسة ليش
+
+85
+00:06:34,360 --> 00:06:38,520
+سالب اتنين و سالب اربعة؟ وينها؟ طيب سالب اتنين و
+
+86
+00:06:38,520 --> 00:06:44,250
+اربعة او سالب اربعة عاقى ماشي ماشيسالب اربع اكيد
+
+87
+00:06:44,250 --> 00:06:50,430
+الان هان عملية الضرب شباب سفر فى تلاتة بطرح منها
+
+88
+00:06:50,430 --> 00:06:55,810
+تمانية فى ناقص خمسة ناقص ناقص اربعين زائد اربعين
+
+89
+00:06:55,810 --> 00:07:03,970
+اللى بعدها ناقص خمسة عشرين تلاتة فى سالب اتنين
+
+90
+00:07:03,970 --> 00:07:12,270
+زائد ستة زائد اتنين سالب واحد اتنين
+
+91
+00:07:15,760 --> 00:07:22,000
+زائد اربعة عشرين ناقص سالب اربعة يعني زائد اربعة و
+
+92
+00:07:22,000 --> 00:07:32,520
+عشرين زائد تلاتين ناقص سالب واحد في ستة بتصير زائد
+
+93
+00:07:32,520 --> 00:07:39,120
+ستة زائد ستة
+
+94
+00:07:39,120 --> 00:07:45,510
+في تمانية ستة في تمانية شبهتبانية و اربعين معاقص
+
+95
+00:07:45,510 --> 00:07:53,490
+خمسة في صفر صفر الان
+
+96
+00:07:53,490 --> 00:07:56,910
+بتستخدم ال calculator عندك اربعين ستة و عشرين ها
+
+97
+00:07:56,910 --> 00:08:01,010
+ستة و ستين جدش
+
+98
+00:08:01,010 --> 00:08:03,430
+متأكد ان انا بطلت اعتمد عليكم في الصحيح في الجامعة
+
+99
+00:08:03,430 --> 00:08:09,790
+صحيح الرقم الجامعة ولا اي كلام جدش القيمة اللي
+
+100
+00:08:09,790 --> 00:08:19,260
+قلتها ميةستة وسبعين نصهم الشباب كبشة انا عارف ان
+
+101
+00:08:19,260 --> 00:08:25,280
+انا كبشة تلاتة و ادى خمسة و تمانين او تمانية و
+
+102
+00:08:25,280 --> 00:08:28,880
+تمانين المساحة مساحة ال polygon اللى عندى هان
+
+103
+00:08:28,880 --> 00:08:36,080
+تمانية و تمانينالآن لو أنا مشيت مع قارب الساعة
+
+104
+00:08:36,080 --> 00:08:40,200
+بالاتجاه هذا، إيش اللي هيقلف معايا؟ هتطلع الإشارة
+
+105
+00:08:40,200 --> 00:08:44,180
+اللي معايا هذه السالبة وفي الآخر تتقل على الـ 88
+
+106
+00:08:44,180 --> 00:08:50,700
+تمام يا شباب؟
+
+107
+00:08:50,700 --> 00:08:56,860
+تمام نعم هتحر؟
+
+108
+00:08:56,860 --> 00:08:58,540
+نعم
+
+109
+00:09:01,940 --> 00:09:05,540
+ما هيبقى اتكمل السلسلة مش اخر نقطة هذه متصلة مع
+
+110
+00:09:05,540 --> 00:09:15,500
+هذه بصبرت فلازم اتكملها طيب الان كذلك من خصائص من
+
+111
+00:09:15,500 --> 00:09:20,600
+عناصر ال shares لو انا سألتك احنا حسبنا المساحة
+
+112
+00:09:20,600 --> 00:09:27,090
+نعم 88 جدش المحيط طبعهمجموعة الأطوار ماكانتش قلطلة
+
+113
+00:09:27,090 --> 00:09:34,370
+فيهم الفاق بين النقطين مصبوط وبالتالي يعني الآن
+
+114
+00:09:34,370 --> 00:09:39,270
+قانون فيثا غورس بيقول او يعتمد على المساحة ما بين
+
+115
+00:09:39,270 --> 00:09:46,870
+نقطتين في عندي بي واحد اللي هي X واحد وY واحد وفي
+
+116
+00:09:46,870 --> 00:09:54,470
+عندي بي اتنين X اتنينY2 ففي تغيير سوصل لنتيجة ان
+
+117
+00:09:54,470 --> 00:10:00,990
+ال distance المسافة بين النقطين تساوي الجذر
+
+118
+00:10:00,990 --> 00:10:05,470
+التربيعي لقيمة
+
+119
+00:10:05,470 --> 00:10:10,770
+التغيير تمام لتربيع التغيير على النقطة X زائد
+
+120
+00:10:10,770 --> 00:10:15,550
+تربيع التغيير على النقطة Y ايش التغيير هنا شباب
+
+121
+00:10:15,550 --> 00:10:26,490
+Delta X هذهاللي هي عبارة عن X2 نقص X1 وDelta Y Y2
+
+122
+00:10:26,490 --> 00:10:31,210
+نقص Y طب لو أنا عكسته مش هيقلش مصير معايا لو قلت
+
+123
+00:10:31,210 --> 00:10:40,010
+Y1 نقص Y2 و X1 تطلع سالبة لكن مع التربيع بروح فانت
+
+124
+00:10:40,010 --> 00:10:44,630
+الان عشان ايه بنقول احنا الفرق ما بين النقطين
+
+125
+00:10:44,630 --> 00:10:47,490
+هدولة هو مقدار التغيير اللي أنا بتكلم عليه طب بدي
+
+126
+00:10:47,490 --> 00:10:54,780
+أرجع مباشرةللمثال هذا الآن الدليل الأول يا شباب
+
+127
+00:10:54,780 --> 00:11:04,900
+جدّاش الطول طبعه يساوي الجدر التربيعي ستة تربيع
+
+128
+00:11:04,900 --> 00:11:16,460
+ماقص أو زائد عفوان سالب تلاتة تربيع وعادة
+
+129
+00:11:16,460 --> 00:11:17,260
+الشباب نعم
+
+130
+00:11:21,410 --> 00:11:24,490
+هو بكل بساطة هذه المثلث قائمة زاجة صار في عندك يا
+
+131
+00:11:24,490 --> 00:11:30,330
+كامل طب ايش بتفرج ما هو نفس القانون في الآخر قانون
+
+132
+00:11:30,330 --> 00:11:35,170
+احنا عاملا بيقولك قانون في ثغورس أصبت؟ وبالتالي يا
+
+133
+00:11:35,170 --> 00:11:39,310
+شباب انا الآن اللي بدي يا منك دائما القطر اللي
+
+134
+00:11:39,310 --> 00:11:44,670
+اطلع هذا هو عبارة عن الجذر التربيعي لأ بدك تبرح
+
+135
+00:11:44,670 --> 00:11:54,250
+اما X1-Y1بتجمع تربعهم X واحد نقص X اتنين Y واحد
+
+136
+00:11:54,250 --> 00:12:00,130
+نقص Y اتنين بينفع اتبدل يعني مرة عايز اقول X واحد
+
+137
+00:12:00,130 --> 00:12:06,590
+نقص X اتنين لكل تربيع زائد Y اتنين نقص Y واحد لكل
+
+138
+00:12:06,590 --> 00:12:11,530
+تربيع بينفع عارفش اللي خدمك في الموضوع التربيع
+
+139
+00:12:11,530 --> 00:12:17,460
+اللي خدمك في الموضوع التربيعبالتالي لك اعود نفسك
+
+140
+00:12:17,460 --> 00:12:20,840
+اشتغل انت ايش one direction طريقة واحدة وثبت حالك
+
+141
+00:12:20,840 --> 00:12:28,600
+الان انا قبل شوية حسبت ستة ناقص صفر ستة تربيع زائد
+
+142
+00:12:28,600 --> 00:12:34,160
+خمسة ناقص تمانية ناقص ثلاثة تربيع ستة وتلاتين
+
+143
+00:12:34,160 --> 00:12:38,380
+وكسعة شباب خمسة واربعين
+
+144
+00:12:43,590 --> 00:12:48,910
+مع التربية بصي العملية أبدلية ماجس طبيعي هو بشكل
+
+145
+00:12:48,910 --> 00:12:52,590
+أدق أنه السالب الإشارة بتروح يعني بحصل على القيمة
+
+146
+00:12:52,590 --> 00:12:56,090
+المطلقة أنا مع التربية بحصل على القيمة المطلقة
+
+147
+00:12:56,090 --> 00:12:59,290
+اللي موجودة عندي يعني تقريبا ستة و نص إذا مافيش
+
+148
+00:12:59,290 --> 00:13:02,830
+calculator وليش رأيك؟ أكتر من ستة و نص ستة و
+
+149
+00:13:02,830 --> 00:13:09,790
+تمانية من عشرة بس مستحيل تصل سبعة لتسعة و أربعين
+
+150
+00:13:12,910 --> 00:13:15,450
+تقريبا، تمام؟ معاك calculator احسبها و ادينا
+
+151
+00:13:15,450 --> 00:13:21,130
+القيمة الحقيقية نعم لأ اذا قلتلك معاك calculator
+
+152
+00:13:21,130 --> 00:13:25,250
+هم هتدينا القيمة الحقيقية اه فيه calculator مافيش
+
+153
+00:13:25,250 --> 00:13:36,410
+مشكلة قلتلك طيب، تمام يا شباب؟ نفس
+
+154
+00:13:36,410 --> 00:13:41,130
+الكلام هيبلغوا بشكل اخر لما انا بدى احسب النقاط هي
+
+155
+00:13:41,130 --> 00:13:41,650
+D1
+
+156
+00:13:44,540 --> 00:13:51,580
+واحد نقص تلاتة تربيع زائد واحد نقص واحد تربيع جذر
+
+157
+00:13:51,580 --> 00:13:58,980
+الأربعة اتنين دي اتنين تلاتة نقص تلاتة تربيع صفر
+
+158
+00:13:58,980 --> 00:14:06,320
+اتنين نقص واحد واحد تربيع تحت الجذر واحد تلاتة نقص
+
+159
+00:14:06,320 --> 00:14:10,680
+واحد اتنين تربيع اتنين نقص واحد
+
+160
+00:14:13,840 --> 00:14:18,300
+نقص ثلاثة يعرفون ثلاثة نقص واحد اتنين تربيع اتنين
+
+161
+00:14:18,300 --> 00:14:23,640
+نقص ثلاثة نقص واحد معناته اتصرفي اندي جدر الخمسة
+
+162
+00:14:24,470 --> 00:14:28,810
+والدلع الأخر بنفس الكيفية واحد نقص واحد تربيع
+
+163
+00:14:28,810 --> 00:14:34,510
+تلاتة نقص واحد تربيع اربعة تربيع او عفوا اتنين
+
+164
+00:14:34,510 --> 00:14:38,810
+تربيع ثم بتكلم على اتنين بالتالي مافيش عندي اي
+
+165
+00:14:38,810 --> 00:14:42,350
+مشكلة في التعامل مع حساب الحساب المساحة بتاعة ال
+
+166
+00:14:42,350 --> 00:14:49,510
+polygon او المحيط الخاص بال polygon polygon يعني
+
+167
+00:14:49,510 --> 00:14:54,990
+to the shape ولا شو رايكو2D بدا نمتقله لو انا بدي
+
+168
+00:14:54,990 --> 00:14:57,210
+امثل الـ Cartesian system او الـ Cartesian
+
+169
+00:14:57,210 --> 00:15:07,950
+coordinates في الـ 3D 3D بقبل كفيني انا X و Y لأن
+
+170
+00:15:07,950 --> 00:15:14,130
+هدول صار فيه 2D تمام؟ لما انا بدي اتكلم على 3D
+
+171
+00:15:14,130 --> 00:15:19,070
+هتتخيل المحور هيه اللي هو الجرم هو المحور التالت
+
+172
+00:15:19,070 --> 00:15:23,060
+لازم يكون متعامد عليهم اوداخل و رايح على الغرفة
+
+173
+00:15:23,060 --> 00:15:26,940
+التانية بالاتجاه التاني او تتخيلوا بالاتجاهين مافي
+
+174
+00:15:26,940 --> 00:15:32,460
+مشكلة عندنا قلنا من اهم ما يميز الـ3D ان و أنا فيه
+
+175
+00:15:32,460 --> 00:15:36,920
+عندي faces في عندي وجوه و الوجوه هذه لاحقا بدي
+
+176
+00:15:36,920 --> 00:15:40,940
+اقول اي وجه بدي يظهر عندي للكاميرا مثل ما طرحنا في
+
+177
+00:15:40,940 --> 00:15:44,020
+موضوع المحاضرة الماضية لما اتكلمنا عن المكعب و انا
+
+178
+00:15:44,020 --> 00:15:47,020
+بدي اعمله rotation او بدي اعمله rotation اي شكل
+
+179
+00:15:50,150 --> 00:15:55,290
+3D objects معناته انا بتتكلم على 3D space تمام ال
+
+180
+00:15:55,290 --> 00:15:59,890
+two coordinates اللي موجود عندى عشان احقق نقطة two
+
+181
+00:15:59,890 --> 00:16:04,510
+coordinates X وY بتحدد نقطة معناته انا بحاجة الى
+
+182
+00:16:04,510 --> 00:16:12,450
+كمان نحوة تمام عشان يبقى عندى الشكل في ال 3D او
+
+183
+00:16:12,450 --> 00:16:15,850
+نتكلم على الحجم تبع الشكل اللي موجود عندى او ال
+
+184
+00:16:15,850 --> 00:16:21,870
+object اللي عندى وهذا احنا سميناه Zطيب الأول عين
+
+185
+00:16:21,870 --> 00:16:31,030
+بالعربي سين وصاد وعين الآن حسب الاتجاه حسب الاتجاه
+
+186
+00:16:31,030 --> 00:16:37,810
+انا فعليا بما ان هذا البعد التالت او المحور التالت
+
+187
+00:16:37,810 --> 00:16:43,060
+مش هقدر ارسم مجاشرة على الورقبتقدر ترسمه على ورقة
+
+188
+00:16:43,060 --> 00:16:47,240
+يا شباب بحيث اللي بيبين طالع على برا مستحيل مصبوط
+
+189
+00:16:47,240 --> 00:16:51,780
+طيب ايش الحل عشان اقدر اتخيله بقولك انت ممكن
+
+190
+00:16:51,780 --> 00:16:56,220
+تستخدم ايدك الشمال ال left handed system هي ايد
+
+191
+00:16:56,220 --> 00:17:01,060
+الشمال واستخدم مسدس
+
+192
+00:17:01,060 --> 00:17:10,020
+لا مش مسدس اكيد ابهام سبابة ووسطة بقولك ان الابهام
+
+193
+00:17:11,350 --> 00:17:18,050
+تمام؟ يشير لـ X Axis الابهام
+
+194
+00:17:18,050 --> 00:17:24,050
+الـ X الابهام الـ X ثمب و ال first finger السبابة
+
+195
+00:17:24,050 --> 00:17:30,670
+بده يشير لل Y تمام؟ هاي X الشيء اللي بده يقلب من
+
+196
+00:17:30,670 --> 00:17:35,310
+اتجاه التاني بس مفكه في تيدك يعني الآن هاي ال X
+
+197
+00:17:35,310 --> 00:17:41,590
+إما بتنظرها هيكهي X وY متعمد عليه و لا شو رأيكوا؟
+
+198
+00:17:41,590 --> 00:17:48,830
+تمام؟ الأنظر عندي مين؟ الـ Z في المسطر هاي لاحظوا
+
+199
+00:17:48,830 --> 00:17:54,470
+تقريبا متعمدين على بعض إذا إنا والله الـ X بدي أده
+
+200
+00:17:54,470 --> 00:18:00,370
+اتجاه التاني بس كل ما دولة في إيدك، أصبت؟ تلوح
+
+201
+00:18:00,370 --> 00:18:07,580
+إيدك؟ لأ بتلتوحش جلبة، ماشي الحالبالمجمع لشباب حتى
+
+202
+00:18:07,580 --> 00:18:14,400
+لما انا باتكلم على نظام الايد تمام و طبعا ال right
+
+203
+00:18:14,400 --> 00:18:21,820
+hand نفس الكلام حسب
+
+204
+00:18:21,820 --> 00:18:25,980
+الاتجاه اللي انت بدك هي اي
+
+205
+00:18:25,980 --> 00:18:30,420
+واحدة مش قضية كتير لأنه كمان مرة البعد هذا انا بدي
+
+206
+00:18:30,420 --> 00:18:36,750
+اتخيله تخيله الآنتمام؟ السؤال اللي بيطرح نفسه طيب
+
+207
+00:18:36,750 --> 00:18:44,090
+يا سنة أظبط؟ في قول وفي عرض وفي عمق طب العمق بدي
+
+208
+00:18:44,090 --> 00:18:48,610
+أحسبه عفوا من الدهار للبطن ولا من البطن للدهار؟ مش
+
+209
+00:18:48,610 --> 00:18:52,510
+هتفرج كتير معايا بس في الآخر في نقطة بداية ونقطة
+
+210
+00:18:52,510 --> 00:18:57,990
+نهاية في هذه القيمة أو هذه المحور متعامد على السطح
+
+211
+00:18:57,990 --> 00:19:01,930
+يعني الآن لو أنا تخيلت اللوحة ده كلها ياتوا تمام؟
+
+212
+00:19:02,760 --> 00:19:06,840
+عبارة عن الـ X-axis أو الـ Cartesian plane X و Y
+
+213
+00:19:06,840 --> 00:19:14,880
+هاي X وهاي Y متعامد
+
+214
+00:19:14,880 --> 00:19:19,520
+عليه مش جواته بكون بشكل قائمة أو زاوية قائمة مع
+
+215
+00:19:19,520 --> 00:19:25,930
+السطح يعني بينفعش أنا قاعدي أقول والله هيهلأ لازم
+
+216
+00:19:25,930 --> 00:19:29,170
+يكون قاعد تمام على السطح عشان أجمن أن الزاوية تكون
+
+217
+00:19:29,170 --> 00:19:32,930
+عندى إيش رامة و لما بقول هو على نقطة تمام و نقطة
+
+218
+00:19:32,930 --> 00:19:35,570
+التقاطة هي نقطة ال origin الشباب أو نقطة الأصل
+
+219
+00:19:35,570 --> 00:19:40,390
+اللى موجودة على النهر طبعا
+
+220
+00:19:40,390 --> 00:19:42,550
+اختيارك اللى بيبتديها زى ما قلنا شكل عشوائي مش
+
+221
+00:19:42,550 --> 00:19:47,150
+قضية كتير بالنسبة لنا و خصوصا .. خصوصا لو أنا
+
+222
+00:19:47,150 --> 00:19:51,550
+قلتلك بيبقى نتكلم على البعد الرابع الزمن زى ما
+
+223
+00:19:51,550 --> 00:19:55,980
+بتكلم البعضيعني بالشبكة دي بتنتهي مع بعض عشان يجيب
+
+224
+00:19:55,980 --> 00:20:00,860
+الاتجاه مش هتصبط وزي ما قلتلك موضوع الـIndie عبارة
+
+225
+00:20:00,860 --> 00:20:05,240
+عن شغل تخيلية تمام؟ عشان أحاول أتنبأ بالاتجاه وين
+
+226
+00:20:05,240 --> 00:20:11,680
+بدي يكون موجودة انديهان كتابنا بيعتمد على ال right
+
+227
+00:20:11,680 --> 00:20:18,240
+-hand system مش خبية كتير بالنسبالنا بيبقى الآن هو
+
+228
+00:20:18,240 --> 00:20:24,200
+انا زي سؤالتك كانت تالي ايش مساحة المكعب؟ما احنا
+
+229
+00:20:24,200 --> 00:20:27,960
+تحكيلها في المحاضرة الماضية يا جماعة الخير لما أنا
+
+230
+00:20:27,960 --> 00:20:33,080
+بقى مافيش مساحة من جول المكعب أي 3D object مافيش
+
+231
+00:20:33,080 --> 00:20:38,580
+مساحة ممكن يدرس عليك السؤال يقولك اتديني مساحة
+
+232
+00:20:38,580 --> 00:20:45,960
+سطحه هيك ماكتساوي؟ لا يا صاحبي بدك تحسب مساحة وجه
+
+233
+00:20:45,960 --> 00:20:51,000
+الواحد و تضربه في ستة تفرج لو انا فكرت لو انا فكرت
+
+234
+00:20:51,000 --> 00:20:53,020
+يا شباب افرد المكعب
+
+235
+00:20:55,550 --> 00:21:05,910
+بدي ست أوجه، هاي أول مربع فيهم جدش
+
+236
+00:21:05,910 --> 00:21:11,770
+هدول؟ خمسة، كمان واحد فوق أول، في أي اتجاه؟ هايه
+
+237
+00:21:11,770 --> 00:21:15,030
+الغطاية،
+
+238
+00:21:15,030 --> 00:21:22,950
+بصبت؟ ده أي اتجاه ده جدش كمان مربع عليهم إياك تفكر
+
+239
+00:21:22,950 --> 00:21:28,760
+إن كل هذا حيصير مربع واحد، هيكلا يا صاحبي فعشان لو
+
+240
+00:21:28,760 --> 00:21:32,640
+احنا طلب .. هيك لو ايدي كانت السؤال بيقولك اديني
+
+241
+00:21:32,640 --> 00:21:36,860
+مساحة المكعب او اديني مساحة الهرم و اقعد ترد عليه
+
+242
+00:21:36,860 --> 00:21:41,900
+قوله انت بكل بساطة بتقصد حجم الهرم و لا مساحة
+
+243
+00:21:41,900 --> 00:21:47,320
+السطح تبعت الهرم بتسكر .. بتسكرته مباشرة بسكت خلاص
+
+244
+00:21:47,320 --> 00:21:51,800
+بفهمك و بغير السؤال مشولك سؤال تاني طبعا العبغية
+
+245
+00:21:51,800 --> 00:22:05,260
+بالضبط هي هيك الآية المباشرةالـ 2D عبارة
+
+246
+00:22:05,260 --> 00:22:11,760
+عن مجموعة من المربعات المتجاورة الان لسه في ناس
+
+247
+00:22:11,760 --> 00:22:14,860
+بتفكر وجهها بيقول مصبوخ الكلام هاي ست أوجه هدولة
+
+248
+00:22:14,860 --> 00:22:20,810
+بديهم مكعبوبالتالي باخد مساحة وجه واحد وبضربه فيه
+
+249
+00:22:20,810 --> 00:22:25,070
+اش عدده في ستة وبالتالي بقدر اتكلم على مساحة السطح
+
+250
+00:22:25,070 --> 00:22:30,750
+للمكعب وحجمه كله احنا بنعرفه اللي هو طول الضلع
+
+251
+00:22:30,750 --> 00:22:35,810
+تكعيب تمام عشان هيك مش هتلاقي بتكلم يقولك والله
+
+252
+00:22:35,810 --> 00:22:39,450
+انا بده احسب المساحة مباشرة اشرح جلك جلك المسافة
+
+253
+00:22:39,450 --> 00:22:41,250
+بين اي نقطتين في ال 3D
+
+254
+00:22:45,830 --> 00:22:50,290
+هذه النقطة وهذه النقطة
+
+255
+00:22:50,290 --> 00:22:55,750
+هنا على طرف أصبعي بينفع دي المسافة بقي المساحة هنا
+
+256
+00:22:55,750 --> 00:23:05,470
+بينفع لأن كل مركبة هتكون عبارة عنتلاتة x و y و z
+
+257
+00:23:05,470 --> 00:23:08,410
+طيب عشان احسب ال distance ايش اللي بده يتغير عقله
+
+258
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+للمسافة السابقة المسافة السابقة عفوا بدي اضيف
+
+259
+00:23:12,010 --> 00:23:16,950
+الفرق على قيمة ال z بدي اضيف الفرق على قيمة ال z
+
+260
+00:23:16,950 --> 00:23:22,150
+okay
+
+261
+00:23:22,150 --> 00:23:30,310
+جلة هى في عندى نقطين بي واحد واحد و اتنين و تلاتة
+
+262
+00:23:30,310 --> 00:23:34,930
+و بي اتنينأربعة و خمسة و ستة و بقوللي هتلي ال
+
+263
+00:23:34,930 --> 00:23:38,430
+distance بين النقطين هدول هتلي المسافة ما بين
+
+264
+00:23:38,430 --> 00:23:47,010
+النقطين هدول ال D بدأ تساوي الجدر التربيعي واحد
+
+265
+00:23:47,010 --> 00:23:53,010
+واحد نقص أربعة تربيع زائد اتنين نقص خمسة تربيع
+
+266
+00:23:53,010 --> 00:23:57,710
+زائد تلاتة نقص ستة تربيع تسعة
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+267
+00:24:01,950 --> 00:24:06,770
+تسعة تسعة جذر
+
+268
+00:24:06,770 --> 00:24:15,310
+السبعة و عشرين حرام عليك خمسة و تلاتة
+
+269
+00:24:15,310 --> 00:24:21,410
+جذر التلاتة خمسة
+
+270
+00:24:21,410 --> 00:24:28,290
+و عشرين مصبوط تقريبا تلاتة من عشرة تقريبا اللي
+
+271
+00:24:28,290 --> 00:24:32,040
+معاك الكليفة بيحسبهاخمسة اتنين فاصلة اتنين فاصلة
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+272
+00:24:32,040 --> 00:24:38,800
+تلاتة بالحدود هاي احنا دايما هيك العرب دايما بنروح
+
+273
+00:24:38,800 --> 00:24:44,260
+جسم العرب عربي تقريبا خمسة فاصلة اتنين مش قضية
+
+274
+00:24:44,260 --> 00:24:53,740
+كتير تمام؟ يا سيد هاي الجدر السابعة وعشرينلو مافيش
+
+275
+00:24:53,740 --> 00:24:57,120
+calculator في الامتحان و كتبتي لي دي ادرس 27 لو
+
+276
+00:24:57,120 --> 00:25:00,920
+مافيش calculator و كتبتيلي دي ادرس 27 تاخد العلامة
+
+277
+00:25:00,920 --> 00:25:05,860
+صح احط calculator و خلاص تصير بالباجع علينا طبعا
+
+278
+00:25:05,860 --> 00:25:17,660
+طيب الان ايش
+
+279
+00:25:17,660 --> 00:25:21,000
+أبسط أبسط شكل
+
+280
+00:25:23,100 --> 00:25:34,680
+في الـ 3D ايش أبسط شكل في الـ 3D الهرم الهرم مخروط
+
+281
+00:25:34,680 --> 00:25:41,360
+مكعب كرة كرة طيب الآن يا شباب عشان نتكلم على أبسط
+
+282
+00:25:41,360 --> 00:25:45,180
+شكل انت ابدأ تخيل فعليا لكل الأشكال اللي انت
+
+283
+00:25:45,180 --> 00:25:51,280
+بتقولها هذه كام نقطة لها ومركبات النقطة جديش الهرم
+
+284
+00:25:53,560 --> 00:25:58,520
+هرم هرم كام نقطة أيه اللي هو كامل؟ خمسة خمسة طب
+
+285
+00:25:58,520 --> 00:26:00,520
+أنا بقول فيه هرب ممكن يكون أربعة المخروط يكون
+
+286
+00:26:00,520 --> 00:26:09,660
+أربعة هرم برضه مخروط مثلث؟ هرم ثلاث؟ هرم ثلاث فيه
+
+287
+00:26:09,660 --> 00:26:17,600
+ثلاثي اه الأساس مثلث حيه طولناها فوق تمام طولناها
+
+288
+00:26:17,600 --> 00:26:18,140
+فوق
+
+289
+00:26:21,780 --> 00:26:24,200
+هي أنا بتطلع عليه من فوق و أنا بتطلع عليه من جنب
+
+290
+00:26:24,200 --> 00:26:36,260
+مصبوط؟ سابقا .. سابقا طيارة بتمان ماشي
+
+291
+00:26:36,260 --> 00:26:42,680
+الحالة صاحني طيب .. الآن لأ في كلام أبسط من هيك
+
+292
+00:26:42,680 --> 00:26:48,540
+بكتير بيجي بقولك أن المثلث .. المثلث هو عبارة عن
+
+293
+00:26:48,540 --> 00:26:57,430
+3D Polygonالمثلث عبارة عن 3D polygon ليش المثلث 3D
+
+294
+00:26:57,430 --> 00:27:03,390
+polygon ممكن تتخيلوا ليش مع أن ال polygon ال
+
+295
+00:27:03,390 --> 00:27:10,790
+polygon 2D تمام لكن بقولك ممكن انا اتكلم على 3D
+
+296
+00:27:10,790 --> 00:27:19,310
+polygon ممكن تتخيل ليش ممكن انا ارسم مثلث في
+
+297
+00:27:19,310 --> 00:27:24,950
+اتجاهات التلاتةفي التلات أبعاد مثلث في التلات
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+298
+00:27:24,950 --> 00:27:39,970
+أبعاد لأ مين بيقول اه يا شباب مستحيل هنقم
+
+299
+00:27:39,970 --> 00:27:45,250
+في الأصل، صح؟
+
+300
+00:27:45,250 --> 00:27:48,810
+عيني
+
+301
+00:27:48,810 --> 00:27:53,160
+عليك، إيش اسمك أنت؟عالى شو ياكوف كلام عالى يا شباب
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+302
+00:27:53,160 --> 00:27:57,840
+عالى بقول بكل بساطة بكل بساطة لو اجيت على ال
+
+303
+00:27:57,840 --> 00:28:02,140
+كارتيزن بني انهيك سيستم هان و روحت رسمت مثلف هيك
+
+304
+00:28:02,140 --> 00:28:06,240
+رسمت
+
+305
+00:28:06,240 --> 00:28:11,460
+مثلف هيك بقدر اقول ان المثلف هذا في ال 3D اه بقدر
+
+306
+00:28:11,460 --> 00:28:18,780
+بحيث ان قيمة ال Z تساوي صفرقيمة الذبط الساوية صفر
+
+307
+00:28:18,780 --> 00:28:26,600
+وبالتالي اللي هو مقتبع المثلث معدوم صفر طب السؤال
+
+308
+00:28:26,600 --> 00:28:36,160
+نفسه كل الأشكال ايش؟ 3D اه طيب الان هالكلام ده
+
+309
+00:28:36,160 --> 00:28:42,570
+بقدر اطبقه على المربع A100% الآن في عندنا مشكلة ..
+
+310
+00:28:42,570 --> 00:28:50,210
+في عندنا مشكلة لو بدأنا نغير اتجاه المثلث ايش
+
+311
+00:28:50,210 --> 00:28:55,430
+بتفجد؟ في المثلث .. هتفجد محور .. بقى مع المربع
+
+312
+00:28:55,430 --> 00:29:01,030
+طيب .. بقى أقولك .. بلاش .. بلاش .. أجيبلك شغلة ..
+
+313
+00:29:01,030 --> 00:29:06,770
+أضحك شغلة تتذكر لما طرحنا مثال المكعب نعمله
+
+314
+00:29:06,770 --> 00:29:10,780
+rotationتخيل .. قلتلك انا تخيل مسكته في ال X axis
+
+315
+00:29:10,780 --> 00:29:15,760
+ثبت ال X axis و بدأت اعمل دوران للأمام او من الخلف
+
+316
+00:29:15,760 --> 00:29:20,120
+ايش بشوف؟ بشوف أربعة .. أربعة .. أربعة .. أربعة ..
+
+317
+00:29:20,120 --> 00:29:21,340
+أربعة .. أربعة .. أربعة .. أربعة .. أربعة .. أربعة
+
+318
+00:29:21,340 --> 00:29:21,480
+.. أربعة .. أربعة .. أربعة .. أربعة .. أربعة ..
+
+319
+00:29:21,480 --> 00:29:21,560
+أربعة .. أربعة .. أربعة .. أربعة .. أربعة .. أربعة
+
+320
+00:29:21,560 --> 00:29:21,560
+.. أربعة .. أربعة .. أربعة .. أربعة .. أربعة ..
+
+321
+00:29:21,560 --> 00:29:21,560
+أربعة .. أربعة .. أربعة .. أربعة .. أربعة .. أربعة
+
+322
+00:29:21,560 --> 00:29:26,220
+.. أربعة .. أربعة .. أربعة .. أربعة .. أربعة ..
+
+323
+00:29:26,220 --> 00:29:32,530
+أربعة .. أربعة .. أربعة .. أربعة .. أربعة ..كمودي
+
+324
+00:29:32,530 --> 00:29:37,830
+بشوف كحد أقصى كنت بشوف اتنين مع بعض متى لما بتصير
+
+325
+00:29:37,830 --> 00:29:42,870
+الزاوية في المنتصف بينجو سي لما صار في عندي مثلثين
+
+326
+00:29:42,870 --> 00:29:49,410
+طبعا هيا 3D object و لا 3D object لو أنا جالس
+
+327
+00:29:49,410 --> 00:29:54,730
+قلتلك أنا هين ثبتت الشكل أصابعي الآن بمعاسكة ال X
+
+328
+00:29:54,730 --> 00:30:00,950
+-axis طبعا و بدأت ألف أنا الآن كل كوشة في كمودي
+
+329
+00:30:05,980 --> 00:30:11,620
+واحد و بعدين ألوف لما صرت اتنين انت فعليا المساحة
+
+330
+00:30:11,620 --> 00:30:15,580
+اللي تشكل اللي بنشوف شكل مثلث بصبعط؟ طيب لو انا من
+
+331
+00:30:15,580 --> 00:30:19,740
+البداية امسكت المحاور بالشكل هذا كم ودي شايف انت
+
+332
+00:30:19,740 --> 00:30:22,880
+already؟ تلاتة لان المفروض اني تكون مرفوعة هيك انا
+
+333
+00:30:22,880 --> 00:30:28,120
+صح؟ ليش؟ لأن نظرك شكل مثلث بالكامل عشان هيك هو
+
+334
+00:30:28,120 --> 00:30:33,160
+جالك المثلث اسهل او اقصد شكل في البوليوين المثلث
+
+335
+00:30:33,160 --> 00:30:46,960
+طيبتخيل يا سيدي هذه الرسمات هذه في ال design هى
+
+336
+00:30:46,960 --> 00:30:53,060
+عبارة عن مجموعة من المثلثات طب
+
+337
+00:30:53,060 --> 00:30:59,120
+انا بروح برسمه مرة واحدة و بخلص شو رأيك هو؟ مينفع؟
+
+338
+00:30:59,120 --> 00:31:03,120
+بيطلعش بالدقة نفسها شو بمقصود في الدقة عندك؟ ايوة
+
+339
+00:31:03,120 --> 00:31:10,600
+العمقالإحداثيات طيب الأوجه الآن يا شباب لما أنا
+
+340
+00:31:10,600 --> 00:31:14,900
+بانتقل أو بحاول أعمل simulation أو أحاكي الـ real
+
+341
+00:31:14,900 --> 00:31:19,200
+object زي السيارة أو الإنسان أو الطائر أو .. أو
+
+342
+00:31:19,200 --> 00:31:24,060
+الاخره التفاصيل كبعت كتيرة مابهمش يعني لما أنا
+
+343
+00:31:24,060 --> 00:31:28,560
+بتحرك جبال الكاميرا تمام غير ما بجيب ال box أو ال
+
+344
+00:31:28,560 --> 00:31:31,600
+box هذا و إيش أو الصندوق هذا و إيش و بحركه جبال
+
+345
+00:31:31,600 --> 00:31:38,700
+الكاميرا ليش لأن smoothومافيش تفاصيل بينمافي
+
+346
+00:31:38,700 --> 00:31:43,580
+وجهنا، أنا كبشر الآن، هين مباشرة،
+العينين غادسة
+
+347
+00:31:43,580 --> 00:31:47,180
+لتحت شوية، الأنف طالع لبرا، الشفايف، الشعر، لودان
+
+348
+00:31:47,180 --> 00:31:50,500
+البينات. لما ببدأ ألف، يا شباب،
+انت ما تشوفش كل
+
+349
+00:31:50,500 --> 00:31:54,320
+الوجه مرة واحدة، تبدأ تشوف بعض التفاصيل اللي بتجي
+
+350
+00:31:54,320 --> 00:31:57,500
+عليها أيش؟ عينك، اللي هي الكاميرا، بتجي عليها
+
+351
+00:31:57,500 --> 00:32:00,560
+عينك، لحد ما تصل .. لأنك مش شايف تصل الودن، ولا
+
+352
+00:32:00,560 --> 00:32:03,200
+شايف اللي موجود جوا الودن، مصبور؟ اللي هي التجويف
+
+353
+00:32:03,200 --> 00:32:07,470
+اللي موجود فيها. لكن لما تسيري جبالك،اللي بيساعدك
+
+354
+00:32:07,470 --> 00:32:12,910
+على جيب التفاصيل هذه المثلثات لما انا بصمم كل شي
+
+355
+00:32:12,910 --> 00:32:17,710
+في ال graph تبعي يكون مبني على انه مثلث بصير انت
+
+356
+00:32:17,710 --> 00:32:21,830
+تخيله هو بتحرك تمام؟ و انا بتجي على الكاميرا بتشوف
+
+357
+00:32:21,830 --> 00:32:25,730
+تفاصيل اكتر عشان هيك لو انت دججت في ال animation
+
+358
+00:32:25,730 --> 00:32:30,200
+لو جابوا دلفينه برط في الميهتحسه طبيعي، تحسه حقيقي
+
+359
+00:32:30,200 --> 00:32:36,300
+تماماً، ليش؟ لأنه فعلياً اعتمد على موضوع تصميمه في
+
+360
+00:32:36,300 --> 00:32:42,900
+المثلثات وصار بعرف ان كم مثلث بيظهر للكاميرا،
+
+361
+00:32:42,900 --> 00:32:47,320
+للكاميرا المفروض او في المشهد، عشان تجيب الـNormal
+
+362
+00:32:48,650 --> 00:32:52,210
+سين أو المنظر الحقيقي أو الطبيعي للشكل اللي موجود
+
+363
+00:32:52,210 --> 00:32:58,390
+عندها كل ما قلت المثلثات أو صغر حجم المثلثات حصلت
+
+364
+00:32:58,390 --> 00:33:04,220
+على تفاصيلوالأهم من هذا كله يا شباب انه هذه عبارة
+
+365
+00:33:04,220 --> 00:33:09,260
+عن sequence متتالية مجموعة من ال chains مجموعة من
+
+366
+00:33:09,260 --> 00:33:13,520
+النقاط ايش مالها؟ كلها متسلسلة ورا بعضها عشان ايش؟
+
+367
+00:33:13,520 --> 00:33:18,780
+عشان يقدر يرسم الشكل طيب في انا شغل بنسميها احنا
+
+368
+00:33:18,780 --> 00:33:22,360
+في ال computer graphics بنسميها ال render حد مرت
+
+369
+00:33:22,360 --> 00:33:25,380
+عليه يا شباب مصطلح ال render؟ ايش مصطلح ايش ال
+
+370
+00:33:25,380 --> 00:33:31,040
+render في المبتدل شو يعني rendering؟لأ مش loading
+
+371
+00:33:31,040 --> 00:33:36,300
+محمد تصدير تصدير لإيش؟ الآن يا شباب موضوع ال
+
+372
+00:33:36,300 --> 00:33:41,360
+rendering في ال animation مفهوم تصدير ل 3D object
+
+373
+00:33:41,360 --> 00:33:48,020
+هذا تمام لمشهد يحكي الحقيقة أو يحاكي الواقع في
+
+374
+00:33:48,020 --> 00:33:51,320
+اللي موجود عنها الآن المشهد ان انا الوجه ده بده
+
+375
+00:33:51,320 --> 00:33:56,460
+يلف هي المشهد طب الوجه هو مجموعة من المثلثات عشان
+
+376
+00:33:56,460 --> 00:34:03,940
+تكون المحكات تبعتي حقيقيةلازم احسب الشعاع الصادق
+
+377
+00:34:03,940 --> 00:34:09,400
+على كل مثلث من هدول تمام في السين و اقول او اخد
+
+378
+00:34:09,400 --> 00:34:13,560
+قرار هل بيبين للكاميرا ولا مابينش عشان مايديش في
+
+379
+00:34:13,560 --> 00:34:17,420
+لحظة من اللحظات و هو جال وش جاعت بلوف يبين انه
+
+380
+00:34:17,420 --> 00:34:24,240
+منزوع اه او يبين فيه مربع صارأو منطقة معتمة وهي مش
+
+381
+00:34:24,240 --> 00:34:27,580
+لازم تبين معتمة وهذه احنا بنسميها بعض ال fake
+
+382
+00:34:27,580 --> 00:34:31,640
+effects اللي بتطلع عندى لو ماكنش فيه عندى شغل دقيق
+
+383
+00:34:31,640 --> 00:34:38,080
+فى ال design الآن بس ارجع كمان مرة كيف احنا بنشوف
+
+384
+00:34:38,080 --> 00:34:42,460
+الشباب؟ بنشوف بالعين الله يحفظك اياهم يا رب
+
+385
+00:34:50,090 --> 00:34:54,290
+نفس .. نفس كلامه تمام؟ اللي جالب عيننا هو عيننا ما
+
+386
+00:34:54,290 --> 00:34:57,570
+شاء الله عليه مافيش مشكلة أكيد لكن هذا الكلام
+
+387
+00:34:57,570 --> 00:35:01,610
+مابطعنيش خبوزة صاحبي احنا بدنا كلام علم تفسير
+
+388
+00:35:01,610 --> 00:35:06,810
+النظر تمام؟ ان الضوء الصاقط على الجسم انعكس ووصل
+
+389
+00:35:06,810 --> 00:35:11,090
+شععان من عينك فعينك انشافة التفاصيل ايش؟ الاشعل
+
+390
+00:35:11,090 --> 00:35:15,270
+مرتد وجدر تخيل؟ طب .. طب الشعاع اللي نفد ودول
+
+391
+00:35:15,270 --> 00:35:18,850
+جالت؟ مابدلش عشان هيك لو انت وقفت لحالك على الشاط
+
+392
+00:35:20,220 --> 00:35:23,200
+تمام؟ وانا بطلع عليك وماشوفش بقى الأدمين حواليك
+
+393
+00:35:23,200 --> 00:35:29,520
+ولا لأ؟ ليش؟ انت وخلفيا بس فقط انت و البحر و ال
+
+394
+00:35:29,520 --> 00:35:31,520
+horizon كمان و الأفق يعني عشان واحد مابيقول أنه
+
+395
+00:35:31,520 --> 00:35:36,900
+ماعندوش نوع نظر وبالتالي هذا نفس الكلام بدك تفترض
+
+396
+00:35:36,900 --> 00:35:42,400
+أن الكاميرا هي عينك والشعاع اللي برجع قائل أو برتد
+
+397
+00:35:42,400 --> 00:35:47,320
+على عينك تقعل أو برتد على الكاميرا الصدق حد أنت
+
+398
+00:35:47,320 --> 00:36:02,860
+بتشوفهفتتخيل في عندك مجموعة من المثلثات طبعا
+
+399
+00:36:02,860 --> 00:36:07,460
+المثلثات متساوة الحجم هذا الشكل كيف انت شايفه يا
+
+400
+00:36:07,460 --> 00:36:10,960
+شباب مصطح صح طب لو انا قلتلك لا انه فعلا هذا رأس
+
+401
+00:36:10,960 --> 00:36:17,950
+هرم بينفع مصبوط اي وجه بدي اشوفالان اذا الكاميرا
+
+402
+00:36:17,950 --> 00:36:22,030
+هنا بدي احسب الشعاع الساقط من هنا يعني بضطري ان
+
+403
+00:36:22,030 --> 00:36:25,750
+ادخل في حساب المتجهات كمان شوية تمام عشان اعرف انه
+
+404
+00:36:25,750 --> 00:36:31,370
+هذا هذا او اتجاه الشعاع المرتب اتجاه الكلب صيب
+
+405
+00:36:31,370 --> 00:36:34,630
+الكاميرا ولا بصيبهاش متعامد مع الكاميرا ولا لأ اذا
+
+406
+00:36:34,630 --> 00:36:39,510
+متعامد معناته ال face هذا بيظهر otherwise ماتظهرش
+
+407
+00:36:39,510 --> 00:36:43,220
+هذا هتكلم عليه في التفاصيل لاحقا مش قضية كتيرطيب
+
+408
+00:36:43,220 --> 00:36:49,380
+اهم من هيك اهم من هيك ظهر في عندي قانون بقولك
+
+409
+00:36:49,380 --> 00:36:53,040
+التالي ان
+
+410
+00:36:53,040 --> 00:36:58,980
+في اي 3D polygonal object ايش يعني 3D polygonal
+
+411
+00:36:58,980 --> 00:37:07,540
+object يعني اي object تم انشاءه على polygons عدد
+
+412
+00:37:07,540 --> 00:37:18,640
+الوجوه في ال object هذازائد عدد النقاط يساوي عدد
+
+413
+00:37:18,640 --> 00:37:23,820
+الحواف زائد اتنين الحواف اللي هي الأطلع اللي
+
+414
+00:37:23,820 --> 00:37:33,960
+موجودة عندكها تخيل المكعب صندوق كم وجهي ستة كم
+
+415
+00:37:33,960 --> 00:37:37,820
+نقطة تمانية
+
+416
+00:37:37,820 --> 00:37:45,130
+تمانية و ستةتمانية و ستة اربعة اتناش الان كم دولة
+
+417
+00:37:45,130 --> 00:37:48,970
+موجودة على المربع اللي فوق اربعة اربعة وعلى المربع
+
+418
+00:37:48,970 --> 00:37:55,850
+اللي تحت وعلى المربع اليمين يعني
+
+419
+00:37:55,850 --> 00:38:02,490
+بتتكلم على اتناش اتناش الحافة زائد اتنين مصبور
+
+420
+00:38:02,490 --> 00:38:09,860
+اربعة اتناشفي المكعب الـ 12 حرفة ويله 6 أوجه ويله
+
+421
+00:38:09,860 --> 00:38:18,300
+8 نقاط العام الماضي بأذكر جبت سؤال في الامتحان 3D
+
+422
+00:38:18,300 --> 00:38:28,860
+polygonal object has 4 vertices ويله 4 نقاط تمام؟
+
+423
+00:38:28,860 --> 00:38:35,940
+بس هاي الموقع اللي موجود وقول لي كم وجه موجودللـ
+
+424
+00:38:35,940 --> 00:38:41,320
+object هذا السؤال كمان مرة كنت بقول فيه انا three
+
+425
+00:38:41,320 --> 00:38:47,400
+three D polygonal
+
+426
+00:38:47,400 --> 00:38:52,220
+object with
+
+427
+00:38:52,220 --> 00:39:00,540
+four vertices اربع
+
+428
+00:39:00,540 --> 00:39:07,150
+لقات هي واحدةهذه اتنين وهذه تلاتة وهذه اربعة اذا
+
+429
+00:39:07,150 --> 00:39:11,130
+رسمت هكذا غلط يا صاحبي لماذا؟ لأن هيك صارت في
+
+430
+00:39:11,130 --> 00:39:19,950
+الـ2D إلا لو روحت انت عملت هكذا
+
+431
+00:39:19,950 --> 00:39:25,390
+صح
+
+432
+00:39:25,390 --> 00:39:29,430
+بحرم بس الهرم انا بتجيبك فيه الصورة كامة أسهل عشان
+
+433
+00:39:29,430 --> 00:39:34,680
+تتخيلوامباشرة عشان .. و لما بقولك في الـ3D .. في
+
+434
+00:39:34,680 --> 00:39:38,120
+الـ3D و بقعد بتكلم على أربع نقاط دول فهي بتتكلم
+
+435
+00:39:38,120 --> 00:39:42,340
+على الـline as a polygon أنا؟ لأ، معناته أبسط
+
+436
+00:39:42,340 --> 00:39:47,560
+polygon في الـ2D مثلث، هي .. هي رسمتي المثلث و
+
+437
+00:39:47,560 --> 00:39:54,560
+النقطة الرابعة ممكن أحطها في النص و أوصل .. هي ..
+
+438
+00:39:54,560 --> 00:39:58,220
+و أصير أنا قاعد بأنظر للغرم من فوق الغرم أو أحطها
+
+439
+00:39:58,220 --> 00:40:04,730
+فوقوبصيب منظور او اي منظور اخر للـ polygon اللي
+
+440
+00:40:04,730 --> 00:40:09,530
+موجود عندى ..الان كان سؤالى كام وجه في ال polygon
+
+441
+00:40:09,530 --> 00:40:14,170
+هذا او في ال object هذا ..الان زي انت يا صاحبي
+
+442
+00:40:14,170 --> 00:40:19,830
+روحت عديتلي عد ..مافعش الكلام هذا .. بدك تجيبلي
+
+443
+00:40:19,830 --> 00:40:22,050
+اطلع .. بدك تجيبلي اطلع .. بدك تجيبلي اطلع .. بدك
+
+444
+00:40:22,050 --> 00:40:22,070
+تجيبلي اطلع .. بدك تجيبلي اطلع .. بدك تجيبلي اطلع
+
+445
+00:40:22,070 --> 00:40:22,070
+.. بدك تجيبلي اطلع .. بدك تجيبلي اطلع .. بدك
+
+446
+00:40:22,070 --> 00:40:24,110
+تجيبلي اطلع .. بدك تجيبلي اطلع .. بدك تجيبلي اطلع
+
+447
+00:40:24,110 --> 00:40:30,800
+.. بدك تجيبلي اطلع .. بدكزائد ال vertices نقاط
+
+448
+00:40:30,800 --> 00:40:36,800
+يساوي الحواف زائد اتنين انا بدي عدد الوجوه يعني
+
+449
+00:40:36,800 --> 00:40:42,120
+عدد الوجوه يساوي الحواف
+
+450
+00:40:42,120 --> 00:40:47,300
+زائد اتنين ماقص ال vertices كم حافة للشكل اللي انا
+
+451
+00:40:47,300 --> 00:40:51,340
+رسمته هنا يا شباب كم
+
+452
+00:40:51,340 --> 00:40:55,640
+حافة واحدة اتنين تلاتة واحدة اتنين تلاتة ست حواف
+
+453
+00:40:57,610 --> 00:41:07,110
+زائد اتنين ناقص اربعة كم وجه عندى اربعة كمام يا
+
+454
+00:41:07,110 --> 00:41:11,930
+شباب وهذه الحسبة المفروض اللى انا قداش اشتغل عليها
+
+455
+00:41:11,930 --> 00:41:15,810
+بشكل كويس عشان احدد كم وجه موجود عندى لل object
+
+456
+00:41:15,810 --> 00:41:25,470
+اللى عندها ال edge الحواف الحواف طيب
+
+457
+00:41:25,470 --> 00:41:34,780
+هى في عندهابخروت تمام او هرم رباعي ايش يعني رباعي
+
+458
+00:41:34,780 --> 00:41:39,200
+ال base تبعته عبارة عن مربع كام نقمة موجود فيه
+
+459
+00:41:39,200 --> 00:41:46,880
+شباب هرام عليك اذا القاعدة تبعته اربعة و بقولك هرم
+
+460
+00:41:46,880 --> 00:41:54,420
+ماتك فيها عندك خمس نقاط كم بلعبكم طلع؟ تمانية
+
+461
+00:41:54,420 --> 00:41:59,080
+القاعدة إلها أربع أطلاع و مع كل نقطة في المربع مع
+
+462
+00:41:59,080 --> 00:42:00,820
+النقطة اللي فوق في وين دي أربع ماتوا بالكلام على
+
+463
+00:42:00,820 --> 00:42:07,920
+تمانية عدد الوجوه ال faces تساوي عدد البلن الحواف
+
+464
+00:42:07,920 --> 00:42:17,560
+جداش الشباب تمانية زائد اتنين ماقص خمسة five
+
+465
+00:42:17,560 --> 00:42:24,870
+facesالأرضية واحد من تحت طبعا ومع كل ضلع في المربع
+
+466
+00:42:24,870 --> 00:42:29,970
+في انديوجي معاتو بتكلم على خمس أوجه لل object اللي
+
+467
+00:42:29,970 --> 00:42:34,570
+موجودة عندي هم حد
+
+468
+00:42:34,570 --> 00:42:39,590
+فهم حد يا شباب؟ طب الحمد لله على بركة الله معايا
+
+469
+00:42:39,590 --> 00:42:40,250
+الله يعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/HwKmu3entXU.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/HwKmu3entXU.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9fde8440e2c21a436f50f917ef4408d2dfffe10b
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/HwKmu3entXU.srt
@@ -0,0 +1,3055 @@
+1
+00:00:20,940 --> 00:00:23,220
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:23,220 --> 00:00:26,440
+اليوم إن شاء الله تعالى هنكمل في الـ chapter ال
+
+3
+00:00:26,440 --> 00:00:33,400
+algebra وكنا وقفنا المحاضرة الماضية عند إيجاد
+
+4
+00:00:33,400 --> 00:00:37,300
+الجذور للمعادلات التربيعية وقلنا 
+
+5
+00:00:39,840 --> 00:00:45,620
+لما بسمع كلمة جذر للمعادلة يعني إن أنا بدي قيمة ال
+
+6
+00:00:45,620 --> 00:00:50,180
+X اللي بتخلي المعادلة هذه تصير الـ Y صفر تمامًا هي
+
+7
+00:00:50,180 --> 00:00:55,080
+النقاط الصفر اللي موجودة عندي هنا على الـ graph على
+
+8
+00:00:55,080 --> 00:00:58,980
+سبيل المثال عندي Y بدها تساوي X تربيع زائد X ناقص 
+
+9
+00:00:58,980 --> 00:01:02,220
+اثنين هذه المعادلة معادلة من الدرجة الثانية أو
+
+10
+00:01:02,220 --> 00:01:06,100
+quadrant equation وقولنا بدي أجيب الجذر تبعها
+
+11
+00:01:06,100 --> 00:01:10,240
+الجذر تبعها شفنا إما بطريقة التحليل أو باستخدام
+
+12
+00:01:10,240 --> 00:01:15,260
+القانون العام من أجل الوصول لقيمة الجذر عشان قلنا
+
+13
+00:01:15,260 --> 00:01:19,300
+كمان مرة بنعيد الجذر هي عبارة عن قيمة X اللي بتخلي
+
+14
+00:01:19,300 --> 00:01:26,420
+قيمة المعادلة هي تتساوي صفر الآن واضح لو أخذت X
+
+15
+00:01:26,420 --> 00:01:30,740
+بواحد أنا حسب الرسم اللي موجودة عندي هنا واحد
+
+16
+00:01:30,740 --> 00:01:37,460
+تربيع زائد واحد ناقص اثنين صفر الجذر الثاني
+
+17
+00:01:37,460 --> 00:01:43,100
+عندنا ناقص اثنين ناقص اثنين تربيع أربعة ناقص اثنين
+
+18
+00:01:43,100 --> 00:01:48,380
+ناقص اثنين صفر لأ ناقص اثنين وناقص اثنين سالب أربعة
+
+19
+00:01:48,380 --> 00:01:52,760
+مظبوط وأربعة صفر وبالتالي هي عبارة عن قيمة
+
+20
+00:01:52,760 --> 00:01:56,080
+الجذور اللي احنا موجودة وبقولنا ضروري نتذكر دائمًا
+
+21
+00:01:56,080 --> 00:01:59,760
+يا شباب إن احنا بدنا دائمًا نبدأ الجذر بإيش الطريقة
+
+22
+00:01:59,760 --> 00:02:02,660
+الأنسب والأسرع اللي تكون إليك تستخدم التحليل
+
+23
+00:02:02,660 --> 00:02:06,600
+تستخدم القانون العام عادة ما يهمنا الطريقة إلا لو
+
+24
+00:02:06,600 --> 00:02:10,170
+احنا قلنا لك استخدم القانون العام على سبيل المثال
+
+25
+00:02:10,170 --> 00:02:15,030
+أو استخدام طريقة التحليل وغالبا هنترك المجال
+
+26
+00:02:15,030 --> 00:02:19,470
+ماترك إليك لأن احنا بدنا الجذر ما بدناش أي مش
+
+27
+00:02:19,470 --> 00:02:22,310
+هنلزمك بطريقة ثانية وقول لأ ممكن يكون في عندي أنا
+
+28
+00:02:22,310 --> 00:02:27,030
+بعض القيم أو بعض الجذور فيها قيم تخيلية وبالتالي
+
+29
+00:02:27,030 --> 00:02:30,790
+مثل الرسم اللي موجود عندي هنا متى الـ Y بها تساوي
+
+30
+00:02:30,790 --> 00:02:34,830
+صفر ولا عمرها؟ ولا عمرها الواحدة بتساوي صفر
+
+31
+00:02:34,830 --> 00:02:38,710
+وبالتالي قيمة دائمة قيمة الجذر قيمة تخيلية وشوفنا
+
+32
+00:02:38,710 --> 00:02:41,710
+مجموعة من الأمثلة اشتغلنا عليهم مع بعض خلّيني على
+
+33
+00:02:41,710 --> 00:02:46,910
+السريع كمان نثبت هذه عندي .. حليني احنا ثلاث أمثلة
+
+34
+00:02:46,910 --> 00:02:49,710
+هذه المرة الماضية هذه فيها عندي كمان ثلاث أمثلة على
+
+35
+00:02:49,710 --> 00:02:53,690
+السريع ونشوف القيم اللي موجودة فيهم دول المعادلة
+
+36
+00:02:53,690 --> 00:03:00,630
+القوية بيقولي Y تساوي X تربيع ناقص 4X ناقص 21 و
+
+37
+00:03:00,630 --> 00:03:04,310
+أذكرك على السريع قلنا إذا أنا بدي أعتمد على طريقة
+
+38
+00:03:04,310 --> 00:03:07,790
+التحليل ببدأ دوة أخذ مين المركبة الأخيرة ال
+
+39
+00:03:07,790 --> 00:03:13,790
+constant معاملها الشيء أنت بتحللها 7 في 3 لاحظ
+
+40
+00:03:13,790 --> 00:03:19,780
+إن هي عندك سالب 21 سالب واحد وعشرين معناته سالب
+
+41
+00:03:19,780 --> 00:03:24,640
+سبعة في ثلاثة أو سالب ثلاثة في سبعة من اللي
+
+42
+00:03:24,640 --> 00:03:31,120
+بيحكمني قيمة العنصر هذا إشارة هذا إذا أنا قلت هذه
+
+43
+00:03:31,120 --> 00:03:37,360
+الـ X X في X معناته الآن إما عندي سالب ثلاثة مضروبة
+
+44
+00:03:37,360 --> 00:03:42,900
+في سبعة أو ثلاثة مضروبة في سالب سبعة الآن إذا أنا
+
+45
+00:03:42,900 --> 00:03:48,240
+بدي أعتمد الأولى كيف بقول بدي أعمل حسابي للمعامل
+
+46
+00:03:48,240 --> 00:03:52,160
+اللي موجود عندها موجبة باربعة لو جمعت السبعة
+
+47
+00:03:52,160 --> 00:03:55,500
+والسالب ثلاث مع بعض موجبة باربعة معناته هو الحل
+
+48
+00:03:55,500 --> 00:04:00,600
+هذا فعلاً أطبقها في الحل الثاني سالب أربعة معناته
+
+49
+00:04:00,600 --> 00:04:03,140
+مش هذا المطلوبة معناته أنا باجي بقدر أقول موجبة
+
+50
+00:04:03,140 --> 00:04:10,800
+بسبعة ناقص ثلاث تمام؟ معناته هنا بقدّري إما الـ X
+
+51
+00:04:10,800 --> 00:04:18,550
+equal سالب سبعة or الـ X equal ثلاثة مظبوط ليش هذا
+
+52
+00:04:18,550 --> 00:04:22,510
+الكلام قولة هيك لأنه كمان مرة بتفصيل أكثر أنا بدي
+
+53
+00:04:22,510 --> 00:04:27,810
+أقول إن هذه المعادلة تساوي صفر عشان أشوف إيش القيم
+
+54
+00:04:27,810 --> 00:04:32,070
+اللي بتخلي قيمة المعادلة صفر مظبوط؟ الآن في عندك
+
+55
+00:04:32,070 --> 00:04:36,190
+أنت إما ضربات في بعض تساوي صفر بهو يا الأولى بيبقى
+
+56
+00:04:36,190 --> 00:04:40,050
+تساوي صفر أو الثانية بيبقى تساوي صفر معناته إن أنا
+
+57
+00:04:40,050 --> 00:04:48,270
+بكون عندي إما 7x زائد 7 تساوي صفر أو x-3 تساوي صفر
+
+58
+00:04:48,270 --> 00:04:54,340
+واحدة من الاثنتين الآن في الحالة الأولى معناته X
+
+59
+00:04:54,340 --> 00:05:01,000
+تساوي سالب سبعة والحالة الثانية X تساوي ثلاث موجبة
+
+60
+00:05:01,000 --> 00:05:06,060
+بثلاث هل الطريقة بالتحليل لأ لو أنا بدي أعتمد
+
+61
+00:05:06,060 --> 00:05:12,180
+القانون العام تمام معناته عند A بواحد وB بأربعة وC
+
+62
+00:05:12,180 --> 00:05:17,960
+سالب واحد وعشر وهتروح تقول تساوي X تساوي ناقص B
+
+63
+00:05:17,960 --> 00:05:24,550
+ناقص 16 مظبوط سالب أربعة ناقص بيه عفوًا أنا بقعد
+
+64
+00:05:24,550 --> 00:05:27,270
+بقول ناقص بيه واحنا ربعناها ناقص بيه زائد أو ناقص
+
+65
+00:05:27,270 --> 00:05:34,650
+الجذر التربيعي لـ B تربيع 16 ناقص أربعة اه في
+
+66
+00:05:34,650 --> 00:05:39,990
+واحد في 21 اللي هي بتطلع أربعة وكمانين
+
+67
+00:05:39,990 --> 00:05:51,510
+سالب واحد وعشرين مظبوط على اثنين في اهلو هي تساوي
+
+68
+00:05:51,510 --> 00:05:57,190
+ناقص أربعة زائد أو ناقص الآن عندك زائد 16
+
+69
+00:05:57,190 --> 00:06:05,650
+وعندك أربعة أو أربعة و80 مية جذر المية على
+
+70
+00:06:05,650 --> 00:06:14,830
+اثنين ناقص أربعة زائد أو ناقص عشرة على اثنين إما
+
+71
+00:06:14,830 --> 00:06:24,130
+ستة على اثنين أو سالب 14 على اثنين معناته x
+
+72
+00:06:24,130 --> 00:06:29,550
+إما بتساوي ثلاث أو الـ x بتساوي سالب سبعة اللي هم
+
+73
+00:06:29,550 --> 00:06:33,770
+نفس الـ roots اللي أنا حصلت عليهم الآن كمان مرة
+
+74
+00:06:33,770 --> 00:06:39,030
+بأكد للشباب أي طريقة أسهل إنّي أشتغل فيها بشكل مباشر
+
+75
+00:06:39,030 --> 00:06:43,790
+طيب في المعادلة الثانية طبعًا مش هحلها خلاص الآن
+
+76
+00:06:43,790 --> 00:06:49,560
+طلع في المعادلة الثانية إذا في مجال تحليل لشباب و
+
+77
+00:06:49,560 --> 00:06:53,960
+تخلي المضاعف أو عفوًا معامل A تخليه واحد بيكون
+
+78
+00:06:53,960 --> 00:07:00,020
+أحسن ليش؟ براهيك أنت وأنا بقعد أضرب أربعة في A في C
+
+79
+00:07:00,020 --> 00:07:03,840
+يعني الرقم هتضاعف معك بشكل كبير وكذلك لما تيجي
+
+80
+00:07:03,840 --> 00:07:07,320
+تقسم على اثنين A فإذا كان في مجال أنا أخلص من
+
+81
+00:07:07,320 --> 00:07:11,540
+معامل الـ A عفوًا من معامل X تربيع الـ A بكون ممتاز
+
+82
+00:07:11,540 --> 00:07:17,100
+في معادلة زي هذه أقسمها اثنين ليش هتقسمها اثنين؟ ما
+
+83
+00:07:17,100 --> 00:07:20,540
+هي أساسًا بتعملها كلها بتساوي صفر، بمظبوط؟ ولما
+
+84
+00:07:20,540 --> 00:07:25,580
+أقول أقسمها اثنين، هتقسم الطرفين اثنين، بما فيها
+
+85
+00:07:25,580 --> 00:07:28,360
+الصفر، ولا لا، وبالتالي تبقى المعادلة زي ما هي
+
+86
+00:07:28,360 --> 00:07:34,720
+بدون مشاكل، طيب، في المعادلة الأخيرة، إيش روح
+
+87
+00:07:34,720 --> 00:07:39,450
+تستخدم؟ ماذا تستخدم؟ تستخدم القانون العام؟ تستخدم
+
+88
+00:07:39,450 --> 00:07:43,030
+التحليل؟ ما هي أساسًا حال لحالها المعرفة ده بقدّي
+
+89
+00:07:43,030 --> 00:07:48,810
+إنّ الـ X بدها تساوي موجب
+
+90
+00:07:48,810 --> 00:07:54,970
+أو سالب جذر السالب أربعة بالـ K
+
+91
+00:07:54,970 --> 00:08:00,150
+وتساوي موجب أو سالب اثنين في جذر السالب واحد
+
+92
+00:08:00,150 --> 00:08:07,620
+اثنين I  بتساوي زائد أو ناقص اثنين I هذه الجذرين
+
+93
+00:08:07,620 --> 00:08:09,660
+اللي موجودات عندي مش كل بعض الجذور فيها قيمة
+
+94
+00:08:09,660 --> 00:08:14,400
+تخيّلية هذا هي وبالتالي لاحظ اشتغل بالقانون العام
+
+95
+00:08:14,400 --> 00:08:19,320
+أنا ولو اشتغلت بالقانون العام بيمشي الحال ناقص P
+
+96
+00:08:19,320 --> 00:08:24,260
+جدّاش قيمة P صفر مظبوط زائد أو ناقص الجذر التربيعي
+
+97
+00:08:24,260 --> 00:08:31,320
+P تربيع صفر ناقص أربعة ضرب واحد ضرب أربعة 
+
+98
+00:08:34,630 --> 00:08:41,850
+على اثنين في واحد مظبوط؟ وتساوي زائد أو ناقص
+
+99
+00:08:41,850 --> 00:08:49,430
+الـ 4 الأشياء
+
+100
+00:08:49,430 --> 00:08:57,130
+الاشارة زائد هنا بس خليك معي الاشارة زائد هي
+
+101
+00:08:57,130 --> 00:08:58,590
+تساوي
+
+102
+00:09:03,440 --> 00:09:09,860
+X بيتساوي الجذر التربيعي لـ سالب أربعة، صح؟ طيب،
+
+103
+00:09:09,860 --> 00:09:12,960
+خلّيني أكمل هنا، عشان ما ترجعناش لخطوة ثانية ومرة 
+
+104
+00:09:12,960 --> 00:09:18,800
+ثانية، هذه سالب 16، ما تنساش سالب أربعة،
+
+105
+00:09:18,800 --> 00:09:27,680
+سالب واحد، ما تنساش، على اثنين، بتصير عندي زائد أو 
+
+106
+00:09:27,680 --> 00:09:31,640
+ناقص اثنين في الـ I اللي هي الجذر السالب واحد وهي
+
+107
+00:09:31,640 --> 00:09:35,960
+الجذرين فأنت أي طريقة كانت بتقدر تستخدمها وتوصلك
+
+108
+00:09:35,960 --> 00:09:39,400
+للحل المضمون استخدمها أنا ما عندي مشكلة فيها ماشي
+
+109
+00:09:39,400 --> 00:09:42,880
+الحل يا شباب تمام إن شاء الله في أي استفسار يا
+
+110
+00:09:42,880 --> 00:09:47,460
+شباب في الموضوع نعم أنت إيش حسبت الـ C في القانون هي
+
+111
+00:09:47,460 --> 00:09:52,680
+حسب القانون هي ده الـ C تساوي 4 والـ B صفر مش الـ B هي
+
+112
+00:09:52,680 --> 00:09:59,000
+معامل X X مش موجودة غائبة عندي صح أي سؤال ثاني يا
+
+113
+00:09:59,000 --> 00:10:05,200
+شباب الأمور واضحة تمام هذه كان موضوعنا اللي أنهينا
+
+114
+00:10:05,200 --> 00:10:07,720
+فيه المحاضرة الماضية وقلنا إن شاء الله بنبدأ من
+
+115
+00:10:07,720 --> 00:10:10,780
+عنده عشان نثبتهم وإن شاء الله ما يكونش فيه مشاكل
+
+116
+00:10:11,940 --> 00:10:16,140
+تمام الآن بدنا ننتقل خطوة للأمام نتكلم على الـ
+
+117
+00:10:16,140 --> 00:10:22,220
+indices أو نتكلم على القوى بالعربي دائمًا أما تقول
+
+118
+00:10:22,220 --> 00:10:25,200
+أسماء indices أو الـ bar أو الـ exponent بتكلم على
+
+119
+00:10:25,200 --> 00:10:29,520
+القوى تبع الـ انتجار اللي موجودة عندها مثل طبعًا احنا
+
+120
+00:10:29,520 --> 00:10:34,220
+بنعرف القوى شباب عبارة عن ضرب متكرر ضرب متكرر لما
+
+121
+00:10:34,220 --> 00:10:41,480
+باجي بقول سبعة قوى ثلاث تساوي سبعة في سبعة عبارة
+
+122
+00:10:41,480 --> 00:10:45,520
+عن عملية ضرب متكررة بقيمة الأس اللي موجودة عندها
+
+123
+00:10:45,520 --> 00:10:53,460
+خمسة أس إن إيش له ساوي خمسة مضروبة في نفسها إن من
+
+124
+00:10:53,460 --> 00:10:57,960
+المرات خمسة مضروبة في نفسها إن من المرات
+
+125
+00:11:08,540 --> 00:11:14,460
+A أس صفر أي integer أي real number رفعته للـ A
+
+126
+00:11:14,460 --> 00:11:24,920
+الصفر بيكون واحد A أس M ضرب A أس N عند الضرب
+
+127
+00:11:24,920 --> 00:11:30,920
+تجمع الأسس إذا اتحدت الأساسات الأساس A و A معناته
+
+128
+00:11:30,920 --> 00:11:38,330
+طواد تساوي A أس M زائد N مثل خمسة أس واحد ضرب خمسة
+
+129
+00:11:38,330 --> 00:11:43,570
+أس اثنين المفروض تطلع عندي خمسة أس ثلاثة وعند
+
+130
+00:11:43,570 --> 00:11:48,590
+القسمة تطلع الأساس إذا تحدثت الأساسات أو تساوت
+
+131
+00:11:48,590 --> 00:12:00,630
+الأساسات A أس M الكل أس N يعني A أس M الكل أس
+
+132
+00:12:00,630 --> 00:12:07,060
+N بنفس المنطق هذه بنفس المنطقه هذه إيش تساوي هذه
+
+133
+00:12:07,060 --> 00:12:15,660
+تساوي A أس M مضروبة في نفسها N من المرات مظبوط طيب
+
+134
+00:12:15,660 --> 00:12:19,460
+ما في كل مرة إيش بضيف لك كل العداد واحد معناته هذه
+
+135
+00:12:19,460 --> 00:12:28,900
+تساوي A أس M ضرب N A أس M ضرب N بالمناسبة هذه نفسها
+
+136
+00:12:28,900 --> 00:12:32,000
+خمسة أس ثلاثة لكل أس اثنين
+
+137
+00:12:35,690 --> 00:12:42,110
+طيب خمسة أس اثنين كل أس ثلاثة خمسة
+
+138
+00:12:42,110 --> 00:12:47,950
+أس اثنين ثلاثة هي خمسة أس ستة equivalent تمام لما
+
+139
+00:12:47,950 --> 00:12:52,950
+بيكون الأس سالب شباب مباشرة هي تساوي واحد على
+
+140
+00:12:52,950 --> 00:12:57,890
+القيمة اللي موجودة عندك يعني اثنين أو خمسة أس سالب
+
+141
+00:12:57,890 --> 00:13:02,830
+اتنين تساوي واحد على خمسة أس اتنين تمام اللي هي
+
+142
+00:13:02,830 --> 00:13:08,750
+واحد على خمسة وعشرين طبعاً لازم ننتبه أن ال A لا
+
+143
+00:13:08,750 --> 00:13:17,270
+تساوي صفر الآن ما بدنا نقول A أس واحد على B A أس
+
+144
+00:13:17,270 --> 00:13:25,710
+واحد على B هذا مباشرة تساوي جذر ال B للأساس A أو
+
+145
+00:13:25,710 --> 00:13:32,230
+بين قوسين الجذر ال B للقيمة A اللي موجودة عندي مثل
+
+146
+00:13:32,230 --> 00:13:41,880
+8 أس واحد على 3 الجذر الثالث للثمانية آخر قيمة
+
+147
+00:13:41,880 --> 00:13:45,580
+عندنا بنفس
+
+148
+00:13:45,580 --> 00:13:51,660
+المنطق تبع الضرب اللي عندنا لما يكون عندنا A أُس
+
+149
+00:13:51,660 --> 00:14:00,460
+واحد على بي الكل أُس q ايش له ساوي احنا عمال
+
+150
+00:14:00,460 --> 00:14:06,360
+نقول ايش يقولوا عبارة عن حاصل ضرب مصبوط وهذه تساوي A
+
+151
+00:14:06,360 --> 00:14:12,260
+أُس Q على B الآن
+
+152
+00:14:12,260 --> 00:14:17,480
+وهذا تساوي جذر
+
+153
+00:14:17,480 --> 00:14:30,540
+ال B لل A أُس Q هل
+
+154
+00:14:30,540 --> 00:14:31,640
+هذا تساوي
+
+155
+00:14:47,490 --> 00:14:55,630
+بأسأل هل هذه المعادلة تساوي هاي؟
+
+156
+00:14:55,630 --> 00:14:59,810
+لأ ليش؟
+
+157
+00:15:09,990 --> 00:15:18,210
+متأكد؟ طيب شو رأيكم في العملية هاي A أس واحد على B
+
+158
+00:15:18,210 --> 00:15:28,710
+كل أس Q مش هاد تساوي نفسها A أس واحد على B كل أس Q
+
+159
+00:15:28,710 --> 00:15:37,590
+مظبوط؟ وهي نفسها دي تكافئ A أُس Q الكل أُس واحد على
+
+160
+00:15:37,590 --> 00:15:46,980
+B لأن حاصل ضربهم ليه تساوي A أُس Q على B مظبوط اسمع
+
+161
+00:15:46,980 --> 00:15:52,780
+مرة ثانية كويس كامل تمام فأنت بس شوية بدك شوية
+
+162
+00:15:52,780 --> 00:15:57,060
+تركيز ما تنخدعش بالأشياء أحياناً الرمز فعليا أول ما
+
+163
+00:15:57,060 --> 00:16:00,500
+بشوفه أنا لأ انتشرت سوية وطلعت القيمة الأسمنتحت
+
+164
+00:16:00,500 --> 00:16:02,660
+الجذر وحطيتها برا وخلاص صارت متساوية اه لأن
+
+165
+00:16:02,660 --> 00:16:06,520
+العملية عملية إبدالية وهذا هو القانون الأساسي اللي
+
+166
+00:16:06,520 --> 00:16:12,680
+اعتمدنا عليه وعمالا قلنا لك هذا يساوي A أس N درب
+
+167
+00:16:12,680 --> 00:16:21,080
+الأس لأن عملية الضرب عملية إبدالية تمام اتنين قص
+
+168
+00:16:21,080 --> 00:16:29,000
+ثلاثة على اثنين اثنين قص ثلاثة على اثنين الآن اما
+
+169
+00:16:29,000 --> 00:16:34,480
+الجذر التربيعي للثمانية أو تكعيب الجذر الثاني
+
+170
+00:16:34,480 --> 00:16:39,040
+الجذر 
+
+171
+00:16:39,040 --> 00:16:46,000
+المانيه اه من الثمانية احنا مش قولنا هال تساوي اللي
+
+172
+00:16:46,000 --> 00:16:55,800
+هي الصورة هذه ثلاثة
+
+173
+00:16:55,800 --> 00:17:03,480
+تمام أما من ال indices في عندنا  الواهرة ايه الشباب 
+
+174
+00:17:03,480 --> 00:17:09,640
+ال logarithm ال logarithm هي
+
+175
+00:17:09,640 --> 00:17:11,080
+عبارة عن دالة خاصة
+
+176
+00:17:15,270 --> 00:17:19,630
+بتمثل القصة أو مقابلة عن القصة لو كان عندي A أُس X
+
+177
+00:17:19,630 --> 00:17:30,430
+A أُس X تساوي N معناته logarithm ال N للأساس A
+
+178
+00:17:30,430 --> 00:17:36,650
+تساوي X العشرة
+
+179
+00:17:36,650 --> 00:17:38,690
+المئة ايش تساوي عشرة أُس اثنين
+
+180
+00:17:42,280 --> 00:17:47,820
+لو أنا أتيت قلت logarithm المئة للأساس عشرة
+
+181
+00:17:47,820 --> 00:17:53,780
+مباشرة تساوي اثنين في
+
+182
+00:17:53,780 --> 00:17:57,200
+إن دي قانون مهم جداً فيها هذا وهو مفتاح الحل للكلام
+
+183
+00:17:57,200 --> 00:18:04,680
+اللي بنقوله logarithm ال N للأساس N يساوي واحد
+
+184
+00:18:04,680 --> 00:18:09,080
+ايوا وفي اندي هنشوف القانون التالي كمان شوية
+
+185
+00:18:09,080 --> 00:18:17,760
+logarithm الآن أُس X للأساس N تساوي X في
+
+186
+00:18:17,760 --> 00:18:24,000
+logarithm N للأساس N وهذه تساوي X هذه بواحد
+
+187
+00:18:24,000 --> 00:18:30,540
+مضروبة ب X فصارت عندنا القيمة الكلية X تمام الآن
+
+188
+00:18:30,540 --> 00:18:34,880
+ال logarithm لما 
+
+189
+00:18:34,880 --> 00:18:39,610
+أنا بدي قاعد أرسمه أنا قلت لك special function أو 
+
+190
+00:18:39,610 --> 00:18:46,290
+دالة خاصة حقر أسمه ال logarithm ال log تمام؟
+
+191
+00:18:46,290 --> 00:18:54,490
+تكاد تكون تابعة بعد فترة من الزمن الآن log
+
+192
+00:18:54,490 --> 00:19:00,290
+الألف ثلاثة، مصبوط؟ طيب، ثلاثة، لأن عشر أقصر ثلاثة
+
+193
+00:19:00,290 --> 00:19:06,830
+ألف، ممتاز، طب الآن شو تساوي يا شباب؟ عشرة في عشرة
+
+194
+00:19:06,830 --> 00:19:14,730
+في عشرة أو ممكن أقول عشرين في خمسين، مظبوط؟ مظبوط
+
+195
+00:19:14,730 --> 00:19:20,530
+الكلام؟ طيب، الآن لو
+
+196
+00:19:20,530 --> 00:19:25,190
+أنا كان في عندي logarithm الألف مش هي نفسها، ده 
+
+197
+00:19:25,190 --> 00:19:30,790
+المفروض تساوي logarithm العشرين في خمسين أو هي بين
+
+198
+00:19:30,790 --> 00:19:34,910
+قوسين logarithm العشرة في عشرة في عشرة، مظبوط؟
+
+199
+00:19:43,310 --> 00:19:47,410
+يقال في عنده قانون في ال logarithm يقول كتالة ال
+
+200
+00:19:47,410 --> 00:19:52,830
+logarithm القيمة للقيم المضروبة في بعضها يساوي جمع
+
+201
+00:19:52,830 --> 00:19:56,630
+ال logarithm للقيم المفصولة هذه وهذه تساوي
+
+202
+00:19:56,630 --> 00:20:03,480
+logarithm العشرين زائد logarithm الخمسين طب حسب
+
+203
+00:20:03,480 --> 00:20:08,360
+الرهان وهذا تساوي logarithm العشرة زائد logarithm
+
+204
+00:20:08,360 --> 00:20:15,580
+العشرة زائد logarithm العشرة طب هذه واحد زائد واحد
+
+205
+00:20:15,580 --> 00:20:22,020
+زائد واحد ثلاثة بالنسبة لهذه ال logarithm العشرين
+
+206
+00:20:22,020 --> 00:20:27,180
+logarithm الخمسين هي عبارة عن قيمة تقريبية هذه ال
+
+207
+00:20:27,180 --> 00:20:27,920
+logarithm العشرين
+
+208
+00:20:31,380 --> 00:20:34,640
+هي واحد فاصلة اثنين أقل من النص واحد فاصلة ثلاثة على ال
+
+209
+00:20:34,640 --> 00:20:39,700
+calculator وال logarithm الخمسين واحد فاصلة سبعة
+
+210
+00:20:39,700 --> 00:20:44,140
+واحد فاصلة سبعة زائد واحد فاصلة ثلاثة ثلاثة اللي هي
+
+211
+00:20:44,140 --> 00:20:49,340
+logarithm الألف logarithm الألف كيف فهمت إنك
+
+212
+00:20:49,340 --> 00:20:53,280
+غلطت من عشرة بسبب عشرة بسبب عشرة بسبب عشرة بسبب
+
+213
+00:20:53,280 --> 00:20:58,140
+عشرة بسبب عشرة بسبب عشرة بسبب عشرة بسبب عشرة بسبب
+
+214
+00:20:58,140 --> 00:21:01,750
+عشرة بسبب عشرة بسبب عشرة بسبب عشرة بسبب للأساس N
+
+215
+00:21:01,750 --> 00:21:06,690
+يساوي واحد وعادةً لما أنا بتكلم logarithm وبسكت
+
+216
+00:21:06,690 --> 00:21:10,770
+المعنى إنه بتتكلم على الأساس عشرة طب القيمة عندي
+
+217
+00:21:10,770 --> 00:21:15,410
+عشرة وأصل قيمتها واحد مصبوط وال logarithm الألف
+
+218
+00:21:15,410 --> 00:21:18,830
+تساوي logarithm العشرة في عشرة في عشرة حسب القانون
+
+219
+00:21:18,830 --> 00:21:24,070
+أنا بقدر أفصل العملية أخليها جمع تمام في end
+
+220
+00:21:24,070 --> 00:21:29,090
+special logarithm للأساس E يعني لما أنا بتكلم
+
+221
+00:21:29,090 --> 00:21:33,810
+logarithm وبسكت مباشرة الفرض الأساسي تبعي إن ال
+
+222
+00:21:33,810 --> 00:21:38,330
+base أو الأساس تبعها عشرة كده مرة واحدة طيب إذا ال
+
+223
+00:21:38,330 --> 00:21:44,110
+logarithm وسكتنا ال base عشرة حطيت لك اثنين
+
+224
+00:21:44,110 --> 00:21:48,930
+حطينا لك ايه؟ أي رمز ثاني معاها ايش؟ خصصت الأساس
+
+225
+00:21:48,930 --> 00:21:53,230
+لل logarithm هذا في عندي special logarithm للأساس
+
+226
+00:21:53,230 --> 00:22:01,510
+E لا مش ال Y هاي العدد ايه؟ النيبيري الـ Natural 
+
+227
+00:22:01,510 --> 00:22:08,370
+logarithm بتصير ال ln مش للعشرة لل E عشان هيك 
+
+228
+00:22:08,370 --> 00:22:13,510
+بنسميه نحن Natural logarithm هي ال Natural
+
+229
+00:22:13,510 --> 00:22:17,410
+logarithm بينطبق عليه ما ينطبق على ال logarithm من
+
+230
+00:22:17,410 --> 00:22:26,430
+القوانين لن العشرين طبعاً هي لن العشرين
+
+231
+00:22:27,500 --> 00:22:33,680
+ثلاثة لن الخمسين ما الصوتش على الأربعة ثلاثة فاصلة 
+
+232
+00:22:33,680 --> 00:22:40,960
+تسعة تمام لن الألف تساوي
+
+233
+00:22:40,960 --> 00:22:48,860
+لن العشرين زائد لن الخمسين ثلاثة زائد
+
+234
+00:22:50,690 --> 00:22:54,490
+ثلاثة فاصلة تسعة لاحظ الإشارة اللي هنشوف يا شباب 
+
+235
+00:22:54,490 --> 00:22:57,930
+تقريباً مش approximately لإن في كسر يعمله
+
+236
+00:22:57,930 --> 00:23:04,010
+truncation حتى محدثه وبالتالي هذه تقريباً تستوي ستة
+
+237
+00:23:04,010 --> 00:23:12,930
+فاصلة تسعة ستة فاصلة تسعة ماشي
+
+238
+00:23:12,930 --> 00:23:15,930
+الحال الآن بسم الله بقول اللوجاريتم الطبيعي بلزم
+
+239
+00:23:15,930 --> 00:23:21,890
+أقول له عشان أنا أحسبه وهذا كلام صحيح بشكل عام
+
+240
+00:23:21,890 --> 00:23:30,510
+القوانين اللي قلناها قبل شويات هي للوغاريتم ال A ضرب
+
+241
+00:23:30,510 --> 00:23:39,010
+ال B يساوي لوغاريتم ال A زائد لوغاريتم ال B لوغاريتم ال A
+
+242
+00:23:39,010 --> 00:23:45,110
+تقسيم ال B يساوي لوغاريتم ال A ناقص لوغاريتم ال B
+
+243
+00:23:47,510 --> 00:23:52,790
+لوغاريتم ال A أُس N يساوي N في لوغاريتم ال A
+
+244
+00:23:52,790 --> 00:23:56,230
+وبالتالي
+
+245
+00:23:56,230 --> 00:23:59,170
+موضوع اللوغاريتمات موضوع بسيط وهذول القوانين
+
+246
+00:23:59,170 --> 00:24:05,430
+هم الأساس في كل حاجة ممكن تستخدمها لنتقل لموضوع
+
+247
+00:24:05,430 --> 00:24:08,050
+ثاني أو ل section ثاني في ال chapter اللي هو ال
+
+248
+00:24:08,050 --> 00:24:14,180
+function مش هنأخذ في ال function بشكل مفصل كثير، 
+
+249
+00:24:14,180 --> 00:24:17,660
+هنحاول بس نفهم شو مفهوم function، شو يعني domain،
+
+250
+00:24:17,660 --> 00:24:21,560
+شو يعني range لل function، وهنتعرف على شغلة
+
+251
+00:24:21,560 --> 00:24:24,680
+بنسميها ال x-blast function أو ال x-blast equation
+
+252
+00:24:24,680 --> 00:24:29,430
+وال m-blast equation احنا سابقاً قلنا أهم ميزة اللي
+
+253
+00:24:29,430 --> 00:24:34,450
+وجدت في الجبر إن كل متغير له أو كل كمية لها اسم 
+
+254
+00:24:34,450 --> 00:24:38,210
+مظبوط وضربنا مثال تبع السرعة يقول هاي في عندي ال
+
+255
+00:24:38,210 --> 00:24:43,530
+gravity الجاذبية الأرضية وعندي ال T ال Time وعندي
+
+256
+00:24:43,530 --> 00:24:46,810
+ال H الارتفاع وعندي لو أنا بتكلم على الكتلة في
+
+257
+00:24:46,810 --> 00:24:50,390
+عندي ال M باستخدام الرموز وكل رمز بيأثر أو عفواً
+
+258
+00:24:50,390 --> 00:24:57,440
+بيشير لكمية محددة الآن لما أنا باتكلم على equation
+
+259
+00:24:57,440 --> 00:25:00,640
+سواء كانت من الدرجة الأولى أو الدرجة الثانية كنت
+
+260
+00:25:00,640 --> 00:25:06,860
+بكتب يا شباب ال Y تساوي X تربيع زائد AX تربيع زائد BX
+
+261
+00:25:06,860 --> 00:25:12,580
+زائد C مصموط؟ وقلت أنا في عندي coefficients في
+
+262
+00:25:12,580 --> 00:25:19,160
+عندي ثوابت من هما ال A وال B وال C مين المتغير عندي؟
+
+263
+00:25:19,160 --> 00:25:22,260
+X بس أنا فعلياً عندي متغير واحد ولا اثنين في
+
+264
+00:25:22,260 --> 00:25:29,870
+المعادلة؟ متغيرين ال Y وقيمة ال X وكل ما تتغير
+
+265
+00:25:29,870 --> 00:25:36,770
+قيمة ال X تتغير قيمة ال Y معناته أنا بدي أنتبه إن
+
+266
+00:25:36,770 --> 00:25:41,910
+في كل معادلة في عندي dependent variable وفي عندي
+
+267
+00:25:41,910 --> 00:25:47,090
+independent في عندي معامل أو متغير مستقل ومتغير
+
+268
+00:25:47,090 --> 00:25:50,330
+تابع في عندي هنا dependent 
+
+269
+00:25:58,880 --> 00:26:10,340
+variable متغير تابع independent المتغير
+
+270
+00:26:10,340 --> 00:26:14,060
+المستقل المتغير المستقل المستقل المستقل المستقل
+
+271
+00:26:14,060 --> 00:26:18,700
+المستقل المستقل المستقل المستقل المستقل المستقل
+
+272
+00:26:18,700 --> 00:26:18,980
+المستقل المستقل المستقل المستقل المستقل المستقل
+
+273
+00:26:18,980 --> 00:26:19,060
+المستقل المستقل المستقل المستقل المستقل المستقل
+
+274
+00:26:19,060 --> 00:26:19,100
+المستقل المستقل المستقل المستقل المستقل المستقل
+
+275
+00:26:19,100 --> 00:26:19,140
+المستقل المستقل المستقل المستقل المستقل المستقل
+
+276
+00:26:19,140 --> 00:26:23,100
+المستقل المستقل المستقل المستقل المستقل ال Y مين
+
+277
+00:26:23,100 --> 00:26:27,940
+المتغير التابع؟ ال Y مين المتغير المستقل؟ لأن X
+
+278
+00:26:27,940 --> 00:26:32,600
+هي اللي بتحدد قيمة Y مش العكس X بتحدد قيمة Y مش
+
+279
+00:26:32,600 --> 00:26:40,740
+العكس عادةً لما بيجي بكتب المعادلة بشكل صريح هيك
+
+280
+00:26:40,740 --> 00:26:43,440
+بقول ال Y يعني بين قوسين بياخد ال dependent 
+
+281
+00:26:43,440 --> 00:26:47,680
+variable بحطه في side و بحط ال equation كلها في ال
+
+282
+00:26:47,680 --> 00:26:52,100
+side الثاني زي ما هو موجود انه هنا Y تساوي ال Y
+
+283
+00:26:52,100 --> 00:26:55,880
+على اليسار و ال equation كلها جاي وين؟ في اليمين
+
+284
+00:26:55,880 --> 00:27:01,820
+لاحظ جاي هي ال dependent وهنا
+
+285
+00:27:01,820 --> 00:27:03,320
+ال independent
+
+286
+00:27:08,660 --> 00:27:12,660
+فصلهم عن بعض لما تكون المعادلة مكتوبة بالشكل هذا
+
+287
+00:27:12,660 --> 00:27:19,020
+تمام فهو قاعد يقول لك هذه معادلة صريحة ويقول عنها
+
+288
+00:27:19,020 --> 00:27:27,700
+احنا في الـ exam list equation صريحة معادلة
+
+289
+00:27:27,700 --> 00:27:34,340
+صريحة في الـ exam list طيب الآن لما بروح يقول الدائرة أو
+
+290
+00:27:34,340 --> 00:27:46,890
+مساحة الدائرة الـ area تساوي π R تربيع مين
+
+291
+00:27:46,890 --> 00:27:52,770
+الـ dependent variable الـ area المساحة يتم تحديدها
+
+292
+00:27:52,770 --> 00:27:59,590
+تبعا لنصف القطر و الـ R هي الـ independent تمام اللي
+
+293
+00:27:59,590 --> 00:28:03,330
+بيقول عنها المتغير المستقل ممتاز
+
+294
+00:28:06,820 --> 00:28:14,660
+لو أنا موجود عند المساحة ومطلوب مني أجيب الـ R وأروح
+
+295
+00:28:14,660 --> 00:28:24,920
+أكتب المعادلة هيك R تساوي الجذر التربيعي لـ π على
+
+296
+00:28:24,920 --> 00:28:29,160
+الـ Area الـ Area على π
+
+297
+00:28:36,000 --> 00:28:40,060
+Area على π أيوة
+
+298
+00:28:40,060 --> 00:28:44,780
+صحيك المعادلة Area على π هي نفس المعادلة مظبوط
+
+299
+00:28:44,780 --> 00:28:51,760
+ولا لأ بس بنقول عنها معادلة ضمنية لإيش؟ لإن صرت أنا
+
+300
+00:28:51,760 --> 00:28:56,240
+جبت بقى أتكلم إنه صرت بقول إن المعامل أخدت
+
+301
+00:28:56,240 --> 00:29:01,860
+المعامل المستقل وجبته داخل طرفين اثنين اتعاطوا طبعا فهذه
+
+302
+00:29:01,860 --> 00:29:04,780
+المعادلة أو كل المعادلات اللي ممكن تشوف عليها شكل
+
+303
+00:29:04,780 --> 00:29:09,340
+ثاني أنت هذه بنسميها احنا إذا ما كانت صريحة فبنقول
+
+304
+00:29:09,340 --> 00:29:16,040
+عنها معادلة ضمنية Implicit أو أنا بنسميها Implicit
+
+305
+00:29:16,040 --> 00:29:21,120
+function المعادلات
+
+306
+00:29:21,120 --> 00:29:25,140
+ممكن تحتوي على متغيرين أحيانا بعض المعادلات ممكن
+
+307
+00:29:25,140 --> 00:29:33,120
+تحتوي على متغيرين مثل حجم الوسط وأن حجم الأسطوانة
+
+308
+00:29:33,120 --> 00:29:36,580
+إيش حجم الأسطوانة يا شباب؟ الطول في القاعدة مش طول و
+
+309
+00:29:36,580 --> 00:29:41,040
+قاعدة في الدائرة في عندك مساحة الدائرة في الارتفاع
+
+310
+00:29:41,040 --> 00:29:48,760
+طب مساحة الدائرة تعتمد على الـ R الـ volume cylinder
+
+311
+00:29:48,760 --> 00:29:56,180
+volume يساوي الـ area في الارتفاع أو بالـ Area × π 
+
+312
+00:29:56,180 --> 00:30:00,900
+تربيع × H لاحظ صار في عندي two independent
+
+313
+00:30:00,900 --> 00:30:07,200
+variable متغيرين مستقلين ومتغير تابع واحد اللي هو
+
+314
+00:30:07,200 --> 00:30:15,940
+الـ volume حجم الأسطوانة لأن
+
+315
+00:30:15,940 --> 00:30:20,840
+المعادلات هاي لما أحب أكتب Y عادة بنستخدم مكانها
+
+316
+00:30:20,840 --> 00:30:32,590
+مصطلح F of X دلالة للمتغير التابع تمام F of X وهذا
+
+317
+00:30:32,590 --> 00:30:36,190
+اللي بنسميها احنا function يعني أن الـ Y هي عبارة
+
+318
+00:30:36,190 --> 00:30:40,870
+عن function بدلالة الـ X المتغير المستقل الموجود
+
+319
+00:30:40,870 --> 00:30:41,410
+عند X
+
+320
+00:30:51,140 --> 00:30:55,720
+كمان شغلة لها علاقة بالـ functions و الـ algebra اللي
+
+321
+00:30:55,720 --> 00:30:59,160
+احنا بنسميها الـ intervals إيش الـ interval؟
+
+322
+00:30:59,160 --> 00:31:06,960
+الفترات، فترة، شو يعني فترة؟ فترة هي لما بتكلم على
+
+323
+00:31:06,960 --> 00:31:12,830
+فترة من الأعداد، معناته أنا بتكلم شغلة لها بداية و
+
+324
+00:31:12,830 --> 00:31:16,470
+لها نهاية وبناء على البداية والنهاية هل هما
+
+325
+00:31:16,470 --> 00:31:20,330
+متضمنات من ضمن الـ options اللي عندي بقدر أقول أنا
+
+326
+00:31:20,330 --> 00:31:25,350
+الفترة هذه مفتوحة أو مغلقة تعال نشوف على سبيل
+
+327
+00:31:25,350 --> 00:31:30,550
+المثال بنقول الأرقام من واحد لعشرين الأرقام من
+
+328
+00:31:30,550 --> 00:31:37,850
+واحد لعشرين هي تمثل interval تمام؟
+
+329
+00:31:39,060 --> 00:31:49,370
+الآن الـ 9 عمل ضمن الـ interval 13 7 20 1 21 لأ الآن
+
+330
+00:31:49,370 --> 00:31:54,010
+يا شباب حتى العشرين والواحد هدول صار عليهم كلان
+
+331
+00:31:54,010 --> 00:31:58,330
+أحدد نوع الفترة لما بيجي بقول لي closed interval
+
+332
+00:31:58,330 --> 00:32:03,910
+فترة مغلقة يعني الواحد والعشرين من ضمن العناصر
+
+333
+00:32:03,910 --> 00:32:07,710
+اللي في الفترة وعادة بنوزعها بالشكل هذا لقواس
+
+334
+00:32:07,710 --> 00:32:13,930
+المربعة 1 إلى 20 وهذه تساوي تماما أن الـ X تبعتي
+
+335
+00:32:13,930 --> 00:32:19,850
+هتأخذ قيمة من 1 X أكبر أو تساوي 1 أقل أو
+
+336
+00:32:19,850 --> 00:32:25,050
+تساوي الـ 20 هذا بيسميه احنا closed interval فترة
+
+337
+00:32:25,050 --> 00:32:30,790
+مغلقة في المقابل أنا في عندي الفترة المفتوحة اللي
+
+338
+00:32:30,790 --> 00:32:38,150
+بيكون عكسها تماما إيش فترة مفتوحة أن العناصر مش
+
+339
+00:32:38,150 --> 00:32:42,050
+موجودة من ضمن الخيارات أو بين قوسين نقول أن الـ X
+
+340
+00:32:42,050 --> 00:32:45,110
+أكبر من 1 لاحظ جاي شو بيقول أكبر أو تساوي أنا
+
+341
+00:32:45,110 --> 00:32:50,170
+الـ X أكبر من 1 يعني الـ X لا تساوي 1 والـ X
+
+342
+00:32:50,170 --> 00:32:54,150
+أقل من 20 يعني العشرين كمان مش من ضمن الخيارات
+
+343
+00:32:54,150 --> 00:32:58,450
+وهذه احنا بنسميها إيش open interval في عندي فترة
+
+344
+00:32:58,450 --> 00:33:03,760
+نصف مفتوحة أو نصف مغلقة سميها زي ما بدك اللي بتكون
+
+345
+00:33:03,760 --> 00:33:08,060
+إما بتتضمن اللي بتكون تتضمن واحد من الطرفين لما
+
+346
+00:33:08,060 --> 00:33:16,780
+باجي بقول من 1 إلى 20 هذه
+
+347
+00:33:16,780 --> 00:33:22,460
+X أكبر أو تساوي 1 أقل من 20 أو في عندي برضه
+
+348
+00:33:22,460 --> 00:33:24,580
+فترة مفتوحة أو نصف مفتوحة
+
+349
+00:33:29,740 --> 00:33:35,960
+الـ X أكبر من 1 أقل أو تساوي الـ 20 تمام؟ ليش
+
+350
+00:33:35,960 --> 00:33:38,820
+هذا الكلام بيهمني الآن؟ عشان بدي أنتقل لشغلة
+
+351
+00:33:38,820 --> 00:33:42,060
+نسميها الـ domain و الـ range الخاص بالـ functions
+
+352
+00:33:42,060 --> 00:33:47,360
+على
+
+353
+00:33:47,360 --> 00:33:54,060
+الرسم عادة الفترة النصف مفتوحة ونصف مغلقة الشجرة
+
+354
+00:33:54,060 --> 00:33:58,330
+المغلقة من خلالها بنرسمها Dot closed Dot بينما
+
+355
+00:33:58,330 --> 00:34:03,170
+الطرف الثاني بنعملها Circle دائرة Open Interval
+
+356
+00:34:03,170 --> 00:34:11,030
+Closed Interval على الطرفين الآن
+
+357
+00:34:11,030 --> 00:34:16,390
+دي ميزة المعادلات لما
+
+358
+00:34:16,390 --> 00:34:20,770
+كتبنا قبل شوية Y تساوي
+
+359
+00:34:20,770 --> 00:34:25,930
+AX تربيع زائد BY عفوا BX
+
+360
+00:34:28,770 --> 00:34:35,870
+زائد C وقولنا بدنا نشيل الـ Y ونحط مكانها F of X
+
+361
+00:34:35,870 --> 00:34:40,590
+إيش أنا بستفيد من الـ interval؟ بحدد العناصر اللي
+
+362
+00:34:40,590 --> 00:34:46,650
+أنا بدي أخدهم من مين لقيمة X مش قولنا احنا الآن الـ
+
+363
+00:34:46,650 --> 00:34:51,110
+X بتمثل الـ independent variable الـ X independent
+
+364
+00:34:51,110 --> 00:34:56,760
+variable ميزة الـ Interval بتعطيني المكان أو
+
+365
+00:34:56,760 --> 00:35:00,500
+بتحدد لي المكان أو الخيارات تبعت الـ X بشكل دقيق
+
+366
+00:35:00,500 --> 00:35:09,540
+إذا كنت أنا بتكلم على Interval أو
+
+367
+00:35:09,540 --> 00:35:15,220
+مجموعة تمام؟
+
+368
+00:35:15,220 --> 00:35:20,460
+لعناصر الـ X معناته أنا بتكلم على شغل بيسميها الـ
+
+369
+00:35:20,460 --> 00:35:22,860
+domain المجال
+
+370
+00:35:28,710 --> 00:35:32,730
+الآن إيش المجال؟ هو عبارة عن الـ interval أو
+
+371
+00:35:32,730 --> 00:35:40,250
+المجموعة اللي أنا بدي أخد الـ X من خلالها طيب لو أنا
+
+372
+00:35:40,250 --> 00:35:50,310
+اجيت قلت F of X تساوي X تربيع زائد خمسة المفهوم يا
+
+373
+00:35:50,310 --> 00:35:55,810
+شباب لما أقول لك إيش الـ possible domain للـ F of X
+
+374
+00:35:55,810 --> 00:35:59,890
+هذه أو للدالة هذه معناته أنا بسألك إيش هي
+
+375
+00:35:59,890 --> 00:36:04,570
+الخيارات المفتوحة أمامي من الأرقام عشان أخد قيمة X
+
+376
+00:36:04,570 --> 00:36:09,750
+وتبقى الدالة هذه معرفة بدون مشاكل في حالة زي هذه
+
+377
+00:36:09,750 --> 00:36:18,400
+هل في عندك مشاكل مع أي رقم؟ مع سالب؟ سالب موجب صفر
+
+378
+00:36:18,400 --> 00:36:24,340
+في أرقام؟ لأ معناته أنا بقول الـ domain كل الـ R كل
+
+379
+00:36:24,340 --> 00:36:28,260
+الأعداد الحقيقية لكن تعال شوف المسألة هاي الثانية
+
+380
+00:36:28,260 --> 00:36:37,840
+F of X بدها تساوي 1 على X تربيع زائد 5
+
+381
+00:36:42,380 --> 00:36:46,860
+ممتاز الآن كل أي رقم ممكن يخطر على بالك هتبقى
+
+382
+00:36:46,860 --> 00:36:51,740
+المعادلة صحيحة ماعدا رقم واحد اللي هو الصفر إذا
+
+383
+00:36:51,740 --> 00:36:55,420
+أنا دخلت الصفر في الموضوع معناته 1 على صفر قيمة
+
+384
+00:36:55,420 --> 00:36:59,120
+غير معرفة معناته F of X كلها غير معرفة ما بقيش الـ
+
+385
+00:36:59,120 --> 00:37:04,460
+domain الآن الـ domain الـ
+
+386
+00:37:04,460 --> 00:37:06,300
+R ناقص الصفر
+
+387
+00:37:10,690 --> 00:37:16,130
+هذه الصيغة من أين جلبناها؟ أو بروح أكتبها أنا R
+
+388
+00:37:16,130 --> 00:37:20,170
+star لكن هذه الصيغة غريبة علينا لأ لما أخذنا في
+
+389
+00:37:20,170 --> 00:37:23,930
+المجموعات قلنا الفرق تمام إيه الـ minus P في
+
+390
+00:37:23,930 --> 00:37:27,030
+المجموعات؟ إيش العناصر اللي بتميز المجموعة؟ قولها
+
+391
+00:37:27,030 --> 00:37:30,630
+عن المجموعة الثانية هذه المجموعة فيها عنصر واحد
+
+392
+00:37:30,630 --> 00:37:34,010
+الصفر مع أن كل العناصر معها ده الصفر أو الرمز
+
+393
+00:37:34,010 --> 00:37:39,010
+الأسهل R star يعني بانجو سين لما أنا باتكلم للـ
+
+394
+00:37:39,010 --> 00:37:42,470
+domain تبع الـ function بسألك إيش الـ domain تبع الـ
+
+395
+00:37:42,470 --> 00:37:46,490
+function هاي بدك تعطيني interval أو مجموعة set أو
+
+396
+00:37:46,490 --> 00:37:54,470
+interval بحيث إنه تبقى الدالة معرفة وبشكل صحيح طيب
+
+397
+00:37:54,470 --> 00:37:59,310
+الآن
+
+398
+00:37:59,310 --> 00:38:06,060
+في أنا شغل مهم جدا الـ follow أو عفوا الـ function F
+
+399
+00:38:06,060 --> 00:38:14,280
+هذه هي عبارة عن الـ Transformation من
+
+400
+00:38:14,280 --> 00:38:18,300
+A إلى B آخر Transformation مقصود فيه مش احنا قلنا
+
+401
+00:38:18,300 --> 00:38:23,200
+الـ Y هي عبارة عن الـ Dependent Variable تعال نجي
+
+402
+00:38:23,200 --> 00:38:27,700
+على سبيل المثال على
+
+403
+00:38:27,700 --> 00:38:30,780
+المثال الأول هذا بعد ما حددنا احنا الآن الـ domain
+
+404
+00:38:30,780 --> 00:38:31,180
+R
+
+405
+00:38:35,960 --> 00:38:40,560
+لما أنا بدي أخد ولاحظ إنه بياخد قيمة X اللي هي الـ
+
+406
+00:38:40,560 --> 00:38:46,520
+Independent مظبوط وبعمل عليها Processing بنفذ
+
+407
+00:38:46,520 --> 00:38:50,080
+عليها بعض العملية الحسابية عشان يحصل على قيمة
+
+408
+00:38:50,080 --> 00:38:54,740
+جديدة مظبوط العملية الحسابية هي اللي احنا بنسميها
+
+409
+00:38:54,740 --> 00:39:00,000
+Transformation تحويل الرقم من القيمة X يعني هيك لو
+
+410
+00:39:00,000 --> 00:39:06,150
+أنا سألتك F of X F of 2 يا شباب إيش تساوي؟ حسب
+
+411
+00:39:06,150 --> 00:39:13,610
+المعادلة وهذه 9 يعني عمل Transformation من
+
+412
+00:39:13,610 --> 00:39:17,770
+الـ 2 إلى الـ 9 أو البعض بيسميها Mapping عمل
+
+413
+00:39:17,770 --> 00:39:21,590
+association أو ربط بين الـ 2 والـ 9 من خلال
+
+414
+00:39:21,590 --> 00:39:27,790
+المعادلة اللي موجودة عندها الآن الـ 2 جاية من الـ
+
+415
+00:39:27,790 --> 00:39:32,990
+domain طب
+
+416
+00:39:32,990 --> 00:39:39,100
+والـ 9 المجال المقابل اللي احنا بنسميها Co-domain
+
+417
+00:39:39,100 --> 00:39:44,980
+تمام؟
+
+418
+00:39:44,980 --> 00:39:52,360
+وبالتالي الـ function هي عبارة عن association أو
+
+419
+00:39:52,360 --> 00:39:57,900
+ربط بين الـ domain و الـ co-domain تمام؟ إيش الـ co
+
+420
+00:39:57,900 --> 00:40:01,160
+-domain اللي هي بين جثين عناصر الـ Y؟ مش هذه القيمة
+
+421
+00:40:01,160 --> 00:40:07,330
+تمثل Y؟ مش هذه تمثل Y؟ the dependent variable ستكون
+
+422
+00:40:07,330 --> 00:40:13,010
+التسعة قيمة لـ the dependent variable ولمّا أنا بغير f
+
+423
+00:40:13,010 --> 00:40:22,050
+of ثلاثة تساوي تسعة وخمسة أربع عشرة وهذه عبارة عن
+
+424
+00:40:22,050 --> 00:40:26,590
+قيم الـ Y اللي ممكن تكون موجودة الآن اللي بقى أتكلم
+
+425
+00:40:26,590 --> 00:40:32,990
+أن الـ A F من A إلى B
+
+426
+00:40:39,750 --> 00:40:44,850
+مباشرة بدّي تفهم أن الـ A هي the domain of the function
+
+427
+00:40:44,850 --> 00:40:50,570
+والـ B the target of the function أو the codomain الـ A
+
+428
+00:40:50,570 --> 00:40:55,510
+معناته هي the domain اللي أنا بأخذ منها عناصر عناصر
+
+429
+00:40:55,510 --> 00:41:00,570
+X قيم X اللي أنا بأخذ منها قيم X بأخذ منها عناصر
+
+430
+00:41:00,570 --> 00:41:04,750
+عشان تمثل قيم X بينما the target أو the codomain
+
+431
+00:41:08,810 --> 00:41:12,050
+بتمثل المجال المقابل اللي هي عناصر الـ Y أو قيم
+
+432
+00:41:12,050 --> 00:41:16,330
+الـ Y الآن
+
+433
+00:41:16,330 --> 00:41:21,950
+لو
+
+434
+00:41:21,950 --> 00:41:28,650
+أنا أتيت وقلت كالتالي الـ F معرفة من الـ R للـ R على
+
+435
+00:41:28,650 --> 00:41:33,610
+صورة F of X بتساوي X تربيع زائد خمسة اللي هي
+
+436
+00:41:33,610 --> 00:41:35,090
+المعادلة اللي احنا كتبناها قبل شوية
+
+437
+00:41:39,910 --> 00:41:45,190
+الآن the domain R the core domain أو the target R
+
+438
+00:41:45,190 --> 00:41:50,330
+ممتاز هل في أي مشكلة بين عناصر بالتعريف المعادل
+
+439
+00:41:50,330 --> 00:41:55,270
+بالشكل هذا الـ X معرفة مع أي element في الـ R مظبوطة
+
+440
+00:41:55,270 --> 00:41:59,330
+قدرة معرفة وكل الـ output أو كل الناتج هيكون إيه؟
+
+441
+00:41:59,330 --> 00:42:04,510
+من الـ R لكن هناك أنا عندي subset أو مجموعة جزئية
+
+442
+00:42:04,510 --> 00:42:10,720
+من الـ R بتمثل كل القيم اللي بتاخدها Y خلينا نبدأ
+
+443
+00:42:10,720 --> 00:42:15,780
+على سبيل المثال نأخذ 3 قيم F of سالب واحد يا شباب
+
+444
+00:42:15,780 --> 00:42:28,720
+إيش تساوي 6 F of صفر 5 F of واحد 6 F of سالب اثنين
+
+445
+00:42:28,720 --> 00:42:33,900
+9 F of اثنين تسعة
+
+446
+00:42:37,490 --> 00:42:44,490
+يعني أنا فعليًا مجموعة القيم تبعت الـ Y هذه مش كل الـ
+
+447
+00:42:44,490 --> 00:42:49,770
+R، مظبوط؟ ممكن تكون كل الـ R؟ مستحيل تكون كل الـ R
+
+448
+00:42:49,770 --> 00:42:53,770
+لما يظهر قيمة موجودة عندي وين؟ خمسة، بعد ذلك كل
+
+449
+00:42:53,770 --> 00:42:58,430
+القيم هتكون أكبر منها، مظبوط؟ حتى لو أنت بدّك تأخذ
+
+450
+00:42:58,430 --> 00:43:04,780
+ربع، واحد يقول بدّي اخذ ربع، هيقفز ربع واحد على أربعة
+
+451
+00:43:04,780 --> 00:43:08,960
+أو خمسة وعشرين من مئة نص يا سيدي ونص أفوف نص
+
+452
+00:43:08,960 --> 00:43:15,040
+تساوي ربع زائد خمسة خمسة فاصلة خمسة وعشرين يعني
+
+453
+00:43:15,040 --> 00:43:21,420
+فعليًا أصغر قيمة عندك الخمسة ما في تربيع لما تأخذ
+
+454
+00:43:21,420 --> 00:43:29,760
+سالب كل القيم هتكون موجبة نص تربيع ربع زائد خمسة
+
+455
+00:43:29,760 --> 00:43:39,740
+خمسة وربع تمام الآن بما أن الـ Y مش ضابور تكون كل
+
+456
+00:43:39,740 --> 00:43:43,620
+the range عفواً مش كل the codomain أو المجال
+
+457
+00:43:43,620 --> 00:43:48,680
+target set فببقصير أتكلم أنا على مجموعة جديدة
+
+458
+00:43:48,680 --> 00:43:56,020
+أسميها the range وهي عبارة عن مجموعة الصور تمام؟
+
+459
+00:43:56,020 --> 00:44:02,520
+إيش الصور؟ صورة X النواتج الـ Y قيم الـ Y فلما أنا
+
+460
+00:44:02,520 --> 00:44:09,120
+بأتكلم على the range بتكلم على الخيارات أو المجموعة
+
+461
+00:44:09,120 --> 00:44:13,560
+اللي بتحتوي بشكل دقيق على قيم الـ Y النواتج تبعت
+
+462
+00:44:13,560 --> 00:44:17,780
+المعادلة الآن التعريف هذا تبع المعادلة صحيح فأنا
+
+463
+00:44:17,780 --> 00:44:23,360
+قلت the domain R والـ Target R the Codomain R المجال
+
+464
+00:44:23,360 --> 00:44:26,820
+المقابل لأنه أنا بزوّده بعدب حقيقي بدينا عدب حقيقي
+
+465
+00:44:26,820 --> 00:44:31,300
+طب بدّي تفصيل أكثر عن الصور اللي بتطلع المدى المدى
+
+466
+00:44:31,300 --> 00:44:36,220
+كان سمّوها بالعربي شكراً لك المدى إيش العناصر اللي
+
+467
+00:44:36,220 --> 00:44:39,100
+بتطلع في المدى عندي أو في the target أو في the range
+
+468
+00:44:39,100 --> 00:44:43,620
+عفواً هي عبارة عن مجموعة الصور قيم الـ Y فأنا ممكن
+
+469
+00:44:43,620 --> 00:44:46,680
+أعرفها بشكل دقيق للآن كيف ممكن أعرفها الشباب؟
+
+470
+00:44:49,490 --> 00:44:55,990
+R أكبر أو تساوي خمسة راح أقوله هيك R أكبر أو تساوي
+
+471
+00:44:55,990 --> 00:45:00,490
+خمسة راح
+
+472
+00:45:00,490 --> 00:45:04,590
+أقوله هيك الـ Y أكبر أو تساوي خمسة Y أول حاجة تنتمي
+
+473
+00:45:04,590 --> 00:45:11,230
+للـ R and الـ Y أكبر أو تساوي خمسة دلالة علشان أن
+
+474
+00:45:11,230 --> 00:45:15,740
+الناتج عبارة عن عدد حقيقي لكن دائماً هو أكبر أو
+
+475
+00:45:15,740 --> 00:45:20,420
+يساوي خمسة أو ممكن أنا هكتبها interval ولا مش ممكن
+
+476
+00:45:20,420 --> 00:45:26,160
+هأقوله the range يساوي
+
+477
+00:45:26,160 --> 00:45:33,340
+خمسة كماء إلى ما لا نهاية مظبوط؟
+
+478
+00:45:33,340 --> 00:45:37,060
+وهذه دلالة على أنه هي الفترة بشكل ضمني وبهيك أنا
+
+479
+00:45:37,060 --> 00:45:41,550
+بدّي أصير أنتبه مع الدوال إيش القيام اللي موجودة
+
+480
+00:45:41,550 --> 00:45:43,990
+عندها؟ واحدة من الدوال اللي احنا بنشوفها باستمرار
+
+481
+00:45:43,990 --> 00:45:49,070
+يا شباب the sine و the cosine خلّيني
+
+482
+00:45:49,070 --> 00:45:53,850
+نأخذ على سبيل المثال the sine هاتي دالة وبتأخذ the
+
+483
+00:45:53,850 --> 00:45:58,090
+variable θ تنتهي الزاوية الزاوية من جداش لجداش
+
+484
+00:45:58,090 --> 00:46:04,890
+تتراوح من صفر إلى ثلاث مائة وسبعين ثلاث مائة و
+
+485
+00:46:04,890 --> 00:46:12,270
+سبعين هي الصفر 359.99% كلامك صح 100% هكذا وبالتالي
+
+486
+00:46:12,270 --> 00:46:16,570
+أنا اتزاوية عندي
+
+487
+00:46:16,570 --> 00:46:25,410
+دوارة صح بتبدأ من صفر تسعين مائة وثمانين متين و
+
+488
+00:46:25,410 --> 00:46:31,810
+سبعين وبترجع للصفر هاي
+
+489
+00:46:31,810 --> 00:46:35,530
+الـ θ عفواً الآن
+
+490
+00:46:36,740 --> 00:46:41,280
+إيش ممكن أقول للـ Range هنا؟ بالمناسبة لو أنت قلت
+
+491
+00:46:41,280 --> 00:46:48,640
+من صفر إلى ما لا نهاية صح صح بس إيش بتصير عندك؟
+
+492
+00:46:48,640 --> 00:46:53,280
+عندك ثلاثمئة وستين يعني صفر ثلاثمئة واحد وستين
+
+493
+00:46:53,280 --> 00:46:57,540
+واحد يعني هتبدأ الـ cycle نفسها تتكرر نعم كامل ولا
+
+494
+00:46:57,540 --> 00:46:58,900
+كامل؟ كامل
+
+495
+00:47:01,970 --> 00:47:04,650
+قيمة الـ Sin السالب .. اه أنت شوف أنت بدأت تتكلم
+
+496
+00:47:04,650 --> 00:47:08,510
+على إيش؟ بدأت تتكلم على the Range أنا ما زلت
+
+497
+00:47:08,510 --> 00:47:13,230
+أتكلم على the domain تمامًا كامل وبالتالي يا شباب
+
+498
+00:47:13,230 --> 00:47:17,790
+أنت بدأت تنتبه دائماً للدالة اللي موجودة عندك أولاً
+
+499
+00:47:17,790 --> 00:47:22,550
+من أجل أن تتأكد أن الدالة هذه صحيحة ولا غير صحيحة
+
+500
+00:47:23,280 --> 00:47:26,920
+اثنين عشان يكون عندك تصور عن الناتج تبعتها كيف بدأ
+
+501
+00:47:26,920 --> 00:47:30,240
+تطلع تتذكر لما جلالك نقطة الميه في المقدمة أو في
+
+502
+00:47:30,240 --> 00:47:33,200
+الأول slide لما شفناها مع بعض نزلت نقطة الميه
+
+503
+00:47:33,200 --> 00:47:39,960
+وعملت إيش دوائر والدوائر بدأت تكبر جلالك
+
+504
+00:47:39,960 --> 00:47:43,660
+حالياً ما بتقدر ترسمها إلا غير باستخدامك the sine أو
+
+505
+00:47:43,660 --> 00:47:47,870
+the cosine ليش طيب ما هي هيك the sine و the cosine موجة
+
+506
+00:47:47,870 --> 00:47:51,330
+مبسوط أو لأ بلا أو هأشوفه بالتفصيل أكثر لما نتكلم
+
+507
+00:47:51,330 --> 00:47:58,350
+على شرط حساب المثلثات واضح
+
+508
+00:47:58,350 --> 00:48:03,270
+يا شباب الآن يعني أنا في عندي تلك مجموعات عند الـ
+
+509
+00:48:03,270 --> 00:48:07,990
+domain وفي
+
+510
+00:48:07,990 --> 00:48:15,210
+عند the target أو بين جثين the code و the main وفي عند
+
+511
+00:48:15,210 --> 00:48:24,500
+the range اللي هي المدى الـ X تنتمي لمين؟ للـ domain
+
+512
+00:48:24,500 --> 00:48:33,560
+الـ Y تنتمي للـ target والـ Y تنتمي للـ range اللي هي
+
+513
+00:48:33,560 --> 00:48:39,380
+جزء من من the target set يعني the range هي عبارة عن
+
+514
+00:48:39,380 --> 00:48:42,880
+مجموعة جزئية من the target تمام
+
+515
+00:48:48,970 --> 00:48:51,890
+تأكيدًا للكلام هذا تعال تشوف الرسمة اللي موجودة
+
+516
+00:48:51,890 --> 00:49:02,170
+عندي هنا عندي دالة F of X بدها تساوي 2X زائد 1 أنا
+
+517
+00:49:02,170 --> 00:49:08,710
+عرفت the domain من 1 ل 4 إيه الـ output اللي بدّه
+
+518
+00:49:08,710 --> 00:49:14,700
+يطلع عندي أول شيء the domain من واحد لعشرة the core
+
+519
+00:49:14,700 --> 00:49:18,620
+domain عفواً the target مين the renders اللي موجودة
+
+520
+00:49:18,620 --> 00:49:29,480
+عندي ثلاثة خمسة سبعة وتسعة أعداد
+
+521
+00:49:29,480 --> 00:49:34,820
+فردية لأن التسعة مش أولى مظبوط والواحد مش من ضمنهم
+
+522
+00:49:34,820 --> 00:49:42,230
+يعني هيك تشوف قلت قلت أن الآن بتساوي المجموعة 1,2
+
+523
+00:49:42,230 --> 00:49:53,210
+,3,4 وجئت قلت الـ B تساوي 1,2,3,4,5,6,8,9,10
+
+524
+00:49:53,210 --> 00:49:59,770
+كمجموعات ورحت قلت أنا الدالة تبعتي F تم تعريفها
+
+525
+00:49:59,770 --> 00:50:08,320
+من الـ A إلى الـ B أول بحيث أن F of X تساوي 2x زائد 1
+
+526
+00:50:08,320 --> 00:50:14,020
+أول حاجة بدّك تتأكد منها أن هل الدالة فعليًا معرفة
+
+527
+00:50:14,020 --> 00:50:19,000
+عند كل عناصر الدمين يعني ما فيش فيها ولا مشكلة مع
+
+528
+00:50:19,000 --> 00:50:24,460
+أي element في الدمين عادة المشاكل شبه إنما تقسيمها
+
+529
+00:50:24,460 --> 00:50:28,740
+على صفر أو تطلع على قيمة سالبة تحت الجذر بس بدون
+
+530
+00:50:28,740 --> 00:50:35,840
+هيك ما فيش عندك مشاكل بدون هيك ما فيش عندك مشاكل الآن
+
+531
+00:50:35,840 --> 00:50:38,760
+في الحالة هذه هل في عندي مشاكل مع the domain أنا؟
+
+532
+00:50:38,760 --> 00:50:43,120
+لا معناته دالة معرفة على the domain بشكل صحيح ممتاز
+
+533
+00:50:43,120 --> 00:50:48,240
+الآن الـ B هيها أنا صارها بقى حاجة أسأل إيش الـ
+
+534
+00:50:48,240 --> 00:50:53,980
+range the range قلنا هو عبارة عن مجموعة جزئية من الـ
+
+535
+00:50:53,980 --> 00:50:57,560
+Co-domain مجموعة جزئية من الـ Co-domain ممكن تكون
+
+536
+00:50:57,560 --> 00:51:01,280
+كلها وممكن تكون جزء منها باستثناء بعض الأرقام حسب
+
+537
+00:51:01,280 --> 00:51:07,820
+المثال اللي عندي هنا الـ Co-domain ثلاثة خمسة سبعة
+
+538
+00:51:07,820 --> 00:51:16,300
+وتسعة the range يساوي هذه الأرقام اللي عندي ما سواش
+
+539
+00:51:16,300 --> 00:51:20,240
+كل الـ B طبعًا وضروري نبقى مفرّجين بين العناصر اللي
+
+540
+00:51:20,240 --> 00:51:24,310
+موجودة عندي هنا في الرسم البياني للدوال طبعًا هذا
+
+541
+00:51:24,310 --> 00:51:28,730
+عشان أوضح الـ mapping لكن في الرسم البياني برضه نفس
+
+542
+00:51:28,730 --> 00:51:34,590
+الكلام عناصر the domain محور
+
+543
+00:51:34,590 --> 00:51:40,690
+الصادات X وthe range المفروض الصادات أو جزء من
+
+544
+00:51:40,690 --> 00:51:45,550
+الصادات هي الدالة تبعتي بتروح ضمن العناصر اللي
+
+545
+00:51:45,550 --> 00:51:48,910
+موجودة زي ما جالس مني اللي جايب شوية أن the sine
+
+546
+00:51:51,950 --> 00:51:56,990
+هي 1 وسالب 1 تتراوح
+
+547
+00:51:56,990 --> 00:52:03,670
+ما بينهم إيش the range تبع the sine من
+
+548
+00:52:03,670 --> 00:52:09,810
+صفر لسالب 1 من صفر لواحد
+
+549
+00:52:13,200 --> 00:52:17,900
+من سالب 1 لواحد أو من واحد لسالب 1 فأنت بناء
+
+550
+00:52:17,900 --> 00:52:21,960
+على الرسمة قدامك أو فهمك للدالة بتقدر بكل بساطة إيش
+
+551
+00:52:21,960 --> 00:52:30,920
+تقول إيش القيمة اللي موجودة عندها تمام شباب تعال
+
+552
+00:52:30,920 --> 00:52:37,440
+نشوف الدوال اللي موجودة عندها بشكل سريع خليني مع
+
+553
+00:52:37,440 --> 00:52:39,440
+كل دالة في الأول بدّي أتكلم على the domain
+
+554
+00:52:46,630 --> 00:52:59,210
+و the target وبعدين نتكلم علاش the range الدالة
+
+555
+00:52:59,210 --> 00:53:02,990
+الأولى اقترح عليّ أنت الآن the domain اقترح عليّ
+
+556
+00:53:02,990 --> 00:53:09,530
+the domain للدالة الأولى كل الـ R في حد معترض على الـ R
+
+557
+00:53:09,530 --> 00:53:14,730
+يا شباب في حد عنده مشاكل في الـ .. ليش اخترت الـ R يا
+
+558
+00:53:14,730 --> 00:53:19,770
+باب؟ لأن لو أخذت أي عدد حقيقي .. تطلع على الـ .. مش
+
+559
+00:53:19,770 --> 00:53:23,590
+.. الدالة هتبقى الصحيحة .. الدالة هتبقى الصحيحة ..
+
+560
+00:53:23,590 --> 00:53:28,630
+طيب إيش الناتج؟ the real number .. the real number .. 
+
+561
+00:53:28,630 --> 00:53:33,710
+مظبوط؟ لأن الآن على سبيل المثال لو أخذت سالب نص ..
+
+562
+00:53:33,710 --> 00:53:40,390
+هتطلع سالب ربع .. تطلع عندي سالب نص و واحد تطلع نص
+
+563
+00:53:40,390 --> 00:53:47,610
+كله بيميل للأرض من الـ range من
+
+564
+00:53:47,610 --> 00:53:51,730
+الواحد مش صحيح الكلام لأن في قيم بيطلع عامل اللي
+
+565
+00:53:51,730 --> 00:53:55,430
+بيحسبين أنه ممكن يطلع معانا نص من الصفر للمليون
+
+566
+00:53:55,430 --> 00:53:59,410
+نهاية طب ليش تعال خد القيمة هي ناخد سالب واحد على 
+
+567
+00:53:59,410 --> 00:54:06,100
+ثمانية أو بلاش ناخد سالب اثنين سالب أربعة وزاد واحد
+
+568
+00:54:06,100 --> 00:54:09,760
+سالب ثلاثة أنت عامل بتقول لي من صفر فلأ هاد كل الـ R
+
+569
+00:54:09,760 --> 00:54:14,320
+وأنا
+
+570
+00:54:14,320 --> 00:54:18,980
+إيش كتبت لك أن الـ range مجموعة جزئية من الـ target
+
+571
+00:54:18,980 --> 00:54:23,200
+ممكن تكون جزئية منها أو تساويها كنت بكتب لك إشارة
+
+572
+00:54:23,200 --> 00:54:28,180
+هذه دلالة على إنها إيش ممكن تكون كل الـ R هل بتقدر
+
+573
+00:54:28,180 --> 00:54:32,840
+تحصرها بشكل دقيق أو بين جسين هل في element في الـ
+
+574
+00:54:32,840 --> 00:54:37,870
+target 10 ما لهوش صورة أو أصل على سبيل المثال واحد
+
+575
+00:54:37,870 --> 00:54:43,350
+يقول جذر الاثنين بقدر بكل بساطة جذر الاثنين تساوي 2X
+
+576
+00:54:43,350 --> 00:54:50,990
+زائد 1 X بدها تساوي جذر الاثنين ناقص واحد على اثنين
+
+577
+00:54:50,990 --> 00:54:55,050
+العدد هذا عدد حقيقي ولا مش عدد حقيقي حقيقي هذه
+
+578
+00:54:55,050 --> 00:54:59,630
+صورة جذر الاثنين وبالتالي بتكلم كل الـ R بدون أي
+
+579
+00:54:59,630 --> 00:55:01,850
+استثناء تعال نشوف الدالة بعدها
+
+580
+00:55:06,170 --> 00:55:16,810
+هي شباب الدالة اللي بعدها الـ domain R الـ
+
+581
+00:55:16,810 --> 00:55:30,370
+range الـ range الـ range R star الـ target الـ target
+
+582
+00:55:30,370 --> 00:55:34,270
+بالمناسبة لو حطيت كل الـ R ما عندكاش مشكلة ما عندكاش
+
+583
+00:55:34,270 --> 00:55:44,580
+مشكلة مطلقة عشان التربيع تمام؟ طيب الـ range إيش
+
+584
+00:55:44,580 --> 00:55:57,440
+تحلل فيها؟ ممكن تكون قيمة هذا صفر؟ لأ طيب ثلاثة
+
+585
+00:55:57,440 --> 00:56:05,480
+في صفر؟ أربعة طيب واحد ثلاثة و اثنين و خمسة وتسعة
+
+586
+00:56:05,480 --> 00:56:12,000
+طب سالب واحد ثلاثة سالب اثنين واحد خمسة مستحيل
+
+587
+00:56:12,000 --> 00:56:16,180
+القيمة هذه تكون صفر لا ممكن تكون صفر ممكن تكون
+
+588
+00:56:16,180 --> 00:56:21,880
+صفر جيب الجذر إذا بتقدر تجيب جذر المعادلة معناته
+
+589
+00:56:21,880 --> 00:56:27,500
+الصفر من ضمن العناصر اللي موجودة عندهم اه بس
+
+590
+00:56:27,500 --> 00:56:30,620
+المعادلة هذه هل هي دائماً موجبة ولا ممكن تطلع معاها
+
+591
+00:56:30,620 --> 00:56:31,000
+سالب
+
+592
+00:56:35,990 --> 00:56:41,790
+ده المنطوق بقى ليش طيب
+
+593
+00:56:41,790 --> 00:56:48,570
+طيب لو أنا خلت سالب ربع أو سالب نص ثلاثة في سالب
+
+594
+00:56:48,570 --> 00:56:57,250
+نص زائد اثنين في سالب نص زائد أربعة هتصير عندي هنا
+
+595
+00:56:57,250 --> 00:57:06,350
+ثلاثة في ربع مظبوط ثلاثة على اثنين زائد اثنين ناقص واحد
+
+596
+00:57:06,350 --> 00:57:11,270
+زائد أربعة لو جد ما أنت بدك تنزل من قيمة الجذر هذا
+
+597
+00:57:11,270 --> 00:57:15,850
+الكسر هذا هتبقى الدالة موجبة لسببين يا شباب أن
+
+598
+00:57:15,850 --> 00:57:19,850
+التربيع أعلى أصل وبالتالي باطمئنان الإشارة موجبة
+
+599
+00:57:19,850 --> 00:57:23,570
+الشغل التالي في القيم الصغيرة الـ coefficient
+
+600
+00:57:23,570 --> 00:57:30,390
+تبعها أكبر من الـ X لو بدلناها ممكن تصير فيها عيش
+
+601
+00:57:30,390 --> 00:57:35,040
+تصير فيها سالبة تخيل أن العلامة هيك المعادلة
+
+602
+00:57:35,040 --> 00:57:45,300
+المعاملات بصير في عندي هنا اثنين في نص التربيع
+
+603
+00:57:45,300 --> 00:57:57,340
+زائد ثلاثة في نص زائد أربعة موجبة
+
+604
+00:57:57,340 --> 00:58:00,060
+عشان الأربعة مظبوط
+
+605
+00:58:03,940 --> 00:58:07,560
+بس هأرح لو أنا بدي أعتمد على هدول الاثنين هذه أصغر
+
+606
+00:58:07,560 --> 00:58:17,260
+من هذه صار في عندي قيمة سالبة تمام لكن
+
+607
+00:58:17,260 --> 00:58:21,580
+لأ يبقى من أنا بقدر أجيب جذرها الـ R بقدر أجيب كل الـ R
+
+608
+00:58:21,580 --> 00:58:36,450
+طيب الـ N هنا الـ N هنا الـ N star ما فيش مشكلة مع الصفر؟ ليش
+
+609
+00:58:36,450 --> 00:58:40,290
+بدون الصفر؟ إيش مشكلتك مع الصفر عند الجذر؟ جذر
+
+610
+00:58:40,290 --> 00:58:43,630
+الصفر جاءت بإيش؟ مش احنا قلنا قبل شوية صفر أس أي
+
+611
+00:58:43,630 --> 00:58:49,470
+حاجة واحد غلط احنا قلنا أي حاجة أس الصفر تساوي
+
+612
+00:58:49,470 --> 00:58:53,950
+واحد بس صفر أس أي حاجة تساوي صفر لأنك تقولنا ضارب
+
+613
+00:58:53,950 --> 00:59:00,510
+متكرر صفر صفر أس نص صفر ليش أخذنا الـ natural number
+
+614
+00:59:00,510 --> 00:59:06,550
+يا شباب؟ أيوة عشان بينفعش أحط سالب تحت الجذر بتصير
+
+615
+00:59:06,550 --> 00:59:11,090
+الدالة غير معرفة مظبوط؟ طيب وبما أن الـ natural لأ
+
+616
+00:59:11,090 --> 00:59:16,310
+في عناصر كمان لازم ممكن يكون موجود أندي طيب، بينفع
+
+617
+00:59:16,310 --> 00:59:23,010
+أخذ الجذر لأي عدد حقيقي أكبر من الصفر؟ يعني بينفع
+
+618
+00:59:23,010 --> 00:59:27,850
+أقول جذر الواحد ونص؟ بينفع وبالتالي ليش أنت قيدتها
+
+619
+00:59:27,850 --> 00:59:33,340
+لها بالـ natural number لحالها؟ عشان موجبة اه عشان
+
+620
+00:59:33,340 --> 00:59:41,560
+موجبة طب أنا ممكن أروح أقول له الـ R star شو يعني؟ بدون
+
+621
+00:59:41,560 --> 00:59:45,020
+صفر بس فيها سالب بس أنا مشكلتي مع السالب مشكلتي مش
+
+622
+00:59:45,020 --> 00:59:50,340
+مع الصفر أنا مشكلتي .. الـ R الموجبة إيش الـ R الموجبة؟
+
+623
+00:59:50,340 --> 00:59:59,950
+من صفر إلى ما لا نهاية الـ natural number لا لا الآن
+
+624
+00:59:59,950 --> 01:00:03,250
+الـ interval الآن أنا بسألك إيش الـ interval من صفر
+
+625
+01:00:03,250 --> 01:00:08,890
+لواحد هي عبارة عن كل الـ real number اللي موجودة
+
+626
+01:00:08,890 --> 01:00:12,790
+بالفترة من صفر لواحد من الصفر أكبر أو تساوي صفر و
+
+627
+01:00:12,790 --> 01:00:17,470
+أقل من الواحد فأنت يا شباب بس بكلمت به شوية
+
+628
+01:00:17,470 --> 01:00:19,950
+للمعادلة اللي موجودة عندك طيب المعادلة طب الـ
+
+629
+01:00:19,950 --> 01:00:24,410
+target تبقى إيه يا شباب إيش العدد اللي بيطلع عندي
+
+630
+01:00:24,410 --> 01:00:25,690
+هنا نفسها
+
+631
+01:00:28,580 --> 01:00:35,700
+طب شوف أنا أقول لكم أنا الـ R كلها تخيلوا
+
+632
+01:00:35,700 --> 01:00:41,580
+إيش اللي بيطلع معك من تحت الجذر أي عدد موجب لا يا
+
+633
+01:00:41,580 --> 01:00:48,440
+صاحبي الجذر الجذر التربيعي يساوي موجب أو سالب
+
+634
+01:00:48,440 --> 01:00:58,460
+اثنين وبما أن الصفر منهم ممكن أي عدد حقيقي أنا على
+
+635
+01:00:58,460 --> 01:01:05,220
+سبيل المثال بدي أشوف السبعة من ضمن الـ target سبعة
+
+636
+01:01:05,220 --> 01:01:12,660
+تساوي جذر الـ X بيفي موجودة؟ موجودة أهو تسعة موجود
+
+637
+01:01:12,660 --> 01:01:19,090
+أو سالبة هيك موجود أو سالب سبعة معناته أن في عندي 49
+
+638
+01:01:19,090 --> 01:01:23,650
+الـ X تساوي 49 بتجيب ليهم طيب سالب ثمانية فاصلة
+
+639
+01:01:23,650 --> 01:01:27,770
+ثلاثة نفس الكلام بيصير تربيعهم بتحصل عليه على الأصل
+
+640
+01:01:27,770 --> 01:01:31,790
+صفر صفر صفر مش هتغير فيه ولا حاجة وبالتالي الـ
+
+641
+01:01:31,790 --> 01:01:37,810
+range تبعي أنا أو أخذ الـ target تبعي كل الـ R كل
+
+642
+01:01:37,810 --> 01:01:39,990
+الـ R طيب المعادلة الأخيرة
+
+643
+01:01:44,400 --> 01:01:53,220
+F of X على X ناقص واحد إيه يا شباب؟ الـ R ناقص واحد
+
+644
+01:01:53,220 --> 01:01:58,680
+عشان
+
+645
+01:01:58,680 --> 01:02:04,820
+لو كانت قيمتها واحد بتصير القيمة واحد على صفر
+
+646
+01:02:04,820 --> 01:02:12,540
+مظبوط؟ معناته أنا بقول له الـ R ناقص الواحد طيب
+
+647
+01:02:13,760 --> 01:02:20,040
+الـ Target إيش القيمة اللي بتطلع عندي؟ الـ R أكيد؟ الـ R
+
+648
+01:02:20,040 --> 01:02:25,900
+Star بدون الصفر زميلنا
+
+649
+01:02:25,900 --> 01:02:29,860
+بيقول الـ R Star بدون الصفر مين بأيده يا شباب؟ هاي فيك
+
+650
+01:02:29,860 --> 01:02:32,620
+عنده .. إيش اسمك أنت في الأول؟ أنا علي علي و هاي
+
+651
+01:02:32,620 --> 01:02:38,200
+كامل بأيده من وراء إيه يا شباب؟ هل ممكن المعادلة
+
+652
+01:02:38,200 --> 01:02:44,310
+تسوي صفر؟ طب لو قلتوا تساوي صفر عشان أقول لك ليش هم
+
+653
+01:02:44,310 --> 01:02:50,190
+بيقولوا كلامهم صح اضرب
+
+654
+01:02:50,190 --> 01:02:55,870
+ضرب تبادلي إيه صار الصفر يساوي واحد صارت القيمة غير
+
+655
+01:02:55,870 --> 01:03:01,310
+معرفة كمان مرة احنا الآن بنقول الشباب بيقولوا الـ R
+
+656
+01:03:01,310 --> 01:03:07,210
+star القرن الـ R بدون الصفر كلامهم صح ولا لأ؟ ليش
+
+657
+01:03:07,210 --> 01:03:12,910
+الصفر لأ تعال حط الصفر هنا صفر بتساوي واحد على ..
+
+658
+01:03:12,910 --> 01:03:16,570
+بدي أشوف قيمة الـ X اللي بتوديني للصفر
+
+659
+01:03:22,270 --> 01:03:26,150
+حرام عليك يا زلمة الآن هذه صفر صفر تساوي صفر على
+
+660
+01:03:26,150 --> 01:03:30,950
+واحد لو بدك تعمل ضرب تبادلي هتصير عندك صفر في X
+
+661
+01:03:30,950 --> 01:03:36,230
+ناقص واحد تساوي واحد صفر تساوي واحد مستحيل
+
+662
+01:03:36,230 --> 01:03:41,610
+وبالتالي الصفر مش ضمن الأعداد اللي موجودة أن ها و
+
+663
+01:03:41,610 --> 01:03:45,610
+الـ range كل الـ R ناقص الصفر نعم عيدي الثالثة هذه
+
+664
+01:03:45,610 --> 01:03:47,870
+إيش عيد فيها الآن
+
+665
+01:03:50,130 --> 01:03:55,750
+الزميل اللي بيسأل إيه الـ domain لهذه الـ domain هي
+
+666
+01:03:55,750 --> 01:03:59,570
+عبارة عن المجموعة اللي أنا لو أخذت أي element منها
+
+667
+01:03:59,570 --> 01:04:04,490
+يا أمجد تمام؟ لو أخذت أي element منها تبقى
+
+668
+01:04:04,490 --> 01:04:11,190
+المعادلة معرفة صحيحة الآن في الأول الشباب جاؤوا
+
+669
+01:04:11,190 --> 01:04:15,650
+يقولوا غلط ليش؟ لأن السالب تحت الجذر قيمة غير
+
+670
+01:04:15,650 --> 01:04:20,750
+معرفة أو قيمة تخيّلية سنأخذها لاحقاً وبناء عليه أنا
+
+671
+01:04:20,750 --> 01:04:27,170
+بدي أخذ قيم موجبة فجاؤوا الـ star بيقولوا okay
+
+672
+01:04:27,170 --> 01:04:30,710
+بينفع تكون الـ domain هذه بس أنت قيدت الـ domain
+
+673
+01:04:30,710 --> 01:04:36,190
+بالأعداد الطبيعية طب بينفع أقول جذر الواحد ونص
+
+674
+01:04:36,190 --> 01:04:41,710
+بينفع بينفع وبالتالي أنا ليش أروح أستخدم الـ star و
+
+675
+01:04:41,710 --> 01:04:45,770
+أضيع الكثرة كلها أنا بدي بس قيم موجبة يعني بدي X
+
+676
+01:04:46,550 --> 01:04:50,910
+أكبر أو تساوي صفر وفي نفس الوجهة الـ X تنتمي إلى الـ
+
+677
+01:04:50,910 --> 01:04:55,710
+R عشان يكره احنا كتبناها على شكل الفترة اللي
+
+678
+01:04:55,710 --> 01:05:02,650
+موجودة عندها نعم راكع نعم
+
+679
+01:05:02,650 --> 01:05:06,790
+هذه
+
+680
+01:05:06,790 --> 01:05:11,330
+اه ماشي حاجة واحد
+
+681
+01:05:13,070 --> 01:05:16,890
+على خلّيني أكتب لك إياها فوق عشان الكل يشوفها كاملة
+
+682
+01:05:16,890 --> 01:05:19,150
+الشباب هم بيقولوا القيمة هذه مستحيل تكون أكبر من
+
+683
+01:05:19,150 --> 01:05:25,910
+واحد بيقولوا كلامك صحيح خذ الـ X افف ربع تساوي
+
+684
+01:05:25,910 --> 01:05:32,470
+واحد على واحد ناقص ربع تمام
+
+685
+01:05:32,470 --> 01:05:39,090
+ناقص واحد إيش بتساوي هذه تساوي واحد على سالب ثلاثة
+
+686
+01:05:39,090 --> 01:05:39,710
+على أربعة
+
+687
+01:05:45,690 --> 01:05:49,170
+صارت أكبر من الواحد طبعاً خذ .. خذ .. خذ ثالث بقى
+
+688
+01:05:49,170 --> 01:05:55,550
+الانسداق .. الانتاجاز ده كان ماشي الحل استخدم خمسة
+
+689
+01:05:55,550 --> 01:06:06,590
+.. خمسة على أربعة يدوش قيمة هذه هتطلع؟ بيبقى
+
+690
+01:06:06,590 --> 01:06:11,190
+تصير أربعة على واحد وبالتالي تبقى انتبه للكسر
+
+691
+01:06:11,190 --> 01:06:14,130
+اللي موجود هناك عشان هيك تقول احنا كل الـ ..
+
+692
+01:06:35,550 --> 01:06:40,440
+يعني دكتور إيش الفرق بين الـ domain و الـ target؟ الـ
+
+693
+01:06:40,440 --> 01:06:43,820
+domain و الـ target الفرق كبير أنت قصدك تقول ليش الـ
+
+694
+01:06:43,820 --> 01:06:49,820
+target و الـ range كمان مرة الـ domain هي المجموعة
+
+695
+01:06:49,820 --> 01:06:56,820
+اللي أنا بأخذ منها عناصر X الـ target هي عبارة عن
+
+696
+01:06:56,820 --> 01:07:00,540
+المجموعة اللي بتمثل قيم Y أو المجموعة الكبيرة
+
+697
+01:07:00,540 --> 01:07:05,120
+اللي بتطلع فيها قيم Y الـ range هي المجموعة التي
+
+698
+01:07:05,120 --> 01:07:10,450
+تمثل عناصر Y بشكل دقيق مجموعة أصغر من أو مجموعة
+
+699
+01:07:10,450 --> 01:07:16,890
+جزئية من الـ target الـ 
+
+700
+01:07:16,890 --> 01:07:28,030
+domain هي قيم X قيم X بس المعادلة تبقى معرفة تبقى 
+
+701
+01:07:28,030 --> 01:07:33,750
+شرط أساسي أن الدولة هذه صحيحة ما فيها مشاكل الآن في
+
+702
+01:07:33,750 --> 01:07:37,530
+عندي من الدوال بقول ال odd function و even 
+
+703
+01:07:37,530 --> 01:07:44,960
+function بقول عن الدالة odd function لو كانت F of 
+
+704
+01:07:44,960 --> 01:07:52,300
+سالب X تساوي سالب F of X بقول عن الدالة odd لو كان
+
+705
+01:07:52,300 --> 01:08:03,800
+عندي F of ناقص X تساوي سالب X مثل ال sign الإشارة
+
+706
+01:08:03,800 --> 01:08:07,180
+sign سالب Alpha يساوي
+
+707
+01:08:12,670 --> 01:08:20,090
+الزاوية الجدية الشباب على فرض Alpha تمام؟
+
+708
+01:08:20,090 --> 01:08:27,070
+لأولى تاكل قيمته X Sign Alpha تساوي X طب ماهي
+
+709
+01:08:27,070 --> 01:08:33,330
+الزاوية الجدية الشباب؟ هيها معكوسة اللي هي بعد
+
+710
+01:08:33,330 --> 01:08:42,370
+الـ 180 في الرُبع الثالث مظبوط؟ سالب ألفة الآن طب 
+
+711
+01:08:42,370 --> 01:08:55,370
+إيش sign سالب ألفة يساوي؟ يساوي سالب sign الألفة
+
+712
+01:08:55,370 --> 01:08:59,590
+بس وهيك احنا بنقول عن الدالة هذه odd function
+
+713
+01:08:59,590 --> 01:09:01,190
+الآن
+
+714
+01:09:11,710 --> 01:09:26,470
+مثال f of x تساوي ax  إيش
+
+715
+01:09:31,500 --> 01:09:38,900
+تساوي A في سالب X، مظبوط؟ وهذه تساوي سالب AX، اللي
+
+716
+01:09:38,900 --> 01:09:45,080
+هي بتساوي F of X وطبعا كل ما يكون الأس فردي للـ X
+
+717
+01:09:45,080 --> 01:09:54,360
+تبقى الدالة Odd هذه المعادلة
+
+718
+01:09:54,360 --> 01:09:58,380
+هذه المعادلة الكورية هي تعريفها لو أنا أخدت قيمة 
+
+719
+01:09:58,380 --> 01:10:09,520
+سالبة من X مثل F of سالب اثنين إيش تساوي A في سالب
+
+720
+01:10:09,520 --> 01:10:16,580
+اثنين وهد يساوي سالب اثنين A أو A في اثنين سالب A
+
+721
+01:10:16,580 --> 01:10:25,220
+في اثنين مظبوط بالكلام وهد يساوي سالب F of اثنين
+
+722
+01:10:25,220 --> 01:10:30,120
+مظبوط صحيح شغلت على الرموز من أول مرة
+
+723
+01:10:32,130 --> 01:10:38,090
+بس ما حطيتش السالب في الآخر مظبوط كلامك الآن ال even
+
+724
+01:10:38,090 --> 01:10:46,590
+function أنه سالب f of x تساوي عفواً f of سالب x 
+
+725
+01:10:46,590 --> 01:10:52,350
+تساوي f of x مثل مين ال cosine مثل ال cosine و
+
+726
+01:10:52,350 --> 01:10:59,470
+كذلك ال ax تربيع odd أو عفواً even function لو أنا
+
+727
+01:10:59,470 --> 01:11:01,610
+اتكلمت على ال x تربيع بالشكل هذا
+
+728
+01:11:04,820 --> 01:11:09,480
+وأخذت سلب X هتتربع
+
+729
+01:11:09,480 --> 01:11:17,000
+ومع التربيع هتروح الإشارة وهتتساوى الدالة هذه
+
+730
+01:11:17,000 --> 01:11:22,060
+لسالب X مع ال F of X كذلك لو أنا أخدت عند المثال
+
+731
+01:11:22,060 --> 01:11:26,820
+السالب 2 و
+
+732
+01:11:26,820 --> 01:11:37,620
+سالب 2 تربيع A في 4 وهي بدأت تساوي A of 2 تربيع
+
+733
+01:11:37,620 --> 01:11:46,580
+واللي بدأت تساوي F of 2 الدالة اللي أنا فعلياً F of
+
+734
+01:11:46,580 --> 01:11:53,480
+سالب X تساوي F of X بنقول عنها even function مثل
+
+735
+01:11:53,480 --> 01:12:00,380
+ال cosine نعم هان لأ هذه الدالة فيها coefficient
+
+736
+01:12:00,380 --> 01:12:04,890
+معامل X قيمة إيه؟ بس هي الزاوية هان أنا ضربت المثال
+
+737
+01:12:04,890 --> 01:12:07,290
+.. المثال جاي بالكتر .. في الكتاب جاي بالأمثلة ال
+
+738
+01:12:07,290 --> 01:12:10,590
+sign و ال cosine بناء عليه بس أنا بقول مش بس دول
+
+739
+01:12:10,590 --> 01:12:16,530
+الدوال لأ في دوال ثانية كل دالة بالشكل هذا والأس
+
+740
+01:12:16,530 --> 01:12:23,280
+تبعها عدد زوجي تمام؟ هي عبارة عن even والمعادلة
+
+741
+01:12:23,280 --> 01:12:28,180
+السابقة كل دالة بالشكل هذا والأس تبعها عدد فردي
+
+742
+01:12:28,180 --> 01:12:33,020
+عبارة عن odd ليش؟ لأن السالب أس العدد الفردي يبقى
+
+743
+01:12:33,020 --> 01:12:44,700
+سالب كما هو بس
+
+744
+01:12:44,700 --> 01:12:47,880
+خذ مع المطبع وأنا بعد slide لأن الكتاب ما ادانيش ال
+
+745
+01:12:47,880 --> 01:12:51,970
+slide عدوا ال slide هالكوا يا شباب هذه is even أنا 
+
+746
+01:12:51,970 --> 01:12:59,670
+بتكلم عن ال even function وهذا خطأ مطبعي مني أنا
+
+747
+01:12:59,670 --> 01:13:07,670
+لازم
+
+748
+01:13:07,670 --> 01:13:17,630
+اتمم الحفظ آخر شغل عندنا لما يكون عندي خلاص حفظ
+
+749
+01:13:17,630 --> 01:13:18,670
+تمام
+
+750
+01:13:25,550 --> 01:13:33,290
+لما تكون عندي f of x تساوي x of n بنسميها 
+
+751
+01:13:33,290 --> 01:13:38,110
+power function of degree n مثل 
+
+752
+01:13:38,110 --> 01:13:41,550
+زي ما شوفت ال quadratic equation كان أعلى أس
+
+753
+01:13:41,550 --> 01:13:46,810
+جدّيش عندي لل x اثنين quad مظبوط كله degree two
+
+754
+01:13:46,810 --> 01:13:52,090
+وبالتالي لما تكون ال odd ال n عبارة عن odd natural
+
+755
+01:13:52,090 --> 01:13:55,810
+number بتكون ال function كلها equal natural number
+
+756
+01:13:55,810 --> 01:14:07,470
+الـ N عبارة عن الـ natural number الـ DELLA هي الـ
+
+757
+01:14:07,470 --> 01:14:11,570
+DELLA هذه بنسميها احنا power function of degree N
+
+758
+01:14:11,570 --> 01:14:18,350
+من الرتب N DELLA من الرتب N لما تكون ال M odd
+
+759
+01:14:18,350 --> 01:14:20,650
+بتكون ال function كلها
+
+760
+01:14:35,800 --> 01:14:44,510
+خلص الشابتر ارجع للكتاب صفحة 47 في عندك بعض الأمثلة
+
+761
+01:14:44,510 --> 01:14:49,090
+المحلولة عن ال chapter بعض الأمثلة المحلولة نصيحتي
+
+762
+01:14:49,090 --> 01:14:54,470
+إليك ما تقرأهاش قراءة خذ للسؤال حله وبعدين قارن 
+
+763
+01:14:54,470 --> 01:14:58,550
+حالك بالحل اللي موجود في الكتاب الله يعطيكم
+
+764
+01:14:58,550 --> 01:14:59,090
+العافية شباب 
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/HwKmu3entXU_raw.json b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/HwKmu3entXU_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..092c4cf6ebc8e0983e7a7530245c55d2deba14ae
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/HwKmu3entXU_raw.json
@@ -0,0 +1 @@
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قولنا هال تساوي اللي هي الصورة هذه تلاتة تمام اما من ال indices في عند الواهرة ايه الشباب ال logarithm ال logarithm هي عبارة عن دالة خاصة", "tokens": [27842, 16712, 2304, 7649, 10632, 1975, 5016, 8315, 37893, 12174, 12610, 8315, 8032, 6027, 6055, 3794, 995, 45865, 13672, 1829, 39896, 31767, 13063, 3660, 29538, 6055, 1211, 9307, 3660, 46811, 10943, 1975, 15042, 9154, 2423, 43840, 8978, 43242, 2423, 14407, 3224, 25720, 1975, 1829, 3224, 25124, 3555, 16758, 2423, 41473, 32674, 2423, 41473, 32674, 39896, 6225, 3555, 9640, 3660, 18871, 11778, 6027, 3660, 16490, 33546, 3660], "avg_logprob": -0.2978078233661936, "compression_ratio": 1.608695652173913, "no_speech_prob": 0.0, "words": [{"start": 1002.14, "end": 1002.34, "word": "من", "probability": 0.39013671875}, {"start": 1002.34, "end": 1002.88, "word": " التمانية", "probability": 0.752197265625}, {"start": 1002.88, "end": 1003.6, "word": " احنا", "probability": 0.7716471354166666}, {"start": 1003.6, "end": 1003.7, "word": " مش", 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"word": " أُس", "probability": 0.716552734375}, {"start": 1039.25, "end": 1039.63, "word": " X", "probability": 0.9619140625}, {"start": 1039.63, "end": 1041.51, "word": " A", "probability": 0.60400390625}, {"start": 1041.51, "end": 1042.77, "word": " أُس", "probability": 0.958984375}, {"start": 1042.77, "end": 1043.07, "word": " X", "probability": 0.99462890625}, {"start": 1043.07, "end": 1043.67, "word": " تساوي", "probability": 0.923828125}, {"start": 1043.67, "end": 1043.91, "word": " N", "probability": 0.89013671875}, {"start": 1043.91, "end": 1046.01, "word": " معناته", "probability": 0.9319661458333334}, {"start": 1046.01, "end": 1047.17, "word": " logarithm", "probability": 0.782470703125}, {"start": 1047.17, "end": 1047.91, "word": " ال", "probability": 0.66064453125}, {"start": 1047.91, "end": 1048.25, "word": " N", "probability": 0.52978515625}, {"start": 1048.25, "end": 1050.09, "word": " للأساس", "probability": 0.9273681640625}, {"start": 1050.09, "end": 1050.43, "word": " 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الحل للكلام اللي بنقوله logarithm ال N للأساس N يساوي واحد ايوة و في اندي هنشوف القانون التالي كمان شوية logarithm", "tokens": [1211, 2407, 1975, 8315, 1975, 31371, 2655, 12174, 12610, 2655, 41473, 32674, 9673, 10632, 24976, 10721, 3794, 32277, 6225, 8592, 25720, 3714, 3555, 33599, 25720, 6055, 3794, 995, 45865, 1975, 2655, 1863, 9957, 8978, 16472, 16254, 12174, 7649, 11536, 3714, 16095, 10874, 28259, 8978, 11296, 23758, 4032, 31439, 3714, 5172, 2655, 39319, 21542, 1211, 24976, 28820, 10943, 13672, 1829, 44945, 39648, 3224, 41473, 32674, 2423, 426, 24976, 10721, 3794, 32277, 426, 7251, 3794, 995, 45865, 36764, 24401, 1975, 1829, 2407, 3660, 4032, 8978, 16472, 16254, 8032, 1863, 8592, 38688, 25062, 7649, 11536, 16712, 6027, 1829, 9122, 2304, 7649, 13412, 2407, 10632, 41473, 32674], "avg_logprob": -0.20222355110140947, "compression_ratio": 1.8407960199004976, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1062.28, "end": 1062.58, "word": "لو", "probability": 0.884765625}, 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"probability": 0.8855794270833334}, {"start": 1078.08, "end": 1080.04, "word": " logarithm", "probability": 0.94921875}, {"start": 1080.04, "end": 1080.74, "word": " ال", "probability": 0.89794921875}, {"start": 1080.74, "end": 1081.04, "word": " N", "probability": 0.349853515625}, {"start": 1081.04, "end": 1082.08, "word": " للأساس", "probability": 0.947998046875}, {"start": 1082.08, "end": 1082.46, "word": " N", "probability": 0.79345703125}, {"start": 1082.46, "end": 1084.14, "word": " يساوي", "probability": 0.9534912109375}, {"start": 1084.14, "end": 1084.68, "word": " واحد", "probability": 0.965576171875}, {"start": 1084.68, "end": 1086.76, "word": " ايوة", "probability": 0.72344970703125}, {"start": 1086.76, "end": 1087.1, "word": " و", "probability": 0.86962890625}, {"start": 1087.1, "end": 1087.24, "word": " في", "probability": 0.7490234375}, {"start": 1087.24, "end": 1087.46, "word": " اندي", "probability": 0.96240234375}, {"start": 1087.46, "end": 1087.76, "word": " هنشوف", 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العشرين في خمسين او هي بين جثين logarithm العشرة في عشرة في عشرة، مظبوط؟", "tokens": [3615, 8592, 25720, 8978, 6225, 8592, 25720, 8978, 6225, 8592, 25720, 1975, 2407, 3714, 43020, 1975, 39648, 6225, 46309, 9957, 8978, 16490, 2304, 3794, 9957, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 3714, 19913, 3555, 2407, 9566, 2423, 28820, 10943, 22807, 23032, 1829, 3555, 12399, 6024, 48506, 45164, 1975, 8315, 25961, 8978, 18871, 16254, 41473, 32674, 16247, 46538, 37893, 39896, 8717, 36178, 11296, 12399, 11778, 3224, 9673, 5172, 32887, 11242, 6055, 3794, 995, 45865, 41473, 32674, 18863, 46309, 9957, 8978, 16490, 2304, 3794, 9957, 1975, 2407, 39896, 49374, 10874, 12984, 9957, 41473, 32674, 18863, 8592, 25720, 8978, 6225, 8592, 25720, 8978, 6225, 8592, 25720, 12399, 3714, 19913, 3555, 2407, 9566, 22807], "avg_logprob": -0.1346261225906866, "compression_ratio": 2.109289617486339, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 1145.79, "end": 1146.27, "word": "عشرة", "probability": 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جامع تمام في end special logarithm للأساس E", "tokens": [1211, 1211, 10721, 3794, 32277, 426, 7251, 3794, 995, 45865, 36764, 24401, 4032, 3615, 18513, 3660, 5296, 15042, 1975, 8315, 39894, 4117, 19528, 41473, 32674, 4032, 4724, 32277, 4117, 2655, 9673, 3615, 1863, 7578, 16472, 3224, 39894, 2655, 4117, 19528, 15844, 16247, 3794, 32277, 6225, 8592, 25720, 23032, 3555, 25062, 32640, 3660, 18871, 16254, 6225, 8592, 25720, 4032, 1975, 9381, 5016, 7578, 12174, 32640, 2655, 11296, 36764, 24401, 3714, 9381, 3555, 2407, 9566, 4032, 41473, 32674, 16247, 46538, 6055, 3794, 995, 45865, 41473, 32674, 18863, 8592, 25720, 8978, 6225, 8592, 25720, 8978, 6225, 8592, 25720, 11331, 35457, 25062, 7649, 11536, 1975, 8315, 4724, 28543, 2288, 1975, 5172, 36520, 18863, 42213, 10632, 1975, 9778, 20292, 11296, 10874, 10943, 3615, 46811, 10943, 8978, 917, 2121, 41473, 32674, 24976, 10721, 3794, 32277, 462], "avg_logprob": -0.22519084105964834, "compression_ratio": 1.9406779661016949, "no_speech_prob": 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area المساحة يتم تحديدها تبعا لنصف القطر و ال R هي ال independent تمام اللي بيقول عنها المتغير المستقل ممتاز", "tokens": [2322, 497, 6055, 2288, 21292, 3615, 3714, 9957, 2423, 12334, 7006, 2423, 1859, 9673, 3794, 39319, 3660, 7251, 39237, 6055, 5016, 16254, 3215, 11296, 6055, 3555, 3615, 995, 5296, 1863, 9381, 5172, 25062, 9566, 2288, 4032, 2423, 497, 39896, 2423, 6695, 46811, 10943, 13672, 1829, 4724, 1829, 39648, 18871, 11296, 9673, 2655, 17082, 13546, 9673, 14851, 4587, 1211, 3714, 2304, 2655, 31377], "avg_logprob": -0.245411710606681, "compression_ratio": 1.4746835443037976, "no_speech_prob": 1.9669532775878906e-06, "words": [{"start": 1658.95, "end": 1659.61, "word": "by", "probability": 0.390625}, {"start": 1659.61, "end": 1660.13, "word": " R", "probability": 0.422119140625}, {"start": 1660.13, "end": 1661.09, "word": " تربيع", "probability": 0.8758544921875}, {"start": 1661.09, "end": 1666.89, "word": " مين", "probability": 0.5045166015625}, {"start": 1666.89, "end": 1666.97, 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436935, "start": 4342.64, "end": 4369.36, "text": "والمعادلة السابقة كل دالة بالشكل هذا والقص تبعها عدد فردي عبارة عن odd ليش؟ لأن السالب قص العدد الفردي يبقى سالب كما هو بس خد مع المطبع وانا بعد slide لأن الكتاب مادانيش ال slide عدوا ال slide هالكوا يا شباب", "tokens": [2407, 45340, 3615, 18513, 37977, 21136, 16758, 28671, 28242, 11778, 6027, 3660, 20666, 8592, 28820, 23758, 16070, 4587, 9381, 6055, 3555, 3615, 11296, 6225, 3215, 3215, 6156, 2288, 16254, 6225, 3555, 9640, 3660, 18871, 7401, 32239, 8592, 22807, 5296, 33456, 21136, 6027, 3555, 12174, 9381, 18863, 3215, 3215, 27188, 2288, 16254, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 9122, 15042, 31439, 4724, 3794, 16490, 3215, 20449, 9673, 9566, 3555, 3615, 4032, 7649, 995, 4724, 22488, 4137, 5296, 33456, 33251, 2655, 16758, 19446, 3215, 7649, 1829, 8592, 2423, 4137, 6225, 3215, 14407, 2423, 4137, 8032, 6027, 4117, 14407, 35186, 13412, 3555, 16758], "avg_logprob": -0.23039216197588863, "compression_ratio": 1.8256410256410256, 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/LafID9IIfQA.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/LafID9IIfQA.srt
new file mode 100644
index 0000000000000000000000000000000000000000..84f982eece32f106ab230b2500d61b9dad23569d
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/LafID9IIfQA.srt
@@ -0,0 +1,2587 @@
+1
+00:00:20,770 --> 00:00:24,230
+طيب شوف.. بسم الله والحمد لله والصلاة والسلام على
+
+2
+00:00:24,230 --> 00:00:28,790
+رسول الله أهلا وسهلا بكم يا شباب واليوم إن شاء
+
+3
+00:00:28,790 --> 00:00:32,510
+الله تعالى هنكمل في موضوع الـ product أو الـ vector
+
+4
+00:00:32,510 --> 00:00:36,950
+product وكنا بدنا في المحاضرة الماضية نتكلم على الـ
+
+5
+00:00:36,950 --> 00:00:39,950
+vector product بشكل عام وعلى الـ scalar product
+
+6
+00:00:39,950 --> 00:00:43,990
+بشكل خاص وكانت ملخص محاضرتنا الأخيرة أنه أنا
+
+7
+00:00:43,990 --> 00:00:46,750
+فعليًا لما أتكلم على scalar product لـ two vectors
+
+8
+00:00:46,750 --> 00:00:49,650
+يعني لما أنا أبدأ آخذ two vectors وأضربهم مع بعض
+
+9
+00:00:49,650 --> 00:00:54,790
+الناتج بيكون scalar value مش هيكون عندي vector و
+
+10
+00:00:54,790 --> 00:00:58,170
+لما بيقول R ضغط الـ S وممكن تسميه احنا ضغط الـ
+
+11
+00:00:58,170 --> 00:01:03,030
+product يساوي الـ magnitude تبع الـ R في الـ
+
+12
+00:01:03,030 --> 00:01:07,330
+magnitude تبع الـ S في كوزاين الزاوية اللي بينهم
+
+13
+00:01:07,330 --> 00:01:12,830
+فاتفقنا بشكل بسيط أن لو كان أنا في عندي two
+
+14
+00:01:12,830 --> 00:01:18,730
+vectors على الـ plane هي الـ R وهي الـ S دي هي في الـ
+
+15
+00:01:18,730 --> 00:01:22,940
+position هذا وين الزاوية اللي بينهم؟ وين الزاوية
+
+16
+00:01:22,940 --> 00:01:26,220
+اللي بينهم؟ بقولنا بدك تجمع الـ two tails أو الـ two
+
+17
+00:01:26,220 --> 00:01:28,220
+vectors مع بعضهم، تمام؟
+
+18
+00:01:33,060 --> 00:01:37,120
+ونقل vector من مكانه بنفس الاتجاه مش هيغير عندي
+
+19
+00:01:37,120 --> 00:01:41,360
+ولا حاجة وبالتالي أنا صرت بتكلم عن الزاوية ثيتا
+
+20
+00:01:41,360 --> 00:01:46,300
+اللي موجودة بين الـ two vectors وشوفنا مع بعض أن
+
+21
+00:01:46,300 --> 00:01:51,240
+كيف ممكن أنا أمثل أي vector as cartesian vectors
+
+22
+00:01:51,240 --> 00:01:56,000
+بقول لك الـ cartesian vector أنا فيه عندي الـ I بيبقى
+
+23
+00:01:56,000 --> 00:01:59,980
+تساوي 1,0,0 
+
+24
+00:02:03,780 --> 00:02:13,720
+1,0,0 الـ J تساوي 0,1,0 والـ K تساوي 0,0,1 وكل
+
+25
+00:02:13,720 --> 00:02:17,460
+هذه الـ vectors أنا باستخدمها عشان أعوض عن أي
+
+26
+00:02:17,460 --> 00:02:25,600
+vector موجود على فرض أن الـ R تساوي A,B,C as a
+
+27
+00:02:25,600 --> 00:02:28,980
+vector و
+
+28
+00:02:28,980 --> 00:02:34,020
+هذه المكونات بقدر أمثلّها as Cartesian vectors C في
+
+29
+00:02:34,020 --> 00:02:45,020
+I أو عفواً A في I زائد B في J زائد C في K C في K و
+
+30
+00:02:45,020 --> 00:02:47,620
+لما أنا بتكلم على الـ Cartesian product أو عفواً
+
+31
+00:02:47,620 --> 00:02:51,200
+بتكلم على الـ cross product إيه ما الـ cross معلّق
+
+32
+00:02:51,200 --> 00:02:55,080
+اليوم الـ dot product في الـ vectors معناته أنا بدي
+
+33
+00:02:55,080 --> 00:02:59,320
+أتكلم على أجيب الـ scalar product
+
+34
+00:03:01,200 --> 00:03:04,200
+وصلنا لو كان عندي أنا فيه الـ two vectors هدول R و
+
+35
+00:03:04,200 --> 00:03:08,860
+S مثلّتهم as Cartesian vectors أو summation of
+
+36
+00:03:08,860 --> 00:03:14,400
+Cartesian vectors معناته أنا بقدر أقول أنّه الـ
+
+37
+00:03:14,400 --> 00:03:20,260
+magnitude لـ R في magnitude لـ S في كوزاين الزاوية
+
+38
+00:03:20,260 --> 00:03:29,860
+اللي بينهم يساوي A في D زائد B في E زائد C في F
+
+39
+00:03:29,860 --> 00:03:33,280
+وهذه أثبتناها المرة الماضية وغير إثباتها كانت
+
+40
+00:03:33,280 --> 00:03:39,260
+موجودة علينا لأن بكل بساطة الآن لما I ضربت الـ I
+
+41
+00:03:39,260 --> 00:03:43,360
+الزاوية اللي بين الـ two vectors هدول صفر كوزاين
+
+42
+00:03:43,360 --> 00:03:49,720
+الصفر بواحد والـ I عبارة عن الـ magnitude تبعتها one
+
+43
+00:03:49,720 --> 00:03:55,700
+وبالتالي واحد في كوزاين الصفر بينما لما تكون I في K
+
+44
+00:03:55,700 --> 00:04:03,420
+أو I في J زاوية 90 درجة أو كوزاين 90 صفر كوزاين 90
+
+45
+00:04:03,420 --> 00:04:08,300
+صفر وبالتالي بيروح الـ term بالكامل وانتقلنا أو
+
+46
+00:04:08,300 --> 00:04:13,440
+قلنا بأننا نشوف التقنيات بعد هيك على الـ vectors
+
+47
+00:04:13,440 --> 00:04:17,160
+أو على الـ scalar product واخذنا المثال الأول بقول
+
+48
+00:04:17,160 --> 00:04:23,560
+هنا في الـ two vectors R و S R و S تحسب للزاوية اللي
+
+49
+00:04:23,560 --> 00:04:27,120
+موجودة بين الـ two vectors طبعاً كمان مرة على الرسم
+
+50
+00:04:27,120 --> 00:04:30,160
+أنا هذول يا ريت إنهم مش متقاطعات لكن بقدر أجمع الـ
+
+51
+00:04:30,160 --> 00:04:32,300
+tails تبعاتهم مع بعض غير بالنظر عن النقطة اللي
+
+52
+00:04:32,300 --> 00:04:37,380
+موجودة طيب الآن أنا صرت عند مقاطعة حسب المقاطعات
+
+53
+00:04:37,380 --> 00:04:41,100
+اللي عندها أنا بقدر أجيب الـ magnitude تبع الـ R
+
+54
+00:04:41,100 --> 00:04:45,560
+وأحسب الـ magnitude تبع الـ S بناء على الـ values الـ
+
+55
+00:04:45,560 --> 00:04:51,340
+magnitude تبع الـ R تساوي الجذر التربيعي لـ 4 زائد 0
+
+56
+00:04:51,340 --> 00:05:01,750
+زائد 16 جذر الـ 20 والمجموعات آسف 25 زائد 36 زائد
+
+57
+00:05:01,750 --> 00:05:09,230
+100 مية واحد وستين جذر المية واحد وستين بالظبط
+
+58
+00:05:09,230 --> 00:05:13,050
+الزاوية اللي بينهم مجهولة هو بيقول هات الزاوية
+
+59
+00:05:13,050 --> 00:05:17,370
+فبقى أنا في المقابل عندي إيه دي معلومة اثنين في
+
+60
+00:05:17,370 --> 00:05:26,960
+خمسة عشر زائد صفر في ستة زائد أربعة في عشرة أربعين
+
+61
+00:05:26,960 --> 00:05:33,600
+يعني الآن بيكون في عندي جذر العشرين مضروب في جذر
+
+62
+00:05:33,600 --> 00:05:39,120
+المية وواحد وستين في كوزاين الثيتا يساوي خمسين
+
+63
+00:05:39,120 --> 00:05:42,500
+كوزاين 
+
+64
+00:05:42,500 --> 00:05:49,520
+ثيتا يساوي خمسين على جذر العشرين في جذر المية و
+
+65
+00:05:49,520 --> 00:06:01,820
+واحد وستين ثيتا تساوي كوزاين إنفرس تساوي
+
+66
+00:06:01,820 --> 00:06:06,980
+تقريباً ثمانية وعشرين درجة فاصلة اثنين من عشرة
+
+67
+00:06:08,110 --> 00:06:11,870
+وهيك الحسبة بتصير سهلة لأن لو صار في عندي الآن
+
+68
+00:06:11,870 --> 00:06:16,310
+كل المعادلة معرفة عندي أو بقدر أجيب قيمها وبقدر
+
+69
+00:06:16,310 --> 00:06:19,490
+أجيب بكل بساطة قيمة الـ theta اللي كانت مجهولة عندي
+
+70
+00:06:19,490 --> 00:06:24,850
+لكن الزاوية بحد ذاتها مش هي الهدف يا شباب الهدف
+
+71
+00:06:24,850 --> 00:06:28,510
+تطبيقات الزاوية أو تطبيقات القانون هنا فيما يتعلق
+
+72
+00:06:28,510 --> 00:06:31,030
+في الكمبيوتر graphics اللي احنا بنتكلم عليها
+
+73
+00:06:31,030 --> 00:06:36,470
+وأبسطها لما أجي أتكلم على شدة الإضاءة تمام على الـ
+
+74
+00:06:36,470 --> 00:06:39,370
+object اللي موجود عندي أو أقول إنّ الـ surface هذا
+
+75
+00:06:39,370 --> 00:06:42,870
+في الـ 3D object بده يبين للكاميرا أو ما بدهوش يبين
+
+76
+00:06:42,870 --> 00:06:46,070
+وخليني أشوف الأمثلة أو المثالين اللي جايين مع بعض
+
+77
+00:06:46,070 --> 00:06:46,630
+الآن
+
+78
+00:06:49,120 --> 00:06:54,780
+المثال اللي بعده بيقول لـ Lambert law الـ intensity
+
+79
+00:06:54,780 --> 00:07:02,080
+تبعت الإضاءة تمام؟ بتقدر تحسبها بناء على الـ
+
+80
+00:07:02,080 --> 00:07:05,580
+surface اللي موجودة تعالى نشوف هذا وسط الطاولة
+
+81
+00:07:05,580 --> 00:07:11,500
+اللي عندي وبيقول للمقطة هذه شدة
+
+82
+00:07:11,500 --> 00:07:16,430
+الإضاءة فيها جداشتمام؟ أو الكثافة فيها جداش الـ
+
+83
+00:07:16,430 --> 00:07:20,190
+intensity لما بتكلم.. بتكلم على كثافة شدة الإضاءة
+
+84
+00:07:20,190 --> 00:07:27,750
+لما بدي يا شباب بقول point 9 شو يعني؟ أعلى شدة
+
+85
+00:07:27,750 --> 00:07:32,410
+الإضاءة جداش يا شباب واحد معناته شدة الإضاءة في
+
+86
+00:07:32,410 --> 00:07:36,470
+المقطعة هذه تساوي الـ source تبع مصدر الإضاءة طيب و
+
+87
+00:07:36,470 --> 00:07:40,430
+بعد هيك الدب بتصغر كل الإضاءة بتصغر بالنسبة لها لأنّ
+
+88
+00:07:40,430 --> 00:07:43,660
+هي عبارة عن إيش وفي الآخر لو أنا أجري أقول point
+
+89
+00:07:43,660 --> 00:07:49,560
+واحد أقل.. أقل.. أقل.. أقل.. أقل.. أقل.. أقل
+
+90
+00:07:49,560 --> 00:07:51,980
+.. أقل.. أقل.. أقل.. أقل.. أقل.. أقل.. أقل
+
+91
+00:07:51,980 --> 00:07:54,840
+.. أقل.. أقل.. أقل.. أقل.. أقل.. أقل.. أقل
+
+92
+00:07:54,840 --> 00:07:56,380
+.. أقل.. أقل.. أقل.. أقل.. أقل.. أقل.. أقل
+
+93
+00:07:56,380 --> 00:07:56,680
+.. أقل.. أقل.. أقل.. أقل.. أقل.. أقل.. أقل
+
+94
+00:07:56,680 --> 00:07:57,720
+.. أقل.. أقل.. أقل.. أقل.. أقل.. أقل.. أقل
+
+95
+00:07:57,720 --> 00:08:02,920
+.. أقل.. أقل
+
+96
+00:08:02,920 --> 00:08:09,780
+.. أقل.. أقل
+
+97
+00:08:09,780 --> 00:08:10,220
+..
+
+98
+00:08:15,090 --> 00:08:18,670
+الخطوة الرقم واحد أنك تروح تبني على النقطة اللي
+
+99
+00:08:18,670 --> 00:08:23,890
+أنت اخترتها عمود يعني قائمة بزاوية مع الـ surface
+
+100
+00:08:23,890 --> 00:08:28,990
+اللي أنت بتتكلم عليه بزاوية قائمة معين مع السطح
+
+101
+00:08:28,990 --> 00:08:30,050
+اللي أنت بتتكلم عليه
+
+102
+00:08:33,640 --> 00:08:39,660
+Unit vector لأن في الـ computation بتتغلب كثير Unit
+
+103
+00:08:39,660 --> 00:08:42,900
+vector علق قيمته واحد الـ magnitude تبعتها واحد مظهر ولا
+
+104
+00:08:42,900 --> 00:08:49,220
+لأ طيب الآن عند النقطة هذه بدك ترسم شعاع أو vector
+
+105
+00:08:49,220 --> 00:08:53,440
+بين النقطة ومصدر الضوء هذا الـ vector اللي عندي
+
+106
+00:08:58,180 --> 00:09:02,220
+أن بالمناسبة اختصار لـ norm vector يعني vector
+
+107
+00:09:02,220 --> 00:09:06,360
+عمودي نورم عمودي أو متعامد تمام والـ hat ها دي
+
+108
+00:09:06,360 --> 00:09:11,380
+بتقول أنّه unit الـ magnitude تبعتها واحد طيب الـ
+
+109
+00:09:11,380 --> 00:09:13,900
+vector اللي موجود بين النقطتين لما لا فيه عندها الـ
+
+110
+00:09:13,900 --> 00:09:19,880
+position تبعتها النقطة x و y والـ source كمان مصدر
+
+111
+00:09:19,880 --> 00:09:23,420
+الضوء تبعته x و y المنطق المهم كان التالي يا شباب
+
+112
+00:09:25,450 --> 00:09:30,530
+أن الضوء بيتحرك من مصدر الضوء للطاولة مش العكس ولا
+
+113
+00:09:30,530 --> 00:09:37,710
+شو رأيك؟ صحيح؟ صحيح الكلام بس للأسف بقدرش أنا أروح
+
+114
+00:09:37,710 --> 00:09:43,290
+أجيب المقطعة هذه وأحطها المصدر الضوء اللي هو الـ T
+
+115
+00:09:43,290 --> 00:09:49,870
+صح؟ ما فيش مجال ما فيش مجال فأنا بفصيلة بأفترض إنّه
+
+116
+00:09:49,870 --> 00:09:52,870
+الضوء هذا هو مصدر الضوء في جهة الشواء أو الـ vector
+
+117
+00:09:52,870 --> 00:09:56,380
+تبقى باتجاه مصدر الضوء يعني بالعكس يعني أصبح مصدر
+
+118
+00:09:56,380 --> 00:10:01,200
+الضوء هو الـ head والنقطة الالتقاء اللي هي كسارة
+
+119
+00:10:01,200 --> 00:10:04,600
+الـ tail في الآخر هذا المتجه أو هذا الـ vector أنا
+
+120
+00:10:04,600 --> 00:10:08,760
+اللي قاعد بأفترضه سواء كان نازل من مصدر الضوء أو
+
+121
+00:10:08,760 --> 00:10:14,300
+قالع عليه بزاوية حتضل ثابتة بس المنطق بيقول مستحيل
+
+122
+00:10:14,300 --> 00:10:17,140
+أخليه هنا عشان أحسب إزاي لأن أنا بنتصرف الـ C فوق
+
+123
+00:10:17,140 --> 00:10:21,100
+حسبتها تمام يا شباب؟ عشان ما تتساءلش ليش عملنا
+
+124
+00:10:21,100 --> 00:10:28,050
+الضوء بالشكل المتجه بالعكس بقي تمام الخطوة اللي بعد
+
+125
+00:10:28,050 --> 00:10:40,570
+هيك صارت عند النقطة هذه تمام point x,y,z وهذه x,y
+
+126
+00:10:40,570 --> 00:10:48,270
+,z خمس نسمي هذه 1,1,1 وهذه 2,2,2 أو 1,2 مش قضية
+
+127
+00:10:48,270 --> 00:10:51,950
+كتير قضايا
+
+128
+00:10:51,950 --> 00:10:58,260
+الزاوية هذه الزاوية اللي بين العناصر هذه الآن بتجيب
+
+129
+00:10:58,260 --> 00:11:03,500
+الزاوية كيف؟ أنا عند نقاط أنا عند نقاط ما عنديش
+
+130
+00:11:03,500 --> 00:11:08,340
+vectors أنا كمان مرة استني شوية عليها خبر أنا
+
+131
+00:11:08,340 --> 00:11:12,280
+ما عنديش vectors عند نقاط بقدر أجيب الـ vectors اه
+
+132
+00:11:12,280 --> 00:11:16,140
+بقدر أول حاجة الـ vector اللي أنا افترضته لخبرة ده
+
+133
+00:11:16,140 --> 00:11:23,000
+هو واحد الـ magnitude تبعتها واحد وبالـ vector التالي
+
+134
+00:11:24,350 --> 00:11:29,530
+إن سميتها بـ S أو R، سمّيها S، مش قابلة كثير الـ S
+
+135
+00:11:29,530 --> 00:11:34,930
+as a vector إيش يساوي؟
+
+136
+00:11:34,930 --> 00:11:40,730
+الاختلاف ما بين المقاطع X2 
+
+137
+00:11:40,730 --> 00:11:50,650
+ناقص X1، بصبوط؟ طيب هو احنا بنقول X2 ناقص X1؟ ولا
+
+138
+00:11:50,650 --> 00:11:57,510
+بنقول X head ناقص X tail؟ الأصل الأصل أنا بقول x hat
+
+139
+00:11:57,510 --> 00:12:01,970
+ناقص x tail تحت اللي لما يكون يا شباب القيمة مربعة
+
+140
+00:12:01,970 --> 00:12:03,310
+مربعة مربعة مربعة مربعة مربعة مربعة مربعة مربعة 
+
+141
+00:12:03,310 --> 00:12:03,650
+مربعة مربعة مربعة مربعة مربعة مربعة مربعة مربعة
+
+142
+00:12:03,650 --> 00:12:03,750
+مربعة مربعة مربعة مربعة مربعة مربعة مربعة مربعة
+
+143
+00:12:03,750 --> 00:12:06,230
+مربعة مربعة مربعة مربعة مربعة مربعة مربعة مربعة
+
+144
+00:12:06,230 --> 00:12:07,050
+مربعة مربعة مربعة مربعة مربعة مربعة مربعة مربعة
+
+145
+00:12:07,050 --> 00:12:11,610
+مربعة مربعة مربعة مربعة مربعة مربعة مربعة مربعة
+
+146
+00:12:11,610 --> 00:12:20,330
+مربعة مربعة مربعة مربعة مربعة مربعة مربعة 
+
+147
+00:12:22,480 --> 00:12:26,700
+عادة كمان مرة الـ head ناقص الـ tail اللي بتمثل ال
+
+148
+00:12:26,700 --> 00:12:29,660
+vector  و احنا بنقول لك تاني ماشي نعمل جبنا اتجاه
+
+149
+00:12:29,660 --> 00:12:34,840
+الـ vector عشان آجي أقول إن هذه الـ vector تبعتها x
+
+150
+00:12:34,840 --> 00:12:46,320
+head ناقص x tail y head ناقص y tail z head شوف كيف
+
+151
+00:12:46,320 --> 00:12:50,120
+هي صارت تفرج معايا لإنه ممكن تكون القيمة عندي سالب
+
+152
+00:12:50,120 --> 00:13:00,570
+لو أنا غيرتها هزبد head الـ tail  عفوا احنا كتبنا head x
+
+153
+00:13:00,570 --> 00:13:05,510
+tail زبد tail صار في عندي two vectors بقدر أجيب الـ
+
+154
+00:13:05,510 --> 00:13:11,730
+magnitude الآن الـ magnitude الأصلية تساوي Delta X
+
+155
+00:13:11,730 --> 00:13:20,550
+تربيع هيها زائد Delta Y تربيع زائد Delta Z تربيع
+
+156
+00:13:20,550 --> 00:13:25,960
+يعني صارت عندي كل القيم متوفرة ومش بس هيك الـ
+
+157
+00:13:25,960 --> 00:13:30,940
+norm vector تبعي هذا متعاند و أنا بقدر أروح أُحدد
+
+158
+00:13:30,940 --> 00:13:35,280
+القيم تبعته as a cartesian product وبصير أنا أضرب
+
+159
+00:13:35,280 --> 00:13:39,020
+يعني لما يجي يقولي هالي norm vector تبعك يساوي 0 1
+
+160
+00:13:39,020 --> 00:13:39,880
+0 مثلا
+
+161
+00:13:43,400 --> 00:13:47,240
+لما أصبح أقدر أضرب صفر في القيمة هذه واحد في 
+
+162
+00:13:47,240 --> 00:13:50,500
+القيمة هذه صفر في القيمة هذه مضبوط صار عند كل
+
+163
+00:13:50,500 --> 00:13:53,500
+القيمة الموجودة و بقدر أجيب الزاوية الآن اللي هي
+
+164
+00:13:53,500 --> 00:13:56,820
+علاقة ليش بالـ intensity أو كثافة الضوء تعال نشوف
+
+165
+00:13:56,820 --> 00:14:02,320
+المثال اللي موجود هذا بشكل مباشر بالـ DNA أرقام في
+
+166
+00:14:02,320 --> 00:14:05,860
+المثال يقول إيه؟ احسب الزاوية اللي بيصدر الضوء لو
+
+167
+00:14:05,860 --> 00:14:08,620
+كان الضوء موجود في الـ point عشرين عشرين أربعين
+
+168
+00:14:11,240 --> 00:14:14,060
+والـ Elimination point تبعتي النقطة اللي بدي احسب
+
+169
+00:14:14,060 --> 00:14:19,620
+عليها الـ density تبع الضوء صفر
+
+170
+00:14:19,620 --> 00:14:27,960
+عشرة صفر وحط في بالك إن الـ norm vector طبعًا صفر
+
+171
+00:14:27,960 --> 00:14:32,940
+واحد صفر طبعًا ليش ده؟ جالي norm vector و جالي ما
+
+172
+00:14:32,940 --> 00:14:35,640
+ليش اسمه unit vector ده؟ ليقنته عشان يقول خلاص أنا
+
+173
+00:14:35,640 --> 00:14:41,370
+مريح game لك واحد بالحسبة صارت عندي الـ S تساوي كده
+
+174
+00:14:41,370 --> 00:14:48,490
+اللي هي الـ head ناقص الـ T عشرين ناقص صفر عشرين ناقص
+
+175
+00:14:48,490 --> 00:14:55,890
+عشرة أربعين ناقص صفر الآن حسبناهم و بقدر أروح أجيب
+
+176
+00:14:55,890 --> 00:14:58,810
+الزاوية اللي موجودة عندها
+
+177
+00:15:03,670 --> 00:15:06,890
+كوزاين الزاوية ها بتتكلم عليها هي الـ intensity
+
+178
+00:15:06,890 --> 00:15:15,330
+تبعتها نعم لأ
+
+179
+00:15:15,330 --> 00:15:18,950
+كيف بيتساوي الزاوية مجنتيوت الـ N في مجنتيوت الـ S
+
+180
+00:15:18,950 --> 00:15:22,210
+في كوزاين الزاوية يسكر
+
+181
+00:15:26,290 --> 00:15:29,490
+هنا واحد لأن الـ vector هي الدنيا هنا إن عندك unit
+
+182
+00:15:29,490 --> 00:15:32,950
+vector unit vector عشان يسهل عليك في الحساب لكن ممكن
+
+183
+00:15:32,950 --> 00:15:35,870
+أنا أديك يا vector متعاند يعني لو كان السطح دمائل
+
+184
+00:15:35,870 --> 00:15:41,630
+طبعًا لو كان الـ surface دمائل افترض إن هاي كيس
+
+185
+00:15:41,630 --> 00:15:46,990
+الورق هذا هو في المثال أعمل لكِ يا X وهي الـ norm الـ N
+
+186
+00:15:46,990 --> 00:15:53,370
+الـ N متعاند 100% إذا لو كان الـ surface هيك هيطلع
+
+187
+00:15:53,370 --> 00:16:00,750
+عندك إن مش ضروري يديكِ unit vector ممكن يديكِ 
+
+188
+00:16:00,750 --> 00:16:05,490
+vector ثاني بس في الآخر هتصير تحسب الـ magnitude بس
+
+189
+00:16:05,490 --> 00:16:08,210
+هنا عشان يسهل عملية الحساب اللي عندنا نقول لك اللي
+
+190
+00:16:08,210 --> 00:16:12,150
+هنا في عندك unit norm vector متعامد على الـ surface
+
+191
+00:16:12,150 --> 00:16:16,230
+وهي ودارك إياه على النقطة هالأفضل عمله بمتعامد
+
+192
+00:16:16,230 --> 00:16:22,480
+على النقطة لاحظ تمام مرة يا شباب أنت بهان لما إيش
+
+193
+00:16:22,480 --> 00:16:25,460
+يجي لي هاي النقطة تبعتي اللي أنا بتبقي أتكلم عليها
+
+194
+00:16:25,460 --> 00:16:31,860
+صفر عشرة صفر هتلي عمود أو عفوا على النقطة هذه
+
+195
+00:16:31,860 --> 00:16:43,020
+ارسم لي vector متعامد على النقطة هذه بس
+
+196
+00:16:43,020 --> 00:16:47,610
+القيمة هذه هي اللي بتحطها واحد تمام؟ وإيه اللي
+
+197
+00:16:47,610 --> 00:16:50,330
+هتدخل في حسبه ثانية إنك بتضمن إن الزاوية تكون تسعين
+
+198
+00:16:50,330 --> 00:16:53,290
+درجة بين الـ two point بين الـ surface و بين الـ
+
+199
+00:16:53,290 --> 00:17:03,930
+point اللي عندنا طيب كوزاين
+
+200
+00:17:03,930 --> 00:17:08,310
+الزاوية يا شباب الـ value تبعتها تروح من قد إيش ل قد إيش؟ من
+
+201
+00:17:08,310 --> 00:17:13,780
+صفر لواحد ما بين السطح والضوء الممارس لمصدر الضوء
+
+202
+00:17:13,780 --> 00:17:17,380
+تمامًا وعشان هيك بياخد لك بياخد الكوزاين الزاوية دائمًا
+
+203
+00:17:17,380 --> 00:17:21,120
+بتعكس الـ intensity كثافة الضوء اللي موجود عندها
+
+204
+00:17:21,120 --> 00:17:26,660
+نفرض إيه؟ أو تطريق ثاني لموضوع الـ scalar product
+
+205
+00:17:26,660 --> 00:17:32,380
+شغل بنسميه احنا الـ face أو الـ back face detection
+
+206
+00:17:32,380 --> 00:17:38,770
+الـ back face detection لما نتكلم عن الـ Back Face
+
+207
+00:17:38,770 --> 00:17:43,230
+Detection نحن نتكلم عن أشكال ثلاثية الأبعاد،
+
+208
+00:17:43,230 --> 00:17:51,470
+مظبوط؟ ثلاثية الأبعاد، الآن هذا ثلاثي الأبعاد، هي
+
+209
+00:17:51,470 --> 00:17:55,310
+فيه الوجه المقابل إليه، الوجه اللي في الأسفل،
+
+210
+00:17:55,310 --> 00:17:57,590
+الوجه اللي في الأعلى، والوجه اللي في الخلف
+
+211
+00:17:57,590 --> 00:18:02,090
+بالإضافة للجانبين، خلّيني أتخيله أشبه بصندوق أو
+
+212
+00:18:02,090 --> 00:18:02,550
+مكعب
+
+213
+00:18:05,310 --> 00:18:10,290
+الآن أي وجه اللي أنت شايفه الآن وممكن الشاب اللي
+
+214
+00:18:10,290 --> 00:18:16,350
+قاعد مباشرة يشوف هذا ويشوف اللي تحته السبب في رؤية
+
+215
+00:18:16,350 --> 00:18:19,590
+الـ face هذا طبعًا الآن المواجهة الـ face هذا
+
+216
+00:18:19,590 --> 00:18:22,990
+بالنسبة لك ده ما لكش مشكلة معك الـ back face الوجه
+
+217
+00:18:22,990 --> 00:18:26,250
+اللي أنت مش شايفه الـ back face مصطلح ننقلق على
+
+218
+00:18:26,250 --> 00:18:30,970
+الوجه اللي أنت مش شايفه لما تبدأ تتحرك الـ object
+
+219
+00:18:30,970 --> 00:18:39,410
+أو نعمل روتيشن بتبدأ تشوف الآن two faces أو حسب
+
+220
+00:18:39,410 --> 00:18:45,090
+ممكن تشوف ثلاثة الآن الفكرة بكل بساطة بدك تأخد
+
+221
+00:18:45,090 --> 00:18:51,190
+vector norm vector على الـ face وتحدده أو تحسب
+
+222
+00:18:51,190 --> 00:18:56,750
+الزاوية بينه وبين الـ object وعينك يعني الآن بدنا
+
+223
+00:18:56,750 --> 00:19:00,850
+نفترض بكل بساطة إن أنت قاعد مكان الكاميرا هذه
+
+224
+00:19:02,090 --> 00:19:04,790
+وبترسم و بتذكر .. إذا بتذكر الـ Curve اللي قمنا
+
+225
+00:19:04,790 --> 00:19:09,090
+لها من الـ Triangles لما تكلمنا على الـ 3D Shapes
+
+226
+00:19:09,090 --> 00:19:12,490
+و قلت أنا بروح بستخدم أو بروح بنشق الـ object كله
+
+227
+00:19:12,490 --> 00:19:16,390
+ياتور باعتماد على المثلثات لأنها عبارة عن planner
+
+228
+00:19:16,390 --> 00:19:21,630
+object وبصير عبارة عن الوجوه هذا الـ face بده يبين
+
+229
+00:19:21,630 --> 00:19:25,790
+ولا بدهش يبين كفّة إيدي الآن وأنا أعملك إياها هيك
+
+230
+00:19:25,790 --> 00:19:29,150
+أنت مش شايف سطحها فوق لاحظ لما بدأت أعمل عليه
+
+231
+00:19:29,150 --> 00:19:35,010
+أرفعها أو أعمل rotation بدأت تظهر. الآن لو أنا 
+
+232
+00:19:35,010 --> 00:19:40,470
+افترضت إن هي الجلم دا قاعد ع كفّة إيدي متعامد عليها
+
+233
+00:19:40,470 --> 00:19:45,770
+كلاما مع عينك إذا الآن الزاوية بين الاتجاهين هدول
+
+234
+00:19:45,770 --> 00:19:52,150
+أكبر أو تساوي تسعين درجة أنت ما تشوفش الـ face شوفوش
+
+235
+00:19:52,150 --> 00:19:59,210
+إذا أنت الآن هيك في مكانك هي الصفحة نتكلم على
+
+236
+00:19:59,210 --> 00:20:06,410
+الطاولة الجلاب متعامد على الطاولة تمامًا إذا كنت رأسك
+
+237
+00:20:06,410 --> 00:20:11,490
+أعلى من الطاولة تمامًا هتشوف هتكون الزاوية أقل من 90
+
+238
+00:20:12,990 --> 00:20:16,950
+وإذا كانت مستوية هناك تمامًا بمستوى طاولة، أنت مش
+
+239
+00:20:16,950 --> 00:20:19,430
+هتشوف الـ face تبع الطاولة، مش هشوف صفحة الطاولة،
+
+240
+00:20:19,430 --> 00:20:22,830
+إلا غير لو أنا قررت إياها، أرفعها شوية عشان أعدل
+
+241
+00:20:22,830 --> 00:20:27,030
+الزاوية اللي موجودة، وهذا المبدأ بكل بساطة بيقودك
+
+242
+00:20:27,030 --> 00:20:30,090
+على كل الـ faces اللي هنا، في الـ object اللي أنت
+
+243
+00:20:30,090 --> 00:20:34,620
+بتوصفه في الـ animation يعني لو احنا افترضنا إن أنا
+
+244
+00:20:34,620 --> 00:20:39,120
+الآن في عندي مكعب ما شوية كمال في عندي مكعب و أنا
+
+245
+00:20:39,120 --> 00:20:43,200
+بدي أحركه في الـ 3D بدي أعمل له rotation والكاميرا
+
+246
+00:20:43,200 --> 00:20:49,240
+مفترض إن هي دوام بتسجل والـ object بدي تشوفه الآن
+
+247
+00:20:49,240 --> 00:20:56,020
+مع كل حركة مع كل لحظة بدي أروح أنا أحسب بين أحق
+
+248
+00:20:56,020 --> 00:21:01,260
+افترض إن أنا فيه اللي كان مدينة المكعب ستة يعني إن
+
+249
+00:21:01,260 --> 00:21:05,100
+أنا بحسب في عندي ستة vectors موجودة ستة vectors
+
+250
+00:21:05,100 --> 00:21:09,500
+اللي بيكونوا موجودات في عندي والكاميرا فاتحة يعني
+
+251
+00:21:09,500 --> 00:21:13,440
+الستة vectors اللي بيبقوا في المنتصف اللي هي مخبئ
+
+252
+00:21:13,440 --> 00:21:18,200
+الكاميرا يعني إن أنا بحسب ست زوايا الزاوية اللي
+
+253
+00:21:18,200 --> 00:21:23,180
+بتطلع أقل من تسعين الوجه اللي متعامد عليه هذه
+
+254
+00:21:23,180 --> 00:21:27,200
+بيبهرها الكاميرا ما تظهرش عشان يجيب
+
+255
+00:21:27,200 --> 00:21:31,180
+اللحظات اللي قلت لك أنت الآن إيه؟ تشوف تسعين درجة
+
+256
+00:21:31,180 --> 00:21:33,900
+تانة أو فوق بس هاي الزوايا اللي أقل من تسعين
+
+257
+00:21:33,900 --> 00:21:36,800
+وممكن تكون صفر كمان لو نزلته لمستوى عيني زميل هان
+
+258
+00:21:36,800 --> 00:21:40,860
+بإصبعه بس شايف الودّي هذا بمجرد إن أنا بدأت أعمل
+
+259
+00:21:40,860 --> 00:21:46,080
+rotation صار شايف اللي تحت و شايف اللي فوق اللي فوق
+
+260
+00:21:46,080 --> 00:21:49,780
+لأنه حسب الوعند المتعامد أو الوعند المتعامد هنا
+
+261
+00:21:49,780 --> 00:21:54,360
+هاي واحد وهي التانية الزوايا التانية أقل من تسعين
+
+262
+00:21:54,360 --> 00:21:59,630
+فأنت شايف الـ two faces بمجرد إن الزاوية اللي تحت سعر
+
+263
+00:21:59,630 --> 00:22:03,370
+التسعين بقت تشوف الـ face اللي موجود عندها وهذا
+
+264
+00:22:03,370 --> 00:22:08,650
+الكلام بدنا نسقطه تاني من خلال أو نطبقه من خلال الـ
+
+265
+00:22:08,650 --> 00:22:14,650
+scalar product للـ vectors السؤال اللي بيطرح نفسه
+
+266
+00:22:14,650 --> 00:22:17,570
+عشان أنا أبني vector أو أبني non vector على الـ
+
+267
+00:22:17,570 --> 00:22:21,750
+surface أو على المثلث إيش بيلزمني؟ زي ما كان
+
+268
+00:22:21,750 --> 00:22:27,800
+بالمثال السابق كنت بحدد النقطة اللي أنا بحسب عليها
+
+269
+00:22:27,800 --> 00:22:32,280
+الـ intensity كثير بتبقوه، مضبوط؟ أو شو بتبقوه؟
+
+270
+00:22:32,280 --> 00:22:36,560
+طيب، هنا في المثلث أي
+
+271
+00:22:36,560 --> 00:22:41,900
+نقطة آخد؟ أي نقطة .. من أي نقطة آخد؟ لأ، بكاش تأخد
+
+272
+00:22:41,900 --> 00:22:45,140
+كل الوجه، الآن الوجه اللي احنا بنتكلم عليه الـ
+
+273
+00:22:45,140 --> 00:22:49,320
+chase هذا اللي بتتكلم عليه بيظهر ولا لأ تعرفون؟ هو
+
+274
+00:22:49,320 --> 00:22:55,080
+عبارة عن مثلث، إن بس تلات نقاط، طيب أي نقطة آخد من
+
+275
+00:22:55,080 --> 00:22:59,360
+التلاتة أي واحدة لأن احنا اتفقنا إن المثلث هو
+
+276
+00:22:59,360 --> 00:23:03,400
+عبارة عن planner مسطح موجود في الـ 3D فبالتالي إن
+
+277
+00:23:03,400 --> 00:23:06,960
+تأخد أي نقطة من التلاتة هتكون تمثل أحد أو نقطة
+
+278
+00:23:06,960 --> 00:23:09,360
+متعامدة إيش كنت بتسأل كمجب شوية؟
+
+279
+00:23:12,760 --> 00:23:16,240
+هي الموضوع ذول وموضوع إن الـ face بده يبين ولا لأ
+
+280
+00:23:16,240 --> 00:23:19,640
+طيب الآن تعال نروح نشوف كيف الحسبة تبعتنا بكل
+
+281
+00:23:19,640 --> 00:23:23,180
+بساطة في المثال هذه المطلوب منك يعني بين جثين بدك 
+
+282
+00:23:23,180 --> 00:23:27,660
+تحسب الزاوية تبني norm vector عمودي على السطح تبع
+
+283
+00:23:27,660 --> 00:23:30,840
+المثلث هذا لو كانت الزاوية اللي بين ال vector تبع
+
+284
+00:23:30,840 --> 00:23:36,680
+الكاميرا و العمودي على السطح اللي عندك هذا أقل من
+
+285
+00:23:36,680 --> 00:23:45,120
+90% otherwise  تعال نشوف بقول افترض أن الكاميرا
+
+286
+00:23:45,120 --> 00:23:51,980
+تبعتك محبوبة في ال origin point 0 0 0 تمام؟
+
+287
+00:23:51,980 --> 00:23:58,000
+و في عندي أنا polygon
+
+288
+00:23:58,000 --> 00:24:05,300
+واحدة من ال vertex تبعتها أيها 10 40 طيب كام
+
+289
+00:24:05,300 --> 00:24:08,880
+vector أنا محتاجه أبني يا شباب؟ محتاجه أبني اثنين
+
+290
+00:24:10,460 --> 00:24:15,340
+طيب عشرة عشرة أربعين هذا النقطة تبعت المثلث
+
+291
+00:24:15,340 --> 00:24:18,640
+افترضها هنا أو افترضها على أي مثلث مش قابل كتير
+
+292
+00:24:18,640 --> 00:24:23,760
+بالنسبة لنا بس نقطة واحدة بدك تعمل حسابك بدك تعمل
+
+293
+00:24:23,760 --> 00:24:29,980
+حسابك أنك بتبني عليها vector تمام؟ و في نفس الوقت
+
+294
+00:24:29,980 --> 00:24:35,020
+شوفك تساوي و بدك تحسب vector ما بين نقطة المثلث
+
+295
+00:24:35,020 --> 00:24:41,010
+هذه و نقطة الكاميرا بس اتجاه ال vector الاصل كل مرة
+
+296
+00:24:41,010 --> 00:24:46,610
+هين من أين؟ من الكاميرا للبوليغون اللي موجود عندك 
+
+297
+00:24:46,610 --> 00:24:56,670
+طيب الآن ال north vector تعالوا دي نحسبه ال north 
+
+298
+00:24:56,670 --> 00:25:00,110
+vector المتعامد على النقطة هاي قال له أيه؟ خمسة
+
+299
+00:25:00,110 --> 00:25:06,030
+خمسة سالب اثنين المكونات تبعته 
+
+300
+00:25:09,110 --> 00:25:13,690
+لاحظ مدنيش الآن نورمال vector ده اللي عايز يبقى
+
+301
+00:25:13,690 --> 00:25:18,770
+عندك هاي العمودي وده نقول vector كامل مدنيش ال
+
+302
+00:25:18,770 --> 00:25:22,250
+magnitude تبعته أيه كل واحد ف أنا ببقى راح أحسبها
+
+303
+00:25:22,250 --> 00:25:25,770
+الكاميرا
+
+304
+00:25:25,770 --> 00:25:30,930
+vector خلنا نسميه C الكاميرا أول موجودة شباب صفر
+
+305
+00:25:30,930 --> 00:25:37,060
+صفر و ال point تبعتي اللي أنا رايح أفحص معاها عشرة 
+
+306
+00:25:37,060 --> 00:25:42,160
+عشرة أربعين معناته ال vector تبعي صفر ناقص عشرة
+
+307
+00:25:42,160 --> 00:25:50,740
+صفر ناقص عشرة صفر ناقص أربعين ال 
+
+308
+00:25:50,740 --> 00:25:57,440
+magnitude تبعتها هيعشرة تربيع عشرة تربيع سالب عشرة 
+
+309
+00:25:57,440 --> 00:26:00,460
+تربيع سالب أربعين تربيع تقريبا تحت 
+
+310
+00:26:00,460 --> 00:26:07,540
+الجذر يساوي اثنين وأربعين ايش اللي عندي بالعنقبج ال 
+
+311
+00:26:07,540 --> 00:26:12,140
+scalar ال product سالب
+
+312
+00:26:12,140 --> 00:26:18,680
+عشرة سالب عشرة سالب أربعين هي ال N و هي ال C هو 
+
+313
+00:26:18,680 --> 00:26:30,900
+عمال يقول لي 7.35 42.43 
+
+314
+00:26:30,900 --> 00:26:39,940
+كزاية زاية يساوي خمسة في سالب عشرة سالب خمسين ناقص 
+
+315
+00:26:39,940 --> 00:26:48,350
+خمسين زائد ثمانين الله شو رايكم إنه سالب اثنين سالب
+
+316
+00:26:48,350 --> 00:26:53,310
+أربعين موجب معناته نفسه عند ال cosine ال theta
+
+317
+00:26:53,310 --> 00:27:01,310
+يساوي سالب عشرين
+
+318
+00:27:01,310 --> 00:27:07,230
+سالب عشرين على سبعة فاصلة خمسة تلاتة ضرب أربعة
+
+319
+00:27:07,230 --> 00:27:13,060
+اثنين فاصلة أربعة تلاتة فيتا تساوي كوزاين انفرست 
+
+320
+00:27:13,060 --> 00:27:16,740
+ال value اللي عندي فوق هذا و اللي تساوي تقريبا
+
+321
+00:27:16,740 --> 00:27:26,700
+ثلاثة وتسعين فاصلة ستة وستين من مية يعني أكبر من 
+
+322
+00:27:26,700 --> 00:27:31,960
+تسعين الفصحى بقى invisible للكاميرا مش هيبين هذا
+
+323
+00:27:31,960 --> 00:27:37,530
+الكلام يعني شباب إذا بتذكر لما اتكلمنا برضه في الـ
+
+324
+00:27:37,530 --> 00:27:40,530
+3D objects و اتكلمنا على الـ planner أو المثلث as
+
+325
+00:27:40,530 --> 00:27:45,470
+planner كمسطح قلت أنا بروح أعرف أن النقاط تبعتي
+
+326
+00:27:45,470 --> 00:27:49,970
+مهمة جدا لأن في عملية ال rendering بروح بحول ال 
+
+327
+00:27:49,970 --> 00:27:52,430
+animation أو ال design تبعي هذا لفيديو ال
+
+328
+00:27:52,430 --> 00:27:57,470
+animation فعشان ال faces تغفر بشكل واضح ال camera
+
+329
+00:27:57,470 --> 00:28:01,750
+فاتة وهذا الكورة أو المكعب تبعي الـ set audio 
+
+330
+00:28:01,750 --> 00:28:10,750
+بيتحرك مع كل frame في الحركة بدي أحسب ست زوايا عشان
+
+331
+00:28:10,750 --> 00:28:17,670
+أيه؟ أوضح أي فاس أو أحدد أي فاس بدي أؤجل هذا كل ال
+
+332
+00:28:17,670 --> 00:28:20,470
+computation بتصير في عملية ال rendering وبعدها أنت 
+
+333
+00:28:20,470 --> 00:28:25,760
+بتصير تشوف animation باستمرار تابتة طيب، لو أنا 
+
+334
+00:28:25,760 --> 00:28:28,200
+افترضت إن في عندي مصدر نوع كمان في الزاوية
+
+335
+00:28:28,200 --> 00:28:32,160
+المقارنة للكاميرا، معناته في الفيس، مش بس بده
+
+336
+00:28:32,160 --> 00:28:35,400
+يبين، صارت بده مضاف عليه حسبة جديدة كمان، إنه جداش
+
+337
+00:28:35,400 --> 00:28:38,900
+شبه الإضاءة عليه بيكون، مصبوط؟ جداش ال brightness
+
+338
+00:28:38,900 --> 00:28:43,520
+تبعته، ولو أنا كمان ال color المقعد هذا ملون، 
+
+339
+00:28:43,520 --> 00:28:46,920
+كمان، هتصير الألوان كمان بتفرج معايا، هذه الحسبة
+
+340
+00:28:46,920 --> 00:28:50,060
+كلها هي في نفس المنطق اللي إحنا قاعدين بنتكلم فيه، 
+
+341
+00:28:50,060 --> 00:28:54,640
+أهم شغلتين فيهم،إن الـ Face هذا بدي بيبين ولا لأ؟
+
+342
+00:28:54,640 --> 00:28:59,100
+بالعنى على الزاوية اللي بتطلع معايا تمام؟ والشغل
+
+343
+00:28:59,100 --> 00:29:03,180
+بتاعي شدت الإضاءة عليه وهيبتخيل .. تخيل إنه أنا 
+
+344
+00:29:03,180 --> 00:29:08,280
+بقلت أتكلم على مكعب صرت أتكلم على 3D object من
+
+345
+00:29:08,280 --> 00:29:16,440
+الشكل السداسي كام Face موجود عنده؟ بس ثمانية؟ مالك
+
+346
+00:29:16,440 --> 00:29:22,880
+يا راجل أكثر من ستة وثلاثين وجه إذا أنا مش غلطان الآن في كل 
+
+347
+00:29:22,880 --> 00:29:27,360
+حركة، عندك ستة وثلاثين vector مع الكاميرا، بيحسب ازاي اللي
+
+348
+00:29:27,360 --> 00:29:31,920
+بينهم، و ستة وثلاثين vector مع مصدر الضوء، بيحسب ازاي اللي
+
+349
+00:29:31,920 --> 00:29:36,080
+بينهم، فبالتالي عشان هيك عملية ال render بتاخد وقت 
+
+350
+00:29:36,080 --> 00:29:40,020
+طويل، تاخد وقت طويل، لحد ما يقول لك اتفضل هي ملف ال
+
+351
+00:29:40,020 --> 00:29:44,920
+AVI تبعك أو ال MB4 تبعك، اتفضل هي جاهز. أنت ممكن
+
+352
+00:29:44,920 --> 00:29:47,600
+تشغل عليه أيام في ال design، عشان تروح تطلع
+
+353
+00:29:47,600 --> 00:29:53,400
+لدقيقتين أو تلاتة، طبعا في فيديو smooth لكن لو واحد
+
+354
+00:29:53,400 --> 00:29:58,540
+من ال faces ما كانش لازم يبين و حضرتك انهرته أو 
+
+355
+00:29:58,540 --> 00:30:02,380
+واحد لازم يبين و اختفى بتحس إنه في فضوة في الكورة
+
+356
+00:30:02,380 --> 00:30:06,300
+تبعتك أو في المكعب اللي موجود فبتستغرب تروح ترجع 
+
+357
+00:30:06,300 --> 00:30:10,920
+مرة ثانية لل design وتشتغل من جديد انوي الموضوع 
+
+358
+00:30:10,920 --> 00:30:15,420
+الآن صار في عندي تطبيقين مهمات جدا لل scalar
+
+359
+00:30:15,420 --> 00:30:21,520
+product في ال vector الأول في شدة الإضاءة والـ Back
+
+360
+00:30:21,520 --> 00:30:26,200
+Face Detection في شدة الإضاءة يا شباب المتجه بتحرك 
+
+361
+00:30:26,200 --> 00:30:32,420
+من النقطة لمصدر الضوء تمام؟ في ال Back Face
+
+362
+00:30:32,420 --> 00:30:36,200
+Detection المتجه تبقى بالعكس بيبدأ من الكاميرا
+
+363
+00:30:36,200 --> 00:30:43,040
+وينتهي عند النقطة اللي أنا بدي أشوفها تمام؟
+
+364
+00:30:43,040 --> 00:30:49,000
+هيك ممكن خلصنا الموضوع الـ vector product و 
+
+365
+00:30:49,000 --> 00:30:52,760
+بالتحديد الـ scalar product بدنا ننتقل لـ
+
+366
+00:30:52,760 --> 00:30:56,960
+Cartesian أو لل cross product عفوا أو اللي أحيانا 
+
+367
+00:30:56,960 --> 00:31:03,180
+بنسميه احنا vector product vector product معناته
+
+368
+00:31:03,180 --> 00:31:07,680
+أن ناتج تبعي بدي يكون عبارة عن vector الناتج تبعي
+
+369
+00:31:07,680 --> 00:31:13,960
+بدي يكون عبارة عن vector احنا شوفنا لما جمعنا two
+
+370
+00:31:13,960 --> 00:31:14,440
+vectors
+
+371
+00:31:18,220 --> 00:31:24,440
+كان الناتج هيو كان محصلة ال vector الجديد لو أنا
+
+372
+00:31:24,440 --> 00:31:31,020
+ضربت ال two vectors وين بدي يكون مضاعف 
+
+373
+00:31:31,020 --> 00:31:36,200
+مضاعف يعني أنت بس روحت و كانت حطيتهم ورا بعض عشان 
+
+374
+00:31:36,200 --> 00:31:39,480
+يسيطرونهم احنا عمال نتكلم أن هي الجمع بس حتى مش 
+
+375
+00:31:39,480 --> 00:31:47,160
+ضعفهم كمان أقل من ضعفهم شوية لكن هنا شباب دائما
+
+376
+00:31:47,160 --> 00:31:53,480
+بنتخيل في الموضوع أنه هيكون متعامد عليهم ال train
+
+377
+00:31:53,480 --> 00:31:59,600
+ونقدر نقلهم تمام؟
+
+378
+00:31:59,600 --> 00:32:04,300
+بيكون متعامد على ال two vectors اتجاهه هيكون
+
+379
+00:32:04,300 --> 00:32:08,120
+متعامد على ال two vectors أو على المسطح أو ال
+
+380
+00:32:08,120 --> 00:32:10,440
+plane اللي محتوى ال two vectors اللي أنا بقدرهم مع
+
+381
+00:32:10,440 --> 00:32:12,780
+بعض ال cross product
+
+382
+00:32:15,510 --> 00:32:23,470
+بنرمز بال X cross product T as a vector تساوي R 
+
+383
+00:32:23,470 --> 00:32:30,770
+cross S ال magnitude تبعت ال T تساوي ال magnitude
+
+384
+00:32:30,770 --> 00:32:34,190
+تبعت ال R في ال magnitude تبعت ال S في sign
+
+385
+00:32:34,190 --> 00:32:36,250
+الزاوية اللي بينهم
+
+386
+00:32:39,300 --> 00:32:43,640
+طيب وهذا ال vector متعامد على ال plane اللي بيحتوي
+
+387
+00:32:43,640 --> 00:32:49,620
+زي ما قلنا ال two vectors هدول كمان عشان أنا أشوف
+
+388
+00:32:49,620 --> 00:32:55,880
+ال vector الناتج التابعي كيف بدي يكون؟ بدي أرجع
+
+389
+00:32:55,880 --> 00:32:59,360
+للقانون السابق اللي أمثل ال two vectors as
+
+390
+00:32:59,360 --> 00:33:05,510
+Cartesian vectors AI بزاية DJ بزاية CPK هذا ال R
+
+391
+00:33:05,510 --> 00:33:12,810
+أسطس هو DI بزاية EJ بزاية FK الآن cross product
+
+392
+00:33:12,810 --> 00:33:20,990
+معناته هاي مجموعتين و أروح أنا أوزع الضرب على
+
+393
+00:33:20,990 --> 00:33:24,110
+عناية الجامعة اللي موجودة عندي زي ما وزعناها سابقا
+
+394
+00:33:24,110 --> 00:33:27,610
+بس استنى شوية عليا أيه
+
+395
+00:33:30,740 --> 00:33:35,000
+هذه المحصلة اللي عندي هذه المحصلة اللي عندي بعد
+
+396
+00:33:35,000 --> 00:33:41,780
+التوزيع صار في عندي scalar value a في d مافي مشكلة
+
+397
+00:33:41,780 --> 00:33:47,740
+و صار في عندي cross product بين i في i cross
+
+398
+00:33:47,740 --> 00:33:53,060
+product بين i في i ال cross product تبعتي يا عزيزي
+
+399
+00:33:53,060 --> 00:33:59,420
+الشباب أنا بتكلم على أن ال magnitude تبعتها هي جداش
+
+400
+00:33:59,420 --> 00:33:59,860
+تساوي
+
+401
+00:34:11,620 --> 00:34:18,760
+أو في الـ 3D في الزمن وبالتالي ال magnitude لهذه ك
+
+402
+00:34:18,760 --> 00:34:24,070
+cross product هتديني صفر لأن ال magnitude واحد في
+
+403
+00:34:24,070 --> 00:34:27,470
+واحد في ال sign الزاوية اللي بينهم صفر ما بعش يعني
+
+404
+00:34:27,470 --> 00:34:32,090
+يعني أنا فعليا بدي أخلص من ال terms اللي فيها مين
+
+405
+00:34:32,090 --> 00:34:36,390
+المتشابهات زي مجال كمال قبل شوية طيب الآن ايش
+
+406
+00:34:36,390 --> 00:34:40,830
+بيبقى اللي عندي بيبقى اللي عندي باقي العناصر اللي 
+
+407
+00:34:40,830 --> 00:34:53,270
+موجودة عندهم AI أو OE عفوا مضروبة في I X J I X K I
+
+408
+00:34:53,270 --> 00:34:57,830
+X J
+
+409
+00:34:57,830 --> 00:34:59,730
+I X K I X K I X K I X K I X K I X K I X K I X K I
+
+410
+00:34:59,730 --> 00:34:59,810
+K I X K I X K I X K I X K I X K I X K I X K I
+
+411
+00:34:59,810 --> 00:35:00,810
+X K I X K I X K I X K I X K I X K I X K I X K I
+
+412
+00:35:00,810 --> 00:35:04,490
+X K I X K I X K I X K I X K I X K I X K I X K I X
+
+413
+00:35:04,490 --> 00:35:07,870
+K I X
+
+414
+00:35:07,870 --> 00:35:07,910
+I X K I X K I X K I X K I X K I X K I X K I X K I
+
+415
+00:35:07,910 --> 00:35:09,450
+X K I X K I X K I X K I X K I X K I X K I X K I X
+
+416
+00:35:09,450 --> 00:35:17,890
+K I X K I X K I X K I X بواحد صيني التسعين بواحد
+
+417
+00:35:17,890 --> 00:35:24,950
+تمام طيب الآن 
+
+418
+00:35:24,950 --> 00:35:28,450
+احنا قلنا في ال cross product الناتج هيكون شباب
+
+419
+00:35:28,450 --> 00:35:33,750
+متعامد عليهم بصبوط طيب من المتعامد على ال I و ال J
+
+420
+00:35:33,750 --> 00:35:41,570
+ال Z ال K باتجاه ال Z ولا تمام طيب لو أنا افترضت 
+
+421
+00:35:41,570 --> 00:35:48,940
+العكس أنا قاعد بدرب جي
+
+422
+00:35:48,940 --> 00:36:00,620
+في الـ I جي في الـ I ازاي رديرهم 90 اه لأ مش 90 180
+
+423
+00:36:00,620 --> 00:36:04,860
+لأن أنت بتبدأ ده من ازاي وقياس ازاي من عند الصفر
+
+424
+00:36:04,860 --> 00:36:09,000
+تعمل rotation شغلة مهمة جدا نفسي خلاني اتذكرها في
+
+425
+00:36:09,000 --> 00:36:12,880
+الـ cross product A cross الـ B
+
+426
+00:36:18,860 --> 00:36:23,680
+في المجموعات .. في المجموعات لما أنا بروح بضرب a
+
+427
+00:36:23,680 --> 00:36:29,440
+cross الـ b لا تساوي لأن هذه المفروض تديني زوج مرتب
+
+428
+00:36:29,440 --> 00:36:36,940
+a و b وهذه المفروض تديني b و a و الـ a بي لا تساوي
+
+429
+00:36:36,940 --> 00:36:42,080
+بي أنا في حالة واحدة اتنين كانوا يساوي بعض، مصبور؟
+
+430
+00:36:42,080 --> 00:36:46,780
+طيب اللي أنا بدي .. الأول ما نختصر في القيمة اللي
+
+431
+00:36:46,780 --> 00:36:52,900
+موجودة عندي هنا عشان نعرف المتجه اللي باقي عندي
+
+432
+00:36:52,900 --> 00:36:57,400
+اللي 
+
+433
+00:36:57,400 --> 00:37:07,740
+هي K X J مهم جدا الآن أتعرف على أن اتجاه المتجه
+
+434
+00:37:07,740 --> 00:37:12,540
+المتعامد عليهم هيكون اتجاهه موجب ولا هيكون اتجاهه
+
+435
+00:37:12,540 --> 00:37:16,540
+سالب الآن حسب الزمن أنت تخيل هيك
+
+436
+00:37:21,570 --> 00:37:28,010
+المفروض هون الـ I صح؟ وهون الـ J إذا أنا قلت I cross
+
+437
+00:37:28,010 --> 00:37:33,870
+الـ J تسعين واحد موجب إذا أنا روحت .. إذا هيك روحت
+
+438
+00:37:33,870 --> 00:37:43,810
+قلت هيك من اتجاه واحد إذا أتيت هيك سالب واحد طيب I و
+
+439
+00:37:43,810 --> 00:37:53,430
+K I في K يعني المتجهات اي جي كيك احفظهم اي جي كيك
+
+440
+00:37:53,430 --> 00:38:01,430
+اي في جي موجب جي في كيك جي في كيك موجب مش الاتجاه
+
+441
+00:38:01,430 --> 00:38:08,030
+هي ماشي هيكم اي في كيك موجب طيب الآن بتأكد برجوع
+
+442
+00:38:08,030 --> 00:38:16,990
+لما تجي تقولي جي او ك في اي سالب كي في جي ..الآن
+
+443
+00:38:16,990 --> 00:38:23,250
+هتتخيلها هيك ده شباب IJK
+
+444
+00:38:23,250 --> 00:38:28,570
+IJK
+
+445
+00:38:28,570 --> 00:38:33,170
+هيك بتعطيني موجب
+
+446
+00:38:37,410 --> 00:38:41,890
+والأسود بيعطيني سالب أي طريقة أنت تشوفها تمام
+
+447
+00:38:41,890 --> 00:38:47,170
+الأمر مطلوب إليك و الـ vector اللي ضايل المتعامل
+
+448
+00:38:47,170 --> 00:38:53,070
+اتجاهه يعني إذا أنا قلت هيك I في J I cross الـ J
+
+449
+00:38:53,070 --> 00:39:01,980
+موجب K موجب K J في K موجب I لأن العمود هيكون الـ
+
+450
+00:39:01,980 --> 00:39:05,080
+vector التالت متعامد عليهم متعامد عليهم يعني نفسي
+
+451
+00:39:05,080 --> 00:39:07,760
+ليش بقى الـ main النورمال vector التالت اللي موجود
+
+452
+00:39:07,760 --> 00:39:13,240
+عندها تعال نشوف القيم اللي عندها I
+
+453
+00:39:13,240 --> 00:39:26,680
+في J موجب K I في K موجب J J في I سالب K الآن هي J
+
+454
+00:39:26,680 --> 00:39:32,740
+هي J ماذا أنا بدي أروح باتجاه الـ I سالب K J في K 
+
+455
+00:39:32,740 --> 00:39:37,120
+موجب I K في I سالب K
+
+456
+00:40:00,390 --> 00:40:16,790
+ك في I موجب في J موجب في J ك في J ك في J سالب I صف
+
+457
+00:40:16,790 --> 00:40:25,450
+المسألة عندي الآن ايه في K I أ شوفوا اللي محلنا
+
+458
+00:40:25,450 --> 00:40:33,870
+غلطه هنا شباب I في K I في K ليش موجب بصراحة هي ده
+
+459
+00:40:33,870 --> 00:40:41,790
+هي ده I في K طيب
+
+460
+00:40:41,790 --> 00:40:46,430
+عيد تاني ايش
+
+461
+00:40:46,430 --> 00:40:49,870
+يعمل مالك يا حبيبي هي هي الرسمة
+
+462
+00:40:55,850 --> 00:40:58,010
+طب ما احنا عملنا لك يا عم أقول لك على ثلاثة أصحابك
+
+463
+00:40:58,010 --> 00:41:02,790
+قلت لك هيهم واشغل فيهم هيك هو .. هو أنت شوف من I
+
+464
+00:41:02,790 --> 00:41:06,810
+.. I في K مبوشق ولا سالب؟ الآن وين تجاه الـ I K؟
+
+465
+00:41:06,810 --> 00:41:12,110
+الجهة من I في K هيو أسود I في K .. I في K سالب ..
+
+466
+00:41:12,110 --> 00:41:14,410
+I في K سالب .. I في K سالب .. I في K سالب .. I في
+
+467
+00:41:14,410 --> 00:41:18,810
+K سالب .. I في K سالب .. I في K سالب .. I في K
+
+468
+00:41:18,810 --> 00:41:21,050
+سالب .. I في K سالب .. I في K سالب .. I في K سالب
+
+469
+00:41:21,050 --> 00:41:21,450
+.. I في K سالب .. I في K سالب .. I في K سالب .. I
+
+470
+00:41:21,450 --> 00:41:22,370
+في K سالب .. I في K سالب .. I في K سالب .. I في K
+
+471
+00:41:22,370 --> 00:41:33,590
+سالب .. I في K سالب في جي في كي الموجب
+
+472
+00:41:33,590 --> 00:41:37,430
+طيب
+
+473
+00:41:37,430 --> 00:41:41,910
+ايش صار اتجاه سالب
+
+474
+00:41:44,210 --> 00:41:58,830
+مثل هذا الوثلة
+
+475
+00:41:58,830 --> 00:42:03,770
+تحسن يا شباب I
+
+476
+00:42:03,770 --> 00:42:06,970
+I
+
+477
+00:42:06,970 --> 00:42:09,490
+J K
+
+478
+00:42:11,330 --> 00:42:21,050
+I في J موجب J في K موجب K في I موجب تمام أي سهم
+
+479
+00:42:21,050 --> 00:42:31,250
+ينعكس إشارته سالبة طيب
+
+480
+00:42:31,250 --> 00:42:45,800
+تعال الآن I J موجب K I في K هي سالب سالب J J في I
+
+481
+00:42:45,800 --> 00:42:51,460
+J في
+
+482
+00:42:51,460 --> 00:42:57,720
+K K
+
+483
+00:42:57,720 --> 00:43:02,880
+في I K
+
+484
+00:43:02,880 --> 00:43:06,540
+في J سالب
+
+485
+00:43:06,540 --> 00:43:07,480
+I K
+
+486
+00:43:12,640 --> 00:43:23,840
+سالب J سالب K موجب ب I موجب ب J سالب I تمام احفظ
+
+487
+00:43:23,840 --> 00:43:26,760
+على المثلث عشان ما تخربطش حالك ولا تخربطني معاك
+
+488
+00:43:26,760 --> 00:43:31,340
+تمام
+
+489
+00:43:31,340 --> 00:43:38,320
+الآن بدي آخذ عامل مشترك الـ vectors اللي هم I و J و K
+
+490
+00:43:38,320 --> 00:43:49,220
+الآن K وندي سلK معناته هكون في أهندي أنا أخر
+
+491
+00:43:49,220 --> 00:44:03,760
+حاجة A E ناقص ب مضروبة في K زائد في J C
+
+492
+00:44:03,760 --> 00:44:06,840
+B
+
+493
+00:44:06,840 --> 00:44:09,200
+ناقص A F
+
+494
+00:44:15,250 --> 00:44:27,690
+CB CB موجب لاقص F ماشي
+
+495
+00:44:27,690 --> 00:44:29,890
+أخذ السالب ماشي بصور شوية
+
+496
+00:44:43,710 --> 00:44:47,870
+أضرب هدف السالب أضرب هدف السالب تطلع معاك نفس ال
+
+497
+00:44:47,870 --> 00:44:53,310
+.. أي هدف سأصور
+
+498
+00:44:53,310 --> 00:44:58,250
+أستاذ اصور اصور
+
+499
+00:44:58,250 --> 00:45:04,590
+مش هنهي هدف اللي أنا علمته بهدول سالب AF وأنا زائد
+
+500
+00:45:04,590 --> 00:45:06,610
+C
+
+501
+00:45:07,910 --> 00:45:12,210
+دي جي الآن
+
+502
+00:45:12,210 --> 00:45:16,990
+تبقى تأخذ عامل مشترك إذا بقى تأخذ جي كعامل مشترك
+
+503
+00:45:16,990 --> 00:45:27,710
+جي كعامل مشترك هذه هتساوي جي مضروبة فيه CD ناقص AF
+
+504
+00:45:27,710 --> 00:45:36,550
+طبعا طيب لو أنا قرأت آخذ ناقص جي عامل مشترك بتصير
+
+505
+00:45:36,550 --> 00:45:45,760
+عندي AF ناقص CD يعني هذه وهذه تساويات أخوات نفس ال
+
+506
+00:45:45,760 --> 00:45:50,200
+value هم مش أخوات هم نفس الشيء تمام بس مغيرين
+
+507
+00:45:50,200 --> 00:45:54,760
+اللبس ال
+
+508
+00:45:54,760 --> 00:45:59,660
+F
+
+509
+00:45:59,660 --> 00:46:03,880
+خلّيني أقول لك الإشارة السالبة ليش احنا بدنا إياها
+
+510
+00:46:08,330 --> 00:46:18,130
+الـ F أو عفوًا الـ I I
+
+511
+00:46:18,130 --> 00:46:29,110
+بي أف ناقص CE في الـ I تعال ارتب المسألة أو ارتب
+
+512
+00:46:29,110 --> 00:46:31,010
+العناصر هنا على جنب اللوح
+
+513
+00:46:36,840 --> 00:46:51,440
+R تساوي AI زائد BJ زائد C في K و S تساوي EI زائد F
+
+514
+00:46:51,440 --> 00:46:56,080
+في J ABCD
+
+515
+00:46:56,080 --> 00:47:05,120
+أنا D وأنا EJ زائد F في K طلعنا في القيمة اللي
+
+516
+00:47:05,120 --> 00:47:06,300
+موجودة عندنا شباب
+
+517
+00:47:10,360 --> 00:47:18,560
+لما أنا جيت أتكلم على جيت أتكلم على I أشمل
+
+518
+00:47:18,560 --> 00:47:24,540
+المعاملات اللي عندي بصبت
+
+519
+00:47:24,540 --> 00:47:34,160
+BF وC في E يعني هيك صارت عندي R cross الـ S يساوي
+
+520
+00:47:34,160 --> 00:47:37,180
+BF
+
+521
+00:47:37,180 --> 00:47:38,220
+ناقص
+
+522
+00:47:41,410 --> 00:47:51,630
+تمام؟ CE في I إذا أنا بدي أقول زائد المفروض تطلع
+
+523
+00:47:51,630 --> 00:47:56,670
+منين معاه يعني، إذا كنا بنتكلم على الزائد؟
+
+524
+00:47:56,670 --> 00:48:04,470
+CD
+
+525
+00:48:04,470 --> 00:48:05,610
+ناقص AF
+
+526
+00:48:10,340 --> 00:48:15,660
+بنفعش، مش هقدر أثبت قانون واحدة أشتغل عليه، كمان؟
+
+527
+00:48:15,660 --> 00:48:21,900
+لأ مش بس في الحفظ هي نفس القيمة نفس القيمة ما تتغيرش
+
+528
+00:48:21,900 --> 00:48:26,940
+عليها ولا حاجة بس أسهلك عشان تستذكر أو تبقى ماشي
+
+529
+00:48:26,940 --> 00:48:31,120
+على قيمة واحدة أو معادلة واحدة القطر الرئيسي أو
+
+530
+00:48:31,120 --> 00:48:35,820
+القطر الرئيسي ناقص عناصر القطر الثانوي ناقص عناصر
+
+531
+00:48:35,820 --> 00:48:39,140
+القطر الثانوي الآن إذا ما أنا بدي آجي أقوله زائد J
+
+532
+00:48:39,140 --> 00:48:44,420
+بدي آخذ الـ J المفروض إذا أنا بدي ماشي القطر
+
+533
+00:48:44,420 --> 00:48:52,540
+الرئيسي A في F ناقص D في C بس لأ اللي عندي العكس
+
+534
+00:48:52,540 --> 00:48:57,100
+عشان يطلع الجواب هذا بتأخذ منه سالب واحد عشان يطلع
+
+535
+00:48:57,100 --> 00:49:01,900
+الجواب هذا بتأخذ منه سالب واحد تمام فإيش باخذ؟ باخذ
+
+536
+00:49:01,900 --> 00:49:07,660
+السالب من الجي فبتصير عندي سالب AF
+
+537
+00:49:07,660 --> 00:49:09,860
+مابلس
+
+538
+00:49:11,390 --> 00:49:15,250
+CB في الـ J شغل التالي على القانون اللي بيريحنا زي
+
+539
+00:49:15,250 --> 00:49:18,290
+ما بدكرنا خضر طب ما احنا لما اتعاملنا مع الطيارة
+
+540
+00:49:18,290 --> 00:49:23,350
+المصفوفة يا جماعة الخيار جوا بتبدأ بموجب سالب موجب
+
+541
+00:49:23,350 --> 00:49:27,130
+مع الفارق اللي أخبره الآن أن أنا ما فيش عندي مصفوفة
+
+542
+00:49:27,130 --> 00:49:30,510
+متكاملة عشان آخذ عنصرها ولا بحسب determinant بس
+
+543
+00:49:30,510 --> 00:49:35,550
+للسبب هذا أن أنا دائما عشان اتزهد تكون أسهل عليا
+
+544
+00:49:35,550 --> 00:49:40,710
+تذكر الـ vector اللي موجود اللي أنا بدي أضربه بخبي
+
+545
+00:49:40,710 --> 00:49:44,670
+العنصر اللي بيبقى اللي فيه عندي عناصر القطر الرئيسي
+
+546
+00:49:44,670 --> 00:49:49,270
+ناقص عناصر القطر الثاني وبيقول لك ماشي فيها موجب
+
+547
+00:49:49,270 --> 00:49:58,130
+سالب موجب هم ثلاثة أب عادي اللي عندي زائد KN OE
+
+548
+00:49:58,130 --> 00:49:59,950
+ناقص D في D
+
+549
+00:50:05,330 --> 00:50:08,430
+اللي هي قيم اللي موجودة عندي تحت واضحة الأمر يا
+
+550
+00:50:08,430 --> 00:50:18,670
+شباب؟ يعني الآن بكل بساطة لما أنا آجي أتكلم على ال
+
+551
+00:50:18,670 --> 00:50:21,730
+Cartesian product بين الـ two vectors وبيكون مبني
+
+552
+00:50:21,730 --> 00:50:27,230
+اياهم هيك أو مبني اياهم as vector
+
+553
+00:50:27,230 --> 00:50:32,090
+بروح اشتغل فيه مباشرة كالتالي R cross الـ S تساوي
+
+554
+00:50:48,370 --> 00:50:53,970
+طب احنا .. دي حكينا خبر من قبل عشر دقائق جال زي
+
+555
+00:50:53,970 --> 00:50:57,450
+النظام المصفوفة بتقول مع الفارق الأخضر كنت أنا بحسب
+
+556
+00:50:57,450 --> 00:51:03,090
+الـ determinant للمصفوفة ببدأ بموجب سالب موجب تمام؟
+
+557
+00:51:03,270 --> 00:51:06,170
+إذا أنت بتتذكرها بالمنطق هذا اتوكل على الله ما فيش
+
+558
+00:51:06,170 --> 00:51:09,590
+أنا مشكلة في الموضوع لكن سببها مش لأنها مصفوفة أنا
+
+559
+00:51:09,590 --> 00:51:12,970
+بتكلمش لها على مصفوفة ولا على determinant أنا عامل
+
+560
+00:51:12,970 --> 00:51:18,010
+حسبت لك اياها من وجهة الإشارة السالبة طبعا الفكرة 
+
+561
+00:51:18,010 --> 00:51:20,970
+إنه أنا بثبت القانون عشان دائماً أضرب عناصر القدر
+
+562
+00:51:20,970 --> 00:51:25,050
+الرئيسي وأطرح منها عناصر القدر التالي، فمباشرة أنا
+
+563
+00:51:25,050 --> 00:51:25,430
+الآن
+
+564
+00:51:30,690 --> 00:51:43,210
+B في F ناقص CE  B F ناقص CE في I ناقص A F ناقص CD A
+
+565
+00:51:43,210 --> 00:51:49,190
+F ناقص CD في J زائد A E ناقص B D
+
+566
+00:51:56,720 --> 00:52:04,000
+AE-BD  وبذلك أنت سهل عليك أن تتذكر القانون و
+
+567
+00:52:04,000 --> 00:52:08,600
+تحفظه وتستطيع أن تحل عليه بكل بساطة تمام، ننتقل
+
+568
+00:52:08,600 --> 00:52:15,920
+للحقيقة التالية في 
+
+569
+00:52:15,920 --> 00:52:20,080
+عندي two vectors R و S
+
+570
+00:52:24,720 --> 00:52:29,880
+وأحسب الـ cross product في الـ R و الـ S قبل ما يطلع لي
+
+571
+00:52:29,880 --> 00:52:34,920
+في الـ R وطلع لي في الـ S، الـ R ايش تمثل؟ unit vector 
+
+572
+00:52:34,920 --> 00:52:45,340
+والـ I  و الـ S الـ J، الأصل حاصل ضربهم K كـ cross product 
+
+573
+00:52:45,340 --> 00:52:51,120
+كـ cross product الأصل الدينامي K، حصل الحسبة تلعيتنا
+
+574
+00:52:51,120 --> 00:52:57,520
+هنا R cross الـ S تساوي 0
+
+575
+00:52:57,520 --> 00:53:09,040
+في 0 ناقص 0 في 1، يعني 0 في I زائد ما تأخذش
+
+576
+00:53:09,040 --> 00:53:11,560
+الـ K احنا جايين نعمل اثبات لك أنك يطلع معاك الـ K 
+
+577
+00:53:11,560 --> 00:53:12,380
+ناقص
+
+578
+00:53:25,360 --> 00:53:34,260
+زائد 1 في 1 ناقص صفر، 1 1 في كيك اللي
+
+579
+00:53:34,260 --> 00:53:42,540
+هو بين دوسين تساوي الكيك، طيب لو أنا عكست الدرب و
+
+580
+00:53:42,540 --> 00:53:52,100
+اتأس كروس الـ R الأصل يطلع معايا سالب K، تعمد ربهم مع
+
+581
+00:53:52,100 --> 00:53:58,900
+بعض الآن واحد
+
+582
+00:53:58,900 --> 00:54:07,180
+في كتر رئيسي S ذات ساوي صفر I زائد 1 في J ذات
+
+583
+00:54:07,180 --> 00:54:11,320
+صفر في K الآن
+
+584
+00:54:11,320 --> 00:54:19,920
+R في S في R1 فى صفر، صفر فى I زائد أو ناقص صفر فى J
+
+585
+00:54:19,920 --> 00:54:27,620
+لأن عند الـ K صفر في صفر ناقص 1 في 1 زائد 
+
+586
+00:54:27,620 --> 00:54:35,600
+سالب 1 في K وتساوي سالب K، يعني أو كأن إني قاعد
+
+587
+00:54:35,600 --> 00:54:39,180
+بالبالة كنت بقوله إن I cross الـ J كانت تساوي K 
+
+588
+00:54:39,180 --> 00:54:43,340
+بينما J cross الـ I تساوي سالب
+
+589
+00:54:48,110 --> 00:54:54,330
+تمام الأمور يا شباب؟ تمام، الله عفوك .. لا والله ..
+
+590
+00:54:54,330 --> 00:55:00,390
+الله عفوك، استويتوا عاديوش يعني .. تدوزوا للأكل إن 
+
+591
+00:55:00,390 --> 00:55:06,210
+شاء الله كده مش شوية .. خليه يغلي كمان شوية ..
+
+592
+00:55:06,210 --> 00:55:14,090
+خليه يدوب .. شبابه عيب وقعدة في الغاز طالع ..
+
+593
+00:55:14,090 --> 00:55:18,180
+الآن بقول اللي عارف في عندي Find the normal vector
+
+594
+00:55:18,180 --> 00:55:24,980
+Normal
+
+595
+00:55:24,980 --> 00:55:28,880
+متعامد
+
+596
+00:55:28,880 --> 00:55:34,240
+Normal vector يعني الـ vector المتعامد على الـ two
+
+597
+00:55:34,240 --> 00:55:41,080
+vectors R و S بحيث إن الـ R محصورة بين الغطين هدول
+
+598
+00:55:41,080 --> 00:55:45,820
+و الـ S محصورة بين الغطين هدول مباشرة 
+
+599
+00:55:47,710 --> 00:55:55,270
+الـ R تساوي تبقى
+
+600
+00:55:55,270 --> 00:55:59,710
+بشكل هذا، صفر
+
+601
+00:55:59,710 --> 00:56:10,770
+ماكس 1 ماكس 1 1 ماكس 0 1 0 ماكس
+
+602
+00:56:10,770 --> 00:56:14,090
+0 0 الـ S
+
+603
+00:56:18,810 --> 00:56:29,070
+0 ناقص 1 0 ناقص 0 1 ناقص 0 1 الآن 
+
+604
+00:56:29,070 --> 00:56:32,190
+بيقول هات للـ normal vector المتعامد على الـ two 
+
+605
+00:56:32,190 --> 00:56:35,830
+vectors هدول بيقتربهم cross الـ product في بعض بشكل 
+
+606
+00:56:35,830 --> 00:56:40,170
+مباشر R cross الـ S يساوي
+
+607
+00:56:46,400 --> 00:56:56,460
+1 في 1 ناقص صفر 1 I ناقص
+
+608
+00:56:56,460 --> 00:57:06,160
+سالب 1 في ناقص صفر سالب 1، سالب 1 في J 
+
+609
+00:57:06,160 --> 00:57:09,400
+زائد
+
+610
+00:57:09,400 --> 00:57:20,800
+الأخير سالب 0 ناقص ناقص 1، 1 1 في K وأنا
+
+611
+00:57:20,800 --> 00:57:30,640
+بيساوي I زائد J زائد K اللي بقدر أنا أكتبه على 
+
+612
+00:57:30,640 --> 00:57:36,440
+صورة 1 1 1، هذا هو الـ T
+
+613
+00:57:41,900 --> 00:57:49,240
+بصبرت؟ بيكون الناتج متعامد على الـ two vectors اللي
+
+614
+00:57:49,240 --> 00:57:57,420
+موجودين عندها في
+
+615
+00:57:57,420 --> 00:58:01,360
+المثال
+
+616
+00:58:01,360 --> 00:58:08,380
+السابق بيقول فايدة الـ normal vector S في TS فى R
+
+617
+00:58:08,380 --> 00:58:17,580
+عفواً الـ T S في R ايش تتوقع يتغير؟ وكأن
+
+618
+00:58:17,580 --> 00:58:22,280
+ضربت الـ vector كله في سالب 1، احنا قولنا صادقا 
+
+619
+00:58:22,280 --> 00:58:25,660
+لما اتكلمنا عن الـ complex number السالب 1 أو
+
+620
+00:58:25,660 --> 00:58:31,100
+ضرب في سالب 1 يعني إنه غيرت اتجاه 180 درجة 
+
+621
+00:58:31,100 --> 00:58:37,910
+فالمفروض أن يطلع إن دهان سالب I سالب I سالب J سالب K
+
+622
+00:58:37,910 --> 00:58:46,230
+اللي هي تساويها لو أخذتها سالب 1 في 1 1
+
+623
+00:58:46,230 --> 00:58:49,870
+1 و لا لا 
+
+624
+00:58:59,950 --> 00:59:08,910
+إذا تبقى T و S، تمام مين يقول إن فعلياً الـ K هي
+
+625
+00:59:08,910 --> 00:59:14,670
+الـ S وهي الـ R تفاجأنا قبل شوية كمال إن الـ T هيكون
+
+626
+00:59:14,670 --> 00:59:20,050
+متعامد عليهم، الآن متعامد عليهم، متعامد على مين؟
+
+627
+00:59:22,660 --> 00:59:27,160
+الآن بيقول لك بالكلام هذا ما يطلوب فيه، بيقول لك إن هذا
+
+628
+00:59:27,160 --> 00:59:29,820
+العمود لو أنا حركته هيكون متعامد على الـ planner
+
+629
+00:59:29,820 --> 00:59:32,720
+اللي موجود عندي هنا، بس فعلياً الرصم واضح بتقول لي
+
+630
+00:59:32,720 --> 00:59:42,580
+أنا هورجي قسميك هذه بالاتجاه هذا هيك اتجاه الـ T هل 
+
+631
+00:59:42,580 --> 00:59:49,210
+الخط هذا متعامد عليها 90 درجة، متعامد عليهم يعني لازم
+
+632
+00:59:49,210 --> 00:59:53,390
+تكون زي القائمة، متعامد على السطح شوف في قوانين
+
+633
+00:59:53,390 --> 01:00:01,890
+المثلثات أعتقد، أيش قانون الأعمدة حساب المثلثات تمام
+
+634
+01:00:01,890 --> 01:00:06,650
+إذا كان، إذا كان في عند سطح متعامد على سطح ثاني
+
+635
+01:00:06,650 --> 01:00:11,570
+متعامد على سطح ثاني معناته أي نقطة من السطح متعامد
+
+636
+01:00:11,570 --> 01:00:14,590
+على السطح اللي موجود وهذا الكلام معناته هيطلع نفس
+
+637
+01:00:14,590 --> 01:00:18,140
+النتيجة وكأنه بيقعد بيديك two vectors في الآخر
+
+638
+01:00:18,140 --> 01:00:21,880
+بيديك two vectors وبيقول لك هات الـ vector التالف
+
+639
+01:00:21,880 --> 01:00:25,780
+الشغل يعني ايش؟ في الآخر هي عبارة عن cross product
+
+640
+01:00:25,780 --> 01:00:29,240
+ملياش علاقة إن احنا بمنطقة الجسمة اللي ندل على 
+
+641
+01:00:29,240 --> 01:00:31,340
+الطرف التالف وأنا راح أضرب الأنصار اللي موجود
+
+642
+01:00:31,340 --> 01:00:34,200
+عندها يعني ممكن نجي في اليوم احنا هنا بحيث إنه
+
+643
+01:00:34,200 --> 01:00:40,140
+ناخد الـ areas مش حقبناخد الـ areas المرة الجاية و
+
+644
+01:00:40,140 --> 01:00:42,920
+بناخد بعض الأمثلة كتطبيقات يعني من هي محاضرتنا
+
+645
+01:00:42,920 --> 01:00:44,920
+المحاضرة الجاية إن شاء الله تعالى في الموضوع
+
+646
+01:00:44,920 --> 01:00:48,680
+الجزئية اللي دا الحساب المساحة ومن ثم تطبيقات على 
+
+647
+01:00:48,680 --> 01:00:52,160
+أو أمثلة على الموضوع كليته الله يطول العافية شباب
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/LafID9IIfQA_raw.json b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/LafID9IIfQA_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..3812daa2a6ed36e825f85fd28cbcc972fabc212c
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/LafID9IIfQA_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2467, "start": 20.77, "end": 24.67, "text": "طيب شوف .. بسم الله والحمد لله والصلاة والسلام على رسول الله", "tokens": [9566, 1829, 3555, 13412, 38688, 4386, 4724, 38251, 21984, 16070, 35571, 3215, 24976, 3224, 16070, 9381, 15040, 3660, 16070, 3794, 37440, 15844, 12602, 3794, 12610, 21984], "avg_logprob": -0.18735532848923295, "compression_ratio": 1.3375, "no_speech_prob": 0.0, "words": [{"start": 20.77, "end": 21.01, "word": "طيب", "probability": 0.8019205729166666}, {"start": 21.01, "end": 21.21, "word": " شوف", "probability": 0.6129150390625}, {"start": 21.21, "end": 21.51, "word": " ..", "probability": 0.292236328125}, {"start": 21.51, "end": 22.91, "word": " بسم", "probability": 0.94873046875}, {"start": 22.91, "end": 23.05, "word": " الله", "probability": 0.970703125}, {"start": 23.05, "end": 23.33, "word": " والحمد", "probability": 0.8294270833333334}, {"start": 23.33, "end": 23.47, "word": " لله", "probability": 0.96044921875}, {"start": 23.47, "end": 23.77, "word": " والصلاة", "probability": 0.89453125}, {"start": 23.77, "end": 24.09, "word": " والسلام", "probability": 0.9669596354166666}, {"start": 24.09, "end": 24.23, "word": " على", "probability": 0.72705078125}, {"start": 24.23, "end": 24.51, "word": " رسول", "probability": 0.9931640625}, {"start": 24.51, "end": 24.67, "word": " الله", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 2, "seek": 5341, "start": 26.29, "end": 53.41, "text": "أهلا و سهلا بكم يا شباب و اليوم ان شاء الله تعالى هنكمل في موضوع ال product او ال vector product و كنا بدنا المحاضرة الماضية نتكلم على ال vector product بشكل عام و على ال scalar product بشكل خاص و كانت ملخص محاضرتنا الأخيرة انه انا فعليا لما اتكلم على scalar product لل two vectors يعني لما انا بدأ اخد two vectors و اضابهم مع بعض الناتج بيكون scalar value مش هيكون عندي vector", "tokens": [10721, 3224, 15040, 4032, 8608, 3224, 15040, 4724, 24793, 35186, 13412, 3555, 16758, 4032, 45595, 20498, 16472, 13412, 16606, 21984, 37279, 6027, 7578, 8032, 1863, 24793, 1211, 8978, 3714, 2407, 11242, 45367, 2423, 1674, 1975, 2407, 2423, 8062, 1674, 4032, 9122, 8315, 47525, 8315, 9673, 5016, 46958, 25720, 9673, 46958, 10632, 8717, 2655, 4117, 19528, 15844, 2423, 8062, 1674, 4724, 8592, 28820, 6225, 10943, 4032, 15844, 2423, 39684, 1674, 4724, 8592, 28820, 16490, 33546, 4032, 25961, 2655, 3714, 1211, 9778, 9381, 3714, 5016, 46958, 43500, 8315, 16247, 9778, 48923, 16472, 3224, 1975, 8315, 6156, 3615, 20292, 995, 5296, 15042, 1975, 2655, 4117, 19528, 15844, 39684, 1674, 24976, 732, 18875, 37495, 22653, 5296, 15042, 1975, 8315, 47525, 10721, 1975, 9778, 3215, 732, 18875, 4032, 1975, 11242, 16758, 16095, 20449, 45030, 11242, 28239, 9307, 7435, 4724, 1829, 30544, 39684, 2158, 37893, 39896, 30544, 18871, 16254, 8062], "avg_logprob": -0.16702586864602978, "compression_ratio": 2.0636042402826855, "no_speech_prob": 1.2874603271484375e-05, "words": [{"start": 26.290000000000003, "end": 26.93, "word": "أهلا", "probability": 0.8575846354166666}, {"start": 26.93, "end": 27.03, "word": " و", "probability": 0.5}, {"start": 27.03, "end": 27.13, "word": " سهلا", "probability": 0.8811848958333334}, {"start": 27.13, "end": 27.33, "word": " بكم", "probability": 0.652587890625}, {"start": 27.33, "end": 27.49, "word": " يا", "probability": 0.53125}, {"start": 27.49, "end": 27.69, "word": " شباب", "probability": 0.9847005208333334}, {"start": 27.69, "end": 28.41, "word": " و", "probability": 0.2744140625}, {"start": 28.41, "end": 28.57, "word": " اليوم", "probability": 0.909423828125}, {"start": 28.57, "end": 28.69, "word": " ان", "probability": 0.6044921875}, {"start": 28.69, "end": 28.79, "word": " شاء", "probability": 0.92333984375}, {"start": 28.79, "end": 28.81, "word": " الله", "probability": 0.92919921875}, {"start": 28.81, "end": 29.09, "word": " تعالى", "probability": 0.8810221354166666}, {"start": 29.09, "end": 29.75, "word": " هنكمل", "probability": 0.9439697265625}, {"start": 29.75, "end": 29.99, "word": " في", "probability": 0.7236328125}, {"start": 29.99, "end": 30.61, "word": " موضوع", "probability": 0.98095703125}, {"start": 30.61, "end": 30.91, "word": " ال", "probability": 0.96533203125}, {"start": 30.91, "end": 31.97, "word": " product", "probability": 0.81689453125}, {"start": 31.97, "end": 32.25, "word": " او", "probability": 0.810791015625}, {"start": 32.25, "end": 32.33, "word": " ال", "probability": 0.94775390625}, {"start": 32.33, "end": 32.51, "word": " vector", "probability": 0.91162109375}, {"start": 32.51, "end": 33.05, "word": " product", "probability": 0.84619140625}, {"start": 33.05, "end": 33.71, "word": " و", "probability": 0.83740234375}, {"start": 33.71, "end": 33.95, "word": " كنا", "probability": 0.853759765625}, {"start": 33.95, "end": 34.25, "word": " بدنا", "probability": 0.7822265625}, {"start": 34.25, "end": 34.73, "word": " المحاضرة", "probability": 0.91943359375}, {"start": 34.73, "end": 35.01, "word": " الماضية", "probability": 0.7032877604166666}, {"start": 35.01, "end": 35.45, "word": " نتكلم", "probability": 0.955078125}, {"start": 35.45, "end": 35.77, "word": " على", "probability": 0.7919921875}, {"start": 35.77, "end": 36.95, "word": " ال", "probability": 0.97705078125}, {"start": 36.95, "end": 37.31, "word": " vector", "probability": 0.97607421875}, {"start": 37.31, "end": 37.85, "word": " product", "probability": 0.873046875}, {"start": 37.85, "end": 38.13, "word": " بشكل", "probability": 0.9788411458333334}, {"start": 38.13, "end": 38.47, "word": " عام", "probability": 0.99755859375}, {"start": 38.47, "end": 38.59, "word": " و", "probability": 0.982421875}, {"start": 38.59, "end": 38.77, "word": " على", "probability": 0.70458984375}, {"start": 38.77, "end": 38.97, "word": " ال", "probability": 0.97802734375}, {"start": 38.97, "end": 39.31, "word": " scalar", "probability": 0.93212890625}, {"start": 39.31, "end": 39.95, "word": " product", "probability": 0.9833984375}, {"start": 39.95, "end": 40.35, "word": " بشكل", "probability": 0.9892578125}, {"start": 40.35, "end": 40.75, "word": " خاص", "probability": 0.99560546875}, {"start": 40.75, "end": 41.41, "word": " و", "probability": 0.89697265625}, {"start": 41.41, "end": 41.67, "word": " كانت", "probability": 0.922119140625}, {"start": 41.67, "end": 42.03, "word": " ملخص", "probability": 0.9871826171875}, {"start": 42.03, "end": 42.59, "word": " محاضرتنا", "probability": 0.9548828125}, {"start": 42.59, "end": 43.01, "word": " الأخيرة", "probability": 0.95703125}, {"start": 43.01, "end": 43.85, "word": " انه", "probability": 0.832275390625}, {"start": 43.85, "end": 43.99, "word": " انا", "probability": 0.9189453125}, {"start": 43.99, "end": 44.41, "word": " فعليا", "probability": 0.9052734375}, {"start": 44.41, "end": 44.55, "word": " لما", "probability": 0.909423828125}, {"start": 44.55, "end": 44.87, "word": " اتكلم", "probability": 0.9676513671875}, {"start": 44.87, "end": 45.13, "word": " على", "probability": 0.86474609375}, {"start": 45.13, "end": 45.53, "word": " scalar", "probability": 0.951171875}, {"start": 45.53, "end": 45.99, "word": " product", "probability": 0.9765625}, {"start": 45.99, "end": 46.15, "word": " لل", "probability": 0.435791015625}, {"start": 46.15, "end": 46.29, "word": " two", "probability": 0.73046875}, {"start": 46.29, "end": 46.75, "word": " vectors", "probability": 0.95654296875}, {"start": 46.75, "end": 47.33, "word": " يعني", "probability": 0.944580078125}, {"start": 47.33, "end": 47.55, "word": " لما", "probability": 0.952880859375}, {"start": 47.55, "end": 47.69, "word": " انا", "probability": 0.948486328125}, {"start": 47.69, "end": 47.95, "word": " بدأ", "probability": 0.752685546875}, {"start": 47.95, "end": 48.13, "word": " اخد", "probability": 0.8351236979166666}, {"start": 48.13, "end": 48.27, "word": " two", "probability": 0.9453125}, {"start": 48.27, "end": 48.63, "word": " vectors", "probability": 0.96875}, {"start": 48.63, "end": 48.77, "word": " و", "probability": 0.96630859375}, {"start": 48.77, "end": 49.11, "word": " اضابهم", "probability": 0.628631591796875}, {"start": 49.11, "end": 49.29, "word": " مع", "probability": 0.98583984375}, {"start": 49.29, "end": 49.65, "word": " بعض", "probability": 0.992431640625}, {"start": 49.65, "end": 50.23, "word": " الناتج", "probability": 0.5877278645833334}, {"start": 50.23, "end": 50.61, "word": " بيكون", "probability": 0.6114095052083334}, {"start": 50.61, "end": 50.97, "word": " scalar", "probability": 0.6279296875}, {"start": 50.97, "end": 51.45, "word": " value", "probability": 0.99072265625}, {"start": 51.45, "end": 51.93, "word": " مش", "probability": 0.919921875}, {"start": 51.93, "end": 52.17, "word": " هيكون", "probability": 0.868408203125}, {"start": 52.17, "end": 52.47, "word": " عندي", "probability": 0.749267578125}, {"start": 52.47, "end": 53.41, "word": " vector", "probability": 0.95458984375}], "temperature": 1.0}, {"id": 3, "seek": 7934, "start": 54.61, "end": 79.35, "text": "و لما بيقول R ضغط ال S و ممكن تسميه احنا ضغط ال product يساوي ال magnitude تبع ال R في ال magnitude تبع ال S في كزاني الزاوية اللي بينهم فاتفقنا بشكل بسيط ان لو كان انا في عندي two vectors على ال brain هي ال R وهي ال S دي هي في ال position هذا", "tokens": [2407, 5296, 15042, 4724, 1829, 39648, 497, 48812, 17082, 9566, 2423, 318, 4032, 3714, 43020, 6055, 38251, 1829, 3224, 1975, 5016, 8315, 48812, 17082, 9566, 2423, 1674, 7251, 3794, 995, 45865, 2423, 15668, 6055, 3555, 3615, 2423, 497, 8978, 2423, 15668, 6055, 3555, 3615, 2423, 318, 8978, 9122, 11622, 7649, 1829, 6024, 110, 995, 2407, 10632, 13672, 1829, 49374, 16095, 6156, 9307, 5172, 4587, 8315, 4724, 8592, 28820, 4724, 3794, 1829, 9566, 16472, 45164, 25961, 1975, 8315, 8978, 18871, 16254, 732, 18875, 15844, 2423, 3567, 39896, 2423, 497, 37037, 1829, 2423, 318, 11778, 1829, 39896, 8978, 2423, 2535, 23758], "avg_logprob": -0.2775000008940697, "compression_ratio": 1.7327188940092166, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 54.61, "end": 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{"start": 58.17, "end": 58.63, "word": " product", "probability": 0.93994140625}, {"start": 58.63, "end": 59.91, "word": " يساوي", "probability": 0.93994140625}, {"start": 59.91, "end": 61.27, "word": " ال", "probability": 0.490234375}, {"start": 61.27, "end": 61.65, "word": " magnitude", "probability": 0.95849609375}, {"start": 61.65, "end": 61.93, "word": " تبع", "probability": 0.7482096354166666}, {"start": 61.93, "end": 62.11, "word": " ال", "probability": 0.71533203125}, {"start": 62.11, "end": 62.45, "word": " R", "probability": 0.96337890625}, {"start": 62.45, "end": 62.93, "word": " في", "probability": 0.7255859375}, {"start": 62.93, "end": 63.03, "word": " ال", "probability": 0.8662109375}, {"start": 63.03, "end": 63.39, "word": " magnitude", "probability": 0.96826171875}, {"start": 63.39, "end": 63.73, "word": " تبع", "probability": 0.9703776041666666}, {"start": 63.73, "end": 63.91, "word": " ال", "probability": 0.9736328125}, {"start": 63.91, "end": 64.27, "word": " S", "probability": 0.9892578125}, {"start": 64.27, "end": 64.85, "word": " في", "probability": 0.84375}, {"start": 64.85, "end": 65.35, "word": " كزاني", "probability": 0.8084716796875}, {"start": 65.35, "end": 65.89, "word": " الزاوية", "probability": 0.96640625}, {"start": 65.89, "end": 66.87, "word": " اللي", "probability": 0.720947265625}, {"start": 66.87, "end": 67.33, "word": " بينهم", "probability": 0.981201171875}, {"start": 67.33, "end": 68.39, "word": " فاتفقنا", "probability": 0.8560546875}, {"start": 68.39, "end": 68.93, "word": " بشكل", "probability": 0.8740234375}, {"start": 68.93, "end": 69.41, "word": " بسيط", "probability": 0.997314453125}, {"start": 69.41, "end": 69.97, "word": " ان", "probability": 0.701171875}, {"start": 69.97, "end": 71.97, "word": " لو", "probability": 0.611328125}, {"start": 71.97, "end": 72.17, "word": " كان", "probability": 0.94921875}, {"start": 72.17, "end": 72.35, "word": " انا", "probability": 0.744384765625}, {"start": 72.35, "end": 72.47, "word": " في", "probability": 0.861328125}, {"start": 72.47, "end": 72.67, "word": " عندي", "probability": 0.6312255859375}, {"start": 72.67, "end": 72.83, "word": " two", "probability": 0.810546875}, {"start": 72.83, "end": 73.31, "word": " vectors", "probability": 0.96337890625}, {"start": 73.31, "end": 73.91, "word": " على", "probability": 0.74560546875}, {"start": 73.91, "end": 74.03, "word": " ال", "probability": 0.8447265625}, {"start": 74.03, "end": 74.37, "word": " brain", "probability": 0.78369140625}, {"start": 74.37, "end": 74.73, "word": " هي", "probability": 0.693359375}, {"start": 74.73, "end": 74.91, "word": " ال", "probability": 0.9599609375}, {"start": 74.91, "end": 75.27, "word": " R", "probability": 0.95654296875}, {"start": 75.27, "end": 76.15, "word": " وهي", "probability": 0.840576171875}, {"start": 76.15, "end": 76.29, "word": " ال", "probability": 0.9765625}, {"start": 76.29, "end": 76.63, "word": " S", "probability": 0.98779296875}, {"start": 76.63, "end": 78.51, "word": " دي", "probability": 0.6019287109375}, {"start": 78.51, "end": 78.55, "word": " هي", "probability": 0.8359375}, {"start": 78.55, "end": 78.67, "word": " في", "probability": 0.85400390625}, {"start": 78.67, "end": 78.73, "word": " ال", "probability": 0.9345703125}, {"start": 78.73, "end": 78.95, "word": " position", "probability": 0.9267578125}, {"start": 78.95, "end": 79.35, "word": " هذا", "probability": 0.78857421875}], "temperature": 1.0}, {"id": 4, "seek": 8822, "start": 80.44, "end": 88.22, "text": "وين الزاوية اللي بينهم؟ وين الزاوية اللي بينهم؟ بقولنا بدك تجمع ال two tails أو ال two vectors مع بعضهم، تمام؟", "tokens": [2407, 9957, 6024, 110, 995, 2407, 10632, 13672, 1829, 49374, 16095, 22807, 4032, 9957, 6024, 110, 995, 2407, 10632, 13672, 1829, 49374, 16095, 22807, 4724, 39648, 8315, 47525, 4117, 6055, 7435, 2304, 3615, 2423, 732, 28537, 34051, 2423, 732, 18875, 20449, 45030, 11242, 16095, 12399, 46811, 10943, 22807], "avg_logprob": -0.22815688775510204, "compression_ratio": 1.5555555555555556, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 80.44, "end": 80.76, "word": "وين", "probability": 0.378173828125}, {"start": 80.76, "end": 81.16, "word": " الزاوية", "probability": 0.859375}, {"start": 81.16, "end": 81.26, "word": " اللي", "probability": 0.809326171875}, {"start": 81.26, "end": 82.5, "word": " بينهم؟", "probability": 0.87646484375}, {"start": 82.5, "end": 82.62, "word": " وين", "probability": 0.6029052734375}, {"start": 82.62, "end": 82.94, "word": " الزاوية", "probability": 0.95126953125}, {"start": 82.94, "end": 83.04, "word": " اللي", "probability": 0.989990234375}, {"start": 83.04, "end": 83.7, "word": " بينهم؟", "probability": 0.9703776041666666}, {"start": 83.7, "end": 84.04, "word": " بقولنا", "probability": 0.6092936197916666}, {"start": 84.04, "end": 84.34, "word": " بدك", "probability": 0.76708984375}, {"start": 84.34, "end": 84.74, "word": " تجمع", "probability": 0.994384765625}, {"start": 84.74, "end": 84.88, "word": " ال", "probability": 0.95263671875}, {"start": 84.88, "end": 85.04, "word": " two", "probability": 0.81689453125}, {"start": 85.04, "end": 85.66, "word": " tails", "probability": 0.75732421875}, {"start": 85.66, "end": 85.92, "word": " أو", "probability": 0.31298828125}, {"start": 85.92, "end": 86.08, "word": " ال", "probability": 0.82568359375}, {"start": 86.08, "end": 86.22, "word": " two", "probability": 0.93505859375}, {"start": 86.22, "end": 86.58, "word": " vectors", "probability": 0.96923828125}, {"start": 86.58, "end": 86.76, "word": " مع", "probability": 0.99560546875}, {"start": 86.76, "end": 87.64, "word": " بعضهم،", "probability": 0.8936767578125}, {"start": 87.64, "end": 88.22, "word": " تمام؟", "probability": 0.90576171875}], "temperature": 1.0}, {"id": 5, "seek": 11998, "start": 93.06, "end": 119.98, "text": "و نقل vector من مكانه نفس الاتجاه مش هيغير عندي ولا حاجة وبالتالي انا صرت بتكلم عن الزاوية فيتا اللى موجودة بين ال two vectors وشوفنا مع بعض ان كيف 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{"start": 111.24, "end": 111.7, "word": " بقولك", "probability": 0.58203125}, {"start": 111.7, "end": 111.84, "word": " ال", "probability": 0.2481689453125}, {"start": 111.84, "end": 112.16, "word": " cartesian", "probability": 0.59454345703125}, {"start": 112.16, "end": 112.56, "word": " vector", "probability": 0.923828125}, {"start": 112.56, "end": 112.74, "word": " انا", "probability": 0.7685546875}, {"start": 112.74, "end": 112.94, "word": " فيه", "probability": 0.859375}, {"start": 112.94, "end": 113.74, "word": " عندى", "probability": 0.783203125}, {"start": 113.74, "end": 113.96, "word": " ال", "probability": 0.74853515625}, {"start": 113.96, "end": 114.3, "word": " I", "probability": 0.7919921875}, {"start": 114.3, "end": 116.0, "word": " بيبقى", "probability": 0.59560546875}, {"start": 116.0, "end": 116.52, "word": " تساوي", "probability": 0.844482421875}, {"start": 116.52, "end": 118.86, "word": " 1", "probability": 0.1744384765625}, {"start": 118.86, "end": 119.64, "word": " 0", "probability": 0.53857421875}, {"start": 119.64, "end": 119.98, "word": " 0", "probability": 0.9658203125}], "temperature": 1.0}, {"id": 6, "seek": 15240, "start": 123.78, "end": 152.4, "text": "1,0,0 الـ J تساوي 0,1,0 و ال K تساوي 0,0,1 و كل هذه ال vectors انا باستعيد فيها عشان اعوض عن اي vector موجود على فرض ان ال R تساوي A,B,C as a vector و هذه المياهات بقدر امثلها as Cartesian vectors", "tokens": [16, 11, 15, 11, 15, 2423, 39184, 508, 6055, 3794, 995, 45865, 1958, 11, 16, 11, 15, 4032, 2423, 591, 6055, 3794, 995, 45865, 1958, 11, 15, 11, 16, 4032, 28242, 29538, 2423, 18875, 1975, 8315, 4724, 995, 14851, 3615, 25708, 8978, 11296, 6225, 8592, 7649, 1975, 3615, 2407, 11242, 18871, 1975, 1829, 8062, 3714, 29245, 23328, 15844, 6156, 43042, 16472, 2423, 497, 6055, 3794, 995, 45865, 316, 11, 33, 11, 34, 382, 257, 8062, 4032, 29538, 9673, 1829, 40294, 9307, 4724, 28543, 2288, 1975, 2304, 12984, 1211, 11296, 382, 22478, 42434, 18875], "avg_logprob": -0.2528258073837199, 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أصحابك قلتلك هييهم و اشغل فيهم هيك هو .. هو انت شوف من I .. I في K مبوشق ولا سالب؟ الأن وين تجاه ال I K؟ الجهة من I في K هيو أسود I في K .. I في K سالب .. I في K سالب .. I في K سالب .. I في K سالب .. I في K سالب .. I في K سالب .. I في K سالب .. I في K سالب .. I في K سالب .. I في K سالب .. I في K سالب .. I في K سالب .. I في K سالب .. I في K سالب .. I في K سالب .. I في K سالب .. I في K سالب .. I في K سالب .. 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"probability": 0.7275390625}, {"start": 3622.28, "end": 3622.48, "word": " يعني", "probability": 0.928955078125}, {"start": 3622.48, "end": 3623.52, "word": " ايش؟", "probability": 0.647216796875}, {"start": 3623.52, "end": 3623.7, "word": " في", "probability": 0.86962890625}, {"start": 3623.7, "end": 3624.04, "word": " الآخر", "probability": 0.984375}, {"start": 3624.04, "end": 3624.4, "word": " هي", "probability": 0.54248046875}, {"start": 3624.4, "end": 3624.72, "word": " عبارة", "probability": 0.989501953125}, {"start": 3624.72, "end": 3624.86, "word": " عن", "probability": 0.947265625}, {"start": 3624.86, "end": 3625.12, "word": " cross", "probability": 0.9169921875}, {"start": 3625.12, "end": 3625.78, "word": " product", "probability": 0.966796875}, {"start": 3625.78, "end": 3626.78, "word": " ملياش", "probability": 0.6583658854166666}, {"start": 3626.78, "end": 3627.14, "word": " علاقة", "probability": 0.9794921875}, {"start": 3627.14, "end": 3627.28, "word": " ان", "probability": 0.6484375}, {"start": 3627.28, "end": 3627.44, "word": " احنا", "probability": 0.89990234375}, {"start": 3627.44, "end": 3627.92, "word": " بمنطقة", "probability": 0.8751220703125}, {"start": 3627.92, "end": 3628.62, "word": " الجسمة", "probability": 0.7513834635416666}, {"start": 3628.62, "end": 3628.84, "word": " اللي", "probability": 0.8095703125}, {"start": 3628.84, "end": 3629.1, "word": " ندل", "probability": 0.4051920572916667}, {"start": 3629.1, "end": 3629.24, "word": " على", "probability": 0.81982421875}, {"start": 3629.24, "end": 3629.52, "word": " الطرف", "probability": 0.7276611328125}, {"start": 3629.52, "end": 3629.86, "word": " التالف", "probability": 0.9314778645833334}, {"start": 3629.86, "end": 3629.96, "word": " و", "probability": 0.90283203125}, {"start": 3629.96, "end": 3630.06, "word": " انا", "probability": 0.850830078125}, {"start": 3630.06, "end": 3630.16, "word": " راح", "probability": 0.711181640625}, {"start": 3630.16, "end": 3630.5, "word": " اضرب", "probability": 0.8165690104166666}, {"start": 3630.5, "end": 3631.0, "word": " الأنصار", "probability": 0.8565673828125}, {"start": 3631.0, "end": 3631.06, "word": " اللي", "probability": 0.934814453125}, {"start": 3631.06, "end": 3631.34, "word": " موجود", "probability": 0.9899088541666666}, {"start": 3631.34, "end": 3631.74, "word": " عندها", "probability": 0.833740234375}, {"start": 3631.74, "end": 3632.16, "word": " يعني", "probability": 0.58477783203125}, {"start": 3632.16, "end": 3632.4, "word": " ممكن", "probability": 0.990234375}, {"start": 3632.4, "end": 3632.62, "word": " نجي", "probability": 0.8318684895833334}, {"start": 3632.62, "end": 3632.7, "word": " في", "probability": 0.64892578125}, {"start": 3632.7, "end": 3632.9, "word": " اليوم", "probability": 0.971435546875}, {"start": 3632.9, "end": 3633.06, "word": " احنا", "probability": 0.9197591145833334}, {"start": 3633.06, "end": 3633.36, "word": " هنا", "probability": 0.94140625}, {"start": 3633.36, "end": 3634.04, "word": " بحيث", "probability": 0.879150390625}, {"start": 3634.04, "end": 3634.2, "word": " انه", "probability": 0.638427734375}, {"start": 3634.2, "end": 3634.74, "word": " ناخد", "probability": 0.9943033854166666}, {"start": 3634.74, "end": 3635.12, "word": " ال", "probability": 0.9736328125}, {"start": 3635.12, "end": 3635.54, "word": " areas", "probability": 0.9384765625}, {"start": 3635.54, "end": 3635.92, "word": " مش", "probability": 0.82958984375}, {"start": 3635.92, "end": 3636.12, "word": " حق", "probability": 0.5682373046875}], "temperature": 1.0}, {"id": 137, "seek": 365216, "start": 3637.54, "end": 3652.16, "text": "بناخد ال areas المرة الجاية و بناخد بعض الأمثلة كتطبيقات يعني من هى محاضرتنا المحاضرة الجاية ان شاء الله تعالى فى الموضوع الجزئية اللى دا الحساب المساحة و من ثم تطبيقات على او أمثلة على الموضوع كليته الله يطول العافية شباب", "tokens": [3555, 1863, 47283, 3215, 2423, 3179, 9673, 25720, 25724, 995, 10632, 4032, 44945, 47283, 3215, 45030, 11242, 16247, 2304, 12984, 37977, 9122, 2655, 9566, 21292, 4587, 9307, 37495, 22653, 9154, 8032, 7578, 3714, 5016, 46958, 43500, 8315, 9673, 5016, 46958, 25720, 25724, 995, 10632, 16472, 13412, 16606, 21984, 37279, 6027, 7578, 6156, 7578, 9673, 2407, 11242, 45367, 25724, 11622, 19986, 10632, 13672, 7578, 11778, 995, 21542, 3794, 16758, 9673, 3794, 39319, 3660, 4032, 9154, 38637, 2304, 6055, 9566, 21292, 4587, 9307, 15844, 1975, 2407, 5551, 2304, 12984, 37977, 15844, 9673, 2407, 11242, 45367, 9122, 20292, 47395, 21984, 7251, 9566, 12610, 18863, 31845, 10632, 13412, 3555, 16758], "avg_logprob": -0.24430490960584622, "compression_ratio": 1.9850746268656716, "no_speech_prob": 3.993511199951172e-06, "words": [{"start": 3637.54, "end": 3637.96, "word": "بناخد", "probability": 0.79803466796875}, {"start": 3637.96, "end": 3638.04, "word": " ال", "probability": 0.9716796875}, {"start": 3638.04, "end": 3638.48, "word": " areas", "probability": 0.73388671875}, {"start": 3638.48, "end": 3639.46, "word": " المرة", "probability": 0.88671875}, {"start": 3639.46, "end": 3639.96, "word": " الجاية", "probability": 0.9099934895833334}, {"start": 3639.96, "end": 3640.14, "word": " و", "probability": 0.58203125}, {"start": 3640.14, "end": 3640.48, "word": " بناخد", "probability": 0.8733723958333334}, {"start": 3640.48, "end": 3640.72, "word": " بعض", "probability": 0.91552734375}, {"start": 3640.72, "end": 3641.1, "word": " الأمثلة", "probability": 0.84375}, {"start": 3641.1, "end": 3641.9, "word": " كتطبيقات", "probability": 0.9545084635416666}, {"start": 3641.9, "end": 3642.26, "word": " يعني", "probability": 0.794189453125}, {"start": 3642.26, "end": 3642.38, "word": " من", "probability": 0.7958984375}, {"start": 3642.38, "end": 3642.48, "word": " هى", "probability": 0.59869384765625}, {"start": 3642.48, "end": 3642.92, "word": " محاضرتنا", "probability": 0.843896484375}, {"start": 3642.92, "end": 3643.3, "word": " المحاضرة", "probability": 0.96044921875}, {"start": 3643.3, "end": 3643.56, "word": " الجاية", "probability": 0.95458984375}, {"start": 3643.56, "end": 3643.62, "word": " ان", "probability": 0.71435546875}, {"start": 3643.62, "end": 3643.76, "word": " شاء", "probability": 0.966552734375}, {"start": 3643.76, "end": 3643.78, "word": " الله", "probability": 0.94921875}, {"start": 3643.78, "end": 3644.18, "word": " تعالى", "probability": 0.96630859375}, {"start": 3644.18, "end": 3644.62, "word": " فى", "probability": 0.667724609375}, {"start": 3644.62, "end": 3644.92, "word": " الموضوع", "probability": 0.924560546875}, {"start": 3644.92, "end": 3645.8, "word": " الجزئية", "probability": 0.712158203125}, {"start": 3645.8, "end": 3645.9, "word": " اللى", "probability": 0.93115234375}, {"start": 3645.9, "end": 3646.02, "word": " دا", "probability": 0.536865234375}, {"start": 3646.02, "end": 3646.46, "word": " الحساب", "probability": 0.7919108072916666}, {"start": 3646.46, "end": 3647.24, "word": " المساحة", "probability": 0.79864501953125}, {"start": 3647.24, "end": 3647.5, "word": " و", "probability": 0.92431640625}, {"start": 3647.5, "end": 3647.62, "word": " من", "probability": 0.6875}, {"start": 3647.62, "end": 3647.82, "word": " ثم", "probability": 0.902587890625}, {"start": 3647.82, "end": 3648.44, "word": " تطبيقات", "probability": 0.89853515625}, {"start": 3648.44, "end": 3648.68, "word": " على", "probability": 0.79150390625}, {"start": 3648.68, "end": 3649.82, "word": " او", "probability": 0.6796875}, {"start": 3649.82, "end": 3650.14, "word": " أمثلة", "probability": 0.8099365234375}, {"start": 3650.14, "end": 3650.28, "word": " على", "probability": 0.8466796875}, {"start": 3650.28, "end": 3650.58, "word": " الموضوع", "probability": 0.9940185546875}, {"start": 3650.58, "end": 3651.0, "word": " كليته", "probability": 0.6667887369791666}, {"start": 3651.0, "end": 3651.46, "word": " الله", "probability": 0.77392578125}, {"start": 3651.46, "end": 3651.66, "word": " يطول", "probability": 0.50927734375}, {"start": 3651.66, "end": 3651.92, "word": " العافية", "probability": 0.5501302083333334}, {"start": 3651.92, "end": 3652.16, "word": " شباب", "probability": 0.8544921875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3652.4524375, "duration_after_vad": 3414.289999999986}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/QDkXwEc4f5Y.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/QDkXwEc4f5Y.srt
new file mode 100644
index 0000000000000000000000000000000000000000..aafcc2f5f5b84bc047a726cc5df49e2d7bdf6fc0
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/QDkXwEc4f5Y.srt
@@ -0,0 +1,2291 @@
+1
+00:00:21,180 --> 00:00:23,240
+بسم الله والحمد لله والصلاة والسلام على رسول
+
+2
+00:00:23,240 --> 00:00:26,320
+الله أهلا وسهلا بالشباب،  و بتمنى لكم إن شاء الله 
+
+3
+00:00:26,320 --> 00:00:30,880
+فصل دراسي ملء النشاط والعلامات والدرجات العالية
+
+4
+00:00:30,880 --> 00:00:34,520
+إن شاء الله تبارك وتعالى، أنا أياد الشامي إن شاء
+
+5
+00:00:34,520 --> 00:00:39,660
+الله تعالى، هدرسكم مساق رياضيات للوسائط المتعددة
+
+6
+00:00:39,660 --> 00:00:43,380
+اليوم مش هنتكلم كتير في المادة، مجرد إن احنا نتعرف على
+
+7
+00:00:43,380 --> 00:00:48,480
+المادة بشكل عام، محتوى المادة، إيش المطلوب منكم 
+
+8
+00:00:48,480 --> 00:00:51,300
+والمطلوب مني، عشان إن شاء الله في نهاية الفصل ما
+
+9
+00:00:51,300 --> 00:00:55,340
+نزعلش مع بعض، وتكون علاقتنا علاقة محبة إن شاء الله
+
+10
+00:00:55,340 --> 00:01:00,820
+تبارك وتعالى كلكم 
+
+11
+00:01:00,820 --> 00:01:04,080
+سجلين المساق؟ ماشي الحاجة فيه تغيير بسيط في الشعب
+
+12
+00:01:04,080 --> 00:01:09,900
+ما اللي دخل فيها، مخرجات المساق تبعتنا بتركز
+
+13
+00:01:09,900 --> 00:01:17,470
+بالدرجة الأولى على فهم أساسي لاستخدام الرياضيات في 
+
+14
+00:01:17,470 --> 00:01:20,590
+Computer Graphics، إيش يعني Computer Graphics يا
+
+15
+00:01:20,590 --> 00:01:28,810
+شباب؟ حد عنده فكرة؟ شو يعني Computer Graphics؟
+
+16
+00:01:29,450 --> 00:01:33,330
+التصورات الحسوبية، مش .. مش تمام، بس قريبا، بتقولك مش
+
+17
+00:01:33,330 --> 00:01:36,090
+هي كده، Computer Graphics رسومات الحسوب، شو يعني
+
+18
+00:01:36,090 --> 00:01:40,450
+رسومات الحسوب؟ طب نقارب المثل، يعني رسومات الحسوب
+
+19
+00:01:40,450 --> 00:01:46,090
+بتكلمها، عبارة عن كل رسمة تمام بتنتجها باستخدام
+
+20
+00:01:46,090 --> 00:01:50,950
+الحسوب، الرسم الآن، أما بالإيد، وبنسميه احنا
+
+21
+00:01:50,950 --> 00:01:52,690
+freehand
+
+22
+00:01:54,870 --> 00:02:00,610
+الرسم الحر، بتستخدم إيدك تمام، أو في رسم هندسي تمام
+
+23
+00:02:00,610 --> 00:02:04,910
+أو بنسميه geometric draw، بتستخدم فيه قواعد هندسية 
+
+24
+00:02:04,910 --> 00:02:08,430
+على الرسم، الآن، إذا أنت بقى تمسك الماوس وتفتح
+
+25
+00:02:08,430 --> 00:02:10,930
+الرسام، وتمسك الماوس، وتبدأ ترسم زي ما بترسم
+
+26
+00:02:10,930 --> 00:02:14,050
+بالورقة، بالقلم على الورقة، هذا فريهاند ما فيش مشكلة 
+
+27
+00:02:14,050 --> 00:02:17,310
+فيه، بس أنت بتستخدم الحسوب كأداة، وأنا بعرف ناس
+
+28
+00:02:17,310 --> 00:02:20,510
+بترسم فيه، كأنها ناس بكريشة عن جد، وبيرسم، وممكن 
+
+29
+00:02:20,510 --> 00:02:25,510
+أفضل كمان، لكن احنا اليوم نتكلم في الرسومات التانية،
+
+30
+00:02:25,510 --> 00:02:29,290
+الرسومات الهندسية، أو المطبوعة، ضمن قواعد هندسية أو
+
+31
+00:02:29,290 --> 00:02:35,380
+رياضيات، من أجل الوصول إلى رسمة متقنة، كلنا بنشوف
+
+32
+00:02:35,380 --> 00:02:42,200
+الزخارف، صح؟ بلاش حتما، شفت في البيت طوب فلاحي، 
+
+33
+00:02:42,200 --> 00:02:46,660
+دُصدان، محفظة، بيت جوال، أو ما شبه، الرسمة اللي
+
+34
+00:02:46,660 --> 00:02:50,260
+موجودة، هذه على الرغم إنها معمولة بالإيد، تمام؟ إلا
+
+35
+00:02:50,260 --> 00:02:54,460
+غير إن الصورة العامة، صورة هندسية، وما انضبطت تماما
+
+36
+00:02:54,460 --> 00:02:59,580
+إلا بشغل الهندسة والرياضيات اللي انوجدت، ولو رجعت
+
+37
+00:02:59,580 --> 00:03:03,870
+للي اشتغل من البداية، هتلاقي إن في عندك دفتر رسمي
+
+38
+00:03:03,870 --> 00:03:07,750
+البياني، إذا كانت بتتذكره زمان، المربعات، يسلم تمك 
+
+39
+00:03:07,750 --> 00:03:11,930
+نية لماية، والرسمة هذه الموجودة عليهم، ثم تم نقلها 
+
+40
+00:03:11,930 --> 00:03:16,270
+للجمهور بالخيوط اللي احنا بنشوفها، فالآن احنا هدفنا 
+
+41
+00:03:16,270 --> 00:03:21,150
+من المادة بشكل أساسي، بما إن في طلاب، ما بين طلاب
+
+42
+00:03:21,150 --> 00:03:24,210
+تطوير الـ mobile، أو خلنا نقول الحوسبة المتنقلة
+
+43
+00:03:24,210 --> 00:03:28,410
+وطلاب الوسائط المتعددة، وفي كل الحالتين الرسم هذا
+
+44
+00:03:28,410 --> 00:03:32,820
+بيخدمك، طيب، معناته احنا بدنا نركز بالدرجة الأولى، و
+
+45
+00:03:32,820 --> 00:03:37,600
+هدفنا الأول إن نحاول نفهم المفاهيم، أو نحصل على فهم
+
+46
+00:03:37,600 --> 00:03:43,080
+واضح للأساسيات النظرية والتقنية، طبعا لما أتكلم 
+
+47
+00:03:43,080 --> 00:03:47,340
+على أساسيات نظرية، شباب، أساسيات نظرية بالمبدأ
+
+48
+00:03:47,340 --> 00:03:49,660
+البسيط جدا، مش واحد فيك يقول يا دكتور احنا أدبي
+
+49
+00:03:49,660 --> 00:03:52,740
+ورياضيات، ورانا ورانا، احنا ورطاني، لأ، مش ورطاني يا 
+
+50
+00:03:52,740 --> 00:03:57,220
+صاحبي، الأمر بسيط جدا إن شاء الله تمام، وهتشوف فيه
+
+51
+00:03:57,220 --> 00:04:03,130
+فائدة محترمة لمادة الرياضيات، المفروض إنك بعد كمان
+
+52
+00:04:03,130 --> 00:04:07,910
+من انتهاء المساق، تكون حصلت على ثقة عالية جدا من 
+
+53
+00:04:07,910 --> 00:04:12,190
+خلال المعرفة الرياضية اللي هتحصل عليها عشان تقدر
+
+54
+00:04:12,190 --> 00:04:15,550
+تقول والله أنا رسمت، هي ده صح أو لأ، الآن لو أنا 
+
+55
+00:04:15,550 --> 00:04:23,950
+اجيت وقلت لك في كرة هاند، وبده نرميها بزاوية مقدارها
+
+56
+00:04:23,950 --> 00:04:25,410
+five
+
+57
+00:04:28,730 --> 00:04:34,470
+وقوة مقدارها X مثلا، أو F، الكرة هذه أين بتهتجع؟
+
+58
+00:04:34,470 --> 00:04:39,570
+مجهولة، مجهولة، لأن أنا فعليا ما أعرف القانون اللي 
+
+59
+00:04:39,570 --> 00:04:43,610
+فعليا بنشتغل عليه، لكن لما أنا بدأ أخضعها لقانون
+
+60
+00:04:43,610 --> 00:04:48,290
+الرياضيات، قوة وكتلة وحجم، معناته أنا بعرف إن ها 
+
+61
+00:04:48,290 --> 00:04:53,930
+بتهتجع هنا، وحتاخد مسار الـ curve هذا، الـ curve هذا
+
+62
+00:04:53,930 --> 00:04:58,470
+عمرك شوفت animation أو فيديو .. ملف .. عفوا ..
+
+63
+00:04:58,470 --> 00:05:02,150
+فيلم .. صور ورسوم متحركة، لما بيجي برمو .. كلكوا 
+
+64
+00:05:02,150 --> 00:05:04,710
+بتتفرج على كابتن ماجد صح؟ أو اتفرجت عليها زمان
+
+65
+00:05:04,710 --> 00:05:11,270
+لما بشوف الكورة، الكورة بتتحرك ضمن مسار معك، سيبنا
+
+66
+00:05:11,270 --> 00:05:14,450
+من الحركة اللولبية والمش عارف إيش، الكلام هذا لأن 
+
+67
+00:05:14,450 --> 00:05:17,470
+هذا برضه الشغل اللي بتتحكم فيه لاحقا بالكمبيوتر 
+
+68
+00:05:17,470 --> 00:05:20,790
+لأنه بتصير تفترض المسار اللي بتمشي فيه الكورة أو
+
+69
+00:05:20,790 --> 00:05:25,970
+المقذوف هذا، ومن ثم بيصل، طيب وبالتالي هذه المعرفة
+
+70
+00:05:25,970 --> 00:05:29,530
+الأساسية اللي احنا هنكسبها، هتديك ثقة عالية جدا
+
+71
+00:05:29,530 --> 00:05:34,110
+أثناء التصميم، وأثناء الرسم، أديك مثال آخر، لو أنا 
+
+72
+00:05:34,110 --> 00:05:42,300
+افترضت إنه عندي هنا الشمس، وحضرة جنابك واقف هنا على
+
+73
+00:05:42,300 --> 00:05:52,180
+الأرض، تمكن تخمن اتجاه الظل تبعك، وطوله حسب اتجاه
+
+74
+00:05:52,180 --> 00:05:57,640
+الشمس، متفقين، معناته إذا أنا هنا، ممكن أنا ارسم الخط 
+
+75
+00:05:57,640 --> 00:06:03,320
+هذا هيك مع الأرض، الشدوه
+
+76
+00:06:03,320 --> 00:06:07,230
+تبعك هيكون هيك ولا شو رايك؟ هذا الكلام يا شباب
+
+77
+00:06:07,230 --> 00:06:10,630
+الرسم مش عشوائي، الرسم العشوائي ممكن يكون جميل في 
+
+78
+00:06:10,630 --> 00:06:14,330
+لحظة من اللحظات، لكن لما بنروح في مرحلة الانتقاد
+
+79
+00:06:14,330 --> 00:06:17,150
+وفي نقاد بدهم يقولولنا هذا الشغل مجبول ولا مش 
+
+80
+00:06:17,150 --> 00:06:20,690
+مجبول، يقولولك صف على جانب يا عم أنت ماشي الحال 
+
+81
+00:06:20,690 --> 00:06:26,010
+عندك موهبة، لكن الموهبة هذه غير منضبطة، أو غير صحيحة 
+
+82
+00:06:26,010 --> 00:06:29,190
+يعني بتسرح في الخيال أكثر من إنك أنت بتشتغل في 
+
+83
+00:06:29,190 --> 00:06:35,070
+الواقع، الموهبة هذه احنا بدنا نعززها من خلال بعض الـ 
+
+84
+00:06:35,070 --> 00:06:38,150
+Knowledge الرياضية اللي احنا متعامل معاها، وهتشوف 
+
+85
+00:06:38,150 --> 00:06:41,330
+لاحقا إن شاء الله، بغض النظر إيش كان تخصصك، هتقول 
+
+86
+00:06:41,330 --> 00:06:44,130
+الله يارحم يدي الشامي، والله كلامه كان صح، إن هذه
+
+87
+00:06:44,130 --> 00:06:48,690
+النقطة خدمتني في كذا، وهذه النقطة خدمتني في كذا، و
+
+88
+00:06:48,690 --> 00:06:52,030
+هنشوف بعض الأمثلة، وهنختبر مع بعض بعض الأمثلة
+
+89
+00:06:52,030 --> 00:06:56,750
+البسيطة اللي لها علاقة في الرياضيات في المواضيع
+
+90
+00:06:56,750 --> 00:07:01,010
+الرياضيات التطبيقية، الكتاب تبعنا الأساسي 
+
+91
+00:07:03,340 --> 00:07:07,480
+mathematics for computer graphics، الطبعة الخامسة 
+
+92
+00:07:07,480 --> 00:07:14,980
+سنة الإصدار 2017، المادة هذه للتاني مرة تدرس، تمام
+
+93
+00:07:14,980 --> 00:07:18,780
+بالشكل اللي أنا بأطرحه قاعد، السنة الماضية ما كنتش
+
+94
+00:07:18,780 --> 00:07:22,320
+النسخة دي طالعة، فاعتمدنا النسخة اللي قبلها كانت 2014
+
+95
+00:07:22,320 --> 00:07:26,440
+مجرد تغير الكتاب، احنا يا شباب أو أنا بالأخير غيرت
+
+96
+00:07:26,440 --> 00:07:30,640
+الكتاب عشان أمشي معه، أخر ما بيتكلموا في المواضيع هذه
+
+97
+00:07:30,640 --> 00:07:34,400
+عشان تظهر الأمور سهلة، وأمثلة تعزز المفهوم اللي
+
+98
+00:07:34,400 --> 00:07:38,200
+احنا بدنا إياه من ورا المادة، لكتاب هذا فيه عيب واحد 
+
+99
+00:07:38,200 --> 00:07:43,680
+محاولين يستدركوا المرة هي، لكن مش مية في المية إنه 
+
+100
+00:07:43,680 --> 00:07:47,500
+بيفقر الـ exercises، ما فيش فيه تمارين، طب إيش
+
+101
+00:07:47,500 --> 00:07:50,980
+بنساوي؟ هحاول إن أزودك بمجموعة عاملة تمارين تشتغل
+
+102
+00:07:50,980 --> 00:07:54,700
+عليها مع نهاية الـ chapter، كل فصل؟ أو لو دورت على الـ 
+
+103
+00:07:54,700 --> 00:07:57,800
+web بدل ما أنت بتفتح بتجضي ساعات على الـ facebook، وعلى 
+
+104
+00:07:57,800 --> 00:08:01,360
+الكلام الفاضي، لأ، دور إن أنا بدي أشوف مسائل في 
+
+105
+00:08:01,360 --> 00:08:04,940
+الموضوع الفلاني، وهتلاقي مواقع كتير بتزودك، وهنضربلك 
+
+106
+00:08:04,940 --> 00:08:11,460
+أمثلة إن شاء الله تعالى خلال المساق، توزيعة العلامات خلال الفصل 45
+
+107
+00:08:11,460 --> 00:08:19,280
+%، امتحان نهائي، جليلة ولا كتيرة؟ جليلة، جليلة، بخليه 
+
+108
+00:08:19,280 --> 00:08:26,190
+60%، بخليه بس هتيجي كمان شوية تقول ليه لأ، لأ، اشراك 
+
+109
+00:08:26,190 --> 00:08:30,230
+إن الأمور لما تكبر، المادة، خصوصا اللي الامتحان
+
+110
+00:08:30,230 --> 00:08:33,810
+النهائي بيغطي كل المادة من أول صفحة لآخر صفحة
+
+111
+00:08:33,810 --> 00:08:38,470
+بنوصلها طبعا، مش هنخلص كل الكتاب، احنا بناخد selected
+
+112
+00:08:38,470 --> 00:08:41,750
+topics أو chapters من الكتاب، الـ midterm عليها 30 
+
+113
+00:08:41,750 --> 00:08:45,250
+علامة، شباب، وأعمال
+
+114
+00:08:49,070 --> 00:08:56,490
+الفصل ما بين quiz أو واجب في البيت، تحلل ليه هد عليه
+
+115
+00:08:56,490 --> 00:09:00,850
+خمسة وعشرين علامة، يعني أنا بأتكلم إن في عندك خمسة
+
+116
+00:09:00,850 --> 00:09:06,350
+وعشرين علامة هدول إلك مضمونات، إذا أنت من الناس اللي
+
+117
+00:09:06,350 --> 00:09:10,590
+بتحب تحصل على العلامات جنب الفائدة، الفائدة موجودة بس 
+
+118
+00:09:10,590 --> 00:09:13,790
+بدها جهد منك عشان تتبتها، وفي نفس الوقت تحصل على
+
+119
+00:09:13,790 --> 00:09:17,230
+العلامات، وكذلك علامات الامتحان النصي، يعني مع 
+
+120
+00:09:17,230 --> 00:09:20,290
+الامتحان النصي، احنا بنكون تقريبا جايبين تلات شباتر
+
+121
+00:09:20,290 --> 00:09:23,810
+أو تلات فصول في المادة من أصل ثمانية أو تسعة، وممكن
+
+122
+00:09:23,810 --> 00:09:29,270
+عشرة، تسهيل بس في الغالب بما إنه عدد الشباتر أقل 
+
+123
+00:09:29,270 --> 00:09:33,670
+ففرصتك إن تحصل علامات أكثر، فأنت ما فيش عندك مشكلة
+
+124
+00:09:33,670 --> 00:09:37,890
+إنك تروح للامتحان النهائي وأنت ضامن 55 علامة في
+
+125
+00:09:37,890 --> 00:09:41,710
+جيبك، آسي دي، بلاش إنكم متواضعين، 50 علامة، إذا أنت
+
+126
+00:09:41,710 --> 00:09:44,930
+بدك تطير العلامات من البداية، هي مشكلة، هتصير تقول 
+
+127
+00:09:44,930 --> 00:09:47,350
+في الآخر، احنا .. أنا ما نجحتش، المادة صعبة، لأ، المادة
+
+128
+00:09:47,350 --> 00:09:51,150
+مش صعبة، وتحصيل العلامات فيها سهل إن شاء الله 
+
+129
+00:09:51,150 --> 00:09:57,800
+تعالى من المواضيع اللي هنغطيها حسب ترتيب الكتاب 
+
+130
+00:09:57,800 --> 00:10:03,320
+هنتبرق للأعداد، نتعرف على المجموعات والأعداد،
+
+131
+00:10:03,320 --> 00:10:05,980
+الأعداد الطبيعية، الأعداد الحقيقية، الأعداد المركبة
+
+132
+00:10:05,980 --> 00:10:09,600
+وكيف التحويلات ما بينهم، بعد هيك هنتقل للـAlgebra،
+
+133
+00:10:09,600 --> 00:10:14,980
+بعض المعادلات الخطية، نتعرف عليها، Geometry،
+
+134
+00:10:14,980 --> 00:10:19,780
+هتكلم عن حساب المثلثات، وبعض قواعده البسيطة،
+
+135
+00:10:19,780 --> 00:10:23,200
+الـ coordinate system، كيف أحدد النقاط، وكيف أنا بدي 
+
+136
+00:10:23,200 --> 00:10:26,930
+أرسم، وكيف بدي أعمل rotation للنقطة، وبعد ذلك أنتقل 
+
+137
+00:10:26,930 --> 00:10:31,120
+لشغلة اسمها مصفوفة الـ vectors، الرسم بتسميها vectors
+
+138
+00:10:31,120 --> 00:10:35,460
+في الرياضيات، مطلق عليها اسم المصفوفات، نفس المسميات
+
+139
+00:10:35,460 --> 00:10:39,540
+لكن فارق بسيط جدا، هتتكلم عليه في حينه، كيف ممكن أحول 
+
+141
+00:10:39,540 --> 00:10:43,520
+و كيف أعمل interpolation للـ graphics للـ objects
+
+142
+00:10:43,520 --> 00:10:46,900
+اللي عندي و كيف أرسم الـ curves و الـ patches زي ما 
+
+143
+00:10:46,900 --> 00:10:50,240
+قلنا قبل شوية و كيف أقدر أحلل الرسمة اللي موجودة 
+
+144
+00:10:50,240 --> 00:10:54,700
+عندي و كيف لما أنا بدي أرسم أو بدي أصمم كرة لما
+
+145
+00:10:54,700 --> 00:10:57,460
+أعملها render كيف تطلع الـ render زي ما أنا صممت
+
+146
+00:10:57,460 --> 00:11:04,470
+ولا ما تطلعش فيها عيوب، نشوفها إن شاء الله بالتفصيل
+
+147
+00:11:04,470 --> 00:11:08,330
+الآن يا سيدي العزيز، في عندنا جمعة من الملاحظات
+
+148
+00:11:08,330 --> 00:11:13,670
+مهمة جداً إليك، خصوصاً معظمكم سنة أولى، بدي تنتبه 
+
+149
+00:11:13,670 --> 00:11:17,830
+معايا كويس للكلام اللي أنا بقوله عشان ما تقولش و
+
+150
+00:11:17,830 --> 00:11:20,190
+الله، في الجامعة صعبين، لأ احنا.. احنا في عندنا
+
+151
+00:11:20,190 --> 00:11:23,990
+قانون و بنلتزم فيه قدر المستطاع، وبالرعيق جدر 
+
+152
+00:11:23,990 --> 00:11:27,630
+ما بنقدر، لكن في حد معين بنجافم وبنقولك والله
+
+153
+00:11:27,630 --> 00:11:31,470
+احنا مش جادري نساعدك ولا دِلْش أولها أن حسب قانون 
+
+154
+00:11:31,470 --> 00:11:35,530
+الجامعة، أنت لازم تحضر كل المحاضرات، وإذا غيابك
+
+155
+00:11:35,530 --> 00:11:40,750
+بصل ربع المحاضرات، تمام؟ ممنوع أنت تدخل الامتحان
+
+156
+00:11:40,750 --> 00:11:43,290
+النهائي، نعملك انسحاب من المساق 
+
+157
+00:11:52,650 --> 00:11:57,270
+مش هتقدر تنجح، فبدل ما أنت تأخد صفر، جانعي أربعين
+
+158
+00:11:57,270 --> 00:12:01,830
+وينزل معدلك، تمام؟ لأ، فيها رحمة فيك إن شاء الله 
+
+159
+00:12:01,830 --> 00:12:07,270
+تنسحب الامتحان، أو كأنك أنت إيش ما سجلتهوش، وهنا تبدأ
+
+160
+00:12:07,270 --> 00:12:10,750
+المشاكل، طيب إن شاء الله يا دكتور، المادة تلات ساعات 
+
+161
+00:12:10,750 --> 00:12:15,280
+خمسة وسبعين دينار حقها، طيب أنت وين كنت خلال الفترة
+
+162
+00:12:15,280 --> 00:12:19,200
+ها يا صاحبي؟ ومش كنت تأخد مصروف من والدك؟ وإيه
+
+163
+00:12:19,200 --> 00:12:21,580
+أمرك؟ وأنت بتسجل على الحزب على إنك جاي على 
+
+164
+00:12:21,580 --> 00:12:24,600
+الجامعة؟ معادل المحاضرة هنا مش في الكافتيريا 
+
+165
+00:12:24,600 --> 00:12:28,000
+وبالتالي أنا اليوم مش هاخد حضور وغياب بكل تأكيد
+
+166
+00:12:28,000 --> 00:12:30,420
+لكن المحاضرة اللي جاية، حد يكشف الحضور والغياب
+
+167
+00:12:30,420 --> 00:12:36,020
+هأقولك اتفضل واقعلي على الكشف مقابل اسمك، شغل تاني
+
+168
+00:12:36,020 --> 00:12:44,410
+ومهم جداً بالنسبة ليه، ما فيش موعد مسبق لأي quizيعني 
+
+169
+00:12:44,410 --> 00:12:49,410
+الـ quiz مفاجئ، ليش؟
+
+170
+00:12:49,410 --> 00:12:54,050
+صعبة؟ لا، مش صعبة، شوف أنا بشغل بفضل الله توراك 
+
+171
+00:12:54,050 --> 00:12:57,290
+وتعالى من الجامعة من العام.. من سنة الألفين أنا
+
+172
+00:12:57,290 --> 00:13:02,850
+بتكلم كام سنة؟ تمانت عشر سنة، جربت النمطين، إن أجي 
+
+173
+00:13:02,850 --> 00:13:08,300
+أقول للطلاب في quiz يوم كذا، تمام؟ ولما أنا أعمل الـ 
+
+174
+00:13:08,300 --> 00:13:11,640
+quiz بدون ما أخبرهم نفس العلامة، عارف ليش؟ لأن
+
+175
+00:13:11,640 --> 00:13:18,340
+المجتهد والحريص دائماً جاهز، دائماً جاهز، أنا بديك
+
+176
+00:13:18,340 --> 00:13:21,200
+تكون حريص من البداية عشان هيك أنا بقولك من الآن
+
+177
+00:13:21,200 --> 00:13:27,150
+ما فيش عندي موعد محدد للـ quiz، تلاقيني مباشرةً،
+
+178
+00:13:27,150 --> 00:13:30,350
+بداية محاضرة، غالباً بعملها في بداية المحاضرة،
+
+179
+00:13:30,350 --> 00:13:33,410
+غالباً، ليش؟ عشان ما تقولني إيش أنت والله هلقتنا في 
+
+180
+00:13:33,410 --> 00:13:36,710
+الموضوع الجديد ورحت إختبارتنا في الجديد، غالباً، 
+
+181
+00:13:36,710 --> 00:13:39,850
+بس في الآخر زي ما برجع بقولك، ما فيش موعد محدد، في 
+
+182
+00:13:39,850 --> 00:13:44,650
+مقابل هذا، إيش المطلوب منك؟ مراجعة باستمرار، تمام؟
+
+183
+00:13:44,650 --> 00:13:49,010
+25 علامة، مش جلال، حرام نضيعهم، وبالتالي غيبت عنك 
+
+184
+00:13:49,010 --> 00:13:53,850
+quiz أو ما سلمتش assignment في موعده، أيه مشكلتك؟
+
+185
+00:13:53,850 --> 00:13:57,620
+مش مشكلتي، طيب يا دكتور، يعني الصحة بيدلها تبارك 
+
+186
+00:13:57,620 --> 00:14:01,720
+وتعالى، وظروف الإنسان بيمتلكاش، عملت quiz وأنا غيبت
+
+187
+00:14:01,720 --> 00:14:05,600
+عنه، شو بده يصير فيها؟ عادة يا صاحبي أنا بأخد عدد 
+
+188
+00:14:05,600 --> 00:14:10,600
+كبير من الـ quiz وبقرر في النهاية كام quiz أتجاوز
+
+189
+00:14:10,600 --> 00:14:15,820
+عنه، يعني نفترض أخذنا سبعة، سبعة quiz باجي بطلنا والله
+
+190
+00:14:15,820 --> 00:14:19,940
+مثلاً في الـ quiz هذا، في عدد لا بقصي من الغياب 
+
+191
+00:14:20,910 --> 00:14:25,090
+تمام؟ أو ممكن أحسب لك أحسن خمس قوزات من السبعة عشان 
+
+192
+00:14:25,090 --> 00:14:28,990
+كوناش برضه أنا في جانبك وما كنش ضدك مطلقاً، لكن
+
+193
+00:14:28,990 --> 00:14:33,910
+ما ترجعنيش يوم قوز أنت فوّدت وغيبت على المحاضرة 
+
+194
+00:14:33,910 --> 00:14:37,130
+لأي سبب من الأسباب، ربنا يمن عليك وعلى أهلك وكل 
+
+195
+00:14:37,130 --> 00:14:41,450
+أحببك بالصحة والعافية، وتضلك ماشي معايا على الفصل
+
+196
+00:14:41,450 --> 00:14:43,950
+خلال الفصل هذا زي الساعة، مثل ما أنا هكون معاك إن 
+
+197
+00:14:43,950 --> 00:14:44,910
+شاء الله 
+
+198
+00:14:47,170 --> 00:14:49,470
+طبعاً هذا الكلام بنفسي بخصوص الـ quiz وفي الـ 
+
+199
+00:14:49,470 --> 00:14:52,690
+assignment هيكون الأمر أشد، لما قاعد يقول شباب 
+
+200
+00:14:52,690 --> 00:14:57,670
+تسليم يوم الأربعاء الساعة كده، هأعلمك كيف بنسلم على الـ
+
+201
+00:14:57,670 --> 00:15:00,890
+model بس يفتح الـ model الجهاز، ما سلمتش هتلاقي لحاله 
+
+202
+00:15:00,890 --> 00:15:04,530
+الـ model على الوقت اللي أنا حددت لك يا جفل، مش
+
+203
+00:15:04,530 --> 00:15:07,370
+هأستجبل من أي حد واللي بيبعت على الـ email بتروح 
+
+204
+00:15:07,370 --> 00:15:11,670
+على الـ trash، باستجبلوش، ليش أنت هتجد دي دكتور شديد؟
+
+205
+00:15:11,670 --> 00:15:17,020
+مش شديد والله، أنا بحاول أطبق نفسي ونفسك مع بعض أن 
+
+206
+00:15:17,020 --> 00:15:21,400
+نظل نمشي عشان نظل مرتاحين، علامات المساق زي ما قلت 
+
+207
+00:15:21,400 --> 00:15:25,420
+لنا التوزيع اللي شفناه قبل شوية، والمواضيع قابلة 
+
+208
+00:15:25,420 --> 00:15:29,940
+للتغيير حسب كيف الوضع الفصل يبدو يمشي إن شاء الله 
+
+209
+00:15:29,940 --> 00:15:33,000
+كمان مرة بتظل الأمور مستقرة، وأمور رماشة كويس، و
+
+210
+00:15:33,000 --> 00:15:37,600
+بنقطع كل الشبات اللي حاطينا في الخطة أو الفصول
+
+211
+00:15:37,600 --> 00:15:41,400
+اللي حاطينا في الخطة، العلامات هتكون دائماً، أي تغيير 
+
+212
+00:15:41,400 --> 00:15:46,520
+لصالحك، أي تغيير في العلامات تأكد تماماً حيكون لصالحك 
+
+213
+00:15:46,520 --> 00:15:54,020
+إن شاء الله، طيب الآن 
+
+214
+00:15:54,020 --> 00:15:58,660
+قررت تيجي بعد كل هالكلام، تيجي بدر على بداية 
+
+215
+00:15:58,660 --> 00:16:05,400
+المحاضرة، عادة محاضرتنا تسعة ونصف، هتلاقيني واقف هنا
+
+216
+00:16:05,400 --> 00:16:08,440
+تسعة ونصف وهأبدأ المحاضرة تسعة وخمسة وثلاثين
+
+217
+00:16:09,160 --> 00:16:11,840
+التأخير اليوم، أنا تعمدت بالتأخير، لأن كان المفروض
+
+218
+00:16:11,840 --> 00:16:16,760
+قاعتنا 201 تحت، تمام؟ واتأخرت كمان بزيادة كمان شوية
+
+219
+00:16:16,760 --> 00:16:19,720
+يعني طلعت من مكتب يعني تسعة ونصف، عشان أتأكد إن 
+
+220
+00:16:19,720 --> 00:16:22,900
+أكبر عدد ممكن من الشباب كلهم موجودين في القاعة، وقبل
+
+221
+00:16:22,900 --> 00:16:25,940
+ما اتكلمتوا وحاطط الإعلان، فلن احنا كمان مرة 
+
+222
+00:16:25,940 --> 00:16:29,240
+موعدنا تسعة ونصف، تسعة وخمسة وثلاثين، حد أيه شرح إن 
+
+223
+00:16:29,240 --> 00:16:34,180
+شاء الله تعالى، وبالتالي معاك خمس دقايق بس تتأخر، مش 
+
+224
+00:16:34,180 --> 00:16:39,170
+هأبرضك، لكن مش هأجاوبك لو سألتني على أي شغل أَساسِي، 
+
+225
+00:16:39,170 --> 00:16:48,590
+يا دكتور، كيف أجي؟ تمام؟ الموبايلات صامت، حقك
+
+226
+00:16:48,590 --> 00:16:53,350
+تبقى شغال، بس أنا ما بدي تزعجني برنتو، وكذلك
+
+227
+00:16:53,350 --> 00:16:56,910
+جوالي مش هتسمع رنتو إن شاء الله تبارك وتعالى، قلت
+
+228
+00:16:56,910 --> 00:17:00,510
+إن في شغلة ثانية على الجوال، يعني أحيانًا تصدر
+
+229
+00:17:00,510 --> 00:17:03,490
+نغمة، أنت حر شخصيتك والـ character تبعتك بتكون 
+
+230
+00:17:03,490 --> 00:17:09,090
+النغمة مش هي المطلوبة، يعني عفواً أنا ما بحجر عليك لكن 
+
+231
+00:17:09,090 --> 00:17:13,790
+بقولك بتدي انطباع عن صاحبها، النغمة بتدي انطباع عن
+
+232
+00:17:13,790 --> 00:17:19,270
+صاحبها، إيش ما كانت ميولك أو كده، تمام؟ الأصل اللي 
+
+233
+00:17:19,270 --> 00:17:22,370
+إنك تحافظ فيها يعني، وأنا بعرف ناس بتغير النغمة حسب
+
+234
+00:17:22,370 --> 00:17:27,210
+الـ mode، فلأ خلّي النغمة صامتة وما بدناش نسمع الغناء
+
+235
+00:17:27,210 --> 00:17:31,030
+وبلغ السكرتار يتعونك إنه أنا مشغول مع واحد اسمه 
+
+236
+00:17:31,030 --> 00:17:33,530
+يا دي الشامي هيغلبني لو راني تليفوني في المحاضرة 
+
+237
+00:17:34,230 --> 00:17:39,050
+ماشي الحال؟ لو كان في عندك أي.. أي سؤال أو أي
+
+238
+00:17:39,050 --> 00:17:43,430
+اعتراض على خطأ أنا ارتكبته أثناء الشرح، تمام؟ بتمنى 
+
+239
+00:17:43,430 --> 00:17:48,470
+عليك إنك تكونياش مهذب ولطيف وأديب زي ما احنا 
+
+240
+00:17:48,470 --> 00:17:53,270
+بنعرف علينا عنك وزي ما أهلكياش ربّوك، ما تحاولش
+
+241
+00:17:53,270 --> 00:17:57,410
+تصطدم لا معايا ولا مع أي حدا من الدكاترة، طبعاً هذه 
+
+242
+00:17:57,410 --> 00:18:01,190
+نصيحة بشكل عام، لأن ما بتعرف أنت شخصية اللي قدامك
+
+243
+00:18:01,190 --> 00:18:05,550
+لسه، خصوصاً إن أنت سنة أولى، هتتعلم إن فلان مريح و..
+
+244
+00:18:05,550 --> 00:18:10,270
+واسع ممكن يتقبل، فلان ضيق وما يرضاش يتكلم ولا كلمة، و
+
+245
+00:18:10,270 --> 00:18:14,250
+أحياناً المريح والواسع هذا كمان ظروفه الشخصية ممكن 
+
+246
+00:18:14,250 --> 00:18:19,150
+تنعكس سلباً على سلوكه في الجامعة، فما تحاول.. فلو 
+
+247
+00:18:19,150 --> 00:18:24,570
+غلط.. لو غلط حاول.. لأ، مش تتجنبه إذا في مجال إنك
+
+248
+00:18:24,570 --> 00:18:27,810
+تسأل سؤال وتكون لطيف، تخرجها، أحدثك عن حادثة أصارت 
+
+249
+00:18:27,810 --> 00:18:28,610
+معايا أنا في الماجستير 
+
+250
+00:18:32,060 --> 00:18:35,120
+الدكتور كان بيشرح علناً في مادة تبادل نظر عن كده 
+
+251
+00:18:35,120 --> 00:18:40,120
+ويحتاج لإثبات شغلة رياضية، فأثبت الدكتور في لحظة من 
+
+252
+00:18:40,120 --> 00:18:44,780
+الخطوات، أخطأ، أخطأ، وبالتالي بعد هيك بدأت إيش الأمور
+
+253
+00:18:44,780 --> 00:18:50,180
+بتروح في منحة مش صحيح، طب أنا لأنش واجبي بقول إن 
+
+254
+00:18:50,180 --> 00:18:55,290
+أنا أحاول أصحح، بس أنا ما بعرف كويس، فحاولت.. رفعت 
+
+255
+00:18:55,290 --> 00:18:58,490
+.. فكرت شوية ورفعت إيدي، بعدين جاء دكتور تفضل،
+
+256
+00:18:58,490 --> 00:19:02,190
+قلت له دكتور في بالي برهان يعني مش عارف.. مش 
+
+257
+00:19:02,190 --> 00:19:07,330
+عارف صح ولا غلط، ممكن يكون صح؟ جال يقول.. طلعت 
+
+258
+00:19:07,330 --> 00:19:09,830
+على لوحة وكتبت البرهان، كتبت البرهان صحيح مية في 
+
+259
+00:19:09,830 --> 00:19:14,210
+المية، فطلع فيه هيك من فوق لتحت، جال هيك علموك 
+
+260
+00:19:14,210 --> 00:19:20,270
+رياضيات؟ يعني لأن هو بيقول إن البرهان تبعي كان 
+
+261
+00:19:20,270 --> 00:19:27,890
+خاطئ، سكّرت ثمّي شكراً يا دكتور، وقعدت، واحد من الشباب
+
+262
+00:19:27,890 --> 00:19:32,310
+اللي كان معانا قال
+
+263
+00:19:32,310 --> 00:19:36,410
+لي يا دكتور فلان super في الرياضيات والمعيد كان 
+
+264
+00:19:36,410 --> 00:19:40,170
+في الجامعة وبيدرس مواد رياضيات مش عارف إيش، لو بتطلع
+
+265
+00:19:40,170 --> 00:19:45,390
+فيها كمان مرة بقول له، وهيك بتتعلم القلاب؟ إذا
+
+266
+00:19:45,390 --> 00:19:48,070
+انتوا سمعتوا صوتي في الـ magister، هو سمعوا بعد هيك
+
+267
+00:19:48,070 --> 00:19:53,450
+خلاص، التزمت طول الفصل، بأسمع منه وبحل حسب ما أنا 
+
+268
+00:19:53,450 --> 00:19:57,490
+إيش مقتنع، وللأسف كانت أقل المادة حصلت عليها علامات
+
+269
+00:19:57,490 --> 00:20:03,770
+87، anyway، فأنت الآن بدك دائماً تكون لابق، والنبي صلى 
+
+270
+00:20:03,770 --> 00:20:06,670
+الله عليه وسلم قال ما كان لينه في شيء أو رفقه في 
+
+271
+00:20:06,670 --> 00:20:09,530
+شيء إلا زانه، أو كما قال صلى الله عليه وسلم، وبالتالي
+
+272
+00:20:09,530 --> 00:20:13,890
+لو أنا غلطك، أنا مش ملك، عفواً أنا بشر والخطأ وارد 
+
+273
+00:20:13,890 --> 00:20:19,070
+جداً عندي، فأنت إيش دورك تصوّبني أو تقومني بشكل صحيح
+
+274
+00:20:19,070 --> 00:20:25,540
+طيب، السؤال اللي بيطرح نفسه دائماً، هل الرياضيات
+
+275
+00:20:25,540 --> 00:20:33,600
+صعبة؟ كم واحد بيقول الرياضيات صعبة؟ ما تخافش، هاه؟
+
+276
+00:20:33,600 --> 00:20:36,660
+واحد، اثنين، ثلاثة، أربعة، خمسة، ستة، كويس، كم 
+
+277
+00:20:36,660 --> 00:20:41,180
+واحد بيقول الرياضيات سهلة؟ آه، لا، أغلبية، أغلبية،
+
+278
+00:20:41,180 --> 00:20:46,080
+كويس، شوفوا يا شباب في في الرياضيات مواد حتماً صعبة 
+
+279
+00:20:47,500 --> 00:20:52,760
+حتماً أنها صعبة وبتحتاج لذهن عالي جداً، متوقع جداً 
+
+280
+00:20:52,760 --> 00:20:59,060
+عشان تقدر إيش تفهمها وتقدر تبني تصورات عليها لكن 
+
+281
+00:20:59,060 --> 00:21:03,240
+لما إحنا بنيجي نتكلم في تخصصنا هنا بنتكلم على
+
+282
+00:21:03,240 --> 00:21:09,900
+الرياضيات التطبيقية هذا أسهل ما يمكن من الرياضيات
+
+283
+00:21:09,900 --> 00:21:14,610
+عارف ليش؟ لأنه دايمًا مرتبط بشغلة أنت بتقدر تستوعبها
+
+284
+00:21:14,610 --> 00:21:17,810
+بكل سهولة بتشوفه في أرض الواقع لكن لما بتكلم على
+
+285
+00:21:17,810 --> 00:21:23,290
+الرياضيات المجردة تمام؟ زي التحليل .. التحليل
+
+286
+00:21:23,290 --> 00:21:27,070
+الرياضي أو الـ Topology مادة اسمها Topology في
+
+287
+00:21:27,070 --> 00:21:30,590
+رياضيات بدها تخيل واسع يعني بتبدأ تنجلك لـ multi
+
+288
+00:21:30,590 --> 00:21:34,790
+spaces وبدك ذهنك ومخيلتك تكون أوسع من الـ spaces
+
+289
+00:21:34,790 --> 00:21:38,010
+اللي بدك تنتقل لها عشان تستوعب الكلام اللي بيصير فحقا
+
+290
+00:21:38,010 --> 00:21:41,250
+هيكون في وجهات نظر لكن الأصل في الرياضيات
+
+291
+00:21:41,250 --> 00:21:45,470
+التطبيقية الأمر يكون سهل و under control إحنا
+
+292
+00:21:45,470 --> 00:21:51,100
+تخصصنا أو مادة هنا رياضية تطبيقية لأن كل شغلة من
+
+293
+00:21:51,100 --> 00:21:54,780
+البداية حاجة بيقول لك هذا الموضوع هيخدمك في كذا زي ما
+
+294
+00:21:54,780 --> 00:21:58,520
+قبل شوية رسمنا مثال الظل حاجة بيقول لك إن الموضوع هذا
+
+295
+00:21:58,520 --> 00:22:01,040
+بيخدمك في التصميم أو في رسمك كذا عشان الظل يكون
+
+296
+00:22:01,040 --> 00:22:04,440
+متناسب مع الشجرة ومصدر الضوء اتجاهه اللي أنت 
+
+297
+00:22:04,440 --> 00:22:14,270
+اشتغلت عليه وبالتالي مواضيع زي الـ vectors إذا إحنا
+
+298
+00:22:14,270 --> 00:22:22,630
+ما قدرناش نحطها في نظام عملي مستوعبة صعب وإذا كان
+
+299
+00:22:22,630 --> 00:22:26,250
+في حد في التنويه درس كان علمي ودرس تفاضل وتكامل
+
+300
+00:22:26,250 --> 00:22:29,510
+لما أتكلم على التكامل وكان بيحصل على شكل المخروط
+
+301
+00:22:29,510 --> 00:22:32,670
+أو على شكل القبعة المكسيكية أو ما شابه هذا الموضوع
+
+302
+00:22:32,670 --> 00:22:35,110
+أنا متأكد إن أنت ما نسيتهاش لأن أنا ما نسيتهاش من
+
+303
+00:22:35,110 --> 00:22:39,450
+جبت لك تمام؟ ليش؟ لأن الرسمة فعليًا طبيعة الدالة اللي
+
+304
+00:22:39,450 --> 00:22:42,830
+موجودة وصلت لرسمة أنا مش قادر أنساها لكن في دوال
+
+305
+00:22:42,830 --> 00:22:47,350
+حتماً بتنتسب بتتذكروا .. أو في حد بيقدر يفلّق ..
+
+306
+00:22:47,350 --> 00:22:54,210
+يشوف الفيلم هذا؟ إيش اسم الفيلم هذا؟ بازياطير؟ لأ
+
+307
+00:22:54,210 --> 00:22:59,760
+باز ياطير وهذا الـ اه Toy Story قصة دمية أو حكاية
+
+308
+00:22:59,760 --> 00:23:03,640
+دمية طبعًا أنا ما جايبه عشان نتفرج على فيلم مع سوا
+
+309
+00:23:03,640 --> 00:23:11,080
+أو مع بعض جايبة عشان نشوف الناس اللي اشتغلت على الـ
+
+310
+00:23:11,080 --> 00:23:15,160
+movie
+
+311
+00:23:15,160 --> 00:23:17,880
+نفسه جدّيش أتكلم في الرياضيات
+
+312
+00:23:20,830 --> 00:23:25,530
+الصوت مش كتير أنا هروح أمشي معك لمجموعة مفاصل في
+
+313
+00:23:25,530 --> 00:23:30,230
+الصورة طبعًا هذا واحد من الـ Pixar بيكسار تمام وكان
+
+314
+00:23:30,230 --> 00:23:33,130
+من الناس اللي اشتغلت على الـ animation وعماله بيذكر
+
+315
+00:23:33,130 --> 00:23:36,530
+بيقول بتعرف الصورة هذه اللي هي بتدور حواليها قصة
+
+316
+00:23:36,530 --> 00:23:40,730
+الفيلم بيجي بيقول إحنا شغل كلّيات وكان رياضيات
+
+317
+00:23:45,180 --> 00:23:49,220
+coordinate geometry ما فيش شغلة عينينا كذا بتتحرك أو
+
+318
+00:23:49,220 --> 00:23:56,600
+بترسم إلا غير ضمن قياس دقيق طيب أتكلم على الـ
+
+319
+00:23:56,600 --> 00:23:59,480
+geometry يعني الآن بتتكلم على الـ geometry بتتكلم
+
+320
+00:23:59,480 --> 00:24:03,660
+على أبعاد الشّباب طول وارتفاع وسمك إلى آخر حسب الـ
+
+321
+00:24:03,660 --> 00:24:09,140
+object اللي موجود عندي هنا طيب بعد هيك جال إحنا
+
+322
+00:24:09,140 --> 00:24:12,600
+انتقلنا بعد ما صممنا الأشياء بحيث أنها تكون
+
+323
+00:24:12,600 --> 00:24:15,800
+متناسبة كلها مع بعضها واللي شاهد فيكم الفيلم
+
+324
+00:24:15,800 --> 00:24:22,360
+تمام؟ فعليًا شاف حجم الدمية مقارنة بالقفل صاحب
+
+325
+00:24:22,360 --> 00:24:27,140
+الدمية لما كان بيحملها وبيمشي فيها، مصبوط؟ لو دقّقت
+
+326
+00:24:27,140 --> 00:24:32,060
+أنت في اللقطة هذه عرفت بمعنى الـ .. اللهم صلوا على
+
+327
+00:24:32,060 --> 00:24:36,080
+السيد محمد معرض النسبة الحقيقية للدمية للإنسان و
+
+328
+00:24:36,080 --> 00:24:39,200
+لو تخيلت أي قفل في الحارة أو عندك في البيت و ماسك
+
+329
+00:24:39,200 --> 00:24:43,280
+الدم فعالين هتلاحظوا تقريبًا نفس النسبة اللي موجودة
+
+330
+00:24:43,280 --> 00:24:47,100
+ما بين الاتنين طبعًا هو بيقول بيكسار طبعًا بتقول هاي
+
+331
+00:24:47,100 --> 00:24:51,580
+الـ designer تبعنا اللي كان بيشتغل على الـ .. على الـ
+
+332
+00:24:51,580 --> 00:24:55,340
+movies واشتغلوا على Nemo Finding Nemo
+
+333
+00:24:58,630 --> 00:25:03,490
+هل تتذكرون؟ جامعة المتوحشين؟ جامعة المتوحشين، هذا
+
+334
+00:25:03,490 --> 00:25:07,650
+أنا مش فاكر الشّوء، أنا أو إنكو ما شوفتهوش anyway بعد
+
+335
+00:25:07,650 --> 00:25:12,490
+هيك بدأ يتكلم إن إحنا انتقلنا لمرحلة تانية، هيلاحظ
+
+336
+00:25:12,490 --> 00:25:17,130
+إن هو جايب شغلة في إيده هان، ويقول هي الكف، عملنا
+
+337
+00:25:17,130 --> 00:25:20,610
+لها design وصورناها وبدأنا إيش لما بدنا نحرك كل
+
+338
+00:25:20,610 --> 00:25:21,550
+شغلة بسيطة فيها
+
+339
+00:25:24,570 --> 00:25:27,750
+قال لك لو أنا بدي مسافة، لو كنت بدي شغلة يعني الآن
+
+340
+00:25:27,750 --> 00:25:33,910
+لما الولد رفع الدمية من إيدها الدمية من الجماش،
+
+341
+00:25:33,910 --> 00:25:37,430
+إيش الأصل اللي بيصير فيها؟ تتدّلى، مظبوط ولا لأ؟
+
+342
+00:25:37,430 --> 00:25:40,790
+فأنت رفعت شغلة، أنت تخيّل أنت رفعتها من الإيد فهي
+
+343
+00:25:40,790 --> 00:25:45,030
+حاطمة ليش؟ وكلّ ذاته كان موجود حسب الحساب الرياضيات
+
+344
+00:25:45,030 --> 00:25:49,330
+التطبيقية البسيطة طبعًا هنا في شغلة سبقتك فيها أنا
+
+345
+00:25:49,330 --> 00:25:52,330
+هنا لما أتكلم على مجموعة من المصطلحات
+
+346
+00:25:55,060 --> 00:26:00,480
+بتكلم فيها على الـ .. برضه في الـ Geometry بالسمع
+
+347
+00:26:00,480 --> 00:26:04,440
+Scale و Rotation و Transformation لأن جدّيش تعمل
+
+348
+00:26:04,440 --> 00:26:10,240
+zoom الآن أديك مثال آخر لو تخيّلنا أنا هنا وبطلع
+
+349
+00:26:10,240 --> 00:26:16,330
+باتجاه الباب مدى الرؤية تبع جدّيش ارتفاع الشّباب؟ أنا
+
+350
+00:26:16,330 --> 00:26:20,190
+شايف الباب من تحت والسّجن، نظرة واحدة، مصبوط؟ طب لو
+
+351
+00:26:20,190 --> 00:26:24,570
+أرجعت أكثر للآخر، الأصل بيصير مدى الرؤية تبع
+
+352
+00:26:24,570 --> 00:26:29,630
+بين قوسين، لو أنا تخيّلت إن هذه هي الكاميرا، هاي حد
+
+353
+00:26:29,630 --> 00:26:38,190
+الكاميرا، تمام؟ هان، طب هان؟ هتكون أوسع مصبوط؟ وهذا
+
+354
+00:26:38,190 --> 00:26:40,770
+الكلام لما بتجرب الكاميرا وبتبعد عن الـ object في
+
+355
+00:26:40,770 --> 00:26:44,230
+الأفلام الـ animation واضح جدًا استخدامه دائمًا لما
+
+356
+00:26:44,230 --> 00:26:46,990
+بيجيبوا مشهدًا مثلًا بين الـ Nemo والقرش في البحر
+
+357
+00:26:46,990 --> 00:26:50,430
+بيجيبوا من بعيد ولما بيقرب من فم القرش بتحس إن
+
+358
+00:26:50,430 --> 00:26:54,750
+فم القرش صار أشبه بحجم الشاشة هذه الـ animation أو الـ
+
+359
+00:26:54,750 --> 00:26:58,950
+scaling هذا لو ما كانش بشكل صحيح بتصير الـ movie out
+
+360
+00:26:58,950 --> 00:27:02,550
+of normal life برا الحياة الحقيقية وبالتالي بيفقد
+
+361
+00:27:02,550 --> 00:27:06,970
+هذه الأفلام اكتسبت شهرتها الآن كلّ Animation فيها
+
+362
+00:27:06,970 --> 00:27:10,750
+مضبوطة قاعدة رياضية صحيحة 100% وهنشوف كمان شوية
+
+363
+00:27:10,750 --> 00:27:15,390
+مجموعة من الأمثلة اللي بنشتغل عليها طيب شوف واحدة
+
+364
+00:27:15,390 --> 00:27:20,070
+من التطبيقات البسيطة أنت إيش شايف؟ شايف الظلال
+
+365
+00:27:20,070 --> 00:27:23,850
+قاعدة بتترقص، مصبوط ولا لأ؟ الظلال هذه عبارة
+
+366
+00:27:23,850 --> 00:27:26,650
+لمزهريتين أو زهريتين موجودات على الطاولة لكن اللي
+
+367
+00:27:26,650 --> 00:27:32,530
+بتحرك مصدر الضوء لما بجرب الضوء منهم بتشتد الإضاءة
+
+368
+00:27:32,530 --> 00:27:36,990
+بشكل معين وواضح إن الضوء بيتحرك بحركة دورانية فالآن
+
+369
+00:27:36,990 --> 00:27:39,930
+على الرغم إن الـ object هذه أو الأشياء هذه ثابتة
+
+370
+00:27:39,930 --> 00:27:45,170
+إلا غير إن الظلال تبعها صارت وكأنها بتتحرك أو
+
+371
+00:27:45,170 --> 00:27:49,650
+بتلف حركة دورانية هذا الكلام مستحيل ينضبط بدون
+
+372
+00:27:49,650 --> 00:27:57,410
+ما تطبّق عليه قواعد رياضيات في موضوع الدوران أو
+
+373
+00:27:57,410 --> 00:28:00,980
+الالتفاف، عندي الكثير من الوقت أجيب أسماء
+
+374
+00:28:00,980 --> 00:28:05,860
+أفلام هتقول والله دكتورنا هذا مش لطّف حذّرتوا Matrix؟
+
+375
+00:28:05,860 --> 00:28:12,920
+تمام؟ تمام من أحلى الشغلات أو من أجمل الشغلات اللي
+
+376
+00:28:12,920 --> 00:28:17,360
+ظهرت في فيلم Matrix الدوامة الهوائية اللي كانت
+
+377
+00:28:17,360 --> 00:28:22,000
+بتظهر خلف الرصاصات تمام؟
+
+378
+00:28:22,000 --> 00:28:27,220
+صوتها صوت وحجم الدوامة من لحظة الإنطلاق لحدّ وصول
+
+379
+00:28:27,220 --> 00:28:33,000
+الهدف تلاحظ إن الدوامة بتبدأ تطلع من فوهة المسدس أو
+
+380
+00:28:33,000 --> 00:28:37,300
+البندقية وبعد هيك بتبدأ تتحرك الدوامة ورا الرصاصة
+
+381
+00:28:37,300 --> 00:28:42,040
+تكون عاملة زي المخروط بغض
+
+382
+00:28:42,040 --> 00:28:45,960
+النظر بس في الآخر تحسها فعليًا الدوامة موجودة ولما
+
+383
+00:28:45,960 --> 00:28:50,160
+بيجيب لك حركة الرصاصة اللولابية فعليًا كانت عاملة
+
+384
+00:28:50,160 --> 00:28:55,490
+simulation حقيقي لموضوع الرصاصة بغض النظر عن إنه
+
+385
+00:28:55,490 --> 00:28:58,210
+فعليًا كان خيال علمي، أو خيال، خلّنا بلاش نقول
+
+386
+00:28:58,210 --> 00:29:01,390
+خيال علمي، خيال، إلا غير إنه فيه بعض الشغلات اللي
+
+387
+00:29:01,390 --> 00:29:04,650
+نجح فيها الفيلم ودّتك، شباب، ادري بالك الشغلات
+
+388
+00:29:04,650 --> 00:29:07,810
+البسيطة اللي زي Hi، هم اللي بيركزوا عليها في لحظة
+
+389
+00:29:07,810 --> 00:29:12,310
+الدعاية، لأن الناس دائمًا، دائمًا، بتحب تروح للشغل
+
+390
+00:29:12,310 --> 00:29:15,430
+الأقرب لحياتها ولحقيقتها، للحقيقة اللي موجودة
+
+391
+00:29:15,430 --> 00:29:19,920
+فيها، الآن لو تخيّل إن أنا في عندي طيارة، في الجوّ و
+
+392
+00:29:19,920 --> 00:29:23,920
+أثناء الاستعراضات العسكرية الطيران بنفّخ بعض
+
+393
+00:29:23,920 --> 00:29:30,400
+الحركات البهلوانية بنسميها تمام؟ تخيّل إن هذه طيارة
+
+394
+00:29:30,400 --> 00:29:36,800
+كم اتجاه ممكن يتلف؟ واحد اثنين يعني إيه لو أجينا وات
+
+395
+00:29:36,800 --> 00:29:40,300
+تكلمنا على المحاور؟
+
+396
+00:29:40,300 --> 00:29:48,120
+هذه X وهذه Y وهاي Z ما فيش مجال غير نرسمهم على له
+
+397
+00:29:48,120 --> 00:29:54,940
+الحكت، مظبوط؟ كم دوران بتقدر تلف الطيارة؟ هاي كفّة
+
+398
+00:29:54,940 --> 00:30:01,360
+إيدي افترض إنّها، هاي بتقدر تلف هيك؟ مستحيل،
+
+399
+00:30:01,360 --> 00:30:05,880
+مستحيل، ليش؟ لأنّه إذا لفت هيك، معناته إنّك تغيّر
+
+400
+00:30:05,880 --> 00:30:11,320
+اتجاه قوة الدفع تبعها، تمام؟ معنى إنّها هتنكسر
+
+401
+00:30:11,320 --> 00:30:14,820
+تنكسر الـ body تبعها لأنّ هي أما لها طيارة نتكلم
+
+402
+00:30:14,820 --> 00:30:18,000
+مثلًا على الـ F12 على سبيل المثال تتحرك أسرع من
+
+403
+00:30:18,000 --> 00:30:22,220
+الضوء أعفر أسرع من الصوت تتحرك بأسرع من الصوت فلما
+
+404
+00:30:22,220 --> 00:30:28,320
+بدها الـ TJ تجلب هتنكسر حتماً لأنّ السرعة بتتدفع ورا
+
+405
+00:30:29,400 --> 00:30:32,620
+هتكون قوية جدًا وبالتالي الـ craft هتكسر وبالتالي
+
+406
+00:30:32,620 --> 00:30:35,880
+مستحيل تشوف rotation على الرغم إن كل أهل العلم
+
+407
+00:30:35,880 --> 00:30:40,020
+بيقولوا إن أيّ object بيقدر يدور في أيّ بعد من
+
+408
+00:30:40,020 --> 00:30:45,060
+الأبعاد الثلاثة اللي بدك إياها يمين ويسار الأمام و
+
+409
+00:30:45,060 --> 00:30:49,500
+الخلف أو بالزاوية حتى مش مشكلة زي ما لو أنا افترضت
+
+410
+00:30:49,500 --> 00:30:52,320
+إنّ هي الجوال ما فيش مشكلة إنّه يعمل rotation لليمين
+
+411
+00:30:52,320 --> 00:30:56,100
+للأمام أو الخلف ما فيش مشكلة إنّه يعمل rotation يمين
+
+412
+00:30:56,100 --> 00:30:59,360
+أو يسار وكذلك لو فكرت إن أنا أمسكه من الزوايا هيك
+
+413
+00:30:59,360 --> 00:31:03,200
+يلف rotation مظبوط على أيّ اتجاه ما فيش فيه مشكلة
+
+414
+00:31:03,200 --> 00:31:06,880
+لكن عند الـcraft وبعض الشغلات الحقيقية هذه أو
+
+415
+00:31:06,880 --> 00:31:11,060
+الـcritical مش هتصبق معانا الدوران هذه المحاور
+
+416
+00:31:11,060 --> 00:31:17,410
+هنتعرف عليها وعلى مسمياتها عندش لما نتكلم لهالـ
+
+417
+00:31:17,410 --> 00:31:19,870
+transformation أو الـ rotation على الـ objects اللي
+
+418
+00:31:19,870 --> 00:31:28,210
+موجودة عندها أخينا بيلعب سلة قاعد طيب
+
+419
+00:31:28,210 --> 00:31:33,370
+الـ curve أيوة
+
+420
+00:31:33,370 --> 00:31:39,730
+الحركة
+
+421
+00:31:39,730 --> 00:31:45,780
+هاد ايش ضبطها؟ الـ designer بكل بساطة بكل بساطة أنت 
+
+422
+00:31:45,780 --> 00:31:49,440
+بتحط ايش الـ curve اللي بتتحرك عليه الـ object اللي
+
+423
+00:31:49,440 --> 00:31:53,420
+موجود عندك لو أنا اجيت في المكان هذا أمسكت كرة
+
+424
+00:31:53,420 --> 00:31:58,540
+أمسكت كرة و خبطتها في الأرض باتجاه بحيث أنّهَا 
+
+425
+00:31:58,540 --> 00:32:05,300
+تتَبَحْرَش للأمام السؤال الأول أول ارتدادّة لها هتكون
+
+426
+00:32:06,130 --> 00:32:11,670
+أعلى ارتدادّة تمام اللي بعدها أجل وبناء على قوّة
+
+427
+00:32:11,670 --> 00:32:14,150
+الارتدادّة الجوس اللي انصنع اللي هي المسافة اللي
+
+428
+00:32:14,150 --> 00:32:19,450
+قطعتها هتتغير لحد ما تصل لمرحلة في المنطقة هذه في 
+
+429
+00:32:19,450 --> 00:32:22,270
+الأرض وبتصير بعد هيك تثبت الكورة في مكانها هذا
+
+430
+00:32:22,270 --> 00:32:25,730
+الكلام لما أنت بدّك تعكسه على تصميم الـ animation
+
+431
+00:32:25,730 --> 00:32:31,090
+لازم تكون اشتغلت ضمن معادلة زي هيك وإلّا بتروح واحد
+
+432
+00:32:31,090 --> 00:32:33,790
+يقول طب يعني دكتور أنا بدّك توب المعادلة لأ يا
+
+433
+00:32:33,790 --> 00:32:37,120
+صاحبي، أحنا هادول قاعدين بنوّهلك للمعادلة تهدّي لأنّ
+
+434
+00:32:37,120 --> 00:32:41,620
+معظم برامج التصميم تمام؟ بتقول لك اتفضل هي المعادلة 
+
+435
+00:32:41,620 --> 00:32:46,340
+هي موجودة بس حدّد للـ object وبعديها بتعين أنت إيش
+
+436
+00:32:46,340 --> 00:32:52,500
+الحركة الموجودة أخينا هادك نطّ من قيارة أو حدّ عزيزي
+
+437
+00:32:52,500 --> 00:32:57,960
+مدفع تقريبا نفس شكل الكورة اللي حكينا عليها الآن
+
+438
+00:32:57,960 --> 00:33:01,600
+بس طبعًا واقع البشر غير هيك ولا شو رأيك؟
+
+439
+00:33:05,380 --> 00:33:13,360
+شو هذه؟ نقطف ميّة فيها design؟ فيها تصميم؟ أه فيها
+
+440
+00:33:13,360 --> 00:33:19,560
+تصميم فيها رياضيات؟ فيها رياضيات في حدّ بيقدر
+
+441
+00:33:19,560 --> 00:33:21,760
+يقول لي إيش المعادلات اللي ممكن تكون مستخدمة؟
+
+442
+00:33:27,290 --> 00:33:31,130
+الآن بسم الله بقول كالتالي ها قطرة الميّة بتنزل في 
+
+443
+00:33:31,130 --> 00:33:36,750
+الميّة تمام؟ بما أنّ سطح الميّة متماسك ضمن قوّة معينة
+
+444
+00:33:36,750 --> 00:33:40,550
+جزيئات الميّة متماسكة القطرة هي شو تساوي؟ بتضغط
+
+445
+00:33:40,550 --> 00:33:44,370
+بتضغط بتضغط تسحب سطح الميّة معاها لجوا بعد هيك 
+
+446
+00:33:44,370 --> 00:33:48,750
+السطح بيبطل متحمل جوة نقطة الميّة هاي فاش بيساوي؟
+
+447
+00:33:48,750 --> 00:33:53,730
+بيسيبها، بتسيبها، فيبرد تدّ الصطحى بتطريش ثاني للأعلى
+
+448
+00:33:53,730 --> 00:33:58,690
+لاحظوا الداخل والخارج فهذا عمل الاهتزاز اللي صار 
+
+449
+00:33:58,690 --> 00:34:01,650
+على الميّة طب الاهتزاز كيف صار؟ صار باتجاهه التاني
+
+450
+00:34:01,650 --> 00:34:06,570
+لأ؟ لأ صار في شكل دائرة وبدأ .. واللي بيروح على
+
+451
+00:34:06,570 --> 00:34:09,110
+بحر أو على بركة و برمي حجر بشوفه بعينه هذا برضه
+
+452
+00:34:09,110 --> 00:34:13,370
+الكلام هذه المعادلة كلّنا بنعرفها معادلة الـSin
+
+453
+00:34:13,370 --> 00:34:19,270
+والـCos جيب الزاوية وجيب تمام الزاوية تمام؟ هي اللي 
+
+454
+00:34:19,270 --> 00:34:24,710
+بترسم الـ curve أو الدوائر هذه بدونهم مستحيل تقدر
+
+455
+00:34:24,710 --> 00:34:28,530
+ترتبط الدوائر هاي بالشكل هذا لأنّ لو أنت فكرت تحطّ
+
+456
+00:34:28,530 --> 00:34:34,330
+الدوائر صغيرة في داخل بعضها وتكبّر شويّة شويّة ممكن
+
+457
+00:34:34,330 --> 00:34:37,690
+تكون حجم الدوائر منطقي لكن الانتقال من دائرة
+
+458
+00:34:37,690 --> 00:34:43,630
+لتانية مش انتقال سلس هتحسّ أنّ في إيش جطع فاللي
+
+459
+00:34:43,630 --> 00:34:47,750
+بيحكم أنّ أحنا بنعرف الـ sign هي
+
+460
+00:34:49,260 --> 00:34:52,900
+هي فعليًا موجة والـ cosine  أكسها وبالتالي تكرارها
+
+461
+00:34:52,900 --> 00:34:57,340
+هو اللي بتحكم طيب بعد فترة لو أنا افترض أنّ الدارب
+
+462
+00:34:57,340 --> 00:35:02,160
+تكبر لها فعليًا هتروح الدارب هتموت الموجة اللي صارت 
+
+463
+00:35:02,160 --> 00:35:06,080
+هتنتهي ليش؟ لأنّ مقاومة الميّة كلّ هذه التحديدات
+
+464
+00:35:06,080 --> 00:35:13,800
+الشباب بتشغلها بالكمبيوتر نصيحة
+
+465
+00:35:16,730 --> 00:35:23,710
+عمرك ما تقول أنّ الشغل حظّ خصوصًا فيما يتعلّق في موضوع
+
+466
+00:35:23,710 --> 00:35:31,650
+الدراسة والعلم الشغل اجتهاد عباس العقّاد تمام يسمّونه
+
+467
+00:35:31,650 --> 00:35:36,730
+عبقريّ من عباقرة العرب بيقول أنّ العبقرية العبقرية
+
+468
+00:35:37,790 --> 00:35:44,250
+اجتهاد 99% منها اجتهاد أو 90% منها اجتهاد و 10%
+
+469
+00:35:44,250 --> 00:35:50,070
+منها هبة من الله تبارك وتعالى تخيّل و بيقول الناس 
+
+470
+00:35:50,070 --> 00:35:55,170
+اللي .. الناس اللي بيشتغلوا في التنمية البشرية أنّ
+
+471
+00:35:55,170 --> 00:36:01,870
+بالاجتهاد ترقى إلى مراكز أو مراكز المتميزين و
+
+472
+00:36:01,870 --> 00:36:05,350
+العلماء وبتنفّسهم وممكن تصير أفضل منهم واحد ذكيّ
+
+473
+00:36:05,350 --> 00:36:10,830
+لكن ما بحبش يدرس، يأكد تمامًا جدّا بدّه يكون ذكاءه
+
+474
+00:36:10,830 --> 00:36:15,990
+عالي بدون الدراسة والمتابعة مش هيقدر يجيب كلّ شيء
+
+475
+00:36:15,990 --> 00:36:22,210
+لكن واحد زي حالاتي عادي بالاجتهاد كنت بجيب أش أعلى 
+
+476
+00:36:22,210 --> 00:36:26,810
+درجات ممكنة عشان هيك مع قليل من الحفظ، أبوين الحفظ
+
+477
+00:36:26,810 --> 00:36:29,810
+هذا أو من وين بتجيل منّا من الله تعالى علينا فيك
+
+478
+00:36:29,810 --> 00:36:33,550
+شغلة لما تقدر تتوجّع أنّ أياد الشامي هيجيبك سؤال في 
+
+479
+00:36:33,550 --> 00:36:37,380
+الموضوع الفلاني هي ذكر منّك أنّ أنت قدرت تحدّد أنّ
+
+480
+00:36:37,380 --> 00:36:41,120
+والله ايه، أحدّد أنّ ممكن يسألني إيش هتمنى من الله
+
+481
+00:36:41,120 --> 00:36:44,520
+تبارك وتعالى الهمّك إياه عشان أنت تركز عليك مواضيع
+
+482
+00:36:44,520 --> 00:36:50,960
+أكثر من غيرها تكون فعليًا تخمينك وظنّك وافق الامتحان
+
+483
+00:36:50,960 --> 00:36:55,700
+الواقعي اللي موجود عندها هذا اللي عند اليوم فيما 
+
+484
+00:36:55,700 --> 00:37:00,120
+يخصّ مقدّم يعني للمادة شو رأيكم في المادة؟ الآن بدّي
+
+485
+00:37:00,120 --> 00:37:03,280
+أسمع منّك شو رأيك في المادة؟ وإيش بتتوقّع منها؟
+
+486
+00:37:13,650 --> 00:37:17,170
+الذهن بالمناسبة هذا صفة الناس اللي بتشتغل في 
+
+487
+00:37:17,170 --> 00:37:22,370
+الكمبيوتر لازم ذهنك يكون مفتّح باستمرار طول ما أنت 
+
+488
+00:37:22,370 --> 00:37:25,390
+بتبرّنش طول ما أنت بتعمل design طول ما أنت بتشتغل
+
+489
+00:37:25,390 --> 00:37:28,010
+لازم غير الشباب
+
+490
+00:37:31,460 --> 00:37:36,140
+أه، الآن سمّينا بسأل مادة زي هذه اسمها الرياضيات 
+
+491
+00:37:36,140 --> 00:37:39,640
+for computer للوسائط المتعددة بالعربي أو لرسومات 
+
+492
+00:37:39,640 --> 00:37:42,900
+الحاسوب، وين بتفيدنا؟ صاحبي أنت الآن في عندك مجموعة
+
+493
+00:37:42,900 --> 00:37:48,480
+من المواد، واحدة اسمها التجربة المستخدم للهواتف 
+
+494
+00:37:48,480 --> 00:37:53,060
+الذكية، مادة تصميم بتتكلم عن UX UI، بتتكلم إنّ كيف
+
+495
+00:37:53,060 --> 00:37:57,790
+أنت بدّك تعمل واجهة تتناسب مع المستخدم تبقى على 
+
+496
+00:37:57,790 --> 00:38:00,710
+خبرته في التعامل الآن الواجهة أنت ما بتأكدش تقولي
+
+497
+00:38:00,710 --> 00:38:04,250
+والله أنا هاي البرنامج تبعي هاي شاشة الـ mobile بدّه
+
+498
+00:38:04,250 --> 00:38:07,890
+يتجسّم أنّ مثلًا في عندي شاشة رئيسية فوق في عندي تلات
+
+499
+00:38:07,890 --> 00:38:14,910
+مفاتيح الآن الرسمة هذه الأصل لما ترسمها بدّك ترسمها
+
+500
+00:38:14,910 --> 00:38:18,330
+ضمن scale معيّن نسبة وتناسب ما بين الـ buttons وحجم
+
+501
+00:38:18,330 --> 00:38:22,700
+الشاشة والمفاتيح ولو خصوصًا إذا أنا كان الـ target
+
+502
+00:38:22,700 --> 00:38:30,080
+تبعي أكثر من جهاز يعني J5 J3 و J1 مثلًا الأحجام
+
+503
+00:38:30,080 --> 00:38:35,040
+الشاشة مختلفة هل بتقدر تحطّ قيمة ثابتة للـ .. لأ
+
+504
+00:38:35,040 --> 00:38:39,880
+فالآن أنت بتصير تعتمد على scale نسبة، هذه واحدة
+
+505
+00:38:39,880 --> 00:38:44,080
+اتنين في عندك مواد اسمها برمجة ألعاب الهواتف 
+
+506
+00:38:44,080 --> 00:38:48,540
+الذكية برمجة الألعاب أبسطها لو أحنا نتخيّل إنّه برضه
+
+507
+00:38:48,540 --> 00:38:51,740
+هي الشاشة بتذكرها اللعبة هاي اللي فيها مجموعة من
+
+508
+00:38:51,740 --> 00:38:57,140
+الأحجار مصفوفة فوق وفي عندك كرة تسقط على لوحها و
+
+509
+00:38:57,140 --> 00:39:03,300
+بدّها ترتدّ عشان تكسرهم هدول Geometry هندسة أو حساب 
+
+510
+00:39:03,300 --> 00:39:09,270
+مثلّثات بالدرجة الأولى فأنت عشان تقدّر تسوّبها بدّك
+
+511
+00:39:09,270 --> 00:39:15,310
+تعمل ارتداد، مظبوط؟ القوّة بيحلّلها، والتحليل عشان
+
+512
+00:39:15,310 --> 00:39:18,810
+يكون صحّ لازم تكون فاهمهاش رياضيات، فحتماً هتلاقيها
+
+513
+00:39:18,810 --> 00:39:21,470
+موجودة إن شاء الله تبارك وتعالى كلّ ما تقدّمت أكثر
+
+514
+00:39:21,470 --> 00:39:25,190
+في المادة أو في التخصص، أه شباب غيّروا؟ responsive
+
+515
+00:39:25,190 --> 00:39:30,320
+screen صحيح الاسلوب اللي بقول كمان في الـ web على
+
+516
+00:39:30,320 --> 00:39:34,540
+نمط الـ mobile هان اللي هي الشاشات المستجيبة
+
+517
+00:39:34,540 --> 00:39:37,700
+بنسمّيها أو responsive screen أنّ أنا فعليًا الشاشة
+
+518
+00:39:37,700 --> 00:39:41,080
+بتتغيّر ممكن أعرض على laptop ممكن أعرض على شاشة 
+
+519
+00:39:41,080 --> 00:39:43,740
+mobile ممكن أعرض على tablet ممكن أعرض على شاشة
+
+520
+00:39:43,740 --> 00:39:48,780
+أربعين بوصة فالأصل أنّ الشاشة أو الـ design تبعي كون
+
+521
+00:39:48,780 --> 00:39:51,980
+قابل للتغيير وهذا ما بيصير بأيّ حالة من الأحوال إلّا
+
+522
+00:39:51,980 --> 00:39:55,900
+لو اعتمد على النسب ما بين العناصر الموجودة والشاشة
+
+523
+00:39:55,900 --> 00:40:00,900
+اللي أنا بدّي أعرض عليها غير شباب اللي بالكتاب
+
+524
+00:40:00,900 --> 00:40:03,980
+رح حمّل لك إياه PDF على الـ model إن شاء الله تبارك 
+
+525
+00:40:03,980 --> 00:40:06,640
+وتعالى أنا موجود معايا الآن رح حمّل لك إياه على الـ
+
+526
+00:40:06,640 --> 00:40:10,320
+model عادةً
+
+527
+00:40:10,320 --> 00:40:14,140
+أنا بأشرح من slides و بحلّ معك المسائل بمجرّد الـ
+
+528
+00:40:14,140 --> 00:40:18,040
+chapter يخلص بقول لك اتفضل هاي الـ slides موجودة على
+
+529
+00:40:18,040 --> 00:40:21,660
+الـ model حمّلها لكن قبل ما يخلص الـ chapter بدّك
+
+530
+00:40:21,660 --> 00:40:25,680
+تتبع معايا من خلال الكتاب الحمد لله ربّ العالمين
+
+531
+00:40:25,680 --> 00:40:31,870
+معظمنا معاه جوالات، smartphone أو معاه laptop يعني 
+
+532
+00:40:31,870 --> 00:40:36,490
+مش مستحيل أنّك تفتحش الكتاب اللي موجود عندها كان
+
+533
+00:40:36,490 --> 00:40:41,530
+وبالتالي أوّل خطوة لازم تسويها بمجرّد يفتح الـ model
+
+534
+00:40:41,530 --> 00:40:44,570
+تاخد الكتاب أو إذا كانت تحبّ تنظيف الكيية على
+
+535
+00:40:44,570 --> 00:40:48,270
+المجموعة تبع الـ mobile اللي موجودة على الـ Facebook
+
+536
+00:40:48,270 --> 00:40:51,310
+بنخلّي الشباب يحملوا الكيية برضه ما فيش مشكلة إن شاء
+
+537
+00:40:51,310 --> 00:40:59,000
+الله تبارك وتعالى غير الشباب الأمور تمام؟ في 
+
+538
+00:40:59,000 --> 00:41:05,960
+الموبايل IOG Mobile Computing أعتقد نعدّل الجدول
+
+539
+00:41:05,960 --> 00:41:09,520
+اللي خلاص أه عدّله عندك هنا خلاص المحاضرة المصوّرة
+
+540
+00:41:09,520 --> 00:41:16,230
+نعم كيف بتجيبها؟ الآن كلّ محاضرة اتنين بيعملوا
+
+541
+00:41:16,230 --> 00:41:18,490
+مونتاج عبر ما خلّصوا مونتاج وبيحمّلوها لكِها على
+
+542
+00:41:18,490 --> 00:41:22,750
+صفحة الجامعة ضمن مركز التميّز التعليم الإلكتروني
+
+543
+00:41:22,750 --> 00:41:26,650
+مركز التميّز في الجامعة في كلّ المساقات المصوّرة
+
+544
+00:41:26,650 --> 00:41:30,790
+بتروح على الكلية تبعتك كلية technology المعلومات و
+
+545
+00:41:30,790 --> 00:41:33,690
+بتحدّد المساق اللي بدّك هي إن شاء الله تبارك وتعالى
+
+546
+00:41:33,690 --> 00:41:40,580
+نعم كلّ المواد لأ هذه المادة الآن بتتصوّر لأوّل مرة 
+
+547
+00:41:40,580 --> 00:41:45,080
+فأنت ممكن تتبع الفيديوهات لاحقًا لو فاتتك شغلة ما
+
+548
+00:41:45,080 --> 00:41:49,860
+استوعبتهاش اتأخّرت عن محاضرة لسبب ما ممكن إيش
+
+549
+00:41:49,860 --> 00:41:54,460
+تلاقيها مواد ثانية ممكن تلاقيهم يدرسوها ناس ثانيين
+
+550
+00:41:54,460 --> 00:41:57,020
+قبل وتلاقيها موجودة كذلك ممكن تستفيد منها 
+
+551
+00:41:57,020 --> 00:42:00,960
+المحاضرات
+
+552
+00:42:00,960 --> 00:42:03,180
+بسيطة تستخدم الـ google
+
+553
+00:42:12,500 --> 00:42:19,180
+لا هان هان ثابتة بس 201 وخلاص وين 
+
+554
+00:42:19,180 --> 00:42:28,440
+مركز التميّز أو
+
+555
+00:42:28,440 --> 00:42:31,880
+على جوجل محاضرات مصوّرة الجامعة الإسلامية هي هي هي
+
+556
+00:42:31,880 --> 00:42:36,440
+هي هي الخدمات الإلكترونية صفحتي الجامعة خدمات 
+
+557
+00:42:36,440 --> 00:42:41,300
+إلكترونية التميّز الأكاديمي أو المحاضرات المصوّرة
+
+558
+00:42:41,300 --> 00:42:48,620
+هاي
+
+559
+00:42:48,620 --> 00:42:50,840
+ناس بتشرح .. هاي الدكتور اسماعيل أستال بيشرح
+
+560
+00:42:50,840 --> 00:42:56,700
+رياضيات طبعًا الوظيفة الحديثة هاي كلية تكنولوجيا 
+
+561
+00:42:56,700 --> 00:43:01,440
+المعلومات تكنولوجيا معلومات أو علم حاسوب مش هتفرق
+
+562
+00:43:01,440 --> 00:43:06,280
+كتير marketing distribution أسماء المساقات هذه
+
+563
+00:43:06,280 --> 00:43:10,900
+مادة اسمها تصميم منطقي طبعا ممكن أنت تشوف المواد
+
+564
+00:43:10,900 --> 00:43:15,870
+اللي موجودة عندك تمام؟ حسب المساقات وبالتالي الإخوان
+
+565
+00:43:15,870 --> 00:43:18,370
+هنا في اللي بيشتغلوا معانا باستمرار بيعملوا update
+
+566
+00:43:18,370 --> 00:43:21,690
+بمجرد ما خلصت المحاضرة بدؤوا يعملوا إيش مونتاج ممكن 
+
+567
+00:43:21,690 --> 00:43:23,870
+ما يقدروش يعملوا مونتاج في نفس اللحظة لأنه في تكون
+
+568
+00:43:23,870 --> 00:43:27,610
+في ورانا محاضرة مصورة ثانية تمام فبتأخر المونتاج
+
+569
+00:43:27,610 --> 00:43:31,330
+لآخر النهار أو لتاني يوم بس في الآخر ما بينقض
+
+570
+00:43:31,330 --> 00:43:33,750
+اليوم والتاني إلا غير بتكون المحاضرة موجودة على
+
+571
+00:43:33,750 --> 00:43:38,470
+الصفحة وبتقدر تشاهدها إن شاء الله تبارك وتعالى آه
+
+572
+00:43:38,470 --> 00:43:42,450
+يا شباب في أي شيء ثاني؟ الله يعطيكم العافية وإن شاء
+
+573
+00:43:42,450 --> 00:43:44,790
+الله .. إن شاء الله بنشوفكم يوم الثلاثاء ساعة تسعة
+
+574
+00:43:44,790 --> 00:43:46,850
+و نص نكون في القاعة بإذن الله الله يعطيكم العافية 
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/QDkXwEc4f5Y_raw.json b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/QDkXwEc4f5Y_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..e14ca4d12d478098d8baafa596d9588821c0b57a
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/QDkXwEc4f5Y_raw.json
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2598.01, "word": " بيعملوا", "probability": 0.960546875}, {"start": 2598.01, "end": 2598.37, "word": " update", "probability": 0.80615234375}, {"start": 2598.37, "end": 2598.79, "word": " بمجرد", "probability": 0.93701171875}, {"start": 2598.79, "end": 2599.05, "word": " خلص", "probability": 0.9222005208333334}, {"start": 2599.05, "end": 2599.53, "word": " المحاضرة", "probability": 0.970703125}, {"start": 2599.53, "end": 2599.77, "word": " بدوا", "probability": 0.35113525390625}, {"start": 2599.77, "end": 2600.13, "word": " يعملوا", "probability": 0.9774169921875}, {"start": 2600.13, "end": 2600.31, "word": " إيش", "probability": 0.7976888020833334}, {"start": 2600.31, "end": 2600.83, "word": " مونتاج", "probability": 0.84185791015625}, {"start": 2600.83, "end": 2601.69, "word": " ممكن", "probability": 0.941650390625}, {"start": 2601.69, "end": 2602.13, "word": " مايقدروش", "probability": 0.8319498697916666}, {"start": 2602.13, "end": 2602.43, "word": " يعملوا", "probability": 0.97705078125}, {"start": 2602.43, "end": 2602.73, "word": " مونتاج", "probability": 0.9892578125}, {"start": 2602.73, "end": 2602.83, "word": " في", "probability": 0.8369140625}, {"start": 2602.83, "end": 2603.01, "word": " نفس", "probability": 0.99560546875}, {"start": 2603.01, "end": 2603.41, "word": " اللحظة", "probability": 0.9754638671875}, {"start": 2603.41, "end": 2603.63, "word": " لأنه", "probability": 0.86669921875}, {"start": 2603.63, "end": 2603.69, "word": " في", "probability": 0.450927734375}, {"start": 2603.69, "end": 2603.87, "word": " تكون", "probability": 0.868896484375}, {"start": 2603.87, "end": 2603.99, "word": " في", "probability": 0.876953125}, {"start": 2603.99, "end": 2604.31, "word": " ورانا", "probability": 0.8966471354166666}, {"start": 2604.31, "end": 2604.69, "word": " محاضرة", "probability": 0.992919921875}, {"start": 2604.69, "end": 2605.15, "word": " مصورة", "probability": 0.95068359375}, {"start": 2605.15, "end": 2605.45, "word": " تانية", "probability": 0.99072265625}, {"start": 2605.45, "end": 2606.35, "word": " تمام", "probability": 0.791259765625}, {"start": 2606.35, "end": 2607.15, "word": " فبتأخر", "probability": 0.9005859375}, {"start": 2607.15, "end": 2607.61, "word": " المونتاج", "probability": 0.9822998046875}, {"start": 2607.61, "end": 2607.95, "word": " لآخر", "probability": 0.9423828125}, {"start": 2607.95, "end": 2608.25, "word": " النهار", "probability": 0.84228515625}, {"start": 2608.25, "end": 2608.39, "word": " أو", "probability": 0.77734375}, {"start": 2608.39, "end": 2608.73, "word": " لتاني", "probability": 0.9810791015625}, {"start": 2608.73, "end": 2608.85, "word": " يوم", "probability": 0.993896484375}, {"start": 2608.85, "end": 2609.29, "word": " بس", "probability": 0.95458984375}, {"start": 2609.29, "end": 2609.39, "word": " في", "probability": 0.96875}, {"start": 2609.39, "end": 2609.81, "word": " الآخر", "probability": 0.9708658854166666}, {"start": 2609.81, "end": 2610.85, "word": " ما", "probability": 0.54931640625}, {"start": 2610.85, "end": 2611.33, "word": " بينقض", "probability": 0.69580078125}, {"start": 2611.33, "end": 2611.65, "word": " اليوم", "probability": 0.985107421875}, {"start": 2611.65, "end": 2612.17, "word": " والتاني", "probability": 0.9149169921875}, {"start": 2612.17, "end": 2612.27, "word": " إلا", "probability": 0.79345703125}, {"start": 2612.27, "end": 2612.41, "word": " غير", "probability": 0.6319580078125}, {"start": 2612.41, "end": 2612.63, "word": " بتكون", "probability": 0.740234375}, {"start": 2612.63, "end": 2613.07, "word": " المحاضرة", "probability": 0.9951171875}, {"start": 2613.07, "end": 2613.53, "word": " موجودة", "probability": 0.9786376953125}, {"start": 2613.53, "end": 2613.75, "word": " على", "probability": 0.92236328125}, {"start": 2613.75, "end": 2615.29, "word": " الصفحة", "probability": 0.937744140625}, {"start": 2615.29, "end": 2615.65, "word": " وبتقدر", "probability": 0.87255859375}, {"start": 2615.65, "end": 2616.09, "word": " تشاهدها", "probability": 0.9890625}, {"start": 2616.09, "end": 2616.19, "word": " ان", "probability": 0.63427734375}, {"start": 2616.19, "end": 2616.33, "word": " شاء", "probability": 0.953857421875}, {"start": 2616.33, "end": 2616.37, "word": " الله", "probability": 0.962890625}, {"start": 2616.37, "end": 2616.67, "word": " تبارك", "probability": 0.853271484375}, {"start": 2616.67, "end": 2617.49, "word": " وتعالى", "probability": 0.974853515625}, {"start": 2617.49, "end": 2618.47, "word": " آه", "probability": 0.5711669921875}, {"start": 2618.47, "end": 2618.55, "word": " يا", "probability": 0.52099609375}, {"start": 2618.55, "end": 2618.73, "word": " شباب", "probability": 0.9910481770833334}, {"start": 2618.73, "end": 2618.89, "word": " في", "probability": 0.82421875}, {"start": 2618.89, "end": 2619.03, "word": " أي", "probability": 0.8701171875}, {"start": 2619.03, "end": 2619.23, "word": " شيء", "probability": 0.757568359375}, {"start": 2619.23, "end": 2619.67, "word": " تاني؟", "probability": 0.9332275390625}], "temperature": 1.0}, {"id": 104, "seek": 262685, "start": 2621.07, "end": 2626.85, "text": "الله يعطيكم العافية وان شاء الله .. ان شاء الله بنشوفكم يوم التلاتة ساعة تسعة و نص نكون في القاعة بإذن الله الله يعطيكم العافية", "tokens": [6027, 43761, 37495, 9566, 1829, 24793, 18863, 31845, 10632, 4032, 7649, 13412, 16606, 21984, 4386, 16472, 13412, 16606, 21984, 44945, 8592, 38688, 24793, 7251, 20498, 16712, 1211, 9307, 3660, 8608, 995, 27884, 6055, 3794, 27884, 4032, 8717, 9381, 8717, 30544, 8978, 25062, 995, 27884, 4724, 28814, 8848, 1863, 21984, 21984, 37495, 9566, 1829, 24793, 18863, 31845, 10632], "avg_logprob": -0.1769935329412592, "compression_ratio": 1.915966386554622, "no_speech_prob": 0.0, "words": [{"start": 2621.07, "end": 2621.29, "word": "الله", "probability": 0.796142578125}, {"start": 2621.29, "end": 2621.51, "word": " يعطيكم", "probability": 0.649658203125}, {"start": 2621.51, "end": 2621.93, "word": " العافية", "probability": 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0.8748372395833334}, {"start": 2624.79, "end": 2624.87, "word": " و", "probability": 0.99267578125}, {"start": 2624.87, "end": 2624.97, "word": " نص", "probability": 0.85107421875}, {"start": 2624.97, "end": 2625.21, "word": " نكون", "probability": 0.906982421875}, {"start": 2625.21, "end": 2625.31, "word": " في", "probability": 0.92138671875}, {"start": 2625.31, "end": 2625.59, "word": " القاعة", "probability": 0.873046875}, {"start": 2625.59, "end": 2625.87, "word": " بإذن", "probability": 0.85888671875}, {"start": 2625.87, "end": 2626.07, "word": " الله", "probability": 0.95556640625}, {"start": 2626.07, "end": 2626.35, "word": " الله", "probability": 0.43603515625}, {"start": 2626.35, "end": 2626.53, "word": " يعطيكم", "probability": 0.9520263671875}, {"start": 2626.53, "end": 2626.85, "word": " العافية", "probability": 0.9671223958333334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2627.22175, "duration_after_vad": 2503.8743749999894}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/QDkXwEc4f5Y_raw.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/QDkXwEc4f5Y_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..82394cb6b429be963ed219e60df1857450084cec
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/QDkXwEc4f5Y_raw.srt
@@ -0,0 +1,2296 @@
+1
+00:00:21,180 --> 00:00:23,240
+بسم الله و الحمد لله و الصلاة والسلام على رسول
+
+2
+00:00:23,240 --> 00:00:26,320
+الله أهلا وسهلا بالشباب و بتمنى لكم ان شاء الله
+
+3
+00:00:26,320 --> 00:00:30,880
+فصل دراسي ملء النشاط و العلمات و الدرجات العالية
+
+4
+00:00:30,880 --> 00:00:34,520
+ان شاء الله تبارك وتعالى انا أياد الشامي ان شاء
+
+5
+00:00:34,520 --> 00:00:39,660
+الله تعالى هدرسكم مساق رياضيات للوسائط المتعددة
+
+6
+00:00:39,660 --> 00:00:43,380
+اليوم مش هنتكلم كتير في المادة مجرد احنا نتعرف على
+
+7
+00:00:43,380 --> 00:00:48,480
+المادة بشكل عام محتوى المادة، ايش المطلوب منكوش
+
+8
+00:00:48,480 --> 00:00:51,300
+المطلوب مني عشان ان شاء الله في نهاية الفصل ما
+
+9
+00:00:51,300 --> 00:00:55,340
+نزعلش مع بعض و تكون علاقتنا علاقة محبة ان شاء الله
+
+10
+00:00:55,340 --> 00:01:00,820
+تبارك وتعالى كلكم
+
+11
+00:01:00,820 --> 00:01:04,080
+سجلين المساق؟ ماشي الحاجة فيه تغيير بسيط في الشعب
+
+12
+00:01:04,080 --> 00:01:09,900
+ما اللي دخل فيها مخرجات المساق تبعتنا بتركز
+
+13
+00:01:09,900 --> 00:01:17,470
+بالدرجة الأولى على فهم أساسي لاستخدامرياضيات في
+
+14
+00:01:17,470 --> 00:01:20,590
+Computer Graphics ايش يعني Computer Graphics يا
+
+15
+00:01:20,590 --> 00:01:28,810
+شباب؟ حد عنده فكرة؟ شو يعني Computer Graphics؟
+
+16
+00:01:29,450 --> 00:01:33,330
+التصورات الحسوبية مش .. مش تمام بس قريبا بتقولك مش
+
+17
+00:01:33,330 --> 00:01:36,090
+هي كده Computer Graphics رسومات الحسوب شو يعني
+
+18
+00:01:36,090 --> 00:01:40,450
+رسومات الحسوب طب نقارب المثل يعني رسومات الحسوب
+
+19
+00:01:40,450 --> 00:01:46,090
+بتكلمها عبارة عن كل رسمة تمام بتنتجها باستخدام
+
+20
+00:01:46,090 --> 00:01:50,950
+الحسوب الرسم الآن اما بالإيد و بنسميه احنا
+
+21
+00:01:50,950 --> 00:01:52,690
+freehand
+
+22
+00:01:54,870 --> 00:02:00,610
+الرسم الحر تستخدم ايدك تمام او في رسم هندسي تمام
+
+23
+00:02:00,610 --> 00:02:04,910
+او بنسميه geometric draw بتستخدم فيه قواعد هندسية
+
+24
+00:02:04,910 --> 00:02:08,430
+على الرسم الان اذا انت بقى تمسك الماوس و تفتح
+
+25
+00:02:08,430 --> 00:02:10,930
+الرسام و تمسك الماوس و تبدأ ترسم زي ما بترسم
+
+26
+00:02:10,930 --> 00:02:14,050
+بالورجة بالجلم على الورجة هذا فريحان مافيش مشكلة
+
+27
+00:02:14,050 --> 00:02:17,310
+فيه بس انت بتستخدم الحسوب كطول و انا بعرف ناس
+
+28
+00:02:17,310 --> 00:02:20,510
+بترسم فيه كأننا ناس كريشة عن جد و بيرسم و ممكن
+
+29
+00:02:20,510 --> 00:02:25,510
+افضل كمانلكن احنا اليوم نتكلم في الرسومات التانية،
+
+30
+00:02:25,510 --> 00:02:29,290
+الرسومات الهندسية أو المطبوطة ضمن قواعي هندسية أو
+
+31
+00:02:29,290 --> 00:02:35,380
+رياضيات من أجل الوصول إلى رسمة متقنةكلنا بنشوف
+
+32
+00:02:35,380 --> 00:02:42,200
+الزخارف، صح؟ بلاش حتما شفت في البيت طوب فلاحي،
+
+33
+00:02:42,200 --> 00:02:46,660
+دصدان، محفظة، بيت جوال أو ما شبه الرسمة اللي
+
+34
+00:02:46,660 --> 00:02:50,260
+موجودة هذه على الرغم إنها معمولة بالإيد، تمام؟ إلا
+
+35
+00:02:50,260 --> 00:02:54,460
+غير إن الصورة العامة صورة هندسية وما انضبطت تماما
+
+36
+00:02:54,460 --> 00:02:59,580
+إلا بشغل الهندسة والرياضيات اللي انوجدت ولو رجعت
+
+37
+00:02:59,580 --> 00:03:03,870
+لللي اشتغل من البدايةهتلاقي انه في عندك دفتر رسمي
+
+38
+00:03:03,870 --> 00:03:07,750
+البياني اذا كانت بتتذكره زمان المربعات يسلم تمك
+
+39
+00:03:07,750 --> 00:03:11,930
+نية لمية والرسمة هذه الموجودة عليهم ثم تم نقلها
+
+40
+00:03:11,930 --> 00:03:16,270
+للجمهش بالخيوط اللي احنا بنشوفها فالان احنا هدفنا
+
+41
+00:03:16,270 --> 00:03:21,150
+من المادة بشكل أساسي بما انه في طلاب ما بين طلاب
+
+42
+00:03:21,150 --> 00:03:24,210
+تطوير ال mobile او خلنا نقول الحوسبة المتنقلة
+
+43
+00:03:24,210 --> 00:03:28,410
+وطلاب الوسائط المتعددة وفي كل الحالتين الرسم هذا
+
+44
+00:03:28,410 --> 00:03:32,820
+بيخدمك طيبمعناته احنا بدنا نركز بالدرجة الأولى و
+
+45
+00:03:32,820 --> 00:03:37,600
+هدفنا الأول ان نحاول نفهم المفاهيم او نحصل على فهم
+
+46
+00:03:37,600 --> 00:03:43,080
+واضح للأساسيات النظرية والتقبيقية طبعا لما اتكلم
+
+47
+00:03:43,080 --> 00:03:47,340
+على أساسيات نظرية شباب أساسيات نظرية بالمبدأ
+
+48
+00:03:47,340 --> 00:03:49,660
+البسيط جدا مش واحد فيك يقول يا دكتور احنا أدبي
+
+49
+00:03:49,660 --> 00:03:52,740
+ورياضيات ورانا ورانا احنا ورطاني لأ مش ورطاني يا
+
+50
+00:03:52,740 --> 00:03:57,220
+صاحبي الأمر بسيط جدا ان شاء الله تمام و هتشوف فيه
+
+51
+00:03:57,220 --> 00:04:03,130
+فائدة محترمة لمادة الرياضياتالمفروض انك بعد كمان
+
+52
+00:04:03,130 --> 00:04:07,910
+من انتهاء المساق تكون حصلت على ثقة عالية جدا من
+
+53
+00:04:07,910 --> 00:04:12,190
+خلال المعرفة الرياضية اللى هتحصل عليها عشان تقدر
+
+54
+00:04:12,190 --> 00:04:15,550
+تقول والله انا رسمت هي ده صح او لأ الان لو انا
+
+55
+00:04:15,550 --> 00:04:23,950
+اجيت وقلتلك في كرة هان وبده نرميها بزاوية مقدارها
+
+56
+00:04:23,950 --> 00:04:25,410
+five
+
+57
+00:04:28,730 --> 00:04:34,470
+وقوة مقدارها X مثلا او F الكرة هذه اين بتهتجع؟
+
+58
+00:04:34,470 --> 00:04:39,570
+مجهولة مجهولة لان انا فعليا ما اعرف القانون اللي
+
+59
+00:04:39,570 --> 00:04:43,610
+فعليا نشتغل عليه لكن لما انا بدأ اخضعها لقانون
+
+60
+00:04:43,610 --> 00:04:48,290
+الرياضيات قوة وكتلة وحجم معناته انا بعرف انها
+
+61
+00:04:48,290 --> 00:04:53,930
+بتهتجع هنا وحتاخد مسار ال curve هذاالـ curve هذا
+
+62
+00:04:53,930 --> 00:04:58,470
+عمرك شوفت animation أو فيديو .. ملف .. عفوا ..
+
+63
+00:04:58,470 --> 00:05:02,150
+فيلم .. صور ورسوم متحركة لما بيجي برمو .. كلكوا
+
+64
+00:05:02,150 --> 00:05:04,710
+بتتفرج على كابتن ماجد صح؟ او اتفرجني عليها زمان
+
+65
+00:05:04,710 --> 00:05:11,270
+لما بشوف الكورة، الكورة بتتحرك ضمن مسارمعك، سيبنا
+
+66
+00:05:11,270 --> 00:05:14,450
+من الحركة اللولبية والمش عارف إيش الكلام هذا لأن
+
+67
+00:05:14,450 --> 00:05:17,470
+هذا برضه الشغل اللي بتتحكم فيه لاحقا بالكمبيوتر
+
+68
+00:05:17,470 --> 00:05:20,790
+لأنه بتصير تفترض المسار اللي بتمشي فيه الكورة أو
+
+69
+00:05:20,790 --> 00:05:25,970
+المقضوف هذا ومن ثم بيصل طيب وبالتالي هذه المعرفة
+
+70
+00:05:25,970 --> 00:05:29,530
+الأساسية اللي احنا هنكسبها هتديك ثقة عالية جدا
+
+71
+00:05:29,530 --> 00:05:34,110
+أثناء التصميم و أثناء الرسم أديك مثال آخر لو أنا
+
+72
+00:05:34,110 --> 00:05:42,300
+افترضت أنه عندي هنا الشمسوحضرة جنابك واقف هنا على
+
+73
+00:05:42,300 --> 00:05:52,180
+الأرض تمكن تخمن اتجاه الظلم تبعك وطوله حسب اتجاه
+
+74
+00:05:52,180 --> 00:05:57,640
+الشمس متفقين معناته اذا انا هنا ممكن انا ارسم الخط
+
+75
+00:05:57,640 --> 00:06:03,320
+هذا هيك مع الأرض الشدوه
+
+76
+00:06:03,320 --> 00:06:07,230
+تبعك هيكون هيك ولا شو رايك؟هذا الكلام يا شباب
+
+77
+00:06:07,230 --> 00:06:10,630
+الرسم مش عشوائي الرسم العشوائي ممكن يكون جميل في
+
+78
+00:06:10,630 --> 00:06:14,330
+لحظة من اللحظات لكن لما بنروح في مرحلة الانتقاد
+
+79
+00:06:14,330 --> 00:06:17,150
+وفيه نقات بدهم يقولولنا هذا الشغل مجبول ولا مش
+
+80
+00:06:17,150 --> 00:06:20,690
+مجبول يقولولك صف على جانب يا عم انت ماشي الحال
+
+81
+00:06:20,690 --> 00:06:26,010
+عندك موهبة لكن الموهبة هذه غير منضبطة او غير صحيحة
+
+82
+00:06:26,010 --> 00:06:29,190
+يعني بتسرح في الخيال اكثر من انك انت بتشتغل في
+
+83
+00:06:29,190 --> 00:06:35,070
+الواقع الموهبة هذه احنا بدنا نعززهامن خلال بعض الـ
+
+84
+00:06:35,070 --> 00:06:38,150
+Knowledge الرياضية اللي احنا متعامل معاها و هتشوف
+
+85
+00:06:38,150 --> 00:06:41,330
+لاحقا ان شاء الله بغض النظر ايش كان تخصصك هتقول
+
+86
+00:06:41,330 --> 00:06:44,130
+الله يارحم يدي الشام والله كلامه كان صح ان هذه
+
+87
+00:06:44,130 --> 00:06:48,690
+النقطة خدمتني في كذا و هذه النقطة خدمتني في كذا و
+
+88
+00:06:48,690 --> 00:06:52,030
+هنشوف بعض الأمثلة و هنختبر مع بعض بعض الأمثلة
+
+89
+00:06:52,030 --> 00:06:56,750
+البسيطة اللي لها علاقة في الرياضيات في المواضيع
+
+90
+00:06:56,750 --> 00:07:01,010
+الرياضيات التطبيقية الكتاب تبعناه الأساسي
+
+91
+00:07:03,340 --> 00:07:07,480
+mathematics for computer graphics الطبع الخامسة
+
+92
+00:07:07,480 --> 00:07:14,980
+سنة الإصدار 2017 المادة هذه للتاني مرة تدرس تمام
+
+93
+00:07:14,980 --> 00:07:18,780
+بالشكل اللي انا باطرحه قاعد السنة الماضية ماكنتش
+
+94
+00:07:18,780 --> 00:07:22,320
+النسخة دي طالعة فاعتمدنا النسخة لجبل كانت 2014
+
+95
+00:07:22,320 --> 00:07:26,440
+مجرد تغير الكتاب احنا ياش او انا بالاخر غيرت
+
+96
+00:07:26,440 --> 00:07:30,640
+الكتاب عشان امشي معه اخر مابتكلموا في المواضيع هذه
+
+97
+00:07:30,640 --> 00:07:34,400
+عشان تظهر الأمور سهلة و أمثلة تعزز المفهوم اللي
+
+98
+00:07:34,400 --> 00:07:38,200
+احنا بدناه من ورا المادة لكتاب هذا فيه عيب واحد
+
+99
+00:07:38,200 --> 00:07:43,680
+محاولين يستدركوا المرة هاي لكن مش مية في المية انه
+
+100
+00:07:43,680 --> 00:07:47,500
+بيفقر ال exercises مافيش فيه تمارين طب ايش
+
+101
+00:07:47,500 --> 00:07:50,980
+بننساوي؟ هحاول ان ازودك بمجموعة عاملة تمارين تشتغل
+
+102
+00:07:50,980 --> 00:07:54,700
+عليها مع نهاية ال chapter كل فصل؟أو لو دورت على ال
+
+103
+00:07:54,700 --> 00:07:57,800
+web بدل ما انت بتفتح بتجضي ساعات على ال facebook و
+
+104
+00:07:57,800 --> 00:08:01,360
+على الكلام الفاضي لأ دور انه انا بدي اشوف مسائل في
+
+105
+00:08:01,360 --> 00:08:04,940
+الموضوع فلاني و هتلاقي مواقع كتير بتزودك و هنضربلك
+
+106
+00:08:04,940 --> 00:08:11,460
+أمثلة ان شاء الله تعالى خلال المساق طوزعتنا
+
+107
+00:08:11,460 --> 00:08:19,280
+للعلامات خلال الفصل 45
+
+108
+00:08:19,280 --> 00:08:26,190
+% امتحان نهائيجليلة ولا كتيرة؟ جليلة جليلة بخليه
+
+109
+00:08:26,190 --> 00:08:30,230
+60 بخليه بس هتيجي كمان شوية تقول ليه لا لا اشراك
+
+110
+00:08:30,230 --> 00:08:33,810
+ان الامور لما تكبر المادة خصوصا اللي المتحان
+
+111
+00:08:33,810 --> 00:08:38,470
+النهائي بيغطي كل المادة من أول صفحة لآخر صفحة
+
+112
+00:08:38,470 --> 00:08:41,750
+بنصللها طبعا مش هنخلص كل كتاب احنا بناخد selected
+
+113
+00:08:41,750 --> 00:08:45,250
+topics أو chapters من الكتاب ال midterm عليها 30
+
+114
+00:08:45,250 --> 00:08:49,070
+علامة شباب وأعمال
+
+115
+00:08:49,070 --> 00:08:56,490
+الفصل ما بين quizأو واجب في البيت تحلل ليه هد عليه
+
+116
+00:08:56,490 --> 00:09:00,850
+خمسة وعشرين علامة يعني انا بأتكلم ان في عندك خمسة
+
+117
+00:09:00,850 --> 00:09:06,350
+وعشرين علامة هدول إلك مضموناتإذا انت من الناس اللي
+
+118
+00:09:06,350 --> 00:09:10,590
+بتحب تحصلاش العلامات جنب الفايدة الفايدة موجودة بس
+
+119
+00:09:10,590 --> 00:09:13,790
+بدها جهد منك عشان تتبتها و في نفس الوقت تحصلاش
+
+120
+00:09:13,790 --> 00:09:17,230
+العلامات و كذلك علامات الامتحان النصي يعني مع
+
+121
+00:09:17,230 --> 00:09:20,290
+الامتحان النصي هحنا بنكون تقريبا جابعين تلات شباتر
+
+122
+00:09:20,290 --> 00:09:23,810
+أو تلات فصول في المادة من أصل تمانية أو تسعة وممكن
+
+123
+00:09:23,810 --> 00:09:29,270
+عشرة تسهيل بس في الغالببما أنه عدد الشباتر أقل
+
+124
+00:09:29,270 --> 00:09:33,670
+ففرصتك ان تحصل علامات اكتر فانت مافيش عندك مشكلة
+
+125
+00:09:33,670 --> 00:09:37,890
+انك تروح الانتحان النهائي وانت ضامن 55 علامة في
+
+126
+00:09:37,890 --> 00:09:41,710
+جيبك اسي دي بلاش انكوا متواضعين 50 علامة اذا انت
+
+127
+00:09:41,710 --> 00:09:44,930
+بدك تطير العلامات من البداية هي مشكلة هتصير تقول
+
+128
+00:09:44,930 --> 00:09:47,350
+في الآخر احنا .. انا مانجحتش المادة صعبة لأ المادة
+
+129
+00:09:47,350 --> 00:09:51,150
+مش صعبة و تحصيل العلامات فيها سهل ان شاء الله
+
+130
+00:09:51,150 --> 00:09:57,800
+تعالى من المواضيع اللي هنقطيهاحسب ترتيب الكتاب
+
+131
+00:09:57,800 --> 00:10:03,320
+هنتبرق للأعداد، نتعرف على المجموعات والأعداد،
+
+132
+00:10:03,320 --> 00:10:05,980
+الأعداد الطبيعية، الأعداد الحقية، الأعداد المركبة
+
+133
+00:10:05,980 --> 00:10:09,600
+وكيف التحويلات ما بينهم، بعد هيك هنتقل للـAlgebra،
+
+134
+00:10:09,600 --> 00:10:14,980
+بعض المعادلات الخطية، نتعرف عليها، Regometry،
+
+135
+00:10:14,980 --> 00:10:19,780
+هتكلم عن حسب الحساب المثلثات، وبعض قواعده البسيطة،
+
+136
+00:10:19,780 --> 00:10:23,200
+ال coordinate system، كيف أحدد النقاط وكيف أنا بدي
+
+137
+00:10:23,200 --> 00:10:26,930
+أرسم وكيف بدي أعمل rotation للنقطة،وبعد ذلك انتقل
+
+138
+00:10:26,930 --> 00:10:31,120
+لشغله اسمها مصحف ال vectorsالرسم بتسميها vectors
+
+139
+00:10:31,120 --> 00:10:35,460
+في الرياضيات مطلق عليها اسم المصفوفات نفس المسميات
+
+140
+00:10:35,460 --> 00:10:39,540
+لكن فارق بسيط جدا هتتكلم عليه فحينه كيف ممكن احول
+
+141
+00:10:39,540 --> 00:10:43,520
+و كيف اعمل interpolation لل graphics لل objects
+
+142
+00:10:43,520 --> 00:10:46,900
+اللي عندي و كيف ارسم ال curves و ال patches زي ما
+
+143
+00:10:46,900 --> 00:10:50,240
+قلنا قبل شوية و كيف اقدر احلل الرسمة اللي موجودة
+
+144
+00:10:50,240 --> 00:10:54,700
+عندي و كيف لما انا بدي ارسم او بدي اصمم كرة لما
+
+145
+00:10:54,700 --> 00:10:57,460
+اعملها render كيف تطلع ال render زي ما انا صممت
+
+146
+00:10:57,460 --> 00:11:04,470
+ولا ماطلعش فيها عيوبهنشوفه ان شاء الله بالتفصيل
+
+147
+00:11:04,470 --> 00:11:08,330
+الآن يا سيد العزيزي في عندنا جمعة من الملاحظات
+
+148
+00:11:08,330 --> 00:11:13,670
+مهمة جدا إليك خصوصا معظمكم سنة أولى بدي تنتبه
+
+149
+00:11:13,670 --> 00:11:17,830
+معايا كويس للكلام اللي أنا بقوله عشانما تقولش و
+
+150
+00:11:17,830 --> 00:11:20,190
+الله في الجامعة صعبين لأ احنا .. احنا في عندنا
+
+151
+00:11:20,190 --> 00:11:23,990
+قانون و بنلتزم فيه قدر اللي مستطاع و بالرعيق جدر
+
+152
+00:11:23,990 --> 00:11:27,630
+ما بنقدر لكن في حد معين بنجافم و بنقولك و الله
+
+153
+00:11:27,630 --> 00:11:31,470
+احنا مش جادري نساعدك ولا دلش اولها ان حسب قانون
+
+154
+00:11:31,470 --> 00:11:35,530
+الجامعة انت لازم تحضر كل المحاضرات و اذا غيابك
+
+155
+00:11:35,530 --> 00:11:40,750
+بصلى ربع المحاضرات تمام ممنوع انت تدخل الامتحان
+
+156
+00:11:40,750 --> 00:11:43,290
+النهائي نعملك انسحاب من المساق
+
+157
+00:11:52,650 --> 00:11:57,270
+مش هتقدر تنجح فبدل ما انت تاخد صفر جانعي اربعين
+
+158
+00:11:57,270 --> 00:12:01,830
+وينزل معدلك تمام؟ لأ فيها رحمة فيك ان شاء الله
+
+159
+00:12:01,830 --> 00:12:07,270
+تنسحب الامتحان او كأنك انت ايش ماسجلتهوش وهنا تبدأ
+
+160
+00:12:07,270 --> 00:12:10,750
+المشاكل طيب ان شاء الله يا دكتور المادة تلت ساعات
+
+161
+00:12:10,750 --> 00:12:15,280
+خمسة وسبعين دنار حقهاطيب انت وين كنت خلال الفترة
+
+162
+00:12:15,280 --> 00:12:19,200
+ها يا صاحبي؟ ومش كنت تاخد مصروف من والدك؟ وإيه
+
+163
+00:12:19,200 --> 00:12:21,580
+أمرك؟ وانت بتسيجي على الحزب على إنك جاي على
+
+164
+00:12:21,580 --> 00:12:24,600
+الجامعة؟ معادل المحاضرة هان مش في الكافتيريا
+
+165
+00:12:24,600 --> 00:12:28,000
+وبالتالي انا اليوم مش هاخد حضور وغياب بكل تأكيد
+
+166
+00:12:28,000 --> 00:12:30,420
+لكن المحاضرة اللي جاية حد يكشف الحضور والغياب
+
+167
+00:12:30,420 --> 00:12:36,020
+هقولك اتفضل واقعلي على الكشف مقابل اسمك شغل تاني
+
+168
+00:12:36,020 --> 00:12:44,410
+ومهم جدا بالنسبة ليه؟ مافيش موعد مسبق لأي quizيعني
+
+169
+00:12:44,410 --> 00:12:49,410
+ال quiz مفاجئ ليش؟
+
+170
+00:12:49,410 --> 00:12:54,050
+صعبة؟ لا مش صعبة شوف أنا بشغل بفضل الله توراك
+
+171
+00:12:54,050 --> 00:12:57,290
+وتعالى من الجامعة من العام .. من سنة الألفين أنا
+
+172
+00:12:57,290 --> 00:13:02,850
+بتكلم كام سنة؟ تمانت عشر سنة جربت النمطين إن أجي
+
+173
+00:13:02,850 --> 00:13:08,300
+أقول للطلاب في quiz يوم كذاتمام؟ و لما انا اعمل ال
+
+174
+00:13:08,300 --> 00:13:11,640
+quiz بدون ما اخبرهم نفس العلامة عارف ليش؟ لأن
+
+175
+00:13:11,640 --> 00:13:18,340
+المجتهد و الحريص دايما جاهز دايما جاهز انا بديك
+
+176
+00:13:18,340 --> 00:13:21,200
+تكون حريص من البداية عشان هيك انا بقولك من الآن
+
+177
+00:13:21,200 --> 00:13:27,150
+مافيش عندى موعد محدد ل ال quizتلاقيني مباشرة،
+
+178
+00:13:27,150 --> 00:13:30,350
+بداية محاضرة، غالبا بعملها في بداية المحاضرة،
+
+179
+00:13:30,350 --> 00:13:33,410
+غالبا، ليش؟ عشان ما تقولني إيش أنت والله هلقتنا في
+
+180
+00:13:33,410 --> 00:13:36,710
+الموضوع الجديد و روحت إختبارتنا في الجديد، غالبا،
+
+181
+00:13:36,710 --> 00:13:39,850
+بس في الآخر زي ما برجع بقولك مافيش موعد محدد، في
+
+182
+00:13:39,850 --> 00:13:44,650
+مقابل هذا إيش المطلوب منك؟ مراجعة باستمرار، تمام؟
+
+183
+00:13:44,650 --> 00:13:49,010
+25 علامة مش جلال، حرام نضيعهم، وبالتالي غيبت عنك
+
+184
+00:13:49,010 --> 00:13:53,850
+quiz أو ماسلمتش assignment في موعده، أيه مشكلتك؟
+
+185
+00:13:53,850 --> 00:13:57,620
+مش مشكلتيطيب يا دكتور يعني الصحة بيدلها تبارك
+
+186
+00:13:57,620 --> 00:14:01,720
+وتعالى وظروف الإنسان بيمتلكاش عملت quiz و أنا غيبت
+
+187
+00:14:01,720 --> 00:14:05,600
+عنه، شو بده يصير فيها؟ عادة يا صاحبي أنا باخد عدد
+
+188
+00:14:05,600 --> 00:14:10,600
+كبير من ال quiz و بقرر في النهاية كام quiz أتجاوز
+
+189
+00:14:10,600 --> 00:14:15,820
+عنه، يعني نفترض أخدنا سبعة، سبعة quiz باجي بطلنا و
+
+190
+00:14:15,820 --> 00:14:19,940
+الله مثلا في ال quiz هذا في عدد لا بقصي من الغياب
+
+191
+00:14:20,910 --> 00:14:25,090
+تمام؟ او ممكن احسبلك احسن خمس قوزات من السبعة عشان
+
+192
+00:14:25,090 --> 00:14:28,990
+كوناش برضه انا في جانبك و ماكنش ضدك مطلقا لكن
+
+193
+00:14:28,990 --> 00:14:33,910
+ماترجعنيش يوم قوز انت فوّدت و غيبت على المحاضرة
+
+194
+00:14:33,910 --> 00:14:37,130
+لأي سبب من الأسباب ربنا يمن عليك و على أهلك و كل
+
+195
+00:14:37,130 --> 00:14:41,450
+أحببك بالصحة والعافية و تضلك ماشي معايا على الفصل
+
+196
+00:14:41,450 --> 00:14:43,950
+خلال الفصل هذا زي الساعة مثل ما انا هكون معاك ان
+
+197
+00:14:43,950 --> 00:14:44,910
+شاء الله
+
+198
+00:14:47,170 --> 00:14:49,470
+طبعاً هذا الكلام بنفسي بخصوص ال quiz و في ال
+
+199
+00:14:49,470 --> 00:14:52,690
+assignment هيكون الأمر أشد لما قاعد يقول شباب
+
+200
+00:14:52,690 --> 00:14:57,670
+تسليم يوم الأربع الساعة كده هعلمك كيف بنسلم على ال
+
+201
+00:14:57,670 --> 00:15:00,890
+model بس يفتح ال model الجهاز ماسلمتش هتلاقي لحاله
+
+202
+00:15:00,890 --> 00:15:04,530
+ال model على الوقت اللي أنا حددت لكيا جفل مش
+
+203
+00:15:04,530 --> 00:15:07,370
+هستجبل من أي حد و اللي بيبعت على ال email بتروح
+
+204
+00:15:07,370 --> 00:15:11,670
+على ال trash بستجبلهوش ليش انت هتجد دي دكتور شديد؟
+
+205
+00:15:11,670 --> 00:15:17,020
+مش شديد واللهأنا بحاول أطبق نفسي و نفسك مع بعض ان
+
+206
+00:15:17,020 --> 00:15:21,400
+نظل نمشي عشان نظل مرتاحين علامات المساقى زي ما قلت
+
+207
+00:15:21,400 --> 00:15:25,420
+لنا التوزيع اللي شفناها قبل شوية والمواضيع قابلة
+
+208
+00:15:25,420 --> 00:15:29,940
+للتغيير حسب كيف الوضع الفصل يبدو يمشي ان شاء الله
+
+209
+00:15:29,940 --> 00:15:33,000
+كمان مرة بتظل الأمور مستقرة وامور رماشة كويس و
+
+210
+00:15:33,000 --> 00:15:37,600
+بنقطع كل الشبات اللي حاطينا في الخطة او الفصول
+
+211
+00:15:37,600 --> 00:15:41,400
+اللي حاطينا في الخطة العلامات هتكون دايما اي تغيير
+
+212
+00:15:41,400 --> 00:15:46,520
+لصالحكأي تغيير في العلامات تأكد تماما حيكون لصالحك
+
+213
+00:15:46,520 --> 00:15:54,020
+ان شاء الله طيب الآن
+
+214
+00:15:54,020 --> 00:15:58,660
+قررت تيجي بعد كل هالكلام تيجي بدر على بداية
+
+215
+00:15:58,660 --> 00:16:05,400
+المحاضرة عادة محاضرتنا تسعة و نص هتلاقيني واقف هنا
+
+216
+00:16:05,400 --> 00:16:08,440
+تسعة و نص و هبدأ المحاضرة تسعة و خمسة و تلاتين
+
+217
+00:16:09,160 --> 00:16:11,840
+التأخير اليوم انا اتعمدت بالتأخير لان كان المفروض
+
+218
+00:16:11,840 --> 00:16:16,760
+قاعتنا 201 تحت تمام و اتأخرت كمان بزيادة كمان شوية
+
+219
+00:16:16,760 --> 00:16:19,720
+يعني اطلعت من مكتب يعني تسعة و نص عشان اتأكد ان
+
+220
+00:16:19,720 --> 00:16:22,900
+اكبر عدد ممكن من الشباباش موجودين في القاعة و قبل
+
+221
+00:16:22,900 --> 00:16:25,940
+ما اتكلمتوا و حاطيت الإعلان فلكن احنا كمان مرة
+
+222
+00:16:25,940 --> 00:16:29,240
+موعدنا تسعة و نص تسعة و خمس و تلاتين حد ايه شرح ان
+
+223
+00:16:29,240 --> 00:16:34,180
+شاء الله تعالى وبالتالي معاك خمس دقايق بس تتأخر مش
+
+224
+00:16:34,180 --> 00:16:39,170
+هبرضك لكن مش هجاوبك لو سألتني على أي شغلاشأسابق،
+
+225
+00:16:39,170 --> 00:16:48,590
+يا دكتور، كيف أجت؟ تمام؟ الموبايلات، صامت، حقك
+
+226
+00:16:48,590 --> 00:16:53,350
+تبقى شغال، بس أنا مابدى تزعجني برانتو، و كذلك
+
+227
+00:16:53,350 --> 00:16:56,910
+جوالي مش هتسمع رانتو إن شاء الله تبارك وتعالى، قلت
+
+228
+00:16:56,910 --> 00:17:00,510
+إن في شغلة تانية على الجوال، يعني أحيانًا تصدد
+
+229
+00:17:00,510 --> 00:17:03,490
+نغمة، أنت حر شخصيتك وال character تبعتك، بتكون
+
+230
+00:17:03,490 --> 00:17:09,090
+النغمةمش هي المطلوبة يعني عفوا أنا مابحجر عليك لكن
+
+231
+00:17:09,090 --> 00:17:13,790
+بقولك بتدي انطباع عن صاحبها النغمة بتدي انطباع عن
+
+232
+00:17:13,790 --> 00:17:19,270
+صاحبها ايش ما كانت ميولك او كده تمام الاصل اللي
+
+233
+00:17:19,270 --> 00:17:22,370
+انك تحافظ فيها يعني وانا بعرف ناس بتغير النغمة حسب
+
+234
+00:17:22,370 --> 00:17:27,210
+ال mode فلأ خلّي النغمة صامتة ومابدناش نسمع الغناء
+
+235
+00:17:27,210 --> 00:17:31,030
+وبلغ السكرتار يتعونك انه أنا مشغول مع واحد اسمه
+
+236
+00:17:31,030 --> 00:17:33,530
+يادي الشامي هيغلبني لو راني تليفوني في المحاضرة
+
+237
+00:17:34,230 --> 00:17:39,050
+ماشي الحال؟ لو كان في عندك أي .. أي سؤال أو أي
+
+238
+00:17:39,050 --> 00:17:43,430
+اعتراض على خطأ أنا ارتكبته أثناء الشرح تمام؟ بتمنى
+
+239
+00:17:43,430 --> 00:17:48,470
+عليك أنك تكونياش مهذّب و لطيف و أديب زي ما احنا
+
+240
+00:17:48,470 --> 00:17:53,270
+بنعرف علينا عنك و زي ما أهلكياش ربّوك ما تحاولش
+
+241
+00:17:53,270 --> 00:17:57,410
+تصطدم لا معايا ولا مع أي حدا من الدكاترة طبعا هذه
+
+242
+00:17:57,410 --> 00:18:01,190
+نصيحة بشكل عام لأن ما بتعرف انت شخصية اللي قدامك
+
+243
+00:18:01,190 --> 00:18:05,550
+لسهخصوصا ان انت سنة أولى هتتعلم ان فلان مريح و ..
+
+244
+00:18:05,550 --> 00:18:10,270
+واسع ممكن يتقبل فلان ضيق ومايرضاش يتكلم ولا كلمة و
+
+245
+00:18:10,270 --> 00:18:14,250
+أحيانا المريح و الواسع هذا كمان ظروفه الشخصية ممكن
+
+246
+00:18:14,250 --> 00:18:19,150
+تنعكس سلبا على سلوكه في الجامعة فما تحاول .. فلو
+
+247
+00:18:19,150 --> 00:18:24,570
+غلط .. لو غلط حاول .. لأ مش تتجنبه إذا في مجال انك
+
+248
+00:18:24,570 --> 00:18:27,810
+تسأل سؤال و تكون لطيف تخرجها أحدثك عن حادثة أصارت
+
+249
+00:18:27,810 --> 00:18:28,610
+معايا أنا في الماجستير
+
+250
+00:18:32,060 --> 00:18:35,120
+الدكتور كان بيشرح علنا في مادة تبادل نظر عن كده
+
+251
+00:18:35,120 --> 00:18:40,120
+ويحتاج لإثبات شغلة رياضية فأثبت الدكتور في لحظة من
+
+252
+00:18:40,120 --> 00:18:44,780
+الخطوات أخطأ أخطأ وبالتالي بعد هيك بداتيش الأمور
+
+253
+00:18:44,780 --> 00:18:50,180
+بتروح في منحة مش صحيح طب أنا لإنش واجبي بقول إن
+
+254
+00:18:50,180 --> 00:18:55,290
+أنا أحاول أصحح بس أنا ما بعرف كويسفحاولت .. رفعت
+
+255
+00:18:55,290 --> 00:18:58,490
+.. فكرت شويه و رفعت إيدي، بعدين جاء دكتور، تفضل،
+
+256
+00:18:58,490 --> 00:19:02,190
+قلت له دكتور، في بالي برهان يعني مش عارف .. مش
+
+257
+00:19:02,190 --> 00:19:07,330
+عارف صح ولا غلط، ممكن يكون صح؟ جال يقول .. طلعت
+
+258
+00:19:07,330 --> 00:19:09,830
+على لوحه و كتبت البرهان، كتبت البرهان صحيح مية في
+
+259
+00:19:09,830 --> 00:19:14,210
+المية، فاطلع فيه هيك من فوق لتحت، جال هيك علموك
+
+260
+00:19:14,210 --> 00:19:20,270
+رياضيات؟ يعني لأن هو بيقول إن البرهان تبعي كان
+
+261
+00:19:20,270 --> 00:19:27,890
+خاطئسكّرت ثمّي شكرا يا دكتور و قعدت واحد من الشباب
+
+262
+00:19:27,890 --> 00:19:32,310
+اللي كان معانا قال
+
+263
+00:19:32,310 --> 00:19:36,410
+لي يا دكتور فلان super في الرياضيات و المعيد كان
+
+264
+00:19:36,410 --> 00:19:40,170
+في الجامعة و بدرس مواد رياضيات مش عارفاش لو بتطلع
+
+265
+00:19:40,170 --> 00:19:45,390
+فيها كمان مرة بقولليه و هيك بتعلم القلاب؟ اذا
+
+266
+00:19:45,390 --> 00:19:48,070
+انتوا سمعتوا صوتي في ال magister هو سمعوا بعد هيك
+
+267
+00:19:48,070 --> 00:19:53,450
+خلاص التزامت طول الفصلبأسمع منه وبحل حسب ما أنا
+
+268
+00:19:53,450 --> 00:19:57,490
+إيش مقتنع وللأسف كانت أقل المادة حصلت عليها علامات
+
+269
+00:19:57,490 --> 00:20:03,770
+87 anyway فانت الآن بدك دايما تكون لابق والنبي صلى
+
+270
+00:20:03,770 --> 00:20:06,670
+الله عليه وسلم قال ما كان لينه في شيء أو رفقه في
+
+271
+00:20:06,670 --> 00:20:09,530
+شيء إلا زنه أو كما قال صلى الله عليه وسلم وبالتالي
+
+272
+00:20:09,530 --> 00:20:13,890
+لو أنا غلطك أنا مش ملك عفوا أنا بشر و الخطأ وارد
+
+273
+00:20:13,890 --> 00:20:19,070
+جدا عندي فانت إيش دورك تصوّبني أو تقومني بشكل صحيح
+
+274
+00:20:19,070 --> 00:20:25,540
+طيبالسؤال اللي بيقرح نفسه دايماً هل الرياضيات
+
+275
+00:20:25,540 --> 00:20:33,600
+صعبة؟ كم واحد بيقول الرياضيات صعبة؟ ماتخافش، هاه؟
+
+276
+00:20:33,600 --> 00:20:36,660
+واحد، اتنين، تلاتة، اربعة، خمسة، ستة، كويس، كم
+
+277
+00:20:36,660 --> 00:20:41,180
+واحد بيقول الرياضيات سهلة؟ اه، لا، اغلبية، اغلبية،
+
+278
+00:20:41,180 --> 00:20:46,080
+كويس، شوفوا يا شباب في في الرياضيات مواد حتما صعبة
+
+279
+00:20:47,500 --> 00:20:52,760
+حتما انها صعبة و بتحتاج لذهن عالي جدا متوقع جدا
+
+280
+00:20:52,760 --> 00:20:59,060
+عشان تقدر ايش تفهمها و تقدر تبني تصورات عليها لكن
+
+281
+00:20:59,060 --> 00:21:03,240
+لما احنا بيش نتكلم في تخصصنا هنا بتكلم على
+
+282
+00:21:03,240 --> 00:21:09,900
+الرياضيات التطبيقية هذا أسهل ما يمكن من الرياضيات
+
+283
+00:21:09,900 --> 00:21:14,610
+عارف ليش؟لأنه دايما مرتبط بشغلة انت بتقدر تستوعبها
+
+284
+00:21:14,610 --> 00:21:17,810
+بكل سهولة بتشوفه في أرض الواقع لكن لما بتكلم على
+
+285
+00:21:17,810 --> 00:21:23,290
+الرياضيات المجردة تمام؟ زي التحليل .. التحليل
+
+286
+00:21:23,290 --> 00:21:27,070
+الرياضي أو ال ..Topology مادة اسمة Topology في
+
+287
+00:21:27,070 --> 00:21:30,590
+رياضيات بدها تخيل واسع يعني بتبدأ تنجلك ل multi
+
+288
+00:21:30,590 --> 00:21:34,790
+spaces وبدك ذهنك ومخيلتك تكون أوسع من ال spaces
+
+289
+00:21:34,790 --> 00:21:38,010
+اللي بدك تنتقلها عشان تستوعب الكلام اللي بصير فحقا
+
+290
+00:21:38,010 --> 00:21:41,250
+هيكون في وجهات نظر لكن الأصل في الرياضيات
+
+291
+00:21:41,250 --> 00:21:45,470
+التطبيقية الأمر يكون سهل و under control احنا
+
+292
+00:21:45,470 --> 00:21:51,100
+تخصصنا او مادة نهانرياضية تطبيقية لأن كل شغلة من
+
+293
+00:21:51,100 --> 00:21:54,780
+البداية حاجة يقولك هذا الموضوع هيخدمك في كذا زي ما
+
+294
+00:21:54,780 --> 00:21:58,520
+قبل شوية رسمنا مثال الظل حاجة يقولك إن الموضوع هذا
+
+295
+00:21:58,520 --> 00:22:01,040
+بيخدمك في التصميم أو في رسمك كذا عشان الظل يكون
+
+296
+00:22:01,040 --> 00:22:04,440
+متناسب مع الشجرة ومصدر الضوء اتجاهه اللي انت
+
+297
+00:22:04,440 --> 00:22:14,270
+اشتغلت عليه وبالتالي مواضيع زي ال vectorsإذا إنا
+
+298
+00:22:14,270 --> 00:22:22,630
+ماقدرناش نحطها في نظام عملي مستوعبه صعب وإذا كان
+
+299
+00:22:22,630 --> 00:22:26,250
+في حد في التنوية درس كان علمي ودرس تفاضل وتكامل
+
+300
+00:22:26,250 --> 00:22:29,510
+لما اتكلم على التكامل وكان بيحصل على شكل المخروط
+
+301
+00:22:29,510 --> 00:22:32,670
+أو على شكل القبعة المكسيكية أو ما شابه هذا الموضوع
+
+302
+00:22:32,670 --> 00:22:35,110
+أنا متأكد أن أنت ماانسيتهاش لأن أنا ماانسيتهاش من
+
+303
+00:22:35,110 --> 00:22:39,450
+جبلكتمام؟ ليش؟ لأن الرسمة فعليا طبيعة الدالة اللي
+
+304
+00:22:39,450 --> 00:22:42,830
+موجودة وصلت لرسمة أنا مش قادر أنساها لكن في دوال
+
+305
+00:22:42,830 --> 00:22:47,350
+حتما بتنتسب بتتذكروا .. او في حد بيقدر يفلق ..
+
+306
+00:22:47,350 --> 00:22:54,210
+يشوف الفيلم هذا؟ ايش اسم الفيلم هذا؟ بازياطير؟ لأ
+
+307
+00:22:54,210 --> 00:22:59,760
+بازياطير و هذا ال .. اه Toy Storyقصة دمية أو حكاية
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+أو مع بعض جيبه عشان نشوف الناس اللي اشتغلت على ال
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+movie
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+نفسه جديش اتكلم في الرياضيات
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+الصوت مش كتير انا هروح امشي معاك لمجموعة مفاصل في
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+الصورة طبعا هذا واحد من ال Pixar بيكسار تمام وكان
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+317
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+319
+00:23:56,600 --> 00:23:59,480
+geometry يعني الآن بتتكلم على ال geometry بتتكلم
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+320
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+على أبعاد الشباب طول وارتفاع وسمك إلى آخر حسب ال
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+object اللي موجود عندي هنا طيب بعد هيكجال إحنا
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+تمام؟ فعليا شاف حجم الدمية مقارة بالقفل صاحب
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+00:24:22,360 --> 00:24:27,140
+الدمية لما كان بيحملها و بمشي فيها، مصبوط؟ لو دججت
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+أنت في اللقطة هذه عرفت بمعنىالـ .. اللهم صليوا على
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+00:24:32,060 --> 00:24:36,080
+السيد محمد معرض النسبة الحقيقية للدمية للإنسان و
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+00:24:36,080 --> 00:24:39,200
+لو اتخيلت أي قفل في الحارة أو عندك في البيت و ماسك
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+329
+00:24:39,200 --> 00:24:43,280
+الدم فعالين هتلاحقوا تقريبا نفس النسبة اللي موجودة
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+330
+00:24:43,280 --> 00:24:47,100
+ما بين الاتنين طبعا هو بيقول بيكسار طبعا بتقول هاي
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+331
+00:24:47,100 --> 00:24:51,580
+ال designer تبعنا اللي كان بيشتغل على ال .. على ال
+
+332
+00:24:51,580 --> 00:24:55,340
+movies و اشتغلوا على Nemo Finding Nemo
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+333
+00:24:58,630 --> 00:25:03,490
+هل تتذكرون؟ جامعة المتوحشين؟ جامعة المتوحشين، هذا
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+334
+00:25:03,490 --> 00:25:07,650
+أنا مش فاكر الشوء، انا اوينكو ماشوفتهوش anyway بعد
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+335
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+هيك بدأ يتكلم ان احنا انتقلنا لمرحلة تانية، هيلاحظ
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+336
+00:25:12,490 --> 00:25:17,130
+ان هو جايب شغلة في إيده هان، ويقول هي الكف، عملنا
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+337
+00:25:17,130 --> 00:25:20,610
+لها design وصورناها وبدأنا إيش لما بدنا نحرك كل
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+00:25:20,610 --> 00:25:21,550
+شغلة بسيطة فيها
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+339
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+قال لك لو أنا بدي مسافة، لو كنت بدي شغلة يعني الآن
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+لما الولد رفع الدمية من إيدها الدمية من الجماش،
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+341
+00:25:33,910 --> 00:25:37,430
+إيش الأصل اللي تصير فيها؟ تتدلة، مظبوط ولا لأ؟
+
+342
+00:25:37,430 --> 00:25:40,790
+فانت رفعت شغلة، انت تخيل انت رفعتها من الإيد فهي
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+343
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+حاطمة ليش؟ وكل ذاته كان موجود حسب الحساب الرياضيات
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+344
+00:25:45,030 --> 00:25:49,330
+التطبيقية البسيطة طبعا هنا في شغلة سبقتك فيها أنا
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+345
+00:25:49,330 --> 00:25:52,330
+هنا لما اتكلم على مجموعة من المصطلحات
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+346
+00:25:55,060 --> 00:26:00,480
+بتكلم فيها على ال .. برضه في الـ Geometry بالسمع
+
+347
+00:26:00,480 --> 00:26:04,440
+Scale و Rotation و Transformation لإن جديش تعمل
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+348
+00:26:04,440 --> 00:26:10,240
+zoom الآن أديك مثال آخر لو اتخيلنا أنا هنا وبطلع
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+349
+00:26:10,240 --> 00:26:16,330
+باتجاه الباب مدى الرؤية تبع جديش ارتفاع الشباب؟أنا
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+350
+00:26:16,330 --> 00:26:20,190
+شايف الباب من تحت والسجن، نظرة واحدة، مصبوط؟ طب لو
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+351
+00:26:20,190 --> 00:26:24,570
+أرجعت أكتر للآخر، الأصل بشيوف تصير مدى الرؤية تبع
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+352
+00:26:24,570 --> 00:26:29,630
+بين قوسين، لو أنا تخيلت أن هذه هي الكاميرا، هاي حد
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+353
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+الكاميرا، تمام؟ هان، طب هان؟ هتكون أوسعمصبوط؟ وهذا
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+354
+00:26:38,190 --> 00:26:40,770
+الكلام لما بتجرب الكاميرا و بتبعد عن ال object في
+
+355
+00:26:40,770 --> 00:26:44,230
+الأفلام ال animation واضح جدا استخدامه دائما لما
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+356
+00:26:44,230 --> 00:26:46,990
+بيجيبوا معرضة مثلا بين ال Nemo و القرش في البحر
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+357
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+بيجيبوها من بعيد و لما بيقرب من فم القرش بتحس ان
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+358
+00:26:50,430 --> 00:26:54,750
+فم القرش صاراش بحجم الشاشة هذه ال animation أو ال
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+359
+00:26:54,750 --> 00:26:58,950
+scaling هذا لو ماكانش بشكل صحيح بتصير ال movie out
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+360
+00:26:58,950 --> 00:27:02,550
+of normal life برا الحياة الحقيقية وبالتالي بيفقد
+
+361
+00:27:02,550 --> 00:27:06,970
+هذه الأفلام اكتسبت شهرتهالأن كل Animation فيها
+
+362
+00:27:06,970 --> 00:27:10,750
+مضبوطة قاعدة رياضية صحيحة 100% وحنشوف كمان شوية
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+مجموعة من الأمثلة اللي بنشتغل عليها طيب شوف واحدة
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+من التطبيقات البسيطة انت ايش شايف؟ شايف الظلال
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+00:27:20,070 --> 00:27:23,850
+قاعدة بتترقص، مصبوط ولا لأ؟ الظلال هذه عبارة
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+366
+00:27:23,850 --> 00:27:26,650
+لمزهريتين أو زهريتين موجودات على الطاولة لكن اللي
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+00:27:26,650 --> 00:27:32,530
+بتحرك مصدر الضوءلما بجرب الضوء منهم بتشتد الإضاءة
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+00:27:32,530 --> 00:27:36,990
+بشكل معين وواضح ان الضوء بتحرك بحركة دورانية فالان
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+369
+00:27:36,990 --> 00:27:39,930
+على الرغم ان ال object هذه او الأشياء هذه ثابتة
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+00:27:39,930 --> 00:27:45,170
+الا غير ان الظلال تبعتها صارت وكأنها بتتحرك او
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+بتلف حركة دورانية هذا الكلام مستحيل ينضبط بدون
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+372
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+ماتطبق عليه قواعد رياضيات في موضوع الدوران او
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+373
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+الالتفاثعالجة تبقى عندي الكثير من الوقت أجيب أسماء
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+374
+00:28:00,980 --> 00:28:05,860
+أفلام هتقول والله دكتورنا هذا مشلط احذرتوا Matrix؟
+
+375
+00:28:05,860 --> 00:28:12,920
+تمام؟ تمام من أحلى الشغلات أو من أجمل الشغلات اللي
+
+376
+00:28:12,920 --> 00:28:17,360
+ظهرت في فيلم Matrix الدوامة الهوائية اللي كانت
+
+377
+00:28:17,360 --> 00:28:22,000
+بتظهر خلف الرصاصات تمام؟
+
+378
+00:28:22,000 --> 00:28:27,220
+صوتها صوت وحجم الدوامة من لحظة الإنطلاق لحد وصول
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+الهدفتلاحظ إن الدوامة تبدأ تطلع من فوهة المسدس أو
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+البندقية و بعد هيك بتبدأ تتحرك الدوامة ورا الرصاصة
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+381
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+تكون عاملة زي المخروط بغض
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+النظر بس في الآخر تحسها فعليا الدوامة موجودة و لما
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+00:28:45,960 --> 00:28:50,160
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+00:28:50,160 --> 00:28:55,490
+simulation حقيقي لموضوع الرصاصةبغض النظر عن أنه
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+385
+00:28:55,490 --> 00:28:58,210
+فعليًا كان خيال علمي، أو خيال، خلّنا بلاش نقول
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+386
+00:28:58,210 --> 00:29:01,390
+خيال علمي، خيال، إلا غير إنه فيه بعض الشغلات اللي
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+387
+00:29:01,390 --> 00:29:04,650
+نجح فيها الفيلم ودتك، شباب، ادري بالك الشغلات
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+388
+00:29:04,650 --> 00:29:07,810
+البسيطة اللي زي Hi، هم اللي بركزوا عليها في لحظة
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+389
+00:29:07,810 --> 00:29:12,310
+الدعاية، لأن الناس دائمًا، دائمًا، بتحب تروح للشغل
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+390
+00:29:12,310 --> 00:29:15,430
+الأقرب لحياتها ولحقيقتها، للحقيقة اللي موجودة
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+391
+00:29:15,430 --> 00:29:19,920
+فيها، الان لو تخيل إنه أنا في عندي طيارة،في الجو و
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+392
+00:29:19,920 --> 00:29:23,920
+أثناء الاستعراضات العسكرية الطيران بنفخ بعض
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+00:29:23,920 --> 00:29:30,400
+الحركات البهلوانية بنسميها تمام؟ تخيل أن هذه طيارة
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+394
+00:29:30,400 --> 00:29:36,800
+كم اتجاه ممكن يتلف؟ واحد اتنين يعني ايه لو أجينا و
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+395
+00:29:36,800 --> 00:29:40,300
+أتكلمنا على المحاور؟
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+396
+00:29:40,300 --> 00:29:48,120
+هذه X وهذه Yوهاي Z مافيش مجال غير نرسمهم على له
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+397
+00:29:48,120 --> 00:29:54,940
+حكت، مظبوط؟ كام دوران بتقدر تلف الطيارة؟ هاي كفة
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+398
+00:29:54,940 --> 00:30:01,360
+إيدي افترض انها، هاي بتقدر تلف هيك؟ مستحيل،
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+399
+00:30:01,360 --> 00:30:05,880
+مستحيل، ليش؟ لأنه إذا لفت هيك، معناته أنك تغير
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+400
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+اتجاه قوة الدفع تبعتها، تمام؟معنى انها هتنكسر
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+401
+00:30:11,320 --> 00:30:14,820
+تنكسر ال body تبعتها لأن هي أما لها طيارة نتكلم
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+402
+00:30:14,820 --> 00:30:18,000
+مثلا على ال F12 على سبيل المثال تتحرك أسرع من
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+403
+00:30:18,000 --> 00:30:22,220
+الضوء أعفر أسرع من الصوت تتحرك بأسرع من الصوت فلما
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+404
+00:30:22,220 --> 00:30:28,320
+بدها ال TJ تجلب هتنكسر حتما لأن السرعة تتدفع ورا
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+405
+00:30:29,400 --> 00:30:32,620
+هتكون قوية جدا وبالتالي ال craft هتكسر وبالتالي
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+00:30:32,620 --> 00:30:35,880
+مستحيل تشوف rotation على الرغم ان كل اهل العلم
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+00:30:35,880 --> 00:30:40,020
+بيقولوا ان اي object بيقدر يدور في اي بعد من
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+408
+00:30:40,020 --> 00:30:45,060
+الأبعاد التلاتة اللي بدك اياها يمين ويسار الامام و
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+00:30:45,060 --> 00:30:49,500
+الخلف او بالزاوية حتى مش مشكلةزي ما لو انا افترضت
+
+410
+00:30:49,500 --> 00:30:52,320
+انه هي الجوال مافيش مشكلة انه يعمل rotation لليمين
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+411
+00:30:52,320 --> 00:30:56,100
+للامام او الخلف مافيش مشكلة انه يعمل rotation يمين
+
+412
+00:30:56,100 --> 00:30:59,360
+او يسار وكذلك لو فكرت ان انا امسكه من الزوايا هيك
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+00:30:59,360 --> 00:31:03,200
+يلف rotation مظبوط على اي اتجاه مافيش فيه مشكلة
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+لكن عند الـcraft وبعض الشغلات الحقيقية هذه او
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+00:31:06,880 --> 00:31:11,060
+الـcritical مش هتصبق معانا الدوران هذه المحاور
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+00:31:11,060 --> 00:31:17,410
+هنتعرف عليها وعلى مسمياتها عندش لما نتكلم لهالـ
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+417
+00:31:17,410 --> 00:31:19,870
+transformation أو الـ rotation على ال objects اللي
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+00:31:19,870 --> 00:31:28,210
+موجودة عندها أخينا بيلعب سلة قاعد طيب
+
+419
+00:31:28,210 --> 00:31:33,370
+ال curve أيوة
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+420
+00:31:33,370 --> 00:31:39,730
+الحركة
+
+421
+00:31:39,730 --> 00:31:45,780
+هاد ايش ضبطها؟ال designer بكل بساطة بكل بساطة انت
+
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+00:31:45,780 --> 00:31:49,440
+بتحط ايش ال curve اللي بتتحرك عليه ال object اللي
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+00:31:49,440 --> 00:31:53,420
+موجود عندك لو انا اجيت في المكان هذا امسكت كورة
+
+424
+00:31:53,420 --> 00:31:58,540
+امسكت كورة و خبطتها في الأرض باتجاه بحيث انها
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+00:31:58,540 --> 00:32:05,300
+تتبحرش للامام السؤال الأول اول ارتدادة لها هتكون
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+00:32:06,130 --> 00:32:11,670
+أعلى ارتدادة تمام اللي بعدها أجل وبناء على قوة
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+00:32:11,670 --> 00:32:14,150
+الارتدادة الجوس اللي انصنع اللي هي المسافة اللي
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+428
+00:32:14,150 --> 00:32:19,450
+جطعتها هتتغير لحد ما تصل لمرحلة في المنطقة هذه في
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+429
+00:32:19,450 --> 00:32:22,270
+الأرض وبتصير بعد هيك تثبت الكورة في مكانها هذا
+
+430
+00:32:22,270 --> 00:32:25,730
+الكلام لما انت بدك تعكسه على تصميم ال animation
+
+431
+00:32:25,730 --> 00:32:31,090
+لازم تكون اشتغلت ضمن معادلة زي هيك وإلا بتروح واحد
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+432
+00:32:31,090 --> 00:32:33,790
+يقول طب يعني دكتور انا بدك توب المعادلة لأ يا
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+433
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+صاحبيأحنا هادن قاعدين بنوّهلك للمعادلة تهدي لأن
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+00:32:37,120 --> 00:32:41,620
+معظم برامج التصميم تمام؟ بتقولك اتفضل هي المعادلة
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+00:32:41,620 --> 00:32:46,340
+هي موجودة بس حدد لل object و بعديها بتعين انت إيش
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+00:32:46,340 --> 00:32:52,500
+الحركة الموجودة أخينا هادك نط من قيارة أو حد عزيزي
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+مدفع تقريبا نفس شكلة الكورة اللي حكينا عليها الآن
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+00:32:57,960 --> 00:33:01,600
+بس طبعا واقع البشر غير هيك ولا شو رايك؟
+
+439
+00:33:05,380 --> 00:33:13,360
+شو هذه؟ نقطف مية فيها design؟ فيها تصميم؟ أه فيها
+
+440
+00:33:13,360 --> 00:33:19,560
+تصميم فيها رياضيات؟ فيها رياضيات في حد بيقدر
+
+441
+00:33:19,560 --> 00:33:21,760
+يقوللي إيش المعادلات اللي ممكن تكون مستخدمة؟
+
+442
+00:33:27,290 --> 00:33:31,130
+الان بسم الله بقول كتالي ها قطرة الميه بتنزل في
+
+443
+00:33:31,130 --> 00:33:36,750
+الميه تمام؟ بما ان سطح الميه متماسك ضمن قوة معينة
+
+444
+00:33:36,750 --> 00:33:40,550
+جزيئات الميه متماسكة القطرة هي شو تساوي؟ بتضغط
+
+445
+00:33:40,550 --> 00:33:44,370
+بتضغط بتضغط تسحب سطح الميه معاها لجوا بعد هيك
+
+446
+00:33:44,370 --> 00:33:48,750
+السطح بيبطل متحمل جوة نقطة الميه هاي فاش بيساوي؟
+
+447
+00:33:48,750 --> 00:33:53,730
+بيسيبهابتسيبها فيبرد تد الصطحى بتطريش تاني للأعلى
+
+448
+00:33:53,730 --> 00:33:58,690
+لاحظوا الداخل والخارج فهذا عمل الاهتزاز اللي صار
+
+449
+00:33:58,690 --> 00:34:01,650
+على الميه طب الاهتزاز كيف صار؟ صار باتجاهه التاني
+
+450
+00:34:01,650 --> 00:34:06,570
+لأ؟ لأ صار في شكل دائرة و بدأ .. و اللي بروح على
+
+451
+00:34:06,570 --> 00:34:09,110
+بحر أو على بركة و برمي حجر بشوفه بعينه هذا برضه
+
+452
+00:34:09,110 --> 00:34:13,370
+الكلام هذه المعادلة كلنا بنعرفها معادلة الـSin
+
+453
+00:34:13,370 --> 00:34:19,270
+والـCos جيب الزاوية وجات الزاوية تمام؟هي اللي
+
+454
+00:34:19,270 --> 00:34:24,710
+بترسم ال curve أو الدوائر هذه بدونهم مستحيل تقدر
+
+455
+00:34:24,710 --> 00:34:28,530
+ترتبط الدوائر هاي بالشكل هذا لأن لو انت فكرت تحط
+
+456
+00:34:28,530 --> 00:34:34,330
+الدوائر صغيرة في داخل بعضها وتكبر شوية شوية ممكن
+
+457
+00:34:34,330 --> 00:34:37,690
+تكون حجم الدوائر منطقي لكن الانتقال من دائرة
+
+458
+00:34:37,690 --> 00:34:43,630
+لتانية مش انتقال سلس هتحس ان في ايش جطع فاللي
+
+459
+00:34:43,630 --> 00:34:47,750
+بيحكم ان احنا بنعرف ال sign هي
+
+460
+00:34:49,260 --> 00:34:52,900
+هي فعليا موجة والـ cosine أكسها وبالتالي تكرارها
+
+461
+00:34:52,900 --> 00:34:57,340
+هو اللي بتحكم طيب بعد فترة لو انا افترض ان الدارب
+
+462
+00:34:57,340 --> 00:35:02,160
+تكبر لها فعليا هتروح الدارب هتموت الموجة اللي صارت
+
+463
+00:35:02,160 --> 00:35:06,080
+هتنتهي ليش لأن مقاومة الميه كل هذه التحديدات
+
+464
+00:35:06,080 --> 00:35:13,800
+الشباب بتشغلها بالكمبيوتر نصيحة
+
+465
+00:35:16,730 --> 00:35:23,710
+عمرك ما تقول ان الشغل حظ خصوصا فيما يتعلق في موضوع
+
+466
+00:35:23,710 --> 00:35:31,650
+الدراسة والعلم الشغل اجتهاد عباس العقد تمام يسموه
+
+467
+00:35:31,650 --> 00:35:36,730
+عبقري من عباقرة العرب بيقول ان العبقرية العبقرية
+
+468
+00:35:37,790 --> 00:35:44,250
+اجتهاد 99% منها اجتهاد أو 90% منها اجتهاد و 10%
+
+469
+00:35:44,250 --> 00:35:50,070
+منها هبة من الله تبارك وتعالى تخيل و بيقول الناس
+
+470
+00:35:50,070 --> 00:35:55,170
+اللي .. الناس اللي بيشتغلوا في التنمية البشرية انه
+
+471
+00:35:55,170 --> 00:36:01,870
+بالاجتهاد ترقى إلى مراكز أو مراكز المتميزين و
+
+472
+00:36:01,870 --> 00:36:05,350
+العلماء و بتنفسهم و ممكن تصير أفضل منهم واحد ذكي
+
+473
+00:36:05,350 --> 00:36:10,830
+لكن مابحبش يدرستأكد تماماً جدّا بدو يكون ذكاءه
+
+474
+00:36:10,830 --> 00:36:15,990
+عالي بدون الدراسة والمتابعة مش هيقدر يجيب كل شيء
+
+475
+00:36:15,990 --> 00:36:22,210
+لكن واحد زي حالاتي عادي بالاجتهاد كنت بجيباش أعلى
+
+476
+00:36:22,210 --> 00:36:26,810
+درجات ممكنة عشان هيك مع قليل من الحفظ أبوين الحفظ
+
+477
+00:36:26,810 --> 00:36:29,810
+هذا أو من وين بتجيل مننا من الله تعالى علينا فيك
+
+478
+00:36:29,810 --> 00:36:33,550
+شغلة لما تقدر تتوجع أن أياد الشامي هيجيبك سؤال في
+
+479
+00:36:33,550 --> 00:36:37,380
+الموضوع الفلانيهي ذكر منك ان انت قدرت تحدد ان
+
+480
+00:36:37,380 --> 00:36:41,120
+والله ايه احدد ان ممكن يسألي ايش هتمنى من الله
+
+481
+00:36:41,120 --> 00:36:44,520
+تبارك وتعالى الهمك اياه عشان انت تركز عليك مواضيع
+
+482
+00:36:44,520 --> 00:36:50,960
+اكتر من غيرها تكون فعليا تخمينك وظنك وافق الامتحان
+
+483
+00:36:50,960 --> 00:36:55,700
+الواقعي اللي موجود عندها هذا اللي عند اليوم فيما
+
+484
+00:36:55,700 --> 00:37:00,120
+يخص مقدم يعني للمادة شو رايكوا في المادة؟ الآن بدي
+
+485
+00:37:00,120 --> 00:37:03,280
+اسمع منك شو رايك في المادة؟ وإيش بتتوقع منها؟
+
+486
+00:37:13,650 --> 00:37:17,170
+الذهن بالمناسبة هذا صفة الناس اللي بتشتغل في
+
+487
+00:37:17,170 --> 00:37:22,370
+الكمبيوتر لازم ذهنك يكون مفتّح باستمرار طول ما أنت
+
+488
+00:37:22,370 --> 00:37:25,390
+بتبرنش طول ما أنت بتعمل design طول ما أنت بتشتغل
+
+489
+00:37:25,390 --> 00:37:28,010
+لازم غير الشباب
+
+490
+00:37:31,460 --> 00:37:36,140
+أه، الآن اسمينا بسأل مادة زي هذه اسمها الرياضيات
+
+491
+00:37:36,140 --> 00:37:39,640
+for computer للوسائط المتعددة بالعربي أو لرسومات
+
+492
+00:37:39,640 --> 00:37:42,900
+الحسوب، وين بتفيدنا؟ صاحبي أنت الآن في عندك مجموعة
+
+493
+00:37:42,900 --> 00:37:48,480
+من المواد، واحدة اسمها التجربة المستخدم للهواتف
+
+494
+00:37:48,480 --> 00:37:53,060
+الذكية، مادة تصميم تتكلم عن UX UI، بتتكلم إن كيف
+
+495
+00:37:53,060 --> 00:37:57,790
+أنت بدك تعمل واجهةتتناسب مع المستخدم تبقى على
+
+496
+00:37:57,790 --> 00:38:00,710
+خبرته في التعاول الان الواجهة انت ماتاكدش تقولي
+
+497
+00:38:00,710 --> 00:38:04,250
+والله انا هاي البرنامج تبعي هاي شاشة ال mobile بدو
+
+498
+00:38:04,250 --> 00:38:07,890
+يتجسم ان مثلا في عندي شاشة رئيسية فوق في عندي تلات
+
+499
+00:38:07,890 --> 00:38:14,910
+مفاتيح الان الرسمة هذه الاصل لما ترسمها بدك ترسمها
+
+500
+00:38:14,910 --> 00:38:18,330
+ضمن scale معين نسبة وتناسب ما بين ال buttons وحجم
+
+501
+00:38:18,330 --> 00:38:22,700
+الشاشة والمفاتيح و لو خصوصاإذا أنا كان الـ target
+
+502
+00:38:22,700 --> 00:38:30,080
+تبعي أكثر من جهاز يعني J5 J3 و J1 مثلا الأحجام
+
+503
+00:38:30,080 --> 00:38:35,040
+الشاشة مختلفة هل بتقدر تحط قيمة ثابت للـ .. لأ
+
+504
+00:38:35,040 --> 00:38:39,880
+فالان انت بتصير تعتمد على scale نسبةهذه واحدة
+
+505
+00:38:39,880 --> 00:38:44,080
+اتنين في عندك مواد اسمها برمجة ألعاب الهواتف
+
+506
+00:38:44,080 --> 00:38:48,540
+الذكية برمجة الألعاب أبسطها لو احنا نتخيل إنه برضه
+
+507
+00:38:48,540 --> 00:38:51,740
+هي الشاشة بتذكرها اللعبة هاي اللي فيها مجموعة من
+
+508
+00:38:51,740 --> 00:38:57,140
+الأحجار مصفوفة فوق وفي عندك كرة تسقط على لوحها و
+
+509
+00:38:57,140 --> 00:39:03,300
+بدها ترتد عشان تكسرهم هدول Geometry هندسة أو حساب
+
+510
+00:39:03,300 --> 00:39:09,270
+مثلثات بالدرجة الأولى فانت عشان تقدراتسوّبها بدك
+
+511
+00:39:09,270 --> 00:39:15,310
+تعمل ارتداد، مظبوط؟ القوة بيحتحللها، والتحليل عشان
+
+512
+00:39:15,310 --> 00:39:18,810
+يكون صح لازم تكون فاهمهاش رياضيات، فحتما هتلاقيها
+
+513
+00:39:18,810 --> 00:39:21,470
+موجودة ان شاء الله تبارك وتعالى كل ما اتقدمت اكتر
+
+514
+00:39:21,470 --> 00:39:25,190
+في المادة او في التخصص، اه شباب غيروا؟ responsive
+
+515
+00:39:25,190 --> 00:39:30,320
+screen صحيحالاسبيل اللي بقول كمان في ال web على
+
+516
+00:39:30,320 --> 00:39:34,540
+نمط ال mobile هان اللي هي الشاشات المستجيبة
+
+517
+00:39:34,540 --> 00:39:37,700
+بنسميها أو responsive screen انه انا فعليا الشاشة
+
+518
+00:39:37,700 --> 00:39:41,080
+بتتغير ممكن اعرض على laptop ممكن اعرض على شاشة
+
+519
+00:39:41,080 --> 00:39:43,740
+mobile ممكن اعرض على tablet ممكن اعرض على شاشة
+
+520
+00:39:43,740 --> 00:39:48,780
+اربعين بوصة فالاصل ان الشاشة او ال design تبعي كون
+
+521
+00:39:48,780 --> 00:39:51,980
+قابل للتغيير وهذا مابصير بأي حالة من الأحوال الا
+
+522
+00:39:51,980 --> 00:39:55,900
+لو اعتمد على النسب ما بين العناصر الموجودة والشاشة
+
+523
+00:39:55,900 --> 00:40:00,900
+اللي انا بدي اعرض عليها غير شباباللي بالكتاب
+
+524
+00:40:00,900 --> 00:40:03,980
+هحمّلك إياه PDF على ال model إن شاء الله تبارك
+
+525
+00:40:03,980 --> 00:40:06,640
+وتعالى أنا موجود معايا الآن بحمّلك إياه على ال
+
+526
+00:40:06,640 --> 00:40:10,320
+model عادة
+
+527
+00:40:10,320 --> 00:40:14,140
+أنا بأشرح من slides و بحل معاك المسائل بمجرد ال
+
+528
+00:40:14,140 --> 00:40:18,040
+chapter يخلص بقولك اتفضل هاي ال slides موجودة على
+
+529
+00:40:18,040 --> 00:40:21,660
+ال model حمّلها لكن قبل ما يخلص ال chapter بدك
+
+530
+00:40:21,660 --> 00:40:25,680
+تتبع معايا من خلال الكتاب الحمد لله رب العالمين
+
+531
+00:40:25,680 --> 00:40:31,870
+معظمنامعاه جوالات، smartphone أو معاه laptop يعني
+
+532
+00:40:31,870 --> 00:40:36,490
+مش مستحيل إنك تفتحاش الكتاب اللي موجود عندها كان
+
+533
+00:40:36,490 --> 00:40:41,530
+وبالتالي الأول خطوة لازم تسويها مجرد يفتح ال model
+
+534
+00:40:41,530 --> 00:40:44,570
+تاخد الكتاب أو إذا كانت تحب تنظيف الكيية على
+
+535
+00:40:44,570 --> 00:40:48,270
+المجموعة تبع ال mobile اللي موجودة على ال Facebook
+
+536
+00:40:48,270 --> 00:40:51,310
+بنخل الشباب يحملوا الكيية برضه مافيش مشكلة إن شاء
+
+537
+00:40:51,310 --> 00:40:59,000
+الله تبارك وتعالى غير الشباب الأمور تمام؟في
+
+538
+00:40:59,000 --> 00:41:05,960
+الموبايل IOG Mobile Computing اعتقد نعدل الجدول
+
+539
+00:41:05,960 --> 00:41:09,520
+اللي خلاص اه عدله عندك هنا خلاص المحاضرة المصورة
+
+540
+00:41:09,520 --> 00:41:16,230
+نعمكيف بتجيبها؟ الان كل محاضرة تنتين بيعملوا
+
+541
+00:41:16,230 --> 00:41:18,490
+مونتاج عبر ما خلصوا مونتاج و بيحملوا لكيها على
+
+542
+00:41:18,490 --> 00:41:22,750
+صفحة الجامعة ضمن مركز التمييز التعليم الإلكتروني
+
+543
+00:41:22,750 --> 00:41:26,650
+مركز التمييز في الجامعة في كل المساقات المصورة
+
+544
+00:41:26,650 --> 00:41:30,790
+بتروح على الكلية تبعتك كلية technology المعلومات و
+
+545
+00:41:30,790 --> 00:41:33,690
+بتحدد المساق اللي بدك هي ان شاء الله تبارك وتعالى
+
+546
+00:41:33,690 --> 00:41:40,580
+نعم كل المواد لأهذه المادة الآن بتتصور لأول مرة
+
+547
+00:41:40,580 --> 00:41:45,080
+فانت ممكن تتبع الفيديوهات لاحقا لو فاتتك شغلة ما
+
+548
+00:41:45,080 --> 00:41:49,860
+استوعبتهاش اتأخرت عن محاضرة لسبب ما ممكن ايش
+
+549
+00:41:49,860 --> 00:41:54,460
+تلاقيها مواد تانية ممكن تلاقيهم يدرسوها ناس تانين
+
+550
+00:41:54,460 --> 00:41:57,020
+قبل و تلاقيها موجودة كذلك ممكن تستفيد منها
+
+551
+00:41:57,020 --> 00:42:00,960
+المحاضرات
+
+552
+00:42:00,960 --> 00:42:03,180
+بسيطة تستخدم ال google
+
+553
+00:42:12,500 --> 00:42:19,180
+لا هان هان ثابتة بس 201 و خلاص وين
+
+554
+00:42:19,180 --> 00:42:28,440
+مركز التمييز او
+
+555
+00:42:28,440 --> 00:42:31,880
+على جوجل محاضرات مصورة الجامعة الإسلامية هى هى هى
+
+556
+00:42:31,880 --> 00:42:36,440
+هىهي الخدمات الإلكترونية صفحتي الجامعة خدمات
+
+557
+00:42:36,440 --> 00:42:41,300
+إلكترونية التمييز الأكاديمي أو المحاضرات المصورة
+
+558
+00:42:41,300 --> 00:42:48,620
+هاي
+
+559
+00:42:48,620 --> 00:42:50,840
+ناس بتشرح .. هاي الدكتور اسماعيل أستال بيشرح
+
+560
+00:42:50,840 --> 00:42:56,700
+رياضيات طبعا الوظيفة الحديثة هاي كلية تكنولوجيا
+
+561
+00:42:56,700 --> 00:43:01,440
+المعلوماتتكنولوجيا معلومات أو علم حسوب مش هتفرج
+
+562
+00:43:01,440 --> 00:43:06,280
+كتير marketing distribution أسماء المساقات هذه
+
+563
+00:43:06,280 --> 00:43:10,900
+مادة اسمها تصميم منطقي طبعا ممكن أنت تشوف المواد
+
+564
+00:43:10,900 --> 00:43:15,870
+اللي موجودة عندك تمام؟حسب المساقق وبالتالي الأخوان
+
+565
+00:43:15,870 --> 00:43:18,370
+هنا في اللي بيشتغلوا معانا باستمرار بيعملوا update
+
+566
+00:43:18,370 --> 00:43:21,690
+بمجرد خلص المحاضرة بدوا يعملوا إيش مونتاج ممكن
+
+567
+00:43:21,690 --> 00:43:23,870
+مايقدروش يعملوا مونتاج في نفس اللحظة لأنه في تكون
+
+568
+00:43:23,870 --> 00:43:27,610
+في ورانا محاضرة مصورة تانية تمام فبتأخر المونتاج
+
+569
+00:43:27,610 --> 00:43:31,330
+لآخر النهار أو لتاني يوم بس في الآخر ما بينقض
+
+570
+00:43:31,330 --> 00:43:33,750
+اليوم والتاني إلا غير بتكون المحاضرة موجودة على
+
+571
+00:43:33,750 --> 00:43:38,470
+الصفحة وبتقدر تشاهدها ان شاء الله تبارك وتعالى آه
+
+572
+00:43:38,470 --> 00:43:42,450
+يا شباب في أي شيء تاني؟الله يعطيكم العافية وان شاء
+
+573
+00:43:42,450 --> 00:43:44,790
+الله .. ان شاء الله بنشوفكم يوم التلاتة ساعة تسعة
+
+574
+00:43:44,790 --> 00:43:46,850
+و نص نكون في القاعة بإذن الله الله يعطيكم العافية
+
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/VwCz-jOg5Uk.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/VwCz-jOg5Uk.srt
new file mode 100644
index 0000000000000000000000000000000000000000..08cbad14b4e27bc64ee0e490b2d74a03d6dec763
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/VwCz-jOg5Uk.srt
@@ -0,0 +1,2923 @@
+1
+00:00:20,970 --> 00:00:22,910
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:22,910 --> 00:00:26,230
+أهلا وسهلا بكم يا شباب في محاضرتنا الأخيرة اللي هي 
+
+3
+00:00:26,230 --> 00:00:29,530
+.. خلّيني أعتبرها ساعة مراجعة للمادة إن شاء الله
+
+4
+00:00:29,530 --> 00:00:33,750
+تبارك وتعالى، وهحاول في خلال الساعة هاي نحل مع بعض
+
+5
+00:00:33,750 --> 00:00:37,310
+أن نطلع على نموذج امتحان نهائي للمادة اللي هو 
+
+6
+00:00:37,310 --> 00:00:41,390
+امتحان السابق تبع الفصل الأول السابق، وطبعا هذا 
+
+7
+00:00:41,390 --> 00:00:44,750
+كان أول امتحان نهائي للمادة المساق تبعنا لأن مساقه 
+
+8
+00:00:44,750 --> 00:00:49,770
+هي ثاني مرة يدرس فقط.. طيب نبدأ السؤال اختيار من 
+
+9
+00:00:49,770 --> 00:00:55,590
+multiple choice من 18.. من 15 فقرة، وهنبدأ فيهم 
+
+10
+00:00:55,590 --> 00:00:58,750
+واحدة واحدة لأن في مسائل الصح و غلط، الشباب لما 
+
+11
+00:00:58,750 --> 00:01:01,270
+تكون في الرياضيات أو اختيار من متعدد، انتبه..
+
+12
+00:01:01,270 --> 00:01:05,350
+انتبه ممكن يكون الحل في القانون كأنك عارف القانون
+
+13
+00:01:05,350 --> 00:01:08,370
+تنحل المشكلة مثل السؤال الأول اللي موجود عندي هنا 
+
+14
+00:01:08,370 --> 00:01:11,750
+بيجي يقول في السؤال الأول هنا object geometry أنا 
+
+15
+00:01:11,750 --> 00:01:16,900
+في عندي object كمان خصائصه الـ characteristic تبعته
+
+16
+00:01:16,900 --> 00:01:24,460
+will six edges ست حواف have four vertices and four
+
+17
+00:01:24,460 --> 00:01:27,640
+faces يعني بيجي يقول في عندي 3D object احنا اتفقنا
+
+18
+00:01:27,640 --> 00:01:37,210
+object يعني 3D 6 حواف و 4 نقاط و 4 من الأوجه مباشرة
+
+19
+00:01:37,210 --> 00:01:41,970
+نتكلم على الـ Euler formula، الـ Euler formula بقول
+
+20
+00:01:41,970 --> 00:01:47,010
+الـ faces زائد الـ vertices تساوي الـ edge زائد 2
+
+21
+00:01:47,010 --> 00:01:53,970
+الآن الـ edge عندي 6 زائد 2 تمانية، الآن وعندي 4
+
+22
+00:01:53,970 --> 00:01:59,290
+زائد 4 تمانية، معناته الأولى اللي عندي هنا true
+
+23
+00:02:01,330 --> 00:02:06,050
+تمام؟ للحل يا شباب، إيه السؤال هتحسه متلخبط؟
+
+24
+00:02:06,050 --> 00:02:08,770
+ممكن تفهم هتحسه غامض، لكن إذا أنت فعليا درست المادة
+
+25
+00:02:08,770 --> 00:02:11,210
+وعارف إن في عندي Euler formula اللي بتجمع القوانين
+
+26
+00:02:11,210 --> 00:02:15,410
+العناصر هاي أمره سهل، السؤال اللي بعده الـ cos كان
+
+27
+00:02:15,410 --> 00:02:22,890
+ريشو.. ratio، الآن أنا في عندي sin وعندي cosine
+
+28
+00:02:22,890 --> 00:02:27,920
+وعندي tan، بصبوط؟ قلنا الـ Sin الـ Opposite على الـ
+
+29
+00:02:27,920 --> 00:02:31,820
+Hypotenuse، الـ Adjacent على الـ Hypotenuse، الـ
+
+30
+00:02:31,820 --> 00:02:38,160
+Opposite على الـ Adjacent مظبوط، وقلنا فيها إن هي
+
+31
+00:02:38,160 --> 00:02:42,180
+الـ reciprocal المقلبات تبعتهم أو المقاليب تبعتهم
+
+32
+00:02:42,180 --> 00:02:47,440
+اللي هي Cosecant 
+
+33
+00:02:47,440 --> 00:02:51,800
+تمام
+
+34
+00:02:51,800 --> 00:02:59,480
+و Cotangent مباشرة Hypotenuse على Opposite، Hypotenuse 
+
+35
+00:02:59,480 --> 00:03:04,180
+على Adjacent، Adjacent على Opposite، الآن هو مش
+
+36
+00:03:04,180 --> 00:03:07,400
+بيقول إيه، بيقول الـ cosecant اللي هي مقلوب من هاي
+
+37
+00:03:07,400 --> 00:03:13,700
+مقلوب الـ sin ده سؤال امتحان النصف صح؟ للـ angle
+
+38
+00:03:13,700 --> 00:03:17,380
+ستين، الـ sin تبعت الستين قد إيش يا شباب؟ بقولها صفر
+
+39
+00:03:19,490 --> 00:03:24,050
+ثلاثين، خمسة وأربعين، ستين، جذر الثلاث على اثنين
+
+40
+00:03:24,050 --> 00:03:27,470
+هذه الـ Sin، الـ Sin الستين جذر الثلاث على اثنين
+
+41
+00:03:27,470 --> 00:03:30,530
+معناه إن الـ Cosecant بتبعت الأصل كله على جذر 
+
+42
+00:03:30,530 --> 00:03:36,090
+الثلاث، اثنين على جذر الثلاث وبالتالي هذه خاطئة
+
+43
+00:03:36,090 --> 00:03:43,330
+الـ Yaw Angle، الـ Yaw لما اتكلمنا في الـ Rotation في
+
+44
+00:03:43,330 --> 00:03:47,190
+الـ 3D قلنا 
+
+45
+00:03:47,190 --> 00:03:56,380
+XY و Z صح
+
+46
+00:03:56,380 --> 00:04:04,240
+هاي الثلاث زوايا سمناهم roll، الأولى roll، الثانية 
+
+47
+00:04:04,240 --> 00:04:09,100
+pitch roll
+
+48
+00:04:09,100 --> 00:04:23,200
+pitch yaw، الآن الـ yaw angle للـ 3D Rotation عبارة
+
+49
+00:04:23,200 --> 00:04:26,280
+عن الـ Y، عبارة حول الـ Y Axis يعني بتثبت فيها الـ
+
+50
+00:04:26,280 --> 00:04:38,860
+Y Axis صحيحة، مظبوط وبالتالي true، Rotating الـ
+
+51
+00:04:38,860 --> 00:04:44,720
+complex number اللي عندي 180 درجة قلنا Rotate الـ 
+
+52
+00:04:44,720 --> 00:04:45,120
+rotation
+
+53
+00:04:49,490 --> 00:04:56,090
+by 90 يعني أنا بدي اضرب في I، مظبوط؟ لو قال 180
+
+54
+00:04:56,090 --> 00:05:01,190
+درجة بدي اضرب في I تربيع اللي هي سالب واحد
+
+55
+00:05:01,190 --> 00:05:08,550
+rotation الـ complex number 180 درجة anticlockwise
+
+56
+00:05:08,550 --> 00:05:11,930
+مش قضية كتير بالنسبالي، في الآخر أنا بدي اضربه سالب
+
+57
+00:05:11,930 --> 00:05:18,070
+واحد to equal كده إيه سالب واحد، هتصير هذه موجبة
+
+58
+00:05:18,070 --> 00:05:24,670
+بثلاثة وهذه سالب اثنين، إيه غلط، هتلاحظ إن فعليا
+
+59
+00:05:24,670 --> 00:05:29,110
+المسائل الصح وخطأ هي عبارة عن مسائل، تمام بيبقى
+
+60
+00:05:29,110 --> 00:05:32,610
+محمولة وأنت بتقرر وبنبو صينية بيبقى تروح تجرب تحلها
+
+61
+00:05:32,610 --> 00:05:37,600
+على جانب وبينفعش تسيبها هيك كده، كيف يا معتصم؟ عادة 
+
+62
+00:05:37,600 --> 00:05:40,740
+المفروض يكون الناس بتنظره سهل، احنا بتجيبه كمجرسين
+
+63
+00:05:40,740 --> 00:05:45,760
+عشان نخفي عمل بالتصحيح حاليا نوعا ما، تمام؟ وفي
+
+64
+00:05:45,760 --> 00:05:49,700
+بعض الطلاب بيقولك لا يا عمي أنا ممكن إيش ادبر حالي
+
+65
+00:05:49,700 --> 00:05:52,800
+وحل أو تيجي معاه صدفة أو ما شبه، وإن كان المفروض
+
+66
+00:05:52,800 --> 00:05:58,280
+هذا الكلام الصدفة الأصل يا شباب، موضوع الصدفة الأصل
+
+67
+00:05:58,280 --> 00:06:02,730
+ما نأخذه حساب في اعتبارك، الأصل كده أنا بأجتهد بأجتهد
+
+68
+00:06:02,730 --> 00:06:06,850
+عشان أحل كل المسائل، أردت أن أقدر وجه الامتحان سهل
+
+69
+00:06:06,850 --> 00:06:11,190
+أصل ما أنا درست خير وبركة بقى لو وجه الامتحان صعب
+
+70
+00:06:11,190 --> 00:06:15,810
+صدفة لأ، أنا اجتهدت اجتهدت، وصدقني البيوتوس ما فيش
+
+71
+00:06:15,810 --> 00:06:22,810
+علي شغل صعبة، طيب بقول لي F الـ A على الـ B rational
+
+72
+00:06:22,810 --> 00:06:28,430
+number is an undefined value، A على B قيمة غير 
+
+73
+00:06:28,430 --> 00:06:29,270
+معرفة
+
+74
+00:06:31,740 --> 00:06:35,800
+معناته الـ B equals 0، هذا في حالة واحدة، قيمة غير 
+
+75
+00:06:35,800 --> 00:06:39,320
+المعرفة لما تكون الـ B equals صفر، احنا نقول إن هذه
+
+76
+00:06:39,320 --> 00:06:45,340
+غلط، وهذه صح، وهذه غلط، وهذه صح، if الـ A and B are
+
+77
+00:06:45,340 --> 00:06:53,600
+two different vectors باتجاهين مختلفين، A cross B 
+
+78
+00:06:53,600 --> 00:06:54,880
+equal B cross A
+
+79
+00:06:59,440 --> 00:07:02,920
+لأن هي عبارة عن مصفوفة واحنا اتفقنا لـ cross product
+
+80
+00:07:02,920 --> 00:07:11,160
+غير إبدالي، مظبوط؟ لأن هقول لك I ضرب الـ J equal K 
+
+81
+00:07:11,160 --> 00:07:20,500
+لكن J ضرب الـ I سالب K، مظبوط؟ الـ sound and الـ 
+
+82
+00:07:20,500 --> 00:07:26,800
+color الصوت والألوان are two examples for vector
+
+83
+00:07:26,800 --> 00:07:27,920
+quantities
+
+84
+00:07:30,140 --> 00:07:36,160
+غلط؟ حلّك اللي غلط يا صاحبي، الآن احنا اتفقنا أو في
+
+85
+00:07:36,160 --> 00:07:39,840
+أول slide لما بدنا نتكلم على الـ vector اتكلمنا إن 
+
+86
+00:07:39,840 --> 00:07:42,980
+احنا فيه الـ slides أو في عندي شغلات الـ scales
+
+87
+00:07:42,980 --> 00:07:46,320
+بعدين بقول الوزن وكده، وهادي نربطها بوحدها بقياس
+
+88
+00:07:46,320 --> 00:07:50,620
+لكن في عندي شغلات ثانية لا تكفي قيمة واحدة إلها
+
+89
+00:07:50,620 --> 00:07:53,920
+لما اتكلمت على الرياح، ضربت الصوت وانتشار الصوت 
+
+90
+00:07:54,440 --> 00:07:58,460
+ضربنا مثال الاتجاه وضربنا مثال الرياح، ما قلتش
+
+91
+00:07:58,460 --> 00:08:00,460
+بيقولوا شدة الرياح كذا، لكن بدّي أوحد الـ
+
+92
+00:08:00,460 --> 00:08:04,280
+direction، مشكلة اللون كذلك، اللون مش component
+
+93
+00:08:04,280 --> 00:08:08,520
+واحدة، اللون اللي أنت بتشوفه هذا هو عبارة عن مركبة
+
+94
+00:08:08,520 --> 00:08:16,600
+من ثلاث شغلات، من ثلاث ألوان على أبسط شيء الأحمر
+
+95
+00:08:16,600 --> 00:08:20,320
+والأخضر والأزرق اللي هم الـ RGB colors هي vector
+
+96
+00:08:20,320 --> 00:08:23,600
+ولو رجعت للإصلاح تلاقي الكلام مكتوبة من ضمن
+
+97
+00:08:23,600 --> 00:08:28,590
+العناصر Scaling a 3D object، Scaling يعني تغيير 
+
+98
+00:08:28,590 --> 00:08:33,330
+الحجم للـ 3D object، Means that it's changing the 
+
+99
+00:08:33,330 --> 00:08:40,370
+object's surface area، Scaling.. Scaling في الـ 3D
+
+100
+00:08:40,370 --> 00:08:45,950
+object إيه بيعني إنه هيغير مساحة السطح للـ 3D
+
+101
+00:08:45,950 --> 00:08:50,970
+object اللي موجود عندي هذا؟ أيوة
+
+102
+00:08:56,690 --> 00:09:01,490
+مساحة السطح ما بتتغيرش، ليش يا خضر ما بتتغيرش؟ الآن هي 
+
+103
+00:09:01,490 --> 00:09:09,590
+مكعب واحد
+
+104
+00:09:09,590 --> 00:09:13,210
+في واحد حجمه 
+
+105
+00:09:13,210 --> 00:09:18,970
+واحد مكعب بصبوط، واحد تكعيب، الآن قد إيش المساحة تبعته؟
+
+106
+00:09:18,970 --> 00:09:27,540
+المساحة تبعته ستة في واحد تربيع، ستة، مظبوط؟
+
+107
+00:09:27,540 --> 00:09:31,060
+طيب، لكن لو أنا بدّي أجي أعمل له Scale لما أنا بدّي 
+
+108
+00:09:31,060 --> 00:09:35,220
+أعمله Scaling اثنين، 
+
+109
+00:09:35,220 --> 00:09:47,140
+صح؟ الضلع كيف؟ 
+
+110
+00:09:47,140 --> 00:09:51,540
+كبر الحجم، نعم، تغيرت المساحة، بتبقى على الحجم؟ آه 
+
+111
+00:09:51,540 --> 00:09:54,880
+تغيرت لأن مساحة المربع الواحد، الوجه الواحد صار 
+
+112
+00:09:54,880 --> 00:09:58,980
+أربعة، المربع صار أربعة، ستة في أربعة، أربعة وعشرين متر
+
+113
+00:09:58,980 --> 00:10:04,080
+مربع، لو أنا بدي أجيبها أكيؤهم هاي واضحة، بقول لك هاي
+
+114
+00:10:04,080 --> 00:10:07,600
+the object surface area، زيادة المساحة الخارجية، ليش 
+
+115
+00:10:07,600 --> 00:10:12,140
+مساحة السطح اللي موجودة عندي على المكعب أو على الـ
+
+116
+00:10:12,140 --> 00:10:19,370
+object، صحيح، المسألة مش غلط، لكن بدها إيش تفكير صحيا
+
+117
+00:10:19,370 --> 00:10:22,950
+عم هو الـ scaling اللي بيغير الحجم في الـ 3D object طب
+
+118
+00:10:22,950 --> 00:10:26,870
+ممكن هو تغير الحجم بيترتب عليه، بيترتب عليه تغير
+
+119
+00:10:26,870 --> 00:10:32,550
+المساحة تبع الأوجه اللي موجودة عنده، هنا product
+
+120
+00:10:32,550 --> 00:10:38,130
+complex number with its conjugate give complex
+
+121
+00:10:38,130 --> 00:10:41,610
+number، لو أخدت رقم وضربته في الـ conjugate تبعه
+
+122
+00:10:41,610 --> 00:10:48,060
+بأحصل على complex number، غلط، بأحصل على real number، إيش
+
+123
+00:10:48,060 --> 00:10:51,860
+الـ conjugate للرقم يا شباب، عكس الإشارة للقيمة
+
+124
+00:10:51,860 --> 00:11:00,000
+التخيلية، يعني لو كانت a زائد bi، قد a ناقص bi، هاي
+
+125
+00:11:00,000 --> 00:11:04,020
+الـ conjugate، by
+
+126
+00:11:04,020 --> 00:11:11,740
+is an infinite irrational number عدد غير نسبي، صح
+
+127
+00:11:19,630 --> 00:11:25,030
+ترجمة الـ Transforms، ترجمة الـ Transforms، ترجمة 
+
+128
+00:11:25,030 --> 00:11:27,250
+الـ Transforms، ترجمة الـ Transforms، ترجمة الـ
+
+129
+00:11:27,250 --> 00:11:28,330
+Transforms، ترجمة الـ Transforms، ترجمة الـ
+
+130
+00:11:28,330 --> 00:11:28,650
+Transforms، ترجمة الـ Transforms، ترجمة الـ
+
+131
+00:11:28,650 --> 00:11:28,670
+Transforms، ترجمة الـ Transforms، ترجمة الـ
+
+132
+00:11:28,670 --> 00:11:28,710
+Transforms، ترجمة الـ Transforms، ترجمة الـ
+
+133
+00:11:28,710 --> 00:11:29,070
+Transforms، ترجمة الـ Transforms، ترجمة الـ
+
+134
+00:11:29,070 --> 00:11:29,270
+Transforms، ترجمة الـ Transforms، ترجمة الـ
+
+135
+00:11:29,270 --> 00:11:31,050
+Transforms، ترجمة الـ Transforms، ترجمة الـ
+
+136
+00:11:31,050 --> 00:11:32,750
+Transforms، ترجمة الـ Transforms، ترجمة الـ
+
+137
+00:11:32,750 --> 00:11:34,810
+Transforms، ترجمة الـ Transforms، ترجمة الـ
+
+138
+00:11:34,810 --> 00:11:35,890
+Transforms، ترجمة الـ Transforms، ترجمة الـ
+
+139
+00:11:35,890 --> 00:11:45,170
+Transforms، ترجمة الـ
+
+140
+00:11:45,170 --> 00:11:51,370
+Transforms، أنت لأن بقى بتقول لي صح ولا غلط سيدني أنا
+
+141
+00:11:51,370 --> 00:11:57,230
+بقول لك translation translation طبعا معناته أنا بقدر
+
+142
+00:11:57,230 --> 00:12:01,230
+أحققها وأتمصفوفها اثنين باثنين كام؟ واحد بيقول
+
+143
+00:12:01,230 --> 00:12:07,230
+بتنفع؟ طيب شوف على أبسط الأمور، أبسط الأمور جامعة
+
+144
+00:12:07,230 --> 00:12:15,870
+الخير، لما أنا بتكلم على الـ 2D shapes a b a a x زائد
+
+145
+00:12:15,870 --> 00:12:25,350
+b y زائد c وهذه بتساوي e x زائد a b c d e y زائد f
+
+146
+00:12:25,350 --> 00:12:32,270
+قلنا لما عملنا مصفوفة 2 في 2 a b و d e مقدرناش نديه
+
+147
+00:12:32,270 --> 00:12:35,870
+بالـ translation تبعتها، الـ translation في الـ true
+
+148
+00:12:35,870 --> 00:12:39,490
+دي طلبت مني يكون في عندي 3 في 3، والدليل اللي
+
+149
+00:12:39,490 --> 00:12:43,090
+روحت عملته أو استخدمته هتقدر تذكرني في المصطلح
+
+150
+00:12:45,920 --> 00:12:49,980
+Homogeneous Coordinates أيوة، أتذكر دائما الـ
+
+151
+00:12:49,980 --> 00:12:52,900
+Homogeneous Coordinates أنا ليش استخدمتها لأنه
+
+152
+00:12:52,900 --> 00:12:57,340
+فعليا بس برضه يا مصر إنّها كانت الـ scalar برضه تعمل
+
+153
+00:12:57,340 --> 00:12:59,720
+إزاحة لو وصلت بقى الـ national number بس مش إزاحة
+
+154
+00:12:59,720 --> 00:13:04,560
+أساسية بس مش إزاحة، أنا قاعد بتكلم، أنا بدي أقول لك
+
+155
+00:13:04,560 --> 00:13:07,340
+بيبقى فيه الـ object لإنّ أنا بدي أعمل إزاحة للـ
+
+156
+00:13:07,340 --> 00:13:11,220
+object، بتقدر تعمل إزاحة two by two هي هم أنت عاملها
+
+157
+00:13:11,220 --> 00:13:13,440
+اتمنشتهم، الـ two objects أو الـ two coefficients
+
+158
+00:13:13,440 --> 00:13:16,100
+اللي لهم ياشي في مقدار الـ translation اللي موجودة
+
+159
+00:13:16,100 --> 00:13:22,560
+عندهم، معناته false، عشرة خمسة خمسة is a homogeneous
+
+160
+00:13:22,560 --> 00:13:27,560
+coordinate for the point واحد واثنين خمسة عشر
+
+161
+00:13:27,560 --> 00:13:31,900
+خمسة homogeneous coordinate من الـ point واحد
+
+162
+00:13:31,900 --> 00:13:36,260
+واثنين صح ولا غلط؟ Homogeneous Coordinates معناته
+
+163
+00:13:36,260 --> 00:13:40,800
+يا شباب بدك تاخد القيمة الأولى وتجسمها على الأخيرة
+
+164
+00:13:40,800 --> 00:13:45,920
+وتجسمها على الأخيرة وتشوف إيش القيمة اللي بتطلع
+
+165
+00:13:45,920 --> 00:13:52,880
+معك خمسة على خمسة، واحد، عشرة على خمسة اثنين، معناته
+
+166
+00:13:52,880 --> 00:13:56,740
+خمسة عشر خمسة Homogeneous Coordinates للنقطة اللي
+
+167
+00:13:56,740 --> 00:13:57,380
+موجودة عندهم
+
+168
+00:14:01,690 --> 00:14:07,850
+transforming a shape means تحويل الشكل، تمام، shape
+
+169
+00:14:07,850 --> 00:14:15,270
+شكل، هاي شكل، بتكلم على polygon، تمام، means applying
+
+170
+00:14:15,270 --> 00:14:20,710
+transformation only on only one point of the shape
+
+171
+00:14:20,710 --> 00:14:23,770
+أما
+
+172
+00:14:23,770 --> 00:14:27,490
+أنا بدي أقول لك بدي أعمل transformation لـ Object أو
+
+173
+00:14:27,490 --> 00:14:31,210
+لـ Shape في الـ 2D أنا مكفين فقط أطبقه على نقطة
+
+174
+00:14:31,210 --> 00:14:38,790
+واحدة صح ولا غلط؟ غلط، لازم أطبقه عشان يصير في عندي
+
+175
+00:14:38,790 --> 00:14:41,870
+Transformation، بيصير في عندي على كل النقاط اللي
+
+176
+00:14:41,870 --> 00:14:46,230
+موجودة عندي لأنّ احنا بيتكلم الآن Scaling لأطبقه
+
+177
+00:14:46,230 --> 00:14:50,570
+على كل النقاط، Translation على كل النقاط، Rotation
+
+178
+00:14:50,570 --> 00:14:53,730
+Reflection، كله بتتطبق على كل النقاط اللي موجودة
+
+179
+00:14:53,730 --> 00:14:58,710
+عندي، وإلّا إذا أنت بتتطبق على نقطة واحدة طب ما هذه
+
+180
+00:14:58,710 --> 00:15:05,250
+صارت ها عفوا، هل اللي صار Translation في الشكل؟ لأ
+
+181
+00:15:05,250 --> 00:15:10,210
+ما صارش Translation، فأنت بتكتب تبقى دائما المصطلحات
+
+182
+00:15:10,210 --> 00:15:19,340
+اللي موجودة عندي، The domain set of sine inverse للـ
+
+183
+00:15:19,340 --> 00:15:25,520
+X is سالب واحد وواحد، and the range سالب ما لا نهاية
+
+184
+00:15:25,520 --> 00:15:32,000
+إلى موجب ما لا نهاية، فترات مفتوحة، sign
+
+185
+00:15:32,000 --> 00:15:37,140
+inverse، أيوة
+
+186
+00:15:37,140 --> 00:15:41,460
+الآية الـ domain تبعت الصيني ما تسمي قداشر
+
+187
+00:15:41,460 --> 00:15:45,660
+اختصرناها
+
+188
+00:15:45,660 --> 00:15:46,720
+احنا بكل بساطة
+
+189
+00:15:51,190 --> 00:15:54,030
+لا باي على اثنين، مظلوقة للا؟ مظلوقة للا لأنّ هي
+
+190
+00:15:54,030 --> 00:15:57,250
+عبارة عن تكرار بعد هي كده والدليل اللي كانت رسمتها
+
+191
+00:15:57,250 --> 00:16:02,990
+عبارة عن موجة بدون تغيير لكن محصورة
+
+192
+00:16:02,990 --> 00:16:08,750
+من واحد لسالب واحد، الـ sign inverse العكس تماما
+
+193
+00:16:08,750 --> 00:16:14,190
+وبالتالي هذه العبارة تبعتي صح، هو إنّ هنا الخبر اللي
+
+194
+00:16:14,190 --> 00:16:20,680
+بناه بره، احنا حكينا ليش حصرناهم في الـ slide هنا مش
+
+195
+00:16:20,680 --> 00:16:25,240
+خلال ليش احنا حصرناهم هنا لأنّ المفروض يا معتصم إنّ
+
+196
+00:16:25,240 --> 00:16:32,480
+أنا الزوايا هيك بعد
+
+197
+00:16:32,480 --> 00:16:39,300
+الموجة هذه هيك أو عفوا هاي الموجة كاملة هان
+
+198
+00:16:39,300 --> 00:16:45,600
+المفروض يكون في عندي هاي
+
+199
+00:16:45,600 --> 00:16:50,100
+صفر مثلا حيث عندي سالب باي على اثنين وهي عندي موجة
+
+200
+00:16:50,100 --> 00:16:53,520
+باي على اثنين أو العكس في الآخر ما دون ذلك هو
+
+201
+00:16:53,520 --> 00:16:58,360
+عبارة عن بما هي هذه هي انعكاس هذه لأنّها تكرارها
+
+202
+00:16:58,360 --> 00:17:01,700
+وهذا الكلام أنا حكيته بالحرف، احنا يا شباب لإنّه
+
+203
+00:17:01,700 --> 00:17:04,600
+فعليا جاعة بتكلم من صفر لتلف مائة وستين وبتفضل
+
+204
+00:17:04,600 --> 00:17:10,220
+تلف معايا تمام، أي رقم بعد هيك ما هو هيكون من
+
+205
+00:17:10,220 --> 00:17:12,760
+مضاعفات الرقم، من المضاعفات الزاوية اللي عندي فأنا
+
+206
+00:17:12,760 --> 00:17:15,940
+باكتفي بالـ interval البسيطة اللي موجودة عندي هنا
+
+207
+00:17:18,740 --> 00:17:28,220
+طيب الـ N star equal N اتحاد الصفر، N بالـ A الصفر
+
+208
+00:17:28,220 --> 00:17:34,200
+لا تنتمي للـ R star، صح، بأنّ الـ natural number مافيش
+
+209
+00:17:34,200 --> 00:17:40,000
+فيها صفر، أصبت، N star بننظف لهم الصفر والـ R أساسا
+
+210
+00:17:40,000 --> 00:17:42,840
+جه الصفر منها، فلما حطينا لها الـ star الصفر لا
+
+211
+00:17:42,840 --> 00:17:43,480
+تنتمي لها
+
+212
+00:17:46,380 --> 00:17:51,120
+الـ real number، العدد الحقيقية، الـ under dish صانع
+
+213
+00:17:51,120 --> 00:17:54,860
+هاي مانت قاعد بتفصلنا فيها واحدة واحدة وأنت مش
+
+214
+00:17:54,860 --> 00:18:00,060
+موجود في الامتحان معانا بالشكل هذا، صح؟ بس لو طلعت
+
+215
+00:18:00,060 --> 00:18:02,640
+أنت في الكلمات اللي موجودة أو في النص اللي موجود
+
+216
+00:18:02,640 --> 00:18:07,340
+أنا ما جبتش حاجة على فميابة فلسفة بلغة يعني أنت
+
+217
+00:18:07,340 --> 00:18:10,280
+فعليا لو درست الـ slides الكلام هذا اللي بيصير هار
+
+218
+00:18:10,280 --> 00:18:15,410
+بالنسبة لك كأش مفهوم بنسبة 90% عشان ما يبقى الأياء 85
+
+219
+00:18:15,410 --> 00:18:19,970
+% أو 80%، الأصل هيك يكون، وبالتالي بيظل في عندك سؤال
+
+220
+00:18:19,970 --> 00:18:23,770
+في واحدة أو ما فهمتش أو صار في عندك لابس فيها لما
+
+221
+00:18:23,770 --> 00:18:27,930
+ببر عليك في الامتحان ممكن إيش تستفسر إيش ما أنا
+
+222
+00:18:27,930 --> 00:18:31,350
+هادي أو كده ممكن يصير، لكن عادة هذا الكلام ما بينشرح
+
+223
+00:18:31,350 --> 00:18:37,890
+خلال الامتحان، طيب ننتقل للأسئلة اللي بعدها
+
+224
+00:18:42,030 --> 00:18:47,050
+السؤال الثاني عليه عشر نقاط أو عشر علامات، وحتحل كل
+
+225
+00:18:47,050 --> 00:18:50,530
+مسألة حسب المطلوب، في المسألة الأولى بقول لي عليها
+
+226
+00:18:50,530 --> 00:18:52,810
+علامتين يعني على الأول علامة وعلى الثانية علامة
+
+227
+00:18:52,810 --> 00:18:56,710
+بقول لي لن الـ A أسالب اثنين ونصف تساوي الـ A هتلي
+
+228
+00:18:56,710 --> 00:19:02,310
+قيمة الـ A، أحولها
+
+229
+00:19:02,310 --> 00:19:03,110
+أحول إيش؟
+
+230
+00:19:05,780 --> 00:19:09,720
+حوّلها للـ logarithm هي المسألة logarithm طيب احنا
+
+231
+00:19:09,720 --> 00:19:14,980
+في الـ logarithm الشباب أخذنا log الـ A أس B تساوي
+
+232
+00:19:14,980 --> 00:19:21,500
+B في log الـ A، مظبوط، بغض النظر عن الـ base، بغض النظر
+
+233
+00:19:21,500 --> 00:19:27,220
+عن إيش كانت الـ base، صح؟ أيوة ولو كانت هذه غايباً
+
+234
+00:19:27,220 --> 00:19:34,080
+يعني أنت بتكلم عن العشرة، تمام، هاملن اللي هي تساوي
+
+235
+00:19:34,080 --> 00:19:38,420
+الـ logarithm الأساسي E، طب وأنا بقول لك الـ E واحد
+
+236
+00:19:38,420 --> 00:19:43,300
+واحد، هذي واحد، معناته هي هيك هتصير الجلة سالب اثنين
+
+237
+00:19:43,300 --> 00:19:49,060
+ونصف مضروبة في لن الـ E بدها تساوي إيه؟ هذي واحد
+
+238
+00:19:49,060 --> 00:19:56,940
+معناته الـ A سالب اثنين ونصف، مش صعبة ولا مستحيلة
+
+239
+00:19:56,940 --> 00:20:05,640
+بالعكس، direct، اللي بعدها، مجلهات لـ Secant لزوايا 60
+
+240
+00:20:05,640 --> 00:20:12,340
+درجة، نديك جهة في السؤال الأول فحص الـ Secant معكس
+
+241
+00:20:12,340 --> 00:20:18,240
+مين؟ معكس الكوزاين صفر،
+
+242
+00:20:18,240 --> 00:20:24,360
+ثلاثين، خمسة وأربعين، ستين جذر واحد على اثنين، نص
+
+243
+00:20:24,360 --> 00:20:31,260
+معاناة الـ A تساوي اثنين لأنّ الـ I هي التبع معايا
+
+244
+00:20:31,260 --> 00:20:37,040
+صفر، ثلاثين، خمسة وأربعين، ستين، تسعين، الآن الـ sign
+
+245
+00:20:37,040 --> 00:20:39,820
+اللي بناخده اللي تحت تحت الجذر على اثنين والـ
+
+246
+00:20:39,820 --> 00:20:42,460
+cosine اللي بناخده اللي فوق، الآن الـ cosine الستين
+
+247
+00:20:42,460 --> 00:20:48,620
+هاي الستين جذر الواحد على اثنين، جذر الواحد واحد
+
+248
+00:20:48,620 --> 00:20:52,240
+واحد على اثنين نص، وأنت بتقوله هتل الـ C كان مجلوب
+
+249
+00:20:52,240 --> 00:20:57,490
+الـ cosine معايته اثنين على واحد اثنين يعني
+
+250
+00:20:57,490 --> 00:20:59,870
+الامتحانة ده كان من الامتحانات اللي ريحتني كان في
+
+251
+00:20:59,870 --> 00:21:04,010
+فاضي كثير الفصل الماضي على رأي من اللي حتى الآن
+
+252
+00:21:04,010 --> 00:21:07,510
+أنا مش شايف إنّه يعني واحدة في الصحة وغلط اللي تبعت
+
+253
+00:21:07,510 --> 00:21:11,250
+الـ surface، تمام، هذه بدها تفكير وغالبا في مسألة
+
+254
+00:21:11,250 --> 00:21:13,830
+ثانية بنشوفها برضه بدها شوية إيه، شكلها بخوف، بس
+
+255
+00:21:13,830 --> 00:21:21,610
+هي فعليا سهلة طيب، الامتحان اللي بعدها إيه يا
+
+256
+00:21:21,610 --> 00:21:24,690
+مرطس، مالك؟ قول 15
+
+257
+00:21:27,590 --> 00:21:29,730
+في امتحان كوليسيا، ما نحطش، ممكن نحط عشر على الله
+
+258
+00:21:29,730 --> 00:21:35,350
+وعلا اه، طيب
+
+259
+00:21:35,350 --> 00:21:39,990
+بقول افترض إنّ F of X بدي تساوي الجذر التربيعي
+
+260
+00:21:39,990 --> 00:21:45,050
+لخمسة ناقص X والـ G of X بدي تساوي واحد على خمسة
+
+261
+00:21:45,050 --> 00:21:50,430
+ناقص X، هتل الـ domain بتاعة F of X، الـ domain هي
+
+262
+00:21:50,430 --> 00:21:54,890
+عبارة عن مجموعة الأعداد أو المجموعة اللي تبقى فيها
+
+263
+00:21:54,890 --> 00:22:03,690
+الـ F معرفة، متى .. متى .. ال .. اصبر، تستعجلش، متى الـ
+
+264
+00:22:03,690 --> 00:22:06,370
+F of X بتصير غير معرفة لما بيصير فيها انديس سالب
+
+265
+00:22:06,370 --> 00:22:11,230
+تحت الجذر؟ متى السالب تحت الجذر بيظهر عندها ..
+
+266
+00:22:11,230 --> 00:22:18,070
+أيوة لما تصير X أكبر أو تساوي أكبر من خمسة لما تكون
+
+267
+00:22:18,070 --> 00:22:22,450
+X أكبر من خمسة، ففيكم ممكن تيجي تقول إيه؟ الـ X أكبر
+
+268
+00:22:22,450 --> 00:22:26,380
+من خمسة أنا okay بس هذه أخر حالة، اكتبلي إياها لإنّ أنا
+
+269
+00:22:26,380 --> 00:22:36,560
+بطلب منك تكتبلي إيش فترة؟ فترة مباشرة من سالب ما لا
+
+270
+00:22:36,560 --> 00:22:43,960
+نهاية مفتوحة لعند الخمسة مغلقة، خمسة ناقص خمسة صفر
+
+271
+00:22:43,960 --> 00:22:49,320
+صفر تحت الجذرية صفر، مش بيبقى مشكلة، بس الـ .. ليش؟
+
+272
+00:22:49,320 --> 00:22:52,560
+وين؟
+
+273
+00:22:52,850 --> 00:22:55,950
+طب ممتاز، ماشي الحال، اللي هنا اللي هنا الأرقام إيش
+
+274
+00:22:55,950 --> 00:23:03,270
+هي؟ الجاب اللي هادا أربعة فاصلة تسعة خمسة ناقص فاصلة
+
+275
+00:23:03,270 --> 00:23:06,290
+أربعة، أربعة فاصلة تسعة بونت واحد من عشرة مش بيبقى
+
+276
+00:23:06,290 --> 00:23:10,330
+مشكلة تحت الجذر موجب صح؟ أنت بس جلبت معك الأمور
+
+277
+00:23:10,330 --> 00:23:16,260
+شوية مهمش، اللي بعديه، أربعة خمسة ناقص أربعة واحد
+
+278
+00:23:16,260 --> 00:23:24,380
+واحد، خمسة ناقص صفر خمسة، خمسة ناقص ناقص واحد ستة
+
+279
+00:23:24,380 --> 00:23:29,020
+فاش مشكلة فترة تبعتي صح؟ أنت فكرت صح بس لما فكرت
+
+280
+00:23:29,020 --> 00:23:32,820
+تجي تكتب كتبت غلط أنت بيه يعني الأهل وأزميلكم 
+
+281
+00:23:32,820 --> 00:23:39,240
+يفكروا يكتبوا بالشكل التالي شباب من ستة إلى ما لا 
+
+282
+00:23:39,240 --> 00:23:39,740
+نهاية
+
+283
+00:23:42,680 --> 00:23:48,400
+تعكست الدنيا هذه الفترة تماما الدالة فيها غير معرفة
+
+284
+00:23:48,400 --> 00:23:53,800
+خذ مثال أول رقم الستة خمسة ناقص ستة ناقص واحد تحت
+
+285
+00:23:53,800 --> 00:23:58,680
+الجذر غير معرفة تماما وأنا قاعد بسألك ايش الـ domain
+
+286
+00:23:58,680 --> 00:24:02,880
+أعطيني الفترة اللي تبقى فيها المعادلة أو تبقى فيها 
+
+287
+00:24:02,880 --> 00:24:08,180
+المعادلة هي صحيحة بالمناسبة ما تسأل.. ما ترجعنيش
+
+288
+00:24:08,180 --> 00:24:10,420
+جون أنا كتبت يا دكتور والله كان قصدي ما فيش فيها
+
+289
+00:24:10,420 --> 00:24:16,260
+قصدي بعرف العلامة قول فترة مغلقة يعني هي فترة مضيفة
+
+290
+00:24:16,260 --> 00:24:25,320
+للـ A  نعم أكيد فترة مغلقة يا شباب A و B شوفتش 
+
+291
+00:24:25,320 --> 00:24:29,340
+ولا حاجة لها الـ gate A و B هذه الـ A مضمن الفترة بس
+
+292
+00:24:29,340 --> 00:24:36,240
+الـ B لأ تماما و كامها الـ X أكبر أو تساوي الـ A و أقل
+
+293
+00:24:36,240 --> 00:24:37,460
+من الـ B
+
+294
+00:24:40,850 --> 00:24:43,430
+لأن الـ Unreachable.. Unreachable أنت مقدرش
+
+295
+00:24:43,430 --> 00:24:47,050
+تصل لها دائما المالة نهاية وتصل المالة نهاية ده 
+
+296
+00:24:47,050 --> 00:24:52,290
+تكون مفتوحة تماما
+
+297
+00:24:52,290 --> 00:24:59,450
+بقول لي هتلي الـ range تبعت الـ X لو كانت الـ X.. الـ G
+
+298
+00:24:59,450 --> 00:25:02,930
+of X عفوا لو كانت الـ X is integer number أكبر من 
+
+299
+00:25:02,930 --> 00:25:08,070
+خمسة ايش يعني بقول لي؟ بقول لي لو الـ domain تبعت الـ G
+
+300
+00:25:08,070 --> 00:25:19,100
+of X هذه بحيث أن الـ X أكبر أو تساوي الخمسة عفوا
+
+301
+00:25:19,100 --> 00:25:21,700
+مش أكبر أو تساوي greater than في اليساوي في مشكلة 
+
+302
+00:25:21,700 --> 00:25:26,760
+ما فيش يساوي تصير صفر صفر واحد على صفر قيمة غير معرفة
+
+303
+00:25:26,760 --> 00:25:36,480
+أيه يا شباب الـ G of X بتساوي واحد على خمسة ناقص X
+
+304
+00:25:36,480 --> 00:25:44,500
+بقول هتلي الـ range الفترة هتل القيم اللي بدها تطلع
+
+305
+00:25:44,500 --> 00:25:51,880
+أيوه سالب إنفينيتي سالب إنفينيتي مش صح الآن القيم اللي عندك
+
+306
+00:25:51,880 --> 00:25:55,840
+كلها أكبر من خمسة صح يعني القيم اللي هتطلع عندك 
+
+307
+00:25:55,840 --> 00:26:01,180
+تحت دائما سالبة صح يعني الفترة تبعتك بدها تكون في
+
+308
+00:26:01,180 --> 00:26:07,020
+الاتجاه السالب ممتاز من
+
+309
+00:26:07,020 --> 00:26:11,850
+أول رقم عندك بدي يطلع عندك أنت نساش هو قاعد بيقول لك
+
+310
+00:26:11,850 --> 00:26:16,030
+integers حصر لك إياهم يعني سالب واحد يعني كل القيم
+
+311
+00:26:16,030 --> 00:26:20,290
+اللي تحت عندي هم integers معناته أن هذه هتكون
+
+312
+00:26:20,290 --> 00:26:23,990
+الفترة تبعتي من سالب واحد لسالب ما لا نهاية okay هاي
+
+313
+00:26:23,990 --> 00:26:27,950
+سالب واحد تستعدلش يا خضر هاي سالب واحد هذا أول
+
+314
+00:26:27,950 --> 00:26:33,670
+قيمة عند الستة طب عند السبعة سالب اثنين سالب اثنين
+
+315
+00:26:33,670 --> 00:26:35,470
+غلط واحد على سالب اثنين
+
+316
+00:26:39,240 --> 00:26:44,420
+خمسة ناقص ستة ناقص واحد واحد على ناقص واحد ناقص
+
+317
+00:26:44,420 --> 00:26:47,880
+واحد الآن
+
+318
+00:26:47,880 --> 00:26:52,600
+اللي بعديها هتصير نص ستة سبعة ناقص واحد ناقص خمسة 
+
+319
+00:26:52,600 --> 00:26:59,860
+ناقص اثنين نص اللي بعديها احكي ايه سالب واحد على
+
+320
+00:26:59,860 --> 00:27:02,580
+ثلاثة سالب ثلث سالب واحد على أربعة سالب واحد على
+
+321
+00:27:02,580 --> 00:27:06,620
+خمسة سالب واحد على عشرة سالب واحد على مئة سالب
+
+322
+00:27:06,620 --> 00:27:07,680
+واحد على مليون
+
+323
+00:27:13,410 --> 00:27:19,670
+هذه الفترة تبعتنا والسؤال
+
+324
+00:27:19,670 --> 00:27:23,570
+هذا برضه بدو شوية انتباه لما تيجي تكتب الفترة ليش؟
+
+325
+00:27:23,570 --> 00:27:30,670
+لأن الـ trick تبعتك كان أن أنا في end كسر كيف بقى 
+
+326
+00:27:30,670 --> 00:27:32,990
+هتجيب الـ range؟ كيف بقى هتعرف أن الـ range عبارة عن
+
+327
+00:27:32,990 --> 00:27:36,650
+مجموعة الصورة يا خضر؟ إذا أنا ما عوّبتش عشان أشوف 
+
+328
+00:27:36,650 --> 00:27:41,580
+كيف شكل الصورة بالمناسبة عمرك ما في الرياضيات تعتمد 
+
+329
+00:27:41,580 --> 00:27:46,680
+على قيمة واحدة فقط من صورة المعادلة طبق قيمة وحاول 
+
+330
+00:27:46,680 --> 00:27:49,000
+خذ ابعد عنها كمان قيمة وشوف كيف الشكل اللي بيصير
+
+331
+00:27:49,000 --> 00:27:52,100
+لأن صورة واحدة دائما خدها زي ما أخذنا مع الواحد 
+
+332
+00:27:52,100 --> 00:27:58,130
+احنا أخذنا مع أول رقم خمسة ناقص ستة ناقص واحد واحد 
+
+333
+00:27:58,130 --> 00:28:01,090
+على ناقص واحد ناقص واحد أوه تمام الأرقام ليهاش سالب
+
+334
+00:28:01,090 --> 00:28:03,150
+واحد معناه أن أنا بتكلم عن الـ integer لا يا صاحبي
+
+335
+00:28:03,150 --> 00:28:05,970
+أنت جاي بتروح تتكلم في الـ real number لأن اللي
+
+336
+00:28:05,970 --> 00:28:10,710
+بعديها خمسة ناقص سبعة ناقص اثنين واحد على ناقص اثنين 
+
+337
+00:28:10,710 --> 00:28:16,550
+ناقص نص وبالتالي أنا عمال القيم تبعت كلها بتروح
+
+338
+00:28:16,550 --> 00:28:21,880
+باتجاه وين باتجاه الموجب فعليا الرقم بيكبر و بس
+
+339
+00:28:21,880 --> 00:28:25,520
+بتروح باتجاه الصفر هل حصل الصفر لأ مش حصله الصفر
+
+340
+00:28:25,520 --> 00:28:36,980
+قاعد عند المال لا نهاية مش هيصله سؤال
+
+341
+00:28:36,980 --> 00:28:37,540
+اللي بعده
+
+342
+00:28:42,530 --> 00:28:46,730
+بقول لي حل الـ equation تبعتنا هذه وهتلي الـ value
+
+343
+00:28:46,730 --> 00:28:51,430
+تبعت X و Y مديني two linear equation وبقول لي هتلي 
+
+344
+00:28:51,430 --> 00:28:56,830
+الـ value تبعت X و Y بأي طريقة بدك إياها بدك تستخدم
+
+345
+00:28:56,830 --> 00:29:00,670
+الـ determinant توكل على الله بدك تستخدم الطريقة
+
+346
+00:29:00,670 --> 00:29:06,090
+التانية اللي هي الـ direct الأمر متروك لك تماما 
+
+347
+00:29:06,090 --> 00:29:13,810
+على الـ determinant فالـ determinant أسهل اثنين ما قص
+
+348
+00:29:13,810 --> 00:29:19,210
+واحد واحد وأربعة قيمة الـ determinant هذه تساوي
+
+349
+00:29:19,210 --> 00:29:27,850
+اثنين وايضا تساوي هام هام فعليا بلزمك تكون مستحضر 
+
+350
+00:29:27,850 --> 00:29:32,750
+القانون بشكل كويس لأ مش واحد هي واحد على قيمة الـ 
+
+351
+00:29:32,750 --> 00:29:36,470
+determinant على قيمة الـ determinant تسعة على تسعة 
+
+352
+00:29:36,470 --> 00:29:39,050
+بس الآن القيمة اللي فوق شوف كده ايش كانت اللي عندي 
+
+353
+00:29:40,480 --> 00:29:45,840
+أه أتذكر هاي يا خضر تمام تتذكر أن كانت المسألة تبعتي
+
+354
+00:29:45,840 --> 00:29:50,800
+هيها عشرة واثنين وخمسة وكانت هذه المصفوفة تبعتي
+
+355
+00:29:50,800 --> 00:29:58,280
+هيك مصبوط اثنين ناقص واحد واحد وأربعة أنا بدي قيمة
+
+356
+00:29:58,280 --> 00:30:06,700
+الـ X هيهم الضرب التمام يعني أربعين ناقص ناقص خمسة 
+
+357
+00:30:06,700 --> 00:30:08,940
+خمسة وأربعين على تسعة
+
+358
+00:30:11,810 --> 00:30:22,190
+خمسة الثانية نطب الـ Y عشرة ناقص عشرة ناقص عشرة صفر
+
+359
+00:30:22,190 --> 00:30:26,430
+على تسعة تساوي صفر هذا قيمة X وهذا قيمة Y مش عاجبك
+
+360
+00:30:26,430 --> 00:30:30,170
+الطريقة هاي طبعا لاحظ هنا لازم تكتب المصفوفة 
+
+361
+00:30:33,550 --> 00:30:37,130
+X وY هاي المعادلة الآن لا ايش بدك في الـ sign والـ
+
+362
+00:30:37,130 --> 00:30:41,370
+determinant لأ الآن الطريقة الثانية أن تروح هتحلل
+
+363
+00:30:41,370 --> 00:30:49,070
+تقول لي هنا X بدها تساوي مثلا في المعادلة الثانية X
+
+364
+00:30:49,070 --> 00:30:54,790
+بدها تساوي خمسة ناقص أربعة Y عوض عليها في المعادلة
+
+365
+00:30:54,790 --> 00:30:59,030
+الأولى وحلل لأن هاي قدامك قلت لي الحل ايه فيهم
+
+366
+00:30:59,030 --> 00:31:05,740
+تستخدم أنا بالنسبة لي يا خضر معتصم في مسألة زي هذه أنا
+
+367
+00:31:05,740 --> 00:31:10,980
+مش محدد لك ايش الطريقة اللي تستخدمها up to you أنا 
+
+368
+00:31:10,980 --> 00:31:14,680
+في الآخر بدي تقول قيمة X تساوي كذا وقيمة Y تساوي
+
+369
+00:31:14,680 --> 00:31:18,320
+كذا مش هذه من ورقة جارك من ورقة جارك بدون طريقة حل 
+
+370
+00:31:18,320 --> 00:31:24,080
+تاخد صفر حتى لو كان الحل صح الجار لجار لو جار صح؟
+
+371
+00:31:24,080 --> 00:31:30,730
+كمل ايش يا معتصم احكي يا رجل بقول لي خضر عنه مش
+
+372
+00:31:30,730 --> 00:31:33,910
+مش مشكلة هو شكله خجلان لأ أنا قلت له أنه على قانون الـ
+
+373
+00:31:33,910 --> 00:31:37,650
+.. مش بالـ style الـ X على المحدد سواء الـ Y على 
+
+374
+00:31:37,650 --> 00:31:42,230
+المحدد هي هي بس فعلا نفس الـ .. نفس الاعتبار اللي
+
+375
+00:31:42,230 --> 00:31:44,730
+موجودة عندها فقلت له اعمل أما بتعتمد طريقة في 
+
+376
+00:31:44,730 --> 00:31:49,530
+المحدد أو بتعتمد طريقة التعويض أو بتعتمد طريقة
+
+377
+00:31:49,530 --> 00:31:53,250
+التعويض لكن حسب المسألة لو أنا جيت.. قلت لك استخدم
+
+378
+00:31:53,250 --> 00:31:58,810
+الـ determinant انتهى الأمر فعلا طريقة المحدد؟ سهل
+
+379
+00:31:58,810 --> 00:32:03,610
+مش صعب مقلهات الـ spherical coordinate للنقطة 
+
+380
+00:32:03,610 --> 00:32:13,070
+للكارتيزن point 2 2 2 Spherical يعني أنا فيه عندي
+
+381
+00:32:13,070 --> 00:32:21,250
+Radius وعندي Phi وعندي Theta مظبوط؟ يعني عندي نصف 
+
+382
+00:32:21,250 --> 00:32:30,380
+القطر وعندي زاويتين الجذر التربيعيXYZ 2 تربيع زائد
+
+383
+00:32:30,380 --> 00:32:35,580
+2 تربيع زائد 2 تربيع أربعة في ثلاثة اثنا عشر
+
+384
+00:32:35,580 --> 00:32:41,140
+الاثنا عشر، مظبوط؟
+
+385
+00:32:41,140 --> 00:32:53,080
+كوزاين انفرس لمن؟ لمن الـ Z على Z على R وبتجيب
+
+386
+00:32:53,080 --> 00:32:54,360
+قيمة الزوايا بالكالكوليتر
+
+387
+00:33:00,160 --> 00:33:08,120
+والأخيرة تان انفرس لـ Y على الـ X كيف تبنان عايش 
+
+388
+00:33:08,120 --> 00:33:12,860
+تبنان؟ تخيل ما هالشكل؟ Spherical Spherical لإيش؟ 
+
+389
+00:33:12,860 --> 00:33:17,800
+فيه ثلاث شغلات، صح؟ طيب ضلع وزاويتين؟ لأ مش ضلع و
+
+390
+00:33:17,800 --> 00:33:22,180
+ذاتين، أصف قطر وزاويتين زاوية مع الـ X Y وزاوية 
+
+391
+00:33:22,180 --> 00:33:27,330
+مع مع الـ Z مع الـ Z زاوية مع الـ XY وزاوية مع الـ
+
+392
+00:33:27,330 --> 00:33:30,650
+Z يعني ثلاثة أنا لو افترضت أن هي في الـ 3D عشان
+
+393
+00:33:30,650 --> 00:33:33,390
+يصير هاي الـ Z اللي أنا فيه اندي هي نصف القطر هي
+
+394
+00:33:33,390 --> 00:33:37,430
+الزاوية اللي عملها المعمل هي θيتا XY تان انفرس 
+
+395
+00:33:37,430 --> 00:33:44,570
+معروفة ولكن فعليا هو هيك هي هنا زاوية المعمل مع
+
+396
+00:33:44,570 --> 00:33:49,230
+الـ Z بالتالي Z على R اللي هي نصف القطر اللي
+
+397
+00:33:49,230 --> 00:33:52,010
+موجودة عندي هنا جذر ما عادش 
+
+398
+00:33:57,770 --> 00:34:07,590
+delete 12 وساوي ثلاثة فاصلة لأ جذر الـ 12 أنا
+
+399
+00:34:07,590 --> 00:34:11,790
+بتجيب هاي ثلاثة فاصلة أربعة ستة أربعة تقريبا الآن
+
+400
+00:34:11,790 --> 00:34:17,250
+cosine inverse للاثنين على ثلاثة فاصلة أربعة ستة 
+
+401
+00:34:17,250 --> 00:34:22,670
+shift cosine اثنين
+
+402
+00:34:22,670 --> 00:34:26,790
+تقسيم ثلاثة فاصلة أربعة ستة
+
+403
+00:34:28,430 --> 00:34:35,290
+أربع وخمسين فاصلة ستة تسعة اه 
+
+404
+00:34:35,290 --> 00:34:43,910
+فوق عفوا أربع وخمسين فاصلة ستة تسعة الزاوية
+
+405
+00:34:43,910 --> 00:34:48,330
+اللي بعديها ten
+
+406
+00:34:48,330 --> 00:34:55,870
+inverse للاثنين على اثنين خمسة وأربعين درجة تماما 
+
+407
+00:35:03,750 --> 00:35:10,230
+لو قلنا لك أو التحويل الثاني cylindrical أسهل
+
+408
+00:35:10,230 --> 00:35:14,510
+لماذا؟ لأنك لن تشعر بالتغيير عندك نصف القطر تدخل
+
+409
+00:35:14,510 --> 00:35:19,170
+بس X وY أسبوع والزاوية
+
+410
+00:35:19,170 --> 00:35:22,070
+تنقل inverse على Y على X اللي هي نفس القانون اللي
+
+411
+00:35:22,070 --> 00:35:24,570
+موجود عندنا ولا حاجة وزيك بدون تغيير
+
+412
+00:35:28,210 --> 00:35:36,510
+Find the distance between المقاطين 
+
+413
+00:35:36,510 --> 00:35:45,110
+اللي مدّيني إياهم بولر system بقى تحولهم لكارتيزيا
+
+414
+00:35:45,110 --> 00:35:48,750
+عشان 
+
+415
+00:35:48,750 --> 00:35:54,890
+تقدر تحسب يعني النقطة الأولى X1 ايش بتساوي 
+
+416
+00:35:54,890 --> 00:36:02,750
+يا شباب؟ أيوه يا شباب R cos θ 
+
+417
+00:36:02,750 --> 00:36:10,170
+هؤلاء القوانين شكلهم منسيات رسمي و Y واحدة بتساوي R
+
+418
+00:36:10,170 --> 00:36:14,030
+في sin θ الـ θ اللي موجودة هنا مجدداش يا
+
+419
+00:36:14,030 --> 00:36:17,910
+شباب فالنقطة 
+
+420
+00:36:17,910 --> 00:36:21,990
+الأولى هي ثلاثين والـ R اثنين اثنين في cos 
+
+421
+00:36:21,990 --> 00:36:31,030
+التلاتين وأنا اتنين في sin تلاتين تلاتين تلاتين
+
+422
+00:36:31,030 --> 00:36:35,810
+تلاتين تلاتين تلاتين تلاتين تلاتين تلاتين تلاتين
+
+423
+00:36:35,810 --> 00:36:38,630
+تلاتين تلاتين تلاتين تلاتين تلاتين تلاتين تلاتين
+
+424
+00:36:38,630 --> 00:36:43,070
+تلاتين تلاتين تلاتين تلاتين تلاتين تلاتين تلاتين
+
+425
+00:36:43,070 --> 00:36:43,930
+تلاتين تلاتين تلاتين تلاتين تلاتين تلاتين تلاتين
+
+426
+00:36:43,930 --> 00:36:47,450
+تلاتين تلاتين تلاتين تلاتين تلاتين تلاتين تلاتين
+
+427
+00:36:47,450 --> 00:36:49,230
+تلاتين تلاتين تلاتين تلاتين تلاتين تلاتين تلاتين
+
+428
+00:36:49,230 --> 00:36:50,510
+تلاتين تلاتين تلاتين تلاتين تلاتين تلاتين تلاتين
+
+429
+00:36:50,510 --> 00:36:51,870
+تلاتين تلاتين تلاتين تلاتين
+
+430
+00:36:55,080 --> 00:37:03,860
+الآن x2 بدها تساوي اتنين كوزاين الستين أربعة عفوا
+
+431
+00:37:03,860 --> 00:37:10,540
+أربعة أربعة و y2 بدها تساوي أربعة في ساين الستين 
+
+432
+00:37:10,540 --> 00:37:14,280
+كوزاين
+
+433
+00:37:14,280 --> 00:37:22,560
+الستين هي ستين كوزاين جذر أربعة في نص وهان أربعة في
+
+434
+00:37:22,560 --> 00:37:29,100
+جذر الثلاث على اتنين هان تساوي اتنين وانتوا
+
+435
+00:37:29,100 --> 00:37:38,580
+تساوي اتنين في جذر الثلاث دي بدها 
+
+436
+00:37:38,580 --> 00:37:46,310
+تساوي الجذر التربيعي لـ D2-D1 أو العكس مش قوليها
+
+437
+00:37:46,310 --> 00:37:54,550
+كتير X2-X1 2-2 لكل تربيع يعني عفوا جذر الثلاث
+
+438
+00:37:54,550 --> 00:37:59,150
+زائد
+
+439
+00:37:59,150 --> 00:38:08,770
+الآن 2 جذر الثلاث نقص الواحد عفوا التربيع المفروض
+
+440
+00:38:08,770 --> 00:38:08,930
+هنا
+
+441
+00:38:15,390 --> 00:38:20,330
+على calculator في دقيقة ولا خلاص تكملوا لحالكم
+
+442
+00:38:20,330 --> 00:38:26,230
+بعدين تكملوا لحالكم خلاص المسألة إيه مبلش مطلع
+
+443
+00:38:26,230 --> 00:38:32,570
+جدّيش خضر أكيد هيطلع رقم ولا هيطلع عشر يعني عشر
+
+444
+00:38:32,570 --> 00:38:36,450
+لحاله خضر السؤال
+
+445
+00:38:36,450 --> 00:38:38,690
+البعد السؤال الثالث برضه عليه عشر علامات
+
+446
+00:38:51,660 --> 00:38:57,800
+الآن أنا مديك مثلث وبقول لك هات لي الـ unknown value
+
+447
+00:38:57,800 --> 00:39:00,800
+إيش الـ unknown value اللي عندي؟ إن قيمة الزاويتين
+
+448
+00:39:00,800 --> 00:39:07,040
+هدول تمام والضلع هذا الآن
+
+449
+00:39:07,040 --> 00:39:13,370
+واضح إن المثلث هده تلاتة وها دي تلاتة متلات متساوي
+
+450
+00:39:13,370 --> 00:39:17,950
+الساقين تمام وفي زاوية معروفة عندها معناته اللي
+
+451
+00:39:17,950 --> 00:39:22,770
+باقي من الـ 180 ناقص 50 مية و30
+
+452
+00:39:22,770 --> 00:39:26,030
+على اتنين 65 65 مباشرة تيجي
+
+453
+00:39:26,030 --> 00:39:31,430
+تقول لي هنا بيكوال سي تساوي 180 ناقص 50
+
+454
+00:39:31,430 --> 00:39:38,210
+على اتنين 65 درجة الآن
+
+455
+00:39:39,070 --> 00:39:45,490
+استخدم الـ sign rule sign rule الـ A على sign
+
+456
+00:39:45,490 --> 00:39:51,170
+الـ 50 بدها تساوي اختار أي حاجة دلوقتي على تلاتة
+
+457
+00:39:51,170 --> 00:39:59,970
+على sign الـ 65 انحلت يعني الـ A بدها تساوي
+
+458
+00:39:59,970 --> 00:40:06,890
+تلاتة sign الـ 50 على sign
+
+459
+00:40:08,350 --> 00:40:14,390
+الـ 65 على calculator صعب
+
+460
+00:40:14,390 --> 00:40:19,630
+صح؟ صح يا عزيزي لأ لأ لأ لأ شوف الخطأ اللي صار..
+
+461
+00:40:19,630 --> 00:40:22,850
+الخطأ اللي صار إنه أنا اعتمدت الأسئلة من الشريك في
+
+462
+00:40:22,850 --> 00:40:27,890
+المادة بدون ما أراجع طبعا وممكن لأن أنا مشغول
+
+463
+00:40:27,890 --> 00:40:30,970
+كنت قلت okay خلاص يعني ما فيش داعي لكن في المتحن
+
+464
+00:40:30,970 --> 00:40:35,950
+هقلت لا أراجع بال.. زي ما بيقولوا على الآخر طيب
+
+465
+00:40:40,040 --> 00:40:43,500
+عشان ما يضيعش الجنة في الآخر يعني حتى وإن كان بوسوس
+
+466
+00:40:43,500 --> 00:40:47,520
+للناس وبحاول يصدّهم وكده وكده لكن ما زال عنده أمل
+
+467
+00:40:47,520 --> 00:40:56,540
+أن الله يغفر له بعد
+
+468
+00:40:56,540 --> 00:41:00,240
+ما
+
+469
+00:41:00,240 --> 00:41:04,540
+عدلتها حاضر حاجة بتعرفها صح على كل علامتك إيش ما
+
+470
+00:41:04,540 --> 00:41:10,130
+كانت مش هتكون جلتيا زي ما هي يا إما زادت بناء على
+
+471
+00:41:10,130 --> 00:41:13,210
+التعديل اللي صار طيب السؤال الجابر الأخير أو
+
+472
+00:41:13,210 --> 00:41:16,850
+السؤال هذا خلصت متحلّ سابقا؟ شو هو؟ شو خلصت 
+
+473
+00:41:16,850 --> 00:41:18,770
+متحلّ سابقا؟ نحل جاعدين أنت بتقول الجابر الأخير؟
+
+474
+00:41:18,770 --> 00:41:22,310
+لأ لأ الجابر الآخر السؤال التالف اه الآن هذا
+
+475
+00:41:22,310 --> 00:41:27,350
+السؤال عليه خمس علامات و
+
+476
+00:41:27,350 --> 00:41:31,280
+الانتهاء كله كان علامة؟ 65 .. 50 .. 50 .. حسب يعني
+
+477
+00:41:31,280 --> 00:41:33,660
+بواب النظر إيش كانت علامات وما إحنا بنحوّرها في
+
+478
+00:41:33,660 --> 00:41:36,720
+الآخر بمعادلة وما انقدراش نحولها للعادلة اللي
+
+479
+00:41:36,720 --> 00:41:40,560
+بناها بس بنحاول نحط لها قيمة حقيقية عشان تقدر أنت
+
+480
+00:41:40,560 --> 00:41:43,540
+تتوقع أنت علامة جدّيش كانت فعليا جد جيبت في النهاية
+
+481
+00:41:43,540 --> 00:41:46,880
+بقول
+
+482
+00:41:46,880 --> 00:41:54,500
+له هات لي طول الضلع AC هات لي الـ distance من A وC في
+
+483
+00:41:54,500 --> 00:41:55,140
+الشكل هذا
+
+484
+00:41:58,960 --> 00:42:10,000
+ومقينيها بقول لي C وB CB هذا القطعة تساوي القطعة
+
+485
+00:42:10,000 --> 00:42:20,060
+هاي كمان مبينة و EB تساوي DC وطولها عشر هذا عشان
+
+486
+00:42:20,060 --> 00:42:23,880
+يأكد لك أن هذا مستطيل لو هذا الكلام ما كانش يا خضر
+
+487
+00:42:23,880 --> 00:42:29,520
+مش هتقدر تشتغل فيه حتى وإن كان مبين بالضبط فلازم
+
+488
+00:42:29,520 --> 00:42:32,740
+تكون المواضيع كاملة وجلس زاوية المصنوعة أو
+
+489
+00:42:32,740 --> 00:42:37,400
+المحصورة ما بين CAD عشر اللي هي A قيمتها عشر
+
+490
+00:42:37,400 --> 00:42:46,180
+والزاوية CAB أو BCA مقدارها عشرين اصبر شوية خضر
+
+491
+00:42:46,180 --> 00:42:55,480
+الآن بدك تجيب الضلع الضلع AC طب احنا أخذنا هيك شغل
+
+492
+00:42:56,520 --> 00:43:01,620
+أخذنا هيك شغل احنا يا شباب؟ اه أخذنا هيك شغل الآن
+
+493
+00:43:01,620 --> 00:43:05,500
+الـ AC بالنسبة اللي احنا اخذناه مثلثات ما اخذناش 
+
+494
+00:43:05,500 --> 00:43:10,360
+مستطيلات وغيرها صح؟ بس في عنده مثلث أنا ABC وال
+
+495
+00:43:10,360 --> 00:43:15,580
+الـ AC هي موجودة فيه وبالتالي لو توفرت عندي أضلاع
+
+496
+00:43:15,580 --> 00:43:21,140
+المثلث والزوايا تنحل ولا شو رايكم؟ أسهل ما يمكن
+
+497
+00:43:21,140 --> 00:43:24,020
+أجيب من مثلث الزوايا أنا في عندي ضلع موجود هي عشر
+
+498
+00:43:25,330 --> 00:43:30,070
+عشر اللي هو المقابل لمين؟ للزاوية عشر صح؟ هتقول
+
+499
+00:43:30,070 --> 00:43:32,350
+في عندي زاوية وضلع معاها ممكن نتكلم عن الـ sign
+
+500
+00:43:32,350 --> 00:43:38,630
+rule لو اجبعت أجيب الزاوية مين؟ الـ D تعالوا نشوف
+
+501
+00:43:38,630 --> 00:43:43,890
+باقي الزاوية اللي عندي أيوة
+
+502
+00:43:43,890 --> 00:43:49,530
+الآن هذه الزاوية اللي في المثلث هذا الـ C دي C إيه؟
+
+503
+00:43:49,530 --> 00:43:54,900
+جدّيش قلبتها؟ بما إني عمالي بقول لك هذا مستطيل هي
+
+504
+00:43:54,900 --> 00:43:58,740
+أطلعه معناته هذا نازل عن النقطة هاي معناته مكملتها
+
+505
+00:43:58,740 --> 00:44:05,320
+هذه الأصل إزاي قائمة مكملتها سبعين صار عندي عشر و
+
+506
+00:44:05,320 --> 00:44:12,180
+سبعين تمانين تمانين والـ دي مية من هي مية وتمانين
+
+507
+00:44:12,180 --> 00:44:21,240
+ناقص المجموعة أصبحت عندي الآن بقول AC على sign
+
+508
+00:44:23,340 --> 00:44:30,920
+الـ 100 تساوي عشر على sign العشر على الزاوية
+
+509
+00:44:30,920 --> 00:44:38,660
+المقابلة بس انتهى الأمر خلاص انحلت المسألة للوهلة
+
+510
+00:44:38,660 --> 00:44:42,900
+الأولى.. للوهلة الأولى الشكل.. الشكل لأنها مرعبة
+
+511
+00:44:42,900 --> 00:44:46,360
+issue هذا احنا وين روحنا تقل من عالم لعالم لأ
+
+512
+00:44:46,360 --> 00:44:50,420
+مطلوب بس عندك المثلث وتحاولاش تستفيد من الخصائص
+
+513
+00:44:50,420 --> 00:44:51,780
+اللي موجودة عندها
+
+514
+00:44:55,780 --> 00:45:05,800
+اللي بعده اه خلاص خلاص طالب يجيب لي BC إيه طبعا
+
+515
+00:45:05,800 --> 00:45:09,220
+هذا الكلام بدك تكتب فيه كل حاجة أنت ما لكش تقول لي
+
+516
+00:45:09,220 --> 00:45:14,220
+الآن ازاي دي سي إيه مقدارها سبعين درجة ليش؟ لأن هي
+
+517
+00:45:14,220 --> 00:45:17,960
+مكملة تسعين تسعين ناقص عشرين لازم توضح كل حاجة
+
+518
+00:45:17,960 --> 00:45:21,720
+كمان مرة يا شباب عشان ما تقولش الدكتور غشناه احنا
+
+519
+00:45:21,720 --> 00:45:26,150
+كتبناه زي ما كتبناه لو جبت السؤال بقى بتجي تقول لي
+
+520
+00:45:26,150 --> 00:45:32,270
+الزاوية A, C, D بديها تساوي تسعين ناقص عشرين هذه
+
+521
+00:45:32,270 --> 00:45:36,670
+سبعين درجة مباشرة كون إنك أنا كتبت لي تسعين معناته
+
+522
+00:45:36,670 --> 00:45:39,730
+أنا فاهم إنك أنت هذه زاوية قائمة الخطوة اللي
+
+523
+00:45:39,730 --> 00:45:45,850
+بعديها الزاوية A, D, C بديها تساوي مية وتمانين
+
+524
+00:45:45,850 --> 00:45:52,490
+ناقص عشر زائد سبعين وتساوي مية درجة لأن أنا بدي
+
+525
+00:45:52,490 --> 00:45:57,390
+أعرف من أين جبت الزاوية يمكن يخطب من جنبك بعد
+
+526
+00:45:57,390 --> 00:46:00,710
+هيك خلاص قربك الـ sign rule ما فيش عندك مشكلة عشر
+
+527
+00:46:00,710 --> 00:46:07,690
+على sign العشر اللي هو بلع المقابل تساوي الـ AC
+
+528
+00:46:07,690 --> 00:46:15,470
+على sign الـ 100 اللي هي الزاوية المقابلة هن تلقى
+
+529
+00:46:15,470 --> 00:46:18,210
+بعد هيك تعود بالكالكوليتر تعود مباشرة بالكالكوليتر
+
+530
+00:46:18,210 --> 00:46:19,330
+كل الله بالسر عليك
+
+531
+00:46:23,530 --> 00:46:26,510
+السؤال اللي بعده بيقول لي هات لي الـ determinant أو
+
+532
+00:46:26,510 --> 00:46:29,630
+هات لي قيمة الـ determinant للمatrix اللي تلاتة بتلاتة
+
+533
+00:46:29,630 --> 00:46:33,570
+احسب
+
+534
+00:46:33,570 --> 00:46:38,570
+الـ determinant للمصفوفة تلاتة بتلاتة سهل ومباشر الصف
+
+535
+00:46:38,570 --> 00:46:48,410
+الأول الآن ساوي اتنين في سطر واحد اتنين صفر وتلاتة
+
+536
+00:46:48,410 --> 00:46:55,860
+ناقص أربعة مضروبة فيليش تلاتة اتنين سالب أربعة
+
+537
+00:46:55,860 --> 00:47:06,180
+تلاتة اتنين سالب أربعة تلاتة زائد اتنين في ال
+
+538
+00:47:06,180 --> 00:47:13,100
+determinant تلاتة ناقص واحد سالب أربعة وصفر اتنين
+
+539
+00:47:13,100 --> 00:47:18,100
+في سالب واحد في تلاتة ناقص صفر ناقص تلاتة
+
+540
+00:47:20,690 --> 00:47:24,530
+ناقص أربعة مضروبة فيه تلاتة في تلاتة تسعة نقص
+
+541
+00:47:24,530 --> 00:47:32,230
+ثمانية واحد زائد اتنين مضروب فيه نقص نقص ثمانية
+
+542
+00:47:32,230 --> 00:47:36,710
+سبع عشر اثبت
+
+543
+00:47:36,710 --> 00:47:40,850
+يعني سالب أربعة في اتنين سالب ثمانية نقص سالب
+
+544
+00:47:40,850 --> 00:47:44,590
+ثمانية بصمه جاب تسعة نقص تسعة زائد ثمانية سبع
+
+545
+00:47:44,590 --> 00:47:53,450
+عشر الآن 2 صفر ناقص ناقص أربعة أربعة ناقص أربعة
+
+546
+00:47:53,450 --> 00:48:02,250
+موجب سالب في سالب موجب وجهها سالب سالب الآن سالب
+
+547
+00:48:02,250 --> 00:48:11,150
+ستة سالب أربعة وستين سالب
+
+548
+00:48:11,150 --> 00:48:13,130
+سالب ثمانية
+
+549
+00:48:16,170 --> 00:48:22,510
+السالب كده الشيخ أتصاره؟ سبعين ثمانية وسبعين صح؟
+
+550
+00:48:22,510 --> 00:48:26,330
+ثمانية وسبعين وسبعين وسبعين وسبعين وسبعين
+
+551
+00:48:26,330 --> 00:48:31,170
+وسبعين وسبعين وسبعين وسبعين وسبعين و
+
+552
+00:48:31,170 --> 00:48:32,770
+سبعين وسبعين وسبعين وسبعين وسبعين و
+
+553
+00:48:32,770 --> 00:48:33,330
+سبعين وسبعين وسبعين وسبعين وسبعين و
+
+554
+00:48:33,330 --> 00:48:34,310
+سبعين وسبعين وسبعين وسبعين وسبعين و
+
+555
+00:48:34,310 --> 00:48:34,730
+سبعين وسبعين وسبعين
+
+556
+00:48:47,520 --> 00:48:54,360
+انتقل لموضوع الـ vectors امتحان
+
+557
+00:48:54,360 --> 00:49:00,120
+بيغطي المادة كلها من الالف للياء ما أعرفش هنا
+
+558
+00:49:00,120 --> 00:49:04,820
+أعتقد إن هذا آخر سؤال صفحة أربعة آخر سؤال لأ في
+
+559
+00:49:04,820 --> 00:49:09,660
+بعدي كمان سؤال فيه خمسة اه كل هذا
+
+560
+00:49:14,880 --> 00:49:18,840
+كيف؟ بده محاضرة؟ كمان محاضرة حلو لأ لأ ليش كمان
+
+561
+00:49:18,840 --> 00:49:24,500
+محاضرة؟ الآن مديني نقطتين بثلاث نقاط ب صفر ب واحد
+
+562
+00:49:24,500 --> 00:49:28,200
+ب اثنين مديني قيامهم وبقولي هاتلي ال vectors أو
+
+563
+00:49:28,200 --> 00:49:33,320
+في عندي vectors R و S بحيث R و R محصورة بين صفر ب
+
+564
+00:49:33,320 --> 00:49:38,320
+صفر وبواحد والـ S محصورة بين ب صفر وب اثنين يعني
+
+565
+00:49:38,320 --> 00:49:42,810
+الاثنين ملتقين في نفس الـ tail تمام؟ أول حاجة
+
+566
+00:49:42,810 --> 00:49:48,990
+بيقول لي هاتلي الـ R والـ S as vectors ال
+
+567
+00:49:48,990 --> 00:49:56,430
+R تساوي as a vector بيكتب بالشكل هذا الـ S تساوي
+
+568
+00:49:56,430 --> 00:50:07,730
+الآن صفر ناقص واحد ناقص واحد اثنين ناقص واحد واحد
+
+569
+00:50:07,730 --> 00:50:11,610
+اثنين ناقص اثنين صفر transpose
+
+570
+00:50:13,990 --> 00:50:23,350
+الـ S صفر ناقص واحد ناقص واحد واحد ناقص واحد صفر
+
+571
+00:50:23,350 --> 00:50:32,890
+أربعة ناقص اثنين اثنين Transpose هي الـ S الآن
+
+572
+00:50:32,890 --> 00:50:35,890
+بيقول لي هات لزي اللي محصورة بين الـ R والـ S
+
+573
+00:50:40,550 --> 00:50:43,630
+R وS ما عرفت بتتكلم عن الـ Cartesian Product عفواً،
+
+574
+00:50:43,630 --> 00:50:48,650
+على الـ Scalar Product، Dot Product بالذنب أجيب
+
+575
+00:50:48,650 --> 00:50:51,570
+الـ Absolute Value تبع الـ R في الـ Absolute Value
+
+576
+00:50:51,570 --> 00:50:57,430
+تبع الـ S في الـ Cosine الزاوية اللي بينهم يساوي A
+
+577
+00:50:57,430 --> 00:51:04,010
+في B زائد C في D زائد E فمظبوط؟ طيب، اللي هي ..
+
+578
+00:51:04,010 --> 00:51:07,870
+الآن بدنا نجيب القيم هاي، بدك تضرب هاي؟ واحد زائد
+
+579
+00:51:07,870 --> 00:51:16,430
+صفر زائد صفر الآن قيمة الـ magnitude سالب واحد تربيع
+
+580
+00:51:16,430 --> 00:51:22,810
+واحد تربيع جذر اثنين وهنا جذر الخمسة جذر الخمسة
+
+581
+00:51:22,810 --> 00:51:29,490
+وبالتالي cosine inverse ثيتا باله تساوي الـ cosine
+
+582
+00:51:29,490 --> 00:51:33,710
+inverse لواحد على
+
+583
+00:51:33,710 --> 00:51:39,960
+جذر اثنين مضروبة في جذر الخمسة هي الزاوية اللي
+
+584
+00:51:39,960 --> 00:51:47,800
+بينهم وبتستخدم الـ calculator وبتعوض عندي
+
+585
+00:51:47,800 --> 00:51:55,760
+متجهة هيطلع عندي متجه ممكن أنا أستخدمه بس بشرط أنا
+
+586
+00:51:55,760 --> 00:51:59,720
+بيقول احسب الـ T في الأول وبعدين أجيب الـ magnitude
+
+587
+00:51:59,720 --> 00:52:03,980
+تبع الـ T اللي هيبقى تساوي الـ magnitude في الـ R في
+
+588
+00:52:03,980 --> 00:52:10,220
+الـ magnitude الـ S في Sin الزاوية اللي بينهم طب بس
+
+589
+00:52:10,220 --> 00:52:14,220
+هذا هو عبارة عن متجه بدي أضرب هدول تليك ضرب متجه
+
+590
+00:52:14,220 --> 00:52:18,180
+في الأول وبعدين أجيب الـ magnitude فلو كان التطبيق
+
+591
+00:52:18,180 --> 00:52:21,640
+عندي بالـ dot product أسهل لأن القيمة مقابلة
+
+592
+00:52:21,640 --> 00:52:27,760
+القيمة صح؟ أما ممكن تستخدم فيه cross product لكن
+
+593
+00:52:27,760 --> 00:52:34,660
+هتكون شوية الحل أطول بعد
+
+594
+00:52:34,660 --> 00:52:39,590
+و .. احنا ليش لغناء و ليش مسحسالب واحد واحد صفر
+
+595
+00:52:39,590 --> 00:52:47,570
+سالب واحد صفر اثنين مظبوط أنا بدي زاوية أنا بدي
+
+596
+00:52:47,570 --> 00:52:49,150
+الزاوية اللي بينهم بغض النظر عن الطريقة اللي ممكن
+
+597
+00:52:49,150 --> 00:52:57,610
+تجيبها بقول هاتلي normal vector تمام unit normal
+
+598
+00:52:57,610 --> 00:53:02,450
+unit يعني الـ magnitude تبعت واحد normal متعامد على
+
+599
+00:53:02,450 --> 00:53:07,380
+الـ triangle اللي محصور بينين ومين بين R و S هذا
+
+600
+00:53:07,380 --> 00:53:14,140
+بيشتغل cross product لأن الـ T الآن بيتساوي R cross
+
+601
+00:53:14,140 --> 00:53:19,240
+الـ S الـ T مباشرة هي عبارة عن Normal فبتضرب الآن يا
+
+602
+00:53:19,240 --> 00:53:24,940
+معتصم تضرب وبتروح تجيب الـ magnitude تبعتها و
+
+603
+00:53:24,940 --> 00:53:30,960
+بتحولها لإيش؟ لـ unit يعني الآن بتضرب cross product
+
+604
+00:53:33,180 --> 00:53:37,760
+T بيتساوي R cross الـS ضربه اتجاهي وبعدين بتجيب الـ
+
+605
+00:53:37,760 --> 00:53:42,360
+magnitude تبعت الـR لـT وبعدين الناتج هذا اللي طلع
+
+606
+00:53:42,360 --> 00:53:47,980
+عندك بتروح بيتحول لـ unit بحيث أنك تضرب الـ vector
+
+607
+00:53:47,980 --> 00:53:51,060
+في
+
+608
+00:53:51,060 --> 00:53:58,040
+الـ magnitude تبعته بتكون وصلت للنتيجة نعم كم صفحة
+
+609
+00:53:58,040 --> 00:53:58,620
+ضايل؟
+
+610
+00:54:04,690 --> 00:54:09,350
+بعدين بقول لك لو كان في عندي virtual camera موجودة
+
+611
+00:54:09,350 --> 00:54:16,790
+على الصفر والصفر والصفر بقول لي
+
+612
+00:54:16,790 --> 00:54:20,930
+في عندي virtual camera موجودة على النقطة صفر وصفر
+
+613
+00:54:20,930 --> 00:54:28,490
+وصفر وشوف لي المثلث اللي محصور بين R و S visible
+
+614
+00:54:28,490 --> 00:54:29,830
+ولا invisible للكاميرا
+
+615
+00:54:32,470 --> 00:54:37,190
+بتبين ولا بتبينش؟ المثلث أنا قريبًا عملت cross
+
+616
+00:54:37,190 --> 00:54:40,770
+في المسألة اللي جاب لها وهي ميزة ممكن تستفيد منها
+
+617
+00:54:40,770 --> 00:54:43,570
+إيش في الحل؟ واحد يقول طب لو أنا غلط في المسألة
+
+618
+00:54:43,570 --> 00:54:47,230
+اللي فوق يعني هذا هتطلع غلط؟ لأ يا صاحب، لأ، okay
+
+619
+00:54:47,230 --> 00:54:51,790
+تطلع غلط كمحصلة نهائية، أصبت؟ لكن أنا بالنسبة إلي،
+
+620
+00:54:51,790 --> 00:54:55,130
+بالنسبة إلي، خلاص عليك الأمس الـ cash على الـ cross
+
+621
+00:54:55,130 --> 00:54:58,130
+product لو ورود فيه مش هحاسبك عليه، بدي أحاسبك
+
+622
+00:54:58,130 --> 00:55:01,740
+عليهش؟ على موضوع أنه أنا بدي أجيب الزاوية إذا
+
+623
+00:55:01,740 --> 00:55:04,940
+الزاوية كانت أقل أو أقل من 90 فهي visible
+
+624
+00:55:04,940 --> 00:55:08,760
+otherwise invisible يعني بقى تجيب لي الزاوية و
+
+625
+00:55:08,760 --> 00:55:14,280
+تقول لي تقول لي هل جديش الـ visible ولا invisible
+
+626
+00:55:14,280 --> 00:55:17,240
+وبالتالي العالمتين هدول واحدة منهم على قياس
+
+627
+00:55:17,240 --> 00:55:20,620
+الزاوية واحدة تبعها على الـ decision هل visible ولا
+
+628
+00:55:20,620 --> 00:55:25,000
+invisible calculate the area of the triangle
+
+629
+00:55:27,390 --> 00:55:32,430
+between R و S مساحة المثلث اللي عندك نصف القاعدة
+
+630
+00:55:32,430 --> 00:55:40,930
+في درجة ارتفاع نصف T نصف الـ magnitude تبعت T مساحة
+
+631
+00:55:40,930 --> 00:55:46,180
+المثلث فممكن هذه القوانين كلها تتساعدكم مساحة المثلث
+
+632
+00:55:46,180 --> 00:55:49,520
+في الـ Cartesian product احنا قلنا الآن لما أنا
+
+633
+00:55:49,520 --> 00:55:53,120
+بضرب الـ Cartesian product أولاً المتجه اللي طالع
+
+634
+00:55:53,120 --> 00:55:58,940
+متجه متعامد الـ magnitude تبعته تساوي الـ area تبعت
+
+635
+00:55:58,940 --> 00:56:04,140
+متوازي مستطيلات أو متوازي أضلاع اللي محصور ما بين
+
+636
+00:56:04,140 --> 00:56:08,440
+المتجهين هي الـ R وهذا الـ S
+
+637
+00:56:11,260 --> 00:56:15,520
+مظبوط؟ لو أنا بدأت أكمل هذا فهي متوازي أضلاع الآن
+
+638
+00:56:15,520 --> 00:56:20,360
+الـ T الـ magnitude تبعت الـ T تساوي الـ area تبعت
+
+639
+00:56:20,360 --> 00:56:23,020
+متوازي الأضلاع بتاعة متوازي الأضلاع اللي Indiana
+
+640
+00:56:23,020 --> 00:56:29,900
+طب المثلث نصه
+
+641
+00:56:29,900 --> 00:56:35,160
+ارجع الراجل يقول هذا الكلام موجود وحلينا عليه
+
+642
+00:56:35,160 --> 00:56:37,280
+المثلة طيب
+
+643
+00:56:41,690 --> 00:56:47,630
+السؤال الخامس بقول لي في عندي مجموعة من النقاط
+
+644
+00:56:47,630 --> 00:57:00,410
+بصفر بواحد باثنين اشتغل
+
+645
+00:57:00,410 --> 00:57:09,240
+النقاط هذه بتشكل object بتشكل object بالـ 3D يعني
+
+646
+00:57:09,240 --> 00:57:15,140
+مفيك تتخيلوا هرم مسطح كونه 3 نقاط هرم مسطح يعني
+
+647
+00:57:15,140 --> 00:57:18,780
+مافيش فعليًا مافيش فيه إيش مافيش فيه بعد لاتجاه
+
+648
+00:57:18,780 --> 00:57:22,200
+الثالث بغض النظر إيش كان أول حاجة تقول لي هات لي
+
+649
+00:57:22,200 --> 00:57:26,680
+homogeneous coordinate لنقطة اللي عندي D صفر إيش
+
+650
+00:57:26,680 --> 00:57:31,260
+homogeneous coordinate يا شباب نقطة رابعة أيوة
+
+651
+00:57:31,260 --> 00:57:34,200
+النقطة دي عندي في الـ 3D homogeneous coordinate
+
+652
+00:57:34,200 --> 00:57:40,500
+معناته بتوظيف كواردنات رابعة اثنين اثنين صفر واحد
+
+653
+00:57:40,500 --> 00:57:44,900
+ما تفعلش تحط صفر يا خضر يا معتصم صفر لو أنت بقتجي
+
+654
+00:57:44,900 --> 00:57:52,480
+تجسم هتكون undefined بصبوط الصفر كانت عند المتجهات
+
+655
+00:57:52,480 --> 00:57:55,620
+لأنه أنا فعليًا ما أقدرش أعتمد في المتجهات على الـ
+
+656
+00:57:55,620 --> 00:57:58,820
+homogenous لازم أتكلم على الـ real value اللي عندي
+
+657
+00:58:00,770 --> 00:58:05,350
+أه ممكن تصير أربعة أربعة صفر اثنين أي قيمة بدك
+
+658
+00:58:05,350 --> 00:58:09,410
+إياها ما في مشكلة بس المهم تكون عملية القسمة صحيحة
+
+659
+00:58:09,410 --> 00:58:15,810
+وفي الآخر تدون إيه اثنين اثنين صفر بقول اكتب
+
+660
+00:58:15,810 --> 00:58:19,130
+transform function that scale the object fifty
+
+661
+00:58:19,130 --> 00:58:24,190
+percent of its original size اكتب لي معادلة الـ
+
+662
+00:58:24,190 --> 00:58:27,890
+scaling تمام الـ transform scaling اللي بيزيد ليها
+
+663
+00:58:27,890 --> 00:58:36,310
+مقدار خمسين في المائة في واحد ونصف الخمسين صحيح
+
+664
+00:58:36,310 --> 00:58:42,390
+خمسين في المائة اثنين الضعف double صح في واحد ونصف
+
+665
+00:58:42,390 --> 00:58:46,090
+X
+
+666
+00:58:46,090 --> 00:58:57,790
+prime ده تساوي واحد ونصف X Y prime واحد ونصف Y لأ
+
+667
+00:58:57,790 --> 00:59:03,400
+شوية خمسين في المائة نصف
+
+668
+00:59:03,400 --> 00:59:08,020
+ليش؟ ما قال لي أن أنا بيبقى يزيده قال له to scale it
+
+669
+00:59:08,020 --> 00:59:11,940
+to scale it to خمسين في المائة تخلي حجمه خمسين في
+
+670
+00:59:11,940 --> 00:59:21,820
+المائة من الحجم الأصلي أيوة في X ما تنساش
+
+671
+00:59:21,820 --> 00:59:28,960
+Z لأنه زي ما هو حتى لو ما فيش، بدك تكتب المعادلة
+
+672
+00:59:28,960 --> 00:59:34,620
+كاملة حتى لو الـ Z صفر تمام؟ بدك تكتب المعادلة
+
+673
+00:59:34,620 --> 00:59:38,780
+كاملة لأن الـ object تبعك في الـ 3D فلازم تكتب
+
+674
+00:59:38,780 --> 00:59:46,120
+المعادلة كاملة كل واحد عليها علامة أو نقطة طيب
+
+675
+00:59:46,120 --> 00:59:51,580
+بقول اكتب الـ transform matrix اللي بتعمل rotation
+
+676
+00:59:51,580 --> 00:59:58,310
+الـ object بمقدار 45 درجة على الـ Z axis على كيه فوق
+
+677
+00:59:58,310 --> 01:00:05,550
+أيوة
+
+678
+01:00:05,550 --> 01:00:12,390
+شباب أنا بدي أعمل rotation على الـ z axis ده 45
+
+679
+01:00:12,390 --> 01:00:19,070
+درجة rotation حول الـ z axis يعني بتتش roll عفواً
+
+680
+01:00:19,070 --> 01:00:26,440
+roll الـ z ثابتة والدوران ما بين x و y المصفوفة تبقى
+
+681
+01:00:26,440 --> 01:00:30,360
+في كده إيش حد يمشي بقى؟ أربعة في أربعة إذا تحط ثلاثة
+
+682
+01:00:30,360 --> 01:00:35,980
+في ثلاثة غلط أربعة في أربعة كوزاين
+
+683
+01:00:35,980 --> 01:00:44,300
+خمسة وأربعين سالب ساين خمسة وأربعين صفر صفر ساين
+
+684
+01:00:44,300 --> 01:00:51,560
+خمسة وأربعين كوزاين الخمسة والأربعين صفر صفر صفر صفر
+
+685
+01:00:51,560 --> 01:01:01,160
+واحد صفر صفر صفر صفر صفر صفر
+
+686
+01:01:01,160 --> 01:01:04,300
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+687
+01:01:04,300 --> 01:01:04,440
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+688
+01:01:04,440 --> 01:01:05,680
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+689
+01:01:05,680 --> 01:01:11,480
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+690
+01:01:11,480 --> 01:01:21,500
+صفر صفر صفر صفر صفر صفر بالقيم اللي موجودة عندها
+
+691
+01:01:21,500 --> 01:01:24,780
+أنا هنا هنا في الصور بس بقول لك write the matrix
+
+692
+01:01:24,780 --> 01:01:34,100
+اللي بتعمله rotation المقدار 45 درجة النقطة
+
+693
+01:01:34,100 --> 01:01:36,220
+الأخيرة reflect the point
+
+694
+01:01:42,040 --> 01:01:45,180
+reflect the point ثلاثة وخمسة .. خمسة وثلاثة
+
+695
+01:01:45,180 --> 01:01:52,560
+عفواً about arbitrary Y axis X equal ثلاثة جيب
+
+696
+01:01:52,560 --> 01:01:58,240
+انعكاس النقطة هذه على arbitrary Y axis عند الـ X
+
+697
+01:01:58,240 --> 01:02:05,940
+بتساوي ثلاثة X
+
+698
+01:02:05,940 --> 01:02:08,040
+prime بتساوي
+
+699
+01:02:11,790 --> 01:02:18,950
+إيش مطلوب منك تعمل؟ ثالث X ثالث X ثالث X ثالث X
+
+700
+01:02:18,950 --> 01:02:19,910
+ثالث X ثالث X ثالث X ثالث X ثالث X ثالث X ثالث X 
+
+701
+01:02:19,910 --> 01:02:19,990
+ثالث X ثالث X ثالث X ثالث X ثالث X ثالث X ثالث X
+
+702
+01:02:19,990 --> 01:02:20,750
+ثالث X ثالث X ثالث X ثالث X ثالث X ثالث X ثالث X
+
+703
+01:02:20,750 --> 01:02:23,990
+ثالث X ثالث X ثالث X ثالث X ثالث X ثالث X ثالث X
+
+704
+01:02:23,990 --> 01:02:31,670
+ثالث X ثالث X ثالث X ثالث X ثالث X ثالث 
+
+705
+01:02:31,670 --> 01:02:35,850
+X ثالث
+
+706
+01:02:37,180 --> 01:02:43,760
+بـ X مقص 3 تمام؟ وبعدين زيد X ثلاثة برا يعني هيك
+
+707
+01:02:43,760 --> 01:02:46,760
+بحاجة أقول X بـ .. أول شيء الـ Y برا ما فيش عليها تغيير
+
+708
+01:02:46,760 --> 01:02:54,380
+تمام؟ لأن هو بيقول لي about الـ Y axis صح؟ Y axis
+
+709
+01:02:54,380 --> 01:02:57,200
+معناته اللي هتتغير قيمة الـ X الـ Y ثابتة في
+
+710
+01:02:57,200 --> 01:03:02,860
+الارتفاع تساوي مقص X هي الـ reflection استبدل كل X
+
+711
+01:03:02,860 --> 01:03:08,360
+بـ X مقص 3 وأضيف 3 مش هيك؟ هذه المعادلة تبقى تنهيأكي 
+
+712
+01:03:08,360 --> 01:03:13,160
+اشتغلها احنا عشان الـ Arbitrary axis اللي عندي
+
+713
+01:03:13,160 --> 01:03:17,060
+ثلاثة مش كلنا فيه ثلاث خطوات لما بنتبطه لنقطة
+
+714
+01:03:17,060 --> 01:03:20,740
+معينة أو لتبع الـ axis معين بأضيف الـ coordinate
+
+715
+01:03:20,740 --> 01:03:26,100
+اللي بيكس كانت تمام؟ وبستبدلها أول حاجة بستبدل كل 
+
+716
+01:03:26,100 --> 01:03:30,800
+X بـ X مقص بيكس وبأضيف بيكس لكل المسألة لكن لما 
+
+717
+01:03:30,800 --> 01:03:34,700
+تكون reflection فهي واحدة اللي بتتغير فيهم فهذا هي
+
+718
+01:03:34,700 --> 01:03:44,840
+وهذا تساوي سالب ثلاثة .. سالب .. سالب X سالب X سالب
+
+719
+01:03:44,840 --> 01:03:51,500
+أو زائد ثلاثة زائد ثلاثة وليه بدأت تساوي سالب X
+
+720
+01:03:51,500 --> 01:03:57,260
+زائد ستة اللي هي اثنين في ثلاثة اللي هي القانون لو
+
+721
+01:03:57,260 --> 01:04:04,640
+ما كنتش حافظ القانون أعوض مباشر عنها سالب X زائد
+
+722
+01:04:06,550 --> 01:04:10,810
+الآن النقطة تبعتي خمسة وثلاثة شكلها الجديد كم
+
+723
+01:04:10,810 --> 01:04:20,950
+هيكون سالب خمسة وستة واحد وثلاثة كما هي كيف؟
+
+724
+01:04:20,950 --> 01:04:26,590
+لا هي بيقول حولين و arbitrary y-axis الـ y-axis
+
+725
+01:04:26,590 --> 01:04:30,170
+عمودي arbitrary يعني بيقول عندي الـ X تساوي ثلاثة
+
+726
+01:04:32,790 --> 01:04:37,090
+أعمل لي خط وعليه reflection فالـ Y ارتفاع الـ Y ثابت
+
+727
+01:04:37,090 --> 01:04:45,190
+بس مين اللي بيتغير الـ X حوالين الـ X سواء ثلاثة أكيد
+
+728
+01:04:45,190 --> 01:04:47,870
+مش بدي في الـ Y أنا لو الـ Y كانت ضالة مباشرة ضالة
+
+729
+01:04:47,870 --> 01:04:53,230
+بتساوي سالب واحد وخلصنا تمام الشباب الله يعطيكم العافية
+
+730
+01:04:53,230 --> 01:04:55,890
+أتمنى لكم التوفيق إن شاء الله تعالى أدرس كويس
+
+731
+01:04:55,890 --> 01:04:58,930
+للامتحان لأن برضه أنا بأخذ وقتي وأنا بحط الامتحان 
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/_QFs8zUHmrY.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/_QFs8zUHmrY.srt
new file mode 100644
index 0000000000000000000000000000000000000000..03013b395133adf3680a080c997571e484a3cd2e
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/_QFs8zUHmrY.srt
@@ -0,0 +1,2359 @@
+1
+00:00:21,090 --> 00:00:22,930
+باسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:22,930 --> 00:00:25,050
+الله اليوم إن شاء الله هنكمل في chapter 
+
+3
+00:00:25,050 --> 00:00:30,190
+trigonometry وكلنا اتكلمنا على الـ functions
+
+4
+00:00:30,190 --> 00:00:33,710
+الأساسية أو الـ main functions اللي موجودة أو 
+
+5
+00:00:33,710 --> 00:00:37,670
+سميناها الـ geometric ratios كانت الـ sine اللي هي 
+
+6
+00:00:37,670 --> 00:00:41,970
+الـ opposite على الـ hypotenuse كانت الـ cosine اللي
+
+7
+00:00:41,970 --> 00:00:44,590
+هي الـ adjacent على الـ hypotenuse والـ tan opposite
+
+8
+00:00:44,590 --> 00:00:49,450
+على adjacent وشوفنا المثال هذا بحيث إننا نجيب بقى
+
+9
+00:00:49,450 --> 00:00:53,490
+عناصر المثلث المفقودة بناء على الـ sine والـ
+
+10
+00:00:53,490 --> 00:01:00,950
+cosine الآن لو احنا سألنا على مستوى الدوال اللي
+
+11
+00:01:00,950 --> 00:01:01,730
+موجودة عندنا هنا
+
+12
+00:01:11,840 --> 00:01:18,800
+Sin ايش الزاوية؟ تمام؟ ايه الزاوية اللي أنا
+
+13
+00:01:18,800 --> 00:01:25,520
+باخدها؟ أي زاوية؟ مظبوط؟ أي زاوية؟ فراح من صفر
+
+14
+00:01:25,520 --> 00:01:29,720
+لااثنين باي من صفر لااثنين باي أو أقل من اثنين باي
+
+15
+00:01:29,720 --> 00:01:35,100
+ممتاز طيب احنا قبل شوية بنتكلم كنا إن أنا بتكلم 
+
+16
+00:01:35,100 --> 00:01:35,780
+على ratio
+
+17
+00:01:38,360 --> 00:01:41,660
+بتكلم على نسبة وشوفنا فعليًا النسبة هي بين أضلاع
+
+18
+00:01:41,660 --> 00:01:46,520
+المثلث لما رسمت المثلث أنا مثلث قائم الزاوية
+
+19
+00:01:46,520 --> 00:01:52,420
+وافترضت أن هذه هي الزاوية θيتا بقول فينا الـ
+
+20
+00:01:52,420 --> 00:01:57,020
+opposite adjacent hypotenuse صح؟ وجينا بقول
+
+21
+00:01:57,020 --> 00:02:03,420
+الـ sine هي عبارة sin θ تساوي الـ opposite على
+
+22
+00:02:03,420 --> 00:02:08,700
+الـ hypotenuseالثالثة عبارة عن زاوية صح؟ الآن في نفس
+
+23
+00:02:08,700 --> 00:02:14,440
+الوقت الثلاثة بتمثل function عندي ها بتاخد قيمة و
+
+24
+00:02:14,440 --> 00:02:18,420
+بتعطيني قيمة تالية أو بتعمل association ربط ما بين
+
+25
+00:02:18,420 --> 00:02:23,840
+قيمة الزاوية والـ ratio المناسبة اللي لها فلو أنا
+
+26
+00:02:23,840 --> 00:02:29,820
+اجيت وقلت لك هذه رسمة الـ sine تمام؟ وسألتك شو الـ
+
+27
+00:02:29,820 --> 00:02:34,370
+domain تبعتها نذكر مصطلح الـ domain شو يعني؟ المجال
+
+28
+00:02:34,370 --> 00:02:41,430
+ترجمته بالعربي المصطلح ايش يعني؟
+
+29
+00:02:41,430 --> 00:02:47,010
+هي عامل...
+
+30
+00:02:47,010 --> 00:02:52,770
+هي عبارة عن قيم المعطاة للدالة تمام؟ بحيث إن
+
+31
+00:02:52,770 --> 00:02:57,250
+تبقى الدالة صحيحة ومعرفة بدون مشاكل اللي هي
+
+32
+00:02:57,250 --> 00:03:01,770
+بينجوسين عما يصير محور X دائمًا طبعًا لأن الدالة
+
+33
+00:03:01,770 --> 00:03:07,650
+دائمًا احنا سميناها F of X بنتساوي الـ Y وقلنا الـ Y
+
+34
+00:03:07,650 --> 00:03:11,970
+عبارة عن مجموعة الصور اللي على محور الـ Y مظبوط الـ
+
+35
+00:03:11,970 --> 00:03:18,230
+range الآن لو أنت نظرت بشكل دقيق للـ sine بالمناسبة
+
+36
+00:03:18,230 --> 00:03:22,530
+إذا أنت قلت من سالب ما لا نهاية إلى موجب ما لا 
+
+37
+00:03:22,530 --> 00:03:24,070
+نهاية فترة مفتوحة في الـ domain
+
+38
+00:03:29,350 --> 00:03:34,130
+هتكون صح عارف ليش؟ لأنك بتبقى اللي يلف... تقولها
+
+39
+00:03:34,130 --> 00:03:38,370
+دي دائرة تبدأ من صفر وعندما تصل 360  وترجع دائرة جديدًا عند الصفر و تبقى اللي يلف 
+
+40
+00:03:38,370 --> 00:03:42,190
+فأنت فعليًا الأرقام اللي عندك لو أخذتها من المال
+
+41
+00:03:42,190 --> 00:03:45,830
+عليها يعني الآن على سبيل المثال لو أتينا أقول لك
+
+42
+00:03:49,070 --> 00:03:52,070
+370 
+
+44
+00:03:54,750 --> 00:03:59,050
+هذه 10 لأن 360 لفت لفة كاملة وودتني
+
+45
+00:03:59,050 --> 00:04:06,110
+نفس الـ... يعني هذه sin 370 يساوي sin
+
+46
+00:04:06,110 --> 00:04:12,210
+الـ 10 يساوي sin الـ 10 مش هتتغير ولا حاجة طيب لو
+
+47
+00:04:12,210 --> 00:04:19,650
+أنا اجيت قلت بدي أتكلم على 640 sin
+
+48
+00:04:19,650 --> 00:04:20,490
+الـ 640
+
+49
+00:04:24,880 --> 00:04:28,820
+جد ايش؟ ليش 280؟ ده كتش مضاعفات الـ 360
+
+50
+00:04:28,820 --> 00:04:32,420
+360
+
+51
+00:04:32,420 --> 00:04:36,200
+و 360 720
+
+52
+00:04:36,200 --> 00:04:40,140
+4... معناته الـ... اه 7... أنا بدأك تقول...
+
+53
+00:04:40,140 --> 00:04:44,540
+عفوًا أنا بدأك تقول 740 معناته
+
+54
+00:04:44,540 --> 00:04:50,170
+بتكلم على 280 جدًا ما تضرب خذ دائمًا ايش ما كانت 
+
+55
+00:04:50,170 --> 00:04:53,610
+الزاوية هذه بتجتعرف الزاوية المقابلة منها تمام؟
+
+56
+00:04:53,610 --> 00:04:57,130
+خذ مضاعفات الـ 360 واطرحهم على الرقم بتحصل على 
+
+57
+00:04:57,130 --> 00:05:00,670
+الزاوية الحقيقية اللي أنت موجود طب الزاوية هذه من
+
+58
+00:05:00,670 --> 00:05:05,850
+ايه؟ من وين لوين؟ من جديش لجديش؟ الآن إذا أنا قلت
+
+59
+00:05:05,850 --> 00:05:12,270
+من صفر تعالي تطلعي في الرسمة يصير الصفر صفر طيب لحد
+
+60
+00:05:12,270 --> 00:05:14,350
+π على 2
+
+61
+00:05:17,590 --> 00:05:22,130
+لحد الـ 90 sin الـ 90 كانت ايش يا شباب؟ 1 sin
+
+62
+00:05:22,130 --> 00:05:26,190
+الـ 90 1 وبعد ذلك الدالة بدت ايش؟ بدت تنزل
+
+63
+00:05:26,190 --> 00:05:29,670
+وكأنه انعمل mirror لمين؟ للـ curve اللي موجود عندنا
+
+64
+00:05:29,670 --> 00:05:33,990
+طب مش عمال احنا بنقول من سالب ملأ نهاية نقولها صح
+
+65
+00:05:33,990 --> 00:05:38,350
+طب ليش اختزلناها بالصفر؟ بينما ازاي فعليًا الرسم
+
+66
+00:05:38,350 --> 00:05:42,810
+بتاعها يبتبدأ من سالب π على 2 لحد π على 
+
+67
+00:05:42,810 --> 00:05:47,660
+2 بعد هيك بيصير الـ curve هذا عمال ايش؟ بعنوان
+
+68
+00:05:47,660 --> 00:05:53,420
+عمله mirror وتتذكر لما اتكلمنا عن ارتفاع المثلث في
+
+69
+00:05:53,420 --> 00:05:59,920
+الدائرة كل 
+
+70
+00:05:59,920 --> 00:06:03,620
+ما جلت القاعدة زاد الارتفاع يعني في الـ... هيك لو
+
+71
+00:06:03,620 --> 00:06:09,260
+أنا اتكلمت لك هنا على الـ height هنا height H في
+
+72
+00:06:09,260 --> 00:06:16,520
+الربع هذا جاعت بزيد ولا لا في الربع الثاني بقل في
+
+73
+00:06:16,520 --> 00:06:21,700
+اللي بعده بزيد في اللي بعده بنقص وهكذا حضر
+
+74
+00:06:21,700 --> 00:06:26,400
+للدائرة إن فعليًا في عندي cycle موجودة على الـ value
+
+75
+00:06:26,400 --> 00:06:30,200
+الموجودة فلو أنا اختزل في الـ domain وكتبت من سالب 
+
+76
+00:06:30,200 --> 00:06:38,310
+π على 2 إلى π على 2 هذا الكلام صح وإذا
+
+77
+00:06:38,310 --> 00:06:43,290
+كتبت من صفر إلى 180 برضه صح وزي ما قلت
+
+78
+00:06:43,290 --> 00:06:46,590
+لك من البداية إذا كتبت من صفر إلى ما لا نهاية برضه 
+
+79
+00:06:46,590 --> 00:06:49,990
+صح لكن صفر إلى ما لا نهاية بتوحي لرقم لـ real
+
+80
+00:06:49,990 --> 00:06:53,550
+number كبير وعادة الزوايا إذا أنا بتتكلم على
+
+81
+00:06:53,550 --> 00:06:58,010
+domain هناك لزاوية مهاتف بتتكلم Radian عشان أقدر
+
+82
+00:06:58,010 --> 00:07:00,830
+أميّز القيم اللي موجودة عندها فلو أنت كتبت ايش ما
+
+83
+00:07:00,830 --> 00:07:05,370
+كتبتها الشباب من القيم لاحظ الدالة من سالب مالها
+
+84
+00:07:05,370 --> 00:07:08,630
+نهاية إلى موجب مالها نهاية معرفة ما فيش فيها مشاكل
+
+85
+00:07:08,630 --> 00:07:13,110
+وبالتالي ايش ما كتبت الـ domain هو فعليًا حكمه صحيح
+
+86
+00:07:13,110 --> 00:07:17,380
+بدون أي مشاكل طيب ليش اختزلناها انبسط من أجل إن
+
+87
+00:07:17,380 --> 00:07:21,820
+نبسط المسألة مش أكثر من هيك تمام طيب في المقابل
+
+88
+00:07:21,820 --> 00:07:25,760
+أنا كان في عندي domain وفي عندي الـ range ايش الـ
+
+89
+00:07:25,760 --> 00:07:28,960
+range؟ هي عبارة عن مجموعة القيم اللي بتنتج عن
+
+90
+00:07:28,960 --> 00:07:33,400
+الدالة مجموعة القيم اللي بتنتج عن الدالة طيب ايش 
+
+91
+00:07:33,400 --> 00:07:38,420
+حسب القيم اللي موجودة عندها؟ sin
+
+92
+00:07:38,420 --> 00:07:47,320
+الـ 0 0 sin الـ 90 1 sin الـ -90 -1
+
+93
+00:07:47,320 --> 00:07:50,700
+هل ممكن الكلام تطلع معايا تغير من -1
+
+94
+00:07:50,700 --> 00:07:54,480
+أكبر من 1 لأ وبالتالي أنا بتكلم على closed
+
+95
+00:07:54,480 --> 00:08:03,400
+interval من -1 لـ 1 الكزاي نفسها بدون
+
+96
+00:08:03,400 --> 00:08:09,180
+اختلاف من 
+
+97
+00:08:09,180 --> 00:08:15,060
+صفر لـ π  1  للحناقة height عشان يجيب لي إن العناصر
+
+98
+00:08:15,060 --> 00:08:18,020
+فعليًا صار في زيادة ونقصان في ارتفاع الـ height تبع
+
+99
+00:08:18,020 --> 00:08:21,920
+المثلث اللي موجود عندها طيب لو تقولي أنا من سالب
+
+100
+00:08:21,920 --> 00:08:27,420
+π لسالب لموجب π نفس المشكلة... نفس الحاجة ما فيش
+
+101
+00:08:27,420 --> 00:08:33,380
+مشكلة الآن tan الـ 90... tan الـ 90 
+
+102
+00:08:33,380 --> 00:08:37,580
+حرام عليكم طب tan الـ 0 أو معناته طب
+
+103
+00:08:37,580 --> 00:08:42,230
+خليكوا معايا أصحابي الوجهة عشان نروح لأخر slide خذ
+
+104
+00:08:42,230 --> 00:08:45,110
+ليدك... في حد... في حد عاصر فينا؟ في حد بيستخدم
+
+105
+00:08:45,110 --> 00:08:50,430
+يده الشمال؟ طيب طالع في يدك الشمال هيك تمام؟ زوايا
+
+106
+00:08:50,430 --> 00:08:56,790
+0 30 45 60 90 فدول الـ main
+
+107
+00:08:56,790 --> 00:09:01,650
+angles اللي دائمًا بنستخدمهم كمان مرة 0 30
+
+108
+00:09:01,650 --> 00:09:05,850
+45 60 90 الآن الـ sine عشان ما 
+
+109
+00:09:05,850 --> 00:09:10,870
+تنسهاش الـ sine للزاوية تساوي
+
+110
+00:09:16,250 --> 00:09:21,710
+على 2 ايش اللي تحت الجذر؟ لا لا ايش اللي تحت 
+
+111
+00:09:21,710 --> 00:09:25,630
+الجذر رقم حد كده علمتي صفر مجهولة الآن اطلع في 
+
+112
+00:09:25,630 --> 00:09:31,330
+يدك sin الـ 0 هي عبارة عن عدد أصابعك اللي تحت
+
+113
+00:09:31,330 --> 00:09:35,590
+الصفر كم إصبع عليك كده ما شاء الله عليك 0 جذر
+
+114
+00:09:35,590 --> 00:09:39,210
+الـ 0 0
+
+115
+00:09:39,210 --> 00:09:47,620
+على 2 0 تمام sin الـ 30 1 تحت الجذر على 
+
+116
+00:09:47,620 --> 00:09:53,420
+2، جذر الـ 1؟ 1، 1 على 2؟ 1/2، 45 
+
+117
+00:09:53,420 --> 00:10:01,760
+جذر الـ 2 على 2، جذر الـ 60، جذر
+
+118
+00:10:01,760 --> 00:10:09,490
+الـ 3 على 2 sin 90 جذر الـ 4 على 2 جذر 
+
+119
+00:10:09,490 --> 00:10:14,030
+الـ 4 على 2 2 على 2 1 خلصتها سهلة
+
+120
+00:10:14,030 --> 00:10:19,490
+الـ cos بتعد الأصابع اللي فوق الزاوية cos الـ 0
+
+121
+00:10:19,490 --> 00:10:24,030
+الأربعة أصابع اللي فوق الزاوية جذر الـ 4 على 2
+
+122
+00:10:24,030 --> 00:10:32,390
+1 cos الـ 30 جذر الـ 3 على 2 cos الـ 45 جذر
+
+123
+00:10:32,390 --> 00:10:42,370
+2 على 2 cos الـ 60 جذر الـ 1 على 2 يعني 1/2 جذر الـ 90 جذر 0
+
+124
+00:10:42,370 --> 00:10:49,230
+وسفر سهلة؟ نحفظها موجودة معك في الـ slide أيضًا ركبت لك
+
+125
+00:10:49,230 --> 00:10:55,550
+اياها في آخر الـ slide tan مالهاش function ليه هو 
+
+126
+00:10:55,550 --> 00:10:58,930
+function tan مالهاش function ليه هو function 
+
+127
+00:10:58,930 --> 00:11:05,350
+tan مالهاش
+
+128
+00:11:05,350 --> 00:11:05,670
+function ليه هو function tan مالهاش function ليه
+
+129
+00:11:05,670 --> 00:11:05,710
+هو function tan مالهاش function ليه هو function
+
+130
+00:11:05,710 --> 00:11:05,930
+tan مالهاش function ليه هو function tan مالهاش
+
+131
+00:11:05,930 --> 00:11:07,150
+tan مالهاش function ليه هو function tan مالهاش
+
+132
+00:11:07,150 --> 00:11:07,530
+function ليه هو function tan مالهاش function ليه
+
+133
+00:11:07,530 --> 00:11:08,410
+هو function tan مالهاش function ليه هو function
+
+134
+00:11:08,410 --> 00:11:09,390
+tan مالهاش function ليه هو function tan مالهاش
+
+135
+00:11:09,390 --> 00:11:12,590
+function ليه هو function tan مالهاش function ليه
+
+136
+00:11:12,590 --> 00:11:18,740
+هو function tan هذه 60 جذر الـ 3 على cos
+
+137
+00:11:18,740 --> 00:11:25,640
+الـ 60 1/2 هذه cos الـ 60 هذه 60 cosها 1
+
+138
+00:11:25,640 --> 00:11:32,040
+1 على 2 فسهل
+
+139
+00:11:32,040 --> 00:11:35,840
+إنك تجيبها تنمشي بعد؟ طيب
+
+140
+00:11:39,400 --> 00:11:43,000
+الآن القيمة اللي جالس بتتكلم عليها أكبر قيمة بين 
+
+141
+00:11:43,000 --> 00:11:49,300
+أنا وانا كده الشباب؟ واحد جزر الأربعة على اثنين
+
+142
+00:11:49,300 --> 00:11:54,840
+واحد اكبر قيمة مصبوط ولا لأ؟ وبالتالي أنا بقدر
+
+143
+00:11:54,840 --> 00:11:57,360
+اجيب الزوايا عندي بشكيش سريع حتى بدون ال
+
+144
+00:11:57,360 --> 00:12:04,270
+calculator طيب اللي يعنيني إذا أنا بدأ أفترض أن ال
+
+145
+00:12:04,270 --> 00:12:09,390
+range تبعي هي الـ domain تبعي بيبدأ من صفر كزاير
+
+146
+00:12:09,390 --> 00:12:15,070
+الصفر بواحد وبينتهي معناته أول وصف للرقم هينتهي في
+
+147
+00:12:15,070 --> 00:12:22,870
+الـ domain domain كزاير الصفر فعطيني واحد كزاير ال
+
+148
+00:12:22,870 --> 00:12:30,970
+π الـ 180 سالب واحد سالب واحد أكثر تمام طيب الـ tan
+
+149
+00:12:34,140 --> 00:12:39,800
+التان أيوة التان شو واضح يا شباب بدي اجيب ال
+
+150
+00:12:39,800 --> 00:12:47,500
+domain و بدي اجيب الـ range اللي اعطيتها احنا
+
+151
+00:12:47,500 --> 00:12:53,320
+كتبنا قانون قبل شوية الـ tan تساوي الـ sin على ال
+
+152
+00:12:53,320 --> 00:12:53,520
+cosine
+
+153
+00:13:03,650 --> 00:13:10,570
+صح؟ إذا أنا في عندي مشكلة بما
+
+154
+00:13:10,570 --> 00:13:14,870
+أن الـ cosine في المقام بما أن الـ cosine في المقام
+
+155
+00:13:14,870 --> 00:13:18,770
+و الصفر .. لأ السالب مش مشكلة السالب مشكلة لو كان
+
+156
+00:13:18,770 --> 00:13:22,630
+تحت الجذر بس الآن في عندي قسمة على صفر هتيجي هان
+
+157
+00:13:22,630 --> 00:13:28,930
+هي قيمة واحدة اللي عندنا مشكلة الصفر هان مين الزمن
+
+158
+00:13:28,930 --> 00:13:33,410
+اللي بتديني الـ cosine صفر تلاتها؟ الـ π/2 لما
+
+159
+00:13:33,410 --> 00:13:37,210
+أنا عند الـ π/2 لما بأخذ الـ π/2 الـ cosine
+
+160
+00:13:37,210 --> 00:13:44,310
+بيطلع 0 مصبوط؟ طيب معناته أنا بدي أقوله كان 90
+
+161
+00:13:44,310 --> 00:13:55,710
+تساوي sin 90 على cosine 90 1 على 0 undefined مش
+
+162
+00:13:55,710 --> 00:14:00,590
+لما للانهاية لأ undefined عملية غير معرفة تمام؟
+
+163
+00:14:00,590 --> 00:14:07,210
+وبالتالي الآن بدك تختار الـ range تبعك بشكل دقيق ها
+
+164
+00:14:07,210 --> 00:14:14,550
+أنا كانت معك بحبوحة مظبوط؟ هتشيك الزاوية هيها خط
+
+165
+00:14:14,550 --> 00:14:18,810
+أحمر الأساسي هذا ايش القيم اللي أنا بدي أخدها وما
+
+166
+00:14:18,810 --> 00:14:25,450
+تديني قيمة غير معرفة π/2 و سالب π/2 
+
+167
+00:14:25,450 --> 00:14:29,540
+هدول بتطلعهم من الحسبة فقط بالقيمتين هدول
+
+168
+00:14:29,540 --> 00:14:35,780
+طب ازاي 91 فيها مشكلة؟ لأ ازاي 90.110 فيها مشكلة؟
+
+169
+00:14:35,780 --> 00:14:41,360
+لأ مشكلتي فقط عند الـ 90 عند الـ π/2 سواء كانت
+
+170
+00:14:41,360 --> 00:14:47,420
+سلبية أو موجبة، مصبوط؟ طب في حد بيذكرنا سواء كانت
+
+171
+00:14:47,420 --> 00:14:55,220
+سلبية أو موجبة، صح الكلام؟ قل
+
+172
+00:14:55,220 --> 00:15:03,780
+عن الـ sin عبارة عن odd function صين
+
+173
+00:15:03,780 --> 00:15:16,980
+سالب θ يساوي سالب sin للـ θ، مصبوط؟ مش الحلب
+
+174
+00:15:16,980 --> 00:15:22,090
+عشان هي بتقول عنها even بظبط كامل كامل صح قلنا ال
+
+175
+00:15:22,090 --> 00:15:25,830
+cosine even function بس اللي أنا بهمني قد هذه طيب
+
+176
+00:15:25,830 --> 00:15:31,530
+الآن ايش بتقول أنت يا كابل الـ cosine لسالب θ
+
+177
+00:15:31,530 --> 00:15:38,390
+يساوي الـ cosine الـ θ يعني cosine سالب π/
+
+178
+00:15:38,390 --> 00:15:44,920
+2 يساوي كزيان الـ π/2 يساوي صفر مظبوط
+
+179
+00:15:44,920 --> 00:15:47,680
+وبالتالي عند الصفر أنا لازم اختار الـ range تبعي
+
+180
+00:15:47,680 --> 00:15:52,760
+بشكل نبدأ عند الـ domain π/2 سالب الـ π/2
+
+181
+00:15:52,760 --> 00:15:56,080
+و π/2 مش من ضمن الـ range فلازم تكون الفترة
+
+182
+00:15:56,080 --> 00:16:00,120
+عندهم مفتوحة وبناء عليه لما أنا بدي أُحدد الـ range
+
+183
+00:16:00,120 --> 00:16:11,110
+طيب طيب القيمة اللي أكبر بدرجة واحدة مش حنا قلنا
+
+184
+00:16:11,110 --> 00:16:16,050
+degree قلنا في عندي أنا degree وفي عندي minute وفي 
+
+185
+00:16:16,050 --> 00:16:19,950
+عندي second مظبوط اللي بعد اللي أكبر من الـ π
+
+186
+00:16:19,950 --> 00:16:24,690
+سالب π/2 born second لأ مش واحد وتسعين
+
+187
+00:16:24,690 --> 00:16:26,050
+هي أبواعها
+
+188
+00:16:28,370 --> 00:16:33,950
+تسعين point أو تسعة بالسالب تكون تسعة وتمانين
+
+189
+00:16:33,950 --> 00:16:36,290
+point تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة
+
+190
+00:16:36,290 --> 00:16:36,430
+تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة
+
+191
+00:16:36,430 --> 00:16:36,530
+تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة
+
+192
+00:16:36,530 --> 00:16:36,830
+تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة
+
+193
+00:16:36,830 --> 00:16:37,650
+تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة
+
+194
+00:16:37,650 --> 00:16:38,450
+تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة
+
+195
+00:16:38,450 --> 00:16:42,290
+تسعة تسعة تسعة تسعة تسعة تسعة تسعة
+
+196
+00:16:42,290 --> 00:16:47,520
+بتلاحظ إن مافيش تماثل على نقطة الـ π/2 و
+
+197
+00:16:47,520 --> 00:16:51,980
+سالب π/2 مع الزاوية لكن عند المالة نهاية
+
+198
+00:16:51,980 --> 00:16:54,820
+لما تكون الـ π/2 هذه بتصير القيمة غير
+
+199
+00:16:54,820 --> 00:17:00,040
+معرفة، مظبوط؟ فبتكون إذا اقتربت بحد كبير للخط لكن
+
+200
+00:17:00,040 --> 00:17:03,300
+ما عملتش، ماتتش، ما قابعته، لو قابعته، ما هي بتتصرف
+
+201
+00:17:03,300 --> 00:17:08,980
+فيه عندي قيمة؟ معرفة، نعم تمام، وبالتالي الفترة
+
+202
+00:17:08,980 --> 00:17:13,400
+بيكون مفتوحة مطابقة تماما للفترة اللي موجودة عندها
+
+203
+00:17:16,060 --> 00:17:20,880
+واضح الأمور يا شباب؟ لأ ماذا لم يبقى واضح عندنا
+
+204
+00:17:20,880 --> 00:17:25,000
+لكي نعيد ثاني الآن في chapter الـ function مرت
+
+205
+00:17:25,000 --> 00:17:30,960
+علينا الـ inverse قلنا معكوس الدالة معكوس الدالة
+
+206
+00:17:30,960 --> 00:17:35,800
+ايش هو يا شباب الو
+
+207
+00:17:35,800 --> 00:17:39,840
+بيرجع بياخد قيمة الـ Y و بيرجعها لـ X الأصلية أصبت؟
+
+208
+00:17:39,840 --> 00:17:44,900
+معكوس الدالة يعني هيك لو كانت India أنا F of X
+
+209
+00:17:45,760 --> 00:17:51,800
+بديها تساوي Y لما تكلمنا عن الـ inverse تمام قرنا
+
+210
+00:17:51,800 --> 00:18:00,860
+F inverse للـ Y بديها تساوي X كيف اجت لأن هذه F
+
+211
+00:18:00,860 --> 00:18:06,240
+inverse للـ F و X وتساوي
+
+212
+00:18:07,810 --> 00:18:12,970
+X صح وهتشوفناها مباشرة مع الـ sin و الـ cosine و
+
+213
+00:18:12,970 --> 00:18:16,430
+شفناها بشكل مباشر مع الـ sin و الـ cosine ال
+
+214
+00:18:16,430 --> 00:18:24,830
+inverse function أو الـ inverse ratio بيحول ال
+
+215
+00:18:24,830 --> 00:18:31,010
+ratio ليمين لزاوية بيحول الـ ratio لزاوية يعني
+
+216
+00:18:31,010 --> 00:18:34,250
+المفروض الآن الـ arc inverse أو الـ sin inverse
+
+217
+00:18:34,250 --> 00:18:42,540
+بتاخد من ايه بتاخد من الـ real number من الفترة نرجع
+
+218
+00:18:42,540 --> 00:18:50,060
+هنا الـ function sin x معرفة من الـ domain للـ range
+
+219
+00:18:50,060 --> 00:18:55,700
+sin
+
+220
+00:18:55,700 --> 00:19:00,800
+inverse معرفة
+
+221
+00:19:00,800 --> 00:19:04,100
+من الـ range للـ domain عكسها تماما لأن المفروض هي
+
+222
+00:19:04,100 --> 00:19:05,540
+تديني زاوية
+
+223
+00:19:11,040 --> 00:19:17,900
+سواء كتبنا لك arc inverse أو كتبنا لك sine inverse
+
+224
+00:19:17,900 --> 00:19:26,760
+أو arc sine أو sine السالي بواحد هيك أو هيك نفس
+
+225
+00:19:26,760 --> 00:19:33,300
+المعنى طيب تمام هذه الـ domain للـ range عكسنا لك هي
+
+226
+00:19:33,300 --> 00:19:39,140
+تماماً range sine هي domain للـ sine inverse والعكس
+
+227
+00:19:39,140 --> 00:19:50,190
+صحيح بتتمتع بأن هان مش زاوية هنا real number بالضبط
+
+228
+00:19:50,190 --> 00:20:01,970
+بتاخد من الـ range اللي موجود عندها الرسم
+
+229
+00:20:01,970 --> 00:20:05,790
+هتُعكس بكل تأكيد حسب الاتجاه لو تخيل كلمة الـ sin
+
+230
+00:20:05,790 --> 00:20:09,990
+مظبوط
+
+231
+00:20:11,860 --> 00:20:17,420
+عكسها تماما أو خد الرسمة و اعمل rotation بتجاه
+
+232
+00:20:17,420 --> 00:20:21,500
+اليمين مقدار 90 درجة اعمل rotation مقدار 90 درجة
+
+233
+00:20:21,500 --> 00:20:25,340
+بتكون حصلت على الرسمة الخاصة بالعنصر الموجود هنا
+
+234
+00:20:25,340 --> 00:20:31,880
+anyway الآن فهم الـ sin وفهم الـ cosine وعرفنا
+
+235
+00:20:31,880 --> 00:20:37,560
+نجيب الزوايا بشكل سريع الآن لو أنا بدي ارجع معها
+
+236
+00:20:37,560 --> 00:20:37,820
+كان
+
+237
+00:20:40,580 --> 00:20:43,980
+للرسمة هذه أطلع في الرسمتين .. انسى الخط الأحمر
+
+238
+00:20:43,980 --> 00:20:48,840
+في الرسمتين في الـ sin و الـ cosine تخيل كله خط
+
+239
+00:20:48,840 --> 00:20:53,800
+أزرق في فرق بين الـ sin و الـ cosine؟ في فرق بين ال
+
+240
+00:20:53,800 --> 00:21:00,360
+sin و الـ cosine يا شباب؟ ماهو الفرق؟ من أين بدأت
+
+241
+00:21:00,360 --> 00:21:05,180
+الزاوية؟ من أين بدأت الزاوية؟ عشان هذه كنت بكلمة
+
+242
+00:21:05,180 --> 00:21:10,820
+هذه تمام؟ بدي أعمل للـ sin إزاحة تمام؟ أو بدي أعمل
+
+243
+00:21:10,820 --> 00:21:15,820
+إزاحة لواحدة من الاثنتين بغض النظر، الآن لاحظ عشان
+
+244
+00:21:15,820 --> 00:21:21,890
+أنا أجيب القمة هذه تكون هنا تتطابق مع الـ cosine ب
+
+245
+00:21:21,890 --> 00:21:31,270
+π/2 أو بين دوسين بدي ازيح الـ cosine بـ π/
+
+246
+00:21:31,270 --> 00:21:36,190
+2 أديها أما هذا بدأ أطرح منها أو بدي ازيح على
+
+247
+00:21:36,190 --> 00:21:41,360
+الثاني لكن فعليًا الـ curve نفسه نفس الدورة الموجودة
+
+248
+00:21:41,360 --> 00:21:44,680
+عشان ايه؟ إذا بتتذكر عندما قلت لك أنك ترسم حركة
+
+249
+00:21:44,680 --> 00:21:47,920
+الميّه كل ما مطموض منك هو أنك تستخدم الـ Sin أو
+
+250
+00:21:47,920 --> 00:21:51,700
+الـ Cos أي واحدة منهم هتديك نفس النتيجة عند
+
+251
+00:21:51,700 --> 00:21:57,360
+الـ Design طيب الـ Sin
+
+252
+00:21:57,360 --> 00:22:01,080
+أو الـ Cos تبقى typical تمام؟ لكن الاختلاف عند
+
+253
+00:22:01,080 --> 00:22:05,140
+التسعين وبالتالي أنا بحاجة أن أعمل إزاحة بمقدار
+
+254
+00:22:05,140 --> 00:22:11,640
+تسعين درجة π/2 يعني sin θ تساوي
+
+255
+00:22:11,640 --> 00:22:17,740
+عفوًا cos θ تساوي sin θ زائد π/
+
+256
+00:22:17,740 --> 00:22:23,720
+2 π/2 هل الكلام صح ممكن نعمل حساب؟
+
+257
+00:22:23,720 --> 00:22:28,780
+رياضيات
+
+258
+00:22:28,780 --> 00:22:38,370
+حاضر cos الـ 30 تساوي المفروض sin 30 زائد
+
+259
+00:22:38,370 --> 00:22:42,990
+90 مصبوط
+
+260
+00:22:42,990 --> 00:22:48,790
+الـ 120 المفروض هيك
+
+261
+00:22:48,790 --> 00:22:58,250
+لو أنا افترضت الدائرة هي هي 120 صح كوز
+
+262
+00:22:58,250 --> 00:23:05,170
+الـ 30 كده الشباب جذر الـ 3 على 2 احنا
+
+263
+00:23:05,170 --> 00:23:06,670
+بنقول 30 هي 30
+
+264
+00:23:09,380 --> 00:23:15,880
+جذر الـ 3 على 2 تمام طيب sin الـ 120 وقل الـ
+
+265
+00:23:15,880 --> 00:23:23,740
+120 sin الـ 120 أيوة
+
+266
+00:23:23,740 --> 00:23:27,540
+أجيب كل واحدة لحالها أجمعهم لأ أنا فهمتك بشغلة ثانية
+
+267
+00:23:27,540 --> 00:23:33,180
+لأ في شغل أحسن المتنمة
+
+268
+00:23:33,180 --> 00:23:34,680
+بتشتغل على المتنمة
+
+269
+00:23:37,630 --> 00:23:46,410
+180 - 120 60 sin الـ 60 يا شباب حرام عليك sin
+
+270
+00:23:46,410 --> 00:23:54,730
+الـ 60 يا شباب جذر الـ 3 على 2 ومعناته
+
+271
+00:23:54,730 --> 00:24:02,070
+هدفها ساوي sin الـ 60 لأنها المتنمة، بظبط؟ وهدفها
+
+272
+00:24:02,070 --> 00:24:11,180
+ساوي جذر الـ 3 على 2 طيب الآن
+
+273
+00:24:11,180 --> 00:24:19,740
+جالي sin θ تربيع زائد cos تربيع θ يساوي
+
+274
+00:24:19,740 --> 00:24:26,460
+واحد طيب لو
+
+275
+00:24:26,460 --> 00:24:30,820
+أنا بدي أجسم على sin θ تربيع أو sin تربيع θ
+
+276
+00:24:30,820 --> 00:24:33,460
+مش قضي الـ sin تربيع لأن التربيع للـ function مش
+
+277
+00:24:33,460 --> 00:24:41,250
+للزاوية sin تربيع θ أجسم الطرفين سنعمل
+
+278
+00:24:41,250 --> 00:24:47,910
+مشترك صح sin تربيع θ بتجسم على sin تربيع θ
+
+279
+00:24:52,520 --> 00:24:58,100
+زائد ما هيها هذه sin على sin 1 زائد cos
+
+280
+00:24:58,100 --> 00:25:04,100
+تربيع على sin تربيع tan تربيع يساوي 1 على sin 
+
+281
+00:25:04,100 --> 00:25:15,760
+تربيع مقلوب الـ second تانٍ مش
+
+282
+00:25:15,760 --> 00:25:17,580
+can
+
+283
+00:25:22,060 --> 00:25:24,760
+مقلوب التان
+
+284
+00:25:35,270 --> 00:25:38,650
+الآن القسمة على الـ cosine مش على الـ sine في المعادلة
+
+285
+00:25:38,650 --> 00:25:41,790
+صح بس أنا اللي اخطأت لما تكلمت عن القسمة على الـ
+
+286
+00:25:41,790 --> 00:25:44,790
+sine اللي تحتيها هي في القسمة على الـ sine  كو تان
+
+287
+00:25:44,790 --> 00:25:50,530
+لأن الـ cosine على الـ sine مقلوب التان مقلوب التان
+
+288
+00:25:50,530 --> 00:25:57,270
+كو تان تمام؟ في المعادلة الأولى جسمنا هذه على
+
+289
+00:25:57,270 --> 00:26:05,540
+كوزين تربيع جسم المعادلة هذه على cosine تربيع sine
+
+290
+00:26:05,540 --> 00:26:10,600
+تربيع على cosine تربيع 10 cosine تربيع على cosine
+
+291
+00:26:10,600 --> 00:26:17,440
+تربيع واحد واحد على cosine تربيع second تربيع وهو
+
+292
+00:26:17,440 --> 00:26:22,160
+مقلوب الـ cosine مقلوب الـ cosine لما جسمتي على الـ
+
+293
+00:26:22,160 --> 00:26:25,240
+sine لما جسمتي على الـ sine sine تربيع على sine
+
+294
+00:26:25,240 --> 00:26:34,750
+تربيع واحد cosine تربيع على sine تربيع كو تان واحد
+
+295
+00:26:34,750 --> 00:26:40,970
+على sine تربيع كو سيكنت تسمية
+
+296
+00:26:40,970 --> 00:26:50,330
+أنتوا نسيتها يا شكايكو كو
+
+297
+00:26:50,330 --> 00:26:57,570
+سيكنت مقلوب واحد على sine سيكنت
+
+298
+00:26:57,570 --> 00:27:08,140
+واحد على كوزاين كوتن cosine على sine اللي هي واحد على
+
+299
+00:27:08,140 --> 00:27:18,500
+تانٍ مقلوب واحد على التان كمان مرة مقلوب مقلوب الـ
+
+300
+00:27:18,500 --> 00:27:27,980
+sine كو سيكنت كو سيكنت مقلوب الـ cosine سيكنت مقلوب 
+
+301
+00:27:27,980 --> 00:27:29,820
+التان كوتن
+
+302
+00:27:38,410 --> 00:27:45,930
+طيب القوانين هذه مهمة بالنسبة لنا ومُثْقٌ عنها 
+
+303
+00:27:45,930 --> 00:27:50,810
+قانونين مهمات واحد بيسموه الـ sine rule والثاني
+
+304
+00:27:50,810 --> 00:27:55,630
+بيسموه الـ cosine rule كل كلامنا السابق يا شباب كان
+
+305
+00:27:55,630 --> 00:28:02,590
+في مثلث قائم الزاوية في مثلث قائم الزاوية طيب
+
+306
+00:28:04,330 --> 00:28:08,550
+وإحنا قلنا معلومة سابقا بغض النظر شو كان المثلث 
+
+307
+00:28:08,550 --> 00:28:14,050
+مجموع الزوايا الداخلية للمثلث 180 طب المثلث هذا
+
+308
+00:28:14,050 --> 00:28:18,990
+يشفرج عن المثلث قائم الزاوية بس مافيه قائم مثلث
+
+309
+00:28:18,990 --> 00:28:22,810
+قائم الزاوية قدرت استخدم فيه فيثاغورس عشان أُحدد الـ
+
+310
+00:28:22,810 --> 00:28:27,890
+وتر وبشكل دقيق لكن ضلع الـ Sin والـ Cos هي عبارة عن
+
+311
+00:28:27,890 --> 00:28:33,390
+ريشيو بين مين ومين بين الـ Sin، بعفوًا، بين الوتر
+
+312
+00:28:33,390 --> 00:28:37,170
+وبين الضلع المقابل أو العَسَبِي للمثلث طب هذا
+
+313
+00:28:37,170 --> 00:28:41,410
+المثلث لو أنا تخيلت هذا غير قائم الزاوية، مسموع؟
+
+314
+00:28:41,410 --> 00:28:47,110
+لو أنا تخيلت إني بدي أعمله هيك أعمل
+
+315
+00:28:47,110 --> 00:28:53,080
+فعليًا مثلثين قائم الزاوية أو أسقط عمودًا على على الـ
+
+316
+00:28:53,080 --> 00:28:57,560
+C على القاعدة اللي اسمه أو على الضلع اللي اسمه C إيش
+
+317
+00:28:57,560 --> 00:29:03,680
+صار عندي لأن شباب طيب تمام هلأ بعرف أرسم شكل أنا
+
+318
+00:29:03,680 --> 00:29:11,580
+رايح على الآخر ميل بسم الله نفس الكلام طول عمره
+
+319
+00:29:11,580 --> 00:29:13,640
+الأستاذ بيقول لي في الصف أنت دائمًا لما تكتب على
+
+320
+00:29:13,640 --> 00:29:18,040
+اللوحة تنزل تشرب طيب في حد بيدب على فرصة مُهَيِّجة
+
+321
+00:29:18,040 --> 00:29:23,370
+كحسنى؟ كويس الـ A صار في عندي مثلثين قائمين ممتاز
+
+322
+00:29:23,370 --> 00:29:32,970
+خلّيني أقول إني بسميه H صح؟ طيب sine الـ B الزاوية B
+
+323
+00:29:32,970 --> 00:29:36,430
+sine
+
+324
+00:29:36,430 --> 00:29:45,930
+الـ B يساوي H المقابل على A طيب
+
+325
+00:29:45,930 --> 00:29:53,680
+sine الـ C يساوي C على A C على A
+
+326
+00:29:53,680 --> 00:30:02,840
+C على A C على A C على A C على A C على A C على A 
+
+327
+00:30:02,840 --> 00:30:03,560
+على A C على A C على A C على A C على A C على A
+
+328
+00:30:03,560 --> 00:30:03,680
+على A C على A C على A C على A C على A C على A
+
+329
+00:30:03,680 --> 00:30:03,860
+على A C على A C على A C على A C على A C على A
+
+330
+00:30:03,860 --> 00:30:04,560
+على A C على A C على A C على A C على A C على A
+
+331
+00:30:04,560 --> 00:30:04,580
+على A C على A C على A C على A C على A C على A
+
+332
+00:30:04,580 --> 00:30:08,620
+على A C على A C على A C على A C على A C على A
+
+333
+00:30:08,620 --> 00:30:18,610
+على A C على A C على A C على A C على A C على طيب
+
+334
+00:30:18,610 --> 00:30:27,410
+سيبنا من الـ C لو جينا الـ .. الـ A سيبنا من الـ C
+
+335
+00:30:27,410 --> 00:30:31,310
+شوية الـ 
+
+336
+00:30:31,310 --> 00:30:42,490
+sine الـ A H على B صحّحيك 
+
+337
+00:30:42,490 --> 00:30:46,190
+أو لأن الـ B هي الـ وتر 
+
+338
+00:30:49,090 --> 00:30:52,070
+أه صلى الله عليه وسلم على سيدنا محمد الشغل الأخير
+
+339
+00:30:52,070 --> 00:30:56,950
+علها علاقة بالـ C ما تنساش 
+
+340
+00:30:56,950 --> 00:31:00,910
+إن العمود تبعي كمان شو سوى في الـ C شباب نصفها 
+
+341
+00:31:00,910 --> 00:31:05,150
+نصفها نصفها مش نصفها بس إيش اجتازها الزاوية اللي
+
+342
+00:31:05,150 --> 00:31:10,510
+موجودة عندي هنا مظبوط طيب شجعها كويس مصالح كويس
+
+343
+00:31:10,510 --> 00:31:13,070
+الآن هي
+
+344
+00:31:22,320 --> 00:31:31,460
+A sine B يساوي H و B 
+
+345
+00:31:31,460 --> 00:31:50,060
+sine A يساوي H يعني A sine B يساوي B sine A
+
+346
+00:31:53,010 --> 00:31:59,290
+عشان أعمل الدور التبادل بين F هذه و F هذه صار عندي
+
+347
+00:31:59,290 --> 00:32:06,370
+A في sine B يساوي H و B في sine A يساوي H يعني
+
+348
+00:32:06,370 --> 00:32:07,570
+صار F هذه تساوي H
+
+349
+00:32:15,260 --> 00:32:20,060
+بتجسم على الـ sine أو بتجسم على ab أو بتجسم على الـ 
+
+350
+00:32:20,060 --> 00:32:23,380
+sine بتجسم على الـ sine بتجسم على الـ sine sine إيش؟
+
+351
+00:32:23,380 --> 00:32:33,060
+sine b بتجسم على sine b ما توا a على لحالها تساوي b 
+
+352
+00:32:33,060 --> 00:32:40,280
+في sine الـ a على sine الـ b طب ليش بتعمل الشغل هذه؟
+
+353
+00:32:40,280 --> 00:32:43,840
+بتجسم على sine a في sine الـ b 
+
+354
+00:32:46,700 --> 00:32:52,000
+بتجسم على sine الـ A في sine الـ B بتظهر في عندي هن
+
+355
+00:32:52,000 --> 00:33:03,660
+إيه؟ sine الـ A تساوي B على sine 
+
+356
+00:33:03,660 --> 00:33:08,100
+الـ B طيب نرجع للمثلث الأصم الآن
+
+357
+00:33:17,370 --> 00:33:22,410
+الزاوية إيه؟ تمام؟ أو إيه؟ الضلع المقابل للزاوية
+
+358
+00:33:22,410 --> 00:33:30,050
+يساوي .. تمام؟ 
+
+359
+00:33:30,050 --> 00:33:33,410
+الضلع المقابل على sine الزاوية، مظبوط؟ طب وهذا
+
+360
+00:33:33,410 --> 00:33:40,190
+مثلث، وهذا مثلث، مجموعة زوايا 180 درجة، ضلّ
+
+361
+00:33:40,190 --> 00:33:41,770
+في عند دولة وزاوية ومقابلة
+
+362
+00:33:51,800 --> 00:33:56,760
+أصبحت وبالتالي هذا إحنا بنسميه الـ sine rule قانون 
+
+363
+00:33:56,760 --> 00:34:06,660
+الـ sine مفاده هي إن a على sine الـ a مش هي ratio في
+
+364
+00:34:06,660 --> 00:34:11,140
+الآخر هي عبارة عن نسب وأنا حصلت على النسب وبالتالي
+
+365
+00:34:18,730 --> 00:34:28,850
+في المثلث في المثلث الغير قائم الزاوية a على sine a
+
+366
+00:34:28,850 --> 00:34:34,770
+اتدلق على sine الزاوية المقابلة تمام النسبة هذه
+
+367
+00:34:34,770 --> 00:34:40,190
+متساوية للزاوية الثلاث تبع المثلث إيش أنا بستفيد
+
+368
+00:34:40,190 --> 00:34:54,440
+منها خلينا إحنا بس هنجدش الـ .. A 60 B 40 C 80 60
+
+369
+00:34:54,440 --> 00:35:03,340
+40 80 درجة طبعًا المثال مش موجود عندك في الـ slide و
+
+370
+00:35:03,340 --> 00:35:08,600
+الـ B عندك تساوي عشرة المثال
+
+371
+00:35:08,600 --> 00:35:15,740
+مش موجود في الـ slides تمام؟ وقلت بالسؤال مالك هات
+
+372
+00:35:15,740 --> 00:35:22,310
+لي باقي بيانات المثلث أيوة كيف؟ الآن إيش عندك
+
+373
+00:35:22,310 --> 00:35:27,070
+معلوم في المثلث؟ عندك الزوايا الداخلية كلها معلومة
+
+374
+00:35:27,070 --> 00:35:32,050
+وعندك ضلع .. ضلع معلوم الزوايا الداخلية كلها 
+
+375
+00:35:32,050 --> 00:35:37,390
+معلومة وضلع معلوم الآن بيبدو منك جلّك b تساوي عشرة
+
+376
+00:35:37,390 --> 00:35:41,030
+تمام؟
+
+377
+00:35:41,030 --> 00:35:46,610
+طيب b هي مقابل لمين يا شباب؟ لـ 40 معناته
+
+378
+00:35:46,610 --> 00:35:55,600
+عشرة على sine الـ 40 بدا تساوي أجيب أنا قيمة الـ C
+
+379
+00:35:55,600 --> 00:36:04,240
+تمام؟ أو قيمة الـ A مش قضية تساوي A على sine الـ 60
+
+380
+00:36:04,240 --> 00:36:08,040
+طيب
+
+381
+00:36:08,040 --> 00:36:14,220
+وهذه نفسها تساوي عشان نكتبها كلها مرة واحدة C على 
+
+382
+00:36:14,220 --> 00:36:20,490
+sine الـ 80 مظبوط؟ طيب الآن يعني أنا فعليًا عندي
+
+383
+00:36:20,490 --> 00:36:24,350
+مجهول في المثلث بقى الـ a والـ c بدي أجيبهم بأخذها
+
+384
+00:36:24,350 --> 00:36:31,910
+واحدة واحدة هذه تساوي عشرة 
+
+385
+00:36:31,910 --> 00:36:40,110
+في sine الـ 60 على sine الـ 40 هذه قيمة الـ a
+
+386
+00:36:40,110 --> 00:36:43,690
+مظبوط؟ 
+
+387
+00:36:47,380 --> 00:36:51,740
+عند ضرب تبادل إيه إيه في sine الـ 40 بدها تساوي
+
+388
+00:36:51,740 --> 00:36:55,600
+عشرة في sine الـ 60 أنا بدي الـ a لحالها بدي أجسم
+
+389
+00:36:55,600 --> 00:37:01,240
+على sine الـ 40 معناته a بتساوي عشرة sine الـ 60 
+
+390
+00:37:01,240 --> 00:37:05,800
+في sine الـ 40 طبعًا إن هو sine الـ 40 مش إحنا مش
+
+391
+00:37:05,800 --> 00:37:09,700
+إحنا نعرف نحسبها بالليش بالإيد الموجودة مظبوط
+
+392
+00:37:12,780 --> 00:37:14,860
+إحنا نفكر في الانتحار بيانه مافيش calculator بجد 
+
+393
+00:37:14,860 --> 00:37:19,160
+بأكد لحضرتك إن الزوايا اللي تكون موجودة لديك
+
+394
+00:37:19,160 --> 00:37:23,880
+قادر إنك أنت تجيب قيمتها بدون كالك .. بغض النظر
+
+395
+00:37:23,880 --> 00:37:27,440
+الزاوية والنظر اللي حبيب لك زوايا تقدر تجيب الـ sine
+
+396
+00:37:27,440 --> 00:37:31,540
+و الـ cosine تبعيتها باعتمادك على كثرة يدك إن شاء
+
+397
+00:37:31,540 --> 00:37:34,720
+الله تعالى أعيده تاني طيب 
+
+398
+00:37:39,730 --> 00:37:43,670
+إحنا الآن بنقول في المثلث هذا قاعد بيطلب مني
+
+399
+00:37:43,670 --> 00:37:47,010
+بيقول لي هات باقي المجاهيل أو هات بيانات المثلث 
+
+400
+00:37:47,010 --> 00:37:50,930
+البيانات اللي موفر ليها بيقول لي إنه عندك أنت ثلاث
+
+401
+00:37:50,930 --> 00:37:55,050
+زوايا 60 80 40 صحيح مجموعهم 180 
+
+402
+00:37:55,050 --> 00:38:00,010
+ومية وتمانين مافيش مشكلة عندي ومديني الضلع بقيمته
+
+403
+00:38:00,010 --> 00:38:04,310
+عشرة من يبقى اللي مجهول عندي؟ أقول الضلع A وأقول 
+
+404
+00:38:04,310 --> 00:38:08,870
+الضلع C بعد ما أنا عندي الـ sine rule بقول A على 
+
+405
+00:38:08,870 --> 00:38:15,270
+sine الـ A B على sine الـ B C على sine الـ C متساويات
+
+406
+00:38:15,270 --> 00:38:21,470
+ممتازة معناته أنا بقدر أقولها عشرة على sine
+
+407
+00:38:21,470 --> 00:38:27,550
+الـ 40 اللي هي الزاوية المقابلة بيبقى يساوي A على
+
+408
+00:38:27,550 --> 00:38:28,210
+sine الـ 60
+
+409
+00:38:31,890 --> 00:38:41,770
+أنا بدي a a في sine الـ 40 بدها تساوي عشرة في sine
+
+410
+00:38:41,770 --> 00:38:47,690
+الـ 60 يعني الـ a لحالها بدي أجسم على sine الـ 40 
+
+411
+00:38:47,690 --> 00:38:57,850
+يعني الـ a بدها تساوي عشرة sine 60 على sine الـ 40 
+
+412
+00:38:57,850 --> 00:39:02,680
+وانتهت المسألة وبنفس الطريقة بدي ننبجيب الـ C
+
+413
+00:39:02,680 --> 00:39:06,220
+أعتمد الآن على الـ A على sine الـ A فاش مشكلة اللي
+
+414
+00:39:06,220 --> 00:39:10,300
+أصبحت الـ b ما عندك معروفة ولو بدك تعتمد على عشرة 
+
+415
+00:39:10,300 --> 00:39:20,000
+على sine الـ 40 بنفس الكيفية طيب .. الآن لو 
+
+416
+00:39:20,000 --> 00:39:28,320
+أداني جيه اللي فيه عندي هنا زي 60 تمام؟
+
+417
+00:39:28,320 --> 00:39:29,460
+عشان تقدر 
+
+418
+00:39:32,940 --> 00:39:37,940
+تجيب على عصر أو تقدر تكمل بيانات المثلث إيش بيلزمك
+
+419
+00:39:37,940 --> 00:39:47,620
+على الأقل؟ ضلعين وزاوية أو زاويتين وضلع على الأقل
+
+420
+00:39:47,620 --> 00:39:52,040
+لازم يكون في عندك معلوم يعني لو أنا قلت لك هي
+
+421
+00:39:52,040 --> 00:39:58,100
+الزاوية هذه ستين والضلع هذه عشرة تقدرش تسوي ولا 
+
+422
+00:39:58,100 --> 00:40:04,520
+شيء بتبدأ كمان مرات بالضلع اما ضلع او زاوية طيب
+
+423
+00:40:04,520 --> 00:40:07,860
+السؤال اللي بيطرح نفسه لو أنا جيت بديتك الزاوية
+
+424
+00:40:07,860 --> 00:40:14,860
+هنا دي بقيتلك إياها بخمسين ليش ما فاقش أبدًا  أداك تكملها
+
+425
+00:40:14,860 --> 00:40:21,060
+ما تنغبش أي زاوية أي زاويتين طبعًا زاويتين وضلع
+
+426
+00:40:21,060 --> 00:40:26,160
+بتقدر تجيب كل المطلوب أو بضلع وزاوية بتجيب كل
+
+427
+00:40:26,160 --> 00:40:26,600
+المطلوب
+
+428
+00:40:30,340 --> 00:40:33,780
+ما هو الآن إيش الدليل اللي بيديكي إياه مثلاً أداك
+
+429
+00:40:33,780 --> 00:40:41,280
+هذا اللي قال لك أن الدليل هذا طوله سبعة  صار
+
+430
+00:40:41,280 --> 00:40:48,360
+أنا أشوف إيه اللي حاصل دي سبعة على ساين الستين يساوي عشرة 
+
+431
+00:40:48,360 --> 00:40:54,900
+على ساين الـ B لأن ساين الـ B بده تساوي
+
+432
+00:40:57,850 --> 00:41:04,310
+عشرة sin 60 على سبعة فأنا بدي الـ B sin inverse
+
+433
+00:41:04,310 --> 00:41:11,610
+لعشرة مضروبة في sin 60 على سبعة بتجيب قيمة الـ B
+
+434
+00:41:11,610 --> 00:41:15,610
+جيبت قيمة الـ B بتروح تجيب قيمة الـ C وبتكمل ده ال
+
+435
+00:41:15,610 --> 00:41:18,970
+ratio اللي موجود عندك فلازم يكون في عندك معلومات
+
+436
+00:41:18,970 --> 00:41:25,070
+تقدرش تبني عليها في الحل وإلا مش هتقدر تسوي ولا شيء
+
+437
+00:41:25,070 --> 00:41:31,410
+في المثلث يعني أنت في الآخر لازم يكون في عندك 
+
+438
+00:41:31,410 --> 00:41:35,250
+معطى ومعطى قوي اللي له علاقة في الموضوع عشان
+
+439
+00:41:35,250 --> 00:41:46,090
+تقدر تبني عليه وإلا بتكون المسألة مش مسألة هادي ال
+
+440
+00:41:46,090 --> 00:41:51,030
+cosine rule لو على نفس المثلث الـ cosine rule إيش 
+
+441
+00:41:51,030 --> 00:41:57,650
+بيقولك الـ cosine rule هو عبارة عن Sin تربيع ثيتا زي
+
+442
+00:41:57,650 --> 00:42:00,330
+الـ cosine تربيع ثيتا يساوي اللي احنا شوفناه قبل
+
+443
+00:42:00,330 --> 00:42:10,630
+شوية، مضبوط؟ طيب، منه قال
+
+444
+00:42:10,630 --> 00:42:19,930
+لي لو كان المثلث هذا قائم الزاوية A
+
+445
+00:42:19,930 --> 00:42:22,190
+B C
+
+446
+00:42:24,260 --> 00:42:29,520
+A تربيع إيش تساوي يا شباب A
+
+447
+00:42:29,520 --> 00:42:36,220
+تربيع تساوي B تربيع زائد C تربيع مضبوط؟ ناقص اتنين 
+
+448
+00:42:36,220 --> 00:42:44,920
+BC في كوزين A  على اللي تضل المقابل الزاوية هذه 
+
+449
+00:42:44,920 --> 00:42:50,180
+A والزاوية هذه B والزاوية هذه C
+
+450
+00:42:52,740 --> 00:42:56,460
+الـ A بيكون مقابلة الـ A والـ C مقابلة الـ C والـ
+
+451
+00:42:56,460 --> 00:43:02,100
+B يكون مقابلة الـ B نفس الكلام طيب هذا القانون A 
+
+452
+00:43:02,100 --> 00:43:10,140
+تربيع تساوي B تربيع زائد C تربيع ناقص اتنين BC في 
+
+453
+00:43:10,140 --> 00:43:15,600
+كوزين الـ A كوزين الـ A كده؟ صفر كوزين التسعين
+
+454
+00:43:15,600 --> 00:43:17,780
+كوزين التسعين صفر
+
+455
+00:43:22,480 --> 00:43:27,240
+بس هذا المثلث قائم الزاوية وهذا المثلث غير قائم
+
+456
+00:43:27,240 --> 00:43:31,740
+الزاوية يعني الآن لما بدي أقولك بدي A تربيع هنا 
+
+457
+00:43:31,740 --> 00:43:41,180
+هذا أهم A تربيعه يساوي B تربيع زائد C تربيع ناقص 
+
+458
+00:43:41,180 --> 00:43:47,340
+اتنين A أو عفواً اتنين BC في كوزين الزاوية 
+
+459
+00:43:47,340 --> 00:43:51,870
+المقابلة ونفس الكلام مع كل الأضلاع اللي موجودة 
+
+460
+00:43:51,870 --> 00:43:54,330
+عندها يعني الآن
+
+461
+00:43:58,610 --> 00:44:01,650
+بيفرق كثير القانون عن القانون السابق طب استخدم 
+
+462
+00:44:01,650 --> 00:44:03,890
+القانون السابق ولا استخدم هذا يعني عشان أجيب ..
+
+463
+00:44:03,890 --> 00:44:09,450
+اللي بدك إياه هم .. هم بيعتمد على .. تجيب الأضلاع
+
+464
+00:44:09,450 --> 00:44:13,750
+أكثر من بيعتمد على ratio مظهر؟ بيعتمد على الأضلاع
+
+465
+00:44:13,750 --> 00:44:16,830
+عشان تجيب قياس الزوايا أو العكس أكثر من بيعتمد على
+
+466
+00:44:16,830 --> 00:44:21,450
+الـ ratio ما تنساش برضه إنه هادي ratio لكن كان غير 
+
+467
+00:44:21,450 --> 00:44:28,020
+اتمد على المسبر جالك A على ساين الـ A بيبقى تساوي
+
+468
+00:44:28,020 --> 00:44:32,920
+الـ B على الـ B يساوي الـ C على الـ C يساوي الـ C 
+
+469
+00:44:32,920 --> 00:44:34,720
+على الـ C يساوي الـ C على الـ C يساوي الـ C على
+
+470
+00:44:34,720 --> 00:44:36,640
+الـ C يساوي الـ C على الـ C يساوي الـ C على الـ C
+
+471
+00:44:36,640 --> 00:44:37,020
+يساوي الـ C على الـ C يساوي الـ C على الـ C يساوي
+
+472
+00:44:37,020 --> 00:44:39,460
+الـ C على الـ C يساوي الـ C على الـ C يساوي الـ C
+
+473
+00:44:39,460 --> 00:44:41,200
+على الـ C يساوي الـ C على الـ C يساوي الـ C على
+
+474
+00:44:41,200 --> 00:44:43,280
+الـ C يساوي الـ C على الـ C يساوي الـ C على الـ C
+
+475
+00:44:43,280 --> 00:44:45,700
+يساوي الـ C على الـ C يساوي الـ C على الـ C يساوي
+
+476
+00:44:45,700 --> 00:44:48,680
+الـ C على الـ C يساوي الـ C
+
+477
+00:44:51,530 --> 00:44:55,990
+الـ A بدأ يتساوي B في Cos C لاحظ الزاوية اللي
+
+478
+00:44:55,990 --> 00:44:59,270
+اعتمد عليها في الأول يا شباب والدلع المقابل 
+
+479
+00:44:59,270 --> 00:45:05,210
+تبعتها يعني الثلاث قوانين الأولى عشان تتذكرهم ثلاث
+
+480
+00:45:05,210 --> 00:45:10,510
+قوانين الأولى عشان تتذكرهم بسهولة قال لك مربع الضلع
+
+481
+00:45:10,510 --> 00:45:17,510
+يساوي مربعات الأضلاع المختلفة الباقية ناقص ضرب 
+
+482
+00:45:17,510 --> 00:45:21,270
+المربعين أو ضرب المربعين المختلفين في الـcos 
+
+483
+00:45:21,270 --> 00:45:28,130
+الزاوية المقابلة لكن هنا يحجب الـA بدلالة الزاوية
+
+484
+00:45:28,130 --> 00:45:33,570
+الثانية اللي هي اليمين B وC بيستخدم الـA قال لك
+
+485
+00:45:33,570 --> 00:45:37,510
+الـA بيتساوي B في كوزين C زي كوزين أو C في كوزين 
+
+486
+00:45:37,510 --> 00:45:45,880
+B يلاحظ عكس جالك الـ B مع كوزين الـ C الزاوية 
+
+487
+00:45:45,880 --> 00:45:52,980
+المجاورة وجالك الـ C مع كوزين الزاوية المجاورة 
+
+488
+00:45:52,980 --> 00:45:59,940
+وبالتالي A تساوي B كوزين C زائد C في كوزين الـ B
+
+489
+00:45:59,940 --> 00:46:02,280
+وهكذا مع باقي الأضلاع 
+
+490
+00:46:05,370 --> 00:46:09,230
+حسب طبيعة المعطيات اللي موجودة لك يعني سؤال 
+
+491
+00:46:09,230 --> 00:46:15,110
+الموضوع هذا واضح جدا هو اوجد المجاهيل اللي في 
+
+492
+00:46:15,110 --> 00:46:19,170
+المثلث اوجد المجاهيل المجاهيل اللي في المثلث
+
+493
+00:46:19,170 --> 00:46:26,550
+استخدم الساين ولا الكوزين انت انظر للمعطى اللي عندك
+
+494
+00:46:26,550 --> 00:46:31,790
+هو اللي بساعدك بشكل أكثر إيش تستخدم وتمشي في عند 
+
+495
+00:46:31,790 --> 00:46:34,270
+ال compound angle
+
+496
+00:46:35,610 --> 00:46:41,870
+إيش ال compound angle؟ يعني الزاوية المركبة طيب
+
+497
+00:46:41,870 --> 00:46:46,810
+هلقيت لو أنا جيت سألتك قلت لك ساين التسعين إيش 
+
+498
+00:46:46,810 --> 00:46:53,270
+بتساوي يا شباب؟ ساين التسعين تساوي واحد طيب طب مش هي
+
+499
+00:46:53,270 --> 00:46:59,510
+نفسها عبارة عن ساين الثلاثين زائد ساين الستين؟ مش
+
+500
+00:46:59,510 --> 00:47:04,530
+هتديك نفسها؟ ساين الثلاثين زائد ستين؟ مضبوط لكن لو 
+
+501
+00:47:04,530 --> 00:47:11,650
+أنا بالوضع التقليدي الخالص ساين الثلاثين نص وساين 
+
+502
+00:47:11,650 --> 00:47:20,190
+الستين بجبعهم مش واحد اللي بيحكم ال addition وال 
+
+503
+00:47:20,190 --> 00:47:23,910
+subtraction في موضوع الزوايا القوانين اللي موجودة
+
+504
+00:47:23,910 --> 00:47:32,600
+هنا قوانين ال compound angle ساين A زائد B تساوي ساين 
+
+505
+00:47:32,600 --> 00:47:46,280
+A في كوزين B زائد كوزين A في ساين B كذلك ساين A ناقص B
+
+506
+00:47:46,280 --> 00:47:55,280
+تساوي ساين A كوزين B ناقص كوزين A في ساين B انتبه
+
+507
+00:47:55,280 --> 00:48:02,690
+للإشارة نفسها لكن تطلع في الـ Cos كوزين A زائد B 
+
+508
+00:48:02,690 --> 00:48:13,990
+تساوي كوزين A كوزين B ناقص ساين A ساين B كوزين 
+
+509
+00:48:13,990 --> 00:48:22,680
+A ناقص B تساوي كوزين A كوزين B زائد ساين A خلّيني
+
+510
+00:48:22,680 --> 00:48:25,160
+أطبقها على مثال واحد فقط على التسعين درجة مع 
+
+511
+00:48:25,160 --> 00:48:28,920
+الثلاثين هدول اللي احنا عارفينهم بسهولة نحسب قيمهم
+
+512
+00:48:28,920 --> 00:48:36,400
+بشكل سريع الآن
+
+513
+00:48:36,400 --> 00:48:45,940
+بدي أطبق ساين ثلاثين زائد ستين إيش يساوي يساوي
+
+514
+00:48:45,940 --> 00:48:49,320
+ساين ثلاثين
+
+515
+00:48:51,250 --> 00:49:01,110
+ستين زائد كوزين الثلاثين أيوة في ساين ستين ساين 
+
+516
+00:49:01,110 --> 00:49:06,870
+الثلاثين نص مضروبة فيه كوزين الثلاثين كوزين 
+
+517
+00:49:06,870 --> 00:49:18,410
+الثلاثين جذر ثلاثة على اثنين زائد كوزين الثلاثين ايه الثلاثين جذر 
+
+518
+00:49:18,410 --> 00:49:27,180
+الثلاثة على اثنين مضروبة فيه ساين الستين جذر
+
+519
+00:49:27,180 --> 00:49:33,780
+الثلاثة على اثنين تساوي واحد على أربعة زائد ثلاثة
+
+520
+00:49:33,780 --> 00:49:43,000
+على أربعة تساوي واحد، مضبوط؟ بنجيب الشباب البسط
+
+521
+00:49:43,000 --> 00:49:47,880
+بقى البسط والمقام على المقام عند الضرب جذر الثلاث
+
+522
+00:49:47,880 --> 00:49:53,620
+في جذر الثلاث ثلاثة واحد في واحد اثنين في اثنين
+
+523
+00:49:53,620 --> 00:49:59,120
+أربعة ما واحد على أربعة زائد ثلاثة على أربعة وربع 
+
+524
+00:49:59,120 --> 00:50:03,780
+ثلاثة أربعة واحد تعين جربها مع ال cosine بس عند
+
+525
+00:50:03,780 --> 00:50:08,020
+الطرح ونستخدمها تبقى تسعين ناقص الثلاثين على سبيل
+
+526
+00:50:08,020 --> 00:50:14,880
+المثال نكتب تحتيها مباشرة ما فيش مشكلة الآن كوزين 
+
+527
+00:50:17,160 --> 00:50:25,800
+ثلاثين زائد ستين تساوي
+
+528
+00:50:25,800 --> 00:50:36,140
+كوزين ثلاثين كوزين ستين ناقص ساين الثلاثين في
+
+529
+00:50:36,140 --> 00:50:43,020
+ساين الستين مضبوط؟ حسب القانون اقول لك انتبه
+
+530
+00:50:43,020 --> 00:50:45,320
+للإشارة
+
+531
+00:50:48,960 --> 00:50:57,620
+طيب تساوي كوزين الثلاثين يا شباب جذر الثلاث جذر
+
+532
+00:50:57,620 --> 00:51:04,740
+الثلاث على اثنين كوزين الستين في نص ناقص ساين 
+
+533
+00:51:04,740 --> 00:51:09,220
+الثلاثين نص تساوي
+
+534
+00:51:13,000 --> 00:51:17,860
+جذر الثلاث على أربعة ناقص جذر الثلاث على أربعة
+
+535
+00:51:17,860 --> 00:51:27,340
+تساوي اللي هي تساوي كوزين التسعين مضبوط
+
+536
+00:51:27,340 --> 00:51:30,520
+في 
+
+537
+00:51:30,520 --> 00:51:36,540
+بعض الناس على الآخر الأمور تمام ولا قاعدين تهجلش
+
+538
+00:51:36,540 --> 00:51:43,490
+تمام إن شاء الله ما هي نفس الكلام الآن إيش الـ 10؟
+
+539
+00:51:43,490 --> 00:51:47,930
+إيش الـ 10؟ هي عبارة عن الساين على الكوزين يعني 
+
+540
+00:51:47,930 --> 00:51:55,090
+بدك تأخد القانون اللي فوق على اللي تحت ولا حاجة 
+
+541
+00:51:55,090 --> 00:52:00,810
+هتختلف، هيا نعم؟ بس طبيعي بيبقى يختصوا عشان يقولك
+
+542
+00:52:00,810 --> 00:52:06,090
+هاديها في الآخر بس في فعليًا كمان مرة ما تنساش الآن 
+
+543
+00:52:06,090 --> 00:52:15,470
+إذن الله بسأل الشباب ساين عفواً تان X زائد Y طب مش 
+
+544
+00:52:15,470 --> 00:52:24,370
+هذه تساوي ساين X زائد Y على كوزين X زائد Y وهذه
+
+545
+00:52:24,370 --> 00:52:27,970
+تساوي ساين 
+
+546
+00:52:27,970 --> 00:52:43,200
+X كوزين Y زائد كوزين X ساين Y كوزين X كوزين Y ناقص ساين X 
+
+547
+00:52:43,200 --> 00:52:49,820
+ساين Y خلاص
+
+548
+00:52:49,820 --> 00:52:56,100
+حلت المثال كيف تتصرف الشكل هذا بكتب إيش في مجلة 
+
+549
+00:52:56,100 --> 00:53:01,340
+أخوك عامل مشترك يا صاحبي لجل عامل مشترك لجل عامل 
+
+550
+00:53:01,340 --> 00:53:04,520
+مشترك في مجلة أخوك عامل مشترك في البسط في المقام 
+
+551
+00:53:04,520 --> 00:53:12,000
+لا ما فيش حرارة عليك يا رجل طيب، الآن كذلك هدول 
+
+552
+00:53:12,000 --> 00:53:17,000
+خصائص عملية الجمع والطرح مع الزوايا خصائص عملية 
+
+553
+00:53:17,000 --> 00:53:21,440
+الجمع والطرح مع الزوايا طب، شو اللي بقى الدرب؟
+
+554
+00:53:21,440 --> 00:53:26,060
+نفس الكلام لما
+
+555
+00:53:26,060 --> 00:53:34,320
+أنا باجي بقول ساين 2θ يعني ضعف الزاوية يساوي اثنين 
+
+556
+00:53:34,320 --> 00:53:38,120
+في ساين ثيتا كوزين ثيتا تعال نجربها على سبيل
+
+557
+00:53:38,120 --> 00:53:45,940
+المثال ساين اثنين في ثلاثين مش اثنين ثيتا هذا تساوي 
+
+558
+00:53:45,940 --> 00:53:56,540
+اثنين في ساين الثلاثين كوزين الثلاثين تساوي اثنين
+
+559
+00:53:56,540 --> 00:54:08,670
+في نص يبقى جذر الثلاث على اثنين مضبوط تساوي 
+
+560
+00:54:08,670 --> 00:54:13,610
+جذر الثلاث على اثنين اللي هي تساوي ساين الستين 
+
+561
+00:54:13,610 --> 00:54:23,270
+طيب القوانين اللي هي شباب بدها حفظ، حفظها كلها جدر
+
+562
+00:54:23,270 --> 00:54:29,320
+مابتقدر لأ نصها بقول اه موجودة في الـ slides على جدر
+
+563
+00:54:29,320 --> 00:54:32,880
+و أنت بدك علامات بدك تحفظ أو تحاول تحفظ من القوانين
+
+564
+00:54:32,880 --> 00:54:36,320
+هاي سابقا
+
+565
+00:54:36,320 --> 00:54:40,660
+أو العام الماضي .. العام الماضي روحت جيبت شيء حطيت
+
+566
+00:54:40,660 --> 00:54:45,040
+فيها كل القوانين .. كل القوانين قولتله استخدم
+
+567
+00:54:45,040 --> 00:54:49,220
+القوانين اللي بدك هيها فنهيتش بس طبعا بدون
+
+568
+00:54:49,220 --> 00:54:55,600
+العناوين و بدون الترتيب، هذا القوانين جايش المهم من
+
+569
+00:54:55,600 --> 00:54:58,820
+الفكرة إن هي موجودة عندك، إذا أنت والله عارف إيش
+
+570
+00:54:58,820 --> 00:55:04,040
+بدها ماتها يرجعك مش عارف راحت عليك، طيب الآن آخر
+
+571
+00:55:04,040 --> 00:55:10,940
+slide في الـ chapter الها علاقة بمحيط المثلث مساحة
+
+572
+00:55:10,940 --> 00:55:15,660
+المثلث كام يا شباب؟ مساحة المثلث نصف القاعدة
+
+573
+00:55:15,660 --> 00:55:23,160
+بالارتفاع، محيط المثلث مجموع أضلاعه واحد تمام؟ طبيع يعني
+
+574
+00:55:23,160 --> 00:55:27,700
+لو أنا دي اتسألت كان المثلث أضلاعه أو A, B, C
+
+575
+00:55:27,700 --> 00:55:36,260
+محيط المثلث الـ B نيتر تساوي A زائد B زائد C
+
+576
+00:55:36,260 --> 00:55:41,120
+طيب
+
+577
+00:55:41,120 --> 00:55:47,940
+الآن عند
+
+578
+00:55:47,940 --> 00:55:48,360
+الـ S
+
+579
+00:55:51,320 --> 00:55:57,100
+بتتساوي نص المحيط، الـ S بتتساوي نص المحيط ولا لأ؟
+
+580
+00:55:57,100 --> 00:56:02,940
+حسب الحسبة هاي احنا قلنا محيط المثلث A زائد B زائد
+
+581
+00:56:02,940 --> 00:56:07,640
+Z لما أنا بدرمه كله في نص محتاج أتكلم عن نص محيط
+
+582
+00:56:07,640 --> 00:56:16,100
+المثلث، هذه القوانين شايفهم اعتمدت على نص المحيط
+
+583
+00:56:21,060 --> 00:56:32,200
+الفكرة فيها sign a على 2 تساوي الجذر التربيعي لـ S
+
+584
+00:56:32,200 --> 00:56:41,120
+ناقص B مضروبة في S ناقص C على D ضرب C كله مش تتم
+
+585
+00:56:41,120 --> 00:56:46,780
+القانون اللي عامل في ظهر قبل شوية معانا بس الآن
+
+586
+00:56:46,780 --> 00:56:50,580
+الـ S هي عبارة عن نص المحيط، هو حاول يوجد علاقة ما
+
+587
+00:56:50,580 --> 00:56:55,200
+بين الأطلاع و الزاوية و نص المحيط لكن ماتنساش إن
+
+588
+00:56:55,200 --> 00:57:00,620
+هو فعليا كمان بتتكلم على نص الزاوية، بطل يتكلم على
+
+589
+00:57:00,620 --> 00:57:05,900
+الزاوية كلها، بصبت؟ صار بتتكلم على نص الزاوية لأنه
+
+590
+00:57:05,900 --> 00:57:07,320
+بدأ يتكلم على نص المحيط
+
+591
+00:57:10,360 --> 00:57:12,880
+خلاص، في حد عنده أي سؤال، وعطي كلها للشباب
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/_QFs8zUHmrY_raw.json b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/_QFs8zUHmrY_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..b75f6386993116ca4f9208931b0f60ffc2b27489
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/_QFs8zUHmrY_raw.json
@@ -0,0 +1 @@
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"probability": 0.81591796875}, {"start": 1645.64, "end": 1646.92, "word": " سيكنت", "probability": 0.913330078125}, {"start": 1646.92, "end": 1647.98, "word": " مقلوب", "probability": 0.9710693359375}, {"start": 1647.98, "end": 1648.56, "word": " التان", "probability": 0.962646484375}, {"start": 1648.56, "end": 1649.82, "word": " كوتن", "probability": 0.9523111979166666}], "temperature": 1.0}, {"id": 63, "seek": 168259, "start": 1658.41, "end": 1682.59, "text": "طيب القوانين هذه مهمة بالنسبة لنا ومثق عنها قانونين مهمات واحد بيسموه ال sign rule والثاني بيسموه ال cosine rule كل كلامنا السابق يا شباب كان في مثلث قائم الزاوية في مثلث قائم الزاوية طيب", "tokens": [9566, 1829, 3555, 25062, 2407, 7649, 9957, 29538, 3714, 16095, 3660, 20666, 1863, 35457, 3660, 5296, 8315, 4032, 2304, 12984, 4587, 18871, 11296, 12174, 7649, 11536, 9957, 3714, 16095, 9307, 36764, 24401, 4724, 1829, 38251, 2407, 3224, 2423, 1465, 4978, 16070, 12984, 7649, 1829, 4724, 1829, 38251, 2407, 3224, 2423, 23565, 4978, 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بيطلب مني بيقولي هات باقي المجاهيل او هات بيانات المثلث البيانات اللي موفرليها بيقوللي انه عندك انت تلت زوايا ستين تمانين اربعين صحيح مجموحهم يه عشرين امية و تمانين مافيش مشكلة عندي ومدين الدلع بقيمته عشرة", "tokens": [10721, 5016, 8315, 16247, 1863, 44945, 39648, 8978, 9673, 12984, 1211, 12984, 23758, 12174, 995, 22488, 4724, 1829, 9566, 46152, 9154, 1829, 4724, 1829, 39648, 1829, 8032, 9307, 4724, 995, 38436, 9673, 7435, 40294, 26895, 1975, 2407, 8032, 9307, 4724, 1829, 7649, 9307, 9673, 12984, 1211, 12984, 2423, 21292, 7649, 9307, 13672, 1829, 3714, 38688, 2288, 20292, 11296, 4724, 1829, 39648, 20292, 16472, 3224, 43242, 4117, 16472, 2655, 6055, 1211, 2655, 30767, 14407, 25528, 8608, 2655, 9957, 46811, 7649, 9957, 1975, 25513, 3615, 9957, 20328, 5016, 1829, 5016, 3714, 7435, 2304, 2407, 5016, 16095, 7251, 3224, 6225, 46309, 9957, 1975, 2304, 10632, 4032, 46811, 7649, 9957, 19446, 41185, 8592, 37893, 28820, 3660, 18871, 16254, 4032, 2304, 3215, 9957, 32748, 1211, 3615, 4724, 38436, 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"end": 3356.82, "word": " لا", "probability": 0.7548828125}, {"start": 3356.82, "end": 3357.1, "word": " لأ", "probability": 0.79833984375}, {"start": 3357.1, "end": 3358.38, "word": " حسب", "probability": 0.889404296875}, {"start": 3358.38, "end": 3358.76, "word": " الحسبة", "probability": 0.9513346354166666}, {"start": 3358.76, "end": 3358.98, "word": " هاي", "probability": 0.594482421875}, {"start": 3358.98, "end": 3359.44, "word": " احنا", "probability": 0.9078776041666666}, {"start": 3359.44, "end": 3359.68, "word": " قلنا", "probability": 0.7664388020833334}, {"start": 3359.68, "end": 3360.24, "word": " محيط", "probability": 0.80804443359375}, {"start": 3360.24, "end": 3360.9, "word": " المثلث", "probability": 0.8299560546875}, {"start": 3360.9, "end": 3362.18, "word": " A", "probability": 0.5888671875}, {"start": 3362.18, "end": 3362.52, "word": " زائد", "probability": 0.5342203776041666}, {"start": 3362.52, "end": 3362.68, "word": " B", "probability": 0.94921875}, {"start": 3362.68, "end": 3362.94, "word": " زائد", "probability": 0.943359375}, {"start": 3362.94, "end": 3363.22, "word": " Z", "probability": 0.787109375}, {"start": 3363.22, "end": 3364.22, "word": " لما", "probability": 0.929931640625}, {"start": 3364.22, "end": 3364.38, "word": " انا", "probability": 0.722900390625}, {"start": 3364.38, "end": 3364.72, "word": " بدرمه", "probability": 0.700927734375}, {"start": 3364.72, "end": 3364.94, "word": " كله", "probability": 0.97314453125}, {"start": 3364.94, "end": 3365.02, "word": " في", "probability": 0.6259765625}, {"start": 3365.02, "end": 3365.4, "word": " نص", "probability": 0.98486328125}, {"start": 3365.4, "end": 3366.7, "word": " محتاج", "probability": 0.22713216145833334}, {"start": 3366.7, "end": 3366.98, "word": " اتكلم", "probability": 0.8394775390625}, {"start": 3366.98, "end": 3367.16, "word": " عن", "probability": 0.72705078125}, {"start": 3367.16, "end": 3367.38, "word": " نص", "probability": 0.9912109375}, {"start": 3367.38, "end": 3367.64, "word": " محيط", "probability": 0.9742431640625}, {"start": 3367.64, "end": 3368.2, "word": " المثلث", "probability": 0.9752197265625}, {"start": 3368.2, "end": 3369.06, "word": " هذه", "probability": 0.708984375}, {"start": 3369.06, "end": 3370.12, "word": " القوانين", "probability": 0.993408203125}, {"start": 3370.12, "end": 3371.38, "word": " شايفهم", "probability": 0.8408203125}, {"start": 3371.38, "end": 3372.72, "word": " اعتمدت", "probability": 0.93056640625}, {"start": 3372.72, "end": 3373.22, "word": " على", "probability": 0.8251953125}, {"start": 3373.22, "end": 3375.56, "word": " نص", "probability": 0.9873046875}, {"start": 3375.56, "end": 3376.1, "word": " المحيط", "probability": 0.9967041015625}], "temperature": 1.0}, {"id": 125, "seek": 339770, "start": 3381.06, "end": 3397.7, "text": "الفكرة فيها sign a على 2 تساوي الجذر التربيعي ل S ناقص B مضروبة في S ناقص C على D ضرب C", "tokens": [6027, 5172, 4117, 25720, 8978, 11296, 1465, 257, 15844, 568, 6055, 3794, 995, 45865, 25724, 8848, 2288, 16712, 2288, 21292, 3615, 1829, 5296, 318, 8717, 995, 4587, 9381, 363, 3714, 11242, 32887, 49401, 8978, 318, 8717, 995, 4587, 9381, 383, 15844, 413, 48812, 25513, 383], "avg_logprob": -0.19599184069944464, "compression_ratio": 1.2260869565217392, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 3381.06, "end": 3382.0, "word": "الفكرة", "probability": 0.7783203125}, {"start": 3382.0, "end": 3382.46, "word": " فيها", "probability": 0.948974609375}, {"start": 3382.46, "end": 3385.1, "word": " sign", "probability": 0.196044921875}, {"start": 3385.1, "end": 3386.62, "word": " a", "probability": 0.67138671875}, {"start": 3386.62, "end": 3386.84, "word": " على", "probability": 0.443603515625}, {"start": 3386.84, "end": 3387.22, "word": " 2", "probability": 0.75439453125}, {"start": 3387.22, "end": 3388.72, "word": " تساوي", "probability": 0.8621826171875}, {"start": 3388.72, "end": 3389.78, "word": " الجذر", "probability": 0.9446614583333334}, {"start": 3389.78, "end": 3390.68, "word": " التربيعي", "probability": 0.9025390625}, {"start": 3390.68, "end": 3391.82, "word": " ل", "probability": 0.92431640625}, {"start": 3391.82, "end": 3392.2, "word": " S", "probability": 0.187255859375}, {"start": 3392.2, "end": 3392.68, "word": " ناقص", "probability": 0.92578125}, {"start": 3392.68, "end": 3393.0, "word": " B", "probability": 0.64306640625}, {"start": 3393.0, "end": 3393.96, "word": " مضروبة", "probability": 0.964111328125}, {"start": 3393.96, "end": 3394.14, "word": " في", "probability": 0.91650390625}, {"start": 3394.14, "end": 3394.46, "word": " S", "probability": 0.85107421875}, {"start": 3394.46, "end": 3394.86, "word": " ناقص", "probability": 0.98974609375}, {"start": 3394.86, "end": 3395.22, "word": " C", "probability": 0.953125}, {"start": 3395.22, "end": 3396.3, "word": " على", "probability": 0.79150390625}, {"start": 3396.3, "end": 3397.12, "word": " D", "probability": 0.69580078125}, {"start": 3397.12, "end": 3397.38, "word": " ضرب", "probability": 0.951171875}, {"start": 3397.38, "end": 3397.7, "word": " C", "probability": 0.48779296875}], "temperature": 1.0}, {"id": 126, "seek": 342732, "start": 3400.26, "end": 3427.32, "text": "كله مش تتم القانون اللي عامل في ظهر قبل شوية معانا بس الان الاس هي عبارة عن نص المحيط هو حاول يوجد علاقة ما بين الأطلاع و الزاوية و نص المحيط لكن ماتنساش ان هو فعليا كمان بتتكلم على نص الزاوية بطل يتكلم على الزاوية كلها، بصبت؟ صار بتتكلم على نص الزاوية لأنه بدأ يتكلم على نص المحيط", "tokens": [28820, 3224, 37893, 6055, 39237, 25062, 7649, 11536, 13672, 1829, 6225, 10943, 1211, 8978, 1357, 116, 3224, 2288, 12174, 36150, 13412, 2407, 10632, 20449, 7649, 995, 4724, 3794, 2423, 7649, 2423, 32277, 39896, 6225, 3555, 9640, 3660, 18871, 8717, 9381, 9673, 5016, 1829, 9566, 31439, 11331, 995, 12610, 7251, 29245, 3215, 11203, 995, 28671, 19446, 49374, 16247, 9566, 15040, 3615, 4032, 6024, 110, 995, 2407, 10632, 4032, 8717, 9381, 9673, 5016, 1829, 9566, 44381, 3714, 9307, 1863, 3794, 33599, 16472, 31439, 6156, 3615, 20292, 995, 9122, 2304, 7649, 39894, 2655, 4117, 19528, 15844, 8717, 9381, 6024, 110, 995, 2407, 10632, 4724, 9566, 1211, 7251, 2655, 4117, 19528, 15844, 6024, 110, 995, 2407, 10632, 28242, 11296, 12399, 4724, 9381, 3555, 2655, 22807, 20328, 9640, 39894, 2655, 4117, 19528, 15844, 8717, 9381, 6024, 110, 995, 2407, 10632, 5296, 33456, 3224, 47525, 10721, 7251, 2655, 4117, 19528, 15844, 8717, 9381, 9673, 5016, 1829, 9566], "avg_logprob": -0.22759045768333108, "compression_ratio": 2.2645739910313902, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 3400.26, "end": 3400.74, "word": "كله", "probability": 0.3753662109375}, {"start": 3400.74, "end": 3400.88, "word": " مش", "probability": 0.95849609375}, {"start": 3400.88, "end": 3401.12, "word": " تتم", "probability": 0.608642578125}, {"start": 3401.12, "end": 3401.68, "word": " القانون", "probability": 0.9471028645833334}, {"start": 3401.68, "end": 3402.38, "word": " اللي", "probability": 0.4781494140625}, {"start": 3402.38, "end": 3402.7, "word": " عامل", "probability": 0.6422526041666666}, {"start": 3402.7, "end": 3402.94, "word": " في", "probability": 0.293212890625}, {"start": 3402.94, "end": 3403.4, "word": " ظهر", "probability": 0.73553466796875}, {"start": 3403.4, "end": 3403.64, "word": " قبل", "probability": 0.750732421875}, {"start": 3403.64, "end": 3403.98, "word": " شوية", "probability": 0.9187825520833334}, {"start": 3403.98, "end": 3404.44, "word": " معانا", "probability": 0.8157552083333334}, {"start": 3404.44, "end": 3406.24, "word": " بس", "probability": 0.65283203125}, {"start": 3406.24, "end": 3406.78, "word": " الان", "probability": 0.6407470703125}, {"start": 3406.78, "end": 3407.2, "word": " الاس", "probability": 0.6279296875}, {"start": 3407.2, "end": 3407.38, "word": " هي", "probability": 0.427734375}, {"start": 3407.38, "end": 3407.78, "word": " عبارة", "probability": 0.9853515625}, {"start": 3407.78, "end": 3407.96, "word": " عن", "probability": 0.9951171875}, {"start": 3407.96, "end": 3408.22, "word": " نص", "probability": 0.943115234375}, {"start": 3408.22, "end": 3408.74, "word": " المحيط", "probability": 0.9923095703125}, {"start": 3408.74, "end": 3409.24, "word": " هو", "probability": 0.8271484375}, {"start": 3409.24, "end": 3409.62, "word": " حاول", "probability": 0.9967447916666666}, {"start": 3409.62, "end": 3410.04, "word": " يوجد", "probability": 0.8811848958333334}, {"start": 3410.04, "end": 3410.42, "word": " علاقة", "probability": 0.95361328125}, {"start": 3410.42, "end": 3410.58, "word": " ما", "probability": 0.859375}, {"start": 3410.58, "end": 3410.8, "word": " بين", "probability": 0.9873046875}, {"start": 3410.8, "end": 3411.4, "word": " الأطلاع", "probability": 0.9088134765625}, {"start": 3411.4, "end": 3411.54, "word": " و", "probability": 0.2998046875}, {"start": 3411.54, "end": 3412.12, "word": " الزاوية", "probability": 0.8646484375}, {"start": 3412.12, "end": 3412.62, "word": " و", "probability": 0.9892578125}, {"start": 3412.62, "end": 3412.88, "word": " نص", "probability": 0.97607421875}, {"start": 3412.88, "end": 3413.38, "word": " المحيط", "probability": 0.9962158203125}, {"start": 3413.38, "end": 3413.9, "word": " لكن", "probability": 0.84228515625}, {"start": 3413.9, "end": 3414.6, "word": " ماتنساش", "probability": 0.890234375}, {"start": 3414.6, "end": 3415.2, "word": " ان", "probability": 0.6162109375}, {"start": 3415.2, "end": 3415.36, "word": " هو", "probability": 0.89111328125}, {"start": 3415.36, "end": 3415.84, "word": " فعليا", "probability": 0.8853759765625}, {"start": 3415.84, "end": 3416.16, "word": " كمان", "probability": 0.7303873697916666}, {"start": 3416.16, "end": 3416.84, "word": " بتتكلم", "probability": 0.7503662109375}, {"start": 3416.84, "end": 3417.18, "word": " على", "probability": 0.70556640625}, {"start": 3417.18, "end": 3419.24, "word": " نص", "probability": 0.96630859375}, {"start": 3419.24, "end": 3419.78, "word": " الزاوية", "probability": 0.97783203125}, {"start": 3419.78, "end": 3420.1, "word": " بطل", "probability": 0.7854817708333334}, {"start": 3420.1, "end": 3420.44, "word": " يتكلم", "probability": 0.9906005859375}, {"start": 3420.44, "end": 3420.62, "word": " على", "probability": 0.83203125}, {"start": 3420.62, "end": 3420.94, "word": " الزاوية", "probability": 0.937890625}, {"start": 3420.94, "end": 3422.02, "word": " كلها،", "probability": 0.73681640625}, {"start": 3422.02, "end": 3422.78, "word": " بصبت؟", "probability": 0.562451171875}, {"start": 3422.78, "end": 3423.04, "word": " صار", "probability": 0.651123046875}, {"start": 3423.04, "end": 3423.4, "word": " بتتكلم", "probability": 0.8468017578125}, {"start": 3423.4, "end": 3423.6, "word": " على", "probability": 0.92138671875}, {"start": 3423.6, "end": 3423.9, "word": " نص", "probability": 0.979736328125}, {"start": 3423.9, "end": 3424.52, "word": " الزاوية", "probability": 0.9787109375}, {"start": 3424.52, "end": 3425.9, "word": " لأنه", "probability": 0.74072265625}, {"start": 3425.9, "end": 3426.06, "word": " بدأ", "probability": 0.65185546875}, {"start": 3426.06, "end": 3426.38, "word": " يتكلم", "probability": 0.973388671875}, {"start": 3426.38, "end": 3426.58, "word": " على", "probability": 0.91748046875}, {"start": 3426.58, "end": 3426.86, "word": " نص", "probability": 0.991943359375}, {"start": 3426.86, "end": 3427.32, "word": " المحيط", "probability": 0.9945068359375}], "temperature": 1.0}, {"id": 127, "seek": 343288, "start": 3430.36, "end": 3432.88, "text": "خلاص، في حد عنده أي سؤال، وعطي كلها للشباب", "tokens": [9778, 1211, 33546, 12399, 8978, 11331, 3215, 43242, 3224, 36632, 8608, 33604, 6027, 12399, 4032, 3615, 9566, 1829, 28242, 11296, 24976, 8592, 3555, 16758], "avg_logprob": -0.3, "compression_ratio": 1.0410958904109588, "no_speech_prob": 0.0, "words": [{"start": 3430.36, "end": 3430.76, "word": "خلاص،", "probability": 0.90185546875}, {"start": 3430.76, "end": 3430.88, "word": " في", "probability": 0.7216796875}, {"start": 3430.88, "end": 3431.06, "word": " حد", "probability": 0.974609375}, {"start": 3431.06, "end": 3431.26, "word": " عنده", "probability": 0.949951171875}, {"start": 3431.26, "end": 3431.32, "word": " أي", "probability": 0.86767578125}, {"start": 3431.32, "end": 3432.0, "word": " سؤال،", "probability": 0.8927001953125}, {"start": 3432.0, "end": 3432.36, "word": " وعطي", "probability": 0.508758544921875}, {"start": 3432.36, "end": 3432.52, "word": " كلها", "probability": 0.5791015625}, {"start": 3432.52, "end": 3432.88, "word": " للشباب", "probability": 0.89404296875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3433.186375, "duration_after_vad": 3204.103124999984}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/_QFs8zUHmrY_raw.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/_QFs8zUHmrY_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..7f591f28c0fad486e3d8eb8b749cfceda94435a8
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/_QFs8zUHmrY_raw.srt
@@ -0,0 +1,2400 @@
+1
+00:00:21,090 --> 00:00:22,930
+باسم الله و الحمد لله و الصلاة والسلام علي رسول
+
+2
+00:00:22,930 --> 00:00:25,050
+الله اليوم ان شاء الله هنكمل في chapter
+
+3
+00:00:25,050 --> 00:00:30,190
+letterigenometry و كلنا اتكلمنا على ال function
+
+4
+00:00:30,190 --> 00:00:33,710
+الأساسية او ال main functions اللي موجودة او
+
+5
+00:00:33,710 --> 00:00:37,670
+سميناها ال geometric ratiosكانت الـ sine اللي هي
+
+6
+00:00:37,670 --> 00:00:41,970
+ال opposite على ال hypotenuse كانت ال cosine اللي
+
+7
+00:00:41,970 --> 00:00:44,590
+هي ال adjacent على ال hypotenuse و ال tan opposite
+
+8
+00:00:44,590 --> 00:00:49,450
+على adjacent وشوفنا المثال هذا بحيث اننا نجيب بقى
+
+9
+00:00:49,450 --> 00:00:53,490
+عناصر المثلثة المفقودة بناء على ال sine و ال
+
+10
+00:00:53,490 --> 00:01:00,950
+cosine الآن لو احنا سألنا على مستوى الدوال اللي
+
+11
+00:01:00,950 --> 00:01:01,730
+موجودة عندنا هنا
+
+12
+00:01:11,840 --> 00:01:18,800
+Sin ايش الزاوية؟ تمام؟ ايه الزاوية اللي انا
+
+13
+00:01:18,800 --> 00:01:25,520
+باخدها؟ اي زاوية؟ مظبوط؟ اي زاوية؟ فراح من صفر
+
+14
+00:01:25,520 --> 00:01:29,720
+لاتنين باي من صفر لاتنين باي او اقل من اتنين باي
+
+15
+00:01:29,720 --> 00:01:35,100
+ممتاز طيب احنا قبل شوية بنتكلم كنا ان انا بتكلم
+
+16
+00:01:35,100 --> 00:01:35,780
+على ratio
+
+17
+00:01:38,360 --> 00:01:41,660
+بتكلم على نسبة وشوفنا فعليا النسبة هي بين أضلاع
+
+18
+00:01:41,660 --> 00:01:46,520
+المثلث لما رسمت المثلث أنا مثلث قائم الزاوية
+
+19
+00:01:46,520 --> 00:01:52,420
+وافترضت أن هذه هي الزاوية θيتا بقول فينا ال
+
+20
+00:01:52,420 --> 00:01:57,020
+opposite adjacent لهيبوتينياص صح؟ و جينا بقول
+
+21
+00:01:57,020 --> 00:02:03,420
+الصين هي عبارة صين الثتا تساوي ال opposite على
+
+22
+00:02:03,420 --> 00:02:08,700
+الهيبوتينياصالثالثة عبارة عن زاوية صح؟ الآن في نفس
+
+23
+00:02:08,700 --> 00:02:14,440
+الوقت الثلاثة بتمثل function عندي ها بتاخد قيمة و
+
+24
+00:02:14,440 --> 00:02:18,420
+بتبديني قيمة تالية او بتعمل association ربط ما بين
+
+25
+00:02:18,420 --> 00:02:23,840
+قيمة الزاوية وال ratio المناسبة اللي لها فلو انا
+
+26
+00:02:23,840 --> 00:02:29,820
+اجيت و قلتلك هذه رسمة ال sign تمام؟ وسألتك شو ال
+
+27
+00:02:29,820 --> 00:02:34,370
+domain تبعتها نذكر مصطلح ال domain شو يعني؟المجال
+
+28
+00:02:34,370 --> 00:02:41,430
+ترجمته بالعربي المصطلح ايش يعني؟
+
+29
+00:02:41,430 --> 00:02:47,010
+هي عامل ..
+
+30
+00:02:47,010 --> 00:02:52,770
+هي عبارة عن قيم المعطالة الدالة تمام؟ بحيث انه
+
+31
+00:02:52,770 --> 00:02:57,250
+تبقى الدالة صحيحة ومعرفة بدون مشاكل اللي هي
+
+32
+00:02:57,250 --> 00:03:01,770
+بينجوسين عما يصير محور X دائماطبعا لان الهدالة
+
+33
+00:03:01,770 --> 00:03:07,650
+دائما احنا سمناها F of X بنتساوي ال Y وقولنا ال Y
+
+34
+00:03:07,650 --> 00:03:11,970
+عبارة عن مجموعة الصور اللي على محور ال Y مظبوط ال
+
+35
+00:03:11,970 --> 00:03:18,230
+range الان لو انت نظرت بشكل دقيق لل site بالمناسبة
+
+36
+00:03:18,230 --> 00:03:22,530
+اذا انت قلت من سالد ما لا نهاية الى موجة ما لا
+
+37
+00:03:22,530 --> 00:03:24,070
+نهاية فترة مفتوحة في ال domain
+
+38
+00:03:29,350 --> 00:03:34,130
+هتكون صح عارف ليش؟ لأنك بتبقى اللي يلف .. تقولها
+
+39
+00:03:34,130 --> 00:03:38,370
+دي دائرة تبدأ من صفر و عندما تصل تلتمية تسعة و
+
+40
+00:03:38,370 --> 00:03:42,190
+خمسين بترجع دائرة جدا عند الصفر و تبقى اللي يلف
+
+41
+00:03:42,190 --> 00:03:45,830
+فانت فعليا الأرقام اللي عندك لو أخدتها من المال
+
+42
+00:03:45,830 --> 00:03:49,070
+عليها يعني الآن على سبيل المثال لو أتينا أقوللك
+
+43
+00:03:49,070 --> 00:03:52,070
+زالة تلتمية و سبعين
+
+44
+00:03:54,750 --> 00:03:59,050
+هذه عشرة لأن تلاتمية و ستين لفت لفة كاملة وودتني
+
+45
+00:03:59,050 --> 00:04:06,110
+نفس ال .. يعني هذه sign تلاتمية و سبعين يساوي sign
+
+46
+00:04:06,110 --> 00:04:12,210
+العشرة يساوي sign العشرة مش هتتغير ولا حاجة طيب لو
+
+47
+00:04:12,210 --> 00:04:19,650
+انا اجيت بولت بدي اتكلم على ستمية و أربعين sign
+
+48
+00:04:19,650 --> 00:04:20,490
+الستمية و أربعين
+
+49
+00:04:24,880 --> 00:04:28,820
+جد ايش؟ لإيش متر و سبعين؟ ده كتش مضاعفات الـ360
+
+50
+00:04:28,820 --> 00:04:32,420
+360
+
+51
+00:04:32,420 --> 00:04:36,200
+و 360 720
+
+52
+00:04:36,200 --> 00:04:40,140
+اربع .. معناته ال .. اه سبع .. انا بدأك تقول ..
+
+53
+00:04:40,140 --> 00:04:44,540
+عفوا أنا بدأك تقول سبعمية سبعمية و أربعين معناته
+
+54
+00:04:44,540 --> 00:04:50,170
+بتكلم على عشرينجد ما تضرب خُد دائما إيش ما كانت
+
+55
+00:04:50,170 --> 00:04:53,610
+الزاوية هذه بتجتعرف الزاوية المقابلة منها تمام؟
+
+56
+00:04:53,610 --> 00:04:57,130
+خُد مضاعفات الـ360 واطلحهم على الرقم بتحصل على
+
+57
+00:04:57,130 --> 00:05:00,670
+الزاوية الحقيقية اللي إنت موجودة طب الزاوية هذه من
+
+58
+00:05:00,670 --> 00:05:05,850
+إيه؟ من وين لوين؟ من جديش لجديش؟ الآن إذا أنا قلت
+
+59
+00:05:05,850 --> 00:05:12,270
+من صفر تعالي تطلعي في الرسمة صير الصفر صفر طيب لحد
+
+60
+00:05:12,270 --> 00:05:14,350
+باي على اتنين
+
+61
+00:05:17,590 --> 00:05:22,130
+لحد التسعين صين التسعين كانتش يا شباب؟ واحد صين
+
+62
+00:05:22,130 --> 00:05:26,190
+التسعين واحد وبعد ذلك الدقالة بدت ايش؟ بدت تنزل
+
+63
+00:05:26,190 --> 00:05:29,670
+وكأنه انعمل mirror لمين؟ لكيرف اللي موجود عندهان
+
+64
+00:05:29,670 --> 00:05:33,990
+طب مش عمال احنا بنقول من سالب ملأ نهاية نقولها صح
+
+65
+00:05:33,990 --> 00:05:38,350
+طب ليش اختزلناها بالصفر؟ بينما ازاي فعليا الرسم
+
+66
+00:05:38,350 --> 00:05:42,810
+تايها يبتبدأ من سالب باي على اتنين لحد باي على
+
+67
+00:05:42,810 --> 00:05:47,660
+اتنين بعد هيك بيصير الكيرف هذا عمال ايش؟بعنوان
+
+68
+00:05:47,660 --> 00:05:53,420
+عمله ملو و تتذكر لما اتكلمنا عن ارتفاع المثلث في
+
+69
+00:05:53,420 --> 00:05:59,920
+الدائرة كل
+
+70
+00:05:59,920 --> 00:06:03,620
+ما جلت القاعدة زاد الارتفاع يعني في ال .. هيك لو
+
+71
+00:06:03,620 --> 00:06:09,260
+انا اتكلمتلك هنا على ال height هنا height H في
+
+72
+00:06:09,260 --> 00:06:16,520
+الربع هذا جاعت بزيد ولا لا في الربع التانيبجل في
+
+73
+00:06:16,520 --> 00:06:21,700
+اللي بعده بزيد في اللي بعده بانقص وهكذا حضر
+
+74
+00:06:21,700 --> 00:06:26,400
+للدائرة ان فعليا في عندي cycle موجودة على ال value
+
+75
+00:06:26,400 --> 00:06:30,200
+الموجودة فلو انا اختزل في ال domain و كتبت من سالب
+
+76
+00:06:30,200 --> 00:06:38,310
+باي على اتنين الى باي على اتنين هذا الكلام صحوإذا
+
+77
+00:06:38,310 --> 00:06:43,290
+كتبت من صفر إلى مائة و تمانين برضه صح وزي ما قلت
+
+78
+00:06:43,290 --> 00:06:46,590
+لك من البداية إذا كتبت من صفر إلى ما لا نهاية برضه
+
+79
+00:06:46,590 --> 00:06:49,990
+صح لكن صفر إلى ما لا نهاية بتوحي لرقم ل real
+
+80
+00:06:49,990 --> 00:06:53,550
+number كبير وعادة الزوايا إذا أنا بتتكلم على
+
+81
+00:06:53,550 --> 00:06:58,010
+domain هناك لزاوية مهاتف بتتكلمRadian عشان اقدر
+
+82
+00:06:58,010 --> 00:07:00,830
+اميز القيم اللي موجودة عندها فلو انت كتبت ايش ما
+
+83
+00:07:00,830 --> 00:07:05,370
+كتبتها الشباب من القيم لاحظ الدالة من سالد مالها
+
+84
+00:07:05,370 --> 00:07:08,630
+نهاية الى موجد مالها نهاية معرفة مافيش فيها مشاكل
+
+85
+00:07:08,630 --> 00:07:13,110
+وبالتالي ايش ما كتب الدمين هو فعليا حكومه صحيح
+
+86
+00:07:13,110 --> 00:07:17,380
+بدون اي مشاكلطيب ليش اختزلناها انبسط من أجل ان
+
+87
+00:07:17,380 --> 00:07:21,820
+نبسط المسألة مش اكثر من هيك تمام طيب في المقابل
+
+88
+00:07:21,820 --> 00:07:25,760
+انا كان في عندي domain وفي عندي ال range ايش ال
+
+89
+00:07:25,760 --> 00:07:28,960
+range؟ هي عبارة عن مجموعة القيم اللي بتنتج عن
+
+90
+00:07:28,960 --> 00:07:33,400
+الدالة مجموعة القيم اللي بتنتج عن الدالة طيب ايش
+
+91
+00:07:33,400 --> 00:07:38,420
+حسب القيم اللي موجودة عندها؟ صين
+
+92
+00:07:38,420 --> 00:07:47,320
+السفر صفر صين التسعينوحد سين السالب تسعين سالب
+
+93
+00:07:47,320 --> 00:07:50,700
+واحد هل ممكن الكلام تطلع معايا أغير من سالب واحد
+
+94
+00:07:50,700 --> 00:07:54,480
+أكبر من واحد لأ وبالتالي أنا بتكلم على closed
+
+95
+00:07:54,480 --> 00:08:03,400
+interval من سالب واحد لواحد الكزاي نفسها بدون
+
+96
+00:08:03,400 --> 00:08:09,180
+اختلاف من
+
+97
+00:08:09,180 --> 00:08:15,060
+صفر ل byواحد للحناقة high عشان يجيبلي ان العناص
+
+98
+00:08:15,060 --> 00:08:18,020
+فعليا صار في زيادة ونقصان في ارتفاع الـhigh تبع
+
+99
+00:08:18,020 --> 00:08:21,920
+المثلث اللي موجود عندها طيب لو تقولي انا من سالب
+
+100
+00:08:21,920 --> 00:08:27,420
+باي لسلب لموجة باي نفس المشكلة .. نفس الحاجة مافيش
+
+101
+00:08:27,420 --> 00:08:33,380
+مشكلة الآن ساية التسعين .. كزين التسعين كزين
+
+102
+00:08:33,380 --> 00:08:37,580
+التسعين حرام عليكم طب كزين الصفر او معناته طب
+
+103
+00:08:37,580 --> 00:08:42,230
+خليكم معايا أصحابي هالوجهة عشان نروح لأخر slideخُد
+
+104
+00:08:42,230 --> 00:08:45,110
+ليدك .. في حد .. في حد أعصر فينا؟ في حد بيستخدم
+
+105
+00:08:45,110 --> 00:08:50,430
+يده الشمال؟ طيب طالع في دك الشمال هيك تمام؟ زوا
+
+106
+00:08:50,430 --> 00:08:56,790
+صفر تلاتين خمسة واربعين ستين تسعين فدول المين
+
+107
+00:08:56,790 --> 00:09:01,650
+angles اللي دايما بنستخدمهم كمان مرة صفر تلاتين
+
+108
+00:09:01,650 --> 00:09:05,850
+خمسة واربعين ستين تسعين الان ال sign عشان ما
+
+109
+00:09:05,850 --> 00:09:10,870
+تنسهاش ال sign للزاوية تساوي
+
+110
+00:09:16,250 --> 00:09:21,710
+على اتنين ايش اللي تحت الجذر لا لا ايش اللي تحت
+
+111
+00:09:21,710 --> 00:09:25,630
+الجذر رقم حد كده علمتي صفره مجهوله الان اطلع في
+
+112
+00:09:25,630 --> 00:09:31,330
+ايدك صين الصفر هي عبارة عن عدد أصابعك اللي تحت
+
+113
+00:09:31,330 --> 00:09:35,590
+الصفر كم أسم عليك كده ما شاء الله عليك صفر جذر
+
+114
+00:09:35,590 --> 00:09:39,210
+الصفر صفر
+
+115
+00:09:39,210 --> 00:09:47,620
+على اتنين صفر تمام صين التلاتينواحد تحت الجذر على
+
+116
+00:09:47,620 --> 00:09:53,420
+اتنين، جذر الواحد؟ واحد، واحد على اتنين؟ نص، خمسة
+
+117
+00:09:53,420 --> 00:10:01,760
+واربعين، جذر التمين على اتنين، جذر الستين، الجذر
+
+118
+00:10:01,760 --> 00:10:09,490
+التلاتة على اتنينSin 90 جدر الأربع على اتنين جدر
+
+119
+00:10:09,490 --> 00:10:14,030
+الأربع على اتنين اتنين على اتنين واحد خلصتها سهلة
+
+120
+00:10:14,030 --> 00:10:19,490
+الـ Cos بتعد الأصابع اللي فوق الزاوية Cos الصفر
+
+121
+00:10:19,490 --> 00:10:24,030
+الأربع أصابع اللي فوق الزاوية جدر الأربع على اتنين
+
+122
+00:10:24,030 --> 00:10:32,390
+واحد Cos التلاتين جدر التلاتة على اتنينcos 45 جدر
+
+123
+00:10:32,390 --> 00:10:42,370
+2 على 2 cos 60 جدر 1 على 2 يعني نص جدر 90 جدر صفر
+
+124
+00:10:42,370 --> 00:10:49,230
+و سفر سهلة؟ نحفظها موجودة معاكش slide ايضا ركبتلك
+
+125
+00:10:49,230 --> 00:10:55,550
+اياها في اخر slideالتان مالهاش function ليه هو
+
+126
+00:10:55,550 --> 00:10:58,930
+function التان مالهاش function ليه هو function
+
+127
+00:10:58,930 --> 00:11:05,350
+التان مالهاش
+
+128
+00:11:05,350 --> 00:11:05,670
+function ليه هو function التان مالهاش function ليه
+
+129
+00:11:05,670 --> 00:11:05,670
+هو function التان مالهاش function ليه هو function
+
+130
+00:11:05,670 --> 00:11:05,670
+التان مالهاش function ليه هو function التان مالهاش
+
+131
+00:11:05,670 --> 00:11:05,670
+function ليه هو function التان مالهاش function ليه
+
+132
+00:11:05,670 --> 00:11:05,710
+هو function التان مالهاش function ليه هو function
+
+133
+00:11:05,710 --> 00:11:05,930
+التان مالهاش function ليه هو function التان مالهاش
+
+134
+00:11:05,930 --> 00:11:05,930
+function ليه هو function التان مالهاش function ليه
+
+135
+00:11:05,930 --> 00:11:05,930
+هو function التان مالهاش function ليه هو function
+
+136
+00:11:05,930 --> 00:11:07,150
+التان مالهاش function ليه هو function التان مالهاش
+
+137
+00:11:07,150 --> 00:11:07,530
+function ليه هو function التان مالهاش function ليه
+
+138
+00:11:07,530 --> 00:11:08,410
+هو function التان مالهاش function ليه هو function
+
+139
+00:11:08,410 --> 00:11:09,390
+التان مالهاش function ليه هو function التان مالهاش
+
+140
+00:11:09,390 --> 00:11:12,590
+function ليه هو function التان مالهاش function ليه
+
+141
+00:11:12,590 --> 00:11:18,740
+هو function التان مهذه ستين جذر التلاتة على كزار
+
+142
+00:11:18,740 --> 00:11:25,640
+الستين نص هذي كزار الستين هذي ستين كزارها واحد
+
+143
+00:11:25,640 --> 00:11:32,040
+واحد على اتنين فسهل
+
+144
+00:11:32,040 --> 00:11:35,840
+انك تجيبها تنمشي بعد؟ طيب
+
+145
+00:11:39,400 --> 00:11:43,000
+الان القيمة اللى جالس بتتكلم عليها اكبر قيمة بين
+
+146
+00:11:43,000 --> 00:11:49,300
+انا وانا كده الشباب؟ واحد جزر الأربعة على اثنين
+
+147
+00:11:49,300 --> 00:11:54,840
+واحد اكبر قيمة مصبوط ولا لأ؟ وبالتالي انا بقدر
+
+148
+00:11:54,840 --> 00:11:57,360
+اجيب الزوايا عندى بشكيش سريع حتى بدون ال
+
+149
+00:11:57,360 --> 00:12:04,270
+calculator طيب الانيعني اذا انا بدأ افترض ان ال
+
+150
+00:12:04,270 --> 00:12:09,390
+range تبعي هي ال domain تبعي بيبدأ من صفر كزاير
+
+151
+00:12:09,390 --> 00:12:15,070
+الصفر بواحد وبينتهر معناته اول اوصف الرقم هفنهر في
+
+152
+00:12:15,070 --> 00:12:22,870
+ال domain domain كزاير الصفر فعطيني واحد كزاير ال
+
+153
+00:12:22,870 --> 00:12:30,970
+by ال 180 سالب واحد سالب واحد أكثر تمام طيب التان
+
+154
+00:12:34,140 --> 00:12:39,800
+التان ايوة التان شو واضح يا شباب بدي اجيب ال
+
+155
+00:12:39,800 --> 00:12:47,500
+domain و بدي اجيب ال range اللي اعيتها احنا
+
+156
+00:12:47,500 --> 00:12:53,320
+كتبنا قانون قبل شوية التان تساوي ال sign على ال
+
+157
+00:12:53,320 --> 00:12:53,520
+cosine
+
+158
+00:13:03,650 --> 00:13:10,570
+صح؟ اذا انا في عندي مشكلة بما
+
+159
+00:13:10,570 --> 00:13:14,870
+ان ال cosine في المقام بما ان ال cosine في المقام
+
+160
+00:13:14,870 --> 00:13:18,770
+و الصفر .. لأ الصالب مش مشكلة الصالب مشكلة لو كان
+
+161
+00:13:18,770 --> 00:13:22,630
+تحت الجذر بس الان في عندي قسمة على صفر هتيجي هان
+
+162
+00:13:22,630 --> 00:13:28,930
+هي قيمة واحدة اللي عندنا مشكلة الصفر هان مين الزمن
+
+163
+00:13:28,930 --> 00:13:33,410
+اللي بتدني ال cosine صفر تلاتها؟الـ y على 2 لما
+
+164
+00:13:33,410 --> 00:13:37,210
+أنا عند ال y على 2 لما باخد ال y على 2 ال cosine
+
+165
+00:13:37,210 --> 00:13:44,310
+بطلع 0 مصبوط؟ طيب معناته أنا بدي أقوله كان 90
+
+166
+00:13:44,310 --> 00:13:55,710
+تساوي sin 90 على cosine 90 1 على 0 undefined مش
+
+167
+00:13:55,710 --> 00:14:00,590
+لما لنهاية لأ undefined عملية غير معرفةتمام؟
+
+168
+00:14:00,590 --> 00:14:07,210
+وبالتالي الان بدك تختار ال range تبعك بشكل دقيق ها
+
+169
+00:14:07,210 --> 00:14:14,550
+انا كانت معاك بحبوحة مظبوط؟ هشكي الزاوية هيها خط
+
+170
+00:14:14,550 --> 00:14:18,810
+أحمر الأساسي هذا ايش القيم اللي انا بدي أخدها وما
+
+171
+00:14:18,810 --> 00:14:25,450
+تدنيش قيمة غير معرفة باي على اتنين وسالب باي على
+
+172
+00:14:25,450 --> 00:14:29,540
+اتنين هدولة بتطلعهم من الحسبةفقط بالقيمتين هدولة
+
+173
+00:14:29,540 --> 00:14:35,780
+طب إزاي 91 فيها مشكلة؟ لأ إزاي 90.110 فيها مشكلة؟
+
+174
+00:14:35,780 --> 00:14:41,360
+لأ مشكلتي فقط عند ال 90 عند ال by على 2 سواء كانت
+
+175
+00:14:41,360 --> 00:14:47,420
+سالبة أو موجبة، مصبوط؟ طب في حد بذكرنا سواء كانت
+
+176
+00:14:47,420 --> 00:14:55,220
+سالبة أو موجبة، صح الكلام؟ قل
+
+177
+00:14:55,220 --> 00:15:03,780
+عن ال sign عبارة عنodd function صين
+
+178
+00:15:03,780 --> 00:15:16,980
+سالب فيتا يساوي سالب سين للفيتا، مصبوط؟ مش الحلب
+
+179
+00:15:16,980 --> 00:15:22,090
+عشان هي تقول عنها evenبظبط كامل كامل صح قلنا ال
+
+180
+00:15:22,090 --> 00:15:25,830
+cosine even function بس اللي أنا بهم القد هذه طيب
+
+181
+00:15:25,830 --> 00:15:31,530
+الان ايش بتقول انت يا كابل ال cosine لسالب theta
+
+182
+00:15:31,530 --> 00:15:38,390
+يساوي ال cosine ال theta يعني cosine سالب pi على
+
+183
+00:15:38,390 --> 00:15:44,920
+اتنينيساوي كزيان ال by على 2 يساوي صفر مظبوط
+
+184
+00:15:44,920 --> 00:15:47,680
+وبالتالي عند الصفر انا لازم اختار ال range تبعي
+
+185
+00:15:47,680 --> 00:15:52,760
+بشكل نبدأ عند ال domain by على 2 سالي ال by على 2
+
+186
+00:15:52,760 --> 00:15:56,080
+و by على 2 مش من ضمن ال range فلازم تكون الفترة
+
+187
+00:15:56,080 --> 00:16:00,120
+عندهم مفتوحة وبناء عليه لما انا بدي احدد ال range
+
+188
+00:16:00,120 --> 00:16:11,110
+طيب طيب القيمة اللي اكبربدرجة واحدة مش حنا قولنا
+
+189
+00:16:11,110 --> 00:16:16,050
+degree قولنا في عندي انا degree و في عندي minute و
+
+190
+00:16:16,050 --> 00:16:19,950
+في عندي second مظبوط اللي بعد اللي اكبر من ال by
+
+191
+00:16:19,950 --> 00:16:24,690
+سالب by على اتنين born second لأ مش واحد و تسعين
+
+192
+00:16:24,690 --> 00:16:26,050
+هي أبواعا
+
+193
+00:16:28,370 --> 00:16:33,950
+تسعين point او تسعة بالسالب تكون تسعة وتمانين
+
+194
+00:16:33,950 --> 00:16:36,290
+point تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة
+
+195
+00:16:36,290 --> 00:16:36,430
+تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة
+
+196
+00:16:36,430 --> 00:16:36,530
+تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة
+
+197
+00:16:36,530 --> 00:16:36,830
+تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة
+
+198
+00:16:36,830 --> 00:16:37,650
+تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة
+
+199
+00:16:37,650 --> 00:16:38,450
+تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة تسعة
+
+200
+00:16:38,450 --> 00:16:42,290
+تسعة تسعة تسعة تسعة تسعة تسعة تسعة
+
+201
+00:16:42,290 --> 00:16:47,520
+تسلاحظ إن مافيش تماث على نقطة الـ πاي على اتنين و
+
+202
+00:16:47,520 --> 00:16:51,980
+سالب باي على اتنين مع الزاوية لكن عند المالة نهاية
+
+203
+00:16:51,980 --> 00:16:54,820
+لما تكون الـ πاي على اتنين هذه بتصير القيمة غير
+
+204
+00:16:54,820 --> 00:17:00,040
+معرفة، مظبوط؟ فبتكون إذا اقتربت بحد كبير للخط لكن
+
+205
+00:17:00,040 --> 00:17:03,300
+ماعملتش، ماتتش، ماقابعته، لو قابعته، ما هي تتصرف
+
+206
+00:17:03,300 --> 00:17:08,980
+فيه عندي قيمة؟ معرفة، نعم تمام، وبالتالي الفترة
+
+207
+00:17:08,980 --> 00:17:13,400
+بيكون مفتوحة مطابقة تماما للفترة اللي موجودة عندها
+
+208
+00:17:16,060 --> 00:17:20,880
+واضح الأمور يا شباب؟ لأ ماذا لم يبقى واضح عندنا
+
+209
+00:17:20,880 --> 00:17:25,000
+لكي نعيد تاني الان في chapter ال function مرت
+
+210
+00:17:25,000 --> 00:17:30,960
+علينا ال inverse قلنا معكوس الدالة معكوس الدالة
+
+211
+00:17:30,960 --> 00:17:35,800
+ايش هو يا شباب الو
+
+212
+00:17:35,800 --> 00:17:39,840
+بيرجع بياخد قيمة ال Y و برجعها ل X الأصلية أصبت؟
+
+213
+00:17:39,840 --> 00:17:44,900
+معكوس الدالة يعني هيك لو كانت انديا أنا F of X
+
+214
+00:17:45,760 --> 00:17:51,800
+بديها تساوي Y لما اتكلمنا عن ال inverse تمام قرنا
+
+215
+00:17:51,800 --> 00:18:00,860
+F inverse لل Y بديها تساوي X كيف اجت لأن هذه F
+
+216
+00:18:00,860 --> 00:18:06,240
+inverse لل F و X وتساوي
+
+217
+00:18:07,810 --> 00:18:12,970
+X صح و هتشوفناها مباشرة مع ال sign و ال cosine و
+
+218
+00:18:12,970 --> 00:18:16,430
+شوفناها بشكل مباشر مع ال sign و ال cosine ال
+
+219
+00:18:16,430 --> 00:18:24,830
+inverse function او ال inverse ratio بيحول ال
+
+220
+00:18:24,830 --> 00:18:31,010
+ratio ليمين لزاوية بيحول ال ratio لزاوية يعني
+
+221
+00:18:31,010 --> 00:18:34,250
+المفروض الان ال arc inverse او ال sign inverse
+
+222
+00:18:34,250 --> 00:18:42,540
+بتاخد من ايهتاخد من الـ real number من الفترة نرجع
+
+223
+00:18:42,540 --> 00:18:50,060
+هنا ال function sin x معرفة من ال domain لل range
+
+224
+00:18:50,060 --> 00:18:55,700
+sin
+
+225
+00:18:55,700 --> 00:19:00,800
+inverse معرفة
+
+226
+00:19:00,800 --> 00:19:04,100
+من ال range لل domain عكسها تماما لأن المفروض هي
+
+227
+00:19:04,100 --> 00:19:05,540
+تديني زاوية
+
+228
+00:19:11,040 --> 00:19:17,900
+سواء كتبنا لك arc inverse او كتبنا لك sine inverse
+
+229
+00:19:17,900 --> 00:19:26,760
+او arc sine او sine السالي بواحد هك او هك نفس
+
+230
+00:19:26,760 --> 00:19:33,300
+المعنى طيب تمام هذه ال domain لل range عكسنا لك هي
+
+231
+00:19:33,300 --> 00:19:39,140
+تماماً range sine هي domain لل sine inverse والعكس
+
+232
+00:19:39,140 --> 00:19:50,190
+صحيحبتتمتع بإن هان مش زاوية هن real number بالضبط
+
+233
+00:19:50,190 --> 00:20:01,970
+بتاخد من ال range اللي موجود عندها الرسم
+
+234
+00:20:01,970 --> 00:20:05,790
+هتلعكس بكل تأكيد حسب الاتجاه لو تخيل كلمة ال sign
+
+235
+00:20:05,790 --> 00:20:09,990
+مصبوط
+
+236
+00:20:11,860 --> 00:20:17,420
+عكسه تماما او خد الرسمة و اعمل rotation بتجاه
+
+237
+00:20:17,420 --> 00:20:21,500
+اليمين مقدار 90 درجة اعمل rotation مقدار 90 درجة
+
+238
+00:20:21,500 --> 00:20:25,340
+بتكون حصلت على الرسمة الخاصة بالعنصر الموجود هنا
+
+239
+00:20:25,340 --> 00:20:31,880
+anyway الان فهم ال sign و فهم ال cosine و عرفنا
+
+240
+00:20:31,880 --> 00:20:37,560
+انجيب الزوايا بشكل سريع الان لو انا بدى ارجع معاها
+
+241
+00:20:37,560 --> 00:20:37,820
+كان
+
+242
+00:20:40,580 --> 00:20:43,980
+للرسمة هذه اتطلع في الرسمتين .. انسى الخط الأحمر
+
+243
+00:20:43,980 --> 00:20:48,840
+في الرسمتين في ال sign و ال cosine تخيل كله خط
+
+244
+00:20:48,840 --> 00:20:53,800
+أزرق فى فرق بين ال sign و ال cosine؟ فى فرق بين ال
+
+245
+00:20:53,800 --> 00:21:00,360
+sign و ال cosine يا شباب؟ماهو الفرق؟ من أين بدت
+
+246
+00:21:00,360 --> 00:21:05,180
+الزاوية؟ من أين بدت الزاوية؟ عشان هذه كنت بكلمة
+
+247
+00:21:05,180 --> 00:21:10,820
+هذه تمام؟ بدي أعمل لل sign إزاحة تمام؟ أو بدي أعمل
+
+248
+00:21:10,820 --> 00:21:15,820
+إزاحة لواحدة من التنتين بغض النظر، الآن لاحظ عشان
+
+249
+00:21:15,820 --> 00:21:21,890
+أنا أجيبالقمة هذه تكون هنا تتطابق مع ال cosine بي
+
+250
+00:21:21,890 --> 00:21:31,270
+على اتنين او بين دوسين بدي ازيب الكوزين بي على
+
+251
+00:21:31,270 --> 00:21:36,190
+اتنين اديها اما هذا بدأ اطرح منها او بدي ازيب على
+
+252
+00:21:36,190 --> 00:21:41,360
+التاني لكن فعليا ال curveنفسه نفس الدورة الموجودة
+
+253
+00:21:41,360 --> 00:21:44,680
+عشان أيه؟ إذا بتتذكر عندما قلتلك أنك ترسم حركة
+
+254
+00:21:44,680 --> 00:21:47,920
+الميّه كل ما مطموض منك هو أنك تستخدم الـSin أو
+
+255
+00:21:47,920 --> 00:21:51,700
+الـCos أي واحدة منهم هتديك نفس النتيجة عند
+
+256
+00:21:51,700 --> 00:21:57,360
+الـDesign طيب الـSin
+
+257
+00:21:57,360 --> 00:22:01,080
+أو الـCos تبقى typical تمام؟ لكن الاختلاف عند
+
+258
+00:22:01,080 --> 00:22:05,140
+التسعين وبالتالي أنا بحاجة أن أعمل إزاحة لنقدار
+
+259
+00:22:05,140 --> 00:22:11,640
+تسعين درجة بايباي على اتنين يعني ساين ثيتا تساوي
+
+260
+00:22:11,640 --> 00:22:17,740
+عفوا كزاين الثيتا تساوي ساين ثيتا زائد باي على
+
+261
+00:22:17,740 --> 00:22:23,720
+اتنين باي على اتنين هل الكلام صح ممكن نعمل حساب؟
+
+262
+00:22:23,720 --> 00:22:28,780
+رياضيات
+
+263
+00:22:28,780 --> 00:22:38,370
+حاضر كزاين التلاتين تساوي المفروض ساينتلاتين زائد
+
+264
+00:22:38,370 --> 00:22:42,990
+تسعين مصبوط
+
+265
+00:22:42,990 --> 00:22:48,790
+الـ 120 المفروض هيك
+
+266
+00:22:48,790 --> 00:22:58,250
+لو انا افترضت الدائرة هي هي مية عشرين صح كزار
+
+267
+00:22:58,250 --> 00:23:05,170
+التلاتين كده الشباب جذر التلاتة على اتنين احنا
+
+268
+00:23:05,170 --> 00:23:06,670
+بنقول تلاتين هي تلاتين
+
+269
+00:23:09,380 --> 00:23:15,880
+جدر التلاتة على اتنين تمام طيب صين ال 100 و تقل ال
+
+270
+00:23:15,880 --> 00:23:23,740
+120 صين ال 120 ايوة
+
+271
+00:23:23,740 --> 00:23:27,540
+اجيب كل واحدة لحاله اجمعهم لأ انا فهمتك بشغلتانية
+
+272
+00:23:27,540 --> 00:23:33,180
+لأ في شغل احسن المتنمة
+
+273
+00:23:33,180 --> 00:23:34,680
+بتشتغل على المتنمة
+
+274
+00:23:37,630 --> 00:23:46,410
+180-120 60 ساين الستين يا شباب حرام عليك ساين
+
+275
+00:23:46,410 --> 00:23:54,730
+الستين يا شباب جدر التلاتة على اتنين ومعناته
+
+276
+00:23:54,730 --> 00:24:02,070
+هدفته ساوي ساين الستين لانها المتملة، بظبط؟ وهدفه
+
+277
+00:24:02,070 --> 00:24:11,180
+ساوي جدر التلاتة على اتنينطيب الان
+
+278
+00:24:11,180 --> 00:24:19,740
+جالي sin θ تربيع زائد cosine تربيع الثيتا يساوي
+
+279
+00:24:19,740 --> 00:24:26,460
+واحد طيب لو
+
+280
+00:24:26,460 --> 00:24:30,820
+انا بدي اجسم على sin θ تربيع او sin تربيع الثيتا
+
+281
+00:24:30,820 --> 00:24:33,460
+مش قضي ال sin تربيع لان التربيع لل function مش
+
+282
+00:24:33,460 --> 00:24:41,250
+للزاويةسين تربيه ثيتا جسم الطرفين سنعمل
+
+283
+00:24:41,250 --> 00:24:47,910
+مشترك صح سين تربيه ثيتا بتجسم على سين تربيه ثيتا
+
+284
+00:24:52,520 --> 00:24:58,100
+زائد ما هيها هذه sign على sign واحد زائد cosine
+
+285
+00:24:58,100 --> 00:25:04,100
+تربيع على sign تربيع تان تربيع يساوي واحد على sign
+
+286
+00:25:04,100 --> 00:25:15,760
+تربيع مقلوب ال sign second عيد تاني مش
+
+287
+00:25:15,760 --> 00:25:17,580
+can
+
+288
+00:25:22,060 --> 00:25:24,760
+مقلوب التان
+
+289
+00:25:35,270 --> 00:25:38,650
+الان تقسيم على الـ cosine مش على الـ sine المعادلة
+
+290
+00:25:38,650 --> 00:25:41,790
+صح بس انا اللي اخطأت لما اتكلمت عن القسمة على الـ
+
+291
+00:25:41,790 --> 00:25:44,790
+sine اللي تحتيها هي في القسمة على الـ sine كو تان
+
+292
+00:25:44,790 --> 00:25:50,530
+لان ال cosine على ال sine مقلوب التان مقلوب التان
+
+293
+00:25:50,530 --> 00:25:57,270
+كو تان تمام؟ في المعادلة الأولى جسمنا هذه على
+
+294
+00:25:57,270 --> 00:26:05,540
+كوزين تربيةجسم المعادلة هذه على cosine تربيع sine
+
+295
+00:26:05,540 --> 00:26:10,600
+تربيع على cosine تربيع 10 cosine تربيع على cosine
+
+296
+00:26:10,600 --> 00:26:17,440
+تربيع واحد واحد على cosine تربيع second تربيع وهو
+
+297
+00:26:17,440 --> 00:26:22,160
+مقلوب ال cosine مقلوب ال cosine لما جسمتي على ال
+
+298
+00:26:22,160 --> 00:26:25,240
+sine لما جسمتي على ال sine sine تربيع على sine
+
+299
+00:26:25,240 --> 00:26:34,750
+تربيع واحد cosine تربيع علىسين تربيه كو تان واحد
+
+300
+00:26:34,750 --> 00:26:40,970
+على سين تربيه كو سيكنت تسمية
+
+301
+00:26:40,970 --> 00:26:50,330
+انتوا نسيتها يا شكايكو كو
+
+302
+00:26:50,330 --> 00:26:57,570
+سيكنت مقلوب واحد على سين سيكنت
+
+303
+00:26:57,570 --> 00:27:08,140
+واحد على كزينكوتن كوزاين على ساين اللي هي واحد على
+
+304
+00:27:08,140 --> 00:27:18,500
+تاني مقلوب واحد على التاني كمان مرة مقلوب مقلوب ال
+
+305
+00:27:18,500 --> 00:27:27,980
+sign كو سيكنت كو سيكنت مقلوب الكوزاين سيكنت مقلوب
+
+306
+00:27:27,980 --> 00:27:29,820
+التان كوتن
+
+307
+00:27:38,410 --> 00:27:45,930
+طيب القوانين هذه مهمة بالنسبة لنا ومثق عنها
+
+308
+00:27:45,930 --> 00:27:50,810
+قانونين مهمات واحد بيسموه ال sign rule والثاني
+
+309
+00:27:50,810 --> 00:27:55,630
+بيسموه ال cosine rule كل كلامنا السابق يا شباب كان
+
+310
+00:27:55,630 --> 00:28:02,590
+في مثلث قائم الزاوية في مثلث قائم الزاوية طيب
+
+311
+00:28:04,330 --> 00:28:08,550
+و احنا قلنا معلومة سابقا بغض النظر شو كان المثلث
+
+312
+00:28:08,550 --> 00:28:14,050
+مجموع الزوايا الداخلية للمثلث 180 طب المثلث هذا
+
+313
+00:28:14,050 --> 00:28:18,990
+يشفرج عن المثلث قائم الزاوية بس مافيه قائم مثلث
+
+314
+00:28:18,990 --> 00:28:22,810
+قائم الزاوية قدرت استخدم في ثغورس عشان احدد ال
+
+315
+00:28:22,810 --> 00:28:27,890
+water وبشكل دقيقلكن ضلة الـSin والـCos هي عبارة عن
+
+316
+00:28:27,890 --> 00:28:33,390
+ريشيو بين مين ومين بين الـSin، بعفوًا، بين الوطر
+
+317
+00:28:33,390 --> 00:28:37,170
+وبين الضلة المقابل أو العسابي للمثال طب، هذا
+
+318
+00:28:37,170 --> 00:28:41,410
+المثلث لو أنا اتخيلت هذا غير قائم الزاوية، مسمور؟
+
+319
+00:28:41,410 --> 00:28:47,110
+لو أنا اتخيلت ان انا بدي أعمله هيك أعمل
+
+320
+00:28:47,110 --> 00:28:53,080
+فعليًا مثلثين قائم الزاوية أو أسقط عمود علىعلى ال
+
+321
+00:28:53,080 --> 00:28:57,560
+C على القبر اللى اسمه او على الضلع اللى اسمه C ايش
+
+322
+00:28:57,560 --> 00:29:03,680
+صار عندى لان شباب طيب تمام هلأ بعرف أرسم شكل انا
+
+323
+00:29:03,680 --> 00:29:11,580
+رايح على الآخر ميل بسم الله نفس الكلام طول عمره
+
+324
+00:29:11,580 --> 00:29:13,640
+الأستاذ بيقوللي في الصف انت دايما لما تكتب على
+
+325
+00:29:13,640 --> 00:29:18,040
+اللوحة تنزل تشرب طيب فى حد بيدب على فرصة مهيجة
+
+326
+00:29:18,040 --> 00:29:23,370
+كحسنة؟ كويسالـ A صار في أندي مثلثين قائمين ممتاز
+
+327
+00:29:23,370 --> 00:29:32,970
+خلّيني أقول ان بيه H صح؟ طيب sign ال B الزاوية B
+
+328
+00:29:32,970 --> 00:29:36,430
+sign
+
+329
+00:29:36,430 --> 00:29:45,930
+ال B يساوي H المقابل على A طيب
+
+330
+00:29:45,930 --> 00:29:53,680
+sign ال Cسوى C على A C على A
+
+331
+00:29:53,680 --> 00:30:02,840
+C على A C على A C على A C على A C على A C على A C
+
+332
+00:30:02,840 --> 00:30:03,560
+على A C على A C على A C على A C على A C على A C
+
+333
+00:30:03,560 --> 00:30:03,680
+على A C على A C على A C على A C على A C على A C
+
+334
+00:30:03,680 --> 00:30:03,680
+على A C على A C على A C على A C على A C على A C
+
+335
+00:30:03,680 --> 00:30:03,860
+على A C على A C على A C على A C على A C على A C
+
+336
+00:30:03,860 --> 00:30:03,860
+على A C على A C على A C على A C على A C على A C
+
+337
+00:30:03,860 --> 00:30:04,560
+على A C على A C على A C على A C على A C على A C
+
+338
+00:30:04,560 --> 00:30:04,580
+على A C على A C على A C على A C على A C على A C
+
+339
+00:30:04,580 --> 00:30:04,580
+على A C على A C على A C على A C على A C على A C
+
+340
+00:30:04,580 --> 00:30:04,580
+على A C على A C على A C على A C على A C على A C
+
+341
+00:30:04,580 --> 00:30:08,620
+على A C على A C على A C على A C على A C على A C
+
+342
+00:30:08,620 --> 00:30:18,610
+على A C على A C على A C على A C على A C علىطيب
+
+343
+00:30:18,610 --> 00:30:27,410
+سيبنا من ال C لو اجينا ال .. ال A سيبنا من ال C
+
+344
+00:30:27,410 --> 00:30:31,310
+شوية ال
+
+345
+00:30:31,310 --> 00:30:42,490
+sign ال A H على B صحيك
+
+346
+00:30:42,490 --> 00:30:46,190
+او لان ال B هي ال water
+
+347
+00:30:49,090 --> 00:30:52,070
+أه صلى الله عليه و سلم على سيدنا محمد الشغل الأخير
+
+348
+00:30:52,070 --> 00:30:56,950
+علها علاقة بال C ماتنساش
+
+349
+00:30:56,950 --> 00:31:00,910
+ان العمود تبعي كمان شو سوى في ال C شباب نصفها
+
+350
+00:31:00,910 --> 00:31:05,150
+نصفها نصفها مش نصفها بس ايش اجتازة الزاولة اللى
+
+351
+00:31:05,150 --> 00:31:10,510
+موجودة عندى هنا مظبوط طيب شجعها كويس مصالح كويس
+
+352
+00:31:10,510 --> 00:31:13,070
+الآن هى
+
+353
+00:31:22,320 --> 00:31:31,460
+A بصين B يساوي H وB
+
+354
+00:31:31,460 --> 00:31:50,060
+بصين A تساوي H يعني A بصين B يساوي B بصين A
+
+355
+00:31:53,010 --> 00:31:59,290
+عشان اعمل الدور التبادل بين F هذي و F هذي صار عندي
+
+356
+00:31:59,290 --> 00:32:06,370
+A في SIN بيه ساوي H و B في SIN بيه A تساوي H يعني
+
+357
+00:32:06,370 --> 00:32:07,570
+صار F هذي تساوي H
+
+358
+00:32:15,260 --> 00:32:20,060
+بتجسم على ال sign او بتجسم على ab او بتجسم على ال
+
+359
+00:32:20,060 --> 00:32:23,380
+sign بتجسم على ال sign بتجسم على ال sign sign ايش؟
+
+360
+00:32:23,380 --> 00:32:33,060
+sign b بتجسم على sign b ماتوا a على لحالها تساوي b
+
+361
+00:32:33,060 --> 00:32:40,280
+في sign ال a على sign ال b طب ليش بتعمل الشغل هاي؟
+
+362
+00:32:40,280 --> 00:32:43,840
+بتجسم على sign a في sign ال b
+
+363
+00:32:46,700 --> 00:32:52,000
+بتجسم على sign ال A في sign ال B بتظهر فى عندي هن
+
+364
+00:32:52,000 --> 00:33:03,660
+إيه؟ sign ال A تساوي B على sign
+
+365
+00:33:03,660 --> 00:33:08,100
+ال B طيب نرجع للمثلث الأصم الآن
+
+366
+00:33:17,370 --> 00:33:22,410
+الزاوية ايه؟ تمام؟ او ايه؟ الدلع المقابل للزاوية
+
+367
+00:33:22,410 --> 00:33:30,050
+يساوي .. تمام؟
+
+368
+00:33:30,050 --> 00:33:33,410
+الدلع المقابل على صين الزاوية، مصبوط؟ طب و هذا
+
+369
+00:33:33,410 --> 00:33:40,190
+مُثلَف، و هذا مُثلَف، مجموعة زوايات 180 درجة، ضل
+
+370
+00:33:40,190 --> 00:33:41,770
+في عند دولة و زاوية و مقابلة
+
+371
+00:33:51,800 --> 00:33:56,760
+أصبحت وبالتالي هذا احنا بنسميه ال sign rule قانون
+
+372
+00:33:56,760 --> 00:34:06,660
+ال sign مفاده هي ان a على sign ال a مش هي ratio في
+
+373
+00:34:06,660 --> 00:34:11,140
+الآخر هي عبارة عن نسب وانا حصلت على النسب وبالتالي
+
+374
+00:34:18,730 --> 00:34:28,850
+في المثلث في المثلث الغير قائم الزاوية a على صين a
+
+375
+00:34:28,850 --> 00:34:34,770
+اتدلق على صين الزاوية المقابلة تمام النسبة هذه
+
+376
+00:34:34,770 --> 00:34:40,190
+متساوية للزاوية الثلاثة تبع المثلث ايش انا باستفيد
+
+377
+00:34:40,190 --> 00:34:54,440
+منها خلينا احنا بس هجدش ال ..A 60 B 40 C 80 60
+
+378
+00:34:54,440 --> 00:35:03,340
+40 80 درجة طبعا المثال مش موجود عندك في ال slide و
+
+379
+00:35:03,340 --> 00:35:08,600
+ال B عندك تساوي عشرة المثال
+
+380
+00:35:08,600 --> 00:35:15,740
+مش موجود في ال slides تمام؟ و قلت بالسؤال مالك هات
+
+381
+00:35:15,740 --> 00:35:22,310
+لي باقي بيانات المثلثةأيوة كيف؟ الآن إيش عندك
+
+382
+00:35:22,310 --> 00:35:27,070
+معلوم في المثلث؟ عندك الزوايا الداخلية كلها معلومة
+
+383
+00:35:27,070 --> 00:35:32,050
+وعندك دلع .. دلع معلوم الزوايا الداخلية كلها
+
+384
+00:35:32,050 --> 00:35:37,390
+معلومة ودلع معلوم الآن بيبدو منك جلك IP تسوى عشرة
+
+385
+00:35:37,390 --> 00:35:41,030
+تمام؟
+
+386
+00:35:41,030 --> 00:35:46,610
+طيب ب هي مقابل لمين يا شباب؟ لسنة و أربعين معناته
+
+387
+00:35:46,610 --> 00:35:55,600
+عشرةعلى sign ال 40 بدا تساوي أجيب أنا قيمة ال C
+
+388
+00:35:55,600 --> 00:36:04,240
+تمام؟ او قيمة ال A مش قضية تساوي A على sign ال 60
+
+389
+00:36:04,240 --> 00:36:08,040
+طيب
+
+390
+00:36:08,040 --> 00:36:14,220
+وهذه نفسها تساوي عشان نكتبها كلها مرة واحدة C على
+
+391
+00:36:14,220 --> 00:36:20,490
+sign ال 80بصبوط؟ طيب الآن يعني انا فعليا عندي
+
+392
+00:36:20,490 --> 00:36:24,350
+مجهيل في المثلق بقى ال a وال c بدي اجيبهم باخدها
+
+393
+00:36:24,350 --> 00:36:31,910
+واحدة واحدة هذه تساوي عشرة
+
+394
+00:36:31,910 --> 00:36:40,110
+في sign الستين على sign الأربعين هذه قيمة ال a
+
+395
+00:36:40,110 --> 00:36:43,690
+بصبوط؟
+
+396
+00:36:47,380 --> 00:36:51,740
+عند ضرب تبادل ايه ايه في صين الاربعين بده يتساوي
+
+397
+00:36:51,740 --> 00:36:55,600
+عشرة في صين السبتين انا بدي ال ا لحالها بده اجسم
+
+398
+00:36:55,600 --> 00:37:01,240
+على صين الاربعين معته ايه بيتساوي عشرة صين السبتين
+
+399
+00:37:01,240 --> 00:37:05,800
+في صين الاربعين طبعا ان هو صين الاربعين مش هانا مش
+
+400
+00:37:05,800 --> 00:37:09,700
+هانا نعرف نحسبها بالليش بالإيد الموجودة مصبوط
+
+401
+00:37:12,780 --> 00:37:14,860
+أحنا نفكر في الانتحار بيانه مافيش calculator برجل
+
+402
+00:37:14,860 --> 00:37:19,160
+بأكد حلش تلعله ان الزوايا اللي تكون موجودة اليك
+
+403
+00:37:19,160 --> 00:37:23,880
+قادر انك انت توجب قيمتها بدون كالك .. غضب النظر
+
+404
+00:37:23,880 --> 00:37:27,440
+الزاوية والنظر اللي حبيبلك زوايا تقدر تجيب ال sign
+
+405
+00:37:27,440 --> 00:37:31,540
+و ال cosine تبعيتها باعتمادك على كثرة ايدك ان شاء
+
+406
+00:37:31,540 --> 00:37:34,720
+الله تعالى اعيده تاني طيب
+
+407
+00:37:39,730 --> 00:37:43,670
+أحنا الأن بنقول في المثلث هذا قاعد بيطلب مني
+
+408
+00:37:43,670 --> 00:37:47,010
+بيقولي هات باقي المجاهيل او هات بيانات المثلث
+
+409
+00:37:47,010 --> 00:37:50,930
+البيانات اللي موفرليها بيقوللي انه عندك انت تلت
+
+410
+00:37:50,930 --> 00:37:55,050
+زوايا ستين تمانين اربعين صحيح مجموحهم يه عشرين
+
+411
+00:37:55,050 --> 00:38:00,010
+امية و تمانين مافيش مشكلة عندي ومدين الدلع بقيمته
+
+412
+00:38:00,010 --> 00:38:04,310
+عشرةمن يبقى اللي مجهول عندي؟ اقول الضلع A و اقول
+
+413
+00:38:04,310 --> 00:38:08,870
+الضلع C بعد ما انا عندي ال sign يقول بقول A على
+
+414
+00:38:08,870 --> 00:38:15,270
+sign ال A B على sign ال B C على sign ال C متساويات
+
+415
+00:38:15,270 --> 00:38:21,470
+ممتازة معناته انا بقدر اقولها عشرة على sign
+
+416
+00:38:21,470 --> 00:38:27,550
+الأربعين اللي هي الزاوية المقابلة بيبقى ساوي A على
+
+417
+00:38:27,550 --> 00:38:28,210
+sign ال 60
+
+418
+00:38:31,890 --> 00:38:41,770
+أنا بدي a a في صين الاربعين بدي تساوي عشرة في صين
+
+419
+00:38:41,770 --> 00:38:47,690
+الستين يعني ال a لحالها بدي اجسم على صين الاربعين
+
+420
+00:38:47,690 --> 00:38:57,850
+يعني ال a بدي تساوي عشرة صين ستين على صين الاربعين
+
+421
+00:38:57,850 --> 00:39:02,680
+وانتهت المسألة وبنفس الطريقة بدي بنينبجيب الـC
+
+422
+00:39:02,680 --> 00:39:06,220
+اعتمد الآن على الـA على صين الـA فاش مشكلة اللي
+
+423
+00:39:06,220 --> 00:39:10,300
+أصبحت الـE ما عندك معروفة و لو بدك تعتمد على عشر
+
+424
+00:39:10,300 --> 00:39:20,000
+على صين الأربعين بنفس الكيفية طيب .. الآن لو
+
+425
+00:39:20,000 --> 00:39:28,320
+أداني جيه اللي فيه عندي هنا زي وستين تمام؟
+
+426
+00:39:28,320 --> 00:39:29,460
+عشان تقدر
+
+427
+00:39:32,940 --> 00:39:37,940
+تجيب على عصر او تقدر تكمل بيانات المثلث ايش بيلزمك
+
+428
+00:39:37,940 --> 00:39:47,620
+على الأقل؟ ضلعين وزاوية او زاويتين وضلع على الأقل
+
+429
+00:39:47,620 --> 00:39:52,040
+لازم يكون في عندك معلوم يعني لو انا قلتلك هي
+
+430
+00:39:52,040 --> 00:39:58,100
+الزاوية هذه ستين والضلع هذه عشرة تقدرش تسوي ولا
+
+431
+00:39:58,100 --> 00:40:04,520
+اشيبتدى كمان مرات بالذنب اما غلع او زاوية طيب
+
+432
+00:40:04,520 --> 00:40:07,860
+السؤال اللى بيطلح نفسه لو انا جيت بجيتك الزاوية
+
+433
+00:40:07,860 --> 00:40:14,860
+هنا دى بقيتلكها بخمسين ليش مفاقش ابداك تكملها
+
+434
+00:40:14,860 --> 00:40:21,060
+ماتنغبش اي زاوية اي زاويتين طبعا زاويتين و غلع
+
+435
+00:40:21,060 --> 00:40:26,160
+بتقدر تجيب كل المطلوب او بلعين و زاوية بتجيب كل
+
+436
+00:40:26,160 --> 00:40:26,600
+المطلوب
+
+437
+00:40:30,340 --> 00:40:33,780
+ما هو الان ايش الدلالي اللي بيديكي ياهم مثلا ادّاك
+
+438
+00:40:33,780 --> 00:40:41,280
+هذا اللي قالك ان الدلالي هذا طوله سبعة سارت
+
+439
+00:40:41,280 --> 00:40:48,360
+انا اشف يهال دي سبعة على ساين الستين يساوي عشرة
+
+440
+00:40:48,360 --> 00:40:54,900
+على ساين ال بي لان ساين ال بي بده تساوي
+
+441
+00:40:57,850 --> 00:41:04,310
+عشرة sin 60 على سبعة فانا بدي ال B sin inverse
+
+442
+00:41:04,310 --> 00:41:11,610
+لعشرة مضروبة في sin 60 على سبعة بتجيب قيمة ال B
+
+443
+00:41:11,610 --> 00:41:15,610
+جيبت قيمة ال B بتروح تجيب نين ال C و بتكمل ده ال
+
+444
+00:41:15,610 --> 00:41:18,970
+ratio اللي موجود عندك فلازم يكون في عندك معلومات
+
+445
+00:41:18,970 --> 00:41:25,070
+تقدرش تبني عليها في الحل وإلا مش هتقدر تسوي ولا حد
+
+446
+00:41:25,070 --> 00:41:31,410
+في المثلثيعني انت في الآخر لازم يكون في عندك
+
+447
+00:41:31,410 --> 00:41:35,250
+مُعطَى ومُعطَى قوي اللي له علاقة في الموضوع عشان
+
+448
+00:41:35,250 --> 00:41:46,090
+تقدر تبني عليه وإلا بتكون المسألة مش مسألة هاي ال
+
+449
+00:41:46,090 --> 00:41:51,030
+cosine rule لو على نفس المثلث ال cosine rule ايش
+
+450
+00:41:51,030 --> 00:41:57,650
+بقولك ال cosine rule هو عبارة عنSin تربيع ثيتا زي
+
+451
+00:41:57,650 --> 00:42:00,330
+الـ cosine تربيع ثيتا يساوي اللي احنا شوفناه قبل
+
+452
+00:42:00,330 --> 00:42:10,630
+شوية، مصبوط؟ طيب، منه قال
+
+453
+00:42:10,630 --> 00:42:19,930
+لي لو كان المثلث هذا قائم الزاوية A
+
+454
+00:42:19,930 --> 00:42:22,190
+B C
+
+455
+00:42:24,260 --> 00:42:29,520
+اي تربيع ايش تساوي يا شباب اي
+
+456
+00:42:29,520 --> 00:42:36,220
+تربيع تساوي بي تربيع زي سي تربيع مظبوط؟ نقص اتنين
+
+457
+00:42:36,220 --> 00:42:44,920
+بي سي في كزين اي على اللي تضل المقابل الزاوية هذه
+
+458
+00:42:44,920 --> 00:42:50,180
+اي والزاوية هذه بي والزاوية هذه سي
+
+459
+00:42:52,740 --> 00:42:56,460
+الـ A بيكون مقابلة الـ A والـ C مقابلة الـ C والـ
+
+460
+00:42:56,460 --> 00:43:02,100
+Z يكون مقابلة الـ B نفس الكلام طيب هذا القانون A
+
+461
+00:43:02,100 --> 00:43:10,140
+تربيع تساوي B تربيع زائد C تربيع ناقص اتنين BC في
+
+462
+00:43:10,140 --> 00:43:15,600
+كزاين الـ A كزاين الـ A كده؟ صفر كزاين التسعين
+
+463
+00:43:15,600 --> 00:43:17,780
+كزاين التسعين صفر
+
+464
+00:43:22,480 --> 00:43:27,240
+بس هذا المثلث قائم الزاوية وهذا المثلث غير قائم
+
+465
+00:43:27,240 --> 00:43:31,740
+الزاوية يعني الآن لما بدي أقولك بدي ايه تربيع هان
+
+466
+00:43:31,740 --> 00:43:41,180
+هذا أهم ايه تربيته ساوي B تربيع زائد C تربيع ناقص
+
+467
+00:43:41,180 --> 00:43:47,340
+اتنين ايه او عفوا اتنين BC في cosine الزاوية
+
+468
+00:43:47,340 --> 00:43:51,870
+المقابلة ونفس الكلاممع كل الأضواء اللي موجودة
+
+469
+00:43:51,870 --> 00:43:54,330
+عندها يعني الآن
+
+470
+00:43:58,610 --> 00:44:01,650
+بيفرق كثير القانون عن القانون السابق طب استخدم
+
+471
+00:44:01,650 --> 00:44:03,890
+القانون السابق ولا استخدم هذا يعني عشان أجيب ..
+
+472
+00:44:03,890 --> 00:44:09,450
+اللي بدك هي .. هم .. هم بيعتمد على .. تجيب الأضواع
+
+473
+00:44:09,450 --> 00:44:13,750
+أكتر من بيعتمد على ratio مظهر؟ بيعتمد على الأضواع
+
+474
+00:44:13,750 --> 00:44:16,830
+عشان تجيب قياس الزوايا أو لعكس أكتر من بيعتمد على
+
+475
+00:44:16,830 --> 00:44:21,450
+ال ratio ماتنساش برضه إنه هادي ratio لكن كان غير
+
+476
+00:44:21,450 --> 00:44:28,020
+أتمد على المسبر جالكي A على signالـ A بيبقى تساوي
+
+477
+00:44:28,020 --> 00:44:32,920
+الـ B على الـ B يساوي الـ C على الـ C يساوي الـ C
+
+478
+00:44:32,920 --> 00:44:34,720
+على الـ C يساوي الـ C على الـ C يساوي الـ C على
+
+479
+00:44:34,720 --> 00:44:36,640
+الـ C يساوي الـ C على الـ C يساوي الـ C على الـ C
+
+480
+00:44:36,640 --> 00:44:37,020
+يساوي الـ C على الـ C يساوي الـ C على الـ C يساوي
+
+481
+00:44:37,020 --> 00:44:39,460
+الـ C على الـ C يساوي الـ C على الـ C يساوي الـ C
+
+482
+00:44:39,460 --> 00:44:41,200
+على الـ C يساوي الـ C على الـ C يساوي الـ C على
+
+483
+00:44:41,200 --> 00:44:43,280
+الـ C يساوي الـ C على الـ C يساوي الـ C على الـ C
+
+484
+00:44:43,280 --> 00:44:45,700
+يساوي الـ C على الـ C يساوي الـ C على الـ C يساوي
+
+485
+00:44:45,700 --> 00:44:48,680
+الـ C على الـ C يساوي الـ C
+
+486
+00:44:51,530 --> 00:44:55,990
+الـ A بدأ يتساوي بي في Cos C لاحظ الزاوية اللي
+
+487
+00:44:55,990 --> 00:44:59,270
+اعتمد عليها في الأول يا شباب و الدلع المقابل
+
+488
+00:44:59,270 --> 00:45:05,210
+تباعتها يعني التلت قوانين الأولى عشان تتذكرهم تلت
+
+489
+00:45:05,210 --> 00:45:10,510
+قوانين الأولى عشان تتذكرهم بسهولةقال لك مربع الدلع
+
+490
+00:45:10,510 --> 00:45:17,510
+يساوي مربعات الأضواء المختلفة الباقية ناقص ضرب
+
+491
+00:45:17,510 --> 00:45:21,270
+المربعين او ضرب المربعين المختلفين في الـcos
+
+492
+00:45:21,270 --> 00:45:28,130
+الزاوية المقابلة لكن هنا يحجب الـA بدلالة الزاوية
+
+493
+00:45:28,130 --> 00:45:33,570
+التانية اللي هي اليمين بي و سي بيستخدم الـA قال لك
+
+494
+00:45:33,570 --> 00:45:37,510
+الـA بيتساوي بي في كزاين C زي كزاين أو C في كزاين
+
+495
+00:45:37,510 --> 00:45:45,880
+بيلاحظ عكس جالك ال B مع كزاين ال C الزاوية
+
+496
+00:45:45,880 --> 00:45:52,980
+المجاورة و جالك ال C مع كزاين الزاوية المجاورة
+
+497
+00:45:52,980 --> 00:45:59,940
+وبالتالي ايه تساوي B كزاين C زائد C في كزاين ال B
+
+498
+00:45:59,940 --> 00:46:02,280
+وهكذا مع باقي الأضلاع
+
+499
+00:46:05,370 --> 00:46:09,230
+حسب طبيعة المعطيات اللى موجودة لك يعني سؤال
+
+500
+00:46:09,230 --> 00:46:15,110
+الموضوع هذا واضح جدا هو اوجد المجاهيم اللى فى
+
+501
+00:46:15,110 --> 00:46:19,170
+المثلث اوجد المجاهيم المجاهيم اللى فى المثلث
+
+502
+00:46:19,170 --> 00:46:26,550
+استخدم الصين ولا الكزاين انت انش المعطل اللى عندك
+
+503
+00:46:26,550 --> 00:46:31,790
+هو اللى بساعدك بشكل اكثر ايش تستخدم و تمشي في عند
+
+504
+00:46:31,790 --> 00:46:34,270
+ال compound angle
+
+505
+00:46:35,610 --> 00:46:41,870
+أيش ال compound angle؟ يعني الزاوية المركبة طيب
+
+506
+00:46:41,870 --> 00:46:46,810
+هلقيت لو أنا جيت سؤال تقعد قلتلك sign التسعين ايش
+
+507
+00:46:46,810 --> 00:46:53,270
+بتساوي شباب؟ sign التسعين تساوي واحد طيب طب مش هي
+
+508
+00:46:53,270 --> 00:46:59,510
+نفسها عبارة عن sign التلاتين زائد sign الستين؟ مش
+
+509
+00:46:59,510 --> 00:47:04,530
+هدهيك نفسها؟ sign التلاتين زائد ستين؟مصبوط لكن لو
+
+510
+00:47:04,530 --> 00:47:11,650
+انا بالوضع التقليدي الخالص ساين التلاتين نص و ساين
+
+511
+00:47:11,650 --> 00:47:20,190
+الستين بجموعهم مش واحد اللي بيحكم ال addition و ال
+
+512
+00:47:20,190 --> 00:47:23,910
+subtraction في موضوع الزوايا القوانين اللي موجودة
+
+513
+00:47:23,910 --> 00:47:32,600
+هنا قوانين ال compound angleSin A زائد B تساوي Sin
+
+514
+00:47:32,600 --> 00:47:46,280
+A في Cos B زائد Cos A في Sin B كذلك Sin A ناقص B
+
+515
+00:47:46,280 --> 00:47:55,280
+تساوي Sin A Cos B ناقص Cos A في Sin B انتبه
+
+516
+00:47:55,280 --> 00:48:02,690
+للإشارةنفسها لكن تطلع في الـ Cos Cos A زائد B
+
+517
+00:48:02,690 --> 00:48:13,990
+تساوي Cos A Cos B لاقص Sin A Sin B Cos
+
+518
+00:48:13,990 --> 00:48:22,680
+A لاقص B تساوي Cos A Cos B زائد Sin Aخلّيني
+
+519
+00:48:22,680 --> 00:48:25,160
+أطبّقها على مثال واحد فقط على التسعين درجة مع
+
+520
+00:48:25,160 --> 00:48:28,920
+التلاتين هدول اللي احنا عارفهم بسهولة نحسب قيمهم
+
+521
+00:48:28,920 --> 00:48:36,400
+بشكل سريع الان
+
+522
+00:48:36,400 --> 00:48:45,940
+بدي اطبّق sign تلاتين زائد ستين ايش يساوي يساوي
+
+523
+00:48:45,940 --> 00:48:49,320
+sign تلاتين
+
+524
+00:48:51,250 --> 00:49:01,110
+سبتين زائد كزاين التلاتين ايوة في ساين سبتين ساين
+
+525
+00:49:01,110 --> 00:49:06,870
+التلاتين نص مضروبة فيه كزاين التلاتين كزاين
+
+526
+00:49:06,870 --> 00:49:18,410
+التلاتين نص زائد كزاين التلاتين ايه التلاتين جذر
+
+527
+00:49:18,410 --> 00:49:27,180
+التلاتة على اتنينمضروبة فيه صين الستين جافر
+
+528
+00:49:27,180 --> 00:49:33,780
+التلاتة على اتنين تساوي واحد على اربعة زائد تلاتة
+
+529
+00:49:33,780 --> 00:49:43,000
+على اربعة تساوي واحد، بصبوت؟ بنجين الشباب البست
+
+530
+00:49:43,000 --> 00:49:47,880
+بقى البست والمقال على المقام عند الضربةجدر التلاتة
+
+531
+00:49:47,880 --> 00:49:53,620
+في جدر التلاتة تلاتة واحد في واحد اتنين في اتنين
+
+532
+00:49:53,620 --> 00:49:59,120
+اربعة مات واحد على اربعة زائد تلاتة على اربعة وربع
+
+533
+00:49:59,120 --> 00:50:03,780
+تلات تربعة واحد تعين جربها مع ال cosine بس عند
+
+534
+00:50:03,780 --> 00:50:08,020
+الطريح ونستخدمها تبدع تسعين ناقص التلاتين على سبيل
+
+535
+00:50:08,020 --> 00:50:14,880
+المثال نكتب تحتيها مباشرة مافيش مشكلة الان cosine
+
+536
+00:50:17,160 --> 00:50:25,800
+تلاتين زائد سبتين تساوي
+
+537
+00:50:25,800 --> 00:50:36,140
+كزاين تلاتين كزاين سبتين ناقص ساين التلاتين في
+
+538
+00:50:36,140 --> 00:50:43,020
+ساين السبتين مصبوط؟ حسب القانون اقول لك انتبه
+
+539
+00:50:43,020 --> 00:50:45,320
+للإشارة
+
+540
+00:50:48,960 --> 00:50:57,620
+طيب تساوي كزاين التلاتين شباب جدر التلاتة جدر
+
+541
+00:50:57,620 --> 00:51:04,740
+التلاتة على اتنين كزاين الستين في نص ناقص ساين
+
+542
+00:51:04,740 --> 00:51:09,220
+التلاتين نص تساوي
+
+543
+00:51:13,000 --> 00:51:17,860
+جدر التلاتة على أربعة ناقص جدر التلاتة على أربعة
+
+544
+00:51:17,860 --> 00:51:27,340
+تساوي اللي هي سائل كزاين التسعين بصبوط
+
+545
+00:51:27,340 --> 00:51:30,520
+في
+
+546
+00:51:30,520 --> 00:51:36,540
+بعض الناس على الآخر الأمور تمام ولا قاعدين تهجلش
+
+547
+00:51:36,540 --> 00:51:43,490
+تمام ان شاء اللهما هي نفس الكلام الان ايش ال 10؟
+
+548
+00:51:43,490 --> 00:51:47,930
+ايش ال 10؟ هي عبارة عن ال sign على ال cosine يعني
+
+549
+00:51:47,930 --> 00:51:55,090
+بدك تاخد القانون اللي فوق على اللي تحت ولا حاجة
+
+550
+00:51:55,090 --> 00:52:00,810
+هتختلف، هيا نعم؟ بس طبيعي بيبقى يختصوا عشان يقولك
+
+551
+00:52:00,810 --> 00:52:06,090
+هايها في الآخر بس في فعليا كمان مرة ما تنساش الان
+
+552
+00:52:06,090 --> 00:52:15,470
+اذن الله بسأل الشباب sign عفواTen X زائد Y طب مش
+
+553
+00:52:15,470 --> 00:52:24,370
+هذه تساوي Sine X زائد Y على Cos X زائد Y وهذه
+
+554
+00:52:24,370 --> 00:52:27,970
+تساوي Sine
+
+555
+00:52:27,970 --> 00:52:43,200
+X Cos Y زائد Cos X Sine Ycos x cos y ناقص sin x
+
+556
+00:52:43,200 --> 00:52:49,820
+sin y خلاص
+
+557
+00:52:49,820 --> 00:52:56,100
+حلت المثال كيف تتصرف الشكل هذا بكتب ايش في مجلة
+
+558
+00:52:56,100 --> 00:53:01,340
+اخوك عاملة مشترك يا صاحبي لجل عامل مشترك لجل عامل
+
+559
+00:53:01,340 --> 00:53:04,520
+مشترك في مجلة اخوك عامل مشترك في البصرة في المقام
+
+560
+00:53:04,520 --> 00:53:12,000
+لأ مافيش حرارة عليك يا راجلطيب، الآن كذلك هدول
+
+561
+00:53:12,000 --> 00:53:17,000
+خصّات عملية الجمع و الطرح مع الزوايا خصّات عملية
+
+562
+00:53:17,000 --> 00:53:21,440
+الجمع و الطرح مع الزوايا طب، شو اللي بقى الدرب؟
+
+563
+00:53:21,440 --> 00:53:26,060
+نفس الكلام لما
+
+564
+00:53:26,060 --> 00:53:34,320
+أنا باجي بقول sin 2θ يعني الدعف الزاويةيساوي اتنين
+
+565
+00:53:34,320 --> 00:53:38,120
+في صين ثيتا كزاين ثيتا تعالى نجربها على سبيل
+
+566
+00:53:38,120 --> 00:53:45,940
+المثال صين اتنين في تلاتين مش اتنين ثيتا هذا تساوي
+
+567
+00:53:45,940 --> 00:53:56,540
+اتنين في صين التلاتين كزاين التلاتين تساوي اتنين
+
+568
+00:53:56,540 --> 00:54:08,670
+في نصبقى جدر التلاتة على اتنين بصبوط تساوي
+
+569
+00:54:08,670 --> 00:54:13,610
+جدر التلاتة على اتنين اللي هي تساوي ساين الستين
+
+570
+00:54:13,610 --> 00:54:23,270
+طيب القوانين اللي هي شباب بدها حفظ حفظها كلها جدر
+
+571
+00:54:23,270 --> 00:54:29,320
+مابتقدر لأ نصها بقول اه موجودة في ال slidesعلى جدر
+
+572
+00:54:29,320 --> 00:54:32,880
+وانت بدك علامات بدك تحفظ او تحاول تحفظ من القوانين
+
+573
+00:54:32,880 --> 00:54:36,320
+هاي سابقا
+
+574
+00:54:36,320 --> 00:54:40,660
+او العام الماضي .. العام الماضي روحت جيبت شيط حطيت
+
+575
+00:54:40,660 --> 00:54:45,040
+فيها كل القوانين .. كل القوانين قولتله استخدم
+
+576
+00:54:45,040 --> 00:54:49,220
+القوانين اللي بدك هيها فنهيتش بس طبعا بدون
+
+577
+00:54:49,220 --> 00:54:55,600
+العناوين و بدون الترتيب هذا القوانين جايشالمهم من
+
+578
+00:54:55,600 --> 00:54:58,820
+الفكرة ان هي موجودة عندك اذا انت والله عارف ايش
+
+579
+00:54:58,820 --> 00:55:04,040
+بدها ماتها يرجعك مش عارف راحت عليك طيب الان اخر
+
+580
+00:55:04,040 --> 00:55:10,940
+slide في ال chapter الها علاقة بمحيط المثلث مساحة
+
+581
+00:55:10,940 --> 00:55:15,660
+المثلث كام يا شباب مساحة المثلث نصف القاعدة
+
+582
+00:55:15,660 --> 00:55:23,160
+بالارتفاع محيط المثلث مجموعات واحد تمام؟ طيبيعني
+
+583
+00:55:23,160 --> 00:55:27,700
+لو انا دي اتسألت كان المُثلَف أضلاع أو A, B, C
+
+584
+00:55:27,700 --> 00:55:36,260
+المحيط المُثلَف الـ B نيتر تساوي A زائد B زائد C
+
+585
+00:55:36,260 --> 00:55:41,120
+طيب
+
+586
+00:55:41,120 --> 00:55:47,940
+الان عند
+
+587
+00:55:47,940 --> 00:55:48,360
+ال S
+
+588
+00:55:51,320 --> 00:55:57,100
+بتتساوي نص المحيط ال S بتتساوي نص المحيط و لا لأ
+
+589
+00:55:57,100 --> 00:56:02,940
+حسب الحسبة هاي احنا قلنا محيط المثلث A زائد B زائد
+
+590
+00:56:02,940 --> 00:56:07,640
+Z لما انا بدرمه كله في نص محتاج اتكلم عن نص محيط
+
+591
+00:56:07,640 --> 00:56:16,100
+المثلث هذه القوانين شايفهم اعتمدت على نص المحيط
+
+592
+00:56:21,060 --> 00:56:32,200
+الفكرة فيها sign a على 2 تساوي الجذر التربيعي ل S
+
+593
+00:56:32,200 --> 00:56:41,120
+ناقص B مضروبة في S ناقص C على D ضرب Cكله مش تتم
+
+594
+00:56:41,120 --> 00:56:46,780
+القانون اللي عامل في ظهر قبل شوية معانا بس الان
+
+595
+00:56:46,780 --> 00:56:50,580
+الاس هي عبارة عن نص المحيط هو حاول يوجد علاقة ما
+
+596
+00:56:50,580 --> 00:56:55,200
+بين الأطلاع و الزاوية و نص المحيط لكن ماتنساش ان
+
+597
+00:56:55,200 --> 00:57:00,620
+هو فعليا كمان بتتكلم على نص الزاوية بطل يتكلم على
+
+598
+00:57:00,620 --> 00:57:05,900
+الزاوية كلها، بصبت؟ صار بتتكلم على نص الزاوية لأنه
+
+599
+00:57:05,900 --> 00:57:07,320
+بدأ يتكلم على نص المحيط
+
+600
+00:57:10,360 --> 00:57:12,880
+خلاص، في حد عنده أي سؤال، وعطي كلها للشباب
+
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/hvti4JFQCF0.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/hvti4JFQCF0.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9ce7270d16395be9d93263e1b55dda2af32a5541
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/hvti4JFQCF0.srt
@@ -0,0 +1,2903 @@
+1
+00:00:21,280 --> 00:00:23,500
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:23,500 --> 00:00:26,800
+أهلا وسهلا بكم يا شباب و حضراتنا الثانية في مادة
+
+3
+00:00:26,800 --> 00:00:31,000
+رياضيات للوسائط المتعددة أو بشكل أدق Mathematics 
+
+4
+00:00:31,000 --> 00:00:35,000
+for Computer Graphics واليوم هنتكلم على أول 
+
+5
+00:00:35,000 --> 00:00:39,310
+Chapter عملي فعليا إيه لنا في المادة لكن في ترتيب
+
+6
+00:00:39,310 --> 00:00:43,530
+الكتاب عشان ما تتخربطش الكتاب مرتبط بالـ Chapter الثاني
+
+7
+00:00:43,530 --> 00:00:46,790
+الـ Chapter الأول بيحاول يجاوب على بعض الشغلات شو يعني
+
+8
+00:00:46,790 --> 00:00:49,510
+هل الرياضيات صعبة مش صعبة احنا إيش بدنا في الكتاب 
+
+9
+00:00:49,510 --> 00:00:54,310
+الرموز بعض الرموز الرياضية معرفها احنا كل رمز 
+
+10
+00:00:54,310 --> 00:00:57,690
+لحينه بنستخدمه بنطلق عليه اسمه إن شاء الله مباشرة 
+
+11
+00:00:57,690 --> 00:01:02,530
+هندخل في المواضيع البسيطة وطبعا أول موضوع اليوم
+
+12
+00:01:02,530 --> 00:01:07,170
+عندنا زي ما حكينا هو موضوع الـ Numbers الأعداد إيش
+
+13
+00:01:07,170 --> 00:01:13,510
+الأعداد يا شباب؟ أعداد من كتر ما هي Trivial وبسيطة
+
+14
+00:01:13,510 --> 00:01:17,870
+أو أساسية في حياتنا، تمام؟ أصبحنا ما نقدرش نتكلم
+
+15
+00:01:17,870 --> 00:01:22,250
+فعليا، ما نقدرش نجيب لها تعريف ثابت وواضح، شو هي 
+
+16
+00:01:22,250 --> 00:01:26,530
+الأعداد، مصبوط؟ يعني إذا أنت بتقول لي اللي هي
+
+17
+00:01:26,530 --> 00:01:28,030
+الأرقام من صفر للتسعة
+
+18
+00:01:30,820 --> 00:01:33,800
+أنت ما جبتش الـ .. هي أنت بتتكلم عن الـ Digit هي 
+
+19
+00:01:33,800 --> 00:01:36,820
+الرموز اللي من صفر لتسعة وبكتب فيها عشان أمثل 
+
+20
+00:01:36,820 --> 00:01:42,180
+Quantity أو كمية معينة تمام؟ وأنا لو أنا كمان مرة
+
+21
+00:01:42,180 --> 00:01:45,320
+سألتني إيش يعني رقم أو إيش يعني عدد فعليا هتحس
+
+22
+00:01:45,320 --> 00:01:50,480
+حالك إنك أنت يعني إيش الهواء؟ شو يعني هواء؟ شو
+
+23
+00:01:50,480 --> 00:01:54,920
+يعني مية؟ مصبوط؟ هذه أصبحت من البديهيات في حياتنا
+
+24
+00:01:55,660 --> 00:02:00,520
+وهنشوف اليوم مع بعض تفصيلات كثيرة للأعداد أو جدولة 
+
+25
+00:02:00,520 --> 00:02:05,240
+تعريف الرياضيات عشان إما يسهلوا الأمور اللي بدهم
+
+26
+00:02:05,240 --> 00:02:09,040
+يشتغلوا عليها أو عشان يوضحوا شغلة معينة هنشوف من
+
+27
+00:02:09,040 --> 00:02:12,660
+الأعداد الطبيعية والأعداد الصحيحة للأعداد الأولية
+
+28
+00:02:12,660 --> 00:02:17,620
+الأعداد النسبية الغير نسبية للأعداد الحقيقية
+
+29
+00:02:17,620 --> 00:02:21,960
+والتخيلية والأعداد المركبة وكل واحد هنشوفه إن شاء
+
+30
+00:02:21,960 --> 00:02:30,610
+الله ضمن الموجود بشكل أساسي الـ Visual Cortex في
+
+31
+00:02:30,610 --> 00:02:35,550
+الدماغ أو القشرة البصرية اللي في الدماغ بتشتغل على 
+
+32
+00:02:35,550 --> 00:02:39,210
+العدد بشكل تلقائي عشان هيك بيقول لك العدد بشكل بديهي
+
+33
+00:02:39,210 --> 00:02:43,710
+لو أتينا يا شباب لطفل، تمام؟ صغير، خلنا نقول
+
+34
+00:02:43,710 --> 00:02:47,970
+سنتين، يعني دوبه بيجف على رجليه، دوبه بيعرف يأكل،
+
+35
+00:02:47,970 --> 00:02:55,610
+تمام؟ وروحنا أخذنا حبتين شوكولاتة، أديناهم إياه ودينا
+
+36
+00:02:55,610 --> 00:03:01,350
+أخوه أو جاره أو كذا تلاتة أو أربعة الفكرة إن أنا
+
+37
+00:03:01,350 --> 00:03:05,590
+بدي أدي واحد منهم أكثر من الثاني شوكولاتة هل الصغير
+
+38
+00:03:05,590 --> 00:03:08,590
+هذا اللي أخذ اثنتين هيشعر بالغيرة لأن كمية الاثنتين
+
+39
+00:03:08,590 --> 00:03:13,480
+بإيديه أقل ولا شوكولاتة؟ وهذا بأكد على إن مفهوم
+
+40
+00:03:13,480 --> 00:03:19,280
+الأعداد بديهي وبديهي جدا وهتلاحظ أو هيكون سلوك
+
+41
+00:03:19,280 --> 00:03:22,940
+الطفل إنه هيحاول ياخذ منه أو هيطلب منك المزيد ولو
+
+42
+00:03:22,940 --> 00:03:26,320
+لسانه طويل شوية هيقول لك معنى هو أكثر مني أخذ وهذا
+
+43
+00:03:26,320 --> 00:03:29,780
+كلام طبيعي جدا عشان هيك موضوع الأعداد بالنسبة لنا
+
+44
+00:03:29,780 --> 00:03:33,200
+طبيعي جدا وكثير من الأحيان تكون تلاقي في بعض
+
+45
+00:03:33,200 --> 00:03:37,340
+الناس المهارة هذه أو القدرة تتطور بشكل كبير جدا ممكن 
+
+46
+00:03:37,340 --> 00:03:41,070
+يتطلع في المجموعة بشكل بسيط هيك بدون ما يعد بيجيب
+
+47
+00:03:41,070 --> 00:03:45,530
+ويقول لك والله الموجودين الخمسين كل 
+
+48
+00:03:45,530 --> 00:03:49,050
+Plus Minus لكن الـ .. الـ .. الـ .. نسبة الخطأ قليلة
+
+49
+00:03:49,050 --> 00:03:54,540
+جدا تمام بعد هيك لما بدنا نروح للروضة أو البستان و
+
+50
+00:03:54,540 --> 00:03:58,260
+بدنا نتكلم شوية بدوا الوالدين الله يرضى عنهم و
+
+51
+00:03:58,260 --> 00:04:01,100
+يختم لهم بالخير أو يرحمهم لو كانوا متوفين أو واحد
+
+52
+00:04:01,100 --> 00:04:04,480
+منهم بدوا يعلمون يعد واحد اثنين احنا في الأول 
+
+53
+00:04:04,480 --> 00:04:07,640
+بنعرف الكمية هذه أقل من هذه وبنقدر نقارنها لكن
+
+54
+00:04:07,640 --> 00:04:11,960
+بدنا نبعد شوية نعد واحد اثنين تلاتة وكل ما نتذكر
+
+55
+00:04:11,960 --> 00:04:16,570
+واحد تلاتة نعد على صابعك عشان ما تنساش مصدر ولا لأ
+
+56
+00:04:16,570 --> 00:04:19,810
+وهذه فعليا بدت معاني الأعداد تتبع معاني العقل 
+
+57
+00:04:19,810 --> 00:04:23,210
+الأعداد بغض النظر روحت جامعة روحت مدرسة أو ما
+
+58
+00:04:23,210 --> 00:04:27,690
+روحتش الكل بيعرف يعد وبنبدأ نربطها بالأشياء اللي
+
+59
+00:04:27,690 --> 00:04:34,630
+احنا بنعدها تمام الآن مجموعات الأعداد اللي هي مدخل 
+
+60
+00:04:34,630 --> 00:04:38,050
+أو الشغل الرئيسي اللي هيكون عندنا اليوم هي عبارة
+
+61
+00:04:38,050 --> 00:04:43,460
+عن Collection المجموعة بشكل عام مجموعة Collection 
+
+62
+00:04:43,460 --> 00:04:45,900
+of Arbitrary Objects مجموعة من الأشياء، إيش ما
+
+63
+00:04:45,900 --> 00:04:49,420
+كانت الأشياء؟ مجموعة من الجلام، مجموعة من الكتب،
+
+64
+00:04:49,420 --> 00:04:51,640
+مجموعة من الطلاب، مجموعة من السيارات، مجموعة من
+
+65
+00:04:51,640 --> 00:04:56,960
+المباني، بس بينفعش .. بينفعش أجي أقول مجموعة فيها
+
+66
+00:04:56,960 --> 00:04:59,640
+جلم وسيارة وشنطة و .. إيه الجلم اللي عايز يقول؟
+
+67
+00:04:59,640 --> 00:05:04,180
+والله فيه عنده مجموعة أدوات مدرسية، تمام؟ بيصير في 
+
+68
+00:05:04,180 --> 00:05:08,280
+.. لكن الـ Objects هذه وإن كانت Arbitrary، تمام؟
+
+69
+00:05:08,280 --> 00:05:11,240
+المفهوم الـ Arbitrary إن هم مش جايات زي بعض أو 
+
+70
+00:05:11,240 --> 00:05:16,630
+Typical بس فيه فيه تشابه ما بين العناصر وعناصر
+
+71
+00:05:16,630 --> 00:05:20,650
+المجموعة بنسميهم إما Members أو الـ Elements على
+
+72
+00:05:20,650 --> 00:05:23,750
+سبيل المثال بقول Set of My Books مجموعة الكتب
+
+73
+00:05:23,750 --> 00:05:28,090
+تبعك أنت تخيل يا شباب لو كان في عندك عشر نسخ من
+
+74
+00:05:28,090 --> 00:05:33,390
+نفس الكتاب عشر نسخ من نفس الكتاب تقدر تقول إن عندي 
+
+75
+00:05:33,390 --> 00:05:37,210
+مجموعة كتب لهو كتاب واحد اللي عندك أو بتقدر تقول 
+
+76
+00:05:37,210 --> 00:05:40,110
+في عندي مجموعة كتب لكن فيها كتاب واحد لأن عشان 
+
+77
+00:05:40,110 --> 00:05:45,470
+تكون دقيق صحيح مجموعة الأعداد الطبيعية مجموعة 
+
+78
+00:05:45,470 --> 00:05:47,690
+الأعداد الطبيعية اللي احنا بنعرفها من الصغر اللي
+
+79
+00:05:47,690 --> 00:05:51,010
+عامة اللي بنتكلم عليها لما أنا بدأت أعد ما كانوش 
+
+80
+00:05:51,010 --> 00:05:53,890
+يقولوا لي عد من الصفر أو ما كانوش يقولوا لي عد من
+
+81
+00:05:53,890 --> 00:05:58,090
+السالب واحد تبدأ العد من الواحد بفعلية من الواحد
+
+82
+00:05:58,090 --> 00:06:01,930
+لأنه ما قبل الواحد ما فيش شيء ما فيش شيء ملموس حتى 
+
+83
+00:06:01,930 --> 00:06:05,650
+عشان أنا أقدر أميزه من الصغير أما أخذت حبة شوكولاتة
+
+84
+00:06:05,650 --> 00:06:10,370
+أو ما أخذتهاش وبالتالي الـ Natural Number من هنا جاء 
+
+85
+00:06:10,370 --> 00:06:14,010
+اسمها الأعداد الطبيعية اللي هي موجودة على طبيعة 
+
+86
+00:06:14,010 --> 00:06:19,610
+الإنسان وسجيته والفطرة اللي موجود عليها بعد ذلك 
+
+87
+00:06:19,610 --> 00:06:24,790
+يا شباب بدل صنفها في الأعداد ومضمومة ضمن مجموعات
+
+88
+00:06:25,980 --> 00:06:28,880
+عشان يصير Connection و Related زي ما قلنا قبل 
+
+89
+00:06:28,880 --> 00:06:34,380
+شوية بشكل أو بآخر مثل مجموعة الأعداد الحقيقية 
+
+90
+00:06:34,380 --> 00:06:38,560
+مجموعة الأعداد الصحيحة مجموعة الأعداد الطبيعية و
+
+91
+00:06:38,560 --> 00:06:42,760
+كل مجموعة من الأعداد هي لها صفة معينة كل مجموعة من
+
+92
+00:06:42,760 --> 00:06:45,380
+الأعداد لها صفة معينة 
+
+93
+00:06:49,170 --> 00:06:53,650
+في عندنا مبدأ اسمه Set Theory نظرية المجموعات
+
+94
+00:06:53,650 --> 00:06:58,830
+نظرية المجموعات هي عبارة عن مبدأ منطقي جدا بيتكلم 
+
+95
+00:06:58,830 --> 00:07:02,690
+على المجموعات لما أنا بأجي أقول إن في عندي مجموعة
+
+96
+00:07:02,690 --> 00:07:06,130
+مجموعة 
+
+97
+00:07:06,130 --> 00:07:12,110
+من الأقلام مجموعة من أقلام اللوح تمام؟ 
+
+98
+00:07:12,110 --> 00:07:18,840
+أخضر وأزرق وأحمر مين الأخضر حدث؟ يعني الكلام اللي 
+
+99
+00:07:18,840 --> 00:07:23,300
+أنا قلته فيه غلط ولا لا؟ ليش؟ لأنه فعليا الأخضر لا
+
+100
+00:07:23,300 --> 00:07:27,660
+ينتمي للمجموعة اللي أنا عندي وبكل بساطة .. بكل 
+
+101
+00:07:27,660 --> 00:07:32,540
+بساطة نظرية المجموعات بتدور حوالين العنصر ينتمي 
+
+102
+00:07:32,540 --> 00:07:35,740
+للمجموعة ولا لا ينتمي بعدين بقول أنا القلم الأخضر
+
+103
+00:07:35,740 --> 00:07:41,440
+ينتمي للمجموعة غلط وبالتالي القلم الأخضر لا ينتمي
+
+104
+00:07:41,440 --> 00:07:45,040
+للمجموعة هذا الكلام صح القلم الأزرق ينتمي إلى 
+
+105
+00:07:45,040 --> 00:07:48,740
+المجموعة صح لو أنا اتكلمت إن أنا في عندي مجموعتين
+
+106
+00:07:48,740 --> 00:07:51,060
+من الأقلام المبدأ الثاني احنا في المبدأ الأول في
+
+107
+00:07:51,060 --> 00:07:54,340
+المجموعة اللي قلنا ينتمي ولا ينتمي المبدأ الثاني
+
+108
+00:07:54,340 --> 00:07:59,420
+في نظرية المجموعات بيتكلم على التقاطع التقاطع بين
+
+109
+00:07:59,420 --> 00:08:03,740
+المجموعتين اليمين واليسار أزرق وأسود مصبوط
+
+110
+00:08:03,740 --> 00:08:06,200
+اثنين الاتحاد
+
+111
+00:08:08,700 --> 00:08:12,380
+الخامسة غلط تكرار العنصر في المجموعة لا يعني شيء 
+
+112
+00:08:12,380 --> 00:08:16,760
+قبل شوية ضربنا لك مثل الكتاب لو كنا فيه عشر كتب أو
+
+113
+00:08:16,760 --> 00:08:22,260
+عشر نسخ من نفس الكتاب واحد وبالتالي هذه المجموعة
+
+114
+00:08:22,260 --> 00:08:29,880
+كم عنصر فيها تلاتة أسود أزرق أحمر طب يا دكتور ما
+
+115
+00:08:29,880 --> 00:08:32,380
+هدول مكررات التكرار لا يعني شيء يا صاحبي أنت لم
+
+116
+00:08:32,380 --> 00:08:36,500
+تقل في أي جديد للمجموعة اللي عندك نرجع مرة ثانية
+
+117
+00:08:37,320 --> 00:08:41,360
+نجرب تقاطع في الأزرق والأسود، أصبعط؟ الاتحاد، 
+
+118
+00:08:41,360 --> 00:08:44,380
+التلاتة هدول، لو كان في أخضر في المجموعة وأصفر
+
+119
+00:08:44,380 --> 00:08:48,300
+High، بيصير بالنفو، ففي الاتحاد بجمع العناصر
+
+120
+00:08:48,300 --> 00:08:54,400
+المختلفة فقط، تمام، طيب، الفرق، المجموعة ألف اللي 
+
+121
+00:08:54,400 --> 00:08:57,460
+في اليسار، بقاشف تفرق في المجموعة باء اللي في 
+
+122
+00:08:57,460 --> 00:09:00,840
+اليمين؟
+
+123
+00:09:00,840 --> 00:09:06,830
+ماشي للحالة، كيكاللي فيها أحمر سميها ألف واللي
+
+124
+00:09:06,830 --> 00:09:11,170
+مافيش فيها الأحمر سميها باء المجموعة ده إيش بتفرج 
+
+125
+00:09:11,170 --> 00:09:14,370
+عن المجموعة ألف؟ فارفعش .. فارفعش .. فارفعش ..
+
+126
+00:09:14,370 --> 00:09:16,210
+فارفعش .. فارفعش .. فارفعش .. فارفعش .. فارفعش ..
+
+127
+00:09:16,210 --> 00:09:18,310
+فارفعش .. فارفعش .. فارفعش .. فارفعش .. فارفعش ..
+
+128
+00:09:18,310 --> 00:09:19,750
+فارفعش .. فارفعش .. فارفعش .. فارفعش .. فارفعش ..
+
+129
+00:09:19,750 --> 00:09:22,950
+فارفعش .. فارفعش .. فارفعش .. فارفعش .. فارفعش ..
+
+130
+00:09:22,950 --> 00:09:28,510
+فارفعش .. فارفعش .. فارفعش .. فارفعش .. فارفعش ..
+
+131
+00:09:28,510 --> 00:09:33,710
+فارفعش 
+
+132
+00:09:34,860 --> 00:09:39,840
+لا لكن لما بأجي بقول المجموعة ألف بتتميز عن
+
+133
+00:09:39,840 --> 00:09:44,240
+المجموعة باء وهالتميز أو الفرق احنا بنسمي الـ 
+
+134
+00:09:44,240 --> 00:09:48,240
+Difference الاختلاف A ناقص الـ B A تختلف عن الـ B
+
+135
+00:09:48,240 --> 00:09:53,240
+بإيش؟ و A ناقص الـ B لا تساوي B ناقص الـ A من نظرية
+
+136
+00:09:53,240 --> 00:09:58,300
+المجموعات كذلك بنتكلم إن عملية الاتحاد عملية
+
+137
+00:09:58,300 --> 00:10:05,660
+إبدالية يعني بتقدر تكتب المجموعتين A اتحاد B يساوي 
+
+138
+00:10:05,660 --> 00:10:20,160
+B اتحاد A A تقاطع الـ B يساوي B تقاطع الـ A A نقص 
+
+139
+00:10:20,160 --> 00:10:26,220
+الـ B لا يساوي الـ B ناقص الـ A إلا لو كانت الاثنتين
+
+140
+00:10:26,220 --> 00:10:27,180
+متساويتان 
+
+141
+00:10:32,190 --> 00:10:39,930
+الكلام اللي بقوله واضح لشباب الحمد لله تمام ترجعوا 
+
+142
+00:10:39,930 --> 00:10:46,450
+مكانكم لما 
+
+143
+00:10:46,450 --> 00:10:53,920
+باجي بتكلم على well-ordered set well-ordered set
+
+144
+00:10:53,920 --> 00:10:59,220
+well-ordered يعني مرتبة مجموعة مرتبة بالمناسبة
+
+145
+00:10:59,220 --> 00:11:05,020
+ترتيب العناصر في المجموعة لا يعني شيء يا شباب أزرق
+
+146
+00:11:05,020 --> 00:11:11,820
+أسود أحمر أسود أحمر أزرق لو أنا دي أسألتك قداش عدد
+
+147
+00:11:11,820 --> 00:11:20,680
+العناصر تلاتة ترتيب زاد شي أو وير شيتمام الان في
+
+148
+00:11:20,680 --> 00:11:23,460
+الـ well-ordered set هي المجموعات اللي تكون في
+
+149
+00:11:23,460 --> 00:11:32,060
+عندها أو بتتبع ترتيب وحيد حسب الـ natural number
+
+150
+00:11:32,060 --> 00:11:36,380
+حسب الـ natural أو مثل الـ natural number زي الأعداد
+
+151
+00:11:36,380 --> 00:11:43,020
+الآن لو أنا اجيت قلت لك اذكر لي أو مجموعة من الأعداد
+
+152
+00:11:43,020 --> 00:11:47,400
+الأولية من الأعداد عفوا الطبيعية شو هتساوي؟ هتقول لي
+
+153
+00:11:47,400 --> 00:11:52,600
+واحد اثنين تلاتة هقول لك لو يجيب يعمل لنا استفتاء في
+
+154
+00:11:52,600 --> 00:11:56,800
+البشرية كلها الدولة مجموعة أعداد طبيعية مش هتلاقي
+
+155
+00:11:56,800 --> 00:12:00,280
+يقولوا واحد يقولوا واحد خمسة ستة سبعة تسعة لأ
+
+156
+00:12:00,280 --> 00:12:05,500
+هتلاقي أنه فعليا أنت مشيتي بشكل مرتب ليش؟ لأنه
+
+157
+00:12:05,500 --> 00:12:08,720
+فعليا الواحد لها معنى عن الاثنين بتفرج عن الاثنين
+
+158
+00:12:08,720 --> 00:12:13,760
+بصبور و بتفرج عن التلاتة على خلاف هدول بصبورت يعني
+
+159
+00:12:13,760 --> 00:12:17,640
+عناصر المجموعات أو الـ numbers المجموعات الرقمية أو
+
+160
+00:12:17,640 --> 00:12:22,880
+الأرقام أو الأعداد في المجموعات بتفرج أن كل عنصر
+
+161
+00:12:22,880 --> 00:12:28,570
+فيه معنى طيب لو أنا اجيت قلت لك بدي تديني مجموعة من
+
+162
+00:12:28,570 --> 00:12:32,590
+الأعداد الفردية ايش هتساوي؟ هتقول لي؟ هتقول لي
+
+163
+00:12:32,590 --> 00:12:38,270
+واحد و تلاتة و خمسة و سبعة ممتاز لاحظ الترتيب اللي
+
+164
+00:12:38,270 --> 00:12:42,170
+أنت اتكلمت فيه أنا بفهم منه مباشرة أن الواحد هو
+
+165
+00:12:42,170 --> 00:12:49,250
+أول عدد فردي التلاتة ثاني عدد فردي الخمسة ثالث و
+
+166
+00:12:49,250 --> 00:12:54,690
+هكذا لاحظ أنه اتكلمت أنت على well-ordered طيب لو
+
+167
+00:12:54,690 --> 00:13:01,050
+جينا نتكلم على الأعداد الأولية كذلك 2 .. 3 .. 5 ..
+
+168
+00:13:01,050 --> 00:13:08,930
+7 .. 11 .. 13 .. 17 .. 23 .. وضلك ماشي، مصبوط؟ هذه
+
+169
+00:13:08,930 --> 00:13:11,150
+المجموعات اللي موجودة عندها، الأعداد الأولية
+
+170
+00:13:11,150 --> 00:13:15,610
+وبالتالي صرت أنا أتكلم في معنى نظرية الأعداد أو في
+
+171
+00:13:15,610 --> 00:13:20,160
+الـ well-ordered set numbers صرت بتكلم على منزلة،
+
+172
+00:13:20,160 --> 00:13:24,220
+قيمة الرقم هذا كده؟ أول رقم مين في المجموعة؟ ثاني 
+
+173
+00:13:24,220 --> 00:13:27,360
+رقم مين؟ أنت صارت تفرج معايا الأمور، قبل شوية لما
+
+174
+00:13:27,360 --> 00:13:31,660
+اتكلمت عن مجموعة الأجلام وألوانهم، لا يعني شيء،
+
+175
+00:13:31,660 --> 00:13:36,040
+بس هنا في المجموعات الأرقام، لا الترتيب بصير يعني
+
+176
+00:13:36,040 --> 00:13:39,000
+أنا بعرف منه العدد الأول والعدد الثاني والعدد
+
+177
+00:13:39,000 --> 00:13:44,940
+الثالث، وعشان هيك لو أنا بجيت سألتك ايش ثالث عدد
+
+178
+00:13:44,940 --> 00:13:50,690
+أولي؟ مباشرة هتبدأ تعمل الـ processing وتديني الجواب
+
+179
+00:13:50,690 --> 00:13:56,730
+هو الصح خمسة لأنه الاثنين عدد أول اثنين تلاتة خمسة
+
+180
+00:13:56,730 --> 00:14:01,070
+وبالتالي ثالث عدد لاحظت قلت لك أنا ثالث دليل على أن
+
+181
+00:14:01,070 --> 00:14:06,490
+المجموعة مرتبة والترتيب صار يهمني لو اجيت سألتك
+
+182
+00:14:06,490 --> 00:14:12,090
+ايش خامس عدد زوجي في الأعداد الصحيحة العشرة العشرة
+
+183
+00:14:12,090 --> 00:14:18,400
+وهكذا صارت عندي الأعداد well-ordered أمور واضحة يا
+
+184
+00:14:18,400 --> 00:14:24,680
+شباب؟ تمام؟ في حد عنده أي سؤال؟ ولا نمشي خطوة؟
+
+185
+00:14:24,680 --> 00:14:28,160
+تمام بما أن أنا صرت بتكلم على الـ well-ordered
+
+186
+00:14:28,160 --> 00:14:32,160
+والترتيب الأساسي اللي عندي اللي أنا اتعلمت وأنا
+
+187
+00:14:32,160 --> 00:14:36,520
+صغير أو اجا معايا بالفترة اللي هو العداد الطبيعية
+
+188
+00:14:36,520 --> 00:14:40,540
+فصرت إذا بقدر أعمل association بين الـ well-ordered
+
+189
+00:14:40,540 --> 00:14:43,980
+set زي الـ P هذه الأعداد الأولية prime number
+
+190
+00:14:43,980 --> 00:14:46,300
+بالمناسبة P prime
+
+191
+00:14:53,380 --> 00:14:59,000
+عدد أولي prime number تمام فخلاص وين ما تسمع كلمة
+
+192
+00:14:59,000 --> 00:15:04,640
+prime أنا بتكلم على عدد أولي طب في حد بيتذكر كلمة
+
+193
+00:15:04,640 --> 00:15:07,940
+prime وين ظهرت معانا أو وين مرت عليك في حياتك
+
+194
+00:15:07,940 --> 00:15:15,700
+بعيدا عن الأعداد في الجوالات غيره في الماشي
+
+195
+00:15:15,700 --> 00:15:22,760
+transformers عيني عليكم ما شاء الله تمام وبالتالي
+
+196
+00:15:22,760 --> 00:15:26,960
+أنا الآن بقدر أعمل association ما بين الأعداد
+
+197
+00:15:26,960 --> 00:15:30,200
+الطبيعية لأن هي بتحكي الترتيب الأساسي اللي أنا
+
+198
+00:15:30,200 --> 00:15:33,500
+بعرفه العدد الأول الثاني الثالث الرابع الخامس
+
+199
+00:15:33,500 --> 00:15:37,840
+السادس بالمناسبة مجموعة الأعداد الطبيعية ما ظهرت
+
+200
+00:15:37,840 --> 00:15:43,900
+بالأساس إلا من أجل العد واحد أول عدد أول اثنين
+
+201
+00:15:43,900 --> 00:15:46,980
+وبالتالي لما أصبح أنا بقول هاي واحد هاي اثنين هاي
+
+202
+00:15:46,980 --> 00:15:51,160
+تلاتة هاي أربعة هاي خمسة بتكلم عن الترتيب ستة سبعة
+
+203
+00:15:51,160 --> 00:15:57,840
+ثمانية تسعة عشرة أحد عشر اثنا عشر تلاتة عشر أكمل لو
+
+204
+00:15:57,840 --> 00:16:04,400
+أنا جيت سألتك ايش العدد اللي أول العاشر تسعة
+
+205
+00:16:04,400 --> 00:16:06,220
+وعشرين عفوا تسعة وعشرين
+
+206
+00:16:11,690 --> 00:16:16,010
+وبالتالي قلنا بنؤكد على معلومة أن الأعداد أو نظرية
+
+207
+00:16:16,010 --> 00:16:20,590
+مجموعات الأعداد الترتيب فيها له معنى بالنسبة لنا
+
+208
+00:16:20,590 --> 00:16:24,950
+تمام الشغل الثاني اللي أنا بستفيده من المعنى يا
+
+209
+00:16:24,950 --> 00:16:31,170
+شباب من معنى الترتيب أو من الترتيب أن أنا فعليا
+
+210
+00:16:31,170 --> 00:16:38,990
+في الأعداد الطبيعية الفرق بين كل عنصر والثاني واحد
+
+211
+00:16:38,990 --> 00:16:40,170
+يعني الآن
+
+212
+00:16:44,670 --> 00:16:49,350
+لو أنا افترضت أن أنا في MD المصفوفة هذه أو الصندوق
+
+213
+00:16:49,350 --> 00:16:52,430
+هذا اللي فيه مجموعة من المنازل و بده رقمه من
+
+214
+00:16:52,430 --> 00:16:56,070
+الشمال طبيعي
+
+215
+00:16:56,070 --> 00:17:00,690
+أكيد عداد طبيعي واحد اثنين الفرق من اثنين وواحد
+
+216
+00:17:00,690 --> 00:17:04,710
+قداش تلاتة
+
+217
+00:17:04,710 --> 00:17:08,030
+مظبوط
+
+218
+00:17:08,030 --> 00:17:11,270
+برضه
+
+219
+00:17:11,270 --> 00:17:16,830
+واحد خمسة واحد وستة واحد وواحد وبالتالي صارت الـ
+
+220
+00:17:16,830 --> 00:17:21,550
+sequence هي فعليا اللي بدأنا عليها من البداية واحد
+
+221
+00:17:21,550 --> 00:17:25,830
+اثنين تلاتة تتذكر دائما الـ association ما بين
+
+222
+00:17:25,830 --> 00:17:31,190
+العناصر فعملية الترتيب وترتاب العناصر خطرت أو
+
+223
+00:17:31,190 --> 00:17:35,650
+صار في عندي أساس لعملية الجمع صار عندي ظهر أساس
+
+224
+00:17:35,650 --> 00:17:40,070
+عملية الجمع الفرق بين العنصر الأول والثاني واحد
+
+225
+00:17:40,070 --> 00:17:46,020
+الأمر في عندي مجموعة فيها جلم صار فيها اثنين قداش
+
+226
+00:17:46,020 --> 00:17:51,240
+الفرق بينما كانت أول واحد صار فيها تلاتة الآن برضه
+
+227
+00:17:51,240 --> 00:17:55,460
+واحد وكل ما بضيف أنا add كل ما بضيف on sort هي
+
+228
+00:17:55,460 --> 00:18:00,080
+واحدة صار اثنين طب ممتاز لو أنا بدي أضيف اثنين على
+
+229
+00:18:00,080 --> 00:18:02,920
+المجموعة مرة واحدة المجموعة فيها واحد الآن بدي
+
+230
+00:18:02,920 --> 00:18:08,740
+أضيف فيها اثنين طب ما هي اثنين أساسا واحد زائد
+
+231
+00:18:08,740 --> 00:18:14,200
+واحد ولا لأ؟ وبالتالي صار في عندي مبدأ اليساوي أو
+
+232
+00:18:14,200 --> 00:18:19,540
+المساواة ومبدأ الجامع كان أساسه المجموعات و
+
+233
+00:18:19,540 --> 00:18:22,620
+الفرقات في المجموعات اللي موجودة عندي زيادة
+
+234
+00:18:22,620 --> 00:18:26,480
+العناصر في المجموعة زيادة العناصر في المجموعة اللي
+
+235
+00:18:26,480 --> 00:18:30,200
+أنا بدي أقوله بكل بساطة كمان مرة بعد ما صار في
+
+236
+00:18:30,200 --> 00:18:34,220
+عندي positional association في الـ mathematics صار
+
+237
+00:18:34,220 --> 00:18:38,240
+الـ position الأول، الثاني، الثالث، الرابع والفرق
+
+238
+00:18:38,240 --> 00:18:41,900
+بين الأول وبين الثاني واحد أو الفرق بين كل اثنين
+
+239
+00:18:41,900 --> 00:18:47,700
+متتالين كان واحد هذا قدم إلينا للناس طبعا الشغل
+
+240
+00:18:47,700 --> 00:18:51,780
+في الرياضيات من قبلنا مبدأ عملية الجمع اللي هو
+
+241
+00:18:51,780 --> 00:18:56,280
+بيعني one more مظبوط؟
+
+242
+00:18:56,280 --> 00:19:00,420
+والـ equal هذه مثل كده لما أنا باجي بقول هاي واحد
+
+243
+00:19:00,420 --> 00:19:05,760
+زي كمان واحد زيادة عليه فأظهر للاثنين اللي هو الـ
+
+244
+00:19:05,760 --> 00:19:13,060
+second position بصبور طيب الاثنين هذه زائد الواحد
+
+245
+00:19:13,060 --> 00:19:18,000
+أو الواحد هذه لو أنا بدي أزيد عليها الاثنين ما هي
+
+246
+00:19:18,000 --> 00:19:25,460
+هذه equal is as the same as بتساوي اللي
+
+247
+00:19:25,460 --> 00:19:30,500
+هي مبدأ العد البسيط اللي رجعنا له طيب الصفر
+
+248
+00:19:35,160 --> 00:19:41,420
+الصفر وجد على الرغم أنه تاريخيا موجود من القدم
+
+249
+00:19:41,420 --> 00:19:45,900
+إلا أنه ما وجد وجود في العد يعني الناس اللي
+
+250
+00:19:45,900 --> 00:19:50,240
+ابدعت في الـ mathematics أو في الرياضيات الكلام اللي
+
+251
+00:19:50,240 --> 00:19:54,300
+الآن يوصف للمسلمين أو العرب المسلمين جابر بن حيان
+
+252
+00:19:54,300 --> 00:19:56,760
+وغيره اللي هما ناقشوا لما أننا أول ما وجدوا الصفر
+
+253
+00:19:56,760 --> 00:19:59,500
+وفي بعض الناس .. في ناس صينيين مش قضيتنا كتير في
+
+254
+00:19:59,500 --> 00:20:03,540
+التاريخ الآن اللي بيعنيني أنت لما بدأت أتعلم العد
+
+255
+00:20:03,540 --> 00:20:08,640
+ما بدأنا من صفر زي ما قلنا قبل شوية تمام؟ واحد خيب
+
+256
+00:20:08,640 --> 00:20:15,540
+بعد ما وصلنا العشرة هدول هذا ايش كان التمثيل تبعه؟
+
+257
+00:20:16,750 --> 00:20:20,630
+بواحد يعني بدنا نرجع يا شباب للعيد الكبير مرة ثانية
+
+258
+00:20:20,630 --> 00:20:24,970
+بعد هيك لأ طب هي تسعة واحد اثنين تلاتة أربعة خمسة
+
+259
+00:20:24,970 --> 00:20:30,630
+ستة أعمل association مع الـ digit عند الأخير ما فيش
+
+260
+00:20:30,630 --> 00:20:33,650
+رمزي الموجود عندي الآن بدوا الآن بحاجة ايه؟ بدهم
+
+261
+00:20:33,650 --> 00:20:36,250
+عناصر إضافية واحد يقول أنا هيك بدي أعمل المجموعات
+
+262
+00:20:36,250 --> 00:20:39,370
+تبعك لما بدي أعدهم واحد اثنين تلاتة أربعة خمسة
+
+263
+00:20:39,370 --> 00:20:42,570
+واحد اثنين تلاتة أربعة خمسة بمشي الحاجة أنت حرف
+
+264
+00:20:42,570 --> 00:20:46,410
+العد بس الآن مش هتقدر تعمل representation أو تكتب
+
+265
+00:20:46,410 --> 00:20:50,450
+العدد هذا الشكل لو بيك تكتب أربعة مليون كام واحدة
+
+266
+00:20:50,450 --> 00:20:56,710
+زي ايه بيمكنك تكتبها مش هتخلص أصبت؟ الآن حاجتنا
+
+267
+00:20:56,710 --> 00:21:00,230
+للصفر وبما أن الـ natural number هي الأساس وما فيش
+
+268
+00:21:00,230 --> 00:21:03,950
+فيها number فصاروا لأ الصفر لازم يكون موجود من ضمن
+
+269
+00:21:03,950 --> 00:21:07,810
+الأعداد وبدأوا يتكلموا على الأعداد بعيدا عن
+
+270
+00:21:07,810 --> 00:21:12,230
+الأعداد الطبيعية صاروا اما لو بدهم الآن لما نتكلم
+
+271
+00:21:12,230 --> 00:21:20,830
+يا شباب مجموعة الأعداد الطبيعية بتبدأ 1 2 3 إلى ما
+
+272
+00:21:20,830 --> 00:21:21,430
+لا نهاية
+
+273
+00:21:24,490 --> 00:21:28,450
+طيب أنا بدلوي في الصفر لأن الصفر أنا معنى فيه بصير
+
+274
+00:21:28,450 --> 00:21:37,250
+نرمز لها إما N zero أو N star تمام سواء هذه أو هذه
+
+275
+00:21:37,250 --> 00:21:42,750
+دلالة على وجود الصفر على الـ natural number لاحظ
+
+276
+00:21:42,750 --> 00:21:48,170
+ما فيش عندي سالب ما فيش عندي سالب كل الفكرة كمان مرة
+
+277
+00:21:48,170 --> 00:21:55,060
+كانت أنا عملت add one more عشان أزيد الـ counter تبع
+
+278
+00:21:55,060 --> 00:22:00,100
+العد اللي عندي والآن صار لازم يكون في عندي الصفر
+
+279
+00:22:00,100 --> 00:22:03,520
+فكلنا بنعرف الصفر طيب بما أن الصفر يا شباب أصبح
+
+280
+00:22:03,520 --> 00:22:08,720
+موجود في عملية الجمع لما أنا بجمع الصفر ايش 
+
+281
+00:22:08,720 --> 00:22:18,560
+النتيجة؟ ما تغيرت X زاد صفر X تمام؟ طيب الآن من
+
+282
+00:22:18,560 --> 00:22:23,470
+نفس منطق عملية الجمع،صار أنا لما بدي آخذ من الثلاث
+
+283
+00:22:23,470 --> 00:22:27,650
+هذه واحد،المنزل اللي جابي الهادي اللي أقل منها
+
+284
+00:22:27,650 --> 00:22:33,930
+بواحد،يعني قاعد بنزل ايش الـ minus أساسه كمان نقص
+
+285
+00:22:33,930 --> 00:22:39,090
+واحد،وبالتالي لما وصلت أنا X نقص الصفر بما أن
+
+286
+00:22:39,090 --> 00:22:44,210
+الصفر ما أثرتش عليه عند الجمع فكانت نفس الشغلة لكن
+
+287
+00:22:45,370 --> 00:22:49,570
+بعد هيك لما قصرت أنا بدي أقول minus صار في عندي
+
+288
+00:22:49,570 --> 00:22:53,950
+سالب، وهنتكلم عن السالب كمان لحظات،الصفر لما أنا 
+
+289
+00:22:53,950 --> 00:22:56,570
+بدي أعملها multiplication،الـ multiplication هي
+
+290
+00:22:56,570 --> 00:23:01,730
+عبارة عن تكرار مضبوط،تكرار الـ element،اتنين ضرب
+
+291
+00:23:01,730 --> 00:23:06,270
+ثلاثة يعني عندي اتنين مكررة ثلاث مرات اللي هم
+
+292
+00:23:06,270 --> 00:23:13,290
+مجموعهم ستة،الصفر مكرر...صفر ضرب ثلاثة،الصفر مكرر
+
+293
+00:23:13,290 --> 00:23:17,810
+ثلاث مرات،والصفر كل ما بضيفه لشغلة قيمتها لا تتغير
+
+294
+00:23:17,810 --> 00:23:22,930
+فالصفر ضفته لصفر صفر،وكمان مرة صفر،فان المحصلة صفر
+
+295
+00:23:22,930 --> 00:23:27,890
+وبالتالي الـ multiplication،صفر،قسمة الصفر على أي
+
+296
+00:23:27,890 --> 00:23:34,590
+عدد صفر،لما ما كانش ايش هيعطيك،والقسمة على صفر غير
+
+297
+00:23:34,590 --> 00:23:38,730
+معرفة،وهذه كثير من الأحيان اللي بيجعلها فيها احنا
+
+298
+00:23:39,680 --> 00:23:44,260
+بتكون المعادلة مكتوبة قدامك،كمان؟ لأ،على سبيل
+
+299
+00:23:44,260 --> 00:23:49,760
+المثال،بقولّك Find Y
+
+300
+00:23:49,760 --> 00:24:01,820
+equal 1 على X،الـ X equal 0 مباشرة
+
+301
+00:24:01,820 --> 00:24:09,440
+undefined غير معرفة،ليش؟ I'm defined لأن القسم على
+
+302
+00:24:09,440 --> 00:24:14,500
+صفر ايه المعرفة؟ لأن أساسا الكمية مش موجودة،هي
+
+303
+00:24:14,500 --> 00:24:19,260
+الفكرة،الكمية مش موجودة،بدك تجسم لأربعة غلط،بدك 
+
+304
+00:24:19,260 --> 00:24:22,720
+تجسم لمليون غلط،بدك تجسم على واحد غلط،لأن الكمية
+
+305
+00:24:22,720 --> 00:24:29,220
+اللي بدك تجسم عليها مش موجودة عندك،تمام
+
+306
+00:24:29,220 --> 00:24:32,320
+يعني
+
+307
+00:24:32,320 --> 00:24:35,740
+صار في عندي صفر،صار في عندي عملية جمع القرح مضبوط
+
+308
+00:24:38,920 --> 00:24:49,560
+الـ negative numbers،احنا اتفقنا الآن من هيك صفر N
+
+309
+00:24:49,560 --> 00:24:55,960
+star وأعداد طبيعيين،مضبوط؟،وقلنا في كل position
+
+310
+00:24:55,960 --> 00:25:01,680
+أبلش من الصفر،ما هي حطيت لك N star عشان قلنا ال
+
+311
+00:25:01,680 --> 00:25:04,920
+natural number تبدأ من واحد،إذا أنا نعني في الصفر
+
+312
+00:25:04,920 --> 00:25:11,430
+ببدأ من أين؟ N star أو N صفر أو N0 بس N star أسهل
+
+313
+00:25:11,430 --> 00:25:15,870
+لك،تمام،فأنت حر سواء هذه أو هذه،أنا غالبا
+
+314
+00:25:15,870 --> 00:25:22,390
+هتلاقيني بعتمد N star الآن،إذا احنا بلشنا مع من
+
+315
+00:25:22,390 --> 00:25:27,610
+صفر إلى مالانهاية،وتذكر دائما الفرق ما بين كل
+
+316
+00:25:27,610 --> 00:25:36,730
+عنصرين واحد،تمام
+
+317
+00:25:38,420 --> 00:25:42,840
+بس الأعداد هيك، واحنا قلنا الأعداد فكرتها وكل شغل
+
+318
+00:25:42,840 --> 00:25:45,300
+هبصير حسب ايش حاجة للإنسان أكتر من العدد الزمان
+
+319
+00:25:45,300 --> 00:25:49,200
+ما كانش بالزمن،وكنا بنقدر نجيبه كل بساطة،بعد هيك
+
+320
+00:25:49,200 --> 00:25:52,360
+قالوا طيب يا عم إذا كانت الأعداد بتصير مالانهاية
+
+321
+00:25:52,360 --> 00:25:56,840
+الصفر،لو أنا بدي آخذ منه واحد واحد،قلت بنفعش يا
+
+322
+00:25:56,840 --> 00:26:01,670
+أستاذ،بنفعش لإن عمالة بنفعش نجسم عليه الجسم،هو مش
+
+323
+00:26:01,670 --> 00:26:06,890
+موجود،بس لما أنا بدي آخذ بمبادئ البشرية وال
+
+324
+00:26:06,890 --> 00:26:10,070
+social والحياة الشماعية،أنه أنا بدي أستلف أو
+
+325
+00:26:10,070 --> 00:26:13,510
+أتداين، وهم فعليا أول ما علمون الحساب في الابتدائي
+
+326
+00:26:13,510 --> 00:26:17,550
+كانوا يقولوا لك بدنا نتداين من القيمة هذه جديش أو
+
+327
+00:26:17,550 --> 00:26:22,380
+بدنا نأخذ منها جديش،الآن الصفر هذا ما عضوش تمام؟
+
+328
+00:26:22,380 --> 00:26:26,660
+بده يصير مديون إلينا،لما بدنا نأخذ منه الواحد بده
+
+329
+00:26:26,660 --> 00:26:31,520
+يصير مديون إلينا،وبالتالي صارت عندي السالب واحد بس
+
+330
+00:26:31,520 --> 00:26:37,980
+لاحظوا يا شباب أنا بطلت أتكلم على position،بطلت
+
+331
+00:26:37,980 --> 00:26:42,480
+أتكلم على position،لإن ماحدش بيجي يقوللي مرتبتك
+
+332
+00:26:42,480 --> 00:26:48,340
+سالب ثلاثة في حدا؟ إذا بتقدر تديني مثال حقيقي على
+
+333
+00:26:48,340 --> 00:26:54,410
+..زي هي كانت إلك علامتين في المساق،لا فيش ليش لأن ال
+
+334
+00:26:54,410 --> 00:26:58,870
+positions أو المنازل أو الترتيب بيبدأ من واحد
+
+335
+00:26:58,870 --> 00:27:04,750
+ما حدش إلا الله تبارك وتعالى الأول بلا ابتداء،مضبوط
+
+336
+00:27:04,750 --> 00:27:11,720
+لاحظ سبحان الله الكريم،الأول جانب كل شيء،والآخر بلا
+
+337
+00:27:11,720 --> 00:27:14,400
+انتهاء،يعني جد ما تتخيل من الآخر ما فيش شيء بعده
+
+338
+00:27:14,400 --> 00:27:17,740
+سبحان الله الكريم،لكن هيعرف حياتنا البشر اللي احنا فيه
+
+339
+00:27:17,740 --> 00:27:22,140
+في أو في ثاني وفي قبل صفر فيه سالب واحد وما شابه
+
+340
+00:27:22,140 --> 00:27:27,000
+الآن كمان مرة يعني أصبحت فكرة الأعداد السالبة برضه
+
+341
+00:27:27,000 --> 00:27:29,940
+وجدت من المين من فكرة أنظمة العد اللي احنا بنتكلم
+
+342
+00:27:29,940 --> 00:27:33,600
+عليها،وصارت أندي فكرة الأعداد السالبة وبين كل عدد
+
+343
+00:27:33,600 --> 00:27:35,960
+وثاني فرق واحد
+
+344
+00:27:37,600 --> 00:27:51,040
+الفرق بواحد،طيب
+
+345
+00:27:51,040 --> 00:27:57,900
+بما أنه صار في عندي أعداد سالبة وأعداد موجبة،شو
+
+346
+00:27:57,900 --> 00:28:01,740
+عمليات الجمع أو العمليات الحسابية اللي بتكون عندي
+
+347
+00:28:01,740 --> 00:28:04,980
+هنا لما
+
+348
+00:28:04,980 --> 00:28:11,770
+أنا بدي أرمز للعدد الموجة بـA موجبة
+
+349
+00:28:11,770 --> 00:28:24,830
+بـA موجبة بـA موجبة بـA موجبة بـA موجبة
+
+350
+00:28:24,830 --> 00:28:31,610
+بـA
+
+351
+00:28:31,610 --> 00:28:34,510
+موجة بـA موجبة بـA موجبة بـA موجبة بـA موجبة بـA موجبة
+
+352
+00:28:34,510 --> 00:28:37,220
+موجبة بـA موجبة بـA موجبة بـA موجبة بـA موجبة بـA موجبة
+
+353
+00:28:37,220 --> 00:28:45,600
+A بدي أجمعها أو أضيفها إلى الـ B والسالب
+
+354
+00:28:45,600 --> 00:29:01,340
+B A زائد B هيها مضبوط،A زائد ناقص B مش
+
+355
+00:29:01,340 --> 00:29:03,800
+هذه الصورة هي هي اللي قاعدنا نتكلم عليها لو أنا
+
+356
+00:29:03,800 --> 00:29:09,880
+بدي أسقطها،تمامًا مثل الحالة هذه،هي كمان مرة هي a
+
+357
+00:29:09,880 --> 00:29:18,020
+زائد b،هيها a زائد ناقص b،الأصل اتكتب بالصورة هذه
+
+358
+00:29:18,020 --> 00:29:24,100
+لكن لما بيكون في عندي ناقص أو في عندي سالب خلاص
+
+359
+00:29:24,100 --> 00:29:30,240
+السالب الموجب بتقوله ايش معنى بتصير a ناقص ال b أو
+
+360
+00:29:30,240 --> 00:29:38,910
+a minus b تمام؟ طيب لما بتكون في عندي سالب a،سالب A
+
+361
+00:29:38,910 --> 00:29:54,930
+زائد B،سالب A زائد B اللي هي B ناقص A،كمان
+
+362
+00:29:54,930 --> 00:30:04,810
+سالب A زائد سالب B،سالب A زائد
+
+363
+00:30:07,090 --> 00:30:12,830
+سالب b،حسب الصيغة اللي فوق،الموجب هذه بتروح تصبح
+
+364
+00:30:12,830 --> 00:30:18,950
+عندي سالب a سالب b واحنا عمالا قولنا هنا عند
+
+365
+00:30:18,950 --> 00:30:23,950
+السالب a هي عبارة عن ناقص واحد مضروب في القيمة
+
+366
+00:30:23,950 --> 00:30:30,410
+فآخذ السالب واحد عامل مشترك،بتصبح سالب A زائد B
+
+367
+00:30:30,410 --> 00:30:33,410
+واحد يقول لي وإن الواحد يقول لي أنت أخذته السالب واحد
+
+368
+00:30:33,410 --> 00:30:36,150
+أخذته عامل مشترك،لو الواحد ما كتبتهوش بس بكتب
+
+369
+00:30:36,150 --> 00:30:41,710
+إشارة السالب،طيب
+
+370
+00:30:41,710 --> 00:30:50,870
+العملية عكسها تماما أو متلة تماما في الطرح،A
+
+371
+00:30:50,870 --> 00:30:58,150
+ناقص B،A ناقص B،A ناقص ناقص B
+
+372
+00:31:03,230 --> 00:31:09,210
+أي ناقص أي
+
+373
+00:31:09,210 --> 00:31:13,870
+ناقص b ناقص b ناقص b ناقص b ناقص b ناقص b
+
+374
+00:31:13,870 --> 00:31:16,630
+ناقص b ناقص b ناقص b ناقص b ناقص b ناقص b
+
+375
+00:31:16,630 --> 00:31:22,050
+ناقص b ناقص b ناقص b ناقص b ناقص b ناقص b
+
+376
+00:31:30,320 --> 00:31:41,500
+ناقص a ناقص b،عمال
+
+377
+00:31:41,500 --> 00:31:46,920
+أنا أقول أن هذه موجبة وهذه تساوي ناقص a زائد ال b
+
+378
+00:31:46,920 --> 00:31:51,520
+اللي زي اللي شوفناها قبل شوية اللي هي b ناقص ال a
+
+379
+00:31:51,520 --> 00:31:57,650
+كلام صعب يا شباب،شباب زلجتني بأسرع أو مشابه،حاول
+
+380
+00:31:57,650 --> 00:32:01,070
+ليش أنت اسألني واجف،قول لي هدى شوية بتمشي الأمور إن
+
+381
+00:32:01,070 --> 00:32:05,310
+شاء الله على خير،ما يرام،طيب كذلك زي ما شفنا عملية
+
+382
+00:32:05,310 --> 00:32:11,470
+الجمع والطرح على الأعداد،بدي أشوف الضرب والقسمة
+
+383
+00:32:11,470 --> 00:32:20,070
+بدي أشوف الضرب والقسمة،الآن a ضرب b a b a ضرب نقص
+
+384
+00:32:20,070 --> 00:32:29,250
+b،نقص a،يعني هي المفروض هيك تكون a فنقص b،سالب في
+
+385
+00:32:29,250 --> 00:32:41,210
+موجبة سالب،ستصبح سالب AB،تمام،غشك
+
+386
+00:32:41,210 --> 00:32:48,570
+الجوس،يعني أنت بيه AB مش مشكلة حطينا السالب تمام
+
+387
+00:32:48,570 --> 00:32:53,890
+اللي بعدها نقص
+
+388
+00:32:53,890 --> 00:32:54,270
+A
+
+389
+00:32:57,170 --> 00:33:04,890
+في B،وبيضربها بعد هيك في ناقص B،ناقص A ضرب B سالب
+
+390
+00:33:04,890 --> 00:33:10,070
+AB،على نفس النظام السابق مضبوط،طيب ناقص A ضرب ناقص
+
+391
+00:33:10,070 --> 00:33:19,410
+B،AB،ناقص A ثم ناقص B،AB
+
+392
+00:33:19,410 --> 00:33:25,130
+فسالب فسالب هتصير النتيجة عندي موجبة،القسمة
+
+393
+00:33:31,800 --> 00:33:43,880
+A تقسيم الـ B،A على B،A تقسيم سالب B،سالب A على
+
+394
+00:33:43,880 --> 00:33:52,860
+سالب B،هي هي الآن،بما أنه هذا الجثت بسطه مقامه هذا
+
+395
+00:33:52,860 --> 00:33:58,410
+الـ value بسطه مقامه،بقدر أنا أقوله سالب A على B ومش
+
+396
+00:33:58,410 --> 00:34:03,910
+هتفرج معايا الإشارة لمن؟ للبسط ولا للمقام؟كذلك لما
+
+397
+00:34:03,910 --> 00:34:10,170
+باجي بقول سالب A تقسيم سالب B،باجي بجهذه قيمتها
+
+398
+00:34:10,170 --> 00:34:17,010
+سالب A على سالب B،السالب مع السالب بيروح تمام لأن
+
+399
+00:34:17,010 --> 00:34:21,610
+هذه بتمثل سالب واحد،نصيب؟ وبالتالي بتصير A على B
+
+400
+00:34:32,870 --> 00:34:37,870
+بما أنه احنا بنتكلم على أربع عمليات قاعدين،جمع و
+
+401
+00:34:37,870 --> 00:34:44,670
+طرح وضرب وقسمة،تمام،صار في عندي بعض الخصائص أو
+
+402
+00:34:44,670 --> 00:34:47,890
+بعض القوانين اللي بتحكم عملية الضرب والقسمة اللي
+
+403
+00:34:47,890 --> 00:34:51,490
+موجودة عندها،بدنا نركز على شغلة شباب،أنه في
+
+404
+00:34:51,490 --> 00:34:54,790
+البداية،أن العمليات الحسابية الأربع هذه،بنسميها
+
+405
+00:34:54,790 --> 00:34:59,680
+احنا احنا بنسميها binary operations،binary
+
+406
+00:34:59,680 --> 00:35:08,540
+operations عمليات ثنائية،ليش عمليات ثنائية؟بس
+
+407
+00:35:08,540 --> 00:35:13,380
+فيها عاملين،زي ما شوفنا قبل شوية لما كتبنا واحد
+
+408
+00:35:13,380 --> 00:35:18,040
+زائد واحد،two operand،ولما كتبنا واحد زائد اتنين
+
+409
+00:35:18,040 --> 00:35:22,840
+قلنا طيب ما هي هذه أساسا واحد زائد واحد،ولو أنا
+
+410
+00:35:22,840 --> 00:35:28,000
+أجيب كتبت لك واحد زائد خمسة زائد سبعة،اجمع لي إياهم
+
+411
+00:35:30,900 --> 00:35:35,800
+لا جمع لي إياهم،هتقول لي 13،بس لو أنا قلت لك بشكل بسيط خلي
+
+412
+00:35:35,800 --> 00:35:39,540
+مخك يشتغل بشكل بطيء،عشان تشوف حالك كيف جمعتهم
+
+413
+00:35:39,540 --> 00:35:45,660
+هتلاقي حالك جمعت الواحد زائد الخمسة ستة،وروح
+
+414
+00:35:45,660 --> 00:35:48,620
+الجماعة للسبعة،وبالتالي بتكلم على binary
+
+415
+00:35:48,620 --> 00:35:53,460
+operations،و two operands،احنا الآن الله تبارك
+
+416
+00:35:53,460 --> 00:35:56,260
+وتعالى أنعم علينا بناء على كتيرة منها،لو قلت لك
+
+417
+00:35:56,260 --> 00:36:02,230
+اجمع لي مجموعة الأرقام التالية،خمسة الآن،مباشرة حطيت
+
+418
+00:36:02,230 --> 00:36:04,670
+في دماغك خمسة،وبدك تضيف عليها مباشرة العدد اللي
+
+419
+00:36:04,670 --> 00:36:09,530
+أنا بدي أكتب،بمجرد أكتب لك اثنين هتقول سبعة،الآن
+
+420
+00:36:09,530 --> 00:36:13,010
+راحت عندك one operand وبتستنى للرقم التالي لـ 
+
+421
+00:36:13,010 --> 00:36:18,770
+second operand تمام؟ وبالتالي هذه العمليات كلها 
+
+422
+00:36:18,770 --> 00:36:23,550
+عمليات ثنائية تمام؟
+
+423
+00:36:23,550 --> 00:36:27,510
+العمليات هذه فيها مجموعة من القوانين اللي بتحكمها
+
+424
+00:36:27,510 --> 00:36:36,850
+عملية الإبدال، عملية التجميع، وعملية التوزيع 
+
+425
+00:36:36,850 --> 00:36:45,510
+تجميع، توزيع، commutative إبدال أو تبديل، associative
+
+426
+00:36:45,510 --> 00:36:58,370
+تجميع، distributive توزيع 
+
+427
+00:36:58,370 --> 00:37:13,120
+الـ commutative مفهوم التبديل، العملية الثنائية اللي
+
+428
+00:37:13,120 --> 00:37:17,140
+في الدائرة هنا شباب، الـ operation اللي في الدائرة
+
+429
+00:37:17,140 --> 00:37:24,020
+عندي هان الـ operation بلا جمع وطرح وضرب وقسمة
+
+430
+00:37:24,020 --> 00:37:27,710
+وهنا في عندي two operands العددين اللي أنا بدي
+
+431
+00:37:27,710 --> 00:37:31,750
+أجمعهم عشان نسميها عملية ثنائية، الآن بدي أسأل 
+
+432
+00:37:31,750 --> 00:37:38,570
+نفسي عملية الجمع عملية إبدالية، الـ commutative بفهم
+
+433
+00:37:38,570 --> 00:37:42,110
+الإبدالية إن لو أنا أخدت الـ two values اللي الـ
+
+434
+00:37:42,110 --> 00:37:46,470
+operands هدول وغيرت الـ position تبعوتهم، تتغير
+
+435
+00:37:46,470 --> 00:37:51,910
+النتيجة، إذا تغيرت معناته العملية غير إبدالية وإن
+
+436
+00:37:51,910 --> 00:38:03,040
+بقت على حالها فهي عملية إبدالية، الآن A زائد B هل 
+
+437
+00:38:03,040 --> 00:38:09,140
+تساوي B زائد A؟ صحيح، فعملية الجمع بالنسبة لـ عملية 
+
+438
+00:38:09,140 --> 00:38:18,300
+إبدالية، طيب عملية الطرح A ناقص الـ B تساوي B ناقص الـ
+
+439
+00:38:18,300 --> 00:38:25,880
+A؟ أكيد، أكيد بتساوي، طيب الآن لو قلت لك 2 ناقص
+
+440
+00:38:25,880 --> 00:38:33,820
+3 قديش بتساوي؟ ناقص 1، طيب 3 ناقص 2 
+
+441
+00:38:33,820 --> 00:38:39,520
+واحد، الواحد لا تساوي السالب واحد، فعملية الطرح غير
+
+442
+00:38:39,520 --> 00:38:44,700
+إبدالية، عملية 
+
+443
+00:38:44,700 --> 00:38:53,460
+الضرب إبدالية، A ضرب B تساوي B ضرب الـ A، عملية القسمة
+
+444
+00:38:54,710 --> 00:39:00,530
+غير إبدالية لأن 2 على 4 لا تساوي 4 على 2
+
+445
+00:39:00,530 --> 00:39:06,110
+بالمناسبة يا شباب، عند النفي، عند النفي بيلزمك تجيب
+
+446
+00:39:06,110 --> 00:39:11,130
+مثال، مثال واحد، المشكلة دائماً عند الإثبات احنا مش
+
+447
+00:39:11,130 --> 00:39:13,610
+حانوية، بتحتاج في الوقت الحالي، العملية، عملية
+
+448
+00:39:13,610 --> 00:39:17,630
+إبدالية، هيها بالنسبة للجمع والضرب، A زائد B تساوي
+
+449
+00:39:17,630 --> 00:39:18,370
+B زائد A
+
+450
+00:39:21,270 --> 00:39:24,390
+والشاطر في الرياضيات ويقول العملية غير إبدالية
+
+451
+00:39:24,390 --> 00:39:28,390
+يجيب لي مثال واحد، واحنا بدنا نحطه في موسوعة العالم
+
+452
+00:39:28,390 --> 00:39:32,970
+بتاعت الرياضيات، هيك القانون عند النفي جيب مثال
+
+453
+00:39:32,970 --> 00:39:37,370
+واحد، ينفي الكلام هذا، بتصير نظرية هذي إيش مالهاش
+
+454
+00:39:37,370 --> 00:39:42,710
+معنى؟ تمام، عشان هيك أهل الرياضيات بعدين صاروا يحطوا
+
+455
+00:39:42,710 --> 00:39:48,010
+شروط، إذا توفر عندي 1 2 3 معناته بيكون في 
+
+456
+00:39:48,010 --> 00:39:51,770
+عندي وبقدر أتكلم على كذا، على سبيل المثال كنا
+
+457
+00:39:51,770 --> 00:39:59,370
+بنعرف نظريات في ثانوية صح؟ إيش كان لها شرط؟ إن
+
+458
+00:39:59,370 --> 00:40:03,310
+المثلث قائم الزاوية بنفع أسقطها على مثلث غير قائم
+
+459
+00:40:03,310 --> 00:40:09,650
+الزاوية؟ مستحيل، مستحيل، عشان هيك، لو أنت قدرت تجيب
+
+460
+00:40:09,650 --> 00:40:17,670
+مثلث قائم الزاوية في مربع الوتر أو الوتر، مربع الوتر 
+
+461
+00:40:17,670 --> 00:40:25,510
+لا يساوي مربع الضلعين تمام، بتقدر تنفي إيش نظرية
+
+462
+00:40:25,510 --> 00:40:30,170
+فيثاغورس بس
+
+463
+00:40:30,170 --> 00:40:34,410
+ما فيش ولا حد قادر يجيب مثال تمام، لأن المثلث هذا
+
+464
+00:40:34,410 --> 00:40:38,570
+فعلياً قائم الزاوية وكل إثباتات أو طبعاً أثبت
+
+465
+00:40:38,570 --> 00:40:46,090
+الكلام هذا بالبرهان الرياضي المنطقي تمام لحتى 
+
+466
+00:40:46,090 --> 00:40:50,890
+الأمور تمام يا شباب احنا قلنا العمليات عمليات
+
+467
+00:40:50,890 --> 00:40:54,910
+ثنائية، العمليات الحسابية اللي عندي جمع وطرح وضرب
+
+468
+00:40:54,910 --> 00:41:00,290
+وقسمة، طلعت منهم اثنتين إبداليات، commutative جمع
+
+469
+00:41:00,290 --> 00:41:04,590
+وضرب،  قسمة وطرح غير commutative تمام
+
+470
+00:41:04,590 --> 00:41:08,110
+associative
+
+471
+00:41:08,110 --> 00:41:13,230
+خاصية التجميع، بدك تفهم يا صاحبي في الأول إن خاصية
+
+472
+00:41:13,230 --> 00:41:20,890
+التجميع مفهومها إن عندي نفس العملية، نفس الـ
+
+473
+00:41:20,890 --> 00:41:25,130
+operations، جمع يعني جمع في كل المسألة، طرح يعني طرح 
+
+474
+00:41:25,130 --> 00:41:28,670
+في كل المسألة، ضرب في كل المسألة، والعملية هذه
+
+475
+00:41:28,670 --> 00:41:34,270
+بتحتوي على أكثر من operand بمعنى أنا قد جيت قلت A
+
+476
+00:41:34,270 --> 00:41:39,010
+زائد B زائد C هي العملية اللي عندي
+
+477
+00:41:42,330 --> 00:41:47,970
+بينفعش أقول عملية بالشكل هذا A زائد B ناقص C وبدي 
+
+478
+00:41:47,970 --> 00:41:53,430
+أروح أشوف العملية هذه عملية تجميعية ولا لأ؟ لازم
+
+479
+00:41:53,430 --> 00:41:56,810
+تكون نفس الـ operation اللي موجودة عندي، نفس العملية
+
+480
+00:41:56,810 --> 00:42:03,530
+الحسابية، طبعاً تعالوا نشوف مع الجمع خاصية التجميع
+
+481
+00:42:03,530 --> 00:42:07,410
+مفهومها إن أنا أخد أي اثنين لأن العملية ثنائية
+
+482
+00:42:07,410 --> 00:42:11,370
+بالأساس مضبوط؟ إذا أنا قدرت أخد أي اثنين وأجمعهم
+
+483
+00:42:11,370 --> 00:42:14,350
+مع بعض وأحصل على نفس النتيجة بيكون هذا الكلام صح
+
+484
+00:42:14,350 --> 00:42:21,170
+إيش أنا أجمع أي اثنين مع بعض؟ أجمع A زائد B في قوس
+
+485
+00:42:21,170 --> 00:42:31,960
+وبعدين أجمع الـ C تمام؟ أو أجمع الـ B مع الـ C وبعدين
+
+486
+00:42:31,960 --> 00:42:36,320
+في داخل القوس أضيف لهم للـ A، إذا كانت الخاصية
+
+487
+00:42:36,320 --> 00:42:39,360
+بالشكل هذا، في خاصية التجميع إن أقدر أجزء ..
+
+488
+00:42:39,360 --> 00:42:44,760
+بقوسين، أجزء المسألة تبعي لقواس، فبسميها تجميعية، نعم
+
+489
+00:42:44,760 --> 00:42:49,660
+بس
+
+490
+00:42:49,660 --> 00:42:56,180
+لاحظ أنت إيش سويت؟ A زائد C زائد B أنت روح طبق
+
+491
+00:42:56,180 --> 00:43:01,220
+خاصيتك الإبدال هان تمام؟ فمش هتفرق كثير معايا احنا
+
+492
+00:43:01,220 --> 00:43:04,960
+متفقين عملية الجمع عملية إبدالية، عشان هيك أنا
+
+493
+00:43:04,960 --> 00:43:08,320
+قلت لك من البداية تكون نفس الـ operation نفس العملية
+
+494
+00:43:08,320 --> 00:43:14,020
+الحسابية اللي عندك تمام؟ فهذه نفسها بس أنت دخلت 
+
+495
+00:43:14,020 --> 00:43:18,360
+خاصية الإبدال، أنا الآن بتكلم على التجميع زي ما هي
+
+496
+00:43:18,360 --> 00:43:22,200
+المعادلة قدام هيك؟ هل بنفع أجمع ولا لأ؟ تعالوا على
+
+497
+00:43:22,200 --> 00:43:26,580
+الهامش هان هيك شوية نكتب نفس النمو هذا لو كنت فيه
+
+498
+00:43:26,580 --> 00:43:36,170
+عندي A ضرب B ضرب الـ C، بينفع أجمع؟
+
+499
+00:43:36,170 --> 00:43:47,930
+بينفع A ضرب B ضرب الـ C كذلك؟ A ضرب B ضرب C ليش 
+
+500
+00:43:47,930 --> 00:43:53,330
+ما تملاّش نفس النتيجة يا صاحبي؟ أديني مثال 1 ضرب
+
+501
+00:43:53,330 --> 00:43:56,250
+2 ضرب 3، 1 في 2، 2 في 2 في 
+
+502
+00:43:56,250 --> 00:44:01,120
+3، 6، 2 في الـ 3 6، ضربهم في 1 6
+
+503
+00:44:01,120 --> 00:44:06,000
+ما فيش شيء نفس النتيجة، طيب تعالوا نشوف موضوع الطرح
+
+504
+00:44:06,000 --> 00:44:12,920
+فالآن عند الجمع والضرب عمليات تجميعية، تعالوا نشوف 
+
+505
+00:44:12,920 --> 00:44:17,300
+الطرح، الطرح كيف بده يكون شكلها أو خلينا نهدى الدرب
+
+506
+00:44:17,300 --> 00:44:25,160
+نعمل الطرح هنا، A ناقص B ناقص C 
+
+507
+00:44:30,220 --> 00:44:43,920
+شو رأيكم؟ غير تجميعية، أديني مثال يا باشا، أيوه
+
+508
+00:44:43,920 --> 00:44:53,840
+5، 4، 3، 5 ناقص 4 ناقص 3 هيك 
+
+509
+00:44:53,840 --> 00:45:01,900
+نسمي اللي بقول، 5 ناقص 4 1 ناقص 3 سالب
+
+510
+00:45:01,900 --> 00:45:08,280
+2 الحالة الأولى، الحالة الثانية 5 4 
+
+511
+00:45:08,280 --> 00:45:14,280
+3، 4 ناقص 3 1، 5 ناقص
+
+512
+00:45:18,050 --> 00:45:22,690
+1، ناقص 2، لا تساوي الـ 4، فهي عملية تطرح عملية
+
+513
+00:45:22,690 --> 00:45:29,950
+غير تجميعية كذلك لما نجيء للـ A تقسيم الـ B تقسيم 
+
+514
+00:45:29,950 --> 00:45:35,670
+الـ C، هل هي عملية تجميعية؟ بدك تروح تشوف بنفسك وبطل
+
+515
+00:45:35,670 --> 00:45:44,670
+الآن، بدك تروح تجمع A تقسيم الـ B تقسيم الـ C وتفحص A 
+
+516
+00:45:44,670 --> 00:45:52,510
+تقسيم B تقسيم الـ C، شو رأيكم؟ غير تجميعية .. غير
+
+517
+00:45:52,510 --> 00:45:58,960
+تجميعية، والأمثلة كثيرة، طيب خاصية التوزيع، الآن لاحظ 
+
+518
+00:45:58,960 --> 00:46:01,500
+إن أنا تكلمت على association .. اه عفواً
+
+519
+00:46:01,500 --> 00:46:06,880
+associative تجميع،  أكترنا على مبدأ واحد إن عملية
+
+520
+00:46:06,880 --> 00:46:11,940
+العملية الموجودة عملية واحدة، إما جمع أو ضرب أو
+
+521
+00:46:11,940 --> 00:46:15,860
+طرح أو قسمة مظبوط، وكتبت عيني بس إن الجمع و
+
+522
+00:46:15,860 --> 00:46:20,920
+الضرب هي العمليات التجميعية، الآن في خاصية توزيع 
+
+523
+00:46:20,920 --> 00:46:26,130
+distributive بدي يكون في عندك عمليتين مختلفتين
+
+524
+00:46:26,130 --> 00:46:31,350
+بتكون في عندك عمليتين مختلفتين، قبل شوية قلت لك لازم
+
+525
+00:46:31,350 --> 00:46:36,310
+تكون عندك نفس العملية، مفهوم
+
+526
+00:46:36,310 --> 00:46:39,810
+العمليتين مختلفتين يعني واحدة تكون جامعة واحدة
+
+527
+00:46:39,810 --> 00:46:42,650
+ضاربة، واحدة تكون طارحة، واحدة ثانية قسمها أو ما
+
+528
+00:46:42,650 --> 00:46:48,930
+شابه، الآن بنشتغل 
+
+529
+00:46:48,930 --> 00:46:52,190
+ضمن الكلام هذا، هي في عندي كلام
+
+530
+00:46:57,110 --> 00:47:06,630
+multiplication over addition، الضرب
+
+531
+00:47:06,630 --> 00:47:12,050
+مقابل الجمع، هل هي تجميعية أو توزيعية على الجمع ولا
+
+532
+00:47:12,050 --> 00:47:21,190
+لأ، إكسها الجمع على الضرب، الـ multiplication بس، لأ 
+
+533
+00:47:21,190 --> 00:47:28,760
+الـ multiplication على الـ subtraction طرح، إكسها الـ
+
+534
+00:47:28,760 --> 00:47:34,140
+Subtraction على Multiplication، والآن بقول لك بالمثال
+
+535
+00:47:34,140 --> 00:47:38,980
+إيش يعني هدول؟ أو بالرموز خلصنا؟ لا ما خلصناش، في عندي
+
+536
+00:47:38,980 --> 00:47:49,800
+الـ division القسمة over الجمع، الـ addition over الـ 
+
+537
+00:47:49,800 --> 00:47:54,660
+division القسمة، بعدين الـ subtraction عشان ترتاح 
+
+538
+00:47:54,660 --> 00:47:58,320
+أنت دائماً، الكلام اللي فوق هذا الـ multiplication
+
+539
+00:47:58,320 --> 00:48:05,880
+over الـ addition يعني في عند A مضروبة في B زائد C 
+
+540
+00:48:05,880 --> 00:48:10,760
+اللي
+
+541
+00:48:10,760 --> 00:48:17,420
+هي الأولى، هذه multiplication over addition هي 
+
+542
+00:48:17,420 --> 00:48:22,280
+multiplication الضرب على الجمع، هل عملية الضرب على 
+
+543
+00:48:22,280 --> 00:48:28,100
+الجمع عملية توزيعية؟ يعني بين قوسين بقدر أوزع العنصر
+
+544
+00:48:28,100 --> 00:48:35,080
+اللي بره على داخل القوس، صح 100%، طب لو
+
+545
+00:48:35,080 --> 00:48:41,080
+عكسناها، إيش هنعكسها؟ يعني أروح أقول له إيه هيا
+
+546
+00:48:41,080 --> 00:48:51,840
+addition over multiplication إيه الضرب B زائد C اه
+
+547
+00:48:51,840 --> 00:49:00,340
+غير الإشارة كمان بينفع؟
+
+548
+00:49:00,340 --> 00:49:05,040
+أيوه ليه؟ طب ليش يا شباب؟ في حد .. خليك ساكت أنت في 
+
+549
+00:49:05,040 --> 00:49:11,490
+حد بيعرف ليش مظبوطش الكلام؟ أيوه، بدنا نذكر الآن
+
+550
+00:49:11,490 --> 00:49:14,650
+مجموعة الأولويات اللي علمونا إياها زمان، كانت 
+
+551
+00:49:14,650 --> 00:49:21,630
+الأولوية الأولى لمين؟ للأقواس رقم 1، 2 الضرب 
+
+552
+00:49:21,630 --> 00:49:30,770
+والقسمة، 3 الجمع والطرح، 100%، طول ما هاد
+
+553
+00:49:30,770 --> 00:49:35,510
+الأولويات الثلاث للعمليات الحسابية عادة في ذهنك
+
+554
+00:49:35,510 --> 00:49:40,090
+تتكلم عن موضوع الـ distributive أو موضوع التوزيع
+
+555
+00:49:40,090 --> 00:49:43,510
+وأنت مرتاح، تعالوا نشوف احنا الـ multiplication over 
+
+556
+00:49:43,510 --> 00:49:53,890
+subtraction هيا A ضرب B ناقص C، A 
+
+557
+00:49:53,890 --> 00:49:58,990
+B ناقص A C، تنفع، وبالتالي Distributive بينما الحاجة
+
+558
+00:49:58,990 --> 00:50:05,650
+اللي هنا لأ، وعكسها A ناقص B ضرب الـ C لا بينفعش 
+
+559
+00:50:05,650 --> 00:50:10,650
+بينفعش لأنه بده ينفذ في الأقواس في الأول، أصبعط؟
+
+560
+00:50:10,650 --> 00:50:16,710
+ولو أنت بالمناسبة نفذت الأقواس اللي هان حسب القوس
+
+561
+00:50:16,710 --> 00:50:20,010
+ما فيش عندك مشكلة تنفذ الجمع الطرح أو الجمع وبعدين
+
+562
+00:50:20,010 --> 00:50:23,130
+تضرب بس إحنا الآن نتكلم على التوزيع واللي إحنا 
+
+563
+00:50:23,130 --> 00:50:28,930
+أساسًا فكرة إن أنا كيف آخذ عامل مشترك مش هاد إحنا
+
+564
+00:50:28,930 --> 00:50:34,270
+اتفقنا إنّها بتساوي ab زائد ac خذ الـ a عامل مشترك
+
+565
+00:50:34,270 --> 00:50:39,490
+بتصير a مضروبة في b زائد c، مظبوط؟ وهذه الفكرة
+
+566
+00:50:39,490 --> 00:50:44,370
+الموجودة ونفس الكلام لو أنا أديت قلت لك الـ a تقسيم
+
+567
+00:50:44,370 --> 00:50:51,090
+a زائد b هل
+
+568
+00:50:51,090 --> 00:50:55,650
+هي تساوي هذا
+
+569
+00:50:55,650 --> 00:51:00,700
+ها هي عليّ علمت السفهاء عشان تقول لي اه ولا لا A تقسيم
+
+570
+00:51:00,700 --> 00:51:08,880
+.. أنا B و أنا C A تقسيم الـ B زائد A تقسيم الـ C
+
+571
+00:51:08,880 --> 00:51:20,440
+هذه
+
+572
+00:51:20,440 --> 00:51:27,020
+هي هذه، و هذه هي هذه. فهل عملية الضرب أو القسمة 
+
+573
+00:51:27,020 --> 00:51:36,040
+تجميعية أو عفواً توزيعية على الجمع؟ يا رجل هذه
+
+574
+00:51:36,040 --> 00:51:42,800
+هيها الجثة هذا هيّه صح؟ أيوة هنا مختلفة الأمور
+
+575
+00:51:42,800 --> 00:51:49,840
+فبتدخل فيها توحيد مقامات وبالتالي هذه بيحصل يصير BC
+
+576
+00:51:49,840 --> 00:51:53,740
+AC زائد
+
+577
+00:51:56,710 --> 00:52:01,170
+AB C بتقول لي لو حطيت هي المسألة اللي عندنا مظبوط
+
+578
+00:52:01,170 --> 00:52:07,030
+وبالتالي هذه لا تساوي هذه صح؟ بدك تأخذ أيّه عن 
+
+579
+00:52:07,030 --> 00:52:15,170
+المشترك؟ سيّبقى عندي C زائد B على BC نفس القيمة 
+
+580
+00:52:15,170 --> 00:52:18,630
+وبالتالي غير
+
+581
+00:52:20,160 --> 00:52:24,660
+توزيعية، أو نعم غير توزيعية الأخيرة الـ addition
+
+582
+00:52:24,660 --> 00:52:32,680
+over the division يعني حتكون عندي a زائد b تقسيم
+
+583
+00:52:32,680 --> 00:52:45,360
+الـ c اللي هي a زائد b على c هل هذا يساوي الله
+
+584
+00:52:45,360 --> 00:52:48,280
+صلي على السيد محمد a زائد b
+
+585
+00:52:52,950 --> 00:53:00,370
+تقسيم الـ A زائد C آه صح هذه مفهوم التوزيع، توزع 
+
+586
+00:53:00,370 --> 00:53:04,370
+العملية اللي برة على اللي جوة هيك مفهوم التوزيع هل
+
+587
+00:53:04,370 --> 00:53:13,370
+فيها نمو سواء هذه مفهومها A زائد B على A زائد C هل
+
+588
+00:53:13,370 --> 00:53:19,880
+هذا هو يساوي هذا؟ مستحيل وبالتالي شوف طبعًا واحد يقول
+
+589
+00:53:19,880 --> 00:53:25,720
+أهو أحط الصفر إحنا قلنا لك مثال واحد بس بنثبت في
+
+590
+00:53:25,720 --> 00:53:30,020
+العملية كلها تخيل الأعداد غير منتهية مظبوط لو كل 
+
+591
+00:53:30,020 --> 00:53:36,120
+الأعداد بتظبط مع حالة واحدة فقط بقول إنّ العملية 
+
+592
+00:53:36,120 --> 00:53:44,540
+هذه عملية غير توزيعية بس تمام يا شباب 100% ننتقل
+
+593
+00:53:44,540 --> 00:53:45,080
+لبعده
+
+594
+00:53:53,050 --> 00:53:56,230
+مش بعده لأ فيه كثير إحنا لسه علاقة بنقول هي هادي
+
+595
+00:53:56,230 --> 00:54:13,630
+يعني لحد
+
+596
+00:54:13,630 --> 00:54:17,750
+تلقاه الأمور تبقى بشباب يعني بكل بساطة الـ مثال
+
+597
+00:54:17,750 --> 00:54:21,930
+اللي أنا كتبته قبل شوية يا شباب كان هدفه إنّي أقول لك مش
+
+598
+00:54:21,930 --> 00:54:27,150
+بالضرورة تكون أنت حافظ الأمور بالتمام مفهوم
+
+599
+00:54:27,150 --> 00:54:31,430
+التوزيع إنّي في عندي عملية بدها تدخل على جوة
+
+600
+00:54:31,430 --> 00:54:37,030
+تمام عملية بدها تدخل على جوة لو أنت مش قادر تتذكر
+
+601
+00:54:37,030 --> 00:54:41,350
+خرب سنة ما أنا خرب إشتهك و بتفهّم للنتيجة يوم عليّ
+
+602
+00:54:41,350 --> 00:54:44,350
+يوم الأمور حتحسن تكون أفضل إن شاء الله تبارك
+
+603
+00:54:44,350 --> 00:54:51,200
+وتعالى سؤال أيش؟ أيوة what about addition over
+
+604
+00:54:51,200 --> 00:54:57,500
+multiplication العكس أول واحدة عملناها إتّفقنا أنت
+
+605
+00:54:57,500 --> 00:55:02,080
+ما انتبهتش على السؤال في كل الصفحات السابقة أيش 
+
+606
+00:55:02,080 --> 00:55:05,680
+بالنسبة للـ subtraction الـ division بس الآن أنا
+
+607
+00:55:05,680 --> 00:55:09,040
+كتبت هنا واحدة بس من الحالات الست اللي كتبناها
+
+608
+00:55:09,040 --> 00:55:13,300
+ما يجيش مع بعض على اللوحة طيب
+
+609
+00:55:18,180 --> 00:55:21,500
+بعد ما تكلمنا على الأعداد الطبيعية واستخداماتها
+
+610
+00:55:21,500 --> 00:55:24,480
+والعد ووجهة العملية السالبة والعملية الموجبة و
+
+611
+00:55:24,480 --> 00:55:28,140
+شفنا عملية الجمع والطرح والإبدال والتوزيع و
+
+612
+00:55:28,140 --> 00:55:36,420
+التجميع بدنا نتكلم على أنظمة العد اللي الها أساسات
+
+613
+00:55:36,420 --> 00:55:41,510
+إحنا الأساس تبع الـ natural number تبعنا طبعًا ب ..
+
+614
+00:55:41,510 --> 00:55:45,350
+واحد اثنين ثلاثة أربعة خمسة عادي كل مرة بزيد واحد 
+
+615
+00:55:45,350 --> 00:55:50,570
+لكن لما إحنا بيجي بنكتب الرقم هذا يا شباب أيش هو
+
+616
+00:55:50,570 --> 00:55:59,210
+هذا الرقم مرة ثانية ألف ومئتين وأربعة وثلاثين
+
+617
+00:55:59,210 --> 00:56:05,830
+يعني هذه القيمة عبارة عن ألف هذه مئتين
+
+618
+00:56:08,110 --> 00:56:15,850
+ثلاثين هذه أربعة أحد عشرات مئات آلاف عشرة الآلاف 
+
+619
+00:56:15,850 --> 00:56:20,770
+مئات الآلاف مليون بصبت هذا اللي كنا نتعلمه في 
+
+620
+00:56:20,770 --> 00:56:25,310
+الابتدائي هذا هو عبارة عن أساس شغل بيسموها الـ
+
+621
+00:56:25,310 --> 00:56:29,770
+positional positional number system positional
+
+622
+00:56:29,770 --> 00:56:33,650
+number system يعني القيمة هذه تتحدد أو الـ digit
+
+623
+00:56:33,650 --> 00:56:36,390
+هذا لو أنا سألتك أيش الرقم هنا شمال
+
+624
+00:56:43,210 --> 00:56:47,470
+على الرغم من أنه ثلاثة إحنا تعلمناه بصبت بس لأنه
+
+625
+00:56:47,470 --> 00:56:52,350
+منزلته أو position تبعه في الرقم رفعت الـ value
+
+626
+00:56:52,350 --> 00:56:57,190
+تبعته من ثلاثة لثلاثين ولو صار مكان هذا بده يصير
+
+627
+00:56:57,190 --> 00:57:02,430
+ثلاثة ثلاثة طيب هذا طبعًا بالتحليل البسيط اللي إحنا
+
+628
+00:57:02,430 --> 00:57:07,090
+بنعرفه في شغلة بنلاقيه بدنا نأكد عليها الشباب إنّ
+
+629
+00:57:07,090 --> 00:57:11,850
+هذا الرقم اللي في أقصى اليمين إليك خانة الآحاد
+
+630
+00:57:11,850 --> 00:57:18,330
+نسميها الـ least significant digit least
+
+631
+00:57:18,330 --> 00:57:25,610
+significant digit أقل منزلة بصبت؟ طيب واللي في 
+
+632
+00:57:25,610 --> 00:57:29,910
+أقصى اليسار الـ
+
+633
+00:57:29,910 --> 00:57:36,510
+most significant digit الـ most significant digit
+
+634
+00:57:36,510 --> 00:57:46,280
+لو أنا جيت قلت لك السبعة ثلاثة صفر خمسة واحد الـ
+
+635
+00:57:46,280 --> 00:57:48,920
+least significant digit والسبعة هي الـ most
+
+636
+00:57:48,920 --> 00:57:55,200
+significant digit تمام في النظام في الـ positional
+
+637
+00:57:55,200 --> 00:57:59,560
+system في عندي أساس في عندي base بما إنّ إحنا
+
+638
+00:57:59,560 --> 00:58:07,720
+بنستخدم نظام العشري الـ decimal يعني
+
+639
+00:58:07,720 --> 00:58:08,660
+الـ base تبعتنا
+
+640
+00:58:12,690 --> 00:58:18,550
+عشرة طيب الآن مع كل الـ positional system مع أيّ
+
+641
+00:58:18,550 --> 00:58:21,730
+positional system لازم يكون في عندك base لازم يكون 
+
+642
+00:58:21,730 --> 00:58:27,710
+في عندك أساس للنظام الأساس هذا بترتب عليه شغلتين
+
+643
+00:58:27,710 --> 00:58:33,670
+مهمات جدًا عدد الـ digits الموجودة في النظام والـ
+
+644
+00:58:33,670 --> 00:58:37,050
+values تبعت الـ digit هذه حسب المنزل اللي حتكون 
+
+645
+00:58:37,050 --> 00:58:41,150
+موجودة في العدد اللي بينتمي للنظام لما أنا بأجي 
+
+646
+00:58:41,150 --> 00:58:43,570
+بتكلم على الـ decimal نظام العدد العشري اللي إحنا 
+
+647
+00:58:43,570 --> 00:58:50,070
+بنستخدمه من اسمه عشرة أول حاجة إن الأرقام اللي
+
+648
+00:58:50,070 --> 00:58:56,410
+موجودة في النظام هذا حتكون أكبر من صفر وأقل من 
+
+649
+00:58:56,410 --> 00:59:01,190
+عشرة أكبر أو تساوي صفر عفواً وأقل من العشرة
+
+650
+00:59:04,760 --> 00:59:07,340
+عشان هيك بنقول الأرقام اللي عندنا في النظام العشري
+
+651
+00:59:07,340 --> 00:59:13,200
+صفر أو الـ digit اثنين واحد اثنين ثلاثة أربعة خمسة
+
+652
+00:59:13,200 --> 00:59:20,000
+ستة سبعة ثمانية تسعة ممنوع خلاص ولو عدّيتهم هدول
+
+653
+00:59:20,000 --> 00:59:25,100
+هم عشرة أرقام كيف؟
+
+654
+00:59:25,100 --> 00:59:30,680
+مجموعهم عشرة أرقام عفواً عددهم عشرة أرقام مجموعهم لا 
+
+655
+00:59:30,680 --> 00:59:36,910
+يصيب عشرة أكثر من عشرة أو كثير نعم. آخر معلومة الأولى
+
+656
+00:59:36,910 --> 00:59:42,410
+نقطة بتكلم على الـ Base كل نظام positional system 
+
+657
+00:59:42,410 --> 00:59:48,470
+تمام فيه أساس بنسميه الـ Base الـ Base هذا بيحدد 
+
+658
+00:59:48,470 --> 00:59:53,890
+شغلتين الشغل الأولى عدد الـ digits عدد الأرقام 
+
+659
+00:59:53,890 --> 01:00:00,530
+المستخدمة في النظام وهي دائمًا محصورة ما بين الصفر
+
+660
+01:00:00,530 --> 01:00:05,490
+أكبر أو تساوي صفر وأقل من قيمة الـ base الـ base
+
+661
+01:00:05,490 --> 01:00:09,590
+اللي عندي هنا عشرة الـ digits اللي موجودات حتكون 
+
+662
+01:00:09,590 --> 01:00:13,850
+أكبر أو تساوي صفر وأقل من عشرة يعني الأرقام
+
+663
+01:00:13,850 --> 01:00:21,530
+المحصورة من صفر لتسعة تخيل لو أنا بدي أعمل نظام
+
+664
+01:00:21,530 --> 01:00:23,330
+على الـ base سبعة
+
+665
+01:00:26,500 --> 01:00:31,980
+مباشرة الأرقام اللي عندي صفر واحد اثنين ثلاثة أربعة
+
+666
+01:00:31,980 --> 01:00:40,360
+خمسة ستة وبس هدف موضوع النظام الشغلة الثانية اللي
+
+667
+01:00:40,360 --> 01:00:47,040
+بتترتب على الـ base قيمة كل عنصر منزلته حتتغير تبقى
+
+668
+01:00:47,040 --> 01:00:52,080
+لمين للـ base الـ earth's least significant digit
+
+669
+01:00:52,080 --> 01:01:01,560
+اللي هي الأربعة بتبدأ عبارة عن الـ base أس صفر الـ
+
+670
+01:01:01,560 --> 01:01:04,480
+least significant digit زي ما كتبناها قبل شوية هاد 
+
+671
+01:01:04,480 --> 01:01:09,480
+هيك مش هاد الـ least significant digit هاد قيمتها
+
+672
+01:01:09,480 --> 01:01:16,300
+مبروك عبارة عن أربعة ضرب الـ base عشرة أس صفر عشرة
+
+673
+01:01:16,300 --> 01:01:21,140
+أس صفر كده يا شباب واحد يعني أربعة الخانة اللي بعديها
+
+674
+01:01:21,140 --> 01:01:29,990
+زائد ثلاثة ضرب عشرة أقص واحد زائد اثنين ضرب عشرة
+
+675
+01:01:29,990 --> 01:01:36,090
+أقص اثنين زائد واحد ضرب عشرة أقص ثلاثة مش هو هذا
+
+676
+01:01:36,090 --> 01:01:38,990
+واقع الآحاد والعشرات والمئات والآلاف اللي بيتكلم
+
+677
+01:01:38,990 --> 01:01:43,790
+عليه اللي بيحكمه الـ base بما إنه حطينا المثال هذا
+
+678
+01:01:43,790 --> 01:01:49,750
+تعالى نشوف على السريع هيك لو كتبت لك أنا اثنين واحد
+
+679
+01:01:49,750 --> 01:01:56,870
+أربعة هذا النظام معمول على بيز سبعة جدّيش الـ value
+
+680
+01:01:56,870 --> 01:02:04,870
+تبعته أو بين جثتين الواحد هذه جدّيش قيمتها واحد
+
+681
+01:02:04,870 --> 01:02:08,450
+تعالى نحللها بنفس الـ moment يا صاحبي هذه تساوي
+
+682
+01:02:08,450 --> 01:02:14,430
+أربعة اللي هي least significant digit ضرب سبعة أقص
+
+683
+01:02:14,430 --> 01:02:24,850
+صفر زائد واحد ضرب سبعة أقص واحد زائد اثنين ضرب سبعة 
+
+684
+01:02:24,850 --> 01:02:31,050
+أقص اثنين هواتف يساوي أربعة أربعة في واحد زائد واحد 
+
+685
+01:02:31,050 --> 01:02:35,570
+في سبعة زائد واحد وأربعين تسعة وأربعين ولا أحد 
+
+686
+01:02:35,570 --> 01:02:41,910
+تسعة وأربعين تسعة وأربعين في اثنين ثمانية وتسعين
+
+687
+01:02:41,910 --> 01:02:47,980
+فبتكلم على مية وجدّيش مية وشوية أنا عارف مية وشوية 
+
+688
+01:02:47,980 --> 01:02:56,840
+مئتان وتسعة بالـ decimal هذا الرقم الواحد الآن هذا
+
+689
+01:02:56,840 --> 01:03:02,520
+جدّيش قيمته في النظام السابع سبعة تخيل لو كانت بدل 
+
+690
+01:03:02,520 --> 01:03:07,760
+هذه اثنين ما أهمّش نغيّر هيك على السريع فبتصير الـ digit
+
+691
+01:03:07,760 --> 01:03:10,120
+هذا قيمته أربعة عشر بالـ decimal اللي أنا بعرفها
+
+692
+01:03:10,120 --> 01:03:15,240
+برجع بعيد ثاني كمان مرة بناء على الـ base لأيّ عدد
+
+693
+01:03:16,150 --> 01:03:22,070
+بتحدد شغلتين الأولى عدد الـ digits الموجودين في
+
+694
+01:03:22,070 --> 01:03:26,570
+نظام العد هذه وهي محصورة من الصفر للـ base ناقص 
+
+695
+01:03:26,570 --> 01:03:34,630
+واحد. اثنين منزلة كل digit تحدد بالـ base أس الـ
+
+696
+01:03:34,630 --> 01:03:36,690
+position اللي هو موجود فيه ناقص واحد 
+
+697
+01:03:42,470 --> 01:03:45,770
+بس العدد دي يبدأ من واحد إحنا عندنا، مظبوط؟ مش هاد 
+
+698
+01:03:45,770 --> 01:03:50,350
+أول answer مش هاد الـ first position واحد نقص واحد
+
+699
+01:03:50,350 --> 01:03:55,010
+صفر هاد المنزل الثاني الـ second، مظبوط؟ اثنين نقص 
+
+700
+01:03:55,010 --> 01:03:59,930
+واحد واحد وهكذا بتكاشي الكلام الفلسفي خالص و
+
+701
+01:03:59,930 --> 01:04:03,730
+اللغة الخالص سيّبك منه بتمسك ال least significant
+
+702
+01:04:03,730 --> 01:04:09,250
+digit بتحب ده القصة تبعه من صفر و بتبدأ تطلع plus
+
+703
+01:04:09,250 --> 01:04:14,630
+one بكل الاتجاهات اللي موجودة عندك هنا تمام؟ طيب
+
+704
+01:04:14,630 --> 01:04:20,630
+عشان ما بدناش نختم بشغلة صعبة تمام؟ أنا هقول إن
+
+705
+01:04:20,630 --> 01:04:24,090
+المحاضرة هدققنا فيها الآن، والمحاضرة الجاية هنبدأ من
+
+706
+01:04:24,090 --> 01:04:27,890
+عند نفس النقطة إن شاء الله تبارك وتعالى، في حد عنده
+
+707
+01:04:27,890 --> 01:04:29,730
+أي سؤال يا شباب؟ فضل
+
+708
+01:04:35,950 --> 01:04:40,170
+لأ نفس القصة يا أستاذ هي هنا عشرة لما وزعتها هنا
+
+709
+01:04:40,170 --> 01:04:44,790
+عشرة أقص صفر، عشرة أقص واحد، عشرة أقص اتنين، عشرة أقص 
+
+710
+01:04:44,790 --> 01:04:49,430
+ثلاثة، هان سبعة أقص صفر، سبعة أقص واحد، سبعة أقص
+
+711
+01:04:49,430 --> 01:04:51,950
+اتنين، نفس النظام وبضرب وبجمع الأرقام اللي موجودة
+
+712
+01:04:51,950 --> 01:04:55,950
+نفس
+
+713
+01:04:55,950 --> 01:04:59,230
+النظام هي هي القانون، أنا بدي أصلح للقانون هذا من
+
+714
+01:04:59,230 --> 01:05:02,710
+خلال الأرقام بس تكون ايش خدت القانون صح؟ اه نعم
+
+715
+01:05:05,870 --> 01:05:08,350
+أنا قلت لك إن الـ base يبقى في الساعة حصة عشرة أو
+
+716
+01:05:08,350 --> 01:05:13,310
+تسعة، حصة عشرة أو تسعة، حصة عشرة أو تسعة، حصة عشرة أو
+
+717
+01:05:13,310 --> 01:05:14,150
+تسعة، حصة عشرة أو تسعة، حصة عشرة أو تسعة، حصة عشرة أو
+
+718
+01:05:14,150 --> 01:05:14,370
+تسعة، حصة عشرة أو تسعة، حصة عشرة أو تسعة، حصة عشرة أو
+
+719
+01:05:14,370 --> 01:05:16,910
+تسعة، حصة عشرة أو تسعة، حصة عشرة أو تسعة، حصة عشرة أو
+
+720
+01:05:16,910 --> 01:05:21,210
+تسعة، حصة عشرة أو تسعة، حصة عشرة أو تسعة، حصة عشرة أو
+
+721
+01:05:21,210 --> 01:05:31,410
+تسعة، حصة عشرة أو تسعة، حصة عشرة أو تسعة، حصة عشرة 
+
+722
+01:05:35,960 --> 01:05:40,240
+بحدد شغلتين، الأولى عدد الـ digits في النظام، واتنين
+
+723
+01:05:40,240 --> 01:05:46,200
+قيمة كل digit في الرقم، القيمة اللي أنا بفهمها ولا
+
+724
+01:05:46,200 --> 01:05:48,640
+لأ، المحاضرة اللي جاية إن شاء الله كمان بنأكد لك 
+
+725
+01:05:48,640 --> 01:05:51,680
+عليها بإذن الله، في أي سؤال تاني يا شباب؟ الله يعطيكوا
+
+726
+01:05:51,680 --> 01:05:53,260
+العافية، ونشوفكوا إن شاء الله يوم الأحد الجاي
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/hvti4JFQCF0_postprocess.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/hvti4JFQCF0_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..aeafa8e68f727684a5b83d337e3b61cbdc65aebe
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/hvti4JFQCF0_postprocess.srt
@@ -0,0 +1,2904 @@
+1
+00:00:21,280 --> 00:00:23,500
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:23,500 --> 00:00:26,800
+أهلا وسهلا بكم يا شباب وحضرتنا التانية في مادة
+
+3
+00:00:26,800 --> 00:00:31,000
+رياضيات للوساط المتعددة أو بشكل أدق Mathematics
+
+4
+00:00:31,000 --> 00:00:35,000
+for Computer Graphics واليوم هنتكلم على أول
+
+5
+00:00:35,000 --> 00:00:39,310
+chapter عملي فعليا إيه لنا في المادةلكن في ترتيب
+
+6
+00:00:39,310 --> 00:00:43,530
+الكتاب عشان ما تتخربطش الكتاب مرتبط chapter التاني
+
+7
+00:00:43,530 --> 00:00:46,790
+ال chapter الأول محاول يجاوب بعض الشغلات شو يعني
+
+8
+00:00:46,790 --> 00:00:49,510
+هل الرياضيات صعبة مش صعبة احنا ايش بدنا في الكتاب
+
+9
+00:00:49,510 --> 00:00:54,310
+الرموز بعض الرموز الرياضيات معرفها احنا كل رمز
+
+10
+00:00:54,310 --> 00:00:57,690
+حينه بنستخدمه بنطلق عليه اسمه ان شاء الله مباشرة
+
+11
+00:00:57,690 --> 00:01:02,530
+هندخل في المواضيع البسيطة وطبعا اول موضوع اليوم
+
+12
+00:01:02,530 --> 00:01:07,170
+عندنا زي ما حكينا هو موضوع ال numbers الاعداد ايش
+
+13
+00:01:07,170 --> 00:01:13,510
+الاعداد يا شباب؟أعداد من كتر ما هي trivial و بسيطة
+
+14
+00:01:13,510 --> 00:01:17,870
+أو أساسية في حياتنا، تمام؟ أصبح ما نقدرش نتكلم
+
+15
+00:01:17,870 --> 00:01:22,250
+فعليا، ما نقدرش نجيب لها تعريف ثابت و واضح، شو هي
+
+16
+00:01:22,250 --> 00:01:26,530
+الأعداد، مصبوط؟ يعني إذا أنت بتقولي اللي هي
+
+17
+00:01:26,530 --> 00:01:28,030
+الأرقام من صفر للتسعة
+
+18
+00:01:30,820 --> 00:01:33,800
+انت ماتيبتش ال .. هي انت تتكلم عن ال digit هي
+
+19
+00:01:33,800 --> 00:01:36,820
+الرموز اللي من صفر لتسعة وبكتب فيها عشان امثل
+
+20
+00:01:36,820 --> 00:01:42,180
+quantity او كمية معينة تمام؟ وانا لو انا كمان مرة
+
+21
+00:01:42,180 --> 00:01:45,320
+سألتني ايش يعني رقم او ايش يعني عدد فعليا هتحس
+
+22
+00:01:45,320 --> 00:01:50,480
+حالك انك انت يعني ايش الهواء؟ شو يعني هواء؟ شو
+
+23
+00:01:50,480 --> 00:01:54,920
+يعني ميه؟ مصبوط؟ هذه أصبحت من البديهيات في حياتنا
+
+24
+00:01:55,660 --> 00:02:00,520
+وحنشوف اليوم مع بعض تفصيلات كتيرة للأعداد أو جدولة
+
+25
+00:02:00,520 --> 00:02:05,240
+تعوط الرياضيات عشان إما يسهلوا الأمور اللي بدهم
+
+26
+00:02:05,240 --> 00:02:09,040
+يشتغلوا عليها أو عشان يوضحوا شغلة معينة هنشوف من
+
+27
+00:02:09,040 --> 00:02:12,660
+الأعداد الطبيعية والأعداد الصحيحة لأعداد الأولية
+
+28
+00:02:12,660 --> 00:02:17,620
+الأعداد النسبية الغير نسبية لأعداد الحقيقية
+
+29
+00:02:17,620 --> 00:02:21,960
+والتخيلية والأعداد المركبة وكل واحد هنشوفه ان شاء
+
+30
+00:02:21,960 --> 00:02:30,610
+الله ضمن الموجودبشكل أساسي ال visual cortex في
+
+31
+00:02:30,610 --> 00:02:35,550
+الدماغ أو القشرة البصرية اللي في الدماغ بتشتغل على
+
+32
+00:02:35,550 --> 00:02:39,210
+العدد بشكل تلقائي عشان هيك بيقولك العدد بشكل بديهي
+
+33
+00:02:39,210 --> 00:02:43,710
+لو أتينا يا شباب لقفل، تمام؟ صغير، خلنا نقول
+
+34
+00:02:43,710 --> 00:02:47,970
+سنتين، يعني دوبه بيجف على رجليه، دوبه بيعرف يأكل،
+
+35
+00:02:47,970 --> 00:02:55,610
+تمام؟ وروحنا أخدنا حبتين شوكراطا، أديناهم إلهودينا
+
+36
+00:02:55,610 --> 00:03:01,350
+أخوه أو جاره او كذا تلاتة او اربعة الفكرة ان انا
+
+37
+00:03:01,350 --> 00:03:05,590
+بدي ادي واحد منهم اكتر من التاني شوراك هل الصغير
+
+38
+00:03:05,590 --> 00:03:08,590
+هذا اللي اخد تنتين هيشعر بالغيرة لان كمية الاتنين
+
+39
+00:03:08,590 --> 00:03:13,480
+ايديه اقل ولا شوراكه؟وهذا بأكد على إن مفهوم
+
+40
+00:03:13,480 --> 00:03:19,280
+الأعداد بديهي و بديهي جدا و هتلاحظ أو هيكون سلوك
+
+41
+00:03:19,280 --> 00:03:22,940
+الطفل أنه هيحاول ياخد منه أو هيطلب منك المزيد و لو
+
+42
+00:03:22,940 --> 00:03:26,320
+لسانه طويل شوية هيقولكش معنى هو أكتر مني أخد و هذا
+
+43
+00:03:26,320 --> 00:03:29,780
+كلام طبيعي جدا عشان هيك موضوع الأعداد بالنسبة لنا
+
+44
+00:03:29,780 --> 00:03:33,200
+طبيعية جدا و كتير من الأحيان تكون تلاقي في بعض
+
+45
+00:03:33,200 --> 00:03:37,340
+الناس المهارة هذه أو قدرة تتطور بشكل كبير جدا ممكن
+
+46
+00:03:37,340 --> 00:03:41,070
+يتطلع في المجموعة بشكل بسيط هيك بدون ما يعدبيجيب
+
+47
+00:03:41,070 --> 00:03:45,530
+ويقولك والله الموجودين الخمسين كل
+
+48
+00:03:45,530 --> 00:03:49,050
+plus minus لكن ال .. ال .. ال .. نسبة الخطأ قليلة
+
+49
+00:03:49,050 --> 00:03:54,540
+جدا تمام بعد هيكلما بدنا نروح الراوضة أو البستان و
+
+50
+00:03:54,540 --> 00:03:58,260
+بدنا نتكلم شوية بدوا الوالدين الله يرضى عنهم و
+
+51
+00:03:58,260 --> 00:04:01,100
+يختملهم بالخير او يرحمهم لو كانوا متوفين او واحد
+
+52
+00:04:01,100 --> 00:04:04,480
+منهم بدوا يعلمون اعد واحد اتنين احنا في الاول
+
+53
+00:04:04,480 --> 00:04:07,640
+بنعرف الكمية هذه اقل من هذه و بنقدر نقارنها لكن
+
+54
+00:04:07,640 --> 00:04:11,960
+بدنا نبعد شوية نعد واحد اتنين تلاتة و كل ما نتذكر
+
+55
+00:04:11,960 --> 00:04:16,570
+واحدتلاتة اعد على صعبك عشان ماتنساش مصدر ولا لأ
+
+56
+00:04:16,570 --> 00:04:19,810
+وهذه فعليا بدت معاني الأعداد تتبع معاني العفل
+
+57
+00:04:19,810 --> 00:04:23,210
+الأعداد بغض النظر روحت جامعة روحت مدرسة او ما
+
+58
+00:04:23,210 --> 00:04:27,690
+روحتش الكل بيعرف يعد و بنبدأ نربطها بالاشياء اللي
+
+59
+00:04:27,690 --> 00:04:34,630
+احنا بنعدها تمام الآن مجموعات الأعداد اللي هي مدخل
+
+60
+00:04:34,630 --> 00:04:38,050
+او الشغل الرئيسي اللي هيكون عندنا اليوم هي عبارة
+
+61
+00:04:38,050 --> 00:04:43,460
+عن collection المجموعة بشكل عام مجموعةCollection
+
+62
+00:04:43,460 --> 00:04:45,900
+of arbitrary objects مجموعة من الأشياء، إيش ما
+
+63
+00:04:45,900 --> 00:04:49,420
+كانت الأشياء؟ مجموعة من الجلام، مجموعة من الكتب،
+
+64
+00:04:49,420 --> 00:04:51,640
+مجموعة من الطلاب، مجموعة من السيارات، مجموعة من
+
+65
+00:04:51,640 --> 00:04:56,960
+المباني، بس بينفعش .. بينفعش أجي أقول مجموعة فيها
+
+66
+00:04:56,960 --> 00:04:59,640
+جلم و سيارة و شنطة و .. إيه الجلم اللي عايز يقول؟
+
+67
+00:04:59,640 --> 00:05:04,180
+والله فيه عنده مجموعة أدوات مدرسية، تمام؟ بصير في
+
+68
+00:05:04,180 --> 00:05:08,280
+.. لكن ال objects هذه وإن كانت arbitrary، تمام؟
+
+69
+00:05:08,280 --> 00:05:11,240
+المفهوم ال arbitrary إن هم مش جايات زي بعض أو
+
+70
+00:05:11,240 --> 00:05:16,630
+typicalبس فيه فيه تشابه ما بين العناصر وعناصر
+
+71
+00:05:16,630 --> 00:05:20,650
+المجموعة بنسميهم اما members او ال elements على
+
+72
+00:05:20,650 --> 00:05:23,750
+سبيل المثال بقول set of my books مجموعة الكتب
+
+73
+00:05:23,750 --> 00:05:28,090
+تبعتي انت تخيل يا شباب لو كان في عندك عشر نسخ من
+
+74
+00:05:28,090 --> 00:05:33,390
+نفس الكتابعشر نسخ من نفس الكتاب تقدر تقول ان عندي
+
+75
+00:05:33,390 --> 00:05:37,210
+مجموعة كتب لهو كتاب واحد اللي عندك او بتقدر تقول
+
+76
+00:05:37,210 --> 00:05:40,110
+في عندي مجموعة كتب لكن فيها كتاب واحد لان عشان
+
+77
+00:05:40,110 --> 00:05:45,470
+تكون دقيقه صحيح مجموعة الأعداد الطبيعية مجموعة
+
+78
+00:05:45,470 --> 00:05:47,690
+الأعداد الطبيعية اللي احنا بنعرفها من الصغر اللي
+
+79
+00:05:47,690 --> 00:05:51,010
+عاما اللي بنتكلم عليها لما انا بديت اعد ماكانوش
+
+80
+00:05:51,010 --> 00:05:53,890
+يقولولي عد من الصفر او ماكانوش يقولولي عد من
+
+81
+00:05:53,890 --> 00:05:58,090
+السالب واحدتبدأ العد من الواحد بفعلية من الواحد
+
+82
+00:05:58,090 --> 00:06:01,930
+لأنه ما قبل الواحد مافيش شيء مافيش شيء ملموس حتى
+
+83
+00:06:01,930 --> 00:06:05,650
+عشان انا اقدر اميزه من الصغير اما اخدت حبة شوكولات
+
+84
+00:06:05,650 --> 00:06:10,370
+او ماخدتهاش وبالتالي ال natural number من هنا جاء
+
+85
+00:06:10,370 --> 00:06:14,010
+اسمها الأعداد الطبيعية اللي هي موجودة على طبيعة
+
+86
+00:06:14,010 --> 00:06:19,610
+الإنسان وسجيته و الفطرة اللي موجود عليها بعد ذلك
+
+87
+00:06:19,610 --> 00:06:24,790
+يا شباب بدل صنفه في الأعداد ومظموها ضمن مجموعات
+
+88
+00:06:25,980 --> 00:06:28,880
+عشان يتصير connection و related زي ما قلنا قبل
+
+89
+00:06:28,880 --> 00:06:34,380
+شوية بشكل واو باخر مثل مجموعة الأعداد الحقيقية
+
+90
+00:06:34,380 --> 00:06:38,560
+مجموعة الأعداد الصحيحة مجموعة الأعداد الطبيعية و
+
+91
+00:06:38,560 --> 00:06:42,760
+كل مجموعة من الأعداد هي لها صفة معينة كل مجموعة من
+
+92
+00:06:42,760 --> 00:06:45,380
+الأعداد لها صفة معينة
+
+93
+00:06:49,170 --> 00:06:53,650
+في عندنا مبدأ اسمه set theory نظرية المجموعات
+
+94
+00:06:53,650 --> 00:06:58,830
+نظرية المجموعات هي عبارة عن مبدأ منطقي جدا بيتكلم
+
+95
+00:06:58,830 --> 00:07:02,690
+على المجموعات لما انا باجب اقول ان في عندى مجموعة
+
+96
+00:07:02,690 --> 00:07:06,130
+مجموعة
+
+97
+00:07:06,130 --> 00:07:12,110
+من الأقلام مجموعة من أقلام اللوح تمام؟
+
+98
+00:07:12,110 --> 00:07:18,840
+أخضر و أزرق و أحمر مين الأخضر حدث؟يعني الكلام اللي
+
+99
+00:07:18,840 --> 00:07:23,300
+أنا قلته فيه غلط ولا لا؟ ليش؟ لأنه فعليا الأخضر لا
+
+100
+00:07:23,300 --> 00:07:27,660
+ينتمي للمجموعة اللي أنا عندي وبكل بساطة .. بكل
+
+101
+00:07:27,660 --> 00:07:32,540
+بساطة نظرية المجموعات بتدور حوالين العنصر ينتمي
+
+102
+00:07:32,540 --> 00:07:35,740
+للمجموعة ولا لا ينتمي بعدين بقول أنا الجلم الأخضر
+
+103
+00:07:35,740 --> 00:07:41,440
+ينتمي للمجموعة غلط وبالتالي القلم الأخضر لا ينتمي
+
+104
+00:07:41,440 --> 00:07:45,040
+للمجموعة هذا الكلام صحالقلم الأزرق ينتمي إلى
+
+105
+00:07:45,040 --> 00:07:48,740
+المجموعة صح لو انا اتكلمت ان انا في عندى مجموعتين
+
+106
+00:07:48,740 --> 00:07:51,060
+من الاجلام المبدأ التاني احنا في المبدأ الأول في
+
+107
+00:07:51,060 --> 00:07:54,340
+المجموعه اللي قولنا ينتمي و لا ينتمي المبدأ التاني
+
+108
+00:07:54,340 --> 00:07:59,420
+في نظرية المجموعات بتكلم على التقاطع التقاطع بين
+
+109
+00:07:59,420 --> 00:08:03,740
+المجموعتين اليونان و اليسار أزرق و أسود مصبوط
+
+110
+00:08:03,740 --> 00:08:06,200
+اتنين الاتحاد
+
+111
+00:08:08,700 --> 00:08:12,380
+الخامسة غلط تكرار العنصر في المجموعة لا يعني شيء
+
+112
+00:08:12,380 --> 00:08:16,760
+قبل شوية ضربناك مثل الكتاب لو كنا فيه عشر كتب أو
+
+113
+00:08:16,760 --> 00:08:22,260
+عشر نسخ من نفس الكتاب واحد وبالتالي هذه المجموعة
+
+114
+00:08:22,260 --> 00:08:29,880
+كم عنصر فيها تلاتة أسود أزرق أحمر طب يا دكتور ما
+
+115
+00:08:29,880 --> 00:08:32,380
+هدول مكررات التكرار لا يعني شيء يا صاحبي انت لم
+
+116
+00:08:32,380 --> 00:08:36,500
+تقل في أي جديد للمجموعة اللي عندك نرجع مرة تانية
+
+117
+00:08:37,320 --> 00:08:41,360
+جرّب تقاطة في الأزرق والأسود، أصبعط؟ الاتحاد،
+
+118
+00:08:41,360 --> 00:08:44,380
+التلاتة هدول، لو كان في أخضر في المجموعة و أصفر
+
+119
+00:08:44,380 --> 00:08:48,300
+high، بصير بالنفو، ففي الاتحاد بجمع العناصر
+
+120
+00:08:48,300 --> 00:08:54,400
+المختلفة فقط، تمام، طيب، الفرق، المجموعة ألف اللي
+
+121
+00:08:54,400 --> 00:08:57,460
+في اليسار، بقاشف تفرق في المجموعة البالي في
+
+122
+00:08:57,460 --> 00:09:00,840
+اليمين؟
+
+123
+00:09:00,840 --> 00:09:06,830
+ماشي للحالة، كيكاللي فيها أحمر سميها ألف واللي
+
+124
+00:09:06,830 --> 00:09:11,170
+مافيش فيها الأحمر ساميها باد المجموعة ده إيش بتفرج
+
+125
+00:09:11,170 --> 00:09:14,370
+عن المجموعة ألف؟ فارفعش .. فارفعش .. فارفعش ..
+
+126
+00:09:14,370 --> 00:09:16,210
+فارفعش .. فارفعش .. فارفعش .. فارفعش .. فارفعش ..
+
+127
+00:09:16,210 --> 00:09:18,310
+فارفعش .. فارفعش .. فارفعش .. فارفعش .. فارفعش ..
+
+128
+00:09:18,310 --> 00:09:19,750
+فارفعش .. فارفعش .. فارفعش .. فارفعش .. فارفعش ..
+
+129
+00:09:19,750 --> 00:09:22,950
+فارفعش .. فارفعش .. فارفعش .. فارفعش .. فارفعش ..
+
+130
+00:09:22,950 --> 00:09:28,510
+فارفعش .. فارفعش .. فارفعش .. فارفعش .. فارفعش ..
+
+131
+00:09:28,510 --> 00:09:33,710
+فارفعش
+
+132
+00:09:34,860 --> 00:09:39,840
+لأ لكن لما باجي بقول المجموعة ألف بتتميز عن
+
+133
+00:09:39,840 --> 00:09:44,240
+المجموعة باه وهالتميز أو الفرق احنا بنسمي ال
+
+134
+00:09:44,240 --> 00:09:48,240
+difference الاختلاف A نقص ال B A تختلف عن ال B
+
+135
+00:09:48,240 --> 00:09:53,240
+بإيش؟ و A نقص ال B لا تساوي B ناقص ال A من نظرية
+
+136
+00:09:53,240 --> 00:09:58,300
+المجموعات كذلك بنتكلم ان عملية الاتحاد عملية
+
+137
+00:09:58,300 --> 00:10:05,660
+إبدالية يعني بتقدر تكتب المجموعتين A اتحاد Bيساوي
+
+138
+00:10:05,660 --> 00:10:20,160
+باتحاد A A تقاطع الـ B يساوي بتقاطع الـ A A نقص
+
+139
+00:10:20,160 --> 00:10:26,220
+الـ B لا يساوي الـ B نقص الـ A إلا لو كانت الاتنين
+
+140
+00:10:26,220 --> 00:10:27,180
+متساويات
+
+141
+00:10:32,190 --> 00:10:39,930
+الكلام اللي بقوله واضح لشباب الحمد لله تمام ترجعوا
+
+142
+00:10:39,930 --> 00:10:46,450
+مكانكم لما
+
+143
+00:10:46,450 --> 00:10:53,920
+باجي بتكلم على will ordered setwill ordered set
+
+144
+00:10:53,920 --> 00:10:59,220
+will ordered يعني مرتبة مجموعة مرتبة بالمناسبة
+
+145
+00:10:59,220 --> 00:11:05,020
+ترتيب العناصر في المجموعة لا يعني شيء يا شباب أزرق
+
+146
+00:11:05,020 --> 00:11:11,820
+أسود أحمر أسود أحمر أزرق لو أنا دي أسألتك قداش عدد
+
+147
+00:11:11,820 --> 00:11:20,680
+العناصر تلاتة ترتيب زاد شي أو وير شيتمام الان في
+
+148
+00:11:20,680 --> 00:11:23,460
+ال word ordered set هي المجموعات اللي تكون في
+
+149
+00:11:23,460 --> 00:11:32,060
+عندها او بتتبع ترتيب وحيد حسب ال natural number
+
+150
+00:11:32,060 --> 00:11:36,380
+حسب ال natural او مثل ال natural number زي الاعداد
+
+151
+00:11:36,380 --> 00:11:43,020
+الان لو انا اجيت قلتلك اذكرني او مجموعة من الاعداد
+
+152
+00:11:43,020 --> 00:11:47,400
+الاولية من الاعداد عفوا الطبيعية شو هتساوي؟هتقولي
+
+153
+00:11:47,400 --> 00:11:52,600
+واحد اتنين تلاتة هقولك لو يجيب يعملنا استفتاء في
+
+154
+00:11:52,600 --> 00:11:56,800
+البشرية كلها الدولة مجموعة أعداء طبيعية مش هتلاقي
+
+155
+00:11:56,800 --> 00:12:00,280
+يقولوا واحد يقولوا واحد خمسة ستة سبعة تسعة لأ
+
+156
+00:12:00,280 --> 00:12:05,500
+هتلاقي انه فعليا انت مشيتي بشكل مرتب ليش؟ لأنه
+
+157
+00:12:05,500 --> 00:12:08,720
+فعليا الواحد لها معنى عن التنين بتفرج عن التنين
+
+158
+00:12:08,720 --> 00:12:13,760
+بصبور و بتفرج عن التلاتة على خلاف هدولبصبورت يعني
+
+159
+00:12:13,760 --> 00:12:17,640
+عراصر المجموعات او ال numbers المجموعات الرقمية او
+
+160
+00:12:17,640 --> 00:12:22,880
+الأرقام او الاعداد في المجموعات بتفرج ان كل عنصر
+
+161
+00:12:22,880 --> 00:12:28,570
+فيه معنى طيب لو انا اجيت قلتلكبدي تديني مجموعة من
+
+162
+00:12:28,570 --> 00:12:32,590
+الأعداد الفردية ايش هتساوي؟ هتقول ليه؟ هتقول لي
+
+163
+00:12:32,590 --> 00:12:38,270
+واحد و تلاتة و خمسة و سبعة ممتاز لاحظ الترتيب اللي
+
+164
+00:12:38,270 --> 00:12:42,170
+انت اتكلمت فيه انا بفهم منه مباشرة ان الواحد هو
+
+165
+00:12:42,170 --> 00:12:49,250
+أول عدد فردي التلاتة تاني عدد فردي الخمسة تالت و
+
+166
+00:12:49,250 --> 00:12:54,690
+هكذا لاحظ انه اتكلمت انت على well-ordered طيب لو
+
+167
+00:12:54,690 --> 00:13:01,050
+جينا نتكلم على الأعداد الأولية كذلك2 .. 3 .. 5 ..
+
+168
+00:13:01,050 --> 00:13:08,930
+7 .. 11 .. 13 .. 17 .. 23 .. وضلك ماشي، مصبوط؟ هذه
+
+169
+00:13:08,930 --> 00:13:11,150
+المجموعات اللي موجودة عندها، الأعداد الأولية
+
+170
+00:13:11,150 --> 00:13:15,610
+وبالتالي صرت أنا أتكلم في معنى نظرية الأعداد أو في
+
+171
+00:13:15,610 --> 00:13:20,160
+ال well-ordered set numbersصرت بتكلم على منزلة،
+
+172
+00:13:20,160 --> 00:13:24,220
+قيمة الرقم هذا كده؟ أول رقم مين في المجموعة؟ تاني
+
+173
+00:13:24,220 --> 00:13:27,360
+رقم مين؟ انت صارت تفرج معايا الأمور، قبل شوية لما
+
+174
+00:13:27,360 --> 00:13:31,660
+اتكلمت عن مجموعة الإجلام و ألوانهم، لأ يعني شيء،
+
+175
+00:13:31,660 --> 00:13:36,040
+بس هان في المجموعات الأرقام، لأ الترتيب بصير يعني
+
+176
+00:13:36,040 --> 00:13:39,000
+أنا بعرف منه العدد الأول والعدد التاني والعدد
+
+177
+00:13:39,000 --> 00:13:44,940
+التالت، وعشان هيك لو أنا بجيت سألتك إيش تالت عدد
+
+178
+00:13:44,940 --> 00:13:50,690
+أولي؟مباشرة هتبدأ تعمل ال processing وتديني الجواب
+
+179
+00:13:50,690 --> 00:13:56,730
+هو الصح خمسة لأنه الاتنين عدد أول اتنين ثلاثة خمسة
+
+180
+00:13:56,730 --> 00:14:01,070
+وبالتالي تالت عدد لاحظت قلتلك انا تالت دليل على ان
+
+181
+00:14:01,070 --> 00:14:06,490
+المجموع مرتبة والترتيب صار بهمني لو اجيت سؤالتك
+
+182
+00:14:06,490 --> 00:14:12,090
+ايش خمس عدد زوجي في الاعداد الصحيحة العشرة العشرة
+
+183
+00:14:12,090 --> 00:14:18,400
+وهكذا صارت عندي الاعداد well orderedأمور واضحة يا
+
+184
+00:14:18,400 --> 00:14:24,680
+شباب؟ تمام؟ في حد عنده أي سؤال؟ ولا نمشي خطوة؟
+
+185
+00:14:24,680 --> 00:14:28,160
+تمام بما أن أنا صرت بتكلم على الـ well-ordered
+
+186
+00:14:28,160 --> 00:14:32,160
+والترتيب الأساسي اللي عندي اللي انا اتعلمت وانا
+
+187
+00:14:32,160 --> 00:14:36,520
+صغير او اجا معايا بالفترة اللي هو العداد الطبيعية
+
+188
+00:14:36,520 --> 00:14:40,540
+فصرت اذا بقدر اعمل association بين ال well-ordered
+
+189
+00:14:40,540 --> 00:14:43,980
+set زي الـ P هذه الاعداد الأولية prime number
+
+190
+00:14:43,980 --> 00:14:46,300
+بالمناسبة P prime
+
+191
+00:14:53,380 --> 00:14:59,000
+عدد أولى prime number تمام فخلاص وين ما تسمع كلمة
+
+192
+00:14:59,000 --> 00:15:04,640
+prime أنا بتكلم على عدد أولى طب في حد بتذكر كلمة
+
+193
+00:15:04,640 --> 00:15:07,940
+prime وين ظهرت معانا أو وين مرت عليك في حياتك
+
+194
+00:15:07,940 --> 00:15:15,700
+بعيدا عن الأعداد في الجوالات غيره في الماشي
+
+195
+00:15:15,700 --> 00:15:22,760
+transformers عيني عليكمماشاء الله تمام وبالتاني
+
+196
+00:15:22,760 --> 00:15:26,960
+أنا الآن بقدر اعمل association ما بين الأعداد
+
+197
+00:15:26,960 --> 00:15:30,200
+الطبيعية لإن هي بتحكي الترتيب الأساسي اللي أنا
+
+198
+00:15:30,200 --> 00:15:33,500
+بعرفه العدد الأول التاني التالت الرابع الخامس
+
+199
+00:15:33,500 --> 00:15:37,840
+السادس بالمناسبة مجموعة الأعداد الطبيعية ما ظهرت
+
+200
+00:15:37,840 --> 00:15:43,900
+بالأساس إلا غير من أجل العدواحد اول عدد اول اتنين
+
+201
+00:15:43,900 --> 00:15:46,980
+وبالتالي لما اصير انا بقول هاي واحد هاي اتنين هاي
+
+202
+00:15:46,980 --> 00:15:51,160
+تلاتة هاي اربعة هاي خمسة بتكلم عن الترتيب ستة سبعة
+
+203
+00:15:51,160 --> 00:15:57,840
+تمانية تسعة عشرة احداشر اتناشر تلاتناشر اكمل لو
+
+204
+00:15:57,840 --> 00:16:04,400
+انا جيت سألتك ايش العدد اللي اول العاشر تسعة
+
+205
+00:16:04,400 --> 00:16:06,220
+وعشرين عفوا تسعة وعشرين
+
+206
+00:16:11,690 --> 00:16:16,010
+وبالتالي قلنا بنأكد على معلومة ان الأعداد أو نظرية
+
+207
+00:16:16,010 --> 00:16:20,590
+مجموعات الأعداد الترتيب فيها له معنى بالنسبة لنا
+
+208
+00:16:20,590 --> 00:16:24,950
+تمام الشغل التاني اللي انا باستفيدها من المعنى يا
+
+209
+00:16:24,950 --> 00:16:31,170
+شباب من معنى الترتيب او من الترتيب انه انا فعليا
+
+210
+00:16:31,170 --> 00:16:38,990
+في الأعداد الطبيعية الفرق بين كل عنصر والتاني واحد
+
+211
+00:16:38,990 --> 00:16:40,170
+يعني الآن
+
+212
+00:16:44,670 --> 00:16:49,350
+لو انا افترضت ان انا في MD المصفوفة هذه او الصندوق
+
+213
+00:16:49,350 --> 00:16:52,430
+هذا اللي فيه مجموعة من المنازل و بده رقمه من
+
+214
+00:16:52,430 --> 00:16:56,070
+الشمال طبيعي
+
+215
+00:16:56,070 --> 00:17:00,690
+اكيد عدالة طبيعية واحد اتنين الفرق من اتنين و واحد
+
+216
+00:17:00,690 --> 00:17:04,710
+قداشر تلاتة
+
+217
+00:17:04,710 --> 00:17:08,030
+مظبوط
+
+218
+00:17:08,030 --> 00:17:11,270
+برضه
+
+219
+00:17:11,270 --> 00:17:16,830
+واحد خمسةواحد وستة واحد وواحد وبالتالي صارت ال
+
+220
+00:17:16,830 --> 00:17:21,550
+sequence هي فعليا اللي بدأنا عليها من البداية واحد
+
+221
+00:17:21,550 --> 00:17:25,830
+اتنين تلاتة تتذكر دائما ال association ما بين
+
+222
+00:17:25,830 --> 00:17:31,190
+العناصر فعملية الترتيب و الترهاد العناصر خطرت او
+
+223
+00:17:31,190 --> 00:17:35,650
+صار في عندي أساس لعملية الجمع صار عندي ظهر أساس
+
+224
+00:17:35,650 --> 00:17:40,070
+عملية الجمع الفرق بين العنصر الأول والتاني واحد
+
+225
+00:17:40,070 --> 00:17:46,020
+الأمر في عندي مجموعة فيها جلمصار فيها اتنين جداش
+
+226
+00:17:46,020 --> 00:17:51,240
+الفرق بينما كانت اول واحد صار فيها تلاتة الآن برضه
+
+227
+00:17:51,240 --> 00:17:55,460
+واحد و كل ما بضيف انا add كل ما بضيف on sort هي
+
+228
+00:17:55,460 --> 00:18:00,080
+واحدة صار اتنين طب ممتاز لو انا بدي اضيف اتنين على
+
+229
+00:18:00,080 --> 00:18:02,920
+المجموعة مرة واحدة المجموعة فيها واحد الآن بدي
+
+230
+00:18:02,920 --> 00:18:08,740
+اضيف فيها اتنين طب ما هي اتنين أساسا واحد زائد
+
+231
+00:18:08,740 --> 00:18:14,200
+واحدولا لأ؟ وبالتالي صار في عندي مبدأ اليساوي أو
+
+232
+00:18:14,200 --> 00:18:19,540
+المساواة ومبدأ الجامع كان أساسه المجموعات و
+
+233
+00:18:19,540 --> 00:18:22,620
+الفرقات في المجموعات اللي موجودة عندى زيادة
+
+234
+00:18:22,620 --> 00:18:26,480
+العناصر في المجموعة زيادة العناصر في المجموعة اللي
+
+235
+00:18:26,480 --> 00:18:30,200
+أنا بدي أقوله بكل بساطة كمان مرة بعد ما صار في
+
+236
+00:18:30,200 --> 00:18:34,220
+عندي positional association في الmathematicsصار
+
+237
+00:18:34,220 --> 00:18:38,240
+الـ Position الأول، التاني، التالت، الرابع والفرق
+
+238
+00:18:38,240 --> 00:18:41,900
+بين الأول وبين التاني واحد أو الفرق بين كل اتنين
+
+239
+00:18:41,900 --> 00:18:47,700
+متتالين كان واحد هذا قدم إلينا للناس طبعا الشغال
+
+240
+00:18:47,700 --> 00:18:51,780
+في الرياضات من قبلنا مبدأ عملية الجمع اللي هو
+
+241
+00:18:51,780 --> 00:18:56,280
+بيعني one more مظبوط؟
+
+242
+00:18:56,280 --> 00:19:00,420
+وال equal هذه مثل كده لما أنا باجي بقول هاي واحد
+
+243
+00:19:00,420 --> 00:19:05,760
+زي كمان واحد زيادة عليهفأظهر للتنين اللي هو ال
+
+244
+00:19:05,760 --> 00:19:13,060
+second position بصبور طيب التنين هذه زائد الواحد
+
+245
+00:19:13,060 --> 00:19:18,000
+او الواحد هذه لو انا بدي ازيد عليها التنين ما هي
+
+246
+00:19:18,000 --> 00:19:25,460
+هذه equal is as the same as بتساوي اللي
+
+247
+00:19:25,460 --> 00:19:30,500
+هي مبدأ العد البسيط اللي رجعناله طيب الصفر
+
+248
+00:19:35,160 --> 00:19:41,420
+الصفران وجد على الرغم انه تاريخيا موجود من القدا
+
+249
+00:19:41,420 --> 00:19:45,900
+الا غير انه مايوش وجود في العد يعني الناس اللي
+
+250
+00:19:45,900 --> 00:19:50,240
+ابدعت في ال mathematics او في الرياضياتالكلام اللي
+
+251
+00:19:50,240 --> 00:19:54,300
+الآن يوصف للمسلمين أو العرب المسلمين جابر بن حيان
+
+252
+00:19:54,300 --> 00:19:56,760
+وغيره اللي هما ناقجوا لما أننا أول ما أجدوا الصفر
+
+253
+00:19:56,760 --> 00:19:59,500
+وفي بعض الناس .. في ناس صينيين مش قضيتنا كتير في
+
+254
+00:19:59,500 --> 00:20:03,540
+التاريخ الآن اللي بيعنيني أنت لما بدأني أتعلم العد
+
+255
+00:20:03,540 --> 00:20:08,640
+ما بدناش من صفر زي ما قلنا قبل شوية تمام؟ واحد خيب
+
+256
+00:20:08,640 --> 00:20:15,540
+بعد ما وصلنا العشرة هدول هذا إيش كان التمثيل تبعه؟
+
+257
+00:20:16,750 --> 00:20:20,630
+بواحد يعني بدنا نرجع ياش العيد الكربى مرة تانية
+
+258
+00:20:20,630 --> 00:20:24,970
+بعد هيك لأ طب هي تسعة واحد اتنين تلاتة اربعة خمسة
+
+259
+00:20:24,970 --> 00:20:30,630
+ستة اعمل association مع ال digit عند الأخيرمافيش
+
+260
+00:20:30,630 --> 00:20:33,650
+رمزي الموجود عندى الآن بدوا الآن بحاجة ايه؟ بدهم
+
+261
+00:20:33,650 --> 00:20:36,250
+عناصر اضيفة واحد يقول انا هيك بدي اعمل المجموعات
+
+262
+00:20:36,250 --> 00:20:39,370
+تبعك لما بدي اعدهم واحد اتنين تلاتة اربعة خمسة
+
+263
+00:20:39,370 --> 00:20:42,570
+واحد اتنين تلاتة اربعة خمسة بمشي الحاجة انت حرف
+
+264
+00:20:42,570 --> 00:20:46,410
+العد بس الان مش هتقدر تعمل representation او تكتب
+
+265
+00:20:46,410 --> 00:20:50,450
+العدد هذا الشكل لو بيك تكتب اربعة مليون كام واحدة
+
+266
+00:20:50,450 --> 00:20:56,710
+زي ايه بيمكنك تكتبها مش هتخلص أصبت؟الان حاجتنا
+
+267
+00:20:56,710 --> 00:21:00,230
+للصفر و بما ان ال natural number هي الأساس و مافيش
+
+268
+00:21:00,230 --> 00:21:03,950
+فيها number فصاروا لأ الصفر لازم يكون موجود من ضمن
+
+269
+00:21:03,950 --> 00:21:07,810
+الأعداد و بدوا يتكلموا على الأعداد بعيدا عن
+
+270
+00:21:07,810 --> 00:21:12,230
+الأعداد الطبيعية صاروا اما لو بدهم الآن لما نتكلم
+
+271
+00:21:12,230 --> 00:21:20,830
+يا شباب مجموعة الأعداد الطبيعية بتبدأ 1 2 3 إلى ما
+
+272
+00:21:20,830 --> 00:21:21,430
+لا نهاية
+
+273
+00:21:24,490 --> 00:21:28,450
+طيب أنا بدلوي في الصفر لأن الصفر أنا معنى فيه بصير
+
+274
+00:21:28,450 --> 00:21:37,250
+نرمزلها إما N zero أو N star تمام سواء هذه أو هذه
+
+275
+00:21:37,250 --> 00:21:42,750
+دلالة على وجود الصفر على ال natural number لاحظ
+
+276
+00:21:42,750 --> 00:21:48,170
+مافيش عندي سالب مافيش عندي سالب كل الفكرة كمان مرة
+
+277
+00:21:48,170 --> 00:21:55,060
+كانت أنا عملت addone more عشان ازيد ال counter تبع
+
+278
+00:21:55,060 --> 00:22:00,100
+العدل اللي عندي والان صار لازم يكون في عندي الصفر
+
+279
+00:22:00,100 --> 00:22:03,520
+فكلنا بنعرف الصفر طيب بما أن الصفر الشباب أصبح
+
+280
+00:22:03,520 --> 00:22:08,720
+موجود في عملية الجمع لما أنا بجمع الصفر إيش
+
+281
+00:22:08,720 --> 00:22:18,560
+النتيجة؟ ماتتغيرش X زاد صفر X تمام؟ طيب الآن من
+
+282
+00:22:18,560 --> 00:22:23,470
+نفس منطق عملية الجمعصار انا لما بدي اخد من التلاتة
+
+283
+00:22:23,470 --> 00:22:27,650
+هادي واحد المنزل اللي جابي الهادي اللي اقل منها
+
+284
+00:22:27,650 --> 00:22:33,930
+بواحد يعني قاعد بنزل ايش ال minus أساسه كمان نقص
+
+285
+00:22:33,930 --> 00:22:39,090
+واحد وبالتالي لما وصلت انا X نقص الصفر بما ان
+
+286
+00:22:39,090 --> 00:22:44,210
+الصفر ماأثرتش عليه عند الجامع فكانت نفس الشغلة لكن
+
+287
+00:22:45,370 --> 00:22:49,570
+بعد هيك لما قصرت انا بدي اقول minus صار في عندي
+
+288
+00:22:49,570 --> 00:22:53,950
+سالب و هنتكلم عن السالب كمان اللحظات الصفر لما انا
+
+289
+00:22:53,950 --> 00:22:56,570
+بدي اعملها multiplication ال multiplication هي
+
+290
+00:22:56,570 --> 00:23:01,730
+عبارة عن تكرار مصبوط تكرار ال element اتنين ضرب
+
+291
+00:23:01,730 --> 00:23:06,270
+تلاتة يعني عندي اتنين مكررة تلت مرات اللي هم
+
+292
+00:23:06,270 --> 00:23:13,290
+مجموحهم ستة الصفر مكرر .. صفر ضرب تلاتةالصفر مكرر
+
+293
+00:23:13,290 --> 00:23:17,810
+تلت مرات والصفر كل ما بضيفه لشغله قيمتها لا تتغير
+
+294
+00:23:17,810 --> 00:23:22,930
+فالصفر ضفته لصفر صفر وكمان مرة صفر فان المحصلة صفر
+
+295
+00:23:22,930 --> 00:23:27,890
+وبالتالي ال multiplication صفر قسمة الصفر على أي
+
+296
+00:23:27,890 --> 00:23:34,590
+عدد صفر لما ماكانش إيش هيعطيك والقسمة على صفر غير
+
+297
+00:23:34,590 --> 00:23:38,730
+معرفة وهذه كثير من الأحيان اللي بيجع فيها احنا
+
+298
+00:23:39,680 --> 00:23:44,260
+بتكون المعادلة مكتوبة قدامك، كمان؟ لأ، على سبيل
+
+299
+00:23:44,260 --> 00:23:49,760
+المثال، بقولّك Find Y
+
+300
+00:23:49,760 --> 00:24:01,820
+equal 1 على X، F الـ X equal 0 مباشرة
+
+301
+00:24:01,820 --> 00:24:09,440
+Undefined غير معرفةليش؟ I'm defined لأن القسم على
+
+302
+00:24:09,440 --> 00:24:14,500
+صفر ايه المعرفة؟ لأن أساسا الكمية مش موجودة هي
+
+303
+00:24:14,500 --> 00:24:19,260
+الفكرة الكمية مش موجودة بدك تجسم لأربعة غلط بدك
+
+304
+00:24:19,260 --> 00:24:22,720
+تجسم لمليون غلط بدك تجسم على واحد غلط لأن الكمية
+
+305
+00:24:22,720 --> 00:24:29,220
+اللي بدك تجسم عليها مش موجودة عندك تمام
+
+306
+00:24:29,220 --> 00:24:32,320
+يعني
+
+307
+00:24:32,320 --> 00:24:35,740
+صار في عندي صفر صار في عندي عملية جمع القرح مصبوط
+
+308
+00:24:38,920 --> 00:24:49,560
+الـ negative numbers احنا اتفقنا الآن من هيك صفر N
+
+309
+00:24:49,560 --> 00:24:55,960
+star و أعداد طبيعيين مظبوط؟ و قلنا في كل position
+
+310
+00:24:55,960 --> 00:25:01,680
+أبلش من الصفر ما هيحطيتلك N star عشان قولنا ال
+
+311
+00:25:01,680 --> 00:25:04,920
+natural number تبدأ من واحد إذا أنا نعني في الصفر
+
+312
+00:25:04,920 --> 00:25:11,430
+ببدأ من أين؟ N star أو N صفرأو N0 بس N star أسهل
+
+313
+00:25:11,430 --> 00:25:15,870
+لك تمام فانت حرص سواء هذه او هذه انا غالبا
+
+314
+00:25:15,870 --> 00:25:22,390
+هتلاقيني بعتند N star الان اذا احنا بلشنا مع من
+
+315
+00:25:22,390 --> 00:25:27,610
+صفر إلى مال نهاية و تذكر دائما الفرق ما بين كل
+
+316
+00:25:27,610 --> 00:25:36,730
+عنصرين واحد تمام
+
+317
+00:25:38,420 --> 00:25:42,840
+بس الأعداد هيك و احنا قلنا الأعداد فكرتها و كل شغل
+
+318
+00:25:42,840 --> 00:25:45,300
+هبصير حسب إيش حاجة للإنسان أكتر من العدن الزمان
+
+319
+00:25:45,300 --> 00:25:49,200
+ماكانش بالزمن و كنا بنقدر نجيبه كل بساطة بعد هيك
+
+320
+00:25:49,200 --> 00:25:52,360
+قالت طيب يا عم إذا كانت الأعداد بتصير مالة نهاية
+
+321
+00:25:52,360 --> 00:25:56,840
+الصفر لو أنا بدي أخد منه واحد واحد قلت بنفعش يا
+
+322
+00:25:56,840 --> 00:26:01,670
+أستاذبنفعش لإن عمالة بنفعش نجسم عليه الجسم هو مش
+
+323
+00:26:01,670 --> 00:26:06,890
+موجود بس لما أنا بدي أخد بمبادئ البشرية و ال
+
+324
+00:26:06,890 --> 00:26:10,070
+social و الحياة الشماعية أنه أنا بدي أستلف أو
+
+325
+00:26:10,070 --> 00:26:13,510
+أتداين و هم فعليا أول ما علمون الحساب في الابتدائي
+
+326
+00:26:13,510 --> 00:26:17,550
+كانوا يقولوا لك بدنا نتداين من القيمة هذه جديش أو
+
+327
+00:26:17,550 --> 00:26:22,380
+بدنا ناخد منها جديش الآن الصفر هذا ما عضوشتمام؟
+
+328
+00:26:22,380 --> 00:26:26,660
+بده يصير مديون إلنا لما بدنا ناخد منه الواحد بده
+
+329
+00:26:26,660 --> 00:26:31,520
+يصير مديون إلنا وبالتالي صارت عندي السالب واحد بس
+
+330
+00:26:31,520 --> 00:26:37,980
+لاحظوا يا شباب أنا بطلت أتكلم على position بطلت
+
+331
+00:26:37,980 --> 00:26:42,480
+أتكلم على position لإن ماحدش بيجي يقوللي مرتبتك
+
+332
+00:26:42,480 --> 00:26:48,340
+سالب تلاتة في حدا؟ إذا بتقدر تديني مثال حقيقي على
+
+333
+00:26:48,340 --> 00:26:54,410
+.. زي هي كانت إلك علامتين في المساقرفيش ليش لأن ال
+
+334
+00:26:54,410 --> 00:26:58,870
+positions أو المنازل أو الترتيب بيبدأ من واحد
+
+335
+00:26:58,870 --> 00:27:04,750
+ماحدش إلا الله تبارك وتعالى الأول بلا ابتداء مصبوط
+
+336
+00:27:04,750 --> 00:27:11,720
+لاحظ سبحانك الكريم الأول جانب كل شيءوالآخر بلا
+
+337
+00:27:11,720 --> 00:27:14,400
+انتهاء يعني جد ما تتخيل من الآخر مافيش شيء بعده
+
+338
+00:27:14,400 --> 00:27:17,740
+سبحان الكريم لكن هيعرف حياتنا البشر اللي احنا فيه
+
+339
+00:27:17,740 --> 00:27:22,140
+في او في تاني وفي قبل صفر فيه سالب واحد وما شابه
+
+340
+00:27:22,140 --> 00:27:27,000
+الآن كمان مرة يعني أصبحت فكرة الأعداد السالبة برضه
+
+341
+00:27:27,000 --> 00:27:29,940
+وجدت من المين من فكرة أنظمة العد اللي احنا بنتكلم
+
+342
+00:27:29,940 --> 00:27:33,600
+عليها وصارت اندي فكرة الأعداد السالبة وبين كل عدد
+
+343
+00:27:33,600 --> 00:27:35,960
+وتاني فرق واحد
+
+344
+00:27:37,600 --> 00:27:51,040
+الفرق بواحد طيب
+
+345
+00:27:51,040 --> 00:27:57,900
+بما أنه صار في عندي أعداد سالبة وأعداد موجبة شو
+
+346
+00:27:57,900 --> 00:28:01,740
+عمليات الجمع أو العمليات الحسابية اللي بتكون عندي
+
+347
+00:28:01,740 --> 00:28:04,980
+هنا لما
+
+348
+00:28:04,980 --> 00:28:11,770
+أنا بد أرمز للعددموجة بـA موجة
+
+349
+00:28:11,770 --> 00:28:24,830
+بـA موجة بـA موجة بـA موجة بـA موجة
+
+350
+00:28:24,830 --> 00:28:31,610
+بـA
+
+351
+00:28:31,610 --> 00:28:34,510
+موجة بـA موجة بـA موجة بـA موجة بـA موجة بـA موجة
+
+352
+00:28:34,510 --> 00:28:37,220
+موجة بـA موجة بـA موجة بـA موجة بـA موجة بـAموجبة
+
+353
+00:28:37,220 --> 00:28:45,600
+A بدي أجمعها أو أضيفها إلى الـ B والسالب
+
+354
+00:28:45,600 --> 00:29:01,340
+B A زائد B هيها مصبوط A زائد ناقص B مش
+
+355
+00:29:01,340 --> 00:29:03,800
+هذه الصورة هي هي اللي قاعدنا نتكلم عليها لو أنا
+
+356
+00:29:03,800 --> 00:29:09,880
+بدي أسقطها تماما مثل الحالة هذههي كمان مرة هي a
+
+357
+00:29:09,880 --> 00:29:18,020
+زائد b هيها a زائد ناقص b الأصل اتكتب بالصورة هذه
+
+358
+00:29:18,020 --> 00:29:24,100
+لكن لما بيكون في عندي ناقص او في عندي سالب خلاص
+
+359
+00:29:24,100 --> 00:29:30,240
+السائل الموجب بتقوله ايش معنى بتصير a ناقص ال b او
+
+360
+00:29:30,240 --> 00:29:38,910
+a minus b تمام؟ طيب لما بتكون في عندي سالب aسالب A
+
+361
+00:29:38,910 --> 00:29:54,930
+زائد B سالب A زائد B اللي هي B ناقص A كمان
+
+362
+00:29:54,930 --> 00:30:04,810
+سالب A زائد سالب B سالب A زائد
+
+363
+00:30:07,090 --> 00:30:12,830
+سالب بى حسب الصيغة اللى فوق الموجب هذه بتروح تصبح
+
+364
+00:30:12,830 --> 00:30:18,950
+عندى سالب ا سالب بى و احنا عمالا قولنا هنا عند
+
+365
+00:30:18,950 --> 00:30:23,950
+السالب ا هي عبارة عن ناقص واحد مضروب فى القيمة
+
+366
+00:30:23,950 --> 00:30:30,410
+فاخد السالب واحد عامل مشترك بتصبح سالبA زائد B
+
+367
+00:30:30,410 --> 00:30:33,410
+واحد يقولي وان الواحد يقولي انت خدته السالب واحد
+
+368
+00:30:33,410 --> 00:30:36,150
+خدته العالم المشترك لو الواحد مابكتبهوش بس بكتب
+
+369
+00:30:36,150 --> 00:30:41,710
+إشارة السالب طيب
+
+370
+00:30:41,710 --> 00:30:50,870
+العملية عكسها تماما او متلة تماما في الطرح A
+
+371
+00:30:50,870 --> 00:30:58,150
+ناقص B A ناقص B A ناقص ناقص B
+
+372
+00:31:03,230 --> 00:31:09,210
+أي ناقص اي
+
+373
+00:31:09,210 --> 00:31:13,870
+ناقص بي ناقص بي ناقص بي ناقص بي ناقص بي ناقص بي
+
+374
+00:31:13,870 --> 00:31:16,630
+ناقص بي ناقص بي ناقص بي ناقص بي ناقص بي ناقص بي
+
+375
+00:31:16,630 --> 00:31:22,050
+ناقص بي ناقص بي ناقص بي ناقص بي ناقص بي ناقص بي
+
+376
+00:31:30,320 --> 00:31:41,500
+ناقص a ناقص b عمال
+
+377
+00:31:41,500 --> 00:31:46,920
+انا اقول ان هذه موجبة وهذه تساوي ناقص a زائد ال b
+
+378
+00:31:46,920 --> 00:31:51,520
+اللي زي اللي شوفناها قبل شوية اللي هي b ناقص ال a
+
+379
+00:31:51,520 --> 00:31:57,650
+كلام صعب يا شباب شباب زلجتني بأسرع او مشابهحاول
+
+380
+00:31:57,650 --> 00:32:01,070
+ليش انت اسألني واجف قولي هدى شوية بتمشي الأمور ان
+
+381
+00:32:01,070 --> 00:32:05,310
+شاء الله على خير ما يرام طيب كذلك زى ما شفنا عملية
+
+382
+00:32:05,310 --> 00:32:11,470
+الجمع والطرح على الأعداد بدي اشوف الضرب والقسمة
+
+383
+00:32:11,470 --> 00:32:20,070
+بدي اشوف الضرب والقسمة الآن a ضرب b a b a ضرب نقص
+
+384
+00:32:20,070 --> 00:32:29,250
+b نقص a يعني هي المفروض هيك تكون a فنقص bسالب في
+
+385
+00:32:29,250 --> 00:32:41,210
+موجة سالب ستصبح سالب AB تمام غشك
+
+386
+00:32:41,210 --> 00:32:48,570
+الجوس يعني انت بيه AB مش مشكلة حطينا السالب تمام
+
+387
+00:32:48,570 --> 00:32:53,890
+اللي بعدها نقص
+
+388
+00:32:53,890 --> 00:32:54,270
+A
+
+389
+00:32:57,170 --> 00:33:04,890
+فى B وبيضربها بعد هيك فى ناقص B ناقص A ضرب B سالب
+
+390
+00:33:04,890 --> 00:33:10,070
+AB على نفس النظام السابق مصبوط طيب ناقص A ضرب ناقص
+
+391
+00:33:10,070 --> 00:33:19,410
+B AB ناقص A ثم ناقص B AB
+
+392
+00:33:19,410 --> 00:33:25,130
+فسالب فسالب هتصير النتيجة عندي موجبة القسمة
+
+393
+00:33:31,800 --> 00:33:43,880
+A تقسيم الـ B A على B A تقسيم سالب B سالب A على
+
+394
+00:33:43,880 --> 00:33:52,860
+سالب B هي هي الان بما انه هذا الجثت بسطه مقامه هذا
+
+395
+00:33:52,860 --> 00:33:58,410
+ال value بسطه مقامه بقدر انا اقوله سالبA على B ومش
+
+396
+00:33:58,410 --> 00:34:03,910
+هتفرج معايا الإشارة لمن؟ للبصد ولا للمقال كذلك لما
+
+397
+00:34:03,910 --> 00:34:10,170
+باجي بقول سالب A تقسيم سالب B باجي بجهذه قيمتها
+
+398
+00:34:10,170 --> 00:34:17,010
+سالب A على سالب B السالب مع السالب بروح تمام لأن
+
+399
+00:34:17,010 --> 00:34:21,610
+هذه بتمثل سالب واحد، نصيب؟ وبالتالي بتصير A على B
+
+400
+00:34:32,870 --> 00:34:37,870
+بما انه احنا بنتكلم على اربع عمليات جاعدين جمع و
+
+401
+00:34:37,870 --> 00:34:44,670
+طرح و ضرب و قسمة تمام صار في عندى بعض الخصائص او
+
+402
+00:34:44,670 --> 00:34:47,890
+بعض القوانين اللى بتحكم عملية الضرب و القسمة اللى
+
+403
+00:34:47,890 --> 00:34:51,490
+موجودة عندها بدنا نتركز على شغلة شباب انه فى
+
+404
+00:34:51,490 --> 00:34:54,790
+البداية ان العمليات الحسابية الأربع ها دى بنسميها
+
+405
+00:34:54,790 --> 00:34:59,680
+احنا احنا بنسميها binary operationsbinary
+
+406
+00:34:59,680 --> 00:35:08,540
+operations عمليات ثنائية ليش عمليات ثنائية بس
+
+407
+00:35:08,540 --> 00:35:13,380
+فيها عاملين زي ما شوفنا قبل شوية لما كتبنا واحد
+
+408
+00:35:13,380 --> 00:35:18,040
+زائد واحد two operand و لما كتبنا واحد زائد اتنين
+
+409
+00:35:18,040 --> 00:35:22,840
+قلنا طب ما هي هذه أساسا واحد زائد واحد و لو أنا
+
+410
+00:35:22,840 --> 00:35:28,000
+اجيب كتبتلك واحد زائد خمسة زائد سبعة اجمعليهم
+
+411
+00:35:30,900 --> 00:35:35,800
+لاجمعلياهم هتقولي 13 بس لو أنا قلتلك بشكل بسيط خلي
+
+412
+00:35:35,800 --> 00:35:39,540
+مخك يشتغل بشكل بطيء عشان تشوف حالك كيف جمعتهم
+
+413
+00:35:39,540 --> 00:35:45,660
+هتلاقي حالك جمعت الواحد زائد الخمسة ستة وروح
+
+414
+00:35:45,660 --> 00:35:48,620
+الجماعة للسبعة وبالتالي بتكلم على binary
+
+415
+00:35:48,620 --> 00:35:53,460
+operations و two operands احنا الآن الله تبارك
+
+416
+00:35:53,460 --> 00:35:56,260
+وتعالى أنعم علينا بناء على كتيرة منها لو قلتلك
+
+417
+00:35:56,260 --> 00:36:02,230
+اجمعلي مجموعة الأرقام التالية خمسةالان مباشرة حطيت
+
+418
+00:36:02,230 --> 00:36:04,670
+في دماغك خمسة و بدك اضف عليها مباشرة العدد اللي
+
+419
+00:36:04,670 --> 00:36:09,530
+انا بدك اكتبه بمجرد اكتبك اتنين هتقول سبعة الان
+
+420
+00:36:09,530 --> 00:36:13,010
+راحت عندك one operand و بتستنى للرقم التالي لل
+
+421
+00:36:13,010 --> 00:36:18,770
+second operand تمام؟ وبالتالي هذه العمليات كلها
+
+422
+00:36:18,770 --> 00:36:23,550
+عمليات ثنائية تمام؟
+
+423
+00:36:23,550 --> 00:36:27,510
+العمليات هذه فيها مجموعة من القوانين اللي بتحكمها
+
+424
+00:36:27,510 --> 00:36:36,850
+عملية الإبدالعملية تجميع وعملية التوزيع ابدال
+
+425
+00:36:36,850 --> 00:36:45,510
+تجميع توزيع commutative ابدال او تبديل associative
+
+426
+00:36:45,510 --> 00:36:58,370
+تجميع distributive توزيع في
+
+427
+00:36:58,370 --> 00:37:13,120
+الـ commutativeمفهوم التبديل العملية ثنائية اللى
+
+428
+00:37:13,120 --> 00:37:17,140
+فى الدائرة هنا شباب ال operation اللى فى الدائرة
+
+429
+00:37:17,140 --> 00:37:24,020
+عندى هان ال operation بلّا جمع وطرح وضرب وقسمة
+
+430
+00:37:24,020 --> 00:37:27,710
+وهنا فى عندى two operandsالعددين اللي أنا بدي
+
+431
+00:37:27,710 --> 00:37:31,750
+أجمعهم عشان يتسميناها عملية ثنائية الآن بدي أسأل
+
+432
+00:37:31,750 --> 00:37:38,570
+نفسي عملية الجنع عملية إبدالية ال competitive بفهم
+
+433
+00:37:38,570 --> 00:37:42,110
+الإبدالية إن لو أنا أخدت ال two values اللي ال
+
+434
+00:37:42,110 --> 00:37:46,470
+operands هدول وغيرت ال position تبعوتهم تتغير
+
+435
+00:37:46,470 --> 00:37:51,910
+النتيجة إذا تغيرت معناته العملية غير إبدالية وإن
+
+436
+00:37:51,910 --> 00:38:03,040
+بقيت على حالها فهي عملية إبدالية الآنA زائد B هل
+
+437
+00:38:03,040 --> 00:38:09,140
+تساوي B زائد A صحيح فعملية الجمع بالنسبة إلا عملية
+
+438
+00:38:09,140 --> 00:38:18,300
+إبدالية طيب عملية الطرح A نقص ال B تساوي B نقص ال
+
+439
+00:38:18,300 --> 00:38:25,880
+A أكيد أكيد بتساوي طيب الآن لو قلتي لك اتنين نقص
+
+440
+00:38:25,880 --> 00:38:33,820
+تلاتةجداش بتساوي ناقص واحد طيب ثلاثة ناقص اتنين
+
+441
+00:38:33,820 --> 00:38:39,520
+واحد الواحد لا تساوي السالب واحد فعملية الطرح غير
+
+442
+00:38:39,520 --> 00:38:44,700
+ابدالية عملية
+
+443
+00:38:44,700 --> 00:38:53,460
+الضرب ابدالية A ضرب B سالي B ضرب ال A عملية القسمة
+
+444
+00:38:54,710 --> 00:39:00,530
+غير إبدالية لأن أجسم 2 على 4 لا تساوي 4 على 2
+
+445
+00:39:00,530 --> 00:39:06,110
+بالمناسبة يا شباب عند النفي عند النفي بيلزمك تجيب
+
+446
+00:39:06,110 --> 00:39:11,130
+مثال مثال واحد المشكلة دائما عند الإثبات احنا مش
+
+447
+00:39:11,130 --> 00:39:13,610
+حانوية بتحاجة في الوقت الحالي العملية عملية
+
+448
+00:39:13,610 --> 00:39:17,630
+إبدالية هيها بالنسبة للجامع والضرب a زائد b تساوي
+
+449
+00:39:17,630 --> 00:39:18,370
+b زائد a
+
+450
+00:39:21,270 --> 00:39:24,390
+والشاطر في الرياضيات ويقول العملية غير ابدالية
+
+451
+00:39:24,390 --> 00:39:28,390
+يجيبلي مثال واحد واحنا بدنا نحطه في موسيقى العالم
+
+452
+00:39:28,390 --> 00:39:32,970
+اتاعت الرياضيات هيك القانون عند النفي جيب مثال
+
+453
+00:39:32,970 --> 00:39:37,370
+واحد ينفي الكلام هذا بتصير نظرية هذي أيش مالهاش
+
+454
+00:39:37,370 --> 00:39:42,710
+معنى تمام عشان هيك اهل الرياضيات بعدين صاروا يحطوا
+
+455
+00:39:42,710 --> 00:39:48,010
+شروطإذا توفر عندي واحد اتنين تلاتة معناته بيكون في
+
+456
+00:39:48,010 --> 00:39:51,770
+عندي و بقدر أتكلم على كذا على سبيل المثال كنا
+
+457
+00:39:51,770 --> 00:39:59,370
+بنعرف نظريات في ثغرص صح؟ إيش كان لها شرط؟ إن
+
+458
+00:39:59,370 --> 00:40:03,310
+المثلف قائم الزاوية بنفع أسقطها على مثلف غير قائم
+
+459
+00:40:03,310 --> 00:40:09,650
+الزاوية؟ مستحيل، مستحيل عشان هيكد لو أنت قدرت تجيب
+
+460
+00:40:09,650 --> 00:40:17,670
+مثلف قائم الزاويةفي مربع الوتر أو الوتر مربع الوتر
+
+461
+00:40:17,670 --> 00:40:25,510
+لا يساوي مربع الدلعين تمام بتقدر تنفذ ايش نظرية
+
+462
+00:40:25,510 --> 00:40:30,170
+FIFA course بس
+
+463
+00:40:30,170 --> 00:40:34,410
+مافيش ولا حد جادر يجيب مثال تمام لأن المثلث هذا
+
+464
+00:40:34,410 --> 00:40:38,570
+فعليا قائم الزاوية و كل اثباتات او طبعا أثبت
+
+465
+00:40:38,570 --> 00:40:46,090
+الكلام هذابالبرهان الرياضي المنطقي تمام لحتى
+
+466
+00:40:46,090 --> 00:40:50,890
+الأمور تمام يا شباب احنا جولنا العمليات عمليات
+
+467
+00:40:50,890 --> 00:40:54,910
+ثنائية العمليات الحسابية اللي عندي جمع وطرح وضرب
+
+468
+00:40:54,910 --> 00:41:00,290
+وقسمة طلعت منهم تنتين إبداليات communicative جمع
+
+469
+00:41:00,290 --> 00:41:04,590
+وضرب communicative قسمة وطرح communicative تمام
+
+470
+00:41:04,590 --> 00:41:08,110
+associative
+
+471
+00:41:08,110 --> 00:41:13,230
+خاصية التجميعبدك تفهم صاحبي في الأول ان خاصية
+
+472
+00:41:13,230 --> 00:41:20,890
+التجميع مفهومها ان عندي نفس العملية نفس ال
+
+473
+00:41:20,890 --> 00:41:25,130
+operations جمع يعني جمع في كل المسألة طرح يعني طرح
+
+474
+00:41:25,130 --> 00:41:28,670
+في كل المسألة ضرب في كل المسألة و العملية هذه
+
+475
+00:41:28,670 --> 00:41:34,270
+بتحتوي على أكثر من operand بمعنى انا قد جيت قلت a
+
+476
+00:41:34,270 --> 00:41:39,010
+زائد b زائد c هي العملية اللي عندى
+
+477
+00:41:42,330 --> 00:41:47,970
+بينفعش اقول عملية بالشكل هذا ايه زائد B نقص C وبدي
+
+478
+00:41:47,970 --> 00:41:53,430
+اروح اشوف العملية هذه عملية تجميعية ولا لأ لازم
+
+479
+00:41:53,430 --> 00:41:56,810
+تكون نفس ال operation اللى موجودة عندى نفس العملية
+
+480
+00:41:56,810 --> 00:42:03,530
+الحسابية طبعا تعالى نشوف مع الجمعخاصية التجميع
+
+481
+00:42:03,530 --> 00:42:07,410
+مفهومها ان انا اخد اي اتنين لان العملية اتنائية
+
+482
+00:42:07,410 --> 00:42:11,370
+بالاساس مصبوط؟ اذا انا اقدرت اخد اي اتنين و اجمعهم
+
+483
+00:42:11,370 --> 00:42:14,350
+مع بعض و احصل على نفس النتيجة بيكون هذا الكلام صح
+
+484
+00:42:14,350 --> 00:42:21,170
+ايش انا اجمع اي اتنين مع بعض؟ اجمع A زائد B في جوس
+
+485
+00:42:21,170 --> 00:42:31,960
+و بعدين اجمع ال C تمام؟ او اجمع ال B مع ال Cوبعدين
+
+486
+00:42:31,960 --> 00:42:36,320
+في داخل الجوص اضيف لهم للـ A إذا كانت الخاصية
+
+487
+00:42:36,320 --> 00:42:39,360
+بالشكل هذا في خاصيته التجميع إن أقدر أجز ..
+
+488
+00:42:39,360 --> 00:42:44,760
+بنجوسين أجزء المسألة تبعتي لقواس فبسميها تجمعي نعم
+
+489
+00:42:44,760 --> 00:42:49,660
+بس
+
+490
+00:42:49,660 --> 00:42:56,180
+لاحظ انت إيش سويت A زائد C زائد B انت روح تطبق
+
+491
+00:42:56,180 --> 00:43:01,220
+تخاصيتي الإبدال هناتمام؟ فمش هتفرق كتير معايا احنا
+
+492
+00:43:01,220 --> 00:43:04,960
+متفقين عملية الجمع عملية ابدالية عشان هيك انا
+
+493
+00:43:04,960 --> 00:43:08,320
+قلتلك من البداية تكون نفس ال operation نفس العملية
+
+494
+00:43:08,320 --> 00:43:14,020
+الحسابية اللي عندك تمام؟ فهذه نفسها بس انت دخلت
+
+495
+00:43:14,020 --> 00:43:18,360
+خاصية الابدال انا الآن بتكلم على التجميع زي ما هي
+
+496
+00:43:18,360 --> 00:43:22,200
+المعادلة قدان هيك هل بنفع اجمع ولا لأ تعالوا على
+
+497
+00:43:22,200 --> 00:43:26,580
+الهامش هان هيك شوية نكتب نفس النمو هذا لو كنت فيه
+
+498
+00:43:26,580 --> 00:43:36,170
+عندي ايه؟ ضربB ضرب الـ C بينفع أجمع؟
+
+499
+00:43:36,170 --> 00:43:47,930
+بينفع A ضرب B ضرب الـ C كذلك A ضرب B ضرب C ليش
+
+500
+00:43:47,930 --> 00:43:53,330
+متملأش نفس النتيجة يا صاحبي؟ اديني مثال واحد ضرب
+
+501
+00:43:53,330 --> 00:43:56,250
+اتنين ضرب تلاتة واحد في اتنين اتنين في اتنين في
+
+502
+00:43:56,250 --> 00:44:01,120
+تلاتة ستةأتنين في التلاتة ستة ضربهم في واحد ستة
+
+503
+00:44:01,120 --> 00:44:06,000
+مافيش شي نفس النتيجة طيب تعالى نشوف موضوع الطرح
+
+504
+00:44:06,000 --> 00:44:12,920
+فالان عند الجمع والضرب عمليات تجميعية تعالى نشوف
+
+505
+00:44:12,920 --> 00:44:17,300
+الطرح الطرح كيف بدأ يكون شكلها او خلّا نهدر الدرب
+
+506
+00:44:17,300 --> 00:44:25,160
+نعمل الطرح هنا A ناقص B ناقص C
+
+507
+00:44:30,220 --> 00:44:43,920
+شو رأيكوا؟ غير تجميعية ديني مثال يا باشا ايوا
+
+508
+00:44:43,920 --> 00:44:53,840
+خمسة اربعة تلاتة خمسة ناقص اربعة ناقص تلاتة هيك
+
+509
+00:44:53,840 --> 00:45:01,900
+اسمي اللي بقولخمسة ناقص أربعة واحد ناقص ثلاثة سالب
+
+510
+00:45:01,900 --> 00:45:08,280
+اتنين الحالة الأولى الحالة التانية خمسة أربعة
+
+511
+00:45:08,280 --> 00:45:14,280
+تلاتة أربع ناقص تلاتة واحد خمسة ناقص
+
+512
+00:45:18,050 --> 00:45:22,690
+نقص اتنين لا تساوي الأربعة فهي عملية تتطرح عملية
+
+513
+00:45:22,690 --> 00:45:29,950
+غير تجميعية كذلك لما أجهوا ال A تقسيم ال B تقسيم
+
+514
+00:45:29,950 --> 00:45:35,670
+ال C هل هي عملية تجميعية؟ بدك تروح تشوف بنفسك وبطل
+
+515
+00:45:35,670 --> 00:45:44,670
+الآن بدك تروح تجمع A تقسيم ال B تقسيم ال C وتفحص A
+
+516
+00:45:44,670 --> 00:45:52,510
+تقسيم B تقسيم ال Cشو رايكو؟ غير تجميعية .. غير
+
+517
+00:45:52,510 --> 00:45:58,960
+تجميعية و الأمثلة كثيرة طيب خاصية التوزيعالان لاحظ
+
+518
+00:45:58,960 --> 00:46:01,500
+ان انا اتكلمت على association .. اه عفوا
+
+519
+00:46:01,500 --> 00:46:06,880
+associative تجميع اكترت على مبدأ واحد ان عملية
+
+520
+00:46:06,880 --> 00:46:11,940
+العملية الموجودة عملية واحدة اما جمع او ضرب او
+
+521
+00:46:11,940 --> 00:46:15,860
+طريح او قسمة مظبوط و اكتبت عينا بس ان الجمع و
+
+522
+00:46:15,860 --> 00:46:20,920
+الضرب هي العمليات التجمعية الان في خاصية توزيع
+
+523
+00:46:20,920 --> 00:46:26,130
+distributive بدي يكون في عندك عمليتينمختلفتين
+
+524
+00:46:26,130 --> 00:46:31,350
+بتكون في عندك عمليتين مختلفتين قبل شوية قلتلك لازم
+
+525
+00:46:31,350 --> 00:46:36,310
+تكون عندك نفس العملية مفهوم
+
+526
+00:46:36,310 --> 00:46:39,810
+العمليتين مختلفتين يعني واحدة تكون جامعة واحدة
+
+527
+00:46:39,810 --> 00:46:42,650
+ضاربة واحدة تكون طارية واحدة تانية جسمها او ما
+
+528
+00:46:42,650 --> 00:46:48,930
+شابه الآن بنشتغل
+
+529
+00:46:48,930 --> 00:46:52,190
+ضمن الكلام هذا هي في عندي كلام
+
+530
+00:46:57,110 --> 00:47:06,630
+multiplication over addition الدرب
+
+531
+00:47:06,630 --> 00:47:12,050
+مقابل الجمع هل هي تجمعية او توزيعية على الجمع ولا
+
+532
+00:47:12,050 --> 00:47:21,190
+لأ اكسها الجمع على الدرب ال multiplication بس لأ
+
+533
+00:47:21,190 --> 00:47:28,760
+ال multiplication على ال subtraction طرحأكسها الـ
+
+534
+00:47:28,760 --> 00:47:34,140
+Subtraction على Multiplication والان بقولك بالمثال
+
+535
+00:47:34,140 --> 00:47:38,980
+ايش يعني هدول او بالرموز خلصنا لا ماخلصناش فى عندى
+
+536
+00:47:38,980 --> 00:47:49,800
+ال division القسمة over الجمع ال addition over ال
+
+537
+00:47:49,800 --> 00:47:54,660
+division القسمة بعدين ال subtraction عشان ترتاح
+
+538
+00:47:54,660 --> 00:47:58,320
+انت دائماالكلام اللي فوق هذا ال multiplication
+
+539
+00:47:58,320 --> 00:48:05,880
+over ال addition يعني في عند a مضروبة في b زائد c
+
+540
+00:48:05,880 --> 00:48:10,760
+اللي
+
+541
+00:48:10,760 --> 00:48:17,420
+هي الأولى هذه multiplication over additionهي
+
+542
+00:48:17,420 --> 00:48:22,280
+multiplication الدرب على الجمع هل عملية الدرب على
+
+543
+00:48:22,280 --> 00:48:28,100
+الجمع عملية توزيعية يعني بين جثين بقدر اوزع العنصر
+
+544
+00:48:28,100 --> 00:48:35,080
+اللي برهان على داخل الجث صح مية في المية طب لو
+
+545
+00:48:35,080 --> 00:48:41,080
+عكسناها ايش هنعكسها يعني اروح اقوله ايه هيا
+
+546
+00:48:41,080 --> 00:48:51,840
+addition over multiplication ايه الدربB زائد C اه
+
+547
+00:48:51,840 --> 00:49:00,340
+غير الإشارة كمان بينفع؟
+
+548
+00:49:00,340 --> 00:49:05,040
+أيوة ليه؟ طب ليش يا شباب في حد .. خليك ساكت انت في
+
+549
+00:49:05,040 --> 00:49:11,490
+حد بيعرف ليش مظبوطش الكلام؟أيوة بدنا نذكر الآن
+
+550
+00:49:11,490 --> 00:49:14,650
+مجموعة الأولويات اللي علمونا إياها زمان كانت
+
+551
+00:49:14,650 --> 00:49:21,630
+الأولوية الأولى لمين للأقواص رقم واحد اتنين الدرب
+
+552
+00:49:21,630 --> 00:49:30,770
+والقسمة تلاتة الجنة والطريح مية فالمية طول ما هاد
+
+553
+00:49:30,770 --> 00:49:35,510
+الأولويات التلاتة للعمليات الحسابيةعادرة في ذهنك
+
+554
+00:49:35,510 --> 00:49:40,090
+تتكلم عن موضوع الـ distributive أو موضوع التوزيع
+
+555
+00:49:40,090 --> 00:49:43,510
+وانت مرتاح تعالى نشوف احنا ال multiplication over
+
+556
+00:49:43,510 --> 00:49:53,890
+subtraction هيا A ضرب B نقص C A
+
+557
+00:49:53,890 --> 00:49:58,990
+B نقص A C تنفع وبالتالي Distributive بينما الحاجة
+
+558
+00:49:58,990 --> 00:50:05,650
+اللي هنا لأ وعكسهاA ناقص B ضرب الـC لا بينفعش
+
+559
+00:50:05,650 --> 00:50:10,650
+بينفعش لأنه بده ينفذ في الأقواص في الأول أصبعط؟
+
+560
+00:50:10,650 --> 00:50:16,710
+ولو أنت بالمناسب نفذت الأقواص اللي هان حسب الجوس
+
+561
+00:50:16,710 --> 00:50:20,010
+مافيش عندك مشكلة تنفذ الجمع الطريح أو الجمع وبعدين
+
+562
+00:50:20,010 --> 00:50:23,130
+تضرب بس احنا الان نتكلم على التوزيع واللي احنا
+
+563
+00:50:23,130 --> 00:50:28,930
+أساسا فكرة ان انا كيف اخد عامل مشتركمش هاد احنا
+
+564
+00:50:28,930 --> 00:50:34,270
+اتفقنا انها بتتساوي ab زائد ac خد ال a عام المشترك
+
+565
+00:50:34,270 --> 00:50:39,490
+بتصير a مضروبة في b زائد c، مظبوط؟ وهذه الفكرة
+
+566
+00:50:39,490 --> 00:50:44,370
+الموجودة ونفس الكلام لو انا اديت قلتلك ال a تقسيم
+
+567
+00:50:44,370 --> 00:50:51,090
+a زائد b هل
+
+568
+00:50:51,090 --> 00:50:55,650
+هي تساوي هدا
+
+569
+00:50:55,650 --> 00:51:00,700
+ها هي عليا علمت السفهان عشان تقولي اه ولا لأA تقسم
+
+570
+00:51:00,700 --> 00:51:08,880
+.. أنا B و أنا C A تقسيم الـ B زائد A تقسيم الـ C
+
+571
+00:51:08,880 --> 00:51:20,440
+هذه
+
+572
+00:51:20,440 --> 00:51:27,020
+هي هذه و هذه هي هذهفهل عملية الضرب او القسمة
+
+573
+00:51:27,020 --> 00:51:36,040
+تجميعية او عفوا توزيعية على الجمع؟ يا راجل هذه
+
+574
+00:51:36,040 --> 00:51:42,800
+هيها الجث هذا هيه صح؟ ايوة هان مختلفة الأمور
+
+575
+00:51:42,800 --> 00:51:49,840
+فبتدخل فيها توحيد مقامات وبالتالي هذه بيحط صير BC
+
+576
+00:51:49,840 --> 00:51:53,740
+AC زائد
+
+577
+00:51:56,710 --> 00:52:01,170
+AB C بتقوليش لو حطيت هي المسألة اللي عندنا مصبوط
+
+578
+00:52:01,170 --> 00:52:07,030
+وبالتالي هذه لاتساوي هذه صح؟ بدك تاخد أيه عن
+
+579
+00:52:07,030 --> 00:52:15,170
+المشترك؟ سيبقى عندي C زائد B على BC نفس القيمة
+
+580
+00:52:15,170 --> 00:52:18,630
+وبالتالي غير
+
+581
+00:52:20,160 --> 00:52:24,660
+توزيعية أو نعم غير توزيعية الأخيرة ال addition
+
+582
+00:52:24,660 --> 00:52:32,680
+over the division يعني هتكون عندي a زائد b تقسيم
+
+583
+00:52:32,680 --> 00:52:45,360
+ال c اللي هي a زائد b على c هل هذا تساوي الله
+
+584
+00:52:45,360 --> 00:52:48,280
+مصلي على السيد محمد a زائد b
+
+585
+00:52:52,950 --> 00:53:00,370
+تقسيم الـ A زائد C أه صح هذه مفهوم التوزيع توزع
+
+586
+00:53:00,370 --> 00:53:04,370
+العملية اللي برا على اللي جوا هيك مفهوم التوزيع هل
+
+587
+00:53:04,370 --> 00:53:13,370
+فيها نمو سوى هذه مفهومها A زائد B على A زائد C هل
+
+588
+00:53:13,370 --> 00:53:19,880
+هذا هو يسوي هذا مستحيل وبالتاليشوف طبعا واحد يقول
+
+589
+00:53:19,880 --> 00:53:25,720
+اهو احط الصفر انا احنا قلنا لك مثال واحد بس بنس في
+
+590
+00:53:25,720 --> 00:53:30,020
+العملية كلها تخيل الأعداد غير منتهية مظبوط لو كل
+
+591
+00:53:30,020 --> 00:53:36,120
+الأعداد بتظبط معدى حالة واحدة فقط بقول ان العملية
+
+592
+00:53:36,120 --> 00:53:44,540
+هذه عملية غير توزيعية بس تمام يا شباب 100% نتقل
+
+593
+00:53:44,540 --> 00:53:45,080
+لبعده
+
+594
+00:53:53,050 --> 00:53:56,230
+مش بعده لأ فيه كتير احنا لسه علاقة بنقول هي هادى
+
+595
+00:53:56,230 --> 00:54:13,630
+يعنى لحد
+
+596
+00:54:13,630 --> 00:54:17,750
+تلقاه الأمور تبقى بشباب يعني بكل بساطة ال مثال
+
+597
+00:54:17,750 --> 00:54:21,930
+اللي انا كتبته قبل شوية شبابكان هدفه ان اقولك مش
+
+598
+00:54:21,930 --> 00:54:27,150
+بالضرورة تكون انت حافظ الأمور بالتمام مفهوم
+
+599
+00:54:27,150 --> 00:54:31,430
+التوزيع ان انا في عندي عملية بدها تدخل على جوس
+
+600
+00:54:31,430 --> 00:54:37,030
+تمام عملية بدها تدخل على جوس لو انت مش جادر تتذكر
+
+601
+00:54:37,030 --> 00:54:41,350
+خرب سنة ما انا خرب اشتهك و بتفهن للنتيجة يوم علي
+
+602
+00:54:41,350 --> 00:54:44,350
+يوم الأمور هتحسن تكون افضل ان شاء الله تبارك
+
+603
+00:54:44,350 --> 00:54:51,200
+وتعالى سؤال ايش؟أيوة what about addition over
+
+604
+00:54:51,200 --> 00:54:57,500
+multiplication العكس أول واحدة عملناها اتوا انت
+
+605
+00:54:57,500 --> 00:55:02,080
+ماانتبهتش على السؤال في كل الصفحات السابقة ايش
+
+606
+00:55:02,080 --> 00:55:05,680
+بالنسبة لل subtraction ال division بس الآن انا
+
+607
+00:55:05,680 --> 00:55:09,040
+كتبت هنا واحدة بس من الحلات الست اللي كتبناها
+
+608
+00:55:09,040 --> 00:55:13,300
+ميجيش مع بعض على اللوحة طيب
+
+609
+00:55:18,180 --> 00:55:21,500
+بعد ما اتكلمنا على الأعداد الطبيعية و استخداماتها
+
+610
+00:55:21,500 --> 00:55:24,480
+و العد و وجهة العملية السالة و العملية الموجب و
+
+611
+00:55:24,480 --> 00:55:28,140
+شوفنا عملية الجامع و الطرح و الإبدال و التوزيع و
+
+612
+00:55:28,140 --> 00:55:36,420
+التجميع بدنا نتكلم على أنظمة العد اللي إلها أساسات
+
+613
+00:55:36,420 --> 00:55:41,510
+احنا الأساس تبع ال natural number تبعناطبعا ب ..
+
+614
+00:55:41,510 --> 00:55:45,350
+واحد اتنين تلاتة اربعة خمسة عادي كل مرة بزيد واحد
+
+615
+00:55:45,350 --> 00:55:50,570
+لكن لما احنا بيجي بنكتب الرقم هذا يا شباب ايش هو
+
+616
+00:55:50,570 --> 00:55:59,210
+هذا الرقم مرة تانية الف و متين واربعة و تلاتين
+
+617
+00:55:59,210 --> 00:56:05,830
+يعني هذه القيمة عبارة عن الف هذه متين
+
+618
+00:56:08,110 --> 00:56:15,850
+تلاتين هذه أربعة أحد عشرات مئات ألوف عشرة الألوف
+
+619
+00:56:15,850 --> 00:56:20,770
+مئات الألوف مليون بصبت هذا اللي كنا نتعلمه في
+
+620
+00:56:20,770 --> 00:56:25,310
+الابتدائي هذا هو عبارة عن أساس شغل بيسموها ال
+
+621
+00:56:25,310 --> 00:56:29,770
+positional positional number system positional
+
+622
+00:56:29,770 --> 00:56:33,650
+number system يعني القيمة هذه تتحدد او ال digit
+
+623
+00:56:33,650 --> 00:56:36,390
+هذا لو أنا سألتك أيش الرقم هنا شمال
+
+624
+00:56:43,210 --> 00:56:47,470
+على الرغم من أنه تلاتة احنا اتعلمناه بصبت بس لأنه
+
+625
+00:56:47,470 --> 00:56:52,350
+منزلته او position تبعه في الرقم رفعت ال value
+
+626
+00:56:52,350 --> 00:56:57,190
+تبعته من تلاتة لتلاتين و لو صار مكان هذا بده يصير
+
+627
+00:56:57,190 --> 00:57:02,430
+تلت تلات طيب هذا طبعا بالتحليق البسيط اللي احنا
+
+628
+00:57:02,430 --> 00:57:07,090
+بنعرفه في شغلة بنلاقاه بدنا نأكد عليها الشباب ان
+
+629
+00:57:07,090 --> 00:57:11,850
+هذاالرقم اللي في أقصى اليمين إلك خانة الأحاد
+
+630
+00:57:11,850 --> 00:57:18,330
+نسميها ال least significant digit least
+
+631
+00:57:18,330 --> 00:57:25,610
+significant digit أقل منزلة بصبوت؟ طيب و اللي في
+
+632
+00:57:25,610 --> 00:57:29,910
+أقصى اليسار ال
+
+633
+00:57:29,910 --> 00:57:36,510
+most significant digit ال most significant digit
+
+634
+00:57:36,510 --> 00:57:46,280
+لو أنا جيت قلتلكالسبعة تلاتة صفر خمسة واحد ال
+
+635
+00:57:46,280 --> 00:57:48,920
+least significant digit والسبعة هي ال most
+
+636
+00:57:48,920 --> 00:57:55,200
+significant digit تمام في النظام في ال positional
+
+637
+00:57:55,200 --> 00:57:59,560
+system في عندي أساس في عندي base بما أن احنا
+
+638
+00:57:59,560 --> 00:58:07,720
+بستخدم نظام العشري ال decimal يعني
+
+639
+00:58:07,720 --> 00:58:08,660
+ال base تبعتنا
+
+640
+00:58:12,690 --> 00:58:18,550
+عشرة طيب الان مع كل ال positional system مع أي
+
+641
+00:58:18,550 --> 00:58:21,730
+positional system لازم يكون في عندك base لازم يكون
+
+642
+00:58:21,730 --> 00:58:27,710
+في عندك أساس للنظام الأساس هذا بترتب عليه شغلتين
+
+643
+00:58:27,710 --> 00:58:33,670
+مهمات جدا عدد ال digits الموجودة في النظام و ال
+
+644
+00:58:33,670 --> 00:58:37,050
+values تبعت ال digit هذه حسب المنزل اللي هتكون
+
+645
+00:58:37,050 --> 00:58:41,150
+موجودة في العدد اللي بينتمي للنظاملما أنا باجي
+
+646
+00:58:41,150 --> 00:58:43,570
+بتكلم على ال decimal نظام العدل العشر اللي احنا
+
+647
+00:58:43,570 --> 00:58:50,070
+بنستخدمه من اسمه عشرة اول حاجة ان الأقام اللي
+
+648
+00:58:50,070 --> 00:58:56,410
+موجودة في النظام هذا هتكون اكبر من صفر و اقل من
+
+649
+00:58:56,410 --> 00:59:01,190
+عشرة اكبر او تساوي صفر عفوا و اقل من العشرة
+
+650
+00:59:04,760 --> 00:59:07,340
+عشان هيك بنقول الأرقام اللي عندنا في النظام العاشر
+
+651
+00:59:07,340 --> 00:59:13,200
+صفر او ال digit اتنين واحد اتنين تلاتة اربعة خمسة
+
+652
+00:59:13,200 --> 00:59:20,000
+ستة سبعة تمانية تسعة ممنوع خلاص و لو عديتهم هدول
+
+653
+00:59:20,000 --> 00:59:25,100
+هم عشر أرقام كيف؟
+
+654
+00:59:25,100 --> 00:59:30,680
+مجموحهم عشر أرقام عفوا عددهم عشر أرقام مجموحهم لا
+
+655
+00:59:30,680 --> 00:59:36,910
+يصيب عشر اكتر من عشر او كتير نعمأخر معلومة الأولى
+
+656
+00:59:36,910 --> 00:59:42,410
+نباتي بتكلم على الـ Base كل نظام positional system
+
+657
+00:59:42,410 --> 00:59:48,470
+تمام فيه أساس بنسميه الـ Base الـ Base هذا بحدد
+
+658
+00:59:48,470 --> 00:59:53,890
+شغلتين الشغل الأولى عدد ال digits عدد الأرقام
+
+659
+00:59:53,890 --> 01:00:00,530
+المستخدمة في النظاموهي دائما محصورة ما بين الصفر
+
+660
+01:00:00,530 --> 01:00:05,490
+أكبر أو تساوي صفر و أقل من قيمة ال base ال base
+
+661
+01:00:05,490 --> 01:00:09,590
+اللي عندي هن عشرة ال digits اللي موجودات هيكونوا
+
+662
+01:00:09,590 --> 01:00:13,850
+أكبر أو تساوي صفر و أقل من عشرة يعني الأرقام
+
+663
+01:00:13,850 --> 01:00:21,530
+المحصورة من صفر لتسعة تخيل لو أنا بدي أعمل نظام
+
+664
+01:00:21,530 --> 01:00:23,330
+على ال base سبعة
+
+665
+01:00:26,500 --> 01:00:31,980
+مباشر الأرقام اللي عندي صفر واحد اتنين تلاتة أربعة
+
+666
+01:00:31,980 --> 01:00:40,360
+خمسة ستة و بس هدف موضوع النظام الشغلة التانية اللي
+
+667
+01:00:40,360 --> 01:00:47,040
+بتترتب على ال base قيمة كل عنصر منزلته هتتغير تبقى
+
+668
+01:00:47,040 --> 01:00:52,080
+لمين لل base ال earth's least significant digit
+
+669
+01:00:52,080 --> 01:01:01,560
+اللي هي الأربعةبتبدأ عبارة عن ال base أُس صفر ال
+
+670
+01:01:01,560 --> 01:01:04,480
+least significant digit زي ما كتبناها قبل شويه هاد
+
+671
+01:01:04,480 --> 01:01:09,480
+هيك مش هاد ال least significant digit هاد قيمتها
+
+672
+01:01:09,480 --> 01:01:16,300
+مبروك عبارة عن أربعة ضرب ال base عشرة أس صفر عشرة
+
+673
+01:01:16,300 --> 01:01:21,140
+أس صفر كده شباب واحد يعني أربعة الخانة اللي بعديها
+
+674
+01:01:21,140 --> 01:01:29,990
+زائدثلاثة ضرب عشرة أقص واحد زائد اتنين ضرب عشرة
+
+675
+01:01:29,990 --> 01:01:36,090
+أقص اتنين زائد واحد ضرب عشرة أقص تلاتة مش هو هذا
+
+676
+01:01:36,090 --> 01:01:38,990
+واقع الأحد والعشرات والمئات والألوف اللي بيتكلم
+
+677
+01:01:38,990 --> 01:01:43,790
+عليه اللي بيحكمه ال base بما أنه حطينا المثال هذا
+
+678
+01:01:43,790 --> 01:01:49,750
+تعالى نشوف على السريع هيك لو كتبتلك انا اتنين واحد
+
+679
+01:01:49,750 --> 01:01:56,870
+أربعةهذا النظام معمول على بيز سبعة جدش ال value
+
+680
+01:01:56,870 --> 01:02:04,870
+تبعته او بين جثين الواحد هذه جدش قيمتها واحد
+
+681
+01:02:04,870 --> 01:02:08,450
+تعالى نحللها بنفس ال moment يا صاحبي هذه تساوي
+
+682
+01:02:08,450 --> 01:02:14,430
+اربعة اللي هي least significant digit ضرب سبعة اقص
+
+683
+01:02:14,430 --> 01:02:24,850
+صفر زائدواحد ضرب سبعة اص واحد زائد اتنين ضرب سبعة
+
+684
+01:02:24,850 --> 01:02:31,050
+اص اتنين هواتف ساوي اربعة اربعة في واحد زائد واحد
+
+685
+01:02:31,050 --> 01:02:35,570
+في سبعة زائد واحد واربعين تسعة واربعين ولا احد
+
+686
+01:02:35,570 --> 01:02:41,910
+تسعة واربعين تسعة واربعين في اتنين تمانية وتسعين
+
+687
+01:02:41,910 --> 01:02:47,980
+فبتكلم على مية وجداشمية و شوية انا عارف مية و شوية
+
+688
+01:02:47,980 --> 01:02:56,840
+مية و تسعة بال decimal هذا الرقم الواحد الان هذا
+
+689
+01:02:56,840 --> 01:03:02,520
+جديش قيمته في النظام السابع سبعة تخيل لو كانت بدل
+
+690
+01:03:02,520 --> 01:03:07,760
+هذه اتنين مهمش نغير هيك على السريع فبتصير ال digit
+
+691
+01:03:07,760 --> 01:03:10,120
+هذا قيمته اربع اتناش بال decimal اللي انا بعرفها
+
+692
+01:03:10,120 --> 01:03:15,240
+برجع بعيد تاني كمان مرة بناء على ال base لأي عدد
+
+693
+01:03:16,150 --> 01:03:22,070
+بتحدد شغلتين الأولى عدد ال digits الموجودين في
+
+694
+01:03:22,070 --> 01:03:26,570
+نظام العد هدى وهي محصورة من الصفر لل base ناقص
+
+695
+01:03:26,570 --> 01:03:34,630
+واحد اتنين منزلة كل digit تحدد بال base أُس ال
+
+696
+01:03:34,630 --> 01:03:36,690
+position اللي هو موجود فيه ناقص واحد
+
+697
+01:03:42,470 --> 01:03:45,770
+بس العدد دي يبدأ من واحد احنا عندنا، مظبوط؟ مش هاد
+
+698
+01:03:45,770 --> 01:03:50,350
+اول answer مش هاد ال first position واحد نقص واحد
+
+699
+01:03:50,350 --> 01:03:55,010
+صفر هاد المنزل التاني ال second، مظبوط؟ اتنين نقص
+
+700
+01:03:55,010 --> 01:03:59,930
+واحد واحد و هكذا بتكاشي الكلام الفلسفي خالص و
+
+701
+01:03:59,930 --> 01:04:03,730
+اللغة الخالص سيبك منه بتمسك ال least significant
+
+702
+01:04:03,730 --> 01:04:09,250
+digitبتحب ده القص تبعه من صفر و بتبدأ تطلع plus
+
+703
+01:04:09,250 --> 01:04:14,630
+one بكل الاتجاهات اللي موجودة عندك هن تمام؟ طيب
+
+704
+01:04:14,630 --> 01:04:20,630
+عشان مابدناش نختم بشغلة صعبة تمام؟ انا هقول ان
+
+705
+01:04:20,630 --> 01:04:24,090
+المحاضرة هدققناف الآن و المحاضرة الجاية هنبدأ من
+
+706
+01:04:24,090 --> 01:04:27,890
+عند نفس النقطة ان شاء الله تبارك وتعالى في حد عنده
+
+707
+01:04:27,890 --> 01:04:29,730
+اي سؤال يا شباب؟ فضل
+
+708
+01:04:35,950 --> 01:04:40,170
+لأ نفس القصة يا أستاذ هي هنا عشرة لما وزعتها هنا
+
+709
+01:04:40,170 --> 01:04:44,790
+عشرة أقص صفر عشرة أقص واحد عشرة أقص اتنين عشرة أقص
+
+710
+01:04:44,790 --> 01:04:49,430
+ثلاثة هان سبعة أقص صفر سبعة أقص واحد سبعة أقص
+
+711
+01:04:49,430 --> 01:04:51,950
+اتنين نفس النظام و بضرب و بجمع الأرقام اللي موجودة
+
+712
+01:04:51,950 --> 01:04:55,950
+نفس
+
+713
+01:04:55,950 --> 01:04:59,230
+النظام هي هي القانون أنا بدي أصلح للقانون هذا من
+
+714
+01:04:59,230 --> 01:05:02,710
+خلال الأرقام بس تكون ايش خدت القانون صح اه نعم
+
+715
+01:05:05,870 --> 01:05:08,350
+أنا قلت لك ان ال بيز يبقى في الساعة حصة عشرة او
+
+716
+01:05:08,350 --> 01:05:13,310
+تسعة حصة عشرة او تسعة حصة عشرة او تسعة حصة عشرة او
+
+717
+01:05:13,310 --> 01:05:14,150
+تسعة حصة عشرة او تسعة حصة عشرة او تسعة حصة عشرة او
+
+718
+01:05:14,150 --> 01:05:14,370
+تسعة حصة عشرة او تسعة حصة عشرة او تسعة حصة عشرة او
+
+719
+01:05:14,370 --> 01:05:16,910
+تسعة حصة عشرة او تسعة حصة عشرة او تسعة حصة عشرة او
+
+720
+01:05:16,910 --> 01:05:21,210
+تسعة حصة عشرة او تسعة حصة عشرة او تسعة حصة عشرة او
+
+721
+01:05:21,210 --> 01:05:31,410
+تسعة حصة عشرة او تسعة حصة عشرة او تسعة حصة عشرة
+
+722
+01:05:35,960 --> 01:05:40,240
+بحدد شغلتين الأولى عدد ال digits فى النظام واتنين
+
+723
+01:05:40,240 --> 01:05:46,200
+قيمة كل digit فى الرقم القيمة اللى أنا بفهمها ولا
+
+724
+01:05:46,200 --> 01:05:48,640
+لأ المحاضرة اللى جاية ان شاء الله كمان بنأكدلك
+
+725
+01:05:48,640 --> 01:05:51,680
+عليها بإذن الله فى أي سؤال تانى شباب الله يعطيكوا
+
+726
+01:05:51,680 --> 01:05:53,260
+العافية ونشوفكوا ان شاء الله يوم الأحد الجاي
+
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/hvti4JFQCF0_raw.json b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/hvti4JFQCF0_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..f59d71944e54bdda50cdec751ff1914c5fc9cd83
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/hvti4JFQCF0_raw.json
@@ -0,0 +1 @@
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" division", "probability": 0.955078125}, {"start": 2870.18, "end": 2871.0, "word": " القسمة", "probability": 0.9822591145833334}, {"start": 2871.0, "end": 2871.82, "word": " بعدين", "probability": 0.6536865234375}, {"start": 2871.82, "end": 2871.96, "word": " ال", "probability": 0.89404296875}, {"start": 2871.96, "end": 2872.7, "word": " subtraction", "probability": 0.70654296875}, {"start": 2872.7, "end": 2874.22, "word": " عشان", "probability": 0.8111165364583334}, {"start": 2874.22, "end": 2874.66, "word": " ترتاح", "probability": 0.9915364583333334}, {"start": 2874.66, "end": 2874.86, "word": " انت", "probability": 0.6846923828125}, {"start": 2874.86, "end": 2875.26, "word": " دائما", "probability": 0.8624674479166666}], "temperature": 1.0}, {"id": 107, "seek": 289618, "start": 2876.58, "end": 2896.18, "text": "الكلام اللي فوق هذا ال multiplication over ال addition يعني في عند a مضروبة في b زائد c اللي هي الأولى هذه multiplication over addition", "tokens": [6027, 28820, 10943, 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{"start": 3434.07, "end": 3435.51, "word": " significant", "probability": 0.82666015625}, {"start": 3435.51, "end": 3437.35, "word": " digit", "probability": 0.9697265625}, {"start": 3437.35, "end": 3438.33, "word": " least", "probability": 0.865234375}, {"start": 3438.33, "end": 3439.93, "word": " significant", "probability": 0.83349609375}, {"start": 3439.93, "end": 3440.79, "word": " digit", "probability": 0.98974609375}, {"start": 3440.79, "end": 3441.59, "word": " أقل", "probability": 0.97509765625}, {"start": 3441.59, "end": 3442.19, "word": " منزلة", "probability": 0.9679361979166666}, {"start": 3442.19, "end": 3444.09, "word": " بصبوت؟", "probability": 0.641650390625}, {"start": 3444.09, "end": 3444.91, "word": " طيب", "probability": 0.875}, {"start": 3444.91, "end": 3445.31, "word": " و", "probability": 0.5146484375}, {"start": 3445.31, "end": 3445.47, "word": " اللي", "probability": 0.880126953125}, {"start": 3445.47, "end": 3445.61, "word": " في", "probability": 0.96875}, {"start": 3445.61, "end": 3446.01, "word": " أقصى", "probability": 0.9952392578125}, {"start": 3446.01, "end": 3446.61, "word": " اليسار", "probability": 0.9900716145833334}, {"start": 3446.61, "end": 3449.91, "word": " ال", "probability": 0.68310546875}, {"start": 3449.91, "end": 3450.49, "word": " most", "probability": 0.935546875}, {"start": 3450.49, "end": 3451.91, "word": " significant", "probability": 0.85498046875}, {"start": 3451.91, "end": 3452.99, "word": " digit", "probability": 0.9833984375}, {"start": 3452.99, "end": 3453.59, "word": " ال", "probability": 0.908203125}, {"start": 3453.59, "end": 3454.07, "word": " most", "probability": 0.92236328125}, {"start": 3454.07, "end": 3455.35, "word": " significant", "probability": 0.86767578125}, {"start": 3455.35, "end": 3456.51, "word": " digit", "probability": 0.9912109375}, {"start": 3456.51, "end": 3456.97, "word": " لو", "probability": 0.927734375}, {"start": 3456.97, "end": 3457.17, "word": " أنا", "probability": 0.8427734375}, {"start": 3457.17, "end": 3457.39, "word": " جيت", "probability": 0.5963134765625}, {"start": 3457.39, "end": 3457.91, "word": " قلتلك", "probability": 0.8656005859375}], "temperature": 1.0}, {"id": 128, "seek": 348866, "start": 3459.64, "end": 3488.66, "text": "السبعة تلاتة صفر خمسة واحد ال least significant digit والسبعة هي ال most significant digit تمام في النظام في ال positional system في عندي أساس في عندي base بما أن احنا بستخدم نظام العشري ال decimal يعني ال base تبعتنا", "tokens": [6027, 35457, 27884, 6055, 1211, 9307, 3660, 20328, 5172, 2288, 16490, 2304, 3794, 3660, 36764, 24401, 2423, 1935, 4776, 14293, 16070, 35457, 27884, 39896, 2423, 881, 4776, 14293, 46811, 10943, 8978, 28239, 19913, 10943, 8978, 2423, 2535, 304, 1185, 8978, 18871, 16254, 5551, 3794, 32277, 8978, 18871, 16254, 3096, 4724, 15042, 14739, 1975, 5016, 8315, 4724, 14851, 9778, 40448, 8717, 19913, 10943, 18863, 8592, 16572, 2423, 26601, 37495, 22653, 2423, 3096, 6055, 3555, 34268, 8315], 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0.9944661458333334}, {"start": 3915.41, "end": 3916.55, "word": " حصة", "probability": 0.9715169270833334}, {"start": 3916.55, "end": 3916.87, "word": " عشرة", "probability": 0.9957682291666666}, {"start": 3916.87, "end": 3916.91, "word": " او", "probability": 0.8935546875}, {"start": 3916.91, "end": 3917.51, "word": " تسعة", "probability": 0.9944661458333334}, {"start": 3917.51, "end": 3917.51, "word": " حصة", "probability": 0.9749348958333334}, {"start": 3917.51, "end": 3917.75, "word": " عشرة", "probability": 0.99560546875}, {"start": 3917.75, "end": 3917.91, "word": " او", "probability": 0.892333984375}, {"start": 3917.91, "end": 3918.03, "word": " تسعة", "probability": 0.9944661458333334}, {"start": 3918.03, "end": 3918.03, "word": " حصة", "probability": 0.9767252604166666}, {"start": 3918.03, "end": 3918.27, "word": " عشرة", "probability": 0.99560546875}, {"start": 3918.27, "end": 3919.93, "word": " او", "probability": 0.877685546875}, {"start": 3919.93, "end": 3920.39, "word": " تسعة", "probability": 0.9944661458333334}, {"start": 3920.39, "end": 3920.45, "word": " حصة", "probability": 0.97900390625}, {"start": 3920.45, "end": 3920.81, "word": " عشرة", "probability": 0.9954427083333334}, {"start": 3920.81, "end": 3921.21, "word": " او", "probability": 0.869873046875}, {"start": 3921.21, "end": 3924.05, "word": " تسعة", "probability": 0.99365234375}, {"start": 3924.05, "end": 3926.51, "word": " حصة", "probability": 0.9801432291666666}, {"start": 3926.51, "end": 3926.77, "word": " عشرة", "probability": 0.9952799479166666}, {"start": 3926.77, "end": 3926.77, "word": " او", "probability": 0.82958984375}, {"start": 3926.77, "end": 3927.17, "word": " تسعة", "probability": 0.9930013020833334}, {"start": 3927.17, "end": 3929.07, "word": " حصة", "probability": 0.9803059895833334}, {"start": 3929.07, "end": 3929.53, "word": " عشرة", "probability": 0.9951171875}, {"start": 3929.53, "end": 3930.07, "word": " او", "probability": 0.772705078125}, {"start": 3930.07, "end": 3930.43, "word": " تسعة", "probability": 0.99169921875}, {"start": 3930.43, "end": 3931.01, "word": " حصة", "probability": 0.98291015625}, {"start": 3931.01, "end": 3931.41, "word": " عشرة", "probability": 0.9947916666666666}], "temperature": 1.0}, {"id": 145, "seek": 395326, "start": 3935.96, "end": 3953.26, "text": "بحدد شغلتين الأولى عدد ال digits فى النظام واتنين قيمة كل digit فى الرقم القيمة اللى أنا بفهمها ولا لأ المحاضرة اللى جاية ان شاء الله كمان بنأكدلك عليها بإذن الله فى أي سؤال تانى شباب الله يعطيكوا العافية ونشوفكوا ان شاء الله يوم الأحد الجاي", "tokens": [49628, 3215, 3215, 13412, 17082, 1211, 2655, 9957, 16247, 12610, 7578, 6225, 3215, 3215, 2423, 27011, 6156, 7578, 28239, 19913, 10943, 4032, 9307, 1863, 9957, 12174, 32640, 3660, 28242, 14293, 6156, 7578, 34892, 4587, 2304, 25062, 32640, 3660, 13672, 7578, 41850, 4724, 5172, 16095, 11296, 49429, 5296, 10721, 9673, 5016, 46958, 25720, 13672, 7578, 10874, 995, 10632, 16472, 13412, 16606, 21984, 9122, 2304, 7649, 44945, 10721, 4117, 3215, 23275, 25894, 11296, 4724, 28814, 8848, 1863, 21984, 6156, 7578, 36632, 8608, 33604, 6027, 6055, 7649, 7578, 13412, 3555, 16758, 21984, 37495, 9566, 1829, 4117, 14407, 18863, 31845, 10632, 4032, 1863, 8592, 38688, 4117, 14407, 16472, 13412, 16606, 21984, 7251, 20498, 16247, 24401, 25724, 47302], "avg_logprob": -0.18928180059842897, "compression_ratio": 1.9189189189189189, "no_speech_prob": 8.344650268554688e-06, "words": [{"start": 3935.96, "end": 3936.4, "word": "بحدد", "probability": 0.7275390625}, {"start": 3936.4, "end": 3937.0, "word": " شغلتين", "probability": 0.946875}, {"start": 3937.0, "end": 3937.64, "word": " الأولى", "probability": 0.7613118489583334}, {"start": 3937.64, "end": 3937.98, "word": " عدد", "probability": 0.927734375}, {"start": 3937.98, "end": 3938.08, "word": " ال", "probability": 0.9404296875}, {"start": 3938.08, "end": 3938.28, "word": " digits", "probability": 0.71875}, {"start": 3938.28, "end": 3938.5, "word": " فى", "probability": 0.5341796875}, {"start": 3938.5, "end": 3939.18, "word": " النظام", "probability": 0.8899739583333334}, {"start": 3939.18, "end": 3940.24, "word": " واتنين", "probability": 0.78558349609375}, {"start": 3940.24, "end": 3941.28, "word": " قيمة", "probability": 0.9899088541666666}, {"start": 3941.28, "end": 3941.72, "word": " كل", "probability": 0.9765625}, {"start": 3941.72, "end": 3942.34, "word": " digit", "probability": 0.88232421875}, {"start": 3942.34, "end": 3943.3, "word": " فى", "probability": 0.95556640625}, {"start": 3943.3, "end": 3944.06, "word": " الرقم", "probability": 0.9894205729166666}, {"start": 3944.06, "end": 3944.84, "word": " القيمة", "probability": 0.78759765625}, {"start": 3944.84, "end": 3944.9, "word": " اللى", "probability": 0.971435546875}, {"start": 3944.9, "end": 3945.0, "word": " أنا", "probability": 0.6708984375}, {"start": 3945.0, "end": 3945.6, "word": " بفهمها", "probability": 0.9710693359375}, {"start": 3945.6, "end": 3946.2, "word": " ولا", "probability": 0.6533203125}, {"start": 3946.2, "end": 3946.52, "word": " لأ", "probability": 0.73486328125}, {"start": 3946.52, "end": 3947.44, "word": " المحاضرة", "probability": 0.8961181640625}, {"start": 3947.44, "end": 3947.54, "word": " اللى", "probability": 0.658935546875}, {"start": 3947.54, "end": 3947.66, "word": " جاية", "probability": 0.7692057291666666}, {"start": 3947.66, "end": 3947.76, "word": " ان", "probability": 0.52001953125}, {"start": 3947.76, "end": 3947.86, "word": " شاء", "probability": 0.974609375}, {"start": 3947.86, "end": 3947.9, "word": " الله", "probability": 0.95361328125}, {"start": 3947.9, "end": 3948.14, "word": " كمان", "probability": 0.90380859375}, {"start": 3948.14, "end": 3948.64, "word": " بنأكدلك", "probability": 0.869140625}, {"start": 3948.64, "end": 3948.88, "word": " عليها", "probability": 0.966552734375}, {"start": 3948.88, "end": 3949.12, "word": " بإذن", "probability": 0.9365234375}, {"start": 3949.12, "end": 3949.32, "word": " الله", "probability": 0.93212890625}, {"start": 3949.32, "end": 3949.76, "word": " فى", "probability": 0.737548828125}, {"start": 3949.76, "end": 3949.84, "word": " أي", "probability": 0.429443359375}, {"start": 3949.84, "end": 3950.04, "word": " سؤال", "probability": 0.9954427083333334}, {"start": 3950.04, "end": 3950.24, "word": " تانى", "probability": 0.9222005208333334}, {"start": 3950.24, "end": 3950.66, "word": " شباب", "probability": 0.8961588541666666}, {"start": 3950.66, "end": 3951.46, "word": " الله", "probability": 0.7080078125}, {"start": 3951.46, "end": 3951.68, "word": " يعطيكوا", "probability": 0.750244140625}, {"start": 3951.68, "end": 3951.96, "word": " العافية", "probability": 0.8583984375}, {"start": 3951.96, "end": 3952.34, "word": " ونشوفكوا", "probability": 0.8489990234375}, {"start": 3952.34, "end": 3952.4, "word": " ان", "probability": 0.67236328125}, {"start": 3952.4, "end": 3952.54, "word": " شاء", "probability": 0.9873046875}, {"start": 3952.54, "end": 3952.56, "word": " الله", "probability": 0.9404296875}, {"start": 3952.56, "end": 3952.68, "word": " يوم", "probability": 0.989990234375}, {"start": 3952.68, "end": 3952.94, "word": " الأحد", "probability": 0.96240234375}, {"start": 3952.94, "end": 3953.26, "word": " الجاي", "probability": 0.6014404296875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3953.893875, "duration_after_vad": 3729.9143749999826}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/jApSE7DlaSU.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/jApSE7DlaSU.srt
new file mode 100644
index 0000000000000000000000000000000000000000..02bcfe10a5acfce73dc159606b65990efff24c19
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/jApSE7DlaSU.srt
@@ -0,0 +1,1803 @@
+1
+00:00:20,720 --> 00:00:22,940
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:22,940 --> 00:00:26,100
+اليوم إن شاء الله تعالى هراجع معاكم الـ chapter
+
+3
+00:00:26,100 --> 00:00:31,540
+يعني أنا كنت بحضر مراجعة سريعة ومجموعة من الأسئلة
+
+4
+00:00:31,540 --> 00:00:35,180
+أنحلها مع بعض وخصوصا على الموضوع الأخير لما
+
+5
+00:00:35,180 --> 00:00:39,400
+اتكلمنا عن الـ sign rule والـ cosine rule والمثلث
+
+6
+00:00:39,400 --> 00:00:44,060
+اللي موجود محتوى الـ chapter بكل بساطة يا شباب الـ
+
+7
+00:00:44,060 --> 00:00:47,460
+chapter ما كان فيه موضوعين أساسيات
+
+8
+00:00:48,410 --> 00:00:53,630
+موضوع الاختبار الأول التحويل من degree لـ radian و
+
+9
+00:00:53,630 --> 00:00:58,490
+من radian لـ degree تمام؟ لو كنت أنا بدي أعطيك
+
+10
+00:00:58,490 --> 00:01:02,390
+الدرجة بالـ degree أو بديكي الزاوية بالـ degree نظام
+
+11
+00:01:02,390 --> 00:01:09,230
+الدرجة تمام؟ وعشان أحولها لـ radian قلنا بدي اضرب
+
+12
+00:01:09,230 --> 00:01:12,710
+في π على 180 بدي اضرب الزاوية في π
+
+13
+00:01:12,710 --> 00:01:16,430
+على 180 يعني على سبيل المثال لو أنا قلت لك
+
+14
+00:01:16,430 --> 00:01:21,790
+حول الزاوية 270 ايش 
+
+15
+00:01:21,790 --> 00:01:32,130
+بتساوي؟ بدك تضرب في π على 180 × 2
+
+16
+00:01:32,130 --> 00:01:42,420
+× 3 وتساوي 3π على 2 هذه radian أصبح و
+
+17
+00:01:42,420 --> 00:01:48,440
+العكس لما بتحول من radian لـ degree تضرب في 180
+
+18
+00:01:48,440 --> 00:01:52,920
+على π لو أتيت أنا وقلت لك الزاوية اللي
+
+19
+00:01:52,920 --> 00:02:03,140
+عندي 2π على 3 هذه بالـ radian تمام عشان
+
+20
+00:02:03,140 --> 00:02:05,560
+أحولها لـ degree ايش المثال المفروض أساوي
+
+21
+00:02:15,750 --> 00:02:24,870
+120 درجة بصحيح الآن بتشوف الـ π هيك هل دي مكتوب
+
+22
+00:02:24,870 --> 00:02:30,470
+ببيعش راديان راديان بتشوف الدرجة بالشكل هذا لو أنا
+
+23
+00:02:30,470 --> 00:02:38,040
+أتيت وقلت لك مثلا 2 ولص وسكتت بينفعش بينفعش
+
+24
+00:02:38,040 --> 00:02:42,380
+لازم أحدد لك ايش هي الدرجة لو أنا قلت لك إن هذه
+
+25
+00:02:42,380 --> 00:02:47,420
+الدرجة radian الـ
+
+26
+00:02:47,420 --> 00:02:51,700
+2
+
+27
+00:02:51,700 --> 00:02:57,660
+.5 radian كده تساوي degree يا شباب؟
+
+28
+00:02:57,660 --> 00:03:05,800
+2.5 × 180 على π وهنا بتستخدم قيمة الـ π الحقيقية
+
+29
+00:03:05,800 --> 00:03:12,400
+اللي هي 3.14
+
+30
+00:03:12,400 --> 00:03:15,740
+× 180 على 3.14
+
+31
+00:03:22,380 --> 00:03:29,980
+أها إذا أنت حافظ جداً قيمة كل radian اللي هي 57.3
+
+32
+00:03:29,980 --> 00:03:34,440
+اضرب مباشرة خلنا بالـ calculator الآن هي 2 ونص
+
+33
+00:03:34,440 --> 00:03:37,840
+× 
+
+34
+00:03:37,840 --> 00:03:45,260
+180 ÷ 3.14 143
+
+35
+00:03:50,630 --> 00:03:54,510
+فاصلة 3 الحل الثاني اللي بيقول Osmico تعتمد
+
+36
+00:03:54,510 --> 00:04:00,350
+على أنت إذا ما تذكر قيمة الـ radian الواحد 57.3
+
+37
+00:04:00,350 --> 00:04:03,610
+فاصلة 3 مع ذلك أنا في عندي 2 ونص radian
+
+38
+00:04:03,610 --> 00:04:15,990
+× 57 فاصلة 3 بصحيح هيك 57
+
+39
+00:04:22,430 --> 00:04:29,850
+57.3 × 2.5 تقريباً 143 لأنه هي فيها كسر لأن القيمة
+
+40
+00:04:29,850 --> 00:04:34,210
+تقريباً ماشي الحال يا شباب؟ ممتاز وبالتالي التحويل
+
+41
+00:04:34,210 --> 00:04:37,990
+من radian لـ degree أو من degree لـ radian الأصل إنه
+
+42
+00:04:37,990 --> 00:04:44,530
+ما هيش فيه أي مشاكل هتبقى
+
+43
+00:04:44,530 --> 00:04:49,030
+بيقدر يذكرنا كيف جبنا يا شباب أو كيف حسبنا 57.3
+
+44
+00:04:49,030 --> 00:04:50,770
+كيف طلعت الواحد one radian
+
+45
+00:04:54,650 --> 00:05:02,890
+الشيء اللي قسمناها الـ 180 كيف؟ كيف؟ من البداية 2
+
+46
+00:05:02,890 --> 00:05:09,150
+π R محيط الدائرة اللي نصف قطرها 1 كان المفروض
+
+47
+00:05:09,150 --> 00:05:17,410
+يساوي 360 درجة، صحيح؟ هذه الفكرة وهذه بتقنيتها 1
+
+48
+00:05:17,410 --> 00:05:28,610
+فصار عندي 2π تساوي 360 π تساوي 180 درجة يعني واحد
+
+49
+00:05:28,610 --> 00:05:44,390
+درجة تساوي 180 على π 180 على 3.14 57.3 تقريباً
+
+50
+00:05:44,390 --> 00:05:47,790
+خلصنا
+
+51
+00:05:47,790 --> 00:05:51,810
+من الجزئية الأولى من المراجعة التي ليها علاقة بياش
+
+52
+00:05:52,690 --> 00:06:06,110
+بالحويل بين أنظمة القياس الخاصة بالزوايا فيما
+
+53
+00:06:06,110 --> 00:06:10,350
+يتعلق بالجزء الآخر اللي كان بالـ chapter أو الفصل
+
+54
+00:06:10,350 --> 00:06:14,970
+اللي راح نتكلم عليه اللي هو حساب المثلثات أو الـ
+
+55
+00:06:14,970 --> 00:06:18,730
+trigonometry تراجينومتري قلنا إذا ما بيكون عندنا
+
+56
+00:06:18,730 --> 00:06:23,940
+مثلث قائم الزاوية مثلث كيف تحكم على المثلث قائم
+
+57
+00:06:23,940 --> 00:06:29,040
+الزاوية؟ إذا ما شوفتش المربع هذا مرسوم أو ما شوفتش
+
+58
+00:06:29,040 --> 00:06:33,900
+كلمة 90 مكتوبة، تفتيش، ما تقولش هذا قائم الزاوية
+
+59
+00:06:33,900 --> 00:06:42,460
+طبعاً؟ الآن في المثلث قائم الزاوية طول الوتر يساوي
+
+60
+00:06:42,460 --> 00:06:50,070
+الجذر التربيعي لمربع الأول زائد مربع الثاني بقول الـ
+
+61
+00:06:50,070 --> 00:06:55,070
+water أو مربع الـ water يساوي مربع الضلع الأول زائد
+
+62
+00:06:55,070 --> 00:07:02,030
+مربع الضلع الثاني قانون فيثاغورس تمام؟ طيب بعد هيك
+
+63
+00:07:02,030 --> 00:07:06,610
+في المثلث قائم الزاوية سمينا الأضلاع الـ water الـ
+
+64
+00:07:06,610 --> 00:07:11,370
+hypotenuse الـ opposite والـ adjacent هذه الزاوية
+
+65
+00:07:11,370 --> 00:07:15,070
+مين؟ ثيتا لو أنا يا شباب أتيت وقلت إنك أنا بدي
+
+66
+00:07:15,070 --> 00:07:15,390
+Alpha
+
+67
+00:07:18,350 --> 00:07:23,570
+مباشرة هذا بيصير الـ Opposite وهذا الـ Adjacent
+
+68
+00:07:23,570 --> 00:07:28,670
+تبعته، ما تنساش حسب الزاوية بتغير، يعني المقابل
+
+69
+00:07:28,670 --> 00:07:32,910
+للزاوية هو الـ Opposite تمام؟ بناء على الـ
+
+70
+00:07:32,910 --> 00:07:36,170
+Opposite والـ Adjacent والـ Hypotenuse بدينا
+
+71
+00:07:36,170 --> 00:07:42,400
+نتكلم على مين؟ على الـ Geometric ratio sin θ تساوي
+
+72
+00:07:42,400 --> 00:07:46,220
+الـ opposite على الـ hypotenuse cos θ adjacent على
+
+73
+00:07:46,220 --> 00:07:50,620
+الـ hypotenuse tan θ opposite على الـ adjacent وكان
+
+74
+00:07:50,620 --> 00:07:54,400
+في عندي reciprocal functions أو reciprocal ratios
+
+75
+00:07:54,400 --> 00:08:03,460
+المقلوب وهذا نسميه cosecant تمام للثيتا وتساوي الـ
+
+76
+00:08:03,460 --> 00:08:07,320
+hypotenuse على الـ opposite بصحيح؟
+
+77
+00:08:10,400 --> 00:08:17,060
+الـ sec كانت لـ θ Hypotenuse على الـ adjacent والـ
+
+78
+00:08:17,060 --> 00:08:26,880
+cot الـ adjacent على الـ opposite واتكلمنا في
+
+79
+00:08:26,880 --> 00:08:31,800
+الخطوة اللي بعدها على الـ sign inverse أو الـ ratio
+
+80
+00:08:31,800 --> 00:08:39,880
+inverse الـ inverse ايش كان بيساوي الـ inverse
+
+81
+00:08:40,680 --> 00:08:47,220
+Ratio inverse بياخد من من الـ real number؟ طيب
+
+82
+00:08:47,220 --> 00:08:53,700
+الآن الـ ratio لاحظ القيمة يا شباب real number
+
+83
+00:08:53,700 --> 00:08:57,980
+مظبوط عدد حقيقي على عدد حقيقي فهيطلع عندي عدد
+
+84
+00:08:57,980 --> 00:09:03,760
+حقيقي والـ input تبعت الـ function زاوية وبالتالي
+
+85
+00:09:03,760 --> 00:09:07,420
+الـ inverse هياخد الـ real number
+
+86
+00:09:10,260 --> 00:09:13,860
+ويطلع للثيتا ويطلع للزاوية اللي موجودة عندي
+
+87
+00:09:13,860 --> 00:09:17,040
+الكلام هذا بتاعي إن ما فيش فيه مشكلة صحيح؟ تمام
+
+88
+00:09:17,040 --> 00:09:29,800
+الكلام
+
+89
+00:09:29,800 --> 00:09:38,210
+السابق كان مع الـ right Triangle Right Triangle يعني
+
+90
+00:09:38,210 --> 00:09:43,050
+زاوية قائمة أو Right Angle زاوية قائمة تمام؟ لكن
+
+91
+00:09:43,050 --> 00:09:46,670
+في المثلثات اللي أنا فعلياً بتكون غير قائمة الزاوية
+
+92
+00:09:46,670 --> 00:09:50,070
+أو مثلث غير قائم الزاوية وقلت لك المرة الماضية
+
+93
+00:09:50,070 --> 00:09:53,510
+المثلث قائم الزاوية هو حالة خاصة من .. من أي
+
+94
+00:09:53,510 --> 00:09:58,810
+مثلث عشان أقدر أتعامل مع المثلث وأجيب الأضلاع أو
+
+95
+00:09:58,810 --> 00:10:04,250
+أجيب الزوايا المطلوبة في عندي قانونين مهمات جداً الـ
+
+96
+00:10:04,250 --> 00:10:08,890
+Sine Rule والـ Cosine Rule قلنا في الـ Sine Rule
+
+97
+00:10:08,890 --> 00:10:14,090
+يا شباب إن في عندي علاقة أو نسبة ثابتة ما بين
+
+98
+00:10:14,090 --> 00:10:18,780
+الزاوية والضلع المقابل Sin الزاوية على الضلع
+
+99
+00:10:18,780 --> 00:10:25,200
+المقابل يساوي Sin الزاوية على الضلع المقابل يساوي
+
+100
+00:10:25,200 --> 00:10:30,020
+Sin الزاوية الثالثة على الضلع المقابل وإنشأنا X
+
+101
+00:10:30,020 --> 00:10:34,520
+الـ ratio Xها بتقول الضلع على Sin الزاوية
+
+102
+00:10:34,520 --> 00:10:39,340
+المقابلة يساوي الضلع على Sin الزاوية المقابلة
+
+103
+00:10:39,340 --> 00:10:43,720
+يساوي الضلع على Sin الزاوية المقابلة القانون هذا
+
+104
+00:10:43,720 --> 00:10:48,300
+ليش بتستخدمه؟ بدك تجيب واحدة من الاثنتين يا إما عشان
+
+105
+00:10:48,300 --> 00:10:53,620
+تجيب طول الضلع يا إما عشان تجيب قياس الزاوية طيب
+
+106
+00:10:53,620 --> 00:11:00,460
+تخيل عشان أقدر أعطيك أو تقدر تجيب لي زاوية مقلوبة
+
+107
+00:11:00,460 --> 00:11:06,340
+ايش لازم أوفر لك؟ لازم توفر لي الضلعين وزاوية عشان
+
+108
+00:11:06,340 --> 00:11:10,940
+تقول لي أنا هيها .. هيها دولة لازم أوفر لك ايه؟ و
+
+109
+00:11:10,940 --> 00:11:15,500
+بيك تطلع والزاوية ايه عشان تقدر الـGPD بدونها؟
+
+110
+00:11:15,500 --> 00:11:19,960
+مستحيل يعني لو أنا أديت لك الضلعين وسكتت وقلت لك
+
+111
+00:11:19,960 --> 00:11:26,720
+هاتي الزاوية إلا لو أنا قلت لك هذا المثلث هو عبارة
+
+112
+00:11:26,720 --> 00:11:31,740
+عن right triangle مثلث قائم الزاوية كلمة مثلث قائم
+
+113
+00:11:31,740 --> 00:11:34,540
+الزاوية معناته أنا already ما حطيت لك الزاوية 90
+
+114
+00:11:34,540 --> 00:11:38,240
+درجة وبالتالي بدك تشتغل عليها تستفيد من الأطلاع
+
+115
+00:11:38,240 --> 00:11:46,400
+اللي موجودة تمام كذلك في عندي الـ cosine rule الـ
+
+116
+00:11:46,400 --> 00:11:51,440
+cosine rule بيقول إن مربع أي ضلع في المثلث غير
+
+117
+00:11:51,440 --> 00:11:57,440
+قائم الزاوية مربع أي ضلع يساوي مجموع مربعات الأضلاع
+
+118
+00:11:57,440 --> 00:12:03,980
+الآخرين منهم ناقص ضعف ضرب الضلعين في بعض مضروب في
+
+119
+00:12:03,980 --> 00:12:08,800
+cosine الزاوية المقابلة يعني الآن الـ A تربيع هيها
+
+120
+00:12:08,800 --> 00:12:12,300
+الـ A تربيع أو بلاش عشان الـ A تربيع مكتوبة بدي
+
+121
+00:12:12,300 --> 00:12:18,900
+أتكلم على الـ B تربيع الـ B تربيع يساوي A تربيع زائد
+
+122
+00:12:18,900 --> 00:12:24,640
+C تربيع ناقص 
+
+123
+00:12:24,640 --> 00:12:32,380
+2 AC في cosine الـ B اللي هي الزاوية المقابلة
+
+124
+00:12:32,380 --> 00:12:38,050
+للضلع وبالتالي القانون هذا المفروض تحفظه زي اسمك تحفظ
+
+125
+00:12:38,050 --> 00:12:42,470
+واحد منهم تمام بتجيب الاشياء مباشرة بس بتصير تمدل
+
+126
+00:12:42,470 --> 00:12:46,450
+بالأضلاع اللي موجودة تمام القانون هذا عشان أجيب
+
+127
+00:12:46,450 --> 00:12:50,410
+كل الأضلاع بينفع أستخدمه عشان أجيب الزاوية أه بينفع
+
+128
+00:12:50,410 --> 00:12:58,910
+cosine الـ B ايش تساوي شباب A
+
+129
+00:12:58,910 --> 00:13:06,220
+تربيع زائد C تربيع ناقص B تربيع على 2 AC مين هذا
+
+130
+00:13:06,220 --> 00:13:12,480
+الكلام اللي سويتّه؟ عمليه بديعة Angle أول حاجة رحلت
+
+131
+00:13:12,480 --> 00:13:17,780
+هذه واخذت هذه مكانها فصارت سالب B تربيع وهذه
+
+132
+00:13:17,780 --> 00:13:23,100
+إشارتها صارت موجبة عشان أخلص من الـ 2 AC قسمت
+
+133
+00:13:23,100 --> 00:13:27,600
+الطرفين على 2 AC صفت عندي مين؟ Cosine الـ B،
+
+134
+00:13:27,600 --> 00:13:32,070
+صحيح؟ وبالتالي بقدر باعتمادي على الـ sign rule أو
+
+135
+00:13:32,070 --> 00:13:35,710
+الـ cosine rule أجيب طول ضلع أو أجيب الزاوية
+
+136
+00:13:35,710 --> 00:13:40,990
+المطلوبة حسب ايش المتوفر عندي حسب ايش المتوفر عندي
+
+137
+00:13:40,990 --> 00:13:42,510
+تمام؟
+
+138
+00:13:49,710 --> 00:13:55,570
+في ملخص ضريف ولطيف حاول تحفظه وتطبق عليه لما
+
+139
+00:13:55,570 --> 00:13:59,630
+أنت تبدأ تشتغل بريحك في اختيار المنهجية اللي بتاعة
+
+140
+00:13:59,630 --> 00:14:08,110
+الحل السؤال السؤال بيسألك هل المثلث اللي عندك قائم 
+
+141
+00:14:08,110 --> 00:14:11,970
+إزاي إذا
+
+142
+00:14:11,970 --> 00:14:19,250
+جالك اهه تريحك كثير ولا لا؟ ممتاز هل في أي زاوية
+
+143
+00:14:19,250 --> 00:14:22,930
+معطى عندك؟ لمثلث قائم الزاوية يعني في عندك 
+
+144
+00:14:22,930 --> 00:14:28,550
+زاوية قيمتها 90 وبسألك هل في المثلث في أي زاوية
+
+145
+00:14:28,550 --> 00:14:32,410
+ثانية معطى؟ بسألك آش عن الزاوية 90 الآن بسألك عن
+
+146
+00:14:32,410 --> 00:14:36,110
+أي زاوية ثانية إذا اه مباشرة بقولك روح استخدم إيش
+
+147
+00:14:36,110 --> 00:14:43,200
+الـ ratios استخدم الـ sign تساوي الـ hypotenuse على الـ
+
+148
+00:14:43,200 --> 00:14:46,440
+opposite على الـ hypotenuse استخدم الـ ratios لو
+
+149
+00:14:46,440 --> 00:14:51,440
+ما كانش فيه أي زاوية اعتمد على مين؟ اعتمد على الـ
+
+150
+00:14:51,440 --> 00:14:55,520
+fifth course يعني أنا فعليًا ممكن أعطيك أقولك هاي
+
+151
+00:14:55,520 --> 00:15:00,540
+مثلث قائم الزاوية وأقولك هات المجهول اللي فيه
+
+152
+00:15:00,540 --> 00:15:05,310
+بشرط أجي أقولك هنا في عندي أنا اثنين واثنين الآن
+
+153
+00:15:05,310 --> 00:15:10,670
+صار كم موقع عندك؟ صار عندك 3 مواقع بالعين وزاوية
+
+154
+00:15:10,670 --> 00:15:14,870
+عشان تقدر تشتغل وتجيب كل شيء شوفك تساوي هتقول هذه
+
+155
+00:15:14,870 --> 00:15:20,990
+جذرية ثمانية متساوي
+
+156
+00:15:20,990 --> 00:15:25,090
+الساقين يعني زاوية متساوية بدي أجيب زاوية منهم 45
+
+157
+00:15:25,090 --> 00:15:29,390
+لحالة حتى لو ما كتبتش أنت الخمسة وعادي فكرة تشتغل
+
+158
+00:15:29,390 --> 00:15:33,070
+بالقانون إيش هتروح تساوي هتروح تقول الآن الزاوية
+
+159
+00:15:33,070 --> 00:15:42,970
+هذه ثيتا مظبوط؟ إيش بيتساوي؟ sign ثيتا يساوي اثنين
+
+160
+00:15:42,970 --> 00:15:50,390
+على جذر الثمانية sign inverse لـ اثنين على جذر
+
+161
+00:15:50,390 --> 00:15:54,250
+الثمانية الأصل تقليل الزاوية اثنين على جذر
+
+162
+00:15:54,250 --> 00:16:00,650
+الثمانية كده الشباب؟ يعني هذه تساوي أربعة على
+
+163
+00:16:00,650 --> 00:16:01,690
+ثمانية تحت الجذر
+
+164
+00:16:05,600 --> 00:16:09,300
+واحد على جذر الاثنين إيش ازاي اللي تطلع واحد على
+
+165
+00:16:09,300 --> 00:16:16,660
+جذر الاثنين الـ sign تبعتها خمسة وأربعين واحد على جذر
+
+166
+00:16:16,660 --> 00:16:25,120
+الاثنين في خمسة اللي هي نصف نصف لـ sign 
+
+167
+00:16:25,120 --> 00:16:29,960
+الخمسة والأربعين جذر الاثنين على اثنين اللي هي واحد
+
+168
+00:16:29,960 --> 00:16:37,160
+على جذر الاثنين مظبوط وبالتالي تساوي خمسة وأربعين
+
+169
+00:16:37,160 --> 00:16:41,660
+درجة إذا أنت كنت ما انتبهت أن المثلث فعليًا متساوي
+
+170
+00:16:41,660 --> 00:16:46,000
+الأضلاع فمباشرة تكتب المثلث متساوي الأضلاع أو
+
+171
+00:16:46,000 --> 00:16:49,800
+متساوي الساقين الأضلاع وبالتالي الزاوية مقسومة
+
+172
+00:16:49,800 --> 00:16:53,460
+بالتساوي عندك تسعين ضال عندك تسعين فخمسة وأربعين
+
+173
+00:16:53,460 --> 00:16:55,560
+خمسة وأربعين تمام
+
+174
+00:17:01,760 --> 00:17:06,180
+لو أجي أقولك لأ لأ هو مش Triangle مش Right Angled
+
+175
+00:17:06,180 --> 00:17:10,540
+مافيش زاوية قائمة مش زاوية قائمة إيش بدي أسألك؟
+
+176
+00:17:10,540 --> 00:17:15,460
+بقى تسأله إيش موفر لك؟ هل موفر لك Side والزاوية
+
+177
+00:17:15,460 --> 00:17:23,800
+المقابلة إلها؟ إذا في المثلث المرسوم موفر لك
+
+178
+00:17:23,800 --> 00:17:27,220
+قيمة الزاوية والضلع المقابل اللي إليها
+
+179
+00:17:30,470 --> 00:17:38,770
+أشتغل على الـ ratio على الـ sign rule وإلا اعتمد على
+
+180
+00:17:38,770 --> 00:17:42,230
+الـ cosine rule عشان يبصر هو يوفر لك زوايا وبدك
+
+181
+00:17:42,230 --> 00:17:45,570
+تعتمد عشان تجيب أطوال الأضلاع اللي موجودة عندنا
+
+182
+00:17:45,570 --> 00:17:50,210
+تعالى نشوف نبدأ نطبق شغل عملي الكلام هذا على
+
+183
+00:17:50,210 --> 00:17:52,830
+مجموعة من المسائل اللي جيبناها المثلثات
+
+184
+00:17:55,750 --> 00:18:00,730
+مباشرة تستعجلش شوف الشباب عادة الوقت في الامتحان
+
+185
+00:18:00,730 --> 00:18:05,070
+.. في الامتحان لا هو ضيق جدا بحيث أن حضرة جنابك
+
+186
+00:18:05,070 --> 00:18:10,270
+بدك تصير بس تتجري مع الامتحان ولا هو مفتوح إلى
+
+187
+00:18:10,270 --> 00:18:14,370
+ماله نهاية عشان أنت إيش تقعد تفكر لبعد سنة الشغل
+
+188
+00:18:14,370 --> 00:18:18,590
+مديرية في أسئلة مباشرة تقدر تأخد فيها decision لكن
+
+189
+00:18:18,590 --> 00:18:22,730
+دائمًا اعطي نفسك دقيقة تتطلع في السؤال وتفهمه
+
+190
+00:18:22,730 --> 00:18:28,350
+كويس صدقني ما في سؤال مطلوب منك تحله في نص دقيقة حتى
+
+191
+00:18:28,350 --> 00:18:31,730
+الصح و غلط أو الاختيار من المتعدد بنكون تركين احنا
+
+192
+00:18:31,730 --> 00:18:37,810
+كل واحد منهم دقيقة تحله فعشان إيه بدك تتراوح الآن
+
+193
+00:18:37,810 --> 00:18:41,930
+المثلث هذا بقول هات الـ missing إيش الـ missing اللي
+
+194
+00:18:41,930 --> 00:18:47,950
+عندك الشباب قيمة الـ X والزاوية الداخلية هيها
+
+195
+00:18:47,950 --> 00:18:55,430
+الزاوية الداخلية كده إيش قيمتها خلّيني أسميها θيتا
+
+196
+00:18:55,430 --> 00:19:03,610
+تساوي 180 ناقص المجموعة اللي موجودة عندها ستين و
+
+197
+00:19:03,610 --> 00:19:07,690
+ثمانين وأربعين
+
+198
+00:19:07,690 --> 00:19:12,250
+إذا كان مشكلتك مع الحساب هيطيب يعني يا صاحبي
+
+199
+00:19:12,250 --> 00:19:20,950
+أربعين درجة تمام خلصنا الآن صار عندي الثلاث زوايا
+
+200
+00:19:20,950 --> 00:19:28,450
+موجودة الثلاث زوايا موجودة وعندي ضلع تمام؟ مطلوب
+
+201
+00:19:28,450 --> 00:19:33,550
+مني أجيب مين؟ إيه قيمة الـ X الآن؟ مباشرة بستخدم الـ
+
+202
+00:19:33,550 --> 00:19:40,650
+sign rule بحيث الـ missing اللي بدي أشتغل X على sign 80
+
+203
+00:19:40,650 --> 00:19:47,150
+تساوي سبعة على
+
+204
+00:19:47,150 --> 00:19:47,870
+ساين السبتين
+
+205
+00:19:54,730 --> 00:20:04,770
+طيب معناته الـ X بدها تساوي سبعة sign الـ 80 على
+
+206
+00:20:04,770 --> 00:20:13,230
+sign الـ 60 sign الـ 60 جدّيش يا شباب تمام معناته
+
+207
+00:20:13,230 --> 00:20:18,170
+عشان أنا بس بدي أحلها سبعة ضرب sign
+
+208
+00:20:25,730 --> 00:20:30,550
+Sin 60 هو لازم أحط الرقم ما أعرفش أستخدم الـ
+
+209
+00:20:30,550 --> 00:20:38,230
+calculator صدقًا Sin 60 تقسيم لأ
+
+210
+00:20:38,230 --> 00:20:44,050
+المفروض Sin 80 Sin 80
+
+211
+00:20:44,050 --> 00:20:52,490
+تقسيم Sin 60 ضرب 7
+
+212
+00:20:54,710 --> 00:21:00,910
+بيطلع قولوا اتضلع سبعة أو تقريبًا سبعة فاصلة تسعة ستة
+
+213
+00:21:00,910 --> 00:21:03,210
+لو كنت بتقولي تقريبًا ثمانية أنا ما عندي مشكلة في
+
+214
+00:21:03,210 --> 00:21:11,050
+الموضوع تمام؟ في مشكلة دي بتضلع التالي بعد هيك
+
+215
+00:21:11,050 --> 00:21:15,870
+عادة أنا في الامتحان بقول لك كده كل البيانات يعني
+
+216
+00:21:15,870 --> 00:21:19,930
+الآن هتلاقيني هتطلع كده نوعي بقول لك هات الـ missing
+
+217
+00:21:19,930 --> 00:21:22,850
+اللي هي الرموز اللي كل بكتر .. بدك تجيب الـ Y بقى
+
+218
+00:21:22,850 --> 00:21:27,470
+تجيبها بنفس الطريقة السؤال اللي بيطرح نفسه هل بقدر
+
+219
+00:21:27,470 --> 00:21:34,230
+أستخدم الـ cosine rule؟ اه بقدر ما فيش مشكلة الآن
+
+220
+00:21:34,230 --> 00:21:39,150
+cosine rule إيش بعتمد؟ أنا بدي قيمة الـ X هو بقول لي
+
+221
+00:21:39,150 --> 00:21:47,400
+الـ X تربيع حسب الـ cosine rule تساوي سبعة تربيع زائد
+
+222
+00:21:47,400 --> 00:21:56,300
+الـ Y تربيع ناقص اثنين سبعة Y في cosine الثمانين بس
+
+223
+00:21:56,300 --> 00:22:01,340
+أنا فعليًا ما ديبتش قيمة الـ Y فليش أنا أروح إذا كان
+
+224
+00:22:01,340 --> 00:22:05,240
+مش طالب مني قيمة الـ Y ليش أنا أروح أحسبها وعشان
+
+225
+00:22:05,240 --> 00:22:08,700
+أستخدمها طب ما في واحد أسهل من واحد اثنين هيدوك حل
+
+226
+00:22:08,700 --> 00:22:13,280
+صح بس في الآخر أنت مشيت خطوة الزيادة مالهاش معنى
+
+227
+00:22:20,050 --> 00:22:26,290
+حسب موقعية السؤال اللي بالـ pitch break السؤال
+
+228
+00:22:26,290 --> 00:22:32,870
+الجايد تعال
+
+229
+00:22:32,870 --> 00:22:33,230
+نشوف
+
+230
+00:22:36,780 --> 00:22:41,620
+هل هذا قائم الزاوية؟ لأ مش قائم الزاوية مديك زاوية
+
+231
+00:22:41,620 --> 00:22:45,280
+وضلع المقابل إلها؟ اه مديني زاوية وضلع المقابل
+
+232
+00:22:45,280 --> 00:22:51,560
+إلها و بده من مين؟ مين أسهل أستخدم الـ cosine ولا
+
+233
+00:22:51,560 --> 00:22:58,560
+أستخدم الـ sign؟ sign rule خمسة
+
+234
+00:22:58,560 --> 00:23:07,630
+فاصلة واحد على sign المية تساوي ثلاثة فاصلة ستة على
+
+235
+00:23:07,630 --> 00:23:13,830
+sign الـ B المطلوب هنا مظبوط؟ معناته
+
+236
+00:23:13,830 --> 00:23:23,470
+الـ sign الـ B يساوي ثلاثة فاصلة ستة في sign مية على
+
+237
+00:23:23,470 --> 00:23:25,970
+خمسة فاصلة واحد
+
+238
+00:23:35,190 --> 00:23:43,990
+طيب الآن ثلاثة حسبتها كويس بس
+
+239
+00:23:43,990 --> 00:23:48,770
+اصبر جدّيش القيمة تسعة
+
+240
+00:23:48,770 --> 00:23:52,870
+وستين من مية تسعة
+
+241
+00:23:52,870 --> 00:23:57,630
+وستين من مية بس المطلوب مين الزاوية مع ما تقول
+
+242
+00:23:57,630 --> 00:24:02,270
+أنا بدي sign inverse للقيمة اللي قلتي عندي هنا
+
+243
+00:24:07,870 --> 00:24:13,750
+ثلاثة وأربعين فاصلة ستة وبهيك أنت بتكون جيبت إيش
+
+244
+00:24:13,750 --> 00:24:19,490
+الزاوية وما تنساش إذا كانت الزاوية كلها مطلوبة منك
+
+245
+00:24:19,490 --> 00:24:23,550
+خلاص هفيه زاوية حسبت الثانية والثالثة مية و
+
+246
+00:24:23,550 --> 00:24:26,090
+ثمانين ناقص المجموع اللي عندك تحصل على الزاوية
+
+247
+00:24:26,090 --> 00:24:30,390
+الموجودة جدّيش؟
+
+248
+00:24:30,390 --> 00:24:33,430
+هتخلنيش
+
+249
+00:24:33,430 --> 00:24:35,650
+أندم أني بعتمد عليكم في الـ calculation اللي أنا
+
+250
+00:24:35,650 --> 00:24:40,010
+صارت فيه عند القراءات مختلفة من يصدق؟ أنا عشان ..
+
+251
+00:24:40,010 --> 00:24:43,570
+عشان الـ calculator هو عنده calculator 43.6 عنده
+
+252
+00:24:43,570 --> 00:24:58,610
+طلعت طيب حصل خير اللي بعدها الآن
+
+253
+00:24:58,610 --> 00:25:01,750
+بيعطيك ضلعين وبدوا زاوية
+
+254
+00:25:07,000 --> 00:25:11,280
+بالـ sign طب بدي أجرب حل بالـ cosine بينفع بينفع
+
+255
+00:25:11,280 --> 00:25:14,860
+cosine
+
+256
+00:25:14,860 --> 00:25:21,640
+الـ M يساوي مئة
+
+257
+00:25:21,640 --> 00:25:32,700
+زائد أربعة وستين ناقص ناقص آش اثنين وين اثنين
+
+258
+00:25:36,420 --> 00:25:40,240
+طيب تعال نتذكر قانون الـ cosine إيش بيقول إيه A
+
+259
+00:25:40,240 --> 00:25:48,060
+تربيع يساوي B تربيع زائد C تربيع ناقص اثنين بي سي
+
+260
+00:25:48,060 --> 00:25:54,080
+كوزاين الـ A كوزاين الـ A فخلصته ولما جولا متكلن
+
+261
+00:25:54,080 --> 00:25:58,300
+على الضلع على الـ cosine معناته صارت في عندي ناقص A
+
+262
+00:25:58,300 --> 00:26:02,560
+تربيع اللي هو الضلع المقابل للزاوية المطلوبة بس
+
+263
+00:26:02,560 --> 00:26:04,360
+أنا المفروض مش لازم أشتغل على هيك
+
+264
+00:26:21,140 --> 00:26:28,540
+هل في عندك مثلث غير قائم الزاوية؟ Do you know a
+
+265
+00:26:28,540 --> 00:26:33,790
+side and its opposite angle؟ لو كان yes هل في عندك
+
+266
+00:26:33,790 --> 00:26:37,310
+ضلع وزاوية مقابلة إله؟ اه في عندك ضلع وزاوية
+
+267
+00:26:37,310 --> 00:26:41,150
+مقابلة إله فمباشرة روح استخدم الـ sign rule لأنه
+
+268
+00:26:41,150 --> 00:26:46,350
+هيكون أسهل لك مباشرة بلما في عندك ضلع معلوم
+
+269
+00:26:46,350 --> 00:26:52,230
+والزاوية المقابلة تبعتة موجودة أسهل لك تستخدم الـ
+
+270
+00:26:52,230 --> 00:26:56,690
+sign rule هنا أنا فكرت أستخدم الـ cosine rule الآن
+
+271
+00:26:56,690 --> 00:27:00,250
+المفروض إذا افترضت هذه أنا معناته بدي القيمة اللي
+
+272
+00:27:00,250 --> 00:27:05,150
+هيعشان أقدر أطبق قانون في ثغرة لما يكون مربع أو
+
+273
+00:27:05,150 --> 00:27:09,010
+قائم مثل قائم الزاوية مش قائم الزاوية كيف تستخدم
+
+274
+00:27:09,010 --> 00:27:13,530
+ثغرة في ثغرة؟ طيب معناته توادة بحي الهش اللي غير
+
+275
+00:27:13,530 --> 00:27:18,530
+مين الـ sign عشرة
+
+276
+00:27:18,530 --> 00:27:29,130
+على sign الخمسة والسبعين يساوي ثمانية على sign الـ M
+
+277
+00:27:29,130 --> 00:27:36,780
+معنى to sign الـ M يساوي ثمانية مضروبة في الـ sign
+
+278
+00:27:36,780 --> 00:27:47,940
+الخمسة والسبعين على عشرة جدّيش القيمة؟
+
+279
+00:27:47,940 --> 00:27:55,960
+جدّيش؟
+
+280
+00:27:55,960 --> 00:28:00,400
+يساوي السكر قصة سبعين 
+
+281
+00:28:03,570 --> 00:28:13,610
+Sin Inverse لـ 77 Sin
+
+282
+00:28:13,610 --> 00:28:20,830
+Inverse كده؟ 50.6
+
+283
+00:28:20,830 --> 00:28:24,670
+اختلفوا
+
+284
+00:28:24,670 --> 00:28:29,070
+يا فقه براحتكم ما فيش مشكلة عندي اللي بعده
+
+285
+00:28:37,790 --> 00:28:50,610
+هو جايب يقول يبدل بيه منك على الـ sign خلاص فهمت اه
+
+286
+00:28:50,610 --> 00:28:55,410
+الآن الآن لو أنا اجيت
+
+287
+00:29:07,560 --> 00:29:18,020
+ما فيش مشكلة طيب هذه على الـ sign انسوه
+
+288
+00:29:18,020 --> 00:29:19,820
+حرين
+
+289
+00:29:42,690 --> 00:29:48,270
+ماشي الحال إيش
+
+290
+00:29:48,270 --> 00:29:54,950
+أنا بيعطيك؟ بيعطيك زاويتين و ضلع و تشتغل على الـ sign
+
+291
+00:29:54,950 --> 00:29:58,890
+اشتغل على الـ sign ما فيش مشكلة بس فيه أسهل أنا جاهز
+
+292
+00:29:58,890 --> 00:30:03,050
+بقول لك أن المثلث قائم الزاوية و مطلوب منك تدلع هذا
+
+293
+00:30:03,050 --> 00:30:09,550
+هي الـ water تقدر تجيب الدلع اللي بعده كيب ده قلبك
+
+294
+00:30:09,550 --> 00:30:14,910
+فيه فيثاغورس كمان جيبت الزاوية ما فيش مشكلة تسعين مية و
+
+295
+00:30:14,910 --> 00:30:21,010
+ثمانين ناقص تسعين خمسة زي سبعة و خمسين يعني أنت باك
+
+296
+00:30:21,010 --> 00:30:26,910
+تجيب .. اه؟ هو بده why؟
+
+297
+00:30:26,910 --> 00:30:32,530
+طيب يعني الآن أنت قاعد يقول أن ساعدي مستخدم في
+
+298
+00:30:32,530 --> 00:30:38,270
+فيثاغورس في فيثاغورس .. في فيثاغورس عشان أجيب أطول أطول
+
+299
+00:30:38,270 --> 00:30:43,270
+اللي يطلع تمام؟ دلع .. دلالة الدلعين التانيات بس
+
+300
+00:30:43,270 --> 00:30:46,150
+الدلع التاني أنا مش .. أنا في عندي الدلعين مجهولات
+
+301
+00:30:46,150 --> 00:30:49,650
+فأسهل إيه اللي هيستخدم منه؟ الـ sign rule
+
+302
+00:30:53,630 --> 00:31:02,130
+طيب ..الآن يا شباب في أي مشكلة في الشروط؟ تمام شوف
+
+303
+00:31:02,130 --> 00:31:09,450
+..الآن
+
+304
+00:31:09,450 --> 00:31:13,870
+في قانون الجمع و قانون الضرب في الزاوية بس في
+
+305
+00:31:13,870 --> 00:31:17,990
+عندي مشكلة آخر لكن أنا موجود عند الـ .. الـ bar الـ
+
+306
+00:31:17,990 --> 00:31:19,430
+PDF sign
+
+307
+00:31:27,970 --> 00:31:37,890
+Sin A زائد B إيش
+
+308
+00:31:37,890 --> 00:31:51,810
+يساوي؟ Sin A Cos B زائد أو ناقص Cos A في Sin B إيش
+
+309
+00:31:51,810 --> 00:31:52,910
+في صعب هذا القانون؟
+
+310
+00:31:56,580 --> 00:32:04,020
+طيب و اللي وراها؟ cosine الـ A زائد أو ناقص cosine
+
+311
+00:32:04,020 --> 00:32:12,460
+الـ B يساوي cosine الـ A cosine الـ B ناقص أو زائد
+
+312
+00:32:12,460 --> 00:32:20,200
+sine الـ A في sine الـ B إيش
+
+313
+00:32:20,200 --> 00:32:27,410
+إفراج؟ بس عكس الإشارة cos cos تطرح منها الـ sign
+
+314
+00:32:27,410 --> 00:32:35,210
+مصبوط؟ طيب إيش ممكن يجي السؤال زي هيك؟
+
+315
+00:32:35,210 --> 00:32:42,330
+أو روح أقول لك هتلي مجموع الزاوية هاي أو روح أقول لك
+
+316
+00:32:42,330 --> 00:32:48,010
+هتلي sign الخمسين زائد ثلاثين
+
+317
+00:32:53,390 --> 00:32:55,910
+طب ما أروح بجمعهم بعد ثمانين و بحاول بجيب الـ sign
+
+318
+00:32:55,910 --> 00:33:02,330
+الثمانين مبسوط ولا لأ؟ لكن لو أنا قلت لك .. أيوة ..
+
+319
+00:33:02,330 --> 00:33:07,910
+لو إيجى جالك مثلًا
+
+320
+00:33:07,910 --> 00:33:14,950
+جالك الـ sign تساوي الـ value هذه V بغض النظر إيش
+
+321
+00:33:14,950 --> 00:33:21,350
+كانت الـ V إيش بك تساوي؟ الـ sign
+
+322
+00:33:21,350 --> 00:33:28,210
+inverse للـ V يساوي خمسين زائد الثيتا، مصبوط؟ هاي
+
+323
+00:33:28,210 --> 00:33:33,190
+الحل المفروض يكون ثيتا
+
+324
+00:33:33,190 --> 00:33:45,910
+تساوي خمسين ما نقص Sin inverse للـ V sign
+
+325
+00:33:45,910 --> 00:33:52,010
+inverse كيف يا صاحبي؟ كيف؟ أنت الآن
+
+326
+00:34:00,290 --> 00:34:10,030
+Sin inverse لـ V ناقص الخمسين مظبوط كلامه أنا
+
+327
+00:34:10,030 --> 00:34:13,610
+ما انتبهتش لما نجلتش .. لما نجلت الإشارة ما غيرتش
+
+328
+00:34:13,610 --> 00:34:17,370
+إشارة الثيتا لما نجلت الـ .. ما غيرتش إشارة الثيتا
+
+329
+00:34:17,370 --> 00:34:22,090
+لأ الأصل إشارة الثيتا تتغير و بالتالي Sin inverse لـ
+
+330
+00:34:22,090 --> 00:34:24,530
+V ناقص الخمسين
+
+331
+00:34:28,380 --> 00:34:33,400
+الآن دلنا اللي هو القانون أو القوانين تبع الـ tan
+
+332
+00:34:33,400 --> 00:34:39,340
+الـ tan الزاوية
+
+333
+00:34:39,340 --> 00:34:45,900
+a زائد أو ما نقص b إيش تساوي؟
+
+334
+00:34:45,900 --> 00:34:49,060
+إيش تساوي؟
+
+335
+00:34:50,900 --> 00:35:02,000
+tan الـ A زائد أو ناقص tan الـ B على واحد ناقص أو 
+
+336
+00:35:02,000 --> 00:35:12,480
+زائد tan A في tan الـ B و هذا القانون كمان ما فيش فيه
+
+337
+00:35:12,480 --> 00:35:19,330
+مشكلة بس بدك تنتبه لعكس الإشارة في المقام يبقى
+
+338
+00:35:19,330 --> 00:35:24,690
+القانون الأخير اللي اتكلمنا فيه على محيط المثلث
+
+339
+00:35:24,690 --> 00:35:34,010
+الـ S قلنا
+
+340
+00:35:34,010 --> 00:35:41,690
+لك الـ S تساوي نص A زائد B زائد C وجينا قلنا sign
+
+341
+00:35:41,690 --> 00:35:47,990
+الـ A على 2 تساوي الجذر التربيعي
+
+342
+00:35:50,310 --> 00:36:03,650
+S ناقص B مضروبة في S ناقص C على BC و القوانين دي
+
+343
+00:36:03,650 --> 00:36:08,650
+سهلة أنك تحفظها لأن إذا أنت عرفت الدلع بدك تستخني
+
+344
+00:36:08,650 --> 00:36:12,430
+أو عرفت الزاوية بدك تستخني الزاوية المقابلة لأن
+
+345
+00:36:12,430 --> 00:36:16,210
+هذه الزاوية استثنت الدلع المقابل و اعتمدت فقط على
+
+346
+00:36:16,210 --> 00:36:23,530
+قطر العين بعد ما قال بي نفس الكلام Sin بي على اتنين
+
+347
+00:36:23,530 --> 00:36:31,410
+تساوي الجذر التربيعي لـ S ناقص A في S ناقص C على AC
+
+348
+00:36:31,410 --> 00:36:36,310
+هو القانون نفسه بس ما تكرر مش على التلات أطلاع و
+
+349
+00:36:36,310 --> 00:36:41,550
+التلات زوايا اللي موجودة تطبيقه .. تطبيقه مهم جدا
+
+350
+00:36:41,550 --> 00:36:46,490
+إذا بديك أطلاع بديك الأطلاع و ما بديكاش ولا زوايا
+
+351
+00:36:46,490 --> 00:36:52,290
+في الداخل اه لما أجيديك الآن شوف احنا قلنا سابق
+
+352
+00:36:52,290 --> 00:36:56,130
+المحاضرة الماضية مستحيل تحل أي سؤال بمعطين فقط
+
+353
+00:36:56,130 --> 00:36:59,390
+مستحيل لكن لو أنا اديتك تلاتة اجيت قلت لك هاي
+
+354
+00:36:59,390 --> 00:37:04,410
+المثلث هذا واحد و هذا اثنين و هذا تلاتة هات لي
+
+355
+00:37:04,410 --> 00:37:09,630
+الزوايا الداخلية للمثلث هذا
+
+356
+00:37:09,630 --> 00:37:14,410
+الطريقة اللي بتخدمك في الموضوع لإيش؟ لأن المحيط
+
+357
+00:37:14,410 --> 00:37:20,470
+موجود و كل شغلة الآن على الأطلع إذا جبت الـ sign تبعت
+
+358
+00:37:20,470 --> 00:37:24,110
+نص الـ a بجيب الـ Sin inverse بتاعتها و بضغط في
+
+359
+00:37:24,110 --> 00:37:26,470
+اثنين بجيب على الزاوية الأولى و بجيب على الزاوية
+
+360
+00:37:26,470 --> 00:37:30,630
+الثانية و الثالثة هي استخدام القانون الأخير اللي
+
+361
+00:37:30,630 --> 00:37:34,390
+كان موجود عندها بس هي تعلم حلو مع بعض
+
+362
+00:37:38,620 --> 00:37:44,960
+هذه المثال واحد عندي مثلث و مطلوب مني اجيب ثيتا
+
+363
+00:37:44,960 --> 00:37:54,400
+و بيتا و ألفا الزوايا التلاتة إن شاءت تسميهم A أو B
+
+364
+00:37:54,400 --> 00:37:59,700
+مش قوية كتير يعني نيجي الآن المحيط كده طوله الشباب
+
+365
+00:37:59,700 --> 00:38:05,440
+أو قص أشغبتها نص واحد زائد اثنين زائد تلاتة نص
+
+366
+00:38:05,440 --> 00:38:16,040
+الستة أصلاً تساوي تلاتة معناته الآن sin θ على اثنين
+
+367
+00:38:16,040 --> 00:38:22,680
+تساوي الجذر التربيعي لأ تلاتة ناقص الآن هاي الـ θ
+
+368
+00:38:22,680 --> 00:38:26,000
+تبقى تستخدمين الدلع المقابل لها تبقى تعتمد على
+
+369
+00:38:26,000 --> 00:38:31,660
+مين؟ على دلعين الموجودين تلاتة ناقص واحد في تلاتة
+
+370
+00:38:31,660 --> 00:38:34,160
+ناقص تلاتة
+
+371
+00:38:35,720 --> 00:38:45,500
+على واحد في تلاتة بيكون صفر sign الـ theta صفر sign
+
+372
+00:38:45,500 --> 00:38:48,760
+inverse
+
+373
+00:38:48,760 --> 00:38:57,300
+للصفر يساوي تسعين تسعين درجة اللي هي بدأت تساوي
+
+374
+00:38:57,300 --> 00:39:02,460
+θ على اثنين يعني θ تساوي خمسة و أربعين درجة
+
+375
+00:39:03,410 --> 00:39:10,550
+ما .. كدهش؟ مية و ثمانين؟ sign الصفر كده الشباب
+
+376
+00:39:10,550 --> 00:39:18,550
+اللي برد عليكم طيب طيب
+
+377
+00:39:18,550 --> 00:39:23,290
+ارجع لي بما بقى مش للقانون مين بيطلب على الـ slide
+
+378
+00:39:23,290 --> 00:39:27,190
+ديني الـ slide اللي معاك بس القانون صح اللي كتبناه
+
+379
+00:39:27,190 --> 00:39:31,690
+على اللوح اه صح ما فيش مشكلة طيب
+
+380
+00:39:36,730 --> 00:39:44,570
+θ بدجاه للضلع واحد تلاتة نص تلاتة ناقص واحد في 
+
+381
+00:39:44,570 --> 00:39:50,670
+صفر صفر اتصرت صفر Sin inverse Sin
+
+382
+00:39:50,670 --> 00:39:56,290
+inverse للصفر الـ Sin التسعين الـ Sin التسعين
+
+383
+00:39:56,290 --> 00:40:02,250
+الصفر يا أستاذ واحد واحد تسعين
+
+384
+00:40:02,250 --> 00:40:07,620
+الـ Sin الصفر θ على اثنين تت يعني صفر فاش زوايا
+
+385
+00:40:07,620 --> 00:40:14,020
+صفر القياس بالضبط احنا أخذنا أرقام أخذنا أرقام
+
+386
+00:40:14,020 --> 00:40:22,580
+عشوائية أربعة تلاتة خمسة طيب خليني أشوف أي مثلث
+
+387
+00:40:22,580 --> 00:40:28,880
+أطلعه مكتملة هذا
+
+388
+00:40:28,880 --> 00:40:36,320
+كله زوايا ستين ستين ستين مية و ثمانين شباب شباب
+
+389
+00:40:36,320 --> 00:40:39,980
+شباب الآن احنا كمان مرة الأرقام اللي حاطناها هنا
+
+390
+00:40:39,980 --> 00:40:47,500
+أرقام عشوائية تمام و بالتالي لربما قياسات الأضلاع
+
+391
+00:40:47,500 --> 00:40:50,900
+مش صحيحة في توزيعة الزوايا اللي موجودة عندي هنا
+
+392
+00:40:50,900 --> 00:40:55,780
+طيب لحظة
+
+393
+00:40:55,780 --> 00:41:00,220
+شوية اصبر اصبر شوية لو أنا افترضت أن المثلث هذا
+
+394
+00:41:00,220 --> 00:41:08,800
+قائم الزاوية هذا اثنين أربعة تربيع و هذا تسعة أربعة
+
+395
+00:41:08,800 --> 00:41:20,400
+أربعة و ستة جذر العشرين مصبوط خلينا
+
+396
+00:41:20,400 --> 00:41:24,820
+هنا المثلث
+
+397
+00:41:24,820 --> 00:41:30,360
+اللي عندنا الآن هيو ينسالي أن الزاوية دي قائمة و
+
+398
+00:41:30,360 --> 00:41:36,870
+قاعد بقول لك هات ليه الزاوية اللي موجودة أو هات لقيمة
+
+399
+00:41:36,870 --> 00:41:43,690
+الزاوية هاي θ الآن
+
+400
+00:41:43,690 --> 00:41:55,630
+الـ S بدها تساوي نص جذر العشرين زائد اثنين زائد 
+
+401
+00:41:55,630 --> 00:42:01,530
+أربعة جذر العشرين تقريبا جدش الشباب أربعة فاصلة
+
+402
+00:42:02,630 --> 00:42:12,270
+الآلة الحاسبة استخدم الآلة الحاسبة إيش أنا أربعة و ستة
+
+403
+00:42:12,270 --> 00:42:14,790
+عشر عشرين جذر العشرين على أنه مُثَلَث قائم الزمن
+
+404
+00:42:14,790 --> 00:42:21,890
+بس أنا اثنين و فاصلة خمسة الآن بده θ
+
+405
+00:42:27,040 --> 00:42:31,200
+مال معك الآلة الحاسبة؟ اديه الآلة الحاسبة؟ لأ لأ اديه
+
+406
+00:42:31,200 --> 00:42:38,140
+الآلة الحاسبة؟ حفظ الآلة الحاسبة جذر
+
+407
+00:42:38,140 --> 00:42:48,380
+الـ 20 إيش يمسووا فيها الآلة الحاسبة تبعتك أنت؟
+
+408
+00:42:48,380 --> 00:42:59,620
+تلاتة أربعة خمسة تلاتة أربعة خمسة و عشرين حاضر أريح
+
+409
+00:42:59,620 --> 00:43:03,280
+نص
+
+410
+00:43:03,280 --> 00:43:06,320
+تلاتة
+
+411
+00:43:06,320 --> 00:43:12,380
+زائد أربعة زائد خمسة تسعة و اثناشر تسعة و اثنين ..
+
+412
+00:43:12,380 --> 00:43:14,120
+ستة
+
+413
+00:43:16,980 --> 00:43:24,580
+بتعرفش تحسب أنت؟ خمسة زائد أربعة و تلاتة برجع
+
+414
+00:43:24,580 --> 00:43:30,020
+بقول لك الحج عليّ Sin
+
+415
+00:43:30,020 --> 00:43:41,580
+inverse لـ θ على اثنين بتتساوي ستة ناقص خمسة
+
+416
+00:43:41,580 --> 00:43:49,970
+مضروبة في ستة ناقص أربعة على خمسة في أربعة Sin
+
+417
+00:43:49,970 --> 00:44:06,430
+Sin Sin ساوي واحد في اثنين على جذر العشرين واحد
+
+418
+00:44:06,430 --> 00:44:07,290
+على جذر العشرة
+
+419
+00:44:15,330 --> 00:44:22,350
+الآن Sin inverse للواحد على جذر العشرة بيبقى يساوي
+
+420
+00:44:22,350 --> 00:44:32,510
+θ على اثنين واحد 
+
+421
+00:44:32,510 --> 00:44:39,850
+تقسيم جذر العشرة shift
+
+422
+00:44:47,230 --> 00:44:54,970
+الـ sign inverse على واحد تقسيم على جذر العشرة
+
+423
+00:44:54,970 --> 00:44:59,170
+error
+
+424
+00:44:59,170 --> 00:45:08,450
+جدا ش؟ تمانتعاش تساوي
+
+425
+00:45:08,450 --> 00:45:16,200
+تمانتعاش فاصلة أربعة معنى ثيتا بتتساوي سبعة و
+
+426
+00:45:16,200 --> 00:45:21,520
+ثلاثين فاصلة ثمانية هذه الزاوية الأولى الزاوية
+
+427
+00:45:21,520 --> 00:45:25,860
+الثانية ألفة
+
+428
+00:45:25,860 --> 00:45:29,740
+صار في عندنا المقابل تبعها موجود أسهل لي بروح بعتمد
+
+429
+00:45:29,740 --> 00:45:36,980
+ايش؟ أعتمد على الـ sign تلاتة على الـ sign السبعة و
+
+430
+00:45:36,980 --> 00:45:40,640
+ثلاثين فاصلة ثمانية تساوي
+
+431
+00:45:43,500 --> 00:45:49,420
+ليش خمسة؟ أربعة أربعة على sign الـ alpha أربعة على
+
+432
+00:45:49,420 --> 00:45:55,480
+sign الـ alpha بعد هيك خلاص صار عندك قانون الـ sign
+
+433
+00:45:55,480 --> 00:45:58,720
+بتكمل في القيم الموجودة عندك أنا كانت مشكلتي أن 
+
+434
+00:45:58,720 --> 00:46:00,980
+أنا دورت على calculator كان ما يعتمدش على أي واحد
+
+435
+00:46:00,980 --> 00:46:07,720
+يحلل ليه يقعد يعتمد على الـ calculator نص
+
+436
+00:46:07,720 --> 00:46:11,160
+المحيط نص محيط هي
+
+437
+00:46:14,250 --> 00:46:29,030
+نص محيط المثلث مجموع أطلعه S محيط
+
+438
+00:46:29,030 --> 00:46:33,530
+المثلث هو عبارة عن مجموع أطلعه الـ area تبعته
+
+439
+00:46:33,530 --> 00:46:40,850
+مساحته تساوي نص القاعدة الـ base مضروبة في الـ
+
+440
+00:46:40,850 --> 00:46:41,230
+height
+
+441
+00:46:44,610 --> 00:46:56,290
+الارتفاع أربعة نص في أربعة في ثلاثة ستة المحيط كان
+
+442
+00:46:56,290 --> 00:47:03,710
+يساوي عشرة في فرق بين المساحة وبين
+
+443
+00:47:03,710 --> 00:47:08,950
+طول الأضلاع السور تبع المثلث اللي موجود عندي هنا
+
+444
+00:47:10,070 --> 00:47:14,410
+ماشي الحال شباب هيك الشابتر المفروض يكون انتهى و
+
+445
+00:47:14,410 --> 00:47:20,810
+.. يعني أدينا أسئلة كمان بزيادة الـ .. ايش اليوم؟
+
+446
+00:47:20,810 --> 00:47:29,030
+ثلاثة يوم الخميس تمام؟ الساعة .. بعد الساعة اثنا عشر
+
+447
+00:47:29,030 --> 00:47:34,620
+الظهر هينفتح لك و ازئلك على الـ model بنفتح quiz عندك
+
+448
+00:47:34,620 --> 00:47:39,500
+على الـ model تحلّه لوحدك وأنت قاعد لحالك تمام؟
+
+449
+00:47:39,500 --> 00:47:44,660
+هينفتح عندك quiz تمام؟ مدته خمس دقائق تجاوب على
+
+450
+00:47:44,660 --> 00:47:49,920
+الأسئلة زي ما الـ quiz موجود اللي قعدت كله عارف
+
+451
+00:47:49,920 --> 00:47:50,280
+الشباب 
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/jApSE7DlaSU_postprocess.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/jApSE7DlaSU_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d547196100527fdaf86e64e3de81448ec1d7c459
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/jApSE7DlaSU_postprocess.srt
@@ -0,0 +1,1804 @@
+1
+00:00:20,720 --> 00:00:22,940
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:22,940 --> 00:00:26,100
+اليوم ان شاء الله تعالى هراجع معاكوا ال chapter
+
+3
+00:00:26,100 --> 00:00:31,540
+يعني انا كنت بحضر مراجعة سريعة ومجموعة من الأسئلة
+
+4
+00:00:31,540 --> 00:00:35,180
+انحلها مع بعض وخصوصا على الموضوع الأخير لما
+
+5
+00:00:35,180 --> 00:00:39,400
+اتكلمنا عن ال sign rule و ال cosine rule و المثلث
+
+6
+00:00:39,400 --> 00:00:44,060
+اللي موجود محتوى ال chapter بكل بساطة يا شباب ال
+
+7
+00:00:44,060 --> 00:00:47,460
+chapter ماكان فيه موضوعين أساسيات
+
+8
+00:00:48,410 --> 00:00:53,630
+موضوع الاختبار الاول التحويل من degree ل radian و
+
+9
+00:00:53,630 --> 00:00:58,490
+من radian ل degree تمام؟ لو كنت انا بدي اعطيك
+
+10
+00:00:58,490 --> 00:01:02,390
+الدرجة بال degree او بديكي الزاوية بال degree نظام
+
+11
+00:01:02,390 --> 00:01:09,230
+الدرجة تمام؟ و عشان اتحوليها ل radianقلنا بدي اضرب
+
+12
+00:01:09,230 --> 00:01:12,710
+في باي على نية و تمانين بدي اضرب الزاوية في باي
+
+13
+00:01:12,710 --> 00:01:16,430
+على نية و تمانين يعني على سبيل المثال لو انا قلتلك
+
+14
+00:01:16,430 --> 00:01:21,790
+حولي الزاوية ميتين و سبعين ايش
+
+15
+00:01:21,790 --> 00:01:32,130
+بك تساوي؟ بدك تضرب في باي على مية و تمانين اتنين
+
+16
+00:01:32,130 --> 00:01:42,420
+تلاتة وتساوي تلاتة byعلى اتنين هذه radian أصبح و
+
+17
+00:01:42,420 --> 00:01:48,440
+العكس لما بتحول من radian ل degree تضرب في مية و
+
+18
+00:01:48,440 --> 00:01:52,920
+تمانين على πاي لو اتيت انا و قولت لك الزاوية اللي
+
+19
+00:01:52,920 --> 00:02:03,140
+عندى اتنين πاي على تلاتة هذه بال radian تمام عشان
+
+20
+00:02:03,140 --> 00:02:05,560
+احولها ل degree ايش المثال المفروض ساوي
+
+21
+00:02:15,750 --> 00:02:24,870
+120 درجة بصبوط الآن بتشوف ال باي هيك هل دي مكتوب
+
+22
+00:02:24,870 --> 00:02:30,470
+ببيعش رديان رديان بتشوف الدرجة بالشكل هذا لو انا
+
+23
+00:02:30,470 --> 00:02:38,040
+اتيت و قلت لك مثلا اتنين و لص و سكتت بينفعشبينفعش
+
+24
+00:02:38,040 --> 00:02:42,380
+لازم احددلك ايش هي الدرجة لو انا قلتلك ان هذه
+
+25
+00:02:42,380 --> 00:02:47,420
+الدرجة radian ال
+
+26
+00:02:47,420 --> 00:02:51,700
+2
+
+27
+00:02:51,700 --> 00:02:57,660
+.5 radian كده تساوي degree يا شباب؟
+
+28
+00:02:57,660 --> 00:03:05,800
+2.5 ضب 180على PY وهنا بتستخدم قيمة الـ PY الحقيقية
+
+29
+00:03:05,800 --> 00:03:12,400
+اللي هي تلاتة ضربية
+
+30
+00:03:12,400 --> 00:03:15,740
+تمانين على تلاتة فاصلة اربعتاش
+
+31
+00:03:22,380 --> 00:03:29,980
+اها اذا انت حافظ جداش قيمة كل radian اللي هي 57.3
+
+32
+00:03:29,980 --> 00:03:34,440
+اضرب مباشرة خلنا بال calculator الآن هي اتنين و نص
+
+33
+00:03:34,440 --> 00:03:37,840
+ضربوا
+
+34
+00:03:37,840 --> 00:03:45,260
+180 تقسيم 3.14 143
+
+35
+00:03:50,630 --> 00:03:54,510
+فاصلة ثلاثة الحل التاني اللي بيقول Osmico تعتمد
+
+36
+00:03:54,510 --> 00:04:00,350
+على انت إذا ماتذكر قيمة ال radian الواحد 57.3
+
+37
+00:04:00,350 --> 00:04:03,610
+فاصلة ثلاثة مع ذلك انا في عند اتنين و نص radian
+
+38
+00:04:03,610 --> 00:04:15,990
+ضرب 57 فاصلة ثلاثة بصبت هيك 57
+
+39
+00:04:22,430 --> 00:04:29,850
+57.3×2.5 تقريباً 25 لأنه هي فيها كسر لأن القيمة
+
+40
+00:04:29,850 --> 00:04:34,210
+تقريباً ماشي الحال يا شباب؟ ممتاز وبالتالي التحويل
+
+41
+00:04:34,210 --> 00:04:37,990
+من radian ل degree أو من degree ل radian الأصل أنه
+
+42
+00:04:37,990 --> 00:04:44,530
+ماهيش فيه أي مشاكل هتبقى
+
+43
+00:04:44,530 --> 00:04:49,030
+بيقدر يذكرنا كيف جبنا يا شباب أو كيف حسبنا 57.3
+
+44
+00:04:49,030 --> 00:04:50,770
+كيف طلعت الواحد one radian
+
+45
+00:04:54,650 --> 00:05:02,890
+الشيء اللي قسمناها ال 100 كيف؟ كيف؟ من البداية 2
+
+46
+00:05:02,890 --> 00:05:09,150
+by R محيط الدائرة اللي نصف قطرها 1 كان المفروض
+
+47
+00:05:09,150 --> 00:05:17,410
+يساوي 360 درجة، مصبوط؟ هذه الفكرة وهذه بتقنيتها 1
+
+48
+00:05:17,410 --> 00:05:28,610
+فصرت عند 2 by تساوي 360بي تساوي 180 درجة يعني واحد
+
+49
+00:05:28,610 --> 00:05:44,390
+درجة تساوي 180 على باي 180 على 3.14 57.3 تقريبا
+
+50
+00:05:44,390 --> 00:05:47,790
+خلصنا
+
+51
+00:05:47,790 --> 00:05:51,810
+من الجزئية الأولى من المراجعة التي ليها علاقة بياش
+
+52
+00:05:52,690 --> 00:06:06,110
+بالتحويل بين أنظمة القياس الخاصة بالزوايا فيما
+
+53
+00:06:06,110 --> 00:06:10,350
+يتعلق بالجزء الآخر اللي كان بال chapter او الفصل
+
+54
+00:06:10,350 --> 00:06:14,970
+اللي راح نتكلم عليه اللي هو حساب المثلثات او ال
+
+55
+00:06:14,970 --> 00:06:18,730
+trigonometry تراجينومتري قلنا اذا ما بيكون عندنا
+
+56
+00:06:18,730 --> 00:06:23,940
+مثلث قائم الزاوية مثلثكيف تحكم على المثلث قائم
+
+57
+00:06:23,940 --> 00:06:29,040
+الزاوية؟ إذا ما شوفتش المربع هذا مرسوم أو ما شوفتش
+
+58
+00:06:29,040 --> 00:06:33,900
+كلمة 90 مكتوبة، تفتيش، ما تقولش هذا قائم الزاوية
+
+59
+00:06:33,900 --> 00:06:42,460
+طبعا؟ الآن في المثلث قائم الزاوية طول الوتر يساوي
+
+60
+00:06:42,460 --> 00:06:50,070
+الجذر الترديعي لمربع الأول زائد مربع التانيبقول ال
+
+61
+00:06:50,070 --> 00:06:55,070
+water او مربع ال water يساوي مربع الضلع الأول زي
+
+62
+00:06:55,070 --> 00:07:02,030
+مربع الضلع التاني قانون في ثغورس تمام؟ طيب بعد هيك
+
+63
+00:07:02,030 --> 00:07:06,610
+في المثلث قائم الزاوية سمنا الأضلع ال water ال
+
+64
+00:07:06,610 --> 00:07:11,370
+hypotenuse ال opposite و ال adjacent هذه الزاوية
+
+65
+00:07:11,370 --> 00:07:15,070
+مين؟ فيتا لو انا يا شباب اتيت و قلت انك انا بدي
+
+66
+00:07:15,070 --> 00:07:15,390
+Alpha
+
+67
+00:07:18,350 --> 00:07:23,570
+مباشرة هذا بيصير الـ Opposite و هذا الـ Adjacent
+
+68
+00:07:23,570 --> 00:07:28,670
+تبعتها، ما تنساش حسب الزاوية بتغير، يعني المقابل
+
+69
+00:07:28,670 --> 00:07:32,910
+للزاوية هو الـ Opposite تمام؟ بناء على الـ
+
+70
+00:07:32,910 --> 00:07:36,170
+Opposite و الـ Adjacent و الـ Hypotenuse بدينا
+
+71
+00:07:36,170 --> 00:07:42,400
+نتكلم على مين؟ على الـ Geometricratio sin θ تساوي
+
+72
+00:07:42,400 --> 00:07:46,220
+ال opposite على ال hypotenuse cos θ adjacent على
+
+73
+00:07:46,220 --> 00:07:50,620
+ال hypotenuse tan θ opposite على ال adjacent وكان
+
+74
+00:07:50,620 --> 00:07:54,400
+في عندي reciprocal functions او reciprocal ratios
+
+75
+00:07:54,400 --> 00:08:03,460
+المقلوب وهذا يسميها cosecant تمام للثتا وتساوي ال
+
+76
+00:08:03,460 --> 00:08:07,320
+hypotenuse على ال opposite بصبورت؟
+
+77
+00:08:10,400 --> 00:08:17,060
+الـ C كانت لـ θ Hybotenous على الـ adjacent والـ
+
+78
+00:08:17,060 --> 00:08:26,880
+cotal الـ adjacent على ال opposite واتكلمنا في
+
+79
+00:08:26,880 --> 00:08:31,800
+الخطوة اللي بعدها على ال sign inverse او ال ratio
+
+80
+00:08:31,800 --> 00:08:39,880
+inverse ال inverse ايش كان بيساوي ال inverse
+
+81
+00:08:40,680 --> 00:08:47,220
+Ratio inverse بياخد من من الـ real number؟ طيب
+
+82
+00:08:47,220 --> 00:08:53,700
+الآن ال ratio لاحظش القيمة يا شباب real number
+
+83
+00:08:53,700 --> 00:08:57,980
+مظبوط عدد حقيقي على عدد حقيقي فهيطلع عندي عدد
+
+84
+00:08:57,980 --> 00:09:03,760
+حقيقي و ال input تبعت ال function زاوية و بالتالي
+
+85
+00:09:03,760 --> 00:09:07,420
+ال inverse هياخد ال real number
+
+86
+00:09:10,260 --> 00:09:13,860
+و يطلع للثيتا و يطلع للزاوية اللي موجودة عندي
+
+87
+00:09:13,860 --> 00:09:17,040
+الكلام هذا بتاعي ان مافيش فيه مشكلة صحيح؟ تمام
+
+88
+00:09:17,040 --> 00:09:29,800
+الكلام
+
+89
+00:09:29,800 --> 00:09:38,210
+السابق كان مع ال rightTriangle Right Triangle يعني
+
+90
+00:09:38,210 --> 00:09:43,050
+زاوية قائمة أو Right Angle زاوية قائمة تمام؟ لكن
+
+91
+00:09:43,050 --> 00:09:46,670
+في المثلثات اللي أنا فعليا بتكون غير قائمة الزاوية
+
+92
+00:09:46,670 --> 00:09:50,070
+أو مثلث غير قائم الزاوية وقلتلك المرة الماضية
+
+93
+00:09:50,070 --> 00:09:53,510
+المثلث قائم الزاوية هو على حالة خاصة من .. من أي
+
+94
+00:09:53,510 --> 00:09:58,810
+مثلث عشان أقدر أتعامل مع المثلث و أجيب الأضلاع أو
+
+95
+00:09:58,810 --> 00:10:04,250
+أجيب الزوايا المطلوبة في عندي قانونين مهمات جداالـ
+
+96
+00:10:04,250 --> 00:10:08,890
+Sine Rule والـ Cosine Rule قلنا في الـ Sine Rule
+
+97
+00:10:08,890 --> 00:10:14,090
+يا شباب أن في عندي علاقة أو نسبة ثابتة ما بين
+
+98
+00:10:14,090 --> 00:10:18,780
+الزاوية والضلع المقابلSin الزاوية على الضلع
+
+99
+00:10:18,780 --> 00:10:25,200
+المقابل يساوي Sin الزاوية على الضلع المقابل يساوي
+
+100
+00:10:25,200 --> 00:10:30,020
+Sin الزاوية التالتة على الضلع المقابل وانشئت أكس
+
+101
+00:10:30,020 --> 00:10:34,520
+ال ratio أكسها بتقول الضلع على Sin الزاوية
+
+102
+00:10:34,520 --> 00:10:39,340
+المقابلة يساوي الضلع على Sin الزاوية المقابلة
+
+103
+00:10:39,340 --> 00:10:43,720
+يساوي الضلع على Sin الزاوية المقابلة القانون هذا
+
+104
+00:10:43,720 --> 00:10:48,300
+ليش بتستخدمه؟بدك تجيب واحدة من التنتين يا اما عشان
+
+105
+00:10:48,300 --> 00:10:53,620
+تجيب قول الضلع يا اما عشان تجيب قياس الزاوية طيب
+
+106
+00:10:53,620 --> 00:11:00,460
+تخيل عشان اقدر اعطيك او تقدر تجيبلي زاوية مقلوبة
+
+107
+00:11:00,460 --> 00:11:06,340
+ايش لازم اوفرلك؟وازم توفرلي الضلعين و زاوية عشان
+
+108
+00:11:06,340 --> 00:11:10,940
+تقولي انا هيها .. هيها دولة فلازم اوفرلك ايه؟ و
+
+109
+00:11:10,940 --> 00:11:15,500
+بيك اطلع و الزاوية ايه عشان تقدر الـGPD بدونها؟
+
+110
+00:11:15,500 --> 00:11:19,960
+مستحيل يعني لو انا اديتلك الضلعين و ساكتت و قولتلك
+
+111
+00:11:19,960 --> 00:11:26,720
+هاتي الزاويةإلا لو أنا قلتلك هذا المثلث هو عبارة
+
+112
+00:11:26,720 --> 00:11:31,740
+عن right triangle مثلث قائم الزاوية كلمة مثلث قائم
+
+113
+00:11:31,740 --> 00:11:34,540
+الزاوية معناته انا already ماحطك الزاوية تسعين
+
+114
+00:11:34,540 --> 00:11:38,240
+درجة وبالتالي بدك تشتغل عليها تستفيد من الأطلاع
+
+115
+00:11:38,240 --> 00:11:46,400
+اللي موجودة تمام كذلك في عندي ال cosine ruleالـ
+
+116
+00:11:46,400 --> 00:11:51,440
+cosine rule بيقول إن مربع أي ضلع في المثلث غير
+
+117
+00:11:51,440 --> 00:11:57,440
+قائم الزاوية مربع أي ضلع يساوي مجموع مربعات الأضاء
+
+118
+00:11:57,440 --> 00:12:03,980
+ماتروح منهم حصد ضعف ضرب الضلعين في بعض مضروب في
+
+119
+00:12:03,980 --> 00:12:08,800
+cosine الزاوية المقابلة يعني الآن الـA تربيع هيها
+
+120
+00:12:08,800 --> 00:12:12,300
+الـA تربيع أو بلاش عشان الـA تربيع مكتوبة بدي
+
+121
+00:12:12,300 --> 00:12:18,900
+اتكلم على الـB تربيعالـ B تربيع يساوي A تربيع زائد
+
+122
+00:12:18,900 --> 00:12:24,640
+C تربيع ناقص
+
+123
+00:12:24,640 --> 00:12:32,380
+اتنين AC في كزايم الـ B اللي هي الزاوية المقابلة
+
+124
+00:12:32,380 --> 00:12:38,050
+للضلع وبالتالي القانون هذامفروض تحفظه زي اسمك تحفظ
+
+125
+00:12:38,050 --> 00:12:42,470
+واحد منهم تمام بتجيب الاش مباشرة بس بتصير تمدل
+
+126
+00:12:42,470 --> 00:12:46,450
+بالأضلاع اللي موجودة تمام القانون هذا عشان أجيبه
+
+127
+00:12:46,450 --> 00:12:50,410
+كل الضلال بينفع أستخدمه عشان أجيب الزاوية أه بينفع
+
+128
+00:12:50,410 --> 00:12:58,910
+كزاين ال B إيش تساوي شباب A
+
+129
+00:12:58,910 --> 00:13:06,220
+تربيع زائد C تربيع نقص B تربيع على اتنين ACمين هذا
+
+130
+00:13:06,220 --> 00:13:12,480
+الكلام اللي سويته؟ عمالة بديعة Angle أول حاجة رحلت
+
+131
+00:13:12,480 --> 00:13:17,780
+هذه واخدت هذه مكانها فصارت سالم بتربيع وهذه
+
+132
+00:13:17,780 --> 00:13:23,100
+إشارتها صارت موجبة عشان أخلص من الاتنين AC جسمت
+
+133
+00:13:23,100 --> 00:13:27,600
+الطرفين على اتنين AC صفت عندي مين؟ كروزاين الـB،
+
+134
+00:13:27,600 --> 00:13:32,070
+مظبوط؟وبالتالي بقدر باعتمادي على ال sign rule او
+
+135
+00:13:32,070 --> 00:13:35,710
+ال cosine rule اجيب طول ضلع او اجيب الزاوية
+
+136
+00:13:35,710 --> 00:13:40,990
+المطلوبة حسب ايش المتوفر عندي حسب ايش المتوفر عندي
+
+137
+00:13:40,990 --> 00:13:42,510
+تمام؟
+
+138
+00:13:49,710 --> 00:13:55,570
+في ملخص ضريف و لطيف حاول تحفظه و اتطبق عليه لما
+
+139
+00:13:55,570 --> 00:13:59,630
+انت تبدأ تشتغل بريحك في اختيار المنهجية اللي بتاعة
+
+140
+00:13:59,630 --> 00:14:08,110
+الحل السؤال السؤال بيسألك هل المثلث اللي عندك قائم
+
+141
+00:14:08,110 --> 00:14:11,970
+ازاية اذا
+
+142
+00:14:11,970 --> 00:14:19,250
+جالك اههتهريحك كتير ولا لا؟ ممتاز هل في أي زاوية
+
+143
+00:14:19,250 --> 00:14:22,930
+مُعطَا عندك؟ لمجلة قائمة الزاوية يعني في عندك
+
+144
+00:14:22,930 --> 00:14:28,550
+زاوية قيمتها 90 وبسألك هل في المُثلث في أي زاوية
+
+145
+00:14:28,550 --> 00:14:32,410
+تانية مُعطَا؟ بسألكاش عن الزاوية 90 الآن بسألك عن
+
+146
+00:14:32,410 --> 00:14:36,110
+أي زاوية تانية إذا أه مباشرة بقولك روح استخدم ايش
+
+147
+00:14:36,110 --> 00:14:43,200
+ال ratios استخدم ال sign تساوي الhypotenuse علىالـ
+
+148
+00:14:43,200 --> 00:14:46,440
+opposite على الهالبوتنياس استخدم ال ratios لو
+
+149
+00:14:46,440 --> 00:14:51,440
+ماكانش فيه أي زاوية اعتمد على مين؟ اعتمد على ال
+
+150
+00:14:51,440 --> 00:14:55,520
+fifth course يعني انا فعليا ممكن اعطيك اقولك هاي
+
+151
+00:14:55,520 --> 00:15:00,540
+مُثلَف قائم الزاوية و اقولك هات المجهيل اللي فيه
+
+152
+00:15:00,540 --> 00:15:05,310
+بشرط اجي اقولك هنا في عندي انا اتنين و اتنينالان
+
+153
+00:15:05,310 --> 00:15:10,670
+صار كم موقع عندك؟ صار عندك 3 موقعات بالعين وزاوية
+
+154
+00:15:10,670 --> 00:15:14,870
+عشان تقدر تشتغل و تجيب كل شي شوفك تساوي هتقول هذه
+
+155
+00:15:14,870 --> 00:15:20,990
+جدرية تمانية متساوي
+
+156
+00:15:20,990 --> 00:15:25,090
+الساقين يعني زاوية متساوية بدي أجيب زاوية منهم 45
+
+157
+00:15:25,090 --> 00:15:29,390
+لحالة حتى لو ما كتبتش أنت الخمسة وعادي فكرة تشتغل
+
+158
+00:15:29,390 --> 00:15:33,070
+بالقانون إيش هتروح تساوي هتروح تقول الآن الزاوية
+
+159
+00:15:33,070 --> 00:15:42,970
+هذهثيتا مظبوط؟ ايش بيتساوي؟ sign ثيتا يساوي اتنين
+
+160
+00:15:42,970 --> 00:15:50,390
+على جذر التمانية sign inverse لاتنين على جذر
+
+161
+00:15:50,390 --> 00:15:54,250
+التمانية الأصل تقلين الزاوية اتنين على جذر
+
+162
+00:15:54,250 --> 00:16:00,650
+التمانية كده الشباب؟ يعني هذه تساوي اربعة على
+
+163
+00:16:00,650 --> 00:16:01,690
+تمانية تحت الجذر
+
+164
+00:16:05,600 --> 00:16:09,300
+واحد على جذر التنين ايش ازاي اللي تطلع واحد على
+
+165
+00:16:09,300 --> 00:16:16,660
+جذر التنين ال sign تبعتها خمس واربعين واحد على جذر
+
+166
+00:16:16,660 --> 00:16:25,120
+التنين في خمس اللي هي نص نص لأ sign
+
+167
+00:16:25,120 --> 00:16:29,960
+الخمسة واربعين جذر التنين على اتنين اللي هي واحد
+
+168
+00:16:29,960 --> 00:16:37,160
+على جذر التنين مصبوط وبالتالي تساويخمسة واربعين
+
+169
+00:16:37,160 --> 00:16:41,660
+درجة اذا انت كنت مامتبه ان المثلث فعليا متساوي
+
+170
+00:16:41,660 --> 00:16:46,000
+الضلعين فمباشرة تكتب المثلث متساوي الضلعين او
+
+171
+00:16:46,000 --> 00:16:49,800
+متساوي الساقين الضلعين وبالتالي الزاوية مقسومة
+
+172
+00:16:49,800 --> 00:16:53,460
+بالتساوي عندك تسعين ضال عندك تسعين فخمسة واربعين
+
+173
+00:16:53,460 --> 00:16:55,560
+خمسة واربعين تمام
+
+174
+00:17:01,760 --> 00:17:06,180
+لو ايجي اقولك لأ لأ هو مش Triangle مش Right Angled
+
+175
+00:17:06,180 --> 00:17:10,540
+مافيش زاوية قائمة مش زاوية قائمة ايش بدي اسألك؟
+
+176
+00:17:10,540 --> 00:17:15,460
+بقى تسأله ايش موفرلك؟ هل موفرلك Side والزاوية
+
+177
+00:17:15,460 --> 00:17:23,800
+المقابلة إله؟ إذا في المثلث المرسوم موفرك
+
+178
+00:17:23,800 --> 00:17:27,220
+قيمة الزاوية والضلع المقابل اللي إليها
+
+179
+00:17:30,470 --> 00:17:38,770
+أشتغل على ال ratio على ال sign rule وإلا اعتمد على
+
+180
+00:17:38,770 --> 00:17:42,230
+ال cosine rule عشان يبصر هو يوفرلك زوايا و بدك
+
+181
+00:17:42,230 --> 00:17:45,570
+تعتمد عشان تجيب أطوال الأطلاع اللي موجودة عندنا
+
+182
+00:17:45,570 --> 00:17:50,210
+تعالى نشوف نبدأ نطبق شغل عملي الكلام هذا على
+
+183
+00:17:50,210 --> 00:17:52,830
+مجموعة من المسائل اللي جيبناها المثلثات
+
+184
+00:17:55,750 --> 00:18:00,730
+مباشرة تستعجلش شوف الشباب عادة الوقت في الامتحان
+
+185
+00:18:00,730 --> 00:18:05,070
+.. في الامتحان لا هو ضيق جدا بحيث ان حضرة جنابك
+
+186
+00:18:05,070 --> 00:18:10,270
+بدك تصير بس تتجري مع الامتحان ولا هو مفتوح إلى
+
+187
+00:18:10,270 --> 00:18:14,370
+مالة نهاية عشان انت ايش تقعد تفكر لبعد سنة الشغل
+
+188
+00:18:14,370 --> 00:18:18,590
+مديرية في أسئلة مباشرة تقدر تاخد فيها decision لكن
+
+189
+00:18:18,590 --> 00:18:22,730
+دائما اعيطي نفسك دقيقة تتطلع في السؤال و تفهمه
+
+190
+00:18:22,730 --> 00:18:28,350
+كويسصدقني مافي سؤال مطلوب منك تحله في نص دقيقة حتى
+
+191
+00:18:28,350 --> 00:18:31,730
+الصح و غلط او الاختيار من المتعدد بنكون تركين احنا
+
+192
+00:18:31,730 --> 00:18:37,810
+كل واحد منهم دقيقة تحله فعشان ايه بدك تتراوح الآن
+
+193
+00:18:37,810 --> 00:18:41,930
+المثلث هذا بقول هات ال missing ايش ال missing اللي
+
+194
+00:18:41,930 --> 00:18:47,950
+عندك الشباب قيمة ال X و الزاوية الداخلية هيها
+
+195
+00:18:47,950 --> 00:18:55,430
+الزاوية الداخلية كده ايش قيمتهاخلّيني أسميها θيتا
+
+196
+00:18:55,430 --> 00:19:03,610
+تساوي 180 ناقص المجموعة اللي موجودة عندها ستين و
+
+197
+00:19:03,610 --> 00:19:07,690
+تمانين أربعين
+
+198
+00:19:07,690 --> 00:19:12,250
+اذا كان مشكلتك مع الحساب هيطبيت يعني يا صاحبي
+
+199
+00:19:12,250 --> 00:19:20,950
+اربعين درجة تمام خلصنا الآن صار عندى التلات زوايا
+
+200
+00:19:20,950 --> 00:19:28,450
+موجودةالثلاث زوايا موجودة وعندي ضلع تمام؟ مطلوب
+
+201
+00:19:28,450 --> 00:19:33,550
+مني أجيب مين؟ إيه قيمة ال X الآن؟ مباشرة بستخدم ال
+
+202
+00:19:33,550 --> 00:19:40,650
+sign rule بحيث الميشي اللي بدي أشتغل X على sign 80
+
+203
+00:19:40,650 --> 00:19:47,150
+تساوي سبعة على
+
+204
+00:19:47,150 --> 00:19:47,870
+ساين السبتين
+
+205
+00:19:54,730 --> 00:20:04,770
+طيب معناته ال X بدها تساوي سبعة sign ال 80 على
+
+206
+00:20:04,770 --> 00:20:13,230
+sign ال 60 sign ال 60 جديش يا شباب تمام معناته
+
+207
+00:20:13,230 --> 00:20:18,170
+عشان انا بس بده احلها سبعة ضرب sign
+
+208
+00:20:25,730 --> 00:20:30,550
+Sin 60 هو لازم أحط الرقم ماعرفش أستخدم ال
+
+209
+00:20:30,550 --> 00:20:38,230
+calculator صدقا Sin 60 تقسيم لأ
+
+210
+00:20:38,230 --> 00:20:44,050
+المفروض Sin 80 Sin 80
+
+211
+00:20:44,050 --> 00:20:52,490
+تقسيم Sin 60 ضرب 7
+
+212
+00:20:54,710 --> 00:21:00,910
+بطلع قولوا اتضلع سبعة أو تقريء سبعة فاصلة تسعة ستة
+
+213
+00:21:00,910 --> 00:21:03,210
+لو كنت بتقولي تقريبا تمانية أنا ماعندي مشكلة في
+
+214
+00:21:03,210 --> 00:21:11,050
+الموضوع تمام؟ في مشكلة دي بتضلع التالي بعد هيك
+
+215
+00:21:11,050 --> 00:21:15,870
+عادة انا في الامتحان بقولك كده كل البيانات يعني
+
+216
+00:21:15,870 --> 00:21:19,930
+الآن هتلاقيني هتطلع كده نوعيوبقولك هات الميسنج
+
+217
+00:21:19,930 --> 00:21:22,850
+اللي هي الرموز اللي كل بكتر .. بدك تجيب ال Y بقى
+
+218
+00:21:22,850 --> 00:21:27,470
+تجيبها بنفس الطريقة السؤال اللي بيطرح نفسه هل بقدر
+
+219
+00:21:27,470 --> 00:21:34,230
+أستخدم ال cosine rule؟ أه بقدر مافيش مشكلة الآن
+
+220
+00:21:34,230 --> 00:21:39,150
+cosine rule إيش بعتمد؟ أنا بدي قيمة ال X هو بقوللي
+
+221
+00:21:39,150 --> 00:21:47,400
+ال X تربيع حسب ال cosine rule تساويسبعة تربيع زائد
+
+222
+00:21:47,400 --> 00:21:56,300
+ال Y تربيع ناقص اتنين سبعة Y في cosine التمانين بس
+
+223
+00:21:56,300 --> 00:22:01,340
+انا فعليا ماديبتش قيمة ال Y فليش انا اروح اذا كان
+
+224
+00:22:01,340 --> 00:22:05,240
+مش طالب مني قيمة ال Y ليش انا اروح احسبها وعشان
+
+225
+00:22:05,240 --> 00:22:08,700
+استخدمها طب مافي واحد أسهل من واحد تنتين هيدوك حل
+
+226
+00:22:08,700 --> 00:22:13,280
+صح بس في الآخر انت مشيت خطوة الزيادة مالهاش معنى
+
+227
+00:22:20,050 --> 00:22:26,290
+حسب موقعية السؤال اللي بال pitch break السؤال
+
+228
+00:22:26,290 --> 00:22:32,870
+الجايد تعالى
+
+229
+00:22:32,870 --> 00:22:33,230
+نشوف
+
+230
+00:22:36,780 --> 00:22:41,620
+هل هذا قائم الزاوية؟ لأ مش قائم الزاوية مديك زاوية
+
+231
+00:22:41,620 --> 00:22:45,280
+وضلع المقابل إلها؟ أه مديني زاوية وضلع المقابل
+
+232
+00:22:45,280 --> 00:22:51,560
+إلها و بده من مين؟ مين أسهل أستخدم ال cosine ولا
+
+233
+00:22:51,560 --> 00:22:58,560
+أستخدم ال sign؟ sign rule خمسة
+
+234
+00:22:58,560 --> 00:23:07,630
+فاصلة واحد على sign المية تساويتلاتة فاصلة ستة على
+
+235
+00:23:07,630 --> 00:23:13,830
+sign ال B المطلوب هنا مظبوط؟معناته
+
+236
+00:23:13,830 --> 00:23:23,470
+ال sign ال B يساوي تلاتة فاصلة ستة في sign مية على
+
+237
+00:23:23,470 --> 00:23:25,970
+خمسة فاصلة واحد
+
+238
+00:23:35,190 --> 00:23:43,990
+طيب الآن تلاتة حسبتها كويس بس
+
+239
+00:23:43,990 --> 00:23:48,770
+اصبر جديش القيمة تسعة
+
+240
+00:23:48,770 --> 00:23:52,870
+و ستين من مية تسعة
+
+241
+00:23:52,870 --> 00:23:57,630
+و ستين من مية بس المطلوب مين الزاوية مع ما تقول
+
+242
+00:23:57,630 --> 00:24:02,270
+انا بدي sign inverse للقيمة اللي قلتي عندي هنا
+
+243
+00:24:07,870 --> 00:24:13,750
+تلاتة و اربعين فاصلة ستة وبهيك انت بتكون جيبتياش
+
+244
+00:24:13,750 --> 00:24:19,490
+الزاوية وماتنساش اذا كانت الزاوية كلها مطلوبة منك
+
+245
+00:24:19,490 --> 00:24:23,550
+خلاص هفيه زاوية حسبت التانية و التالتة مية و
+
+246
+00:24:23,550 --> 00:24:26,090
+تمانين ناقص المجموع اللي عندك تحصل على الزاوية
+
+247
+00:24:26,090 --> 00:24:30,390
+الموجودة جداش؟
+
+248
+00:24:30,390 --> 00:24:33,430
+هتخلنيش
+
+249
+00:24:33,430 --> 00:24:35,650
+أندم اني بعتمد عليكم في ال calculation اللي أنا
+
+250
+00:24:35,650 --> 00:24:40,010
+صارت فيه عند القراعات مختلفةمن يصدق؟ انا عشان ..
+
+251
+00:24:40,010 --> 00:24:43,570
+عشان ال calculator هو عنده calculator 43.6 عنده
+
+252
+00:24:43,570 --> 00:24:58,610
+طلعت طيب حصل خير اللي بعدها الان
+
+253
+00:24:58,610 --> 00:25:01,750
+بيعطيك ضلعين وبدوا زاوية
+
+254
+00:25:07,000 --> 00:25:11,280
+بال sign طب بدي اجرب حل بال cosine بينفع بينفع
+
+255
+00:25:11,280 --> 00:25:14,860
+cosine
+
+256
+00:25:14,860 --> 00:25:21,640
+ال M يساوي مية
+
+257
+00:25:21,640 --> 00:25:32,700
+زائد اربعة و ستين ناقص ناقصاش اتنين وين اتنين
+
+258
+00:25:36,420 --> 00:25:40,240
+طيب تعالى نتذكر قانون الـ cosine إيش بيقول إيه A
+
+259
+00:25:40,240 --> 00:25:48,060
+تربيع يساوي B تربيع زائد C تربيع ناقص اتنين بي سي
+
+260
+00:25:48,060 --> 00:25:54,080
+كوزاين ال A كوزاين ال A فخلصته و لما جولا متكلن
+
+261
+00:25:54,080 --> 00:25:58,300
+على الضلع على ال cosine معناته صارت في عندي ناقص A
+
+262
+00:25:58,300 --> 00:26:02,560
+تربيع اللي هو الضلع المقابل للزاوية المطلوبة بس
+
+263
+00:26:02,560 --> 00:26:04,360
+أنا المفروض مش لازم أشتغل على هيك
+
+264
+00:26:21,140 --> 00:26:28,540
+هل في عندك مثلث غير قائم الزاوية؟ Do you know a
+
+265
+00:26:28,540 --> 00:26:33,790
+side and its opposite angle؟لو كان yes هل في عندك
+
+266
+00:26:33,790 --> 00:26:37,310
+بلع و زاوية مقابلة إله؟ أه في عندك بلع و زاوية
+
+267
+00:26:37,310 --> 00:26:41,150
+مقابلة إله فمباشرة روح استخدم ال sign rule لأنه
+
+268
+00:26:41,150 --> 00:26:46,350
+هيكون أسهل لك مباشرة بلما في عندك بلع معلوم
+
+269
+00:26:46,350 --> 00:26:52,230
+والزاوية المقابلة تبعته موجودة أسهل لك تستخدم ال
+
+270
+00:26:52,230 --> 00:26:56,690
+sign rule هنا أنا فكرت أستخدم ال cosine rule الآن
+
+271
+00:26:56,690 --> 00:27:00,250
+المفروض إذا افترضت هذه أنا معناته بدي القيمة اللي
+
+272
+00:27:00,250 --> 00:27:05,150
+هيعشان اقدر اطبق قانون في ثغورت لما يكون مربع او
+
+273
+00:27:05,150 --> 00:27:09,010
+قائم مثل قائم الزاوية مش قائم الزاوية كيف تستخدم
+
+274
+00:27:09,010 --> 00:27:13,530
+ثغورت في ثغورت؟ طيب معناه توادة بحي الهش اللي غير
+
+275
+00:27:13,530 --> 00:27:18,530
+مين ال sign عشرة
+
+276
+00:27:18,530 --> 00:27:29,130
+على sign الخمسة وسبعين يساوي تمانية على sign ال M
+
+277
+00:27:29,130 --> 00:27:36,780
+معنى to sign ال Mيساوي تمانية مضروبة في الـ sign
+
+278
+00:27:36,780 --> 00:27:47,940
+الخمسة و سبعين على عشرة جداش القيمة؟
+
+279
+00:27:47,940 --> 00:27:55,960
+جداش؟
+
+280
+00:27:55,960 --> 00:28:00,400
+يساوي السكر قصة سبعين
+
+281
+00:28:03,570 --> 00:28:13,610
+Sin Inverse لـ 77 Sin
+
+282
+00:28:13,610 --> 00:28:20,830
+Inverse كده؟ 50.6
+
+283
+00:28:20,830 --> 00:28:24,670
+اختلفوا
+
+284
+00:28:24,670 --> 00:28:29,070
+يا فقه براحتكم مافيش مشكلة عندي اللي بعده
+
+285
+00:28:37,790 --> 00:28:50,610
+هو جايب يقول يبدل بيه منك على ال sign خلاص فهمت اه
+
+286
+00:28:50,610 --> 00:28:55,410
+الان الان لو انا اجيت
+
+287
+00:29:07,560 --> 00:29:18,020
+مافيش مشكلة طيب هذه على ال sign انسوه
+
+288
+00:29:18,020 --> 00:29:19,820
+حرين
+
+289
+00:29:42,690 --> 00:29:48,270
+ماشي الحال ايش
+
+290
+00:29:48,270 --> 00:29:54,950
+انا بيعطيك؟ بيعطيك زاويتين وضلعتشتغل على ال sign
+
+291
+00:29:54,950 --> 00:29:58,890
+اشتغل على ال sign مافيش مشكلة بس فيه أسهل انا جاهز
+
+292
+00:29:58,890 --> 00:30:03,050
+بقولك ان المثلث قائم الزاوية و مطلوب منك تدلع هذا
+
+293
+00:30:03,050 --> 00:30:09,550
+هي ال water تقدر تجيب الدلع اللي بعده كيب ده قلبك
+
+294
+00:30:09,550 --> 00:30:14,910
+فيه ثغرص كمان جيبت الزاوية مافيش مشكلة تسعين مية و
+
+295
+00:30:14,910 --> 00:30:21,010
+تمانين ناقص تسعين خمسة زي سبعة و خمسينيعني انت باك
+
+296
+00:30:21,010 --> 00:30:26,910
+تجيب .. اه؟ هو بده why؟
+
+297
+00:30:26,910 --> 00:30:32,530
+طيب يعني الان انت قاعد يقول انه ساعدي مستخدم في
+
+298
+00:30:32,530 --> 00:30:38,270
+ثغورس في ثغورس .. في ثغورس عشان اجيب اطول اطول
+
+299
+00:30:38,270 --> 00:30:43,270
+اللي اطلع تمام؟ دلع .. دلالة الدلعين التانيات بس
+
+300
+00:30:43,270 --> 00:30:46,150
+الدلع التاني انا مش .. انا في عند الدلعين مجهولات
+
+301
+00:30:46,150 --> 00:30:49,650
+فأسهل ايه اللي هيستخدم منه؟ ال sign roll
+
+302
+00:30:53,630 --> 00:31:02,130
+طيب ..الان يا شباب في اي مشكلة في الشرطر؟ تمام شوف
+
+303
+00:31:02,130 --> 00:31:09,450
+..الان
+
+304
+00:31:09,450 --> 00:31:13,870
+في قانون الجامع و قانون الضرب في الزاوية بس في
+
+305
+00:31:13,870 --> 00:31:17,990
+عندى مشكلة اخر لكن انا موجود عند ال .. ال bar ال
+
+306
+00:31:17,990 --> 00:31:19,430
+PDF sign
+
+307
+00:31:27,970 --> 00:31:37,890
+Sin A زائد B ايش
+
+308
+00:31:37,890 --> 00:31:51,810
+يساوي؟ Sin A Cos B زائد أو ناقص Cos A في Sin B ايش
+
+309
+00:31:51,810 --> 00:31:52,910
+في صعب هذا القانون؟
+
+310
+00:31:56,580 --> 00:32:04,020
+طيب و اللي وراها؟ cosine ال A زائد أو ناقص cosine
+
+311
+00:32:04,020 --> 00:32:12,460
+ال B يساوي cosine ال A cosine ال B ناقص أو زائد
+
+312
+00:32:12,460 --> 00:32:20,200
+sine ال A في sine ال B ايش
+
+313
+00:32:20,200 --> 00:32:27,410
+افراج؟ بس عكس الإشارةcos cos تطرح منها ال sign
+
+314
+00:32:27,410 --> 00:32:35,210
+مصبوط؟ طيب ايش ممكن يجي السؤال زي هيك؟
+
+315
+00:32:35,210 --> 00:32:42,330
+او روح اقولك هتلي مجموع الزاوية هاي او روح اقولك
+
+316
+00:32:42,330 --> 00:32:48,010
+هتلي sign الخمسين زائد تلاتين
+
+317
+00:32:53,390 --> 00:32:55,910
+طب ماروح بجمعهم بعد تمانين و بحاول بجيب ال sign
+
+318
+00:32:55,910 --> 00:33:02,330
+التمانين مبسوط ولا لأ؟ لكن لو انا قلتلك .. ايوة ..
+
+319
+00:33:02,330 --> 00:33:07,910
+لو ايجا جالك مثلا
+
+320
+00:33:07,910 --> 00:33:14,950
+جالك ال sign تساوي ال value هذه V بغض النظر إيش
+
+321
+00:33:14,950 --> 00:33:21,350
+كانت ال V إيش بك تساوي؟ ال sign
+
+322
+00:33:21,350 --> 00:33:28,210
+inverse لل Vيساوي خمسين زاد الثيتا، مصبوط؟ هاي
+
+323
+00:33:28,210 --> 00:33:33,190
+الحل المفروض يكون ثيتا
+
+324
+00:33:33,190 --> 00:33:45,910
+تساوي خمسين ماقص sign inverse لل V sign
+
+325
+00:33:45,910 --> 00:33:52,010
+inverse كيف يا صاحبي؟ كيف؟ انت الآن
+
+326
+00:34:00,290 --> 00:34:10,030
+Sin inverse ل V ناقص الخمسين مظبوط كلامه أنا
+
+327
+00:34:10,030 --> 00:34:13,610
+ماانتبهتش لما نجلتش .. لما نجلت الإشارة ماغيرتش
+
+328
+00:34:13,610 --> 00:34:17,370
+إشارة الثيتا لما نجلت ال .. ماغيرتش إشارة الثيتا
+
+329
+00:34:17,370 --> 00:34:22,090
+لأ الأصل إشارة الثيتا تتغير وبالتالي Sin inverse ل
+
+330
+00:34:22,090 --> 00:34:24,530
+V ناقص الخمسين
+
+331
+00:34:28,380 --> 00:34:33,400
+الان دلنا اللي هو القانون او القوانين تبع التان
+
+332
+00:34:33,400 --> 00:34:39,340
+التان الزاوية
+
+333
+00:34:39,340 --> 00:34:45,900
+a زائد او ماقص b ايش تساوي؟
+
+334
+00:34:45,900 --> 00:34:49,060
+ايش تساوي؟
+
+335
+00:34:50,900 --> 00:35:02,000
+tan الـ A زائد أو ناقص tan ال B على واحد ناقص أو
+
+336
+00:35:02,000 --> 00:35:12,480
+زائد tan A في tan ال B وهذا القانون كمان مافيش فيه
+
+337
+00:35:12,480 --> 00:35:19,330
+مشكلة بس بدك تنتبه لعكس الإشارة في المقامبقى
+
+338
+00:35:19,330 --> 00:35:24,690
+القانون الأخير اللى اتكلمنا فيه على المحيط المثلث
+
+339
+00:35:24,690 --> 00:35:34,010
+ال S قولنا
+
+340
+00:35:34,010 --> 00:35:41,690
+لك ال S تساوي نص A زائد B زائد C وجينا قولنا sign
+
+341
+00:35:41,690 --> 00:35:47,990
+ال A على 2 تساوي الجدر التربيعى
+
+342
+00:35:50,310 --> 00:36:03,650
+S ناقص B مضروبة في S ناقص C على BC والقوانين دي
+
+343
+00:36:03,650 --> 00:36:08,650
+سهلة انك تحفظها لان اذا انت عرفت الدلع بدك تستخني
+
+344
+00:36:08,650 --> 00:36:12,430
+او عرفت الزاوية بدك تستخني الزاوية المقابلة لان
+
+345
+00:36:12,430 --> 00:36:16,210
+هذه الزاوية استثنت الدلع المقابل واعتمدت فقط على
+
+346
+00:36:16,210 --> 00:36:23,530
+قط العين بعد ما قال بي نفس الكلامSin بي على اتنين
+
+347
+00:36:23,530 --> 00:36:31,410
+تساوي الجدر التربيعي ل S ناقص A في S ناقص C على AC
+
+348
+00:36:31,410 --> 00:36:36,310
+هو القانون نفسه بس ماتكرر مش على التلت أطلاع و
+
+349
+00:36:36,310 --> 00:36:41,550
+التلت زوايا اللي موجودة تطبيقه .. تطبيقه مهم جدا
+
+350
+00:36:41,550 --> 00:36:46,490
+إذا بديك أطلاع بديك الأطلاع و مابديكاش ولا زوايا
+
+351
+00:36:46,490 --> 00:36:52,290
+في الداخلأه لما اجيديك الآن شوف احنا قولنا سابق
+
+352
+00:36:52,290 --> 00:36:56,130
+المحاضرة الماضية مستحيل تحل أي سؤال بمعطين فقط
+
+353
+00:36:56,130 --> 00:36:59,390
+مستحيل لكن لو انا اديتك تلاتة اجيت قولتلك هاي
+
+354
+00:36:59,390 --> 00:37:04,410
+المثلث هذا واحد وهذا اتنين وهذا تلاتة هاتلي
+
+355
+00:37:04,410 --> 00:37:09,630
+الزوايا الداخلية للمثلث هذا
+
+356
+00:37:09,630 --> 00:37:14,410
+الطريقة اللي بتخدمكفي الموضوع لإيش؟ لأن المحيط
+
+357
+00:37:14,410 --> 00:37:20,470
+موجود وكل شغلهان على الأطلع إذا جبت ال sign تبعت
+
+358
+00:37:20,470 --> 00:37:24,110
+نص ال a بجيب ال sign inverse بتاعتها و بضغط في
+
+359
+00:37:24,110 --> 00:37:26,470
+اتنين بجيب على الزاوية الأولى و بجيب على الزاوية
+
+360
+00:37:26,470 --> 00:37:30,630
+التانية و التالتة هي استخدام القانون الأخير اللي
+
+361
+00:37:30,630 --> 00:37:34,390
+كان موجود عندها بس هي تعلم حلو مع بعض
+
+362
+00:37:38,620 --> 00:37:44,960
+هذه المثالة واحد عندي مثلث ومطلوب مني اجيب ثيتا
+
+363
+00:37:44,960 --> 00:37:54,400
+وبيتا والفة الزوايا التلاتة ان شاءت تسميهم A او B
+
+364
+00:37:54,400 --> 00:37:59,700
+مش قوية كتير يعني نيجي الان المحيط كده طوله الشباب
+
+365
+00:37:59,700 --> 00:38:05,440
+او قص اشغبتها نص واحد زائد اتنين زائد تلاتة نص
+
+366
+00:38:05,440 --> 00:38:16,040
+الستةأصلا تساوي تلاتة معناته الآن sin θ على اتنين
+
+367
+00:38:16,040 --> 00:38:22,680
+تساوي الجذر الترديعي لأ تلاتة ناقص الآن هاي ال θ
+
+368
+00:38:22,680 --> 00:38:26,000
+تبقى تستخدمين الدلع المقابل لها تبقى تعتمد على
+
+369
+00:38:26,000 --> 00:38:31,660
+مين؟ على دلعين المجورين تلاتة ناقص واحد في تلاتة
+
+370
+00:38:31,660 --> 00:38:34,160
+ناقص تلاتة
+
+371
+00:38:35,720 --> 00:38:45,500
+على واحد في تلاتة بيكون صفر sign ال theta صفر sign
+
+372
+00:38:45,500 --> 00:38:48,760
+inverse
+
+373
+00:38:48,760 --> 00:38:57,300
+للصفر يساوي تسعين تسعين درجة اللي هي بدأت تساوي
+
+374
+00:38:57,300 --> 00:39:02,460
+theta على اتنين يعني theta تساوي خمسة واربعين درجة
+
+375
+00:39:03,410 --> 00:39:10,550
+ما .. كدهش؟ مية و تمانين؟ sign الصفر كده الشباب
+
+376
+00:39:10,550 --> 00:39:18,550
+اللي برد عليكوا طيب طيب
+
+377
+00:39:18,550 --> 00:39:23,290
+ارجعلي بما بقى مش للقانون مين بيطلب على ال slide
+
+378
+00:39:23,290 --> 00:39:27,190
+ديني ال slide اللي معاك بس القانون صح اللي كتبناه
+
+379
+00:39:27,190 --> 00:39:31,690
+على اللوح اه صح مافيش مشكلة طيب
+
+380
+00:39:36,730 --> 00:39:44,570
+ثيتا بدجاه للضلع واحد تلاتة نص تلاتة ناقص واحد في
+
+381
+00:39:44,570 --> 00:39:50,670
+صفر صفر اتصرت صفر sign inverse sign
+
+382
+00:39:50,670 --> 00:39:56,290
+inverse للصفر ال sign التسعيق ال sign التسعين
+
+383
+00:39:56,290 --> 00:40:02,250
+الصفر يا أستاذ واحد واحد تسعين
+
+384
+00:40:02,250 --> 00:40:07,620
+ال sign الصفرفيتا على اتنين تت يعني صفر فاش زوايا
+
+385
+00:40:07,620 --> 00:40:14,020
+صفر القياس بالضبط احنا اخدنا ارقام اخدنا ارقام
+
+386
+00:40:14,020 --> 00:40:22,580
+عشوائية اربع تلاتة خمسة طيب خليني اشوف اي مثلث
+
+387
+00:40:22,580 --> 00:40:28,880
+اطلعه مكتملة هذا
+
+388
+00:40:28,880 --> 00:40:36,320
+كله زوايا ستين ستين ستين مية و تمانينشباب شباب
+
+389
+00:40:36,320 --> 00:40:39,980
+شباب الان احنا كمان مرة الأرقام اللي حاطناها هان
+
+390
+00:40:39,980 --> 00:40:47,500
+أرقام عشوائية تمام و بالتالي لربما قياسات الأدلاع
+
+391
+00:40:47,500 --> 00:40:50,900
+مش صحيحة في توزيعة الزوايا اللي موجودة عندي هان
+
+392
+00:40:50,900 --> 00:40:55,780
+طيب لحظة
+
+393
+00:40:55,780 --> 00:41:00,220
+شوية اصبر اصبر شوية لو انا افترضت ان المثلث هذا
+
+394
+00:41:00,220 --> 00:41:08,800
+قائم الزاوية هذا اتنينأربعة تربيع وهذا تسعة اربعة
+
+395
+00:41:08,800 --> 00:41:20,400
+اربعة و ستة جذر الاشرين بصبوط خلينا
+
+396
+00:41:20,400 --> 00:41:24,820
+هان المثلث
+
+397
+00:41:24,820 --> 00:41:30,360
+اللي عندنا الآن هيو انسالي ان الزاوية دي قائمة و
+
+398
+00:41:30,360 --> 00:41:36,870
+قاعد بقولك هات ليهالزاوية اللي موجودة او هات لقيمة
+
+399
+00:41:36,870 --> 00:41:43,690
+الزاوية هاي فيتا الان
+
+400
+00:41:43,690 --> 00:41:55,630
+ال S بدها تساوي نص جذر العشرين زائد اتنين زائد
+
+401
+00:41:55,630 --> 00:42:01,530
+اربعة جذر العشرين تقريبا جدش الشباب اربعة فاصلة
+
+402
+00:42:02,630 --> 00:42:12,270
+الكالكولاتر استخدم الكالكولاتر ايش انا اربعة و ستة
+
+403
+00:42:12,270 --> 00:42:14,790
+عشر عشرين جذر العشرين على انه مُثَلَف قائم الزمن
+
+404
+00:42:14,790 --> 00:42:21,890
+بس انا اتنين و فاصلة خمسة الان بده ثيتا
+
+405
+00:42:27,040 --> 00:42:31,200
+مال معاك الكلكوليتر؟ اديه الكلكوليتر؟ لأ لأ اديه
+
+406
+00:42:31,200 --> 00:42:38,140
+الكلكوليتر؟ حفظ الكلكوليتر جدر
+
+407
+00:42:38,140 --> 00:42:48,380
+ال 20 ايش يمسووا فيها الكلكوليتر تبعتك انت؟
+
+408
+00:42:48,380 --> 00:42:59,620
+تلاتة اربعة خمسة تلاتة اربعةخمسة و عشرين حاضر اريح
+
+409
+00:42:59,620 --> 00:43:03,280
+نص
+
+410
+00:43:03,280 --> 00:43:06,320
+تلاتة
+
+411
+00:43:06,320 --> 00:43:12,380
+زاد اربعة زاد خمسة تسعة و اتناشر تسعة و اتنين ..
+
+412
+00:43:12,380 --> 00:43:14,120
+ستة
+
+413
+00:43:16,980 --> 00:43:24,580
+بتعرفش تحسب انت؟ خمسة زائد أربعة و تلاتة برجع
+
+414
+00:43:24,580 --> 00:43:30,020
+بقولك الحج عليا sin
+
+415
+00:43:30,020 --> 00:43:41,580
+inverse لثيتا على اتنين بتتساوي ستة ناقص خمسة
+
+416
+00:43:41,580 --> 00:43:49,970
+مضروبة في ستة ناقص أربعة علىخمسة في أربعة sign
+
+417
+00:43:49,970 --> 00:44:06,430
+sign sign ساوي واحد في اتنين على جذر العشرين واحد
+
+418
+00:44:06,430 --> 00:44:07,290
+على جذر العشرة
+
+419
+00:44:15,330 --> 00:44:22,350
+الان sin inverse للواحد على جذر العشرة بيبقى تساوي
+
+420
+00:44:22,350 --> 00:44:32,510
+θ على اتنين واحد
+
+421
+00:44:32,510 --> 00:44:39,850
+تقسيم جذر العشرة shift
+
+422
+00:44:47,230 --> 00:44:54,970
+الـ sign inverse على واحد تقسيم على جدر العشرة
+
+423
+00:44:54,970 --> 00:44:59,170
+error
+
+424
+00:44:59,170 --> 00:45:08,450
+جداش؟ تمانتعاش تساوي
+
+425
+00:45:08,450 --> 00:45:16,200
+تمانتعاش فاصلة أربعةمعنى ثيتا بتتساوي سبتة و
+
+426
+00:45:16,200 --> 00:45:21,520
+تلاتين فاصلة تمانية هذه الزاوية الأولى الزاوية
+
+427
+00:45:21,520 --> 00:45:25,860
+التانية الفة
+
+428
+00:45:25,860 --> 00:45:29,740
+صار في عند المقابل تبعها موجود أسهل لي بروح بعتمد
+
+429
+00:45:29,740 --> 00:45:36,980
+ايش؟ اعتمد على ال sign تلاتة على ال sign السبتة و
+
+430
+00:45:36,980 --> 00:45:40,640
+تلاتين فاصلة تمانية تساوي
+
+431
+00:45:43,500 --> 00:45:49,420
+ليش خمسة؟ اربعة اربعة على sign ال alpha اربعة على
+
+432
+00:45:49,420 --> 00:45:55,480
+sign ال alpha بعد هيك خلاص صار عندك قانون ال sign
+
+433
+00:45:55,480 --> 00:45:58,720
+بتكمل في القيم الموجودة عندك انا كانت مشكلتي ان
+
+434
+00:45:58,720 --> 00:46:00,980
+انا دورت على calculator كان ماعتمدش على اي واحد
+
+435
+00:46:00,980 --> 00:46:07,720
+يحلل ليه يقعد يعتمد على ال calculator نص
+
+436
+00:46:07,720 --> 00:46:11,160
+المحيط نص محيط هي
+
+437
+00:46:14,250 --> 00:46:29,030
+نص محيط المثلث مجموع أطلعه S محيط
+
+438
+00:46:29,030 --> 00:46:33,530
+المثلث هو عبارة عن مجموع أطلعه ال area تبعته
+
+439
+00:46:33,530 --> 00:46:40,850
+مساحته تساوي نص القاعدة ال base مضروبة في ال
+
+440
+00:46:40,850 --> 00:46:41,230
+height
+
+441
+00:46:44,610 --> 00:46:56,290
+الارتفاع أربعة نص في أربعة في تلاتة ستة المحيط كان
+
+442
+00:46:56,290 --> 00:47:03,710
+يساوي عشر في فرق بين المساحة وبين
+
+443
+00:47:03,710 --> 00:47:08,950
+طول الأضلاع السور تبع المتلث اللي موجود عندى هنا
+
+444
+00:47:10,070 --> 00:47:14,410
+ماشي الحالة شباب هيك الشابتر المفروض يكون انتهى و
+
+445
+00:47:14,410 --> 00:47:20,810
+.. يعني ادينا اسئلة كمان بزيادة ال .. ايش اليوم؟
+
+446
+00:47:20,810 --> 00:47:29,030
+تلاتة يوم الخنيس تمام؟ الساعة .. بعد الساعة اتناشر
+
+447
+00:47:29,030 --> 00:47:34,620
+الظهر هينفتحك و ازئلك على ال modelبنفتح quiz عندك
+
+448
+00:47:34,620 --> 00:47:39,500
+على ال model تحلله لوحدك وانت جاعد لحالك تمام؟
+
+449
+00:47:39,500 --> 00:47:44,660
+هينفتح عندك quiz تمام؟ مدته خمس دقائق اتجاوب على
+
+450
+00:47:44,660 --> 00:47:49,920
+الأسئلة زي ما ال quiz موجود اللي قعدت كله عارف
+
+451
+00:47:49,920 --> 00:47:50,280
+الشباب
+
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/lJTZll67uWI_raw.json b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/lJTZll67uWI_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..84cc9c0ba7d4fa0a3333803094cd6672f4ccd3a0
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/lJTZll67uWI_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2920, "start": 21.32, "end": 29.2, "text": "بسم الله والحمد لله والصلاة والسلام على رسول الله أهلا وسهلا بكم يا شباب بعد انقطاع طويل صحيح اسبوعين تقريبا فترة الامتحانات", "tokens": [3555, 38251, 21984, 16070, 35571, 3215, 24976, 3224, 16070, 9381, 15040, 3660, 16070, 3794, 37440, 15844, 12602, 3794, 12610, 21984, 5551, 3224, 15040, 46952, 3224, 15040, 4724, 24793, 35186, 13412, 3555, 16758, 39182, 16472, 47432, 45761, 23032, 2407, 26895, 20328, 5016, 1829, 5016, 24525, 3555, 45367, 9957, 6055, 4587, 16572, 3555, 995, 6156, 2655, 25720, 2423, 10943, 2655, 5016, 7649, 9307], "avg_logprob": -0.15662801890603958, "compression_ratio": 1.644927536231884, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 21.32, "end": 21.9, "word": "بسم", "probability": 0.5888671875}, {"start": 21.9, "end": 22.0, "word": " الله", "probability": 0.96533203125}, {"start": 22.0, "end": 22.26, "word": " والحمد", "probability": 0.8653971354166666}, {"start": 22.26, "end": 22.38, "word": " لله", "probability": 0.958251953125}, {"start": 22.38, "end": 22.66, "word": " والصلاة", "probability": 0.8585205078125}, {"start": 22.66, "end": 22.96, "word": " والسلام", "probability": 0.9698893229166666}, {"start": 22.96, "end": 23.08, "word": " على", "probability": 0.419677734375}, {"start": 23.08, "end": 23.38, "word": " رسول", "probability": 0.9869791666666666}, {"start": 23.38, "end": 23.62, "word": " الله", "probability": 0.951171875}, {"start": 23.62, "end": 24.64, "word": " أهلا", "probability": 0.8536783854166666}, {"start": 24.64, "end": 24.86, "word": " وسهلا", "probability": 0.8470052083333334}, {"start": 24.86, "end": 25.06, "word": " بكم", "probability": 0.69091796875}, {"start": 25.06, "end": 25.18, "word": " يا", "probability": 0.76220703125}, {"start": 25.18, "end": 25.46, "word": " شباب", "probability": 0.9879557291666666}, {"start": 25.46, "end": 25.7, "word": " بعد", "probability": 0.7109375}, {"start": 25.7, "end": 26.12, "word": " انقطاع", "probability": 0.91357421875}, {"start": 26.12, "end": 26.44, "word": " طويل", "probability": 0.8447265625}, {"start": 26.44, "end": 26.78, "word": " صحيح", "probability": 0.773681640625}, {"start": 26.78, "end": 27.22, "word": " اسبوعين", "probability": 0.81036376953125}, {"start": 27.22, "end": 27.84, "word": " تقريبا", "probability": 0.9890625}, {"start": 27.84, "end": 28.5, "word": " فترة", "probability": 0.9679361979166666}, {"start": 28.5, "end": 29.2, "word": " الامتحانات", "probability": 0.9632975260416666}], "temperature": 1.0}, {"id": 2, "seek": 5779, "start": 30.83, "end": 57.79, "text": "و المابعدها اليوم ان شاء الله تعالى هنبدأ ب chapter جديد اللي هو chapter ال vectors و ال vectors اللي هو تطبيقات مهمة في ال computer graphics سواء لما انا بتكلم على شدة الإضاءة على السطح معين السطح هذا بده يبين للكاميرا أو بدهش يبين لو كنت بتشتغل animation فهنشوف بعض التطبيقات المهمة على ال vector لكن في البداية لازم نمر كالعادة لأنه مادة رياضيات هنراجح بعض المفاهيم او نطلع نتعرف 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"end": 2735.77, "word": " واتنين", "probability": 0.8720703125}, {"start": 2735.77, "end": 2736.99, "word": " وتلاتة", "probability": 0.88271484375}, {"start": 2736.99, "end": 2738.33, "word": " كمجموعة", "probability": 0.932861328125}], "temperature": 1.0}, {"id": 105, "seek": 276698, "start": 2739.44, "end": 2766.98, "text": "بنفع تنفذها العملية هذه؟ لأ مع ال sets أو مع المجموعات مافيش شغل يسمها الجمع في عندي union وفي عندي intersection وفي عندي difference هذه عملية المجموعات وبالتالي هنا في عندي مجموعة وفي عندي scalar بيلتجوش مع بعض كذلك هنا في عندي vector وفي عندي scalar مافيش مجال أجمعهم لبعض أديك مثال ثاني", "tokens": [3555, 1863, 5172, 3615, 6055, 1863, 5172, 8848, 11296, 18863, 42213, 10632, 29538, 22807, 5296, 10721, 20449, 2423, 6352, 34051, 20449, 9673, 7435, 2304, 45367, 9307, 19446, 41185, 8592, 13412, 17082, 1211, 7251, 38251, 11296, 25724, 2304, 3615, 8978, 18871, 16254, 11671, 4032, 41185, 18871, 16254, 15236, 4032, 41185, 18871, 16254, 2649, 29538, 6225, 42213, 10632, 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"probability": 0.9069010416666666}, {"start": 2768.89, "end": 2769.45, "word": " ناخد", "probability": 0.9523111979166666}, {"start": 2769.45, "end": 2771.07, "word": " اتنين", "probability": 0.83673095703125}, {"start": 2771.07, "end": 2773.53, "word": " و", "probability": 0.732421875}, {"start": 2773.53, "end": 2773.83, "word": " اروح", "probability": 0.7493489583333334}, {"start": 2773.83, "end": 2774.05, "word": " بدي", "probability": 0.566650390625}, {"start": 2774.05, "end": 2774.41, "word": " اجمع", "probability": 0.9368896484375}, {"start": 2774.41, "end": 2775.05, "word": " حالة", "probability": 0.9680989583333334}, {"start": 2775.05, "end": 2776.59, "word": " I", "probability": 0.64404296875}, {"start": 2776.59, "end": 2779.33, "word": " قيمة", "probability": 0.8544921875}, {"start": 2779.33, "end": 2780.07, "word": " تخيلية", "probability": 0.9283447265625}, {"start": 2780.07, "end": 2780.81, "word": " مسموح", "probability": 0.840087890625}, {"start": 2780.81, "end": 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" لأ؟", "probability": 0.81201171875}], "temperature": 1.0}, {"id": 107, "seek": 281344, "start": 2785.98, "end": 2813.44, "text": "بس مستحيل أروح أجمعها و أحصل على real number لأنه كان الناتج شغلة مش مازالة قيمة مركبة قيمة تخيلية بتقدر تجمعها لكن مابتقدر تدمجها في داخل القيمة التخيلية و نفس الكلام هنا الان الجمع هذه مابي هتتوزع على عناصر ال vector اللي موجود عندى بين جثين اتضارت ب scalar مسموح و جمع scalar لل vector مرفوض غير مسموح", "tokens": [3555, 3794, 3714, 14851, 5016, 26895, 5551, 32887, 5016, 5551, 7435, 2304, 3615, 11296, 4032, 5551, 5016, 36520, 15844, 957, 1230, 5296, 33456, 3224, 25961, 28239, 9307, 7435, 13412, 17082, 37977, 37893, 3714, 31377, 6027, 3660, 12174, 32640, 3660, 3714, 31747, 49401, 12174, 32640, 3660, 6055, 9778, 26895, 10632, 39894, 28543, 2288, 6055, 7435, 2304, 3615, 11296, 44381, 3714, 16758, 2655, 28543, 2288, 6055, 40448, 7435, 11296, 8978, 11778, 47283, 1211, 25062, 32640, 3660, 16712, 9778, 26895, 10632, 4032, 8717, 36178, 2423, 28820, 10943, 34105, 2423, 7649, 25724, 2304, 3615, 29538, 3714, 16758, 1829, 8032, 2655, 2655, 2407, 11622, 3615, 15844, 18871, 33546, 2288, 2423, 8062, 13672, 1829, 3714, 29245, 23328, 43242, 7578, 49374, 10874, 12984, 9957, 1975, 2655, 11242, 9640, 2655, 4724, 39684, 3714, 38251, 2407, 5016, 4032, 10874, 2304, 3615, 39684, 24976, 8062, 3714, 28480, 2407, 11242, 32771, 13546, 3714, 38251, 2407, 5016], "avg_logprob": -0.19424229605148916, "compression_ratio": 1.8731884057971016, "no_speech_prob": 0.0, "words": [{"start": 2785.98, "end": 2786.28, "word": "بس", "probability": 0.873779296875}, {"start": 2786.28, "end": 2787.04, "word": " مستحيل", "probability": 0.9803466796875}, {"start": 2787.04, "end": 2788.02, "word": " أروح", "probability": 0.5516764322916666}, {"start": 2788.02, "end": 2788.44, "word": " أجمعها", "probability": 0.87958984375}, {"start": 2788.44, "end": 2788.54, "word": " و", "probability": 0.8154296875}, {"start": 2788.54, "end": 2788.78, "word": " أحصل", "probability": 0.9464518229166666}, {"start": 2788.78, "end": 2788.94, "word": " على", "probability": 0.81982421875}, {"start": 2788.94, "end": 2789.14, "word": " real", "probability": 0.46826171875}, {"start": 2789.14, "end": 2789.58, "word": " number", "probability": 0.9794921875}, {"start": 2789.58, "end": 2790.44, "word": " لأنه", "probability": 0.6998697916666666}, {"start": 2790.44, "end": 2790.58, "word": " كان", "probability": 0.98583984375}, {"start": 2790.58, "end": 2791.24, "word": " الناتج", "probability": 0.8655598958333334}, {"start": 2791.24, "end": 2792.44, "word": " شغلة", "probability": 0.6747233072916666}, {"start": 2792.44, "end": 2792.66, "word": " مش", "probability": 0.345458984375}, {"start": 2792.66, "end": 2793.04, "word": " مازالة", "probability": 0.89306640625}, {"start": 2793.04, "end": 2793.54, "word": " قيمة", "probability": 0.9830729166666666}, {"start": 2793.54, "end": 2794.24, "word": " مركبة", "probability": 0.87939453125}, {"start": 2794.24, "end": 2794.54, "word": " قيمة", "probability": 0.830078125}, {"start": 2794.54, "end": 2795.12, "word": " تخيلية", "probability": 0.8931884765625}, {"start": 2795.12, "end": 2796.12, "word": " بتقدر", "probability": 0.8634440104166666}, {"start": 2796.12, "end": 2796.78, "word": " تجمعها", "probability": 0.9935546875}, {"start": 2796.78, "end": 2797.16, "word": " لكن", "probability": 0.90185546875}, {"start": 2797.16, "end": 2797.66, "word": " مابتقدر", "probability": 0.9078125}, {"start": 2797.66, "end": 2798.16, "word": " تدمجها", "probability": 0.878662109375}, {"start": 2798.16, "end": 2798.28, "word": " في", "probability": 0.8427734375}, {"start": 2798.28, "end": 2798.54, "word": " داخل", "probability": 0.85986328125}, {"start": 2798.54, "end": 2798.84, "word": " القيمة", "probability": 0.9431966145833334}, {"start": 2798.84, "end": 2799.28, "word": " التخيلية", "probability": 0.984130859375}, {"start": 2799.28, "end": 2799.66, "word": " و", "probability": 0.83203125}, {"start": 2799.66, "end": 2799.82, "word": " نفس", "probability": 0.954833984375}, {"start": 2799.82, "end": 2800.22, "word": " الكلام", "probability": 0.97802734375}, {"start": 2800.22, "end": 2800.48, "word": " هنا", "probability": 0.962890625}, {"start": 2800.48, "end": 2801.9, "word": " الان", "probability": 0.6695556640625}, {"start": 2801.9, "end": 2802.26, "word": " الجمع", "probability": 0.9278971354166666}, {"start": 2802.26, "end": 2802.48, "word": " هذه", "probability": 0.51708984375}, {"start": 2802.48, "end": 2802.76, "word": " مابي", "probability": 0.6354166666666666}, {"start": 2802.76, "end": 2803.28, "word": " هتتوزع", "probability": 0.8800048828125}, {"start": 2803.28, "end": 2803.48, "word": " على", "probability": 0.89111328125}, {"start": 2803.48, "end": 2804.56, "word": " عناصر", "probability": 0.9923502604166666}, {"start": 2804.56, "end": 2805.46, "word": " ال", "probability": 0.96044921875}, {"start": 2805.46, "end": 2805.8, "word": " vector", "probability": 0.87158203125}, {"start": 2805.8, "end": 2806.14, "word": " اللي", "probability": 0.930908203125}, {"start": 2806.14, "end": 2806.48, "word": " موجود", "probability": 0.9814453125}, {"start": 2806.48, "end": 2806.82, "word": " عندى", "probability": 0.766357421875}, {"start": 2806.82, "end": 2807.42, "word": " بين", "probability": 0.8046875}, {"start": 2807.42, "end": 2807.82, "word": " جثين", "probability": 0.6123046875}, {"start": 2807.82, "end": 2808.44, "word": " اتضارت", "probability": 0.624658203125}, {"start": 2808.44, "end": 2808.56, "word": " ب", "probability": 0.4775390625}, {"start": 2808.56, "end": 2808.92, "word": " scalar", "probability": 0.7783203125}, {"start": 2808.92, "end": 2809.6, "word": " مسموح", "probability": 0.875732421875}, {"start": 2809.6, "end": 2810.16, "word": " و", "probability": 0.546875}, {"start": 2810.16, "end": 2810.42, "word": " جمع", "probability": 0.9710286458333334}, {"start": 2810.42, "end": 2810.82, "word": " scalar", "probability": 0.8740234375}, {"start": 2810.82, "end": 2811.1, "word": " لل", "probability": 0.73876953125}, {"start": 2811.1, "end": 2811.52, "word": " vector", "probability": 0.9638671875}, {"start": 2811.52, "end": 2812.82, "word": " مرفوض", "probability": 0.85369873046875}, {"start": 2812.82, "end": 2813.02, "word": " غير", "probability": 0.9208984375}, {"start": 2813.02, "end": 2813.44, "word": " مسموح", "probability": 0.935302734375}], "temperature": 1.0}, {"id": 108, "seek": 283338, "start": 2817.9, "end": 2833.38, "text": "وهذا بينعكس عليه اش الطريح والجسمة يعني بتصير القسمة مسموحة اللي هي بنجوسيل اللي عامل مشترك وليها مصبوط و الطريح مرفوضة طيب الله يعطيكوا العافية مافيش مشكلة ان شاء الله تعالى", "tokens": [2407, 3224, 15730, 4724, 1829, 1863, 3615, 4117, 3794, 47356, 1975, 8592, 41950, 16572, 5016, 16070, 7435, 38251, 3660, 37495, 22653, 39894, 9381, 13546, 25062, 38251, 3660, 47524, 2304, 2407, 5016, 3660, 13672, 1829, 39896, 44945, 7435, 41779, 26895, 13672, 1829, 6225, 10943, 1211, 37893, 2655, 31747, 4032, 20292, 11296, 3714, 9381, 3555, 2407, 9566, 4032, 41950, 16572, 5016, 3714, 28480, 2407, 11242, 3660, 23032, 1829, 3555, 21984, 37495, 9566, 1829, 4117, 14407, 18863, 31845, 10632, 19446, 41185, 8592, 37893, 28820, 3660, 16472, 13412, 16606, 21984, 37279, 6027, 7578], "avg_logprob": -0.26770832108126746, "compression_ratio": 1.8488372093023255, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 2817.9, "end": 2818.22, "word": "وهذا", "probability": 0.7737630208333334}, {"start": 2818.22, "end": 2818.72, "word": " بينعكس", "probability": 0.7994791666666666}, {"start": 2818.72, "end": 2818.98, "word": " عليه", "probability": 0.60009765625}, {"start": 2818.98, "end": 2819.24, "word": " اش", "probability": 0.3546142578125}, {"start": 2819.24, "end": 2821.38, "word": " الطريح", "probability": 0.8611653645833334}, {"start": 2821.38, "end": 2822.84, "word": " والجسمة", "probability": 0.833740234375}, {"start": 2822.84, "end": 2823.66, "word": " يعني", "probability": 0.7421875}, {"start": 2823.66, "end": 2824.0, "word": " بتصير", "probability": 0.9049479166666666}, {"start": 2824.0, "end": 2824.42, "word": " القسمة", "probability": 0.9557291666666666}, {"start": 2824.42, "end": 2825.18, "word": " مسموحة", "probability": 0.870849609375}, {"start": 2825.18, "end": 2825.74, "word": " اللي", "probability": 0.83642578125}, {"start": 2825.74, "end": 2825.8, "word": " هي", "probability": 0.8876953125}, {"start": 2825.8, "end": 2826.22, "word": " بنجوسيل", "probability": 0.675384521484375}, {"start": 2826.22, "end": 2826.32, "word": " اللي", "probability": 0.7115478515625}, {"start": 2826.32, "end": 2826.68, "word": " عامل", "probability": 0.7529296875}, {"start": 2826.68, "end": 2827.04, "word": " مشترك", "probability": 0.8271484375}, {"start": 2827.04, "end": 2827.46, "word": " وليها", "probability": 0.64453125}, {"start": 2827.46, "end": 2828.58, "word": " مصبوط", "probability": 0.713232421875}, {"start": 2828.58, "end": 2829.18, "word": " و", "probability": 0.7451171875}, {"start": 2829.18, "end": 2829.54, "word": " الطريح", "probability": 0.8230794270833334}, {"start": 2829.54, "end": 2830.06, "word": " مرفوضة", "probability": 0.9259765625}, {"start": 2830.06, "end": 2830.34, "word": " طيب", "probability": 0.9029947916666666}, {"start": 2830.34, "end": 2830.7, "word": " الله", "probability": 0.189697265625}, {"start": 2830.7, "end": 2830.92, "word": " يعطيكوا", "probability": 0.795703125}, {"start": 2830.92, "end": 2831.48, "word": " العافية", "probability": 0.82958984375}, {"start": 2831.48, "end": 2832.48, "word": " مافيش", "probability": 0.8582356770833334}, {"start": 2832.48, "end": 2832.8, "word": " مشكلة", "probability": 0.98291015625}, {"start": 2832.8, "end": 2832.88, "word": " ان", "probability": 0.578125}, {"start": 2832.88, "end": 2833.02, "word": " شاء", "probability": 0.90869140625}, {"start": 2833.02, "end": 2833.06, "word": " الله", "probability": 0.9404296875}, {"start": 2833.06, "end": 2833.38, "word": " تعالى", "probability": 0.9568684895833334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2833.5775, "duration_after_vad": 2681.348749999989}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/lJTZll67uWI_raw.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/lJTZll67uWI_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..04c6daad11cd6606ffcc2eca71705b9bef257500
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/lJTZll67uWI_raw.srt
@@ -0,0 +1,2120 @@
+1
+00:00:21,320 --> 00:00:23,620
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:23,620 --> 00:00:26,780
+أهلا وسهلا بكم يا شباب بعد انقطاع طويل صحيح
+
+3
+00:00:26,780 --> 00:00:32,530
+اسبوعين تقريبا فترة الامتحاناتو المابعدها اليوم ان
+
+4
+00:00:32,530 --> 00:00:34,270
+شاء الله تعالى هنبدأ ب chapter جديد اللي هو
+
+5
+00:00:34,270 --> 00:00:37,690
+chapter ال vectors و ال vectors اللي هو تطبيقات
+
+6
+00:00:37,690 --> 00:00:40,630
+مهمة في ال computer graphics سواء لما انا بتكلم
+
+7
+00:00:40,630 --> 00:00:44,690
+على شدة الإضاءة على السطح معين السطح هذا بده يبين
+
+8
+00:00:44,690 --> 00:00:47,430
+للكاميرا أو بدهش يبين لو كنت بتشتغل animation
+
+9
+00:00:47,430 --> 00:00:50,930
+فهنشوف بعض التطبيقات المهمة على ال vector لكن في
+
+10
+00:00:50,930 --> 00:00:54,350
+البداية لازم نمر كالعادة لأنه مادة رياضيات هنراجح
+
+11
+00:00:54,350 --> 00:00:57,150
+بعض المفاهيم او نطلع نتعرف على بعض المفاهيم اللي
+
+12
+00:00:57,150 --> 00:01:00,780
+لها بال vectorsموضيع ال chapter بشكل عام تتكلم عن
+
+13
+00:01:00,780 --> 00:01:04,880
+ال 2D و ال 3D vectors ال unit vectorsهو متجه
+
+14
+00:01:04,880 --> 00:01:08,160
+الوحدة ال position vector ال vectors اللي بتبدأ
+
+15
+00:01:08,160 --> 00:01:11,340
+دايما من نقطة الصفر ال cartesian vector و ال
+
+16
+00:01:11,340 --> 00:01:14,220
+magnitude اللي هي القيمة المطلقة او المسائل قولي
+
+17
+00:01:14,220 --> 00:01:18,660
+لل vector و كيف لو انا بدي اعمل ال products بين ال
+
+18
+00:01:18,660 --> 00:01:21,580
+vectors و كيف بدي احسب الأشكال او المساحة بتاعة ال
+
+19
+00:01:21,580 --> 00:01:26,880
+surface او الأسطح بناء على ال magnitude أو بناء
+
+20
+00:01:26,880 --> 00:01:33,180
+على ال vectors اللي موجودين عندنا في البداية ال
+
+21
+00:01:33,180 --> 00:01:38,270
+vectorعبارة عن أداة مهمة جدا قوية جدا في موضوع
+
+22
+00:01:38,270 --> 00:01:44,530
+حساب الزوايا بين الخطوط الآن لو أنا جينا اتكلمنا
+
+23
+00:01:44,530 --> 00:01:48,230
+مصدر الضوء اللي موجود في جراسي هان وهي اللوح
+
+24
+00:01:48,230 --> 00:01:53,510
+اعتبره السطح موجود الأشعة المنعكسة عن اللوح هذا
+
+25
+00:01:53,510 --> 00:02:00,650
+وين اتجاهها؟عليك تمام هو فعليا لأن مصدر الضوء هذا
+
+26
+00:02:00,650 --> 00:02:04,130
+واسع معناه تعدد الأشعة اللي ساقطة على اللوحة ده ما
+
+27
+00:02:04,130 --> 00:02:08,930
+بين كل نقبة والتانية هتكون تختلف الزاوية وبالتالي
+
+28
+00:02:08,930 --> 00:02:14,130
+الانعكاس هتكون ضمن زاوية مختلفة بالضبط وبالتالي
+
+29
+00:02:14,830 --> 00:02:19,430
+هتختلف هلما انا باتكلم على حساب الزوايا بين
+
+30
+00:02:19,430 --> 00:02:24,470
+المتجهات او بين الخطوط لانه انا فعليا لما حكينا او
+
+31
+00:02:24,470 --> 00:02:27,330
+تكلمنا عن ال chapter اللي جابني الماضي لما اتكلمنا
+
+32
+00:02:27,330 --> 00:02:32,520
+عن ال 3D object وقلنا بتشكل بمجموعة من المثلثاتas
+
+33
+00:02:32,520 --> 00:02:35,940
+planner مصبوط؟ طيب وقولنا أثناء الحركة أو ال
+
+34
+00:02:35,940 --> 00:02:39,820
+rotation لل object هذا انا بدي اقرر مين بدي يظهر
+
+35
+00:02:39,820 --> 00:02:43,160
+معايا من الأشكال بناء على ايش؟ بناء على ال
+
+36
+00:02:43,160 --> 00:02:45,720
+position تبع الكاميرا و ال position تبع ال object
+
+37
+00:02:45,720 --> 00:02:48,840
+ضروري انا ايش اقدر افهم العناصر اللي موجودة عنديها
+
+38
+00:02:49,120 --> 00:02:53,780
+وهذا الكلام مش مستحيل تقدر تصله إلا لو تقدر تحدد
+
+39
+00:02:53,780 --> 00:02:58,860
+الزاوية اللي بين الشعاع الصاخر من مصدر الضوء أو
+
+40
+00:02:58,860 --> 00:03:01,600
+الشعاع الكاميرا وال surface اللي جاعد أو السطح
+
+41
+00:03:01,600 --> 00:03:04,640
+اللي بتحرك هذا وبناء عليه بده ياخد decision بده
+
+42
+00:03:04,640 --> 00:03:10,300
+يبين او لأ ال vectors هي عبارة عن clear framework
+
+43
+00:03:10,300 --> 00:03:13,160
+نظام واضح للتعامل مع
+
+44
+00:03:16,820 --> 00:03:23,260
+الكرة تتحركعلى سطح معين والكاميرا قاعدة في زاوية
+
+45
+00:03:23,260 --> 00:03:27,180
+واقفة ثابتة في زاوية معينة تختلف تماما على ان
+
+46
+00:03:27,180 --> 00:03:32,120
+الكورة قاعدة بتتحرك والكاميرا كمان بتتحرك باتجاه
+
+47
+00:03:32,120 --> 00:03:35,480
+.. بتجرب من الكورة او بتبعد بتروح باتجاه معاكس
+
+48
+00:03:35,480 --> 00:03:40,220
+لاتجاه الكورة فده كل هالشغلات ما بيحكمها لغير وجود
+
+49
+00:03:40,220 --> 00:03:43,460
+ال vectors يعني بين جثين شباب وين ما بيكون في عندي
+
+50
+00:03:43,460 --> 00:03:47,870
+dynamic objects في ال computer animationالمتجهات
+
+51
+00:03:47,870 --> 00:03:50,630
+لازم تكون حاضرة و احنا ان شاء الله تعالى يعني من
+
+52
+00:03:50,630 --> 00:03:55,090
+خلال الشهر .. خلال المحاضرات القادمة هجيب واحد من
+
+53
+00:03:55,090 --> 00:03:58,030
+الناس اتخرجت من ال multimedia و درسنا رياضيات ..
+
+54
+00:03:58,030 --> 00:04:02,250
+قرياضيات وساطة متعددة و يورجيك بعض التطبيقات
+
+55
+00:04:02,250 --> 00:04:06,030
+العملية استخدم ال Maya ك application و يورجيك بعض
+
+56
+00:04:06,030 --> 00:04:08,630
+التطبيقات للكلام اللي احنا بنقوله بشكل عام في
+
+57
+00:04:08,630 --> 00:04:14,490
+المادة ان شاء الله تعالى طيب بشكل عام يا شباب لما
+
+58
+00:04:14,490 --> 00:04:21,440
+باجي بتكلم اناعلى الأرقام أو الـ numbers بشكل عام
+
+59
+00:04:21,440 --> 00:04:28,400
+بسميها scalars قيمة مطلقة او قيمة بمعنى سميها زي
+
+60
+00:04:28,400 --> 00:04:33,900
+ما بدك و غالبا ال scalar value هذه بتكون
+
+61
+00:04:33,900 --> 00:04:37,380
+associated with unit دايما مرتبطة مع وحدة قياس
+
+62
+00:04:37,380 --> 00:04:43,500
+بنفعش اجي اقول واحد واحد بيعني انت بتتكلم على عدد
+
+63
+00:04:43,500 --> 00:04:44,080
+و لا show record
+
+64
+00:04:48,260 --> 00:04:53,460
+لكن لو انا قلتلك الـ Remote Control تبع ال LCD هذا
+
+65
+00:04:53,460 --> 00:05:02,360
+وزنه نص نص ايش؟ لاحظ ان ال value اللي انا ذكرتها
+
+66
+00:05:02,360 --> 00:05:07,700
+الآن ال value اللي انا ذكرتها مالهاش معنى اذا انا
+
+67
+00:05:07,700 --> 00:05:14,180
+ماحطت ال hash unit وحدة وحدة قياس عشان احدد شو
+
+68
+00:05:14,180 --> 00:05:20,310
+القيمة هذه بتكون لما انا قلت نصهبقصه نص كيلو نص
+
+69
+00:05:20,310 --> 00:05:26,050
+جرام نص رطل او نص bound سميها زي ما بدك في الآخر
+
+70
+00:05:26,050 --> 00:05:32,690
+بدون ال unit بدي اجي اقول فلان قوله الف و خمسمية
+
+71
+00:05:32,690 --> 00:05:43,660
+الف و خمسمية ايش؟كيلو؟ قوله 1500 كيلو قدم صنطي ملي
+
+72
+00:05:43,660 --> 00:05:48,260
+فانت بدك في الآخر لازم تحدد وحدة قياس عشان أقدر
+
+73
+00:05:48,260 --> 00:05:55,200
+افهم ال scalar value اللي موجودة عندها طيب على
+
+74
+00:05:55,200 --> 00:06:01,120
+الهامش اكرمكم الله دائما الحذاب بيقول تلاتة و
+
+75
+00:06:01,120 --> 00:06:06,100
+اربعين واحد و اربعين تمانية و تلاتينوحدث القياس
+
+76
+00:06:06,100 --> 00:06:10,600
+ساعات هجد ايش؟ صنطي يعني اللي الرجل هو اربعين ..
+
+77
+00:06:10,600 --> 00:06:14,920
+اللي تلاته هو اربعين هالجد يعني انش انش لعلمك
+
+78
+00:06:14,920 --> 00:06:21,360
+الانش 2.2 صنطي يعني هالجد صارت ال .. ايوة المواصير
+
+79
+00:06:21,360 --> 00:06:30,220
+ملي لأ اتنين ملي يعني هجد ممرة لأ القياس .. مستخرج
+
+80
+00:06:30,220 --> 00:06:33,360
+من قياس قديم كانوا يعدوه بالجمحة كام جمحة طول
+
+81
+00:06:33,360 --> 00:06:37,950
+الرجلو ارجع دور في الموضوع هذا كم حبة شعيرة أو كم
+
+82
+00:06:37,950 --> 00:06:42,590
+حبة جمح مترصات بالطول هذا فالـ 43 لا هو سانتي ولا
+
+83
+00:06:42,590 --> 00:06:47,450
+هو ملي ولا هو انش بالجمحة طيب anyway
+
+84
+00:06:50,060 --> 00:06:54,440
+وبالتالي عشان أقدر أفهم ال scalar value لازم يكون
+
+85
+00:06:54,440 --> 00:06:59,080
+في عندي unit أقدر أفهمها بشكل صحيح وطبعا ال unit
+
+86
+00:06:59,080 --> 00:07:02,460
+أنا فيه عندي ال metric وفيه عندي ال imperial اللي
+
+87
+00:07:02,460 --> 00:07:04,660
+هي اللي خلنا نقول الوحدة في القياس المعروفة ال
+
+88
+00:07:04,660 --> 00:07:09,560
+metric تمام كيلو جرام لتر كيلومتر سانتمتر إلى آخره
+
+89
+00:07:09,560 --> 00:07:12,200
+بينما أنا فيه عندي في ال imperial أو تحت ال
+
+90
+00:07:12,200 --> 00:07:17,300
+emperor أو تحت المملكة المتحدةبتكلم عن الجلون،
+
+91
+00:07:17,300 --> 00:07:21,100
+بتكلم عن الـBounds، بتكلم عن الميل، في الآخر هي
+
+92
+00:07:21,100 --> 00:07:27,200
+عبارة عن وحدات قياس طيب،
+
+93
+00:07:27,200 --> 00:07:31,480
+لكن مش كل حاجة في الدنيا أو احنا بنقدر نستفيد بدنا
+
+94
+00:07:31,480 --> 00:07:36,140
+إياها تمثل بـscalar valueلحظة لما اتكلمت على
+
+95
+00:07:36,140 --> 00:07:40,120
+scalar اتكلمت على unit القيمة هذه او ال value هذه
+
+96
+00:07:40,120 --> 00:07:44,880
+associated with unit ربطها بوحدة قياس عشان افهم
+
+97
+00:07:44,880 --> 00:07:49,520
+مضمونها لكن تبقى ان في عندي مشكلة تانية ان هذه
+
+98
+00:07:49,520 --> 00:07:55,900
+القيمة الوحيدة ما بتحدد المعنى
+
+99
+00:07:55,900 --> 00:08:00,560
+الكامل بالمجمل خلال الأيام الماضية كان بيقولك انه
+
+100
+00:08:00,560 --> 00:08:07,250
+جاي فيه منخفضتمام؟ بدو يضرب فلسطين .. اه كان
+
+101
+00:08:07,250 --> 00:08:09,490
+بيقولك فيديو من نشرة الأخبار بحدد بيقولك والله و
+
+102
+00:08:09,490 --> 00:08:14,590
+المناطق الساحلية تمام؟ هتكون عرضة أكثر لهقول
+
+103
+00:08:14,590 --> 00:08:17,950
+الأمطار كيف قدرها هاي؟ وكيف جبر يجيب المعلومة هاي؟
+
+104
+00:08:17,950 --> 00:08:23,610
+لإن هو فعليا شاف منطقة المخفض هذه درس قوة الرياح
+
+105
+00:08:24,540 --> 00:08:29,020
+واتجاهها فجدر يقدر بأي منطقة وبعد كام يوم بناء على
+
+106
+00:08:29,020 --> 00:08:32,240
+سرعتها وعلى وزنها اللي بتشكل أو بتزايد ممكن يحطم
+
+107
+00:08:32,240 --> 00:08:36,220
+المطار في اليوم الفلاني وفي المنطقة الفلانية بينجو
+
+108
+00:08:36,220 --> 00:08:39,900
+سين إذا أنا جيت أتكلم على القوة أو الرياح أو
+
+109
+00:08:39,900 --> 00:08:44,660
+الأوزان أو السرعة أو ال sound أو الصوت مابينفعش
+
+110
+00:08:44,660 --> 00:08:49,240
+أجي أتكلم على scalar value لوحدها لازم أحدد
+
+111
+00:08:50,430 --> 00:08:54,310
+direction لازم احدد اتجاهه وبالتالي انا بصير لما
+
+112
+00:08:54,310 --> 00:08:58,150
+بصير اتكلم على scalar value و اتكلم على direction
+
+113
+00:08:58,150 --> 00:09:03,550
+طبعا ماعندي بصير اتكلم على قيمتين scalar عشان ادي
+
+114
+00:09:03,550 --> 00:09:07,390
+تقول والله انا في عندى قوة مقدارها خمساشدار نيوتن
+
+115
+00:09:07,390 --> 00:09:11,190
+اثرت على ال remote هذا و حركته حركته بأي اتجاه
+
+116
+00:09:11,190 --> 00:09:19,730
+طبعا و لما بكون في عندى منحدر تصير تفرج الأموركمان
+
+117
+00:09:19,730 --> 00:09:23,590
+افترض ان الاحتكاك بين ال two surfaces صفر تبقى
+
+118
+00:09:23,590 --> 00:09:27,250
+والان انا في عندى قوة مقدار عشرة نيوتن بدها تأثر
+
+119
+00:09:27,250 --> 00:09:30,290
+على العشرة kilogram هذه اللى موجودة عندى هنا على
+
+120
+00:09:30,290 --> 00:09:35,870
+السطح المائل هذا واجف واجف القوة هذه قداش مقدارها
+
+121
+00:09:35,870 --> 00:09:42,140
+عشرة نيوتن اتجاهها وين؟ لو كانت هيكممكن تثبت ال
+
+122
+00:09:42,140 --> 00:09:46,320
+object حتى ما يتحركش، بصبوط؟ أو تكسر لو كان أصغر،
+
+123
+00:09:46,320 --> 00:09:50,040
+تمام؟ ولو كانت اتجاه هيك، معناته بدي هتزيحه
+
+124
+00:09:50,040 --> 00:09:53,720
+للأعلى، تمام؟ أو توقفه تبدأ انزلاقه، ولو كان
+
+125
+00:09:53,720 --> 00:09:59,900
+العكس، معناته هتدفقه، فبالتالي أصبح اتجاه القوة،
+
+126
+00:09:59,900 --> 00:10:03,900
+بصبوط؟ مهم جدا عشان أقدر أعمل estimation، شو بدي
+
+127
+00:10:03,900 --> 00:10:07,920
+يصير في ال object؟اللي موجود هنا بكل بساطة لو كانت
+
+128
+00:10:07,920 --> 00:10:12,420
+القوة لميازدة على الكتلة هذه او الصندوق هذا تمام
+
+129
+00:10:12,420 --> 00:10:19,480
+او اقل من قوة اندفاع ال object او الصندوق هذا
+
+130
+00:10:19,480 --> 00:10:26,120
+بيثبت لأ بتطبق حركته لازم تكون القوة مساوية له او
+
+131
+00:10:26,120 --> 00:10:28,940
+اعلى منها بشيء بسيط بحيث انه ماتدمرهش زي مجال كامل
+
+132
+00:10:28,940 --> 00:10:32,440
+فعلى الاقل اتثبته مكانه بسيط ولا لأ فهذه كل
+
+133
+00:10:32,440 --> 00:10:36,370
+المعايير مهمة في الاتجاهفي فهمنا لل objects أو
+
+134
+00:10:36,370 --> 00:10:42,630
+للعناصر الموجودة الصوت الصوت
+
+135
+00:10:42,630 --> 00:10:47,710
+إيه الاتجاه يا شباب قياسه بال hertz وحلة القياس
+
+136
+00:10:47,710 --> 00:10:51,650
+تبعته hertz باتفق معاك لكن كامل فيه إيه اتجاه
+
+137
+00:10:51,650 --> 00:10:58,850
+الصوت ايوة فيه إيه اتجاهالمنحنيات تبعته فيقل اتجاه
+
+138
+00:10:58,850 --> 00:11:05,270
+الصوت الشباب بينتشر بينتشر طيب الان تخيل تخيل ان
+
+139
+00:11:05,270 --> 00:11:08,190
+مجموعة أشخاص واجفين ورايا هناك على بعض بعشرة متر
+
+140
+00:11:08,190 --> 00:11:14,830
+وانا اتجاهي اتجاه الشمال وصراخت على فلان يا محمد
+
+141
+00:11:14,830 --> 00:11:19,990
+بقى على صوتي مين أكتر نسحة تسمع الصوت؟ اللي في
+
+142
+00:11:19,990 --> 00:11:25,970
+الأماممش هيسمع لأ بيسمعوا بيسمعوا بس بيسمعوا حد
+
+143
+00:11:25,970 --> 00:11:30,130
+أقل والدليل على ذلك بنروح على الميادن بنوجه سماعات
+
+144
+00:11:30,130 --> 00:11:34,130
+ماتلاقيش مئدان عليها سماعة واحدة وخلاص مظبوط؟
+
+145
+00:11:34,130 --> 00:11:37,450
+بتحاول تحط في أربع اتجاهات أو تلت اتجاهات على
+
+146
+00:11:37,450 --> 00:11:41,430
+الأقل عشان إيش؟ تضمن إن في عندي coverage كاملة
+
+147
+00:11:41,430 --> 00:11:46,670
+للصوت في المنطقة دليل على إن الصوت بتوزع الموجات
+
+148
+00:11:46,670 --> 00:11:50,250
+تبعته يعني بتساعد على انتشاره مش انتشاره بيكونش خط
+
+149
+00:11:50,250 --> 00:11:55,040
+مستقيم زي الضوءمصبوط؟ لكن لإن هو بيشتغل على موجات
+
+150
+00:11:55,040 --> 00:11:59,000
+فممكنش تتناثر وتتوزع أو ممكن الريح يغير اتجاه
+
+151
+00:11:59,000 --> 00:12:03,560
+الصوت والدليل إنه لما يكون في يوم فيه ريح شديد أو
+
+152
+00:12:03,560 --> 00:12:08,430
+حركة ريح سريعةبتصير الصوت بيبينش ال message اللي
+
+153
+00:12:08,430 --> 00:12:12,050
+في جنب اللي انا بستمرار باسمعه بصير بسمعه مش شيء
+
+154
+00:12:12,050 --> 00:12:16,370
+ليش؟ لأن فعليا الريح بيغير مجرى الموجات اللي
+
+155
+00:12:16,370 --> 00:12:19,790
+موجودة عندنا في الآخر اللي انا بدأ اوصلكيه انه انا
+
+156
+00:12:19,790 --> 00:12:23,330
+في عندي مجموعة من العلاصر اللي بتهمني جدا في ال
+
+157
+00:12:23,330 --> 00:12:27,310
+animation في التصميم الا غير انه بقدرش امثلها ب
+
+158
+00:12:27,310 --> 00:12:32,510
+scalar value لازم امثلها بشغل اسميهاالـ Vector الـ
+
+159
+00:12:32,510 --> 00:12:36,110
+Vector ايش ميزته؟ انه عبارة عن الـ variable الواحد
+
+160
+00:12:36,110 --> 00:12:39,750
+او القيمة الواحدة للـ vector بتحتوي في داخلها اكتر
+
+161
+00:12:39,750 --> 00:12:44,590
+من قيمة اشبه بالمصفوفة يا شباب لان ايش الفرق بين
+
+162
+00:12:44,590 --> 00:12:49,370
+المصفوفة لما انا قلت X تساوي واحد وبين ان ال Y
+
+163
+00:12:49,370 --> 00:12:51,690
+equal واحد واتنين وتلاتة
+
+164
+00:12:56,130 --> 00:13:02,590
+إن الـ Y هذه هي عبارة عن مجموعة عن عدة قيم عدة قيم
+
+165
+00:13:02,590 --> 00:13:07,250
+لما أنا باجي بتكلم و عشان مانخربطش بين الأمور
+
+166
+00:13:07,250 --> 00:13:14,310
+بتفرج الأمور عن واحد و اتنين و تلاتة كمس كستة اللي
+
+167
+00:13:14,310 --> 00:13:18,410
+تحت المجموعة و المجموعة حكينا سابقا ان الترتيب
+
+168
+00:13:18,410 --> 00:13:23,430
+فيها لا يعني شيء مبسوط ولا لأ بينما هان لأ بيعني
+
+169
+00:13:25,460 --> 00:13:30,080
+هذه التلاتة موجودة في الصف الأول العمود التالت
+
+170
+00:13:30,080 --> 00:13:32,520
+يعني في الها order في الها position معلوم لازم
+
+171
+00:13:32,520 --> 00:13:39,720
+تكون موجودة فيه والتكرار مسموح ولا لأ بس بصير الآن
+
+172
+00:13:39,720 --> 00:13:43,100
+انا المتجه تبعي هذا او ال vector اللي انا بتكلم
+
+173
+00:13:43,100 --> 00:13:47,480
+عليه ايش بده يمثل بالنسبة ليه بصير بقول والله okay
+
+174
+00:13:47,480 --> 00:13:52,510
+اذا كان هانبتكلم على مدتجة من عنصرين وكانت الـY
+
+175
+00:13:52,510 --> 00:13:56,790
+بتتمثل القوة معناه تهيأ الأولى بتمثل ال unit او ال
+
+176
+00:13:56,790 --> 00:14:03,150
+scalar value لل unit بالنيوتن والتانية هتمثل ال
+
+177
+00:14:03,150 --> 00:14:08,250
+direction زي ما قد قلنا عند كارتيزيان عند X وY
+
+178
+00:14:08,250 --> 00:14:17,550
+مصبوط وعند تكلمنا على ال system X وYو Z و Y و Z
+
+179
+00:14:17,550 --> 00:14:22,890
+عبارة عن angles زوايا philosophical مصبوط تم تحديد
+
+180
+00:14:22,890 --> 00:14:27,010
+كل عنصر شو شكله و إيش قيمته و إيش بيكون ال value
+
+181
+00:14:27,010 --> 00:14:31,930
+إيش بيتمثل بشكل دقيق في كل value من ال values اللي
+
+182
+00:14:31,930 --> 00:14:35,250
+موجودة وبالتالي ال vector زي أنا الآن ال vector
+
+183
+00:14:35,250 --> 00:14:40,310
+هيخدمني بشكل كويس في التعامل مع العناصر خصوصا زي
+
+184
+00:14:40,310 --> 00:14:46,410
+ما قلنا ان ال vector بشكل عام يحتاجقيمتين او اكتر
+
+185
+00:14:46,410 --> 00:14:57,070
+قيمتين على الاقل قيمتين او اكتر كي و multi value
+
+186
+00:14:57,070 --> 00:15:01,830
+مش دقيق الكلام الا غير ذا كانت بتعتبر ان الاسم هي
+
+187
+00:15:01,830 --> 00:15:06,050
+عبارة عن ال key بت say okay بس لما اتكلم على key و
+
+188
+00:15:06,050 --> 00:15:08,950
+value بتكلم على association شغل بنسميها المعب احنا
+
+189
+00:15:08,950 --> 00:15:13,290
+في ال computer لكن ممكن
+
+190
+00:15:14,170 --> 00:15:17,790
+إذا انا بدي كل متش هيكله اسم مستقل و بتصير ال
+
+191
+00:15:17,790 --> 00:15:20,130
+multi value الأولى تمثل القوة تبعته او ال
+
+192
+00:15:20,130 --> 00:15:24,870
+magnitude طوله والتاني بتمثل الاتجاه لو افترضت ان
+
+193
+00:15:24,870 --> 00:15:30,890
+هدول القوات بتتعامل معاها عادة ال vector يا شباب
+
+194
+00:15:30,890 --> 00:15:35,650
+هو عبارة عن صورة مصغرة من المصحوفة مصحوفة من عمود
+
+195
+00:15:35,650 --> 00:15:40,480
+واحدالـ vector عبارة عن مصفوفة من عمود واحد او
+
+196
+00:15:40,480 --> 00:15:45,680
+مصفوفة من صف واحد ومش هتفرج كتير معايا هيك لأن
+
+197
+00:15:45,680 --> 00:15:49,820
+استخدامي للمصفوفة هذه او لل vector هذا بيخبع لل
+
+198
+00:15:49,820 --> 00:15:54,680
+context او للسياق اللي انا بقى اشتغل فيه يعني لو
+
+199
+00:15:54,680 --> 00:16:01,600
+انا اديت جولت بدي اضرب هذه المصفوفة العملية
+
+200
+00:16:01,600 --> 00:16:07,220
+هذه بتنشيأه لأن شرط ضرب المصفوفتين عدد أعمدات
+
+201
+00:16:07,220 --> 00:16:13,500
+الأولى يساوي عدد الصفوف الثانية هدى وا اتنين في
+
+202
+00:16:13,500 --> 00:16:19,020
+واحد و هدى واحد في اتنين في اتنين في اتنين كيف
+
+203
+00:16:19,020 --> 00:16:24,560
+يبقى تتم عملية الضرب يا باشا تثبتش تثبتش لو العكس
+
+204
+00:16:24,560 --> 00:16:28,520
+كان فرجة الأمور تخيل أنه أنا حطيت نفس المصفوفة هنا
+
+205
+00:16:34,160 --> 00:16:40,220
+و قلتلك اضربها تنفع تنفع الآن صارت هذه واحد في
+
+206
+00:16:40,220 --> 00:16:46,540
+اتنين وهذه اتنين في اتنين مظبوط طب ايش السياق اللي
+
+207
+00:16:46,540 --> 00:16:50,160
+انا باتكلم عليه لما انا بقول بدي استخدم vector
+
+208
+00:16:50,160 --> 00:16:54,600
+سواء column vector او row vector حسب اسمه حسب
+
+209
+00:16:54,600 --> 00:16:56,960
+السياق اللي انا بدي اتكلم عليه معناته انا ممكن
+
+210
+00:16:56,960 --> 00:17:02,900
+عملية الضرب تكون بالشكل هذا هيك
+
+211
+00:17:02,900 --> 00:17:08,250
+بتصبطعاوزة تظبط تمام؟ هذه المقصود حسب ال context
+
+212
+00:17:08,250 --> 00:17:13,110
+حسب السياق انا بدي اتعامل مع ال element لكن بدك
+
+213
+00:17:13,110 --> 00:17:16,170
+تمتبه ان هذه القيمة لا تساوي هذه او مش بضرورة
+
+214
+00:17:16,170 --> 00:17:24,990
+تساوي هذه تمام؟ ليش؟ الناتج من هنا واحد في اتنين
+
+215
+00:17:24,990 --> 00:17:32,410
+وهنا اتنين في واحد وبالتالي قيمتين مختلفتين تمام؟
+
+216
+00:17:37,520 --> 00:17:40,320
+وإن جرّت العدل يا شباب احنا بنستخدم ال column
+
+217
+00:17:40,320 --> 00:17:45,220
+vector تمام؟ إلا غير إنه أثناء الكتابة ممكن نكتبه
+
+218
+00:17:45,220 --> 00:17:49,580
+بالشكل هذا ال column vector N هذا هو نفسه الأول
+
+219
+00:17:49,580 --> 00:17:54,700
+اللي فوق ال T دي تاني ل Transpose و ل Transpose أو
+
+220
+00:17:54,700 --> 00:17:59,500
+مدور المصفوفة إنه بتجلب صفوفها أعمدة و أعمدتها
+
+221
+00:17:59,500 --> 00:18:04,020
+صفوف يعني لو كانت أنا عندي مصفوفة واحد اتنين تلاتة
+
+222
+00:18:05,870 --> 00:18:11,690
+أربعة خمسة ستة هذا المصفوفة تلاتة في اتنين لما بدي
+
+223
+00:18:11,690 --> 00:18:18,630
+اعملها transpose معناه تنتج عنها مصفوفة اتنين في
+
+224
+00:18:18,630 --> 00:18:21,890
+تلاتة لان انا بتبدل الصفوف اعمدة والاعمدة صفوف
+
+225
+00:18:21,890 --> 00:18:27,470
+الصف الأول يكون العمود الأول واحد واربعة اتنين
+
+226
+00:18:27,470 --> 00:18:34,270
+وخمسة تلاتة وستة طب انا بقول الصف الأول فر العمود
+
+227
+00:18:34,270 --> 00:18:40,430
+الأول كذلكالعمود الأول صار الصفر الأول فهذه
+
+228
+00:18:40,430 --> 00:18:43,570
+بنسميها الـ Transpose فلو أنا كتبتلك ال vector أو
+
+229
+00:18:43,570 --> 00:18:47,610
+لجينا ال vector مكتوب بالشكل هذا تمام؟ معناته أنا
+
+230
+00:18:47,610 --> 00:18:52,110
+بتكلم على column vector بتكلم على column vector
+
+231
+00:18:52,110 --> 00:18:54,990
+الآن
+
+232
+00:19:06,550 --> 00:19:09,430
+حنا لفترة بنتكلم أو جاب اللحظات كنا بنتكلم انه
+
+233
+00:19:09,430 --> 00:19:11,710
+لازم اتكلم على ال vector لما انا بتكلم على
+
+234
+00:19:11,710 --> 00:19:17,170
+magnitude او قيمة وبتكلم على اتجاه direction الآن
+
+235
+00:19:17,170 --> 00:19:28,190
+اي شعاق بيسمينا في المدارس تمام شعاق فيه قيمة اللي
+
+236
+00:19:28,190 --> 00:19:32,430
+هو نقطة بداية مالوش نهاية لما انا بتكلم على ال
+
+237
+00:19:32,430 --> 00:19:36,320
+vector لأ بتكلم على قيمة إلهانهاية لأن في
+
+238
+00:19:36,320 --> 00:19:41,900
+الكمبيوتر الشباب باعترفش بشغلة اسمها مالا نهاية
+
+239
+00:19:41,900 --> 00:19:45,420
+infinity يعني شو يعني infinity يعني infinite loop
+
+240
+00:19:45,420 --> 00:19:50,800
+بدون اللي يعمل حساب بدون ما يديك value بدون ما
+
+241
+00:19:50,800 --> 00:19:54,900
+يديك نتيجة وهذا الكلام بالنسبة لنا في الكمبيوترلأ
+
+242
+00:19:54,900 --> 00:19:59,400
+لأ عشان هيك دائما فينا estimation بنحاول إيش نجيب
+
+243
+00:19:59,400 --> 00:20:02,540
+قيمة تقريبية لكن الشغلات اللي المالة نهاية okay
+
+244
+00:20:02,540 --> 00:20:06,660
+يعني عشان هيك مافيش مجال أعمل برمانيش الكمبيوتر
+
+245
+00:20:06,660 --> 00:20:09,540
+يروح يجيبلي آخر رقم في المالة نهاية طب ما إذا
+
+246
+00:20:09,540 --> 00:20:14,240
+اتكلمت على آخر رقم مانه يصرف منتهية مصبوط يعني
+
+247
+00:20:14,240 --> 00:20:19,040
+مافيش لنا آخر رقم كل رقم أنت بتصلهبتلاقي فيه رقم
+
+248
+00:20:19,040 --> 00:20:22,780
+بعده وبالتالي عشان احنا بسميها لامنتهم الان لما
+
+249
+00:20:22,780 --> 00:20:25,080
+بتكلم على ال vector او على السهم او القطعة
+
+250
+00:20:25,080 --> 00:20:29,040
+المستقيمة خلينا بس ان انا عشان نطلع من الشعاع
+
+251
+00:20:29,040 --> 00:20:33,940
+والتسميات لو كنت أنا بتكلم على قطعة مستقيمة القطعة
+
+252
+00:20:33,940 --> 00:20:38,140
+المستقيمة إلها بداية ونهاية وإلها طول إذا أنا حصرت
+
+253
+00:20:38,140 --> 00:20:42,360
+بدايتها وحددت نهايتها ولأ حد بقدر يذكرني كيف بحسب
+
+254
+00:20:42,360 --> 00:20:51,110
+الطولعيني عليك في عندى نقطة البداية هنا X1 Y1 وفي
+
+255
+00:20:51,110 --> 00:20:57,390
+عندى هنا X2 Y2 ال distance بتساوي الجذر التربيعى
+
+256
+00:20:57,390 --> 00:21:04,490
+لـ Delta X تربيع زائد Delta Y تربيع اللى هى X2-X1
+
+257
+00:21:04,490 --> 00:21:10,510
+Y2-Y1 فح؟ وبالتالى أنا بعرف أجيب ال distance طيب
+
+258
+00:21:10,510 --> 00:21:14,880
+الاتجاه بقدر أحددهبالقى راجعي بالاتجاه أو الطريق
+
+259
+00:21:14,880 --> 00:21:19,560
+الزاوية بس أنا ماعنديش زاوية ماعنديش زاوية و اللي
+
+260
+00:21:19,560 --> 00:21:24,440
+محايا راحت حتى لو ماعنديش زاوية انا جبت ال
+
+261
+00:21:24,440 --> 00:21:29,800
+distance Delta
+
+262
+00:21:29,800 --> 00:21:38,280
+X تربيع زائد Delta Y تربيع بقى و الزاوية صار
+
+263
+00:21:38,280 --> 00:21:42,630
+في عندي هذا الضلع معروفالـ X وصارت في عندي الـ Y
+
+264
+00:21:42,630 --> 00:21:47,150
+معروفة و بدك تزوّها للي بتحدد الاتجاه بروح بقول تا
+
+265
+00:21:47,150 --> 00:21:55,190
+او ثيتا تساوي tan inverse ل Y على X يعني الآن بدت
+
+266
+00:21:55,190 --> 00:21:59,590
+المواد اللي أو الشغلات اللي خدمتها سابقا بدتش
+
+267
+00:21:59,590 --> 00:22:02,390
+تتطبق في المواضيع الشديدة اللي عندي هنا تمام
+
+268
+00:22:02,390 --> 00:22:06,430
+وبالتالي لما انا بتكلم على اي متجة بتكلم على شغل
+
+269
+00:22:06,430 --> 00:22:10,710
+بنسميها ال magnitudeوالمقصود فيها طول المتجه
+
+270
+00:22:10,710 --> 00:22:15,950
+وبتكلم
+
+271
+00:22:15,950 --> 00:22:19,830
+على ال direction
+
+272
+00:22:19,830 --> 00:22:25,410
+ال direction طيب الآن يا شباب شغلة مهمة لما بتكون
+
+273
+00:22:25,410 --> 00:22:32,530
+عندي ليش الصورة هيك بسيطة هو كان الفرق بين
+
+274
+00:22:32,530 --> 00:22:38,980
+الشغلتين هي قطعة مستقيمة وهي الشعق او المتجهأنا
+
+275
+00:22:38,980 --> 00:22:43,500
+مجرد خط عشان نثبت موضوع القياس خلّيني نتكلم هنا ..
+
+276
+00:22:43,500 --> 00:22:47,160
+الآن في المثال السابق .. في المثال السابق كانت أنا
+
+277
+00:22:47,160 --> 00:22:52,880
+بيبدأ من نقطة الصفر .. مصبوط؟ وقدرت أحدد إزاي و
+
+278
+00:22:52,880 --> 00:23:00,500
+بكل بساطة .. طب هان .. أنزل عمودين وأعمل خط ..
+
+279
+00:23:00,500 --> 00:23:07,830
+الآندائما مع بداية المتجه باخد خط مستقيم ولا شو
+
+280
+00:23:07,830 --> 00:23:13,850
+رايكوا؟ بينفع؟ اه بينفع من
+
+281
+00:23:13,850 --> 00:23:20,750
+اي مكان خد خط مستقيم موازي لل X axis بدايته بداية
+
+282
+00:23:20,750 --> 00:23:26,890
+المتجه بدايته بداية المتجه ونهاية الخط هذا التقاضع
+
+283
+00:23:26,890 --> 00:23:32,120
+مع الخط الصاقف او العمودالنازل من مين؟ من نهايتي
+
+284
+00:23:32,120 --> 00:23:35,400
+المتجهة اللى موجودة عندي بتشكل المثلث وبتهيأ اللى
+
+285
+00:23:35,400 --> 00:23:38,700
+مافيش عندك مشكلة تحسب كل واحدة اتنين تلاتة اربعة
+
+286
+00:23:38,700 --> 00:23:43,420
+طول ال X وطول ال Y اتنين صرت بتقدر تجيب الزاوية
+
+287
+00:23:43,420 --> 00:23:44,960
+بكل بساطة
+
+288
+00:24:04,080 --> 00:24:07,280
+القطع المستقيمة اللى عندي هان او الخط هذا اللى انا
+
+289
+00:24:07,280 --> 00:24:13,860
+رسمته هان بالاسود ايش بيفجع المتجه اللى هان اتجاه
+
+290
+00:24:13,860 --> 00:24:20,080
+مصبوط او بين جوسين من الرسمة او من السهم اللى
+
+291
+00:24:20,080 --> 00:24:25,960
+موجود على القطعة المستقيمة اقدرت احدد بداية المتجه
+
+292
+00:24:25,960 --> 00:24:32,100
+ونهايته اللى بين جوسين اعطتني القداع عن اتجاهه ففي
+
+293
+00:24:32,100 --> 00:24:38,160
+القطعة المستقيمةمش بقدرش اتكلم على الاتجاه بقدرش
+
+294
+00:24:38,160 --> 00:24:41,360
+اتكلم على الاتجاه لأنه في الآخر ال magnitude يا
+
+295
+00:24:41,360 --> 00:24:46,860
+شباب للتنين واحد مع التربيع انا بقدر .. يعني x
+
+296
+00:24:46,860 --> 00:24:51,420
+واحد ماقص x اتنين تربيع هي تساوي x اتنين ماقص x
+
+297
+00:24:51,420 --> 00:24:55,650
+واحد تربيعأو لأن التربية بضيع السلم وبالتالي أنا
+
+298
+00:24:55,650 --> 00:24:58,270
+ال magnitude ما بتفيدنيش .. ما بتفيد .. عفوا .. ما
+
+299
+00:24:58,270 --> 00:25:01,590
+بتفيدنيش في الاتجاه عشان هيك على الخط المستقيم هذا
+
+300
+00:25:01,590 --> 00:25:05,250
+بقدرش أتكلم على اتجاه لكن مع الشعاع أو مع المتجاه
+
+301
+00:25:05,250 --> 00:25:09,750
+لأ بقدر أتكلم على اتجاه لأنه على الأقل وضحلي نقطة
+
+302
+00:25:09,750 --> 00:25:13,130
+البداية أو نقطة النهاية في الشكل الموجود عندها
+
+303
+00:25:13,130 --> 00:25:19,700
+وعادة يا شباب نقطة البداية بسميها ال tailو نقطة
+
+304
+00:25:19,700 --> 00:25:24,260
+النهاية بسميها ال head نقطة البداية بسميها ال tail
+
+305
+00:25:24,260 --> 00:25:29,780
+و نقطة النهاية بسميها ال head تعالى الاشكال اللى
+
+306
+00:25:29,780 --> 00:25:35,880
+موجودة عندها هى فى عندي متجه ال متجه ال R ايش
+
+307
+00:25:35,880 --> 00:25:44,120
+المكونات تبعته عندى X1 Y1 X2 Y2 هى النقطين من ال
+
+308
+00:25:44,120 --> 00:25:53,230
+tailX1 Y1 القيمتها على الرسل واحد واثنين مظبوط ال
+
+309
+00:25:53,230 --> 00:26:01,350
+head قيمتها ثلاثة واربعة لو انا اجيت هنا للمتج S
+
+310
+00:26:01,350 --> 00:26:11,590
+مين ال head تبعته هيا X4 Y4 القيمتها تلاتة وواحد
+
+311
+00:26:12,360 --> 00:26:16,440
+مصبوط وبالتالي كمان مرة مع المتجهات صرت انا بقدر
+
+312
+00:26:16,440 --> 00:26:20,220
+اتكلم على التل و بقدر اجيب ال component الان
+
+313
+00:26:20,220 --> 00:26:27,920
+المتجه هذا R او S ايش ال component تبعته بدايته و
+
+314
+00:26:27,920 --> 00:26:31,880
+نهايته اللي هم النقطين مصبوط هينقطين ال R و
+
+315
+00:26:31,880 --> 00:26:39,800
+هينقطين ال S لو انا بدي امثله كزوج مرتب شو بدي
+
+316
+00:26:39,800 --> 00:26:46,610
+اسوي؟بدي امثل امثل المتجه كزوج مرتب ايش بدي انا
+
+317
+00:26:46,610 --> 00:26:51,230
+اساوي اها
+
+318
+00:26:51,230 --> 00:26:58,650
+معناته انا بدي اتكلم على delta X و delta Y و بتصير
+
+319
+00:26:58,650 --> 00:27:05,150
+نقطة البداية و نقطة النهاية للمتجه بتصير هذه ال
+
+320
+00:27:05,150 --> 00:27:11,800
+tail و هذه ال headمظبوط او لا لان ال a فعليا وانا
+
+321
+00:27:11,800 --> 00:27:15,660
+صرت بتكلم هكذا ده علاء ال magnitude تبع المتجه
+
+322
+00:27:15,660 --> 00:27:20,060
+اللي عندي يعني
+
+323
+00:27:20,060 --> 00:27:28,400
+الان R كمتجه بدها تساوي vector بالشكل هذا
+
+324
+00:27:28,400 --> 00:27:37,710
+transpose القيمة الأولى هتكون Xتبعت ال R اللي هو
+
+325
+00:27:37,710 --> 00:27:44,350
+بينغوسين دلتا X والتانية Delta Y والـ R بس عشان
+
+326
+00:27:44,350 --> 00:27:47,990
+أقولك مين لمين ال vector اللي أنا بتكلم عليه طيب
+
+327
+00:27:47,990 --> 00:27:50,850
+نرجع للرسمة أولا هي اللي موجودة هنا وحطيتها في ال
+
+328
+00:27:50,850 --> 00:27:55,030
+slide اللي بعدها الألم هي بدي أتكلم على ال
+
+329
+00:27:55,030 --> 00:27:59,550
+component تبعت ال vector R أتكلم على ال component
+
+330
+00:27:59,550 --> 00:28:05,380
+معناته ال component X component Yطب انا هاي في عند
+
+331
+00:28:05,380 --> 00:28:15,480
+X1 X2 Y1 Y2 واتفقنا انه رايح بالاتجاه من Y1 او من
+
+332
+00:28:15,480 --> 00:28:22,400
+X1 Y1 اللي هو X2 Y2 وبالتالي انا بتكلم ان XR او
+
+333
+00:28:22,400 --> 00:28:27,060
+Delta X تساوي X2
+
+334
+00:28:27,060 --> 00:28:35,860
+ناقص X1 اللي هي المفروض تلاتة ناقص واحدهذه مقدار
+
+335
+00:28:35,860 --> 00:28:41,400
+التغيير اللي هنا وهذا هو مقدار التغيير اللي حصل
+
+336
+00:28:41,400 --> 00:28:46,820
+هنا على مستوى ال Y وبالتالي أنا مع كل متجه صرت
+
+337
+00:28:46,820 --> 00:28:50,600
+مقدر أجيب مراكبتينه والمراكبتين هذولة للقطع
+
+338
+00:28:50,600 --> 00:28:57,540
+المستقيمة همثلهم ال vector بالشكل هذا يعني بكل
+
+339
+00:28:57,540 --> 00:29:02,660
+بساطة انا الآن لو قلت لك هنا في عند متجه S يساوي
+
+340
+00:29:08,600 --> 00:29:16,140
+أربعة و أربعة أربعة
+
+341
+00:29:16,140 --> 00:29:20,740
+و أربعة بدي
+
+342
+00:29:20,740 --> 00:29:27,940
+أرجع على الرسم هذه لإن أنا شوية أكبر وين
+
+343
+00:29:27,940 --> 00:29:32,800
+وين ما كانوا على الرسم؟ وين ما كانوا على الرسم؟
+
+344
+00:29:32,800 --> 00:29:33,560
+أربعة و أربعة
+
+345
+00:29:44,260 --> 00:29:51,620
+مظبوط هذا اربعة او اربعة سلم تمك صحيح كلامك والجنب
+
+346
+00:29:51,620 --> 00:29:55,240
+هذا اربعة او اربعة والهن اربعة او اربعة المعنى
+
+347
+00:29:55,240 --> 00:29:59,960
+هيكون في عندي infinite number من ال vectors اللي
+
+348
+00:29:59,960 --> 00:30:03,160
+ال magnitude تبعتها او ال representation تبعتها
+
+349
+00:30:03,160 --> 00:30:05,620
+اربعة او اربعة تمام
+
+350
+00:30:08,850 --> 00:30:13,650
+وبالتالي لو انا كتبت ال vector بالشكل هذا مش ضروري
+
+351
+00:30:13,650 --> 00:30:17,970
+يكون في عندي مكتملة البيانات عن ال vector بقدر
+
+352
+00:30:17,970 --> 00:30:22,690
+اجيب الزاوية اللي بتحرك فيها ال vector هذا شباب اه
+
+353
+00:30:22,690 --> 00:30:29,930
+بقدر θ تساوي tan inverse لو I على Xخمسة واربعين
+
+354
+00:30:29,930 --> 00:30:33,470
+الزاوية اللي موجودة عندى هنا لإنه متثلث متساوي
+
+355
+00:30:33,470 --> 00:30:37,810
+الساقين تمام و زاوية قائمة مع أفضل الزاويتين
+
+356
+00:30:37,810 --> 00:30:45,830
+التانيات خمسة واربعين كيف بقدرش أحدد لأ هو بتحرر
+
+357
+00:30:45,830 --> 00:30:50,360
+واضح الاتجاه من X من X الآنباتجاهه واضح حسب الرسم
+
+358
+00:30:50,360 --> 00:30:55,160
+اللي موجود عندها بس انت فعليا انا احطه نازل اذا
+
+359
+00:30:55,160 --> 00:30:58,740
+كانت تتكلم انت اتجاهه للأسفل ولا للأعلى كلامك صحيح
+
+360
+00:30:58,740 --> 00:31:03,080
+و ال position تبعته كمان انا مقدرش اتكلم عليها
+
+361
+00:31:03,080 --> 00:31:09,420
+مطلقا طيب الان لكن
+
+362
+00:31:09,420 --> 00:31:12,540
+مقدر انا استفيد زي ما قولنا سابقا انا بجيب ال
+
+363
+00:31:12,540 --> 00:31:16,700
+magnitude مقدر اجيب طوله طول ال vector جداش
+
+364
+00:31:19,300 --> 00:31:26,640
+16 زي 19 تحت الجذر تمام؟ الآن في مجموعة من ال
+
+365
+00:31:26,640 --> 00:31:38,860
+vectors مالك
+
+366
+00:31:38,860 --> 00:31:44,760
+يا صاحيب الله يسلمك ماهي الحالة ال vector اللي انا
+
+367
+00:31:44,760 --> 00:31:48,520
+علمته هذا باللون الأسود بدي أقوله
+
+368
+00:31:51,190 --> 00:31:57,410
+بدي اقوله اتنين ليش
+
+369
+00:31:57,410 --> 00:32:03,950
+تعالى خلينى نسميها ده R تمام نكتبه كمتجه R تساوي
+
+370
+00:32:03,950 --> 00:32:15,250
+Delta X صفر اتنين وصفر اتنين ناقص صفر مصبوط هذه
+
+371
+00:32:15,250 --> 00:32:26,780
+Delta X وال Yكان هان صفر وهان ما زالت صفر معناه
+
+372
+00:32:26,780 --> 00:32:33,160
+المتجه اللي عندي انا اتنين وصفر ال magnitude تبعته
+
+373
+00:32:33,160 --> 00:32:38,140
+لازم احطه ضمن ال absolute value قيمة المطلقة بدأت
+
+374
+00:32:38,140 --> 00:32:44,820
+ساوي الجدر التربيع للتنين تربيع زي صفر تربيع اربعة
+
+375
+00:32:44,820 --> 00:32:49,480
+تحت الجدر تساوى اتنين تمام؟
+
+376
+00:33:03,910 --> 00:33:05,970
+هذا افترض ان هذا S
+
+377
+00:33:09,970 --> 00:33:14,870
+أشوف انت الآن مهم جدا تعرف النقطة ال head جديش ال
+
+378
+00:33:14,870 --> 00:33:19,950
+head جديش سالب واحد سالب واحد و ال tail صفر صفر
+
+379
+00:33:19,950 --> 00:33:27,230
+معناته ال S يساوي سالب واحد نقل صفر سالب واحد و
+
+380
+00:33:27,230 --> 00:33:33,370
+سالب واحد نقل صفر سالب واحد معناته ال magnitude لل
+
+381
+00:33:33,370 --> 00:33:42,810
+S سالب واحد تربيع سالب واحد تربيعجذر التنين تمام
+
+382
+00:33:42,810 --> 00:33:49,170
+الشباب؟ الآن هذا و هذا و هذا لهم نفس ال magnitude
+
+383
+00:33:49,170 --> 00:33:58,110
+لكن اتجاهاتهم مختلفة اتجاهاتهم مختلفة حكينا
+
+384
+00:33:58,110 --> 00:34:03,410
+مع كيف بدي اجيب الزاوية بعد ما حدد النقاط اللي
+
+385
+00:34:03,410 --> 00:34:08,840
+موجودة عندى بقولت بابداخط مستقيم وازل ال X axis و
+
+386
+00:34:08,840 --> 00:34:17,880
+بمشي ضد عقارب الساعة او عكس عقارب الساعة في
+
+387
+00:34:17,880 --> 00:34:23,280
+ال 3D vectors يا شباب انا
+
+388
+00:34:23,280 --> 00:34:29,720
+بتكلم على ال 2D انا بتكلم على X و Y في ال 3D X Y و
+
+389
+00:34:29,720 --> 00:34:33,280
+Z يعني
+
+390
+00:34:33,280 --> 00:34:38,250
+اذا انت بدك تتخيلان هذا المجسم او هذا اللوح هو
+
+391
+00:34:38,250 --> 00:34:44,310
+عبارة عن ال X و ال Y كارتيزيا ال plane تخيل انه
+
+392
+00:34:44,310 --> 00:34:50,950
+كمان خط يجلم هذا وهي وهي الجاي مش ضروري اكون عمودي
+
+393
+00:34:50,950 --> 00:34:57,450
+ال plane هي كتصار عمودي تمام او بلاش اتخيل وهي في
+
+394
+00:34:57,450 --> 00:35:02,290
+الزاوية هان الان هى صار في عندي 3Dلما بتتكلم على
+
+395
+00:35:02,290 --> 00:35:07,990
+vector في الـ3D، أي خط موجود في الفراغ هان، سواء
+
+396
+00:35:07,990 --> 00:35:11,410
+كان لا نقطة الصفر أو لا لاسهاش، أي خط، هيك بيصيح
+
+397
+00:35:11,410 --> 00:35:16,970
+بتتكلم على نقطة في الـ3D، هل ضروري ال vector يكون
+
+398
+00:35:16,970 --> 00:35:22,030
+متعمد على ال space؟ مش ضروري، ممكن يكون متعمد على
+
+399
+00:35:22,030 --> 00:35:25,530
+plane في ال space، متعمد على ال X والY، على المسطح
+
+400
+00:35:25,530 --> 00:35:31,060
+حالةأو ممكن يكون متعمد على X و Z أو ممكن يكون
+
+401
+00:35:31,060 --> 00:35:34,760
+متعمد على Y و Z مش قضية وممكن مايكونش متعمد على أي
+
+402
+00:35:34,760 --> 00:35:38,560
+surface أو أي plane من المسطحات اللي بتشكلت ال
+
+403
+00:35:38,560 --> 00:35:44,000
+space اللي موجود عندي في الآخر لو أنا افترضت ان ال
+
+404
+00:35:44,000 --> 00:35:52,760
+R موجودة من B1 ل B2 من ال B tail ل ال B head B
+
+405
+00:35:52,760 --> 00:36:02,820
+tail ايش يعني ايش مكوناتهاx1 y1 z1 و ال P head x2
+
+406
+00:36:02,820 --> 00:36:08,260
+y2 z2 و هكذا و هكذا بصير ان انا بقدر بكل بساطة
+
+407
+00:36:08,260 --> 00:36:12,360
+اتكلم على ان انا بتكلم على ال magnitude في ال 3D
+
+408
+00:36:12,360 --> 00:36:19,700
+spaces و ال vector r هذا يمثل ال delta x delta y
+
+409
+00:36:19,700 --> 00:36:28,320
+delta z تملاحظ معايا انه اجال ال vectorكان يمثل
+
+410
+00:36:28,320 --> 00:36:34,700
+كده؟ two values الـ2D في أقل من الـ2D يا شباب؟ لأ
+
+411
+00:36:34,700 --> 00:36:43,160
+لأ طيب و بالتالي ال magnitude X
+
+412
+00:36:43,160 --> 00:36:48,700
+تربيع زائد Y تربيع زائد Z تربيع تحت الجذر طيب
+
+413
+00:36:48,700 --> 00:36:55,240
+الزاوية يا شباب اتجاهه اتجاهه
+
+414
+00:36:57,580 --> 00:37:03,280
+تجاهه زي ما بقول خضر جهد عبارة عن زاويتين عبارة عن
+
+415
+00:37:03,280 --> 00:37:09,220
+زاويتين زاوية مع ال X و ال Y plane و الزاوية
+
+416
+00:37:09,220 --> 00:37:15,140
+التانية مع ال Z تمام و ال vector اللي موجود عندى و
+
+417
+00:37:15,140 --> 00:37:17,940
+هذا الكلام مابنعش ننساه و هيدخل معانا ال
+
+418
+00:37:17,940 --> 00:37:21,200
+historical system كمان في الموضوع عشان نقدر يحدد
+
+419
+00:37:21,200 --> 00:37:25,440
+الزوايا و نقدر أفهم الزوايا اللي موجودة عندها تمام
+
+420
+00:37:26,600 --> 00:37:29,800
+الان بعد ما اتعرفت على ال vector و مكونات في اي
+
+421
+00:37:29,800 --> 00:37:34,460
+سؤال الشباب في الكلام اللي قلناه سابقا نفسي
+
+422
+00:37:34,460 --> 00:37:40,860
+الجديد ده ال cylindrical حطه ال cylindrical حالة
+
+423
+00:37:40,860 --> 00:37:44,800
+خاصة مابلزمنيش في الوقت الحالي طيب الان
+
+424
+00:37:47,850 --> 00:37:50,690
+الـ vector manipulation لما بتكلم على الـ vector
+
+425
+00:37:50,690 --> 00:37:54,890
+manipulation بتكلم على العمليات أو التعامل مع ال
+
+426
+00:37:54,890 --> 00:37:57,350
+vectors إيش اللي ممكن يصير في ال vector يا شباب
+
+427
+00:37:57,350 --> 00:38:03,030
+أجمع two vectors أطلحهم من بعض أضربهم في بعض
+
+428
+00:38:03,030 --> 00:38:09,690
+أجسمهم على بعض تمام غيره أضرب في constant أضرب في
+
+429
+00:38:09,690 --> 00:38:15,150
+ثابت تمام عشان أعمله scaling أكبره أصغره أضرب فيه
+
+430
+00:38:15,150 --> 00:38:20,580
+سالب عشان أغير اتجاههعملوا إزاحة كل هذه العمليات
+
+431
+00:38:20,580 --> 00:38:25,380
+هي عبارة عن vector manipulation أساسها عمليتين جمع
+
+432
+00:38:25,380 --> 00:38:33,440
+و ضرب جمع و ضرب الآن لما ياجي أتكلم مع أبسط
+
+433
+00:38:33,440 --> 00:38:36,140
+العمليات اللي موجودة عندي قبل ما اتكلم على ال
+
+434
+00:38:36,140 --> 00:38:39,000
+scaling او اتكلم عفوا على ال addition و ال
+
+435
+00:38:39,000 --> 00:38:42,880
+subtraction و ال multiplication بدي أتفهم ان في
+
+436
+00:38:42,880 --> 00:38:46,980
+عندى شغل نسميها ال scalingقبل شوية قلنا انا في
+
+437
+00:38:46,980 --> 00:38:51,340
+عندى value اسمها scalar اول slide كنت بتكلم على
+
+438
+00:38:51,340 --> 00:38:55,380
+scalar على value تمام؟ لما انا باجي بتكلم على
+
+439
+00:38:55,380 --> 00:39:00,780
+scaling باجي بتكلم على تحديد ال vector او تحجيم ال
+
+440
+00:39:00,780 --> 00:39:04,200
+vector او اعطاء قيمة لل vector و لما اتكلم ب
+
+441
+00:39:04,200 --> 00:39:08,640
+scaling بالتحديد بتكلم على تغيير طول ال vector
+
+442
+00:39:08,640 --> 00:39:13,580
+scaling تغيير قياس ال vector تغيير قياس ال vector
+
+443
+00:39:13,580 --> 00:39:19,630
+يا شباباحنا عرفنا ان ال distance او ال magnitude
+
+444
+00:39:19,630 --> 00:39:26,630
+تبعته delta x تربيع زائد delta y تربيع طب لو انا
+
+445
+00:39:26,630 --> 00:39:32,050
+بده اغير طوله لضعف ايش بده يساوي؟ بده اضربه في
+
+446
+00:39:32,050 --> 00:39:39,690
+اتنين، مصبوط؟ يعني الآن لو كان عندي ال R ساوي
+
+447
+00:39:39,690 --> 00:39:40,990
+اتنين و خمسة
+
+448
+00:39:54,590 --> 00:39:59,490
+أربعة و عشرة طب احنا لما أخدنا في المصفوفات قولت
+
+449
+00:39:59,490 --> 00:40:03,150
+بأقدر أخد عامل مشترك من أي صف أو من أي عمود في
+
+450
+00:40:03,150 --> 00:40:10,050
+المصفوفة ولا لأ؟ اتنين
+
+451
+00:40:10,050 --> 00:40:13,890
+و خمسة اتنين و خمسة يقولنا من صف أو عمود
+
+452
+00:40:17,290 --> 00:40:20,530
+وهذه عملية الـ Scaling طب لو أنا بدي أصغر حجمه
+
+453
+00:40:20,530 --> 00:40:25,230
+للنص بدي أضرب في نص وعشان هيك مفهوم الـ Scaling هي
+
+454
+00:40:25,230 --> 00:40:30,450
+عبارة عن تغيير طول الـ Vector ولمّا بتكلم عفوا على
+
+455
+00:40:30,450 --> 00:40:34,270
+الـ 3D object الـ Scaling تغيير حجم الـ Vector
+
+456
+00:40:34,270 --> 00:40:38,770
+تغيير حجم الـ Vector أو تغيير حجم الـ Object عفوا
+
+457
+00:40:38,770 --> 00:40:45,020
+وبالتالي الـ Scaling هي عبارة عن عملية ضربتمام؟ ال
+
+458
+00:40:45,020 --> 00:40:54,060
+vector ب scalar value أو قيمة ثابتة ال
+
+459
+00:40:54,060 --> 00:41:00,060
+lambda هذه ال
+
+460
+00:41:00,060 --> 00:41:03,400
+lambda هاي هي عبارة عن ال value اللي انا بدي
+
+461
+00:41:03,400 --> 00:41:06,180
+اضربها في ال vector اللي موجود عندي ال real number
+
+462
+00:41:06,180 --> 00:41:12,440
+ال real number تمام لو انا عملت scaling الاتجاه
+
+463
+00:41:12,440 --> 00:41:19,280
+بتغيران ضربت بصالب ان ضربت بصالب ان ضربت بصالب ان
+
+464
+00:41:19,280 --> 00:41:25,000
+ضربت بصالب ان ضربت بصالب ان
+
+465
+00:41:25,000 --> 00:41:30,040
+ضربت بصالب ان ضربت بصالب ان ضربت بصالب ان ضربت
+
+466
+00:41:30,040 --> 00:41:34,240
+بصالب ان ضربت بصالب ان ضربت بصالب ان ضربت بصالب ان
+
+467
+00:41:34,240 --> 00:41:34,240
+ضربت بصالب ان ضربت بصالب ان ضربت بصالب ان ضربت
+
+468
+00:41:34,240 --> 00:41:36,440
+بصالب ان ضربت بصالب ان ضربت بصالب ان ضربت بصالب ان
+
+469
+00:41:36,440 --> 00:41:41,880
+ضربت بصالب ان ضربت بصالب ان ضربت بصالب ان ضربت
+
+470
+00:41:41,880 --> 00:41:44,570
+بصالب ان ضربت بصالب ان ضربت بصالب ان ضربت بصالبTen
+
+471
+00:41:44,570 --> 00:41:48,250
+inverse أربعة
+
+472
+00:41:48,250 --> 00:41:53,890
+على أربعة خمسة و أربعين لو ضربتها في سالب لو
+
+473
+00:41:53,890 --> 00:42:02,030
+ضربتها عملت scaling في سالب سالب أربعة صح؟
+
+474
+00:42:02,030 --> 00:42:09,710
+بالإيش؟
+
+475
+00:42:09,710 --> 00:42:20,140
+اه لأ يا حبيبيانت الان ماتخربطش ان
+
+476
+00:42:20,140 --> 00:42:26,140
+قياس زاوية المبتجه دائما من ال horizontal line
+
+477
+00:42:26,140 --> 00:42:30,340
+الموازي لل X axis عكس عقرب الساعة يعني الخمسة و
+
+478
+00:42:30,340 --> 00:42:36,260
+أربعين هادى خمسة و أربعين مافيش فيها كلام طبعا بس
+
+479
+00:42:36,260 --> 00:42:42,250
+أصبر شوية الان اذا انت روح تضربت كل المبتجهفي سالب
+
+480
+00:42:42,250 --> 00:42:47,350
+واحد طبعا معناته ايه عملية الضرب الإشارة السالبة
+
+481
+00:42:47,350 --> 00:42:51,570
+معناته في التغيير في اتجاه العنصر كذلك لو ضربت
+
+482
+00:42:51,570 --> 00:42:57,830
+نقطة واحدة فقط لو
+
+483
+00:42:57,830 --> 00:43:05,510
+كانت ال S هيك فرجت معايا الصورة طبعا الان بما ان
+
+484
+00:43:05,510 --> 00:43:12,510
+انت المتجر عندكمش مرسوم قدامك مابتكاش تشتهد كتير
+
+485
+00:43:12,510 --> 00:43:16,810
+معاه وبتشتغل كالتالي tan inverse أربع على أربع
+
+486
+00:43:16,810 --> 00:43:19,850
+خمسة و أربعين الزاوية خمسة و أربعين ماتكلمش على
+
+487
+00:43:19,850 --> 00:43:26,970
+مكملتها تمام؟ ايوة لما الآن بتحالي الزاوية tan
+
+488
+00:43:26,970 --> 00:43:31,110
+inverse لسالب
+
+489
+00:43:31,110 --> 00:43:39,750
+أربعة على أربعةسالب واحد الآن هي 135 هي المكملة
+
+490
+00:43:39,750 --> 00:43:44,310
+واضح الأمور يا شباب فانت الآن اذا انت نجلت المتجهة
+
+491
+00:43:44,310 --> 00:43:48,990
+كله للربع التالت و اذا في حالة انا ضربته في صفر
+
+492
+00:43:48,990 --> 00:43:52,350
+اعفوا في سالب واحد انا نجلت المتجهة كله للربع
+
+493
+00:43:52,350 --> 00:43:57,460
+التالتماغيرتش اتجاهه سحبته كله و حطته في الربع
+
+494
+00:43:57,460 --> 00:44:01,140
+التالت من الرسمة ماغيرتش اتجاهه لكن لما انا روح
+
+495
+00:44:01,140 --> 00:44:05,760
+اضربت واحدة من المراكبات تبعته في سالب اتغير
+
+496
+00:44:05,760 --> 00:44:09,660
+الاتجاه او بين جسين غيرت ال head تبعته او اغير
+
+497
+00:44:09,660 --> 00:44:13,680
+التل اشبه بالانعكاس بس اللي ماخل الانعكاس لبعدين
+
+498
+00:44:13,680 --> 00:44:15,760
+في انا شغلة مهمة جدا
+
+499
+00:44:18,980 --> 00:44:25,620
+أنا ضربت في scalar value ضربت المتجه في scalar هل
+
+500
+00:44:25,620 --> 00:44:30,260
+بقدر اجمع scalar يا شباب يعني الآن زي ما قلت انا
+
+501
+00:44:30,260 --> 00:44:36,680
+اتنين في اربعة وخمسة ضربنا اتنين في اربعة وضربنا
+
+502
+00:44:36,680 --> 00:44:44,920
+اتنين في خمسة هل بقدر اقول بقدر
+
+503
+00:44:44,920 --> 00:44:45,480
+اقول هيك
+
+504
+00:44:49,960 --> 00:44:57,140
+مشي شوية لما
+
+505
+00:44:57,140 --> 00:45:05,360
+انا باتكلم على vector العملية هذه مرفوضة هي
+
+506
+00:45:05,360 --> 00:45:11,630
+الأساس ان عملية الجمع مش عملية توزيعيةتمام؟ عملية
+
+507
+00:45:11,630 --> 00:45:16,250
+الجمع مش عملية توزيعية هدى واحد بس اللى عنه هالى
+
+508
+00:45:16,250 --> 00:45:20,650
+عالى مش عملية ضرب هدوله مركبتين ومفصلتين عن بعض
+
+509
+00:45:20,650 --> 00:45:25,570
+كلامك صح عملية الجمع مش عملية توزيعية وبالتالي
+
+510
+00:45:25,570 --> 00:45:30,830
+إياك تروح تاخد تاخد عملية جمع هدى وتدخلها على
+
+511
+00:45:30,830 --> 00:45:35,770
+مجموعة تماما وكأني بقولك اتنين زائد واحد واتنين
+
+512
+00:45:35,770 --> 00:45:42,900
+وتلاتة كمجموعةبنفع تنفذها العملية هذه؟ لأ مع ال
+
+513
+00:45:42,900 --> 00:45:47,220
+sets أو مع المجموعات مافيش شغل يسمها الجمع في عندي
+
+514
+00:45:47,220 --> 00:45:49,440
+union وفي عندي intersection وفي عندي difference
+
+515
+00:45:49,440 --> 00:45:53,300
+هذه عملية المجموعات وبالتالي هنا في عندي مجموعة
+
+516
+00:45:53,300 --> 00:46:00,380
+وفي عندي scalar بيلتجوش مع بعض كذلك هنا في عندي
+
+517
+00:46:00,380 --> 00:46:06,280
+vector وفي عندي scalar مافيش مجال أجمعهم لبعض أديك
+
+518
+00:46:06,280 --> 00:46:14,410
+مثال ثانيلما كنا بنروح ناخد اتنين و اروح بدي اجمع
+
+519
+00:46:14,410 --> 00:46:23,510
+حالة I قيمة تخيلية مسموح لي كنت اقول مسموح لي ادرب
+
+520
+00:46:23,510 --> 00:46:28,540
+ال scalar في ال I ولا لأ؟بس مستحيل أروح أجمعها و
+
+521
+00:46:28,540 --> 00:46:32,660
+أحصل على real number لأنه كان الناتج شغلة مش
+
+522
+00:46:32,660 --> 00:46:37,160
+مازالة قيمة مركبة قيمة تخيلية بتقدر تجمعها لكن
+
+523
+00:46:37,160 --> 00:46:39,820
+مابتقدر تدمجها في داخل القيمة التخيلية و نفس
+
+524
+00:46:39,820 --> 00:46:45,460
+الكلام هنا الان الجمع هذه مابي هتتوزع على عناصر ال
+
+525
+00:46:45,460 --> 00:46:48,920
+vector اللي موجود عندى بين جثين اتضارت ب scalar
+
+526
+00:46:48,920 --> 00:46:53,440
+مسموح و جمع scalar لل vector مرفوض غير مسموح
+
+527
+00:46:57,900 --> 00:47:04,000
+وهذا بينعكس عليه اش الطريح والجسمة يعني بتصير
+
+528
+00:47:04,000 --> 00:47:07,040
+القسمة مسموحة اللي هي بنجوسيل اللي عامل مشترك
+
+529
+00:47:07,040 --> 00:47:10,920
+وليها مصبوط و الطريح مرفوضة طيب الله يعطيكوا
+
+530
+00:47:10,920 --> 00:47:13,380
+العافية مافيش مشكلة ان شاء الله تعالى
+
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/mPL84k2dxcs.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/mPL84k2dxcs.srt
new file mode 100644
index 0000000000000000000000000000000000000000..3d32280af8cdc66db2ea6bb85e138b836190858b
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/mPL84k2dxcs.srt
@@ -0,0 +1,2842 @@
+1
+00:00:20,890 --> 00:00:23,330
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:23,330 --> 00:00:26,430
+اليوم إن شاء الله يا شباب بنخلص موضوع الـ Chapter  
+
+3
+00:00:26,430 --> 00:00:29,590
+Transformation مع أنه هنشوف أنه في بعض الشغلات 
+
+4
+00:00:29,590 --> 00:00:34,290
+احنا مارينا عليها سابقًا بشكل سريع احنا كنا تكلمنا 
+
+5
+00:00:34,290 --> 00:00:37,530
+أو نتكلم في الـ Transforms في عندي ثلاث أنواع أو 
+
+6
+00:00:37,530 --> 00:00:39,570
+أربعة أنواع من الـ Transforms في عند الـ Translation 
+
+7
+00:00:39,570 --> 00:00:42,490
+وفي عند الـ Scaling وفي عند الـ Rotation وفي عند الـ
+
+8
+00:00:42,490 --> 00:00:47,750
+Reflection ولما أجينا هنتكلم على الـ Scaling أو على
+
+9
+00:00:47,750 --> 00:00:51,750
+الـ Transforms بشكل عام حاولنا نوجد مصفوفات لكن
+
+10
+00:00:51,750 --> 00:00:55,950
+المصفوفات لما كانت المعادلة العامة تبعتي X prime
+
+11
+00:00:55,950 --> 00:01:06,090
+بتتساوي A X زائد B Y زائد E Y prime بتتساوي C في X
+
+12
+00:01:06,090 --> 00:01:11,090
+زائد D في Y زائد F بقولنا الـ E والـ F دول
+
+13
+00:01:11,090 --> 00:01:14,190
+المعاملات الـ Translation المعاملات الإزاحة 
+
+14
+00:01:15,600 --> 00:01:22,560
+وبالتالي أنا مصفوفة فعليًا تبعت 2 في 2 A B C D هذه
+
+15
+00:01:22,560 --> 00:01:27,140
+لما أضربها في X و Y بحصل على النقطة الجديدة لكن
+
+16
+00:01:27,140 --> 00:01:31,140
+قلنا إن هذا الـ Translation كواحدة من الـ
+
+17
+00:01:31,140 --> 00:01:34,580
+Transforms الأساسية مش موجودة في معادلة أو في
+
+18
+00:01:34,580 --> 00:01:39,280
+مصفوفة بالحجم هذا فاتكلمنا على الـ homogeneous
+
+19
+00:01:39,280 --> 00:01:42,320
+coordinate قلنا homogeneous coordinate يعني لأي
+
+20
+00:01:42,320 --> 00:01:51,390
+نقطة X و Y هلاّ جي X و Y و 1 تمام هذه على الأقل هي 
+
+21
+00:01:51,390 --> 00:01:57,130
+homogeneous coordinate لأنها تخضع للقانون X T Y و 
+
+22
+00:01:57,130 --> 00:02:01,550
+T و T لأن اتفقنا أن أي Point بالشكل هذا هي 
+
+23
+00:02:01,550 --> 00:02:06,710
+homogeneous بحيث أنه لما بأخذ X T يعني تقسيم T X
+
+24
+00:02:06,710 --> 00:02:11,710
+بتديه المعامل الأول Y T تقسيم T بتديني الـ Y طب وأنا
+
+25
+00:02:11,710 --> 00:02:16,690
+جيت على هدول X على واحد X و Y على واحد وكانت هذه
+
+26
+00:02:16,690 --> 00:02:21,290
+الـ homogeneous point تبعتي X و Y و 1 هي الأساس
+
+27
+00:02:21,290 --> 00:02:25,530
+اللي أنا بنيت عليه المصفوفة تبعتي بحيث صارت
+
+28
+00:02:25,530 --> 00:02:35,660
+المصفوفة بشكل أكبر A B E C و D و F عفواً صفر وصفر و
+
+29
+00:02:35,660 --> 00:02:40,560
+واحد هذه المصفوفة بدي اضربها في X و Y و 1
+
+30
+00:02:40,560 --> 00:02:46,460
+بتعطيني homogeneous coordinate للنقبة الجديدة اللي 
+
+31
+00:02:46,460 --> 00:02:51,860
+هي X prime Y prime و 1 لو أنا سألتك في لحظة من
+
+32
+00:02:51,860 --> 00:02:56,160
+اللحظات إيش النقطة الجديدة بفليش الواحد منهم X
+
+33
+00:02:56,160 --> 00:02:59,120
+prime Y prime تمام 
+
+34
+00:03:02,400 --> 00:03:06,920
+و أسقطنا هذا الكلام لما جينا نتكلم في الـ 3D لما 
+
+35
+00:03:06,920 --> 00:03:11,100
+جينا في الـ 3D هتزيد عندي معادلة جديدة إلى معادلة
+
+36
+00:03:11,100 --> 00:03:15,780
+بالـ Z بحيث أنه أصبحت المعادلات اللي عندي أنا بشكل
+
+37
+00:03:15,780 --> 00:03:25,180
+عام X prime بتتساوي A X زائد B في Y زائد C في Z زائد E 
+
+38
+00:03:25,180 --> 00:03:34,850
+D مش قوية كتير Y prime بتتساوي E في X زائد F في Y
+
+39
+00:03:34,850 --> 00:03:40,910
+زائد H في Z زائد
+
+40
+00:03:40,910 --> 00:03:52,550
+I Z برايم هتساوي J في X زائد I في Y K في Z زائد
+
+41
+00:03:52,550 --> 00:03:57,410
+L الآن هذه المعادلات هي فعليًا 3 في 3 إذا
+
+42
+00:03:57,410 --> 00:04:04,050
+أنا بدي أستثني الـ Translation لكن عشان أحولها لـ 4 في 4
+
+43
+00:04:04,050 --> 00:04:07,130
+وضمن الـ Translation لـ الـ Matrix تبعتي عملت
+
+44
+00:04:07,130 --> 00:04:12,570
+homogeneous coordinates لنقطة تبعتي X و Y و Z
+
+45
+00:04:12,570 --> 00:04:18,470
+كانت الـ homogeneous coordinate تبعتها X Y Z و 1 و 
+
+46
+00:04:18,470 --> 00:04:22,230
+بناءً على الـ homogeneous coordinates هاي أصبحت
+
+47
+00:04:22,230 --> 00:04:25,350
+النقطة الـ homogeneous point أصبحت المصفوفة تبعتي 4 
+
+48
+00:04:25,350 --> 00:04:26,790
+في 4
+
+49
+00:04:31,720 --> 00:04:46,920
+A B C E D F G H I J K L 
+
+50
+00:04:47,450 --> 00:04:57,710
+كل صفر صفر صفر واحد بقى ضربها في X Y و Z واحد عشان
+
+51
+00:04:57,710 --> 00:05:03,070
+تعطيهم homogeneous point X prime Y prime Z prime
+
+52
+00:05:03,070 --> 00:05:08,180
+والواحد هذه المعادلات اللي أنا قبّلتها فيها المصفوفة
+
+53
+00:05:08,180 --> 00:05:12,600
+اللي موجودة عندي الآن بنمر على بشكل سريع على الـ
+
+54
+00:05:12,600 --> 00:05:16,520
+3D Transformation بناءً على المصفوفة والمعادلة اللي 
+
+55
+00:05:16,520 --> 00:05:22,220
+موجودة عندي لو أنا بدي .. أو أنا أجيت وقلت لك هاي
+
+56
+00:05:22,220 --> 00:05:26,560
+المحاور تبعتها اللي هذول الـ LCD الـ X Axis والـ Y
+
+57
+00:05:26,560 --> 00:05:31,660
+Axis والـ Z Axis بتجاهك وقلت لك هاي الجملة هذه بتمثل 
+
+58
+00:05:31,660 --> 00:05:37,220
+نقطة في الـ 3D Space لما أنا بدي أعمله إزاحة بالشكل
+
+59
+00:05:37,220 --> 00:05:43,480
+هذا الإزاحة كانت على الـ X وعلى الـ Y وعلى الـ Z لأن
+
+60
+00:05:43,480 --> 00:05:47,160
+كان هنا طيب قريب من الـ O قريب من الـ X قريب من الـ Y
+
+61
+00:05:47,160 --> 00:05:51,940
+وقريب من الـ Z الآن أنا أزحته بالشكل هذا وبالتالي
+
+62
+00:05:51,940 --> 00:05:55,840
+كانت الـ Translation على كل المحاور اللي موجودة
+
+63
+00:05:55,840 --> 00:06:00,720
+عندي وبالتالي أنا ممكن أشتغل بنفس المنطق السابق
+
+64
+00:06:01,630 --> 00:06:04,070
+اللي احنا شفناه لما أنا بدي أتكلم على Scaling
+
+65
+00:06:04,070 --> 00:06:11,510
+كذلك نفس الكلام هي معادلة الـ Translation بنقرأ على
+
+66
+00:06:11,510 --> 00:06:16,110
+الـ homogeneous coordinate أو ممكن نسميها الـ
+
+67
+00:06:16,110 --> 00:06:19,430
+homogeneous matrix اللي موجودة عندي هي Translation 
+
+68
+00:06:19,430 --> 00:06:22,490
+لما
+
+69
+00:06:22,490 --> 00:06:27,850
+بدي أتكلم على Scaling X prime يتساوي SX في X Y 
+
+70
+00:06:27,850 --> 00:06:35,050
+prime يتساوي SY في Y Z' يتساوي SZ في Z وبالتالي إيه
+
+71
+00:06:35,050 --> 00:06:40,850
+الـ Scaling لما أنا بدي أتكلم على Arbitrary Point
+
+72
+00:06:40,850 --> 00:06:45,530
+إيش اللي هيختلف عندي لما بدي أثبت نقطة بقولت بكل
+
+73
+00:06:45,530 --> 00:06:49,350
+دفعة لما أنا بتكلم على Scaling عشان ما تنساش X'
+
+74
+00:06:49,690 --> 00:06:56,010
+يتساوي SX في X مظبوط؟ والنقطة اللي بدي أثبتها DX
+
+75
+00:06:56,010 --> 00:06:57,150
+BY
+
+76
+00:07:00,190 --> 00:07:08,330
+مباشرة بروح بقول هذا تساوي SX مضروبة في X ناقص BX
+
+77
+00:07:08,330 --> 00:07:14,470
+زائد BX واللي هي كانت محصلتها بدأت تساوي SX في X 
+
+78
+00:07:14,470 --> 00:07:22,490
+زائد BX في 1 ناقص SX وهيك أنا بقول ثبت النقطة
+
+79
+00:07:22,490 --> 00:07:29,280
+اللي موجودة عندي أو ثبتت الـ Scaling لنقطة BX و
+
+80
+00:07:29,280 --> 00:07:32,080
+BY زي ما شوفنا المرة الماضية ونفس الكلام
+
+81
+00:07:32,080 --> 00:07:35,700
+حامله على الـ other coordinates الـ X prime والـ Y
+
+82
+00:07:35,700 --> 00:07:39,880
+prime بنفس المنطقة وبالتالي هي أصبحت المعادلة اللي
+
+83
+00:07:39,880 --> 00:07:43,500
+عندي هي الـ Factor الخاص بالـ Scaling وهذا الـ
+
+84
+00:07:43,500 --> 00:07:47,740
+factor الخاص بالـ Translation بالـ Factor الخاص بالـ
+
+85
+00:07:47,740 --> 00:07:51,500
+Translation وبالتالي المعادلة تبعتي أو الـ
+
+86
+00:07:51,500 --> 00:07:54,900
+Homogeneous Matrix تبعتي لحد كل Scaling تبعًا لـ
+
+87
+00:07:54,900 --> 00:08:09,680
+Arbitrary Point Sx 0 0 Bx 1-Sx 0 Sy 0 By 1-Sy نطبق 
+
+88
+00:08:09,680 --> 00:08:13,420
+نفس الكلام عند الـ Y ونفس الكلام عند الـ Z وبكون
+
+89
+00:08:13,420 --> 00:08:18,470
+حصلت على الـ Scaling تبعًا لـ Arbitrary Point فيما
+
+90
+00:08:18,470 --> 00:08:22,630
+يتعلق في موضوع الـ Rotation اتفقنا أن الـ Rotation
+
+91
+00:08:22,630 --> 00:08:33,090
+لما أنا بأتكلم على Rotation في الـ 2D أنا
+
+92
+00:08:33,090 --> 00:08:41,990
+بتكلم على X و Y وأنا عندي نقطة هيها PX و PY هي 
+
+93
+00:08:41,990 --> 00:08:45,820
+النقطة تبعتي الآن إذا أنا بدأت أقول اعمل Rotation
+
+94
+00:08:45,820 --> 00:08:50,720
+للزاوية هاي أو اعمل Rotation للنقطة هذه بمقدار 45
+
+95
+00:08:50,720 --> 00:08:54,360
+درجة أو بمقدار ثيتا بعمل Rotation للنقطة هذه بمقدار
+
+96
+00:08:54,360 --> 00:09:02,320
+ثيتا المفروض يا شباب احنا عندنا النقطة هذه عاملة زاوية 
+
+97
+00:09:02,320 --> 00:09:08,040
+أساس نسميها Beta أو عشان ما نخرب بكاش نقول هذه
+
+98
+00:09:08,040 --> 00:09:11,940
+الزاوية الأساسية Theta وأنا مطلوب أن أعمل Rotation
+
+99
+00:09:11,940 --> 00:09:18,100
+بمقدار Beta 45 درجة أكدنا على المبدأ أن الـ
+
+100
+00:09:18,100 --> 00:09:21,540
+Rotation للنقطة هذه لا أبدأش عدد من الصفر أبدأ عدد
+
+101
+00:09:21,540 --> 00:09:28,320
+من الـ current position يعني Beta بتيجي هنا هذه 
+
+102
+00:09:28,320 --> 00:09:28,960
+الزاوية Beta
+
+103
+00:09:32,170 --> 00:09:36,990
+45، 30، 20 حسب فبيستقيم إلى قيمة لحالها وقلنا الـ
+
+104
+00:09:36,990 --> 00:09:40,590
+Rotation دائماً نصف القطر فيه ثابت لأن أنا بتكلم عن
+
+105
+00:09:40,590 --> 00:09:43,870
+نقطة بدي أعمله Rotation معناته هي عبارة عن جزء من
+
+106
+00:09:43,870 --> 00:09:51,130
+من دائرة وبالتالي هي النقطة الجديدة اللي هي PBX
+
+107
+00:09:51,130 --> 00:09:57,540
+prime و PY prime النقطة تبعتي طيب مقدار الـ Rotation
+
+108
+00:09:57,540 --> 00:10:01,460
+هذا احنا شوفنا المعادلة اللي اشتغلنا فيها ووصفت 
+
+109
+00:10:01,460 --> 00:10:08,620
+معايا أن X prime حسب المعادلة هذه تساوي X في
+
+110
+00:10:08,620 --> 00:10:16,960
+Cosine Beta ناقص Y في Sine الـ Beta الـ Y prime بدها 
+
+111
+00:10:16,960 --> 00:10:26,590
+تساوي X في Sine Beta زائد Y Cosine الـ Beta مصبور؟
+
+112
+00:10:26,590 --> 00:10:30,970
+لأن لما أنا بدي أطلع للـ 3D هصير في عندي محور ثالث 
+
+113
+00:10:30,970 --> 00:10:36,330
+الـ Z-axis هاي الجملة لما أنا بدي أعمل Rotation
+
+114
+00:10:36,330 --> 00:10:40,830
+بطلت الـ Rotation باتجاه واحد صارت الـ Rotation ممكن 
+
+115
+00:10:40,830 --> 00:10:45,490
+تكون بأي اتجاه ما بين المحاور الثلاث اللي موجودة 
+
+116
+00:10:45,490 --> 00:10:51,670
+عندي وبنفس المنطق السابق بدينا نتكلم أن أنا في
+
+117
+00:10:51,670 --> 00:10:57,800
+هنا فعليًا أنا بتكلم على الـ Rotation بين ثلاث أو بين
+
+118
+00:10:57,800 --> 00:11:02,840
+ثلاث محاور بوجود الثلاث محاور أنا بدي أسأل نفسي
+
+119
+00:11:02,840 --> 00:11:07,700
+الزاوية تبعتي لما بدي أعملها Rotation الآن أو عفواً
+
+120
+00:11:07,700 --> 00:11:12,380
+النقطة تبعتي لما أنا بدي أحركها بين أي محورين أو 
+
+121
+00:11:12,380 --> 00:11:18,620
+بدي أعملها دوران بين أي محورين الآن تخيل إيه؟ لأن
+
+122
+00:11:18,620 --> 00:11:24,050
+هي 3D object موجود قدامي وأنا بدي أعمله Rotation هو
+
+123
+00:11:24,050 --> 00:11:29,750
+في احتمال أن أعمل Rotation بين الـ X والـ Y مصبوط أو
+
+124
+00:11:29,750 --> 00:11:37,430
+بين Y و Z أو X و Z فأنت الآن هذه المحاور الثلاث
+
+125
+00:11:37,430 --> 00:11:42,550
+بدك تحددها بشكل واضح الآن إذا كان والله أنا بدي
+
+126
+00:11:42,550 --> 00:11:48,750
+أثبت أو الدوران تبعي حولين الـ Z axis يعني الـ Z مش
+
+127
+00:11:48,750 --> 00:11:53,580
+هصير عليه تغيير نفس القانون السابق كمان مرة لما
+
+128
+00:11:53,580 --> 00:11:59,280
+قعدت بدي أجي أقول Rotate about الـ Z axis يعني الـ
+
+129
+00:11:59,280 --> 00:12:03,420
+X والـ Y .. الدوران ما بين X و Y لما بدي أجي أقول
+
+130
+00:12:03,420 --> 00:12:08,880
+دوران تبع للـ X axis الدوران بين Y و Z لما بدي أجي
+
+131
+00:12:08,880 --> 00:12:14,020
+أقول دوران تبع للـ Y axis الدوران بين Z و X فهذا
+
+132
+00:12:14,020 --> 00:12:17,040
+الكلام بدي أنت تنتبه له بشكل كويس وبالتالي
+
+133
+00:12:17,040 --> 00:12:20,240
+المعاملات تبعتي اللي هتختلف هيها بالشكل هذا
+
+134
+00:12:21,670 --> 00:12:25,970
+Rotation تبع للـ X Axis X ثابتة هي صارت فيهم دي 
+
+135
+00:12:25,970 --> 00:12:33,010
+قانون الـ Y قانون نفس القانون بس ترتيبهم الآن
+
+136
+00:12:33,010 --> 00:12:38,430
+وانتبه من المعادلة كمان لكن
+
+137
+00:12:38,430 --> 00:12:43,650
+لما أنا بدي أجي أقول دوران تبع للـ Y Axis اختلفت
+
+138
+00:12:43,650 --> 00:12:47,950
+معايا شغلة واحدة بس يا شباب أنت تتذكر لما قلنا
+
+139
+00:12:47,950 --> 00:12:55,310
+بنعمل الدوران بين I و J Okay أنا بدي أشغل عكس على
+
+140
+00:12:55,310 --> 00:12:58,770
+قارب الساعة ولما أنا بدي أجمع X و Y مع بعض
+
+141
+00:12:58,770 --> 00:13:04,370
+الدوران تبعي حيصير مع قارب الساعة بس هتختلف معاه
+
+142
+00:13:04,370 --> 00:13:12,990
+الترتيب X' يتساوى Z لاحظ Z في Sine Beta زائد X في
+
+143
+00:13:12,990 --> 00:13:18,660
+Cosine Beta اللي هو القرار السابق تبقى تلو الأنزد
+
+144
+00:13:18,660 --> 00:13:23,220
+برايند يتساوي زد في كزايل لاقص يعني بس بتدلني
+
+145
+00:13:23,220 --> 00:13:29,760
+الإشارة تبع السالب ال X والY ال X والZ بس في ال Z
+
+146
+00:13:29,760 --> 00:13:33,620
+أما بين ال X والY و بين ال Z والY ماكانش في عندي
+
+147
+00:13:33,620 --> 00:13:42,080
+أي مشكلة وبما أن هذه القوانين الدوران تباعهم مهمة و
+
+148
+00:13:42,080 --> 00:13:45,480
+يطبق في كل ال animation حتما إلا شوفت animation
+
+149
+00:13:45,480 --> 00:13:50,660
+اللاعب الكورة بيجري و وجعك تمام؟ أو والله طيارة و
+
+150
+00:13:50,660 --> 00:13:55,000
+سقطت لما تيجي تفجع الطيارة بتلاقيها .. تقول ايش
+
+151
+00:13:55,000 --> 00:13:59,840
+تقول يا .. كابتن ماجد بيلوف أربع خمس لفات في
+
+152
+00:13:59,840 --> 00:14:03,060
+الهواء بكل الاتجاهات قبل ما يقدروا بالكورة الآن
+
+153
+00:14:03,060 --> 00:14:07,000
+تبقى أن ال 3D هي .. تخيل الطيارة هي مجسم 3D الآن
+
+154
+00:14:07,000 --> 00:14:16,510
+هي مجسم 3D الـ Y والـ X والـ Z فيك تتخيل الآن فعليا
+
+155
+00:14:16,510 --> 00:14:21,910
+الطيارة تبعد لأي محور ممكن تعمل rotation الآن إذا
+
+156
+00:14:21,910 --> 00:14:30,850
+كنت بتكلم الدوران ما بين X Y بدي أسميه roll والـ X 
+
+157
+00:14:30,850 --> 00:14:34,770
+الـ Z axis هو الثابت اللي عندي يعني هو كأنه أنا
+
+158
+00:14:34,770 --> 00:14:41,120
+ثبتت الـ Z مسكته مكانه وصار فيه end of rotation بين
+
+159
+00:14:41,120 --> 00:14:46,780
+ال X و ال Y ال patch لما يكون about ال X axis يعني
+
+160
+00:14:46,780 --> 00:14:55,740
+أنا ثبت ال X و قلت الدوران بين ال Y و ال Z لما أنا
+
+161
+00:14:55,740 --> 00:15:00,840
+بده أقول حوالين ال Y axis ال Yار تمام معناته بين
+
+162
+00:15:00,840 --> 00:15:08,700
+ال X و ال Z وبالتالي بمجرد أنا قاعد أقول اعمل دوران
+
+163
+00:15:08,700 --> 00:15:11,400
+لنقطة .. لأن في الـ 3D مش هاروح أقولك تبقى على الـ
+
+164
+00:15:11,400 --> 00:15:16,860
+X axis الآن في الـ 3D يا شباب مش هاروح أقولك اعمل
+
+165
+00:15:16,860 --> 00:15:23,120
+rotate بزاوية مقدارها كذا هاروح أقولك اعمل roll
+
+166
+00:15:23,120 --> 00:15:30,160
+rotation أو اعمل roll بمقدار 30 درجة مباشرة لما
+
+167
+00:15:30,160 --> 00:15:36,370
+أقول roll معرفش تثبت الـ Z والدوران بين X وY لو
+
+168
+00:15:36,370 --> 00:15:45,150
+قلتلك أروح اعمل Y بتلاتين درجة أو مباشرة
+
+169
+00:15:45,150 --> 00:15:50,570
+تثبت ال Y والدوران بين X وY عشان أسهل عليك حفظ
+
+170
+00:15:50,570 --> 00:15:58,630
+المصفوفة هذه تمام احنا عادة بجينا نكتب Cosine بيتا
+
+171
+00:15:58,630 --> 00:16:06,630
+مظبوط لقينة الزاوية بغض النظر Cos-Sin Beta وهنا صفر
+
+172
+00:16:06,630 --> 00:16:17,750
+في الـ 2D مظبوط هنا Sin Beta Cos Beta صفر صفر صفر
+
+173
+00:16:17,750 --> 00:16:24,010
+واحد الآن نفس الترتيب هذا مش هيتغير لا مع ال roll
+
+174
+00:16:24,010 --> 00:16:27,910
+ولا مع ال pitch هيتغير وين عند الياه فقط
+
+175
+00:16:35,740 --> 00:16:39,780
+بس إشارتي السالب حقها وين؟ تحت وطبعا ماتنساش
+
+176
+00:16:39,780 --> 00:16:42,780
+المحور يعني بين جثين لأن أنا بتتكلم على rotation
+
+177
+00:16:42,780 --> 00:16:51,240
+على الـYaw بتتكلم بصوفة أربعة في أربعة متفقين
+
+178
+00:16:51,240 --> 00:16:56,380
+احنا الصف الأخير صفر صفر صفر واحد والعمود الأخير
+
+179
+00:16:56,380 --> 00:17:11,630
+طبعا الان Yaw يعني X و Z كوزاين بيتا صفر صين بيتا
+
+180
+00:17:11,630 --> 00:17:23,130
+مش سالب الان تمام صفر الان
+
+181
+00:17:23,130 --> 00:17:30,370
+صفر واحد صفر صفر ليش الواحد لأن بقولنا قيمة ال Y
+
+182
+00:17:30,370 --> 00:17:40,480
+مش هتتغير ثابتة الان ماقصسين بيتا صفر كزاين بيتا
+
+183
+00:17:40,480 --> 00:17:46,620
+صفر بس اللي فرجت معاك يعني تخيل عند ال y عند ال y
+
+184
+00:17:46,620 --> 00:17:51,580
+الترتيب بده يكون عند ايش؟ بشكل عمود يعني بس السالب
+
+185
+00:17:51,580 --> 00:17:54,320
+المبدأ اللي موجود فوق في الصف بده تكون عند فيه
+
+186
+00:17:54,320 --> 00:17:58,740
+العمود لأنه شوف هاي هان هان هاي ال sign في نفس
+
+187
+00:17:58,740 --> 00:18:03,500
+الصف و هذا قلنا لك لأن المحاور فعليا الدوران يكون
+
+188
+00:18:03,500 --> 00:18:09,900
+عندي دوران عكسي الآن
+
+189
+00:18:09,900 --> 00:18:16,940
+لو كان عندي 3D object مكعب
+
+190
+00:18:16,940 --> 00:18:20,700
+زي ما في فيلم transformers و بدهم يلجفون بعض
+
+191
+00:18:20,700 --> 00:18:27,060
+المكعب ده بنعزج من مكان لمكان كم مرة بدهم يعمل
+
+192
+00:18:27,060 --> 00:18:33,530
+rotation بأي اتجاه كل اتجاهات ولا لأ؟ الآن يعني
+
+193
+00:18:33,530 --> 00:18:38,030
+بدون يعملوا rotation ل roll و rotation ل pitch و
+
+194
+00:18:38,030 --> 00:18:41,670
+rotation ل yaw طب كده أنا بدي أعملهم كلهم مع بعض
+
+195
+00:18:41,670 --> 00:18:45,850
+ماتنساش هم بدي أعملهم بالتدريج واحد ورا الثاني ورا
+
+196
+00:18:45,850 --> 00:18:49,410
+التالت هو عبارة عن ضرب المصفوفات الآن يعني الآن لو
+
+197
+00:18:49,410 --> 00:18:54,810
+أنا أجيب و قلتلك اعمل rotation ل ال 3D object بحيث
+
+198
+00:18:54,810 --> 00:19:00,340
+أن yaw تلاتين yaw تلاتين وال pitch تلاتين وال
+
+199
+00:19:00,340 --> 00:19:03,340
+role تلاتين وال role تلاتين شو راح تروح تساوي
+
+200
+00:19:03,340 --> 00:19:10,760
+مباشرة هاي تلاتينها هاي x y زمت في واحد هذا prime
+
+201
+00:19:10,760 --> 00:19:16,580
+prime prime equal أول ما تبدأ ابدأ مع ال role
+
+202
+00:19:16,580 --> 00:19:22,180
+Cosine تلاتين ماؤس
+
+203
+00:19:22,180 --> 00:19:31,970
+Sin تلاتين صفر صفر Sin التلاتين Cosine تلاتين صفر
+
+204
+00:19:31,970 --> 00:19:37,810
+صفر صفر صفر واحد صفر صفر صفر صفر صفر صفر صفر صفر
+
+205
+00:19:37,810 --> 00:19:38,310
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+206
+00:19:38,310 --> 00:19:44,190
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+207
+00:19:44,190 --> 00:19:48,710
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+208
+00:19:48,710 --> 00:19:55,370
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صمصبور Cos 30
+
+209
+00:19:55,370 --> 00:20:02,430
+-Sin 30 ليش؟
+
+210
+00:20:02,430 --> 00:20:14,130
+هذه بيكون صفر لأنه بالواي يزد صفر Cos 30 -Sin 30
+
+211
+00:20:14,130 --> 00:20:18,870
+صفر الآن
+
+212
+00:20:18,870 --> 00:20:20,890
+صفر
+
+213
+00:20:22,020 --> 00:20:37,640
+Sin 30 Cos 30 0 0 0 1 الأخيرة Cos 30 تحتها صفر
+
+214
+00:20:37,640 --> 00:20:52,960
+ناقص Sin 30 0 0 1 0 0 سين تلاتين صفر كزين تلاتين
+
+215
+00:20:52,960 --> 00:21:05,860
+صفر صفر صفر صفر واحد ضرب اكس واي زد واحد يحد
+
+216
+00:21:05,860 --> 00:21:09,800
+يقول هذا المعادلة جداش بدها حسبة هتكون صعبة احنا
+
+217
+00:21:09,800 --> 00:21:14,860
+لما نتكلم عن حسبة تستخدم ال calculator نعم بتاخد
+
+218
+00:21:14,860 --> 00:21:19,000
+منك واجهة واجهة طويلة كمان لأنك بتضرب كل مصوفة زي
+
+219
+00:21:19,000 --> 00:21:22,660
+ما شوف أن هي عبارة عن different أو followed up
+
+220
+00:21:22,660 --> 00:21:25,660
+translation، transformation لكن لما أنا بتتكلم أن
+
+221
+00:21:25,660 --> 00:21:29,260
+ال computer هو اللي بنفذها عنك بس كل اللي عليك
+
+222
+00:21:29,260 --> 00:21:34,900
+تحدد المصوفة اللي هي تمام بتزوده بالزاوية لأن هذا
+
+223
+00:21:34,900 --> 00:21:39,140
+القانون يُكتب لمرة واحدة بس المتدير عندك قيمة
+
+224
+00:21:39,140 --> 00:21:41,520
+الزاوية وبالتالي ال execution أو الحساب تبعتك
+
+225
+00:21:41,520 --> 00:21:50,650
+هتكون أسهل بكثير تمام يا شباب؟ طيب الآن لما أنا
+
+226
+00:21:50,650 --> 00:21:53,410
+بتتكلم على transformation كل كلامنا السابق كان
+
+227
+00:21:53,410 --> 00:21:58,770
+transformation ل object وبين جسين كنت بعمل
+
+228
+00:21:58,770 --> 00:22:01,650
+transformation لل object في ال 3D أو في ال 2D
+
+229
+00:22:01,650 --> 00:22:04,470
+shapes بما أن أنا على النقطة يعني باخد النقطة و
+
+230
+00:22:04,470 --> 00:22:08,590
+بعملها transformation مظبوط؟ طيب لما أنا بتكلمك
+
+231
+00:22:08,590 --> 00:22:15,060
+على ال vector يعني الأقل لو كان فيه position vector
+
+232
+00:22:15,060 --> 00:22:21,000
+ايش
+
+233
+00:22:21,000 --> 00:22:25,280
+يعني position vector يا شباب position vector فيه
+
+234
+00:22:35,030 --> 00:22:39,850
+معناته بدأ من النقطة الأصل لو أنا إجيت قلتلك بدي
+
+235
+00:22:39,850 --> 00:22:45,790
+أعمل لـ vector هذا translation بمقدار خمسة على ال
+
+236
+00:22:45,790 --> 00:22:51,770
+X axis و اتنين على ال Y axis في مجال؟ آه في مجال،
+
+237
+00:22:51,770 --> 00:22:56,510
+ايش اللي بده يتغير أساسا؟ يعني ال vector نفسه بده
+
+238
+00:22:56,510 --> 00:22:59,750
+ينزح لما أنا بدي أقولك بدي أعمل له rotation لل
+
+239
+00:22:59,750 --> 00:23:04,580
+vector هذا معناه تهيي ال vector لورا أو لقدام ولو
+
+240
+00:23:04,580 --> 00:23:07,720
+كان في الـ 3D بنفس المنطقة اللي احنا بنتكلم عليه
+
+241
+00:23:07,720 --> 00:23:13,200
+لو أنا بدي أعمله reflection انعكاس على ال X axis
+
+242
+00:23:13,200 --> 00:23:20,820
+ال Y axis أو ال X axis تمام؟ أو حسب نقطة الأصل أو
+
+243
+00:23:20,820 --> 00:23:26,780
+انعكاس حسب نقطة معينة فالآن ايش اللي هيتغير عندي؟
+
+244
+00:23:26,780 --> 00:23:29,440
+ايش اللي هيتغير عندي؟ أن أنا كنت بتعامل مع نقطة
+
+245
+00:23:33,110 --> 00:23:35,250
+الآن بيصير أتعامل معانا قطعين اللي هو بمثل ال
+
+246
+00:23:35,250 --> 00:23:39,590
+vector طيب أو بين جثين شابه أو تلاتة زي ما أنا
+
+247
+00:23:39,590 --> 00:23:47,090
+بتكلمها بس في الآخر لما كنت أنا بتكلم على x و y و
+
+248
+00:23:47,090 --> 00:23:56,890
+z و 1 مش أنا فعليا بتكلم على vector x y z vector
+
+249
+00:23:56,890 --> 00:24:03,740
+مظبوط كل الفكرة عندي أن أحدد مصفوفة لـ Transforms
+
+250
+00:24:03,740 --> 00:24:07,380
+ومش هتفرج معايا بعد هي كده أنا بتكلم عليه لأن احنا
+
+251
+00:24:07,380 --> 00:24:12,200
+اتفقنا في ال vector هذه هي عبارة عن Delta X Delta
+
+252
+00:24:12,200 --> 00:24:20,560
+Y Delta Z هاي ال vector component مظبوط وبناء
+
+253
+00:24:20,560 --> 00:24:24,100
+أنا عليه أنا التعامل مش هيتغير ولا حاجة تقولي بدي
+
+254
+00:24:24,100 --> 00:24:27,160
+اعمل transformation ل vector ولا بدي اعمل
+
+255
+00:24:27,160 --> 00:24:32,490
+transformation لنقطة بنفس ال concept بدون اي تغيير
+
+256
+00:24:32,490 --> 00:24:36,670
+طيب بما أنه بتكلم على delta X و delta Y مياته ايه
+
+257
+00:24:36,670 --> 00:24:40,650
+ال vector تبعي الفرق بين النقطين مياته بحط الفرق
+
+258
+00:24:40,650 --> 00:24:44,890
+بين النقطين الموجودات اللي عندي هان واحد ناقص واحد
+
+259
+00:24:44,890 --> 00:24:49,610
+هتصير صفر مظبوط وكأنه ال vector تبعي في الاتجاه
+
+260
+00:24:49,610 --> 00:24:55,410
+الرابع مش موجود مالوش قيمة مظبوط وبالتالي فعليا
+
+261
+00:24:55,410 --> 00:25:00,580
+أنا صار ال vector تبعي بشكل صحيح وبالتالي هذه
+
+262
+00:25:00,580 --> 00:25:03,720
+الصفر كمان هتبطلها لازم عندي عشان ال homogenous
+
+263
+00:25:03,720 --> 00:25:07,940
+coordinate خلاص لازم ده القيمة القيمة اللي هان هي
+
+264
+00:25:07,940 --> 00:25:11,660
+نفسها القيمة اللي موجودة عندها واضحة الأمور يا
+
+265
+00:25:11,660 --> 00:25:16,380
+شباب يعني كمان مرة أنا انتقالي من ال transforms
+
+266
+00:25:16,380 --> 00:25:22,060
+اللي كنت بعملها لنقطة واحدة أو لل object أو لل
+
+267
+00:25:22,060 --> 00:25:27,030
+shape في ال 2D هي نفس اللي هتنتقل لما أنا أتكلم على
+
+268
+00:25:27,030 --> 00:25:33,190
+transformation لل vector مع استبدال الواحد الواحد
+
+269
+00:25:33,190 --> 00:25:38,970
+في ال homogeneous point بصفر ليش؟ للمنطق اللي
+
+270
+00:25:38,970 --> 00:25:45,310
+موجود عندي هنا أنا الآن ال vector محصور بين نقطين
+
+271
+00:25:45,310 --> 00:25:50,170
+من B1 ل B2
+
+272
+00:25:51,080 --> 00:26:00,240
+طبيعي Delta X بدأ تساوي X2 نقص X1 Delta Y Y2 نقص
+
+273
+00:26:00,240 --> 00:26:11,160
+Y1 Delta Z Z2 نقص Z1 الآن كل الشغل السابق أن كل
+
+274
+00:26:11,160 --> 00:26:16,400
+النقطة هذه X1 Y1 و Z1 اللي هم homogeneous
+
+275
+00:26:16,400 --> 00:26:20,840
+coordinate مظبوط؟ مع الواحد وهذه بتمثلها من ال
+
+276
+00:26:20,840 --> 00:26:28,160
+homogenous coordinate الثاني X2 Y2 Z2 و 1 فال
+
+277
+00:26:28,160 --> 00:26:31,020
+magnitude تبعتي ال vector أو تمثيل ال vector عندي
+
+278
+00:26:31,020 --> 00:26:38,780
+بتطلب مني أقوله واحد ناقص واحد يتساوي الصفر وبناء
+
+279
+00:26:38,780 --> 00:26:44,080
+عليه أنا صار في عندي ال vector تبعي ما تغيرش عليه
+
+280
+00:26:44,080 --> 00:26:45,540
+ولا حاجة 
+
+281
+00:26:51,510 --> 00:26:58,470
+بالمثال لأنها بتقول لي بدي 
+
+282
+00:26:58,470 --> 00:27:03,990
+أغير المحاور تبع الكاميرا الـ virtual camera تبعتي
+
+283
+00:27:03,990 --> 00:27:10,990
+بحيث إنه تعمل roll بمقدار 180 درجة و pitch بـ 90 و
+
+284
+00:27:10,990 --> 00:27:16,470
+yaw بـ 90 وتعمل كمان إزاحة يعني أنتَ تخيل النقطة
+
+285
+00:27:16,470 --> 00:27:21,270
+كانت هنا الكاميرا واقفة هنا تمام وبتصور مشهد الآن
+
+286
+00:27:21,270 --> 00:27:26,070
+الكاميرا بدها تجيب المشهد نفسه لكن من زاوية ثانية
+
+287
+00:27:26,070 --> 00:27:30,490
+من زاوية ثانية بما إنه أنا بتكلم في الـ 3D معناته 
+
+288
+00:27:30,490 --> 00:27:33,290
+الـ rotation تبع الزاوية أو تبع الكاميرا بيكون
+
+289
+00:27:33,290 --> 00:27:39,170
+في الـ 3D في الـ 3D لأن هو فعليًا لما احنا بنشوف في
+
+290
+00:27:39,170 --> 00:27:45,980
+الـ movie المكعب بيتغير أو بتتغير كل التصميم تبقى على 
+
+291
+00:27:45,980 --> 00:27:51,080
+الكمبيوتر أنا ما فيش عندي 3D بس إيش بغير؟ بغير الـ
+
+292
+00:27:51,080 --> 00:27:54,240
+site بغير الـ position تبعت الكاميرا عشان يعرض لي
+
+293
+00:27:54,240 --> 00:27:56,940
+الـ object أو الـ object check الـ object من مجزايا
+
+294
+00:27:56,940 --> 00:28:03,640
+ثانية طيب وبالتالي الآن بناءً أنا على الزوايا
+
+295
+00:28:03,640 --> 00:28:08,260
+اللي عندي يا شباب إيش اللي بيلزمني؟
+
+296
+00:28:08,260 --> 00:28:10,540
+بدي أحسب الـ sine والـ cosine لكل زاوية من الزوايا
+
+297
+00:28:10,540 --> 00:28:14,570
+اللي موجودة عندي هنا ولا لأ؟ طيب، الآن في عندي sin
+
+298
+00:28:14,570 --> 00:28:22,010
+تسعين وفي عندي cos تسعين وعندي sin الـ 180
+
+299
+00:28:22,010 --> 00:28:28,070
+وعندي cos الـ 180 انسى للقيم اللي موجودة
+
+300
+00:28:28,070 --> 00:28:31,430
+هنا القيم اللي موجودة دلوقت تركز عليها tx ty tz
+
+301
+00:28:31,430 --> 00:28:44,220
+tx2 ty المفروض بالعكس
+
+302
+00:28:44,220 --> 00:28:49,400
+مش مشكلة كتير طيب الآن المفروض لأن هذا المفروض الـ
+
+303
+00:28:49,400 --> 00:28:57,920
+translation هنا 2 وهذا صفر طيب الآن خلّيني أعدلها
+
+304
+00:28:57,920 --> 00:29:09,860
+مش مشكلة في الـ part التاني يا صاحبي المهم
+
+305
+00:29:09,860 --> 00:29:15,990
+الآن لما بدي أعوض الـ coordinate اللي هنا الشباب
+
+306
+00:29:15,990 --> 00:29:23,690
+كانت كوزين كوزين مين؟ رول كوزين الـ 180
+
+307
+00:29:23,690 --> 00:29:28,970
+كوزين الـ 180 كده الشباب سالب واحد
+
+308
+00:29:34,490 --> 00:29:39,830
+الآن كمان مرة رول رول يعني أنتَ بتتكلم coordination
+
+309
+00:29:39,830 --> 00:29:44,630
+بين cosine أو بين الـ X والـ Y فالقيم اللي موجودة
+
+310
+00:29:44,630 --> 00:29:47,570
+عندها وبالتالي المصفوفة تبعتها هذه هي بناءً على
+
+311
+00:29:47,570 --> 00:29:53,990
+القيم اللي موجودة هنا هنطبقها هنا المفروض الـ roll
+
+312
+00:29:53,990 --> 00:29:55,310
+هنطبقها 
+
+313
+00:29:59,680 --> 00:30:03,140
+على القيم اللي موجودة عندي لو كانت النقطة ما بين
+
+314
+00:30:03,140 --> 00:30:08,120
+كده في الآخر في الآخر المصفوفة الواحدة تبعتي أنا
+
+315
+00:30:08,120 --> 00:30:14,300
+هنا بما إنه ما فيش تعارض بين القيم اللي موجودة طيب
+
+316
+00:30:14,300 --> 00:30:20,360
+هنقولها سالب واحد بالدرجة الأولى مظبوط طيب pitch
+
+317
+00:30:20,360 --> 00:30:30,680
+بين X Y و Z والـ X والـ Y الـ X والـ Z الـ cosine تبعتي
+
+318
+00:30:30,680 --> 00:30:36,720
+التسعين صفر صفر لما بتروح تضربها في سالب واحد لما
+
+319
+00:30:36,720 --> 00:30:44,240
+تنساش يعني الآن بدك تتذكر المصفوفات كل قيمها أيوة
+
+320
+00:30:44,240 --> 00:30:50,460
+بدك تتذكر المصفوفات كلهم الثلاث الآن سالب واحد
+
+321
+00:30:50,460 --> 00:30:52,500
+مظبوط هذه بتاعة الـ roll
+
+322
+00:30:55,320 --> 00:31:01,440
+وين؟ طيب سالب واحد الـ sign الـ 180 يا شباب صفر
+
+323
+00:31:01,440 --> 00:31:06,680
+الصفر الـ translation ممكن نحطه في مصفوفة لحاله في
+
+324
+00:31:06,680 --> 00:31:16,240
+الآخر مظبوط؟ أي صفر؟ الآن الـ sign الـ 180 صفر الـ
+
+325
+00:31:16,240 --> 00:31:17,820
+cosine الـ 180 نقص
+
+326
+00:31:21,250 --> 00:31:24,070
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+327
+00:31:24,070 --> 00:31:24,530
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+328
+00:31:24,530 --> 00:31:24,950
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+329
+00:31:24,950 --> 00:31:26,930
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+330
+00:31:26,930 --> 00:31:31,870
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+331
+00:31:31,870 --> 00:31:40,510
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+332
+00:31:40,510 --> 00:31:45,750
+صفر صفر
+
+333
+00:31:45,750 --> 00:31:53,460
+صفر صفر صفر
+
+334
+00:31:53,460 --> 00:32:04,880
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+335
+00:32:04,880 --> 00:32:09,520
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+336
+00:32:09,520 --> 00:32:10,100
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+337
+00:32:10,100 --> 00:32:14,060
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+338
+00:32:14,060 --> 00:32:17,460
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+339
+00:32:17,870 --> 00:32:25,810
+صفر سالب واحد sign هذه الـ sign لأنّه سالب واحد سالب
+
+340
+00:32:25,810 --> 00:32:33,030
+الـ sign سالب الـ sign الآن sign وصفر طبعًا في اللي
+
+341
+00:32:33,030 --> 00:32:37,710
+بعدها في الآخر لما تبدأ تضرب كل العناصر هذه هتصفيها
+
+342
+00:32:37,710 --> 00:32:41,950
+هذه المسئولة تبع كل الـ transformation اللي احنا 
+
+343
+00:32:41,950 --> 00:32:47,920
+جاب اللحظة رمزناها يا شباب بالـ Q هي مجموعة الـ 
+
+344
+00:32:47,920 --> 00:32:52,220
+Matrix تبعت الـ Transformation للانضرارات في بعضها
+
+345
+00:32:52,220 --> 00:32:55,500
+وبالتالي
+
+346
+00:32:55,500 --> 00:33:01,420
+النقطة تبعتي اللي أنا بأتكلم عليها لو بدوا يديني
+
+347
+00:33:01,420 --> 00:33:04,520
+أي نقطة وين بدها تصير الـ position تبعت الكاميرا
+
+348
+00:33:04,520 --> 00:33:06,860
+كانت في النقطة الفلانية وصارت للنقطة الفلانية
+
+349
+00:33:06,860 --> 00:33:11,180
+بالتالي أنا بقدر بتكلم بقول لك هذه الـ point هذه الـ
+
+350
+00:33:11,180 --> 00:33:14,680
+transform للنقطة هي بيعني أنا بتكلم على الـ vector
+
+351
+00:33:14,680 --> 00:33:26,730
+هيّما بين النقطتين الموجودات هنا طيب ولا حاجة بس
+
+352
+00:33:26,730 --> 00:33:29,270
+أنتَ بتكون عرفت اتجاه الكاميرا أو الكاميرا وين الـ
+
+353
+00:33:29,270 --> 00:33:32,350
+position الجديد تبعتها as a vector لأنّ احنا اتفقنا
+
+354
+00:33:32,350 --> 00:33:35,850
+بين الكاميرا والـ object عليه بين الكاميرا والـ
+
+355
+00:33:35,850 --> 00:33:40,810
+object اللي عندي دائمًا vector مظبوط؟ الآن أنا غيرت
+
+356
+00:33:40,810 --> 00:33:45,470
+الـ position تبعت الكاميرا عملت rotation للكاميرا
+
+357
+00:33:45,470 --> 00:33:49,370
+بناءً على الـ roll والـ pitch والـ yaw معناته أنا
+
+358
+00:33:49,370 --> 00:33:52,530
+غيرت اتجاهها وهي عملت rotation للـ vector اللي
+
+359
+00:33:52,530 --> 00:33:55,390
+موجود بين الكاميرا والـ object فإمّا أكون حصلت على
+
+360
+00:33:55,390 --> 00:33:58,790
+الـ
+
+361
+00:33:58,790 --> 00:34:01,250
+object الجديد اللي موجود عندي بعد ما عملت له الـ
+
+362
+00:34:01,250 --> 00:34:05,650
+transformation بناءً على الـ Q اللي موجودة عالميًا
+
+363
+00:34:08,120 --> 00:34:11,040
+يعني هو كمان مرة يا شباب هذا السؤال لا يعدو 
+
+364
+00:34:11,040 --> 00:34:14,240
+لا يعدو عن كونه إن هو بيقول لك اعمل rotate أو
+
+365
+00:34:14,240 --> 00:34:19,680
+اعمل rotation لـ vector طب الـ vector وين هو موجود؟
+
+366
+00:34:19,680 --> 00:34:22,020
+موجود بين نقطة الكاميرا والـ object اللي والـ
+
+367
+00:34:22,020 --> 00:34:24,040
+face اللي بيصوره في الـ object زي ما شفنا في الـ
+
+368
+00:34:24,040 --> 00:34:27,120
+chapter الماضي فحدد لك point two points عشان
+
+369
+00:34:27,120 --> 00:34:30,020
+تجيب الـ vector اللي بينهم وتقدر تعمله rotation
+
+370
+00:34:30,020 --> 00:34:33,400
+بدي أعمل له rotation لأنّ الواحد هو أنا ما زلت
+
+371
+00:34:33,400 --> 00:34:37,320
+بتكلم على على الـ VIX القيمة الأخيرة صفر لأنّ أنا
+
+372
+00:34:37,320 --> 00:34:40,500
+بتكلم على vector هناك وما كنت بتكلم على كل نقطة
+
+373
+00:34:40,500 --> 00:34:43,380
+لكن هناك بتتكلم على الـ vector اللي موجود بينهم
+
+374
+00:34:43,380 --> 00:34:46,380
+وبالتالي أنا بعمل rotation للـ vector حسب الحاجة
+
+375
+00:34:46,380 --> 00:34:52,920
+وهيك بيقولوا احنا خلصنا الـ transformation في 3D
+
+376
+00:34:52,920 --> 00:34:58,100
+خلصنا الـ transformation في 3D كمان مرة الأمر ولا 
+
+377
+00:34:58,100 --> 00:35:02,780
+حاجة أفرج عن السابقة هي نفس الكلام بس الـ A نتبينه
+
+378
+00:35:02,780 --> 00:35:06,920
+لأنّه أنا بتكلم على الـ 3D وأصعبهم كانت كمان مرة في
+
+379
+00:35:06,920 --> 00:35:10,220
+الـ rotation أصعبهم كانت في الـ rotation لأنّه
+
+380
+00:35:10,220 --> 00:35:13,660
+بتكلم على الـ 3D معناته أنا بدي أتكلم على ثلاث
+
+381
+00:35:13,660 --> 00:35:17,800
+زوايا عالية للمحاول للدورانة بجوالك ثلاث زوايا
+
+382
+00:35:17,800 --> 00:35:21,280
+مختلفة وبالتالي بدك تعمل translation أو عفواً ل
+
+383
+00:35:21,280 --> 00:35:24,900
+transforms على الثلاث زوايا بالترتيب عشان تحصل على
+
+384
+00:35:27,340 --> 00:35:30,920
+وين؟ اللي أنا بدي احطه في الآخر بدي احطه كمصفوفة 
+
+385
+00:35:30,920 --> 00:35:35,660
+لحالها لما أجي أقوله هنا واحد صفر صفر 2
+
+386
+00:35:35,660 --> 00:35:42,000
+صفر واحد صفر 2 صفر صفر واحد صفر صفر صفر صفر
+
+387
+00:35:42,000 --> 00:35:47,280
+واحد لأن كل matrix مثلت الـ transforms لحالها
+
+388
+00:35:47,280 --> 00:35:53,940
+translation
+
+389
+00:35:53,940 --> 00:35:56,940
+yaw
+
+390
+00:35:57,430 --> 00:36:04,570
+pitch roll بظبط وبالتالي أنا بضرب هاي في الأول
+
+391
+00:36:04,570 --> 00:36:09,370
+بعدين بضرب الناتج التاني بعدين التالت بعدين بروح 
+
+392
+00:36:09,370 --> 00:36:14,130
+بعمل translation لكل لولا الناتج اللي موجود
+
+393
+00:36:14,130 --> 00:36:17,270
+عندي لأنّه كمان مرة بقدرش إن أروح أطبق كل 
+
+394
+00:36:17,270 --> 00:36:22,610
+transforms دفعة واحدة ما فيش الحل الآن هو عبارة عن
+
+395
+00:36:22,610 --> 00:36:25,860
+هاي الـ هاي الـ computation تبعتها تحسب الأولويات
+
+396
+00:36:25,860 --> 00:36:32,760
+هذه وهذه بنفس الحد وبينفع تضرب، هيك؟ آه، بينفع،
+
+397
+00:36:32,760 --> 00:36:36,060
+ما في مشكلة لأنّ المصفوفة 4×4 تضربها المصفوفة 4×4
+
+398
+00:36:36,060 --> 00:36:40,420
+الناتج 4×4 بتبقى لك ماشي لما تتقلص في الآخر
+
+399
+00:36:40,420 --> 00:36:47,760
+المصفوفة 4×4 تضربها 4×1 بيكون الناتج عندي 4×1 بس،
+
+400
+00:36:47,760 --> 00:36:51,320
+عشان هيكده أنا قلت لك هنا أو في الحل هذا أنا 
+
+401
+00:36:51,320 --> 00:36:55,440
+بحاجة لنعمل الـ transformations اللي عندي بشكل
+
+402
+00:36:55,440 --> 00:37:02,720
+مختلف الآن ممكن
+
+403
+00:37:02,720 --> 00:37:06,820
+السؤال تكون مختلف شويّة الآن أثناء الـ Rotation
+
+404
+00:37:06,820 --> 00:37:10,820
+الكاميرا بس اللي انتقلت ما تكلمش على any
+
+405
+00:37:10,820 --> 00:37:14,600
+scaling لو قلنا لك إن الكاميرا قربت من الـ Object
+
+406
+00:37:14,600 --> 00:37:18,860
+هذا يعني الـ Object بنعمله Scale إيش
+
+407
+00:37:18,860 --> 00:37:20,860
+الـ Transformation اللي أنا بدي أعملها؟ بدي أبوي
+
+408
+00:37:20,860 --> 00:37:24,400
+فيه كمان Transformation كمان Matrix اللي هي علاقة
+
+409
+00:37:24,400 --> 00:37:28,480
+في مين؟ بالـ Scale وبأرجع بأكد عليكم يا شباب هذا
+
+410
+00:37:28,480 --> 00:37:31,500
+الكلام أنت بس المطلوب منك تحدد الـ factors
+
+411
+00:37:31,500 --> 00:37:36,560
+والمعادلة هذه تُكتب لمرة واحدة لما أنا ما بكونش فيه
+
+412
+00:37:36,560 --> 00:37:40,880
+Hand Translation طيب
+
+413
+00:37:40,880 --> 00:37:44,460
+ماهي هذه هتكون العمود الأخير؟ صفر صفر صفر أو 
+
+414
+00:37:44,460 --> 00:37:47,260
+بينجوسيلة المصفوفة دي عبارة عن identity matrix
+
+415
+00:37:47,260 --> 00:37:51,220
+اللي هو فيها عناصر القطر الرئيسي تبعتها واحد لما
+
+416
+00:37:51,220 --> 00:37:55,120
+بتضربها في أي matrix من نفس الحجم بتبدأ الـ matrix
+
+417
+00:37:55,120 --> 00:38:00,540
+منها تتغير فضل الخدر عشان
+
+418
+00:38:00,540 --> 00:38:05,700
+الحل عشان 
+
+419
+00:38:05,700 --> 00:38:08,120
+الحل مديك أرقام
+
+420
+00:38:14,890 --> 00:38:23,630
+عشان تكرمها هلأ أي سؤال أي 
+
+421
+00:38:23,630 --> 00:38:28,090
+سؤال يا سيدي اعتبره زي ما هو بس تعال نحله الآن كمان
+
+422
+00:38:28,090 --> 00:38:32,410
+مرة يا شباب أقول لك الـ virtual camera تبعتي بدون
+
+423
+00:38:32,410 --> 00:38:37,450
+عملها rotation الـ virtual camera بدون عملها rotation
+
+424
+00:38:37,450 --> 00:38:40,870
+بمقدار .. الآن هذه البيانات الخاصة بالـ rotation
+
+425
+00:38:46,010 --> 00:38:51,630
+rotation يعني في عندي يا خضر دوران بين الـ X و الـ
+
+426
+00:38:51,630 --> 00:38:55,230
+Y في عنده rotation بين الـ Y و الـ Z وفي عنده
+
+427
+00:38:55,230 --> 00:38:59,490
+rotation بين الـ Z و الـ X ومش بس هيك بدون أعملها
+
+428
+00:38:59,490 --> 00:39:06,750
+كمان إزاحة translation بناء على الكلام السابق
+
+429
+00:39:06,750 --> 00:39:11,090
+القانون السابق احنا قلنا قبل شوية أن الأمر بسيط أن
+
+430
+00:39:11,090 --> 00:39:13,830
+في عندي بس زاويتين cos 180 يا شباب
+
+431
+00:39:16,590 --> 00:39:32,130
+cos 180 cos 180 كده؟ سالب واحد صفر الآن cos 90 صفر
+
+432
+00:39:32,130 --> 00:39:38,600
+cos 90 بواحد هدول هما القوانين اللي أنت هتستفيد
+
+433
+00:39:38,600 --> 00:39:42,740
+منهم المطلوب منك عشان تقدر تعمل rotation أنا بقول لك
+
+434
+00:39:42,740 --> 00:39:45,680
+بدي اختصر عليك السؤال وراح أقول لك بس هات لي الـ Q
+
+435
+00:39:45,680 --> 00:39:52,500
+matrix تبع الـ transformation تحط الأربع جنب بعض و
+
+436
+00:39:52,500 --> 00:39:59,740
+تضربهم الآن أد في مين؟ في اللي بدك إياه في اللي 
+
+437
+00:39:59,740 --> 00:40:03,960
+بدك إياه مش هتفرج معنا كثير بارد مصفوفة الآن اللي
+
+438
+00:40:03,960 --> 00:40:08,940
+بدو يصير الآن ابدأ بالـ translation بالـ translation
+
+439
+00:40:08,940 --> 00:40:14,140
+الـ translation بتقتضي الآن الـ translation يا خضر
+
+440
+00:40:14,140 --> 00:40:20,700
+تقدر تذكر المصوفة للـ translation كـ transform واحد
+
+441
+00:40:20,700 --> 00:40:24,380
+صفر صفر قيمة للـ translation عند الـ X
+
+442
+00:40:28,850 --> 00:40:36,230
+صفر واحد صفر صفر
+
+443
+00:40:36,230 --> 00:40:40,390
+صفر 
+
+444
+00:40:40,390 --> 00:40:48,710
+واحد صفر
+
+445
+00:40:48,710 --> 00:40:55,870
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+446
+00:40:55,870 --> 00:40:56,110
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+447
+00:40:56,110 --> 00:40:56,230
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+448
+00:40:56,230 --> 00:40:56,310
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+449
+00:40:56,310 --> 00:41:00,600
+صفر صفر صفر صفر صفر صفر صفر صفر  صفر يعني X و Y
+
+450
+00:41:00,600 --> 00:41:09,680
+بدينها بـ cos 180 سالب واحد سالب
+
+451
+00:41:09,680 --> 00:41:21,580
+ثاني 180 صفر صفر صفر الآن ثاني 180 صفر لا مش سالب
+
+452
+00:41:21,580 --> 00:41:31,460
+تنموجا cos 180 سالب واحد فيش سالب في الثانية في
+
+453
+00:41:31,460 --> 00:41:36,200
+المعادلة الأولى في الموجة بقول سالب فقط X prime
+
+454
+00:41:36,200 --> 00:41:43,140
+بنت ساوي X cos بيتا ناقص Y في sin الـ بيتا Y
+
+455
+00:41:43,140 --> 00:41:48,860
+prime بنت ساوي X في sin بيتا زائد Y cos بيتا
+
+456
+00:41:48,860 --> 00:41:52,240
+الآن
+
+457
+00:41:52,240 --> 00:41:57,900
+صفر صفر صفر صفر واحد صفر 
+
+458
+00:42:04,290 --> 00:42:08,010
+Where؟ طب أنت لما تحط .. يعني ده لأن الـ Z .. Z
+
+459
+00:42:08,010 --> 00:42:12,810
+prime هتساوي Z Z prime هتساوي Z أنت لو حطيت مكانها 
+
+460
+00:42:12,810 --> 00:42:19,610
+صفر مهما جتلتها المعادلة اللي بقى بها الـ pitch 
+
+461
+00:42:19,610 --> 00:42:29,790
+الدوران بين مين ومين Y و Z معناته ..
+
+462
+00:42:29,790 --> 00:42:37,420
+الآن في عندي ال .. صفر الآن cos التسعين cos
+
+463
+00:42:37,420 --> 00:42:41,180
+التسعين صفر 
+
+464
+00:42:41,180 --> 00:42:45,740
+sin التسعين صفر 
+
+465
+00:42:45,740 --> 00:42:53,160
+الآن sin التسعين cos
+
+466
+00:42:53,160 --> 00:42:59,640
+التسعين المصفوفة
+
+467
+00:42:59,640 --> 00:43:02,220
+الأخيرة اللي هي اليوم
+
+468
+00:43:04,940 --> 00:43:19,480
+X cos 90 صفر صفر للـ Y الآن sin 90 موجب واحد صفر 
+
+469
+00:43:19,480 --> 00:43:22,560
+صفر
+
+470
+00:43:22,560 --> 00:43:26,540
+واحد صفر صفر لأن الـ Y ما فيش علاقة تغيير عند الـ Z
+
+471
+00:43:26,540 --> 00:43:35,640
+الآن سالب sin 90 سالب واحد صفر عند الـ Y و صفر cos 
+
+472
+00:43:35,640 --> 00:43:41,240
+التسعين صفر صفر صفر صفر واحد لأن حاصل ضرب الأربع 
+
+473
+00:43:41,240 --> 00:43:49,820
+مصفوفات هيدور هي الـ Q بتلاحظ ده كان صحيح اتا كده أو
+
+474
+00:43:49,820 --> 00:43:55,260
+ليه لأ إذا أنا قلت لك قد الـ Q كيف يختاروا المصفوفات
+
+475
+00:44:02,200 --> 00:44:05,560
+هضرب لك المصفوفتين بس عشان أذكرك بعملية الضرب يا صاحب
+
+476
+00:44:05,560 --> 00:44:08,460
+يا binary operation يعني أنت بتخلص من أول اثنتين و
+
+477
+00:44:08,460 --> 00:44:11,400
+تخلص من اثنتين هدول جامعة ما هي أنت بتخلص من هدول
+
+478
+00:44:11,400 --> 00:44:14,420
+اثنتين وتاخد الناتج وتضرب في الثالثة والناتج 
+
+479
+00:44:14,420 --> 00:44:17,700
+تضرب في الرابعة ولا كيف بتفكر أنت بقى تضرب يعني
+
+480
+00:44:17,700 --> 00:44:23,480
+اثنتين اثنتين واحدة واحدة برضه صح بس في الآخر binary
+
+481
+00:44:23,480 --> 00:44:26,780
+operation لازم تضرب كل مصفوفتين مع بعض مع جدران
+
+482
+00:44:26,780 --> 00:44:32,150
+ساعتين هضرب من غير الضرب خلاص هي الصف الأول في
+
+483
+00:44:32,150 --> 00:44:36,010
+العمود الأول اضرب لحالك بعد هيك واحد في سالب واحد
+
+484
+00:44:36,010 --> 00:44:42,950
+صفر في صفر صفر في صفر اثنين في صفر سالب واحد الصف
+
+485
+00:44:42,950 --> 00:44:47,690
+الأول في العمود الثاني واحد في صفر صفر صفر صفر
+
+486
+00:44:50,400 --> 00:44:53,820
+ضرب المصفوفات قلنا بتاخد الصف في الأول وبتضربه في
+
+487
+00:44:53,820 --> 00:44:56,180
+العمود الأول بتديك القيمة اللي موجودة بتبقى نهاية
+
+488
+00:44:56,180 --> 00:45:00,260
+الصف في الأول بتاخد الصف وبتحطه عمود الجبال
+
+489
+00:45:00,260 --> 00:45:04,040
+الثاني واحد في واحد صفر زائد صفر في صفر زائد صفر
+
+490
+00:45:04,040 --> 00:45:09,580
+في صفر زائد اثنين في صفر ما عادش سالب واحد هي الآن
+
+491
+00:45:09,580 --> 00:45:12,100
+الصف في الأول في العمود الثاني بتديك المدخل الثاني
+
+492
+00:45:12,100 --> 00:45:18,040
+في الصف الأول واحد في صفر صفر في سالب واحد صفر في
+
+493
+00:45:18,040 --> 00:45:19,800
+صفر اثنين في صفر صفر
+
+494
+00:45:23,070 --> 00:45:27,410
+واحد في صفر صفر في صفر صفر في صفر في واحد صفر في
+
+495
+00:45:27,410 --> 00:45:39,430
+اثنين صفر اثنين وصفتي عليه طيب الـ
+
+496
+00:45:39,430 --> 00:45:43,530
+determinant بما أن احنا بنتكلم على مصفوفات هي شرحنا
+
+497
+00:45:43,530 --> 00:45:46,530
+الـ determinant قبل ما نبلش بالـ transforms المرة
+
+498
+00:45:46,530 --> 00:45:50,350
+الماضية وأنا هو بيقول هي المعادلة بتاعت الـ X prime
+
+499
+00:45:51,250 --> 00:45:54,210
+الـ Transformation بتاعتي وهي المعادلة تبع الـ Y
+
+500
+00:45:54,210 --> 00:45:56,950
+prime قلت أنا ممكن استفيد من الـ determinant 
+
+501
+00:45:56,950 --> 00:46:00,290
+وشوفناه لما تكلمنا على الـ areas المساحات وقلنا
+
+502
+00:46:00,290 --> 00:46:04,790
+الـ determinant أو المحدد هي عبارة عن scalar value
+
+503
+00:46:04,790 --> 00:46:11,400
+لعناصر المصفوفة بحيث إنه هي عبارة عن عناصر أو حاصل
+
+504
+00:46:11,400 --> 00:46:16,140
+ضرب عناصر القطر الرئيسي مطروح منهم حاصل ضرب عناصر
+
+505
+00:46:16,140 --> 00:46:19,940
+القطر الثانوي وقلنا لما بتكون المصفوفة ثلاثة في 
+
+506
+00:46:19,940 --> 00:46:22,920
+ثلاثة أو الـ determinant التابع ثلاثة في ثلاثة 
+
+507
+00:46:22,920 --> 00:46:26,360
+بحدده أو بعمل المجموعة من المحدد ده اثنين في اثنين
+
+508
+00:46:26,360 --> 00:46:30,460
+بناء على الصف الأول أو أي عمود الأول موجب سالب 
+
+509
+00:46:30,460 --> 00:46:35,080
+موجب ارجع للشرائط السابقة أو تتذكر الكلام هذا إيه
+
+510
+00:46:35,080 --> 00:46:36,100
+اللي بدي أوصل معك
+
+511
+00:46:38,850 --> 00:46:42,210
+شو علاقة الـ determinant بالـ transformation
+
+512
+00:46:42,210 --> 00:46:48,670
+وحكيناها سابقا أن الـ determinant بيمثل مساحة لتو
+
+513
+00:46:48,670 --> 00:46:54,290
+دي shape الـ determinant بيمثل مساحة لتو دي shape
+
+514
+00:46:54,290 --> 00:47:04,030
+لو أنا أديت بقلت لك بدي مساحة الـ إيه يا شباب مساحة
+
+515
+00:47:04,030 --> 00:47:09,320
+الـ إيه آه المعين اللي موجود عنده هان بدي مساحته
+
+516
+00:47:09,320 --> 00:47:15,760
+أجزئه مثلثين طيب لو أنا فكرت أن أرسم مربع على
+
+517
+00:47:15,760 --> 00:47:20,640
+النقطة الأخيرة اللي عنده هان مربع يشمل المعين في
+
+518
+00:47:20,640 --> 00:47:25,380
+داخله وأطرح منه المساحة الخارجية المساحة الخارجية
+
+519
+00:47:25,380 --> 00:47:31,380
+بالنسبة لي معلومة لأن النقاط المعين هذه كلها معلومة
+
+520
+00:47:31,380 --> 00:47:35,900
+بالنسبة لي وبالتالي نهائي في عندي هنا A وعندي هنا B
+
+521
+00:47:35,900 --> 00:47:39,880
+يعني الآن الضلع بتاع المربع هذا أو المستطيل هذا هو
+
+522
+00:47:39,880 --> 00:47:45,200
+عبارة عن A زائد B والمساحة أو الارتفاع المستقل
+
+523
+00:47:45,200 --> 00:47:49,600
+اللي عندي C زائد D وبالنسبة لي الـ C هذه قيمتها 
+
+524
+00:47:49,600 --> 00:47:57,750
+معلومة اللي هي B تمام؟ في مين يا شباب؟ في C لأن هذا
+
+525
+00:47:57,750 --> 00:48:02,630
+المستطيل وهذا المستطيل متساويان والمثلث هذا و
+
+526
+00:48:02,630 --> 00:48:07,430
+المثلث هذا متساويان والـ B والـ A متساويان فلو أنا
+
+527
+00:48:07,430 --> 00:48:12,470
+طلبت منك مساحة بكل بساطة الـ
+
+528
+00:48:12,470 --> 00:48:15,970
+R بروح بجيب العناصر هدول بحسب الثلاث قيم وبضربهم
+
+529
+00:48:15,970 --> 00:48:19,430
+في اثنين وبحصل على النتائج المطلوبة في الآخر هحصل
+
+530
+00:48:19,430 --> 00:48:26,740
+على المساحة اللي موجودة عندي فقط A B ناقص C B هذه 
+
+531
+00:48:26,740 --> 00:48:33,360
+مساحة المعين اللي موجود عنده مساحة المعين اللي
+
+532
+00:48:33,360 --> 00:48:36,800
+موجود عنده اللي هي بين جسين مساحة الـ determinant
+
+533
+00:48:36,800 --> 00:48:40,160
+أو الـ scalar بتاعت الـ determinant أو الـ value بتاعت
+
+534
+00:48:40,160 --> 00:48:43,500
+الـ determinant بناء على النقاط اللي موجودة عنده
+
+535
+00:48:43,500 --> 00:48:51,040
+لأن كل نقطة عملها transformation بمقدار معين طيب
+
+536
+00:48:51,040 --> 00:48:53,480
+احنا الـ determinant أخذناه وخلصنا منه سابقا
+
+537
+00:48:57,880 --> 00:49:02,740
+Perspective Projection إيش 
+
+538
+00:49:02,740 --> 00:49:07,740
+الـ Projection يا شباب؟ حد بيعرف مرة عليه كلمة الـ
+
+539
+00:49:07,740 --> 00:49:11,540
+Projection؟ عرض، عرض، عرض، عرض، عرض، عرض، عرض،
+
+540
+00:49:11,540 --> 00:49:12,000
+عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض،
+
+541
+00:49:12,000 --> 00:49:14,600
+عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض،
+
+542
+00:49:14,600 --> 00:49:15,260
+عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض،
+
+543
+00:49:15,260 --> 00:49:17,420
+عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض،
+
+544
+00:49:17,420 --> 00:49:25,420
+عرض، عرض، عرض، عرض، عرض، عرض،
+
+545
+00:49:26,720 --> 00:49:31,680
+لو جربت منها لوحة العرض، حجم العرض كده إيش؟ بيصغر،
+
+546
+00:49:31,680 --> 00:49:36,280
+مصبوط، أو مساحة العرض بتصغر، وكل ما بعدت، بتكبر،
+
+547
+00:49:36,280 --> 00:49:39,000
+طبعاً هذا بيعتمد برضه على شدة الإضاءة اللي طالعة من
+
+548
+00:49:39,000 --> 00:49:42,600
+الـ Projector اللي موجود عندي، فلما أنا بتكلم على
+
+549
+00:49:42,600 --> 00:49:44,860
+الـ Perspective والـ Projection، بتكلم على شغل
+
+550
+00:49:44,860 --> 00:49:48,760
+بالمنطق هذا، لكن تبقى على نقطة معينة، أبدأ أفترض
+
+551
+00:49:48,760 --> 00:49:55,440
+الشاشة بتاعتي في نقطة معينة، طيب، ليش هذا الكلام
+
+552
+00:49:55,440 --> 00:50:02,620
+مهم؟ لأنه بيكون أحياناً بتصير .. بتكون مقطع الـ
+
+553
+00:50:02,620 --> 00:50:07,360
+animation أنا موجود في داخل المبنى وبأنظر عبر
+
+554
+00:50:07,360 --> 00:50:12,100
+الشباك بأنظر عبر الشباك الآن الشباك هذا أو الجزاز
+
+555
+00:50:12,100 --> 00:50:16,680
+اللي موجود عندي هنا هيمثل Projection أو حاجز
+
+556
+00:50:16,680 --> 00:50:20,560
+للرؤية اللي موجودة عندي هنا تمام؟ فجديش هتتمثل
+
+557
+00:50:20,560 --> 00:50:27,610
+مسافات اللي موجودة عندي هنا طيب الآن .. طبعا هذا 
+
+558
+00:50:27,610 --> 00:50:30,310
+الكلام إذا كنت تتكلم عن إيه الارتباط، إيه الارتباط
+
+559
+00:50:30,310 --> 00:50:34,010
+مع الـ Trigonometer من البداية؟ إذا بتتذكر، يقول،
+
+560
+00:50:34,010 --> 00:50:41,050
+لما لو كان في عندي شخص صانع، عمّاله بيطلع، 
+
+561
+00:50:41,050 --> 00:50:46,010
+هاي مساحة الرؤية تبعته، عبارة عن Two Angles،
+
+562
+00:50:46,010 --> 00:50:48,550
+Elevation و Depression
+
+563
+00:50:52,300 --> 00:50:56,860
+Elevation Angle و Depression Angle و بالمساحة كلها
+
+564
+00:50:56,860 --> 00:51:00,980
+و المسافة كلها دي بتمثل مساحة الرؤية الموجودة
+
+565
+00:51:00,980 --> 00:51:05,300
+للشخص أو للكاميرا اللي موجودة عندي. تخيل لو أنا 
+
+566
+00:51:05,300 --> 00:51:08,240
+جيت قلت لك هاي النقطة تبعتي أو الكاميرا موجودة هنا
+
+567
+00:51:08,240 --> 00:51:13,940
+و أنا بدي أصور أو هاي المساحة تبعتي مساحة العرض أو 
+
+568
+00:51:13,940 --> 00:51:18,160
+هاي البروجيكتور مساحة العرض اللي عندي هنا و قلت لك
+
+569
+00:51:18,160 --> 00:51:23,800
+بدي أحرك المسطح هذا على الـ X Axis أو على الـ Z axis
+
+570
+00:51:23,800 --> 00:51:29,800
+بلا حدود الـ slide اللي عندنا أو العرض اللي عندنا
+
+571
+00:51:29,800 --> 00:51:37,300
+هنا X و Y و Z باتجاهك. هل هناك ما يمنع أن الشاشة
+
+572
+00:51:37,300 --> 00:51:42,800
+كلها هاي تتحرك للأمام؟ أه، نثبتها ببراغي، مش هتقدر 
+
+573
+00:51:42,800 --> 00:51:46,200
+أحركها، صح؟ بس فعليًا، لو كانت أنا بتكلم في الـ3D
+
+574
+00:51:46,200 --> 00:51:50,240
+موجود، معناته أنا بقدر إيش؟ أحركها بأي اتجاه، 
+
+575
+00:51:50,240 --> 00:51:54,480
+وبالتالي، ها نحن فعليًا صرنا نتكلم على Projection،
+
+576
+00:51:54,480 --> 00:51:59,460
+لأن هذه الشاشة أو هذه اللوحة، تخيليها شفافة،
+
+577
+00:51:59,460 --> 00:52:03,720
+عشان أبقى بدي أشوف الـ Element اللي بعدها، لأي
+
+578
+00:52:03,720 --> 00:52:06,000
+مستوى بدي أصير أنا، أشوفه
+
+579
+00:52:13,200 --> 00:52:16,400
+لما بتكلم على Projection لما أتكلم على Projection
+
+580
+00:52:16,400 --> 00:52:21,400
+هاي اللي هو احتفظنا الـ X و الـ Y space أو الـ plane
+
+581
+00:52:21,400 --> 00:52:26,220
+عفوا، المسطح بدي أتحرك باتجاه الـ Z axis بدي أتحرك 
+
+582
+00:52:26,220 --> 00:52:30,920
+بالكامل باتجاه الـ Z axis فالـ Projection تبعي
+
+583
+00:52:30,920 --> 00:52:37,320
+النقطة اللي فوقها كيف بدي أتبينها؟ بتبين لمين؟ للـ X
+
+584
+00:52:37,320 --> 00:52:38,380
+والـ Y هي هي هي هي هي هي هي هي هي هي هي هي هي
+
+585
+00:52:38,380 --> 00:52:39,120
+هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي
+
+586
+00:52:39,120 --> 00:52:39,300
+هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي
+
+587
+00:52:39,300 --> 00:52:40,900
+هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي
+
+588
+00:52:40,900 --> 00:52:42,760
+هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي
+
+589
+00:52:42,760 --> 00:52:44,640
+هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي
+
+590
+00:52:44,640 --> 00:52:44,680
+هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي
+
+591
+00:52:44,680 --> 00:52:44,700
+هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي
+
+592
+00:52:44,700 --> 00:53:03,720
+هيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهي
+
+593
+00:53:04,870 --> 00:53:09,970
+أجيب لك مثال أبسط، الآن أنت قاعد عند الشباك و شايف
+
+594
+00:53:09,970 --> 00:53:15,890
+طيارة بوينج 777 طالعة في الجو هيك، تمام؟ الآن
+
+595
+00:53:15,890 --> 00:53:22,230
+النقطة اللي مثلت الطيارة على الشباك، هل فعليًا هي 
+
+596
+00:53:22,230 --> 00:53:25,110
+النقطة الحقيقية اللي مثلت ارتفاع الطيارة عن الأرض؟
+
+597
+00:53:25,780 --> 00:53:29,220
+أكيد لا، ليش؟ لأن في النهاية ما تكلمنا أني قاعد على 
+
+598
+00:53:29,220 --> 00:53:32,920
+نقطة تقاطع أو Projection الآن الخط اللي نازل ما بين
+
+599
+00:53:32,920 --> 00:53:37,860
+الطيارة الحقيقية و الطيارة الظاهرة ينعكس على المسافة لحد 
+
+600
+00:53:37,860 --> 00:53:42,860
+مستوى عينك عبر النافذة، تمام؟ و مع الخط الأفقي، أي 
+
+601
+00:53:42,860 --> 00:53:46,080
+أندي مثلث، الزاوية ثابتة، ما تغيرت فيها ولا حاجة، 
+
+602
+00:53:46,080 --> 00:53:51,960
+ولا لأ؟ بس اتغيرت، أن أنا فعليًا، ها، بشوف الشاشة، 
+
+603
+00:53:51,960 --> 00:53:57,110
+بشوف الطيارة في المكان هنا، بينما هي طيارة فعليًا في
+
+604
+00:53:57,110 --> 00:53:59,730
+أعلى نقطة ممكن تكون موجودة عندها.
+هذا الكلام اللي 
+
+605
+00:53:59,730 --> 00:54:03,270
+احنا بنسميه ناشئ الـ Projection. والفكرة فيه كمان
+
+606
+00:54:03,270 --> 00:54:08,190
+مرة الـ Projection استخدامه الأساسي لموضوع
+
+607
+00:54:08,190 --> 00:54:12,590
+الكاميرا. لموضوع الكاميرا. لأن تخيل أن الكاميرا
+
+608
+00:54:12,590 --> 00:54:17,270
+هيها، بدي أقدمها من الـ Object أو بدي أرجعها، بناء
+
+609
+00:54:17,270 --> 00:54:20,790
+على تقريبها وتأخيرها على النقطة ثابتة في مكانها.
+
+610
+00:54:21,870 --> 00:54:26,030
+الآن، لو افترضت إن في شخص بتطلع من أصابعها هذه
+
+611
+00:54:26,030 --> 00:54:32,420
+الكاميرا، لأن هل هأشوف الـ Mic هذا؟ مش ضروري و كل ما 
+
+612
+00:54:32,420 --> 00:54:36,200
+قربت لقدام مش هأشوفه لكن لو رجعت لورا بحيث إنه 
+
+613
+00:54:36,200 --> 00:54:39,320
+يصير الـ Projection أو ال .. ال .. الـ vectors فقط
+
+614
+00:54:39,320 --> 00:54:43,600
+من الـ Mic لحد الكاميرا و ضمن حدود الرؤية تبعتي،
+
+615
+00:54:43,600 --> 00:54:50,700
+هيصيرش إنه موجود عندي هنا. الفكرة فيها إنه أنا بدي 
+
+616
+00:54:50,700 --> 00:54:56,580
+أصير أغير المحاور يعني الآن هذه المفروض الصورة أو 
+
+617
+00:54:56,580 --> 00:55:00,360
+بدي أتخيلها بالـ 3D زي ما قلنا و الشاشة هذه هي الـ 
+
+618
+00:55:00,360 --> 00:55:04,460
+Projection تبعت الكاميرا. كل ما بقدمها أو بخرها
+
+619
+00:55:04,460 --> 00:55:10,300
+تتغير معي مستوى الرؤية. الآن محمد لو أنا فعليًا 
+
+620
+00:55:10,300 --> 00:55:14,540
+بدي قاعد يشوف من ناحية الـ X و الـ Y وين الكاميرا
+
+621
+00:55:14,540 --> 00:55:20,990
+تبعتي هيها في النقطة هاي هتكون X Y و D. طيب، لو أنا 
+
+622
+00:55:20,990 --> 00:55:25,510
+كنت موجود على الـ Z، كيف بتشوف الرؤية؟
+يعني أنت 
+
+623
+00:55:25,510 --> 00:55:29,790
+هتشوفها بزاوية مختلفة تمامًا. فعليًا، أنا بشوفها في 
+
+624
+00:55:29,790 --> 00:55:32,730
+الـ 2D كل مرة،
+لأن الـ Design تبعي، الكمبيوتر تبعي
+
+625
+00:55:32,730 --> 00:55:37,130
+2D. و كل مرة، لما قلت لك، أنا بجيب المكعب و بيعمله 
+
+626
+00:55:37,130 --> 00:55:40,610
+Rotation تمامًا، هو مغير الكاميرا اللي بتغير، 
+
+627
+00:55:40,610 --> 00:55:43,670
+بيروح، بيغير Perspective و Projection، وجهة رؤية
+
+628
+00:55:43,670 --> 00:55:48,150
+و رؤية، مساحة رؤية مختلفة، بناء على مين؟ على تغيير 
+
+629
+00:55:48,150 --> 00:55:53,680
+الكاميرا اللي موجودة. بالتالي أنا ممكن أصير أسألك 
+
+630
+00:55:53,680 --> 00:55:57,280
+بما أن هو في الـ 3D و الـ Projection تبعه عماله
+
+631
+00:55:57,280 --> 00:56:03,340
+بتحرك على مستوى الـ Z لو أنا ممكن أسألك مستوى لو 
+
+632
+00:56:03,340 --> 00:56:06,540
+أنا كنت هنا على الـ X و الـ Y وين شكل الـ Projection 
+
+633
+00:56:06,540 --> 00:56:10,260
+تبعتي؟ و لو كنت أنا واقف على الـ Y و الـ Z وين الـ 
+
+634
+00:56:10,260 --> 00:56:13,000
+Projection تبعتي؟ لأن في الآخر الـ Projection هو
+
+635
+00:56:13,000 --> 00:56:16,000
+عبارة عن جزء من الـ space و أنا بدي أغيره بأي
+
+636
+00:56:16,000 --> 00:56:23,490
+اتجاه بدي إيّاه و كذلك النقاط اللي موجودة عندها لما أنا 
+
+637
+00:56:23,490 --> 00:56:27,850
+باجي أتكلم على هو
+
+638
+00:56:27,850 --> 00:56:30,190
+الـ Projection نفسه و النقطة في نفس الارتفاع اللي
+
+639
+00:56:30,190 --> 00:56:34,070
+موجودة عندها بدي أصير أتكلم على نسبة و تناسب
+
+640
+00:56:34,070 --> 00:56:46,990
+النسبة هنا الآن X الكاميرا هنا XC YC و ZC ZC اللي 
+
+641
+00:56:46,990 --> 00:56:50,330
+هي الـ position تبعت الكاميرا أو الـ Project النقطة 
+
+642
+00:56:50,330 --> 00:56:54,310
+اللي أنا بدي أشوفها و هي الـ screen تبعتي مدينة
+
+643
+00:56:54,310 --> 00:56:57,930
+الرؤية اللي عندي و بدي أعرف المسافة أو النقطة اللي
+
+644
+00:56:57,930 --> 00:57:02,010
+موجودة عندي هنا المفروض هدي نسميها نقطة xp yp
+
+645
+00:57:02,010 --> 00:57:07,270
+بالإضافة للـ distance اللي تمت اللي موجودة عليها
+
+646
+00:57:07,270 --> 00:57:12,540
+بالنسبة للـ Z أنا مش كل الـ Z دي الآن. الآن هذا الكلام
+
+647
+00:57:12,540 --> 00:57:19,140
+بيذكرنا بالـ sign rule بحيث إنه عبارة عن two ratios
+
+648
+00:57:19,140 --> 00:57:30,460
+متساويات يعني XC على Zبد C تساوي ناقص XB على الـ 
+
+649
+00:57:30,460 --> 00:57:36,760
+distance اللي موجودة عندها هاي الـ XC أو عفواً Zبد C
+
+650
+00:57:36,760 --> 00:57:40,950
+و هاي الـ X الـ C اللي موجودة عندها. فبتكلم على الأشخاص 
+
+651
+00:57:40,950 --> 00:57:43,830
+و بقدر أجيب النقاط كنسبة و تناسب نوعي من الكامل هو 
+
+652
+00:57:43,830 --> 00:57:48,110
+المثلث الصغير المثلث الكبير؟ هي فعليًا هو الآن
+
+653
+00:57:48,110 --> 00:57:51,450
+بتكلم على Projection و تخيلوا أنها بتصير فيه
+
+654
+00:57:51,450 --> 00:57:54,190
+Scaling إذا بكاش تتكلم على مثلث صغير في مثلث أكبر
+
+655
+00:57:54,190 --> 00:58:00,410
+منه في الآخر شباب هي المثلث اللي موجودة. كل ما 
+
+656
+00:58:00,410 --> 00:58:05,240
+بتغير الشاشة من مجال الرؤية أو من نقطة الرؤية أو من
+
+657
+00:58:05,240 --> 00:58:09,220
+نقطة الكاميرا للـ Production تبعتي بيجيب لكن فيها 
+
+658
+00:58:09,220 --> 00:58:12,840
+قانون ثابت ما بيتغيرش مطلقًا اللي هي علاقة بين 
+
+659
+00:58:12,840 --> 00:58:19,410
+الارتفاع و الـ distance مصبوب؟ لأن بتكلم على مخروط
+
+660
+00:58:19,410 --> 00:58:24,010
+قائم الزاوية و الزاوية زي ما ذكرنا كامل تمام؟ هي 
+
+661
+00:58:24,010 --> 00:58:27,230
+زاوية ثابتة و بالتالي كل ما ببقى الـ screen أو الـ 
+
+662
+00:58:27,230 --> 00:58:29,850
+Projection screen تبع الـ space تبعي أو الـ plane تبعي
+
+663
+00:58:29,850 --> 00:58:36,010
+أنا بقى بشوف القيمة اللي موجودة. طيب
+
+664
+00:58:36,010 --> 00:58:38,230
+.. طيب إذا أنا بتكلم على Projection ك
+
+665
+00:58:38,230 --> 00:58:42,390
+Transformation معناته لـ Projection تبعتها إليها
+
+666
+00:58:42,390 --> 00:58:44,290
+بناء على المعادلات اللي موجودة
+
+667
+00:58:47,160 --> 00:58:51,260
+سالب واحد صفر صفر صفر. الـ Y ما صار عليها تغيير إذا 
+
+668
+00:58:51,260 --> 00:58:54,380
+أنا كنت بتكلم على Projection بين مين و مين يا شباب
+
+669
+00:58:54,380 --> 00:59:04,160
+بين X و Y, X و Z يعني فعليًا الـ plane تبعي بيتحرك على 
+
+670
+00:59:04,160 --> 00:59:09,470
+مستوى الـ Z. الـ plane تبعي بيتحرك على مستوى الـ Z لو 
+
+671
+00:59:09,470 --> 00:59:12,710
+أنا وقفت على الـ X Axis إيش بشوف؟ لو وقفت على الـ Y
+
+672
+00:59:12,710 --> 00:59:16,550
+Axis إيش بشوف؟ أو إيش النقطة اللي بشوفها؟ و بالتالي 
+
+673
+00:59:16,550 --> 00:59:18,810
+هاي الـ Transformation تبعتي تبعت الـ Projection 
+
+674
+00:59:18,810 --> 00:59:28,250
+بناء على الـ ratios اللي موجودة عندي هنا بكل
+
+675
+00:59:28,250 --> 00:59:30,570
+بساطة. إذا أنا بدي أبدأ على موضوع الـ homogeneous
+
+676
+00:59:30,570 --> 00:59:41,720
+coordinates معناته XB و YB و ZB القيمة
+
+677
+00:59:41,720 --> 00:59:45,620
+تحتل الـ Projection هيها للـ X القيمة للـ Projection
+
+678
+00:59:45,620 --> 00:59:53,060
+تبعت الـ Y هيها. لاحظ مين اللي بتغيّر يا شباب البعد 
+
+679
+00:59:53,060 --> 01:00:05,480
+البعد فقط الآن إشارة البعد. الآن سالم XCYC على ZC
+
+680
+01:00:05,480 --> 01:00:10,680
+على D و بالتالي هاي الـ Projection اللي موجود عندي
+
+681
+01:00:10,680 --> 01:00:13,980
+هاي التلات قيم اللي موجودة أنشئتها دي بيحصل هتساوي
+
+682
+01:00:13,980 --> 01:00:22,840
+عندي هنا ناقص XC في D على ZC هذه بتساوي YC في D
+
+683
+01:00:22,840 --> 01:00:29,400
+على ZC و هذه تساوي D لحالها لأن هاي و هاي هيروحوا
+
+684
+01:00:29,400 --> 01:00:36,310
+مع بعض و هي واحد على واحد على الـ D بسط المقام المقام
+
+685
+01:00:36,310 --> 01:00:41,250
+بيصير بسط وهذا
+
+686
+01:00:41,250 --> 01:00:46,090
+كل المطلوب في الـ chapter اللي موجود عندنا اه خلصت
+
+687
+01:00:46,090 --> 01:00:54,350
+الـ chapter معي لأن هدول التلات قوانين تمام
+
+688
+01:00:54,350 --> 01:00:58,130
+لو أنا أتيت سألتك و قلت لك أن في عندك نقطة عندك
+
+689
+01:00:58,130 --> 01:01:03,590
+نقطة X,Y,Z قدّامك القيام تبعتها والناكم مثلًا اثنين
+
+690
+01:01:03,590 --> 01:01:10,490
+اثنين ثلاثة تمام؟ و في عند الـ plane أو في عند ال ..
+
+691
+01:01:10,490 --> 01:01:15,590
+عند الـ Z مستوى روح تحطتك عند الـ Z equal خمسة
+
+692
+01:01:15,590 --> 01:01:20,550
+معناته
+
+693
+01:01:20,550 --> 01:01:25,050
+الكاميرا موجودة هي عندها حدد الـ Projection تبعتها
+
+694
+01:01:25,050 --> 01:01:36,010
+الـ D equal خمسة. الآن XC التي تبعت ثلاثة و YC ثلاثة
+
+695
+01:01:36,010 --> 01:01:42,230
+و الـ value الأخير الذي ZC خمسة و مع الـ D خمسة فهي
+
+696
+01:01:42,230 --> 01:01:45,270
+العناصر و بالتالي بس بتطبق على الموجود هنا عشان
+
+697
+01:01:45,270 --> 01:01:50,130
+تقول لي الـ Projection تبعت النقطة هذه صارت النقطة 
+
+698
+01:01:50,130 --> 01:01:56,110
+الفلانية على المحور اللي موجود. أعتقد احنا خلصنا ال
+
+699
+01:01:56,110 --> 01:01:59,370
+chapter و خلصنا المنهج لأحد الجاي .. لأحد الجاي
+
+700
+01:01:59,370 --> 01:02:03,530
+حاجة هنا اللي فيه الشباب موجودين حاراجة معكم و 
+
+701
+01:02:03,530 --> 01:02:08,510
+هحل معاكم الامتحان النصفي و هحل الامتحان النهائي
+
+702
+01:02:08,510 --> 01:02:13,910
+تبع العام الماضي يا شباب بالنسبة لل computation موللة
+
+703
+01:02:13,910 --> 01:02:17,730
+قصيرة مطلوب منك تحلها تعمل حسابك معاك calculator و
+
+704
+01:02:17,730 --> 01:02:22,550
+معاك قلم رصاص و ممحاة أنا هتبقى لتمسح ولما ألاقيك 
+
+705
+01:02:22,550 --> 01:02:25,310
+أنت كاتب بالجاف ومخربش دي كتير معناته أنا هأتوه
+
+706
+01:02:25,310 --> 01:02:28,990
+معاك وأنا بصلح لأ لأ مش هأتوه هحاول قدر المستطاع
+
+707
+01:02:28,990 --> 01:02:32,370
+إني أتبع معاك لكن لما أنت بتستخدم القلم الرصاص أفضل
+
+708
+01:02:32,370 --> 01:02:36,850
+تمام أفضل إيه لك؟ ورق فاضي؟ ورق فاضي لأ بديك اسبوع
+
+709
+01:02:36,850 --> 01:02:41,890
+جدر الحل تمام عشان ما فيش مجال ما فيش مجال ورق
+
+710
+01:02:41,890 --> 01:02:42,290
+زيادة 
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/mPL84k2dxcs_postprocess.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/mPL84k2dxcs_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..78696dd7eced508d656d40965760456b40782933
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/mPL84k2dxcs_postprocess.srt
@@ -0,0 +1,2843 @@
+1
+00:00:20,890 --> 00:00:23,330
+بسم الله والحمد لله والصلاة والسلام علي رسول الله
+
+2
+00:00:23,330 --> 00:00:26,430
+اليوم ان شاء الله يا شباب بنخلص موضوع chapter ال
+
+3
+00:00:26,430 --> 00:00:29,590
+transformation مع انه هنشوف انه في بعض الشغلات
+
+4
+00:00:29,590 --> 00:00:34,290
+احنا مارين عليها سابقا بشكل سريع احنا كنا تكلمنا
+
+5
+00:00:34,290 --> 00:00:37,530
+او نتكلم في ال transforms في عندي تلت انواع او
+
+6
+00:00:37,530 --> 00:00:39,570
+اربع انواع من ال transforms في عند ال translation
+
+7
+00:00:39,570 --> 00:00:42,490
+وفي عند ال scaling وفي عند ال rotation وفي عند ال
+
+8
+00:00:42,490 --> 00:00:47,750
+reflection ولما اجينا هنتكلم علىالـ Scaling أو على
+
+9
+00:00:47,750 --> 00:00:51,750
+الـ Transforms بشكل عام حاولنا نوجد مصفوفات لكن
+
+10
+00:00:51,750 --> 00:00:55,950
+المصفوفات لما كانت المعادلة العامة تبعتي X prime
+
+11
+00:00:55,950 --> 00:01:06,090
+بتتساوي A X زائد BY زائد E Y prime بتتساوي C في X
+
+12
+00:01:06,090 --> 00:01:11,090
+زائد D في Y زائد F بقولنا الـ E و الـ F دول
+
+13
+00:01:11,090 --> 00:01:14,190
+المعاملات الـ Translation المعاملات الإزاحة
+
+14
+00:01:15,600 --> 00:01:22,560
+وبالتالي أنا مصفوفة فعليا تباع T2 في 2 A B C D هذي
+
+15
+00:01:22,560 --> 00:01:27,140
+لما أضربها في X و Y بحصل على النقطة الجديدة لكن
+
+16
+00:01:27,140 --> 00:01:31,140
+قولنا إن هذا ال translation كواحدة من ال
+
+17
+00:01:31,140 --> 00:01:34,580
+transforms الأساسية مش موجودة في معادلة أو في
+
+18
+00:01:34,580 --> 00:01:39,280
+مصفوفة بالحجم هذا فاتكلمنا على ال homogeneous
+
+19
+00:01:39,280 --> 00:01:42,320
+coordinate قولنا homogeneous coordinate يعني لأي
+
+20
+00:01:42,320 --> 00:01:51,390
+نقطة X و Yهلاجي X و Y و 1 تمام هذه على الأقل هي
+
+21
+00:01:51,390 --> 00:01:57,130
+homogeneous coordinate لانها تخضع للقانون X T Y و
+
+22
+00:01:57,130 --> 00:02:01,550
+T و T لان اتفقنا ان اي point بالشكل هذا هي
+
+23
+00:02:01,550 --> 00:02:06,710
+homogeneous بحيث انه لما باخد X T يعني تقسيم T X
+
+24
+00:02:06,710 --> 00:02:11,710
+بتديه المعامل الأولY T تقسيم T تبني ال Y طب و أنا
+
+25
+00:02:11,710 --> 00:02:16,690
+جيت على هدول X على واحد X و Y على واحد و كانت هذه
+
+26
+00:02:16,690 --> 00:02:21,290
+ال homogeneous point تبعتي X و Y و واحد هي الأساس
+
+27
+00:02:21,290 --> 00:02:25,530
+اللي أنا بنيت عليه المصهوفة تبعتي بحيث صارت
+
+28
+00:02:25,530 --> 00:02:35,660
+المصهوفة بشكل أكبر A B E C و Dو F عفوا صفر و صفر و
+
+29
+00:02:35,660 --> 00:02:40,560
+واحد هذه المصممة بدي اضربها في X و Y و واحد
+
+30
+00:02:40,560 --> 00:02:46,460
+بتعطيني homogeneous coordinate للنقبة الجديدة اللي
+
+31
+00:02:46,460 --> 00:02:51,860
+هي X prime Y prime و واحد لو أنا سألتك في لحظة من
+
+32
+00:02:51,860 --> 00:02:56,160
+اللحظات ايش النقبة الجديدة بفليش الواحد منهم X
+
+33
+00:02:56,160 --> 00:02:59,120
+prime Y prime تمام
+
+34
+00:03:02,400 --> 00:03:06,920
+و أسقطنا هذا الكلام لما جينا نتكلم في الـ 3D لما
+
+35
+00:03:06,920 --> 00:03:11,100
+جينا في الـ 3D هتزيد عندي معادلة جديدة إلى معادلة
+
+36
+00:03:11,100 --> 00:03:15,780
+بالزد بحيث أنه أصبحت المعادلات اللي عندي أنا بشكل
+
+37
+00:03:15,780 --> 00:03:25,180
+عام X prime بتتساوي ax بي في y زائد c في z زائد E
+
+38
+00:03:25,180 --> 00:03:34,850
+D مش قاوية كتير Y prime بتتساويE في X زائد F في Y
+
+39
+00:03:34,850 --> 00:03:40,910
+زائد H في Z زائد
+
+40
+00:03:40,910 --> 00:03:52,550
+H Z برايم هتساوي H J في X زائد I في Y K في Z زائد
+
+41
+00:03:52,550 --> 00:03:57,410
+L الان هذه المعابرة هي فعليا تلاتة في تلاتة اذا
+
+42
+00:03:57,410 --> 00:04:04,050
+انا بدي استثنىلترانسليشن لكن عشان احولها ل 4 في 4
+
+43
+00:04:04,050 --> 00:04:07,130
+وضمن الترانسليشن ل ال matrix تبعتي عملت
+
+44
+00:04:07,130 --> 00:04:12,570
+homogeneous coordinates له نقطة تبعتي x و y و z
+
+45
+00:04:12,570 --> 00:04:18,470
+كانت ال homogeneous coordinate تبعتها x y z و 1 و
+
+46
+00:04:18,470 --> 00:04:22,230
+بناء على ال homogeneous coordinates هاي اصبحت
+
+47
+00:04:22,230 --> 00:04:25,350
+النقطة ال homogeneous point اصبحت المصوفة تبعتي 4
+
+48
+00:04:25,350 --> 00:04:26,790
+في 4
+
+49
+00:04:31,720 --> 00:04:46,920
+A B C D E F G H J K HI J
+
+50
+00:04:47,450 --> 00:04:57,710
+كل صفر صفر صفر واحد بقى ضربها في X Y و Z واحد عشان
+
+51
+00:04:57,710 --> 00:05:03,070
+تعطيهم homogeneous point X prime Y prime Z prime
+
+52
+00:05:03,070 --> 00:05:08,180
+والواحد هذه المعادلات اللي انا قبقتها فيهالمصفوفة
+
+53
+00:05:08,180 --> 00:05:12,600
+اللي موجودة عندى الان بنمر على بشكل سريع على الـ
+
+54
+00:05:12,600 --> 00:05:16,520
+3D Transformation بناء على المصفوفة والمعادلة اللي
+
+55
+00:05:16,520 --> 00:05:22,220
+موجودة عندى لو انا بدي .. او انا اجابت وقلتلك هاي
+
+56
+00:05:22,220 --> 00:05:26,560
+المحور تبعوتيه اللي حدول ال LCD ال X Axis و ال Y
+
+57
+00:05:26,560 --> 00:05:31,660
+Axis و ال Z Axis بتجاهك وقلتلك هاي الجلم هذا بمثل
+
+58
+00:05:31,660 --> 00:05:37,220
+نقبة في الـ 3D Spaceلما انا بدى اعمله إزاحة بالشكل
+
+59
+00:05:37,220 --> 00:05:43,480
+هذا الإزاحة كانت على ال X وعلى ال Y وعلى ال Z لأنه
+
+60
+00:05:43,480 --> 00:05:47,160
+كان هنا طيب قريب من ال O قريب من ال X قريب من ال Y
+
+61
+00:05:47,160 --> 00:05:51,940
+وقريب من ال Z الآن أنا أزحته بالشكل هذا وبالتالي
+
+62
+00:05:51,940 --> 00:05:55,840
+كانت ال Translation على كل المحاور اللي موجودة
+
+63
+00:05:55,840 --> 00:06:00,720
+عندي وبالتالي انا ممكن أشتغل بنفس المنطق السابق
+
+64
+00:06:01,630 --> 00:06:04,070
+اللي احنا شوفناه لما انا بدي اتكلم على scaling
+
+65
+00:06:04,070 --> 00:06:11,510
+كذلك نفس الكلام هى معادلة ال translation بنقرا على
+
+66
+00:06:11,510 --> 00:06:16,110
+ال homogeneous coordinate او ممكن نسميها ال
+
+67
+00:06:16,110 --> 00:06:19,430
+homogeneous matrix اللى موجودة عندى هى translation
+
+68
+00:06:19,430 --> 00:06:22,490
+لما
+
+69
+00:06:22,490 --> 00:06:27,850
+بدي اتكلم على scaling X prime يتساوي SX في X Y
+
+70
+00:06:27,850 --> 00:06:35,050
+prime يتساويSY في Y Z' يتساوي SZ في Z وبالتالي ايه
+
+71
+00:06:35,050 --> 00:06:40,850
+ال scaling لما انا بدي اتكلم على arbitrary point
+
+72
+00:06:40,850 --> 00:06:45,530
+ايش اللي هيختلف عندي لما بدي اثبت نقطة بقولت بكل
+
+73
+00:06:45,530 --> 00:06:49,350
+دفعة لما انا بيتكلم على scaling عشان ما تنساش X'
+
+74
+00:06:49,690 --> 00:06:56,010
+يتساوي SX في X مظبوط؟ والنقطة اللي بدي اثبتها DX
+
+75
+00:06:56,010 --> 00:06:57,150
+BY
+
+76
+00:07:00,190 --> 00:07:08,330
+مباشرة بروح بقول هذا تساوي SX مضروبة في X minus BX
+
+77
+00:07:08,330 --> 00:07:14,470
+زائد BX واللي هي كانت محصلتها بدأت تساوي SX في X
+
+78
+00:07:14,470 --> 00:07:22,490
+زائد BX في واحد ناقص SX وهيك أنا بقول ثبت النقطة
+
+79
+00:07:22,490 --> 00:07:29,280
+اللي موجودةعندي او ثبتت ال scaling لنقطة بي اكس و
+
+80
+00:07:29,280 --> 00:07:32,080
+بي واي زى ما شوفنا المرة الماضية و نفس الكلام
+
+81
+00:07:32,080 --> 00:07:35,700
+حامله على ال other coordinates ال X برايم و ال Y
+
+82
+00:07:35,700 --> 00:07:39,880
+برايم بنفس المنطقة وبالتالي هى أصبحت المعادلة اللى
+
+83
+00:07:39,880 --> 00:07:43,500
+عندي هى ال factor الخاص بال scaling و هذا ال
+
+84
+00:07:43,500 --> 00:07:47,740
+factor الخاص بال translation بال factor الخاص بال
+
+85
+00:07:47,740 --> 00:07:51,500
+translation وبالتالي المعادلة تبعتيأو الـ
+
+86
+00:07:51,500 --> 00:07:54,900
+Homogeneous Matrix تبعتني لحد كل Scaling تبعًا لـ
+
+87
+00:07:54,900 --> 00:08:09,680
+Arbitrary Point Sx 0 0 Bx 1-Sx 0 Sy 0 By 1-Sy نطبق
+
+88
+00:08:09,680 --> 00:08:13,420
+نفس الكلام عند الـ Y و نفس الكلام عند الـ Z و بكون
+
+89
+00:08:13,420 --> 00:08:18,470
+حصلت على ال Scaling تبعًا لـ Arbitrary Pointفيما
+
+90
+00:08:18,470 --> 00:08:22,630
+يتعلق في موضوع الـ rotation اتفقنا ان ال rotation
+
+91
+00:08:22,630 --> 00:08:33,090
+لما انا بأتكلم على rotation في ال 2D انا
+
+92
+00:08:33,090 --> 00:08:41,990
+بتكلم على X وY وانا عندي نقطة هيها PX و PY هي
+
+93
+00:08:41,990 --> 00:08:45,820
+النقطة تبعتيالان اذا انا بدأ اقول اعمل rotation
+
+94
+00:08:45,820 --> 00:08:50,720
+للزاية هاي او اعمل rotation للنقطة هذه بنقدار 45
+
+95
+00:08:50,720 --> 00:08:54,360
+درجة او بقدار ثيتا بعمل rotation للنقطة هذه بنقدار
+
+96
+00:08:54,360 --> 00:09:02,320
+ثيتا المفروض شباب احنا عندنا النقطة هذه عاملة زاية
+
+97
+00:09:02,320 --> 00:09:08,040
+أساسانسميها Beta أو عشان ما نخرب بكاش نقول هذه
+
+98
+00:09:08,040 --> 00:09:11,940
+الزاوية الأساسية Theta وأنا مطلوب إن أعمل rotation
+
+99
+00:09:11,940 --> 00:09:18,100
+المقدار Beta 45 درجة أكدنا على المبدأ إن ال
+
+100
+00:09:18,100 --> 00:09:21,540
+rotation للنقطة هذه لأ ببدأش عدد من الصفر ببدأ عدد
+
+101
+00:09:21,540 --> 00:09:28,320
+من ال current position يعني Beta بتتيجي هنا هذه
+
+102
+00:09:28,320 --> 00:09:28,960
+الزاوية Beta
+
+103
+00:09:32,170 --> 00:09:36,990
+45، 30، 20 حسب فبيستقيم إلى قيمة لحالها وقلنا ال
+
+104
+00:09:36,990 --> 00:09:40,590
+rotation دائما نص القطر فيه ثابت لأن أنا بتكلم عن
+
+105
+00:09:40,590 --> 00:09:43,870
+نقطة بدي اعملها rotation معناته هي عبارة عن جزء من
+
+106
+00:09:43,870 --> 00:09:51,130
+من دائرة وبالتالي هي النقطة الجديدة اللي هي Pbx
+
+107
+00:09:51,130 --> 00:09:57,540
+prime وPy prime النقطة تبعتيطيب مقدار ال notation
+
+108
+00:09:57,540 --> 00:10:01,460
+هذا احنا شوفنا المعادلة اللي اشتغلنا فيها ووصفت
+
+109
+00:10:01,460 --> 00:10:08,620
+معايا انه x prime حسب المعادلة هذه تساوي x في
+
+110
+00:10:08,620 --> 00:10:16,960
+cosine beta ناقص y في sine ال beta ال y prime بدها
+
+111
+00:10:16,960 --> 00:10:26,590
+تساوي x في sine beta زائد y cosine ال betaمصبور؟
+
+112
+00:10:26,590 --> 00:10:30,970
+لأن لما انا بدي اطلع للـ 3D هصير في عندي محور تالت
+
+113
+00:10:30,970 --> 00:10:36,330
+الـ Z-axis هاي الجلمة لما انا بدي اعمل rotation
+
+114
+00:10:36,330 --> 00:10:40,830
+بطلت ال rotation باتجاه واحد صارت ال rotation ممكن
+
+115
+00:10:40,830 --> 00:10:45,490
+تكون بأي اتجاه ما بين المحاور التلاتة اللي موجودة
+
+116
+00:10:45,490 --> 00:10:51,670
+عندي وبنفس المنطق السابق بدينا نتكلم انه انا في
+
+117
+00:10:51,670 --> 00:10:57,800
+هنا فعليا انا بتكلم علىالـ Rotation بين تلت أو بين
+
+118
+00:10:57,800 --> 00:11:02,840
+تلت محاور بوجود التلت محاور أنا بدي أسأل نفسي
+
+119
+00:11:02,840 --> 00:11:07,700
+الزاوية تبعتي لما بدي أعملها Rotation الآن او عفوا
+
+120
+00:11:07,700 --> 00:11:12,380
+المقطة تبعتي لما انا بدي أحركها بين أي محورين أو
+
+121
+00:11:12,380 --> 00:11:18,620
+بدي أعملها دوران بين أي محورين الآن تخيل ايه؟ لأن
+
+122
+00:11:18,620 --> 00:11:24,050
+هي 3D object موجود قدامي وانا بدي أعمله Rotationهو
+
+123
+00:11:24,050 --> 00:11:29,750
+في احتمال ان اعمل روتيشن بين ال X و ال Y مصبوط او
+
+124
+00:11:29,750 --> 00:11:37,430
+بين Y و Z او X و Z فانت الآن هذه المحاول التلاتة
+
+125
+00:11:37,430 --> 00:11:42,550
+بدك تحددها بشكل واضح الآن اذا كان والله انا بدي
+
+126
+00:11:42,550 --> 00:11:48,750
+اثبت او الدوران تبعي حوالين ال Z axis يعني ال Z مش
+
+127
+00:11:48,750 --> 00:11:53,580
+هصير عليه تغييرنفس القانون السابق كمان مرة لما
+
+128
+00:11:53,580 --> 00:11:59,280
+قعدت بدي أجي أقول rotate about الـ Z axis يعني ال
+
+129
+00:11:59,280 --> 00:12:03,420
+X و ال Y .. الدوران ما بين X و Y لما بدي أجي أقول
+
+130
+00:12:03,420 --> 00:12:08,880
+دوران تبع لل X axis الدوران بين Y و Z لما بدي أجي
+
+131
+00:12:08,880 --> 00:12:14,020
+أقول دوران تبع لل Y axis الدوران بين Z و X فهذا
+
+132
+00:12:14,020 --> 00:12:17,040
+الكلام بدوني أنت تنتبهله بشكل كويس وبالتالي
+
+133
+00:12:17,040 --> 00:12:20,240
+المعاملات تبعتي اللي هتختلف هيها بالشكل هذا
+
+134
+00:12:21,670 --> 00:12:25,970
+Rotation تبع لل X Axis X ثابتة هي صارت فيهم دي
+
+135
+00:12:25,970 --> 00:12:33,010
+قانون ال Y قانون نفس القانون بس ترتيبهم الآن
+
+136
+00:12:33,010 --> 00:12:38,430
+وانتبه من المعادلة كمان لكن
+
+137
+00:12:38,430 --> 00:12:43,650
+لما انا بدي اجي اقول دوران تبع لل Y Axis اختلفت
+
+138
+00:12:43,650 --> 00:12:47,950
+معايا شغلة واحدة بس يا شباب انت تتذكر لما قلنا
+
+139
+00:12:47,950 --> 00:12:55,310
+بنعمل الدوران بين I وJOkay أنا بدي أشغل عكس على
+
+140
+00:12:55,310 --> 00:12:58,770
+قارب الساعة و لما أنا بدي أجمع X و Y مع بعض
+
+141
+00:12:58,770 --> 00:13:04,370
+الدوران تبعي حيصير مع قارب الساعة بس هتختلف معاه
+
+142
+00:13:04,370 --> 00:13:12,990
+الترتيب X' يتساوى Z لاحظ Z في Sine Beta زائد X في
+
+143
+00:13:12,990 --> 00:13:18,660
+Cosine Beta اللي هو القرار السابق تبقى تلو الأنزد
+
+144
+00:13:18,660 --> 00:13:23,220
+برايند يتساوي زد في كزايل لاقص يعني بس بتدلني
+
+145
+00:13:23,220 --> 00:13:29,760
+الإشارة تبع السالب ال X والY ال X والZ بس في ال Z
+
+146
+00:13:29,760 --> 00:13:33,620
+أما بين ال X والY و بين ال Z والY ماكانش في عندي
+
+147
+00:13:33,620 --> 00:13:42,080
+أي مشكلة وبما أن هذه القوانينالدوران تباعهم مهم و
+
+148
+00:13:42,080 --> 00:13:45,480
+يطبق في كل ال animation حتما إلا شوفت animation
+
+149
+00:13:45,480 --> 00:13:50,660
+اللاعب الكورة بيجري و وجعك تمام؟ او والله طيارة و
+
+150
+00:13:50,660 --> 00:13:55,000
+سقطت لما تيجي تفجع الطيارة بتلاقيها .. تقول ايش
+
+151
+00:13:55,000 --> 00:13:59,840
+تقول يا .. كابتن ماجد بيلوف اربع خمس لفات في
+
+152
+00:13:59,840 --> 00:14:03,060
+الهواء بكل الاتجاهات قبل ما يقدروا بالكورة الان
+
+153
+00:14:03,060 --> 00:14:07,000
+تبقى ان ال 3D هي .. تخيل الطيارة هي مجسم 3D الان
+
+154
+00:14:07,000 --> 00:14:16,510
+هي مجسم 3Dالـ Y والـ X والـ Z فيك تتخيل الآن فعليا
+
+155
+00:14:16,510 --> 00:14:21,910
+الطيارة تبعد لأي محور ممكن تعمل rotation الآن إذا
+
+156
+00:14:21,910 --> 00:14:30,850
+كنت بتكلم الدوران ما بين X Y بدي أسميه roll والـ X
+
+157
+00:14:30,850 --> 00:14:34,770
+الـ Z axis هو الثابت اللي عندي يعني هو كأنه أنا
+
+158
+00:14:34,770 --> 00:14:41,120
+ثبتت الـ Z مسكته مكانه وصار فيه end of rotationبين
+
+159
+00:14:41,120 --> 00:14:46,780
+ال X و ال Y ال patch لما يكون about ال X axis يعني
+
+160
+00:14:46,780 --> 00:14:55,740
+انا ثبت ال X و قلت الدوران بين ال Y و ال Z لما انا
+
+161
+00:14:55,740 --> 00:15:00,840
+بده اقول حوالين ال Y axis ال Yار تمام معناته بين
+
+162
+00:15:00,840 --> 00:15:08,700
+ال X و ال Zوبالتالي بمجرد انا قاعد اقول اعمل دوران
+
+163
+00:15:08,700 --> 00:15:11,400
+لنقطة .. لأن في الـ 3D مش هاروح اقولك تبقى على الـ
+
+164
+00:15:11,400 --> 00:15:16,860
+X axis الان في الـ 3D يا شباب مش هاروح اقولك اعمل
+
+165
+00:15:16,860 --> 00:15:23,120
+rotate بزاوية مقدارها كذا هاروح اقولك اعمل roll
+
+166
+00:15:23,120 --> 00:15:30,160
+rotation او اعمل roll بمقدار 30 درجة مباشرة لما
+
+167
+00:15:30,160 --> 00:15:36,370
+اقول rollمعرفش تثبت الـ Z والدوران بين X وY لو
+
+168
+00:15:36,370 --> 00:15:45,150
+قلتلك اروح اعمل Y بتلاتين درجة او مباشرة
+
+169
+00:15:45,150 --> 00:15:50,570
+تثبت ال Y والدوران بين X وY عشان اسهل عليك حفظ
+
+170
+00:15:50,570 --> 00:15:58,630
+المصفوفة هذه تمام احنا عادة بجينا نكتب cosine بيتا
+
+171
+00:15:58,630 --> 00:16:06,630
+مظبوط لقينة الزاوية بغض النظرCos-Sin Beta وهنا صفر
+
+172
+00:16:06,630 --> 00:16:17,750
+في الـ 2D مظبوط هنا Sin Beta Cos Beta صفر صفر صفر
+
+173
+00:16:17,750 --> 00:16:24,010
+واحد الآن نفس الترتيب هذا مش هيتغير لا مع ال roll
+
+174
+00:16:24,010 --> 00:16:27,910
+ولا مع ال pitch هيتغير وين عند الياه فقط
+
+175
+00:16:35,740 --> 00:16:39,780
+بس إشارتي السالب حُقها وين؟ تحت و طبعا ماتنساش
+
+176
+00:16:39,780 --> 00:16:42,780
+المحور يعني بين جثين لأن أنا بتتكلم على rotation
+
+177
+00:16:42,780 --> 00:16:51,240
+على الـYaw بتتكلم بصوفة أربعة في أربعة متفقين
+
+178
+00:16:51,240 --> 00:16:56,380
+احنا الصف الأخير صفر صفر صفر واحد و العمود الأخير
+
+179
+00:16:56,380 --> 00:17:11,630
+طبعا الان Yaw يعني X و Zكوزاين بيتا صفر صين بيتا
+
+180
+00:17:11,630 --> 00:17:23,130
+مش سالب الان تمام صفر الان
+
+181
+00:17:23,130 --> 00:17:30,370
+صفر واحد صفر صفر ليش الواحد لأن بقولنا قيمة ال Y
+
+182
+00:17:30,370 --> 00:17:40,480
+مش هتتغير ثابتة الان ماقصسين بيتا صفر كزاين بيتا
+
+183
+00:17:40,480 --> 00:17:46,620
+صفر بس اللي فرجت معاك يعني تخيل عند ال y عند ال y
+
+184
+00:17:46,620 --> 00:17:51,580
+الترتيب بده يكون عند إيش؟ بشكل عمود يعني بس السالب
+
+185
+00:17:51,580 --> 00:17:54,320
+المبدأ اللي موجود فوق في الصف بده تكون عند فيه
+
+186
+00:17:54,320 --> 00:17:58,740
+العمود لأنه شوف هاي هان هان هاي ال sign في نفس
+
+187
+00:17:58,740 --> 00:18:03,500
+الصفروهذا قلنا لك لأن المحاور فعليا الدوران يكون
+
+188
+00:18:03,500 --> 00:18:09,900
+عندى دوران عكسى الان
+
+189
+00:18:09,900 --> 00:18:16,940
+لو كان عندى 3D object مكعب
+
+190
+00:18:16,940 --> 00:18:20,700
+زى ما في فيلم transformers و بدهم يلجفون بعض
+
+191
+00:18:20,700 --> 00:18:27,060
+المكعب ده بنعزج من مكان لمكان كم مرة بدهم يعمل
+
+192
+00:18:27,060 --> 00:18:33,530
+rotation بأى اتجاهكل اتجاهات ولا لأ؟ الان يعني
+
+193
+00:18:33,530 --> 00:18:38,030
+بدون يعملوا rotation ل roll و rotation ل pitch و
+
+194
+00:18:38,030 --> 00:18:41,670
+rotation ل اليوم طب كده انا بدي اعملهم كلهم مع بعض
+
+195
+00:18:41,670 --> 00:18:45,850
+ماتنساش هم بدي اعملهم بالتدريج واحد ورا التاني ورا
+
+196
+00:18:45,850 --> 00:18:49,410
+التالت هو عبارة عن ضرر المصففات الان يعني الان لو
+
+197
+00:18:49,410 --> 00:18:54,810
+انا اجيب و قلتلك اعمل rotation ل ال 3D object بحيث
+
+198
+00:18:54,810 --> 00:19:00,340
+ان اليوم تلاتين اليوم تلاتينو ال pitch تلاتين و ال
+
+199
+00:19:00,340 --> 00:19:03,340
+role تلاتين و ال role تلاتين شو راح تروح تساوي
+
+200
+00:19:03,340 --> 00:19:10,760
+مباشرة هاي تلينها هاي x y زمت في واحد هذا prime
+
+201
+00:19:10,760 --> 00:19:16,580
+prime prime equal أول ما تبدأ ابدأ مع ال role
+
+202
+00:19:16,580 --> 00:19:22,180
+cosine تلاتين ماؤس
+
+203
+00:19:22,180 --> 00:19:31,970
+sin تلاتين صفر صفرصين التلاتين كزاين تلاتين صفر
+
+204
+00:19:31,970 --> 00:19:37,810
+صفر صفر صفر واحد صفر صفر صفر صفر صفر صفر صفر صفر
+
+205
+00:19:37,810 --> 00:19:38,310
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+206
+00:19:38,310 --> 00:19:44,190
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+207
+00:19:44,190 --> 00:19:48,710
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+208
+00:19:48,710 --> 00:19:55,370
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صمصبور Cos 30
+
+209
+00:19:55,370 --> 00:20:02,430
+-Sin 30 ليش؟
+
+210
+00:20:02,430 --> 00:20:14,130
+هذي بيكون صفر لأنه بالواي يزد صفر Cos 30-Sin 30
+
+211
+00:20:14,130 --> 00:20:18,870
+صفر الآن
+
+212
+00:20:18,870 --> 00:20:20,890
+صفر
+
+213
+00:20:22,020 --> 00:20:37,640
+Sin 30 Cos 30 0 0 0 1 الأخيرة Cos 30 تحتها صفر
+
+214
+00:20:37,640 --> 00:20:52,960
+ناقص Sin 30 0 0 1 0 0سين تلاتين صفر كزين تلاتين
+
+215
+00:20:52,960 --> 00:21:05,860
+صفر صفر صفر صفر واحد ضرب اكس واي زد واحد يحد
+
+216
+00:21:05,860 --> 00:21:09,800
+يقول هذا المعادلة جداش بدها حسبة هتكون صعبة احنا
+
+217
+00:21:09,800 --> 00:21:14,860
+لما نتكلم عن حسبة تستخدم ال calculator نعمهتاخد
+
+218
+00:21:14,860 --> 00:21:19,000
+منك واجهة واجهة طويل كمان لأنك بتضرب كل مصوفة زي
+
+219
+00:21:19,000 --> 00:21:22,660
+ما شوف ان هي عبارة عن different او followed up
+
+220
+00:21:22,660 --> 00:21:25,660
+translation، transformation لكن لما أنا بتتكلم ان
+
+221
+00:21:25,660 --> 00:21:29,260
+ال computer هو اللي بنفذها عنك بس كل اللي عليك
+
+222
+00:21:29,260 --> 00:21:34,900
+تحدد المصوفة اللي هي تمام بتزوده بالزاوية لأن هذا
+
+223
+00:21:34,900 --> 00:21:39,140
+القانون يُكتب لمرة واحدة بس المتدير عندك قيمة
+
+224
+00:21:39,140 --> 00:21:41,520
+الزاوية وبالتالي ال execution أو الحساب تبعتك
+
+225
+00:21:41,520 --> 00:21:50,650
+هتكونأسهل بكتير تمام يا شباب؟ طيب الان لما انا
+
+226
+00:21:50,650 --> 00:21:53,410
+بتتكلم على transformation كل كلامنا السابق كان
+
+227
+00:21:53,410 --> 00:21:58,770
+transformation ل object و بين جسين كنت بعمل
+
+228
+00:21:58,770 --> 00:22:01,650
+transformation لل object في ال 3D او في ال 2D
+
+229
+00:22:01,650 --> 00:22:04,470
+shapes بما ان انا على النقطة يعني باخد النقطة و
+
+230
+00:22:04,470 --> 00:22:08,590
+بعملها transformation مصبوط؟ طيب لما انا بتكلمك
+
+231
+00:22:08,590 --> 00:22:15,060
+على ال vectorيعني الأقل لو كان فيه position vector
+
+232
+00:22:15,060 --> 00:22:21,000
+ايش
+
+233
+00:22:21,000 --> 00:22:25,280
+يعني position vector يا شباب position vector فيه
+
+234
+00:22:35,030 --> 00:22:39,850
+معناته بدأ من النقطة الأصل لو أنا إجيت قلتلك بدي
+
+235
+00:22:39,850 --> 00:22:45,790
+أعمل لـ vector هذا translation بمقدار خمسة على ال
+
+236
+00:22:45,790 --> 00:22:51,770
+X axis و اتنين على ال Y axis في مجال؟ أه في مجال،
+
+237
+00:22:51,770 --> 00:22:56,510
+أيش اللي بده يتغير أساساً؟ يعني ال vector نفسه بده
+
+238
+00:22:56,510 --> 00:22:59,750
+ينزح لما أنا بدي أقولك بدي أعمل له rotation لل
+
+239
+00:22:59,750 --> 00:23:04,580
+vector هذا معناه تهيي ال vectorلورا أو لقدام و لو
+
+240
+00:23:04,580 --> 00:23:07,720
+كان في الـ 3D بنفس المنطقه اللي احنا بنتكلم عليه
+
+241
+00:23:07,720 --> 00:23:13,200
+لو انا بدي اعمله reflection انعكاس على ال X axis
+
+242
+00:23:13,200 --> 00:23:20,820
+ال Y axis او ال X axis تمام؟ او حسب نقطه الاصل او
+
+243
+00:23:20,820 --> 00:23:26,780
+انعكاس حسب نقطه معينه فالان ايش اللي هيتغير عندى؟
+
+244
+00:23:26,780 --> 00:23:29,440
+ايش اللي هيتغير عندى؟ ان انا كنت بتعامل مع نقطة
+
+245
+00:23:33,110 --> 00:23:35,250
+الان بيصير اتعامل معانا قطعين اللي هو بمثل ال
+
+246
+00:23:35,250 --> 00:23:39,590
+vector طيب او بين جثين شابه او تلاتة زي ما انا
+
+247
+00:23:39,590 --> 00:23:47,090
+بتكلمها بس في الآخر لما كنت انا بتكلم على x و y و
+
+248
+00:23:47,090 --> 00:23:56,890
+z و 1 مش انا فعليا بتكلم على vector x y z vector
+
+249
+00:23:56,890 --> 00:24:03,740
+مصبوط كل الفكرة عندي ان احددمصفوفة لـ Transforms
+
+250
+00:24:03,740 --> 00:24:07,380
+ومش هتفرج معايا بعد هي كده انا بتكلم عليه لأن احنا
+
+251
+00:24:07,380 --> 00:24:12,200
+اتفقنا في ال vector هذه هي عبارة عن Delta X Delta
+
+252
+00:24:12,200 --> 00:24:20,560
+Y Delta Z هاي ال vector component مصبوط وبناء
+
+253
+00:24:20,560 --> 00:24:24,100
+انا عليه انا التعامل مش هيتغير ولا حاجة تقولي بدي
+
+254
+00:24:24,100 --> 00:24:27,160
+اعمل transformation ل vector ولا بدي اعمل
+
+255
+00:24:27,160 --> 00:24:32,490
+transformation لنقبة بنفس ال concept بدون ايتغير
+
+256
+00:24:32,490 --> 00:24:36,670
+طيب بما انه بتكلم على delta X و delta Y مياته ايه
+
+257
+00:24:36,670 --> 00:24:40,650
+ال vector تبعي الفرق بين النقطين مياته بحط الفرق
+
+258
+00:24:40,650 --> 00:24:44,890
+بين النقطين الموجودات اللي عندي هان واحد ناقص واحد
+
+259
+00:24:44,890 --> 00:24:49,610
+هتصير صفر مصبوط وكأنه ال vector تبعي في الاتجاه
+
+260
+00:24:49,610 --> 00:24:55,410
+الرابع مش موجود مالوش قيمة مصبوط وبالتالي فعليا
+
+261
+00:24:55,410 --> 00:25:00,580
+انا صار ال vector تبعيهي بشكل صحيح وبالتالي هذه
+
+262
+00:25:00,580 --> 00:25:03,720
+الصفر كمان هتبطلها لازم عندي عشان ال homogenous
+
+263
+00:25:03,720 --> 00:25:07,940
+coordinate خلاص لازم ده القيمة القيمة اللي هان هي
+
+264
+00:25:07,940 --> 00:25:11,660
+نفسها القيمة اللي موجودة عندها واضحة الأمور يا
+
+265
+00:25:11,660 --> 00:25:16,380
+شباب يعني كمان مرة انا انتقالي من ال transforms
+
+266
+00:25:16,380 --> 00:25:22,060
+اللي كنت بعملها لنقطة واحدة او لل object او لل
+
+267
+00:25:22,060 --> 00:25:27,030
+shape في ال 2Dهي نفس اللى هتنتقل لما انا اتكلم على
+
+268
+00:25:27,030 --> 00:25:33,190
+transformation لل vector مع استبدال الواحد الواحد
+
+269
+00:25:33,190 --> 00:25:38,970
+في ال homogeneous point بصفر ليش؟ للمنطق اللى
+
+270
+00:25:38,970 --> 00:25:45,310
+موجود عندى هنا انا الان ال vector محصور بين نقطين
+
+271
+00:25:45,310 --> 00:25:50,170
+من B1 لB2
+
+272
+00:25:51,080 --> 00:26:00,240
+طبيعي Delta X بدأ تساوي X2 نقص X1 Delta Y Y2 نقص
+
+273
+00:26:00,240 --> 00:26:11,160
+Y1 Delta Z Z2 نقص Z1 الان كل الشغل السابق ان كل
+
+274
+00:26:11,160 --> 00:26:16,400
+النقطة هذه X1 Y1 و Z1 اللي هم homogeneous
+
+275
+00:26:16,400 --> 00:26:20,840
+coordinateمظبوط؟ مع الواحد وهذه بتمثلها من ال
+
+276
+00:26:20,840 --> 00:26:28,160
+homogenous coordinate التاني X2 Y2 Z2 و 1 فال
+
+277
+00:26:28,160 --> 00:26:31,020
+magnitude تبعتي ال vector او تمثيل ال vector عندي
+
+278
+00:26:31,020 --> 00:26:38,780
+بتطلب مني اقوله واحد ناقص واحد يتساوي الصفر وبناء
+
+279
+00:26:38,780 --> 00:26:44,080
+عليه انا صار في عندي ال vector تبعي ماتغيرش عليه
+
+280
+00:26:44,080 --> 00:26:45,540
+ولا حاجة
+
+281
+00:26:51,510 --> 00:26:58,470
+بالمثال لأنها بقول لي بدي
+
+282
+00:26:58,470 --> 00:27:03,990
+أغير المحاور تبع الكاميرا ال virtual camera تبعتي
+
+283
+00:27:03,990 --> 00:27:10,990
+بحيث انه تعمل roll بمقدار 180 درجة و pitch ب 90 و
+
+284
+00:27:10,990 --> 00:27:16,470
+y و yaw ب 90 وتعمل كمان إزاحة يعني انت تخيل النقطة
+
+285
+00:27:16,470 --> 00:27:21,270
+كانت هنا الكاميرا واقفة هناتمام و بتصور مشهد الان
+
+286
+00:27:21,270 --> 00:27:26,070
+الكاميرا بدها تجيب المشهد نفسه لكن من زاوية تانية
+
+287
+00:27:26,070 --> 00:27:30,490
+من زاوية تانية بما انه انا بتكلم في الـ3D معناته
+
+288
+00:27:30,490 --> 00:27:33,290
+ال rotation تبع تبع الزاوية او تبع الكاميرا بيكون
+
+289
+00:27:33,290 --> 00:27:39,170
+في الـ3D في الـ3D لان هو فعليا لما احنا بنشوف في
+
+290
+00:27:39,170 --> 00:27:45,980
+ال movie المكعب بيتغير او بتشجلكل التصميم تبقى على
+
+291
+00:27:45,980 --> 00:27:51,080
+الكمبيوتر أنا مافيش ياندير 3D بس إيش بغير بغير ال
+
+292
+00:27:51,080 --> 00:27:54,240
+site بغير ال position تبعت الكاميرا عشان يعرضلي
+
+293
+00:27:54,240 --> 00:27:56,940
+object أو ال object check ال object من مجزايا
+
+294
+00:27:56,940 --> 00:28:03,640
+تانية طيب وبالتالي أن الآن بناء أنا على الزوايا
+
+295
+00:28:03,640 --> 00:28:08,260
+اللي عندي يا شباب إيش اللي بيلزمني؟
+
+296
+00:28:08,260 --> 00:28:10,540
+بدي أحسب ال sine و ال cosine لكل زوايا من الزوايا
+
+297
+00:28:10,540 --> 00:28:14,570
+اللي موجودة عندي هنا ولا لأ؟ طيب، الآنفي عندي sin
+
+298
+00:28:14,570 --> 00:28:22,010
+تسعين وفي عندي cos تسعين وعندي sin المية و تمانين
+
+299
+00:28:22,010 --> 00:28:28,070
+وعندي cos المية و تمانين انسى للقيم اللي موجودة
+
+300
+00:28:28,070 --> 00:28:31,430
+هنا القيم اللي موجودة دلوقت تركز عليها تي اكس تي
+
+301
+00:28:31,430 --> 00:28:44,220
+واي تي زد مظبوط تي اكس اتنين تي وايالمفروض بالعكس
+
+302
+00:28:44,220 --> 00:28:49,400
+مش مشكلة كتير طيب الآن المفروض لأن هذا المفروض ال
+
+303
+00:28:49,400 --> 00:28:57,920
+translation هنا 2 وهذا صفر طيب الآن خلّيني أعدلها
+
+304
+00:28:57,920 --> 00:29:09,860
+مش مشكلة في ال party التاني يا صاحبي المهم
+
+305
+00:29:09,860 --> 00:29:15,990
+الآنلما بدي ادى اعوض ال coordinate اللى هان الشباب
+
+306
+00:29:15,990 --> 00:29:23,690
+كانت كزاين كزاين مين رول كزاين المية و تمانين
+
+307
+00:29:23,690 --> 00:29:28,970
+كزاين المية و تمانين كده الشباب سالب واحد
+
+308
+00:29:34,490 --> 00:29:39,830
+الان كمان مرة رول رول يعني انت بتكلم coordination
+
+309
+00:29:39,830 --> 00:29:44,630
+بين cosine او بين ال X و ال Y فالقيم اللي موجودة
+
+310
+00:29:44,630 --> 00:29:47,570
+عندها وبالتالي المصفوفة تبعتها ده هي بناء على
+
+311
+00:29:47,570 --> 00:29:53,990
+القيم اللي موجودة هنا هطبقنا هنا المفروض ال roll
+
+312
+00:29:53,990 --> 00:29:55,310
+هطبقنا
+
+313
+00:29:59,680 --> 00:30:03,140
+على القيم اللي موجودة عندى لو كانت النقطة ما بين
+
+314
+00:30:03,140 --> 00:30:08,120
+كده في الآخر في الآخر المصفوفة الواحدة تبعتي انا
+
+315
+00:30:08,120 --> 00:30:14,300
+هان بما انه مافيش تعارض بين القيم اللي موجودة طيب
+
+316
+00:30:14,300 --> 00:30:20,360
+هنحنقولها سالب واحد بالدرجة الاولى مصبوط طيب pitch
+
+317
+00:30:20,360 --> 00:30:30,680
+بين X Y و Z واليهو X و Yالـ X و Z الكوزاين تبعي
+
+318
+00:30:30,680 --> 00:30:36,720
+التسعين صفر صفر لما بتروح تضربها في سالب واحد لما
+
+319
+00:30:36,720 --> 00:30:44,240
+تنساش يعني الآن بدك تتذكر المصففات كل آياتهم ايوة
+
+320
+00:30:44,240 --> 00:30:50,460
+بدك تتذكر المصففات كلهم التلاتة الآن سالب واحد
+
+321
+00:30:50,460 --> 00:30:52,500
+مظبوط هذا بتاعة ال roll
+
+322
+00:30:55,320 --> 00:31:01,440
+وين؟ طيب سالب واحد ال sign ال 180 يا شباب صفر
+
+323
+00:31:01,440 --> 00:31:06,680
+الصفر ال translation ممكن نحطه في مصفوفه لحاله في
+
+324
+00:31:06,680 --> 00:31:16,240
+الآخر مصبوط؟ أي صفر؟ الآن ال sign ال 180 صفر ال
+
+325
+00:31:16,240 --> 00:31:17,820
+cosine ال 180 نقص
+
+326
+00:31:21,250 --> 00:31:24,070
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+327
+00:31:24,070 --> 00:31:24,530
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+328
+00:31:24,530 --> 00:31:24,950
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+329
+00:31:24,950 --> 00:31:26,930
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+330
+00:31:26,930 --> 00:31:31,870
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+331
+00:31:31,870 --> 00:31:40,510
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+332
+00:31:40,510 --> 00:31:45,750
+صفر صفر
+
+333
+00:31:45,750 --> 00:31:53,460
+صفصفر صفر
+
+334
+00:31:53,460 --> 00:32:04,880
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+335
+00:32:04,880 --> 00:32:09,520
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+336
+00:32:09,520 --> 00:32:10,100
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+337
+00:32:10,100 --> 00:32:14,060
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+338
+00:32:14,060 --> 00:32:17,460
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+339
+00:32:17,870 --> 00:32:25,810
+صفر سالب واحد sign هذه ال sign لأنه سالب واحد سالب
+
+340
+00:32:25,810 --> 00:32:33,030
+ال sign سالب ال sign الآن sign و صفر طبعا في اللي
+
+341
+00:32:33,030 --> 00:32:37,710
+بعدها في الآخر لما تبدأ تضرب كل العناصر هذه هتصفيه
+
+342
+00:32:37,710 --> 00:32:41,950
+هذه المسئولة تبعد كل ال transformation اللي احنا
+
+343
+00:32:41,950 --> 00:32:47,920
+جاب اللحظة رمزناها يا شباببالـ Q هي مجموعة الـ
+
+344
+00:32:47,920 --> 00:32:52,220
+Matrix تبعت لـ Transformation للانضرارات في بعضها
+
+345
+00:32:52,220 --> 00:32:55,500
+وبالتالي
+
+346
+00:32:55,500 --> 00:33:01,420
+النقطة تبعتي اللي أنا بأتكلم عليها لو بدوا يديني
+
+347
+00:33:01,420 --> 00:33:04,520
+أي نقطة وين بده يصير ال position تبعت الكاميرا
+
+348
+00:33:04,520 --> 00:33:06,860
+كانت في النقطة الفلانية وصارت للنقطة الفلانية
+
+349
+00:33:06,860 --> 00:33:11,180
+بالتالي أنا بقدر بتكلم بقولك هذه ال point هذه ال
+
+350
+00:33:11,180 --> 00:33:14,680
+transform للنقطة هيه بيعني انا بتكلم على ال vector
+
+351
+00:33:14,680 --> 00:33:26,730
+هيهما بين النقطتين الموجودات هنا طيب ولا حاجة بس
+
+352
+00:33:26,730 --> 00:33:29,270
+انت بتكون عرفت اتجاه الكاميرا او الكاميرا وين ال
+
+353
+00:33:29,270 --> 00:33:32,350
+position الجديد تبعتها as a vector لان احنا اتفقنا
+
+354
+00:33:32,350 --> 00:33:35,850
+بين الكاميرا و ال object عليه بين الكاميرا و ال
+
+355
+00:33:35,850 --> 00:33:40,810
+object اللي عندي دائما vector مصبور؟ الان انا غيرت
+
+356
+00:33:40,810 --> 00:33:45,470
+ال position تبعت الكاميراعملت rotation للكاميرا
+
+357
+00:33:45,470 --> 00:33:49,370
+بناء على ال roll و ال pitch و ال yaw معناته انا
+
+358
+00:33:49,370 --> 00:33:52,530
+غيرت اتجاهها و هي عملت rotation لل vector اللي
+
+359
+00:33:52,530 --> 00:33:55,390
+موجود بين الكاميرا و ال object فاما اكون حصلت على
+
+360
+00:33:55,390 --> 00:33:58,790
+ال
+
+361
+00:33:58,790 --> 00:34:01,250
+object الجديد اللي موجود عندى بعد عملته ال
+
+362
+00:34:01,250 --> 00:34:05,650
+transformation بناء على ال Q اللي موجودة عالميا
+
+363
+00:34:08,120 --> 00:34:11,040
+يعني هو .. كمان مرة شاب .. هذا السؤال لا يعدوا ..
+
+364
+00:34:11,040 --> 00:34:14,240
+لا يعدوا عن كونه ان هو بيقولك اعمل rotate .. او
+
+365
+00:34:14,240 --> 00:34:19,680
+اعمل rotation لـ vector طب ال vector وين هو موجود؟
+
+366
+00:34:19,680 --> 00:34:22,020
+موجود بين نقطة الكاميرا و ال object اللي .. و ال
+
+367
+00:34:22,020 --> 00:34:24,040
+face اللي بيصوره في ال object زي ما شوفنا في ال
+
+368
+00:34:24,040 --> 00:34:27,120
+chapter الماضي فحددلك point .. two points عشان
+
+369
+00:34:27,120 --> 00:34:30,020
+تجيب ال vector اللي بينهم و تقدر تعمله rotation
+
+370
+00:34:30,020 --> 00:34:33,400
+بدي اعمله rotation لان الواحد هو .. انا ما زلت
+
+371
+00:34:33,400 --> 00:34:37,320
+بتكلم على ..على الـ VIX القيمة الأخيرة صفر لإن أنا
+
+372
+00:34:37,320 --> 00:34:40,500
+بتتكلم على Vector هنالك وما كنت بتتكلم على كل نقطة
+
+373
+00:34:40,500 --> 00:34:43,380
+لكن هنالك بتتكلم على ال vector اللي موجود بينهم
+
+374
+00:34:43,380 --> 00:34:46,380
+وبالتالي أنا بعمل rotation لل vector حسب الحاجة
+
+375
+00:34:46,380 --> 00:34:52,920
+وهيك بيقولوا إحنا خلصنا ال transformation في 3D
+
+376
+00:34:52,920 --> 00:34:58,100
+خلصنا ال transformation في 3D كمان مرة الأمر ولا
+
+377
+00:34:58,100 --> 00:35:02,780
+حاجة أفرج عن السابقهي نفس الكلام بس الـ A نتبينه
+
+378
+00:35:02,780 --> 00:35:06,920
+لإنه أنا بتكلم على الـ 3D وأصعبهم كانت كمان مرة في
+
+379
+00:35:06,920 --> 00:35:10,220
+الـ rotation أصعبهم كانت في الـ rotation لإنه
+
+380
+00:35:10,220 --> 00:35:13,660
+بتكلم على الـ 3D معناته أنا بدي أتكلم على تلت
+
+381
+00:35:13,660 --> 00:35:17,800
+زوايا عالي للمحاول للدورانة بجوالك تلت زوايا
+
+382
+00:35:17,800 --> 00:35:21,280
+مختلفة وبالتالي بدك تعمل translation أو عفوا ل
+
+383
+00:35:21,280 --> 00:35:24,900
+transforms على التلت زوايا بالترتيب عشان تحصل على
+
+384
+00:35:27,340 --> 00:35:30,920
+وين؟ اللي أنا بدي حطه في الآخر بدي حطه كمصفوفة
+
+385
+00:35:30,920 --> 00:35:35,660
+لحالها لما أقول أجي أقوله هنا واحد صفر صفر اتنين
+
+386
+00:35:35,660 --> 00:35:42,000
+صفر واحد صفر اتنين صفر صفر واحد صفر صفر صفر صفر
+
+387
+00:35:42,000 --> 00:35:47,280
+واحد لأن كل matrix مثلت ال transforms لحالها
+
+388
+00:35:47,280 --> 00:35:53,940
+translation
+
+389
+00:35:53,940 --> 00:35:56,940
+ياو
+
+390
+00:35:57,430 --> 00:36:04,570
+Pitch Roll بظبط وبالتالي أنا بضرب هاي في الأول
+
+391
+00:36:04,570 --> 00:36:09,370
+بعدين بضرب الناتج التاني بعدين التالت بعدين بروح
+
+392
+00:36:09,370 --> 00:36:14,130
+بعمل translation لكل .. لولا الناتج اللي موجود
+
+393
+00:36:14,130 --> 00:36:17,270
+عندي لأنه كمان مرة بقدرش أن أروح أطبق كل
+
+394
+00:36:17,270 --> 00:36:22,610
+transforms دفعة واحدة مافيش الحل الآن هو عبارة عن
+
+395
+00:36:22,610 --> 00:36:25,860
+هاي ال .. هاي ال computation تبعتيحسب الأولويات
+
+396
+00:36:25,860 --> 00:36:32,760
+هدى و هدى بنفس الحدى و بنفع تضرب، هيك؟ أه، بينفع،
+
+397
+00:36:32,760 --> 00:36:36,060
+مافي مشكلة، لإن المصوفة 4×4 تضربها المصوفة 4×4
+
+398
+00:36:36,060 --> 00:36:40,420
+الناتج، 4×4، بتبقى لك ماشي لما تتقلص في الآخر
+
+399
+00:36:40,420 --> 00:36:47,760
+المصوفة، 4×4 تضربها 4×1، بيكون النتج عندي 4×1، بس،
+
+400
+00:36:47,760 --> 00:36:51,320
+عشان هيكده، أنا قلتلك هان، أو في الحل هذا، أنا
+
+401
+00:36:51,320 --> 00:36:55,440
+بحاجة لنعمل ال transformations اللي عندي،بشكل
+
+402
+00:36:55,440 --> 00:37:02,720
+مختلف. الآن، ممكن
+
+403
+00:37:02,720 --> 00:37:06,820
+السؤال تكون مختلف شوية. الآن أثناء الـRotation،
+
+404
+00:37:06,820 --> 00:37:10,820
+الكاميرا بس اللي انتقلت، ما اتكلمش على any
+
+405
+00:37:10,820 --> 00:37:14,600
+scaling. لو قلنا لك إن الكاميرا قربت من الـObject
+
+406
+00:37:14,600 --> 00:37:18,860
+هذا، يعني الـObject بنعمله Scale. إيش
+
+407
+00:37:18,860 --> 00:37:20,860
+الـTransformation اللي أنا ببدي أعملها؟ بدي أبوي
+
+408
+00:37:20,860 --> 00:37:24,400
+فيه كمان Transformation، كمان Matrix.اللي هى علاقة
+
+409
+00:37:24,400 --> 00:37:28,480
+فى مين بالـ Scale وبرجع بأكد عليكوا يا شباب هذا
+
+410
+00:37:28,480 --> 00:37:31,500
+الكلام انت بس المطموع منك تحدد ال factors
+
+411
+00:37:31,500 --> 00:37:36,560
+والمعادلة هذه تُكتب لمرة واحدة لما انا مابكنش فيه
+
+412
+00:37:36,560 --> 00:37:40,880
+Hand Translation طيب
+
+413
+00:37:40,880 --> 00:37:44,460
+ماهى هذه هتكون العمود الأخير؟صفر صفر صفر أو
+
+414
+00:37:44,460 --> 00:37:47,260
+بينجوسيلة المصفوفة دي عبارة عن identity matrix
+
+415
+00:37:47,260 --> 00:37:51,220
+اللي هو فيها عناصر قطر الرئيس تبعتها واحد لما
+
+416
+00:37:51,220 --> 00:37:55,120
+بتضربها في أي matrix من نفس الحجم تبدأ ال matrix
+
+417
+00:37:55,120 --> 00:38:00,540
+منه تغيير فضل الخدر عشان
+
+418
+00:38:00,540 --> 00:38:05,700
+الحل عشان
+
+419
+00:38:05,700 --> 00:38:08,120
+الحل مدك أرقام
+
+420
+00:38:14,890 --> 00:38:23,630
+عشان تكرمها هلأ اي سؤال .. اي
+
+421
+00:38:23,630 --> 00:38:28,090
+سؤال يا سيدي اعتبره زي ما هو بس تعال حله الان كمان
+
+422
+00:38:28,090 --> 00:38:32,410
+مرة يا شباب اقولك ال virtual camera تبعتي بدون
+
+423
+00:38:32,410 --> 00:38:37,450
+عملها rotation virtual camera بدون عملها rotation
+
+424
+00:38:37,450 --> 00:38:40,870
+بمقدار .. الان هذه البيانات الخاصة بال rotation
+
+425
+00:38:46,010 --> 00:38:51,630
+rotation يعني في عند الاني خضر دوران بين ال X و ال
+
+426
+00:38:51,630 --> 00:38:55,230
+Y في عنده rotation بين ال Y و ال Z وفي عنده
+
+427
+00:38:55,230 --> 00:38:59,490
+rotation بين ال Z و ال X ومش بس هيك بدون أعملها
+
+428
+00:38:59,490 --> 00:39:06,750
+كمان إزاحة translation بناء على الكلام السابق
+
+429
+00:39:06,750 --> 00:39:11,090
+القانون السابق احنا قلنا قبل شوية ان الأمر بسيط ان
+
+430
+00:39:11,090 --> 00:39:13,830
+في عندي بس زاويتين cosine ال 180 شباب
+
+431
+00:39:16,590 --> 00:39:32,130
+cos 180 cos 180 كده؟ سالب واحد صفر الآن cos 90 صفر
+
+432
+00:39:32,130 --> 00:39:38,600
+cos 90بواحد هدولة هما القنطين اللي انت هتستفيد
+
+433
+00:39:38,600 --> 00:39:42,740
+منهم المطلوب منك عشان تقدر تعمل rotation انا بقولك
+
+434
+00:39:42,740 --> 00:39:45,680
+بدي اختصر عليك السؤال و راح أقولك بس هاتني ال Q
+
+435
+00:39:45,680 --> 00:39:52,500
+matrix تبع ال transformation تحط الأربع جانب بعض و
+
+436
+00:39:52,500 --> 00:39:59,740
+تضربهم الآن أد في مين؟ في اللي بدك إياه في اللي
+
+437
+00:39:59,740 --> 00:40:03,960
+بدك إياه مش هتفرج معانا كتيربارد مصفاتي الان اللي
+
+438
+00:40:03,960 --> 00:40:08,940
+بدو يصير الان ابدأ بال translation بال translation
+
+439
+00:40:08,940 --> 00:40:14,140
+ال translation بتقتضي الان ال translation يا خضر
+
+440
+00:40:14,140 --> 00:40:20,700
+تقدر تذكر المصوية لل translation ك transform واحد
+
+441
+00:40:20,700 --> 00:40:24,380
+صفر صفر قيمة لل translation عند ال X
+
+442
+00:40:28,850 --> 00:40:36,230
+صفر واحد صفر صفر
+
+443
+00:40:36,230 --> 00:40:40,390
+صفر
+
+444
+00:40:40,390 --> 00:40:48,710
+واحد صفر
+
+445
+00:40:48,710 --> 00:40:55,870
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+446
+00:40:55,870 --> 00:40:56,110
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+447
+00:40:56,110 --> 00:40:56,230
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+448
+00:40:56,230 --> 00:40:56,310
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+449
+00:40:56,310 --> 00:41:00,600
+صفر صفر صفر صفر صفر صفر صفر صفر صقل يعني x و y
+
+450
+00:41:00,600 --> 00:41:09,680
+بدينها بcos 180 سالب واحد سالب
+
+451
+00:41:09,680 --> 00:41:21,580
+ثاني 180 صفر صفر صفر الآن ثاني 180 صفر لا مش سالب
+
+452
+00:41:21,580 --> 00:41:31,460
+تنموجا cos 180 سالب واحدفيش سالم في التانية في
+
+453
+00:41:31,460 --> 00:41:36,200
+المعادلة الأولى في الموجة بقول سالم فقط x prime
+
+454
+00:41:36,200 --> 00:41:43,140
+بنت ساوي x cosine beta ناقص y في sine ال beta y
+
+455
+00:41:43,140 --> 00:41:48,860
+prime بنت ساوي x في sine beta زائد y cosine beta
+
+456
+00:41:48,860 --> 00:41:52,240
+الآن
+
+457
+00:41:52,240 --> 00:41:57,900
+صفر صفر صفر صفر واحد صفر
+
+458
+00:42:04,290 --> 00:42:08,010
+Where؟ طب انت لما تحط .. يعني ده لإن الـ Z .. Z
+
+459
+00:42:08,010 --> 00:42:12,810
+prime هتساوي Z Z prime هتساوي Z انت لو حطيت مكانة
+
+460
+00:42:12,810 --> 00:42:19,610
+صفر مها تجتلتها المعادلة اللي بقى بيها ال pitch
+
+461
+00:42:19,610 --> 00:42:29,790
+الدوران بين مين و مين Y و Z معناته ..
+
+462
+00:42:29,790 --> 00:42:37,420
+الآن في عند ال ..صفر الان كزاين التسعين كزاين
+
+463
+00:42:37,420 --> 00:42:41,180
+التسعين سالب
+
+464
+00:42:41,180 --> 00:42:45,740
+ساين التسعين صفر
+
+465
+00:42:45,740 --> 00:42:53,160
+الان ساين التسعين كزاين
+
+466
+00:42:53,160 --> 00:42:59,640
+التسعين المصفوفة
+
+467
+00:42:59,640 --> 00:43:02,220
+الأخيرة اللي هي اليوم
+
+468
+00:43:04,940 --> 00:43:19,480
+x cos 90 صفر صفر لل y الآن sin 90 موجب واحد صفر
+
+469
+00:43:19,480 --> 00:43:22,560
+صفر
+
+470
+00:43:22,560 --> 00:43:26,540
+واحد صفر صفر لأن ال y مافيش علاقة تغيير عند ال z
+
+471
+00:43:26,540 --> 00:43:35,640
+الآن سالب sin 90 سالب واحدصفر عند ال Y و صفر كزاين
+
+472
+00:43:35,640 --> 00:43:41,240
+التسعين صفر صفر صفر صفر واحد لإن حاصل أضارب الأربع
+
+473
+00:43:41,240 --> 00:43:49,820
+مصوفات هدور هي ال Q بتلاحظ ده كان صحيح اتا كده او
+
+474
+00:43:49,820 --> 00:43:55,260
+ليش لأ اذا انا قلتلك قد ال Q كيف يختاروا المصوفات
+
+475
+00:44:02,200 --> 00:44:05,560
+هضربك المصغفتين بس عشان أذكرك عملية الضرب يا صاحب
+
+476
+00:44:05,560 --> 00:44:08,460
+يا binary operation يعني انت بتخلص من أول تنتين و
+
+477
+00:44:08,460 --> 00:44:11,400
+تخلص من تنتين هداك جامعة ما هي انت بتخلص من هدولة
+
+478
+00:44:11,400 --> 00:44:14,420
+تنتين و تاخد الناتج و تضرب في التالتة و الناتج
+
+479
+00:44:14,420 --> 00:44:17,700
+تضرب في الرابعة ولا كيف بتفكر انت بقى تضرب يعني
+
+480
+00:44:17,700 --> 00:44:23,480
+تنتين تنتين واحد واحدة برضه صح بس في الآخر binary
+
+481
+00:44:23,480 --> 00:44:26,780
+operation لازم تضرب كل مصغفتين مع بعض مع جدران
+
+482
+00:44:26,780 --> 00:44:32,150
+ساعتين هضرب من غير الضربخلاص هي الصف الأول في
+
+483
+00:44:32,150 --> 00:44:36,010
+العمود الأول اضرب لحالك بعد هيك واحد في سالب واحد
+
+484
+00:44:36,010 --> 00:44:42,950
+صفر في صفر صفر في صفر اتنين في صفر سالب واحد الصف
+
+485
+00:44:42,950 --> 00:44:47,690
+الأول في العمود التاني واحد في صفر صفر صفر صفر
+
+486
+00:44:50,400 --> 00:44:53,820
+ضرب المصففات قلنا بتاخد الصف في الأول و بتضربه في
+
+487
+00:44:53,820 --> 00:44:56,180
+العمود الأول بتديك القيمة اللي موجودة تبقى نهاية
+
+488
+00:44:56,180 --> 00:45:00,260
+الصف في الأول بتاخد الصف و بتحطه عمود الجبال
+
+489
+00:45:00,260 --> 00:45:04,040
+الثاني واحد في واحد صفر زائد صفر في صفر زائد صفر
+
+490
+00:45:04,040 --> 00:45:09,580
+في صفر زائد اتنين في صفر معاتش سالب واحد هيا الان
+
+491
+00:45:09,580 --> 00:45:12,100
+الصف في الأول في العمود التاني بتديك المرمى التاني
+
+492
+00:45:12,100 --> 00:45:18,040
+في الصف الأول واحد في صفر صفر في سالب واحد صفر في
+
+493
+00:45:18,040 --> 00:45:19,800
+صفر اتنين في صفر صفر
+
+494
+00:45:23,070 --> 00:45:27,410
+واحد في صفر صفر في صفر صفر في صفر في واحد صفر في
+
+495
+00:45:27,410 --> 00:45:39,430
+اتنين صفر اتنين وصفتي عليه طيب ال
+
+496
+00:45:39,430 --> 00:45:43,530
+determinant بما ان احنا بتتكلم على مصففات هى شرحنا
+
+497
+00:45:43,530 --> 00:45:46,530
+ال determinant قبل ما نبلش بال transforms المرة
+
+498
+00:45:46,530 --> 00:45:50,350
+الماضية وانا هو بيقول هي المعادلة تبعت ال X prime
+
+499
+00:45:51,250 --> 00:45:54,210
+الـ Transformation تبعتي و هي المعادلة تبع ال Y
+
+500
+00:45:54,210 --> 00:45:56,950
+prime قلت انا ممكن استفيد من ال determinant
+
+501
+00:45:56,950 --> 00:46:00,290
+وشوفناه لما اتكلمنا على ال areas المساحات و قلنا
+
+502
+00:46:00,290 --> 00:46:04,790
+ال determinant او المحدد هي عبارة عن scalar value
+
+503
+00:46:04,790 --> 00:46:11,400
+العنايص المصفوفةبحيث إنه هي عبارة عن عناصر أو حاصل
+
+504
+00:46:11,400 --> 00:46:16,140
+ضرب عناصر القطر الرئيسي مطروح منهم حاصل ضرب عناصر
+
+505
+00:46:16,140 --> 00:46:19,940
+القطر الثانوي وقلنا لما بتكون المصوفة تلاتة في
+
+506
+00:46:19,940 --> 00:46:22,920
+تلاتة أو الـ determinant التابع تلاتة في تلاتة
+
+507
+00:46:22,920 --> 00:46:26,360
+بحدده أو بعمل المجموعة من المحدد ده تنين في اتنين
+
+508
+00:46:26,360 --> 00:46:30,460
+بناء على الصف الأول أو أي عمود الأول موجب سالب
+
+509
+00:46:30,460 --> 00:46:35,080
+موجب ارجع للشباطر السابق او تتذكر الكلام هذا أيه
+
+510
+00:46:35,080 --> 00:46:36,100
+اللي بدي أصل معاك
+
+511
+00:46:38,850 --> 00:46:42,210
+شو علاقة الـ determinant بالـ transformation
+
+512
+00:46:42,210 --> 00:46:48,670
+وحكيناها سابقا ان ال determinant بيمثل مساحة لتو
+
+513
+00:46:48,670 --> 00:46:54,290
+دي shape ال determinant بيمثل مساحة لتو دي shape
+
+514
+00:46:54,290 --> 00:47:04,030
+لو انا اديت بقلتلك بدي مساحة ال ايه يا شباب مساحة
+
+515
+00:47:04,030 --> 00:47:09,320
+ال ايهأه المعين اللي موجود عنده هان بدي مساحته
+
+516
+00:47:09,320 --> 00:47:15,760
+اجسمه مثلثين طيب لو انا فكرت انه ارسم مربع على
+
+517
+00:47:15,760 --> 00:47:20,640
+النقطة الأخيرة اللي عنده هان مربع يشمل المعين في
+
+518
+00:47:20,640 --> 00:47:25,380
+داخله واطرح منه المساحة الخارجية المساحة الخارجية
+
+519
+00:47:25,380 --> 00:47:31,380
+بالنسبالي معلومةلأن النقاط المعين هذه كلها معلومة
+
+520
+00:47:31,380 --> 00:47:35,900
+بالنسبالي وبالتالي انهايفي عندي هنا A وعندي هنا B
+
+521
+00:47:35,900 --> 00:47:39,880
+يعني الآن الضلع تبع المربع هذا أو المستطيل هذا هو
+
+522
+00:47:39,880 --> 00:47:45,200
+عبارة عن A زائد B والمساحة أو الارتفاع المستقل
+
+523
+00:47:45,200 --> 00:47:49,600
+اللي عندي C زائد D وبالنسبالي الـC هذه قيمتها
+
+524
+00:47:49,600 --> 00:47:57,750
+معلومة اللي هي B تمام؟في مين يا شباب؟ في C لأن هذا
+
+525
+00:47:57,750 --> 00:48:02,630
+المستقيل و هذا المستقيل متساوين و المثلث هذا و
+
+526
+00:48:02,630 --> 00:48:07,430
+المثلث هذا متساوين و ال B و ال A متساوين فلو أنا
+
+527
+00:48:07,430 --> 00:48:12,470
+طلبت منك مساحة بكل بساطة ال
+
+528
+00:48:12,470 --> 00:48:15,970
+R بروح بجيب العناصر هدوء بحسب التلات قيم و بضرهم
+
+529
+00:48:15,970 --> 00:48:19,430
+في اتنين و بحصل على النتائج المطلوبة في الآخر هحصل
+
+530
+00:48:19,430 --> 00:48:26,740
+على المساحة اللي موجودة عندي فقط A Bناقص CB هذه
+
+531
+00:48:26,740 --> 00:48:33,360
+مساحة المعين اللي موجود عندها مساحة المعين اللي
+
+532
+00:48:33,360 --> 00:48:36,800
+موجود عندها اللي هي بين جسين مساحة ال determinant
+
+533
+00:48:36,800 --> 00:48:40,160
+او ال scalar تبعت ال determinant او ال value تبعت
+
+534
+00:48:40,160 --> 00:48:43,500
+ال determinant بناء على النقاط اللي موجودة عندها
+
+535
+00:48:43,500 --> 00:48:51,040
+لأن كل نقطة عملها transformation بمقدار معين طيب
+
+536
+00:48:51,040 --> 00:48:53,480
+احنا ال determinant أخدناه و خلصنا منه سابقا
+
+537
+00:48:57,880 --> 00:49:02,740
+Perspective Projection إيش
+
+538
+00:49:02,740 --> 00:49:07,740
+الـ Projection يا شباب؟ حد بيعرف مرة عليه كلمة الـ
+
+539
+00:49:07,740 --> 00:49:11,540
+Projection؟ عرض، عرض، عرض، عرض، عرض، عرض، عرض،
+
+540
+00:49:11,540 --> 00:49:12,000
+عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض،
+
+541
+00:49:12,000 --> 00:49:14,600
+عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض،
+
+542
+00:49:14,600 --> 00:49:15,260
+عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض،
+
+543
+00:49:15,260 --> 00:49:17,420
+عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض، عرض،
+
+544
+00:49:17,420 --> 00:49:25,420
+عرض، عرض، عرض، عرض، عرض، عرض،
+
+545
+00:49:26,720 --> 00:49:31,680
+لو جربت منها لوحة العرض، حجم العرض كدهش؟ بيصغر،
+
+546
+00:49:31,680 --> 00:49:36,280
+مصبوط، أو مساحة العرض بتصغر، وكل ما بعدت، بتكبر،
+
+547
+00:49:36,280 --> 00:49:39,000
+طبعاً هذا بيعتمد برضه على شدة الإضاء اللي طالعة من
+
+548
+00:49:39,000 --> 00:49:42,600
+الـProjector اللي موجود عندي، فلما أنا بتكلم على
+
+549
+00:49:42,600 --> 00:49:44,860
+الـPerspective و الـProjection، بتكلم على شغل
+
+550
+00:49:44,860 --> 00:49:48,760
+بالمنطق هذا، لكن تبقى على نقطة معينة، أبدا أفترض
+
+551
+00:49:48,760 --> 00:49:55,440
+الشاشة تبعتي في نقطة معينة، طيب، ليش هذا الكلام
+
+552
+00:49:55,440 --> 00:50:02,620
+مهم؟لأنه بيكون أحياناً بتصير .. بتكون مقطع ال
+
+553
+00:50:02,620 --> 00:50:07,360
+animation أنا موجود في داخل المبنى وبأنظر عبر
+
+554
+00:50:07,360 --> 00:50:12,100
+الشباك بأنظر عبر الشباك الآن الشباك هذا أو الجزاز
+
+555
+00:50:12,100 --> 00:50:16,680
+اللي موجود عندي هان هيمثل projection أو حاجز
+
+556
+00:50:16,680 --> 00:50:20,560
+للرؤية اللي موجودة عندي هان تمام؟ فجديش هتتمثل
+
+557
+00:50:20,560 --> 00:50:27,610
+مسافات اللي موجودة عندي هان طيبالان .. طبعا هذا
+
+558
+00:50:27,610 --> 00:50:30,310
+الكلام إذا كنت تتكلم عن إيه الارتباط، إيه الارتباط
+
+559
+00:50:30,310 --> 00:50:34,010
+مع الـ Trigonometer من البداية؟ إذا بتتذكر، يقول،
+
+560
+00:50:34,010 --> 00:50:41,050
+لما لو كان في عندي شخص صانع، عمّاله بيطلع،
+
+561
+00:50:41,050 --> 00:50:46,010
+هاي مساحة الرؤية تبعته، عبارة عن Two Angles،
+
+562
+00:50:46,010 --> 00:50:48,550
+Elevation و Depression
+
+563
+00:50:52,300 --> 00:50:56,860
+Elevation Angle و Depression Angle و بالمساحة كلها
+
+564
+00:50:56,860 --> 00:51:00,980
+و المسافة كلها دي بتمثل مساحة الرؤية الموجودة
+
+565
+00:51:00,980 --> 00:51:05,300
+للشخص أو للكاميرا اللي موجودة عندي هان تخيل لو أنا
+
+566
+00:51:05,300 --> 00:51:08,240
+جيت قلتلك هاي النقطة تبعتي أو الكاميرا موجودة هان
+
+567
+00:51:08,240 --> 00:51:13,940
+و أنا بدي أصور أو هاي المساحة تبعتي مساحة العرض أو
+
+568
+00:51:13,940 --> 00:51:18,160
+هاي البرجيكتور مساحة العرض اللي عندي هان و قلتلك
+
+569
+00:51:18,160 --> 00:51:23,800
+بدي أحرك المسطح هذا على ال X Axisهو على الـ Z axis
+
+570
+00:51:23,800 --> 00:51:29,800
+بلاش حدود ال slide اللي عندنا او العرض اللي عندنا
+
+571
+00:51:29,800 --> 00:51:37,300
+هان X و Y و Z باتجاهك هل هناك ما يمنع ان الشاشة
+
+572
+00:51:37,300 --> 00:51:42,800
+كلها هاي تتحرك للامام؟أه، نثبتها ببرائي، مش هتقدر
+
+573
+00:51:42,800 --> 00:51:46,200
+أحركها، صح؟ بس فعليا، لو كانت أنا بتكلم في الـ3D
+
+574
+00:51:46,200 --> 00:51:50,240
+موجود، معناته أنا بقدر ايش؟ أحركها بأي اتجاه،
+
+575
+00:51:50,240 --> 00:51:54,480
+وبالتالي، ها نحنا فعليا صرنا نتكلم على projection،
+
+576
+00:51:54,480 --> 00:51:59,460
+لأنه هذه الشاشة أو هذه اللوحة، تخيلليها شفافة،
+
+577
+00:51:59,460 --> 00:52:03,720
+عشان أبقى بدي أشوف الـElement اللي بعدها، لأي
+
+578
+00:52:03,720 --> 00:52:06,000
+مستوى بدي أصير أنا، أشوفه
+
+579
+00:52:13,200 --> 00:52:16,400
+لما بتكلم على projection لما اتكلم على projection
+
+580
+00:52:16,400 --> 00:52:21,400
+هاي اللي هو احتبعنا ال X و ال Y space او ال plane
+
+581
+00:52:21,400 --> 00:52:26,220
+عفوا المسطح بدي اتحرك باتجاه ال Z axis بدي اتحرك
+
+582
+00:52:26,220 --> 00:52:30,920
+بالكامل باتجاه ال Z axis فال projection تبعي
+
+583
+00:52:30,920 --> 00:52:37,320
+النقبة اللي فوقها كيف بدي اتبين؟بتبين لمين؟ للـ X
+
+584
+00:52:37,320 --> 00:52:38,380
+والـ Y هي هي هي هي هي هي هي هي هي هي هي هي هي هي
+
+585
+00:52:38,380 --> 00:52:39,120
+هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي
+
+586
+00:52:39,120 --> 00:52:39,300
+هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي
+
+587
+00:52:39,300 --> 00:52:40,900
+هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي
+
+588
+00:52:40,900 --> 00:52:42,760
+هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي
+
+589
+00:52:42,760 --> 00:52:44,640
+هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي
+
+590
+00:52:44,640 --> 00:52:44,680
+هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي
+
+591
+00:52:44,680 --> 00:52:44,700
+هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي
+
+592
+00:52:44,700 --> 00:53:03,720
+هيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهي
+
+593
+00:53:04,870 --> 00:53:09,970
+أجيبلك مثال أبسط، الآن انت قاعد عند الشباك وشايف
+
+594
+00:53:09,970 --> 00:53:15,890
+طيارة بوينج 777 طالعة في الجو هيك، تمام؟ الان
+
+595
+00:53:15,890 --> 00:53:22,230
+النقطة اللي مثلت الطيارة على الشباك، هل فعليا هي
+
+596
+00:53:22,230 --> 00:53:25,110
+النقطة الحقيقية اللي مثلت ارتفاع الطيارة عن الأرض؟
+
+597
+00:53:25,780 --> 00:53:29,220
+أكيد لأ، ليش؟ لأنه في النهاية ماتكلم اني قاعد على
+
+598
+00:53:29,220 --> 00:53:32,920
+نقطة تقاط أو projection الآن الخط اللي نازل ما بين
+
+599
+00:53:32,920 --> 00:53:37,860
+الطيار الرضا وطيار الحقيقي تنقع على المسافة لحد
+
+600
+00:53:37,860 --> 00:53:42,860
+مستوى عينك عبر النافذة، تمام؟ ومع الخط الأفقك، ايه
+
+601
+00:53:42,860 --> 00:53:46,080
+اندي مثلث، الزاوية ثابتة، ماتغيرتش فيها ولا حاجة،
+
+602
+00:53:46,080 --> 00:53:51,960
+ولا لأ؟ بس اتغيرت، ان انا فعليا، ها، بشوف الشاشة،
+
+603
+00:53:51,960 --> 00:53:57,110
+بشوف الطيارة في المكان هنا، بينما هي طيارة فعليافي
+
+604
+00:53:57,110 --> 00:53:59,730
+أعلى نقطة ممكن تكون موجودة عنده.
+هذا الكلام اللي
+
+605
+00:53:59,730 --> 00:54:03,270
+احنا بنسميه ناشت الـProjection. والفكرة فيه كمان
+
+606
+00:54:03,270 --> 00:54:08,190
+مرة الـProjection استخدامه الأساسي لموضوع
+
+607
+00:54:08,190 --> 00:54:12,590
+الكاميرا. لموضوع الكاميرا. لأنه تخيل اللي الكاميرا
+
+608
+00:54:12,590 --> 00:54:17,270
+هيها، بدي أقدمها من الـObject أو بدي أرجعها، بناء
+
+609
+00:54:17,270 --> 00:54:20,790
+على تجدينها وتأخيرها على النقطة ثابتة في مكانها.
+
+610
+00:54:21,870 --> 00:54:26,030
+الآن، لو افترضت إن في شخص بتطلع من أصابعينها هذه
+
+611
+00:54:26,030 --> 00:54:32,420
+الكاميرا،لأن هل هشوف الـ Mic هذا؟ مش ضروري وكل ما
+
+612
+00:54:32,420 --> 00:54:36,200
+جدّمت لقدام مش هشوفه لكن لو رجعت لورا بحيث إنه
+
+613
+00:54:36,200 --> 00:54:39,320
+يصير ال projection أو ال .. ال .. ال vectors فاقط
+
+614
+00:54:39,320 --> 00:54:43,600
+من الـ Mic لحد الكاميرا وضمن حدود الرؤية تبعتي،
+
+615
+00:54:43,600 --> 00:54:50,700
+هيصيرش إنه موجود عندي هان الفكرة فيها إنه أنا بدي
+
+616
+00:54:50,700 --> 00:54:56,580
+أصير أغير المحاور يعني الآنهذه المفروض الصورة أو
+
+617
+00:54:56,580 --> 00:55:00,360
+بدي اتخيلها بالـ 3D زي ما قلنا والشاشة هذه هي الـ
+
+618
+00:55:00,360 --> 00:55:04,460
+projection تبعت الكاميرا كل ما بقدمها أو بخرها
+
+619
+00:55:04,460 --> 00:55:10,300
+تتغير معايا مستوى الرؤية الآن محمد لو انا فعليا
+
+620
+00:55:10,300 --> 00:55:14,540
+بدي قاعد يشوف من ناحية ال X و ال Y وين الكاميرا
+
+621
+00:55:14,540 --> 00:55:20,990
+تبعتي هيها في النقطة هاي هتكون X Y و Dطيب، لو أنا
+
+622
+00:55:20,990 --> 00:55:25,510
+كنت موجود على الـZ، كيف بتشوف الرؤية؟
+يعني أنت
+
+623
+00:55:25,510 --> 00:55:29,790
+هشوفها بزاولة مختلفة تمامًا. فعليًا، أنا بشوفها في
+
+624
+00:55:29,790 --> 00:55:32,730
+الـ2D كل مرة،
+لأن الـDesign تبعي، الكمبيوتر تبعي
+
+625
+00:55:32,730 --> 00:55:37,130
+2D. وكل مرة، لما قلتلك، أنا بجيب المكعب وبيعمله
+
+626
+00:55:37,130 --> 00:55:40,610
+rotation تمامًا، هو مغير الكاميرا اللي بتغير،
+
+627
+00:55:40,610 --> 00:55:43,670
+بيروح، بغير perspective و projection، وجهة رؤية
+
+628
+00:55:43,670 --> 00:55:48,150
+ورؤية، مساحة رؤية مختلفة، بناء على مين؟ على تغيير
+
+629
+00:55:48,150 --> 00:55:53,680
+الكاميرا اللي موجودة.بالتالي انا ممكن اصير اسألك
+
+630
+00:55:53,680 --> 00:55:57,280
+بما ان هو في الـ 3D و ال projection تبع هيه عماله
+
+631
+00:55:57,280 --> 00:56:03,340
+بتحرك على مستوى الـ Z لو انا ممكن اسألك مستوى لو
+
+632
+00:56:03,340 --> 00:56:06,540
+انا كنت هنا على ال X و ال Y وين شكل ال projection
+
+633
+00:56:06,540 --> 00:56:10,260
+تبعتي؟ و لو كنت انا بينه على ال Y و ال Z وين ال
+
+634
+00:56:10,260 --> 00:56:13,000
+projection تبعتي؟ لأنه في الآخر ال projection هو
+
+635
+00:56:13,000 --> 00:56:16,000
+عبارة عن جزء من الـ space و انا بدي اغيره بأي
+
+636
+00:56:16,000 --> 00:56:23,490
+اتجاه بديه و كذلكالنقاط اللي موجودة عندها لما انا
+
+637
+00:56:23,490 --> 00:56:27,850
+باجب اتكلم على هو
+
+638
+00:56:27,850 --> 00:56:30,190
+ال projection نفسه و النقطة في نفس الارتفاع اللي
+
+639
+00:56:30,190 --> 00:56:34,070
+موجودة عندها بدي اصير اتكلم على نسبة و تناسب
+
+640
+00:56:34,070 --> 00:56:46,990
+النسبة هان الان X الكاميرا هان XC YC و ZC ZC اللي
+
+641
+00:56:46,990 --> 00:56:50,330
+هي ال position تبعتالكاميرا او ال project النقطة
+
+642
+00:56:50,330 --> 00:56:54,310
+اللي انا بدي اشوفها وهي ال screen تبعتي مدينة
+
+643
+00:56:54,310 --> 00:56:57,930
+الرؤية اللي عندي و بدي اعرف المسافة او النقطة اللي
+
+644
+00:56:57,930 --> 00:57:02,010
+موجودة عندي هان المفروض هدي نسميها نقطة xp yp
+
+645
+00:57:02,010 --> 00:57:07,270
+بالاضافة لل distance اللي تمت اللي موجودة عليها
+
+646
+00:57:07,270 --> 00:57:12,540
+بالنسبة لل z أنا مش كل ال z دي الآنالان هذا الكلام
+
+647
+00:57:12,540 --> 00:57:19,140
+بيذكرنا بال sign rule بحيث انه عبارة عن two ratios
+
+648
+00:57:19,140 --> 00:57:30,460
+متساويات يعني XC على زبد C تساوي ناقص XB على ال
+
+649
+00:57:30,460 --> 00:57:36,760
+distance اللي موجودة عندها هاي ال XC او عفرا زبد C
+
+650
+00:57:36,760 --> 00:57:40,950
+وهاي ال Xالـ C اللي موجودة عندها فبتكلم على الاشهص
+
+651
+00:57:40,950 --> 00:57:43,830
+و بقدر أجيب النقاط كنسبة و تناسب نوعي من الكامل هو
+
+652
+00:57:43,830 --> 00:57:48,110
+المثلث الصغير المثلث الكبير؟ هي فعليا هو الآن
+
+653
+00:57:48,110 --> 00:57:51,450
+بتكلم على projection و تخيلوا أنها بتصير فيه
+
+654
+00:57:51,450 --> 00:57:54,190
+scaring إذا بكاش تتكلم على مثلث صغير في مثلث أكبر
+
+655
+00:57:54,190 --> 00:58:00,410
+منه في الآخر شباب هي المثلث اللي موجودة كل ما
+
+656
+00:58:00,410 --> 00:58:05,240
+بتجرب الشاشةمن مجال الرؤية او من نقطة الرؤية او من
+
+657
+00:58:05,240 --> 00:58:09,220
+نقطة الكاميرا ل production تبعتي بجلب لكن فيها
+
+658
+00:58:09,220 --> 00:58:12,840
+قانون ثابت مابتغيرش مطلقا اللي هي علاقة بين
+
+659
+00:58:12,840 --> 00:58:19,410
+الارتفاع و ال distanceمصبوب؟ لأنه بتكلم على مخلف
+
+660
+00:58:19,410 --> 00:58:24,010
+قائم الزاوية والزاوية زي ما ذكرنا كامل تمام؟ هي
+
+661
+00:58:24,010 --> 00:58:27,230
+زاوية ثابتة وبالتالي كل ما ببقى ال screen أو ال
+
+662
+00:58:27,230 --> 00:58:29,850
+projection screen تبع space تبعي أو ال plane تبعي
+
+663
+00:58:29,850 --> 00:58:36,010
+أنا بقى بحشوف القيمة اللي موجودة طيب
+
+664
+00:58:36,010 --> 00:58:38,230
+.. طيب إذا أنا بتكلم على projection ك
+
+665
+00:58:38,230 --> 00:58:42,390
+transformation معناته لـ projection تبعتها إليها
+
+666
+00:58:42,390 --> 00:58:44,290
+بناء على المعادلات اللي موجودة
+
+667
+00:58:47,160 --> 00:58:51,260
+سالب واحد صفر صفر صفر ال Y ماصارش عليها تغيير اذا
+
+668
+00:58:51,260 --> 00:58:54,380
+انا كنت بتكلم على projection بين مين و مين يا شباب
+
+669
+00:58:54,380 --> 00:59:04,160
+بين X و Y X و Z يعني فعليا ال plane تبع يتحرك على
+
+670
+00:59:04,160 --> 00:59:09,470
+مستوىالـ Z الـ plane تبعي بتحرك على مستوى الـ Z لو
+
+671
+00:59:09,470 --> 00:59:12,710
+أنا وقفت على ال X Axis إيش بشوف؟ لو وقفت على ال Y
+
+672
+00:59:12,710 --> 00:59:16,550
+Axis إيش بشوف؟ أو إيش النقطة اللي بشوفها؟ وبالتالي
+
+673
+00:59:16,550 --> 00:59:18,810
+هاي ال transformation تبعتي تبعت ال projection
+
+674
+00:59:18,810 --> 00:59:28,250
+بناء على ال ratios اللي موجودة عندي هنا بكل
+
+675
+00:59:28,250 --> 00:59:30,570
+بساطة إذا أنا بدي أبدي على موضوع ال homogeneous
+
+676
+00:59:30,570 --> 00:59:41,720
+coordinates معناته XBو YB و ZB القيمة
+
+677
+00:59:41,720 --> 00:59:45,620
+تحتل ال projection هيها لل X القيمة لل projection
+
+678
+00:59:45,620 --> 00:59:53,060
+تبعت ال Y هيها لاحظ مين اللي بتغيّر يا شباب البصد
+
+679
+00:59:53,060 --> 01:00:05,480
+البصد فقط الآن إشارة البصد الآن سالم XCYC على ZC
+
+680
+01:00:05,480 --> 01:00:10,680
+على D وبالتالي هاي ال projection اللي موجود عندي
+
+681
+01:00:10,680 --> 01:00:13,980
+هاي التلات قيم اللي موجودة انشئتها دي بيحصل هتساوي
+
+682
+01:00:13,980 --> 01:00:22,840
+عندي هنا ناقص XC في D على ZC هدى بيه تساوي YC في D
+
+683
+01:00:22,840 --> 01:00:29,400
+على ZC وهدى تساوي D لحالها لإن هاي و هاي هيروحوا
+
+684
+01:00:29,400 --> 01:00:36,310
+مع بعض وهي واحد على واحد على ال Dبسط المقام المقام
+
+685
+01:00:36,310 --> 01:00:41,250
+بيصير بسط وهذا
+
+686
+01:00:41,250 --> 01:00:46,090
+كل المطموب في ال chapter اللي موجود عندنا اه خلصت
+
+687
+01:00:46,090 --> 01:00:54,350
+ال chapter معايا لان هدولة التلات قوانين تمام
+
+688
+01:00:54,350 --> 01:00:58,130
+لو انا اتيت سألتك و قلتلك ان في عندك نقطة عندك
+
+689
+01:00:58,130 --> 01:01:03,590
+نقطةX,Y,Z قدّتك القيام تبعتها والناكم مثلا اتنين
+
+690
+01:01:03,590 --> 01:01:10,490
+اتنين تلاتة تمام؟ وفي عند ال plane أو في عند ال ..
+
+691
+01:01:10,490 --> 01:01:15,590
+عند ال Z مستوى روح تحطتك عند ال Z equal خمسة
+
+692
+01:01:15,590 --> 01:01:20,550
+معناته
+
+693
+01:01:20,550 --> 01:01:25,050
+الكاميرا موجودة هي عندها حدد ال projection تبعتها
+
+694
+01:01:25,050 --> 01:01:36,010
+ال D equal خمسةالان XC التي تبعت ثلاثة و YC ثلاثة
+
+695
+01:01:36,010 --> 01:01:42,230
+و ال value الأخير الذي ZC خمسة و مع ال D خمسة فهي
+
+696
+01:01:42,230 --> 01:01:45,270
+العناصر وبالتالي بس بتتطبق على الموجود هنا عشان
+
+697
+01:01:45,270 --> 01:01:50,130
+تقولي ال projection تبعت النقطة هذه صارت النقطة
+
+698
+01:01:50,130 --> 01:01:56,110
+الفلانية على المحور اللي موجودأيك احنا خلصنا ال
+
+699
+01:01:56,110 --> 01:01:59,370
+chapter و خلصنا المنهج لأحد الجاي .. لأحد الجاي
+
+700
+01:01:59,370 --> 01:02:03,530
+حاجة هنا اللي فيه الشباب موجودين حاراجة معاكم و
+
+701
+01:02:03,530 --> 01:02:08,510
+هحل معاكم الانتحان النصفي و هحل الانتحان النهائي
+
+702
+01:02:08,510 --> 01:02:13,910
+تبع العام الماضي شباب بالنسبة لل computation موللة
+
+703
+01:02:13,910 --> 01:02:17,730
+قصيرة مطلوب منك تحلها تعمل حسابك معاك calculator و
+
+704
+01:02:17,730 --> 01:02:22,550
+معاك جلم رصاص و محاياانا هتبقى لتمسح ولمّا ألاقيك
+
+705
+01:02:22,550 --> 01:02:25,310
+انت كاتب بالجاف ومخربشش دي كتير معناته انا حاتوه
+
+706
+01:02:25,310 --> 01:02:28,990
+معاك وانا بصلح لأ لأ مش حاتوه هحاول قدر المستطاع
+
+707
+01:02:28,990 --> 01:02:32,370
+اني اتبع معاك لكن لما انت بتستخدم الجلم لرصاص افضل
+
+708
+01:02:32,370 --> 01:02:36,850
+تمام افضل ايه لك؟ ورق فاضي؟ ورق فاضي لأ بديك اسبسع
+
+709
+01:02:36,850 --> 01:02:41,890
+جدر الحل تمام عشان مافيش مجالاش مافيش مجل ورق
+
+710
+01:02:41,890 --> 01:02:42,290
+زيادة
+
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/mPL84k2dxcs_raw.json b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/mPL84k2dxcs_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..ee04882d298b3410c0151ecd6f0b30ec9783c24c
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/mPL84k2dxcs_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4595, "start": 20.89, "end": 45.95, "text": "بسم الله والحمد لله والصلاة والسلام علي رسول الله اليوم ان شاء الله يا شباب بنخلص موضوع chapter ال transformation مع انه هنشوف انه في بعض الشغلات احنا مارين عليها سابقا بشكل سريع احنا كنا تكلمنا او نتكلم في ال transforms في عندي تلت انواع او اربع انواع من ال transforms في عند ال translation وفي عند ال scaling وفي عند ال rotation وفي عند ال reflection ولما اجينا هنتكلم على", "tokens": [3555, 38251, 21984, 16070, 35571, 3215, 24976, 3224, 16070, 9381, 15040, 3660, 16070, 3794, 37440, 25894, 12602, 3794, 12610, 21984, 45595, 20498, 16472, 13412, 16606, 21984, 35186, 13412, 3555, 16758, 44945, 9778, 1211, 9381, 3714, 2407, 11242, 45367, 7187, 2423, 9887, 20449, 16472, 3224, 8032, 1863, 8592, 38688, 16472, 3224, 8978, 45030, 11242, 25124, 17082, 1211, 9307, 1975, 5016, 8315, 3714, 9640, 9957, 25894, 11296, 8608, 16758, 4587, 995, 4724, 8592, 28820, 8608, 16572, 3615, 1975, 5016, 8315, 9122, 8315, 6055, 4117, 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واحد X و Y على واحد و كانت هذه ال homogeneous point تبعتي X و Y و واحد هي الأساس اللي أنا بنيت عليه المصهوفة تبعتي بحيث صارت المصهوفة بشكل أكبر A B E C و D", "tokens": [56, 314, 6055, 4587, 3794, 32640, 314, 6055, 3555, 22653, 2423, 398, 23032, 3555, 4032, 41850, 10874, 36081, 15844, 8032, 3215, 12610, 1783, 15844, 36764, 24401, 1783, 4032, 398, 15844, 36764, 24401, 4032, 25961, 2655, 29538, 2423, 42632, 935, 6055, 3555, 3615, 31371, 1783, 4032, 398, 4032, 36764, 24401, 39896, 16247, 3794, 32277, 13672, 1829, 41850, 44945, 36081, 47356, 9673, 9381, 3224, 38688, 3660, 6055, 3555, 3615, 31371, 4724, 5016, 1829, 12984, 20328, 9640, 2655, 9673, 9381, 3224, 38688, 3660, 4724, 8592, 28820, 5551, 4117, 26890, 316, 363, 462, 383, 4032, 413], "avg_logprob": -0.2380712378409601, "compression_ratio": 1.6785714285714286, "no_speech_prob": 1.0728836059570312e-06, "words": [{"start": 128.67, "end": 129.07, "word": "Y", "probability": 0.35888671875}, {"start": 129.07, "end": 129.33, "word": " T", 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"probability": 0.939453125}, {"start": 138.61, "end": 139.07, "word": " تبعتي", "probability": 0.8123779296875}, {"start": 139.07, "end": 139.45, "word": " X", "probability": 0.8623046875}, {"start": 139.45, "end": 139.63, "word": " و", "probability": 0.9296875}, {"start": 139.63, "end": 139.87, "word": " Y", "probability": 0.791015625}, {"start": 139.87, "end": 140.05, "word": " و", "probability": 0.8505859375}, {"start": 140.05, "end": 140.39, "word": " واحد", "probability": 0.7548828125}, {"start": 140.39, "end": 140.57, "word": " هي", "probability": 0.82763671875}, {"start": 140.57, "end": 141.29, "word": " الأساس", "probability": 0.9122721354166666}, {"start": 141.29, "end": 141.85, "word": " اللي", "probability": 0.944580078125}, {"start": 141.85, "end": 142.05, "word": " أنا", "probability": 0.77783203125}, {"start": 142.05, "end": 142.37, "word": " بنيت", "probability": 0.785400390625}, {"start": 142.37, "end": 142.71, "word": " عليه", "probability": 0.98046875}, {"start": 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130216, "start": 1274.1, "end": 1302.16, "text": "هتاخد منك واجهة واجهة طويل كمان لأنك بتضرب كل مصوفة زي ما شوف ان هي عبارة عن different او followed up translation، transformation لكن لما أنا بتتكلم ان ال computer هو اللي بنفذها عنك بس كل اللي عليك تحدد المصوفة اللي هي تمام بتزوده بالزاوية لأن هذا القانون يُكتب لمرة واحدة بس المتدير عندك قيمة الزاوية وبالتالي ال execution أو الحساب تبعتك هتكون", "tokens": [3224, 2655, 47283, 3215, 9154, 4117, 4032, 26108, 3224, 3660, 4032, 26108, 3224, 3660, 23032, 2407, 26895, 9122, 2304, 7649, 5296, 33456, 4117, 39894, 11242, 25513, 28242, 3714, 9381, 38688, 3660, 30767, 1829, 19446, 13412, 38688, 16472, 39896, 6225, 3555, 9640, 3660, 18871, 819, 1975, 2407, 6263, 493, 12853, 12399, 9887, 44381, 5296, 15042, 41850, 39894, 2655, 4117, 19528, 16472, 2423, 3820, 31439, 13672, 1829, 44945, 5172, 8848, 11296, 18871, 4117, 4724, 3794, 28242, 13672, 1829, 25894, 4117, 6055, 24401, 3215, 9673, 9381, 38688, 3660, 13672, 1829, 39896, 46811, 10943, 39894, 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"probability": 0.54296875}, {"start": 1286.18, "end": 1286.4, "word": " هو", "probability": 0.98291015625}, {"start": 1286.4, "end": 1286.5, "word": " اللي", "probability": 0.97265625}, {"start": 1286.5, "end": 1286.94, "word": " بنفذها", "probability": 0.8634033203125}, {"start": 1286.94, "end": 1287.4, "word": " عنك", "probability": 0.7783203125}, {"start": 1287.4, "end": 1288.74, "word": " بس", "probability": 0.932861328125}, {"start": 1288.74, "end": 1288.92, "word": " كل", "probability": 0.9580078125}, {"start": 1288.92, "end": 1289.04, "word": " اللي", "probability": 0.99462890625}, {"start": 1289.04, "end": 1289.26, "word": " عليك", "probability": 0.894775390625}, {"start": 1289.26, "end": 1289.72, "word": " تحدد", "probability": 0.8611653645833334}, {"start": 1289.72, "end": 1292.34, "word": " المصوفة", "probability": 0.85552978515625}, {"start": 1292.34, "end": 1292.46, "word": " اللي", "probability": 0.959716796875}, {"start": 1292.46, "end": 1292.62, "word": " هي", "probability": 0.83349609375}, {"start": 1292.62, "end": 1293.4, "word": " تمام", "probability": 0.974365234375}, {"start": 1293.4, "end": 1293.86, "word": " بتزوده", "probability": 0.6783447265625}, {"start": 1293.86, "end": 1294.36, "word": " بالزاوية", "probability": 0.97685546875}, {"start": 1294.36, "end": 1294.74, "word": " لأن", "probability": 0.773193359375}, {"start": 1294.74, "end": 1294.9, "word": " هذا", "probability": 0.94677734375}, {"start": 1294.9, "end": 1295.2, "word": " القانون", "probability": 0.99072265625}, {"start": 1295.2, "end": 1295.48, "word": " يُكتب", "probability": 0.83642578125}, {"start": 1295.48, "end": 1295.82, "word": " لمرة", "probability": 0.895263671875}, {"start": 1295.82, "end": 1296.48, "word": " واحدة", "probability": 0.9931640625}, {"start": 1296.48, "end": 1297.04, "word": " بس", "probability": 0.9833984375}, {"start": 1297.04, "end": 1297.56, "word": " المتدير", "probability": 0.843017578125}, {"start": 1297.56, "end": 1298.14, "word": " عندك", "probability": 0.988037109375}, {"start": 1298.14, "end": 1299.14, "word": " قيمة", "probability": 0.9925130208333334}, {"start": 1299.14, "end": 1299.42, "word": " الزاوية", "probability": 0.95947265625}, {"start": 1299.42, "end": 1299.86, "word": " وبالتالي", "probability": 0.94912109375}, {"start": 1299.86, "end": 1299.98, "word": " ال", "probability": 0.962890625}, {"start": 1299.98, "end": 1300.36, "word": " execution", "probability": 0.9697265625}, {"start": 1300.36, "end": 1300.58, "word": " أو", "probability": 0.61181640625}, {"start": 1300.58, "end": 1300.96, "word": " الحساب", "probability": 0.9720052083333334}, {"start": 1300.96, "end": 1301.52, "word": " تبعتك", "probability": 0.91796875}, {"start": 1301.52, "end": 1302.16, "word": " هتكون", "probability": 0.9757486979166666}], "temperature": 1.0}, {"id": 48, "seek": 132917, "start": 1302.85, "end": 1329.17, "text": "أسهل بكتير تمام يا شباب؟ طيب الان لما انا بتتكلم على transformation كل كلامنا السابق كان transformation ل object و بين جسين كنت بعمل transformation لل object في ال 3D او في ال 2D shapes بما ان انا على النقطة يعني باخد النقطة و بعملها transformation مصبوط؟ طيب لما انا بتكلمك على ال vector", "tokens": [10721, 3794, 3224, 1211, 4724, 4117, 2655, 13546, 46811, 10943, 35186, 13412, 3555, 16758, 22807, 23032, 1829, 3555, 2423, 7649, 5296, 15042, 1975, 8315, 39894, 2655, 4117, 19528, 15844, 9887, 28242, 28242, 10943, 8315, 21136, 16758, 4587, 25961, 9887, 5296, 2657, 4032, 49374, 10874, 3794, 9957, 9122, 29399, 4724, 25957, 1211, 9887, 24976, 2657, 8978, 2423, 805, 35, 1975, 2407, 8978, 2423, 568, 35, 10854, 4724, 15042, 16472, 1975, 8315, 15844, 28239, 47432, 3660, 37495, 22653, 4724, 47283, 3215, 28239, 47432, 3660, 4032, 4724, 25957, 1211, 11296, 9887, 3714, 9381, 3555, 2407, 9566, 22807, 23032, 1829, 3555, 5296, 15042, 1975, 8315, 39894, 4117, 19528, 4117, 15844, 2423, 8062], "avg_logprob": -0.23838876748303756, "compression_ratio": 1.9086956521739131, "no_speech_prob": 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transformation", "probability": 0.6025390625}, {"start": 1311.97, "end": 1312.35, "word": " كل", "probability": 0.69873046875}, {"start": 1312.35, "end": 1312.83, "word": " كلامنا", "probability": 0.9454752604166666}, {"start": 1312.83, "end": 1313.17, "word": " السابق", "probability": 0.9921875}, {"start": 1313.17, "end": 1313.41, "word": " كان", "probability": 0.9873046875}, {"start": 1313.41, "end": 1314.11, "word": " transformation", "probability": 0.76953125}, {"start": 1314.11, "end": 1314.37, "word": " ل", "probability": 0.87939453125}, {"start": 1314.37, "end": 1316.47, "word": " object", "probability": 0.472900390625}, {"start": 1316.47, "end": 1317.15, "word": " و", "probability": 0.466796875}, {"start": 1317.15, "end": 1317.37, "word": " بين", "probability": 0.609375}, {"start": 1317.37, "end": 1317.83, "word": " جسين", "probability": 0.5293782552083334}, {"start": 1317.83, "end": 1318.41, "word": " كنت", "probability": 0.982421875}, {"start": 1318.41, "end": 1318.77, "word": " بعمل", "probability": 0.96728515625}, {"start": 1318.77, "end": 1319.43, "word": " transformation", "probability": 0.79541015625}, {"start": 1319.43, "end": 1319.69, "word": " لل", "probability": 0.84912109375}, {"start": 1319.69, "end": 1320.01, "word": " object", "probability": 0.93798828125}, {"start": 1320.01, "end": 1320.25, "word": " في", "probability": 0.87890625}, {"start": 1320.25, "end": 1320.33, "word": " ال", "probability": 0.9521484375}, {"start": 1320.33, "end": 1320.81, "word": " 3D", "probability": 0.6591796875}, {"start": 1320.81, "end": 1321.13, "word": " او", "probability": 0.721435546875}, {"start": 1321.13, "end": 1321.23, "word": " في", "probability": 0.6162109375}, {"start": 1321.23, "end": 1321.37, "word": " ال", "probability": 0.97412109375}, {"start": 1321.37, "end": 1321.65, "word": " 2D", "probability": 0.814697265625}, {"start": 1321.65, "end": 1322.13, "word": " shapes", "probability": 0.8896484375}, {"start": 1322.13, "end": 1322.99, "word": " بما", "probability": 0.61669921875}, {"start": 1322.99, "end": 1323.13, "word": " ان", "probability": 0.4794921875}, {"start": 1323.13, "end": 1323.21, "word": " انا", "probability": 0.785400390625}, {"start": 1323.21, "end": 1323.33, "word": " على", "probability": 0.7490234375}, {"start": 1323.33, "end": 1323.69, "word": " النقطة", "probability": 0.8154296875}, {"start": 1323.69, "end": 1323.85, "word": " يعني", "probability": 0.8701171875}, {"start": 1323.85, "end": 1324.13, "word": " باخد", "probability": 0.9461263020833334}, {"start": 1324.13, "end": 1324.37, "word": " النقطة", "probability": 0.9775390625}, {"start": 1324.37, "end": 1324.47, "word": " و", "probability": 0.415283203125}, {"start": 1324.47, "end": 1324.75, "word": " بعملها", "probability": 0.9312744140625}, {"start": 1324.75, "end": 1325.29, "word": " transformation", "probability": 0.86328125}, {"start": 1325.29, "end": 1326.39, "word": " مصبوط؟", "probability": 0.7734781901041666}, {"start": 1326.39, "end": 1326.73, "word": " طيب", "probability": 0.96875}, {"start": 1326.73, "end": 1327.81, "word": " لما", "probability": 0.92626953125}, {"start": 1327.81, "end": 1327.97, "word": " انا", "probability": 0.804931640625}, {"start": 1327.97, "end": 1328.59, "word": " بتكلمك", "probability": 0.9073486328125}, {"start": 1328.59, "end": 1328.75, "word": " على", "probability": 0.4365234375}, {"start": 1328.75, "end": 1328.89, "word": " ال", "probability": 0.9814453125}, {"start": 1328.89, "end": 1329.17, "word": " vector", "probability": 0.849609375}], "temperature": 1.0}, {"id": 49, "seek": 134528, "start": 1331.54, "end": 1345.28, "text": "يعني الأقل لو كان فيه position vector ايش يعني position vector يا شباب position vector فيه", "tokens": [40228, 22653, 16247, 4587, 1211, 45164, 25961, 8978, 3224, 2535, 8062, 1975, 1829, 8592, 37495, 22653, 2535, 8062, 35186, 13412, 3555, 16758, 2535, 8062, 8978, 3224], "avg_logprob": -0.264901633615847, "compression_ratio": 1.3820224719101124, "no_speech_prob": 0.0, "words": [{"start": 1331.54, "end": 1331.82, "word": "يعني", "probability": 0.757568359375}, {"start": 1331.82, "end": 1332.24, "word": " الأقل", "probability": 0.6576334635416666}, {"start": 1332.24, "end": 1333.56, "word": " لو", "probability": 0.87939453125}, {"start": 1333.56, "end": 1333.78, "word": " كان", "probability": 0.9619140625}, {"start": 1333.78, "end": 1334.1, "word": " فيه", "probability": 0.5830078125}, {"start": 1334.1, "end": 1334.48, "word": " position", "probability": 0.494140625}, {"start": 1334.48, "end": 1335.06, "word": " vector", "probability": 0.927734375}, {"start": 1335.06, "end": 1341.0, "word": " ايش", "probability": 0.6836751302083334}, {"start": 1341.0, "end": 1341.18, "word": " يعني", "probability": 0.906982421875}, {"start": 1341.18, "end": 1341.42, "word": " position", "probability": 0.94140625}, {"start": 1341.42, "end": 1341.84, "word": " vector", "probability": 0.97900390625}, {"start": 1341.84, "end": 1341.96, "word": " 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"probability": 0.9793701171875}, {"start": 2749.31, "end": 2749.65, "word": " تبعت", "probability": 0.7527669270833334}, {"start": 2749.65, "end": 2749.77, "word": " ال", "probability": 0.9130859375}, {"start": 2749.77, "end": 2749.95, "word": " X", "probability": 0.79931640625}, {"start": 2749.95, "end": 2750.35, "word": " prime", "probability": 0.412109375}], "temperature": 1.0}, {"id": 100, "seek": 276763, "start": 2751.25, "end": 2767.63, "text": "الـ Transformation تبعتي و هي المعادلة تبع ال Y prime قلت انا ممكن استفيد من ال determinant وشوفناه لما اتكلمنا على ال areas المساحات و قلنا ال determinant او المحدد هي عبارة عن scalar value العنايص المصفوفة", "tokens": [6027, 39184, 6531, 8663, 6055, 3555, 3615, 31371, 4032, 39896, 9673, 3615, 18513, 37977, 6055, 3555, 3615, 2423, 398, 5835, 12174, 1211, 2655, 1975, 8315, 3714, 43020, 44713, 5172, 25708, 9154, 2423, 41296, 4032, 8592, 38688, 8315, 3224, 5296, 15042, 1975, 2655, 4117, 19528, 8315, 15844, 2423, 3179, 9673, 3794, 39319, 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3227.32, "end": 3228.1, "word": " اتغيرت،", "probability": 0.8447672526041666}, {"start": 3228.1, "end": 3228.3, "word": " ان", "probability": 0.75732421875}, {"start": 3228.3, "end": 3228.56, "word": " انا", "probability": 0.748046875}, {"start": 3228.56, "end": 3229.84, "word": " فعليا،", "probability": 0.690966796875}, {"start": 3229.84, "end": 3230.56, "word": " ها،", "probability": 0.6822916666666666}, {"start": 3230.56, "end": 3230.92, "word": " بشوف", "probability": 0.9908854166666666}, {"start": 3230.92, "end": 3231.96, "word": " الشاشة،", "probability": 0.9288330078125}, {"start": 3231.96, "end": 3232.12, "word": " بشوف", "probability": 0.8681640625}, {"start": 3232.12, "end": 3232.92, "word": " الطيارة", "probability": 0.982177734375}, {"start": 3232.92, "end": 3233.0, "word": " في", "probability": 0.94580078125}, {"start": 3233.0, "end": 3233.26, "word": " المكان", "probability": 0.994384765625}, {"start": 3233.26, "end": 3233.84, "word": " هنا،", "probability": 0.778076171875}, {"start": 3233.84, "end": 3234.12, "word": " بينما", "probability": 0.984130859375}, {"start": 3234.12, "end": 3234.24, "word": " هي", "probability": 0.970703125}, {"start": 3234.24, "end": 3234.64, "word": " طيارة", "probability": 0.908447265625}, {"start": 3234.64, "end": 3235.08, "word": " فعليا", "probability": 0.939697265625}], "temperature": 1.0}, {"id": 118, "seek": 326647, "start": 3236.93, "end": 3266.47, "text": "في أعلى نقطة ممكن تكون موجودة عنده.\nهذا الكلام اللي احنا بنسميه ناشت الـProjection. والفكرة فيه كمان مرة الـProjection استخدامه الأساسي لموضوع الكاميرا. لموضوع الكاميرا. لأنه تخيل اللي الكاميرا هيها، بدي أقدمها من الـObject أو بدي أرجعها، بناء على تجدينها وتأخيرها على النقطة ثابتة في مكانها. الآن، لو افترضت إن في شخص بتطلع من أصابعينها هذه الكاميرا،", "tokens": [41185, 5551, 3615, 23942, 8717, 47432, 3660, 3714, 43020, 6055, 30544, 3714, 29245, 23328, 3660, 43242, 3224, 13, 198, 3224, 15730, 2423, 28820, 10943, 13672, 1829, 1975, 5016, 8315, 44945, 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0.87939453125}, {"start": 3255.13, "end": 3255.81, "word": " أو", "probability": 0.8037109375}, {"start": 3255.81, "end": 3256.05, "word": " بدي", "probability": 0.9736328125}, {"start": 3256.05, "end": 3256.93, "word": " أرجعها،", "probability": 0.810595703125}, {"start": 3256.93, "end": 3257.27, "word": " بناء", "probability": 0.822998046875}, {"start": 3257.27, "end": 3257.47, "word": " على", "probability": 0.70458984375}, {"start": 3257.47, "end": 3258.03, "word": " تجدينها", "probability": 0.828515625}, {"start": 3258.03, "end": 3258.91, "word": " وتأخيرها", "probability": 0.88740234375}, {"start": 3258.91, "end": 3259.49, "word": " على", "probability": 0.167724609375}, {"start": 3259.49, "end": 3259.83, "word": " النقطة", "probability": 0.87646484375}, {"start": 3259.83, "end": 3260.21, "word": " ثابتة", "probability": 0.8570556640625}, {"start": 3260.21, "end": 3260.33, "word": " في", "probability": 0.98974609375}, {"start": 3260.33, "end": 3260.79, "word": " مكانها.", "probability": 0.9959309895833334}, {"start": 3261.87, "end": 3262.57, "word": " الآن،", "probability": 0.76416015625}, {"start": 3262.57, "end": 3263.03, "word": " لو", "probability": 0.8798828125}, {"start": 3263.03, "end": 3263.65, "word": " افترضت", "probability": 0.95048828125}, {"start": 3263.65, "end": 3263.73, "word": " إن", "probability": 0.54833984375}, {"start": 3263.73, "end": 3263.85, "word": " في", "probability": 0.748046875}, {"start": 3263.85, "end": 3264.13, "word": " شخص", "probability": 0.9736328125}, {"start": 3264.13, "end": 3264.81, "word": " بتطلع", "probability": 0.84649658203125}, {"start": 3264.81, "end": 3265.15, "word": " من", "probability": 0.8203125}, {"start": 3265.15, "end": 3265.85, "word": " أصابعينها", "probability": 0.7071431477864584}, {"start": 3265.85, "end": 3266.03, "word": " هذه", "probability": 0.81396484375}, {"start": 3266.03, "end": 3266.47, "word": " الكاميرا،", "probability": 0.94716796875}], "temperature": 1.0}, {"id": 119, "seek": 329418, "start": 3267.54, "end": 3294.18, "text": "لأن هل هشوف الـ Mic هذا؟ مش ضروري وكل ما جدّمت لقدام مش هشوفه لكن لو رجعت لورا بحيث إنه يصير ال projection أو ال .. ال .. ال vectors فاقط من الـ Mic لحد الكاميرا وضمن حدود الرؤية تبعتي، هيصيرش إنه موجود عندي هان الفكرة فيها إنه أنا بدي أصير أغير المحاور يعني الآن", "tokens": [1211, 33456, 8032, 1211, 8032, 8592, 38688, 2423, 39184, 5818, 23758, 22807, 37893, 48812, 2288, 13063, 1829, 4032, 28820, 19446, 10874, 3215, 11703, 2304, 2655, 5296, 28543, 10943, 37893, 8032, 8592, 38688, 3224, 44381, 45164, 12602, 7435, 34268, 5296, 13063, 995, 4724, 5016, 1829, 12984, 36145, 3224, 7251, 9381, 13546, 2423, 22743, 34051, 2423, 4386, 2423, 4386, 2423, 18875, 6156, 995, 4587, 9566, 9154, 2423, 39184, 5818, 5296, 24401, 33251, 10943, 13546, 995, 4032, 11242, 27842, 11331, 3215, 23328, 34892, 33604, 10632, 6055, 3555, 3615, 31371, 12399, 8032, 1829, 9381, 13546, 8592, 36145, 3224, 3714, 29245, 23328, 18871, 16254, 8032, 7649, 27188, 4117, 25720, 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{"start": 3280.62, "end": 3280.82, "word": " Mic", "probability": 0.61181640625}, {"start": 3280.82, "end": 3281.18, "word": " لحد", "probability": 0.970703125}, {"start": 3281.18, "end": 3281.62, "word": " الكاميرا", "probability": 0.8953857421875}, {"start": 3281.62, "end": 3281.9, "word": " وضمن", "probability": 0.644287109375}, {"start": 3281.9, "end": 3282.28, "word": " حدود", "probability": 0.9889322916666666}, {"start": 3282.28, "end": 3282.68, "word": " الرؤية", "probability": 0.9713541666666666}, {"start": 3282.68, "end": 3283.6, "word": " تبعتي،", "probability": 0.85166015625}, {"start": 3283.6, "end": 3284.84, "word": " هيصيرش", "probability": 0.745361328125}, {"start": 3284.84, "end": 3285.82, "word": " إنه", "probability": 0.830078125}, {"start": 3285.82, "end": 3286.14, "word": " موجود", "probability": 0.9778645833333334}, {"start": 3286.14, "end": 3286.42, "word": " عندي", "probability": 0.89404296875}, {"start": 3286.42, "end": 3286.64, "word": " هان", "probability": 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عندنا اه خلصت ال chapter معايا لان هدولة التلات قوانين تمام لو انا اتيت سألتك و قلتلك ان في عندك نقطة عندك نقطة", "tokens": [3555, 3794, 9566, 9673, 4587, 10943, 9673, 4587, 10943, 4724, 1829, 9381, 13546, 4724, 3794, 9566, 37037, 15730, 28242, 9673, 9566, 2304, 2407, 3555, 8978, 2423, 7187, 13672, 1829, 3714, 29245, 23328, 43242, 8315, 1975, 3224, 16490, 1211, 9381, 2655, 2423, 7187, 20449, 995, 25528, 5296, 7649, 8032, 3215, 12610, 3660, 16712, 1211, 9307, 12174, 2407, 7649, 9957, 46811, 10943, 45164, 1975, 8315, 1975, 31371, 2655, 8608, 10721, 1211, 2655, 4117, 4032, 12174, 1211, 2655, 23275, 16472, 8978, 43242, 4117, 8717, 47432, 3660, 43242, 4117, 8717, 47432, 3660], "avg_logprob": -0.26544943552338673, "compression_ratio": 1.7670454545454546, "no_speech_prob": 9.59634780883789e-06, "words": [{"start": 3634.69, "end": 3635.09, "word": "بسط", "probability": 0.583251953125}, {"start": 3635.09, "end": 3635.77, "word": " المقام", "probability": 0.7857259114583334}, {"start": 3635.77, 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/tf8AB7dWwok.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/tf8AB7dWwok.srt
new file mode 100644
index 0000000000000000000000000000000000000000..506ae44469cd10da62483d09ddbb0b2dc448a648
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/tf8AB7dWwok.srt
@@ -0,0 +1,2452 @@
+1
+00:00:20,820 --> 00:00:22,960
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:22,960 --> 00:00:26,420
+بعد ال quiz المفاجئة تبعنا، هذا ببدأ في chapter 2
+
+3
+00:00:26,420 --> 00:00:30,600
+وبتمنى منك دائماً تبقى على تواصل مع المادة المادة
+
+4
+00:00:30,600 --> 00:00:34,760
+زريفة زي ما أنت شوفت، والمفروض ياشي تبقى ماشي اليوم
+
+5
+00:00:34,760 --> 00:00:40,470
+هنبدأ بـ chapter جديد بنسميه الجبر، والناس اللي درست 
+
+6
+00:00:40,470 --> 00:00:44,410
+علمي كانوا دائماً بخوفونا أن الجبر من المواد الصعبة
+
+7
+00:00:44,410 --> 00:00:47,830
+إلا أن الشغلات اللي بدنياها اليوم شغلات برضه
+
+8
+00:00:47,830 --> 00:00:50,330
+بسيطة، معادلة من الدرجة الأولى، معادلة من الدرجة
+
+9
+00:00:50,330 --> 00:00:53,270
+الثانية، وشوف كيف ممكن أشوف solution وأتعرف على
+
+10
+00:00:53,270 --> 00:00:59,070
+أساسية كالجبر، ليش الجبر صعب؟ لأنه فعلياً من
+
+11
+00:00:59,070 --> 00:01:01,750
+الرياضيات المجردة، من المواضيع المجردة في الجبر،
+
+12
+00:01:01,750 --> 00:01:05,410
+لكن احنا زي ما قلنا هناخد بعض الأمور التطبيقية أو
+
+13
+00:01:05,410 --> 00:01:07,570
+نستكشف بعض الأمور التطبيقية اللي ممكن تخدمنا في
+
+14
+00:01:07,570 --> 00:01:10,930
+موضوع الـ Graphics أو في موضوع التخصص اللي موجود
+
+15
+00:01:10,930 --> 00:01:16,070
+عندنا في مؤلف أو عالم رياضيات اسمه Russell في 
+
+16
+00:01:16,070 --> 00:01:21,920
+الـ 1903 كتب كتاب Principles of mathematics، أساسيات
+
+17
+00:01:21,920 --> 00:01:26,540
+الرياضيات، فجال في جملة واطفة جداً، the fact الحقيقة
+
+18
+00:01:26,540 --> 00:01:30,360
+أن الـ mathematics is a symbolic logic، عبارة عن 
+
+19
+00:01:30,360 --> 00:01:36,140
+مجموعة أو ترميز المنطق، يعني أنت بتكتب بكل بساطة
+
+20
+00:01:36,140 --> 00:01:40,860
+هيك، بيقول لك أن الرياضيات مادة منطقية ولا تتنافى مع
+
+21
+00:01:40,860 --> 00:01:48,850
+العقل مطلقاً، وهي من أفضل الاكتشافات في هذا العصر، أيش 
+
+22
+00:01:48,850 --> 00:01:53,590
+بيقول كمان؟ وإذا هذه الحقيقة ترسخت في عقولنا، عنا
+
+23
+00:01:53,590 --> 00:01:59,350
+باقي الأمور في الرياضيات، باقي الأمور في الرياضيات
+
+24
+00:01:59,350 --> 00:02:04,710
+وأساسي الرياضيات، هتبقى عبارة عن تحليل للمنطق اللي 
+
+25
+00:02:04,710 --> 00:02:10,690
+احنا بنتكلم عليه، طبعاً الكلام بكل بساطة، ليش أنا 
+
+26
+00:02:10,690 --> 00:02:18,710
+لما أناديه بقول X زائد 2 equal 0، بقول هذه تكافئ X 
+
+27
+00:02:18,710 --> 00:02:24,650
+تساوي نقص اثنين، طلعنا
+
+28
+00:02:24,650 --> 00:02:29,430
+الاثنين برا، مظبوط؟ Logic منطقية جداً أن هو
+
+29
+00:02:29,430 --> 00:02:32,710
+الفعالية مش أن أنا طلعت الاثنين برا، إضافة لطبّ رفّين
+
+30
+00:02:32,710 --> 00:02:37,970
+سالب اثنين، صح؟ لأن أساس الرياضيات في أي معادلة 
+
+31
+00:02:37,970 --> 00:02:42,210
+لازم تضل المعادلة الـ covariance لما تقول هذه تساوي
+
+32
+00:02:42,210 --> 00:02:47,750
+هذه، فتخيلهم كأفتين ميزان ولازم يكون متساويات، أي 
+
+33
+00:02:47,750 --> 00:02:50,830
+شيء تعملها على الطرف اليمين تطبقه على الطرف 
+
+34
+00:02:50,830 --> 00:02:51,870
+اليسار
+
+35
+00:02:58,540 --> 00:03:02,720
+سالب اثنين، سالب اثنين، نموذج اثنين، صفر، لما عشان
+
+36
+00:03:02,720 --> 00:03:06,280
+تبقى الـ balance لازم أضيف سالب اثنين على الطرف 
+
+37
+00:03:06,280 --> 00:03:09,900
+الثاني، صفر وسالب اثنين، سالب اثنين بتصفر عندي X 
+
+38
+00:03:09,900 --> 00:03:13,240
+بتساوي سالب اثنين، هذا الـ Logic هذا المنطق اللي
+
+39
+00:03:13,240 --> 00:03:17,660
+بتكلم فيه Russell، ما دون ذلك من أساسيات الرياضيات
+
+40
+00:03:17,660 --> 00:03:21,160
+هي عبارة زي ما قلت عن تحليل لمنطقة الرياضيات و
+
+41
+00:03:21,160 --> 00:03:23,280
+الأمور الموجودة عندها، anyway
+
+42
+00:03:26,030 --> 00:03:29,690
+احنا الآن بدنا نعمل مقدمة بسيطة للرياضيات اللي
+
+43
+00:03:29,690 --> 00:03:33,190
+موجودة هنا، الـ Fundamental واحدة من أساسيات الجبر
+
+44
+00:03:33,190 --> 00:03:38,290
+أنه بتعطينا اسم أو لازم أعطي اسم لكل quantity أنا
+
+45
+00:03:38,290 --> 00:03:43,410
+بدي أتعامل معاها، بدي أعطي اسم لكل كمية أنا بدي
+
+46
+00:03:43,410 --> 00:03:48,310
+أتعامل معاها، أديك مثال لو أجيت وقلت لك بدي أحسب
+
+47
+00:03:48,310 --> 00:03:54,770
+مساحة الدائرة، بدي أحسب مساحة الدائرة، قانون مساحة
+
+48
+00:03:54,770 --> 00:04:02,700
+الدائرة معروف، باي ار تربيع، بينفعش أدي X وأسكت هيك 
+
+49
+00:04:02,700 --> 00:04:09,900
+لأ، الكمية هذه لازم أعطيها اسم، C Area مثلاً، مساحة
+
+50
+00:04:09,900 --> 00:04:17,020
+الدائرة، Circle Area، هذه الكمية بتصير تشير للأرقام 
+
+51
+00:04:17,020 --> 00:04:24,600
+الموجودة، حتى البي كرمز للقيمة، نختصرها بـ 3.14 من
+
+52
+00:04:24,600 --> 00:04:28,860
+100، الـ R هي عبارة عن نصف القطر تبع الدائرة اللي 
+
+53
+00:04:28,860 --> 00:04:31,740
+أنا بدي أشتغل عليها وليكن على سبيل المثال هي
+
+54
+00:04:31,740 --> 00:04:44,260
+الدائرة ونصف القطر يساوي نصف، معناته نصف تربيع، أهم 
+
+55
+00:04:44,260 --> 00:04:47,960
+مبدأ أو أول مبدأ في الرياضيات في التعامل مع الجبر
+
+56
+00:04:47,960 --> 00:04:54,410
+أن كل كمية لازم تأخذ اسم، الاسم عبارة عن رمز موجود
+
+57
+00:04:54,410 --> 00:04:58,430
+الناس اللي درست علمي في الثانوية، لما أتكلم على الـ
+
+58
+00:04:58,430 --> 00:05:01,750
+velocity أو على السرعة، كان دائماً بيجيبوا رمز، أيش 
+
+59
+00:05:01,750 --> 00:05:10,150
+الـ V، الـ distance D، مظبوط، الوقت time T، فكل رمز كان 
+
+60
+00:05:10,150 --> 00:05:13,930
+يمثل أو أول حرف من الكلمة اللي موجودة بالعربي
+
+61
+00:05:13,930 --> 00:05:18,310
+سرعة، scene، عين، عين 
+
+62
+00:05:21,940 --> 00:05:28,820
+تساوي .. أيش تساوي السرعة؟ المسافة على الزمن .. 
+
+63
+00:05:28,820 --> 00:05:36,560
+زين، الـ velocity تساوي distance over time، هذه 
+
+64
+00:05:36,560 --> 00:05:40,220
+معادلة في الآخر، هذه عبارة عن كميات، عبارة عن أرقام
+
+65
+00:05:40,220 --> 00:05:44,500
+بدون ما أعرف قيمة الـ T وقيمة الـ D، مش حصل لين؟ للـ
+
+66
+00:05:44,500 --> 00:05:46,180
+V الموجودة عندي .. تمام
+
+67
+00:05:52,970 --> 00:05:56,770
+واحنا بنعرف أن العمليات الحسابية الأساسية، الجمع 
+
+68
+00:05:56,770 --> 00:06:00,770
+والطرح والضرب والقسمة، وشوفنا في الفصل chapter الماضي 
+
+69
+00:06:00,770 --> 00:06:04,050
+أو الفصل الماضي بعض العمل، شوت عرفنا على بعض
+
+70
+00:06:04,050 --> 00:06:13,970
+القوانين مثل الدال والتوزيع والتجميع، تمام، الآن 
+
+71
+00:06:13,970 --> 00:06:17,830
+عادة لما أنا بتكلم على جبر، معناته أنا بتكلم على 
+
+72
+00:06:17,830 --> 00:06:23,890
+معادلة AX زائد BY نقص D تساوي صفر، على سبيل المثال هذه
+
+73
+00:06:23,890 --> 00:06:28,330
+معادلة، المتغير فيها اللي عندي X وY، عبارة عن
+
+74
+00:06:28,330 --> 00:06:33,550
+متغيرات، بينما A وB وD والصفر هذه عبارة عن ثوابت
+
+75
+00:06:33,550 --> 00:06:38,470
+موجودة عندي بتتحكم في القيمة النهائية تبع المتغير
+
+76
+00:06:38,470 --> 00:06:42,150
+اللي موجودة عندها، اتعرفنا سابقاً في الـ chapter
+
+77
+00:06:42,150 --> 00:06:46,530
+الماضي على الـ equal، مظبوط؟ بقولنا من أهم الشغلات 
+
+78
+00:06:46,530 --> 00:06:49,900
+اللي ارتبت على الـ natural numbers اللي هي أيش
+
+79
+00:06:49,900 --> 00:06:54,500
+الجميع، واليساوي اليساوي بيقول as the same as، مثل 
+
+80
+00:06:54,500 --> 00:06:57,200
+والـ plus أو الـ add اللي هي one more
+
+81
+00:07:00,370 --> 00:07:04,730
+Sin أو Equal أو Balance إلى آخرها، وقلنا وزي ما
+
+82
+00:07:04,730 --> 00:07:09,070
+تأكدنا قبل شوية أن عشان تبقى المعادلة في حالة 
+
+83
+00:07:09,070 --> 00:07:13,810
+تساوي، أي شغل بسويه على أي طرف بننفذه على الطرف
+
+84
+00:07:13,810 --> 00:07:17,170
+الثاني، على سبيل المثال لو أنا قررت أخلص من السالب 
+
+85
+00:07:17,170 --> 00:07:23,510
+D high، شو بدي أساوي؟ أضيف لهم موجب D، مظبوط؟ وعلى
+
+86
+00:07:23,510 --> 00:07:26,310
+طرف الثاني لازم أضيف موجب دي، اللي احنا بنختصرها
+
+87
+00:07:26,310 --> 00:07:31,730
+دائماً بروح بقول له بنجلت دي مع تغيير الإشارة مع 
+
+88
+00:07:31,730 --> 00:07:37,030
+تغيير الإشارة، في ضرب سالب واحد هي تغيير الإشارة لو
+
+89
+00:07:37,030 --> 00:07:40,370
+كانت موجبة وضربت في سالب واحد بتصير سالبة، ولو
+
+90
+00:07:40,370 --> 00:07:43,370
+كانت سالبة وضربت في سالب واحد بتصير موجبة
+
+91
+00:07:51,400 --> 00:07:54,120
+لو جاء وقال لي هل في عندي معادلة بالشكل التالي ..
+
+92
+00:07:54,120 --> 00:08:00,620
+لو كان في عندي معادلة بالشكل التالي، وبقول لي أعيد
+
+93
+00:08:00,620 --> 00:08:08,600
+ترتيب المعادلة بحيث أن تكون الـ X هي الـ subject
+
+94
+00:08:08,600 --> 00:08:12,260
+الـ X هي الـ subject، أيش يعني الـ subject؟ يعني بدي
+
+95
+00:08:12,260 --> 00:08:16,660
+تجيب لي قيمة X لحالها، بدي تجيب الـ X لحالها
+
+96
+00:08:19,620 --> 00:08:24,020
+تمام، خليني شوية شوية، مشكور يا أستاذ خضر؟ هاي أيش 
+
+97
+00:08:24,020 --> 00:08:27,900
+اسمك؟ الجنبي خضر؟ أيش اسمك؟ طب أنت جبت الورق
+
+98
+00:08:27,900 --> 00:08:32,060
+عشان إيه؟ كان أنا قلت خضر؟ آه كامل، الآن كامل 
+
+99
+00:08:32,060 --> 00:08:40,800
+بيقول كتالة شباب، ناخذ البسط نضربه في الـ Y أو ناخذ
+
+100
+00:08:40,800 --> 00:08:44,280
+المقام نضربه في البسط أو بنبسن يعمل ضرب تبادلي في 
+
+101
+00:08:44,280 --> 00:08:49,560
+المعادلة اللي عندي هنا، مش هادي Y على واحد، بقعته
+
+102
+00:08:49,560 --> 00:08:56,040
+بتصير في عندي Y مضروبة في اثنين ناقص واحد على زد
+
+103
+00:08:56,040 --> 00:09:09,900
+تساوي X زائد أربعة، ننقص بأربعة، علاقه بأثنين، X 
+
+104
+00:09:09,900 --> 00:09:17,090
+زائد أربعة ناقص أربعة تساوي Y في اثنين ناقص واحد
+
+105
+00:09:17,090 --> 00:09:23,310
+على زد ناقص أربعة X 
+
+106
+00:09:23,310 --> 00:09:32,430
+بدها تساوي Y في اثنين ناقص واحد على زد ناقص أربعة 
+
+107
+00:09:32,430 --> 00:09:40,890
+هيا بدك تحلل أكثر، شو بدك تساوي؟ بدك تدخل
+
+108
+00:09:43,450 --> 00:09:49,650
+توزع الـ Y على الطرح، مظبوط؟ وبعد هيك تكمل يعني
+
+109
+00:09:49,650 --> 00:09:57,250
+هتصير في عندك اثنين Y ناقص Y على Z الكل ناقص أربعة
+
+110
+00:09:57,250 --> 00:10:03,330
+صحيح؟ توحد مقاماتها؟ مش مشكلة، فأنت الآن حتى
+
+111
+00:10:03,330 --> 00:10:07,180
+بالمعادلة البسيطة هذه وصلت لها أيش؟ للحل المقلوب
+
+112
+00:10:07,180 --> 00:10:11,700
+منك بغض النظر أيش كانت المعادلة اللي موجودة ولو
+
+113
+00:10:11,700 --> 00:10:16,360
+قلّبنا منك تجيبها بدلالة الـ Z، أيش هتفرج معك
+
+114
+00:10:16,360 --> 00:10:20,880
+الأمور؟ نفس العملية هتبدأ فيها الخطوات واحدة واحدة
+
+115
+00:10:20,880 --> 00:10:24,520
+شكلي أنا بس مغيّق ناس في المثال، أغير الـ Z لو في
+
+116
+00:10:24,520 --> 00:10:28,200
+المثال، قلّبنا، بيقول لك خلّي الـ Z هي الـ subject، الـ Z
+
+117
+00:10:28,200 --> 00:10:33,510
+تصير أيش؟ لحالها، شوفك تساوي نفس الخطوات السابقة
+
+118
+00:10:33,510 --> 00:10:39,150
+طبعاً الآن بعد ما أنا بضرب بالشكل هذا بضرب، هخلص 
+
+119
+00:10:39,150 --> 00:10:45,370
+من وين؟ بدي اخذ .. أنا هتصير المسألة هيك مش X، بدي
+
+120
+00:10:45,370 --> 00:10:54,470
+هتساوي، الآن هتصير في عندي Y على Z، بدي هتساوي X2Y-X
+
+121
+00:10:54,470 --> 00:10:57,050
+-4 ولا شو رأيكم؟
+
+122
+00:10:59,640 --> 00:11:03,560
+هي من هنا بيبدأ أخذ الزبدة لحالها، هاي المعادلة، طب
+
+123
+00:11:03,560 --> 00:11:09,640
+الآن شو أساوي أنا؟ بدأ أخلص من؟ بدي أخلص من الـ Y
+
+124
+00:11:09,640 --> 00:11:15,680
+عيد هذه؟ بعد ما وصلت لهنا يا شباب، قلت لكم ماشي الحل
+
+125
+00:11:15,680 --> 00:11:18,760
+هيا، افترض أن هذه معادلة جديدة، افترض أن هذه معادلة 
+
+126
+00:11:18,760 --> 00:11:24,320
+جديدة وهتلي قيمة الزبدة لحالها، هتلي قيمة الزبدة
+
+127
+00:11:24,320 --> 00:11:29,800
+لحالها، شو بقيت أساوي؟ بدي آخذ الـ Z هذه على الطرف
+
+128
+00:11:29,800 --> 00:11:37,420
+الثاني وآخذ الـ X مكانها، تصير Y على Z تساوي 2Y
+
+129
+00:11:37,420 --> 00:11:43,320
+ناقص X ناقص 4، أثبات؟ أمور تنهي الشباب؟ الشباب 
+
+130
+00:11:43,320 --> 00:11:46,880
+ما بشتغلش الشيء، أنا بس بحاول أبدل الـ terms اللي 
+
+131
+00:11:46,880 --> 00:11:56,180
+موجودة، طب أنا بس بدي الـ Z، ما بديش الـ YZ على Y تساوي 1 
+
+132
+00:11:56,180 --> 00:12:06,220
+على 2Y نقص X نقص 4، الآن اضرب في Y عشان أخلص من
+
+133
+00:12:06,220 --> 00:12:17,320
+المقام اللي هنا، معناته Z يساوي Y على 2Y نقص X نقص
+
+134
+00:12:17,320 --> 00:12:17,600
+4
+
+135
+00:12:24,590 --> 00:12:28,510
+فما عندك أي مشكلة، طالما أنّه فيه balance تستخدم الـ
+
+136
+00:12:28,510 --> 00:12:32,570
+Logic أو العمليات البسيطة اللي احنا بنعرفها، جمع و
+
+137
+00:12:32,570 --> 00:12:36,950
+ضرب وطرح وقسمة بس، وزي ما قلنا لك أيش ما بتسوي 
+
+138
+00:12:36,950 --> 00:12:40,910
+يمين بتسوي على الشمال عشان تحافظ على أنه دائماً
+
+139
+00:12:40,910 --> 00:12:45,470
+المعادلة تبقى في حالة تساوي أو متوازنة، تمام يا
+
+140
+00:12:45,470 --> 00:12:45,890
+شباب؟ 
+
+141
+00:12:59,590 --> 00:13:08,310
+هي موجودة هنا بس هيك زد نفس المثال يعني الأصل اللي
+
+142
+00:13:08,310 --> 00:13:11,690
+هتكون موجود معاك بالـ slides طبعا الـ slides على ال
+
+143
+00:13:11,690 --> 00:13:15,550
+model من امبارح اللي انتبهه طبعا حجابها معاه اللي 
+
+144
+00:13:15,550 --> 00:13:18,250
+ما انتبهش عادل الأمر ما ترك عنده الـ algebraic
+
+145
+00:13:18,250 --> 00:13:22,310
+expression عادة بيحتوي على مجموعة من الرؤوس أو من
+
+146
+00:13:22,310 --> 00:13:28,430
+الشغلات اللي احنا بنعرفها جذر الـ X square root طب
+
+147
+00:13:28,430 --> 00:13:31,890
+علشان أنا بأكدها على المصطلحات يا شباب عشان
+
+148
+00:13:31,890 --> 00:13:35,210
+ما تقوليش أنا بعرف الجذر بعرفش الـ root أو بعرفش الـ
+
+149
+00:13:35,210 --> 00:13:37,550
+square root في الامتحان لما يقولي that's square
+
+150
+00:13:37,550 --> 00:13:43,370
+root ايش المقصود فيها الجذر التربيعي the nth root
+
+151
+00:13:43,370 --> 00:13:47,470
+of X الجذر النوني بيجينا نسميه بالعربي تمام الجذر
+
+152
+00:13:47,470 --> 00:13:55,580
+الأس N X  أس N X to the power of N Sin X, Cos X, Tan X,
+
+153
+00:13:55,880 --> 00:14:03,000
+J, Jeta, Veta, V, Log X, Logarithm X, Lin X, 
+
+154
+00:14:03,140 --> 00:14:07,460
+Natural Logarithm X هذا من المصطلحات المستخدمة جدا
+
+155
+00:14:07,460 --> 00:14:12,020
+ومشهورة جدا في موضوع الجبر وستجدها تستخدمها
+
+156
+00:14:12,020 --> 00:14:18,410
+باستمرار عندما تتكلم عن التصميم كذلك في عندهم الـ
+
+157
+00:14:18,410 --> 00:14:21,070
+expression مجموعة من الـ symbols الرموز اللي احنا
+
+158
+00:14:21,070 --> 00:14:26,250
+كلنا بنعرفها less than, greater than, less than or
+
+159
+00:14:26,250 --> 00:14:30,970
+equal أقل من أكبر من أقل أو يساوي أكبر أو يساوي
+
+160
+00:14:30,970 --> 00:14:35,990
+تقريبا يساوي هي لا تساوي approximately equal
+
+161
+00:14:35,990 --> 00:14:41,390
+equivalent to هذه تكافي القيمة الثانية not equal
+
+162
+00:14:41,390 --> 00:14:45,970
+to والـ absolute value أو قيمة ايش القيمة المطلقة؟
+
+163
+00:14:47,390 --> 00:14:51,330
+القيمة الموجبة القيمة دائما موجبة إيش ما كانت قيمة
+
+164
+00:14:51,330 --> 00:14:58,750
+الـ X هي نفس القيمة لكنها موجبة في عندي أول معادلة
+
+165
+00:14:58,750 --> 00:15:03,410
+في الجبر اللي هي المعادلة الخطية من الدرجة الأولى
+
+166
+00:15:03,410 --> 00:15:08,110
+تمام سميها linear equation أو equation of degree
+
+167
+00:15:08,110 --> 00:15:14,270
+one ولما أنا بقول degree معناته دائما المتغير X هو
+
+168
+00:15:14,270 --> 00:15:20,150
+الأساس اللي موجود عندها مثل ax زائد b equal 0 الآن
+
+169
+00:15:20,150 --> 00:15:25,030
+x هي المتغير ab عبارة عن constant ومن المستحيل
+
+170
+00:15:25,030 --> 00:15:30,070
+تكون الـ a صفر ليش لو .. ليش يا شباب لأن لو كانت
+
+171
+00:15:30,070 --> 00:15:37,690
+صفر لو كانت صفر بتصير الـ b equal 0 المعادلة غلط الـ
+
+172
+00:15:37,690 --> 00:15:43,010
+a هي قيمة لا تساوي صفر أو قيمة وبالتالي لازم تكون
+
+173
+00:15:43,010 --> 00:15:49,290
+الـ A لا تساوي صفر وبقدر أنا أقوله هيك AX equal 0
+
+174
+00:15:49,290 --> 00:15:51,130
+ايش بتقدر تفهم من المعادلة هي؟
+
+175
+00:15:54,890 --> 00:15:59,070
+يا إما الـ A تساوي صفر أو الـ X تساوي صفر إذا أنا 
+
+176
+00:15:59,070 --> 00:16:03,910
+ضمنت لك إن الـ X لا تساوي صفر فحتما الـ X تساوي صفر
+
+177
+00:16:03,910 --> 00:16:08,170
+إذا أنا ضمنت لك إن الـ A لا تساوي صفر فحتما الـ X
+
+178
+00:16:08,170 --> 00:16:14,350
+تساوي صفر تمام لما أنا بدي أقول لك بدي الـ route أو
+
+179
+00:16:14,350 --> 00:16:19,550
+بدي أحل المعادلة ايش بدي أحل المعادلة مفهومها ..
+
+180
+00:16:19,550 --> 00:16:22,530
+ايه بيصحي الحضور وغياب الشباب؟ بفهمت بأحل
+
+181
+00:16:22,530 --> 00:16:26,330
+المعادلة أو لما بيقول لي هتل الجذر تبع المعادلة the
+
+182
+00:16:26,330 --> 00:16:31,770
+root of the equation بيعني تجيب لقيمة X اللي بتخلي
+
+183
+00:16:31,770 --> 00:16:38,650
+المعادلة صفر مثل هي لو أنا أتيت سألتك هتل الـ root
+
+184
+00:16:38,650 --> 00:16:42,990
+تبع الـ X هنا أو هتل الـ root للمعادلة هذه هتل قيمة
+
+185
+00:16:42,990 --> 00:16:48,410
+X اللي بتحقق المعادلة هنا بحيث إن لو عوضت عن X
+
+186
+00:16:50,440 --> 00:16:54,160
+بالقيمة اللي تطلع معانا هتكون المعادلة الصحيحة بكل
+
+187
+00:16:54,160 --> 00:17:03,280
+بساطة أول حقول لك هان ax تساوي minus b بصبت؟
+
+188
+00:17:03,280 --> 00:17:10,520
+أنا بالآن بدي أجيب قيمة x اللي من خلالها المعادلة
+
+189
+00:17:10,520 --> 00:17:17,460
+هذه هتتحقق تساوي صفر بنسميها الـ route الآن x
+
+190
+00:17:17,460 --> 00:17:24,660
+بتساوي minus b على a بصبوط الآن هذه هي الـ route
+
+191
+00:17:24,660 --> 00:17:30,400
+هذا هو الحل قيمة x لما تكون minus b على a المعادلة
+
+192
+00:17:30,400 --> 00:17:36,120
+هذه بتصير صفر تعال نعوض a مضروبة في minus b على a
+
+193
+00:17:36,120 --> 00:17:45,880
+زائد b الـ a مع الـ a نختصرها minus b زائد b 0
+
+194
+00:17:45,880 --> 00:17:50,360
+وبالتالي الـ X أو الـ root لما أتكلم على الـ root
+
+195
+00:17:50,360 --> 00:17:54,240
+للمعادلة معناته أنا بدي أجيب قيمة X اللي بتخلي
+
+196
+00:17:54,240 --> 00:17:58,520
+المعادلة هذه صفر قيمة X اللي بتخلي المعادلة هذه
+
+197
+00:17:58,520 --> 00:18:03,500
+صفر المعادلة
+
+198
+00:18:03,500 --> 00:18:07,080
+الثانية أو الـ quadratic equation اللي عندي أو
+
+199
+00:18:07,080 --> 00:18:13,080
+المعادلة من الدرجة الثانية المعادلة التربيعية
+
+200
+00:18:14,140 --> 00:18:18,080
+Quadratic الآنصار بس هنتكلم على نتين هنتكلم على
+
+201
+00:18:18,080 --> 00:18:24,040
+Linear و Quadratic Quad اللي هي X وصفر تربيع لما
+
+202
+00:18:24,040 --> 00:18:31,360
+تلاقي الـ X عندك تربيع وهي تُكتب على صورة AX تربيع
+
+203
+00:18:31,360 --> 00:18:42,140
+زائد BX زائد C تمام وين استخدمها؟ إلى استخدامات
+
+204
+00:18:42,140 --> 00:18:48,460
+كثير المعادلة التربيعية في الـ graphics منها عشان
+
+205
+00:18:48,460 --> 00:18:56,100
+تتحدد الحركة العمودية لأي كرة بيك ترميها في السماء
+
+206
+00:18:56,100 --> 00:19:03,360
+وبدها تنزل ما ينفعش لما أثناء تصميم يا شباب يروح الطفل
+
+207
+00:19:03,360 --> 00:19:06,820
+أو المجسم اللي بتحركه جاعد بيرمي الكورة لفوق
+
+208
+00:19:06,820 --> 00:19:10,760
+الكورة تظل طالعة تختفي إلى ما لا نهاية ولا بعد ساعة
+
+209
+00:19:10,760 --> 00:19:15,560
+تروح وهي نازلة مرة ثانية هذا كلام مش منطقي طيب ليش؟
+
+210
+00:19:15,560 --> 00:19:18,460
+الأصل اللي قلنا سابقا أو في أول محاضرة التقينا
+
+211
+00:19:18,460 --> 00:19:22,760
+فيها أنه أنا بدي أطبطب كل حاجة تكون غريبة للحقيقة
+
+212
+00:19:22,760 --> 00:19:26,540
+أو للواقع اللي موجود عندها وبناء عليه أنا بدي أحدد
+
+213
+00:19:26,540 --> 00:19:33,290
+زمن سقوط الكورة S of T معادلة الزمنية اللي عندها
+
+214
+00:19:33,290 --> 00:19:39,190
+تساوي Minus G هي الـ gravity الجاذبية T تربيع
+
+215
+00:19:39,190 --> 00:19:45,870
+زائد الـ initial velocity في T زائد H0 اللي هو
+
+216
+00:19:45,870 --> 00:19:54,190
+النقطة اللي ارتفعت منها الكرة المقصود فيها إن يحدد
+
+217
+00:19:54,190 --> 00:19:56,930
+موضوع الكورة بعد
+
+218
+00:19:59,440 --> 00:20:06,580
+T من الزمن أنا الآن رميت الكورة للأعلى مين بتحكم
+
+219
+00:20:06,580 --> 00:20:12,100
+في السرعة الـ initial velocity قوة اللي رميتها فيها
+
+220
+00:20:12,100 --> 00:20:16,480
+المفروض ثقة الكورة كذلك اللي تدخل في الموضوع لكن
+
+221
+00:20:16,480 --> 00:20:20,940
+في عند الجاذبية وفي عند الزمن كذلك بده يأثر وجداش
+
+222
+00:20:20,940 --> 00:20:24,340
+المفترض الارتفاع اللي طلقت عن الأرض غير ما طلقت عن
+
+223
+00:20:24,340 --> 00:20:31,190
+ارتفاع متر أو مترين Anyway بالمجموع إن هذه معادلة من
+
+224
+00:20:31,190 --> 00:20:33,930
+الدرجة الثانية أو معادلة تربيعية أو quadratic
+
+225
+00:20:33,930 --> 00:20:41,030
+equation طيب لما بيجي بقول لي حل المعادلات التربيعية
+
+226
+00:20:41,030 --> 00:20:45,090
+أو بيدي حل للمعادلة التربيعية ايش المقصود فيها؟
+
+227
+00:20:45,090 --> 00:20:49,010
+تمام إنه أجيب الـ root للمعادلة التربيعية يعني أجيب
+
+228
+00:20:49,010 --> 00:20:55,020
+قيمة X اللي بتخلي المعادلة التربيعية تتساوي صفر حقا
+
+229
+00:20:55,020 --> 00:20:59,340
+في المثال البسيط اللي عندي هنا x بساوي X تربيعه
+
+230
+00:20:59,340 --> 00:21:04,540
+ساوي 16 كل اللي سويته أنا أضفت X تربيعه ساوي 16
+
+231
+00:21:04,540 --> 00:21:10,740
+على الطرفين أضفت 16 على الطرفين صارت عندي الـ X
+
+232
+00:21:10,740 --> 00:21:15,000
+تربيعها ساوي 16 الآن بدي أخلص من التربيع أنا بقيمة
+
+233
+00:21:15,000 --> 00:21:23,460
+X أتجذرت التربيع على الـ 16 وهو تساوي موجب أو سالب
+
+234
+00:21:23,460 --> 00:21:28,200
+أربعة الآن لا في إلا المعادلة الخطية في عندي one
+
+235
+00:21:28,200 --> 00:21:33,400
+root في جذر واحد المعادلة الخطية لكن لما بتكلم على
+
+236
+00:21:33,400 --> 00:21:38,920
+معادلة تربيعية بتكلم على two roots بتكلم على جذرين
+
+237
+00:21:38,920 --> 00:21:47,610
+الآن لو أخذت موجب أربعة موجب أربع تربيعها 16 16-16
+
+238
+00:21:47,610 --> 00:21:52,950
+صفر سالب أربعة اللي هو الجذر الثاني سالب أربعة
+
+239
+00:21:52,950 --> 00:21:59,710
+تربيعها 16 16-16 ليش بالسالب يا صاحبي سالب أربعة
+
+240
+00:21:59,710 --> 00:22:05,650
+تربيعها هيعني هذا سالب أربعة ضرب سالب أربعة سالب مع
+
+241
+00:22:05,650 --> 00:22:10,830
+السالب موجب أربعة فأربعة ستة عشر طيب نشوف المثال
+
+242
+00:22:10,830 --> 00:22:11,310
+اللي قاعد
+
+243
+00:22:15,420 --> 00:22:26,500
+X تربيع ناقص 2 تساوي صفر نفس الكلام لكن في عندي
+
+244
+00:22:26,500 --> 00:22:32,280
+شغل أنا ايش أسهل بالحل هذا ايش هروح أقوله أنا هذا
+
+245
+00:22:32,280 --> 00:22:41,160
+X تربيع تساوي 2 X تساوي جذر الاثنين وبالتحديد موجب
+
+246
+00:22:41,160 --> 00:22:45,180
+أو سالب جذر اثنين، مصبوط؟ عشان لما أربعها أحصل على
+
+247
+00:22:45,180 --> 00:22:48,620
+الـ value هي لكن أنا في عندي طريقة ثانية اللي احنا
+
+248
+00:22:48,620 --> 00:22:52,940
+فعليا كنت بأحل فيها قيمة المعادلة اللي موجودة عندي
+
+249
+00:22:52,940 --> 00:22:58,200
+هنا هذه المعادلة بتتحلل X زائد جذر الاثنين مضروبة في
+
+250
+00:22:58,200 --> 00:23:04,580
+X ناقص جذر الاثنين تساوي صفر، معناته إما هذه تساوي
+
+251
+00:23:04,580 --> 00:23:10,380
+صفر أو هذا تساوي صفر لحظة أنا عملت ضرب حللتها هذا
+
+252
+00:23:10,380 --> 00:23:13,240
+بنسميه perfect square مربع كامل هنتكلم عليها كمان
+
+253
+00:23:13,240 --> 00:23:19,900
+لحظات فلما أنا حللتها معناه إما الحد الأول بيساوي
+
+254
+00:23:19,900 --> 00:23:25,090
+صفر أو الحد الثاني بيساوي صفر إذا كان الحد الأول
+
+255
+00:23:25,090 --> 00:23:30,750
+يساوي صفر معناته X زائد جذر الاثنين تساوي صفر
+
+256
+00:23:30,750 --> 00:23:35,570
+معناته X تساوي سالب جذر اثنين ولو كان الحد الثاني
+
+257
+00:23:35,570 --> 00:23:39,610
+هو اللي يساوي صفر معناته X بيبقى تساوي جذر اثنين
+
+258
+00:23:39,610 --> 00:23:46,090
+وعشان ايه دائما بيقول إما أو إما بيكون الجذر أربعة
+
+259
+00:23:46,090 --> 00:23:49,250
+أو سالب أربعة أو الجذر تساوي سالب اثنين لاحظت
+
+260
+00:23:49,250 --> 00:23:55,210
+فرقين الدون نفس نفس الحل لأن مستحيل لنفس المعادلة
+
+261
+00:23:55,210 --> 00:24:00,630
+ألاقي جذور مختلفة مع كل طريقة حل طيب
+
+262
+00:24:00,630 --> 00:24:06,210
+لما
+
+263
+00:24:06,210 --> 00:24:11,530
+باجي بقول لشباب مربع كامل على المعادلات الجبرية من
+
+264
+00:24:11,530 --> 00:24:15,010
+الدرجة الثانية أو المعادلات التربيعية لما بتكلم
+
+265
+00:24:15,010 --> 00:24:20,010
+على مصطلح مربع كامل مفهوم المربع الكامل أو الـ
+
+266
+00:24:20,010 --> 00:24:27,860
+perfect square إنه أنا الآن المعادلة تبعي بقدر
+
+267
+00:24:27,860 --> 00:24:31,940
+أكتبها على صورة a زائد b تساوي أو a b a زائد b لكل
+
+268
+00:24:31,940 --> 00:24:38,560
+تربيع بمعنى آخر هلاقي a تربيع زائد فك الجوز هذا
+
+269
+00:24:38,560 --> 00:24:42,160
+الأول في الثاني في اثنين اثنين ab زائد مربع
+
+270
+00:24:42,160 --> 00:24:47,920
+الثاني مربع الأول زائد مربع الثاني زائد مربع الأول
+
+271
+00:24:47,920 --> 00:24:55,980
+زائد الأول في الثاني في اثنين a تربيع زائد b تربيع
+
+272
+00:24:55,980 --> 00:25:01,080
+زائد 2AB مربع الأول زاد مربع الثاني زائد الأول في
+
+273
+00:25:01,080 --> 00:25:05,900
+الثاني في 2 مربع كامل طيب ايش أنا بستفيد من
+
+274
+00:25:05,900 --> 00:25:08,700
+المعادلات اللي بقدر فيها أتكلم فيها على مربع كامل
+
+275
+00:25:08,700 --> 00:25:14,760
+مباشرة الـ route هذا بيطلع معايا بشكل سلس في الحالة
+
+276
+00:25:14,760 --> 00:25:19,770
+السابقة أنا ما كانش في عندي term في الوسط أصبت؟ عشان
+
+277
+00:25:19,770 --> 00:25:22,230
+أنا أقدر أتكلم عليك ولما أتكلم احنا على معادلة
+
+278
+00:25:22,230 --> 00:25:25,890
+تربيعية المثال اللي احنا شفناه سابقا X تربيعية
+
+279
+00:25:25,890 --> 00:25:31,690
+ناقص 16 تساوي صفر وديبنا الـ root مباشرة كانت قيمة
+
+280
+00:25:31,690 --> 00:25:36,550
+الـ B أو قيمة اللي هان صفر فصارت بس العلاقة بين هان
+
+281
+00:25:36,550 --> 00:25:39,910
+و هنا في حالة سويّة هذه في عندي مشكلة أنا أول حلقة
+
+282
+00:25:39,910 --> 00:25:43,330
+أفكر فيها أبدأ أنظر هل المعادلة اللي عندي بتمثل
+
+283
+00:25:43,330 --> 00:25:47,330
+مربع كامل ولا لأ؟ كيف بدي أعرف مربع كامل ولا لأ؟
+
+284
+00:25:49,610 --> 00:25:53,810
+بتطلع على الحد الأول والحد الأخير إذا الاتنين بيمثلوا
+
+285
+00:25:53,810 --> 00:25:58,490
+أرقام مربعة بتطلع على مين؟ بعد هيك على 
+
+286
+00:25:58,490 --> 00:26:02,930
+الرقم اللي في النص تعال نشوف المربع الأول okay
+
+287
+00:26:02,930 --> 00:26:09,030
+مافيش .. عندنا فيه مشكلة x تربيع الحد الأخير 49 هل
+
+288
+00:26:09,030 --> 00:26:12,850
+الـ 49 بتمثل مربع كامل؟ مربع .. عفوا قيمة مربع
+
+289
+00:26:12,850 --> 00:26:18,520
+كامل لأس سبعة معناته دي سبعة تربيع ممتاز دلوقتي عندي
+
+290
+00:26:18,520 --> 00:26:21,320
+الآن القيمة اللي في الوسط اللي هي الأول الأول
+
+291
+00:26:21,320 --> 00:26:25,740
+في الثاني في 2 okay تمام بدي أشوف هل 2 في
+
+292
+00:26:25,740 --> 00:26:29,080
+7 في x الـ x هي موجودة دلوقتي عندي 2 في 7
+
+293
+00:26:29,080 --> 00:26:32,840
+القيمة اللي عندي هلاقي ايش 14 2 في 7
+
+294
+00:26:32,840 --> 00:26:42,740
+معناته إن المعادلة بتساوي x زائد 7 لكل تربيع x
+
+295
+00:26:42,740 --> 00:26:49,320
+زائد 7 الكل تربيع وهذا يبقى إن الـ x زائد 7
+
+296
+00:26:49,320 --> 00:26:56,280
+equal صفر ولا هي شو رأيكم؟ لأن أنا بدي أجيب الـ rule
+
+297
+00:26:56,280 --> 00:27:01,120
+تبعها x زائد 7 تساوي صفر لأن هي الحقيقة لأ
+
+298
+00:27:01,120 --> 00:27:06,460
+سيّنا من الـ x ننقل 7 الآن x زائد 7 مضروبة في x
+
+299
+00:27:06,460 --> 00:27:11,440
+زائد 7 هي الـ square مظبوط هي تساوي صفر
+
+300
+00:27:14,240 --> 00:27:18,000
+لما بدنا الـ Root لما بدي قيمة x اللي بتخلي
+
+301
+00:27:18,000 --> 00:27:24,420
+المعادلة بصفر هي .. هي المعادلة هي الـ Square حللته
+
+302
+00:27:24,420 --> 00:27:27,880
+هيك x زائد 7 في x زائد 7 طب ما هي الأوليات
+
+303
+00:27:27,880 --> 00:27:30,880
+الثانية بتساوي صفر؟ طب هما بينتهي الواحد مع إن أنا
+
+304
+00:27:30,880 --> 00:27:35,600
+في عندي جذر واحد اللي بيخلي القيمة بتصير صفر اللي
+
+305
+00:27:35,600 --> 00:27:44,310
+هي x تساوي سالب 7 لو أتيت أنا أعوّض ثاني لو أديت
+
+306
+00:27:44,310 --> 00:27:53,870
+هنا عوضت هنا سالب 7 تسعة وأربعين طيب 14
+
+307
+00:27:53,870 --> 00:27:59,830
+سالب 7 مضبوط زائد تسعة وأربعين اللي موجود عندي
+
+308
+00:27:59,830 --> 00:28:07,410
+هنا هل القيمة هي فعليًا هي بتصير صفر طيب
+
+309
+00:28:15,390 --> 00:28:20,890
+طيب الأهم كمان مرة لما أنا بدي أدور على المعادلة
+
+310
+00:28:20,890 --> 00:28:24,890
+الأصل أبدأ أفكر هل هي هذه الـ square root مربع كامل
+
+311
+00:28:24,890 --> 00:28:29,890
+تمام أنا بتكلم على طريقة استخلاص القيمة الأسهل
+
+312
+00:28:29,890 --> 00:28:32,990
+طريقة في الآخر أنت مطلوب منك تاخد الـ equation
+
+313
+00:28:32,990 --> 00:28:38,530
+تتأكد إنها صارت في الآخر تساوي صفر هيك بتكون أنت
+
+314
+00:28:38,530 --> 00:28:44,410
+حصلت على الـ root اللي موجود طيب تعال نشوف ايش ال
+
+315
+00:28:44,410 --> 00:28:49,910
+possible root لمعادلة بالشكل هذه يعني
+
+316
+00:28:49,910 --> 00:28:54,510
+الآن طيب لو أنا أجيت قولنا أو في عندك شوية أمثلة
+
+317
+00:28:54,510 --> 00:29:02,210
+القانون العام الأمثلة أو الأسئلة اللي عندنا أما
+
+318
+00:29:02,210 --> 00:29:07,070
+بتكون مربع كامل المعادلة التربيعية أما بتكون مربع
+
+319
+00:29:07,070 --> 00:29:10,650
+كامل أو بيكون قيمتين في بعض زي ما شفنا x زائد جذر
+
+320
+00:29:10,650 --> 00:29:14,210
+الاثنين و x ناقص جذر الاثنين عند التحليل أما بتعتمد
+
+321
+00:29:14,210 --> 00:29:17,330
+معها التحليل أو الطريقة الثالثة بتروح على مين
+
+322
+00:29:17,330 --> 00:29:24,190
+بتستخدم القانون العام للمعادلة التربيعية هذه
+
+323
+00:29:24,190 --> 00:29:29,130
+المعادلة التربيعية اللي عندي ولما برجع بذكرك
+
+324
+00:29:29,130 --> 00:29:32,750
+بتكلم على الـ root بدي قيمة x اللي بتخلي المعادلة
+
+325
+00:29:32,750 --> 00:29:33,790
+صفر
+
+326
+00:29:36,250 --> 00:29:43,950
+تمام الآن سالب b زائد أو ناقص عشان عندي two
+
+327
+00:29:43,950 --> 00:29:47,230
+possible roots لكن لاحظ مع الجذر التربيعي أو مع
+
+328
+00:29:47,230 --> 00:29:52,370
+المربع الكامل only one root الجذر التربيعي لـ b
+
+329
+00:29:52,370 --> 00:30:00,590
+تربيع ناقص 4ac على 2a تمام هذا القانون من وراء إجا
+
+330
+00:30:00,590 --> 00:30:08,540
+وبناء على ايش؟ طبعًا تعال نشوف نحاول مع بعض نحلل و
+
+331
+00:30:08,540 --> 00:30:12,140
+نشوف احنا كيف وصلنا للمعادلة هذه فعليًا طبعًا احنا
+
+332
+00:30:12,140 --> 00:30:15,820
+في الآخر في عندي two words أما minus b زائد الجذر
+
+333
+00:30:15,820 --> 00:30:21,220
+التربيعي لـ b تربيع ناقص 4ac على 2a أو x تساوي
+
+334
+00:30:21,220 --> 00:30:25,960
+minus b ناقص الجذر التربيعي ناقص الجذر التربيعي
+
+335
+00:30:25,960 --> 00:30:30,920
+لـ b تربيع ناقص 4ac الكل على 2a تعال نشوف يا صاحبي
+
+336
+00:30:32,000 --> 00:30:36,080
+المعادلة هذه كيف وصلنا للجذر التربيعي أو للقانون 
+
+337
+00:30:36,080 --> 00:30:41,220
+العام كيف وصلنا للقانون العام أحاول ركز معايا لأن
+
+338
+00:30:41,220 --> 00:30:45,660
+مش هشتغل شغل صعب كل ما هشتغله بكلام اللي احنا
+
+339
+00:30:45,660 --> 00:30:50,280
+بنعرفه بدي أحاول دائمًا أخلي المعادلة متزنة أو
+
+340
+00:30:50,280 --> 00:30:55,060
+متساوية تمام أنا بدور على قيمة مين يا شباب قيمة x
+
+341
+00:30:55,060 --> 00:31:01,160
+معناته الخطوة رقم واحد إن أنا بدي أنقل الـ c ننقل c
+
+342
+00:31:03,230 --> 00:31:12,890
+تمام بعد هيك بدي أخلص من قيمة الـ a خلصت
+
+343
+00:31:12,890 --> 00:31:20,670
+من قيمة الـ a فصار في عندي x تربيع زائد b على a
+
+344
+00:31:20,670 --> 00:31:25,390
+عشان أخلص من قيمة الـ a يعني بدي أقسم طرفين
+
+345
+00:31:25,390 --> 00:31:26,190
+المعادلة على
+
+346
+00:31:30,220 --> 00:31:33,220
+ليه لأ؟ إلى الآن، هاي، روح اقسم أطراف المعادلة
+
+347
+00:31:33,220 --> 00:31:40,320
+عندي على الـ a تمام؟
+
+348
+00:31:40,320 --> 00:31:44,460
+هذا مقام مشترك لطرفين، معناته هادي على a، الـ a
+
+349
+00:31:44,460 --> 00:31:50,340
+مع الـ a، و بتصفّر عندي مين؟ a على b تمام، هاي
+
+350
+00:31:50,340 --> 00:32:00,750
+المعادلة ax تربيع زائد bx زائد c equal 0 الآن أول
+
+351
+00:32:00,750 --> 00:32:04,290
+حاجة الـ constant ده ملزّمش أنا بدي قيمة x صار عندي
+
+352
+00:32:04,290 --> 00:32:13,250
+ax تربيع زائد bx تساوي ناقص c بظبط الآن بدي
+
+353
+00:32:13,250 --> 00:32:16,710
+أخلص من قيمة القلم على الـ x هذه اقسم الطرفين على الـ
+
+354
+00:32:16,710 --> 00:32:26,990
+a بتصفّى عندي x تربيع زائد b على a في x يساوي ناقص
+
+355
+00:32:26,990 --> 00:32:33,960
+c على a ممتاز الآن سيبنى من الـ constant هذا تعال
+
+356
+00:32:33,960 --> 00:32:38,480
+ندوّرها طيب الآن جابت شوية لما كنت أتكلم على مربع
+
+357
+00:32:38,480 --> 00:32:42,400
+كامل مربع
+
+358
+00:32:42,400 --> 00:32:46,220
+كامل ايش المربع الكامل اللي احنا قلنا a تربيع
+
+359
+00:32:46,220 --> 00:32:52,800
+زائد 2ab زائد d تربيع مضبوط تعال أسقطها على
+
+360
+00:32:52,800 --> 00:32:58,230
+الـ x هي اللي أنا عندها ليش a تربيع هذه موجودة وهذه
+
+361
+00:32:58,230 --> 00:33:05,770
+بتمثل مين؟ بتمثل مين؟ بتمثل 2a في b طيب قيمة
+
+362
+00:33:05,770 --> 00:33:12,130
+الـ b تربيع المفروض ليش تكون الـ a يا شباب؟ لأ تربيع
+
+363
+00:33:12,130 --> 00:33:19,830
+أول حاجة أتخيل لي هذه إذا كانت هكذا b على a في x
+
+364
+00:33:19,830 --> 00:33:24,130
+بدها تساوي 2
+
+365
+00:33:26,710 --> 00:33:30,430
+x في المتغير اللي موجود عندك هذي constant ما تنساش
+
+366
+00:33:30,430 --> 00:33:37,530
+مضبوط مضروبة في 2 2
+
+367
+00:33:37,530 --> 00:33:42,730
+x y أو ab طب هذي ab هي عند الـ a هيها أنت الـ x
+
+368
+00:33:42,730 --> 00:33:48,770
+هذه خلصت منها صفت عند 2b المفروض هذي مضبوط
+
+369
+00:33:48,770 --> 00:33:53,510
+يعني القيمة الآن اللي موجودة اللي راحت لما 2
+
+370
+00:33:53,510 --> 00:33:58,000
+راحت معناته إن في عندي b على 2a ايه؟ أرجع أقولك
+
+371
+00:33:58,000 --> 00:34:04,300
+ثاني b تربيع على 4a تربيع؟ أنا قاعد بقى
+
+372
+00:34:04,300 --> 00:34:11,640
+أقول إن قيمة الـ b هذه تساوي b على 2a؟
+
+373
+00:34:11,640 --> 00:34:14,920
+ليش؟
+
+374
+00:34:14,920 --> 00:34:20,160
+عشان لما أنا أضرب الأول في الثاني في 2 الأصل
+
+375
+00:34:20,160 --> 00:34:26,710
+سيطلع معايا يمين b على a في x؟ خليكم معايا ثاني
+
+376
+00:34:26,710 --> 00:34:30,970
+هذه المعادلة لأ لأ مش من الأول احنا لها نقطة ما فيش
+
+377
+00:34:30,970 --> 00:34:33,910
+عليها خلاف صح؟ أنا الآن من المجهول عندي في
+
+378
+00:34:33,910 --> 00:34:37,950
+المعادلة افترض إن هذه المعادلة بدي أضيف لها كمان
+
+379
+00:34:37,950 --> 00:34:43,190
+term وليكن اسمه z بدي أضيف لها حد بحيث إن يخلي
+
+380
+00:34:43,190 --> 00:34:49,650
+المعادلة مربع كامل بحيث إن هذا الـ term اللي في
+
+381
+00:34:49,650 --> 00:34:57,660
+الوسط بيصير يساوي 2 في x في z يعني أنا هيك بتصير x
+
+382
+00:34:57,660 --> 00:35:08,280
+تربيع زائد ba على x زائد z أنا بدي قيمة z بحيث إن
+
+383
+00:35:08,280 --> 00:35:13,760
+الـ z هذه قيمة مربعة بتكون مرفوعة على أس 2 وهذا
+
+384
+00:35:13,760 --> 00:35:21,460
+اللي في الوسط بدي يكون يساوي الأول هاي x موجود في
+
+385
+00:35:21,460 --> 00:35:25,970
+الثاني في 2 أنا الآن هذه القيمة المثلثة بتاعي
+
+386
+00:35:25,970 --> 00:35:37,990
+عندي الأول في الثاني في 2 يعني
+
+387
+00:35:37,990 --> 00:35:46,450
+2x في z تساوي b على a في x الـ z مش قيمتها
+
+388
+00:35:46,450 --> 00:35:56,930
+حرام عليك 2b على a غلط b على 2a مضبوط
+
+389
+00:35:56,930 --> 00:36:04,450
+يعني الآن هذا يعني إن الـ z تساوي b على 2a
+
+390
+00:36:04,450 --> 00:36:07,790
+أنا
+
+391
+00:36:07,790 --> 00:36:14,370
+عارف جزاك عشان كنت قلت لك okay صعبة
+
+392
+00:36:14,370 --> 00:36:14,810
+صح
+
+393
+00:36:19,390 --> 00:36:24,410
+هي الفكرة كمان مرة تتذكر روسل ايش قال؟ قال هي مجموعة
+
+394
+00:36:24,410 --> 00:36:28,810
+من الرموز المنطقية باقي الشغلات كلها بتعتمد على
+
+395
+00:36:28,810 --> 00:36:32,750
+التحليل للشغلات المنطقية هاي كيف بنوصل لها؟ شباب أنا
+
+396
+00:36:32,750 --> 00:36:36,170
+معنى .. معنى إنك تتوقف وتحاول تشغل دماغك شوية
+
+397
+00:36:36,170 --> 00:36:41,030
+معايا، بدي أعيدها أعملها بأرقام؟ أعملها بأرقام؟ لأ
+
+398
+00:36:41,030 --> 00:36:45,590
+بديش أعملها بأرقام طيب
+
+399
+00:36:48,180 --> 00:36:51,980
+بنعيد ثاني شباب احنا بنقول الآن كمان مرة المربع
+
+400
+00:36:51,980 --> 00:36:58,600
+الكامل لما بقول في عندي هنا a زائد b لكل تربيع ايش
+
+401
+00:36:58,600 --> 00:37:06,320
+تساوي a تربيع زائد 2ab اللي هو الأول في الثاني
+
+402
+00:37:06,320 --> 00:37:12,360
+في 2 زائد مربع الثاني ممتاز الآن الآن أنا عندي
+
+403
+00:37:12,360 --> 00:37:22,950
+في المعادلة x تربيع زائد p على x زائد متغير هنا
+
+404
+00:37:22,950 --> 00:37:30,310
+وأنا معنى في المتغير هذا يحوّل المعادلة عندي لمربع
+
+405
+00:37:30,310 --> 00:37:36,370
+كامل وأنا معنى إن يحوّل المعادلة عندي لمربع كامل
+
+406
+00:37:36,370 --> 00:37:40,990
+ايش القيمة اللي هتكون عندي هنا الأصل الأصل اللي
+
+407
+00:37:40,990 --> 00:37:45,350
+اشتغل فيها كالتالي إن أنا هذه أنا قاعد بأفترض إن
+
+408
+00:37:45,350 --> 00:37:49,330
+القيمة هذه تساوي z مضبوط؟ هذه المعادلة اللي في
+
+409
+00:37:49,330 --> 00:38:00,730
+الوسط b على a في x الأصل هذه تساوي 2x مضبوط مضبوط؟
+
+410
+00:38:00,730 --> 00:38:05,810
+ايش اللي كيف؟ هيها المربع الأول في الثاني في 2
+
+411
+00:38:05,810 --> 00:38:10,990
+القيمة اللي في الوسط هذه مضبوط؟ يعني هذه هيك
+
+412
+00:38:10,990 --> 00:38:13,950
+تخيلها زي التربيع هذه المعادلة هتصير زي التربيع
+
+413
+00:38:13,950 --> 00:38:19,670
+الآن عشان في الطبق .. هذه عندي b على a في x b على
+
+414
+00:38:19,670 --> 00:38:24,850
+a في x هي في الأصل ايش بتساوي؟ 2x الأول في
+
+415
+00:38:24,850 --> 00:38:30,970
+الثاني في 2 الـ x هو ساوي على 2a لأ؟ الـ
+
+416
+00:38:30,970 --> 00:38:39,790
+x هذه الحد الأول مطوية؟
+
+417
+00:38:41,630 --> 00:38:45,190
+لسه أنا بدي أجيب قيمة الـ z يا صاحبي أنا بدي أجيب
+
+418
+00:38:45,190 --> 00:38:48,050
+قيمة الـ z الآن الـ z هذه حسب المعادلة هذه ايش
+
+419
+00:38:48,050 --> 00:38:51,110
+تساوي b على 2a؟ b على 2a؟ b على
+
+420
+00:38:51,110 --> 00:38:53,590
+2a؟ b على 2a؟ b على 2a؟ b 
+
+
+421
+00:38:53,590 --> 00:38:59,870
+على اتنين ايه؟ بي على اتنين ايه؟ بي على اتنين ايه؟
+
+422
+00:38:59,870 --> 00:39:03,730
+بي على اتنين ايه؟ بي على اتنين ايه؟ بي على اتنين
+
+423
+00:39:03,730 --> 00:39:05,790
+ايه؟ بي على اتنين ايه؟ بي على اتنين ايه؟ بي على
+
+424
+00:39:05,790 --> 00:39:09,490
+اتنين ايه؟ بي على اتنين ايه؟ بي على 
+
+425
+00:39:17,770 --> 00:39:25,390
+معناته على الأقل هقول X تربيع زائد B على A في X
+
+426
+00:39:25,390 --> 00:39:34,650
+زائد B تربيع على 4A تربيع اللي بين قوسين B على 2A
+
+427
+00:39:34,650 --> 00:39:45,730
+الكل تربيع قيمة الزد تساوي minus C على A زائد نفس
+
+428
+00:39:45,730 --> 00:39:46,230
+القيمة
+
+429
+00:39:55,000 --> 00:40:03,600
+هذه هتصير عندي X تربيع زائد b على a في x زائد b
+
+430
+00:40:03,600 --> 00:40:10,880
+تربيع على أربعة a تربيع بتساوي minus c على a زائد
+
+431
+00:40:10,880 --> 00:40:20,160
+b تربيع على أربعة a تربيع طبعا هذا المفروض أنا 
+
+432
+00:40:20,160 --> 00:40:21,400
+مافيش داعي أني أحللها
+
+433
+00:40:25,320 --> 00:40:31,680
+ولا شو رأيكو X
+
+434
+00:40:31,680 --> 00:40:37,700
+زائد بي على اتنين ايه الكل تربيع يساوي الطرف اللي 
+
+435
+00:40:37,700 --> 00:40:43,120
+موجود عندي هنا هاي معادلة ساوي فيها واحد المقامات
+
+436
+00:40:43,120 --> 00:40:52,280
+واحد المقامات تساوي أربعة ايه تربيع ليه
+
+437
+00:40:52,280 --> 00:40:57,320
+شمل ايه تربيع بتشمل الـ A و ايش رأيك؟ يعني القالة
+
+438
+00:40:57,320 --> 00:41:04,980
+قلت لك أنا أربعة ا تربيع على ايه؟ ايش تساوي؟ أربعة 
+
+439
+00:41:04,980 --> 00:41:09,500
+ايه معناته
+
+440
+00:41:09,500 --> 00:41:17,940
+هي حسّب في عندي أربعة ا تربيع على ايه؟ سالب أربعة
+
+441
+00:41:17,940 --> 00:41:21,780
+ايه سي زائد
+
+442
+00:41:24,470 --> 00:41:31,470
+B تربيع لأن أربعة A تربيع على أربعة A تربيع واحد
+
+443
+00:41:31,470 --> 00:41:36,150
+أهلا تاني
+
+444
+00:41:36,150 --> 00:41:40,030
+ثاني توحيد مقامات يا صاحبي مش مشكلة لما أنا باجي
+
+445
+00:41:40,030 --> 00:41:47,810
+بقول A على B زائد C على D أسبوع
+
+446
+00:41:50,490 --> 00:41:55,510
+نضربهم مع بعض عشان يصير هذا مضاعف للثنين بظبط؟ بي
+
+447
+00:41:55,510 --> 00:42:06,590
+بي نأخذ بي بي على بي بي بي بي بي بي بي بي بي بي بي
+
+448
+00:42:06,590 --> 00:42:08,450
+بي بي بي بي بي بي بي بي بي بي بي بي بي بي بي بي بي
+
+449
+00:42:08,450 --> 00:42:09,050
+بي بي بي بي بي بي بي بي بي بي بي بي بي بي بي بي بي
+
+450
+00:42:09,050 --> 00:42:18,670
+بي بي بي بي بي بي بي بي بي بي بي 
+
+451
+00:42:18,670 --> 00:42:28,260
+بي بعلى B زائد C على 2B تربيع بدي آخذ مضاعف
+
+452
+00:42:28,260 --> 00:42:35,740
+للثنين مضاعف للثنين هو هذا 2B تربيع 2B
+
+453
+00:42:35,740 --> 00:42:46,240
+تربيع على B 2B 2B ضرب A 2AB زائد 2D
+
+454
+00:42:46,240 --> 00:42:55,740
+تربيع على 2D تربيع 1 في C C هادي
+
+455
+00:42:55,740 --> 00:43:04,600
+حاضر الآن
+
+456
+00:43:04,600 --> 00:43:07,940
+يا شباب حاولوا تركزوا معايا إن في شغلات كتير شكل
+
+457
+00:43:07,940 --> 00:43:16,440
+كنا سيناها أنتم بنقول A على B زائد C على 2 على سبيل 
+
+458
+00:43:16,440 --> 00:43:20,000
+المثال ممكن 3 أي قيمة بدك إياها وهنا كمان تستخدم
+
+459
+00:43:20,000 --> 00:43:24,040
+أي قيم بدك إياها ما فيش مشكلة في الموضوع الأصل لما
+
+460
+00:43:24,040 --> 00:43:30,540
+أنا بجمع كسور أوحد المقامات اللي بتكلمه الأصل
+
+461
+00:43:30,540 --> 00:43:37,560
+أوحد المقامات تساريعادةً يا شباب نضرب المقامين في
+
+462
+00:43:37,560 --> 00:43:41,820
+بعض عشان نحصل على مضاعف مشترك للثنين بس لو أنا 
+
+463
+00:43:41,820 --> 00:43:47,400
+طلعت فالمضاعف اللي عندي هنا الأول هو already موجود
+
+464
+00:43:47,400 --> 00:43:52,580
+يعني هذا 2B تربيع هو عبارة عن مضاعف للـ B وبالتالي 
+
+465
+00:43:52,580 --> 00:43:55,340
+ينفع أستخدمه هو ولو استخدمت الطريقة اللي احنا
+
+466
+00:43:55,340 --> 00:43:58,380
+بنقولها دائماً اضرب الثنين في بعض هتحصل على نفس
+
+467
+00:43:58,380 --> 00:44:02,560
+النتيجة هتختصر B وتأخذ عام مشترك فوق B وبعدين
+
+468
+00:44:02,560 --> 00:44:08,540
+تختصرها الآن بنقول فاحنا بنختصر الموضوع وبنأخذ 2B
+
+469
+00:44:08,540 --> 00:44:13,700
+تربيع اللي احنا بنسميها المضاعف المشترك الأصغر
+
+470
+00:44:13,700 --> 00:44:22,240
+المضاعف المشترك الأصغر طبعاً 2B تربيع على B 2B يعني
+
+471
+00:44:22,240 --> 00:44:25,320
+الـ B بتروح مع التربيع بتصير في عندي 2 وضربها في 
+
+472
+00:44:25,320 --> 00:44:31,640
+ايه؟ 2AB زائد لأن مش هو زائد 2 بي تربيع على
+
+473
+00:44:31,640 --> 00:44:39,500
+2 بي تربيع 1 في C C هيّا طيب
+
+474
+00:44:39,500 --> 00:44:46,840
+نرجع لمسألتنا وحدنا المقامات الآن وصرت في عندي أنا 
+
+475
+00:44:46,840 --> 00:44:56,560
+X زائد بي على اتنين A لكل تربيع هي المعادلة مظبوط
+
+476
+00:44:56,560 --> 00:44:57,140
+يا شباب؟
+
+477
+00:44:59,800 --> 00:45:06,840
+صح؟ تمام الآن بدي أقول أنا X طبعاً حاضر إن صح ما همش
+
+478
+00:45:06,840 --> 00:45:18,060
+الآن X زائد B على 2A تساوي الجذر التربيعي أو عفواً
+
+479
+00:45:18,060 --> 00:45:25,440
+موجب أو سالب الجذر التربيعي لـ -4AC زائد B تربيع
+
+480
+00:45:25,440 --> 00:45:26,100
+على
+
+481
+00:45:30,240 --> 00:45:37,280
+أربعة ايه تربيع نعم
+
+482
+00:45:37,280 --> 00:45:46,100
+آه مطلوب .. مطلوب .. مطلوب في المدرسة .. في
+
+483
+00:45:46,100 --> 00:45:48,760
+المدرسة غير احنا في الجامعة الآن اعتبره مطلوب منك
+
+484
+00:45:48,760 --> 00:45:53,820
+مش مشكلة مطلوب الآن في عندنا بقى ممكن نخلص من 
+
+485
+00:45:53,820 --> 00:45:59,580
+الجذر يا شباب هذه تمثل 2A لكل تربيع وبما أن هي تحت
+
+486
+00:45:59,580 --> 00:46:08,140
+الجذر معناه أنها تتساوي موجب أو زائد B تربيع لأن
+
+487
+00:46:08,140 --> 00:46:16,740
+عملية الجامعة عملية أدائية B تربيع ناقص 4AC على 2A
+
+488
+00:46:16,740 --> 00:46:24,680
+وهنا في الطرف الثاني X زائد B على 2A الآن 
+
+489
+00:46:24,680 --> 00:46:32,750
+قم بالـ X ما فيش حد يروح يا صاحبي ماينص
+
+490
+00:46:32,750 --> 00:46:41,950
+بي على اتنين اي زائد الجدر التربيعي لـ بي تربيع
+
+491
+00:46:41,950 --> 00:46:47,850
+ناقص أربعة اي سي على اتنين اي صار في عندي كسرين
+
+492
+00:46:47,850 --> 00:46:53,510
+بدي أجمعهم مع بعض نقلهم نفس المقاربتساوي سالب B
+
+493
+00:46:53,510 --> 00:47:01,550
+زائد او ناقص الجدر التربيعي لـ B تربيع ناقص 4AC على
+
+494
+00:47:01,550 --> 00:47:10,090
+2A وهذا قانون الجدر العام للوصول للروت للمعادلة
+
+495
+00:47:10,090 --> 00:47:16,210
+تشوف أنا الآن ما بنتكلمش في المعادلة أو في الاشتقاق 
+
+496
+00:47:16,210 --> 00:47:22,870
+من باب الطرف أنا معنى .. معنى أنه تصل لقناعها أن كل
+
+497
+00:47:22,870 --> 00:47:26,370
+العمليات اللي صارت هذه عمليات بسيطة بس بدها شوية 
+
+498
+00:47:26,370 --> 00:47:30,640
+تركيز حتماً و ما تقولنيش إنك عاجز عنها لما .. بقى مرة 
+
+499
+00:47:30,640 --> 00:47:33,200
+بسيطة و قبضة .. يعني ما فيش عندك مشكلة إنك تنجو 
+
+500
+00:47:33,200 --> 00:47:35,940
+واحد على طرف اليانين و طرف الشمال و لما تخلص من 
+
+501
+00:47:35,940 --> 00:47:39,700
+الجذر عشان تخلص من التربية بدك تأخذ جذر .. هذه كل
+
+502
+00:47:39,700 --> 00:47:44,360
+المعلومات عندي و عندك و عند غيرنا كمان لكن تبقى 
+
+503
+00:47:44,360 --> 00:47:46,720
+دائماً لو أنا في عند رهب من الرياضيات و بخاف منها 
+
+504
+00:47:46,720 --> 00:47:49,900
+.. لا يا صاحبي ما بدناش نخاف من الرياضيات الموضوع
+
+505
+00:47:49,900 --> 00:47:53,580
+هذا سهل .. الآن أنا حاطط لك عليه slide جاهز من ضمن
+
+506
+00:47:53,580 --> 00:47:59,910
+الـ .. و مطموعة كل خطوة ايش بنسوي فيها تمام؟ ما عليك
+
+507
+00:47:59,910 --> 00:48:06,210
+إلا تجرب لحالك بديك تجرب لوحدك لما تروح على البيت
+
+508
+00:48:06,210 --> 00:48:10,890
+تمام؟ تأخذ ورق و قلم و تكتب المعادلة التربيعية و
+
+509
+00:48:10,890 --> 00:48:13,830
+تحاول تشوف أنت لوين بتغلط عند النقطة اللي بتعجز
+
+510
+00:48:13,830 --> 00:48:17,830
+فيها ارجع للـ slide بس شوف مفتاح الحل و انساها
+
+511
+00:48:17,830 --> 00:48:18,250
+مفتاح الحل و انساها مفتاح الحل و انساها مفتاح الحل
+
+512
+00:48:18,250 --> 00:48:18,630
+و انساها مفتاح الحل و انساها مفتاح الحل و انساها
+
+513
+00:48:18,630 --> 00:48:18,790
+مفتاح الحل و انساها مفتاح الحل و انساها مفتاح الحل
+
+514
+00:48:18,790 --> 00:48:22,010
+و انساها مفتاح الحل و انساها بديش ياك تبصم بديك تبدأ
+
+515
+00:48:22,010 --> 00:48:25,670
+تشغل دماغك لأنه احنا معنيين كمان مرة إن بالتفكير
+
+516
+00:48:25,670 --> 00:48:28,970
+مش .. مش الحاجة لبصيمة يا جماعة الخير أنا بقول لك 
+
+517
+00:48:28,970 --> 00:48:32,170
+البصمة عندي بديه بخمسين فمية بس يعني أنا عاصف في
+
+518
+00:48:32,170 --> 00:48:36,410
+المادة ليش؟
+
+519
+00:48:36,410 --> 00:48:39,730
+لأن أنا معنى .. أنا معنى الدماغ اللي يشتغل تعال 
+
+520
+00:48:39,730 --> 00:48:45,940
+نشوف مفهوم الـ Roots هي هي معادلة هي معادلة مرسومة
+
+521
+00:48:45,940 --> 00:48:51,920
+ايش يعني الجذر؟ هي قيمة X اللي بتخلي المعادلة صفر
+
+522
+00:48:51,920 --> 00:48:58,560
+اللي بتخلي الـ Y صفر إما عن سالب اتنين أو موجب واحد
+
+523
+00:48:58,560 --> 00:49:06,560
+هاي معادلة تانية معادلة تربيعية لكنها ما لهاش real
+
+524
+00:49:06,560 --> 00:49:11,420
+root ما لهاش جذر حقيقي الجذر الحقيقي لازم يعمل تقاطع
+
+525
+00:49:11,420 --> 00:49:17,660
+مع الـ X-Axis الجذر الحقيقي لازم يعمل تقاطع مع
+
+526
+00:49:17,660 --> 00:49:22,420
+محور السينات الـ X-Axis لكن المعادلة هي يا شباب
+
+527
+00:49:22,420 --> 00:49:27,320
+ما لهاش جذر حقيقي الجذر تبعها تخيلي أو مركب لو 
+
+528
+00:49:27,320 --> 00:49:30,300
+أجيت أطبق عليها القانون العام حيُطلع عندي ثاني
+
+529
+00:49:30,300 --> 00:49:35,080
+بواحد تحت الجذر أو هتطلع عندك قيمة سالبة تحت الجدر
+
+530
+00:49:35,080 --> 00:49:38,300
+والقيمة السالبة عشان نقول عنها احنا قيمة خيالية 
+
+531
+00:49:38,300 --> 00:49:42,140
+وبالتالي فيها جدر غير حقيقي تعالى نطبق عليها
+
+532
+00:49:42,140 --> 00:49:45,620
+القانون العام ونشوف ايش بتطلع معانا تتذكر القانون 
+
+533
+00:49:45,620 --> 00:49:54,420
+العام A X زائد B X تربيع زائد B X زائد C تمام الآن
+
+534
+00:49:54,420 --> 00:50:00,380
+عند الـ A تساوي والـ B تساوي واحد والـ C تساوي واحد 
+
+535
+00:50:00,380 --> 00:50:04,940
+بصبح حسب القانون العام X تساوي minus B minus واحد
+
+536
+00:50:04,940 --> 00:50:14,620
+زائد أو ناقص ما بنفعش أبقى لواجب فيك دري بالك زائد
+
+537
+00:50:14,620 --> 00:50:21,180
+أو ناقص الجدر التربيعي لديه تربيع واحد ناقص أربعة 
+
+538
+00:50:21,180 --> 00:50:32,410
+A في C في واحد في واحدمظبوط على اتنين في واحد 
+
+539
+00:50:32,410 --> 00:50:39,950
+وتساوي واحد ناقص الجدر التربيعي زي أو زي ناقص 
+
+540
+00:50:39,950 --> 00:50:48,570
+الجدر التربيعي ناقص ثلاثة على اثنين ناقص ثلاثة في
+
+541
+00:50:48,570 --> 00:50:53,090
+الجدر يعني القيمة اللي عندي ايش قيمة تخيلية قيمة 
+
+542
+00:50:53,090 --> 00:50:57,950
+تخيلية وبالتالي هذه قيمة الجذر اللي موجودة عندي هنا 
+
+543
+00:50:57,950 --> 00:51:04,110
+تعال نشوف حلّه 
+
+544
+00:51:04,110 --> 00:51:15,410
+بنفس القضية هي بدي أحل أمثلة ثانية أنا هي 7x
+
+545
+00:51:15,410 --> 00:51:18,950
+تربيع زي 8x ناقص 11
+
+546
+00:51:22,120 --> 00:51:25,960
+الجذر التربيعي الآن بالقانون العام الـ بي ثمانية
+
+547
+00:51:25,960 --> 00:51:31,520
+ناقص ثمانية زائد أو ناقص الجذر التربيعي لـ بي أربعة
+
+548
+00:51:31,520 --> 00:51:39,300
+و ستين مظبوط ناقص أربعة A في C أربعة في سبعة 
+
+549
+00:51:39,300 --> 00:51:46,640
+ثمانية و عشرين في سالب أحد عشر يعني أربعة و عشرين
+
+550
+00:51:46,640 --> 00:51:47,340
+في أحد عشر
+
+551
+00:51:49,920 --> 00:51:54,940
+ثمانية و عشرين عشرة
+
+552
+00:51:54,940 --> 00:52:04,720
+ثلاثمية و ثمانية ناقص ثلاثمية و ثمانية سالف على 
+
+553
+00:52:04,720 --> 00:52:07,600
+اثنين في اثنين في اثنين في اثنين في اثنين في اثنين
+
+554
+00:52:07,600 --> 00:52:08,180
+في اثنين في اثنين في اثنين في اثنين في اثنين في
+
+555
+00:52:08,180 --> 00:52:08,380
+اثنين في اثنين في اثنين في اثنين في اثنين في اثنين
+
+556
+00:52:08,380 --> 00:52:09,020
+في اثنين في اثنين في اثنين في اثنين في اثنين في
+
+557
+00:52:09,020 --> 00:52:09,640
+اثنين في اثنين في اثنين في اثنين في اثنين في اثنين
+
+558
+00:52:09,640 --> 00:52:14,460
+اثنين في اثنين في اثنين في اثنين في اثنين  الأرقام
+
+559
+00:52:14,460 --> 00:52:19,440
+أصبحت جاهزة عندك ساوي ناقص ثمانية زائد أو ناقص
+
+560
+00:52:19,440 --> 00:52:27,380
+الجدر التربيعي عندك ثلاثمية و ثمانية جداش ثلاثمية 
+
+561
+00:52:27,380 --> 00:52:32,960
+واتنين وسبعين على أربع اتناشر جداش جدر التلاتمية
+
+562
+00:52:32,960 --> 00:52:40,020
+اتنين وسبعين يا شباب في حد معاه calculator ممنوع
+
+563
+00:52:40,020 --> 00:52:43,020
+استخدامها كتبتلي هيك القانون هيقولك عالمة كاملة
+
+564
+00:52:43,020 --> 00:52:47,600
+بالمناسبة أنا
+
+565
+00:52:47,600 --> 00:52:52,740
+بدي أجيب قيمة الـ X هيها أنا بدي أجيب قيمة الـ X
+
+566
+00:52:52,740 --> 00:52:58,000
+بناء على القانون العام لـ 
+
+567
+00:52:58,000 --> 00:53:04,020
+في شغل في حسبة غلط هان الشباب 308
+
+568
+00:53:04,020 --> 00:53:06,120
+و4 عندك 64 عندك 2
+
+569
+00:53:09,460 --> 00:53:14,080
+كيف تلت مية اتنين وسبعين تلت مية اتنين وسبعين
+
+570
+00:53:14,080 --> 00:53:14,700
+تلت مية اتنين وسبعين تلت مية اتنين وسبعين تلت
+
+571
+00:53:14,700 --> 00:53:17,340
+مية اتنين وسبعين تلت مية اتنين وسبعين تلت مية
+
+572
+00:53:17,340 --> 00:53:21,180
+اتنين وسبعين تلت مية اتنين وسبعين تلت مية اتنين
+
+573
+00:53:21,180 --> 00:53:24,540
+و سبعين تلت مية اتنين وسبعين تلت مية اتنين و
+
+574
+00:53:24,540 --> 00:53:29,540
+سبعين تلت مية اتنين وسبعين تلت مية اتنين وسبعين
+
+575
+00:53:29,540 --> 00:53:33,300
+تلت مية اتنين وسبعين تلت مية اتنين وسبعين تلت
+
+576
+00:53:33,300 --> 00:53:41,010
+مية اتنين وسبخلاص 19 .. مش قضية يا شباب كمان مرة
+
+577
+00:53:41,010 --> 00:53:47,770
+يعني ناقص 8 زائد 19.2 على 14 هذا الجدر الأول حسب
+
+578
+00:53:47,770 --> 00:53:52,710
+الحسبة اللي بتقولها جاعدين بعدين ناقص 8 ناقصت 19.2
+
+579
+00:53:52,710 --> 00:53:56,650
+على 14 وهذا الجدر الثاني تعالى نشوف .. أنا بتذكر
+
+580
+00:53:56,650 --> 00:54:00,750
+حلته بعيدة وبستيلة ميلاد قضام غير هيك تعالى نشوف
+
+581
+00:54:00,750 --> 00:54:05,150
+المعادلة الثانية المعادلة
+
+582
+00:54:05,150 --> 00:54:06,810
+الثانية A1
+
+583
+00:54:08,810 --> 00:54:16,890
+والـ B 7 والـ C 12 تمام نفس الكلام X تساوي ناقص 7
+
+584
+00:54:16,890 --> 00:54:22,850
+زائد أو ناقص الجذر التربيعي لتسعة وأربعين ناقص
+
+585
+00:54:22,850 --> 00:54:36,430
+أربع A C أربع في اتناش تمانية وأربعين على
+
+586
+00:54:36,430 --> 00:54:44,880
+اتنين A اتنين ايه؟ اتنين في واحد تساوي ناقص سبعة
+
+587
+00:54:44,880 --> 00:54:48,300
+زائد أو ناقص الجدر التربيعي تسعة وأربعين وناقص
+
+588
+00:54:48,300 --> 00:54:57,160
+تمانية وأربعين واحد على اتنين تساوي سبعة ناقص سبعة
+
+589
+00:54:57,160 --> 00:55:03,910
+زائد أو ناقص الواحد على اتنين ومعناته X اما بدها
+
+590
+00:55:03,910 --> 00:55:09,510
+تساوي سالب سبعة زائد واحد سالب ستة على اتنين سالب
+
+591
+00:55:09,510 --> 00:55:14,610
+ثلاثة أو الـ X بدها تساوي سالب سبعة وسالب واحد
+
+592
+00:55:14,610 --> 00:55:19,450
+سالب ثمانية على اتنين سالب أربعة وهي الـ two roots
+
+593
+00:55:19,450 --> 00:55:24,350
+اللي طلعوا عندها طيب هذه المعادلة ممكن أنا أحلها
+
+594
+00:55:24,350 --> 00:55:32,070
+بطريقة ثانية أسهل بالتحليل حلل الجثيم كيف تحليل
+
+595
+00:55:32,070 --> 00:55:36,510
+الجثين؟ مش صعب يا شباب عشان تعرف أن المعادلة تتحلل
+
+596
+00:55:36,510 --> 00:55:45,290
+ولا لأ مباشرة شوف مضاعفة أو عفوا القيم أو بلاش حلل
+
+597
+00:55:45,290 --> 00:55:49,850
+قيمة الـ 12 الـ 12 عبارة عن ايش؟ 12 واحد
+
+598
+00:55:49,850 --> 00:55:56,290
+بنحكيها 6 في 2 بتديش إياها 3 في 4
+
+599
+00:55:56,290 --> 00:56:01,090
+7 اللي هي مجموع في القمتينها معناته أنا بقدر
+
+600
+00:56:01,090 --> 00:56:09,090
+أقول X زائد 3 و X زائد 4 يساوي صفر معناته
+
+601
+00:56:09,090 --> 00:56:13,330
+X أما بتساوي سالب ثلاثة أو X بتساوي سالب بأي طريقة
+
+602
+00:56:13,330 --> 00:56:17,650
+أنت تحل بطرقك تحل حل بس أنا معنى أنك تبدأ إشغاليا
+
+603
+00:56:17,650 --> 00:56:23,940
+تفكر حتى بالتحقيق الأمر مصعب أعيد ثاني طيب الآن في
+
+604
+00:56:23,940 --> 00:56:34,100
+التالية بقدر أحلل دائما شوف عوامل الـ 12 اتجسم علي
+
+605
+00:56:34,100 --> 00:56:35,320
+2 بتخلص منها
+
+606
+00:56:40,870 --> 00:56:45,290
+زائد 6 6 في 1 6 في 1 الآن هي العناق
+
+607
+00:56:45,290 --> 00:56:48,790
+الصحيحة دي ممكن تظبط في 6 في 1 يعني X زائد
+
+608
+00:56:48,790 --> 00:56:56,090
+6 في X زائد 1 ممكن لو كانت 5 يا شباب أو
+
+609
+00:56:56,090 --> 00:57:00,050
+سالب 5 أو سالب 7 مابتصير أفكر بقيم ثانية
+
+610
+00:57:00,050 --> 00:57:05,300
+بالمبعث بمعاملات الـ 6 تمام؟ خلينا نبدأ عند
+
+611
+00:57:05,300 --> 00:57:08,380
+المعاملات من المحاضرة الجاية في الأمثلة هذه وبنبدأ
+
+612
+00:57:08,380 --> 00:57:10,460
+التحليق إن شاء الله من المرحلة الجاية نعطيكوا 
+
+613
+00:57:10,460 --> 00:57:10,780
+العافية
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/tf8AB7dWwok_postprocess.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/tf8AB7dWwok_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2e98a5fa163db483384234dbaf26b108cfb42b9a
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/tf8AB7dWwok_postprocess.srt
@@ -0,0 +1,2452 @@
+1
+00:00:20,820 --> 00:00:22,960
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:22,960 --> 00:00:26,420
+بعد ال quiz المفاجئة تبعنا هذا ببدأ في chapter 2
+
+3
+00:00:26,420 --> 00:00:30,600
+وبتمنى منك دائما تبقى على تواصل مع المادة المادة
+
+4
+00:00:30,600 --> 00:00:34,760
+زريفة زي ما انت شوفت والمفروض ياشي تبقى ماشي اليوم
+
+5
+00:00:34,760 --> 00:00:40,470
+هنبدأ ب chapter جديدبنسميه الجبر والناس اللي درست
+
+6
+00:00:40,470 --> 00:00:44,410
+علمي كانوا دائما بخوفونا أن الجبر من المواد الصعبة
+
+7
+00:00:44,410 --> 00:00:47,830
+إلا غير أن الشغلات اللي بدنياها اليوم شغلات برضه
+
+8
+00:00:47,830 --> 00:00:50,330
+بسيطة معادلة من الدرجة الأولى معادلة من الدرجة
+
+9
+00:00:50,330 --> 00:00:53,270
+التانية وشوف كيف ممكن أشوف solution و أتعرف على
+
+10
+00:00:53,270 --> 00:00:59,070
+أساسية كالجبرليش الجبر صعب؟ لأنه فعليًا من
+
+11
+00:00:59,070 --> 00:01:01,750
+الرياضيات المجردة، من المواضيع المجردة في الجبر،
+
+12
+00:01:01,750 --> 00:01:05,410
+لكن احنا زي ما قلنا هناخد بعض الأمور التطبيقية أو
+
+13
+00:01:05,410 --> 00:01:07,570
+نستكشف بعض الأمور التطبيقية اللي ممكن تخدمنا في
+
+14
+00:01:07,570 --> 00:01:10,930
+موضوع الـ Graphics أو في موضوع التخصص اللي موجود
+
+15
+00:01:10,930 --> 00:01:16,070
+عندنا في مؤلف أو عالم رياضيات اسمه Russell في
+
+16
+00:01:16,070 --> 00:01:21,920
+الـ1903 كتب كتابprinciple of mathematics أساسيات
+
+17
+00:01:21,920 --> 00:01:26,540
+الرياضيات فجال في جملة واطفة جدا the fact الحقيقة
+
+18
+00:01:26,540 --> 00:01:30,360
+ان ال mathematics is a symbolic logic عبارة عن
+
+19
+00:01:30,360 --> 00:01:36,140
+مجموعة او ترميز المنطق يعني انت بتكتب بكل بساطة
+
+20
+00:01:36,140 --> 00:01:40,860
+هيك بيقولك ان الرياضيات مادة منطقية ولا تتنافى مع
+
+21
+00:01:40,860 --> 00:01:48,850
+العقل مطلقا وهي من افضل الاكتشافات في هذا العصرأيش
+
+22
+00:01:48,850 --> 00:01:53,590
+بقول كمان وإذا هذه الحقيقة ترسخت في عقولنا عنا
+
+23
+00:01:53,590 --> 00:01:59,350
+باقى الأمور في الرياضيات باقى الأمور في الرياضيات
+
+24
+00:01:59,350 --> 00:02:04,710
+واساسي الرياضيات هتبقى عبارة عن تحليل للمنطق اللي
+
+25
+00:02:04,710 --> 00:02:10,690
+احنا بنتكلم عليه طبعا الكلام بكل بساطة لان ليش انا
+
+26
+00:02:10,690 --> 00:02:18,710
+لما اناديه بقول x زائد 2 equal 0 بقول هذه تكافئX
+
+27
+00:02:18,710 --> 00:02:24,650
+تساوي نقص اتنين طلعنا
+
+28
+00:02:24,650 --> 00:02:29,430
+الاتنين برا، مظبوط؟ Logic منطقية جدا ان هو
+
+29
+00:02:29,430 --> 00:02:32,710
+الفعالية مش ان انا طلعت الاتنين برا اضافة لطب رفين
+
+30
+00:02:32,710 --> 00:02:37,970
+سالب اتنين، صح؟ لأن أساس الرياضيات في أي معادلة
+
+31
+00:02:37,970 --> 00:02:42,210
+لازم تضل المعادلة ال covariance لما تقول هذي تساوي
+
+32
+00:02:42,210 --> 00:02:47,750
+هذي فتخيلهم كافتين ميزان و لازم يكون متساوياتأي
+
+33
+00:02:47,750 --> 00:02:50,830
+حاجة تعملها على الطرف اليمين تطبقها على الطرف
+
+34
+00:02:50,830 --> 00:02:51,870
+اليسار
+
+35
+00:02:58,540 --> 00:03:02,720
+سالي باتنين سالي باتنين نموذج باتنين صفر لما عشان
+
+36
+00:03:02,720 --> 00:03:06,280
+تبقى ال balance لازم اضيف سالي باتنين على الطرف
+
+37
+00:03:06,280 --> 00:03:09,900
+التاني صفر و سالي باتنين سالي باتنين بتصفر عندي X
+
+38
+00:03:09,900 --> 00:03:13,240
+بتساوي سالي باتنين هذا ال logic هذا المنطقه اللي
+
+39
+00:03:13,240 --> 00:03:17,660
+بتكلم فيه Russell ما دون ذلك من أساسيات الرياضيات
+
+40
+00:03:17,660 --> 00:03:21,160
+هي عبارة زي ما قلت عن تحليل لمنطقة الرياضيات و
+
+41
+00:03:21,160 --> 00:03:23,280
+الأمور الموجودة عندها anyway
+
+42
+00:03:26,030 --> 00:03:29,690
+احنا الآن بدنا نعمل مقدمة بسيطة للرياضيات اللي
+
+43
+00:03:29,690 --> 00:03:33,190
+موجودة هنا الـ Fundamental واحدة من أساسيات الجبر
+
+44
+00:03:33,190 --> 00:03:38,290
+انه بتعطينا اسم او لازم اعطي اسم لكل quantity انا
+
+45
+00:03:38,290 --> 00:03:43,410
+بدي اتعامل معاها بدي اعطي اسم لكل كمية انا بدي
+
+46
+00:03:43,410 --> 00:03:48,310
+اتعامل معاها اديك مثال لو اجيت وقلتلك بدي احسب
+
+47
+00:03:48,310 --> 00:03:54,770
+مساحة الدائرة بدي احسب مساحة الدائرة قانون مساحة
+
+48
+00:03:54,770 --> 00:04:02,700
+الدائرة معروفباي ار تربيع بينفعش ادي اكس واسكت هيك
+
+49
+00:04:02,700 --> 00:04:09,900
+لأ الكمية هذه لازم اعطيها اسم C Area مثلا مساحة
+
+50
+00:04:09,900 --> 00:04:17,020
+الدائرة Circle Area هذه الكمية بتصير تشير للأرقام
+
+51
+00:04:17,020 --> 00:04:24,600
+الموجودة حتى البي كرمز القيمةنختصرها بـ 3 هو 14 من
+
+52
+00:04:24,600 --> 00:04:28,860
+100 الـ R هي عبارة عن نصف القدر تبع الدائرة اللي
+
+53
+00:04:28,860 --> 00:04:31,740
+أنا بدي أشتغل عليها و ليكن على سبيل المثال هي
+
+54
+00:04:31,740 --> 00:04:44,260
+الدائرة و نص القدر يساوي نص معناته نص تربيع أهم
+
+55
+00:04:44,260 --> 00:04:47,960
+مبدأ أو أول مبدأ في الرياضيات في التعامل مع الجبر
+
+56
+00:04:47,960 --> 00:04:54,410
+أن كل كمية لازم تاخداسم الاسم عبارة عن رمز موجود
+
+57
+00:04:54,410 --> 00:04:58,430
+الناس اللي درست علمى في الثانوية لما اتكلم على ال
+
+58
+00:04:58,430 --> 00:05:01,750
+velocity او على السرعة كان دايما بيجيبوا مموذل ايش
+
+59
+00:05:01,750 --> 00:05:10,150
+ال V ال distance D مظبوط الوقت time T فكل رمز كان
+
+60
+00:05:10,150 --> 00:05:13,930
+بيمثل او اول حرف من الكلمة اللي موجودة بالعربي
+
+61
+00:05:13,930 --> 00:05:18,310
+سرعة scene عين عين
+
+62
+00:05:21,940 --> 00:05:28,820
+تساوي .. إيش تساوي السرعة؟ المسافة على الزمن ..
+
+63
+00:05:28,820 --> 00:05:36,560
+زين ال velocity تساوي distance over time هذه
+
+64
+00:05:36,560 --> 00:05:40,220
+معادلة في الآخر هذه عبارة عن كميات عبارة عن أرقام
+
+65
+00:05:40,220 --> 00:05:44,500
+بدون ما أعرف قمية ال T و قمية ال D مش حصل لين؟ لل
+
+66
+00:05:44,500 --> 00:05:46,180
+V الموجودة عندى .. تمام
+
+67
+00:05:52,970 --> 00:05:56,770
+واحنا بنعرف ان العمليات الحسابية الأساسية الجمع
+
+68
+00:05:56,770 --> 00:06:00,770
+والطرح والضرب والجسمة وشوفنا في الفصل شابتر الماضي
+
+69
+00:06:00,770 --> 00:06:04,050
+او الفصل الماضي بعض العمل اشوت عرفنا على بعض
+
+70
+00:06:04,050 --> 00:06:13,970
+القوانين مثل الدال والتوزيع والتجميع تمام الان
+
+71
+00:06:13,970 --> 00:06:17,830
+عادة لما انا بتكلم على جبر معناته انا بتكلم على
+
+72
+00:06:17,830 --> 00:06:23,890
+معادلةAX زائد BY نقص D تساوي صفر عصبي للمثال هذه
+
+73
+00:06:23,890 --> 00:06:28,330
+معادلة مي المتغير فيها اللي عندى X و Y عبارة عن
+
+74
+00:06:28,330 --> 00:06:33,550
+متغيرات بينما A و B و D و الصفر هذه عبارة عن ثوابت
+
+75
+00:06:33,550 --> 00:06:38,470
+موجودة عندى بتتحكم في القيمة النهائية تبع المتغير
+
+76
+00:06:38,470 --> 00:06:42,150
+اللي موجودة عندها اتعرفنا سابقا في ال chapter
+
+77
+00:06:42,150 --> 00:06:46,530
+الماضي على ال equal مصبوط بقولنا من أهم الشغلات
+
+78
+00:06:46,530 --> 00:06:49,900
+اللي اترتبت على ال natural numbersاللي هي ايش
+
+79
+00:06:49,900 --> 00:06:54,500
+الجميع واليساوي اليساوي يقول as the same as مثل
+
+80
+00:06:54,500 --> 00:06:57,200
+وال plus او ال add اللي هي one more
+
+81
+00:07:00,370 --> 00:07:04,730
+Sin أو Equal أو Balance إلى آخرها وقلنا وزي ما
+
+82
+00:07:04,730 --> 00:07:09,070
+اتأكدنا قبل شوية انه عشان تبقى المعادلة في حالة
+
+83
+00:07:09,070 --> 00:07:13,810
+تساوي أي شغل بسويها على أي طرف بننفذها على الطرف
+
+84
+00:07:13,810 --> 00:07:17,170
+التاني على سبيل المثال لو أنا قررت أخلص من السالب
+
+85
+00:07:17,170 --> 00:07:23,510
+D high شو بدى أساوي؟ أضيف لهم موجة D مظبوط؟وعلى
+
+86
+00:07:23,510 --> 00:07:26,310
+طرف التاني لازم اضيف موجبة دي اللي احنا بنختصرها
+
+87
+00:07:26,310 --> 00:07:31,730
+دائما بروح بقوله بنجلت دي مع تغيير الاشارة مع
+
+88
+00:07:31,730 --> 00:07:37,030
+تغيير الاشارة في ضرب سالب واحد هي تغيير الاشارة لو
+
+89
+00:07:37,030 --> 00:07:40,370
+كانت موجبة وضربت في سالب واحد بتصير سالبة و لو
+
+90
+00:07:40,370 --> 00:07:43,370
+كانت سالبة وضربت في سالب واحد بتصير موجبة
+
+91
+00:07:51,400 --> 00:07:54,120
+لو جاء و قال لي هل في عندي معادلة بالشكل التالي ..
+
+92
+00:07:54,120 --> 00:08:00,620
+لو كان في عندي معادلة بالشكل التالي و بقوللي اعيد
+
+93
+00:08:00,620 --> 00:08:08,600
+ترتيب المعادلة بحيث انها تكون ال X هي ال subject
+
+94
+00:08:08,600 --> 00:08:12,260
+ال X هي ال subject ايش يعني ال subject؟ يعني بدي
+
+95
+00:08:12,260 --> 00:08:16,660
+تجيبلي قيمة X لحالها بدي تجيب ال X لحالها
+
+96
+00:08:19,620 --> 00:08:24,020
+تمام خلّيني شويه شويه مشكور يا أستاذ خضر؟ هاي إيش
+
+97
+00:08:24,020 --> 00:08:27,900
+إسمك؟ الجنبي خضر؟ إيش إسمك؟ طب أنت جيبته الورق
+
+98
+00:08:27,900 --> 00:08:32,060
+عشان أيه كان أنا قولت خضر؟ آه كامل، الآن كامل
+
+99
+00:08:32,060 --> 00:08:40,800
+بيقول كتالة شباب ناخد البصد نضربه في ال Y أو ناخد
+
+100
+00:08:40,800 --> 00:08:44,280
+المقار نضربه في البصد أو بنبسن يعمل ضرب تبادلي في
+
+101
+00:08:44,280 --> 00:08:49,560
+المعادلة اللي عندي هنامش هادي y على واحد بقعته
+
+102
+00:08:49,560 --> 00:08:56,040
+بتتصير في عندي y مضروبة في اتنين ناقص واحد على زبط
+
+103
+00:08:56,040 --> 00:09:09,900
+تساوي x زائد اربعة تفسل باربع علاق بارفين x x
+
+104
+00:09:09,900 --> 00:09:17,090
+زائد اربعة ناقص اربعة تساوي y فيهتنين ناقص واحد
+
+105
+00:09:17,090 --> 00:09:23,310
+على زد ناقص أربعة X
+
+106
+00:09:23,310 --> 00:09:32,430
+بدها تساوي Y في تنين ناقص واحد على زد ناقص أربعة
+
+107
+00:09:32,430 --> 00:09:40,890
+هيا بدك تحلل أكتر شو بدك تساوي بدك تدخل
+
+108
+00:09:43,450 --> 00:09:49,650
+توزع ال Y على الطريح مظبوط وبعد هيك تكمل يعني
+
+109
+00:09:49,650 --> 00:09:57,250
+هتصير في عندك اتنين Y ناقص Y على Z الكل ناقص اربع
+
+110
+00:09:57,250 --> 00:10:03,330
+صحيح؟ توحد مقاماتها؟ مش مشكلة فانت الآن حتى
+
+111
+00:10:03,330 --> 00:10:07,180
+بالمعادلة البسيطة هذه وصلت ليها ايش؟للحل المقلوب
+
+112
+00:10:07,180 --> 00:10:11,700
+منك بغض النظر إيش كانت المعادلة اللي موجودة و لو
+
+113
+00:10:11,700 --> 00:10:16,360
+قلبنا منك تجيبها بدلالة الـ Z إيش هتفرج معاك
+
+114
+00:10:16,360 --> 00:10:20,880
+الأمور؟ نفس العملية هتبدأ فيها الخطوات واحدة واحدة
+
+115
+00:10:20,880 --> 00:10:24,520
+شكلي أنا بس مغيق ناس في المثال أغير الـ Z لو في
+
+116
+00:10:24,520 --> 00:10:28,200
+المثال قلبنا يقولك خلّي الـ Z هي ال subject الـ Z
+
+117
+00:10:28,200 --> 00:10:33,510
+تصير أيش؟لحالها شوفك تساوي نفس الخطوات السابقة
+
+118
+00:10:33,510 --> 00:10:39,150
+طبعا الان بعد ما انا بضرب بالشكل هذا بضرب هخلص
+
+119
+00:10:39,150 --> 00:10:45,370
+منين؟ بدي اخد .. انا هتصير المسألة هيك مش X بدي
+
+120
+00:10:45,370 --> 00:10:54,470
+هتساوي الان هتصير في عندي Y على Z بدي هتساوي X2Y-X
+
+121
+00:10:54,470 --> 00:10:57,050
+-4 ولا شو رأيكوا؟
+
+122
+00:10:59,640 --> 00:11:03,560
+هي من هنا بيبدأ أخد الزبدة لحالها هاي المعادلة طب
+
+123
+00:11:03,560 --> 00:11:09,640
+الآن شو أساوي انا؟ بدأ أخلص من؟ بدي أخلص من ال Y
+
+124
+00:11:09,640 --> 00:11:15,680
+عيد هذه؟ بعد ما وصلت لهنا يا شباب قلتلك ماشي الحل
+
+125
+00:11:15,680 --> 00:11:18,760
+هيا افترض ان هذه معادلة جديدة افترض ان هذه معادلة
+
+126
+00:11:18,760 --> 00:11:24,320
+جديدة و هتلي قيمة الزبدة لحالها هتلي قيمة الزبدة
+
+127
+00:11:24,320 --> 00:11:29,800
+لحالها، شو بقيت ساوي؟بدي أخد الـ Z هذه على الطرف
+
+128
+00:11:29,800 --> 00:11:37,420
+التاني و أخد ال X مكانها تصير Y على Z تساوي 2Y
+
+129
+00:11:37,420 --> 00:11:43,320
+ناقص X ناقص 4 أثبات؟ أمور تنهي الشباب؟ الشباب
+
+130
+00:11:43,320 --> 00:11:46,880
+مابشتغلش الشيء أنا بس بحاول أبدل ال terms اللي
+
+131
+00:11:46,880 --> 00:11:56,180
+موجودة طب أنا بس بدي ال Z بديش ال YZ على Y تساوي 1
+
+132
+00:11:56,180 --> 00:12:06,220
+على 2Y نقص X نقص 4 الان اضرب في Y عشان اخلص من
+
+133
+00:12:06,220 --> 00:12:17,320
+المقال اللي هان معناته Z يساوي Y على 2Y نقص X نقص
+
+134
+00:12:17,320 --> 00:12:17,600
+4
+
+135
+00:12:24,590 --> 00:12:28,510
+فاش عندك اي مشكلة طالما انه فيه balance تستخدم ال
+
+136
+00:12:28,510 --> 00:12:32,570
+logic او العمليات البسيطة اللي احنا بنعرفها جمع و
+
+137
+00:12:32,570 --> 00:12:36,950
+ضرب و طرح و قسمة بس و زي ما قلنالك ايش ما بتسوي
+
+138
+00:12:36,950 --> 00:12:40,910
+يمين بيك تسوي على الشمال عشان تحافظ على انه دائما
+
+139
+00:12:40,910 --> 00:12:45,470
+المعادة تبقى في حالة تساوي او متوازنة تمام يا
+
+140
+00:12:45,470 --> 00:12:45,890
+شباب؟
+
+141
+00:12:59,590 --> 00:13:08,310
+هي موجودة هنا بس هيك زد نفس المثال يعني الأصل اللي
+
+142
+00:13:08,310 --> 00:13:11,690
+هتكون موجود معاك بال slides طبعا ال slides على ال
+
+143
+00:13:11,690 --> 00:13:15,550
+model من امبارح اللي انتبهه طبعا حجابها معاه اللي
+
+144
+00:13:15,550 --> 00:13:18,250
+ماانتبهش عادل الأمر ماترك عنده ال algebraic
+
+145
+00:13:18,250 --> 00:13:22,310
+expression عادة بيحتوي على مجموعة من الرؤوس او من
+
+146
+00:13:22,310 --> 00:13:28,430
+الشغلات اللي احنا بنعرفهاجذر ال X square root طب
+
+147
+00:13:28,430 --> 00:13:31,890
+علشان انا بنأكدها على المصطلحات يا شباب عشان
+
+148
+00:13:31,890 --> 00:13:35,210
+ماتقوليش انا بعرف الجذر بعرفش ال root او بعرفش ال
+
+149
+00:13:35,210 --> 00:13:37,550
+square root في الامتحان لما يقولي that's square
+
+150
+00:13:37,550 --> 00:13:43,370
+root ايش المقصود فيها الجذر التربيعي the nth root
+
+151
+00:13:43,370 --> 00:13:47,470
+of X الجذر النولي بيجينا نسميه بالعربي تمام الجذر
+
+152
+00:13:47,470 --> 00:13:55,580
+أسن X أسن X to the power of NSin X, Cos X, Tan X,
+
+153
+00:13:55,880 --> 00:14:03,000
+J, Jeta, Veta, V, Log X, Logarithm X, Lin X,
+
+154
+00:14:03,140 --> 00:14:07,460
+Natural Logarithm X هذا من المصطلحات المستخدمة جدا
+
+155
+00:14:07,460 --> 00:14:12,020
+ومشهورة جدا في موضوع الجبر وستجدها تستخدمها
+
+156
+00:14:12,020 --> 00:14:18,410
+باستمرار عندما تتكلم عن التصميمكذلك في عندهم ال
+
+157
+00:14:18,410 --> 00:14:21,070
+expression مجموعة من ال symbols الرموز اللي احنا
+
+158
+00:14:21,070 --> 00:14:26,250
+كلنا بنعرفها less than, greater than, less than or
+
+159
+00:14:26,250 --> 00:14:30,970
+equal اقل من اكبر من اقل او يساوي اكبر او يساوي
+
+160
+00:14:30,970 --> 00:14:35,990
+تقريبا يساوي هي لا تساوي approximately equal
+
+161
+00:14:35,990 --> 00:14:41,390
+equivalent to هذه تكافي القيمة التانية not equal
+
+162
+00:14:41,390 --> 00:14:45,970
+to وال absolute value او قيمة ايش القيمة المطلقة؟
+
+163
+00:14:47,390 --> 00:14:51,330
+القيمة الموجبة القيمة دائما موجبة إش ما كانت قيمة
+
+164
+00:14:51,330 --> 00:14:58,750
+ال X هي نفس القيمة لكنها موجبة في عندي أول معادلة
+
+165
+00:14:58,750 --> 00:15:03,410
+في الجبر اللي هي المعادلة الخطية من الدرجة الأولى
+
+166
+00:15:03,410 --> 00:15:08,110
+تمام سميها linear equation أو equation of degree
+
+167
+00:15:08,110 --> 00:15:14,270
+one و لما أنا بقول degree معناته دائما المتغير Xهو
+
+168
+00:15:14,270 --> 00:15:20,150
+الأساس اللي موجود عندها مثل ax زائد b equal 0 الان
+
+169
+00:15:20,150 --> 00:15:25,030
+x هي المتغير ab عبارة عن constant ومن المستحيل
+
+170
+00:15:25,030 --> 00:15:30,070
+تكون ال a صفر ليش لو .. ليش يا شباب لأن لو كانت
+
+171
+00:15:30,070 --> 00:15:37,690
+صفر لو كانت صفر بتصير ال b equal 0المعادلة غلط ال
+
+172
+00:15:37,690 --> 00:15:43,010
+P هي قيمة لا تساوي صفر أو قيمة وبالتالي لازم تكون
+
+173
+00:15:43,010 --> 00:15:49,290
+ال A لا تساوي صفر و بقدر انا اقوله هيك AX equal 0
+
+174
+00:15:49,290 --> 00:15:51,130
+ايش بتقدر تفهم من المعادلة هاي
+
+175
+00:15:54,890 --> 00:15:59,070
+يا اما ال A تساوي صفر أو ال X تساوي صفر اذا انا
+
+176
+00:15:59,070 --> 00:16:03,910
+ضمنتلك ان ال X لا تساوي صفر فحتما ال X تساوي صفر
+
+177
+00:16:03,910 --> 00:16:08,170
+اذا انا ضمنتلك ان ال A لا تساوي صفر فحتما ال X
+
+178
+00:16:08,170 --> 00:16:14,350
+تساوي صفر تمام لما انا بدي اقولك بدي ال route او
+
+179
+00:16:14,350 --> 00:16:19,550
+بدي احلي المعادلة ايش بدي احلي المعادلة مفهومها ..
+
+180
+00:16:19,550 --> 00:16:22,530
+ايه بيصيحي الحضور و غياب الشباب؟بفهمت بأحل
+
+181
+00:16:22,530 --> 00:16:26,330
+المعادلة او لما بيقولي هتل الجذر تبع المعادلة the
+
+182
+00:16:26,330 --> 00:16:31,770
+root of the question بيعني تجيب لقيمة X اللي بتخلي
+
+183
+00:16:31,770 --> 00:16:38,650
+المعادلة صفر مثل هاي لو انا اتيت سألتك هتل ال root
+
+184
+00:16:38,650 --> 00:16:42,990
+تبعت ال X هنا او هتل ال root للمعادلة هذه هتل قيمة
+
+185
+00:16:42,990 --> 00:16:48,410
+X اللي بتحقق المعادلة هنا بحيث ان لو عوّبت عن X
+
+186
+00:16:50,440 --> 00:16:54,160
+بالقيمة اللى تطلع معانا هتكون المعادلة الصحيحة بكل
+
+187
+00:16:54,160 --> 00:17:03,280
+بساطة اول حقولك هان ax تساوي minus b بصبت؟
+
+188
+00:17:03,280 --> 00:17:10,520
+انا بالان بدي اجيب قيمة x اللى من خلالها المعادلة
+
+189
+00:17:10,520 --> 00:17:17,460
+هذه هتتحقق تساوي صفر بنسميها ال route الان x
+
+190
+00:17:17,460 --> 00:17:24,660
+بتتساوي minus bعلى a بصبوط الآن هذه هي ال route
+
+191
+00:17:24,660 --> 00:17:30,400
+هذا هو الحل قيمة x لما تكون minus b على a المعادلة
+
+192
+00:17:30,400 --> 00:17:36,120
+هذه بتصير صفر تعالى نعوض a مضروبة في minus b على a
+
+193
+00:17:36,120 --> 00:17:45,880
+زائد b ال a مع ال a نختصرها minus b زائد b0
+
+194
+00:17:45,880 --> 00:17:50,360
+وبالتالي الـ X أو الـ root لما اتكلم على الـ root
+
+195
+00:17:50,360 --> 00:17:54,240
+للمعادلة معناته انا بدي اجيب قيمة X اللي بتخلي
+
+196
+00:17:54,240 --> 00:17:58,520
+المعادلة هذه صفر قيمة X اللي بتخلي المعادلة هذه
+
+197
+00:17:58,520 --> 00:18:03,500
+صفر المعادلة
+
+198
+00:18:03,500 --> 00:18:07,080
+التانية او ال quadratic equation اللي عندي او
+
+199
+00:18:07,080 --> 00:18:13,080
+المعادلة من الدرجة التانية المعادلة التربيعية
+
+200
+00:18:14,140 --> 00:18:18,080
+Quadratic الانصار بس هنتكلم على دنتين هنتكلم على
+
+201
+00:18:18,080 --> 00:18:24,040
+Linear و Quadratic Quad اللي هي X وصفر تربيع لما
+
+202
+00:18:24,040 --> 00:18:31,360
+تلاقي ال X عندك تربيع وهي تُكتب على صورة AX تربيع
+
+203
+00:18:31,360 --> 00:18:42,140
+زائد BX زائد C تمام وين استخدمها؟الى استخدامات
+
+204
+00:18:42,140 --> 00:18:48,460
+كتير المعادلة التربيعية في ال graphics منها عشان
+
+205
+00:18:48,460 --> 00:18:56,100
+تتحدد الحركة العمودية لأي كرة بيك ترميها في السماء
+
+206
+00:18:56,100 --> 00:19:03,360
+و بدها تنزلبنفعش لما أثناء تصميم شباب يروح الطفل
+
+207
+00:19:03,360 --> 00:19:06,820
+أو المجسم اللي بتحركه جاعد بيرمي الكورة لفوق
+
+208
+00:19:06,820 --> 00:19:10,760
+الكورة تظل طالع تختفي إلى ملا نهاية ولا بعد ساعة
+
+209
+00:19:10,760 --> 00:19:15,560
+تروح لهي نازلة مرة تانية هذا كلام مش منطق طيب ليش؟
+
+210
+00:19:15,560 --> 00:19:18,460
+الأصل اللي قلنا سابقا أو في أول محاضرة التقينا
+
+211
+00:19:18,460 --> 00:19:22,760
+فيها أنه أنا بدي أطبط كل حاجة تكون غريبة للحقيقة
+
+212
+00:19:22,760 --> 00:19:26,540
+أو للواقع اللي موجود عندها وبناء عليه أنا بدي أحدد
+
+213
+00:19:26,540 --> 00:19:33,290
+زمن سقوط الكورةS of T معادلة الزمنية اللي عندها
+
+214
+00:19:33,290 --> 00:19:39,190
+تساوي Minus G الهي ال gravity الجاذبية T تربيع
+
+215
+00:19:39,190 --> 00:19:45,870
+زائد ال initial velocity في T زائد H0 اللي هو
+
+216
+00:19:45,870 --> 00:19:54,190
+النقطة اللي ارتفعت منها الكرة المقصود فيها ان يحدد
+
+217
+00:19:54,190 --> 00:19:56,930
+موضوع الكرة بعد
+
+218
+00:19:59,440 --> 00:20:06,580
+T من الزمن انا الان رميت الكورة للأعلى مين بتحكم
+
+219
+00:20:06,580 --> 00:20:12,100
+في السرعة ال initial velocity قوة اللى رميتها فيها
+
+220
+00:20:12,100 --> 00:20:16,480
+المفروض ثقة الكورة كذلك اللى تدخل في الموضوع لكن
+
+221
+00:20:16,480 --> 00:20:20,940
+في عند الجاذبية وفي عند الزمن كذلك بده يأثر وجداش
+
+222
+00:20:20,940 --> 00:20:24,340
+المفتر الارتفاع اللى طلقت عن الأرض غير ما طلقت عن
+
+223
+00:20:24,340 --> 00:20:31,190
+ارتفاع متر او مترينAnyway بالمجمل ان هذه معادلة من
+
+224
+00:20:31,190 --> 00:20:33,930
+الدرجة التانية او معادلة تربيعية او quadratic
+
+225
+00:20:33,930 --> 00:20:41,030
+equation طيب لما بيجي بقولي حل المعادلات التربيعية
+
+226
+00:20:41,030 --> 00:20:45,090
+او بيدي حل للمعادلة التربيعية ايش المقصود فيها
+
+227
+00:20:45,090 --> 00:20:49,010
+تمام انه اجيب ال root للمعادلة التربيعية يعني اجيب
+
+228
+00:20:49,010 --> 00:20:55,020
+قيمة X اللي بتخلي المعادلة التربيعية تتساوي صفرحقا
+
+229
+00:20:55,020 --> 00:20:59,340
+في المثال البسيط اللي عندي هناش بساوي X تربيته
+
+230
+00:20:59,340 --> 00:21:04,540
+ساوى 16 كل اللي سويته انا اضافت X تربيته ساوى 16
+
+231
+00:21:04,540 --> 00:21:10,740
+على الطرفين اضافت 16 على الطرفين صارت عند ال X
+
+232
+00:21:10,740 --> 00:21:15,000
+تربيته ساوى 16 الان بدي اخلص من التربيه انا بقيمة
+
+233
+00:21:15,000 --> 00:21:23,460
+X اتجذب التربيه على ال 16وهو تساوي موجب او سالب
+
+234
+00:21:23,460 --> 00:21:28,200
+اربعة الان لا في الا المعادلة الخطية في عندي one
+
+235
+00:21:28,200 --> 00:21:33,400
+root في جذر واحد المعادلة الخطية لكن لما بتكلم على
+
+236
+00:21:33,400 --> 00:21:38,920
+معادلة تربيعية بتكلم على two roots بتكلم على جذرين
+
+237
+00:21:38,920 --> 00:21:47,610
+الان لو أخدت موجب اربعة موجب اربع تربيعية16 16-16
+
+238
+00:21:47,610 --> 00:21:52,950
+صفر سالب أربعة اللي هو الجذر التاني سالب أربعة
+
+239
+00:21:52,950 --> 00:21:59,710
+تربيه 16 16-16 ليش بالسالب يا صاحبي سالب أربعة
+
+240
+00:21:59,710 --> 00:22:05,650
+تربيه هيعني هذا سالب أربعة ضرب سالب أربعة سالب مع
+
+241
+00:22:05,650 --> 00:22:10,830
+السالب موجب أربعة فأربعة ستة عشر طيب نشوف المثال
+
+242
+00:22:10,830 --> 00:22:11,310
+اللي قعده
+
+243
+00:22:15,420 --> 00:22:26,500
+X تربيع ماقص 2 تساوي صفر نفس الكلام لكن في عندى
+
+244
+00:22:26,500 --> 00:22:32,280
+شغل انا ايش اسهل بالحل هاد ايش هروح اقوله انا هاد
+
+245
+00:22:32,280 --> 00:22:41,160
+X تربيع تساوي 2 X تساوي جذر التنينوبالتحديد موجب
+
+246
+00:22:41,160 --> 00:22:45,180
+او سالب جدر اتنين، مصبوط؟ عشان لما اربعها احصل على
+
+247
+00:22:45,180 --> 00:22:48,620
+ال value هاي لكن انا في عندى طريقة تانية اللى احنا
+
+248
+00:22:48,620 --> 00:22:52,940
+فعليا كنت بحلل فيها قيمة المعادلة اللى موجودة عندى
+
+249
+00:22:52,940 --> 00:22:58,200
+هنا هذه المعادلة بتتحلل X زائد جدر اتنين مضموبة في
+
+250
+00:22:58,200 --> 00:23:04,580
+X ناقص جدر اتنين تساوي صفر، ميناته اما هذه تساوي
+
+251
+00:23:04,580 --> 00:23:10,380
+صفرأو هذا تساوي صفر لحظة انا عملت ضرب حللتها هذا
+
+252
+00:23:10,380 --> 00:23:13,240
+بنسميه perfect square مربع كامل هنتكلم عليها كمان
+
+253
+00:23:13,240 --> 00:23:19,900
+لحظات فلما انا حللتها معناه اما الحد الاول بيساوي
+
+254
+00:23:19,900 --> 00:23:25,090
+صفر او الحد التاني بيساوي صفرإذا كان الحد الأول
+
+255
+00:23:25,090 --> 00:23:30,750
+يساوي صفر معناته X زائد جذر التاني تساوي صفر
+
+256
+00:23:30,750 --> 00:23:35,570
+معناته X تساوي سالب جذر اتنين ولو كان الحد التاني
+
+257
+00:23:35,570 --> 00:23:39,610
+هو اللي يساوي صفر معناته X بيبقى تساوي جذر اتنين
+
+258
+00:23:39,610 --> 00:23:46,090
+وعشان ايه دائما بيقول اما او اما بيكون الجذر اربعة
+
+259
+00:23:46,090 --> 00:23:49,250
+او سالب اربعة او الجذر تساوي سالب اتنين لاحظت
+
+260
+00:23:49,250 --> 00:23:55,210
+فرقتين الدون نفسنفس الحل لأن مستحيل لنفس المعادلة
+
+261
+00:23:55,210 --> 00:24:00,630
+ألاقي جدور مختلفة مع كل طريقة حل طيب
+
+262
+00:24:00,630 --> 00:24:06,210
+لما
+
+263
+00:24:06,210 --> 00:24:11,530
+باجي بقول لشباب مربع كامل على المعادلات الجبرية من
+
+264
+00:24:11,530 --> 00:24:15,010
+الدرجة التانية او المعادلات التربيعية لما بتكلم
+
+265
+00:24:15,010 --> 00:24:20,010
+على مصطلح مربع كامل مفهوم المربع الكامل او ال
+
+266
+00:24:20,010 --> 00:24:27,860
+perfect squareانه انا الآن المعادلة تبعتي بقدر
+
+267
+00:24:27,860 --> 00:24:31,940
+اكتبها على صورة a زائد b تساوي او a b a زائد b لكل
+
+268
+00:24:31,940 --> 00:24:38,560
+تربيع بمعنى اخر حلاقي a تربيع زائد فك الجوز هذا
+
+269
+00:24:38,560 --> 00:24:42,160
+الاول في التاني في اتنين اتنين a b زائد مربع
+
+270
+00:24:42,160 --> 00:24:47,920
+التاني مربع الاول زائد مربع التاني زائد مربع الاول
+
+271
+00:24:47,920 --> 00:24:55,980
+زائد الاول في التاني في اتنينA تربيع زائد B تربيع
+
+272
+00:24:55,980 --> 00:25:01,080
+زائد 2AB مربع الأول زاد مربع التاني زاد الأول في
+
+273
+00:25:01,080 --> 00:25:05,900
+التاني في 2 مربع كامل طيب إيش أنا بستفيد من
+
+274
+00:25:05,900 --> 00:25:08,700
+المعادلات اللي بقدر فيها أتكلم فيها على مربع كامل
+
+275
+00:25:08,700 --> 00:25:14,760
+مباشرة ال route هذا بيطلع معايا بشكل سلس في الحالة
+
+276
+00:25:14,760 --> 00:25:19,770
+السابقة أنا ماكانش في عندي term في الوسطأصبت؟ عشان
+
+277
+00:25:19,770 --> 00:25:22,230
+انا أقدر اتكلم عليك و لما اتكلم احنا على معادلة
+
+278
+00:25:22,230 --> 00:25:25,890
+تربيعية المثال اللي احنا شوفناها سابقا X تربيعية
+
+279
+00:25:25,890 --> 00:25:31,690
+نقل 16 تساوي صفر وديبنا ال route مباشرة كانت قيمة
+
+280
+00:25:31,690 --> 00:25:36,550
+ال B او قيمة اللي هان صفر فصارت بس العلاقة بين هان
+
+281
+00:25:36,550 --> 00:25:39,910
+و هان في حالة سوية هذه في عندي مشكلة انا اول حلقة
+
+282
+00:25:39,910 --> 00:25:43,330
+افكر فيها ابدأ انظر هل المعادلة اللي عندي بتمثل
+
+283
+00:25:43,330 --> 00:25:47,330
+مربع كامل ولا لأ كيف بدي اعرف مربع كامل ولا لأ
+
+284
+00:25:49,610 --> 00:25:53,810
+تتطلع الحد الأول و الحد الأخير إذا الاتنين بيمثلوا
+
+285
+00:25:53,810 --> 00:25:58,490
+أرقام مربعة بيدخلوه تتطلع على مين؟ بعد هيك على
+
+286
+00:25:58,490 --> 00:26:02,930
+الرقم اللي في النص تعالى نشوف المربع الأول okay
+
+287
+00:26:02,930 --> 00:26:09,030
+مافيش .. عنا فيه مشكلة X تربيع الحد الأخير 49 هل
+
+288
+00:26:09,030 --> 00:26:12,850
+ال 49 متمثل مربع كانل؟ مربع .. عفوا قيمة مربع
+
+289
+00:26:12,850 --> 00:26:18,520
+عالمي لأس سبعة معناته دي سبعة تربيعممتاز دل عندى
+
+290
+00:26:18,520 --> 00:26:21,320
+الان القيمة اللى فى المشاركة اللى هى الاول الاول
+
+291
+00:26:21,320 --> 00:26:25,740
+فى التانى فى اتنين هاى تمام بدي اشوف هل اتنين فى
+
+292
+00:26:25,740 --> 00:26:29,080
+سبعة فى X ال X هي موجودة دل عندى اتنين فى سبعة
+
+293
+00:26:29,080 --> 00:26:32,840
+القيمة اللى عندى هجد ايش اربع اتناش اتنين فى سبعة
+
+294
+00:26:32,840 --> 00:26:42,740
+معناته ان المعادلة تتساوى X زائد سبعة لكل تربيعx
+
+295
+00:26:42,740 --> 00:26:49,320
+زائد سبعة الكل ترابيع وهذا يبقى ان ال x زائد سبعة
+
+296
+00:26:49,320 --> 00:26:56,280
+equal صفر ولا هاي شرايكو لان انا بدي اجيب ال rule
+
+297
+00:26:56,280 --> 00:27:01,120
+تبعتها x زائد سبعة تساوي صفر لان هي الحقيقة لأ
+
+298
+00:27:01,120 --> 00:27:06,460
+سينا من ال x نقل سبعة الان x زائد سبعة مضروبة في x
+
+299
+00:27:06,460 --> 00:27:11,440
+زائد سبعة هي ال square مظبوط هي تساوي صفر
+
+300
+00:27:14,240 --> 00:27:18,000
+لما بدنا الـ Root لما بدي قيمة X اللي بتخلي
+
+301
+00:27:18,000 --> 00:27:24,420
+المعادة لصفر هي .. هي المعادة هي الـ Square حللته
+
+302
+00:27:24,420 --> 00:27:27,880
+هيك X زيادة سبعة في X زيادة سبعة طب ما هي الأوليات
+
+303
+00:27:27,880 --> 00:27:30,880
+تانية بتتساوي صفر؟ طب هما تنتهي الواحد مع أن أنا
+
+304
+00:27:30,880 --> 00:27:35,600
+في اندي جذر واحد اللي بيخلي القيمة يعيش صفر اللي
+
+305
+00:27:35,600 --> 00:27:44,310
+هي X تساوي سالب سبعة لو أتيت أنا أعوّب تانلو اديت
+
+306
+00:27:44,310 --> 00:27:53,870
+هنا عوضت هنا سالب سبعة تسعة وأربعين طيب اربع اتناش
+
+307
+00:27:53,870 --> 00:27:59,830
+سالب سبعة مصبوط زائد تسعة وأربعين اللي موجود عندي
+
+308
+00:27:59,830 --> 00:28:07,410
+هنا هل القيمة هي فعليا هي سبق صفر طيب
+
+309
+00:28:15,390 --> 00:28:20,890
+طيب الأهم كمان مرة لما أنا بدى أدور على المعادلة
+
+310
+00:28:20,890 --> 00:28:24,890
+الأصل أبدأ أفكر هل هي هذه ال square root مربع كامل
+
+311
+00:28:24,890 --> 00:28:29,890
+تمام أنا بتكلم على طريقة استخلاص القيمة الأسهل
+
+312
+00:28:29,890 --> 00:28:32,990
+طريقة في الآخر أنت مطموض منك تاخد ال equation
+
+313
+00:28:32,990 --> 00:28:38,530
+تتأكد إنها صارت في الآخر تساوي صفر هيك بتكون أنت
+
+314
+00:28:38,530 --> 00:28:44,410
+حصلت على ال root اللي موجودطيب تعالى نشوف ايش ال
+
+315
+00:28:44,410 --> 00:28:49,910
+possible route لمعادلة بالشكل هذه يعني
+
+316
+00:28:49,910 --> 00:28:54,510
+الآن طيب لو انا اجيت قولنا او في عندك شوية مثال
+
+317
+00:28:54,510 --> 00:29:02,210
+القانون العام الأمثلة او الأسائل اللى عندنا اما
+
+318
+00:29:02,210 --> 00:29:07,070
+بتكون مربع كاملمعادلة التربيعية اما بتكون مربع
+
+319
+00:29:07,070 --> 00:29:10,650
+كامل او بيكون قيمتين في بعض زي ما شوفنا X زائد جذر
+
+320
+00:29:10,650 --> 00:29:14,210
+التنين و X ماقص جذر التنين عند التحليل اما بتعتمد
+
+321
+00:29:14,210 --> 00:29:17,330
+معاها التحليل او الطريقة التالتة بتروح علي مين
+
+322
+00:29:17,330 --> 00:29:24,190
+تستخدم القانون العام للمعادلة التربيعية هذه
+
+323
+00:29:24,190 --> 00:29:29,130
+المعادلة التربيعية اللي عندي و لما برجع بذكرك
+
+324
+00:29:29,130 --> 00:29:32,750
+بتكلم على ال route بدي قيمة X اللي بتخلي المعادلة
+
+325
+00:29:32,750 --> 00:29:33,790
+صفر
+
+326
+00:29:36,250 --> 00:29:43,950
+تمام الان سالب B زائد او ناقص عشان عندي two
+
+327
+00:29:43,950 --> 00:29:47,230
+possible routes لكن لاحظ مع الجذر التربيعي او مع
+
+328
+00:29:47,230 --> 00:29:52,370
+المربع الكامل only one route الجذر التربيعي ل B
+
+329
+00:29:52,370 --> 00:30:00,590
+تربيع ناقص 4AC على 2A تمام هذا القانون من ورا اجا
+
+330
+00:30:00,590 --> 00:30:08,540
+وبناء على ايش؟طبعا تعالى نشوف نحاول مع بعض نحلل و
+
+331
+00:30:08,540 --> 00:30:12,140
+نشوف احنا كيف وصلنا للمعادلة هذه فعليا طبعا احنا
+
+332
+00:30:12,140 --> 00:30:15,820
+في الاخر في عندي two words اما minus B زائد الجذب
+
+333
+00:30:15,820 --> 00:30:21,220
+التربيعى ل B تربيعى نقص 4AC على 2A او X تساوي
+
+334
+00:30:21,220 --> 00:30:25,960
+minus B minus الجذب التربيعى minus الجذب التربيعى
+
+335
+00:30:25,960 --> 00:30:30,920
+ل B تربيعى نقص 4AC الكل على 2A تعالى نشوف يا صاحبي
+
+336
+00:30:32,000 --> 00:30:36,080
+المعادلة هذه كيف وصلنا للجذر التربيهي أو للقانون
+
+337
+00:30:36,080 --> 00:30:41,220
+العام كيف وصلنا للقانون العام احاول ركز معايا لان
+
+338
+00:30:41,220 --> 00:30:45,660
+مش هشتغل شغل صعب كل ما هشتغله بكلام اللي احنا
+
+339
+00:30:45,660 --> 00:30:50,280
+بنعرفه بدي احاول دايما اخلي المعادلة متزنة او
+
+340
+00:30:50,280 --> 00:30:55,060
+متساوية تمام انا بدور على قيمة مين يا شباب قيمة X
+
+341
+00:30:55,060 --> 00:31:01,160
+معناته الخطوة رقم واحد ان انا بدي أنجل ال C نجلة C
+
+342
+00:31:03,230 --> 00:31:12,890
+تمام بعد هيك بدي أخلص من قيمة ال A خلصت
+
+343
+00:31:12,890 --> 00:31:20,670
+من قيمة ال A فصار في عندي X تربيع زائد B على A
+
+344
+00:31:20,670 --> 00:31:25,390
+عشان أخلص من قيمة ال A يعني بدي أجسم طرفين
+
+345
+00:31:25,390 --> 00:31:26,190
+المعادلة على
+
+346
+00:31:30,220 --> 00:31:33,220
+ليه لأ، الى الآن، هاي، روح تجسم أطراف المعادلة
+
+347
+00:31:33,220 --> 00:31:40,320
+عندي على الـA تمام؟
+
+348
+00:31:40,320 --> 00:31:44,460
+هذا مقام مشترك لأطرافين، معناته هادي على A، الـA
+
+349
+00:31:44,460 --> 00:31:50,340
+مع الـA، و بتصفر عندي مين؟ A على B تمام، هاي
+
+350
+00:31:50,340 --> 00:32:00,750
+المعادلة A X تربيع زائد BX زائد C equal 0الان اول
+
+351
+00:32:00,750 --> 00:32:04,290
+حاجة ال constant ده ملزمش انا بدي قيمة X صار عندي
+
+352
+00:32:04,290 --> 00:32:13,250
+A X تربيع زائد B X تساوي minus C بظبط الان بدي
+
+353
+00:32:13,250 --> 00:32:16,710
+اخلص من قيمة القلم على ال X هذه جسم الطرفين على ال
+
+354
+00:32:16,710 --> 00:32:26,990
+A بتصفى عندي X تربيع زائد B على A في X يساوي minus
+
+355
+00:32:26,990 --> 00:32:33,960
+C على Aممتاز الآن سيبنى من ال constant هذا تعالى
+
+356
+00:32:33,960 --> 00:32:38,480
+ندورها طيب الآن جابت شوية لما كنت اتكلم على مربع
+
+357
+00:32:38,480 --> 00:32:42,400
+كامل مربع
+
+358
+00:32:42,400 --> 00:32:46,220
+كامل ايش المربع الكامل اللي احنا قولنا A تربيع
+
+359
+00:32:46,220 --> 00:32:52,800
+زائد اتنين A B زائد D تربيع مظبوط تعالى أسقطها على
+
+360
+00:32:52,800 --> 00:32:58,230
+ال X هي اللي انا عندها ليشA تربيع هذه موجودة وهذه
+
+361
+00:32:58,230 --> 00:33:05,770
+بتمثل مين؟ بتمثل مين؟ بتمثل اتنين A في B طيب قيمة
+
+362
+00:33:05,770 --> 00:33:12,130
+ال B تربيع مفروض ليش تكون ال A يا شباب؟ لأ تربيع
+
+363
+00:33:12,130 --> 00:33:19,830
+اول حاجة اتخيل لي هذه اذا كانت هكذا B على A في X
+
+364
+00:33:19,830 --> 00:33:24,130
+بدها تساوي اتنين
+
+365
+00:33:26,710 --> 00:33:30,430
+x في المتغير اللي موجود عندك هذي constant ماتنساش
+
+366
+00:33:30,430 --> 00:33:37,530
+مظبوط مضروبة في اتنين اتنين
+
+367
+00:33:37,530 --> 00:33:42,730
+x y او a b طب هذي a b هي عند ال a هيها انت ال x
+
+368
+00:33:42,730 --> 00:33:48,770
+هذه خلصت منها صفت عند اتنين بي المفروض هذي مظبوط
+
+369
+00:33:48,770 --> 00:33:53,510
+يعني القيمة الآن اللي موجودة اللي راحت لما اتنين
+
+370
+00:33:53,510 --> 00:33:58,000
+راحت معناته ان في عند بي على اتنينأيه؟ أرجع أقولك
+
+371
+00:33:58,000 --> 00:34:04,300
+تاني بي تربيع على اربعة ايه تربيع؟ انا قاعد بقى
+
+372
+00:34:04,300 --> 00:34:11,640
+أقول ان قيمة ال بي هذه تساوي بي على اتنين ايه؟
+
+373
+00:34:11,640 --> 00:34:14,920
+ليش؟
+
+374
+00:34:14,920 --> 00:34:20,160
+عشان لما انا أضرب الأول في التاني في اتنين الاصل
+
+375
+00:34:20,160 --> 00:34:26,710
+سيطلع معايا يمين بي على ايه في X؟خلّيكم معايا تاني
+
+376
+00:34:26,710 --> 00:34:30,970
+هذه المعادلة لأ لأ مش من الأول احنا لها نقطة مافيش
+
+377
+00:34:30,970 --> 00:34:33,910
+عليها خلاف صح؟ انا الآن من المجهول عندي في
+
+378
+00:34:33,910 --> 00:34:37,950
+المعادلة افترض ان هذه المعادلة بدي اضيف لها كمان
+
+379
+00:34:37,950 --> 00:34:43,190
+term وليكن اسمه Z بدي اضيف لها حد بحيث ان يخلي
+
+380
+00:34:43,190 --> 00:34:49,650
+المعادلة مربع كامل بحيث انه هذا ال term اللي في
+
+381
+00:34:49,650 --> 00:34:57,660
+الوسط بيصير يساوي 2فى X فى Z يعني انا هيك بتصير X
+
+382
+00:34:57,660 --> 00:35:08,280
+تربيع زائد BA على X زائد Z انا بدي قيمة Z بحيث انه
+
+383
+00:35:08,280 --> 00:35:13,760
+الـ Z هذه قيمة مربعة بتكون مرفوعة على أُس 2 وهذا
+
+384
+00:35:13,760 --> 00:35:21,460
+اللي فى الوسط بدي يكون يساوي الأول هاي X موجود فى
+
+385
+00:35:21,460 --> 00:35:25,970
+التانيفي اتنين انا الان هذه القيمة المثلثه بتاعي
+
+386
+00:35:25,970 --> 00:35:37,990
+عندي الاول في التاني في اتنين يعني
+
+387
+00:35:37,990 --> 00:35:46,450
+اتنين X في Z تساوي B على A في X ال Z مش قيمتها
+
+388
+00:35:46,450 --> 00:35:56,930
+حرام عليك اتنين B على Aغلط بي على اتنين ايه بصبوط
+
+389
+00:35:56,930 --> 00:36:04,450
+يعني الآن هذا يعني ان الزد تساوي بي على اتنين ايه
+
+390
+00:36:04,450 --> 00:36:07,790
+انا
+
+391
+00:36:07,790 --> 00:36:14,370
+عارف جزاك عشان كنت قولتلك okay صعبة
+
+392
+00:36:14,370 --> 00:36:14,810
+صح
+
+393
+00:36:19,390 --> 00:36:24,410
+هي الفكرة كمان مرة تتذكر روسليش جال؟ جال هي مجموعة
+
+394
+00:36:24,410 --> 00:36:28,810
+من الرموز المنطقية باقى الشغلات كلها بتعتمد على
+
+395
+00:36:28,810 --> 00:36:32,750
+التحليل للشغلات المنطقية هاي كيف بنصلها؟ شباب أنا
+
+396
+00:36:32,750 --> 00:36:36,170
+معنى .. معنى إنك تستوقف و تحاول تشغل دماغك شوية
+
+397
+00:36:36,170 --> 00:36:41,030
+معايا، بدي أعيدها أعملها بأرقام؟ أعملها بأرقام؟ لأ
+
+398
+00:36:41,030 --> 00:36:45,590
+بديش أعملها بأرقام طيب
+
+399
+00:36:48,180 --> 00:36:51,980
+بنعيد تاني شباب احنا بنقول الان كمان مرة المربع
+
+400
+00:36:51,980 --> 00:36:58,600
+الكامل لما بقول في عندي هنا a زائد b لكل تربيع ايش
+
+401
+00:36:58,600 --> 00:37:06,320
+تساوي a تربيع زائد 2 a b اللي هو الأول في التاني
+
+402
+00:37:06,320 --> 00:37:12,360
+في اتنين زائد مربع التاني ممتاز الان الان انا عندي
+
+403
+00:37:12,360 --> 00:37:22,950
+في المعادلة x تربيع زائدP A على X زائد متغير هنا
+
+404
+00:37:22,950 --> 00:37:30,310
+وانا معنى في المتغير هذا يحول المعادلة عندى لمربع
+
+405
+00:37:30,310 --> 00:37:36,370
+كامل وانا معنى ان يحول المعادلة عندى لمربع كامل
+
+406
+00:37:36,370 --> 00:37:40,990
+ايش القيمة اللى هتكون عندى هنا الاصل الاصل اللى
+
+407
+00:37:40,990 --> 00:37:45,350
+اشتغل فيها كالتالي انه انا هذه انا قاعد بتفترض ان
+
+408
+00:37:45,350 --> 00:37:49,330
+القيمة هذه تساوي Zبصبوط؟ هذه المعادلة اللي في
+
+409
+00:37:49,330 --> 00:38:00,730
+الوسط بي على a في x الأصل هذه تساوي 2x زبط بصبوط؟
+
+410
+00:38:00,730 --> 00:38:05,810
+إيش اللي كيف؟ هيها المربع الأول في التاني في اتنين
+
+411
+00:38:05,810 --> 00:38:10,990
+القيمة اللي في الوسط هذه بصبوط؟ يعني هذه هيك
+
+412
+00:38:10,990 --> 00:38:13,950
+تخيلها زي التربيعهذه المعادلة هتصيح زي التربيع
+
+413
+00:38:13,950 --> 00:38:19,670
+الآن عشان في الطبق .. هذه عندي ب على a في x ب على
+
+414
+00:38:19,670 --> 00:38:24,850
+a في x هي في الأصل إيش بتساوي؟ اتنين x الأول في
+
+415
+00:38:24,850 --> 00:38:30,970
+التاني في اتنين ال x هو ساوي على اتنين ايه لأ؟ ال
+
+416
+00:38:30,970 --> 00:38:39,790
+x هذه الحد الأول مطوية؟
+
+417
+00:38:41,630 --> 00:38:45,190
+لسه انا بدي اجيب قيمة الـ z يا صاحبي انا بدي اجيب
+
+418
+00:38:45,190 --> 00:38:48,050
+قيمة الـ z الان الـ z هذه حسب المعادلة هذه ايش
+
+419
+00:38:48,050 --> 00:38:51,110
+تساوي بي على اتنين ايه؟ بي على اتنين ايه؟ بي على
+
+420
+00:38:51,110 --> 00:38:53,590
+اتنين ايه؟ بي على اتنين ايه؟ بي على اتنين ايه؟ بي
+
+421
+00:38:53,590 --> 00:38:59,870
+على اتنين ايه؟ بي على اتنين ايه؟ بي على اتنين ايه؟
+
+422
+00:38:59,870 --> 00:39:03,730
+بي على اتنين ايه؟ بي على اتنين ايه؟ بي على اتنين
+
+423
+00:39:03,730 --> 00:39:05,790
+ايه؟ بي على اتنين ايه؟ بي على اتنين ايه؟ بي على
+
+424
+00:39:05,790 --> 00:39:09,490
+اتنين ايه؟ بي على اتنين ايه؟ بي على ا
+
+425
+00:39:17,770 --> 00:39:25,390
+معناته على الأقل هقول X تربيع زائد B على A في X
+
+426
+00:39:25,390 --> 00:39:34,650
+زائد B تربيع على 4A تربيع اللي بين بصين B على 2A
+
+427
+00:39:34,650 --> 00:39:45,730
+الكل تربيع قيمة الزد تساوي minus C على A زائد نفس
+
+428
+00:39:45,730 --> 00:39:46,230
+القيمة
+
+429
+00:39:55,000 --> 00:40:03,600
+هذه هتصير عندى x تربيع زائد b على a في x زائد b
+
+430
+00:40:03,600 --> 00:40:10,880
+تربيع على أربعة a تربيع بتساوي minus c على a زائد
+
+431
+00:40:10,880 --> 00:40:20,160
+b تربيع على أربعة a تربيع طبعا هذا المفروض أنا
+
+432
+00:40:20,160 --> 00:40:21,400
+مافيش داعي أني أحللها
+
+433
+00:40:25,320 --> 00:40:31,680
+ولا شو رايكو اكس
+
+434
+00:40:31,680 --> 00:40:37,700
+زائد بي على اتنين ايه الكل ترميع يساوي الطرف اللي
+
+435
+00:40:37,700 --> 00:40:43,120
+موجود عندي هان هاي معادشة ساوي فيها واحد المقامات
+
+436
+00:40:43,120 --> 00:40:52,280
+واحد المقامات تساوي اربعة ايه ترميع ليه
+
+437
+00:40:52,280 --> 00:40:57,320
+شمل ايه ترميع بتشمل ال ايهو ايش رايك؟ يعني القالة
+
+438
+00:40:57,320 --> 00:41:04,980
+قلتلك انا اربعة ا تربيع على ايه؟ ايش تساوي؟ اربعة
+
+439
+00:41:04,980 --> 00:41:09,500
+ا معناته
+
+440
+00:41:09,500 --> 00:41:17,940
+هي حسيب في عندي اربعة ا تربيع على ايه؟ سالب اربعة
+
+441
+00:41:17,940 --> 00:41:21,780
+ا سي زائد
+
+442
+00:41:24,470 --> 00:41:31,470
+B تربيع لأن أربعة A تربيع على أربعة A تربيع واحد
+
+443
+00:41:31,470 --> 00:41:36,150
+أهلا تاني
+
+444
+00:41:36,150 --> 00:41:40,030
+تاني توحيد مقامات يا صاحبي مش مشكلة لما أنا باجي
+
+445
+00:41:40,030 --> 00:41:47,810
+بقول A على B زائد C على D أسبوع
+
+446
+00:41:50,490 --> 00:41:55,510
+نضبهم مع بعض عشان يصير هذا مضاعف للتانين بظبط؟ بي
+
+447
+00:41:55,510 --> 00:42:06,590
+بي ناخد بي بي على بي بي بي بي بي بي بي بي بي بي بي
+
+448
+00:42:06,590 --> 00:42:08,450
+بي بي بي بي بي بي بي بي بي بي بي بي بي بي بي بي بي
+
+449
+00:42:08,450 --> 00:42:09,050
+بي بي بي بي بي بي بي بي بي بي بي بي بي بي بي بي بي
+
+450
+00:42:09,050 --> 00:42:18,670
+بي بي بي بي بي بي بي بي بي بي بي بي
+
+451
+00:42:18,670 --> 00:42:28,260
+بي بعلى B زائد C على اتنين B تربيع بدي اخد مضاعف
+
+452
+00:42:28,260 --> 00:42:35,740
+للتنين مضاعف للتنين هو هذا اتنين B تربيع اتنين B
+
+453
+00:42:35,740 --> 00:42:46,240
+تربيع على B اتنين B اتنين B ضرب A اتنين ABزائد 2D
+
+454
+00:42:46,240 --> 00:42:55,740
+تربيع على 2D تربيع 1 في C C هادي
+
+455
+00:42:55,740 --> 00:43:04,600
+حاضر الآن
+
+456
+00:43:04,600 --> 00:43:07,940
+يا شباب احاولوا تركز معايا ان في شغلات كتير شكل
+
+457
+00:43:07,940 --> 00:43:16,440
+كنا سينها انتوا بنقول Aعلى B زائد C على 2 على سبيل
+
+458
+00:43:16,440 --> 00:43:20,000
+المثال ممكن 3 أي قيمة بدك إياها وهنا كمان تستخدم
+
+459
+00:43:20,000 --> 00:43:24,040
+أي قص بدك إياها مافيش مشكلة في الموضوع الأصل لما
+
+460
+00:43:24,040 --> 00:43:30,540
+أنا بجمع كثرين أوحد المقامات اللي بتكلمه الأصل
+
+461
+00:43:30,540 --> 00:43:37,560
+أوحد المقامات تساريعادةً يا شباب نضرب المقامين في
+
+462
+00:43:37,560 --> 00:43:41,820
+بعض عشان نحصل على مضاعف مشترك للتانين بس لو أنا
+
+463
+00:43:41,820 --> 00:43:47,400
+طلعت فالمضاعف اللي عندي هنا الأول هو already موجود
+
+464
+00:43:47,400 --> 00:43:52,580
+يعني هذا 2B تربية هو عبارة عن مضاعف لل B وبالتالي
+
+465
+00:43:52,580 --> 00:43:55,340
+ينفع أستخدمه هو ولو استخدمت الطريقة اللي احنا
+
+466
+00:43:55,340 --> 00:43:58,380
+بنقولها دائما اضرب التانين في بعض هتحصل على نفس
+
+467
+00:43:58,380 --> 00:44:02,560
+النتيجة هتختصر B وتاخد عام مشترك فوق B وبعدين
+
+468
+00:44:02,560 --> 00:44:08,540
+تختصرهاالان بنقول فاحنا بنختصر الموضوع وبناخد 2B
+
+469
+00:44:08,540 --> 00:44:13,700
+تربيع اللي احنا بنسميها المضاعف المشترك الأصغر
+
+470
+00:44:13,700 --> 00:44:22,240
+المضاعف المشترك الأصغر طبعا 2B تربيع على B 2B يعني
+
+471
+00:44:22,240 --> 00:44:25,320
+ال B بتروح مع التربيع بتصير في عندي 2 وضربها في
+
+472
+00:44:25,320 --> 00:44:31,640
+ايه؟ 2ABزائد لان مش هو زائد اتنين بي تربيع على
+
+473
+00:44:31,640 --> 00:44:39,500
+اتنين بي تربيع واحد في C C هيا طيب
+
+474
+00:44:39,500 --> 00:44:46,840
+نرجع لمسائتنا وحدنا المقامات الآن وصرت في عندي انا
+
+475
+00:44:46,840 --> 00:44:56,560
+X زائد بي على اتنين A لكل تربيع هي المعادلة مظبوط
+
+476
+00:44:56,560 --> 00:44:57,140
+يا شباب؟
+
+477
+00:44:59,800 --> 00:45:06,840
+صح؟ تمام الان بدي اقول انا X طبعا حضر ان صح ماهمش
+
+478
+00:45:06,840 --> 00:45:18,060
+الان X زائد B على 2A تساوي الجذر التربيعي او عفوا
+
+479
+00:45:18,060 --> 00:45:25,440
+موجة او سالب الجذر التربيعي لـ-4AC زائد B تربيع
+
+480
+00:45:25,440 --> 00:45:26,100
+على
+
+481
+00:45:30,240 --> 00:45:37,280
+أربعة ايه تربيه نعم
+
+482
+00:45:37,280 --> 00:45:46,100
+اه مطلوب .. مطلوب .. مطلوب في المدرسة .. في
+
+483
+00:45:46,100 --> 00:45:48,760
+المدرسة غير احنا في الجامعة الان اعتبره مطلوب منك
+
+484
+00:45:48,760 --> 00:45:53,820
+مش مشكلة مطلوب الان في عندنا بقى ممكن نخلص من
+
+485
+00:45:53,820 --> 00:45:59,580
+الجذر يا شبابهذه تمثل 2A لكل تربية وبما ان هي تحت
+
+486
+00:45:59,580 --> 00:46:08,140
+الجذر معناه انها تتساوي موجب او زائد B تربية لان
+
+487
+00:46:08,140 --> 00:46:16,740
+عملية الجامعة عملية ادالية B تربية ناقص 4AC على 2A
+
+488
+00:46:16,740 --> 00:46:24,680
+وهنا في الطرف التاني X زائد B على 2A الآن
+
+489
+00:46:24,680 --> 00:46:32,750
+قم بالاكس مافيش حد يروح يا صاحبي ماينوس
+
+490
+00:46:32,750 --> 00:46:41,950
+بي على اتنين اي زائد الجدر التربيعي لبيه تربيع
+
+491
+00:46:41,950 --> 00:46:47,850
+ناقص اربعة اي سي على اتنين اي صار في عندي كسرين
+
+492
+00:46:47,850 --> 00:46:53,510
+بدي اجمعهم مع بعض نقلهم نفس المقاربتساوي سالب B
+
+493
+00:46:53,510 --> 00:47:01,550
+زائب الماقص الجدر التربيعي ل B تربيع ماقص 4AC على
+
+494
+00:47:01,550 --> 00:47:10,090
+2A وهذا قانون الجدر العام للوصول للروت للمعادلة
+
+495
+00:47:10,090 --> 00:47:16,210
+تشوف انا الآن مابنتكلمش في المعادلة او في الاشتقاق
+
+496
+00:47:16,210 --> 00:47:22,870
+من باب الطرفأنا معنى .. معنى أنه تصل لقناعها أن كل
+
+497
+00:47:22,870 --> 00:47:26,370
+العمليات اللي صارت هذه عمليات بسيطة بس بدها شوية
+
+498
+00:47:26,370 --> 00:47:30,640
+تركيز حتماوما تقولنيش انك عاجز عنها لما .. بقى مرة
+
+499
+00:47:30,640 --> 00:47:33,200
+بسيطة و قبصة .. يعني مافيش عندك مشكلة انك تنجوا
+
+500
+00:47:33,200 --> 00:47:35,940
+واحد على طرف اليانين و طرف الشمال و لما تخلص من
+
+501
+00:47:35,940 --> 00:47:39,700
+الجذر عشان تخلص من التربية بدك تاخد جذر .. هذه كل
+
+502
+00:47:39,700 --> 00:47:44,360
+المعلومات عندي و عندك و عند غيرنا كمان لكن تبقى
+
+503
+00:47:44,360 --> 00:47:46,720
+دائما لو انا في عند رهب من الرياضيات و بخاف منها
+
+504
+00:47:46,720 --> 00:47:49,900
+.. لا يا صاحبي مابدناش نخاف من الرياضيات الموضوع
+
+505
+00:47:49,900 --> 00:47:53,580
+هذا سهل .. الآن انا حاططلكي عليه slide جاهز من ضمن
+
+506
+00:47:53,580 --> 00:47:59,910
+ال ..و مطموعة كل خطوة ايش بنسوي فيها تمام؟ ماعليك
+
+507
+00:47:59,910 --> 00:48:06,210
+الا تجرب لحالك بديك تجرب لوحدك لما تروح على البيت
+
+508
+00:48:06,210 --> 00:48:10,890
+تمام؟ تاخد ورق و جلم و تكتب المعادلة التربيعية و
+
+509
+00:48:10,890 --> 00:48:13,830
+تحاول تشوف انت لو اين بتغلط عند النقطة اللي بتجف
+
+510
+00:48:13,830 --> 00:48:17,830
+فيها ارجع لل slide بس شوف مفتاح الحل و انساها
+
+511
+00:48:17,830 --> 00:48:18,250
+مفتاح الحل و انساها مفتاح الحل و انساها مفتاح الحل
+
+512
+00:48:18,250 --> 00:48:18,630
+و انساها مفتاح الحل و انساها مفتاح الحل و انساها
+
+513
+00:48:18,630 --> 00:48:18,790
+مفتاح الحل و انساها مفتاح الحل و انساها مفتاح الحل
+
+514
+00:48:18,790 --> 00:48:22,010
+و انساها مفتاح الحل و انسابديش ياك تبصم بديك تبدأ
+
+515
+00:48:22,010 --> 00:48:25,670
+تشغّل دماغك لأنه احنا معنيين كمان مرة انه بالتفكير
+
+516
+00:48:25,670 --> 00:48:28,970
+مش .. مش الحاجة لبصيمة يا جماعة الخير انا بقولك
+
+517
+00:48:28,970 --> 00:48:32,170
+البصيمة عندى بديه بخمسين فمية بس يعني أنا عاصف في
+
+518
+00:48:32,170 --> 00:48:36,410
+المادة ليش؟
+
+519
+00:48:36,410 --> 00:48:39,730
+لأن انا معنى .. انا معنى الدماغ اللى يشتغل تعالى
+
+520
+00:48:39,730 --> 00:48:45,940
+نشوف مفهوم الـRoots هيه هي معاجلةهي معادلة مرسومة
+
+521
+00:48:45,940 --> 00:48:51,920
+ايش يعني الجذر؟ هي قيمة X اللي بتخلي المعادلة صفر
+
+522
+00:48:51,920 --> 00:48:58,560
+اللي بتخلي ال Y صفر اما عن سالب اتنين او موجب واحد
+
+523
+00:48:58,560 --> 00:49:06,560
+هاي معادلة تانية معادلة تربيعية لكنها مالهاش real
+
+524
+00:49:06,560 --> 00:49:11,420
+root مالهاش جذر حقيقي الجذر الحقيقي لازم يعمل تقاط
+
+525
+00:49:11,420 --> 00:49:17,660
+ومعالـ X-Axis الجذر الحقيقي لازم يعمل تقاطم مع
+
+526
+00:49:17,660 --> 00:49:22,420
+محور السينات الـ X-Axis لكن المعادلة هي يا شباب
+
+527
+00:49:22,420 --> 00:49:27,320
+مالهاش جذر حقيقي الجذر تبعها تخيلي أو بمبوسين لو
+
+528
+00:49:27,320 --> 00:49:30,300
+أجيت أطبق عليها القانون العام حيطلع عندي ثاني
+
+529
+00:49:30,300 --> 00:49:35,080
+بواحد تحت الجذرأو هتطلع عندك قيمة سالبة تحت الجدر
+
+530
+00:49:35,080 --> 00:49:38,300
+والقيمة السالبة عشان نقول عنها احنا قيمة خيّلية
+
+531
+00:49:38,300 --> 00:49:42,140
+وبالتالي فيها جدر غير حقيقي تعالى نطبق عليها
+
+532
+00:49:42,140 --> 00:49:45,620
+القانون العام ونشوف ايش بتطلع معانا تتذكر القانون
+
+533
+00:49:45,620 --> 00:49:54,420
+العام A X زائد B X تربيه زائد B X زائد C تمام الآن
+
+534
+00:49:54,420 --> 00:50:00,380
+عند ال A تساويوالـ B تساوي واحد والـ C تساوي واحد
+
+535
+00:50:00,380 --> 00:50:04,940
+بصبح حسب القانون العام X تساوي minus B minus واحد
+
+536
+00:50:04,940 --> 00:50:14,620
+زائد او ناقص مابنفعش ابقى لواجب فيك دري بالك زائد
+
+537
+00:50:14,620 --> 00:50:21,180
+او ناقص الجدر التربيعى لديه تربيع واحد ناقص اربعة
+
+538
+00:50:21,180 --> 00:50:32,410
+A في C في واحد في واحدمصبوط على اتنين في واحد
+
+539
+00:50:32,410 --> 00:50:39,950
+وتساوي واحد ناقص الجدر التربيعي زي او زي ناقص
+
+540
+00:50:39,950 --> 00:50:48,570
+الجدر التربيعي ناقص تلاتة على اتنين ناقص تلاتة في
+
+541
+00:50:48,570 --> 00:50:53,090
+الجدر يعني القيمة اللي عندي ايش قيمة تخيلية قيمة
+
+542
+00:50:53,090 --> 00:50:57,950
+تخيليةوبالتالي هذه قيمة الجذر اللى موجودة عندى هان
+
+543
+00:50:57,950 --> 00:51:04,110
+تعالى نشوف حله
+
+544
+00:51:04,110 --> 00:51:15,410
+بنفس القضية هى بدى أحلى أمثلة تانية انا هى 7x
+
+545
+00:51:15,410 --> 00:51:18,950
+تربيع زي 8x نقص 11
+
+546
+00:51:22,120 --> 00:51:25,960
+الجذر التربيعي الآن بالقانون العام ال بي تمانية
+
+547
+00:51:25,960 --> 00:51:31,520
+ماقص تمانية زائد او ماقص الجذر التربيعي ل بي اربعة
+
+548
+00:51:31,520 --> 00:51:39,300
+و ستين مظبوط ماقص اربعة ا في c اربعة في سبعة
+
+549
+00:51:39,300 --> 00:51:46,640
+تمانية و عشرين في سالب احداشر يعني اربعة و عشرين
+
+550
+00:51:46,640 --> 00:51:47,340
+في احداشر
+
+551
+00:51:49,920 --> 00:51:54,940
+تمنية و عشرين عشرة
+
+552
+00:51:54,940 --> 00:52:04,720
+تلاتمية و تمانية ناقص تلاتمية و تمانية سالف على
+
+553
+00:52:04,720 --> 00:52:07,600
+اتنين في اتنين في اتنين في اتنين في اتنين في اتنين
+
+554
+00:52:07,600 --> 00:52:08,180
+في اتنين في اتنين في اتنين في اتنين في اتنين في
+
+555
+00:52:08,180 --> 00:52:08,380
+اتنين في اتنين في اتنين في اتنين في اتنين في اتنين
+
+556
+00:52:08,380 --> 00:52:09,020
+في اتنين في اتنين في اتنين في اتنين في اتنين في
+
+557
+00:52:09,020 --> 00:52:09,640
+اتنين في اتنين في اتنين في اتنين في اتنين في اتنين
+
+558
+00:52:09,640 --> 00:52:14,460
+اتنين في اتنين في اتنين في اتنين في اتنهك الأرقام
+
+559
+00:52:14,460 --> 00:52:19,440
+أصبحت جاهزة عندك ساوي ناقص تمانية زائد او ناقص
+
+560
+00:52:19,440 --> 00:52:27,380
+الجدر الترديعي عندك تلاتمية و تمانية جداش تلاتمية
+
+561
+00:52:27,380 --> 00:52:32,960
+و اتنين و سبعين على اربع اتناش جداش جدر التلاتمية
+
+562
+00:52:32,960 --> 00:52:40,020
+اتنين و سبعين يا شباب في حد معاه calculatorممنوع
+
+563
+00:52:40,020 --> 00:52:43,020
+استخدامها كتبتلي هيك القانون هيقولك عالمة كاملة
+
+564
+00:52:43,020 --> 00:52:47,600
+بالمناسبة انا
+
+565
+00:52:47,600 --> 00:52:52,740
+بدي اجيب قيمة ال X هيها انا بدي اجيب قيمة ال X
+
+566
+00:52:52,740 --> 00:52:58,000
+بناء على القانون العام لأ
+
+567
+00:52:58,000 --> 00:53:04,020
+في شغل في حسبة غلط هان الشباب 308
+
+568
+00:53:04,020 --> 00:53:06,120
+و 4 عندك 64 عندك 2
+
+569
+00:53:09,460 --> 00:53:14,080
+كيف تلت مية اتنين و سبعين تلت مية اتنين و سبعين
+
+570
+00:53:14,080 --> 00:53:14,700
+تلت مية اتنين و سبعين تلت مية اتنين و سبعين تلت
+
+571
+00:53:14,700 --> 00:53:17,340
+مية اتنين و سبعين تلت مية اتنين و سبعين تلت مية
+
+572
+00:53:17,340 --> 00:53:21,180
+اتنين و سبعين تلت مية اتنين و سبعين تلت مية اتنين
+
+573
+00:53:21,180 --> 00:53:24,540
+و سبعين تلت مية اتنين و سبعين تلت مية اتنين و
+
+574
+00:53:24,540 --> 00:53:29,540
+سبعين تلت مية اتنين و سبعين تلت مية اتنين و سبعين
+
+575
+00:53:29,540 --> 00:53:33,300
+تلت مية اتنين و سبعين تلت مية اتنين و سبعين تلت
+
+576
+00:53:33,300 --> 00:53:41,010
+مية اتنين و سبخلاص 19 .. مش قضية يا شباب كمان مرة
+
+577
+00:53:41,010 --> 00:53:47,770
+يعني ناقص 8 زائد 19.2 على 14 هذا الجدر الأول حسب
+
+578
+00:53:47,770 --> 00:53:52,710
+الحسبة اللي بتقولها جاعدين بعدين ناقص 8 ناقصت 19.2
+
+579
+00:53:52,710 --> 00:53:56,650
+على 14 وهذا الجدر التاني تعالى نشوف .. انا بتذكر
+
+580
+00:53:56,650 --> 00:54:00,750
+حلته بعيدة و بستيلة ميلاد قضام غير هيك تعالى نشوف
+
+581
+00:54:00,750 --> 00:54:05,150
+المعادلة التانية المعادلة
+
+582
+00:54:05,150 --> 00:54:06,810
+التانية A1
+
+583
+00:54:08,810 --> 00:54:16,890
+والـ B 7 والـ C 12 تمام نفس الكلام X تساوي ناقص 7
+
+584
+00:54:16,890 --> 00:54:22,850
+زائد أو ناقص الجذر التربيعي لتسعة وأربعين ناقص
+
+585
+00:54:22,850 --> 00:54:36,430
+أربع A C أربع في اتناش تمانية وأربعين على
+
+586
+00:54:36,430 --> 00:54:44,880
+اتنين Aاتنين ايه؟ اتنين في واحد تساوي ناقص سبعة
+
+587
+00:54:44,880 --> 00:54:48,300
+زائد او ناقص الجدر التربيه تسعة واربعين وناقص
+
+588
+00:54:48,300 --> 00:54:57,160
+تمانية واربعين واحد على اتنين تساوي سبعة ناقص سبعة
+
+589
+00:54:57,160 --> 00:55:03,910
+زائد او ناقص الواحد على اتنينومعناته X اما بدها
+
+590
+00:55:03,910 --> 00:55:09,510
+تساوي سالب سبعة زائد واحد سالب ستة على اتنين سالب
+
+591
+00:55:09,510 --> 00:55:14,610
+تلاتة او ال X بدها تساوي سالب سبعة و سالب واحد
+
+592
+00:55:14,610 --> 00:55:19,450
+سالب تمانية على اتنين سالب اربعة وهي ال two roots
+
+593
+00:55:19,450 --> 00:55:24,350
+اللي طلعوا عندها طيب هذه المعادلة ممكن انا احلها
+
+594
+00:55:24,350 --> 00:55:32,070
+بطريقة تانية اسهل بالتحليل حلل الجثيمكيف تحليل
+
+595
+00:55:32,070 --> 00:55:36,510
+الجثين؟ مش صعب يا شباب عشان تعرف ان المعادلة تتحلل
+
+596
+00:55:36,510 --> 00:55:45,290
+ولا لأ مباشرة شوف مضاعفة او عفوا القيم او بلاش حلل
+
+597
+00:55:45,290 --> 00:55:49,850
+قيمة الاطنعش الاطنعش عبارة عن ايش؟ اطنعش واحد
+
+598
+00:55:49,850 --> 00:55:56,290
+بناشيهاستة في اتنين بتديش إياها تلاتة في أربعة
+
+599
+00:55:56,290 --> 00:56:01,090
+سبعة اللي هي مجموعة في القمتينها معناته أنا بقدر
+
+600
+00:56:01,090 --> 00:56:09,090
+أقول X زائد تلاتة و X زائد أربعة يساوي صفر معناته
+
+601
+00:56:09,090 --> 00:56:13,330
+X أما بتساوي سالب ثلاثة أو X بتساوي سالب بأي طريقة
+
+602
+00:56:13,330 --> 00:56:17,650
+أنت تحل بطرقك تحل حل بس أنا معنى أنك تبدأ إشغاليا
+
+603
+00:56:17,650 --> 00:56:23,940
+تفكر حتى بالتحقيق الأمر مصعب أعيد تانيطيب الان في
+
+604
+00:56:23,940 --> 00:56:34,100
+التالية بقدر احلل دائما شوف عوامل ال 12 اتجسم علي
+
+605
+00:56:34,100 --> 00:56:35,320
+2 بتخلص منها
+
+606
+00:56:40,870 --> 00:56:45,290
+زائد ستة ستة في واحد ستة في واحد الآن هي العناق
+
+607
+00:56:45,290 --> 00:56:48,790
+الصحيحة دي ممكن تظبط في ستة في واحد يعني X زائد
+
+608
+00:56:48,790 --> 00:56:56,090
+ستة في X زائد واحد ممكن لو كانت خمسة يا شباب او
+
+609
+00:56:56,090 --> 00:57:00,050
+سالب خمسة او سالب سبعة مابتصير افكر بقيم تانية
+
+610
+00:57:00,050 --> 00:57:05,300
+بالمبعث بمعاملات الستةتمام؟ خلينا نبدأ عند
+
+611
+00:57:05,300 --> 00:57:08,380
+المعاملات من المحاضرة الجاية في الأمثلة هذه وبنبدأ
+
+612
+00:57:08,380 --> 00:57:10,460
+التحليق ان شاء الله من المرحلة الجاية نعطيكوا
+
+613
+00:57:10,460 --> 00:57:10,780
+العافية
+
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/wqqj1UvME74_postprocess.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/wqqj1UvME74_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..ab83d51d770c48384e634cffe1cdb9cfbacad87d
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/wqqj1UvME74_postprocess.srt
@@ -0,0 +1,2737 @@
+1
+00:00:21,010 --> 00:00:23,210
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:23,210 --> 00:00:26,130
+اليوم ان شاء الله شباب هنكمل في chapter ال
+
+3
+00:00:26,130 --> 00:00:31,430
+transforms وكنا وقفنا او بدنا .. لما بدنا نتكلم عن
+
+4
+00:00:31,430 --> 00:00:38,430
+ال transforms يقولوا هنا في عندي translation ازاحة
+
+5
+00:00:38,430 --> 00:00:44,670
+وفي عندي scaling تحجيم او تغيير المساحة وفي عندي
+
+6
+00:00:44,670 --> 00:00:49,810
+rotation او reflection reflection reflection
+
+7
+00:00:59,930 --> 00:01:04,770
+الان انا مازلت ماتتكلم بالـ 2D Transforms وهذا
+
+8
+00:01:04,770 --> 00:01:07,030
+يعني ان لازم يكون في عندي انا المعادلة الرياضية
+
+9
+00:01:07,030 --> 00:01:10,470
+الجديدة تبع الكواردينية الجديدة تبعت النقطة اللى
+
+10
+00:01:10,470 --> 00:01:19,680
+بتمثل البوليغم Ax زائد Byأيوة ماشي الحال و ال CX
+
+11
+00:01:19,680 --> 00:01:27,960
+زائد DY و هنا زائد E و زائد F و لما اتينا لاتكلم
+
+12
+00:01:27,960 --> 00:01:32,960
+على ان ال transforms ممكن انا امثلها بالمصفوفات
+
+13
+00:01:32,960 --> 00:01:36,740
+نظرنا المصفوف على انه انا ممكن اتكلم على مصفوف
+
+14
+00:01:36,740 --> 00:01:41,060
+بعيدا عن ال translation صرت انا بتكلم على مصفوفة
+
+15
+00:01:41,060 --> 00:01:50,350
+2x2 A BCD لما بدي بضربها في X و في Y بحصل على ال
+
+16
+00:01:50,350 --> 00:01:55,390
+point الجديدة او ال coordinates الجديدة والعناصر
+
+17
+00:01:55,390 --> 00:02:01,290
+اللي موجودة عندها وقدرنا نتكلم على او اتكلمنا
+
+18
+00:02:01,290 --> 00:02:04,270
+بعدها على ال homogeneous point قلت ال homogeneous
+
+19
+00:02:04,270 --> 00:02:14,380
+point هي عبارة عن نقطة XT Y في Tو T بحيث ان X و Y
+
+20
+00:02:14,380 --> 00:02:20,200
+و 1 هذي homogenous point لنقطة X و Y بحيث ان لو
+
+21
+00:02:20,200 --> 00:02:25,780
+اخدت انا XT جسمت على T بتديني X YT جسمت على T
+
+22
+00:02:25,780 --> 00:02:29,980
+بتديني Y و T على T بتديني 1 و هيك اقدرت اوصل
+
+23
+00:02:29,980 --> 00:02:34,590
+مصففات تبعتي بحيث ان اتصيرتلاتة فى تلاتة بحيث ان
+
+24
+00:02:34,590 --> 00:02:38,610
+اضيف او ادخل ل Transformation او ل Translation فى
+
+25
+00:02:38,610 --> 00:02:43,510
+داخل المعادلة اللى موجودة عندى وصار فى النهاية اخر
+
+26
+00:02:43,510 --> 00:02:49,550
+شغل عنا صار شكل المعادلة هذه المعادلة في موضوع ال
+
+27
+00:02:49,550 --> 00:02:53,980
+Translation تلاتة فى تلاتة المصفوفة تبعتيTx وTy
+
+28
+00:02:53,980 --> 00:02:58,420
+مقدار الإزاحة لما كنت بتكلم على scaling و لما كنت
+
+29
+00:02:58,420 --> 00:03:02,260
+بتكلم على ال reflection كنت بضرب في سالب واحد لكن
+
+30
+00:03:02,260 --> 00:03:07,130
+كل الكلام كان أنا لما بد أعملtranslation بعمل الـ
+
+31
+00:03:07,130 --> 00:03:09,270
+translation من نقطة الأصل يعني الإزاح دائما من
+
+32
+00:03:09,270 --> 00:03:13,010
+نقطة قياسة بيبدأ من نقطة الأصل لو أنا بدي أعمل
+
+33
+00:03:13,010 --> 00:03:15,090
+reflection كنت بعمل reflection على المحاول
+
+34
+00:03:15,090 --> 00:03:20,670
+الأساسية X أو Y وبالتالي الآن ال scaling كذلك تبعد
+
+35
+00:03:20,670 --> 00:03:24,970
+لنقطة الأصل لكن الآن بدي أبدأ أفكر أن لو أنا بدي
+
+36
+00:03:24,970 --> 00:03:25,450
+أعمل
+
+37
+00:03:28,240 --> 00:03:32,220
+Scaling تبقى لنقطة
+
+38
+00:03:32,220 --> 00:03:36,020
+معينة على سبيل المثال احنا شوفنا المرة الماضية لما
+
+39
+00:03:36,020 --> 00:03:42,660
+حاولنا نعمل scaling كان في عندي المربع هذا و لما
+
+40
+00:03:42,660 --> 00:03:51,380
+روحت ضربت 2 في 2 لو ضربنا x' بيه تساوي 2x و y' بيه
+
+41
+00:03:51,380 --> 00:03:57,130
+تساوي 2yالان هذا بدى يصير مش ضعف فهو يعني عالى
+
+42
+00:03:57,130 --> 00:04:02,350
+اربع اضعاف لان انت كل قطر او كل دلع بتزيده ضعف و
+
+43
+00:04:02,350 --> 00:04:07,570
+مساحة المستطلع في مساحة المربع الدلع في نفسه مصبوط
+
+44
+00:04:07,570 --> 00:04:10,570
+وبالتالي انا قاعد بقوله X يعني هذا من ال point
+
+45
+00:04:10,570 --> 00:04:16,730
+واحد و واحد بدها تصير اتنين و اتنين هى البداية هذه
+
+46
+00:04:16,730 --> 00:04:24,040
+اتنين واحد اتنين تلاتة و واحدبينها تصير ستة و
+
+47
+00:04:24,040 --> 00:04:30,400
+اتنين واحد اتنين تلاتة اربعة خمسة ستة وهي اتنين ها
+
+48
+00:04:30,400 --> 00:04:37,260
+نفس الكلام واحد اتنين تلاتة اربعة لأ
+
+49
+00:04:37,260 --> 00:04:44,260
+عفوا تحت النقطة وهذا
+
+50
+00:04:44,260 --> 00:04:47,660
+الشكل واحد انه بس انا هعمل scaling اللي غير انه
+
+51
+00:04:47,660 --> 00:04:53,490
+الشكلانزاح كمان من مكانه لان النقطة هذه مش مثبتة
+
+52
+00:04:53,490 --> 00:04:56,510
+على نقطة الأصل لو كانت النقطة هذه تبعت صفر و صفر
+
+53
+00:04:56,510 --> 00:05:03,130
+او هذا الشكل stick واحد من ال axis X و Y هتلاقيه
+
+54
+00:05:03,130 --> 00:05:08,310
+ثابت في مكانه لكن اتحرك هذا يخلني افكر ان هل فعليا
+
+55
+00:05:08,310 --> 00:05:12,150
+انا بقدر اتحكم بالشكل بحيث ان لما انا بدي اعمله
+
+56
+00:05:12,150 --> 00:05:15,890
+scaling اقول ال scale تبعتي تبع نقطة الأصل بمعنى
+
+57
+00:05:15,890 --> 00:05:20,480
+اخر انه مانعملوش إزاحةلو انا بدي اعمله reflection
+
+58
+00:05:20,480 --> 00:05:25,440
+بدي اعمله لل X axis او لل Y axis او اي arbitrary
+
+59
+00:05:25,440 --> 00:05:30,100
+axis انا بقولك هي الشكل بدي اعمله reflection على
+
+60
+00:05:30,100 --> 00:05:34,320
+القطة وهذا مش بدي افرضه صفر بدي احدد موضع ال
+
+61
+00:05:34,320 --> 00:05:37,580
+reflection او الموضع المقطة اللي انا بدي اشتغل تبع
+
+62
+00:05:37,580 --> 00:05:41,740
+الليلها الفكرة بسيطة جدا في المعادلة الرياضية
+
+63
+00:05:41,740 --> 00:05:46,060
+تبعتي بس هدخل المعادلة اللي حاجة إليها احنا بيجي
+
+64
+00:05:46,060 --> 00:05:52,070
+بشكل عامبقول لو كان الـ scaling تبعتنا relative لل
+
+65
+00:05:52,070 --> 00:05:56,130
+origin نقطة الاصل الشكل ال position تبع الشكل مش
+
+66
+00:05:56,130 --> 00:05:59,630
+هيتغير النقطة صفر و صفر حتى زي ما هي لأ انا اتخيل
+
+67
+00:05:59,630 --> 00:06:07,890
+الشكل تبع توهان على نفس المعادلة صفر و صفرx²²x صفر
+
+68
+00:06:07,890 --> 00:06:14,970
+و y²²y برضه صفر وبالتالي بلّ الشكل مربوط عندين على
+
+69
+00:06:14,970 --> 00:06:19,690
+نقطة الأصل ماتحركش ماعلي scaling الآن لو كان في
+
+70
+00:06:19,690 --> 00:06:22,270
+واحد و واحد زي ما شوفنا واحد واحد هتصير اتنين و
+
+71
+00:06:22,270 --> 00:06:26,810
+اتنين يعني بينجو سين أنا قاعد بعمله scaling لكن
+
+72
+00:06:26,810 --> 00:06:31,710
+الشكل اللي عمله إزاحة نصب عني وبالتالي قد في ال
+
+73
+00:06:31,710 --> 00:06:34,810
+animation أو في ال design غلطانت بتعمل scaling
+
+74
+00:06:34,810 --> 00:06:38,630
+العصر الضخم او تكبر حجمه في نفس المكان اللي هو فيه
+
+75
+00:06:38,630 --> 00:06:43,110
+بدون ماتقاش ماتحرك ال position تبعته فبنيجي الآن
+
+76
+00:06:43,110 --> 00:06:48,510
+لو انا بدي اثبته تبع لنقبة اهم حاجة في الموضوع
+
+77
+00:06:48,510 --> 00:06:54,570
+اعرف ايش هي النقبة اللي انا بدي اشتغل عليها بشكل
+
+78
+00:06:54,570 --> 00:06:59,760
+اهم النقبة الجديدة هتكون عندي Bx Dyوالـ Polygon
+
+79
+00:06:59,760 --> 00:07:02,320
+اللي انا بأشتغل عليه هو عبارة عن مجموعة من النقطة
+
+80
+00:07:02,320 --> 00:07:07,120
+الـ X و Y بصبوط؟ بدي أسوي ثلاث خطوات عشان تتغير بس
+
+81
+00:07:07,120 --> 00:07:10,100
+شكل المعادلة اللي عندي هتلاقي حلقة اللي بتحفظ
+
+82
+00:07:10,100 --> 00:07:15,420
+المعادلة بكل بساطة الآن خطوة رقم واحد اطرح النقطة
+
+83
+00:07:15,420 --> 00:07:23,360
+BX BY من النقطة XY ايش يعني؟ هقول X هستبدل كل X ب
+
+84
+00:07:23,360 --> 00:07:28,510
+X لاقص BXهتصير المعادلة تبقى فيها اللي كانت بتاعة
+
+85
+00:07:28,510 --> 00:07:36,370
+الـ Scaling على سبيل المثال X' بدها تساوي SX في X
+
+86
+00:07:36,370 --> 00:07:42,950
+مش هي معادلة الـ Scaling Y' بدها تساوي SY في Y
+
+87
+00:07:42,950 --> 00:07:49,150
+بيقولني الآن على المعادلة هذه خدوا رقم واحد استبدل
+
+88
+00:07:49,150 --> 00:08:01,500
+كل X ب X نقص بي Xوكل Y Y-PY يعني هتصير المعادلة
+
+89
+00:08:01,500 --> 00:08:09,220
+اللي عندي هي X' تساوي SX في X ناقص PX اللي هي ال
+
+90
+00:08:09,220 --> 00:08:18,840
+coordinate الجديدة و هتصير في عندي Y' تساوي SY في
+
+91
+00:08:18,840 --> 00:08:24,570
+Y ناقص PYطبعا هذا خطوة رقم واحد الخطوة التانية
+
+92
+00:08:24,570 --> 00:08:34,250
+بضيف بيكس على كل المعادلة و بيكس بي وي على كل
+
+93
+00:08:34,250 --> 00:08:37,250
+المعادلة اللي عندي الان بكتفك بص المعادلة اللي
+
+94
+00:08:37,250 --> 00:08:45,290
+عندي هتصرف عندي XSx في x ماقص Sx في Bx زائد Bx
+
+95
+00:08:45,290 --> 00:08:52,930
+مظبوط وهذه زيها Sy في y ماقص Sy في Py زائد By وهذه
+
+96
+00:08:52,930 --> 00:08:58,170
+تساوي Sx
+
+97
+00:08:58,170 --> 00:09:08,330
+في x ماقص Sx في Bx زائد Bx اللي تحتها Sy
+
+98
+00:09:14,140 --> 00:09:25,960
+Y-SY PY PY PY PY PY PY
+
+99
+00:09:25,960 --> 00:09:30,720
+PY PY PY PY PY PY PY PY PY PY PY PY PY PY PY PY PY
+
+100
+00:09:30,720 --> 00:09:30,940
+PY PY PY PY PY PY PY PY PY PY PY PY PY PY PY PY PY
+
+101
+00:09:30,940 --> 00:09:32,580
+PY PY
+
+102
+00:09:35,620 --> 00:09:41,840
+بيكس في واحد ناقص SX انا اخدت البيكس عامل مشترك
+
+103
+00:09:41,840 --> 00:09:45,860
+صار عنده واحد وصار عنده ناقص SX على ترتيبهم فقط
+
+104
+00:09:45,860 --> 00:09:59,800
+تساوي SY في Y زائد BY في واحد ناقص SY لو اطلعت في
+
+105
+00:09:59,800 --> 00:10:04,210
+المعابلة هايفعليا أنا حققت في Scaling المطوب
+
+106
+00:10:04,210 --> 00:10:11,870
+وعملتله إزاحة عشان يرجع الشكل لم نقطة اللي كان
+
+107
+00:10:11,870 --> 00:10:16,150
+ثابت عندها .. لم نقطة اللي كان ثابت عندها وإذا أنا
+
+108
+00:10:16,150 --> 00:10:20,210
+مضطر أزيح .. يعني على سبيل المثال تخيل أن أنا فيه
+
+109
+00:10:20,210 --> 00:10:22,450
+عندي مربع بالشكل هابط
+
+110
+00:10:25,080 --> 00:10:29,740
+و جيت قلتلك انا بدي اقنع الـ Scaling للمربع هذا
+
+111
+00:10:29,740 --> 00:10:35,260
+بحيث ان السنتر تبعه مايدغيرش شو يعني السنتر تبعه
+
+112
+00:10:35,260 --> 00:10:42,340
+مايدغيرش؟ يعني انا المساحة اللي هتكون هان هيك هذا
+
+113
+00:10:42,340 --> 00:10:46,820
+هو المربع الجديد تبعنا هذا
+
+114
+00:10:46,820 --> 00:10:52,890
+الكلام بدون ان انا اصير اتكلمعلى scaling تبعنا
+
+115
+00:10:52,890 --> 00:10:56,950
+نقطة معناته الشخصي مباشرة حين نعمله shift كيف نجبر
+
+116
+00:10:56,950 --> 00:11:01,430
+أثبته بالمعادلة اللي زي هذه والمعادلة هذه هتوصلنا
+
+117
+00:11:01,430 --> 00:11:12,110
+لمين يا شباب هتوصلنا لمصفوفة تبعتنا Sx
+
+118
+00:11:12,110 --> 00:11:19,430
+Zero Bx في واحد ناقص Sx Zero
+
+119
+00:11:21,660 --> 00:11:32,080
+SY PY PY PY PY
+
+120
+00:11:32,080 --> 00:11:32,120
+PY PY PY PY PY PY PY PY PY PY PY PY PY PY PY PY PY
+
+121
+00:11:32,120 --> 00:11:32,240
+PY PY PY PY PY PY PY PY PY PY PY PY PY PY PY PY PY
+
+122
+00:11:32,240 --> 00:11:32,620
+PY PY PY PY PY PY PY PY PY PY PY PY PY PY PY PY PY
+
+123
+00:11:32,620 --> 00:11:33,940
+PY PY PY PY PY PY PY PY PY PY PY PY PY PY PY PY PY
+
+124
+00:11:33,940 --> 00:11:37,980
+PY
+
+125
+00:11:37,980 --> 00:11:38,000
+PY PY PY PY PY PY PY PY PY PY PY PY PY PY PY PY PY
+
+126
+00:11:38,000 --> 00:11:48,100
+PY PY PY
+
+127
+00:11:48,100 --> 00:11:57,410
+PYأفترض لو في عندى شاب بغض
+
+128
+00:11:57,410 --> 00:12:04,330
+النظر إيش كان الشكل هذا ويعمله scaling by
+
+129
+00:12:04,330 --> 00:12:13,350
+2 تبعا للنقطة واحد وواحد احنا وصلنا الشكل كمان مرة
+
+130
+00:12:13,350 --> 00:12:17,150
+نرجع كمان مرة يا شباب عشان نوضح الصورة بشكل كويس
+
+131
+00:12:17,150 --> 00:12:26,010
+الآن لو أنا افترضتهي X وهي Y وانا عندي شكل موجود
+
+132
+00:12:26,010 --> 00:12:38,770
+اي واحد اتنين تلاتة اربعة خمسة ستة سبعة اتمنى
+
+133
+00:12:44,570 --> 00:12:52,830
+و أنا نفس الكلام واحد اتنين تلاتة اربع خمسة ليكم
+
+134
+00:12:52,830 --> 00:12:56,950
+والشكل
+
+135
+00:12:56,950 --> 00:13:02,250
+اللي عندي انا كان هاي بدايته واحد
+
+136
+00:13:02,250 --> 00:13:10,790
+و واحد او
+
+137
+00:13:10,790 --> 00:13:12,970
+ممكن تخليه مثلف برضه مش فارق كتير معانا
+
+138
+00:13:19,110 --> 00:13:26,810
+الان النقبة تبعتنا هنا واحد و واحد تلاتة و واحد
+
+139
+00:13:26,810 --> 00:13:33,430
+تلاتة و اتنين تلاتة و اتنين هى تمام؟الان بيقول
+
+140
+00:13:33,430 --> 00:13:38,010
+يعمله scaling by two شو يعني scaling by two؟أدرُف
+
+141
+00:13:38,010 --> 00:13:42,250
+X بـ 2 و Y بـ 2 يعني المعادلة تبعتي الأصل تكون
+
+142
+00:13:42,250 --> 00:13:48,950
+هكذا X برايم ده تساوي 2X و Y برايم ده تساوي 2Y لكن
+
+143
+00:13:48,950 --> 00:13:53,530
+.. لكن هذا الكلام كان لمن؟ للمقطة صفر و صفر لإن
+
+144
+00:13:53,530 --> 00:13:58,490
+أنا بين جوسين بدي أعوض عن X بصفر و Y بصفر بي X
+
+145
+00:13:58,490 --> 00:14:02,250
+بصفر و بي Y بصفر هتروح ال term هذي هصير صفر و هذي
+
+146
+00:14:02,250 --> 00:14:07,290
+هتسافر و هتبقى in scaling زي ما هيالآن بقول اه بس
+
+147
+00:14:07,290 --> 00:14:10,970
+ال scaling تبعك بتكون تبعنا النقطة واحد واحد واحد
+
+148
+00:14:10,970 --> 00:14:17,450
+الواحد بكل بساطة كل احنا المعادلة تبع ت scaling
+
+149
+00:14:17,450 --> 00:14:20,950
+تبعنا النقطة relative to one to one مش هتكون هذه
+
+150
+00:14:20,950 --> 00:14:29,470
+هتكون اتنين اكس زائد بكس هي واحد مضربة في واحد
+
+151
+00:14:29,470 --> 00:14:36,590
+ماقص اتنين قيمة ال scalingوالتانية زائد واحد او بي
+
+152
+00:14:36,590 --> 00:14:41,010
+بواي مضروبة في واحد ماقص لسكينم تبعت ال Y بي واي
+
+153
+00:14:41,010 --> 00:14:44,850
+لسكينم تبعت ال Y عفوان نين مش هذا المعادلة اللي
+
+154
+00:14:44,850 --> 00:14:52,930
+عندنا هي كمان مرة صارت عندي X براين ذات ساوي SX في
+
+155
+00:14:52,930 --> 00:15:03,050
+X زائد PX في واحد ماقص SX Y براين ذات ساوي SYفي Y
+
+156
+00:15:03,050 --> 00:15:08,130
+زائد Py في واحد ناقص Sy هذا هي المعادلة اللى
+
+157
+00:15:08,130 --> 00:15:17,950
+موجودة عندى الان تبقى المكان هذا هتصير عندى 2Xنقص
+
+158
+00:15:17,950 --> 00:15:23,530
+واحد نقص واحد واحد زي واحد نقص اتنين نقص واحد
+
+159
+00:15:23,530 --> 00:15:28,070
+معناته انا ناقص واحد وانا اتنين واي ناقص واحد
+
+160
+00:15:28,070 --> 00:15:31,350
+تعالى نشوف ال scaling الان في الحالتين السادقات
+
+161
+00:15:31,350 --> 00:15:38,950
+الحالة لما كانت اتنين اكس لحالها اتنين اكس معناه
+
+162
+00:15:38,950 --> 00:15:46,450
+واحد واحد حقا اتنين اتنين و اتنينالان تلاتة و واحد
+
+163
+00:15:46,450 --> 00:15:51,630
+هتصير ستة و اتنين ستة
+
+164
+00:15:51,630 --> 00:16:04,530
+و اتنين الان ستة و اربعة هذا
+
+165
+00:16:04,530 --> 00:16:10,710
+الآن بدون ما اثبته لنقمة واحد و واحد تمام؟ احنا
+
+166
+00:16:10,710 --> 00:16:13,090
+لما شوفنا الموضوع الماضي قلت على الأقل هذا بدون
+
+167
+00:16:13,090 --> 00:16:17,640
+عمل إزاحةواحد لتحت وواحد للاسافر اللي هي فعليا
+
+168
+00:16:17,640 --> 00:16:21,780
+تلقيت معاه تعال تطبق على المعادلة الجديدة تعال
+
+169
+00:16:21,780 --> 00:16:27,540
+تطبق على المعادلة الجديدة الآن هيها واحد وواحد
+
+170
+00:16:27,540 --> 00:16:30,580
+اتنين
+
+171
+00:16:30,580 --> 00:16:34,660
+في واحد مانقس واحد واحد اتنين في واحد مانقس واحد
+
+172
+00:16:34,660 --> 00:16:41,780
+واحد بلت النقطة هي نفسها لجديدة مصبوب؟ الآن ثلاثة
+
+173
+00:16:41,780 --> 00:16:50,980
+وواحدتلاتة فى اتنين ستة ماكس واحد خمسة واحد فى
+
+174
+00:16:50,980 --> 00:16:56,080
+اتنين واحد هى
+
+175
+00:16:56,080 --> 00:16:59,800
+مقبض تانى والاخيرة اللى هيتلقى اربط تلاتة و اتنين
+
+176
+00:16:59,800 --> 00:17:03,600
+خمسة
+
+177
+00:17:03,600 --> 00:17:10,060
+و تلاتة وهذا
+
+178
+00:17:10,060 --> 00:17:12,840
+هو المثلث الجديد
+
+179
+00:17:15,740 --> 00:17:20,180
+وبالتالي صرت انا بقدر اتكلم انه الشكل تبعي
+
+180
+00:17:20,180 --> 00:17:24,600
+مايتغيرش الشكل تبعي مايتغيرش ال center تبعه تعالى
+
+181
+00:17:24,600 --> 00:17:29,160
+نشوف كده انا هنطبق مع بعض كمان مثال على القيمة
+
+182
+00:17:29,160 --> 00:17:34,620
+التالية وانا الحين بحاول نرسلك عشان اطبحلك فكرة ان
+
+183
+00:17:34,620 --> 00:17:37,980
+انا مابدي اثبته لنقطة نجي لمثال المربع قبل شوية
+
+184
+00:17:37,980 --> 00:17:41,140
+اللي قول ان مابدي اثبته تبع لل center مابدي اثبته
+
+185
+00:17:41,140 --> 00:17:45,180
+تبع لل center خلينا نقول ان فعليا المربع تبع جان
+
+186
+00:18:06,840 --> 00:18:16,160
+تلاتة و واحد واحد و تلاتةوهم تلاتة و تلاتة لو انا
+
+187
+00:18:16,160 --> 00:18:19,680
+بدي اعمل scaling بطريقة تقليدية اتنين اكس اتنين
+
+188
+00:18:19,680 --> 00:18:26,260
+اكس هتصير اتنين و اتنين و هيجيها مظبوط هيخلف
+
+189
+00:18:26,260 --> 00:18:29,700
+المركز طب من المركز الآن هيو مركز يمين يشبهها
+
+190
+00:18:29,700 --> 00:18:34,960
+اتنين و اتنين انا الآن بدي اعمل scaling تبع لمين
+
+191
+00:18:34,960 --> 00:18:41,060
+لمقطة هاي لاتنين و اتنين هتصفي
+
+192
+00:18:41,060 --> 00:18:41,720
+عندي المسألة
+
+193
+00:18:50,910 --> 00:18:59,930
+تساوي اتنين اكس زائد زائد تساوي
+
+194
+00:18:59,930 --> 00:19:10,050
+اتنين اكس زائد زائدبصبوط و ال y prime بتتساوي 2y
+
+195
+00:19:10,050 --> 00:19:17,950
+زائد py2 في 1 نقص 2 و اللي بتتساوي 2x لأن عندي نقص
+
+196
+00:19:17,950 --> 00:19:28,810
+1 انا نقص 2 2x نقص 2 2y عفوا تمام تعالى نشوف
+
+197
+00:19:28,810 --> 00:19:29,790
+المقطع واحد واحد
+
+198
+00:19:35,980 --> 00:19:43,500
+تنين صفر و صفر هذه
+
+199
+00:19:43,500 --> 00:19:48,540
+النقطة الأولى مظبوط النقطة اللي بعديها تلاتة و
+
+200
+00:19:48,540 --> 00:20:00,800
+واحد اربعة ستة نقص اتنين اربعة و صفر صح
+
+201
+00:20:00,800 --> 00:20:04,100
+اللي بعديها واحد و تلاتة
+
+202
+00:20:12,270 --> 00:20:19,930
+الأخيرة و المركز
+
+203
+00:20:19,930 --> 00:20:24,910
+بقى ثابت هذا بنيزة ان انا اقدر اعمل translation او
+
+204
+00:20:24,910 --> 00:20:30,770
+اعمل transforms تبع لمقطة معينة وبالتالي انا بقدر
+
+205
+00:20:31,970 --> 00:20:35,210
+أصيب أتحكم في ال ammunition تبعتي بشكل أفضل إذا
+
+206
+00:20:35,210 --> 00:20:39,670
+أنا فعليا حطيت المعيار هاي بشكل واضح طبعا ممكن
+
+207
+00:20:39,670 --> 00:20:43,270
+واحد يقول انا بدي .. بدي أعمل حساب يعني المقبة هي
+
+208
+00:20:43,270 --> 00:20:47,250
+ماتتغيرش استخدم المقبة نفسها انت الآن المقبة اللي
+
+209
+00:20:47,250 --> 00:20:51,510
+أخدتها تبت عندها بقي واحد ده الجزء من الشكل فبتها
+
+210
+00:20:51,510 --> 00:20:54,370
+استخدمها هي اللي انا بدي اعمل تبع لإيها scaling
+
+211
+00:20:54,370 --> 00:20:59,770
+وبالتالي بحصل على الشكل اللي موجود طيب ليش ال DX
+
+212
+00:20:59,770 --> 00:21:05,770
+والBY تساوي؟لأن الـ Center تبعتي هي .. انا قلت انا
+
+213
+00:21:05,770 --> 00:21:09,190
+بدي اعمل Scaling للمربع حد بحيث انه يحافظ على ال
+
+214
+00:21:09,190 --> 00:21:12,630
+Center بعد ما وصمت المربع ال Center تبعه اين؟
+
+215
+00:21:12,630 --> 00:21:16,190
+اتنين و اتنين فاستخدمت اتنين و اتنين قبل شوية قلت
+
+216
+00:21:16,190 --> 00:21:20,690
+انا بدي اعمل Scaling تبع للنقطة واحد واحد فاستخدمت
+
+217
+00:21:20,690 --> 00:21:23,750
+النقطة هي انت حرف النقطة عشان ايه بيقول اختيارك
+
+218
+00:21:23,750 --> 00:21:26,030
+للنقطة حسب حاجتك
+
+219
+00:21:38,500 --> 00:21:42,540
+ماذا يفرج معايا يا شباب؟ اذا كنت اتكلم عنه الـ
+
+220
+00:21:42,540 --> 00:21:48,500
+Scaling الـ Reflection، الانعكاس حسب
+
+221
+00:21:48,500 --> 00:21:52,660
+ما كنت اتكلم عنه الانعكاس سيكون حسب الـ X أو الـ Y
+
+222
+00:21:52,660 --> 00:21:58,280
+بل انا ممكن احط اي محور تاري موازي للـ X او اي
+
+223
+00:21:58,280 --> 00:22:01,840
+محور تاري موازي للـ Y لما انا باجر بقولك في عند
+
+224
+00:22:01,840 --> 00:22:06,460
+المحور عند الـ X سواء الخمسة اعمل علي انعكاسيعني
+
+225
+00:22:06,460 --> 00:22:11,440
+تخيل في الشكل اللي كان عندي قبل شوية هاي المربع و
+
+226
+00:22:11,440 --> 00:22:14,820
+دي اللي بيقولتلك هاي الشكل X equal خمسة اعمل
+
+227
+00:22:14,820 --> 00:22:19,720
+انعكاس حواليك اعمل انعكاس كام شكل ايه الشكل بيصير
+
+228
+00:22:19,720 --> 00:22:22,520
+عندي اه كامل الاصل هيك يصير
+
+229
+00:22:28,910 --> 00:22:32,270
+هلأ، تبقى اللي أنا .. بالضبط، لأنه هاد الآن صار
+
+230
+00:22:32,270 --> 00:22:36,290
+عندي نحور لمعكاس في مكان معين، أنا كل قياساتي
+
+231
+00:22:36,290 --> 00:22:40,650
+بتصير تبعا لإله، مش عكاس الشجرية، لا، نفس الشغل
+
+232
+00:22:40,650 --> 00:22:44,090
+السابق، أنا النقطة هادي، النقطة هادي، الانعكاس
+
+233
+00:22:44,090 --> 00:22:49,540
+تبعها الاصل وين يكونهنا مظبوط او لا و هذه النقطة
+
+234
+00:22:49,540 --> 00:22:53,000
+انعكاسها عن نفسي يكون هنا لان هذه محور الانعكاس
+
+235
+00:22:53,000 --> 00:22:57,480
+اللى موجود عندى ايوة لانه صار بمثابة arbitrary y
+
+236
+00:22:57,480 --> 00:23:01,320
+axis بنسميه احنا تمام ايش هيتغير عندى في المعادلة
+
+237
+00:23:01,320 --> 00:23:06,740
+يا شباب ايش اللى هيتغير في المعادلة تبعت ال
+
+238
+00:23:06,740 --> 00:23:09,760
+reflection عام حالي محامرة ال reflection كنت بروح
+
+239
+00:23:09,760 --> 00:23:16,700
+بقوله انا x prime يتساوى ناقص xوالـ Y' بيبقى تسوي
+
+240
+00:23:16,700 --> 00:23:22,040
+Y تبقى على محور وليه لأ لما باجي بقولك انعكاس حول
+
+241
+00:23:22,040 --> 00:23:26,320
+محور Y زي الـ X الـ Y Axis عند الـ X يسوى خمسة
+
+242
+00:23:26,320 --> 00:23:33,560
+معناته ان انا فعاليا هتكون عندى التغير هان تغير في
+
+243
+00:23:33,560 --> 00:23:42,140
+ال X نفس الكلام السابق هقولك ان X ناقص ناقص مضروبة
+
+244
+00:23:42,140 --> 00:23:54,640
+في X ناقص بي Xزائد PX وهذه تساوي ناقص X زائد PX في
+
+245
+00:23:54,640 --> 00:24:03,360
+واحد ناقص PX مظبوط هك؟ هنناقص وهذه زائد اتنين PX
+
+246
+00:24:03,360 --> 00:24:07,700
+هذه
+
+247
+00:24:07,700 --> 00:24:15,140
+هتصير زائد زائد اتنين PXللمقطة عشان اعمل انعكاس
+
+248
+00:24:15,140 --> 00:24:19,340
+حوالين المقطة اللى موجودة عندي تعالى نشوف بجيت ال
+
+249
+00:24:19,340 --> 00:24:22,760
+transforms و بجيت المعادلات اللى موجودة في الأخر
+
+250
+00:24:22,760 --> 00:24:27,720
+انا هندي دائما هبقى اللي هندي نفس القضية بالنسبة
+
+251
+00:24:27,720 --> 00:24:30,860
+لل reflection بالوضع العادى ال reflection تبقى لل
+
+252
+00:24:30,860 --> 00:24:36,100
+X لل Y axisبضرب ال X بسالب واحد ال reflection تبع
+
+253
+00:24:36,100 --> 00:24:41,020
+لل X axis بضرب ال Y بسالب واحد الآية اللي مضبوط
+
+254
+00:24:41,020 --> 00:24:46,740
+عليها الكلام السابق تبع ال arbitrary arbitrary
+
+255
+00:24:46,740 --> 00:24:51,460
+Y معناه لو أنا فيه اندي بالشكل
+
+256
+00:24:51,460 --> 00:24:57,940
+هذا ثابت X
+
+257
+00:24:57,940 --> 00:25:04,050
+ماقص اتنينفي الـPx تبع النقطة أو قيمة اللي موجودة
+
+258
+00:25:04,050 --> 00:25:07,690
+عندك بي وي في أيها استخدام شباب لأ ماعنديش في ال Y
+
+259
+00:25:07,690 --> 00:25:14,850
+لأن لما انا بتكلم Y X Axis موازي للنقطة الفلانية
+
+260
+00:25:14,850 --> 00:25:18,450
+معناته ان عندي قيمة ال Y ثابتة ولا لأ وبالتالي
+
+261
+00:25:18,450 --> 00:25:24,420
+الشغل عندكلما بجمعه الانعكاس حول محور يوازي ال X
+
+262
+00:25:24,420 --> 00:25:30,360
+Axis معناته اندي انااش ال Y هي اللى بتتحرك و ال X
+
+263
+00:25:30,360 --> 00:25:33,680
+هتبقى لعندي ثابتة فهذا الكلام هو نفسه الكلام
+
+264
+00:25:33,680 --> 00:25:38,980
+السابق وبالتالي انا ضروري اعرف الانعكاس تبعي اذا
+
+265
+00:25:38,980 --> 00:25:48,460
+كان arbitrary Y Axis شو قمتها اتنين في Xأو a في x
+
+266
+00:25:48,460 --> 00:25:55,700
+عشان نقولها يموازي لل y axis عن قيمة x او 2x او a
+
+267
+00:25:55,700 --> 00:25:59,100
+في x للقيمة الموجودة احنا كتبناها قبل شوية على
+
+268
+00:25:59,100 --> 00:26:04,660
+انها bx مش هتفرجي كتير عندها طيب و لما تكون عند ال
+
+269
+00:26:04,660 --> 00:26:10,540
+y هتكون المعادلة سالب واحد في اتنين ay سالب واحد
+
+270
+00:26:10,540 --> 00:26:11,980
+في اتنين ay
+
+271
+00:26:16,680 --> 00:26:20,420
+تعالى نحاول نطبق الشكل السادق أو المثال السادق
+
+272
+00:26:20,420 --> 00:26:23,860
+اللى احنا حاولنا نقسمه مع بعض على ال reflection
+
+273
+00:26:23,860 --> 00:26:28,420
+بعد ما احنا عرفنا الصورة اللى موجودة اولى شايفيا
+
+274
+00:26:28,420 --> 00:26:33,700
+ان مثال موجود بالشكل هذا ممكن اسهل بقولوا يا عم ال
+
+275
+00:26:33,700 --> 00:26:39,500
+reflection تبعا لل vertical vertex vertical vertex
+
+276
+00:26:39,500 --> 00:26:43,460
+او vertical axis عفوا vertical شو يعني شباب عمودي
+
+277
+00:26:43,460 --> 00:26:50,950
+عمودي عند ال X equalواحد يعني في عندي محور ال Y
+
+278
+00:26:50,950 --> 00:26:58,610
+وازي ال Y axis عند ال X equal واحد هاي معناته هاي
+
+279
+00:26:58,610 --> 00:27:03,350
+الشكل تبعي هو هاي الشكل الأصلي تبعي وجيت عند ال
+
+280
+00:27:03,350 --> 00:27:08,090
+واحد وهي
+
+281
+00:27:08,090 --> 00:27:11,510
+ال axis اللي أنا بتكلم عليه أو هاي المحور اللي أنا
+
+282
+00:27:11,510 --> 00:27:16,310
+بتكلم عليه الآن الأصل
+
+283
+00:27:16,310 --> 00:27:24,630
+في المعادلة تبعتيإن الـ x prime بيتساوي ناقص x
+
+284
+00:27:24,630 --> 00:27:34,210
+زائد 2ax مظبوط قيمة الـ ax بواحد معناته هتصف
+
+285
+00:27:34,210 --> 00:27:40,050
+انديهان ناقص x زائد 2 طب و ال y prime زي ما هي مش
+
+286
+00:27:40,050 --> 00:27:43,930
+عليها تغيير تعالى
+
+287
+00:27:43,930 --> 00:27:47,030
+نشوف النقطة هالى النقطة هالى على الشكل 2 و 1
+
+288
+00:27:50,050 --> 00:27:57,890
+مصبوط هتصير حسب المعادلة هذه سالب
+
+289
+00:27:57,890 --> 00:28:10,570
+اتنين و اتنين سفر سالب اتنين زائد اتنين سفر ال Y
+
+290
+00:28:10,570 --> 00:28:18,490
+زي ما هي سفر واحدلاحظ ال distance حسب انعكاسها هذا
+
+291
+00:28:18,490 --> 00:28:23,770
+المساحة تساوي المسافة الموجودة تساوي المسافة هذه
+
+292
+00:28:23,770 --> 00:28:28,550
+طيب و
+
+293
+00:28:28,550 --> 00:28:32,390
+اكمل باقي النقاط لو انا روحت جولت X تساوي 2 عند ال
+
+294
+00:28:32,390 --> 00:28:37,310
+X axis X تساوي 2 بدي اغير على المثال شوية طب خلاص
+
+295
+00:28:37,310 --> 00:28:40,170
+باقي النقاط واحد فاركبهم كده الشكلة لو انا اجيت
+
+296
+00:28:40,170 --> 00:28:48,540
+جولتهنا X تساوي او الـ X تساوي واحد بدي اروح اعمل
+
+297
+00:28:48,540 --> 00:28:54,260
+عند X تساوي اتنين يعني اين؟ هذا بيكون محور
+
+298
+00:28:54,260 --> 00:28:54,760
+الانعكاس
+
+299
+00:29:04,350 --> 00:29:10,610
+حسب المعادلة x prime بتتساوي ناقص x زائد اتنين في
+
+300
+00:29:10,610 --> 00:29:17,890
+ax ax اتنين و اتنين اربعة تصير ناقص x زائد اربعة و
+
+301
+00:29:17,890 --> 00:29:23,230
+ال y prime تساوي زي ما هي بدون تعديل النقطة هاي يا
+
+302
+00:29:23,230 --> 00:29:30,630
+شباب هذه المفروض واحد اتنين و واحد هذه النقطة
+
+303
+00:29:30,630 --> 00:29:36,910
+اتنين و واحدتصير سلب اتنين؟ لأ مش لازم تتغير هذه
+
+304
+00:29:36,910 --> 00:29:40,770
+الاصل دل اتنين و واحد عارف ليش؟ لأن اللي جاية على
+
+305
+00:29:40,770 --> 00:29:48,610
+المحور يعني بالضبط هي الشكل اللي بده يصير الآن هي
+
+306
+00:29:48,610 --> 00:29:52,630
+المعكس ليش؟ لأنه مراسق تماماً للمحور اللي موجود
+
+307
+00:29:52,630 --> 00:29:57,910
+وبالتالي هذه الكلام مهم جدا بالنسبة لي أصير أتعامل
+
+308
+00:29:57,910 --> 00:30:02,570
+مع المحاور أو أتعامل مع نقاط لأن من خلالها أنا بقى
+
+309
+00:30:02,570 --> 00:30:08,320
+أصيربتلاحظ أحيانا في الأفلام أو في ال animation
+
+310
+00:30:08,320 --> 00:30:11,360
+لما بيجيبوا لك واحد و يمروا في ممر فيه مجموعة من
+
+311
+00:30:11,360 --> 00:30:16,600
+المرايا ما هو الأنعكاسات لازم تكون قياساتها مختلفة
+
+312
+00:30:16,600 --> 00:30:21,100
+لأن المحاور أو المحور تعتبر كل مرايا عبارة عن محور
+
+313
+00:30:21,100 --> 00:30:25,540
+و قيمته و شكل الانعكاس عليهابدي يكون مختلف وبناء
+
+314
+00:30:25,540 --> 00:30:28,740
+على هي كان بدي انا اعرف ما هو ال position تبع ال
+
+315
+00:30:28,740 --> 00:30:31,700
+character اللي انا بدي اعمل و ال position تبع
+
+316
+00:30:31,700 --> 00:30:36,480
+المرايا عشان اقدر اعمل انعكاس صحيح على كل المرايا
+
+317
+00:30:36,480 --> 00:30:46,060
+اللي موجودة عندها ده
+
+318
+00:30:46,060 --> 00:30:47,760
+العلم الأخر شغل في ال
+
+319
+00:30:50,600 --> 00:30:54,360
+في الـ 2D Animation أو في الـ .. في الـ 2D الـ
+
+320
+00:30:54,360 --> 00:30:57,400
+Transformations اللي هي الـ Shearing حنا اتفقنا
+
+321
+00:30:57,400 --> 00:31:02,240
+الـ Shears شباب سابقا معناتها القص أو ال cut لكن
+
+322
+00:31:02,240 --> 00:31:06,980
+لما أنا بقاش و بتكلم الشير بال animation أو بال ..
+
+323
+00:31:06,980 --> 00:31:11,240
+بال ال computer ال graphics لأتعنى القص تاني أن
+
+324
+00:31:11,240 --> 00:31:16,180
+هنا فعليا بدي أعمل إزاحة للشكل من منطقة و أثبته في
+
+325
+00:31:16,180 --> 00:31:21,400
+منطقة تانية مثل تخيل هذا المربعأنا ثبتت الأرضية
+
+326
+00:31:21,400 --> 00:31:26,920
+تبعته، و هو عملت إزاحة لسجفه تماما، تخيل إنه عندك
+
+327
+00:31:26,920 --> 00:31:31,140
+صندوق من الكرتون، مربع كرتون، صندوق كرتون، و هو
+
+328
+00:31:31,140 --> 00:31:34,820
+على الأرض أنت جيت إيش سجيت عليه؟ زجيته، بعجته،
+
+329
+00:31:34,820 --> 00:31:38,820
+بعجته، بالمصطلح اللي أنت بدك إياه، هو فعليا أنت
+
+330
+00:31:38,820 --> 00:31:45,880
+حاولت إيش تعمله؟ متوازيأطلع متوازي أطلع متوازي
+
+331
+00:31:45,880 --> 00:31:50,020
+أطلع فهذا هو المفهوم الـ sharing الان لكن لما انا
+
+332
+00:31:50,020 --> 00:31:52,900
+بدي أتكلم عن ال sharing ال sharing شويه معادلتها
+
+333
+00:31:52,900 --> 00:31:57,100
+مختلفة عن كل المعادلات السابقة احنا شوفنا ال
+
+334
+00:31:57,100 --> 00:32:00,960
+translation ال translation ماكنتش بتأثر على قيمة
+
+335
+00:32:00,960 --> 00:32:04,520
+ال Y ولا ال X بس تم الإزاحة مظبوط يعني ماكنتش بعمل
+
+336
+00:32:04,520 --> 00:32:07,520
+ال scaling كنت بدر قيمة ال Y وقيمة ال X بال
+
+337
+00:32:07,520 --> 00:32:11,320
+special factor reflection بدر انفسالي بواحد الان
+
+338
+00:32:11,320 --> 00:32:11,900
+في ال sharing
+
+339
+00:32:14,920 --> 00:32:18,760
+الان بدى تدخل معايا x و y في المعادلاتين بالنسبة
+
+340
+00:32:18,760 --> 00:32:22,800
+لقيمة x احنا سابقا كنت بروح بقوله x ال prime بده
+
+341
+00:32:22,800 --> 00:32:29,280
+تساوي 2x زائد 1 وقمت
+
+342
+00:32:29,280 --> 00:32:32,960
+المعادل تبع واحد مع ان في معامل y في المعادلة كان
+
+343
+00:32:32,960 --> 00:32:40,380
+موجودأكس برايم تساوي ax زائد by زائد e وy برايم هي
+
+344
+00:32:40,380 --> 00:32:46,180
+تساوي d في x زائد c في x زائد d في y زائد f
+
+345
+00:32:46,180 --> 00:32:50,180
+وبالتالي ال y كانت حاضرة في المعاملة تاني إلا غير
+
+346
+00:32:50,180 --> 00:32:53,160
+أن مع ال translation مع ال slacking وreflection
+
+347
+00:32:53,160 --> 00:32:58,200
+كنت بستخدم المعاملة صفر، أصبت؟ لكن الأهم هي ال
+
+348
+00:32:58,200 --> 00:33:01,020
+sharing والأهم شويه هيختلف تاني شو بيفهم هذا ال
+
+349
+00:33:01,020 --> 00:33:06,450
+sharing مع بعض شباب لاحظالمربع الأصلي تبعه هيه
+
+350
+00:33:06,450 --> 00:33:13,570
+مفهوم ال sharing ان انا فعليا ال base تبعته ثادتة
+
+351
+00:33:13,570 --> 00:33:18,590
+او بمجرد ان تتخيل انا ثبت السجف تبعه و بده أسحب من
+
+352
+00:33:18,590 --> 00:33:23,490
+انتحت فلازم يكون فيه ايش امحنقة او ميل حسب الشكل
+
+353
+00:33:23,490 --> 00:33:28,050
+اللي موجود عندها الان مقمار الإزاحة على الواجهة
+
+354
+00:33:28,050 --> 00:33:30,550
+دياشي شباب 2
+
+355
+00:33:35,130 --> 00:33:37,690
+فى النقطتين اللى فوق ايه فى النقطتين اللى فوق
+
+356
+00:33:37,690 --> 00:33:41,990
+معناته ان انا مش كل النقاط اللى بتنعملها إزاحة هذه
+
+357
+00:33:41,990 --> 00:33:47,830
+النقطة هى مقدار الإزاحة عندي هنا بس إزاحة لما يا
+
+358
+00:33:47,830 --> 00:33:53,190
+شباب إذا ال X لحظة ال Y ماتغيرتش عليها حاجة لأنه
+
+359
+00:33:53,190 --> 00:34:00,530
+انا فعليا يثبت الشكل فارتفاعه مش هيتغير عيشي طيب
+
+360
+00:34:00,530 --> 00:34:11,590
+ال share بهذهعملت عندي مرثلث قائم الزاوية هو
+
+361
+00:34:11,590 --> 00:34:19,810
+نفس الشكل اللهام صح؟ طيب الان طول المسافة هذه جداش
+
+362
+00:34:19,810 --> 00:34:23,110
+أنا
+
+363
+00:34:23,110 --> 00:34:27,770
+عندي .. عندي الزاوية مقدارها ديتا معروف وعندي
+
+364
+00:34:27,770 --> 00:34:35,490
+الإرتفاعWhy؟ الدولة عندك إيش يساوي؟ ممتاز إما
+
+365
+00:34:35,490 --> 00:34:39,530
+بستخدم ال sign أو أستخدم ال tan أنا فعليا عندي
+
+366
+00:34:39,530 --> 00:34:48,090
+الزاية والدولة المجاور إليها، فح؟ والواتر هال،
+
+367
+00:34:48,090 --> 00:34:53,870
+الآن في عند ال tan إيش يساوي؟التان الزاوية المقابل
+
+368
+00:34:53,870 --> 00:34:58,270
+على المجارد ما يطلب استخدام التان هو يسهل استخدام
+
+369
+00:34:58,270 --> 00:35:01,770
+الكزاين لأنه سيجعلني أحاول أحسن الوطر إذا أريد
+
+370
+00:35:01,770 --> 00:35:04,190
+استخدام الـSin واستخدام الكزاين ما يطلب مني أن
+
+371
+00:35:04,190 --> 00:35:06,130
+أدخل في الوطر أنا ليس أريد أن أدخل في الوطر أنا
+
+372
+00:35:06,130 --> 00:35:17,550
+لدي التان للـBeta يساوي Y على X X على Y
+
+373
+00:35:20,460 --> 00:35:28,620
+X على Y عفوا X على Y الآن بتسوّق مدد قيمة X مدد
+
+374
+00:35:28,620 --> 00:35:35,160
+ساوي Y في تاني الـ Beta اللي هي مقدار الإزاحة اللي
+
+375
+00:35:35,160 --> 00:35:38,840
+موجودة عندها يعني الـ X بس لاحظ قيمة معدلة X الآن
+
+376
+00:35:38,840 --> 00:35:44,020
+هى بطلت تعتمد على قيمة مدد X الأصلية صرت تعتمد على
+
+377
+00:35:45,380 --> 00:35:48,580
+قيمة Y والزاوية اللي موجودة يعني بين برسلين في
+
+378
+00:35:48,580 --> 00:35:52,480
+مسائل ال sharing هيجي يقولي اروح اعمل share للشكل
+
+379
+00:35:52,480 --> 00:35:55,120
+هذا في زاوية مقدارها تلاتين درجة او في زاوية
+
+380
+00:35:55,120 --> 00:35:58,660
+مقدارها خمسة واربعين زاوية مقدارها ستين ليش؟ لأن
+
+381
+00:35:58,660 --> 00:36:03,420
+فعلا المعامل عندي إيش؟ الزاوية لأنه بينفعش انا
+
+382
+00:36:03,420 --> 00:36:05,900
+أقول أقدرك زيح ليها مقدار خمسة صدر .. خمسة صدر هذا
+
+383
+00:36:05,900 --> 00:36:09,500
+احتنعكس في الآخر على زاوية فلأ أنا بيمكن أديك
+
+384
+00:36:09,500 --> 00:36:15,120
+الزاوية بحيث تكون الأمور أفضلبعدين بتقدر تجيب اذا
+
+385
+00:36:15,120 --> 00:36:18,460
+قلتلك ازاي بتقدر تجيب مقدار الإزاحة اللى موجودة
+
+386
+00:36:18,460 --> 00:36:21,300
+فوق والعكس صحيح انت المفروض مايكونش فيه عندك مشكلة
+
+387
+00:36:21,300 --> 00:36:26,040
+لأن عادى برده هي قيمة التغيير على X مظبوط ال Y
+
+388
+00:36:26,040 --> 00:36:29,300
+هيها وال X هي مقدار التغيير على ال X يعني النقطة
+
+389
+00:36:29,300 --> 00:36:33,580
+هذه اللى كانت هنا هي نفس النقطة هذه اللى صارت هنا
+
+390
+00:36:33,580 --> 00:36:39,540
+هذه المفروض تساوي هاي حسب ال sharing اللى موجود
+
+391
+00:36:39,540 --> 00:36:49,990
+عندنا تماموبالتالي المعادلة تبعتين هتصير واحد قمت
+
+392
+00:36:49,990 --> 00:36:57,330
+ال X هيا ال X أضفت لها النقطة الجديدة هيا يعني ال
+
+393
+00:36:57,330 --> 00:37:04,360
+X بعد ما كانت صفر صارت جد إيش صارت صفر زائدTen
+
+394
+00:37:04,360 --> 00:37:10,320
+Beta كانت X قيمتها واحد صارت Ten واحد زائد Y في
+
+395
+00:37:10,320 --> 00:37:14,500
+Ten Beta كانت قيمتها هذا النقطة الأخيرة هاي اتنين
+
+396
+00:37:14,500 --> 00:37:19,060
+معناته صارت اتنين زائد Ten ال Beta لأن هذا القيمة
+
+397
+00:37:19,060 --> 00:37:22,960
+في الآخر ثابتة ان عملنا إزاح على كل النقاط اللي
+
+398
+00:37:22,960 --> 00:37:27,620
+موجودة عندي وبالتالي ال transformation اللي صار
+
+399
+00:37:27,620 --> 00:37:36,690
+عندي بال sharing هيY أو X برايم تساوي X زائد Y في
+
+400
+00:37:36,690 --> 00:37:41,230
+10 بيتا Y تساوي Y برايم لإن واحنا اتفقنا ال Y
+
+401
+00:37:41,230 --> 00:37:47,870
+ماصارش عليها أي تغيير طب و أنا بدي أعمل العكس يا
+
+402
+00:37:47,870 --> 00:37:52,330
+شباب معناته
+
+403
+00:37:52,330 --> 00:37:58,950
+هذا الشكل هو اللي بينزح لتحت لهيك انشد اورفه اورفه
+
+404
+00:37:58,950 --> 00:38:02,370
+حسب اتجاه اللي انت بدك ايه بقى في الآخر بدك تعمل
+
+405
+00:38:03,300 --> 00:38:13,260
+متوازى وهى
+
+406
+00:38:13,260 --> 00:38:20,160
+المثلث اللى بتتكلم ال X دلنا التاريب ده بصار ال
+
+407
+00:38:20,160 --> 00:38:25,300
+sharing بتجاه ال Y بنفس الكيفية صار فيها اندي
+
+408
+00:38:25,300 --> 00:38:33,740
+زاوية ثيتا وصار فيها اندي هان X ثيتانالـ Theta X
+
+409
+00:38:33,740 --> 00:38:36,440
+بتاني الـ Theta اللي هي مقدار التغيير اللي صارت
+
+410
+00:38:36,440 --> 00:38:40,120
+على مين على الإزاحة على النقطة اللي موجودة عندها
+
+411
+00:38:40,120 --> 00:38:54,380
+تمام Rotation
+
+412
+00:38:54,380 --> 00:39:00,340
+إيش ال rotation يا شباب دوران الآن
+
+413
+00:39:01,350 --> 00:39:06,130
+الدوران هو أشبه بال sharing .. الدوران هو أشبه بال
+
+414
+00:39:06,130 --> 00:39:08,350
+sharing اللي احنا ممكن نتكلم عليه في اللحظات
+
+415
+00:39:08,350 --> 00:39:15,290
+الفكرة فيه وين؟ ان هذه المقكانة .. صح؟
+
+416
+00:39:15,290 --> 00:39:20,650
+180 يعني .. ماشي .. الدوران انتقلت هذه هنا .. صارت
+
+417
+00:39:20,650 --> 00:39:24,190
+180 .. بس لو انا بدأي أحسبها على الزاوية .. ان هاي
+
+418
+00:39:24,190 --> 00:39:25,610
+ال letter تبعي .. تبع الزاوية
+
+419
+00:39:28,440 --> 00:39:33,720
+هي بتعمل rotation حسب انا وين بيغيرها مع تثبيت نصف
+
+420
+00:39:33,720 --> 00:39:37,400
+القطر مع تثبيت نصف القطر انا ماناتو بقدر اتكلم على
+
+421
+00:39:37,400 --> 00:39:41,660
+rotation عشان هيك هو ايجي بيقوللي هان لما انا بدي
+
+422
+00:39:41,660 --> 00:39:48,540
+اعمل دوران بدي اعمل دوران لنقطة دوران لنقطة ماناتو
+
+423
+00:39:48,540 --> 00:39:51,820
+بيجي يقوللي النقطة DX بيجي اعملها rotation بزاوية
+
+424
+00:39:51,820 --> 00:39:58,320
+معينة بدي تفهم يا صاحبيالآن سأقول لك زاويتين
+
+425
+00:39:58,320 --> 00:40:02,540
+الزاوية اللى بتعملها ال X بالنقطة مع الاساس مع
+
+426
+00:40:02,540 --> 00:40:06,080
+محور ال axis ال X axis ان الآن هي النقطة تبعتنا بي
+
+427
+00:40:06,080 --> 00:40:13,640
+X هي بي X او بي XY هي النقطة تبعتنا مع ال X axis
+
+428
+00:40:13,640 --> 00:40:19,640
+هي هي تاما بيجيش يقولك اعمل زاوية مع Y بيروح يقولك
+
+429
+00:40:19,640 --> 00:40:23,960
+اعمل لي rotation او يعمل دوران للنقطة هذه بزاوية
+
+430
+00:40:23,960 --> 00:40:31,220
+مقدارها بيتا تخيل انه هاد 139 لما اجي اقولك اعمل
+
+431
+00:40:31,220 --> 00:40:36,800
+دوران للنقطة هذه بزاوية مقدارها 40 درجة بتكاش تهد
+
+432
+00:40:36,800 --> 00:40:43,900
+من الصفر بتكاش تهد من الصفر بدك تعتبر ان هذاالقدر
+
+433
+00:40:43,900 --> 00:40:48,920
+هذا هيك هو الصفر و من عنده تبدأ تعدى ل 40 يعني
+
+434
+00:40:48,920 --> 00:40:54,720
+بيان جوسين بدك تعد بيه في الأربعين ذات التلاتين من
+
+435
+00:40:54,720 --> 00:40:59,520
+المحور الاساسي من المحور الأساسي طبعا لإن أنا بدي
+
+436
+00:40:59,520 --> 00:41:04,500
+أتكلم rotation أنا هيك و بقول لك لفة كمان تلاتين
+
+437
+00:41:04,500 --> 00:41:08,960
+درجة بمفهومش تحسب التلاتين من الصفر بدك تحسبله
+
+438
+00:41:08,960 --> 00:41:12,580
+تلاتين درجة نهائية عشان تقول هيكسر شكلهكان هذا الـ
+
+439
+00:41:12,580 --> 00:41:16,280
+50 درجة عشان تستخدم شكله هاي ال rotation مش من ال
+
+440
+00:41:16,280 --> 00:41:20,280
+position ده من الصفر من ال current position تمام؟
+
+441
+00:41:20,280 --> 00:41:23,220
+بتبدأ تانا ال rotation مقداره إزاي اللي بقالك
+
+442
+00:41:23,220 --> 00:41:28,060
+إياها تمام؟
+
+443
+00:41:28,060 --> 00:41:31,580
+طيب
+
+444
+00:41:31,580 --> 00:41:38,120
+معناته احنا متفقين الآن في المثلث اللي موجود عندي
+
+445
+00:41:38,120 --> 00:41:45,510
+يدوش قيمة الارتفاع هنا شبابY مظبوط الدليل هنجيبش
+
+446
+00:41:45,510 --> 00:41:52,190
+نقوله X مظبوط طيب و ال theta عندي هيها تثلث قائم
+
+447
+00:41:52,190 --> 00:41:56,330
+الزاريه تثلث قائم الزاريه فيه عندي زاريه اوضع
+
+448
+00:41:56,330 --> 00:42:00,570
+للعين معلومات كل بيانات المتثلث مقدر اجيبها تمام
+
+449
+00:42:00,570 --> 00:42:08,670
+لما جينا يعمل rotation بمقدار Beta المفروض تيجي
+
+450
+00:42:08,670 --> 00:42:14,330
+هناهذه المقمة تبعتي هاي ال beta و الزاوية الكلية
+
+451
+00:42:14,330 --> 00:42:19,810
+تبعتي هان صارت theta زاد beta مصبوط هاي الزاويتين
+
+452
+00:42:19,810 --> 00:42:26,370
+الآن تعالي شوية الوطر المفروض ماتغيرش الوطر
+
+453
+00:42:26,370 --> 00:42:32,690
+المفروض ماتغيرش مين متغير صارت في هين ب x prime و
+
+454
+00:42:32,690 --> 00:42:39,220
+y primeممتاز ال R أشبه الشيرن لكن تعالى نحسبها
+
+455
+00:42:39,220 --> 00:42:44,300
+سيبقى من الشيرن وغيره لأن في عندي مثلث قائم الزاية
+
+456
+00:42:44,300 --> 00:42:49,920
+في عندي بلعين و I prime و X prime و في عندي زاية
+
+457
+00:42:49,920 --> 00:42:54,080
+نقطة بيتا زاية ثيتا مصبوط و عند الوطن خليني أسميه
+
+458
+00:42:54,080 --> 00:43:00,640
+Rاللي هو مادغيرش بالأساس، ولا لأ؟ طبعا قيمة X' جد
+
+459
+00:43:00,640 --> 00:43:03,980
+إيش تتساوي يا شباب؟ Y الجبل، X مزاين كزاين .. لأ
+
+460
+00:43:03,980 --> 00:43:08,040
+مش Y الجبل، مالك؟ كزاين .. مزاين الـB تتساوي؟ طيب،
+
+461
+00:43:08,040 --> 00:43:14,840
+الآن بما أنه عند الوطر وال X' تمثل المجاور، طبعا؟
+
+462
+00:43:14,840 --> 00:43:24,370
+كزاين الزاوية يساوي المجاور على الوطركزاين الزاوية
+
+463
+00:43:24,370 --> 00:43:31,310
+يساوي المجاور على الوطر قيمة الزاوية Beta زاوية
+
+464
+00:43:31,310 --> 00:43:38,330
+ثيتا معنى X prime تساوي R في كزاين Beta زاوية ثيتا
+
+465
+00:43:38,330 --> 00:43:42,290
+أو ثيتا زاوية بيتا مش قضية كتير، صح؟ طيب ال Y
+
+466
+00:43:42,290 --> 00:43:45,770
+prime قداش قيمتها؟ بما هي المقابل باستخدام الـSin
+
+467
+00:43:45,770 --> 00:43:57,120
+معنى مباشرة Y prime هي تساوي R في Sinفيتا وبيتا من
+
+468
+00:43:57,120 --> 00:44:01,160
+القوانين اللي مرضتوش تبلعوها في الآخر في جبه
+
+469
+00:44:01,160 --> 00:44:06,800
+الحساب المثلثات قانون جمل زويتين cosine فيتا زائد
+
+470
+00:44:06,800 --> 00:44:12,180
+فيتا يساوي cosine فيتا في cosine بيتا ناقص sin
+
+471
+00:44:12,180 --> 00:44:18,040
+فيتا في sin بيتا ناقص الإشارة ناقص الإشارة الان في
+
+472
+00:44:18,040 --> 00:44:25,130
+ال sinSin Cos Cos Sin مع بقية الإشارة كما هي
+
+473
+00:44:25,130 --> 00:44:31,070
+وبالتالي صارت أنا عند المعادلة وابحق و بجمع أكتبها
+
+474
+00:44:31,070 --> 00:44:39,690
+في الآخر ال R بالنسبة لنا معلومة مظبوط فلما بتكلم
+
+475
+00:44:39,690 --> 00:44:40,490
+على Sin
+
+476
+00:44:50,640 --> 00:44:56,630
+بالتالي انا بروح باستبدلها by x باخلص من الارفي
+
+477
+00:44:56,630 --> 00:45:01,630
+المعادلة زي متصفف NV X prime تساوي X في cosine
+
+478
+00:45:01,630 --> 00:45:09,290
+بيتا ناقص Y في sin بيتا Y تساوي Y prime تساوي X في
+
+479
+00:45:09,290 --> 00:45:13,730
+sin بيتا زاوية Y في cosine البيتا لاحظ ال beta هي
+
+480
+00:45:13,730 --> 00:45:18,390
+الزاوية اللي أعطانيها هبقى مهمني إيش الزاوية اللي
+
+481
+00:45:18,390 --> 00:45:22,910
+انطلق منها لأن بيهمني القياس الجديد تبعي فقط تبحك
+
+482
+00:45:22,910 --> 00:45:32,580
+و كأنك أنت إيشالموض تمام طيب كيف الموض خش على بعضه
+
+483
+00:45:32,580 --> 00:45:38,600
+طيب فهنا نشوف في الآخر المعادلة تبعتي كان مره ايه
+
+484
+00:45:38,600 --> 00:45:42,200
+يا شباب هذا المعادلة اللي انا بدي اياها وصار
+
+485
+00:45:42,200 --> 00:45:48,880
+اعتمادي الكل فيها على مين على يعني من الآخر صارت x
+
+486
+00:45:48,880 --> 00:45:58,170
+باين تساويx cos beta ناقص y في sin beta y prime
+
+487
+00:45:58,170 --> 00:46:06,310
+تساوي y في sin beta او عفوا x في sin beta x sin
+
+488
+00:46:06,310 --> 00:46:15,990
+beta زائد y cos beta جلبنا الإشارة و غيرنا العناصر
+
+489
+00:46:15,990 --> 00:46:20,510
+اللي موجودة عندي طبعا اللي بتكلم على مصحوفةصارت ال
+
+490
+00:46:20,510 --> 00:46:23,430
+coefficient تبع ال X هيها ال coefficient تبع ال Y
+
+491
+00:46:23,430 --> 00:46:35,130
+هيها مع الإشارة السلبة ماتنساش هذا لو
+
+492
+00:46:35,130 --> 00:46:40,350
+إذا قاللي مقدار ال rotation 90 درجة شباب لو كان
+
+493
+00:46:40,350 --> 00:46:46,770
+مقدار ال rotation 90 درجةبنجل على المحور التانى
+
+494
+00:46:46,770 --> 00:46:49,390
+بنجل على المحور التانى تعالى نشوف كيف بنجل على
+
+495
+00:46:49,390 --> 00:46:52,330
+المحور التانى وإذا كانت فيه المعادلة تبعت كوزاين
+
+496
+00:46:52,330 --> 00:47:01,690
+وصين كوزاين التسعين صفر صفت عند مين سالب Y في صين
+
+497
+00:47:01,690 --> 00:47:05,710
+التسعين واحد وهذا
+
+498
+00:47:07,200 --> 00:47:12,840
+X ساية تسعين واحد وكزاية هذه هتروح هتصف عندك X
+
+499
+00:47:12,840 --> 00:47:22,940
+prime تساوي سالب Y وY prime تساوي X وهذا هو
+
+500
+00:47:22,940 --> 00:47:25,480
+المقدار اللي هو أشبه بال reflection مش reflection
+
+501
+00:47:25,480 --> 00:47:33,560
+هو عبارة عن دوران النقطة اللي كانت هنا اتنين
+
+502
+00:47:33,560 --> 00:47:35,260
+وواحد هتصير
+
+503
+00:47:37,810 --> 00:47:46,290
+احد و اتنين صح المفروض تكون سالب سالب واحد و اتنين
+
+504
+00:47:46,290 --> 00:47:51,530
+هي
+
+505
+00:47:51,530 --> 00:47:55,130
+القياس تسعين درجة وهكذا بدك تكون في النقاط اللي
+
+506
+00:47:55,130 --> 00:48:00,210
+موجودة بمجرد ان انا اعرف النقاط او اعرف ازاي بتكون
+
+507
+00:48:00,210 --> 00:48:04,830
+الأمور او بقدر انتقل للعنصر اذا انا ذكرت المعادلة
+
+508
+00:48:04,830 --> 00:48:12,480
+السابقةنعم ممتاز
+
+509
+00:48:12,480 --> 00:48:15,280
+الان زميل اللي بيسأل لما بتكلملي على rotation
+
+510
+00:48:15,280 --> 00:48:22,640
+دائما مع عقارب الساعة عشان تتذكر هاي القياس تبعي
+
+511
+00:48:22,640 --> 00:48:28,660
+الان هاي المقطة تبعتي هيك هاي ثيتا لما جالي بيتا
+
+512
+00:48:28,660 --> 00:48:33,740
+قياسها معناته عكس عقارب الساعة هيك المفهوم ال
+
+513
+00:48:33,740 --> 00:48:42,550
+rotation تمامأه خلاص هو مجرد
+
+514
+00:48:42,550 --> 00:48:46,010
+يقولك اعملي rotation لازم يديك مقدار زاوية
+
+515
+00:48:46,010 --> 00:48:49,210
+rotation للشكل شوف انت احنا بنتكلم عن rotation
+
+516
+00:48:49,210 --> 00:48:52,590
+لنقطة واحدة يا شباب، مظبوط؟ rotation لنقطة واحدة
+
+517
+00:48:52,590 --> 00:48:55,550
+يعني ان انا بحرك نقطة، طب لو كان عندي مثلث، تخيل
+
+518
+00:48:55,550 --> 00:49:00,610
+هايه؟ تخيل هاي المثلث تبعي، قاعد الزاوية بالشكل
+
+519
+00:49:00,610 --> 00:49:00,890
+هذا
+
+520
+00:49:05,990 --> 00:49:09,870
+فاهم؟ و قلتلك اعمل rotation بزاوية مقدارها خمسة و
+
+521
+00:49:09,870 --> 00:49:14,950
+أربعين درجة بيبدأ تعمل rotation لتلت مطات خمسة و
+
+522
+00:49:14,950 --> 00:49:18,230
+أربعين درجة هذا تقريبا هنا حيجي وهذه هتيجي هنا
+
+523
+00:49:18,230 --> 00:49:23,770
+وهذهتكون الأسفل عشان تكون هذه الشكل المثلث لجديد
+
+524
+00:49:23,770 --> 00:49:29,350
+تبقى دائما عكس حقاري بالساعة ليش؟ لأن القياس تبقى
+
+525
+00:49:29,350 --> 00:49:34,530
+ايه؟ بيبدأ من عند ال X major من عند الصفر وبتبدأش
+
+526
+00:49:34,530 --> 00:49:39,370
+تعمل rotation أو تعمل الدوران الموجود عندها لكن
+
+527
+00:49:39,370 --> 00:49:42,130
+برضه في الآخر يا شباب عشان تكون صالحين انت ماعكاش
+
+528
+00:49:42,130 --> 00:49:45,340
+عمل بتهندسة في الامتحانتمام؟ عشان تفكر بالرسم
+
+529
+00:49:45,340 --> 00:49:49,860
+بالعين ولا بالعين كمان تاخد صفر لأنك تشتغل فيها
+
+530
+00:49:49,860 --> 00:49:53,760
+ديارت لأ نقاط لأ الآن في عندك اذا انا بديك ترسم
+
+531
+00:49:53,760 --> 00:49:57,880
+هزيبلك ال coordinates تمام اما تجيبلك ال ..
+
+532
+00:49:57,880 --> 00:50:01,920
+الكارتيل زي نبيان وقولك ارسم عليها ارسم عليها لكن
+
+533
+00:50:01,920 --> 00:50:05,800
+في الآخر انت فعلا مش بحاجة لمنجلة انت ببتك بس مصدر
+
+534
+00:50:05,800 --> 00:50:09,810
+عشان يهيبك عملية الحسابية تبعتكبصبورة وبناء عالية
+
+535
+00:50:09,810 --> 00:50:13,570
+بتحدد النقاط وبترسم الشكل اللي المفروض يطلع one
+
+536
+00:50:13,570 --> 00:50:18,190
+hundred percent true طيب اللي قاله ان ال rotation
+
+537
+00:50:18,190 --> 00:50:23,030
+تبع دي بدي يكون قياسه مش من ال origin point صفر
+
+538
+00:50:23,030 --> 00:50:29,920
+وصفر تبقى لنقطة معينة الآن شو بك تساوي؟بداك تثبت
+
+539
+00:50:29,920 --> 00:50:34,080
+النقطة الموجودة عندها بنفس القالية السابقة يا شباب
+
+540
+00:50:34,080 --> 00:50:37,320
+ولا اشي هيبغير فيها احنا لان كمان مرة في ال
+
+541
+00:50:37,320 --> 00:50:45,500
+transformation x prime تساوي x في cosine beta لاقص
+
+542
+00:50:45,500 --> 00:50:57,000
+y في sin beta y prime تساوي x في sin beta زائد yفي
+
+543
+00:50:57,000 --> 00:51:01,380
+cos beta هذه المعادلة الأساسية الان بيقول لثبت انا
+
+544
+00:51:01,380 --> 00:51:05,680
+ببيكون القياس تبعي او ال rotation تبعتي تبع لنقطة
+
+545
+00:51:05,680 --> 00:51:11,960
+الفلانية يعني انا بدي اجي هذه ال zero zero هي نقطة
+
+546
+00:51:11,960 --> 00:51:14,840
+الاصل تبعتي اللي من عندها ببيس لكن لو جالي واحد
+
+547
+00:51:14,840 --> 00:51:19,360
+واحد المعنى انه خلاليها نقطة الاصل ومن هنا بدي
+
+548
+00:51:19,360 --> 00:51:25,070
+احسب قياس الزجاج اللي تبعتيالان بنفس الخطوات
+
+549
+00:51:25,070 --> 00:51:32,330
+السابقة الخطوة الأولى استبدل كل X ب X ناقص بي X و
+
+550
+00:51:32,330 --> 00:51:38,650
+اجمعها بي X واقتصر المعادلة اللى هتصير في اندي بس
+
+551
+00:51:38,650 --> 00:51:42,510
+بدي استبدل X لو بدي استبدل ال Y تبعتي هتصفر
+
+552
+00:51:42,510 --> 00:51:48,410
+المعادلة اندي القيم الأساسية ومقدار
+
+553
+00:51:49,420 --> 00:51:55,520
+هي مقدار الإزاحة تبع النقطة تبع نقطة بي اكس بي واي
+
+554
+00:51:55,520 --> 00:51:59,440
+هتصف بي اكس مضغوبة في واحد نقص كوزاين بيتا زائد بي
+
+555
+00:51:59,440 --> 00:52:04,960
+واي في ساين بيتا ضرحنا هذه بواحد ودربناها في البي
+
+556
+00:52:04,960 --> 00:52:10,560
+واي مباشرة الآن بقدر اعمل rotation تبع نقطة معينة
+
+557
+00:52:10,560 --> 00:52:14,300
+هذه اثباتها في الكتاب او في ال slide زي انت حابب
+
+558
+00:52:14,300 --> 00:52:20,360
+تستزيد يعني لو راح جلي على سبيل المثالأنا بدي أعمل
+
+559
+00:52:20,360 --> 00:52:24,640
+rotation مقدار 90 درجة من النقطة واحد وواحد يا علي
+
+560
+00:52:24,640 --> 00:52:33,760
+من النقطة واحد وواحد شو بقى تساوي يا علي بتتبت
+
+561
+00:52:33,760 --> 00:52:38,060
+النقطة واحد واحد كده كتبتها هيبقى عدلتها cosine
+
+562
+00:52:38,060 --> 00:52:46,610
+ديتا كزاية التسعين صفر ساية التسعينOkay في سالب
+
+563
+00:52:46,610 --> 00:52:54,890
+سالب واحد الان Bx واحد واحد نقص صفر واحد واحد
+
+564
+00:52:54,890 --> 00:52:59,550
+خلصنا واحد في واحد واحد واحد زائد لان واحد في سالب
+
+565
+00:52:59,550 --> 00:53:06,810
+تسعين واحد مع انتصار اتهان اتنين وهذه نقص واحد صفر
+
+566
+00:53:06,810 --> 00:53:12,890
+نقص واحد اتنين سالب تسعين واحد كزالب تسعين صفر
+
+567
+00:53:12,890 --> 00:53:24,650
+وهذه واحدواحد ماقس واحد صفر وفي الآخر صفر صفر واحد
+
+568
+00:53:24,650 --> 00:53:28,010
+وهذه المعادلة لما كنت اعمل rotation لتسعين درجة
+
+569
+00:53:28,010 --> 00:53:37,050
+فعلى الأقل انت بحاجة تحفظ المصفوفة هاي عشان
+
+570
+00:53:37,050 --> 00:53:40,870
+لما تقول اعمل rotation لمقدار زاوية معينة تبقى على
+
+571
+00:53:40,870 --> 00:53:49,840
+نقطة معينة تشتغل هذهأو احنا نظرنا للمعادلات او
+
+572
+00:53:49,840 --> 00:53:54,880
+للشغل السادر كل حياته و ايه علاقة المصفوفات لو
+
+573
+00:53:54,880 --> 00:53:59,480
+حبيت اذكرك انا بدي اعمل translation بمقدار bx by
+
+574
+00:53:59,480 --> 00:54:07,500
+بدي اعمل translation بمقدار a bx by كيف المصفوفة
+
+575
+00:54:07,500 --> 00:54:17,060
+تبعتي هتكون؟ واحد صفربيكس صفر واحد بي واي صفر صفر
+
+576
+00:54:17,060 --> 00:54:23,300
+واحد فلو انا حبيت اعمل scaling لو حبيت اعمل
+
+577
+00:54:23,300 --> 00:54:32,680
+scaling تبع للنقطة بيكس بي واي أيوة scaling لا لا
+
+578
+00:54:32,680 --> 00:54:41,920
+scaling scaling اول حاجة عندي هان Sx صفرفي BX في
+
+579
+00:54:41,920 --> 00:54:46,660
+واحد ناقص SX هدا هتبقى على نقطة معينة، مصبوط؟
+
+580
+00:54:46,660 --> 00:54:51,740
+خلّيني الآن نتكلم ع اسكليم بحالها ولأ ليش المفروض
+
+581
+00:54:51,740 --> 00:54:55,760
+أن أنا أضيف فهم؟
+
+582
+00:54:55,760 --> 00:55:03,740
+Zero Zero Zero Sy Zero Zero Zero واحد طيب، في
+
+583
+00:55:03,740 --> 00:55:09,890
+الآخر الخطوات اللي أنا كنت أسويها يا شبابكنت بعمل
+
+584
+00:55:09,890 --> 00:55:12,710
+translation و بعدين بعمل scaling و بعدين بروح و
+
+585
+00:55:12,710 --> 00:55:15,670
+برجع بعمل translation بالعكس لما يكون ال
+
+586
+00:55:15,670 --> 00:55:32,650
+translation بالسالب و لا يعني و كأنه القيم هذه لو
+
+587
+00:55:32,650 --> 00:55:36,790
+قلتلك المصففات هذه و حصلت ضربها في بعضها
+
+588
+00:55:39,900 --> 00:55:47,460
+ماذا ستفعل في الآخر؟ هذه ستلغي تأثير اللي فوق تلغي
+
+589
+00:55:47,460 --> 00:55:52,580
+تأثير اللي فوق عشان فعليا تثبت ال element في مكانه
+
+590
+00:55:52,580 --> 00:55:59,760
+الصحيح تثبته هو فعليا هي بس ال scaling بس عشان ال
+
+591
+00:55:59,760 --> 00:56:06,140
+scaling تبقى على نقطة يعني بغير ايش بيكس في واحد
+
+592
+00:56:06,140 --> 00:56:12,940
+ماقص SXBY مضروبة في واحد ناقص BY هي فعليا انا طبقت
+
+593
+00:56:12,940 --> 00:56:18,660
+الخطوات لما كنت انا بقولك اطرح او استبدل كل X X
+
+594
+00:56:18,660 --> 00:56:25,040
+ناقص BX انا بعمل كنت بعمل translation لمين للنقطة
+
+595
+00:56:25,040 --> 00:56:28,720
+لعملها ال translation بعدين اعملتلها scaling تمام
+
+596
+00:56:28,720 --> 00:56:33,270
+و لما روحت قولتلكبفعلها بي اكس بمهم ان انا عملت
+
+597
+00:56:33,270 --> 00:56:37,090
+كمان مرة translation بس ال translation معاكسة للي
+
+598
+00:56:37,090 --> 00:56:39,870
+صارت في الأول عشان أحافظ انه الإزاحة اللي عملها
+
+599
+00:56:39,870 --> 00:56:44,410
+الشكل ترجع لل position تباعتها بشكل صحيح فهذه هي
+
+600
+00:56:44,410 --> 00:56:48,190
+كانت التلات خطوات اللي احنا فعليا بنشتغل عليهم مع
+
+601
+00:56:48,190 --> 00:56:53,970
+بعض تبع للنقطة بالنسبة لل reflection لل reflection
+
+602
+00:56:56,680 --> 00:56:59,940
+عشان احكم على ال Y-axis و لل rotation هذه العناصر
+
+603
+00:56:59,940 --> 00:57:04,240
+المفروض ان احنا بنتكلم الآن على ال 3D
+
+604
+00:57:04,240 --> 00:57:09,080
+Transformation شباب مش هنضيف شغلة جديدة بس المصممة
+
+605
+00:57:09,080 --> 00:57:13,220
+طبعا انها تكبر هتصير 4x4 و بنفس ال concept بس
+
+606
+00:57:13,220 --> 00:57:17,640
+المحاضرة الجاية لأ المحاضرة الجاية فيها مادتها ان
+
+607
+00:57:17,640 --> 00:57:20,300
+شاء الله فعشر دقايق هيك اتبدي منكوا
+
+608
+00:57:29,640 --> 00:57:32,460
+طيب في موضوع الـ Translation في الـ 3D، أيش اللي
+
+609
+00:57:32,460 --> 00:57:33,240
+حدث لك بحاجة؟
+
+610
+00:57:35,900 --> 00:57:39,460
+هتزيد الزبد ك one dimension هتصير بالله x prime و
+
+611
+00:57:39,460 --> 00:57:46,320
+y prime و زبد prime على المصفوفة تبعتي هصير
+
+612
+00:57:46,320 --> 00:57:48,740
+المصفوفة تبعتي اربعة فاربعة لان هجيب ال
+
+613
+00:57:48,740 --> 00:57:54,120
+homogeneous coordinate تبع النقطة تبعتي x y و زبد
+
+614
+00:57:54,120 --> 00:58:00,320
+ال homogeneous point تبعتها x y و زبدو واحد فهتصير
+
+615
+00:58:00,320 --> 00:58:05,120
+عندى في ال 4D و هيك بتصير المصفوفة تبعتي اربعة في
+
+616
+00:58:05,120 --> 00:58:10,140
+اربعة الصف الأخيرة اللى فيها صفر صفر واحد طيب لان
+
+617
+00:58:10,140 --> 00:58:17,060
+لما بدي اعمل translation كيف شكل المصفوفة هي اربعة
+
+618
+00:58:17,060 --> 00:58:27,040
+في اربعة ل translation ازاحة واحد صفر صفر تي اكس
+
+619
+00:58:28,020 --> 00:58:37,760
+صفر واحد صفر تي واحد صفر صفر واحد تي زد صفر صفر
+
+620
+00:58:37,760 --> 00:58:44,140
+صفر واحد وهادي بده تندرب في X Y و Z و واحد عشان
+
+621
+00:58:44,140 --> 00:58:48,660
+احصل على ال mean point او ال transforms اللي موجود
+
+622
+00:58:48,660 --> 00:58:51,520
+عندي اش فيه صعب؟
+
+623
+00:58:54,600 --> 00:58:59,020
+فكر المصفوفة بديك تاخد عناصر لما اجيب اقولك النقطة
+
+624
+00:58:59,020 --> 00:59:05,660
+الان النقطة واحد و تلاتة و خمسة بدينا نعملها
+
+625
+00:59:05,660 --> 00:59:13,580
+translation بمقدار X prime لتساوي X زائد اتنين Y
+
+626
+00:59:13,580 --> 00:59:20,260
+prime لتساوي Y و Z prime لتساوي Z زائد واحد اعمل
+
+627
+00:59:20,260 --> 00:59:23,730
+ال translation بدون مفهوم المصفوفة يا صاحبيهذه
+
+628
+00:59:23,730 --> 00:59:33,890
+المقضار اللي صارت هي مقدار
+
+629
+00:59:33,890 --> 00:59:38,350
+الإزاحة لما يكون ال object تبعي في ال 3D طبعا
+
+630
+00:59:38,350 --> 00:59:44,170
+مستحيل أقولك أرسمه ليش؟لأن الورقة هو انا برسم في
+
+631
+00:59:44,170 --> 00:59:48,710
+ال 2D فبالتالي بس المعادلة هي نقاط و تروح تعملها
+
+632
+00:59:48,710 --> 00:59:53,570
+عشان طيب لو انا اجرب قلتلك على المعادلة هذه هي قيم
+
+633
+00:59:53,570 --> 00:59:56,410
+ال translation كداش القيم عندها في ال translation
+
+634
+00:59:56,410 --> 01:00:07,750
+يا شباب اتنين صفر واحد الان اديتك المصفوفة قلتلك
+
+635
+01:00:07,750 --> 01:00:09,290
+المصفوفة هذه هي قيم ال translation
+
+636
+01:00:12,180 --> 01:00:16,640
+مصفوفة هذه بتعمل translation اعمله او هاتد المتين
+
+637
+01:00:16,640 --> 01:00:23,640
+جتبك لل translation ربش واحد واحد ثلاثة خمسة واحد
+
+638
+01:00:26,470 --> 01:00:32,290
+واحد في خمسة واحد في واحد زات صفر في تلاتة صفر في
+
+639
+01:00:32,290 --> 01:00:37,270
+خمسة و اتنين في واحد تلاتة ماشي لسات اكس زات اتنين
+
+640
+01:00:37,270 --> 01:00:41,030
+هي كمصفوفة في الآخر لو انت بتطبق المصفوفة بدون ان
+
+641
+01:00:41,030 --> 01:00:46,970
+تفكر تكتب المعادلة الصف التاني صفر تلاتة صفر صفر
+
+642
+01:00:46,970 --> 01:00:54,740
+اللي بعده صفر صفر خمسة واحد ستةصفر صفر صفر و واحد
+
+643
+01:00:54,740 --> 01:00:58,500
+في واحد واحد وهذا هي معناته ال point تبعتي تلاتة و
+
+644
+01:00:58,500 --> 01:01:04,320
+تلاتة لأ ال واحد مش ال point الواحد هذا لل
+
+645
+01:01:04,320 --> 01:01:13,680
+homogeneous coordinates تمام ال scaling ال scaling
+
+646
+01:01:13,680 --> 01:01:20,020
+SXSYSZ
+
+647
+01:01:21,080 --> 01:01:25,860
+واذا انا ضفت عليهم نقطة يعني اتبقت النقطة اللي
+
+648
+01:01:25,860 --> 01:01:34,820
+بتعمل إليها scaling هتصير PX في 1-SX PY 1-SY PZ-1
+
+649
+01:01:34,820 --> 01:01:38,660
+1-P أو ناقص SZ
+
+650
+01:01:41,240 --> 01:01:44,500
+يعني كل الفكرة كمان مرة يا شباب،
+إنه أنا المحور
+
+651
+01:01:44,500 --> 01:01:48,320
+الجديد أعمل على زيادة حجم الـDimension، تبع
+
+652
+01:01:48,320 --> 01:01:52,280
+الـReta بقعد صارت 4×4، لكن مع نفس تطبيق الفكرة
+
+653
+01:01:52,280 --> 01:01:56,340
+السابقة. أصعبهم، عشان يكونوا طبيعيين معاك وصادقين
+
+654
+01:01:56,340 --> 01:02:01,100
+معاك، حكاية إيش؟ الـRotation. ليش؟ لأن
+
+655
+01:02:01,100 --> 01:02:04,960
+الـRotation، أنا في الأول كنت مع أو ضد عقارب
+
+656
+01:02:04,960 --> 01:02:11,190
+الساعة، في الـ2D، بس الآن، مع كلمنت في التجاهة
+
+657
+01:02:11,190 --> 01:02:13,570
+التالت لغاية عمل زاوية جديدة يعني انا حاصر اتكلم
+
+658
+01:02:13,570 --> 01:02:18,850
+عليها زاويتين غير ال theta اللي موجودة عندي
+
+659
+01:02:18,850 --> 01:02:22,370
+وبالتالي لما انا بدأ اتكلم rotation حوالين ال X
+
+660
+01:02:22,370 --> 01:02:30,430
+axis هيو rotation حوالين ال Y axis ال Y بيثبت و ال
+
+661
+01:02:30,430 --> 01:02:35,010
+X و ال Z هم اللي بتغيروا و rotation حوالين ال Z
+
+662
+01:02:35,010 --> 01:02:40,040
+axisمعناته الزبدة هتثبت و ال Y و ال X يعني دائما
+
+663
+01:02:40,040 --> 01:02:45,240
+هصير الزايتين محصورات بين طلعين او بين محورين اخر
+
+664
+01:02:45,240 --> 01:02:48,200
+حاجة في محاضرة اليوم عشان مديش اتجل اكتر من كده
+
+665
+01:02:48,200 --> 01:02:53,720
+عليكم الان الدوران الدوران بما انه بدي يثبت هو
+
+666
+01:02:53,720 --> 01:02:57,220
+محورين او يعرف انه يثبت محور و يشتغل على محورين
+
+667
+01:02:57,220 --> 01:03:03,540
+فرح اطلق عليهم تسميات جالك لو كان الدوران ما بين
+
+668
+01:03:04,340 --> 01:03:11,380
+الـ X و الـ Y بمعنى الـ Z ثابت هل بتسميها roll؟
+
+669
+01:03:11,380 --> 01:03:18,340
+roll لو ثبت ال X و كانت دوران بين Y و Z سماليها
+
+670
+01:03:18,340 --> 01:03:26,460
+patch و لو ثبت ال X ال Y عفوا و صارت دوران بين ال
+
+671
+01:03:26,460 --> 01:03:31,720
+Z و ال X سماليا اليهو وبالتالي معادلاتهم هيهم
+
+672
+01:03:38,340 --> 01:03:43,980
+هأبقى الـ slide مهمة ومهمة جدا لإيش؟ لأنه لو أنا
+
+673
+01:03:43,980 --> 01:03:48,400
+بدى أسألك أقولك أنه في عندك دي نقطة قيمتها واحد
+
+674
+01:03:48,400 --> 01:03:53,340
+واثنين وثلاثة واحد واثنين وثلاثة ودى بتروح اتبقتلك
+
+675
+01:03:53,340 --> 01:03:57,700
+بتروح عملها rotation بيه تلاتين درجة
+
+676
+01:04:05,830 --> 01:04:12,510
+اليوم ايش اليوم مباشرة معناته هو ثبت ثبت ال X
+
+677
+01:04:12,510 --> 01:04:17,770
+واشتغل الدوران ما بين ال Y و ال Z ما بين ال Y و ال
+
+678
+01:04:17,770 --> 01:04:24,390
+Z ثبت ال Y ثبت
+
+679
+01:04:24,390 --> 01:04:31,950
+ال Yواشتغل بين الـ Z و ال X عشان تقدر تحفظ
+
+680
+01:04:31,950 --> 01:04:36,130
+المعادلة هيك فالتصميمات هذه مهمة ومهمة .. يعني أهم
+
+681
+01:04:36,130 --> 01:04:39,690
+شغلة في الـ 3D هي حكاية الـ Rotation لأن هي ليش
+
+682
+01:04:39,690 --> 01:04:43,970
+كبرت اما بين ذلك ماصارش فيه ولا حاجة المحاضرة اللي
+
+683
+01:04:43,970 --> 01:04:45,810
+جاي بنبدأ من عنده النقطة هي ان شاء الله تعالى
+
+684
+01:04:45,810 --> 01:04:50,470
+بمثال بإذن الله الله عز وجل عافى يا شباب
+
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/xf-ECGDEVZs.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/xf-ECGDEVZs.srt
new file mode 100644
index 0000000000000000000000000000000000000000..5cc5183caf068b9c0db3f3730a28faf78471dd1c
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/xf-ECGDEVZs.srt
@@ -0,0 +1,1755 @@
+1
+00:00:21,190 --> 00:00:23,630
+بسم الله والحمد لله والصلاة والسلام على رسول الله
+
+2
+00:00:23,630 --> 00:00:27,830
+اليوم إن شاء الله يا شباب بنختم الـ chapter الـ
+
+3
+00:00:27,830 --> 00:00:33,350
+vectors التطبيقين على الـ cross product اللي هي 
+
+4
+00:00:33,350 --> 00:00:39,730
+أهمهم حساب الـ area للـ polygon استخدام الـ cross
+
+5
+00:00:39,730 --> 00:00:42,650
+product لكن بشكل عام إن  ذكرك إحنا وقعدنا كنا واقفين
+
+6
+00:00:42,650 --> 00:00:47,510
+آخر المحاضرات كنا بنتكلم على الـ vector product ضرب
+
+7
+00:00:47,510 --> 00:00:51,810
+المتجهات وقلنا في ضرب المتجهات أنا في عندي نوعين
+
+8
+00:00:51,810 --> 00:00:56,150
+من الضرب في المتجهات في عند الـ scalar product اللي 
+
+9
+00:00:56,150 --> 00:00:59,610
+بينتج عنه قيمة scalar وفي عند الـ cross product
+
+10
+00:00:59,610 --> 00:01:06,110
+اللي بتنتج عنه متجه بنتج عنه متجه وقلنا بشكل عام 
+
+11
+00:01:07,790 --> 00:01:10,130
+في الـ cross product هنا أو عفوا في الـ scalar
+
+12
+00:01:10,130 --> 00:01:13,630
+product أنا بحسب الـ magnitude للـ two vectors و
+
+13
+00:01:13,630 --> 00:01:17,510
+بحسب الزاوية اللي بينهم لكن أحيانا الزاوية
+
+14
+00:01:17,510 --> 00:01:20,390
+ما بتكونش موجودة عندي أحيانا ما بتكونش الزاوية
+
+15
+00:01:20,390 --> 00:01:26,110
+موجودة عندي وبتكون هي مطلوب السؤال فقلنا بنلجأ 
+
+16
+00:01:26,110 --> 00:01:31,570
+ لتمثيل الـ vectors على أن الـ R بده تساوي A وB وC
+
+17
+00:01:31,570 --> 00:01:34,830
+و
+
+18
+00:01:34,830 --> 00:01:42,640
+الـ S بتساوي D E F هذه المعادلة كلها تتساوي
+
+19
+00:01:55,340 --> 00:01:59,200
+بالتالي تمثيل الـ vector أو وجود الـ vector بصورته 
+
+20
+00:01:59,200 --> 00:02:03,260
+المتجهية الحقيقية بعيدا عن كارتيزيا الـ vector مهمة
+
+21
+00:02:03,260 --> 00:02:08,040
+وكذلك لو كنا عاملين الـ vector شباب هيك R بدها تساوي 
+
+22
+00:02:08,040 --> 00:02:12,920
+ai بزايد bj بزايد ck
+
+23
+00:02:19,830 --> 00:02:26,330
+EJ زائد FK يعني عاملين المتجهين على أنهم Cartesian
+
+24
+00:02:26,330 --> 00:02:30,050
+product إيش اللي هتتغير عندي؟ ولا حاجة التمثيل الـ
+
+25
+00:02:30,050 --> 00:02:35,890
+vector هو فقط اللي بتتغير A في D زائد BE زائد C في 
+
+26
+00:02:35,890 --> 00:02:40,490
+F ولما جينا نتكلم على وبقول هنا في تطبيقين مهندس 
+
+27
+00:02:40,490 --> 00:02:44,640
+جدا الـ Line Intensity أو Light Intensity كتابة 
+
+28
+00:02:44,640 --> 00:02:50,140
+الضوء والـ Back Face Detection كتابة تطبيقات لـ
+
+29
+00:02:50,140 --> 00:02:54,900
+Scalar Product ولما انتقلنا باتكلم على الـ
+
+30
+00:02:54,900 --> 00:02:58,480
+Cartesian Product أو عفوا على الـ Cross Product
+
+31
+00:02:58,480 --> 00:03:02,420
+قلت أنا بدي أنظر للمسألة وأقيمها على فرض بالشكل
+
+32
+00:03:02,420 --> 00:03:02,780
+هذا
+
+33
+00:03:06,010 --> 00:03:14,590
+T بتساوي R X S هو عبارة عن متجه متعمد على المتجهين
+
+34
+00:03:14,590 --> 00:03:19,110
+R وS فدي واحد المجنتيوت تبعته بدها تساوي 
+
+35
+00:03:19,110 --> 00:03:22,450
+المجنتيوت R مجنتيوت الـ S في sign الزاوية اللي
+
+36
+00:03:22,450 --> 00:03:28,470
+بينهم طيب كمتجه هو إيش كانت قيمته كمتجه إيش كانت 
+
+37
+00:03:28,470 --> 00:03:32,370
+قيمته أتخيلها كانها determinant
+
+38
+00:03:35,580 --> 00:03:43,760
+وJ وK في الصف الأول بعد هيك A B C في الصف الثاني
+
+39
+00:03:43,760 --> 00:03:50,820
+بعد هيك D وE وF في الصف الثالث حل الـ determinant 
+
+40
+00:03:50,820 --> 00:03:55,920
+هذا باستخدامك للصف الأول حل الـ determinant
+
+41
+00:03:55,920 --> 00:04:02,700
+باستخدامك للصف الأول B
+
+42
+00:04:02,700 --> 00:04:04,920
+F ناقص 
+
+43
+00:04:11,710 --> 00:04:23,570
+CEI-AF-CDJAE
+
+44
+00:04:23,570 --> 00:04:29,130
+-DDK
+
+45
+00:04:29,130 --> 00:04:34,650
+وهذا هو المتجه إنها تجعلنا من الـ cross الـ product
+
+46
+00:04:34,650 --> 00:04:43,730
+وهذا كان ملخص درب المتجهات أو درب المتجهات بشكل 
+
+47
+00:04:43,730 --> 00:04:57,630
+عام كنا
+
+48
+00:04:57,630 --> 00:05:04,170
+خلصنا إحنا من موضوع درب بدنا نيجي له قال لي طبعا
+
+49
+00:05:04,170 --> 00:05:08,650
+زي ما حكينا في عنه تطبيقات مهمة إذا بتتذكر لما كنا
+
+50
+00:05:08,650 --> 00:05:14,930
+بنتكلم عن الـ light intensity أو كثافة الضوء على
+
+51
+00:05:14,930 --> 00:05:20,520
+السطح كان بالزمن دائما أجيب vector عمودي كان
+
+52
+00:05:20,520 --> 00:05:24,780
+بيجيبني دائما أجيب vector عمودي على النقطة في
+
+53
+00:05:24,780 --> 00:05:27,960
+المثال اللي إحنا اشتغلنا عليه جنن إن كان ورم 
+
+54
+00:05:27,960 --> 00:05:32,980
+vector هاي قيمته إيدالية صفر عشرة صفر كانت قيمته
+
+55
+00:05:32,980 --> 00:05:38,340
+طيب لو ما كانش يعطيني إياه هل في مجال أنا أجيب هل في
+
+56
+00:05:38,340 --> 00:05:41,600
+مجال أنا أجيب الـ vector هذا؟ خليني أرجع معك لحظات
+
+57
+00:05:41,600 --> 00:05:42,660
+بس للمثال السابق
+
+58
+00:05:51,130 --> 00:05:56,350
+عفوا.. واحد قال لي هاي الـ vector إن قال لي هذا
+
+59
+00:05:56,350 --> 00:06:00,070
+vector normal اتفاقنا الشباب normal vector يعني
+
+60
+00:06:00,070 --> 00:06:03,470
+vector عمودي متعامد على السطح اللي أنت بتتكلم عليه
+
+61
+00:06:03,470 --> 00:06:08,950
+unit مقباره قيمة واحدة فقال لي هايه طب لو هذا 
+
+62
+00:06:08,950 --> 00:06:12,570
+المتجه ما كانش موجود عندي هل بقدر أنا أجيب متجه
+
+63
+00:06:12,570 --> 00:06:16,370
+متعامد لو راح إداني على سبيل المثال عليه قال لي
+
+64
+00:06:16,370 --> 00:06:21,950
+أنت هاي فيه عندك مثلث نقطة المثلث بي واحد بي اثنين
+
+65
+00:06:21,950 --> 00:06:31,230
+بي ثلاثة وبدك تحسب لشدة الضوء على المثلث هذا بدك 
+
+66
+00:06:31,230 --> 00:06:34,010
+تسقط العمود على أي نقطة كده تسقط على أي نقطة يا
+
+67
+00:06:34,010 --> 00:06:40,190
+خضراء إيه بدك تفترض إن في عندي بالعين من العضلات
+
+68
+00:06:40,190 --> 00:06:44,290
+المثلث هم المتجهات بدك تفترض إن والله هاي هاد ع
+
+69
+00:06:44,290 --> 00:06:49,090
+سبيل المثال الـ S وما ده هو الـ R والثاني من التقيم
+
+70
+00:06:49,090 --> 00:06:55,190
+دلتان تحسب كل واحد تجيب قيمته as a vector الأصل 
+
+71
+00:06:55,190 --> 00:07:03,910
+إيش بتسوي شباب X واحد ماينص X اثنين Y واحد ماينص Y 
+
+72
+00:07:03,910 --> 00:07:10,150
+اثنين ولو كان في الـ 3D Z واحد ماينص Z اثنين هاي الـ 
+
+73
+00:07:10,150 --> 00:07:12,510
+vector الأول الـ R
+
+74
+00:07:21,260 --> 00:07:26,020
+الآن الـ R X
+
+75
+00:07:26,020 --> 00:07:32,040
+ثلاثة ناقص X اثنين Y ثلاثة ناقص Y اثنين
+
+76
+00:07:34,610 --> 00:07:38,490
+زد اثنين ممتاز هاي اللي حصلت على الـ vectors مصبوط
+
+77
+00:07:38,490 --> 00:07:41,450
+اللي أنا بقدر أمثلهم as a cartesian vector القيمة
+
+78
+00:07:41,450 --> 00:07:45,830
+هذه مضروبة في I وهذه في J وهذه في K الـ cross
+
+79
+00:07:45,830 --> 00:07:47,670
+product بين الـ R والـ S
+
+80
+00:07:50,690 --> 00:07:55,890
+حاطيني vector متعامد على 
+
+81
+00:07:55,890 --> 00:07:58,890
+المثلث هذا أو فوق النقطة دي اللي هي الملتقى
+
+82
+00:07:58,890 --> 00:08:02,910
+المتجهين اللي عندي وبالتالي أنا بقدر أشتغل وأجيب
+
+83
+00:08:02,910 --> 00:08:08,790
+هذا الكلام متعامد
+
+84
+00:08:08,790 --> 00:08:11,470
+اوكي بردناهم في بعض وجبنا الـ vector المتعامد حسب
+
+85
+00:08:11,470 --> 00:08:16,530
+القانون الكتاب اللي قبل شوية لو كان unit بكون أحسن
+
+86
+00:08:16,530 --> 00:08:22,030
+أو أحسن بقدر أحوله لـ unit vector عشان عن طريق نحسب 
+
+87
+00:08:22,030 --> 00:08:26,610
+الـ magnitude تبعته ونقسم عناصر تبعت الـ vector هذا 
+
+88
+00:08:26,610 --> 00:08:31,050
+على قيمة الـ magnitude بكون حصلت على unit normal
+
+89
+00:08:31,050 --> 00:08:34,450
+vector متعامد على النقطة اللي موجودة عندي هنا تمام
+
+90
+00:08:34,450 --> 00:08:38,010
+معناته
+
+91
+00:08:38,010 --> 00:08:44,070
+أول تطبيق عندي أنا هنا للـ cross product إنه أنا 
+
+92
+00:08:44,070 --> 00:08:49,870
+فعليا ممكن أستخدمه من أجل أحط متطلبات مثل مثل هذه
+
+93
+00:08:49,870 --> 00:08:53,050
+مثل مثل هذه مثل مثل مثل مثل مثل مثل مثل مثل 
+
+94
+00:08:53,050 --> 00:08:54,490
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل 
+
+95
+00:08:54,490 --> 00:08:54,990
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل 
+
+96
+00:08:54,990 --> 00:08:55,230
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+97
+00:08:55,230 --> 00:09:00,090
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل 
+
+98
+00:09:00,090 --> 00:09:00,110
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+99
+00:09:00,110 --> 00:09:05,170
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+100
+00:09:05,170 --> 00:09:12,340
+مثل مث unit مقدار المجموعة تبعته واحدة واحدة normal 
+
+101
+00:09:12,340 --> 00:09:18,300
+متعاند unit normal vector for a triangle لأي
+
+102
+00:09:18,300 --> 00:09:22,640
+مثلث؟ لأي مثلث؟ الآن أنا افترضت إن هي المثلث 
+
+103
+00:09:22,640 --> 00:09:32,800
+المظلل بين B1 وB2 ونقطة الثالثة B3 بدي
+
+104
+00:09:32,800 --> 00:09:36,670
+أجيب الـ vector المتعاند هنا يا شباب بدي أجيب الـ T
+
+105
+00:09:36,670 --> 00:09:41,550
+الـ T vector متعاند Normal وبعدين المرحلة الثانية 
+
+106
+00:09:41,550 --> 00:09:45,790
+بدي أحسبه الـ magnitude عشان أحوله لـ unit vector
+
+107
+00:09:45,790 --> 00:09:51,850
+كيف نحلها أنا هاي مديلي اهو قيمة الـ R ومديلي 
+
+108
+00:09:51,850 --> 00:10:01,110
+اثنين الـ S بقى عليها أروح أضرب أضبط T تساوي 
+
+109
+00:10:07,160 --> 00:10:18,380
+واحد في اثنين ناقص صفر في K اثنين I ناقص قبل K
+
+110
+00:10:18,380 --> 00:10:23,560
+يعني بالان نحتفظ هدول مش موجودات فكيف نتعامل معاهم 
+
+111
+00:10:23,560 --> 00:10:31,120
+سالب واحد في اثنين سالب اثنين ناقص صفر سالب اثنين
+
+112
+00:10:31,120 --> 00:10:36,640
+J وعندي سالب اثنين J
+
+113
+00:11:04,550 --> 00:11:05,950
+جيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجي
+
+114
+00:11:08,160 --> 00:11:16,480
+عشان هيك طيب أعد تاني قلنا يا صاحبي بس خليني آجي 
+
+115
+00:11:16,480 --> 00:11:21,520
+هنا شوية قلنا أي متجه إحنا لو كتبناها أي متجه R
+
+116
+00:11:21,520 --> 00:11:30,820
+يساوي A وB وC هاد كتبناها قبل لحظات وS تساوي D وE
+
+117
+00:11:30,820 --> 00:11:37,570
+وF هدول المتجهين إذا أنا بدي أضربهم في بعض كـ cross 
+
+118
+00:11:37,570 --> 00:11:41,690
+product ضرب متجهين بيعطيني vector اسمه T والـ
+
+119
+00:11:41,690 --> 00:11:47,430
+vector هذا متعاند عليهم بحيث إنه هذه المراكبة 
+
+120
+00:11:47,430 --> 00:11:52,910
+الأولى I التي بتجاه الـ X axis وهذه الـ J بتجاه الـ Y
+
+121
+00:11:52,910 --> 00:11:58,310
+axis وهذه الـ K بتجاه الـ Z وهذين سميناهم Cartesian
+
+122
+00:11:58,310 --> 00:12:03,690
+vectors يعني أنا بقدر أكتبه بالشكل هذا A في I زائد B
+
+123
+00:12:03,690 --> 00:12:07,110
+في J زائد C في K الـ vector اللي عندي لما أنا بحصل
+
+124
+00:12:07,110 --> 00:12:12,130
+ضربهم يقولنا بكل بساطة بكل بساطة بروح الآن هجيب
+
+125
+00:12:12,130 --> 00:12:16,730
+قيمة الـ I لها بخفي 
+
+126
+00:12:16,730 --> 00:12:27,750
+الـ I وبضرب B في F ناقص B F ناقص CE في I ناقص
+
+127
+00:12:29,520 --> 00:12:34,380
+القيمة الثانية في الـ J بخبّ الـ J A في F مقص DC
+
+128
+00:12:34,380 --> 00:12:38,140
+في
+
+129
+00:12:38,140 --> 00:12:42,500
+الـ J زائد القيمة الأخيرة في الـ K بخبّ عناصر الـ
+
+130
+00:12:42,500 --> 00:12:50,460
+K A E مقص BD اللي أنا لما مثلت عليها أو حولت 
+
+131
+00:12:50,460 --> 00:12:53,060
+رسمك فيها بشكل سريع وقلت لك أتخيل إن هي
+
+132
+00:12:53,060 --> 00:13:03,990
+determinant I عفوا I وJ وK A B C D E F وحل الـ
+
+133
+00:13:03,990 --> 00:13:07,290
+determinant هذا باعتمادك على الصف الأول بتجيب 
+
+134
+00:13:07,290 --> 00:13:11,270
+المعادلة اللي موجودة عندها فإحنا مباشر روحنا جبنا
+
+135
+00:13:11,270 --> 00:13:16,290
+القيم اللي موجودة وبالتالي صارت T عندي هنا تساوي
+
+136
+00:13:16,290 --> 00:13:26,650
+2I زائد 2J زائد K الآن الـ vector هي موجود عندي
+
+137
+00:13:26,650 --> 00:13:28,710
+وهذا الـ vector متعاند
+
+138
+00:13:31,130 --> 00:13:34,690
+على الـ two vectors أو على السطح اللي شكل الـ two
+
+139
+00:13:34,690 --> 00:13:39,630
+vectors على نقطة الـ T سبعتهم تمام وبالتالي أنا
+
+140
+00:13:39,630 --> 00:13:47,050
+حققت مضمون من الاثنين normal عشان أجيب unit بدأنا 
+
+141
+00:13:47,050 --> 00:13:52,750
+يحسبوا الـ magnitude، الـ magnitude للـ T تساوي الجذر
+
+142
+00:13:52,750 --> 00:14:00,010
+التربيعي 2 تربيع زائد كمان 2 تربيع زائد 1
+
+143
+00:14:00,010 --> 00:14:07,150
+تربيع تساوي جذر التسعة 3، خلصنا؟ لا ما خلصناش
+
+144
+00:14:07,150 --> 00:14:17,730
+الآن باجي بقول له الـ T hat، الـ T hat الآن عبارة على
+
+145
+00:14:17,730 --> 00:14:23,910
+unit قلنا الـ hat هذا بيمثل الـ unit تساوي 2
+
+146
+00:14:23,910 --> 00:14:30,820
+على 3 المركبة الأولى، والمركبة التالية 2 على 3
+
+147
+00:14:30,820 --> 00:14:35,920
+والمركبة الثالثة 1 على 3، ليش ما صارت .. ايش معنى
+
+148
+00:14:35,920 --> 00:14:39,960
+هذا بيغيره يعني؟ 
+
+149
+00:14:39,960 --> 00:14:44,560
+تمام يا شباب؟ وبهيك بيصير أنا حصلت على unit normal
+
+150
+00:14:44,560 --> 00:14:47,580
+vector أخبرهم اللي عامل الماضي أجيب السؤال زي هذا
+
+151
+00:14:47,580 --> 00:14:53,480
+السؤال قلت لهم هتقول unit normal vector في
+
+152
+00:14:53,480 --> 00:14:59,360
+السؤال هذا فعليًا الشباب فاضي معه،  وإنّه بسيط جدًا يعني
+
+153
+00:14:59,360 --> 00:15:04,240
+كنت مستغرب ليش .. ليش فعليًا هذا السؤال ما فيش ..
+
+154
+00:15:04,240 --> 00:15:08,620
+مايقبش ولا حل معه، وإنّه كمان مرة متاح في عندي two
+
+155
+00:15:08,620 --> 00:15:14,700
+vectors اضربهم في بعض تمام احسب الـ magnitude و
+
+156
+00:15:14,700 --> 00:15:18,200
+عادة الشباب لو حققت عليه ثلاث علامات لو حققت عليه
+
+157
+00:15:18,200 --> 00:15:23,200
+ثلاث علامات، علامة على الـ cross product، وعلامة
+
+158
+00:15:23,200 --> 00:15:28,020
+على الـ magnitude، وعلامة على الـ unit، وكان الله 
+
+159
+00:15:28,020 --> 00:15:31,860
+بالسر عليه بقول
+
+160
+00:15:31,860 --> 00:15:40,020
+ما خفت ولا ما بقعد بطلت من زمان طيب
+
+161
+00:15:40,020 --> 00:15:52,960
+طيب
+
+162
+00:15:55,190 --> 00:15:58,850
+كان في أنا موضوع ثاني شوفنا لما اتكلمنا على الـ
+
+163
+00:15:58,850 --> 00:16:02,710
+polygons أو الـ 2D polygons و 3D shapes وقلت لك
+
+164
+00:16:02,710 --> 00:16:07,490
+احسب لي مساحة المسطح أو مساحة الـ polygons هذا مع الـ
+
+165
+00:16:07,490 --> 00:16:12,830
+2D shapes إذا بتتذكر لما كنت بقول لك إنّي في عندي
+
+166
+00:16:12,830 --> 00:16:20,790
+بي واحد X واحد Y واحد X اتنين Y اتنين X تلاتة Y
+
+167
+00:16:20,790 --> 00:16:26,440
+تلاتة كنت بقول لك إنّ الـ area اللي بتشكل من مع النقاط
+
+168
+00:16:26,440 --> 00:16:32,020
+هذه، وجاك سؤال في الامتحان هي اللي مع أو ضد عقارب 
+
+169
+00:16:32,020 --> 00:16:36,880
+الساعة مصبوط كنت بقول لك احسب الـ area إذا أنا ايش
+
+170
+00:16:36,880 --> 00:16:50,740
+كنا نقول يساوي هي نص X 
+
+171
+00:16:50,740 --> 00:17:06,230
+واحد في Y2 ناقص X2 في Y1 زائد X2 Y3 ناقص X3 Y2 زائد
+
+172
+00:17:06,230 --> 00:17:14,910
+الآن X3 خلصت
+
+173
+00:17:14,910 --> 00:17:20,710
+المسألة صح؟ ولو قلت معاك الإشارة سالبة المساحة
+
+174
+00:17:20,710 --> 00:17:25,940
+3 مثلاً 3 مع المساحة 3 عكس عقارب
+
+175
+00:17:25,940 --> 00:17:30,720
+الساعة، وأنت به لو أنا جبت .. جبت لك سؤال في الصح و
+
+176
+00:17:30,720 --> 00:17:36,560
+غلط أو في الاختيار من المتعدد وكتبت لك الـ area و
+
+177
+00:17:36,560 --> 00:17:41,060
+المساحة بتاعة الـ polygon المشكل بالنقاط هذا هتوح
+
+178
+00:17:41,060 --> 00:17:45,700
+تحسبها أنت تمام، وتختار سالب 3 ولا 3 ولا
+
+179
+00:17:45,700 --> 00:17:48,040
+واحدة ولا واحدة من الإجابة هتحط لك أي قيمة ثانية
+
+180
+00:17:48,040 --> 00:17:54,020
+إذا حطيت سالب 3 غلط لأن الـ Area أو المساحة
+
+181
+00:17:54,020 --> 00:17:58,940
+مستحيل تكون بالسالب مستحيل تكون بالسالب فقلنا إحنا
+
+182
+00:17:58,940 --> 00:18:02,920
+الإشارة بس عشان تقول لي ما ترتيب الـ sequence أو الـ
+
+183
+00:18:02,920 --> 00:18:07,320
+chain تبعتي هذه مع أو ضد عقارب الساعة بس مش أكثر،
+
+184
+00:18:07,320 --> 00:18:15,820
+تمام فبهذا القانون من وجهه باعتماد
+
+185
+00:18:15,820 --> 00:18:19,600
+على الضرب المتجهي للنقاط اللي موجودة عندي الآن لأنّ
+
+186
+00:18:19,600 --> 00:18:24,750
+أيّ أدراجهم هو عبارة عن ايش؟ بجموعهم من النقاط لو
+
+187
+00:18:24,750 --> 00:18:30,790
+أنا كل two lines محصور بين .. يعني أخذت ثلاث نقاط
+
+188
+00:18:30,790 --> 00:18:36,110
+ورا بعض الأولى والثانية والثالثة، هدي واحد وهدي
+
+189
+00:18:36,110 --> 00:18:39,030
+واحد، واعتبرت به اتنين هي الـ tail، بقى أصبحت بتكلم
+
+190
+00:18:39,030 --> 00:18:43,850
+على متجهات بصبرت؟ أصبحت بتكلم على متجهات و
+
+191
+00:18:43,850 --> 00:18:47,850
+المتجهات هذه إذا أنا ضربتها في بعضها، ده بأتكلم على
+
+192
+00:18:47,850 --> 00:18:52,900
+مساحة بشكل أهم بيقول لي لو كان أنا في عندي two
+
+193
+00:18:52,900 --> 00:18:56,820
+vectors مثل
+
+194
+00:18:56,820 --> 00:19:03,060
+اللي في الرسم هنا، بغض النظر عن أقوالهم الـ height
+
+195
+00:19:03,060 --> 00:19:07,580
+الارتفاع تبع الـ two vectors هنا، ما بقدر اللى بتشكل 
+
+196
+00:19:07,580 --> 00:19:13,410
+هنا ممتازة، متجهين، ما هي توجهله بدل من التقيم إذا
+
+197
+00:19:13,410 --> 00:19:15,950
+بتتكلم على كارتين cross product، بتجمع الـ tails مع
+
+198
+00:19:15,950 --> 00:19:20,010
+بعضهم، اتكلم على ضرب متجهات بده اجمع الـ tails، جمعت
+
+199
+00:19:20,010 --> 00:19:23,930
+الـ tails مع بعض صار في عندي مثلث، وبيصير مثلث قائم
+
+200
+00:19:23,930 --> 00:19:28,410
+ازاي؟ لو أنا اصطفط عمود من ناقص الـ S على الـ R زي
+
+201
+00:19:28,410 --> 00:19:32,450
+اللي في راسي ما عندي هنا الآن الـ H كده ايش تقول يا 
+
+202
+00:19:32,450 --> 00:19:39,360
+شباب كده ايش تفهم الـ H في مثلث قائم الزاوية الـ H ايش
+
+203
+00:19:39,360 --> 00:19:47,320
+تساوي؟ الـ H ايش تساوي؟ عند
+
+204
+00:19:47,320 --> 00:19:51,280
+دلعين وزاوية بقدرش أنا هطبق فيه ثغرص، بطبق قانون
+
+205
+00:19:51,280 --> 00:19:55,640
+الـ ratios، بطبق الـ sine، الآن هذا المقابل وهو فيه
+
+206
+00:19:55,640 --> 00:20:01,120
+عند الـ S اللي هو بمثل ايش؟ S غلط، الـ magnitude تبعت 
+
+207
+00:20:01,120 --> 00:20:04,790
+الـ S لأنّي بتكلم على قيمة، هيك بتكون الأمور صحي
+
+208
+00:20:04,790 --> 00:20:10,790
+حة معتصر، معتصر تمام، بتكون هيك الأمور صح، طيب ولكن أنت 
+
+209
+00:20:10,790 --> 00:20:14,710
+بتقول لي S، معناته S غلط S، لأنّ S متتابع عندك فأنت
+
+210
+00:20:14,710 --> 00:20:17,850
+بتتكلم على الـ magnitude تبعتها، معناته الـ H هذه
+
+211
+00:20:17,850 --> 00:20:26,290
+تساوي الـ magnitude تبعت الـ S في sin الـ beta من
+
+212
+00:20:26,290 --> 00:20:30,390
+أين أجبتها sin beta تساوي
+
+213
+00:20:33,410 --> 00:20:40,470
+المقابل على الوتر، المثلث
+
+214
+00:20:40,470 --> 00:20:46,990
+قائم الزاوية هي الوتر وبالتالي H تساوي magnitude S
+
+215
+00:20:46,990 --> 00:20:52,630
+في sin beta، إذا أنا حصلت ارتفاع بقى درجات تحت
+
+216
+00:20:52,630 --> 00:20:53,450
+المثلث هدولة
+
+217
+00:20:56,540 --> 00:21:00,580
+بقدر أجيبه، صار فيه عند الدلعين، طيب ماشي الحال مش
+
+218
+00:21:00,580 --> 00:21:04,940
+صار فيه عند الدلعين ومثلث قائم الزاوية بستخدم فيه
+
+219
+00:21:04,940 --> 00:21:07,940
+ثغرص عشان أجيب الدلعي الثالث، إذا أنا بقبق مساحة
+
+220
+00:21:07,940 --> 00:21:11,680
+المثلث نصف القاعدة في الارتفاع أصبعه؟ الآن بقدر
+
+221
+00:21:11,680 --> 00:21:16,410
+أجيب هذه الجزئية ولا شو رأيكم؟ عند الـH معروفة
+
+222
+00:21:16,410 --> 00:21:19,230
+وعند الـS، الـ magnitude تبعت الـS معروفة، بقول إنّ
+
+223
+00:21:19,230 --> 00:21:21,170
+احسب هذه الاسم، بأعتمد عليه في التغورص، وبجيب
+
+224
+00:21:21,170 --> 00:21:25,110
+القيمة الموجودة، بقول عندي مساحة المثلث تساوي نص
+
+225
+00:21:25,110 --> 00:21:32,190
+الطاقة نص الـ base في الارتفاع، لكن
+
+226
+00:21:32,190 --> 00:21:40,030
+في عندي أنا قانون لأيّ متوازي أطلع مساحة متوازي 
+
+227
+00:21:40,030 --> 00:21:46,050
+الأضلاع تساوي شباب مساحة متوازي الأضلاع مرض عليك؟
+
+228
+00:21:46,050 --> 00:21:50,130
+المستطيل
+
+229
+00:21:50,130 --> 00:21:57,110
+مختلف، الآن المستطيل تاخد الطول في العرض بتجيبه أو
+
+230
+00:21:57,110 --> 00:21:59,630
+الارتفاع في العرض مش قابلنا كثير بتسميها بمصطلحات
+
+231
+00:21:59,630 --> 00:22:04,070
+الـ length في الـ width في الآخر لكن لما أنا بتكلم
+
+232
+00:22:04,070 --> 00:22:11,030
+على متوازي أضلاع مش هتمشي الأمور بالشكل هذا، الحل
+
+233
+00:22:11,030 --> 00:22:12,150
+بتجسمه ليه؟
+
+234
+00:22:18,610 --> 00:22:25,490
+مثلثين ومستطيل، مثلثين ومستطيل، هذه تساوي مساحة هذا
+
+235
+00:22:25,490 --> 00:22:30,270
+وضع الـ دي، المستطيل هذا بقدر أنا أحسبه إذا بتفكر
+
+236
+00:22:30,270 --> 00:22:33,510
+بالشكل هذا لكن في عندك قانون أسهل من هيك، مساحة
+
+237
+00:22:33,510 --> 00:22:39,090
+متوازي أضلاع تساوي القاعدة
+
+238
+00:22:40,800 --> 00:22:48,480
+التي هي الـ magnitude تبعت الـ R في الارتفاع الـ H
+
+239
+00:22:48,480 --> 00:22:55,880
+اللي حسبته هنا وهي موجودة على قيم المستقيم أو الـ
+
+240
+00:22:55,880 --> 00:23:00,820
+vector R T، الـ vector R هتكون هنا من البداية
+
+241
+00:23:00,820 --> 00:23:03,300
+الارتفاع هنا هتكون ثابت للنهاية
+
+242
+00:23:10,860 --> 00:23:16,580
+الارتفاع كانت تساوي عن مال حسبناها، الـ magnitude
+
+243
+00:23:16,580 --> 00:23:25,520
+للـ S في sin بيتا، طيب صارت عندي الـ area تساوي الـ
+
+244
+00:23:25,520 --> 00:23:29,880
+magnitude تبعت الـ R في الـ magnitude تبعت الـ S في sin
+
+245
+00:23:29,880 --> 00:23:33,980
+الزاوية اللي بينهم اللي بين بصين
+
+246
+00:23:37,310 --> 00:23:41,810
+الـ magnitude تبعت الـ cross product بين الاتنين، الـ
+
+247
+00:23:41,810 --> 00:23:45,450
+magnitude تبعت الـ cross product بين two vectors
+
+248
+00:23:45,450 --> 00:23:59,650
+بالمثال السابق لو أنا سألتك بس
+
+249
+00:23:59,650 --> 00:24:09,270
+النقاط، هم بيقولوا ايه؟ حسبنا الـ T تساوي 2I زائد 2J
+
+250
+00:24:09,270 --> 00:24:21,250
+زائد K، مظبوط؟ 2K زائد 2J زائد K، الآن 
+
+251
+00:24:21,250 --> 00:24:27,050
+الـ magnitude للـ T طلعت
+
+252
+00:24:27,050 --> 00:24:31,770
+3 طلعت 3، وبتعالي نحسب
+
+253
+00:24:35,240 --> 00:24:38,620
+بضال علي اجيب الزاوية، إذا أنا بدي مصبوط اجيب
+
+254
+00:24:38,620 --> 00:24:42,560
+الزاوية بين الاتنين، وبالتالي أنا بقدر أجيب أو اثبت
+
+255
+00:24:42,560 --> 00:24:46,860
+لك أنّ القيمة تساوي 3، إذا احنا كنا بنتكلم على
+
+256
+00:24:46,860 --> 00:24:53,960
+مثلث في الـ triangle، مساحة 
+
+257
+00:24:53,960 --> 00:25:01,400
+المثلث تمام، هي نص مساحة متوازي الأضلاع اللي موجود
+
+258
+00:25:01,400 --> 00:25:05,370
+عندي هنا، طيب شو علاقة القانون هذا بالقانون السابق
+
+259
+00:25:05,370 --> 00:25:10,070
+اللي احنا شفناه مع النقاط هاي؟
+
+260
+00:25:10,070 --> 00:25:16,190
+النقطتين، لما احنا اتكلمنا هاي، في عند نقاط B1,B2,B3
+
+261
+00:25:16,190 --> 00:25:23,850
+أو B0,B1,B2، وB0 بيمثل الـ tails تمام، الـ two vectors
+
+262
+00:25:26,410 --> 00:25:31,910
+بواحد وباتنين، وبما أنّ الترتيب اللي عندي أنا جاي
+
+263
+00:25:31,910 --> 00:25:39,930
+عكس عقارب الساعة، تمام، ترتيب المساحة لازم القيمة
+
+264
+00:25:39,930 --> 00:25:43,550
+اللي تطلع معايا في الحسبة تطلع موجبة، تمام اللي أنا
+
+265
+00:25:43,550 --> 00:25:44,770
+بدي أ public عليها
+
+266
+00:25:47,760 --> 00:25:53,000
+الضرب المتجهين، ومتنساش إنّ المثلث as a polygon له
+
+267
+00:25:53,000 --> 00:25:56,980
+ميزة عن كل الأشكال إنّ في الـ 2D بظل planner، يعني
+
+268
+00:25:56,980 --> 00:26:01,400
+بتلاقيه دائمًا موجود على محورين فقط، بتلاقي المثلث
+
+269
+00:26:01,400 --> 00:26:07,240
+موجود دائمًا على محورين فقط، عشان هيك أنا بدي أفترض
+
+270
+00:26:07,240 --> 00:26:12,320
+إنّ الـ Z ها equal صفر، وبالتالي B1 لو أنا هيك الآن
+
+271
+00:26:12,320 --> 00:26:16,100
+المتجه R ايه شو يساوي يا شباب؟
+
+272
+00:26:18,980 --> 00:26:29,620
+بالنسبة للنقاط اللي عندي، بالتجارة R X1-X0 Y1
+
+273
+00:26:29,620 --> 00:26:41,640
+-Y0 S X2-X0 Y2-Y0
+
+274
+00:26:42,430 --> 00:26:45,470
+إذا أنا بدي أطبق احسب المساحة هاي بدي أطبق قانون
+
+275
+00:26:45,470 --> 00:26:49,670
+نين يا شباب قانون cross product بين المتجهين cross
+
+276
+00:26:49,670 --> 00:26:56,470
+product بين المتجهين ايش
+
+277
+00:26:56,470 --> 00:27:04,110
+تساوي R cross الـ S غلط
+
+278
+00:27:04,110 --> 00:27:08,430
+أنت الآن بدك تحسب الـ magnitude 3 اه إذا بدك
+
+279
+00:27:08,430 --> 00:27:13,490
+تحسب الـ magnitude okay الآن المعتصم بيقول ..
+
+280
+00:27:13,490 --> 00:27:16,910
+المعتصم
+
+281
+00:27:16,910 --> 00:27:19,930
+بيقول كانت تالي أنا بحاجة فعليًا الـ T هي الـ
+
+282
+00:27:19,930 --> 00:27:23,870
+magnitude تمام؟ وبالتالي أنا ما فيش داعي أن أروح 
+
+283
+00:27:23,870 --> 00:27:29,670
+أضرب الاتجاهين .. المتجاهين برب اتجاهي شو رأيكم في
+
+284
+00:27:29,670 --> 00:27:34,950
+الكلام؟ المعتصم بيقول أنا مباشرة بروح بحسب الـ
+
+285
+00:27:34,950 --> 00:27:36,870
+magnitude مين بيؤيد المعتصم؟
+
+286
+00:27:39,150 --> 00:27:45,990
+ولا حد ايش مصبور عليه بتقايل معتصم ولا لأ أنت أنت
+
+287
+00:27:45,990 --> 00:27:49,490
+اللي حكاها معتصم ولا عليه لأ لأ معتصم حكى جبل الآن
+
+288
+00:27:49,490 --> 00:27:54,010
+معتصم في مشكلة أن الـ T هذه مش هتحصل عليها إلا لما
+
+289
+00:27:54,010 --> 00:28:00,090
+تنفذ الضرب إلا لما تنفذ الضرب ما تنساش تمام الآن
+
+290
+00:28:00,090 --> 00:28:08,870
+أنا هو مديك R ومديك S وR عفواً T تساوي R cross الـ S
+
+291
+00:28:08,870 --> 00:28:13,930
+ضرب متجهي فأنت بتقدر بضرب اتجاهي في الأول بعدين
+
+292
+00:28:13,930 --> 00:28:19,430
+تجيب الـ magnitude وبعدين تجيب الـ magnitude أيوة
+
+293
+00:28:19,430 --> 00:28:25,430
+ايش ما بتقوله علي و
+
+294
+00:28:25,430 --> 00:28:29,130
+الـ beta اللي بينهم الزاوية وين
+
+295
+00:28:51,070 --> 00:28:54,750
+بس أنت ناسي أن هذا أساسًا مش موجود عندك
+
+296
+00:28:57,410 --> 00:29:01,270
+الآن أنت باقي تجيب الزاوية لازم الثلاث عناصر أو 
+
+297
+00:29:01,270 --> 00:29:04,470
+الثلاث قيامة بتتوفر في الحالة اللي احنا بنتكلم فيها
+
+298
+00:29:04,470 --> 00:29:10,890
+جاعدين لا موجود زاوية ولا موجود product إلا لو أنت 
+
+299
+00:29:10,890 --> 00:29:16,310
+روح الدروس بتضرب متجهي بكمل، مين بيكمل يا شباب؟
+
+300
+00:29:16,310 --> 00:29:20,930
+بدك تتخيل .. تتخيل
+
+301
+00:29:24,230 --> 00:29:28,530
+في زبدة عشان تصبق معاك عملية الضرب بظبط بدك تتخيل
+
+302
+00:29:28,530 --> 00:29:38,070
+أن عملية الضرب عشان تصبق معاك يساوي R كرس الـ S الـ
+
+303
+00:29:38,070 --> 00:29:48,470
+I بيقول أن احنا بنخب الـ I I I J K صفر في الـ I رح
+
+304
+00:29:48,470 --> 00:29:52,550
+أدروا الـ R تمام و صفر يعني J
+
+305
+00:29:55,430 --> 00:30:00,490
+بيبقى اللي عندي الـ K الـ
+
+306
+00:30:00,490 --> 00:30:04,910
+K
+
+307
+00:30:04,910 --> 00:30:10,070
+بقترب من في مين يا شباب يعني
+
+308
+00:30:10,070 --> 00:30:19,050
+هتصير في عندي أنا الآن X1-X0 مضروبة في Y2 Y0 معقص
+
+309
+00:30:22,030 --> 00:30:32,590
+X2-X0 مضروبة في Y1 Y0 في
+
+310
+00:30:32,590 --> 00:30:39,130
+K الآن لما أنا أبدأ أفكر بالـ magnitude ما أي حاجة
+
+311
+00:30:39,130 --> 00:30:44,770
+بصير معتصم ليش؟ أنا خلاص صارت هذه القيمة الآن
+
+312
+00:30:44,770 --> 00:30:51,860
+هتكون القيمة هذه هي عبارة عن scalar value X Y
+
+313
+00:30:51,860 --> 00:30:56,440
+مضروبات من بعض ومضروبات بس حساب طيب الـ مجنتيوت
+
+314
+00:30:56,440 --> 00:31:01,960
+لهذا هو عبارة عن القيمة هذه في مجنتيته تبع T
+
+315
+00:31:01,960 --> 00:31:05,800
+الفكتور مجنتيوت T الفكتور جداش الـ K واحد بكون احنا
+
+316
+00:31:05,800 --> 00:31:13,280
+وصلنا للي بدنا ياه ما تصفر تمام؟ الآن معناته
+
+317
+00:31:13,280 --> 00:31:21,630
+مجنتيته T تساوي الـ كده هخلص منها أنا هم ولا لا بس
+
+318
+00:31:21,630 --> 00:31:31,670
+ده اللي علي اضربني X1 في Y2 ناقص X1
+
+319
+00:31:31,670 --> 00:31:44,030
+في Y0 ناقص X صفر اه الآن بك تاخد النقص لمين؟ Okay X
+
+320
+00:31:44,030 --> 00:31:52,370
+صفر في Y اتنين مستين تابعي X صفر اه لو الآن الـ
+
+321
+00:31:52,370 --> 00:31:56,130
+cash تاخدها عامل مشترك بدك تسيبها بدك تنتبه طبعًا
+
+322
+00:31:56,130 --> 00:32:02,530
+إذا أنت الآن قاعد بحكي الاجباز قاعد بضرب 
+
+323
+00:32:06,180 --> 00:32:10,060
+أدرب بالسالب وأدرب بالموجة بس بدك تنتبه كمان مرة
+
+324
+00:32:10,060 --> 00:32:16,480
+أنت روحت عشان اسمك جالك هذه سالم هي فعلاً زائد أضرب
+
+325
+00:32:16,480 --> 00:32:23,400
+و أضرب سالم سالم X0 في Y2 سالم في زائد سالم موجبة 
+
+326
+00:32:23,400 --> 00:32:27,360
+زائد X0 في Y0
+
+327
+00:32:39,830 --> 00:32:51,290
+بعد قانون السابق يتشكل معانا X1Y2-X2Y1
+
+328
+00:32:55,340 --> 00:32:59,500
+وبتكمل في أن أتحلل الآنصر اللي موجودة عندي هنا و
+
+329
+00:32:59,500 --> 00:33:03,520
+بقى عندي أحلل القوس الثاني هذا الآن بين القوسين
+
+330
+00:33:03,520 --> 00:33:16,340
+سالب ما عندي مشكلة فيها X2 Y1 ناقص X2 Y0 نفس الكلام
+
+331
+00:33:16,340 --> 00:33:31,850
+زائد X0 Y1 سالب عفواً زائد X0 Y0 الآن أعيد ترتيب 
+
+332
+00:33:31,850 --> 00:33:35,490
+المسألة اللي عندك هتكون حصلنا على القانون السابق
+
+333
+00:33:35,490 --> 00:33:41,650
+اللي فيه ثلاث نقاط X0 B0 B1 وB2 وحصلنا على القانون
+
+334
+00:33:41,650 --> 00:33:50,110
+اللي احنا شوفنا وين اه لأ احنا اتفقنا الآن أن الـ T
+
+335
+00:33:50,110 --> 00:33:57,780
+اصبر الـ T تساوي الـ T تساوي اه عفواً الآن بدي 
+
+336
+00:33:57,780 --> 00:34:03,720
+magnitude of T تساوي الـ magnitude لهذه لما هي قيمة
+
+337
+00:34:03,720 --> 00:34:09,480
+scalar طلعتها برا صارت الأقواس في الـ magnitude of
+
+338
+00:34:09,480 --> 00:34:14,020
+K الـ magnitude of K واحد عشان ايه أنا عايش استغلت
+
+339
+00:34:14,020 --> 00:34:21,120
+عنها الـ T
+
+340
+00:34:21,120 --> 00:34:27,150
+فيه اتجاه متعالج على المتلف اللي عندي الـ T متعامد
+
+341
+00:34:27,150 --> 00:34:31,250
+على المثلث اللي عندي مصبوط احنا الآن اتفقنا أن هم
+
+342
+00:34:31,250 --> 00:34:36,290
+هتقسم هاي
+
+343
+00:34:36,290 --> 00:34:42,910
+الـ R وهي الـ S لما أنا بعمل R cross الـ S تساوي T
+
+344
+00:34:42,910 --> 00:34:50,790
+متعامد عليهم هاي اتجاهه الـ magnitude تبعته تساوي 
+
+345
+00:34:50,790 --> 00:34:55,810
+الـ magnitude للـ R في الـ magnitude للـ S في الـ sign
+
+346
+00:34:55,810 --> 00:35:03,430
+الزاوية اللي بينهم طبعًا وعاملة احنا نجيب قيمة الـ
+
+347
+00:35:03,430 --> 00:35:06,850
+magnitude تبعته مما أن هو مبتدأ باعتمادى على الـ I
+
+348
+00:35:06,850 --> 00:35:09,270
+و الـ J و الـ K وروح نجيب تي الـ magnitude تبعته
+
+349
+00:35:09,270 --> 00:35:12,210
+معناته أنا مش بحاجة لحساب القيم اللي موجودة عندي
+
+350
+00:35:12,210 --> 00:35:12,330
+هنا
+
+351
+00:35:47,340 --> 00:35:52,200
+الأخر نقطة كانت في الـ chapter اللي موجود عندنا ده
+
+352
+00:35:52,200 --> 00:35:55,840
+اللي فيه عندنا كـ example موجود في الكتاب بسيطات
+
+353
+00:35:55,840 --> 00:36:05,840
+أقول لك على سبيل المثال هد الـ magnitude للمتجه هد الـ
+
+354
+00:36:05,840 --> 00:36:08,300
+magnitude للـ position vector
+
+355
+00:36:17,680 --> 00:36:21,260
+الآن كمان مرة بقول لك هات لي الـ magnitude للـ position
+
+356
+00:36:21,260 --> 00:36:28,740
+vector P اللي هو على النقطة أربعة خمسة ستة شو يعني
+
+357
+00:36:28,740 --> 00:36:33,040
+position vector؟ اه صعب شو يعني position vector؟
+
+358
+00:36:33,040 --> 00:36:40,760
+مش فاهم حاجة مش مشكلة أيوة كامل مش موجود اليوم؟
+
+359
+00:36:42,180 --> 00:36:46,300
+بوزيشن فيكتور أن هذا الـ tail تبعت الـ vector هذا
+
+360
+00:36:46,300 --> 00:36:51,960
+هي الـ origin point نقطة الأصل بوزيشن فيكتور أن الـ
+
+361
+00:36:51,960 --> 00:36:56,760
+tail تبعت الـ b الـ vector هذا نقطة الأصل بما أن هذا
+
+362
+00:36:56,760 --> 00:37:04,940
+tail بي .. معناته صفر وصفر وصفر أربعة على الصفر
+
+363
+00:37:04,940 --> 00:37:11,090
+هي الـ vector بيه الآن بيه as a vector أربعة ناقص
+
+364
+00:37:11,090 --> 00:37:20,010
+صفر أربعة خمسة ناقص صفر خمسة ستة ناقص صفر ستة هاي
+
+365
+00:37:20,010 --> 00:37:26,590
+عملت الـ vector الآن لأنه كان مديني ب فقط نقطة خط 
+
+366
+00:37:26,590 --> 00:37:31,310
+السؤال يعني هذا السؤال شباب فيه مطلوبين مطلوب
+
+367
+00:37:31,310 --> 00:37:35,150
+الأول تكتب ليه vector وهيه الـ vector تبعنا بما أن 
+
+368
+00:37:35,150 --> 00:37:38,070
+هو position vector هيه النقطة الثانية المجنتين
+
+369
+00:37:38,070 --> 00:37:38,590
+تبعته
+
+370
+00:37:41,790 --> 00:37:47,430
+ما هي المجموعة يا صاحي؟ الجذر التربيعي للعناصر أو 
+
+371
+00:37:47,430 --> 00:37:59,170
+للتربيعات العناصر الموجودة 16 25 36 77
+
+372
+00:38:07,710 --> 00:38:17,470
+كيف عشرين فاصلة مش عارف جديش عليه جدر
+
+373
+00:38:17,470 --> 00:38:22,390
+الجدر السبع وسبعين جديش ثمانية وحاجة أنا أربع و
+
+374
+00:38:22,390 --> 00:38:30,770
+ستين جدر الاربع وستين ثمانية صح هذا أكبر ستة عشر 8
+
+375
+00:38:30,770 --> 00:38:35,350
+.4 تقريبًا أو 8.3 مش قضية كثير هتكون بالنسبة لنا بس
+
+376
+00:38:35,350 --> 00:38:41,250
+في الامتحان فيه عندك calculator أكثر من خمسة أقرب 
+
+377
+00:38:41,250 --> 00:38:49,190
+لواحد يقدر تعمل واحد 8.7 مش 
+
+378
+00:38:49,190 --> 00:38:53,290
+قضية في الامتحان فيه معاك calculator في الامتحان
+
+379
+00:38:53,290 --> 00:38:57,730
+فيه معاك calculator تمام وبدك تحكم القيمة الصحية 
+
+380
+00:38:57,730 --> 00:39:06,350
+هتطلع بالـ calculator طيب اللي بعده إذا كان رقم عشري
+
+381
+00:39:06,350 --> 00:39:09,790
+ايه لو كثير أعداد أدخل أو أخد أو أتلال أو أتدخل أو
+
+382
+00:39:09,790 --> 00:39:11,070
+أتدخل أو أتدخل أتدخل أتدخل أتدخل أتدخل أتدخل أتدخل
+
+383
+00:39:11,070 --> 00:39:12,250
+أتدخل أتدخل أتدخل أتدخل أتدخل أتدخل أتدخل أتدخل
+
+384
+00:39:12,250 --> 00:39:18,390
+أتدخل أتدخل
+
+385
+00:39:18,390 --> 00:39:25,510
+ات
+
+386
+00:39:26,770 --> 00:39:29,670
+مرة برقنا من الأخير خمسة .. خمسة .. خمسة .. خمسة
+
+387
+00:39:29,670 --> 00:39:30,390
+.. خمسة .. خمسة .. خمسة .. خمسة .. خمسة .. خمسة ..
+
+388
+00:39:30,390 --> 00:39:32,210
+خمسة .. خمسة .. خمسة .. خمسة .. خمسة .. خمسة ..
+
+389
+00:39:32,210 --> 00:39:32,590
+خمسة .. خمسة .. خمسة .. خمسة .. خمسة .. خمسة ..
+
+390
+00:39:32,590 --> 00:39:34,750
+خمسة .. خمسة .. خمسة .. خمسة .. خمسة .. خمسة ..
+
+391
+00:39:34,750 --> 00:39:38,150
+خمسة .. خمسة .. خمسة .. خمسة .. خمسة .. خمسة ..
+
+392
+00:39:38,150 --> 00:39:44,550
+خمسة .. خمسة .. خمسة .. خمسة .. خمسة .. خمسة ..
+
+393
+00:39:44,550 --> 00:39:51,410
+خمسة .. خمسة .. خمسة
+
+394
+00:39:53,360 --> 00:39:57,000
+قال هو أكون معكم صريح يا شباب أول مرة في تاريخ
+
+395
+00:39:57,000 --> 00:40:00,200
+من يوم اشتغلت في الجامعة أن أخطأ في امتحان فتصحيح 
+
+396
+00:40:00,200 --> 00:40:05,100
+حظ ولاية حظ ولاية صح عافي يا أستاذي ماشي الحال أنا 
+
+397
+00:40:05,100 --> 00:40:18,160
+اي بس كنت اه خلاص اهانة لكم مش ليه طيب طيب
+
+398
+00:40:18,160 --> 00:40:23,940
+نكمل يا شباب بيقول لي حسب الـ magnitude أو هتلي أو
+
+399
+00:40:23,940 --> 00:40:32,900
+convert الـ R لـ unit vector magnitude
+
+400
+00:40:32,900 --> 00:40:36,500
+ال
+
+401
+00:40:36,500 --> 00:40:42,620
+R تساوي واحد 
+
+402
+00:40:42,620 --> 00:40:45,580
+زائد أربعة زائد تسعة
+
+403
+00:40:48,610 --> 00:41:06,090
+الجزر الاربع عشر خلصت
+
+404
+00:41:06,090 --> 00:41:10,390
+هالمسألة خلص
+
+405
+00:41:10,390 --> 00:41:13,710
+خلص إيش تسوي تسوي اللي بدك إياها بس المسألة هي خلصت
+
+406
+00:41:17,630 --> 00:41:43,630
+الـ R اذا أنا قلت لك افضت أنه مجنتيور بنتروح تاخد شو
+
+407
+00:41:43,630 --> 00:41:46,230
+الـ 6 على 14 يا سلام؟ 14 على 14 بتطلع
+
+408
+00:41:54,990 --> 00:41:59,130
+لأ الآن الترابير يتوزع فوق وتحت واحد على أربعة
+
+409
+00:41:59,130 --> 00:42:03,270
+طعاش أربعة على أربعة طعاش تسعة على أربعة طعاش الله يا 
+
+410
+00:42:03,270 --> 00:42:14,990
+شباب وبك وكرب في الحساب تمام
+
+411
+00:42:14,990 --> 00:42:16,270
+اقتصاد؟ هيك
+
+412
+00:42:22,560 --> 00:42:28,720
+ممكن تاخد الواحد عن المشترك واعز
+
+413
+00:42:54,920 --> 00:43:01,080
+ليه هات أو احسب الزاوية اللي محصورة أو هات للزاوية
+
+414
+00:43:01,080 --> 00:43:07,240
+اللي محصورة بين الـ R و الـ S كم
+
+415
+00:43:07,240 --> 00:43:09,360
+واحد يعرف يجيب المسألة اللي محادرة بهذه أو يجيب
+
+416
+00:43:09,360 --> 00:43:14,550
+يحسب الزاوية يا شباب طيب ماشي أنا بقى هي واحد اثنين
+
+417
+00:43:14,550 --> 00:43:19,890
+ثلاثة أربعة خمسة والباقي أنت بتعرف تجيبها كويس 
+
+418
+00:43:19,890 --> 00:43:24,310
+الآن لما أقول ايه هي ات الزاوية بين الـ two vectors
+
+419
+00:43:24,310 --> 00:43:30,530
+تمام مباشرة مباشرة تروح في دماغك الـ magnitude اه
+
+420
+00:43:30,530 --> 00:43:35,710
+الآن magnitude الـ R في magnitude الـ S في كزان 
+
+421
+00:43:35,710 --> 00:44:09,710
+الزاوية يساوي A في E زائد B في E زائد C في F نفس
+
+422
+00:44:09,710 --> 00:44:11,810
+الأرقام
+
+423
+00:44:26,880 --> 00:44:32,040
+لازم القانونين يستحضروا عندك لأن إذا ما حسبتش هذه
+
+424
+00:44:32,040 --> 00:44:38,320
+مش هتقدر تجيب الزاوية ال magnitude تبعت ال R ما بيعيش 
+
+425
+00:44:38,320 --> 00:44:38,760
+عليه
+
+426
+00:44:43,820 --> 00:44:51,120
+والمقياس الكوساين 
+
+427
+00:44:51,120 --> 00:44:57,800
+بيتا تساوي
+
+428
+00:44:57,800 --> 00:45:04,940
+تساوي كوساين انفرس 5 على
+
+429
+00:45:04,940 --> 00:45:05,660
+جذر 21
+
+430
+00:45:11,850 --> 00:45:21,650
+أو فاصلة 3 طيب ال chapter هيك خلص يا شباب و
+
+431
+00:45:21,650 --> 00:45:24,650
+احنا هيك نكون خلصنا مش هدخل في الموضوع الشديد
+
+432
+00:45:24,650 --> 00:45:29,570
+غالباً .. غالباً ضال عندي chapter والتاني حسب ال
+
+433
+00:45:29,570 --> 00:45:33,570
+transformation  قديش نمشي فيه طبعا لأو ضال chapter
+
+434
+00:45:33,570 --> 00:45:34,310
+أين؟ الأصل
+
+435
+00:45:37,700 --> 00:45:40,760
+و C10 عارفش نقول المشكلة في الموضوع يعني في عندنا 
+
+436
+00:45:40,760 --> 00:45:46,960
+ال transformation تمام هنبدأ فيه إذا خلصناها بدري
+
+437
+00:45:46,960 --> 00:45:53,720
+نبدأ في ال interpolation ما خلصناهاش ننتقل في نعم
+
+438
+00:45:53,720 --> 00:45:57,640
+عطوا
+
+439
+00:45:57,640 --> 00:45:58,300
+كل عافية شباب 
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/xf-ECGDEVZs_postprocess.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/xf-ECGDEVZs_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..a555d7a7e4c2689ed6d9673c818818f02446db2f
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/xf-ECGDEVZs_postprocess.srt
@@ -0,0 +1,1756 @@
+1
+00:00:21,190 --> 00:00:23,630
+بسم الله والحمد لله والصلاة والسلام علي رسول الله
+
+2
+00:00:23,630 --> 00:00:27,830
+اليوم ان شاء الله يا شباب بنختم ال chapter ال
+
+3
+00:00:27,830 --> 00:00:33,350
+vectors التطبيقين على ال cross product اللي هى
+
+4
+00:00:33,350 --> 00:00:39,730
+أهمهم حساب ال area لل polygon استخدام ال cross
+
+5
+00:00:39,730 --> 00:00:42,650
+product لكن بشكل عام ان ذكرك احنا وقعد كنا واقفين
+
+6
+00:00:42,650 --> 00:00:47,510
+اخر المحاضرات كنا بنتكلم على ال vector product ضرب
+
+7
+00:00:47,510 --> 00:00:51,810
+المتجهات وقولنا في ضرب المتجهات انا في عندىنوعين
+
+8
+00:00:51,810 --> 00:00:56,150
+من الضرب في المتجهات في عند ال scalar product اللى
+
+9
+00:00:56,150 --> 00:00:59,610
+بينتج عنه قيمة scalar وفي عند ال cross product
+
+10
+00:00:59,610 --> 00:01:06,110
+اللى بتنتج عنه متجه بنتج عنه متجه وقولنا بشكل عام
+
+11
+00:01:07,790 --> 00:01:10,130
+في ال cross product هنا او عفوا في ال scalar
+
+12
+00:01:10,130 --> 00:01:13,630
+product انا بحسب ال magnitude ل ال two vectors و
+
+13
+00:01:13,630 --> 00:01:17,510
+بحسب الزاوية اللي بينهم لكن احيانا الزاوية
+
+14
+00:01:17,510 --> 00:01:20,390
+مابتكونش موجودة عندى احيانا مابتكونش الزاوية
+
+15
+00:01:20,390 --> 00:01:26,110
+موجودة عندى و بتكون هي مطلوب السؤال فقلنا بنلجأ
+
+16
+00:01:26,110 --> 00:01:31,570
+لتمثيل ال vectors على ان ال R بده تساوي A و B و C
+
+17
+00:01:31,570 --> 00:01:34,830
+و
+
+18
+00:01:34,830 --> 00:01:42,640
+ال S بتساويD E F هذه المعادلة كلها تتساوي
+
+19
+00:01:55,340 --> 00:01:59,200
+بالتالي تمثيل ال vector أو وجود ال vector بصورته
+
+20
+00:01:59,200 --> 00:02:03,260
+المتجهية الحقيقة بعيدا عن كارتيزيا ال vector مهمة
+
+21
+00:02:03,260 --> 00:02:08,040
+و كذلك لو كامدين ال vector شباب هيك R بدها تساوي
+
+22
+00:02:08,040 --> 00:02:12,920
+ai بزايد bj بزايد ck
+
+23
+00:02:19,830 --> 00:02:26,330
+EJ زائد FK يعني الدان المتجهين علي انهم Cartesian
+
+24
+00:02:26,330 --> 00:02:30,050
+product ايش اللي هتتغير عندي؟ ولا حاجة التمثيل ال
+
+25
+00:02:30,050 --> 00:02:35,890
+vector هو فقط اللي بتتغير A في D زائد BE زائد C في
+
+26
+00:02:35,890 --> 00:02:40,490
+F و لما جينا نتكلم على و بقول هنا في تطبيقين مهندس
+
+27
+00:02:40,490 --> 00:02:44,640
+جداالـ Line Intensity أو Light Intensity كتابة
+
+28
+00:02:44,640 --> 00:02:50,140
+الضوء والـ Back Face Detection كتابة تطبيقات لـ
+
+29
+00:02:50,140 --> 00:02:54,900
+Scalar Product ولمّا انتقلنا باتكلم على الـ
+
+30
+00:02:54,900 --> 00:02:58,480
+Cartesian Product أو عفوا على الـ Cross Product
+
+31
+00:02:58,480 --> 00:03:02,420
+قلت أنا بدي أنظر للمسألة و أقيمها على فرض بالشكل
+
+32
+00:03:02,420 --> 00:03:02,780
+هذا
+
+33
+00:03:06,010 --> 00:03:14,590
+T بتساوي R X S هو عبارة عن متجه متعمد على المتجهين
+
+34
+00:03:14,590 --> 00:03:19,110
+R و S فدي واحد المجنتيوت تبعته بديت تساوي
+
+35
+00:03:19,110 --> 00:03:22,450
+المجنتيوت R مجنتيوت ال S في sign الزاوية اللي
+
+36
+00:03:22,450 --> 00:03:28,470
+بينهم طيب كمتجه هو ايش كانت قيمته كمتجه ايش كانت
+
+37
+00:03:28,470 --> 00:03:32,370
+قيمته اتخيلها كانها determinant
+
+38
+00:03:35,580 --> 00:03:43,760
+و J و K في الصف الأول بعد هيك A B C في الصف التاني
+
+39
+00:03:43,760 --> 00:03:50,820
+بعد هيك D و E و F في الصف التالت حل ال determinant
+
+40
+00:03:50,820 --> 00:03:55,920
+هذا باستخدامك للصف الأول حل ال determinant
+
+41
+00:03:55,920 --> 00:04:02,700
+باستخدامك للصف الأول B
+
+42
+00:04:02,700 --> 00:04:04,920
+F ناقص
+
+43
+00:04:11,710 --> 00:04:23,570
+CEI-AF-CDJAE
+
+44
+00:04:23,570 --> 00:04:29,130
+-DDK
+
+45
+00:04:29,130 --> 00:04:34,650
+وهذا هو المتجهإنها تجعلنا من الـ cross ال product
+
+46
+00:04:34,650 --> 00:04:43,730
+وهذا كان ملخص الدرب المتجهات أو درب المتجهات بشكل
+
+47
+00:04:43,730 --> 00:04:57,630
+عام كنا
+
+48
+00:04:57,630 --> 00:05:04,170
+خلصنا احنا من موضوع الدرب بدنا نيجيلو قال لي طبعا
+
+49
+00:05:04,170 --> 00:05:08,650
+زي ما حكينا في عنه تطبيقات مهمة اذا بتتذكر لما كنا
+
+50
+00:05:08,650 --> 00:05:14,930
+بنتكلم عن ال light intensity او كثافة الضوء على
+
+51
+00:05:14,930 --> 00:05:20,520
+السطح كان بالزمن دائما اجيب vectorعمودي كان
+
+52
+00:05:20,520 --> 00:05:24,780
+بيجيبني دائما اجيب vector عمودي على النقطة في
+
+53
+00:05:24,780 --> 00:05:27,960
+المثال اللي احنا اشتغلنا عليه جنن ان كان ورم
+
+54
+00:05:27,960 --> 00:05:32,980
+vector هاي قيمته ادالية صفر عشرة صفر كانت قيمته
+
+55
+00:05:32,980 --> 00:05:38,340
+طيب لو ماكانش يعطينيه هل في مجال انا اجيبه؟ هل في
+
+56
+00:05:38,340 --> 00:05:41,600
+مجال انا اجيب ال vector هذا؟ خليني ارجع معاك لحظات
+
+57
+00:05:41,600 --> 00:05:42,660
+بس للمثال السابق
+
+58
+00:05:51,130 --> 00:05:56,350
+عفوا .. واحد قال لي هاي ال vector ان قاللي هذا
+
+59
+00:05:56,350 --> 00:06:00,070
+vector normal اتفاقنا الشباب normal vector يعني
+
+60
+00:06:00,070 --> 00:06:03,470
+vector عمودي متعامد على السطح اللي انت بتتكلم عليه
+
+61
+00:06:03,470 --> 00:06:08,950
+unit مقباره قيمة واحدة فقاللي هايه طب لو هذا
+
+62
+00:06:08,950 --> 00:06:12,570
+المتجه ماكانش موجود عندى هل بقدر انا اجيب متجه
+
+63
+00:06:12,570 --> 00:06:16,370
+متعامد لو راح اداني على سبيل المثالي عليه قاللي
+
+64
+00:06:16,370 --> 00:06:21,950
+انت هاي فيه عندك مثلثنقطة المثلث بي واحد بي اتنين
+
+65
+00:06:21,950 --> 00:06:31,230
+بي تلاتة و بدى تحسب لشدة الضوء على المثلث هذا بدك
+
+66
+00:06:31,230 --> 00:06:34,010
+تسقط العمود على اي نقطة كده تسقط على اي نقطة يا
+
+67
+00:06:34,010 --> 00:06:40,190
+خضراء ايه بدك تفترض ان في عندى بالعين من العضلاء
+
+68
+00:06:40,190 --> 00:06:44,290
+المثلث هم المتجهات بدك تفترض ان والله هاي هاد ع
+
+69
+00:06:44,290 --> 00:06:49,090
+سبيل المثال ال Sوما ده هو ال R والتاني من التقيم
+
+70
+00:06:49,090 --> 00:06:55,190
+دلتان تحسب كل واحد تجيب قيمته as a vector الأصل
+
+71
+00:06:55,190 --> 00:07:03,910
+ايش بتسوي شباب X واحد ماقص X اتنين Y واحد ماقص Y
+
+72
+00:07:03,910 --> 00:07:10,150
+اتنين ولو كان في ال 3D Z واحد ماقص Z اتنين هاي ال
+
+73
+00:07:10,150 --> 00:07:12,510
+vector الأول ال R
+
+74
+00:07:21,260 --> 00:07:26,020
+الان ال R X
+
+75
+00:07:26,020 --> 00:07:32,040
+تلاتة ناقص X اتنين Y تلاتة ناقص Y اتنين
+
+76
+00:07:34,610 --> 00:07:38,490
+زد اتنين ممتاز هاي اللي حصلت على ال vectors مصبوط
+
+77
+00:07:38,490 --> 00:07:41,450
+اللي انا بقدر امثلهم as a cartesian vector القيمة
+
+78
+00:07:41,450 --> 00:07:45,830
+هذه مضربة في I وهذه في J وهذه في K ال cross
+
+79
+00:07:45,830 --> 00:07:47,670
+product بين ال R والS
+
+80
+00:07:50,690 --> 00:07:55,890
+حاطيني vector متعامد على
+
+81
+00:07:55,890 --> 00:07:58,890
+المثلث هذا او فوق النقطة دي اللي هي الملتقة
+
+82
+00:07:58,890 --> 00:08:02,910
+المتجهين اللي عندي وبالتالي انا بقدر اشتغل و اجيب
+
+83
+00:08:02,910 --> 00:08:08,790
+هذا الكلام متعامد
+
+84
+00:08:08,790 --> 00:08:11,470
+اوكي بردناهم في بعض وجيبنا ال vector المتعامد حسب
+
+85
+00:08:11,470 --> 00:08:16,530
+القانون الكتاب اللي قبل شوية لو كان unit بكون احسن
+
+86
+00:08:16,530 --> 00:08:22,030
+او احسن بقدر احوله ل unit vectorعشان عن طريق نحسب
+
+87
+00:08:22,030 --> 00:08:26,610
+ال magnitude تبعته وجسم لعناصر تبعت ال vector هذا
+
+88
+00:08:26,610 --> 00:08:31,050
+على قيمة ال magnitude بكون حصلت على unit normal
+
+89
+00:08:31,050 --> 00:08:34,450
+vector متعامد على النقطة اللي موجودة عندي هان تمام
+
+90
+00:08:34,450 --> 00:08:38,010
+معناته
+
+91
+00:08:38,010 --> 00:08:44,070
+أول تقبيل عندي أنا هان لل cross productإنه أنا
+
+92
+00:08:44,070 --> 00:08:49,870
+فعليا ممكن أستخدمه من أجل أحطت متطلبات مثل مثل هذه
+
+93
+00:08:49,870 --> 00:08:53,050
+مثل مثل هذه مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+94
+00:08:53,050 --> 00:08:54,490
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+95
+00:08:54,490 --> 00:08:54,990
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+96
+00:08:54,990 --> 00:08:55,230
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+97
+00:08:55,230 --> 00:09:00,090
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+98
+00:09:00,090 --> 00:09:00,110
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+99
+00:09:00,110 --> 00:09:05,170
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+100
+00:09:05,170 --> 00:09:12,340
+مثل مثunit مقدار المجموعة تبعته واحدة واحدة normal
+
+101
+00:09:12,340 --> 00:09:18,300
+متعاند unit normal vector for a triangle لأي
+
+102
+00:09:18,300 --> 00:09:22,640
+مسلسل؟ لأي مسلسل؟ الآن انا افترضت ان هي المسلسل
+
+103
+00:09:22,640 --> 00:09:32,800
+المظلل بين B1 وB2 ونقص الاتقاها B3 بدي
+
+104
+00:09:32,800 --> 00:09:36,670
+اجيب ال vector المتعاند هنا يا شباببدي اجيب ال T
+
+105
+00:09:36,670 --> 00:09:41,550
+ال T vector متعاند Normal و بعدين المرحلة التانية
+
+106
+00:09:41,550 --> 00:09:45,790
+بدي احسبله ال magnitude عشان احوله ل unit vector
+
+107
+00:09:45,790 --> 00:09:51,850
+كيف نحلها انا هاي مديلي اهو قيمة ال R و مديلي
+
+108
+00:09:51,850 --> 00:10:01,110
+اتنينة ال S بقى عليها اروح اضرب اضبط T تساوي
+
+109
+00:10:07,160 --> 00:10:18,380
+واحد فى اتنين لاقص صفر فى K اتنين I لاقص قبل K
+
+110
+00:10:18,380 --> 00:10:23,560
+يعني بالان نحتفظ هدول مش موجودات فكيف نتعامل معاهم
+
+111
+00:10:23,560 --> 00:10:31,120
+سالب واحد فى اتنين سالب اتنين لاقص صفر سالب اتنين
+
+112
+00:10:31,120 --> 00:10:36,640
+J وعندي سالب اتنين J
+
+113
+00:11:04,550 --> 00:11:05,950
+جيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجي
+
+114
+00:11:08,160 --> 00:11:16,480
+عشان هيك طيب اعيد تاني قولنا يا صاحبي بس خليني اجي
+
+115
+00:11:16,480 --> 00:11:21,520
+هنا شوية قولنا اي متجه احنا لو كتبناها اي متجه R
+
+116
+00:11:21,520 --> 00:11:30,820
+يساوي A وB وC هاد كتبناها قبل لحظات وS تساوي D وE
+
+117
+00:11:30,820 --> 00:11:37,570
+وF هدول المتجهينإذا أنا بدي أضربهم في بعض ك cross
+
+118
+00:11:37,570 --> 00:11:41,690
+product ضرب متجهي بيعطيني vector اسمه T و ال
+
+119
+00:11:41,690 --> 00:11:47,430
+vector هذا متعاند عليهم بحيث انه هذه المراكبة
+
+120
+00:11:47,430 --> 00:11:52,910
+الأولى I التي بتجاه ال X axis وهذه ال J بتجاه ال Y
+
+121
+00:11:52,910 --> 00:11:58,310
+axis وهذه ال K بتجاه ال Z و هذين سمناهم Cartesian
+
+122
+00:11:58,310 --> 00:12:03,690
+vectors يعني أنا بقدر اكتبه الشكل هذاA في I زائد B
+
+123
+00:12:03,690 --> 00:12:07,110
+في J زائد C في K ال vector اللي عندي لما انا بحصل
+
+124
+00:12:07,110 --> 00:12:12,130
+ضرب هم يقولنا بكل بساطة بكل بساطة بروح الآن هجيب
+
+125
+00:12:12,130 --> 00:12:16,730
+قيمة ال I لها بخفي
+
+126
+00:12:16,730 --> 00:12:27,750
+ال I و بضرب B في F ناقص B F ناقص CE في I ناقص
+
+127
+00:12:29,520 --> 00:12:34,380
+القيمة التانية في الـ J بخبّ الـ J A في F مقص DC
+
+128
+00:12:34,380 --> 00:12:38,140
+في
+
+129
+00:12:38,140 --> 00:12:42,500
+الـ J زائد القيمة الأخيرة في الـ K بخبّ عناصر الـ
+
+130
+00:12:42,500 --> 00:12:50,460
+K A E مقص D D اللي أنا لما اثّلت عليها او حولت
+
+131
+00:12:50,460 --> 00:12:53,060
+رسومك فيها بشكل سريع و قلتلك اتخيل ان هي
+
+132
+00:12:53,060 --> 00:13:03,990
+determinant I عفوا I و Jو K A B C D E F وحل ال
+
+133
+00:13:03,990 --> 00:13:07,290
+determinant هذا باعتمادك على الصفر الأول بتجيب
+
+134
+00:13:07,290 --> 00:13:11,270
+المعادلة اللي موجودة عندها فاحنا مباشر روحنا جيبنا
+
+135
+00:13:11,270 --> 00:13:16,290
+القيم اللي موجودة وبالتالي صارت T عندي هان تساوي
+
+136
+00:13:16,290 --> 00:13:26,650
+2I زائد 2J زائد K الان ال vector هي موجود عندي
+
+137
+00:13:26,650 --> 00:13:28,710
+وهذا ال vector متعاند
+
+138
+00:13:31,130 --> 00:13:34,690
+على ال two vectors او على الصبح اللي شكل ال two
+
+139
+00:13:34,690 --> 00:13:39,630
+vectors على نقطة ال T سبعتهم تمام وبالتالي انا
+
+140
+00:13:39,630 --> 00:13:47,050
+حققت مضمون من التنين normal عشان اجيب unit بدأوا
+
+141
+00:13:47,050 --> 00:13:52,750
+يحسبوا ال magnitude ال magnitude لل T تساوي الجدر
+
+142
+00:13:52,750 --> 00:14:00,010
+التربيعي تنين تربيع زائدكمان اتنين تربيع زائد واحد
+
+143
+00:14:00,010 --> 00:14:07,150
+تربيع تساوي جدر التسعة تلاتة خلصنا؟ لا مخلصناش
+
+144
+00:14:07,150 --> 00:14:17,730
+الآن باجي بقوله ال T hat ال T hat الآن عبارة على
+
+145
+00:14:17,730 --> 00:14:23,910
+unit قولنا ال hat هذا نمزي ال unit تساوي اتنين
+
+146
+00:14:23,910 --> 00:14:30,820
+على تلاتة المركبة الأولىوالمُركّبة التالية 2 على 3
+
+147
+00:14:30,820 --> 00:14:35,920
+والمُركّبة التالتة 1 على 3 ليش مصرش .. إيش معنى
+
+148
+00:14:35,920 --> 00:14:39,960
+هذا بيغيره يعني؟
+
+149
+00:14:39,960 --> 00:14:44,560
+تمام يا شباب؟ وبهيك بيصير أنا حصلت على unit normal
+
+150
+00:14:44,560 --> 00:14:47,580
+vector أخبرهم اللي عامل ماضي أجيب السؤال زي هذا
+
+151
+00:14:47,580 --> 00:14:53,480
+السؤال قلتلهم هتقول unit normal vector في
+
+152
+00:14:53,480 --> 00:14:59,360
+السؤال هذا فعليا الصحاب فاضي مع انهبسيط جدا يعني
+
+153
+00:14:59,360 --> 00:15:04,240
+كنت مستغرب ليش .. ليش فعلا هذا السؤال مافيش ..
+
+154
+00:15:04,240 --> 00:15:08,620
+مايقبش ولا حل مع انه كمان مرة متاح في عندي two
+
+155
+00:15:08,620 --> 00:15:14,700
+vectors اضربهم في بعض تمام احسب ال magnitude و
+
+156
+00:15:14,700 --> 00:15:18,200
+عادة الشباب لو حققت عليه ثلاث علامات لو حققت عليه
+
+157
+00:15:18,200 --> 00:15:23,200
+ثلاث علامات مقت علامة على ال cross product و علامة
+
+158
+00:15:23,200 --> 00:15:28,020
+على ال magnitude و علامة علىالـ unit و كان الله
+
+159
+00:15:28,020 --> 00:15:31,860
+بالسر عليه بقول
+
+160
+00:15:31,860 --> 00:15:40,020
+مش خفت و لا مابقعد بطلت من زمان طيب
+
+161
+00:15:40,020 --> 00:15:52,960
+طيب
+
+162
+00:15:55,190 --> 00:15:58,850
+كان في انا موضوع تاني شوفنا لما اتكلمنا على ال
+
+163
+00:15:58,850 --> 00:16:02,710
+polygons او ال 2D polygons و 3D shapes و قلتلك
+
+164
+00:16:02,710 --> 00:16:07,490
+احسبلي مساحة المسطح او مساحة ال polygons هذا مع ال
+
+165
+00:16:07,490 --> 00:16:12,830
+2D shapes اذا بتتذكر لما كنت بقولك انه انا في عند
+
+166
+00:16:12,830 --> 00:16:20,790
+بي واحد X واحد Y واحد X اتنين Y اتنين X تلاتة Y
+
+167
+00:16:20,790 --> 00:16:26,440
+تلاتة كنت بقولك انه ال area اللي بتشكل منمع النقاط
+
+168
+00:16:26,440 --> 00:16:32,020
+هذه و جاك سؤال في الامتحان هى اللى مع او ضد عقارب
+
+169
+00:16:32,020 --> 00:16:36,880
+الساعة مصبوط كنت بقولك احسب ال area اذا انا ايش
+
+170
+00:16:36,880 --> 00:16:50,740
+كنا نقول يساوي هى نص اكس
+
+171
+00:16:50,740 --> 00:17:06,230
+واحد في Y2 ناقصx2 في y1 زائد x2 y3 نقص x3 y2 زائد
+
+172
+00:17:06,230 --> 00:17:14,910
+الآن x3 خلصت
+
+173
+00:17:14,910 --> 00:17:20,710
+المسألة صح؟ و لو قلت معاك الإشارة سالبة المساحة
+
+174
+00:17:20,710 --> 00:17:25,940
+تلاتة مثلا تلاتة مهات المساحة تلاتةعكس عقارب
+
+175
+00:17:25,940 --> 00:17:30,720
+الساعة وانت بيه لو انا جبت .. جبتلك سؤال في الصح و
+
+176
+00:17:30,720 --> 00:17:36,560
+غلط او في الاختيار من المتعدد و كتبتلك ال area و
+
+177
+00:17:36,560 --> 00:17:41,060
+المساحة بتاعة ال polygon المشكل بالنقاط هذا هتوح
+
+178
+00:17:41,060 --> 00:17:45,700
+تحسبها انت تمام و تختار سالب تلاتة ولا تلاتة ولا
+
+179
+00:17:45,700 --> 00:17:48,040
+واحدة ولا واحدة من الإجابة هتحطلك أي قيمة تانية
+
+180
+00:17:48,040 --> 00:17:54,020
+اذا حطيت سالب تلاتة غلطلأن الـ Area أو المساحة
+
+181
+00:17:54,020 --> 00:17:58,940
+مستحيل تكون بالسالب مستحيل تكون بالسالب فقلنا إحنا
+
+182
+00:17:58,940 --> 00:18:02,920
+الإشارة بس عشان تقولني ما ترتيب ال sequence أو ال
+
+183
+00:18:02,920 --> 00:18:07,320
+chain تبعتي هذه مع أو ضد عقاري بالساعة بس مش أكتر،
+
+184
+00:18:07,320 --> 00:18:15,820
+تمام فبهذا القانون من وجهه باعتماد
+
+185
+00:18:15,820 --> 00:18:19,600
+على الضرب المتجهي للنقاط اللي موجودة عني الآن لأن
+
+186
+00:18:19,600 --> 00:18:24,750
+أي أدريجهمهو عبارة عن ايش؟ بجموعهم من النقاط لو
+
+187
+00:18:24,750 --> 00:18:30,790
+انا كل two lines محصور بين .. يعني خدت تلت نقاط
+
+188
+00:18:30,790 --> 00:18:36,110
+ورا بعض الأولى و التانى و التالتى هدى واحد و هدى
+
+189
+00:18:36,110 --> 00:18:39,030
+واحد و اعتبرت بيه اتنين هي ال tail بقى أصبحت بتكلم
+
+190
+00:18:39,030 --> 00:18:43,850
+على متجهات بصبرت؟ أصبحت بتكلم على متجهات و
+
+191
+00:18:43,850 --> 00:18:47,850
+المتجهات هذه إذا أنا ضربته في بعضك ده بأتكلم على
+
+192
+00:18:47,850 --> 00:18:52,900
+مساحة بشكل أهم بيقولليلو كان انا فيه عندى two
+
+193
+00:18:52,900 --> 00:18:56,820
+vectors مثل
+
+194
+00:18:56,820 --> 00:19:03,060
+اللى فى الراسم هان بغض النظر عن أقوالهم ال height
+
+195
+00:19:03,060 --> 00:19:07,580
+الارتفاع تبع ال two vectors هان مابقدش اللى بتشكل
+
+196
+00:19:07,580 --> 00:19:13,410
+هانممتازة ماتجهين ما هي توجهله بدل من التقيوم اذا
+
+197
+00:19:13,410 --> 00:19:15,950
+بتتكلم على كارتين cross product بتجمع ال tails مع
+
+198
+00:19:15,950 --> 00:19:20,010
+بعضهم اتكلم على ضرب متجهات بده اجمع ال tails جمعت
+
+199
+00:19:20,010 --> 00:19:23,930
+ال tails مع بعض صار في عندي مثلث و بصير مثلث قائم
+
+200
+00:19:23,930 --> 00:19:28,410
+ازاي لو انا اصطفط عمود من ناقص ال S على ال R زي
+
+201
+00:19:28,410 --> 00:19:32,450
+اللي في راسي ماعندي هنا الان ال H كده اش تقول يا
+
+202
+00:19:32,450 --> 00:19:39,360
+شباب كده اش تفهى ال Hفي مثلث قائم الزاوية ال H ايش
+
+203
+00:19:39,360 --> 00:19:47,320
+تساوي؟ ال H ايش تساوي؟ عند
+
+204
+00:19:47,320 --> 00:19:51,280
+دلعين و زاوية بقدرش انا هطبق فيه ثغرص بطبق قانون
+
+205
+00:19:51,280 --> 00:19:55,640
+ال ratios بطبق ال sine الان هذا المقابل وهو فيه
+
+206
+00:19:55,640 --> 00:20:01,120
+عند ال S اللي هو بمثل ايش؟ S غلط ال magnitude تبعت
+
+207
+00:20:01,120 --> 00:20:04,790
+ال Sلأن انا بتتكلم على قيمة هيك بتكون الأمور صحي
+
+208
+00:20:04,790 --> 00:20:10,790
+معتصر معتصر تمام بتكون هيك الأمور صح طيب و لكن انت
+
+209
+00:20:10,790 --> 00:20:14,710
+بتقول لي S معناته S غلط S لان S متتابع عندك فانت
+
+210
+00:20:14,710 --> 00:20:17,850
+بتتكلم على ال magnitude تبعته معناته ال H هذه
+
+211
+00:20:17,850 --> 00:20:26,290
+تساوي ال magnitude تبعت ال S في sign ال beta من
+
+212
+00:20:26,290 --> 00:20:30,390
+اين اجبته sign beta تساوي
+
+213
+00:20:33,410 --> 00:20:40,470
+المقابل على الوطر المثلث
+
+214
+00:20:40,470 --> 00:20:46,990
+قائم الزاوية هى الوطر وبالتالي H ساية magnitude S
+
+215
+00:20:46,990 --> 00:20:52,630
+في ساية بيتر اذا انا حصلت ارتفاع بقى درجات تحت
+
+216
+00:20:52,630 --> 00:20:53,450
+المثلث هدولة
+
+217
+00:20:56,540 --> 00:21:00,580
+بقدر اجيبه صار فيه عند البلعين طيب ماشي الحال مش
+
+218
+00:21:00,580 --> 00:21:04,940
+صار فيه عند البلعين ومثلق قاعد الزاوية بستخدم فيه
+
+219
+00:21:04,940 --> 00:21:07,940
+ثقرص عشان اجيب البلعي التالت اذا انا بقبق مساحة
+
+220
+00:21:07,940 --> 00:21:11,680
+المثلث نصف القاعدة في الارتفاع اصبعه؟ الان بقدر
+
+221
+00:21:11,680 --> 00:21:16,410
+اجيب هذه الجزئيةولا شو رأيكوا؟ عند الـH معروفة
+
+222
+00:21:16,410 --> 00:21:19,230
+وعند الـS، ال magnitude تبع الـS معروفة، بقول إن
+
+223
+00:21:19,230 --> 00:21:21,170
+أحسب هذي الاسم، بعتمد عليه في التغورص، وبجيب
+
+224
+00:21:21,170 --> 00:21:25,110
+القيمة الموجودة، بقول عندي مساحة المثلث تساوي نص
+
+225
+00:21:25,110 --> 00:21:32,190
+الطاعدة نص ال base في الارتفاع لكن
+
+226
+00:21:32,190 --> 00:21:40,030
+في عندي أنا قانون لأي متوازي أطلع مساحة متوازي
+
+227
+00:21:40,030 --> 00:21:46,050
+الأطلعش تساوي شبابمساحة متوازي الأضلاع مرض عليك؟
+
+228
+00:21:46,050 --> 00:21:50,130
+المستقيل
+
+229
+00:21:50,130 --> 00:21:57,110
+مختلف الآن المستقيل تاخد الطول في العرض بتجيبه أو
+
+230
+00:21:57,110 --> 00:21:59,630
+الارتفاع في العرض مش قابلنا كتير بتسميها بمصطلحات
+
+231
+00:21:59,630 --> 00:22:04,070
+ال length في ال width في الآخر لكن لما أنا بتكلم
+
+232
+00:22:04,070 --> 00:22:11,030
+على متوازي أضلاع مش هتمشي الأمور بالشكل هذا الحل
+
+233
+00:22:11,030 --> 00:22:12,150
+بتجسمه ليه؟
+
+234
+00:22:18,610 --> 00:22:25,490
+مثلثين ومستقيل مثلثين ومستقيل هذه تساوي مساحة هذا
+
+235
+00:22:25,490 --> 00:22:30,270
+وضع الدي المستقيل هذا بقدر انا احسبه اذا بتفكر
+
+236
+00:22:30,270 --> 00:22:33,510
+بالشكل هذا لكن في عندك قانون اسهل من هيك مساحة
+
+237
+00:22:33,510 --> 00:22:39,090
+متوازل أطلع تساوي القاعدة
+
+238
+00:22:40,800 --> 00:22:48,480
+التي هي ال magnitude تبع ال R في الارتفاع ال H
+
+239
+00:22:48,480 --> 00:22:55,880
+اللي حسبته هان وهي موجودة على قيم المستقيم او ال
+
+240
+00:22:55,880 --> 00:23:00,820
+vector R T ال vector R هتكون هان من البداية
+
+241
+00:23:00,820 --> 00:23:03,300
+الارتفاع هان هتكون ثابت للنهاية
+
+242
+00:23:10,860 --> 00:23:16,580
+الارتفاع كانت تساوي عن مال الحسبينها ال magnitude
+
+243
+00:23:16,580 --> 00:23:25,520
+لل S في sin بيتا طيب صارت عندي ال area تساوي ال
+
+244
+00:23:25,520 --> 00:23:29,880
+magnitude تبع ال R في ال magnitude تبع ال S في sin
+
+245
+00:23:29,880 --> 00:23:33,980
+الزاوية اللي بينهم اللي بين بصين
+
+246
+00:23:37,310 --> 00:23:41,810
+الـ magnitude تبعت ال cross product بين الاتنين ال
+
+247
+00:23:41,810 --> 00:23:45,450
+magnitude تبعت ال cross product بين two vectors
+
+248
+00:23:45,450 --> 00:23:59,650
+بالمثال السابق لو أنا سألتك بس
+
+249
+00:23:59,650 --> 00:24:09,270
+النقاط هم بيقول إيه؟حسبنا الـ T تساوي 2I زائد 2J
+
+250
+00:24:09,270 --> 00:24:21,250
+زائد K مظبوط؟ 2K زائد 2J زائد K الآن
+
+251
+00:24:21,250 --> 00:24:27,050
+ال magnitude للـ T قلعت
+
+252
+00:24:27,050 --> 00:24:31,770
+تلاتة قلعت تلاتة وبتعالي نحسب
+
+253
+00:24:35,240 --> 00:24:38,620
+بضال علي اجيب الزاوية اذا انا بدي مصبوط اجيب
+
+254
+00:24:38,620 --> 00:24:42,560
+الزاوية بين التنين وبالتالي انا بقدر اجيب او اثبت
+
+255
+00:24:42,560 --> 00:24:46,860
+لك ان القيمة تساوي تلاتة اذا احنا كنا بنتكلم على
+
+256
+00:24:46,860 --> 00:24:53,960
+مثلث في ال triangle مساحة
+
+257
+00:24:53,960 --> 00:25:01,400
+المثلث تمام هي نص مساحة متوازى الأضواء اللى موجود
+
+258
+00:25:01,400 --> 00:25:05,370
+عندى هناطب شو علاقة القانون هذا بالقانون السابق
+
+259
+00:25:05,370 --> 00:25:10,070
+اللي احنا شوفناه مع النقاط هاي
+
+260
+00:25:10,070 --> 00:25:16,190
+النقطين لما احنا اتكلمنا هاي في عند نقاط B1,B2,B3
+
+261
+00:25:16,190 --> 00:25:23,850
+او B0,B1,B2 وB0 مثلة ال tails تمام ال two vectors
+
+262
+00:25:26,410 --> 00:25:31,910
+بواحد و باتنين و بما ان الترتيب اللى عندي انا جاي
+
+263
+00:25:31,910 --> 00:25:39,930
+عكس عقارب الساعة تمام ترتيب المساحة لازم القيمة
+
+264
+00:25:39,930 --> 00:25:43,550
+اللى تطلع معايا في الحسبة تطلع موجبة تمام اللى انا
+
+265
+00:25:43,550 --> 00:25:44,770
+بدي ا public عليها
+
+266
+00:25:47,760 --> 00:25:53,000
+الضرب المتجهين ومتنساش ان المثلث as a polygon له
+
+267
+00:25:53,000 --> 00:25:56,980
+ميزة عن كل الأشكال ان في الـ2D بظل planner يعني
+
+268
+00:25:56,980 --> 00:26:01,400
+بتلاقيه دائما موجود على محورين فقط بتلاقي المثلث
+
+269
+00:26:01,400 --> 00:26:07,240
+موجود دائما على محورين فقط عشان هيك انا بدي افترض
+
+270
+00:26:07,240 --> 00:26:12,320
+ان الـZها equal صفر وبالتالي B1 لو انا هيك الآن
+
+271
+00:26:12,320 --> 00:26:16,100
+المتجه R ايه شو ساوي شباب؟
+
+272
+00:26:18,980 --> 00:26:29,620
+بالنسبة للنقاط اللي عندي بالتجارة R X1-X0 Y1
+
+273
+00:26:29,620 --> 00:26:41,640
+-Y0 S X2-X0 Y2-Y0
+
+274
+00:26:42,430 --> 00:26:45,470
+اذا انا بدي اطبق احسب المساحة هاي بدي اطبق قانون
+
+275
+00:26:45,470 --> 00:26:49,670
+نين يا شباب قانون cross product بين المتجهين cross
+
+276
+00:26:49,670 --> 00:26:56,470
+product بين المتجهين ايش
+
+277
+00:26:56,470 --> 00:27:04,110
+تساوي R cross ال S غلط
+
+278
+00:27:04,110 --> 00:27:08,430
+انت الآن بدي تحسب ال magnitude تلاته اه اذا بدي
+
+279
+00:27:08,430 --> 00:27:13,490
+تحسب ال magnitude okayالان المعتصم بيقول ..
+
+280
+00:27:13,490 --> 00:27:16,910
+المعتصم
+
+281
+00:27:16,910 --> 00:27:19,930
+بيقول كانت تالي انا بحاجة فعليا ال T هي ال
+
+282
+00:27:19,930 --> 00:27:23,870
+magnitude تمام؟ وبالتالي انا مافيش داعي ان اروح
+
+283
+00:27:23,870 --> 00:27:29,670
+اضرب التجاهين .. المتجاهين برب اتجاهي شو رأيكوا في
+
+284
+00:27:29,670 --> 00:27:34,950
+الكلام؟ المعتصم بيقول انا مباشرة بروح بحسب ال
+
+285
+00:27:34,950 --> 00:27:36,870
+magnitude مين بيأيد المعتصم؟
+
+286
+00:27:39,150 --> 00:27:45,990
+ولا حد ايش مصبور عليه بتقايل معتصم ولا لأ انت انت
+
+287
+00:27:45,990 --> 00:27:49,490
+اللي حكيها معتصم ولا عليه لأ لأ معتصم حكى جبل الان
+
+288
+00:27:49,490 --> 00:27:54,010
+معتصم في مشكلة ان ال T هذه مش هتحصل عليها الا لما
+
+289
+00:27:54,010 --> 00:28:00,090
+تنفذ الضرب الا لما تنفذ الضرب ماتنساش تمام الان
+
+290
+00:28:00,090 --> 00:28:08,870
+انا هو مديك R ومديك S وRعفوًا T تساوي R cross ال S
+
+291
+00:28:08,870 --> 00:28:13,930
+ضرب متجهي فانت بتقدر بضرب اتجاهي في الأول بعدين
+
+292
+00:28:13,930 --> 00:28:19,430
+تجيب ال magnitude و بعدين تجيب ال magnitude أيوة
+
+293
+00:28:19,430 --> 00:28:25,430
+ايش ما بتقوله علي و
+
+294
+00:28:25,430 --> 00:28:29,130
+ال beta اللي بينهم الزاوية وين
+
+295
+00:28:51,070 --> 00:28:54,750
+بس انت ناسي على ان هذا أساسا مش موجود عندك
+
+296
+00:28:57,410 --> 00:29:01,270
+الان انت باكي تجيب الزاوية لازم التلت عناصر أو
+
+297
+00:29:01,270 --> 00:29:04,470
+التلت قيامة بتتوفر في الحالة اللي احنا بيتكلم فيها
+
+298
+00:29:04,470 --> 00:29:10,890
+جاعدين لا موجود زاوية ولا موجود product إلا لو انت
+
+299
+00:29:10,890 --> 00:29:16,310
+روح الدروس بتضرب متجهي بكمل، مين بيكمل يا شباب؟
+
+300
+00:29:16,310 --> 00:29:20,930
+بدك تتخيل .. تتخيل
+
+301
+00:29:24,230 --> 00:29:28,530
+فى زبدة عشان تصبق معاك عملية الضرب بظبط بدك تتخيل
+
+302
+00:29:28,530 --> 00:29:38,070
+ان عملية الضرب عشان تصبق معاك يساوي R كرس ال S ال
+
+303
+00:29:38,070 --> 00:29:48,470
+I بيقول ان احنا بنخب ال I I I J K صفر في ال I رح
+
+304
+00:29:48,470 --> 00:29:52,550
+أدروا ال R تمام و صفر يعني J
+
+305
+00:29:55,430 --> 00:30:00,490
+ببقى اللي عندي ال K ال
+
+306
+00:30:00,490 --> 00:30:04,910
+K
+
+307
+00:30:04,910 --> 00:30:10,070
+بقترب من في مين يا شباب يعني
+
+308
+00:30:10,070 --> 00:30:19,050
+هتصير في عندي انا الآن X1-X0 مضروبة في Y2 Y0 معقص
+
+309
+00:30:22,030 --> 00:30:32,590
+X2-X0 مضروبة في Y1 Y0 في
+
+310
+00:30:32,590 --> 00:30:39,130
+K الان لما انا ابدأ افكر بال magnitude ما اي حاجة
+
+311
+00:30:39,130 --> 00:30:44,770
+بصير معتصم ليش؟ انا خلاص صارت هذه القيمة الان
+
+312
+00:30:44,770 --> 00:30:51,860
+هتكون القيمة هذههي عبارة عن scalar value X Y
+
+313
+00:30:51,860 --> 00:30:56,440
+مضروحات من بعض و مضروبات بس حساب طيب المجنتيوت
+
+314
+00:30:56,440 --> 00:31:01,960
+لهذا هو عبارة عن القيمة هذه في مجنتيته تبع T
+
+315
+00:31:01,960 --> 00:31:05,800
+الفكتور مجنتيوت T الفكتور جداش ال K واحد بكون احنا
+
+316
+00:31:05,800 --> 00:31:13,280
+وصلنا للي بدنا ياما تصفر تمام؟ الآن معناته
+
+317
+00:31:13,280 --> 00:31:21,630
+مجنتيته Tتساوي الا كده هخلص منها انا هم ولا لا بس
+
+318
+00:31:21,630 --> 00:31:31,670
+ده اللي علي اضربني X1 في Y2 ناقص X1
+
+319
+00:31:31,670 --> 00:31:44,030
+في Y0 ناقص X صفر اه الان بك تاخد النقص لمين؟Okay X
+
+320
+00:31:44,030 --> 00:31:52,370
+صفر في Y اتنين مستين تابعي X صفر اه لو الان ال
+
+321
+00:31:52,370 --> 00:31:56,130
+cash تاخدها عامل مشترك بدك تسيبها بدك تنتبه طبعا
+
+322
+00:31:56,130 --> 00:32:02,530
+اذا انت الان قاعد بحك الاجباز قاعد بضرب
+
+323
+00:32:06,180 --> 00:32:10,060
+أدرب بالسالب و أدرب بالموجة بس بدك تنتبه كمان مرة
+
+324
+00:32:10,060 --> 00:32:16,480
+انت روحت عشان اسمك جالك هذه سالم هي فعلا زائد ادرب
+
+325
+00:32:16,480 --> 00:32:23,400
+و أدرب سالم سالم X0 في Y2 سالم في زائد سالم موجة
+
+326
+00:32:23,400 --> 00:32:27,360
+زائد X0 في Y0
+
+327
+00:32:39,830 --> 00:32:51,290
+بعد قانون السابق يتشكل معانا X1Y2-X2Y1
+
+328
+00:32:55,340 --> 00:32:59,500
+وبتكمل في ان اتحلل الاناصر اللي موجودة عندى هان و
+
+329
+00:32:59,500 --> 00:33:03,520
+بقى عندى احلل القوس التانى هذا الان بين القوسين
+
+330
+00:33:03,520 --> 00:33:16,340
+سالب ماعندي مشكلة فيها X2 Y1 ماقص X2 Y0 نفس الكلام
+
+331
+00:33:16,340 --> 00:33:31,850
+زائد X0 Y1 سالب عفوازائد X0 Y0 الآن اعيد ترتيب
+
+332
+00:33:31,850 --> 00:33:35,490
+المسألة اللى عندك هتكون حصلنا على القانون السابق
+
+333
+00:33:35,490 --> 00:33:41,650
+اللى فيه تلت نقاط X0 B0 B1 وB2 وحصلنا على القانون
+
+334
+00:33:41,650 --> 00:33:50,110
+اللى احنا شوفنا وين اه لأ احنا اتفقنا الآن ان ال T
+
+335
+00:33:50,110 --> 00:33:57,780
+اصبر ال T تساوي ال T تساوي اه عفواالان بدي
+
+336
+00:33:57,780 --> 00:34:03,720
+magnitude of T تساوي ال magnitude لهذه لما هي قيمة
+
+337
+00:34:03,720 --> 00:34:09,480
+scalar طلعتها برا صارت الأقواس في ال magnitude of
+
+338
+00:34:09,480 --> 00:34:14,020
+K ال magnitude of K واحد عشان ايه انا عايش استغلت
+
+339
+00:34:14,020 --> 00:34:21,120
+عنها ال T
+
+340
+00:34:21,120 --> 00:34:27,150
+فيه اتجاه متعالج على المتلف اللي عنديالـ T متعامد
+
+341
+00:34:27,150 --> 00:34:31,250
+على المثلث اللي عندي مصبوط احنا الآن اتفقنا ان هم
+
+342
+00:34:31,250 --> 00:34:36,290
+هتقسم هاي
+
+343
+00:34:36,290 --> 00:34:42,910
+ال R وهي ال S لما انا بعمل R cross ال S تساوي T
+
+344
+00:34:42,910 --> 00:34:50,790
+متعامد عليهم هاي اتجاهه ال magnitude تبعته تساوي
+
+345
+00:34:50,790 --> 00:34:55,810
+ال magnitude لل R في ال magnitude لل Sفى الـ sign
+
+346
+00:34:55,810 --> 00:35:03,430
+الزاوية اللى بينهم طبعا و عاملا احنا نجيب قيمة ال
+
+347
+00:35:03,430 --> 00:35:06,850
+magnitude تبعته مما ان هو مبتدأ باعتمادى على ال I
+
+348
+00:35:06,850 --> 00:35:09,270
+و ال J و ال K و روح نجيب تى ال magnitude تبعته
+
+349
+00:35:09,270 --> 00:35:12,210
+المعناته انا مش بحاجة لأحسب القيم اللى موجودة عندى
+
+350
+00:35:12,210 --> 00:35:12,330
+هنا
+
+351
+00:35:47,340 --> 00:35:52,200
+الاخر نقطة كانت في ال chapter اللى موجود عندنا ده
+
+352
+00:35:52,200 --> 00:35:55,840
+اللى فيه عندنا ك example موجود في الكتاب بسيطات
+
+353
+00:35:55,840 --> 00:36:05,840
+اقولك على سبيل المثال هد ال magnitude للمتجه هد ال
+
+354
+00:36:05,840 --> 00:36:08,300
+magnitude لل position vector
+
+355
+00:36:17,680 --> 00:36:21,260
+الان كمان مرة بقولك هاتلي ال magnitude لل position
+
+356
+00:36:21,260 --> 00:36:28,740
+vector P اللي هو على النقطة أربع خمسة ستة شو يعني
+
+357
+00:36:28,740 --> 00:36:33,040
+position vector؟ اه صعيب شو يعني position vector؟
+
+358
+00:36:33,040 --> 00:36:40,760
+مش فاهم حاجة مش مشكلة ايوة كامل مش موجود اليوم؟
+
+359
+00:36:42,180 --> 00:36:46,300
+بوزيشن فيكتور ان هذا الـ tail تبعت ال vector هذا
+
+360
+00:36:46,300 --> 00:36:51,960
+هي ال origin point نقطة الأصل بوزيشن فيكتور ان ال
+
+361
+00:36:51,960 --> 00:36:56,760
+tail تبعت ال b ال vector هذا نقطة الأصل بما ان هذا
+
+362
+00:36:56,760 --> 00:37:04,940
+tail بي .. معناته صفر و صفر و صفر اربع على الصفر
+
+363
+00:37:04,940 --> 00:37:11,090
+هي ال vector بيه الآن بيه as a vectorأربعة ناقص
+
+364
+00:37:11,090 --> 00:37:20,010
+صفر أربعة خمسة ناقص صفر خمسة ستة ناقص صفر ستة هاي
+
+365
+00:37:20,010 --> 00:37:26,590
+عملت ال vector الآن لأنه كان مديني بق فقط نقطة خُط
+
+366
+00:37:26,590 --> 00:37:31,310
+السؤال يعني هذا السؤال شباب فيه مطموبين مطموب
+
+367
+00:37:31,310 --> 00:37:35,150
+الأول تكتب ليه vector وهيه ال vector تبعنا بما أن
+
+368
+00:37:35,150 --> 00:37:38,070
+هو position vector هيه النقطة التانية المجنتين
+
+369
+00:37:38,070 --> 00:37:38,590
+تبعته
+
+370
+00:37:41,790 --> 00:37:47,430
+ما هي المجموعة يا صاحي؟ الجذر التربيعي للعناصر أو
+
+371
+00:37:47,430 --> 00:37:59,170
+للتربيعات العناصر الموجودة 16 25 36 77
+
+372
+00:38:07,710 --> 00:38:17,470
+كيف عشرين فاصلة مش عارف جديش عليه جدر
+
+373
+00:38:17,470 --> 00:38:22,390
+الجدر السبع و سبعين جديش تمانية و حاجة انا اربع و
+
+374
+00:38:22,390 --> 00:38:30,770
+ستين جدر الاربع و ستين تمانية صح هذا اكبر ستة عشر8
+
+375
+00:38:30,770 --> 00:38:35,350
+.4 تقريبا او 8.3 مش قضية كتير هتكون بالنسبة لنا بس
+
+376
+00:38:35,350 --> 00:38:41,250
+في الامتحان فيه عندك calculator اكتر من خمسة اقرب
+
+377
+00:38:41,250 --> 00:38:49,190
+لواحد يقدر تعمل واحد 8.7 مش
+
+378
+00:38:49,190 --> 00:38:53,290
+قضية في الامتحان فيه معاك calculator في الامتحان
+
+379
+00:38:53,290 --> 00:38:57,730
+فيه معاك calculator تمام و بدك تحكم القيمة الصحية
+
+380
+00:38:57,730 --> 00:39:06,350
+هتطلع بال calculatorطيب اللي بعده اذا كان رقم عشري
+
+381
+00:39:06,350 --> 00:39:09,790
+ايه لو كتير اعداد ادخل او اخد او اتلال او اتدخل او
+
+382
+00:39:09,790 --> 00:39:11,070
+اتدخل او اتدخل اتدخل اتدخل اتدخل اتدخل اتدخل اتدخل
+
+383
+00:39:11,070 --> 00:39:12,250
+اتدخل اتدخل اتدخل اتدخل اتدخل اتدخل اتدخل اتدخل
+
+384
+00:39:12,250 --> 00:39:18,390
+اتدخل اتدخل
+
+385
+00:39:18,390 --> 00:39:25,510
+ات
+
+386
+00:39:26,770 --> 00:39:29,670
+مرة برقنا من الأخير خمسة .. خمسة .. خمسة .. خمسة
+
+387
+00:39:29,670 --> 00:39:30,390
+.. خمسة .. خمسة .. خمسة .. خمسة .. خمسة .. خمسة ..
+
+388
+00:39:30,390 --> 00:39:32,210
+خمسة .. خمسة .. خمسة .. خمسة .. خمسة .. خمسة ..
+
+389
+00:39:32,210 --> 00:39:32,590
+خمسة .. خمسة .. خمسة .. خمسة .. خمسة .. خمسة ..
+
+390
+00:39:32,590 --> 00:39:34,750
+خمسة .. خمسة .. خمسة .. خمسة .. خمسة .. خمسة ..
+
+391
+00:39:34,750 --> 00:39:38,150
+خمسة .. خمسة .. خمسة .. خمسة .. خمسة .. خمسة ..
+
+392
+00:39:38,150 --> 00:39:44,550
+خمسة .. خمسة .. خمسة .. خمسة .. خمسة .. خمسة ..
+
+393
+00:39:44,550 --> 00:39:51,410
+خمسة .. خمسة .. خمسة
+
+394
+00:39:53,360 --> 00:39:57,000
+قال هو اكون معاكوا صريح يا شباب اول مرة في تاريخ
+
+395
+00:39:57,000 --> 00:40:00,200
+من يوم اشتغلت في الجامعة ان اخطأ في امتحان فتصحيح
+
+396
+00:40:00,200 --> 00:40:05,100
+حظ ولاية حظ ولاية صح عافي يا أستاذي ماشي الحال انا
+
+397
+00:40:05,100 --> 00:40:18,160
+ايك بس كنت اه خلاص اهانة لكم مش ليه طيب طيب
+
+398
+00:40:18,160 --> 00:40:23,940
+نكمل يا شباببقول لي حسب ال magnitude او هتلي او
+
+399
+00:40:23,940 --> 00:40:32,900
+convert ال R ل unit vector magnitude
+
+400
+00:40:32,900 --> 00:40:36,500
+ال
+
+401
+00:40:36,500 --> 00:40:42,620
+R تساوي واحد
+
+402
+00:40:42,620 --> 00:40:45,580
+زائد اربعة زائد تسعة
+
+403
+00:40:48,610 --> 00:41:06,090
+الجزر الاربع عشر خلصت
+
+404
+00:41:06,090 --> 00:41:10,390
+هالمسألة خلص
+
+405
+00:41:10,390 --> 00:41:13,710
+خلص اش تسوي تسوي اللي بدك هيها بس المسألة هي خلصت
+
+406
+00:41:17,630 --> 00:41:43,630
+الار اذا انا قلتلك افضت انه مجنتيور بنتروح تاخد شو
+
+407
+00:41:43,630 --> 00:41:46,230
+ال 6 على 14 يا سلام؟ 14 على 14 بتطلع
+
+408
+00:41:54,990 --> 00:41:59,130
+لأ الان الترابير يتوزع فوق و تحت واحد على اربع
+
+409
+00:41:59,130 --> 00:42:03,270
+طعاش اربع على اربع طعاش تسعة على اربع طعاش الله يا
+
+410
+00:42:03,270 --> 00:42:14,990
+شباب وبك و كرب في الحساب تمام
+
+411
+00:42:14,990 --> 00:42:16,270
+اقتصاد؟ هيك
+
+412
+00:42:22,560 --> 00:42:28,720
+ممكن تاخد الواحد عن المشترك و اعز
+
+413
+00:42:54,920 --> 00:43:01,080
+ليه هات او احسب الزاوية اللي محصورة او هات للزاوية
+
+414
+00:43:01,080 --> 00:43:07,240
+اللي محصورة بين ال R و ال S كم
+
+415
+00:43:07,240 --> 00:43:09,360
+واحد يعرف يجيب المسألة اللي محادرة بهذه او يجيب
+
+416
+00:43:09,360 --> 00:43:14,550
+يحسب الزاوية يا شبابطيب ماشي انا بقى هى واحد اتنين
+
+417
+00:43:14,550 --> 00:43:19,890
+تلاتة اربعة خمسة والباقي انت بتعرف تجيبها كويس
+
+418
+00:43:19,890 --> 00:43:24,310
+الآن لما أقول ايه هي ات الزاوية بين ال two vectors
+
+419
+00:43:24,310 --> 00:43:30,530
+تمام مباشرة مباشرة تروح في دماغك ال magnitude اه
+
+420
+00:43:30,530 --> 00:43:35,710
+الآن magnitude ال R في magnitude ال S في كزان
+
+421
+00:43:35,710 --> 00:44:09,710
+الزاوية يساوي A في E زائدB في E زائد C في F نفس
+
+422
+00:44:09,710 --> 00:44:11,810
+الأرقام
+
+423
+00:44:26,880 --> 00:44:32,040
+لازم القانونين يستحضروا عندك لان اذا ما حسبتش هذه
+
+424
+00:44:32,040 --> 00:44:38,320
+مش هتقدر تجيب الزاوية ال magnitude تبعت ال R مابيش
+
+425
+00:44:38,320 --> 00:44:38,760
+عليه
+
+426
+00:44:43,820 --> 00:44:51,120
+والمقيمة الاسعة كزاين
+
+427
+00:44:51,120 --> 00:44:57,800
+بيتا تزاوي
+
+428
+00:44:57,800 --> 00:45:04,940
+تساوي كزاين انفرست خمسية على
+
+429
+00:45:04,940 --> 00:45:05,660
+جدر 21
+
+430
+00:45:11,850 --> 00:45:21,650
+أو فاصلة تلاتة طيب ال chapter هيك خلصة يا شباب و
+
+431
+00:45:21,650 --> 00:45:24,650
+احنا هيك نكون خلصنا مش هدخل في الموضوع الشديد
+
+432
+00:45:24,650 --> 00:45:29,570
+غالبا .. غالبا ضال عندي chapter و التاني حسب ال
+
+433
+00:45:29,570 --> 00:45:33,570
+transformation جدش نمشي فيه طبعا لأو ضال chapter
+
+434
+00:45:33,570 --> 00:45:34,310
+اين؟ الاصل
+
+435
+00:45:37,700 --> 00:45:40,760
+و C10 عارفش نقول المشكلة في الموضوع يعني في عندنا
+
+436
+00:45:40,760 --> 00:45:46,960
+ال transformation تمام هنبدأ فيه إذا خلصناها بدري
+
+437
+00:45:46,960 --> 00:45:53,720
+نبدأ في ال interpolation ما خلصناهاش ننتقل في نعم
+
+438
+00:45:53,720 --> 00:45:57,640
+عطوا
+
+439
+00:45:57,640 --> 00:45:58,300
+كل عافية شباب
+
diff --git a/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/xf-ECGDEVZs_raw.srt b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/xf-ECGDEVZs_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..5d2d7bcfb68ff6c0643257b854250471bba6dbfd
--- /dev/null
+++ b/PL9fwy3NUQKwZVnyf_6bvkI5cLqv-jF0N-/xf-ECGDEVZs_raw.srt
@@ -0,0 +1,1768 @@
+1
+00:00:21,190 --> 00:00:23,630
+بسم الله والحمد لله والصلاة والسلام علي رسول الله
+
+2
+00:00:23,630 --> 00:00:27,830
+اليوم ان شاء الله يا شباب بنختم ال chapter ال
+
+3
+00:00:27,830 --> 00:00:33,350
+vectors التطبيقين على ال cross product اللي هى
+
+4
+00:00:33,350 --> 00:00:39,730
+أهمهم حساب ال area لل polygon استخدام ال cross
+
+5
+00:00:39,730 --> 00:00:42,650
+product لكن بشكل عام ان ذكرك احنا وقعد كنا واقفين
+
+6
+00:00:42,650 --> 00:00:47,510
+اخر المحاضرات كنا بنتكلم على ال vector product ضرب
+
+7
+00:00:47,510 --> 00:00:51,810
+المتجهات وقولنا في ضرب المتجهات انا في عندىنوعين
+
+8
+00:00:51,810 --> 00:00:56,150
+من الضرب في المتجهات في عند ال scalar product اللى
+
+9
+00:00:56,150 --> 00:00:59,610
+بينتج عنه قيمة scalar وفي عند ال cross product
+
+10
+00:00:59,610 --> 00:01:06,110
+اللى بتنتج عنه متجه بنتج عنه متجه وقولنا بشكل عام
+
+11
+00:01:07,790 --> 00:01:10,130
+في ال cross product هنا او عفوا في ال scalar
+
+12
+00:01:10,130 --> 00:01:13,630
+product انا بحسب ال magnitude ل ال two vectors و
+
+13
+00:01:13,630 --> 00:01:17,510
+بحسب الزاوية اللي بينهم لكن احيانا الزاوية
+
+14
+00:01:17,510 --> 00:01:20,390
+مابتكونش موجودة عندى احيانا مابتكونش الزاوية
+
+15
+00:01:20,390 --> 00:01:26,110
+موجودة عندى و بتكون هي مطلوب السؤال فقلنا بنلجأ
+
+16
+00:01:26,110 --> 00:01:31,570
+لتمثيل ال vectors على ان ال R بده تساوي A و B و C
+
+17
+00:01:31,570 --> 00:01:34,830
+و
+
+18
+00:01:34,830 --> 00:01:42,640
+ال S بتساويD E F هذه المعادلة كلها تتساوي
+
+19
+00:01:55,340 --> 00:01:59,200
+بالتالي تمثيل ال vector أو وجود ال vector بصورته
+
+20
+00:01:59,200 --> 00:02:03,260
+المتجهية الحقيقة بعيدا عن كارتيزيا ال vector مهمة
+
+21
+00:02:03,260 --> 00:02:08,040
+و كذلك لو كامدين ال vector شباب هيك R بدها تساوي
+
+22
+00:02:08,040 --> 00:02:12,920
+ai بزايد bj بزايد ck
+
+23
+00:02:19,830 --> 00:02:26,330
+EJ زائد FK يعني الدان المتجهين علي انهم Cartesian
+
+24
+00:02:26,330 --> 00:02:30,050
+product ايش اللي هتتغير عندي؟ ولا حاجة التمثيل ال
+
+25
+00:02:30,050 --> 00:02:35,890
+vector هو فقط اللي بتتغير A في D زائد BE زائد C في
+
+26
+00:02:35,890 --> 00:02:40,490
+F و لما جينا نتكلم على و بقول هنا في تطبيقين مهندس
+
+27
+00:02:40,490 --> 00:02:44,640
+جداالـ Line Intensity أو Light Intensity كتابة
+
+28
+00:02:44,640 --> 00:02:50,140
+الضوء والـ Back Face Detection كتابة تطبيقات لـ
+
+29
+00:02:50,140 --> 00:02:54,900
+Scalar Product ولمّا انتقلنا باتكلم على الـ
+
+30
+00:02:54,900 --> 00:02:58,480
+Cartesian Product أو عفوا على الـ Cross Product
+
+31
+00:02:58,480 --> 00:03:02,420
+قلت أنا بدي أنظر للمسألة و أقيمها على فرض بالشكل
+
+32
+00:03:02,420 --> 00:03:02,780
+هذا
+
+33
+00:03:06,010 --> 00:03:14,590
+T بتساوي R X S هو عبارة عن متجه متعمد على المتجهين
+
+34
+00:03:14,590 --> 00:03:19,110
+R و S فدي واحد المجنتيوت تبعته بديت تساوي
+
+35
+00:03:19,110 --> 00:03:22,450
+المجنتيوت R مجنتيوت ال S في sign الزاوية اللي
+
+36
+00:03:22,450 --> 00:03:28,470
+بينهم طيب كمتجه هو ايش كانت قيمته كمتجه ايش كانت
+
+37
+00:03:28,470 --> 00:03:32,370
+قيمته اتخيلها كانها determinant
+
+38
+00:03:35,580 --> 00:03:43,760
+و J و K في الصف الأول بعد هيك A B C في الصف التاني
+
+39
+00:03:43,760 --> 00:03:50,820
+بعد هيك D و E و F في الصف التالت حل ال determinant
+
+40
+00:03:50,820 --> 00:03:55,920
+هذا باستخدامك للصف الأول حل ال determinant
+
+41
+00:03:55,920 --> 00:04:02,700
+باستخدامك للصف الأول B
+
+42
+00:04:02,700 --> 00:04:04,920
+F ناقص
+
+43
+00:04:11,710 --> 00:04:23,570
+CEI-AF-CDJAE
+
+44
+00:04:23,570 --> 00:04:29,130
+-DDK
+
+45
+00:04:29,130 --> 00:04:34,650
+وهذا هو المتجهإنها تجعلنا من الـ cross ال product
+
+46
+00:04:34,650 --> 00:04:43,730
+وهذا كان ملخص الدرب المتجهات أو درب المتجهات بشكل
+
+47
+00:04:43,730 --> 00:04:57,630
+عام كنا
+
+48
+00:04:57,630 --> 00:05:04,170
+خلصنا احنا من موضوع الدرب بدنا نيجيلو قال لي طبعا
+
+49
+00:05:04,170 --> 00:05:08,650
+زي ما حكينا في عنه تطبيقات مهمة اذا بتتذكر لما كنا
+
+50
+00:05:08,650 --> 00:05:14,930
+بنتكلم عن ال light intensity او كثافة الضوء على
+
+51
+00:05:14,930 --> 00:05:20,520
+السطح كان بالزمن دائما اجيب vectorعمودي كان
+
+52
+00:05:20,520 --> 00:05:24,780
+بيجيبني دائما اجيب vector عمودي على النقطة في
+
+53
+00:05:24,780 --> 00:05:27,960
+المثال اللي احنا اشتغلنا عليه جنن ان كان ورم
+
+54
+00:05:27,960 --> 00:05:32,980
+vector هاي قيمته ادالية صفر عشرة صفر كانت قيمته
+
+55
+00:05:32,980 --> 00:05:38,340
+طيب لو ماكانش يعطينيه هل في مجال انا اجيبه؟ هل في
+
+56
+00:05:38,340 --> 00:05:41,600
+مجال انا اجيب ال vector هذا؟ خليني ارجع معاك لحظات
+
+57
+00:05:41,600 --> 00:05:42,660
+بس للمثال السابق
+
+58
+00:05:51,130 --> 00:05:56,350
+عفوا .. واحد قال لي هاي ال vector ان قاللي هذا
+
+59
+00:05:56,350 --> 00:06:00,070
+vector normal اتفاقنا الشباب normal vector يعني
+
+60
+00:06:00,070 --> 00:06:03,470
+vector عمودي متعامد على السطح اللي انت بتتكلم عليه
+
+61
+00:06:03,470 --> 00:06:08,950
+unit مقباره قيمة واحدة فقاللي هايه طب لو هذا
+
+62
+00:06:08,950 --> 00:06:12,570
+المتجه ماكانش موجود عندى هل بقدر انا اجيب متجه
+
+63
+00:06:12,570 --> 00:06:16,370
+متعامد لو راح اداني على سبيل المثالي عليه قاللي
+
+64
+00:06:16,370 --> 00:06:21,950
+انت هاي فيه عندك مثلثنقطة المثلث بي واحد بي اتنين
+
+65
+00:06:21,950 --> 00:06:31,230
+بي تلاتة و بدى تحسب لشدة الضوء على المثلث هذا بدك
+
+66
+00:06:31,230 --> 00:06:34,010
+تسقط العمود على اي نقطة كده تسقط على اي نقطة يا
+
+67
+00:06:34,010 --> 00:06:40,190
+خضراء ايه بدك تفترض ان في عندى بالعين من العضلاء
+
+68
+00:06:40,190 --> 00:06:44,290
+المثلث هم المتجهات بدك تفترض ان والله هاي هاد ع
+
+69
+00:06:44,290 --> 00:06:49,090
+سبيل المثال ال Sوما ده هو ال R والتاني من التقيم
+
+70
+00:06:49,090 --> 00:06:55,190
+دلتان تحسب كل واحد تجيب قيمته as a vector الأصل
+
+71
+00:06:55,190 --> 00:07:03,910
+ايش بتسوي شباب X واحد ماقص X اتنين Y واحد ماقص Y
+
+72
+00:07:03,910 --> 00:07:10,150
+اتنين ولو كان في ال 3D Z واحد ماقص Z اتنين هاي ال
+
+73
+00:07:10,150 --> 00:07:12,510
+vector الأول ال R
+
+74
+00:07:21,260 --> 00:07:26,020
+الان ال R X
+
+75
+00:07:26,020 --> 00:07:32,040
+تلاتة ناقص X اتنين Y تلاتة ناقص Y اتنين
+
+76
+00:07:34,610 --> 00:07:38,490
+زد اتنين ممتاز هاي اللي حصلت على ال vectors مصبوط
+
+77
+00:07:38,490 --> 00:07:41,450
+اللي انا بقدر امثلهم as a cartesian vector القيمة
+
+78
+00:07:41,450 --> 00:07:45,830
+هذه مضربة في I وهذه في J وهذه في K ال cross
+
+79
+00:07:45,830 --> 00:07:47,670
+product بين ال R والS
+
+80
+00:07:50,690 --> 00:07:55,890
+حاطيني vector متعامد على
+
+81
+00:07:55,890 --> 00:07:58,890
+المثلث هذا او فوق النقطة دي اللي هي الملتقة
+
+82
+00:07:58,890 --> 00:08:02,910
+المتجهين اللي عندي وبالتالي انا بقدر اشتغل و اجيب
+
+83
+00:08:02,910 --> 00:08:08,790
+هذا الكلام متعامد
+
+84
+00:08:08,790 --> 00:08:11,470
+اوكي بردناهم في بعض وجيبنا ال vector المتعامد حسب
+
+85
+00:08:11,470 --> 00:08:16,530
+القانون الكتاب اللي قبل شوية لو كان unit بكون احسن
+
+86
+00:08:16,530 --> 00:08:22,030
+او احسن بقدر احوله ل unit vectorعشان عن طريق نحسب
+
+87
+00:08:22,030 --> 00:08:26,610
+ال magnitude تبعته وجسم لعناصر تبعت ال vector هذا
+
+88
+00:08:26,610 --> 00:08:31,050
+على قيمة ال magnitude بكون حصلت على unit normal
+
+89
+00:08:31,050 --> 00:08:34,450
+vector متعامد على النقطة اللي موجودة عندي هان تمام
+
+90
+00:08:34,450 --> 00:08:38,010
+معناته
+
+91
+00:08:38,010 --> 00:08:44,070
+أول تقبيل عندي أنا هان لل cross productإنه أنا
+
+92
+00:08:44,070 --> 00:08:49,870
+فعليا ممكن أستخدمه من أجل أحطت متطلبات مثل مثل هذه
+
+93
+00:08:49,870 --> 00:08:53,050
+مثل مثل هذه مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+94
+00:08:53,050 --> 00:08:54,490
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+95
+00:08:54,490 --> 00:08:54,990
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+96
+00:08:54,990 --> 00:08:55,230
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+97
+00:08:55,230 --> 00:09:00,090
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+98
+00:09:00,090 --> 00:09:00,090
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+99
+00:09:00,090 --> 00:09:00,110
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+100
+00:09:00,110 --> 00:09:05,170
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+101
+00:09:05,170 --> 00:09:12,340
+مثل مثunit مقدار المجموعة تبعته واحدة واحدة normal
+
+102
+00:09:12,340 --> 00:09:18,300
+متعاند unit normal vector for a triangle لأي
+
+103
+00:09:18,300 --> 00:09:22,640
+مسلسل؟ لأي مسلسل؟ الآن انا افترضت ان هي المسلسل
+
+104
+00:09:22,640 --> 00:09:32,800
+المظلل بين B1 وB2 ونقص الاتقاها B3 بدي
+
+105
+00:09:32,800 --> 00:09:36,670
+اجيب ال vector المتعاند هنا يا شباببدي اجيب ال T
+
+106
+00:09:36,670 --> 00:09:41,550
+ال T vector متعاند Normal و بعدين المرحلة التانية
+
+107
+00:09:41,550 --> 00:09:45,790
+بدي احسبله ال magnitude عشان احوله ل unit vector
+
+108
+00:09:45,790 --> 00:09:51,850
+كيف نحلها انا هاي مديلي اهو قيمة ال R و مديلي
+
+109
+00:09:51,850 --> 00:10:01,110
+اتنينة ال S بقى عليها اروح اضرب اضبط T تساوي
+
+110
+00:10:07,160 --> 00:10:18,380
+واحد فى اتنين لاقص صفر فى K اتنين I لاقص قبل K
+
+111
+00:10:18,380 --> 00:10:23,560
+يعني بالان نحتفظ هدول مش موجودات فكيف نتعامل معاهم
+
+112
+00:10:23,560 --> 00:10:31,120
+سالب واحد فى اتنين سالب اتنين لاقص صفر سالب اتنين
+
+113
+00:10:31,120 --> 00:10:36,640
+J وعندي سالب اتنين J
+
+114
+00:11:04,550 --> 00:11:05,950
+جيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجيجي
+
+115
+00:11:08,160 --> 00:11:16,480
+عشان هيك طيب اعيد تاني قولنا يا صاحبي بس خليني اجي
+
+116
+00:11:16,480 --> 00:11:21,520
+هنا شوية قولنا اي متجه احنا لو كتبناها اي متجه R
+
+117
+00:11:21,520 --> 00:11:30,820
+يساوي A وB وC هاد كتبناها قبل لحظات وS تساوي D وE
+
+118
+00:11:30,820 --> 00:11:37,570
+وF هدول المتجهينإذا أنا بدي أضربهم في بعض ك cross
+
+119
+00:11:37,570 --> 00:11:41,690
+product ضرب متجهي بيعطيني vector اسمه T و ال
+
+120
+00:11:41,690 --> 00:11:47,430
+vector هذا متعاند عليهم بحيث انه هذه المراكبة
+
+121
+00:11:47,430 --> 00:11:52,910
+الأولى I التي بتجاه ال X axis وهذه ال J بتجاه ال Y
+
+122
+00:11:52,910 --> 00:11:58,310
+axis وهذه ال K بتجاه ال Z و هذين سمناهم Cartesian
+
+123
+00:11:58,310 --> 00:12:03,690
+vectors يعني أنا بقدر اكتبه الشكل هذاA في I زائد B
+
+124
+00:12:03,690 --> 00:12:07,110
+في J زائد C في K ال vector اللي عندي لما انا بحصل
+
+125
+00:12:07,110 --> 00:12:12,130
+ضرب هم يقولنا بكل بساطة بكل بساطة بروح الآن هجيب
+
+126
+00:12:12,130 --> 00:12:16,730
+قيمة ال I لها بخفي
+
+127
+00:12:16,730 --> 00:12:27,750
+ال I و بضرب B في F ناقص B F ناقص CE في I ناقص
+
+128
+00:12:29,520 --> 00:12:34,380
+القيمة التانية في الـ J بخبّ الـ J A في F مقص DC
+
+129
+00:12:34,380 --> 00:12:38,140
+في
+
+130
+00:12:38,140 --> 00:12:42,500
+الـ J زائد القيمة الأخيرة في الـ K بخبّ عناصر الـ
+
+131
+00:12:42,500 --> 00:12:50,460
+K A E مقص D D اللي أنا لما اثّلت عليها او حولت
+
+132
+00:12:50,460 --> 00:12:53,060
+رسومك فيها بشكل سريع و قلتلك اتخيل ان هي
+
+133
+00:12:53,060 --> 00:13:03,990
+determinant I عفوا I و Jو K A B C D E F وحل ال
+
+134
+00:13:03,990 --> 00:13:07,290
+determinant هذا باعتمادك على الصفر الأول بتجيب
+
+135
+00:13:07,290 --> 00:13:11,270
+المعادلة اللي موجودة عندها فاحنا مباشر روحنا جيبنا
+
+136
+00:13:11,270 --> 00:13:16,290
+القيم اللي موجودة وبالتالي صارت T عندي هان تساوي
+
+137
+00:13:16,290 --> 00:13:26,650
+2I زائد 2J زائد K الان ال vector هي موجود عندي
+
+138
+00:13:26,650 --> 00:13:28,710
+وهذا ال vector متعاند
+
+139
+00:13:31,130 --> 00:13:34,690
+على ال two vectors او على الصبح اللي شكل ال two
+
+140
+00:13:34,690 --> 00:13:39,630
+vectors على نقطة ال T سبعتهم تمام وبالتالي انا
+
+141
+00:13:39,630 --> 00:13:47,050
+حققت مضمون من التنين normal عشان اجيب unit بدأوا
+
+142
+00:13:47,050 --> 00:13:52,750
+يحسبوا ال magnitude ال magnitude لل T تساوي الجدر
+
+143
+00:13:52,750 --> 00:14:00,010
+التربيعي تنين تربيع زائدكمان اتنين تربيع زائد واحد
+
+144
+00:14:00,010 --> 00:14:07,150
+تربيع تساوي جدر التسعة تلاتة خلصنا؟ لا مخلصناش
+
+145
+00:14:07,150 --> 00:14:17,730
+الآن باجي بقوله ال T hat ال T hat الآن عبارة على
+
+146
+00:14:17,730 --> 00:14:23,910
+unit قولنا ال hat هذا نمزي ال unit تساوي اتنين
+
+147
+00:14:23,910 --> 00:14:30,820
+على تلاتة المركبة الأولىوالمُركّبة التالية 2 على 3
+
+148
+00:14:30,820 --> 00:14:35,920
+والمُركّبة التالتة 1 على 3 ليش مصرش .. إيش معنى
+
+149
+00:14:35,920 --> 00:14:39,960
+هذا بيغيره يعني؟
+
+150
+00:14:39,960 --> 00:14:44,560
+تمام يا شباب؟ وبهيك بيصير أنا حصلت على unit normal
+
+151
+00:14:44,560 --> 00:14:47,580
+vector أخبرهم اللي عامل ماضي أجيب السؤال زي هذا
+
+152
+00:14:47,580 --> 00:14:53,480
+السؤال قلتلهم هتقول unit normal vector في
+
+153
+00:14:53,480 --> 00:14:59,360
+السؤال هذا فعليا الصحاب فاضي مع انهبسيط جدا يعني
+
+154
+00:14:59,360 --> 00:15:04,240
+كنت مستغرب ليش .. ليش فعلا هذا السؤال مافيش ..
+
+155
+00:15:04,240 --> 00:15:08,620
+مايقبش ولا حل مع انه كمان مرة متاح في عندي two
+
+156
+00:15:08,620 --> 00:15:14,700
+vectors اضربهم في بعض تمام احسب ال magnitude و
+
+157
+00:15:14,700 --> 00:15:18,200
+عادة الشباب لو حققت عليه ثلاث علامات لو حققت عليه
+
+158
+00:15:18,200 --> 00:15:23,200
+ثلاث علامات مقت علامة على ال cross product و علامة
+
+159
+00:15:23,200 --> 00:15:28,020
+على ال magnitude و علامة علىالـ unit و كان الله
+
+160
+00:15:28,020 --> 00:15:31,860
+بالسر عليه بقول
+
+161
+00:15:31,860 --> 00:15:40,020
+مش خفت و لا مابقعد بطلت من زمان طيب
+
+162
+00:15:40,020 --> 00:15:52,960
+طيب
+
+163
+00:15:55,190 --> 00:15:58,850
+كان في انا موضوع تاني شوفنا لما اتكلمنا على ال
+
+164
+00:15:58,850 --> 00:16:02,710
+polygons او ال 2D polygons و 3D shapes و قلتلك
+
+165
+00:16:02,710 --> 00:16:07,490
+احسبلي مساحة المسطح او مساحة ال polygons هذا مع ال
+
+166
+00:16:07,490 --> 00:16:12,830
+2D shapes اذا بتتذكر لما كنت بقولك انه انا في عند
+
+167
+00:16:12,830 --> 00:16:20,790
+بي واحد X واحد Y واحد X اتنين Y اتنين X تلاتة Y
+
+168
+00:16:20,790 --> 00:16:26,440
+تلاتة كنت بقولك انه ال area اللي بتشكل منمع النقاط
+
+169
+00:16:26,440 --> 00:16:32,020
+هذه و جاك سؤال في الامتحان هى اللى مع او ضد عقارب
+
+170
+00:16:32,020 --> 00:16:36,880
+الساعة مصبوط كنت بقولك احسب ال area اذا انا ايش
+
+171
+00:16:36,880 --> 00:16:50,740
+كنا نقول يساوي هى نص اكس
+
+172
+00:16:50,740 --> 00:17:06,230
+واحد في Y2 ناقصx2 في y1 زائد x2 y3 نقص x3 y2 زائد
+
+173
+00:17:06,230 --> 00:17:14,910
+الآن x3 خلصت
+
+174
+00:17:14,910 --> 00:17:20,710
+المسألة صح؟ و لو قلت معاك الإشارة سالبة المساحة
+
+175
+00:17:20,710 --> 00:17:25,940
+تلاتة مثلا تلاتة مهات المساحة تلاتةعكس عقارب
+
+176
+00:17:25,940 --> 00:17:30,720
+الساعة وانت بيه لو انا جبت .. جبتلك سؤال في الصح و
+
+177
+00:17:30,720 --> 00:17:36,560
+غلط او في الاختيار من المتعدد و كتبتلك ال area و
+
+178
+00:17:36,560 --> 00:17:41,060
+المساحة بتاعة ال polygon المشكل بالنقاط هذا هتوح
+
+179
+00:17:41,060 --> 00:17:45,700
+تحسبها انت تمام و تختار سالب تلاتة ولا تلاتة ولا
+
+180
+00:17:45,700 --> 00:17:48,040
+واحدة ولا واحدة من الإجابة هتحطلك أي قيمة تانية
+
+181
+00:17:48,040 --> 00:17:54,020
+اذا حطيت سالب تلاتة غلطلأن الـ Area أو المساحة
+
+182
+00:17:54,020 --> 00:17:58,940
+مستحيل تكون بالسالب مستحيل تكون بالسالب فقلنا إحنا
+
+183
+00:17:58,940 --> 00:18:02,920
+الإشارة بس عشان تقولني ما ترتيب ال sequence أو ال
+
+184
+00:18:02,920 --> 00:18:07,320
+chain تبعتي هذه مع أو ضد عقاري بالساعة بس مش أكتر،
+
+185
+00:18:07,320 --> 00:18:15,820
+تمام فبهذا القانون من وجهه باعتماد
+
+186
+00:18:15,820 --> 00:18:19,600
+على الضرب المتجهي للنقاط اللي موجودة عني الآن لأن
+
+187
+00:18:19,600 --> 00:18:24,750
+أي أدريجهمهو عبارة عن ايش؟ بجموعهم من النقاط لو
+
+188
+00:18:24,750 --> 00:18:30,790
+انا كل two lines محصور بين .. يعني خدت تلت نقاط
+
+189
+00:18:30,790 --> 00:18:36,110
+ورا بعض الأولى و التانى و التالتى هدى واحد و هدى
+
+190
+00:18:36,110 --> 00:18:39,030
+واحد و اعتبرت بيه اتنين هي ال tail بقى أصبحت بتكلم
+
+191
+00:18:39,030 --> 00:18:43,850
+على متجهات بصبرت؟ أصبحت بتكلم على متجهات و
+
+192
+00:18:43,850 --> 00:18:47,850
+المتجهات هذه إذا أنا ضربته في بعضك ده بأتكلم على
+
+193
+00:18:47,850 --> 00:18:52,900
+مساحة بشكل أهم بيقولليلو كان انا فيه عندى two
+
+194
+00:18:52,900 --> 00:18:56,820
+vectors مثل
+
+195
+00:18:56,820 --> 00:19:03,060
+اللى فى الراسم هان بغض النظر عن أقوالهم ال height
+
+196
+00:19:03,060 --> 00:19:07,580
+الارتفاع تبع ال two vectors هان مابقدش اللى بتشكل
+
+197
+00:19:07,580 --> 00:19:13,410
+هانممتازة ماتجهين ما هي توجهله بدل من التقيوم اذا
+
+198
+00:19:13,410 --> 00:19:15,950
+بتتكلم على كارتين cross product بتجمع ال tails مع
+
+199
+00:19:15,950 --> 00:19:20,010
+بعضهم اتكلم على ضرب متجهات بده اجمع ال tails جمعت
+
+200
+00:19:20,010 --> 00:19:23,930
+ال tails مع بعض صار في عندي مثلث و بصير مثلث قائم
+
+201
+00:19:23,930 --> 00:19:28,410
+ازاي لو انا اصطفط عمود من ناقص ال S على ال R زي
+
+202
+00:19:28,410 --> 00:19:32,450
+اللي في راسي ماعندي هنا الان ال H كده اش تقول يا
+
+203
+00:19:32,450 --> 00:19:39,360
+شباب كده اش تفهى ال Hفي مثلث قائم الزاوية ال H ايش
+
+204
+00:19:39,360 --> 00:19:47,320
+تساوي؟ ال H ايش تساوي؟ عند
+
+205
+00:19:47,320 --> 00:19:51,280
+دلعين و زاوية بقدرش انا هطبق فيه ثغرص بطبق قانون
+
+206
+00:19:51,280 --> 00:19:55,640
+ال ratios بطبق ال sine الان هذا المقابل وهو فيه
+
+207
+00:19:55,640 --> 00:20:01,120
+عند ال S اللي هو بمثل ايش؟ S غلط ال magnitude تبعت
+
+208
+00:20:01,120 --> 00:20:04,790
+ال Sلأن انا بتتكلم على قيمة هيك بتكون الأمور صحي
+
+209
+00:20:04,790 --> 00:20:10,790
+معتصر معتصر تمام بتكون هيك الأمور صح طيب و لكن انت
+
+210
+00:20:10,790 --> 00:20:14,710
+بتقول لي S معناته S غلط S لان S متتابع عندك فانت
+
+211
+00:20:14,710 --> 00:20:17,850
+بتتكلم على ال magnitude تبعته معناته ال H هذه
+
+212
+00:20:17,850 --> 00:20:26,290
+تساوي ال magnitude تبعت ال S في sign ال beta من
+
+213
+00:20:26,290 --> 00:20:30,390
+اين اجبته sign beta تساوي
+
+214
+00:20:33,410 --> 00:20:40,470
+المقابل على الوطر المثلث
+
+215
+00:20:40,470 --> 00:20:46,990
+قائم الزاوية هى الوطر وبالتالي H ساية magnitude S
+
+216
+00:20:46,990 --> 00:20:52,630
+في ساية بيتر اذا انا حصلت ارتفاع بقى درجات تحت
+
+217
+00:20:52,630 --> 00:20:53,450
+المثلث هدولة
+
+218
+00:20:56,540 --> 00:21:00,580
+بقدر اجيبه صار فيه عند البلعين طيب ماشي الحال مش
+
+219
+00:21:00,580 --> 00:21:04,940
+صار فيه عند البلعين ومثلق قاعد الزاوية بستخدم فيه
+
+220
+00:21:04,940 --> 00:21:07,940
+ثقرص عشان اجيب البلعي التالت اذا انا بقبق مساحة
+
+221
+00:21:07,940 --> 00:21:11,680
+المثلث نصف القاعدة في الارتفاع اصبعه؟ الان بقدر
+
+222
+00:21:11,680 --> 00:21:16,410
+اجيب هذه الجزئيةولا شو رأيكوا؟ عند الـH معروفة
+
+223
+00:21:16,410 --> 00:21:19,230
+وعند الـS، ال magnitude تبع الـS معروفة، بقول إن
+
+224
+00:21:19,230 --> 00:21:21,170
+أحسب هذي الاسم، بعتمد عليه في التغورص، وبجيب
+
+225
+00:21:21,170 --> 00:21:25,110
+القيمة الموجودة، بقول عندي مساحة المثلث تساوي نص
+
+226
+00:21:25,110 --> 00:21:32,190
+الطاعدة نص ال base في الارتفاع لكن
+
+227
+00:21:32,190 --> 00:21:40,030
+في عندي أنا قانون لأي متوازي أطلع مساحة متوازي
+
+228
+00:21:40,030 --> 00:21:46,050
+الأطلعش تساوي شبابمساحة متوازي الأضلاع مرض عليك؟
+
+229
+00:21:46,050 --> 00:21:50,130
+المستقيل
+
+230
+00:21:50,130 --> 00:21:57,110
+مختلف الآن المستقيل تاخد الطول في العرض بتجيبه أو
+
+231
+00:21:57,110 --> 00:21:59,630
+الارتفاع في العرض مش قابلنا كتير بتسميها بمصطلحات
+
+232
+00:21:59,630 --> 00:22:04,070
+ال length في ال width في الآخر لكن لما أنا بتكلم
+
+233
+00:22:04,070 --> 00:22:11,030
+على متوازي أضلاع مش هتمشي الأمور بالشكل هذا الحل
+
+234
+00:22:11,030 --> 00:22:12,150
+بتجسمه ليه؟
+
+235
+00:22:18,610 --> 00:22:25,490
+مثلثين ومستقيل مثلثين ومستقيل هذه تساوي مساحة هذا
+
+236
+00:22:25,490 --> 00:22:30,270
+وضع الدي المستقيل هذا بقدر انا احسبه اذا بتفكر
+
+237
+00:22:30,270 --> 00:22:33,510
+بالشكل هذا لكن في عندك قانون اسهل من هيك مساحة
+
+238
+00:22:33,510 --> 00:22:39,090
+متوازل أطلع تساوي القاعدة
+
+239
+00:22:40,800 --> 00:22:48,480
+التي هي ال magnitude تبع ال R في الارتفاع ال H
+
+240
+00:22:48,480 --> 00:22:55,880
+اللي حسبته هان وهي موجودة على قيم المستقيم او ال
+
+241
+00:22:55,880 --> 00:23:00,820
+vector R T ال vector R هتكون هان من البداية
+
+242
+00:23:00,820 --> 00:23:03,300
+الارتفاع هان هتكون ثابت للنهاية
+
+243
+00:23:10,860 --> 00:23:16,580
+الارتفاع كانت تساوي عن مال الحسبينها ال magnitude
+
+244
+00:23:16,580 --> 00:23:25,520
+لل S في sin بيتا طيب صارت عندي ال area تساوي ال
+
+245
+00:23:25,520 --> 00:23:29,880
+magnitude تبع ال R في ال magnitude تبع ال S في sin
+
+246
+00:23:29,880 --> 00:23:33,980
+الزاوية اللي بينهم اللي بين بصين
+
+247
+00:23:37,310 --> 00:23:41,810
+الـ magnitude تبعت ال cross product بين الاتنين ال
+
+248
+00:23:41,810 --> 00:23:45,450
+magnitude تبعت ال cross product بين two vectors
+
+249
+00:23:45,450 --> 00:23:59,650
+بالمثال السابق لو أنا سألتك بس
+
+250
+00:23:59,650 --> 00:24:09,270
+النقاط هم بيقول إيه؟حسبنا الـ T تساوي 2I زائد 2J
+
+251
+00:24:09,270 --> 00:24:21,250
+زائد K مظبوط؟ 2K زائد 2J زائد K الآن
+
+252
+00:24:21,250 --> 00:24:27,050
+ال magnitude للـ T قلعت
+
+253
+00:24:27,050 --> 00:24:31,770
+تلاتة قلعت تلاتة وبتعالي نحسب
+
+254
+00:24:35,240 --> 00:24:38,620
+بضال علي اجيب الزاوية اذا انا بدي مصبوط اجيب
+
+255
+00:24:38,620 --> 00:24:42,560
+الزاوية بين التنين وبالتالي انا بقدر اجيب او اثبت
+
+256
+00:24:42,560 --> 00:24:46,860
+لك ان القيمة تساوي تلاتة اذا احنا كنا بنتكلم على
+
+257
+00:24:46,860 --> 00:24:53,960
+مثلث في ال triangle مساحة
+
+258
+00:24:53,960 --> 00:25:01,400
+المثلث تمام هي نص مساحة متوازى الأضواء اللى موجود
+
+259
+00:25:01,400 --> 00:25:05,370
+عندى هناطب شو علاقة القانون هذا بالقانون السابق
+
+260
+00:25:05,370 --> 00:25:10,070
+اللي احنا شوفناه مع النقاط هاي
+
+261
+00:25:10,070 --> 00:25:16,190
+النقطين لما احنا اتكلمنا هاي في عند نقاط B1,B2,B3
+
+262
+00:25:16,190 --> 00:25:23,850
+او B0,B1,B2 وB0 مثلة ال tails تمام ال two vectors
+
+263
+00:25:26,410 --> 00:25:31,910
+بواحد و باتنين و بما ان الترتيب اللى عندي انا جاي
+
+264
+00:25:31,910 --> 00:25:39,930
+عكس عقارب الساعة تمام ترتيب المساحة لازم القيمة
+
+265
+00:25:39,930 --> 00:25:43,550
+اللى تطلع معايا في الحسبة تطلع موجبة تمام اللى انا
+
+266
+00:25:43,550 --> 00:25:44,770
+بدي ا public عليها
+
+267
+00:25:47,760 --> 00:25:53,000
+الضرب المتجهين ومتنساش ان المثلث as a polygon له
+
+268
+00:25:53,000 --> 00:25:56,980
+ميزة عن كل الأشكال ان في الـ2D بظل planner يعني
+
+269
+00:25:56,980 --> 00:26:01,400
+بتلاقيه دائما موجود على محورين فقط بتلاقي المثلث
+
+270
+00:26:01,400 --> 00:26:07,240
+موجود دائما على محورين فقط عشان هيك انا بدي افترض
+
+271
+00:26:07,240 --> 00:26:12,320
+ان الـZها equal صفر وبالتالي B1 لو انا هيك الآن
+
+272
+00:26:12,320 --> 00:26:16,100
+المتجه R ايه شو ساوي شباب؟
+
+273
+00:26:18,980 --> 00:26:29,620
+بالنسبة للنقاط اللي عندي بالتجارة R X1-X0 Y1
+
+274
+00:26:29,620 --> 00:26:41,640
+-Y0 S X2-X0 Y2-Y0
+
+275
+00:26:42,430 --> 00:26:45,470
+اذا انا بدي اطبق احسب المساحة هاي بدي اطبق قانون
+
+276
+00:26:45,470 --> 00:26:49,670
+نين يا شباب قانون cross product بين المتجهين cross
+
+277
+00:26:49,670 --> 00:26:56,470
+product بين المتجهين ايش
+
+278
+00:26:56,470 --> 00:27:04,110
+تساوي R cross ال S غلط
+
+279
+00:27:04,110 --> 00:27:08,430
+انت الآن بدي تحسب ال magnitude تلاته اه اذا بدي
+
+280
+00:27:08,430 --> 00:27:13,490
+تحسب ال magnitude okayالان المعتصم بيقول ..
+
+281
+00:27:13,490 --> 00:27:16,910
+المعتصم
+
+282
+00:27:16,910 --> 00:27:19,930
+بيقول كانت تالي انا بحاجة فعليا ال T هي ال
+
+283
+00:27:19,930 --> 00:27:23,870
+magnitude تمام؟ وبالتالي انا مافيش داعي ان اروح
+
+284
+00:27:23,870 --> 00:27:29,670
+اضرب التجاهين .. المتجاهين برب اتجاهي شو رأيكوا في
+
+285
+00:27:29,670 --> 00:27:34,950
+الكلام؟ المعتصم بيقول انا مباشرة بروح بحسب ال
+
+286
+00:27:34,950 --> 00:27:36,870
+magnitude مين بيأيد المعتصم؟
+
+287
+00:27:39,150 --> 00:27:45,990
+ولا حد ايش مصبور عليه بتقايل معتصم ولا لأ انت انت
+
+288
+00:27:45,990 --> 00:27:49,490
+اللي حكيها معتصم ولا عليه لأ لأ معتصم حكى جبل الان
+
+289
+00:27:49,490 --> 00:27:54,010
+معتصم في مشكلة ان ال T هذه مش هتحصل عليها الا لما
+
+290
+00:27:54,010 --> 00:28:00,090
+تنفذ الضرب الا لما تنفذ الضرب ماتنساش تمام الان
+
+291
+00:28:00,090 --> 00:28:08,870
+انا هو مديك R ومديك S وRعفوًا T تساوي R cross ال S
+
+292
+00:28:08,870 --> 00:28:13,930
+ضرب متجهي فانت بتقدر بضرب اتجاهي في الأول بعدين
+
+293
+00:28:13,930 --> 00:28:19,430
+تجيب ال magnitude و بعدين تجيب ال magnitude أيوة
+
+294
+00:28:19,430 --> 00:28:25,430
+ايش ما بتقوله علي و
+
+295
+00:28:25,430 --> 00:28:29,130
+ال beta اللي بينهم الزاوية وين
+
+296
+00:28:51,070 --> 00:28:54,750
+بس انت ناسي على ان هذا أساسا مش موجود عندك
+
+297
+00:28:57,410 --> 00:29:01,270
+الان انت باكي تجيب الزاوية لازم التلت عناصر أو
+
+298
+00:29:01,270 --> 00:29:04,470
+التلت قيامة بتتوفر في الحالة اللي احنا بيتكلم فيها
+
+299
+00:29:04,470 --> 00:29:10,890
+جاعدين لا موجود زاوية ولا موجود product إلا لو انت
+
+300
+00:29:10,890 --> 00:29:16,310
+روح الدروس بتضرب متجهي بكمل، مين بيكمل يا شباب؟
+
+301
+00:29:16,310 --> 00:29:20,930
+بدك تتخيل .. تتخيل
+
+302
+00:29:24,230 --> 00:29:28,530
+فى زبدة عشان تصبق معاك عملية الضرب بظبط بدك تتخيل
+
+303
+00:29:28,530 --> 00:29:38,070
+ان عملية الضرب عشان تصبق معاك يساوي R كرس ال S ال
+
+304
+00:29:38,070 --> 00:29:48,470
+I بيقول ان احنا بنخب ال I I I J K صفر في ال I رح
+
+305
+00:29:48,470 --> 00:29:52,550
+أدروا ال R تمام و صفر يعني J
+
+306
+00:29:55,430 --> 00:30:00,490
+ببقى اللي عندي ال K ال
+
+307
+00:30:00,490 --> 00:30:04,910
+K
+
+308
+00:30:04,910 --> 00:30:10,070
+بقترب من في مين يا شباب يعني
+
+309
+00:30:10,070 --> 00:30:19,050
+هتصير في عندي انا الآن X1-X0 مضروبة في Y2 Y0 معقص
+
+310
+00:30:22,030 --> 00:30:32,590
+X2-X0 مضروبة في Y1 Y0 في
+
+311
+00:30:32,590 --> 00:30:39,130
+K الان لما انا ابدأ افكر بال magnitude ما اي حاجة
+
+312
+00:30:39,130 --> 00:30:44,770
+بصير معتصم ليش؟ انا خلاص صارت هذه القيمة الان
+
+313
+00:30:44,770 --> 00:30:51,860
+هتكون القيمة هذههي عبارة عن scalar value X Y
+
+314
+00:30:51,860 --> 00:30:56,440
+مضروحات من بعض و مضروبات بس حساب طيب المجنتيوت
+
+315
+00:30:56,440 --> 00:31:01,960
+لهذا هو عبارة عن القيمة هذه في مجنتيته تبع T
+
+316
+00:31:01,960 --> 00:31:05,800
+الفكتور مجنتيوت T الفكتور جداش ال K واحد بكون احنا
+
+317
+00:31:05,800 --> 00:31:13,280
+وصلنا للي بدنا ياما تصفر تمام؟ الآن معناته
+
+318
+00:31:13,280 --> 00:31:21,630
+مجنتيته Tتساوي الا كده هخلص منها انا هم ولا لا بس
+
+319
+00:31:21,630 --> 00:31:31,670
+ده اللي علي اضربني X1 في Y2 ناقص X1
+
+320
+00:31:31,670 --> 00:31:44,030
+في Y0 ناقص X صفر اه الان بك تاخد النقص لمين؟Okay X
+
+321
+00:31:44,030 --> 00:31:52,370
+صفر في Y اتنين مستين تابعي X صفر اه لو الان ال
+
+322
+00:31:52,370 --> 00:31:56,130
+cash تاخدها عامل مشترك بدك تسيبها بدك تنتبه طبعا
+
+323
+00:31:56,130 --> 00:32:02,530
+اذا انت الان قاعد بحك الاجباز قاعد بضرب
+
+324
+00:32:06,180 --> 00:32:10,060
+أدرب بالسالب و أدرب بالموجة بس بدك تنتبه كمان مرة
+
+325
+00:32:10,060 --> 00:32:16,480
+انت روحت عشان اسمك جالك هذه سالم هي فعلا زائد ادرب
+
+326
+00:32:16,480 --> 00:32:23,400
+و أدرب سالم سالم X0 في Y2 سالم في زائد سالم موجة
+
+327
+00:32:23,400 --> 00:32:27,360
+زائد X0 في Y0
+
+328
+00:32:39,830 --> 00:32:51,290
+بعد قانون السابق يتشكل معانا X1Y2-X2Y1
+
+329
+00:32:55,340 --> 00:32:59,500
+وبتكمل في ان اتحلل الاناصر اللي موجودة عندى هان و
+
+330
+00:32:59,500 --> 00:33:03,520
+بقى عندى احلل القوس التانى هذا الان بين القوسين
+
+331
+00:33:03,520 --> 00:33:16,340
+سالب ماعندي مشكلة فيها X2 Y1 ماقص X2 Y0 نفس الكلام
+
+332
+00:33:16,340 --> 00:33:31,850
+زائد X0 Y1 سالب عفوازائد X0 Y0 الآن اعيد ترتيب
+
+333
+00:33:31,850 --> 00:33:35,490
+المسألة اللى عندك هتكون حصلنا على القانون السابق
+
+334
+00:33:35,490 --> 00:33:41,650
+اللى فيه تلت نقاط X0 B0 B1 وB2 وحصلنا على القانون
+
+335
+00:33:41,650 --> 00:33:50,110
+اللى احنا شوفنا وين اه لأ احنا اتفقنا الآن ان ال T
+
+336
+00:33:50,110 --> 00:33:57,780
+اصبر ال T تساوي ال T تساوي اه عفواالان بدي
+
+337
+00:33:57,780 --> 00:34:03,720
+magnitude of T تساوي ال magnitude لهذه لما هي قيمة
+
+338
+00:34:03,720 --> 00:34:09,480
+scalar طلعتها برا صارت الأقواس في ال magnitude of
+
+339
+00:34:09,480 --> 00:34:14,020
+K ال magnitude of K واحد عشان ايه انا عايش استغلت
+
+340
+00:34:14,020 --> 00:34:21,120
+عنها ال T
+
+341
+00:34:21,120 --> 00:34:27,150
+فيه اتجاه متعالج على المتلف اللي عنديالـ T متعامد
+
+342
+00:34:27,150 --> 00:34:31,250
+على المثلث اللي عندي مصبوط احنا الآن اتفقنا ان هم
+
+343
+00:34:31,250 --> 00:34:36,290
+هتقسم هاي
+
+344
+00:34:36,290 --> 00:34:42,910
+ال R وهي ال S لما انا بعمل R cross ال S تساوي T
+
+345
+00:34:42,910 --> 00:34:50,790
+متعامد عليهم هاي اتجاهه ال magnitude تبعته تساوي
+
+346
+00:34:50,790 --> 00:34:55,810
+ال magnitude لل R في ال magnitude لل Sفى الـ sign
+
+347
+00:34:55,810 --> 00:35:03,430
+الزاوية اللى بينهم طبعا و عاملا احنا نجيب قيمة ال
+
+348
+00:35:03,430 --> 00:35:06,850
+magnitude تبعته مما ان هو مبتدأ باعتمادى على ال I
+
+349
+00:35:06,850 --> 00:35:09,270
+و ال J و ال K و روح نجيب تى ال magnitude تبعته
+
+350
+00:35:09,270 --> 00:35:12,210
+المعناته انا مش بحاجة لأحسب القيم اللى موجودة عندى
+
+351
+00:35:12,210 --> 00:35:12,330
+هنا
+
+352
+00:35:47,340 --> 00:35:52,200
+الاخر نقطة كانت في ال chapter اللى موجود عندنا ده
+
+353
+00:35:52,200 --> 00:35:55,840
+اللى فيه عندنا ك example موجود في الكتاب بسيطات
+
+354
+00:35:55,840 --> 00:36:05,840
+اقولك على سبيل المثال هد ال magnitude للمتجه هد ال
+
+355
+00:36:05,840 --> 00:36:08,300
+magnitude لل position vector
+
+356
+00:36:17,680 --> 00:36:21,260
+الان كمان مرة بقولك هاتلي ال magnitude لل position
+
+357
+00:36:21,260 --> 00:36:28,740
+vector P اللي هو على النقطة أربع خمسة ستة شو يعني
+
+358
+00:36:28,740 --> 00:36:33,040
+position vector؟ اه صعيب شو يعني position vector؟
+
+359
+00:36:33,040 --> 00:36:40,760
+مش فاهم حاجة مش مشكلة ايوة كامل مش موجود اليوم؟
+
+360
+00:36:42,180 --> 00:36:46,300
+بوزيشن فيكتور ان هذا الـ tail تبعت ال vector هذا
+
+361
+00:36:46,300 --> 00:36:51,960
+هي ال origin point نقطة الأصل بوزيشن فيكتور ان ال
+
+362
+00:36:51,960 --> 00:36:56,760
+tail تبعت ال b ال vector هذا نقطة الأصل بما ان هذا
+
+363
+00:36:56,760 --> 00:37:04,940
+tail بي .. معناته صفر و صفر و صفر اربع على الصفر
+
+364
+00:37:04,940 --> 00:37:11,090
+هي ال vector بيه الآن بيه as a vectorأربعة ناقص
+
+365
+00:37:11,090 --> 00:37:20,010
+صفر أربعة خمسة ناقص صفر خمسة ستة ناقص صفر ستة هاي
+
+366
+00:37:20,010 --> 00:37:26,590
+عملت ال vector الآن لأنه كان مديني بق فقط نقطة خُط
+
+367
+00:37:26,590 --> 00:37:31,310
+السؤال يعني هذا السؤال شباب فيه مطموبين مطموب
+
+368
+00:37:31,310 --> 00:37:35,150
+الأول تكتب ليه vector وهيه ال vector تبعنا بما أن
+
+369
+00:37:35,150 --> 00:37:38,070
+هو position vector هيه النقطة التانية المجنتين
+
+370
+00:37:38,070 --> 00:37:38,590
+تبعته
+
+371
+00:37:41,790 --> 00:37:47,430
+ما هي المجموعة يا صاحي؟ الجذر التربيعي للعناصر أو
+
+372
+00:37:47,430 --> 00:37:59,170
+للتربيعات العناصر الموجودة 16 25 36 77
+
+373
+00:38:07,710 --> 00:38:17,470
+كيف عشرين فاصلة مش عارف جديش عليه جدر
+
+374
+00:38:17,470 --> 00:38:22,390
+الجدر السبع و سبعين جديش تمانية و حاجة انا اربع و
+
+375
+00:38:22,390 --> 00:38:30,770
+ستين جدر الاربع و ستين تمانية صح هذا اكبر ستة عشر8
+
+376
+00:38:30,770 --> 00:38:35,350
+.4 تقريبا او 8.3 مش قضية كتير هتكون بالنسبة لنا بس
+
+377
+00:38:35,350 --> 00:38:41,250
+في الامتحان فيه عندك calculator اكتر من خمسة اقرب
+
+378
+00:38:41,250 --> 00:38:49,190
+لواحد يقدر تعمل واحد 8.7 مش
+
+379
+00:38:49,190 --> 00:38:53,290
+قضية في الامتحان فيه معاك calculator في الامتحان
+
+380
+00:38:53,290 --> 00:38:57,730
+فيه معاك calculator تمام و بدك تحكم القيمة الصحية
+
+381
+00:38:57,730 --> 00:39:06,350
+هتطلع بال calculatorطيب اللي بعده اذا كان رقم عشري
+
+382
+00:39:06,350 --> 00:39:09,790
+ايه لو كتير اعداد ادخل او اخد او اتلال او اتدخل او
+
+383
+00:39:09,790 --> 00:39:11,070
+اتدخل او اتدخل اتدخل اتدخل اتدخل اتدخل اتدخل اتدخل
+
+384
+00:39:11,070 --> 00:39:12,250
+اتدخل اتدخل اتدخل اتدخل اتدخل اتدخل اتدخل اتدخل
+
+385
+00:39:12,250 --> 00:39:12,250
+اتدخل اتدخل اتدخل اتدخل اتدخل اتدخل اتدخل اتدخل
+
+386
+00:39:12,250 --> 00:39:12,250
+اتدخل اتدخل اتدخل اتدخل اتدخل اتدخل اتدخل اتدخل
+
+387
+00:39:12,250 --> 00:39:18,390
+اتدخل اتدخل
+
+388
+00:39:18,390 --> 00:39:25,510
+ات
+
+389
+00:39:26,770 --> 00:39:29,670
+مرة برقنا من الأخير خمسة .. خمسة .. خمسة .. خمسة
+
+390
+00:39:29,670 --> 00:39:30,390
+.. خمسة .. خمسة .. خمسة .. خمسة .. خمسة .. خمسة ..
+
+391
+00:39:30,390 --> 00:39:32,210
+خمسة .. خمسة .. خمسة .. خمسة .. خمسة .. خمسة ..
+
+392
+00:39:32,210 --> 00:39:32,590
+خمسة .. خمسة .. خمسة .. خمسة .. خمسة .. خمسة ..
+
+393
+00:39:32,590 --> 00:39:34,750
+خمسة .. خمسة .. خمسة .. خمسة .. خمسة .. خمسة ..
+
+394
+00:39:34,750 --> 00:39:38,150
+خمسة .. خمسة .. خمسة .. خمسة .. خمسة .. خمسة ..
+
+395
+00:39:38,150 --> 00:39:44,550
+خمسة .. خمسة .. خمسة .. خمسة .. خمسة .. خمسة ..
+
+396
+00:39:44,550 --> 00:39:51,410
+خمسة .. خمسة .. خمسة
+
+397
+00:39:53,360 --> 00:39:57,000
+قال هو اكون معاكوا صريح يا شباب اول مرة في تاريخ
+
+398
+00:39:57,000 --> 00:40:00,200
+من يوم اشتغلت في الجامعة ان اخطأ في امتحان فتصحيح
+
+399
+00:40:00,200 --> 00:40:05,100
+حظ ولاية حظ ولاية صح عافي يا أستاذي ماشي الحال انا
+
+400
+00:40:05,100 --> 00:40:18,160
+ايك بس كنت اه خلاص اهانة لكم مش ليه طيب طيب
+
+401
+00:40:18,160 --> 00:40:23,940
+نكمل يا شباببقول لي حسب ال magnitude او هتلي او
+
+402
+00:40:23,940 --> 00:40:32,900
+convert ال R ل unit vector magnitude
+
+403
+00:40:32,900 --> 00:40:36,500
+ال
+
+404
+00:40:36,500 --> 00:40:42,620
+R تساوي واحد
+
+405
+00:40:42,620 --> 00:40:45,580
+زائد اربعة زائد تسعة
+
+406
+00:40:48,610 --> 00:41:06,090
+الجزر الاربع عشر خلصت
+
+407
+00:41:06,090 --> 00:41:10,390
+هالمسألة خلص
+
+408
+00:41:10,390 --> 00:41:13,710
+خلص اش تسوي تسوي اللي بدك هيها بس المسألة هي خلصت
+
+409
+00:41:17,630 --> 00:41:43,630
+الار اذا انا قلتلك افضت انه مجنتيور بنتروح تاخد شو
+
+410
+00:41:43,630 --> 00:41:46,230
+ال 6 على 14 يا سلام؟ 14 على 14 بتطلع
+
+411
+00:41:54,990 --> 00:41:59,130
+لأ الان الترابير يتوزع فوق و تحت واحد على اربع
+
+412
+00:41:59,130 --> 00:42:03,270
+طعاش اربع على اربع طعاش تسعة على اربع طعاش الله يا
+
+413
+00:42:03,270 --> 00:42:14,990
+شباب وبك و كرب في الحساب تمام
+
+414
+00:42:14,990 --> 00:42:16,270
+اقتصاد؟ هيك
+
+415
+00:42:22,560 --> 00:42:28,720
+ممكن تاخد الواحد عن المشترك و اعز
+
+416
+00:42:54,920 --> 00:43:01,080
+ليه هات او احسب الزاوية اللي محصورة او هات للزاوية
+
+417
+00:43:01,080 --> 00:43:07,240
+اللي محصورة بين ال R و ال S كم
+
+418
+00:43:07,240 --> 00:43:09,360
+واحد يعرف يجيب المسألة اللي محادرة بهذه او يجيب
+
+419
+00:43:09,360 --> 00:43:14,550
+يحسب الزاوية يا شبابطيب ماشي انا بقى هى واحد اتنين
+
+420
+00:43:14,550 --> 00:43:19,890
+تلاتة اربعة خمسة والباقي انت بتعرف تجيبها كويس
+
+421
+00:43:19,890 --> 00:43:24,310
+الآن لما أقول ايه هي ات الزاوية بين ال two vectors
+
+422
+00:43:24,310 --> 00:43:30,530
+تمام مباشرة مباشرة تروح في دماغك ال magnitude اه
+
+423
+00:43:30,530 --> 00:43:35,710
+الآن magnitude ال R في magnitude ال S في كزان
+
+424
+00:43:35,710 --> 00:44:09,710
+الزاوية يساوي A في E زائدB في E زائد C في F نفس
+
+425
+00:44:09,710 --> 00:44:11,810
+الأرقام
+
+426
+00:44:26,880 --> 00:44:32,040
+لازم القانونين يستحضروا عندك لان اذا ما حسبتش هذه
+
+427
+00:44:32,040 --> 00:44:38,320
+مش هتقدر تجيب الزاوية ال magnitude تبعت ال R مابيش
+
+428
+00:44:38,320 --> 00:44:38,760
+عليه
+
+429
+00:44:43,820 --> 00:44:51,120
+والمقيمة الاسعة كزاين
+
+430
+00:44:51,120 --> 00:44:57,800
+بيتا تزاوي
+
+431
+00:44:57,800 --> 00:45:04,940
+تساوي كزاين انفرست خمسية على
+
+432
+00:45:04,940 --> 00:45:05,660
+جدر 21
+
+433
+00:45:11,850 --> 00:45:21,650
+أو فاصلة تلاتة طيب ال chapter هيك خلصة يا شباب و
+
+434
+00:45:21,650 --> 00:45:24,650
+احنا هيك نكون خلصنا مش هدخل في الموضوع الشديد
+
+435
+00:45:24,650 --> 00:45:29,570
+غالبا .. غالبا ضال عندي chapter و التاني حسب ال
+
+436
+00:45:29,570 --> 00:45:33,570
+transformation جدش نمشي فيه طبعا لأو ضال chapter
+
+437
+00:45:33,570 --> 00:45:34,310
+اين؟ الاصل
+
+438
+00:45:37,700 --> 00:45:40,760
+و C10 عارفش نقول المشكلة في الموضوع يعني في عندنا
+
+439
+00:45:40,760 --> 00:45:46,960
+ال transformation تمام هنبدأ فيه إذا خلصناها بدري
+
+440
+00:45:46,960 --> 00:45:53,720
+نبدأ في ال interpolation ما خلصناهاش ننتقل في نعم
+
+441
+00:45:53,720 --> 00:45:57,640
+عطوا
+
+442
+00:45:57,640 --> 00:45:58,300
+كل عافية شباب
+
diff --git a/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/4L7umUXaN6c_raw.json b/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/4L7umUXaN6c_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..0a593d9c9a42b5b57a63542b7dfe7558aaa6e361
--- /dev/null
+++ b/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/4L7umUXaN6c_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2180, "start": 13.34, "end": 21.8, "text": "بسم الله الصلاة والسلام على رسول الله طبعا زي ما انت شايفين اليوم في الفصل الرابع", "tokens": [3555, 38251, 21984, 31767, 15040, 3660, 16070, 3794, 37440, 15844, 12602, 3794, 12610, 21984, 23032, 3555, 3615, 995, 30767, 1829, 19446, 16472, 2655, 13412, 995, 33911, 9957, 45595, 20498, 8978, 27188, 36520, 34892, 16758, 3615], "avg_logprob": -0.09288194796277417, "compression_ratio": 1.5154639175257731, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 13.34, "end": 14.04, "word": "بسم", "probability": 0.802734375}, {"start": 14.04, "end": 14.36, "word": " الله", "probability": 0.9814453125}, {"start": 14.36, "end": 15.68, "word": " الصلاة", "probability": 0.9137369791666666}, {"start": 15.68, "end": 16.06, "word": " والسلام", "probability": 0.97412109375}, {"start": 16.06, "end": 16.22, "word": " على", "probability": 0.7021484375}, {"start": 16.22, "end": 16.5, "word": " رسول", "probability": 0.9833984375}, {"start": 16.5, "end": 16.78, "word": " الله", "probability": 0.92578125}, {"start": 16.78, "end": 19.0, "word": " طبعا", "probability": 0.96533203125}, {"start": 19.0, "end": 19.64, "word": " زي", "probability": 0.874267578125}, {"start": 19.64, "end": 19.72, "word": " ما", "probability": 0.96630859375}, {"start": 19.72, "end": 19.88, "word": " انت", "probability": 0.822265625}, {"start": 19.88, "end": 20.32, "word": " شايفين", "probability": 0.8900146484375}, {"start": 20.32, "end": 20.64, "word": " اليوم", "probability": 0.972900390625}, {"start": 20.64, "end": 20.78, "word": " في", "probability": 0.71826171875}, {"start": 20.78, "end": 21.16, "word": " الفصل", "probability": 0.893798828125}, {"start": 21.16, "end": 21.8, "word": " الرابع", "probability": 0.9873046875}], "temperature": 1.0}, {"id": 2, "seek": 4556, "start": 22.76, "end": 45.56, "text": "من الجغرافية الاقتصادية وكالترتيب تبع السوق الأول والتاني والتالت والربع والخامس والسادس احنا ضمن الخطة الموزعة خلال الفصل بأمره تعالى مع الإجازة اللي صارت رائعة اللي هي بسبب تحرير القصرة ان شاء الله وكل سنة بتتم تحرير القصرة يعني", "tokens": [27842, 25724, 17082, 23557, 5172, 10632, 42963, 38149, 9381, 18513, 10632, 4032, 4117, 6027, 2655, 2288, 31371, 3555, 6055, 3555, 3615, 21136, 30543, 16247, 12610, 16070, 2655, 7649, 1829, 16070, 2655, 6027, 2655, 16070, 25513, 3615, 16070, 9778, 10943, 3794, 16070, 3794, 18513, 3794, 1975, 5016, 8315, 48812, 27842, 33962, 9566, 3660, 9673, 2407, 11622, 27884, 16490, 1211, 6027, 27188, 36520, 4724, 10721, 29973, 3224, 37279, 6027, 7578, 20449, 33688, 7435, 31377, 3660, 13672, 1829, 20328, 9640, 2655, 12602, 16373, 27884, 13672, 1829, 39896, 4724, 35457, 3555, 6055, 5016, 2288, 13546, 25062, 9381, 25720, 16472, 13412, 16606, 21984, 4032, 28820, 8608, 1863, 3660, 39894, 39237, 6055, 5016, 2288, 13546, 25062, 9381, 25720, 37495, 22653], "avg_logprob": -0.15217390863791755, "compression_ratio": 2.0288461538461537, "no_speech_prob": 1.7881393432617188e-07, "words": 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/CwALUv0Kn_4.srt b/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/CwALUv0Kn_4.srt
new file mode 100644
index 0000000000000000000000000000000000000000..f9a887c65bd057650054204b03f60d6dad171f7c
--- /dev/null
+++ b/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/CwALUv0Kn_4.srt
@@ -0,0 +1,2547 @@
+1
+00:00:13,360 --> 00:00:17,920
+بسم الله و الصلاة والسلام على رسول الله، أما بعد، نكمل
+
+2
+00:00:17,920 --> 00:00:26,310
+ما قد بدأناه سابقا، وهو العوامل المؤثرة في
+
+3
+00:00:26,310 --> 00:00:29,570
+استغلال الموارد الاقتصادية، ووصلنا اليوم للمناخ
+
+4
+00:00:29,570 --> 00:00:34,550
+للمناخ وأثره في استغلال الموارد، للتذكير، ما هي
+
+5
+00:00:34,550 --> 00:00:40,790
+العوامل التي تم دراستها في الجغرافيا الاقتصادية
+
+6
+00:00:40,790 --> 00:00:45,810
+التي تؤثر على الموارد الاقتصادية؟ تفضلي، واحد
+
+7
+00:00:45,810 --> 00:00:50,810
+الموقع الجغرافي، الموقع الجغرافي، وقولنا فيه فرق بين
+
+8
+00:00:50,810 --> 00:01:00,750
+الموقع والموضع (Location and Situation) موضع
+
+9
+00:01:00,750 --> 00:01:02,430
+مدينة غزة
+
+10
+00:01:10,700 --> 00:01:15,240
+برافو عليك، شفت كيف رجعت للمعلومة، جراي لإنه كتبتها 
+
+11
+00:01:15,240 --> 00:01:21,580
+برافو عليك، هي موقع غزة القديمة، اللي هي ممثلة في
+
+12
+00:01:21,580 --> 00:01:25,380
+القسارية، والجامعة العمرية، وحارة بن عامر، لإنه 
+
+13
+00:01:25,380 --> 00:01:30,100
+المسلمين قديما كانوا أول ما يفكر بيه هو بناء 
+
+14
+00:01:30,100 --> 00:01:35,440
+المسجد، ثم تبدأ العملية التطورية العمرانية، اتنين 
+
+15
+00:01:35,440 --> 00:01:42,510
+العامل الثاني، توزيع اليابس والماء، وقلنا هناك
+
+16
+00:01:42,510 --> 00:01:45,490
+اختلاف كبير بين الدولة البحرية والدولة غير
+
+17
+00:01:45,490 --> 00:01:52,410
+البحرية، تلاتة، العامل الثالث، آه البنية والتركيب
+
+18
+00:01:52,410 --> 00:01:57,210
+الجيولوجي، قلنا هي ما تحت الأرض، ما تحت الأرض، من
+
+19
+00:01:57,210 --> 00:02:03,450
+خيرات، كالنفط والحديد والمعادن، أربعة، العامل الرابع،
+
+20
+00:02:03,450 --> 00:02:11,510
+مظاهر السطح، مظاهر السطح، مظاهر السطح، خمسة، اليوم 
+
+21
+00:02:11,510 --> 00:02:17,810
+المناخ، وقلنا لكم طبعا مش فرق بين مناخ ومناخ زمان
+
+22
+00:02:17,810 --> 00:02:24,850
+كان يقولوا هناك فرق، يعتبر المناخ من أهم العوامل
+
+23
+00:02:24,850 --> 00:02:31,490
+الطبيعية المؤثرة في استغلال الموارد، ليش؟ لأنه يؤثر
+
+24
+00:02:31,490 --> 00:02:37,800
+في جميع مناحي الحياة على سطح الأرض، سواء كانت موارد
+
+25
+00:02:37,800 --> 00:02:45,140
+طبيعية وغير طبيعية، سواء كان الإنسان وغير الإنسان
+
+26
+00:02:45,140 --> 00:02:53,440
+المناخ طبعا بيأثر فيه، وحنشوف هذه المؤثرات المناخية
+
+27
+00:02:53,440 --> 00:03:03,340
+على مسكن الإنسان، مساكن الإنسان، كيف يؤثر على مساكن
+
+28
+00:03:03,340 --> 00:03:11,600
+الإنسان؟ بنشوف كيف يؤثر المناخ على المساكن؟ وهذا
+
+29
+00:03:11,600 --> 00:03:16,720
+السؤال لو أحنا سألنا هندسة
+
+30
+00:03:16,720 --> 00:03:21,380
+المعمارية في الجامعة الإسلامية، يفترض أن يعودوا إلى 
+
+31
+00:03:21,380 --> 00:03:27,600
+الجغرافيا ليعرفوا أثر المناخ على المساكن
+
+32
+00:03:27,600 --> 00:03:32,500
+الإسلامية، من يتكلم في ذلك؟ طيب،
+
+33
+00:03:32,500 --> 00:03:39,510
+نجي نشوف، بنشوف العروض العليا، المساكن عندهم قبابية،
+
+34
+00:03:39,510 --> 00:03:45,870
+صح؟ قبابية هيكده وبالكرميد، ليش طيب قبابية؟ حتى
+
+35
+00:03:45,870 --> 00:03:54,170
+لا يتراكم عليها الجليد، ماشي؟ طيب بالنسبة للمنافذ
+
+36
+00:03:54,170 --> 00:03:59,050
+الشبابيك، يعني إيه؟ في العروض العليا الشباك بنلاقي
+
+37
+00:03:59,050 --> 00:04:04,230
+طولي، ليش طولي؟ لأن هو بده أكبر قدر من الإشعاع
+
+38
+00:04:04,230 --> 00:04:10,170
+الشّمسي، وعملية غروب الشمس وشروقها، بده ياخد 
+
+39
+00:04:10,170 --> 00:04:14,800
+أكبر قدر من إشعاع الشمس، في المناطق الحارة بتلاقي
+
+40
+00:04:14,800 --> 00:04:21,260
+المنافذ أو الشبابيك عرضية وليست رأسية، يعني أفقية
+
+41
+00:04:21,260 --> 00:04:27,640
+لأن أنا بدي ضوء أكثر من إني بدي شمس، فاهمنا؟
+
+42
+00:04:27,640 --> 00:04:34,560
+هاي أثره على المساكن، على إيش؟ المساكن، طيب على
+
+43
+00:04:34,560 --> 00:04:39,360
+الملابس، أثر المناخ على إيش؟ الملابس، تفضلي
+
+44
+00:04:51,900 --> 00:04:55,520
+مئة بالمئة، في المناطق الباردة
+
+45
+00:04:57,930 --> 00:05:04,490
+دايما المعتّف أو الملابس المخملية والثقيلة القطنية
+
+46
+00:05:04,490 --> 00:05:09,090
+أو الصوفية هي السائدة، وفي المناطق الحارة الملابس
+
+47
+00:05:09,090 --> 00:05:16,750
+الخفيفة، الملابس الخفيفة، أيضًا على غذائه يؤثر
+
+48
+00:05:16,750 --> 00:05:23,530
+المناخ على غذائه، هنحنأتي بقضية الأرز، بنلاقي أن 
+
+49
+00:05:23,530 --> 00:05:29,570
+الثقافة الغذائية في جنوب شرق آسيا الأرز، في حين أن
+
+50
+00:05:29,570 --> 00:05:34,550
+الثقافة الغذائية عندنا هي إيش؟ القمح، هي إيش؟ القمح
+
+51
+00:05:34,550 --> 00:05:39,690
+وزي ما قلنا قبل التصوير، لأن المناخ عندهم حار
+
+52
+00:05:39,690 --> 00:05:42,970
+فيحتاجوا
+
+53
+00:05:42,970 --> 00:05:50,670
+إلى أكل سريع الهضم، غير مربك للمعي، ده فلجوا إلى
+
+54
+00:05:50,670 --> 00:05:55,980
+الأرز، اللجوء ليش؟ الأراضي، بينما مناخنا المعتدل
+
+55
+00:05:55,980 --> 00:06:04,200
+والمعتدل البارد يتمد على القمح، لأنه بطيء الهضم في
+
+56
+00:06:04,200 --> 00:06:12,320
+المعدة، أيضًا الحرفة، بيأثر المناخ على إيش؟ الحرفة
+
+57
+00:06:12,320 --> 00:06:20,740
+حيث في المناطق المعتادة تنتشر فيها الزراعة وخاصة
+
+58
+00:06:20,740 --> 00:06:30,960
+إذا توفرت مقومات أخرى لهذه الحرفة، مجموعة
+
+59
+00:06:30,960 --> 00:06:37,780
+من العوامل المتكاملة، فبنلاقي إن المناخ بحدد عملية
+
+60
+00:06:37,780 --> 00:06:43,620
+الحرفة التي بيمارسها الإنسان، الصحة والمرض أيضًا
+
+61
+00:06:43,620 --> 00:06:49,380
+اللي علاقة بالمناخ، اللي علاقة بالمناخ، فبنلاقي مناخ
+
+62
+00:06:49,380 --> 00:06:56,060
+المناطق الحارة تنتشر فيها كثير من الأمراض، زي ذبابة
+
+63
+00:06:56,060 --> 00:07:03,890
+تسي تسي، ذبابة تسي تسي، هذه اللي تدى لإيش؟ النوم
+
+64
+00:07:03,890 --> 00:07:09,910
+مرض النوم، نحس دايما احنا مخملين وكده، عايزين ننام
+
+65
+00:07:09,910 --> 00:07:17,890
+بينما في المناطق الباردة يمتاز بالنشاط
+
+66
+00:07:17,890 --> 00:07:24,180
+والحيوية، بالنشاط والحيوية، يعني حتى احنا في فلسطين
+
+67
+00:07:24,180 --> 00:07:32,740
+بنلاقي أكثر شهور السنة عندنا فيها ضجر وضيق هي شهر
+
+68
+00:07:32,740 --> 00:07:42,100
+أغسطس، ثمانية، أغسطس، ثمانية، ليش؟ لأنه تتزامن مع هذا
+
+69
+00:07:42,100 --> 00:07:49,720
+الشهر السحاب وارتفاع الحرارة، السحاب وارتفاع... حتى 
+
+70
+00:07:49,720 --> 00:07:56,030
+المثل العام كان يقول: "أب اللهاب تتخلق فيه السحاب"
+
+71
+00:07:56,030 --> 00:07:59,210
+فيتزامن
+
+72
+00:07:59,210 --> 00:08:05,640
+مع ارتفاع نسبة بخار الماء في الهواء، ارتفاع نسبة
+
+73
+00:08:05,640 --> 00:08:10,860
+بخار الماء في الهواء مع الحرارة المرتفعة، ففي هذا
+
+74
+00:08:10,860 --> 00:08:16,700
+الشهر بدل ما الإنسان يخرج الماء الزائد من جسمه، يبدأ
+
+75
+00:08:16,700 --> 00:08:21,120
+يستقبل بخار الماء العالق في الهواء على جسمه، فبيشعر
+
+76
+00:08:21,120 --> 00:08:27,600
+بالملل والتعب، إذاً للمناخ دور كبير في صحة ومرض
+
+77
+00:08:27,600 --> 00:08:29,420
+الإنسان
+
+78
+00:08:35,530 --> 00:08:40,350
+عشان هيك بنلاقي أن معظم الدول المتقدمة هي التي
+
+79
+00:08:40,350 --> 00:08:45,990
+تقعد ضمن العروض المعتدلة والمعتدلة الباردة، بينما
+
+80
+00:08:45,990 --> 00:08:53,290
+الدول المتخلفة هي التي تقعد ضمن العروض الحارة
+
+81
+00:08:53,290 --> 00:09:02,830
+ماشي؟ لكن هذه النظرية بدأت تتغير، فنجد أن ماليزيا و
+
+82
+00:09:02,830 --> 00:09:10,950
+أندونيسيا وتايوان ضمن المناخات الحارة، ما الذي أدى
+
+83
+00:09:10,950 --> 00:09:15,510
+إلى إفشال هذه النظرية؟ أن المناطق الحارة هي مناطق
+
+84
+00:09:15,510 --> 00:09:22,450
+متخلفة، بينما نجد أن ماليزيا وأندونيسيا وتايوان
+
+85
+00:09:22,450 --> 00:09:27,770
+هي مناطق حارة، ما الذي أفشل هذه النظرية؟
+
+86
+00:09:29,900 --> 00:09:38,380
+واحد، التقدم العلمي، ناس تعلموا، ناس تعلموا، ولعلمكم
+
+87
+00:09:38,380 --> 00:09:43,820
+إنفاق دولار واحد على رفع مستوى التعليم بيوفر على
+
+88
+00:09:43,820 --> 00:09:49,440
+الدولة ملايين الدولارات، دولار واحد على التعليم
+
+89
+00:09:49,440 --> 00:09:57,560
+يوفر على الدولة ملايين الدولارات، لأنه التعليم
+
+90
+00:09:57,560 --> 00:10:05,100
+بنسميه الإنتاج المتأخر، التعليم بنسميه إيش؟ الإنتاج
+
+91
+00:10:05,100 --> 00:10:07,760
+المتأخر، لما سنة أتعلم، 24 سنة أو خمس
+
+92
+00:10:07,760 --> 00:10:12,140
+وعشرين سنة، في الآخر يبدأ عملية الإنتاج أو الابتكار
+
+93
+00:10:12,140 --> 00:10:17,600
+عشان إيه؟ معظم المبدعون والمفكرون هم بعد مراحل
+
+94
+00:10:17,600 --> 00:10:23,380
+انتهاء التعليم، يعني مهاتير محمد رئيس وزراء ماليزيا
+
+95
+00:10:23,380 --> 00:10:29,910
+غيّر المنظومة التعليمية في فترة وجيزة، وإذ بماليزيا
+
+96
+00:10:29,910 --> 00:10:37,970
+اليوم تسمى بالنمور الآسيوية، بالنمور الآسيوية، إنفاق 
+
+97
+00:10:37,970 --> 00:10:45,550
+دولار واحد على الصحة يوفر ملايين الدولارات على
+
+98
+00:10:45,550 --> 00:10:51,430
+الدولة من خلال اللي هي صرف الأدوية والعلاجية، لأنه
+
+99
+00:10:51,430 --> 00:10:58,500
+أنا كوني أعلم الواحد بيعرف يعيش صح، بيعرف يعيش صح
+
+100
+00:10:58,500 --> 00:11:07,000
+وبالتالي إذا عرف يعيش صح، ما يمرضش، والوقاية خير، و
+
+101
+00:11:07,000 --> 00:11:15,520
+من أين تأتي الوقاية؟ من العلم، هذا ينفع وهذا يضر 
+
+102
+00:11:15,520 --> 00:11:23,480
+هذا كل السؤال، هل يستطيع الإنسان التغلب على المناخ
+
+103
+00:11:23,480 --> 00:11:34,240
+كـ... هل يستطيع الإنسان التغلب على المناخ؟ ذاكرين احنا
+
+104
+00:11:34,240 --> 00:11:38,320
+أمام مدرستين في بداية المحاضرات، قلنا المدرسة 
+
+105
+00:11:38,320 --> 00:11:45,440
+الحتمية (Environmental School) والمدرسة الإمكانية 
+
+106
+00:11:45,440 --> 00:11:54,060
+(Possibilism School)، آه تفضلي، أنت هرتاني ولا...
+
+107
+00:11:54,060 --> 00:11:58,700
+هرتاني، تفضلي، الإنسان بقدرش... في بعض الجهات بقدر
+
+108
+00:11:58,700 --> 00:12:01,520
+يتغلب، وفي بعض الجهات بقدرش يتغلب على المناخ، برا
+
+109
+00:12:01,520 --> 00:12:07,420
+بعليك كاملة، حاول يتأقلم مع المناخ، عن طريق يتشيّء ويط
+
+110
+00:12:07,420 --> 00:12:13,780
+السجاجية في المناطق الدافئة، ممتاز، فعلاً الإنسان في
+
+111
+00:12:13,780 --> 00:12:18,700
+مناطق معينة استطاع تغلب على المناخ، أو بمعنى آخر 
+
+112
+00:12:18,700 --> 00:12:26,750
+التأقلم مع المناخ، التأقلم مع المناخ، وفي مناطق أخرى
+
+113
+00:12:26,750 --> 00:12:31,970
+عجز الإنسان على التأقلم، يعني هل يستطيع الإنسان 
+
+114
+00:12:31,970 --> 00:12:39,930
+بجبروته أن يتغلب على ظاهرة التسونامي؟ لأ، قل لأ، لكن
+
+115
+00:12:39,930 --> 00:12:45,470
+ظاهرة الفيضانات النهرية بالإمكانيات العلمية 
+
+116
+00:12:45,470 --> 00:12:51,540
+استطاعت تغلب عليها عن طريق إنشاء السدود، إنشاء
+
+117
+00:12:51,540 --> 00:12:56,180
+السدود، وزي مثل السد العالي، عارفة ليه سميها بالسد 
+
+118
+00:12:56,180 --> 00:13:03,600
+العالي؟ لأن هو (High Dam) أصلاً عالي، يعني عالي من
+
+119
+00:13:03,600 --> 00:13:11,460
+القاعدة إلى القمة، عالي 111 متر تقريبًا، فهو مخصص ضد
+
+120
+00:13:11,460 --> 00:13:19,110
+الزلازل، لأنه إنشاء بحيرة خلف السد ضغطت على الطبقات
+
+121
+00:13:19,110 --> 00:13:26,110
+الأرضية التي قد تحدث زلازل في المستقبل، فهو مصمم 
+
+122
+00:13:26,110 --> 00:13:33,290
+لذلك، بالتأكيد لا، لكن حاول أن يؤقلم نفسه على هذه
+
+123
+00:13:33,290 --> 00:13:39,930
+التغيرات، أيضًا الصحاري مناخها جاف، مناخها جاف، لكن
+
+124
+00:13:39,930 --> 00:13:44,750
+استطاع الإنسان أن يمدّ الصحاري بالأنابيب المائية
+
+125
+00:13:45,070 --> 00:13:49,810
+واستغلها في زراعة عن طريق الري بالتنقيط أو الـ
+
+126
+00:13:49,810 --> 00:13:53,190
+رش، لكن
+
+127
+00:13:53,190 --> 00:13:58,550
+يا قزعاد، متى يتم الـرش في الأراضي الصحراوية؟ هل
+
+128
+00:13:58,550 --> 00:14:04,150
+يتم ريّ المزروعات في الصباح؟
+
+129
+00:14:12,050 --> 00:14:17,710
+إذا ما بينفعش أسقي المزروعات في الصحاري في الصباح 
+
+130
+00:14:17,710 --> 00:14:23,970
+الباكر، ليش؟ لأنه أنا هقدم على ارتفاع درجات الحرارة
+
+131
+00:14:23,970 --> 00:14:28,390
+وبالتالي أتمّ عملية التبخير، أما أفضل ريّ في 
+
+132
+00:14:28,390 --> 00:14:32,990
+المناطق الحارة هو ما بعد العصر، ما بعد العصر، لأن 
+
+133
+00:14:32,990 --> 00:14:38,410
+أقدم على 12 ساعة ما فيها حرارة، ما فيها إيش؟
+
+134
+00:14:38,410 --> 00:14:44,970
+حرارة، وبالتالي تحتفظ التربة مدة طويلة من الرطوبة، من
+
+135
+00:14:44,970 --> 00:14:55,630
+الرطوبة، أيضًا لو بدي أعمل أنا في قلب الصحراء أنبوب 
+
+136
+00:14:55,630 --> 00:15:04,770
+خرسانية مبطنة، زيّ النهر العظيم، زيّ النهر العظيم، وين 
+
+137
+00:15:04,770 --> 00:15:06,930
+بيقع النهر العظيم؟
+
+138
+00:15:12,480 --> 00:15:19,280
+احنا بيقول في الصحراء، في ليبيا، في ليبيا، يعني
+
+139
+00:15:19,280 --> 00:15:24,560
+هذا النظام الليبي المخلوع استطاع أن يجمع المياه
+
+140
+00:15:24,560 --> 00:15:31,340
+البطنية في جنوب ليبيا بحفر أكثر من 136 بئر
+
+141
+00:15:31,340 --> 00:15:37,020
+ارتوازي وتجميعها في أنبوب واحد وضخها إلى الشمال
+
+142
+00:15:37,020 --> 00:15:42,770
+إلى طرابلس وبنغازي هذا النهر اللي سمي بالنهر
+
+143
+00:15:42,770 --> 00:15:52,770
+العظيم يضخ في اليوم مليون متر مكعب مليون متر مكعب
+
+144
+00:15:52,770 --> 00:15:57,530
+أنت
+
+145
+00:15:57,530 --> 00:16:02,870
+ليش ما قلناش مكعب؟
+
+146
+00:16:02,870 --> 00:16:05,050
+آه سؤال للجميع
+
+147
+00:16:09,100 --> 00:16:15,980
+ليش ما قلتش مكعب؟ قلت مكعب لأن
+
+148
+00:16:15,980 --> 00:16:25,220
+المكعب شكل هندسي بينما المكعب حجوم أو أوزان يعني
+
+149
+00:16:25,220 --> 00:16:38,220
+اختلاف التشكيلة بيغير المعنى زي القرآن الكريم إن
+
+150
+00:16:38,220 --> 00:16:44,920
+الولاية لله، بقدرش أقول إن الولاية لله كسرة وفتحة
+
+151
+00:16:44,920 --> 00:16:55,480
+كسرة وفتحة غيرت المعنى، مكعب ومكعب حجم ومساحة شكل
+
+152
+00:16:55,480 --> 00:17:02,560
+هندسي صح؟ لازم احنا نميز حتى في الكلمات عشان تعطي
+
+153
+00:17:02,560 --> 00:17:07,860
+المدلول المعنى الحقيقي الصحيح. فهمتوا؟ مليون متر
+
+154
+00:17:07,860 --> 00:17:15,420
+مكعب في اليوم، قناة تشكي للمقارنة، قناة تشكي
+
+155
+00:17:15,420 --> 00:17:19,760
+أيضًا لها رافعة ترفع المياه من بحيرة ناصر إلى
+
+156
+00:17:19,760 --> 00:17:23,580
+القناة، عارفين قناة تشكي وين تقع؟ في مصر، غرب 
+
+157
+00:17:23,580 --> 00:17:29,570
+النيل، غرب النيل اللي هي المشروع الجديد الزراعي اللي 
+
+158
+00:17:29,570 --> 00:17:34,210
+اليوم فيه خلافات في المحاكم بين المستثمرين اللي
+
+159
+00:17:34,210 --> 00:17:38,750
+بيشتروا الأرض ببلاش، والمحاكم اليوم عايزين يرجعوها
+
+160
+00:17:38,750 --> 00:17:43,770
+إلى السعر الحقيقي لنا، يعني إذا كان النهر العظيم في 
+
+161
+00:17:43,770 --> 00:17:50,670
+ليبيا في السنة بيعطيني 365 مليون متر مكعب، قناة
+
+162
+00:17:50,670 --> 00:17:55,890
+تشكي الرافعة فيها في اليوم بتدينيهذا الرقم 365
+
+163
+00:17:55,890 --> 00:17:59,330
+مليون متر وكام، فالإنسان يستطيع في إمكانياته
+
+164
+00:17:59,330 --> 00:18:05,030
+العلمية والمادية أن يتغلب على المعيقات المناخية
+
+165
+00:18:05,030 --> 00:18:10,230
+يتغلب عليها؟ أيضًا في المناطق الباردة حتى عندنا في
+
+166
+00:18:10,230 --> 00:18:17,470
+فلسطين يعني زمان ما كناش نشوف لخيار على مدار العام
+
+167
+00:18:18,240 --> 00:18:23,480
+ال بندورة على مدار العام، إنشاء البيوت البلاستيكية
+
+168
+00:18:23,480 --> 00:18:27,580
+اللي بتسميها في اللغة المحلية الحمامات، أوجدت الي
+
+169
+00:18:27,580 --> 00:18:34,740
+الخضروات على مدار العام. طب شو الفائدة من بناء
+
+170
+00:18:34,740 --> 00:18:38,200
+الدفيئات؟
+
+171
+00:18:38,200 --> 00:18:46,940
+يعني ليش أنا عملت الدفيئات؟ لتُعطي النبات الدرجة 
+
+172
+00:18:46,940 --> 00:18:54,560
+اللازمة له للنمو في موسم غير موسمي .. غير موسمي
+
+173
+00:18:54,560 --> 00:19:00,680
+فهمتوا؟ أنا بعمل دفيئات في فصل الشتاء وبالتالي 
+
+174
+00:19:00,680 --> 00:19:04,380
+بأخذ الخيار والبندورة في فصل الشتاء اللي كان زمان
+
+175
+00:19:04,380 --> 00:19:06,160
+أيامنا إيش؟ بيجففوها
+
+176
+00:19:10,370 --> 00:19:13,550
+كان بيجفف البيض، في بيض مجفف، فاهم؟ بتعرفوا هذا
+
+177
+00:19:13,550 --> 00:19:21,550
+الكلام؟ لأ، بتعرفوش إلا إن الإنسان لازم عاجزا على
+
+178
+00:19:21,550 --> 00:19:27,630
+التوسع الزراعي بالشكل المعهود في العروض الباردة
+
+179
+00:19:27,630 --> 00:19:34,570
+لشدة البرودة، لأن هناك ميارة باسم الصفر النمو الصفر
+
+180
+00:19:34,570 --> 00:19:41,260
+النمو الذي يساوي كام درجة حرارة؟ أربع درجات مئوية
+
+181
+00:19:41,260 --> 00:19:48,000
+.. أربع درجات مئوية لحد
+
+182
+00:19:48,000 --> 00:19:56,360
+الآن فهمنا ما سبق؟ في
+
+183
+00:19:56,360 --> 00:19:59,940
+اليوم
+
+184
+00:19:59,940 --> 00:20:07,080
+مليون في اليوم، النهر العظيم، ضخ مليون متر مكعب في 
+
+185
+00:20:07,080 --> 00:20:12,130
+السنة يساوي بمعنى ما يضخه النهر العظيم الليبي في 
+
+186
+00:20:12,130 --> 00:20:20,490
+عام، تضخه قناة تشكي فيه، طيب ليش هذا الكلام؟ لأن
+
+187
+00:20:20,490 --> 00:20:28,290
+بحيرة السد أو بحيرة ناصر كبيرة المساحة وبالتالي 
+
+188
+00:20:28,290 --> 00:20:33,730
+فيها كميات كبيرة قاش وفيرة، بعكس اللي هي قاش الآبار
+
+189
+00:20:33,730 --> 00:20:39,700
+الارتوازية، الآبار الارتوازية الـ .. كمان فيه مين
+
+190
+00:20:39,700 --> 00:20:44,980
+عند السفسار عامة سبق؟ مين مش فاهمة الفترة اللي 
+
+191
+00:20:44,980 --> 00:20:52,440
+احنا دخلنا فيها في المناطق؟ قناة
+
+192
+00:20:52,440 --> 00:20:56,440
+التوشكا، هذه قناة طبعًا في الصحراء الغربية المصرية
+
+193
+00:20:56,440 --> 00:21:01,020
+طبعًا في عندي رافعة زي ما بتشوفوا احنا اللي بترفع
+
+194
+00:21:01,020 --> 00:21:08,950
+المية هذه زي الكفكير تبع الـ .. البالدوزة فترفع
+
+195
+00:21:08,950 --> 00:21:14,730
+المية بالرافعة وبتحطها في هذه القناة، لأن القناة
+
+196
+00:21:14,730 --> 00:21:24,230
+أعلى من مستوى سطح البحيرة، من بحيرة ناصر إلى القناة
+
+197
+00:21:24,230 --> 00:21:32,610
+أثر المناخ الآن على الزراعة لكل 
+
+198
+00:21:32,610 --> 00:21:37,960
+غلة زراعية، درجة حرارة تنمو من خلالها وهذا الكلام 
+
+199
+00:21:37,960 --> 00:21:40,820
+سندخل عليه بالتفصيل في الغلات الزراعية إن شاء الله
+
+200
+00:21:40,820 --> 00:21:48,100
+عشان هيك بنلاقي العالم مقسم إلى أقاليم زراعية، أول
+
+201
+00:21:48,100 --> 00:21:52,140
+هذه الأقاليم المنطقة المدارية أو الحارة، شو 
+
+202
+00:21:52,140 --> 00:22:00,420
+تخصصاتها الزراعية؟ الغلات المدارية مثل المطار، البون
+
+203
+00:22:00,420 --> 00:22:10,120
+كاكاو، القوتن قصب السكر، الموز،
+
+204
+00:22:10,120 --> 00:22:14,020
+القمح، 
+
+205
+00:22:14,020 --> 00:22:19,620
+غلة معتدلة، معتدلة،
+
+206
+00:22:19,620 --> 00:22:28,280
+معتدلة، 
+
+207
+00:22:28,280 --> 00:22:28,300
+معتدلة، معتدلة، معتدلة، معتدلة، معتدلة، معتدلة،
+
+208
+00:22:28,300 --> 00:22:28,440
+معتدلة، معتدلة، معتدلة، معتدلة، معتدلة، معتدلة،
+
+209
+00:22:28,440 --> 00:22:30,020
+معتدلة، معتدلة، معتدلة، معتدلة، معتدلة، معتدلة،
+
+210
+00:22:30,020 --> 00:22:32,680
+معتدلة، معتدلة، معتدلة، معتدلة، معتدلة، معتدلة،
+
+211
+00:22:32,680 --> 00:22:36,350
+معتدلة، معتدلة، معتدل، المعتدل البارد اللي فيه
+
+212
+00:22:36,350 --> 00:22:40,450
+الفاكهة والقمح
+
+213
+00:22:40,450 --> 00:22:46,830
+والشعير والحبوب، يعني عشان هيك بنلاقي القمح يعيش في
+
+214
+00:22:46,830 --> 00:22:53,350
+منطقتين، المعتدل يزرع شتاء وده هناخده في القلة وفي
+
+215
+00:22:53,350 --> 00:22:56,570
+المنطقة الباردة يزرع في فصل الربيع
+
+216
+00:22:59,530 --> 00:23:04,230
+فاهمينا؟ إذًا يؤثر المناخ تأثيرا بالغًا على الغلات 
+
+217
+00:23:04,230 --> 00:23:10,950
+الزراعية، حيث حدد نوع الغلة الزراعية التي تُزرع ضمن
+
+218
+00:23:10,950 --> 00:23:15,850
+المنطقة المناخية، ضمن المنطقة إيش؟ المناخية
+
+219
+00:23:19,560 --> 00:23:25,480
+أيضًا هناك علاقة بين المناخ وفصل النمو، وفصل النمو
+
+220
+00:23:25,480 --> 00:23:31,680
+زي ما بقول، هذه غلة إيش؟ صيفية، وهذه غلة إيش؟ شتوية
+
+221
+00:23:31,680 --> 00:23:38,360
+يعني هناك عندنا كثير من الخضروات تظهر شتاء وكثير 
+
+222
+00:23:38,360 --> 00:23:44,200
+منها أيضًا يظهر صيفًا، كذلك إيش؟ الفاكهة، يعني على سبيل 
+
+223
+00:23:44,200 --> 00:23:55,320
+المثال، العنب في أي فصل؟ صيفي، والبطيخ صيفي، الحمضيات 
+
+224
+00:23:55,320 --> 00:24:00,160
+أو الموالح نسميها شتوية، شوفوا الله سبحانه وتعالى
+
+225
+00:24:00,160 --> 00:24:06,680
+بحكمته، لأن فصل الشتاء فصل تقلبات مناخية تعرض
+
+226
+00:24:06,680 --> 00:24:13,060
+الإنسان فيها إلى نزلات بردية كثيرة، أوجد إلينا غلة
+
+227
+00:24:13,060 --> 00:24:21,700
+غنية جدا بفيتامين سي Vitamin C اللي بيعمل على الوقاية
+
+228
+00:24:21,700 --> 00:24:28,560
+من الإصابة بالأمراض اللي هي المتعلقة بالبرد، عشان
+
+229
+00:24:28,560 --> 00:24:33,440
+هيك لما أجونا خوات الطوارئ الدولية من أوروبا 
+
+230
+00:24:33,440 --> 00:24:38,120
+السويد والنرويج، لما شافوا عندنا الحمضيات، هان صاروا
+
+231
+00:24:38,120 --> 00:24:43,460
+ياكلوها في جيشرها وإيش قالوا؟ الغرض من القصة أن 
+
+232
+00:24:43,460 --> 00:24:51,670
+أمه عندها البرتقال يجب ألا تمر فصل الشتاء أما
+
+233
+00:24:51,670 --> 00:24:57,910
+عندها البرتقال يجب ألا تمر فصل، لأنه دايمًا فيتامين
+
+234
+00:24:57,910 --> 00:25:05,750
+سياقي هذه الأمراض، أثر المناخ على الضغط الجوي، هناك 
+
+235
+00:25:05,750 --> 00:25:12,510
+علاقة متزامنة بينه الضغط الجوي ودرجة الحرارة، ارتفاع
+
+236
+00:25:12,510 --> 00:25:19,750
+درجة الحرارة يعني انخفاض الضغط الجوي، وانخفاض
+
+237
+00:25:19,750 --> 00:25:22,690
+درجة الحرارة يعني ارتفاع 
+
+238
+00:25:28,690 --> 00:25:34,870
+قُسّمت الكرة الأرضية أو المناطق إلى مناطق ضغط جوي،
+
+239
+00:25:34,870 --> 00:25:40,150
+مناطق ضغط جوي، فالمنطقة الاستوائية امتاز ضغطها 
+
+240
+00:25:40,150 --> 00:25:45,790
+بإيش؟ بالانخفاض الدائم، ليش؟ لأن هناك ارتفاع حرارة 
+
+241
+00:25:45,790 --> 00:25:54,320
+بشكل دائم، ولا لا؟ المناطق القطبية ضغطها إيش؟ مرتفع
+
+242
+00:25:54,320 --> 00:26:01,340
+لأن هناك تزامن دائم في، وهكذا ينسجم الأمر على جميع
+
+243
+00:26:01,340 --> 00:26:07,580
+الكرة الأرضية، هذا
+
+244
+00:26:07,580 --> 00:26:13,320
+المناخ بشكله العام. طب عناصر المناخ، الآن بناخد 
+
+245
+00:26:13,320 --> 00:26:21,280
+عناصر المناخ، وخاصة المطر وأثره على الزراعة وعلى 
+
+246
+00:26:21,280 --> 00:26:28,520
+حياة الإنسان قاطبةً آه
+
+247
+00:26:28,520 --> 00:26:36,140
+بنلاقي هناك مساحات شاسعة في العالم تعتمد على
+
+248
+00:26:36,140 --> 00:26:43,340
+الأمطار، إذا في أمطار في زراعة، ما فيش أمطار فش زراعة
+
+249
+00:26:43,340 --> 00:26:48,960
+وهذه سميها الزراعة المطرية، زراعة ليش؟ التي تعتمد
+
+250
+00:26:49,430 --> 00:26:56,950
+على الأمطار، وسمعت أنا البعلية، إيش يعني البعلية؟
+
+251
+00:26:56,950 --> 00:27:00,030
+طيب
+
+252
+00:27:00,030 --> 00:27:05,290
+احنا بنسمع في الأسواق بامية
+
+253
+00:27:05,290 --> 00:27:10,110
+بعل شكل واللي أنا بدي أحكيه شكل آخر بنسمع في
+
+254
+00:27:10,110 --> 00:27:18,030
+الأسواق بيقولوا بعلية بامية صح؟ ما أنتو ما بتنزلوهش
+
+255
+00:27:18,030 --> 00:27:18,590
+الشريو
+
+256
+00:27:21,040 --> 00:27:27,140
+بعل يا بامل يعني ما بتشربش ميه، كيف
+
+257
+00:27:27,140 --> 00:27:31,060
+تعتمد على الأمطار؟
+
+258
+00:27:31,060 --> 00:27:38,140
+بنقول بعل يعني بعل يعني ما بتشربش ميه، غلب عليها
+
+259
+00:27:38,140 --> 00:27:44,160
+يعني لا تعتمد على الري، وبنلاقي إن البامية مثلا
+
+260
+00:27:44,160 --> 00:27:51,960
+على سبيل المثال البعل طعمه لذيذ، بينما الذي يروى
+
+261
+00:27:51,960 --> 00:28:00,920
+بالمية بيختلف طعمه، كيف تعيش البامية على سبيل المثال
+
+262
+00:28:00,920 --> 00:28:09,040
+بدون مياه علشان أقول غلة مطرية، بزراعة في موسم و
+
+263
+00:28:09,040 --> 00:28:17,260
+لعلمكم إنّا فالـ .. إذا سقطت الأمطار على بذرة البامية
+
+264
+00:28:17,260 --> 00:28:25,920
+بتموت، لأن هي من أرقأ البذور الزراعية، بتزرعيها من
+
+265
+00:28:25,920 --> 00:28:31,340
+هنا وإذا مطرت عليها بتموت، ليش؟ لأن التربة بتـ ..
+
+266
+00:28:32,790 --> 00:28:38,150
+بتضغط عليها، التربة بتضغط، ولأنها رقيقة بذورها بتموت
+
+267
+00:28:38,150 --> 00:28:42,210
+عشان هيك الفلاح إنّها بيزرع البامية بعد ما يخلخل
+
+268
+00:28:42,210 --> 00:28:47,990
+التربة فوق تلك البذور، فمعين بتنبت جذورها حتى تطلع و
+
+269
+00:28:47,990 --> 00:28:56,770
+.. وإذا اعتادت على المية بتنفاسل .. فضليه تعالي 
+
+270
+00:28:56,770 --> 00:28:59,890
+هاني أخوك تعالي، طيب ماشي يلا
+
+271
+00:29:13,510 --> 00:29:20,230
+هي بتعتمد على ظاهرة علمية اسمها الخاصية الشعرية، كيف
+
+272
+00:29:20,230 --> 00:29:26,810
+كالآتي، بتسقط الأمطار في مارس نهاية فصل الشتاء
+
+273
+00:29:26,810 --> 00:29:31,950
+فبتتخزن مياه الأمطار في باطن الأرض أو الطبقة السطحية
+
+274
+00:29:31,950 --> 00:29:37,530
+للتربة، ثم يبدأ الفلاح بتهيئة الأرض بالحراثة في شهر 
+
+275
+00:29:37,530 --> 00:29:44,770
+إبريل، فيقوم بزراعة البامية، ثم يبدأ بعمليات الحراثة
+
+276
+00:29:44,770 --> 00:29:46,290
+المستمرة
+
+277
+00:29:48,930 --> 00:29:52,630
+اللي بتطلع المياه من باطن الأرض تدريجيًا على جزء 
+
+278
+00:29:52,630 --> 00:29:58,370
+اللي إيه؟ المزروعات اللي بيسميها صيفية، مزارع
+
+279
+00:29:58,370 --> 00:30:06,230
+صيفية، فتنجح تلك المزروعات، فهمتوا؟ إذًا هي بتعتمد على
+
+280
+00:30:06,230 --> 00:30:11,450
+المياه المخزنة في سطح الأرض، عشان هيك بنلاقي الفلاح 
+
+281
+00:30:11,450 --> 00:30:16,190
+دايما يخون بعمليات الحراثة يعني تجديد الطبقة 
+
+282
+00:30:16,190 --> 00:30:22,400
+السطحية للتربة عشان الهواء يتخلل خلالها وما ترتفع 
+
+283
+00:30:22,400 --> 00:30:29,040
+درجة حرارتها لكي تتبخر المياه في التربة أيضا إذا 
+
+284
+00:30:29,040 --> 00:30:34,560
+كانت الأمطار غزيرة جدا فإنها تؤدي لتجريف التربة 
+
+285
+00:30:36,810 --> 00:30:41,250
+تهتك المزروعات وزي ما شفنا خير ومثال العام الماضي 
+
+286
+00:30:41,250 --> 00:30:47,090
+كانت باكستان من الفيضانات العارمة التي غطت أكثر 
+
+287
+00:30:47,090 --> 00:30:54,280
+من ثلث مساحة باكستان فدمرت كل شيء واحنا كنا نشوف 
+
+288
+00:30:54,280 --> 00:30:57,300
+قبل بناء السد العالي كيف الفيضانات في مصر كانت 
+
+289
+00:30:57,300 --> 00:31:02,740
+تطغى على جانبي النهر فتخرب على كثير من المزروعات 
+
+290
+00:31:02,740 --> 00:31:08,500
+أيضا موسمية الأمطار يعني مثلا عندنا في فلسطين 
+
+291
+00:31:08,500 --> 00:31:15,520
+الأمطار إما تأتي مبكرة يعني أكتوبر بيكون عندي ضمن 
+
+292
+00:31:15,520 --> 00:31:19,980
+الأمطار عشان هيك احنا الآن في أكتوبر في كثير من 
+
+293
+00:31:19,980 --> 00:31:24,640
+الأشهر السابقة كانت تسقط الأمطار أو تسقط الأمطار 
+
+294
+00:31:24,640 --> 00:31:30,620
+في أكتوبر وحيانا تأتي متأخرة يعني بيدخل علينا 
+
+295
+00:31:30,620 --> 00:31:36,280
+ديسمبر وكانون الثاني وتأتي بالأمطار عشان هيك بنعرف 
+
+296
+00:31:36,280 --> 00:31:42,300
+المناطق الإسلامية بصلاة إيه؟ للسقيا وهذه الصلاة 
+
+297
+00:31:42,300 --> 00:31:49,720
+لها إيه؟ وضّحة خاصة واضحة إيش؟ يعني إنها ليست كأي 
+
+298
+00:31:49,720 --> 00:31:59,380
+صلاة طيب وحيانا تأتي موزعة على أيام الماطرة، الأيام 
+
+299
+00:31:59,380 --> 00:32:06,500
+اللي إيش؟ الماطرة، دائما بنضرب مثال إيه؟ بيروت و
+
+300
+00:32:06,500 --> 00:32:11,760
+لندن كميات الأمطار في بيروت تقترب من كميات الأمطار 
+
+301
+00:32:11,760 --> 00:32:15,940
+في لندن الفرق بينهما أن أمطار بيروت تسقط خلال فصل 
+
+302
+00:32:15,940 --> 00:32:21,260
+واحد الشتاء بينما أمطار لندن ما لها موزعة على مدار 
+
+303
+00:32:21,260 --> 00:32:28,160
+العام أيهم أفضل؟ تلك التي تتوزع على مدار العام 
+
+304
+00:32:28,160 --> 00:32:35,260
+لكن هذه الأمطار زي ما بقولوا ليست بأي دين ليست 
+
+305
+00:32:35,260 --> 00:32:43,080
+بأي دين قلت استغفر الله through إنه كان إيش؟ يرسل السمع 
+
+306
+00:32:43,080 --> 00:32:52,040
+عليك حتى المطر إذا نزل، ينزل بفائدة، ينزل بفائدة، 
+
+307
+00:32:52,040 --> 00:32:55,840
+ينزل 
+
+308
+00:32:55,840 --> 00:33:03,100
+بفائدة، وإذا نزل المطر بفائدة طبعا، كان منه إيش؟ 
+
+309
+00:33:03,100 --> 00:33:09,330
+الفائدة أيضا المناخ شرق القارات يختلف تماما عن 
+
+310
+00:33:09,330 --> 00:33:17,110
+المناخ في غرب القارات بنلاقي شرق القارات أمطار 
+
+311
+00:33:17,110 --> 00:33:23,570
+طوال العام وتزيد صيفا في غرب القارات أمطار طوال 
+
+312
+00:33:23,570 --> 00:33:28,470
+العام وتزيد شتاءً لكن الفرق بين الغرب والشرق أن 
+
+313
+00:33:28,470 --> 00:33:33,250
+الأقاليم الصحراوية في العالم كلها تقع في غرب 
+
+314
+00:33:33,250 --> 00:33:40,400
+القارات تقع في غرب القارة يعني لم نجد صحراء في شرق 
+
+315
+00:33:40,400 --> 00:33:44,900
+القارة لأن كمية الأمطار أغزر لشرق القارة بينما 
+
+316
+00:33:44,900 --> 00:33:53,060
+معظم الصحاري في غرب القارة ما فيش واحدة قالت يا 
+
+317
+00:33:53,060 --> 00:33:58,880
+أستاذنا الكريم ماذا يحدث في الصومال وهي في شرق 
+
+318
+00:33:58,880 --> 00:34:02,800
+القارة صح ولا لأ؟ شاطرين أنتم 
+
+319
+00:34:06,670 --> 00:34:13,710
+إلا في حالة نادرة هي الصومال، فالصحراء 
+
+320
+00:34:13,710 --> 00:34:23,610
+الصومالية تشرف مباشرة على المحيط، ليش؟ لأن الرياح 
+
+321
+00:34:23,610 --> 00:34:27,870
+في هذه المنطقة تسير موازية للخط الصومالي 
+
+322
+00:34:31,460 --> 00:34:36,600
+الرياح في هذه المنطقة تسير موازية للساحل، والرياح 
+
+323
+00:34:36,600 --> 00:34:40,260
+إذا كانت موازية للساحل، لا تسقط إلا المطر القليل، 
+
+324
+00:34:40,260 --> 00:34:45,520
+إلا المطر القليل، فالحالة الشاذة في شرق القارة هي 
+
+325
+00:34:45,520 --> 00:34:49,640
+الصومال، هي إيش؟ الصومال، bravo عليك 
+
+326
+00:34:56,460 --> 00:35:01,080
+أيضا المناخ في المناطق الداخلية للقارة يختلف عن 
+
+327
+00:35:01,080 --> 00:35:05,440
+المناخ المناطق الساحلية المناخ المناطق الساحلية 
+
+328
+00:35:05,440 --> 00:35:10,360
+نطلق عليه اسم مناخًا المناخ 
+
+329
+00:35:10,360 --> 00:35:15,820
+المناطق الساحلية نطلق عليه مناخ معتدل له اسم علمي 
+
+330
+00:35:15,820 --> 00:35:21,640
+جزري بينما مناخ المناطق الداخلية نطلق عليه مناخًا 
+
+331
+00:35:21,640 --> 00:35:28,190
+قاريًا أو مناخ إيش؟ متطرف متطرف، إيش يعني متطرف؟ 
+
+332
+00:35:28,190 --> 00:35:35,370
+خلاص هي انحلت القضية؟ لأ، ما انحلتش القضية هي، 
+
+333
+00:35:35,370 --> 00:35:41,550
+يعني شديد الحرارة صيفا وشديد البرودة شتاءً، شديد 
+
+334
+00:35:41,550 --> 00:35:45,790
+الحرارة خلال النهار وشديد البرودة خلال الليل، هاي 
+
+335
+00:35:45,790 --> 00:35:54,110
+المناخ المتطرف القاري، عشان تكون الإجابة علمية عشان 
+
+336
+00:35:54,110 --> 00:35:59,710
+هيك بنلاقي معظم الأنهار الداخلية تتجمد خلال فصل 
+
+337
+00:35:59,710 --> 00:36:04,110
+الشتاء لأنه مناخ قاري، متطرف، شديد البرودة خلال 
+
+338
+00:36:04,110 --> 00:36:13,270
+فصل الشتاء وتفيض خلال فصل الربيع والصيف لأنه تبدأ 
+
+339
+00:36:13,270 --> 00:36:22,070
+عمليات ذوبان الجليد اللي تراكم خلال فصل الشتاء دور 
+
+340
+00:36:22,070 --> 00:36:28,970
+المناخ أيضا الآن على الحضارة civilization .. 
+
+341
+00:36:28,970 --> 00:36:34,330
+civilization الحضارة كلمة التحضر زمان قلنا اسمها 
+
+342
+00:36:34,330 --> 00:36:43,250
+إيش؟ مين ذاكر؟ تحضر كان الدكتور صادق 
+
+343
+00:36:50,730 --> 00:36:58,150
+urbanization تحضر حضارة civilization ماشي؟ طيب 
+
+344
+00:36:58,150 --> 00:37:04,490
+بنلاقي زمان موطن الحضارات القديمة قامت في المناخات 
+
+345
+00:37:04,490 --> 00:37:08,510
+المعتدلة قامت 
+
+346
+00:37:08,510 --> 00:37:14,650
+في المناطق المعتدلة فالفراعنة أين قاموا؟ نهر النيل 
+
+347
+00:37:14,650 --> 00:37:23,550
+في المنطقة المعتدلة لا الآشورية والبابلية 
+
+348
+00:37:23,550 --> 00:37:27,870
+حكاية 
+
+349
+00:37:27,870 --> 00:37:34,670
+البابلية في مصر في حصن اسمه حصن بابلون حصن 
+
+350
+00:37:34,670 --> 00:37:42,510
+بابلون حتى لما فتح عمرو بن العاص مصر ذُكر هذا 
+
+351
+00:37:42,510 --> 00:37:47,530
+الحصن من المعارك التي انتصر فيها عمرو بن العاص 
+
+352
+00:37:47,530 --> 00:37:52,330
+عندما فتح مصر مين بيقول لماذا سمي هذا الحصن هذا 
+
+353
+00:37:52,330 --> 00:38:00,290
+الاسم؟ نسبة إلى الحضارة البابلية التي احتلت مصر إبان 
+
+354
+00:38:00,290 --> 00:38:04,530
+قيام البابلية شفتوا كيف الترابط في الأسماء؟ لكن 
+
+355
+00:38:04,530 --> 00:38:09,210
+غالبا هذا السؤال يُسأل للمتقدمين للوظيفة التعليمية 
+
+356
+00:38:09,210 --> 00:38:13,640
+في قسم التاريخ وإن لم يمروا على هذه المعلومة 
+
+357
+00:38:13,640 --> 00:38:23,840
+بيجيبوا غلط شفتوا كيف؟ انتبهوا لا تتركوا شريدة 
+
+358
+00:38:23,840 --> 00:38:29,200
+ووردة إلا تتعلموها ما ينفعش 
+
+359
+00:38:29,200 --> 00:38:33,960
+حصن بابلون يعني ما يجيش من فرق بعض الجهلة في 
+
+360
+00:38:33,960 --> 00:38:39,320
+الإجابة بيقولوا له هذا حصن نابليون لأن هناك تقارب 
+
+361
+00:38:39,320 --> 00:38:46,260
+في اللفظ طبعا السائل المدرس اللي هو قال له لأ هو هو 
+
+362
+00:38:46,260 --> 00:38:52,500
+حصن Babylon ما يعرفش يجاوب إجابة خاطر زي ما احنا 
+
+363
+00:38:52,500 --> 00:38:57,440
+بنقول عندنا قلعة نابليون اللي هي مدرسة الزهرة 
+
+364
+00:38:57,440 --> 00:39:03,320
+القديمة هي مش قلعة نابليون ولم يبنيها هي قصر لآل 
+
+365
+00:39:03,320 --> 00:39:09,710
+هشام، قصر لآل ردوان، قصر لآل ردوان هذه عائلة ثرية 
+
+366
+00:39:09,710 --> 00:39:15,430
+غنية جدا في فلسطين فبنت هذا القصر لما جاء 
+
+367
+00:39:15,430 --> 00:39:20,690
+نابليون إلى الشام حاب ينام ليلة في غزة فنام فيها 
+
+368
+00:39:20,690 --> 00:39:26,890
+لو ابننا حارة بن عمر كانت كلها إيش؟ لليوم كما هي، 
+
+369
+00:39:26,890 --> 00:39:30,530
+فغلط في التاريخ 
+
+370
+00:39:33,840 --> 00:39:41,680
+المناخ المعتدل يساعد على قيام الحضارات في حضارة 
+
+371
+00:39:41,680 --> 00:39:47,180
+أقيمت على جبال الأنديز في أمريكا الجنوبية اسمها 
+
+372
+00:39:47,180 --> 00:39:55,240
+حضارة .. بدي أدّي تلت درجات يا الله 
+
+373
+00:39:55,240 --> 00:40:02,180
+حضارة الإنكا برافو عليك يا عرن حضارة الإنكا برافو 
+
+374
+00:40:02,180 --> 00:40:07,250
+عليكم فاهمين أنتم كيف؟ حضارة في أمريكا الجنوبية 
+
+375
+00:40:07,250 --> 00:40:13,690
+قائمة على قمم الجبال اسمها حضارة الإنكا اللي عندها 
+
+376
+00:40:13,690 --> 00:40:20,510
+طبعا نت ممكن تكتب عليه حضارة الإنكا بتديني كام 
+
+377
+00:40:20,510 --> 00:40:27,690
+هاتف زي ما قلت لكم لازم نقرأ كل شيء لازم نقرأ كل 
+
+378
+00:40:27,690 --> 00:40:33,370
+شيء هذه فترة ذهبية لحشو المعلومات في الدماغ 
+
+379
+00:40:39,170 --> 00:40:43,530
+أيضا دور المناخ في توزيع السكان، لأن غالبية 
+
+380
+00:40:43,530 --> 00:40:47,310
+السكان في العالم يتركزون في المناطق المعتدلة 
+
+381
+00:40:47,310 --> 00:40:54,250
+والساحلية ونسبة قليلة جدا، أقل من 5% عايش في قلب 
+
+382
+00:40:54,250 --> 00:41:03,250
+القارات للمؤثرات القارية التي إيش تعيش 
+
+383
+00:41:03,250 --> 00:41:07,070
+في هذه المناطق الداخلية دور المناخ في النقل البري 
+
+384
+00:41:07,070 --> 00:41:12,660
+والبحري والجوي بنلاقي المناطق الحارة الصحراوية 
+
+385
+00:41:12,660 --> 00:41:18,940
+الطرق البرية غير سليمة دائما اما تتعرض لسف 
+
+386
+00:41:18,940 --> 00:41:24,320
+الرمال، معالم الطريق الصحراوية تختفي تماما أو 
+
+387
+00:41:24,320 --> 00:41:30,820
+المادة الإسفلتية بتسيح في فصل الشتاء، فبتأثر على 
+
+388
+00:41:30,820 --> 00:41:34,180
+إطارات السيارات 
+
+389
+00:41:37,300 --> 00:41:41,380
+أيضا في وقت العواصف والنقل الجوي يختفي 
+
+390
+00:41:41,380 --> 00:41:57,400
+والنقل البري يختفي، إيش حكيت أنت؟ في الصيف، 
+
+391
+00:41:57,400 --> 00:42:04,240
+في الصيف لارتفاع الحرارة لأ في الصيف ارتفاع درجة 
+
+392
+00:42:04,240 --> 00:42:10,520
+الحرارة أيضا الرياح بيخفي معالم الطريق يعني عشان 
+
+393
+00:42:10,520 --> 00:42:14,120
+هيك بنلاقي أن أفريقيا تأخر اكتشافها لأن أي وسيلة 
+
+394
+00:42:14,120 --> 00:42:17,480
+تتنقل من الشمال إلى الجنوب كانت تصطدم باختفاء 
+
+395
+00:42:17,480 --> 00:42:30,560
+معالم الطرق وأين تروح هذه الصحراء ماشي لأ 
+
+396
+00:42:30,560 --> 00:42:37,230
+لأ لأ دائما حتى الإطارات 
+
+397
+00:42:37,230 --> 00:42:40,130
+تحت السيارات ما هي مصنوعة على مستوى العالمي لكن في 
+
+398
+00:42:40,130 --> 00:42:44,310
+مخصصة للإطارات للمناطق الخشنة أو المناطق الصعبة 
+
+399
+00:42:44,310 --> 00:42:48,490
+يعني بيسموها مناخيا لكن ارتفاع الحرارة بشكل كبير 
+
+400
+00:42:48,490 --> 00:42:51,690
+في المناطق الصحراوية المادة الإسفلتية بتسيح 
+
+401
+00:42:52,460 --> 00:42:56,620
+بنلاقيها إيش؟ بتأثر على السخونة تعيطها على إطارات 
+
+402
+00:42:56,620 --> 00:43:01,440
+السيارات حتى على نطاق السكك الحديدية بنشوف إنه 
+
+403
+00:43:01,440 --> 00:43:06,180
+بيعملوا لي فراغ بين قضبان السكك الحديد ليش؟ لأنه 
+
+404
+00:43:06,180 --> 00:43:12,920
+خلال التمدد ما يديوش في بعض ويصطدموا يدلوا إيش؟ 
+
+405
+00:43:12,920 --> 00:43:17,540
+عواقب في خطوط السكك الحديدية 
+
+406
+00:43:20,140 --> 00:43:24,500
+دور المناخ في التربة، بنلاقي المناخ الجاف يؤدي إلى 
+
+407
+00:43:24,500 --> 00:43:29,560
+إيش؟ تصحر في التربة، بيؤدي إلى أن التربة إيش؟ ما 
+
+408
+00:43:29,560 --> 00:43:35,860
+تصلحش للزراعة، لأنه ما ببدي مية، وما فيش مية دور 
+
+409
+00:43:35,860 --> 00:43:39,880
+المناخ في الصناعة، هناك صناعات تحتاج إلى جو رطب، 
+
+410
+00:43:39,880 --> 00:43:45,440
+زي صناعة القطن صناعات تحتاج إلى جو جاف، زي صناعة 
+
+411
+00:43:45,440 --> 00:43:51,740
+الصوف، وبالتالي المناخ اليوم من العوامل التي تمت 
+
+412
+00:43:51,740 --> 00:44:00,760
+على توطن الصناعة في مناطق معينة دور الرياح الرياح 
+
+413
+00:44:00,760 --> 00:44:12,340
+أهم من عناصر المناخ في فرق بين الرياح والريح في 
+
+414
+00:44:12,340 --> 00:44:17,200
+فرق بين الرياح والريح فضل قولينا إيش الفرق بين 
+
+415
+00:44:17,200 --> 00:44:17,940
+الرياح والريح 
+
+416
+00:44:20,630 --> 00:44:25,850
+مش عارفة مش عارفة ما مرش عليكي حاولي اللي جانبيها 
+
+417
+00:44:25,850 --> 00:44:31,570
+and you مش عارفة اللي في التالتة شو الفرق بين 
+
+418
+00:44:31,570 --> 00:44:36,330
+الرياح والريح طيب 
+
+419
+00:44:36,330 --> 00:44:39,730
+ما هي تستوي على ثلاثة القضية مش أدلت يعني أكثر بس 
+
+420
+00:44:39,730 --> 00:44:41,970
+الرياح اللي هو أنا خاكيته بالقرار خاكيته على 
+
+421
+00:44:41,970 --> 00:44:45,550
+الرياح الصحية المنخفضة من الجوانب الشديدة القضية
+
+422
+00:44:45,550 --> 00:44:48,710
+الرياح
+
+423
+00:44:48,710 --> 00:44:52,990
+اللي هو عادلوالريح؟ هو الهواء الغير عادي، خلي
+
+424
+00:44:52,990 --> 00:45:02,090
+الإجابة تكون طبعاً على الوزن والقائف يعني قولكوا
+
+425
+00:45:02,090 --> 00:45:11,430
+مين ختمت القرآن مرة في رمضان؟ مش أكيد، فضلاً الريح
+
+426
+00:45:11,430 --> 00:45:17,870
+.. الريح بتيجي يعني المفرد للعذاب و لل .. يعني لل
+
+427
+00:45:17,870 --> 00:45:23,550
+.. أسفل للرحمة و الريح بتيجي يعني للبعث يعني
+
+428
+00:45:23,550 --> 00:45:30,490
+للرحمة برافو عليك برافو عليك برافو
+
+429
+00:45:30,490 --> 00:45:37,300
+عليك الريح و الرياح و أرسلنا الرياح لواقها يعني في
+
+430
+00:45:37,300 --> 00:45:42,220
+العراق أكثر من خمسين مليون نخلة، ما بيقدروش كل واحد
+
+431
+00:45:42,220 --> 00:45:45,960
+يطلع على النخلة يعمل عمليات التلقيح، فبيزرع كل
+
+432
+00:45:45,960 --> 00:45:50,620
+خمسة ستة نخلات، بينهم ذكر، عملية الرياح يتم عملية
+
+433
+00:45:50,620 --> 00:45:53,700
+التلقيح اللي هي النباتات، حتى التفاح اللي احنا
+
+434
+00:45:53,700 --> 00:45:58,720
+عايزين، أيضاً له تفاح ذكر يتم عملية التلقيح، وأرسلنا
+
+435
+00:45:58,720 --> 00:46:03,720
+الرياح لواقة لهم، في العمليات الزراعية بتريح بينما
+
+436
+00:46:03,720 --> 00:46:10,820
+الريح وأرسلنا عليهم ريحين سرسرين عاتيتين ولا لا
+
+437
+00:46:10,820 --> 00:46:17,100
+فالريح مدمرة أما
+
+438
+00:46:17,100 --> 00:46:22,720
+الرياح فهي إيه؟ يعني أحياناً بنلاقي كثير من البذور
+
+439
+00:46:22,720 --> 00:46:26,280
+في أماكن غير تواجدها يعني الطيور بتاخد البذور
+
+440
+00:46:26,280 --> 00:46:29,640
+تأكلها في أماكنها تغرب تزرع، طب شو اللي جبل؟ السبب
+
+441
+00:46:29,640 --> 00:46:34,120
+الزراعة أكيد أما الطيور أو الرياح خاصة أن الرياح
+
+442
+00:46:34,120 --> 00:46:41,600
+تحمل البذور الدقيقة ولا كيف انتشرت المزروعات قبل
+
+443
+00:46:41,600 --> 00:46:46,100
+ظهور الإنسان على السطح البسيطة من المؤكد أن الرياح 
+
+444
+00:46:46,100 --> 00:46:56,360
+هي التي نقلت بذورها وانتشرت فيها في فلسطين مرتبطة
+
+445
+00:46:56,360 --> 00:47:01,350
+قضية الأمطار بالرياح قضية الأمطار بالرياح ممكن
+
+446
+00:47:01,350 --> 00:47:08,110
+تخفي لي الـ .. السيد تخفي لي الـ .. أيوة كده نشوف
+
+447
+00:47:08,110 --> 00:47:12,730
+فلسطين والرياح فيها وعلاقتها بالأمطار وعلاقتها
+
+448
+00:47:12,730 --> 00:47:19,710
+بإيش؟ بالأمطار هاي فلسطين ماشي
+
+449
+00:47:19,710 --> 00:47:26,370
+بيقول لي المثل العامي أن هب الشمالي
+
+450
+00:47:29,630 --> 00:47:38,510
+أن هب الشمالي .. مين يكمل؟ مثل
+
+451
+00:47:38,510 --> 00:47:43,350
+شعبي أن
+
+452
+00:47:43,350 --> 00:47:54,740
+هب الشمالي يا جوعكوا يا عيالي ليش؟ لأن الفلاح عندي
+
+453
+00:47:54,740 --> 00:47:58,280
+بيعتمد على الأمطار، بيعتمد على الأمطار، والرياح
+
+454
+00:47:58,280 --> 00:48:03,020
+الشمالية تجيني قارية متطرفة زي الرياح الشرقية
+
+455
+00:48:03,020 --> 00:48:07,340
+عندي، تجيني إيش؟ اللي فيها اللي إيش؟ الأتربة وال
+
+456
+00:48:07,340 --> 00:48:11,820
+غبار، أنا بدي الرياح الغربية والجنوبية الغربية
+
+457
+00:48:11,820 --> 00:48:16,660
+الممطرة، فقال الفلاح والله إن هب الشمال يا جوعكوا لا
+
+458
+00:48:16,660 --> 00:48:23,330
+في زراعة قمح ولا في حصاد قمح ولا في أكل شفتوا كيف
+
+459
+00:48:23,330 --> 00:48:27,610
+لوين ارتباط الرياح حتى بالامثال الشعبية الفلسطينية
+
+460
+00:48:27,610 --> 00:48:38,930
+واللي ما عندوش إيش؟ واللي ما عندوش عيال مكيف ماشي؟
+
+461
+00:48:38,930 --> 00:48:45,770
+إذا تتأثر المناطق القريبة بالرياح وخاصة إذا كانت
+
+462
+00:48:45,770 --> 00:48:50,590
+الرياح آتية من وين؟ من البحر تعمل على تلطيف
+
+463
+00:48:50,590 --> 00:48:55,180
+درجات؟ الحرارة هجيل أنا لما اروح على البحر وأنزل
+
+464
+00:48:55,180 --> 00:48:59,620
+من السيارة على طول باجري وكأن أنا في العراق معايش
+
+465
+00:48:59,620 --> 00:49:05,880
+من الرياح اللطيفة اللي قاتلة من البحر ولا لا عشان
+
+466
+00:49:05,880 --> 00:49:10,340
+هيك أنا أيضاً مرتبط مثلاً جيبت في فلسطين المثل
+
+467
+00:49:10,340 --> 00:49:13,400
+الثاني عندي بيقول لي غرب
+
+468
+00:49:17,390 --> 00:49:23,690
+ولا تشرق يوم، ليش؟ لأنه أنا مشرق الشمس في وشي ولا
+
+469
+00:49:23,690 --> 00:49:30,150
+لا؟ الشمس في وشي وأنا مغرب الشمس في دهري زائد
+
+470
+00:49:30,150 --> 00:49:36,470
+النسمات من البحر في وشي فجاء غرب دوم، إذا للرياح
+
+471
+00:49:36,470 --> 00:49:41,190
+دور كبير في عملية الإشي حتى عندي أنا في فلسطين،
+
+472
+00:49:41,190 --> 00:49:46,510
+فيه؟ فبيقول لي اليوم أنا الجو عندي خمسيني مترب على
+
+473
+00:49:46,510 --> 00:49:55,000
+طول بيصير عمليات أزمة عندنا في المنازل تغلق جميع
+
+474
+00:49:55,000 --> 00:50:00,720
+النوافذ خوفا ما إيش، ما تدخل الأتربة عليش الأثاث
+
+475
+00:50:00,720 --> 00:50:06,260
+سبعتنا زائد أنا لو بدي أعمل أنا أي مصنع يعني على
+
+476
+00:50:06,260 --> 00:50:12,480
+سبيل المثال نمسح هذا خلصت فهمنا؟ قوليني المثل تبع
+
+477
+00:50:12,480 --> 00:50:18,280
+الرياح اللي في الأخير انطبق هانا تبع الـ ..
+
+478
+00:50:18,280 --> 00:50:24,360
+فعال رياح هباب، يا جوعكم؟ يا .. ليه؟ اليوم أنا
+
+479
+00:50:24,360 --> 00:50:31,420
+في قطاع غزة على سبيل المثال، أه؟ وين بحط مكاب
+
+480
+00:50:31,420 --> 00:50:38,170
+النفيات؟ شرق المدينة، شرق؟ المدينة النفايات بحطها
+
+481
+00:50:38,170 --> 00:50:42,430
+الصلبة وغير الصلبة في شرق المدينة عشان الرياح اللي
+
+482
+00:50:42,430 --> 00:50:48,170
+بتجينا عندي هذه الغربية تبعد الرائحة الكريهة عن
+
+483
+00:50:48,170 --> 00:50:53,390
+السكان وبالتالي لو بدى اعمل أي مصنع .. يعني قبل هيك
+
+484
+00:50:53,390 --> 00:50:59,910
+قلت لكم مصنع الإسمنت غرب مدينة عمان ملوث أجواء
+
+485
+00:50:59,910 --> 00:51:04,950
+عمان في منطقة نعور فبيصرخهم بيقولوا مشان الله
+
+486
+00:51:04,950 --> 00:51:10,450
+ابعدوا عننا هذا إيش .. المصنع فقبل تخطيط لأي مصنع
+
+487
+00:51:10,450 --> 00:51:17,610
+تقوم الدولة بعمل حساب للرياح عمل حساب لإيش؟ للرياح
+
+488
+00:51:17,610 --> 00:51:22,560
+وطبعا زي ما أنتم عارفين اليوم العلوم هي علوم
+
+489
+00:51:22,560 --> 00:51:29,040
+تطبيقية كما
+
+490
+00:51:29,040 --> 00:51:34,440
+تؤثر على عمليات صيد البحر يعني أيام اللي يكون عند
+
+491
+00:51:34,440 --> 00:51:40,360
+البحر أمواج وعاتي أو أي شيء تتوقف عمليات الصيد أما
+
+492
+00:51:40,360 --> 00:51:46,600
+لما يكون الصيد معتدل فتكثر عمليات الصيد أيضاً
+
+493
+00:51:46,600 --> 00:51:52,830
+المناخ له دور في السياحة في السياحة هجيت لما أقول
+
+494
+00:51:52,830 --> 00:51:58,070
+لماذا تنشط السياحة في منطقة أريحا لأن مناخها في
+
+495
+00:51:58,070 --> 00:52:05,110
+فصل الشتاء دافئ معتدل عشان
+
+496
+00:52:05,110 --> 00:52:11,230
+هيك بنلاقي الأمويين بنوا
+
+497
+00:52:11,230 --> 00:52:18,490
+قصورًا لهم في أريحا أشهر هذه القصور قصر روحشام ابن
+
+498
+00:52:18,490 --> 00:52:24,130
+عبد الملك .. قصر روحشام ابن عبد الملك وأيضاً بنوا
+
+499
+00:52:24,130 --> 00:52:29,870
+لهم قصور في بيت المقدس واللي بيجي متأخر كثير
+
+500
+00:52:29,870 --> 00:52:34,670
+بيدخل مكسوف .. بناشي نطردك إحنا .. بناشي نطردك ..
+
+501
+00:52:34,670 --> 00:52:42,290
+بس الآخر مرة فيه تخيّر .. ماشي .. بناشي نطردك ..
+
+502
+00:52:42,290 --> 00:52:48,970
+طيب تنشط عمليات إيش؟ السياحة، فبنلاقي السياحة
+
+503
+00:52:48,970 --> 00:52:53,250
+الصيفية تنشط على الشواطئ في جميع أنحاء العالم،
+
+504
+00:52:53,250 --> 00:52:57,270
+وتتوقف هذه السياحة وين؟ في فصل الشتاء، في فصل
+
+505
+00:52:57,270 --> 00:53:02,710
+الشتاء، فبنلاقي أن فصل الصيف هو أبو إيش؟ السياحة
+
+506
+00:53:02,710 --> 00:53:07,550
+أما فصل الشتاء فيبحث الناس عن المناطق الدفيئة
+
+507
+00:53:07,550 --> 00:53:14,680
+كمنطقة تاريخية على سبيل المثال طيب يطرى بدي أسأل
+
+508
+00:53:14,680 --> 00:53:23,280
+سؤال السياحة الدينية للمملكة العربية السعودية هل
+
+509
+00:53:23,280 --> 00:53:31,220
+تتوقف شتاء .. فضلاً
+
+510
+00:53:31,220 --> 00:53:32,980
+أنت ..
+
+511
+00:53:38,230 --> 00:53:44,830
+لأن السياحة مرتبطة بشكل أساسي بالدين، ليس لها علاقة
+
+512
+00:53:44,830 --> 00:53:49,070
+لا بالترفيه ولا بغير الترفيه، إنما هي سياحة
+
+513
+00:53:49,070 --> 00:53:56,090
+روحانية، إيمانية ومين يطول اليوم الحجر؟ مين يطول
+
+514
+00:53:56,090 --> 00:54:01,750
+اليوم؟ تفضل إيه؟ الوضع الصحيح، أن هناك كمان
+
+515
+00:54:01,750 --> 00:54:07,780
+إسرائيل كانوا تقريباً .. إحنا ما لهاش علاقة السياحة
+
+516
+00:54:07,780 --> 00:54:21,980
+الدنيا بالمناخ الثابت مئة
+
+517
+00:54:21,980 --> 00:54:26,180
+مئة السياحة الصيف نفس الشتاء لأنها مرتبطة بالدين
+
+518
+00:54:26,180 --> 00:54:27,980
+مرتبطة بالدين
+
+519
+00:54:32,380 --> 00:54:38,180
+طيب ماشي مش هاخلفكم بالـ .. الرأي وأحييكم على هذه
+
+520
+00:54:38,180 --> 00:54:44,140
+الإجابات الرائعة من العوابل أيضاً التي تؤثر هي
+
+521
+00:54:44,140 --> 00:54:52,220
+التربة لحتى الآن شفتوا قد إيش المناخ متشعر؟ يعني
+
+522
+00:54:52,220 --> 00:54:57,380
+المناخ لم يترك شيء إلا ودخل فيه مناحي الحياة مين
+
+523
+00:54:57,380 --> 00:55:01,340
+مش فاهم المناخ؟
+
+524
+00:55:01,340 --> 00:55:07,360
+أهو من أكبر العوامل المؤثرة في الاستغلال لأن عناصره
+
+525
+00:55:07,360 --> 00:55:13,720
+كثيرة، عناصره كثيرة ما
+
+526
+00:55:13,720 --> 00:55:18,900
+هنا الـ power point على الـ A4 يعني أنا بجري عليه
+
+527
+00:55:18,900 --> 00:55:24,200
+تعديل بما يتلقي عملية التصوير يعني أنا ما أقدرش كل
+
+528
+00:55:24,200 --> 00:55:30,180
+شيء اللي في المنزل معرضه على التصوير ما ينفعش بياخد
+
+529
+00:55:31,140 --> 00:55:34,780
+الكلام كثير لأ إحنا بناخد مقتطفات المفيدة جداً
+
+530
+00:55:34,780 --> 00:55:39,420
+ونحاول نشتريها أكثر فهتجدوا الكلام اللي هنا هو
+
+531
+00:55:39,420 --> 00:55:45,120
+مقتصر لما بين أيديكم هو مقتصر لما بين أيديكم والله
+
+532
+00:55:45,120 --> 00:55:52,080
+ساعتين لكن .. هو ده نفس الكلام اللي إيش يعني اللي
+
+533
+00:55:52,080 --> 00:55:57,700
+بنشرحه غالباً يكون في الـ .. التربة إيش تعريف
+
+534
+00:55:57,700 --> 00:55:58,440
+التربة؟
+
+535
+00:56:01,520 --> 00:56:12,660
+فضلاً اللي في الآخر كمان مايا تربة ممتازة
+
+536
+00:56:12,660 --> 00:56:18,760
+مئة بالمئة هي الطبقة التي تعلو سطح الأرض والتي
+
+537
+00:56:18,760 --> 00:56:23,620
+يمتد فيها النبات ويأخذ فيها مستلزمات الحياة تبعتها
+
+538
+00:56:23,620 --> 00:56:27,760
+ماشي والمكوّنة منها اتعددت التعريفات مش هناخد هذا
+
+539
+00:56:27,760 --> 00:56:32,870
+الكلام كيف تؤثر؟ أن التربة الغنية بالمواد المعدنية
+
+540
+00:56:32,870 --> 00:56:38,150
+أو العضوية تساعد على الإنتاج الوفير، تساعد على
+
+541
+00:56:38,150 --> 00:56:44,030
+الإنتاج الوفير، طبعاً عندي أنواع كثيرة جداً في التربة،
+
+542
+00:56:44,030 --> 00:56:50,950
+أنواع كثيرة جداً، ناخد تلت أنواع من التربة وعلاقتهم
+
+543
+00:56:50,950 --> 00:56:56,370
+بالإنتاج الزراعي، وخاصة لأن التربة مرتبطة أساساً
+
+544
+00:56:56,370 --> 00:57:01,250
+بالإنتاج الزراعي التربة الصحراوية ما هي الغلات
+
+545
+00:57:01,250 --> 00:57:06,270
+الزراعية التي تصلح لها؟
+
+546
+00:57:06,270 --> 00:57:14,710
+هي تربة مفككة مسامية يعني تعمل على نفاذية المياه
+
+547
+00:57:14,710 --> 00:57:19,470
+بسرعة وتبخر المياه بسرعة عشان هي تصلح لزراعة
+
+548
+00:57:19,470 --> 00:57:25,420
+الخضروات والري بالتنقيط والري بالتنقيط وزي ما
+
+549
+00:57:25,420 --> 00:57:30,760
+قلنا أن التنقيد سياسته إعطاء النبات حاجته من الميه
+
+550
+00:57:30,760 --> 00:57:36,980
+يعني يختلف عن الري الحياضي فأنا
+
+551
+00:57:36,980 --> 00:57:45,600
+ما أزرعش في التربة الرملية المسامية غلات معمرة
+
+552
+00:57:45,600 --> 00:57:53,580
+ما ينفعش ثم ما ينفعش أزرع فيها قصب سكر لأن هو بيده
+
+553
+00:57:53,580 --> 00:57:57,360
+تربة غير مسامية تحتفظ برطوبة مديدة، ما ينفعش أزرع
+
+554
+00:57:57,360 --> 00:58:05,020
+فيها أرز، لكن بينفع فيها أزرع بطاطا، فهي تربة
+
+555
+00:58:05,020 --> 00:58:07,380
+الرملية، اثنين التربة الفيضية
+
+556
+00:58:11,640 --> 00:58:15,960
+التربة الياش الفيضية هي من أصلح أنواع التربات
+
+557
+00:58:15,960 --> 00:58:22,540
+للزراعة ليش؟ لأنها تأتي من خلاصة التضاريس التي
+
+558
+00:58:22,540 --> 00:58:28,020
+يسير عليها المجرى المائي غنية بالعناصر المكونة
+
+559
+00:58:28,020 --> 00:58:31,220
+للتضاريس التي سارت عليها فاترة عشان هيك بنلاقي
+
+560
+00:58:31,220 --> 00:58:36,600
+أنجح الزراعات تلك التي تقوم على التربة الياش وخاصة 
+
+561
+00:58:36,600 --> 00:58:40,680
+إن هي تتزامن مع وجود المياه تتزامن مع وجود
+
+562
+00:58:43,370 --> 00:58:48,750
+المياه النوع الثالث من التربات هي التربة الجبلية
+
+563
+00:58:48,750 --> 00:58:54,730
+التي تتحول إلى ماذا؟ هي بتكون تربة رقيقة تربة ماذا؟
+
+564
+00:58:54,730 --> 00:59:00,070
+رقيقة وليس سميكة لأنها تتعرض دائماً للتجريف تتعرض
+
+565
+00:59:00,070 --> 00:59:05,450
+دائماً لماذا؟ للتجريف عشان هيك بنشوف جبال الضفة
+
+566
+00:59:05,450 --> 00:59:12,050
+الغربية تزرع على شكل ماذا في الأخير؟ انزل؟اللي
+
+567
+00:59:12,050 --> 00:59:18,930
+فلاكير فلاكير أنت اه مدرجات تزرع على شكل مدرجات
+
+568
+00:59:18,930 --> 00:59:28,570
+واخدت زمان أنا اليمن زراعة فيها بالمدرجات هذا
+
+569
+00:59:28,570 --> 00:59:32,750
+الكلام كله هنلاقيه طبعاً في بالتفصيل لأنه أنا انفصل
+
+570
+00:59:32,750 --> 00:59:38,470
+عندكم التربات كلها و ايش تصل فيها من نبات طبيعي
+
+571
+00:59:38,470 --> 00:59:45,550
+نبات طبيعي مقسم إلى غابات وحشائش، غابات وحشائش،
+
+572
+00:59:45,550 --> 00:59:52,710
+غابات بأنواعها وحشائش بأنواعها ما
+
+573
+00:59:52,710 --> 00:59:57,770
+هي الحرفة السائدة في مناطق الغابية؟ قطع الأخشاب،
+
+574
+00:59:57,770 --> 01:00:03,790
+قطع الأخشاب ما هي الحرفة السائدة في المناطق
+
+575
+01:00:03,790 --> 01:00:13,960
+العشبية؟ الرعي، الرعي، عشانيك بلاقي أن النشاط
+
+576
+01:00:13,960 --> 01:00:18,520
+الاقتصادي السائد في المناطق الغابية هي صناعة
+
+577
+01:00:18,520 --> 01:00:23,220
+الأخشاب الصناعة الخشبية الصناعة إيش؟ الخشبية و
+
+578
+01:00:23,220 --> 01:00:28,460
+الحرفة قطع الأخشاب في المناطق العشبية سواء كانت
+
+579
+01:00:28,460 --> 01:00:35,860
+السبخة أو السفانا، الرعي وتربية الثروة الحيوانية
+
+580
+01:00:35,860 --> 01:00:41,810
+إيش الصناعة التي تقوم عليها؟ صناعة الألبان والجلود
+
+581
+01:00:41,810 --> 01:00:50,130
+واللحوم ماشي هذا كله منه أيضاً حتى في الاستراتيجية
+
+582
+01:00:50,130 --> 01:00:55,390
+الحربية بنلاقي أن الغابات تعتبر معيقة لمن؟ للتقدم 
+
+583
+01:00:55,390 --> 01:01:02,890
+العسكري يعني من تأخر احتلال فرنسا من ألمانيا كان
+
+584
+01:01:02,890 --> 01:01:08,840
+النطاق الغابي الذي موجود بين ماذا؟ ألمانيا وفرنسا لكن
+
+585
+01:01:08,840 --> 01:01:16,260
+اليوم الوسائل العلمية أوجدت وسائل إزالة الغابات
+
+586
+01:01:16,260 --> 01:01:21,060
+وبالفعل الإنسان استطاع إزالة كثير من المساحات
+
+587
+01:01:21,060 --> 01:01:27,620
+الغابية أو العشبية ليحول محلها ماذا؟ زراعة أو عمران
+
+588
+01:01:30,700 --> 01:01:36,640
+الحيوان الطبيعي طبعاً مرتبط ارتباط أساسي بالنبات،
+
+589
+01:01:36,640 --> 01:01:39,860
+عشان
+
+590
+01:01:39,860 --> 01:01:50,900
+ذلك نلاقي هناك هجرة للحيوان الطبيعي كل سنة من
+
+591
+01:01:50,900 --> 01:01:52,920
+الشمال إلى الجنوب في فصل
+
+592
+01:01:56,280 --> 01:02:00,660
+حيوانات اللي هي القبائل الاسكيمو اللي هو الغزال و
+
+593
+01:02:00,660 --> 01:02:06,680
+اللاب اللي بعيش في شمال العالم تهاجر كل سنة في فصل
+
+594
+01:02:06,680 --> 01:02:13,000
+الشتاء جنوباً لماذا؟ لأن خط الثلج الدائم يتقدم جنوباً
+
+595
+01:02:13,000 --> 01:02:18,460
+وتعود إلى ما كانت عليه في فصل الصيف لأن خط الثلج
+
+596
+01:02:18,460 --> 01:02:22,200
+الدائم يتراجع في هذا الفصل فهناك هجرة
+
+597
+01:02:25,480 --> 01:02:31,560
+موسمية للحيوانات حتى عندي في فلسطين في عندي ما
+
+598
+01:02:31,560 --> 01:02:38,380
+يُعرف باسم الطيور المهاجرة زي .. من يقولي زي ماذا؟
+
+599
+01:02:38,380 --> 01:02:46,480
+الطيور المهاجرة زي .. اه في عندي طيور أنا بشوفها
+
+600
+01:02:46,480 --> 01:02:52,900
+في أكتوبر كثيراً وفي سبتمبر طيور .. اه
+
+601
+01:02:56,460 --> 01:03:02,360
+البط البري يهاجر إقليمياً يهاجر بيشوف وفود في
+
+602
+01:03:02,360 --> 01:03:07,440
+السماء من البط البري بيسميه الوز العراقي بيسميه
+
+603
+01:03:07,440 --> 01:03:12,880
+الوز العراقي هذا يهاجر هجرة إقليمية يعني يمكن ما
+
+604
+01:03:12,880 --> 01:03:18,300
+يقعدش في غزة بيشوفه أفواج في السماء ويهاجر لكن
+
+605
+01:03:18,300 --> 01:03:25,050
+أنا بشوف في عندي في بداية فصل الشتاء بعض الطيور أبو
+
+606
+01:03:25,050 --> 01:03:34,170
+فصادة مش بتشوفوا الجرجرز بتشوفوش الجرجز؟ الجرجز زي
+
+607
+01:03:34,170 --> 01:03:40,190
+العصفور زي الدوارة زي الدوارة مشوفش الصيادين اللي
+
+608
+01:03:40,190 --> 01:03:46,630
+بينصبوا الشباك للفرخ على شاطئ البحر بس هذه .. هذه
+
+609
+01:03:46,630 --> 01:03:54,150
+يعني حرف أو أعمال كادت تختفيكذا يعني رسم ال .. أو
+
+610
+01:03:54,150 --> 01:04:00,270
+وضع الشباك على البحر الآن يمكن نادر ما نشوفه لماذا؟
+
+611
+01:04:00,270 --> 01:04:08,030
+لأنه صار الفرخ يربى محلياً يربى ماذا؟ محلياً ويقولوا
+
+612
+01:04:08,030 --> 01:04:13,130
+احنا بنعمل الفرخ بالفريك
+
+613
+01:04:13,130 --> 01:04:21,870
+اه بيقولك أنا أكلت اليوم فرخ بالفريك اه شربه؟ ما أعرفش
+
+614
+01:04:21,870 --> 01:04:25,210
+أيضاً
+
+615
+01:04:25,210 --> 01:04:31,570
+الحيوانات طبعاً بتنزل من قمة الجبل في فصل الشتاء
+
+616
+01:04:31,570 --> 01:04:36,510
+إلى الـ bottom وايضاً في فصل الصيف تعود إلى قمة
+
+617
+01:04:36,510 --> 01:04:42,630
+الجبل فهذه هجرة الحيوانات طبعاً بناء على ماذا؟ على حالة
+
+618
+01:04:42,630 --> 01:04:48,800
+المناخ الموارد الخام المعدنية وعلاقتها بالنشاط
+
+619
+01:04:48,800 --> 01:04:55,080
+الاقتصادي نجد أن الإنسان يستغل تلك الموارد إذا كان
+
+620
+01:04:55,080 --> 01:05:00,620
+إنتاجه اقتصادياً، فبنلاقي في قلب الصحراء كثير من
+
+621
+01:05:00,620 --> 01:05:07,220
+المواد الخام يقوم الإنسان باستغلالها، حتى هناك مدن
+
+622
+01:05:07,220 --> 01:05:13,130
+تنشأ في قلب الصحاري اسمها مدن التعدين مدن التعدين
+
+623
+01:05:13,130 --> 01:05:19,230
+هذه طبعاً إذا اختفى المعدن وما عاد ينتج تصبح مدن
+
+624
+01:05:19,230 --> 01:05:28,440
+أشباه مدن تنتهي في معظم المراكز العمرانية التي تنشأ
+
+625
+01:05:28,440 --> 01:05:32,780
+من أجل استغلال المعادن في المناطق النائية بتكون غير
+
+626
+01:05:32,780 --> 01:05:37,700
+متحضرة وغير متطورة حتى الخدمات فيها قليلة وبدأوا
+
+627
+01:05:37,700 --> 01:05:42,900
+البنات طبعاً يطلعوا في الساعة إلى أنه أوشك الوقت
+
+628
+01:05:42,900 --> 01:05:47,860
+على آخر عنصر عندي باقي اللي جايب نخش اللي هو ماذا؟
+
+629
+01:05:49,070 --> 01:05:52,970
+الموارد المائية التي حكينا عنها بالتفصيل مع
+
+630
+01:05:52,970 --> 01:05:57,010
+الأمطار لأن الأمطار هي الأمطار شايفينه الأمطار
+
+631
+01:05:57,010 --> 01:06:04,170
+والأنهار والبحيرات هي جزء لا يتجزأ من المناخ حيث أين
+
+632
+01:06:04,170 --> 01:06:10,510
+فيه مياه يستوطن الإنسان بينما الصحاري خالية من
+
+633
+01:06:10,510 --> 01:06:18,010
+المياه يقتصر العمران في الصحاري في كابلونالواحات
+
+634
+01:06:18,010 --> 01:06:24,350
+برافو عليكي والواحات طبعاً تكون قريبة من المياه
+
+635
+01:06:24,350 --> 01:06:28,710
+الجوفية إن وجدت في الصحراء ننتقل عند العوامل
+
+636
+01:06:28,710 --> 01:06:34,050
+البشرية وأثرها في استخدام واستغلال الموارد وإلى
+
+637
+01:06:34,050 --> 01:06:36,870
+لقاء آخر فاهمين ولا مش فاهمين؟
diff --git a/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/EgPjJuaedhk_raw.srt b/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/EgPjJuaedhk_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..6cd4efec20803d90a099cb2ffa2a772afcd31122
--- /dev/null
+++ b/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/EgPjJuaedhk_raw.srt
@@ -0,0 +1,1868 @@
+1
+00:00:12,440 --> 00:00:18,680
+بسم الله والصلاة والسلام على رسول الله طبعا السلام
+
+2
+00:00:18,680 --> 00:00:28,200
+عليكم ورحمة الله وبركاته اليوم نكمل في الفصلمتعلق
+
+3
+00:00:28,200 --> 00:00:37,140
+بالمعادن في العالم وصلنا إلى العوامل المؤثرة في
+
+4
+00:00:37,140 --> 00:00:43,340
+استغلال المعادن واخدناها عشان ندخل على الموضوع
+
+5
+00:00:43,340 --> 00:00:48,660
+الجديد مصادر الطاقة نشوف ما هي العوامل المؤثرة في
+
+6
+00:00:48,660 --> 00:00:55,020
+استغلال المعادن واحد اه احكوا
+
+7
+00:00:58,180 --> 00:01:02,240
+الموقع الجغرافي للمعدن الموقع الجغرافي للمعدن
+
+8
+00:01:02,240 --> 00:01:07,160
+وقولنا انه كلما كان المعدن قريب من مناطق التصدير
+
+9
+00:01:07,160 --> 00:01:13,360
+او مناطق التصنيع يسهل استغلاله وضربنا مثلين حديث
+
+10
+00:01:13,360 --> 00:01:20,180
+الهند وحديث الولايات المتحدة الأمريكية
+
+11
+00:01:21,270 --> 00:01:26,690
+تنين طبيعة النشاط التعديني احنا قولنا ان هو نشاط
+
+12
+00:01:26,690 --> 00:01:32,730
+هدمي يعني يدمر الطبيعة ويخربها عشان هي تقوم الدولة
+
+13
+00:01:32,730 --> 00:01:40,430
+بعد ذلك بإيش؟ بعملية تجميل المكان وغالبا اما ان
+
+14
+00:01:40,430 --> 00:01:49,810
+يحول الى مناطق سياحية او منتزهات او منتزهات لكن هو
+
+15
+00:01:49,810 --> 00:01:58,170
+غالبايُترك بلا تطوير،
+
+16
+00:01:58,170 --> 00:02:03,470
+ليش؟ لأنه غالبية المعادن بتكون وين؟ في الصحاري،
+
+17
+00:02:03,470 --> 00:02:10,670
+ومين بيدروح يشم هوا أو يسيح؟يذهب سياحة في الصحاري
+
+18
+00:02:10,670 --> 00:02:20,310
+فتترك مناطق التعديد رتبة الخام جدش فيه كمية المعدن
+
+19
+00:02:20,310 --> 00:02:27,010
+الخالص بيشجع الدولة وشوفنا انه اقل نسبة معادن في
+
+20
+00:02:27,010 --> 00:02:32,630
+الطبيعة ورتبتها هي الدهب عشان هيك بنلاقي ان الدهب
+
+21
+00:02:32,630 --> 00:02:40,730
+من اكثر المعادنسعراً كمية المعدن جداش ممكن يصمد
+
+22
+00:02:40,730 --> 00:02:46,810
+المعدن في المستقبل والعمر الزمني للمعدن زي ما شفنا
+
+23
+00:02:46,810 --> 00:02:48,110
+في الجدول
+
+24
+00:02:50,540 --> 00:02:57,480
+البدائل، دايما البدائل بتخفف من الاعتماد على
+
+25
+00:02:57,480 --> 00:03:05,120
+المعدن الأصلي طيب ماذا نتصور خام الحديد على سبيل
+
+26
+00:03:05,120 --> 00:03:13,080
+المثال، هليله بدائل؟ خام الحديد، أطلاقا لاليش
+
+27
+00:03:13,080 --> 00:03:18,640
+اطلاقا لا؟ لأن المعدن الوحيد الذي نجح بأن يكون من
+
+28
+00:03:18,640 --> 00:03:25,680
+أصلب المعادن وأقواها وأثقلها وزناً، تلت خصائص،
+
+29
+00:03:25,680 --> 00:03:32,880
+أصلب المعادن أقواها، بل والرابعة من أوسع المعادن
+
+30
+00:03:32,880 --> 00:03:36,040
+انتشارا واستخداما في كل العصور
+
+31
+00:03:39,180 --> 00:03:46,820
+طيب، مين هو النبي اللي استخدم الحديد؟ داود عليه
+
+32
+00:03:46,820 --> 00:03:51,220
+السلام، bravo عليك، bravo عليك، داود عليه السلام
+
+33
+00:03:51,220 --> 00:03:56,720
+في الآية اللي بتقول وقلنا له الحديد طب احنا يعني
+
+34
+00:03:56,720 --> 00:04:01,980
+بنعرف ان الحديد هو عبارة عن خب مفتلط مع الترب أو
+
+35
+00:04:01,980 --> 00:04:07,400
+الصفور صح؟ طب كيف كان يعمل الحديد النبي داود عليه
+
+36
+00:04:07,400 --> 00:04:15,200
+السلام؟يعني هل هو يعني شكل عمل مصنع حديد و صلب و
+
+37
+00:04:15,200 --> 00:04:20,320
+.. و احنا شفنا انه استخدام الفحم اوعدنا هنشوف في
+
+38
+00:04:20,320 --> 00:04:26,720
+صناعة الحديد؟ بدها مناقشة او بدها فهم اه؟ طيب
+
+39
+00:04:26,720 --> 00:04:32,340
+التطور الاقتصادي اللي بيحدث في العالمرهيب جدا انه
+
+40
+00:04:32,340 --> 00:04:40,420
+يحسن او يطور او يقتصد من استهلاك المعادن وخاصة زي
+
+41
+00:04:40,420 --> 00:04:44,520
+ما بنشوف ان احنا في النصف الثاني من القرن العشرين
+
+42
+00:04:44,520 --> 00:04:52,980
+حدث تطور في العالم اكثر من الفترة السابقة لهذا
+
+43
+00:04:52,980 --> 00:04:53,720
+التاريخ
+
+44
+00:04:56,150 --> 00:05:01,550
+نفس التطور التكنولوجي يعني اليوم التطور التكنولوجي
+
+45
+00:05:01,550 --> 00:05:07,790
+لا يتخيله العقل يعني انا بدأ اقولكم تصوروا انه
+
+46
+00:05:07,790 --> 00:05:17,230
+اليوم في دعاية للجوال على شكل الرمانة بيعمل جهوة
+
+47
+00:05:17,230 --> 00:05:25,150
+تصوروا جوال اختراع ألماني على تلت قطع
+
+48
+00:05:26,360 --> 00:05:31,320
+على تلت قطع بتفرديه بهذا الشكل وبعدين بتركبيه بهذا
+
+49
+00:05:31,320 --> 00:05:36,060
+الشكل دعايته موجودة في التليفزيون او ممكن تبحثوا
+
+50
+00:05:36,060 --> 00:05:39,040
+على ال نت بتلاقيوا الدعاية بشفط المياه سخنة من
+
+51
+00:05:39,040 --> 00:05:45,440
+الكفاية عمليات المدخلات هذه ثم بيخرج جهوة وانا
+
+52
+00:05:45,440 --> 00:05:49,900
+شوفت هذا في عينيه هذا تطور تكنولوجي بمعنى انه
+
+53
+00:05:49,900 --> 00:05:55,300
+اليوم التطور التكنولوجي الكمبيوتر صار دافترصار
+
+54
+00:05:55,300 --> 00:06:03,040
+دفتر فكل هذا يقوم لخدمة الإنسان الطور الحكومي طبعا
+
+55
+00:06:03,040 --> 00:06:07,520
+احنا بنشوف انه من اهم دور للحكومة هي عملية اما
+
+56
+00:06:07,520 --> 00:06:13,960
+تسهيل للاجراءات او مساعدة انشاء مصانع او حماية
+
+57
+00:06:13,960 --> 00:06:17,220
+المنتج او الاخر فهذا بيساعد على
+
+58
+00:06:30,380 --> 00:06:34,660
+مصادر الطاقة في رابعا
+
+59
+00:06:39,210 --> 00:06:44,770
+عشان ما نضيعش، هاي مصادر الطاقة، yes؟ طيب، واحد
+
+60
+00:06:44,770 --> 00:06:50,050
+تتعدد مصادر الطاقة، أهم مصادر الطاقة وأوساها
+
+61
+00:06:50,050 --> 00:06:55,490
+انتشارا هو الفحم، هو إيش؟ الفحم، بدك تحكي دنيا
+
+62
+00:06:55,490 --> 00:07:04,640
+انت؟تعالى احكى مانت مجهزتى و بدانها نسمع عشان
+
+63
+00:07:04,640 --> 00:07:10,540
+الدرجة لأ احنا بنقول كل شي قابل التعديل مدام هي
+
+64
+00:07:10,540 --> 00:07:15,420
+طالبة متميزة لما ممكن نعدل و خاصة انهلسه العلامات
+
+65
+00:07:15,420 --> 00:07:19,980
+لم تُرصد وإن كانت العلامات من الأمانات في الجامعة
+
+66
+00:07:19,980 --> 00:07:27,280
+الإسلامية لكن هي أيضا مع إعطاء كل دي حق و ألا تظلم
+
+67
+00:07:27,280 --> 00:07:32,040
+أو يظلم الطالب بالنسبة للدرجة فهمت يا دينا؟
+
+68
+00:07:32,040 --> 00:07:35,740
+فالعلاقة ده إنه يدخل السرور على قلبك اه؟ اتفضلي
+
+69
+00:07:35,740 --> 00:07:36,340
+تعالي
+
+70
+00:07:49,700 --> 00:07:53,500
+أولا بسم الله الرحمن الرحيم والصلاة والسلام علي
+
+71
+00:07:53,500 --> 00:08:00,670
+رسول الله، اما بعد اللهمعلمنا ماينفعنا اللهم علمنا
+
+72
+00:08:00,670 --> 00:08:05,870
+ماينفعنا وانفعنا بما علمتنا وزيبنا علمان أحييكم
+
+73
+00:08:05,870 --> 00:08:09,190
+جميعا بتحية الإسلام العظيم السلام عليكم ورحمة الله
+
+74
+00:08:09,190 --> 00:08:13,290
+وبركاته طبعا احنا في الفصل الثامن وهو يتحدث عن
+
+75
+00:08:13,290 --> 00:08:18,230
+الطاقة في العالم عرفنا أن الطاقة هي القوة الكامنة
+
+76
+00:08:18,230 --> 00:08:22,730
+وهي لا ترى بالعين المجردة إنما يرى أثارهاطبعا إن
+
+77
+00:08:22,730 --> 00:08:28,690
+الإنسان استخدم قوته الكامن قديما وحتى الأن قد أني
+
+78
+00:08:28,690 --> 00:08:32,910
+استخدمها حيث أن الإنسان أول ما استخدمها في عملية
+
+79
+00:08:32,910 --> 00:08:39,150
+حمل الأفقار و بعد ذلك استخدم القوة الطاقة للحيوان
+
+80
+00:08:39,150 --> 00:08:42,810
+عندما استأنساه و بعد ذلك مع التطور أصبح للإنسان
+
+81
+00:08:42,810 --> 00:08:47,710
+عدة مصادر للطاقة و منها الطاقة الشمسية و الطاقة
+
+82
+00:08:47,710 --> 00:08:51,250
+الكهربائية و غيرها من أنواع الطاقة طبعا اليوم احنا
+
+83
+00:08:51,250 --> 00:08:55,200
+نتعرف علىمصادر الطاقة طبعا مصادر الطاقة اللى هى
+
+84
+00:08:55,200 --> 00:08:59,940
+أول حاجة الفحم يعد الفحم من أقدم مصادر الطاقة فى
+
+85
+00:08:59,940 --> 00:09:03,480
+العالم إذ استخدمه بشكل واسع فى بريطانيا فى القرن
+
+86
+00:09:03,480 --> 00:09:09,880
+الثالث عشر وما زال لحد الآن يحتل حيزا كبيرة ومصدرا
+
+87
+00:09:09,880 --> 00:09:13,860
+للطاقة فى العالم وخاصة بعد الثورة الصناعية اللى
+
+88
+00:09:13,860 --> 00:09:20,350
+أظهرت أهمية الفحم فى صناعة الحديد والصلرغم إغلاق
+
+89
+00:09:20,350 --> 00:09:25,070
+بعض الدول مناجمها الغير اقتصادية إلا أنه ما زال
+
+90
+00:09:25,070 --> 00:09:30,250
+يستخدم الفحم وأيضا يحتل حيزا كبيرا لإنتاج الطاقة
+
+91
+00:09:33,820 --> 00:09:38,420
+أيضا تتوقف القيمة الفعلية للفحم على نسبة ال carbon
+
+92
+00:09:38,420 --> 00:09:43,100
+الذي يحتويه و كذلك نسبة الرتوبة فيه فترتفع قيمة
+
+93
+00:09:43,100 --> 00:09:47,480
+القيمة الاقتصادية للفحم عندما يرتفع نسبة ال carbon
+
+94
+00:09:47,480 --> 00:09:53,560
+فيه وتقل نسبة الرتوبة إلى 10% لذلك تستهلك الأنواع
+
+95
+00:09:53,560 --> 00:09:57,700
+الرديئة من الفحم محليا لأنها تتكسر وبالتالي تحتاج
+
+96
+00:09:57,700 --> 00:10:01,660
+إلى تكاليف النقل وبالتالي ترتفع أسعاره ولذلك هي
+
+97
+00:10:01,660 --> 00:10:09,890
+تستهلك محلياأيضا هناك عدة أنواع للفحميعني أول نوع
+
+98
+00:10:09,890 --> 00:10:14,550
+من أنواع الفحم هو نوع فحم الـLynthracete فحم
+
+99
+00:10:14,550 --> 00:10:19,170
+الـLynthracete يعد أسلب أنواع الفحم لأنه تكون في
+
+100
+00:10:19,170 --> 00:10:23,710
+الزمن الجيولوجي الأول في العصر الفحمين لذلك فإنهم
+
+101
+00:10:23,710 --> 00:10:28,330
+قد تعرضوا للضغط الشديد والحرارة الشديدة نتيجة
+
+102
+00:10:28,330 --> 00:10:33,030
+تراكم الإرسابات العظيمة عليه فأدى إلى تفحمه جيدا
+
+103
+00:10:33,620 --> 00:10:38,860
+أيضا فحم الانثراسيد نسبة الكربون تصل فيه الى 90%
+
+104
+00:10:38,860 --> 00:10:43,960
+من وزنه ونسبة الكربون تعني هنا هي كمية الحرارة
+
+105
+00:10:43,960 --> 00:10:49,300
+التي تتولد عند احتراق هذا الفحم لكن هذا الفحم فحم
+
+106
+00:10:49,300 --> 00:10:54,220
+الانثراسيد هو محدود الانتشار الذى يوجد في جنوب
+
+107
+00:10:54,220 --> 00:10:58,270
+ويسكأيضا يوجد في بعض الحقول الصغيرة زى الصين
+
+108
+00:10:58,270 --> 00:11:02,830
+وروسيا وأوكرانيا هذا النوع من الفحم اللى هو الفحم
+
+109
+00:11:02,830 --> 00:11:06,890
+الانفراسيد لا يستخدم كثيرا في الصناعة وذلك لإن
+
+110
+00:11:06,890 --> 00:11:11,050
+أحنا حكينا أن هو محدود الانتشار، أيضا التكاليف
+
+111
+00:11:11,050 --> 00:11:16,490
+تعدينا هو استخراجه من بطن الأرض هي أيضا مرتفعةلذلك
+
+112
+00:11:16,490 --> 00:11:21,550
+هو يستخدم للتطفئة و للطهي بصفة خاصة يسهم هذا النوع
+
+113
+00:11:21,550 --> 00:11:26,650
+من الفحم بنسبة 5% من الإنتاج العالمي للفحم، هذا
+
+114
+00:11:26,650 --> 00:11:30,870
+أول نوع من أنواع الفحم أما النوع الثاني من أنواع
+
+115
+00:11:30,870 --> 00:11:36,260
+الفحمهو فحم البيوتيومين فحم البيوتيومين يعرف باسم
+
+116
+00:11:36,260 --> 00:11:40,980
+الفحم اللين تميزا عن سابقه عشان نميز انه بين ..
+
+117
+00:11:40,980 --> 00:11:45,040
+نقارن بين فحم الانثراسيد وفحم البيوتيومين انه
+
+118
+00:11:45,040 --> 00:11:49,060
+الفرق بينهم انه الأول صلب أما الثاني لين طب الثاني
+
+119
+00:11:49,060 --> 00:11:53,620
+لين .. الثاني لين لإنه سمى بذلك لإنه يتعرض لتسخين
+
+120
+00:11:53,620 --> 00:11:59,190
+لاستخراج القتران من هذا الفحمأيضا نسبة الكربون فيه
+
+121
+00:11:59,190 --> 00:12:04,090
+أقل من الأول فتصل ما بين 70 إلى 90% هو أيضا يعطي
+
+122
+00:12:04,090 --> 00:12:08,510
+كمية حرارة كبيرة بالنسبة لوزن عند اشتعاله، نسبة
+
+123
+00:12:08,510 --> 00:12:13,290
+الشوائب والمواد الطيارة هي أيضا منخفضة فيه، يستخدم
+
+124
+00:12:13,290 --> 00:12:19,100
+في صناعة فحم الكوك اللازم لصناعة الحديد الصلبأيضا
+
+125
+00:12:19,100 --> 00:12:24,080
+يستخدم في غاز الاستصباح وفي الصناعات الكيموية ينتج
+
+126
+00:12:24,080 --> 00:12:28,520
+حوالي منه الفين و تمانية مليون تون متري أي حوالي
+
+127
+00:12:28,520 --> 00:12:33,160
+ثلثية الإنتاج العالمي من الفحم هذا التاني نوع من
+
+128
+00:12:33,160 --> 00:12:37,440
+أنواع الفحم تالت نوع من أنواع الفحم فحم لجنايت
+
+129
+00:12:37,440 --> 00:12:42,560
+يسمى بالفحم البني وهو أردع أن أردع أنواع الفحم طب
+
+130
+00:12:42,560 --> 00:12:44,540
+لماذا هو فحم رديق؟
+
+131
+00:12:46,700 --> 00:12:50,660
+الحلقة بتكملها أكيد أكيد بس أنا حبيت عشان أعمل
+
+132
+00:12:50,660 --> 00:12:55,260
+التفاعل بالمحاضرة فحم لجنيه هو أردق أنواع الفحم
+
+133
+00:12:55,260 --> 00:12:59,120
+لإنه حديث التكويه وبالتالي احنا حكينا فحم
+
+134
+00:12:59,120 --> 00:13:03,340
+الينثراسيد هو أصلب أنواع الفحم و أفضلها لإنه تكون
+
+135
+00:13:03,340 --> 00:13:07,100
+في الزمن الجيولوجي الأول من العصر الفحمي فأدى إلى
+
+136
+00:13:07,100 --> 00:13:12,070
+عظم الإرساباتفوق هذا الفحم و اتعرضه للحرارة و
+
+137
+00:13:12,070 --> 00:13:16,070
+الضغط الشديد فادى الى تفحومه جيدا و ارتفاع نسبة ال
+
+138
+00:13:16,070 --> 00:13:19,790
+carbon B ايضا هو تكون في الزمن الجيولوجي التالت و
+
+139
+00:13:19,790 --> 00:13:23,650
+الرابع لذلك هو في طور التكوين اي انه لم يتكون بعض
+
+140
+00:13:23,650 --> 00:13:28,550
+و لم يتعرض للحرارة و الضغط اللازمين لازمين حتى
+
+141
+00:13:28,550 --> 00:13:37,450
+يتفحم هذا الفحم جيدا كل ما قدمت تكوينه كل
+
+142
+00:13:37,450 --> 00:13:42,210
+ما ارتفعتأيضا يطلق على هذا الفحم بالفحم الحجري أو
+
+143
+00:13:42,210 --> 00:13:46,950
+الفحم النباتي نسبة الكربون تقل في تصل من بين 45
+
+144
+00:13:46,950 --> 00:13:51,650
+إلى 65 في المياه أيضا هذا الفحم يستغل في التدفئة و
+
+145
+00:13:51,650 --> 00:13:55,350
+يستغل في توليد الكهرباء أيضا لماذا لا يستخدم هذا
+
+146
+00:13:55,350 --> 00:14:03,170
+الفحم في سهر الحديد والصلبة؟ لأنه أيضا نسبة
+
+147
+00:14:03,170 --> 00:14:09,250
+الكربون في القليلة تصل بين 45 إلى 65 في المياهأيضا
+
+148
+00:14:09,250 --> 00:14:13,050
+إنه بيستهلك محليا و لا يدخل في التجارة العالمية أي
+
+149
+00:14:13,050 --> 00:14:18,110
+إشي منه و يسهم ب 25% من الإنتاج في العالم أيضا
+
+150
+00:14:18,110 --> 00:14:23,090
+الفحم النباتي هو أردؤها لإنه يستخرج من احتراق
+
+151
+00:14:23,090 --> 00:14:27,990
+الخشب حتى إنه بيستخرج محليا يعني إحنا في البيت
+
+152
+00:14:27,990 --> 00:14:34,210
+نولع نار بالعمية راح أحكيها فبالتالي إنه .. ألمعت
+
+153
+00:14:34,210 --> 00:14:40,070
+الحياةفبالتالي انه بينتج فحم من هذا الخشب عندنا ..
+
+154
+00:14:40,070 --> 00:14:43,130
+عند .. احنا ولا ما نولع هذا الخشب، يعني احنا
+
+155
+00:14:43,130 --> 00:14:44,150
+بننتجه محليا
+
+156
+00:14:47,200 --> 00:14:52,580
+في الوقع أن الفحم كان وما زال المصدر الرئيسي
+
+157
+00:14:52,580 --> 00:14:56,200
+للطاقة ويعود ذلك إلى عدة أسباب فابدي ياكم أن كنتوا
+
+158
+00:14:56,200 --> 00:15:01,360
+تشاركوا معايا عشان نعمل تفاعل بين الحاجة طيب أول
+
+159
+00:15:01,360 --> 00:15:04,080
+سبب يا جمال يا أسماعي ..
+
+160
+00:15:10,190 --> 00:15:14,350
+صحيح استنزاف موارد الغابات في كثير من الدول
+
+161
+00:15:14,350 --> 00:15:18,090
+المنتجة لهم وما ترتب على ذلك ندرة استخدام الوقود
+
+162
+00:15:18,090 --> 00:15:24,510
+النباتي بمعنى ان الدول المنتجة لهذا الفحم استنزفت
+
+163
+00:15:24,510 --> 00:15:29,350
+موارد الغابات اي من قطع الأخشاب واستخدمها في صناعة
+
+164
+00:15:29,350 --> 00:15:34,130
+الأثافر وغيرها من الصناعات وبالتالي ان استخدمت هذا
+
+165
+00:15:34,130 --> 00:15:38,840
+الوقودأدى إلى نضرة استخدام الوقود النباتى وبالتالي
+
+166
+00:15:38,840 --> 00:15:43,980
+انه استخدمت الفحر أيضا تانى يا اسلام
+
+167
+00:15:47,310 --> 00:15:52,550
+صحيح إنه الفحم في نجاح صناعة .. أدى الفحم نجاح
+
+168
+00:15:52,550 --> 00:15:56,670
+استخدامه في صناعة الطوب أكثر من الأخشاب و هذا أدى
+
+169
+00:15:56,670 --> 00:16:01,090
+أيضا إلى اللي بت .. يعني هذه بيدل إنه الفحم
+
+170
+00:16:01,090 --> 00:16:04,590
+النباتي المحلي إنه هنا قليل استخدام إن في
+
+171
+00:16:04,590 --> 00:16:07,750
+استنزافية موارد الغابات و إن الفحم في صناعة الطوب
+
+172
+00:16:07,750 --> 00:16:24,220
+أكثر نجاح من الأخشاب أيضا عامل تالتيا نجلة اكتشف
+
+173
+00:16:24,220 --> 00:16:29,220
+عمل طريقة فحم الكوك في القرن السابع عشر زي فحم
+
+174
+00:16:29,220 --> 00:16:32,240
+البيوت يومين مش احنا حاكينا تو من أنواع الفحم ان
+
+175
+00:16:32,240 --> 00:16:35,740
+فحم البيوت يومين انه يستخدم في صناعة الكوك اللازم
+
+176
+00:16:35,740 --> 00:16:40,240
+لصحر الحديد لصناعة الحديد و الصلب ايضا اختراع
+
+177
+00:16:40,240 --> 00:16:42,560
+القالة البخارية في سنة الفتس ست عمانية
+
+178
+00:16:45,900 --> 00:16:52,300
+أيضا اختراع الآلة البخارية في سنة 1769 ميلادي أيضا
+
+179
+00:16:52,300 --> 00:16:56,680
+اعتمادها الكل على الفحم الأمر الذي أحدث ثورة
+
+180
+00:16:56,680 --> 00:16:59,940
+صناعية في العالم طبعا احنا الآلة البخارية عندما
+
+181
+00:16:59,940 --> 00:17:05,540
+اختراعوها في عام 1769 ميلادي اعتمدت اعتماد كل على
+
+182
+00:17:05,540 --> 00:17:11,560
+الفحم أيضا إمكانية نقل الفحم برا وبحرا حيث مناطق
+
+183
+00:17:11,560 --> 00:17:18,930
+الاستخدامأيضا التوزيع الجغرافي لإنتاج الفحم بلغ
+
+184
+00:17:18,930 --> 00:17:25,650
+إنتاج العالم منه أكثر من 4500 مليون تن سنويا يعود
+
+185
+00:17:25,650 --> 00:17:29,810
+ذلك إلى ارتفاع أسعار النفط عالميا الأمر الذي حذف
+
+186
+00:17:29,810 --> 00:17:33,790
+بالدول المنتجة له زيادة اعتمادها على هذا الفحم
+
+187
+00:17:33,790 --> 00:17:41,070
+وذلك بسبب أن النفط أسعارهمرتفعة أيضا نصف الكورة
+
+188
+00:17:41,070 --> 00:17:45,190
+الشمالي يساهم بحوالي 90% و نصف الكورة الجنوبي
+
+189
+00:17:45,190 --> 00:17:50,110
+يساهم بحوالي 10% و ذلك بسبب أن نصف الكورة الشمالي
+
+190
+00:17:50,110 --> 00:17:54,910
+معظم سخوره رسوبية أما نصف الكورة الجنوبي يعني
+
+191
+00:17:54,910 --> 00:17:59,170
+يساهم بس ب10% لإن معظم سخور نصف الكورة الجنوبي
+
+192
+00:17:59,170 --> 00:18:05,740
+رسوبيةبالورية .. نارية بالورية وبالتالي انه ال ..
+
+193
+00:18:05,740 --> 00:18:09,440
+قليل منه ال 10% بس في نصف الكورة الجنوبى توجد في
+
+194
+00:18:09,440 --> 00:18:16,020
+المناطق الرسوبية و هي قليلة في جيوب الرسوبية أيضا
+
+195
+00:18:16,020 --> 00:18:20,340
+قارة أسيا .. نصف الكورة الشمالى .. قارة أسيا 40%
+
+196
+00:18:20,340 --> 00:18:23,980
+من إنتاج العالمي من الفحم الصين تحتل المرتبة
+
+197
+00:18:23,980 --> 00:18:28,500
+الأولى في إنتاجها 30% أيضا الهند المرتبة الثانية
+
+198
+00:18:28,500 --> 00:18:34,480
+كذاخستان أيضابولندا تتصدر الدول الأوروبية 42% من
+
+199
+00:18:34,480 --> 00:18:38,240
+إنتاج القارة ايضا بدون اتحاد السوفيتي والمملكة
+
+200
+00:18:38,240 --> 00:18:43,100
+المتحدة وجمهورية الشيك والاقينوسية أنتجت 5%
+
+201
+00:18:43,100 --> 00:18:47,680
+وافريقيا 4.5% واخيرا أمريكا الجنوبية 1% وعرفنا ان
+
+202
+00:18:47,680 --> 00:18:52,910
+الناس في الكورة الجنوب سخوره نارية باللورياأيضا
+
+203
+00:18:52,910 --> 00:18:57,270
+تجارة الفحم الدولية لا يدخل في التجارة الدولية من
+
+204
+00:18:57,270 --> 00:19:01,810
+الفحم إلا قليل، نسبة ضئيلة منه، بتتروح ما بين 5
+
+205
+00:19:01,810 --> 00:19:07,010
+إلى 7% من جملة الإنتاج العالمي، العالمي وذلك يعود
+
+206
+00:19:07,010 --> 00:19:10,710
+إلى أن مناطق إنتاج الفحم هي بالقرب من المناطق
+
+207
+00:19:10,710 --> 00:19:15,570
+الصناعية وخاصة أن الحديد يتم نقله إلى مناطق
+
+208
+00:19:15,570 --> 00:19:17,090
+الصناعية وليس الفحم
+
+209
+00:19:30,360 --> 00:19:33,160
+الفحم بيتجمد
+
+210
+00:19:46,830 --> 00:19:51,370
+أيضا .. الله يسامحتي أسمع .. أنا خبطتي لما وصلت ..
+
+211
+00:19:51,370 --> 00:19:59,410
+طب خلاص .. خلاص يا أسمع .. تفضل يعني بصراحة هتكون
+
+212
+00:19:59,410 --> 00:20:07,940
+مدرسة ناجحة و يمكن هذا ساعدها بأن تكون ..من
+
+213
+00:20:07,940 --> 00:20:11,720
+الأوائل اللي يتم اختيارهم في التدريس عند المقابلات
+
+214
+00:20:11,720 --> 00:20:17,020
+يكفي ان تاخد لهم البرنامج اللي زي هذا و تقولهم انا
+
+215
+00:20:17,020 --> 00:20:22,160
+كنت اشرح في الجامعة بهذا الشكل او يعني و هذا احنا
+
+216
+00:20:22,160 --> 00:20:27,800
+بنحفظ من بداية المحاضرات بناتنا الطالبات تحفظوا و
+
+217
+00:20:27,800 --> 00:20:30,740
+تنشطوا من
+
+218
+00:20:32,580 --> 00:20:38,720
+أهم رسالة للجامعة بناء القيادات بناء القيادات احنا
+
+219
+00:20:38,720 --> 00:20:46,680
+مش عايزين دايما نتكولس و نتقوقع و بس مستقبلي فقط
+
+220
+00:20:46,680 --> 00:20:52,460
+لأ دايما بنناشد دايما بنطلب التفاعل في المحاضرة
+
+221
+00:20:52,460 --> 00:20:58,370
+الذي يدير المحاضرة الطالب و ليس المدرسفهمتوا؟
+
+222
+00:20:58,370 --> 00:21:04,450
+اعتمدوا الجامعة مقبل على التصوير الإلكتروني لجميع
+
+223
+00:21:04,450 --> 00:21:08,510
+المحاضرات ان شاء الله فيعني اليوم إذا كانت بنتبنا
+
+224
+00:21:08,510 --> 00:21:13,090
+شوية من الخجل وهذا جميل جدا لكن في المستقبل بدنا
+
+225
+00:21:13,090 --> 00:21:17,910
+نتجرأ و نقف في المواقف التعليمية هذه إيش انت يا
+
+226
+00:21:17,910 --> 00:21:24,770
+أستاذ أسماء حكيتني؟
+
+227
+00:21:32,720 --> 00:21:39,580
+هو اولا اكتشف الفحم قبل البترول هو
+
+228
+00:21:39,580 --> 00:21:46,380
+بنفعش كبديل او لم ينجح كبديل كوني انا اعتمد على
+
+229
+00:21:46,380 --> 00:21:53,240
+البدائل معناه هذا انه الاصل فشل في سد الغرض او سد
+
+230
+00:21:53,240 --> 00:21:57,940
+الاحتياجات صح لما نشوف عندنا المشاكل المترتبة على
+
+231
+00:21:57,940 --> 00:22:05,420
+الفحمومميزات النفط بتقولي لو الله اروح عن نفط روح
+
+232
+00:22:05,420 --> 00:22:12,520
+عن نفط لكن لما نقلجي أسعار النفط خيالية مية وسبعة
+
+233
+00:22:12,520 --> 00:22:16,020
+واربعين دولار للبرميل والبرميل احنا عارفينه اللي
+
+234
+00:22:16,020 --> 00:22:20,060
+في البيت متين لتر ساعة البرميل يعني مية وسبعة
+
+235
+00:22:20,060 --> 00:22:24,160
+واربعين دولار للبرميل ابو متين لتر الصغير اللي في
+
+236
+00:22:24,160 --> 00:22:24,740
+البيوت
+
+237
+00:22:27,530 --> 00:22:31,730
+ارتفاع دولار واحد للبرميل بالنفط في الصين بيكلفها
+
+238
+00:22:31,730 --> 00:22:38,970
+عشرة مليون دولار نقيس البترول في أغسطس ألف
+
+239
+00:22:38,970 --> 00:22:43,230
+وتسعمائة وتسعين إبان احتلال العراق للكويت كان
+
+240
+00:22:43,230 --> 00:22:49,850
+بتنين دولار بسعر الإنتاج لما يرتفع في الفترة
+
+241
+00:22:49,850 --> 00:22:53,670
+الأخيرة إلى مية وسبعة وربعين معناه كام مرة تضاعف
+
+242
+00:22:53,670 --> 00:22:59,570
+يعني أكتر من سبعين مرةمع نهاية النفقات الزيادة
+
+243
+00:22:59,570 --> 00:23:06,710
+والدول الصناعية هي دول منتجة للفحم فإذ ما أدفع
+
+244
+00:23:06,710 --> 00:23:11,110
+نفقات زيادة في النفط ما أرجع للفحم فيتعود إلى
+
+245
+00:23:11,110 --> 00:23:16,590
+الفحم المضطرة لأن الفحم بده استخراج من باطن الأرض
+
+246
+00:23:16,590 --> 00:23:22,830
+واحنا شوفنا ال anthracite هذا اللأنه تكون في الزمن
+
+247
+00:23:22,830 --> 00:23:28,930
+الجيولوجي الأول هو مش في العصر الفحمي هو تكون في
+
+248
+00:23:28,930 --> 00:23:32,750
+العصور قبل الفحمي لأنه اكتشف في الفحمي فسمي العصر
+
+249
+00:23:32,750 --> 00:23:41,610
+الفحمي و لأنه من أعمق مكونات الفحم موجودة مكلف جدا
+
+250
+00:23:42,530 --> 00:23:45,990
+لأن احنا شفنا في الجغرافة الطبيعية ان الارسابات
+
+251
+00:23:45,990 --> 00:23:51,470
+الأحدث غطت الارسابات الأقدم بل جاءت أوسع انتشارا
+
+252
+00:23:51,470 --> 00:23:58,290
+منها فهمتوا؟ طيب عشان هيك هل ينجح لكن انا بعود
+
+253
+00:23:58,290 --> 00:24:03,230
+اليه مضطرا لان انا مابدي ادفع نفقات زيادة وخاصة ان
+
+254
+00:24:03,230 --> 00:24:09,370
+انا بنتجه يعني الصين منتج رئيسي للفحم فليش تدفع
+
+255
+00:24:09,370 --> 00:24:17,210
+147$ للبرميل؟ لأثم تلوثه في البيئة و نقله من مناطق
+
+256
+00:24:17,210 --> 00:24:22,310
+الإنتاج إلى مناطق الاستهلاك، هذا كله بدهنفقات وحنا
+
+257
+00:24:22,310 --> 00:24:27,030
+شوفنا آخر أزمة صارت في حقول الفحم اللي على أعماق
+
+258
+00:24:27,030 --> 00:24:32,590
+تسعمائة متر بالكابسولة يطلعوهم واحد ورا واحد، ولا
+
+259
+00:24:32,590 --> 00:24:38,050
+مش صحيح؟ فهذه مشكلة، أما النفق فسهل الاستخراج، سهل
+
+260
+00:24:38,050 --> 00:24:42,210
+النقل، متعدد الأغراض إلى آخر، فهمتم؟
+
+261
+00:24:45,000 --> 00:24:49,580
+أزملتكم قالت إن يستخدم الفحم في صناعة الطوب، مين
+
+262
+00:24:49,580 --> 00:24:55,740
+بتفسرلي كيف؟ بدلا من الخشب، كيف يستخدم الفحم في
+
+263
+00:24:55,740 --> 00:24:58,020
+صناعة الطوب؟
+
+264
+00:24:59,880 --> 00:25:04,660
+كيف استخدم الخشب يعني انتوا بتعرفوا كيف عملية
+
+265
+00:25:04,660 --> 00:25:10,820
+التفحم بتصير عندنا في غزة ان انا بجيب الخشب بعد
+
+266
+00:25:10,820 --> 00:25:18,480
+القص و تقطيعه و بعدين بحط بينه قطع خشبية ثم اردمه
+
+267
+00:25:18,480 --> 00:25:25,520
+بطينة حتى امنع التنفس و بولع الخشب بزيت الخروسين
+
+268
+00:25:25,520 --> 00:25:29,700
+او الجاز بيحس ان يكون عملية التفاحهم بطيئة جدا
+
+269
+00:25:29,700 --> 00:25:34,700
+مايديش احتراق بسرعة لكن انت بحط قطع خشبية ستة بحط
+
+270
+00:25:34,700 --> 00:25:41,380
+فحم و في اي طوب اللبني هذا اللي بيصنعوه من دلتا
+
+271
+00:25:41,380 --> 00:25:44,320
+الأنهار زي ما بتشوفه هنا في تليفزيون مصر الحجار
+
+272
+00:25:44,320 --> 00:25:52,110
+الصغيرة هذه ماشي هيكد بيصنع منه في صناعة الطوبأنا
+
+273
+00:25:52,110 --> 00:25:56,350
+بلاحظ أن ما يدخل في التجارة العالمية من كل الموارد
+
+274
+00:25:56,350 --> 00:26:01,470
+الاقتصادية هي نسبة قليلة يعني لما ندرس الموارد
+
+275
+00:26:01,470 --> 00:26:04,610
+الاقتصادية وما يدخل في التجارة العالمية كله بلاقي
+
+276
+00:26:04,610 --> 00:26:09,710
+نسبة قليلة جدا، مين بقول ليه؟ لو جاني سؤال بانا
+
+277
+00:26:09,710 --> 00:26:15,230
+نفسر ما يدخل في التجارة العالمية من الموارد
+
+278
+00:26:15,230 --> 00:26:21,780
+الاقتصادية هي نسبة قليلةباستثناء سلعة واحدة
+
+279
+00:26:21,780 --> 00:26:26,740
+درسناها أولا شئ ليش هو نسبة قليلة اتنين ما هي
+
+280
+00:26:26,740 --> 00:26:30,520
+السلعة التي تدخل بكميات مهولة إلى التجارة العالمية
+
+281
+00:26:30,520 --> 00:26:38,260
+لأ خلينا نجاوب الأول لأن
+
+282
+00:26:38,260 --> 00:26:43,100
+غالبية الموارد الاقتصادية مالها تسهلك محليا تسهلك
+
+283
+00:26:43,100 --> 00:26:49,260
+محليا أما السلعة التي تدخل بقوة إلىالاسواق
+
+284
+00:26:49,260 --> 00:26:57,740
+العالمية إيش ال bond هي ال bond ولا لا طيب الفحم
+
+285
+00:26:57,740 --> 00:27:02,120
+في الوطن العربي استهلاكه قليل ليش لأنه ماعندوش
+
+286
+00:27:02,120 --> 00:27:09,820
+تصنيع ماعندوش تصنيع لأنه شوفنا غالبية الفحم في
+
+287
+00:27:09,820 --> 00:27:14,570
+العالم وين يروحالى التصنيع الى ايش؟ التصنيع
+
+288
+00:27:14,570 --> 00:27:19,050
+المستقبل الاقتصادي للفحم بالفعل له مستقبل اقتصادي
+
+289
+00:27:19,050 --> 00:27:25,430
+وخاصة ان مدة استنزافه من الأرض طويلة جدا اكتر من
+
+290
+00:27:25,430 --> 00:27:30,930
+200 عاموبالتالي المستقبل إلى الفحم انا قلتلكم
+
+291
+00:27:30,930 --> 00:27:34,590
+سابقا ما يخلق امريكا اليوم ما يخلق العالم اليوم هو
+
+292
+00:27:34,590 --> 00:27:39,410
+ماذا بعد النفق ولا سيما ان معظم التكنولوجيا اللتي
+
+293
+00:27:39,410 --> 00:27:44,150
+حدثت في النصف الثاني من قرن التاسع العشرين اعتمدت
+
+294
+00:27:44,150 --> 00:27:49,030
+عليش البترول طب هو نفس المشكلة الفحم ماهو المشكلة
+
+295
+00:27:49,030 --> 00:27:53,470
+دلوقتي والله 200 سنة انت عارف ال 200 سنة جاعد كل
+
+296
+00:27:53,470 --> 00:28:02,670
+يوم يتم تطوير في العالميساوي ما طور قبل ذلك زاد
+
+297
+00:28:02,670 --> 00:28:08,770
+ان في مخزون كبير ارتفاع أسعار البترول بشكل جنوني
+
+298
+00:28:08,770 --> 00:28:15,270
+حول الى ايش الفحم مشاكل الفحم زي ما انتوا عارفين
+
+299
+00:28:15,270 --> 00:28:21,790
+الحجم لا ينسجم لأن حجمه كبير وبعدين اي فحم فورا
+
+300
+00:28:21,790 --> 00:28:31,110
+يباد الى رماد اتنين نقله صعبملوث للبيئة استخراجه و
+
+301
+00:28:31,110 --> 00:28:36,790
+خاصة إذا كانت من مناطق بعيدة جدا احتراف ملوث
+
+302
+00:28:36,790 --> 00:28:43,630
+للبيئة وهذه طبعا مشكلة و اليوم العالم ضد التلوث
+
+303
+00:28:43,630 --> 00:28:52,590
+البيئي فهمته؟ طب نشوف ناخد النفط ناخد النفطأيضا
+
+304
+00:28:52,590 --> 00:28:58,690
+عرف منذ القدم، منذ إيش؟ استخدمه البابليون، استخدمه
+
+305
+00:28:58,690 --> 00:29:04,870
+إيش البابليون؟ وين هدول البابليون؟ في العراق، من
+
+306
+00:29:04,870 --> 00:29:10,790
+أشهر ملوك بابل، من هو أشهر ملوك بابل؟
+
+307
+00:29:14,920 --> 00:29:20,500
+برافو عليك لأنك درست في العالم الإسلامي حمورابي
+
+308
+00:29:20,500 --> 00:29:25,140
+أشهر ملوك بابل مين؟ حمورابي أعتقد أنه أنت مدام
+
+309
+00:29:25,140 --> 00:29:29,820
+أخدت المعلومة ضالك سكتة لأن كنت بدأ أطرح علامات و
+
+310
+00:29:29,820 --> 00:29:36,560
+درجتين للي بدت تعرف حمورابي بكرا أنتوا هتقابلوا
+
+311
+00:29:36,560 --> 00:29:42,740
+للتعليم في مصر في حصر اسمه حصر Babylonفي حصن
+
+312
+00:29:42,740 --> 00:29:50,760
+بابيلون في المقابلات التدريس بيسأله بيقوله للمتقدم
+
+313
+00:29:50,760 --> 00:29:57,840
+هناك حصن بابيلون في مصر فبروح هو المتقدم اللي هو
+
+314
+00:29:57,840 --> 00:30:02,080
+معاه خريجة شهادة بيقول لأ مش بابيلون هو نابليون
+
+315
+00:30:02,080 --> 00:30:09,970
+نابليون لكن هو لأفي فترة من فترات التاريخ حكمت
+
+316
+00:30:09,970 --> 00:30:15,470
+دولة بابل مصر، عشان ايه في الفتح الإسلامي بنلاقي
+
+317
+00:30:15,470 --> 00:30:20,170
+تعيي فتح مصر في حصن بابليون عليها عمرو بن العاصر،
+
+318
+00:30:20,170 --> 00:30:23,750
+فهمتوا؟ لازم تكونوا عندكم معلومة هذه
+
+319
+00:30:27,270 --> 00:30:31,830
+هم حتى ما هي الجغرافيا و التاريخ واحد اليوم اللي
+
+320
+00:30:31,830 --> 00:30:35,690
+انتبه هو ماعادش اليوم تقولي أنا تاريخ و أنا
+
+321
+00:30:35,690 --> 00:30:43,570
+جغرافيا مش عارفاش الانسان وعال المعرفة الانسان
+
+322
+00:30:43,570 --> 00:30:50,270
+ايش؟ وعال المعرفة طيبأيضًا من مصادر الطاقة، نشأته
+
+323
+00:30:50,270 --> 00:30:54,510
+ما اختلفناش في نشأته طول عمرنا نعرف هو بقايا
+
+324
+00:30:54,510 --> 00:31:01,730
+نباتية و حيوانية عبر عصور تحللات إلى سائل يسمى
+
+325
+00:31:01,730 --> 00:31:10,150
+البترول استخدامته طبعًا من من في البيت مش عنده
+
+326
+00:31:10,150 --> 00:31:15,940
+بترول، اتنينمهم لتوليد الطاقة الكهربية، هناك كثير
+
+327
+00:31:15,940 --> 00:31:20,920
+من الدول و خاصة العربية منها تعتمد على البترول في
+
+328
+00:31:20,920 --> 00:31:26,160
+توليد الطاقة و خاصة إذا كانت أيضا منتجة للنفط في
+
+329
+00:31:26,160 --> 00:31:32,740
+المواصلات، كافة المواصلات اليوم لازالت تعتمد على
+
+330
+00:31:32,740 --> 00:31:39,690
+البترولفيها كثير من المشتقات كثير من المشتقات سلاح
+
+331
+00:31:39,690 --> 00:31:42,790
+استراتيجي وقت الحرب يعني احنا شفنا الملك فيصل
+
+332
+00:31:42,790 --> 00:31:46,870
+الملك العربية السعودية رحمه الله عليه عندما منع
+
+333
+00:31:46,870 --> 00:31:53,330
+البترول عن الدول المعادلة للقضايا العربية ففورا
+
+334
+00:31:53,330 --> 00:31:58,650
+تحولت كثير من الدول إلى مناصرة القضايا فارتفع سعر
+
+335
+00:31:58,650 --> 00:32:04,830
+البترول اقصر تفاع لو في فترةالسبعينيات وأوائل
+
+336
+00:32:04,830 --> 00:32:09,330
+الثمانينيات إلى ما يقارب تلاتة واربعين دولار
+
+337
+00:32:09,330 --> 00:32:14,250
+للبرميل وكان ارتفاعا خياليا ايضا في ذلك الفترة
+
+338
+00:32:14,250 --> 00:32:20,830
+تطور التكنولوجيا ساعد على انه اما استنزف أبار
+
+339
+00:32:20,830 --> 00:32:27,910
+البترول تماما او اكتشف مناطق جديدة من البترول
+
+340
+00:32:32,260 --> 00:32:46,020
+أهم شركات أو منظمات هي منظمة ال OPEC من يقرأ ليها
+
+341
+00:32:46,020 --> 00:32:50,360
+منكم؟ هي موجودة Organization of Petroleum
+
+342
+00:32:50,360 --> 00:32:55,100
+Exporting Countries
+
+343
+00:33:00,060 --> 00:33:07,780
+للبترول انشأت عام 1960 توجد وكالة الطاقة الدولية
+
+344
+00:33:07,780 --> 00:33:13,560
+انشأت عام 1977 لتنظيم إنتاج واسهلاك البترول مراكز
+
+345
+00:33:13,560 --> 00:33:17,920
+إنتاج البترول في العالم أهم مركز الشرق الأوسط
+
+346
+00:33:17,920 --> 00:33:24,720
+والشرق الأوسط تقولنا حدوده إيران شرقا ماشي لغاية
+
+347
+00:33:24,720 --> 00:33:32,030
+شرق ليبيا يعني ليبياوشمال السودان وتركيا هذه
+
+348
+00:33:32,030 --> 00:33:36,830
+المنطقة يطلق عليه اسم الشرق إلى وسط يعني شبه
+
+349
+00:33:36,830 --> 00:33:42,110
+الجزيرة العربية كلها مصر شمال السودان شرق ليبيا
+
+350
+00:33:42,110 --> 00:33:49,350
+إيران تركيا فهمتوا؟ تليها
+
+351
+00:33:49,350 --> 00:33:56,380
+الكتلة الشعيعيةالسابقات 23%، أمريكا الشمالية 18%،
+
+352
+00:33:56,380 --> 00:34:02,000
+أفريقيا 9%، اوروبا 2.7%، طبعا إنتاج أوروبا فقط
+
+353
+00:34:02,000 --> 00:34:05,640
+قليل جدا هي في منطقة بريطانيا التي نطلق عليها بحر
+
+354
+00:34:05,640 --> 00:34:11,160
+الشمال، بحر الشمال، عشان هيك بنلاقي أوروبا من أكتر
+
+355
+00:34:11,160 --> 00:34:17,340
+قارات العالم السلاء لأنه فقيرة جدافي البترول طبعا
+
+356
+00:34:17,340 --> 00:34:25,160
+عن انطق الدول السعودية و الكيويت وروسيا وفنزويلا
+
+357
+00:34:25,160 --> 00:34:30,700
+وولايات المتحدة الأمريكية ومكسيك ونرويج وبريطانيا
+
+358
+00:34:30,700 --> 00:34:38,580
+هذه كلها دول منتجة انتاج البترول في العالم انتاج
+
+359
+00:34:38,580 --> 00:34:45,760
+النفط في العالم عندي أرقام كتيرة لأن كل يومبيتطور
+
+360
+00:34:45,760 --> 00:34:52,160
+الإنتاج يعني على حسب الأسعار وعلى حسب الاستهلال
+
+361
+00:34:52,160 --> 00:34:55,420
+يعني لما نشوف يرتفع الأسعار في العالم على طول
+
+362
+00:34:55,420 --> 00:35:02,420
+العالم بيتوقف عن استخدام النفط يحول على إيش الفحم
+
+363
+00:35:02,420 --> 00:35:07,400
+كبديل وخاصة كمان إذا ييجي عند الغاز احتياطي وفير
+
+364
+00:35:07,400 --> 00:35:10,900
+في العالم هي عند الجدول بقول لي
+
+365
+00:35:13,790 --> 00:35:17,690
+الدول المنتجة والدول قدشفي عندها احتياط نشوف في
+
+366
+00:35:17,690 --> 00:35:23,850
+النهاية ايش في عندنا المصدر
+
+367
+00:35:23,850 --> 00:35:29,250
+طبعا احمد علي هارون اللي حاب تروح لاقي الجدول في
+
+368
+00:35:29,250 --> 00:35:34,150
+التجارة الدولية للبترول تتركز في الدول المستهلكة
+
+369
+00:35:34,150 --> 00:35:40,920
+للبترولتتركز في الدول المستهلكة للبترول طب شفنا ان
+
+370
+00:35:40,920 --> 00:35:45,860
+البلاد المتحدة من الدول الأوائل المنتجة للبترول
+
+371
+00:35:45,860 --> 00:35:51,440
+وهي أيضا من أوائل الدول المستهلكة للبترول مين
+
+372
+00:35:51,440 --> 00:35:59,860
+يفسرني هذه الظاهرة؟ كبر مساحات التشويه؟ فضل
+
+373
+00:36:17,860 --> 00:36:26,480
+هم علمونا قالونا هي فعلا منتجةالأولى في العالم لكن
+
+374
+00:36:26,480 --> 00:36:32,000
+تستورد الأولى في العالم لأن المخزون ال استراتيجي
+
+375
+00:36:32,000 --> 00:36:36,640
+اللى عندها بيظل زي ما هو لإن هى بتحسب ماذا بعد
+
+376
+00:36:36,640 --> 00:36:44,380
+النفط بتخلصه من العالم كله و بيظل عندها هذا
+
+377
+00:36:44,380 --> 00:36:49,100
+بيساعدها على إيش؟ أو بيساعدها في إيش؟ إن هى عندها
+
+378
+00:36:49,100 --> 00:36:54,680
+قوة شرائيةقوة اقتصادية كبيرة تستطيع الان شراء
+
+379
+00:36:54,680 --> 00:36:58,500
+النفب وعدم الاعتماد على المخزون ال استراتيجي تبعها
+
+380
+00:36:58,500 --> 00:37:05,520
+الى ان ينكشف حال البترول في المستقبل المنظور و لا
+
+381
+00:37:05,520 --> 00:37:11,600
+لا مدام عندنا اليوم قدرة شرائية بنشتري و بكرا
+
+382
+00:37:11,600 --> 00:37:16,360
+هنعتمد بعد ما يبدأ يجف البترول او يستنزف من
+
+383
+00:37:16,360 --> 00:37:20,860
+الأباري في العالم نرجع الى الاعتماد على
+
+384
+00:37:26,870 --> 00:37:31,250
+والله مابتقدرش تقول لو الناس عندهم بقالة
+
+385
+00:37:31,250 --> 00:37:38,230
+استراتيجية انه كلامكوا غلط خاصة هدولة يعني اليوم
+
+386
+00:37:38,230 --> 00:37:42,450
+القطب الأوحد في العالم ماشي بنقف لعند الغاز
+
+387
+00:37:42,450 --> 00:37:51,630
+الطبيعي وبنوزع الامتحان وبنقول على الملأ مش هاعلن
+
+388
+00:37:51,630 --> 00:37:56,930
+الدرجةمش .. اه .. نشوف لوين هيوصلنا ال .. هذه كلها
+
+389
+00:37:56,930 --> 00:38:05,110
+إضافات تضيفة ال .. السنة هذه على الاقتصادية يعني
+
+390
+00:38:05,110 --> 00:38:10,590
+هو كان المعادن آخر حاجة في السنوات السابقة نوزع مش
+
+391
+00:38:10,590 --> 00:38:18,670
+أننا نعني الدرجات، لأ أنا بقول احتخذ الورقاء و
+
+392
+00:38:18,670 --> 00:38:23,810
+اللي تحب يتراجعبنراجع اما في المكتب او المحاضرة
+
+393
+00:38:23,810 --> 00:38:31,590
+اللى جاية بشرط اللى تضيع على الطالب بأي درجة ماشي
+
+394
+00:38:31,590 --> 00:38:38,070
+نحن مع إعطاء كل ذي حق و الدرجات هنا اجتهادية فقط
+
+395
+00:38:38,070 --> 00:38:45,120
+لعلمكماجتهادية يعني بمعنى ان انا اجتهدت هذه
+
+396
+00:38:45,120 --> 00:38:49,880
+الإجابة السليمة فوضعت الدرجة التقديرية لو حطينا
+
+397
+00:38:49,880 --> 00:38:57,120
+مصحح اخر قد يجتهد اجتهاد اخر و قد يضع درجة اخرى
+
+398
+00:38:57,120 --> 00:39:02,160
+بمعنى عشان هيكفت السنوية العامة بصححوا تلاتة سؤال
+
+399
+00:39:02,160 --> 00:39:08,910
+بصححوا السؤال تلاتةكل واحد من منظره رغم انه في
+
+400
+00:39:08,910 --> 00:39:15,130
+عنده إجابة نموذجية محكمة أو للجميع ملزمة للجميع في
+
+401
+00:39:15,130 --> 00:39:18,410
+الآخر بيجمعوا التلت درجات التقريبية وبيختاروا
+
+402
+00:39:18,410 --> 00:39:23,770
+الدرجة الواحدة فهمتوا؟ طيب إسلام النمنم not here
+
+403
+00:39:23,770 --> 00:39:34,410
+مين ياخد إلها؟ ماحدش دينها قزعات دنيا و دينها فضل
+
+404
+00:39:34,410 --> 00:39:35,010
+يا دينها
+
+405
+00:39:38,070 --> 00:39:45,270
+إسلام حمدان فضل يا إسلام مش هقولها ممتازة ولا غير
+
+406
+00:39:45,270 --> 00:39:54,230
+ممتازة نور أورابي إسلام
+
+407
+00:39:54,230 --> 00:40:02,410
+جندية سمح
+
+408
+00:40:02,410 --> 00:40:03,750
+شمالخ
+
+409
+00:40:11,320 --> 00:40:20,200
+إسلام الفيومي إيمان
+
+410
+00:40:20,200 --> 00:40:29,860
+تاية أسماء
+
+411
+00:40:29,860 --> 00:40:30,560
+الدبس
+
+412
+00:40:41,680 --> 00:40:48,900
+ريم بدوية ريم
+
+413
+00:40:48,900 --> 00:40:56,680
+بدوية اتفضل يا ريم فداء الهيسم او نداء نداء ولا
+
+414
+00:40:56,680 --> 00:41:07,080
+فداء not here نجوى
+
+415
+00:41:07,080 --> 00:41:07,920
+جابر
+
+416
+00:41:16,120 --> 00:41:28,140
+فتحية أبو .. آه برايو فتحية أبو برايو سمية و لا
+
+417
+00:41:28,140 --> 00:41:39,820
+فتحية يا الله يا سمية سماح أبو شمالة روان
+
+418
+00:41:39,820 --> 00:41:40,420
+لولو
+
+419
+00:41:53,430 --> 00:42:01,050
+انتصار الحرثاني نجلاق
+
+420
+00:42:01,050 --> 00:42:08,030
+الصفة دي الهاملون
+
+421
+00:42:08,030 --> 00:42:14,510
+بيت سمية
+
+422
+00:42:14,510 --> 00:42:19,670
+كحيل صفاء
+
+423
+00:42:19,670 --> 00:42:20,410
+أواسد
+
+424
+00:42:35,370 --> 00:42:45,490
+فايزة شرفة انا انا انت؟ لا اه اه انا انا انا انا
+
+425
+00:42:45,490 --> 00:42:46,070
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+426
+00:42:46,070 --> 00:42:46,070
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+427
+00:42:46,070 --> 00:42:46,410
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+428
+00:42:46,410 --> 00:42:46,410
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+429
+00:42:46,410 --> 00:42:46,410
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+430
+00:42:46,410 --> 00:42:46,410
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+431
+00:42:46,410 --> 00:42:46,410
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+432
+00:42:46,410 --> 00:42:52,430
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+433
+00:42:52,430 --> 00:43:01,650
+انا انا
+
+434
+00:43:01,650 --> 00:43:01,650
+ا
+
+435
+00:43:05,590 --> 00:43:13,070
+انتبهوا شويه عشان احنا ما نقاش في الخطأ انا جيبلكم
+
+436
+00:43:13,070 --> 00:43:18,430
+سؤالين بماذا تفسر الامتحان النهائي اكتر من عشرين
+
+437
+00:43:18,430 --> 00:43:27,130
+سؤال بماذا تفسر عشرين سؤال بماذا تفسر لأن هذا
+
+438
+00:43:27,130 --> 00:43:34,390
+السؤال يعتمد على الفهم يقيس الفهم
+
+439
+00:43:36,970 --> 00:43:43,610
+لما نيجي نقول ارتفاع نسبة البطالة في فلسطين انتوا
+
+440
+00:43:43,610 --> 00:43:51,370
+ناسين تقولوا الارتفاع الفئة العمرية ما قبل 15 الى
+
+441
+00:43:51,370 --> 00:43:56,550
+64 ارتفاع
+
+442
+00:43:56,550 --> 00:44:03,570
+الفئة العمرية ما قبل ما قبل اقل من 15، هاي المقصود
+
+443
+00:44:03,570 --> 00:44:07,860
+السؤالأنا هتطليكم مربّى عليها، أنا فاهم إن أنتوا
+
+444
+00:44:07,860 --> 00:44:14,160
+عارفين، هتطليكم مربّى عليها ارتفاع البطالة لارتفاع
+
+445
+00:44:14,160 --> 00:44:21,200
+فئة المعالج اللي هي من صفر إلى خمستاش، من صفر إلى
+
+446
+00:44:21,200 --> 00:44:24,400
+خمستاش، لأن القانون العالمي بيقول لممنوع تسغيل
+
+447
+00:44:24,400 --> 00:44:31,280
+الطفولةفعندي انا ارتفاع الفئة العمرية اللي قبل 15
+
+448
+00:44:31,280 --> 00:44:41,940
+زائد نسبة من هم في كبار السن اللي
+
+449
+00:44:41,940 --> 00:44:46,300
+كاتبين من 15 ل 64 ارتفاع الفئة العمرية هذا الإجابة
+
+450
+00:44:46,300 --> 00:44:52,080
+غلطأنا عارف ارتفاع الفئة الأمريكية انا هتطلع لكم
+
+451
+00:44:52,080 --> 00:44:56,100
+مربع عارفين ان انتوا .. يعني في هذه صار عندكم لبكة
+
+452
+00:44:56,100 --> 00:45:01,780
+شوية اليوم .. اليوم بقرا في إحصائيات بعد الدول
+
+453
+00:45:01,780 --> 00:45:07,040
+اربع و عشرين في المية من السكان هم فئة عمرية زي
+
+454
+00:45:07,040 --> 00:45:14,660
+الستين صوروا؟ يعني ربع السكان شخوخة
+
+455
+00:45:16,520 --> 00:45:21,540
+ما بعد الستين وهذا مشكلة تواجه الدولة اذا ارتفاع
+
+456
+00:45:21,540 --> 00:45:27,520
+الفئة المعالقة زائد لما شوفنا عملنا الهرم السكاني
+
+457
+00:45:27,520 --> 00:45:34,700
+و 50% من الفئة العمرية القادرة للعمل هم فئة النساء
+
+458
+00:45:34,700 --> 00:45:42,100
+وقدش يعمل فيها هذا المشكلة اما ارتفاع سؤال التالت
+
+459
+00:45:42,100 --> 00:45:47,480
+ارتفاع نسبة الايد العاملة في دولة القيادةبيستقبلوا
+
+460
+00:45:47,480 --> 00:45:52,280
+مهاجرين جاهزين للشغل بيستقبلوا
+
+461
+00:45:52,280 --> 00:46:04,340
+مهاجرين جاهزين للشغل نترككم للمراجعة بتراجعوا ال
+
+462
+00:46:04,340 --> 00:46:07,900
+جامعة
+
+463
+00:46:07,900 --> 00:46:11,320
+غلط بنعيد نجمع
+
+464
+00:46:16,310 --> 00:46:20,630
+ولا واحد من دكاتر الجغرافيا منصف ما احنا قلنا في
+
+465
+00:46:20,630 --> 00:46:27,450
+البداية الدرجة تقديرية معناه تقديرية انه في 5% من
+
+466
+00:46:27,450 --> 00:46:35,230
+احتمال زاد او سالم طب عشان ننهي التصوير ننهي
+
+467
+00:46:35,230 --> 00:46:40,010
+التصوير و السلام عليكم ورحمة الله وبركاته
+
diff --git a/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/LdodXhiIdiw.srt b/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/LdodXhiIdiw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..a679eda8b32bd61bc33c19237295b664c50a08a6
--- /dev/null
+++ b/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/LdodXhiIdiw.srt
@@ -0,0 +1,1999 @@
+1
+00:00:09,780 --> 00:00:14,860
+بسم الله الصلاة والسلام على رسول الله اللهم إننا
+
+2
+00:00:14,860 --> 00:00:22,440
+نسألك الخير الجزيل رب شرح لي صدري ويسر لي أمري و
+
+3
+00:00:22,440 --> 00:00:29,020
+أحلل عقدة من لساني تكملة لما سبق من مواضيع الجغرافي
+
+4
+00:00:29,020 --> 00:00:33,860
+الاقتصادية والعوامل المؤثرة في استغلال الموارد
+
+5
+00:00:33,860 --> 00:00:39,640
+الاقتصادية أخذنا العامل الأول هو الموقع الجغرافي
+
+6
+00:00:39,640 --> 00:00:44,540
+الموقع الجغرافي وقلنا يتحدد قيمة الموقع الجغرافي
+
+7
+00:00:44,540 --> 00:00:48,460
+أو الموارد الاقتصادية بناء على الموقع الجغرافي
+
+8
+00:00:48,460 --> 00:00:53,340
+يتحدد قيمة الموارد الاقتصادية بناء على الموقع
+
+9
+00:00:53,340 --> 00:00:59,300
+الجغرافي وتشعبنا في ذلك كثيرا، العامل الثاني هو
+
+10
+00:00:59,300 --> 00:01:06,980
+توزيع اليابس والماء، وقلنا أن نصف الكورة الشمالي
+
+11
+00:01:06,980 --> 00:01:10,840
+اليابس أكثر من الماء، ونصف الكورة الجنوبي الماء
+
+12
+00:01:10,840 --> 00:01:16,240
+أكثر من اليابس، وهذا أثر على توزيع الموارد
+
+13
+00:01:16,240 --> 00:01:24,220
+واستغلالها، اليوم العامل الثالث هو البنية والتكوين
+
+14
+00:01:24,220 --> 00:01:31,520
+الجيولوجي Structure of the land، ما المقصود بالبنية 
+
+15
+00:01:31,520 --> 00:01:38,480
+الجيولوجية؟ ما المقصود بالبنية الجيولوجية؟ هي
+
+16
+00:01:38,480 --> 00:01:42,060
+الصورة التي ظهرت عليها بناء فوق طبقات الأرض سواء كانت
+
+17
+00:01:42,060 --> 00:01:47,300
+في شكل طبقات متتابعة أو  طبقات  رقائقية أو رقائقية بيصيبها في
+
+18
+00:01:47,300 --> 00:01:51,240
+أيدي صدوع أو بيطلع على  ودع ناقص، وكل ذلك من شأنه
+
+19
+00:01:51,240 --> 00:01:55,700
+أن يؤثر على الدنيا، إذا هي الصورة التي عليها
+
+20
+00:01:55,700 --> 00:02:00,360
+الأرض، البنية هي الصورة التي عليها إيش الأرض؟ احنا
+
+21
+00:02:00,360 --> 00:02:05,900
+قلنا زمان أن في طور التشكيل الأرض
+
+22
+00:02:06,440 --> 00:02:12,380
+تحولت من حالة غازية لحالة سائلة ثم حالة صلبة، ما نتج
+
+23
+00:02:12,380 --> 00:02:18,380
+عن هذا التطور في شكله الحالي هو الذي نطلق عليه
+
+24
+00:02:18,380 --> 00:02:23,850
+اسم البنية الجيولوجية، كيف تكونت هذه البنية
+
+25
+00:02:23,850 --> 00:02:29,490
+الجيولوجية بالشكلها النهائي سواء كان أفقيا أو رأسيا
+
+26
+00:02:29,490 --> 00:02:35,290
+وما حدث فيها من حركات التوائية أو انكسارية، عارفين
+
+27
+00:02:35,290 --> 00:02:44,070
+الشكل الالتوائي هو إيش؟ أو الانكسار خدته؟ خدته في
+
+28
+00:02:44,070 --> 00:02:49,030
+الجغرافيا الطبيعية، يعني في عندي التوائيات متنوعة
+
+29
+00:02:49,030 --> 00:02:57,030
+وانكسارات أيضا متنوعة، طيب ما الفائدة التي تكتسب من
+
+30
+00:02:57,030 --> 00:03:05,590
+الانكسارات؟ ما الفائدة المكتسبة من حدوث الانكسار
+
+31
+00:03:05,590 --> 00:03:13,170
+حدث
+
+32
+00:03:13,170 --> 00:03:18,350
+انكسار في القشرة الأرضية، شو المستفيد من هذا
+
+33
+00:03:18,350 --> 00:03:19,230
+الانكسار؟
+
+34
+00:03:22,100 --> 00:03:26,860
+المعدن الباطني يظهر على سطح الأرض، يعني لما يكون
+
+35
+00:03:26,860 --> 00:03:30,960
+عندي الانكسار الهابط أو الصاعد على سبيل المثال
+
+36
+00:03:30,960 --> 00:03:39,400
+أخذتوا إنكسار الهابط والصاعد يعني مثلا بكون
+
+37
+00:03:39,400 --> 00:03:43,900
+عندي بهذا الشكل السطح الأرض، هذه الطبقات تحت الأرض
+
+38
+00:03:43,900 --> 00:03:50,100
+فبنلاقي إذا كان ساعدا الطبقات الأرض هذه كلها مالها
+
+39
+00:03:50,100 --> 00:03:57,960
+تصعد إلى أعلى وإذا كان حابب أيضا الطبقة الأخرى
+
+40
+00:03:57,960 --> 00:04:02,800
+اللي بتظهر اللي هي إذا كان فيها تركيب معدني
+
+41
+00:04:02,800 --> 00:04:10,860
+كالنفط أو الحديد أو الذهب أو الفحم ماشي طيب إذا
+
+42
+00:04:10,860 --> 00:04:19,990
+البنية الجيولوجية هي الصورة التي عليها الأرض وما
+
+43
+00:04:19,990 --> 00:04:25,010
+يحدث فيها من انكسارات والتواءات كل هذا علشان يؤثر
+
+44
+00:04:25,010 --> 00:04:30,070
+على الإنتاج
+
+45
+00:04:30,070 --> 00:04:34,490
+كل هذا
+
+46
+00:04:34,490 --> 00:04:39,530
+علشان يؤثر على الإنتاج، أما التكوين الجيولوجي فهو
+
+47
+00:04:54,590 --> 00:04:59,570
+مئة بالمئة، التكوين الجيولوجي هي الصورة التي عليها
+
+48
+00:04:59,570 --> 00:05:06,350
+الصخور وأنواعها، كم نوع عندنا في الصخور؟ ثلاث أنواع
+
+49
+00:05:06,350 --> 00:05:11,010
+صخور نارية ومتحولة
+
+50
+00:05:11,010 --> 00:05:17,660
+ورسوبية، يعني أنا برتب الصخور حسب نشأة، حسب نشأة
+
+51
+00:05:17,660 --> 00:05:23,700
+الصخور، النارية هي من أقدم الصخور التي تكونت وت
+
+52
+00:05:23,700 --> 00:05:29,940
+شكلت في سطح الأرض، كيف؟ قلنا لما بدأت تتشكل معالم
+
+53
+00:05:29,940 --> 00:05:35,000
+الكرة الأرضية أو الأرض، بدأت المعادن الثقيلة هي
+
+54
+00:05:35,000 --> 00:05:42,300
+التي تترسب في قاع المكان، ومعادن هي أقل وزنها
+
+55
+00:05:43,240 --> 00:05:46,480
+فتحولت هذه إلى ما يُعرف بالصخور النارية، صخور
+
+56
+00:05:46,480 --> 00:05:55,000
+النارية، ثم حدث إرسابات بعد ذلك فوقها أو طغيان مائي
+
+57
+00:05:55,000 --> 00:06:01,320
+على هذه الصخور النارية، ملايين السنين من المؤكد أن
+
+58
+00:06:01,320 --> 00:06:08,260
+الخصائص الطبيعية لهذه الصخور بدأت تتغير، بدأت سواء
+
+59
+00:06:08,260 --> 00:06:16,560
+كانت بالضغط الشديد عليها أو بارتفاع درجة حرارتها
+
+60
+00:06:16,560 --> 00:06:22,840
+شوف الإنسان لما ترتفع درجة حرارته درجة واحدة كده
+
+61
+00:06:22,840 --> 00:06:27,060
+درجة حرارة الإنسان سبعة أو ثلاثين درجة، هذه
+
+62
+00:06:27,060 --> 00:06:31,840
+الاعتيادية، لكن تشوفوا إذا صارت ثمانية وثلاثين أو
+
+63
+00:06:31,840 --> 00:06:38,000
+تسعة وثلاثين على طول بيلزم مراجعة الطبيب صح؟ فما
+
+64
+00:06:38,000 --> 00:06:44,040
+بالكم إذا كانت هذه الدرجات عالية جداً بآلاف
+
+65
+00:06:44,040 --> 00:06:51,120
+الدرجات المئوية في الصخور هتؤدي لتغيرها، عشان هيك
+
+66
+00:06:51,120 --> 00:06:57,220
+بنلاقي كثير من الصخور تحولت من طبيعتها إلى صخور
+
+67
+00:06:57,220 --> 00:07:04,580
+متحولة زي الجرانيت مثلا والشيست والكوارتزيت
+
+68
+00:07:04,580 --> 00:07:10,400
+والبازلت نتيجة لارتفاع الحرارة والضغط الشديد، النوع
+
+69
+00:07:10,400 --> 00:07:16,630
+الثالث من الصخور الأخرى الصخور الرسوبية، الصخور الرسوبية
+
+70
+00:07:16,630 --> 00:07:23,810
+تتوزع على شكل أو على شكل واسع في الكرة الأرضية
+
+71
+00:07:23,810 --> 00:07:31,770
+طبعا هذا التتابع في الصخور بدء عبر عصور وأزمنة، يعني أنا
+
+72
+00:07:31,770 --> 00:07:38,600
+عند الزمن الأول يتضمن البرمي والفحمي، الزمن
+
+73
+00:07:38,600 --> 00:07:43,340
+الثاني اللي هو فيه الترياسي والجوراسي والكريتاسي
+
+74
+00:07:43,340 --> 00:07:48,220
+والزمن الثالث اللي بتسميه زمن الميوسينات، والزمن
+
+75
+00:07:48,220 --> 00:07:55,080
+الرابع اللي هو ينقسم إلى عصرين البلايستوسين اللي
+
+76
+00:07:55,080 --> 00:07:59,660
+هو مطير وجليد والهولوسين اللي هو العصر الحديث
+
+77
+00:07:59,660 --> 00:08:05,280
+الصخور في الكرة الأرضية تكونت عبر الأزمنة هذه وأن
+
+78
+00:08:05,280 --> 00:08:12,660
+كل صخر كان له زمنه زي ما كنا نطلق عصور على المعادن
+
+79
+00:08:12,660 --> 00:08:15,600
+المكتشفة فيها كالعر الحديدي والعصر البرونزي
+
+80
+00:08:15,600 --> 00:08:23,280
+والعصر النحاسي، فهذا كله تكون عبر ملايين السنين، سطح
+
+81
+00:08:23,280 --> 00:08:25,640
+الأرض يتكون من ثلاثة أنواع صخور رئيسية اللي أنا
+
+82
+00:08:25,640 --> 00:08:30,780
+حكيناه طبعا، تتميز الصخور النارية بقوة صلابة 
+
+83
+00:08:30,780 --> 00:08:37,100
+بحيث أنه لما تأتي تكسر الصخر بيخرج منه شرار
+
+84
+00:08:37,100 --> 00:08:43,200
+نيران من صلابته عشانك
+
+85
+00:08:43,200 --> 00:08:48,700
+بنلاقي الصخور النارية خالية من الحفريات، ليش خالية
+
+86
+00:08:48,700 --> 00:08:54,360
+من الحفريات؟ صلبة نارية، وأي نبات أو حيوان سيعيش في
+
+87
+00:08:54,360 --> 00:09:00,160
+المناطق الصلبة هذه لأن ما في ... ما في
+
+88
+00:09:02,630 --> 00:09:11,170
+عشان هيك بنلاقي دائما في الجدل الصرفستائي عن أيٌّهما
+
+89
+00:09:11,170 --> 00:09:16,650
+أول البيضة أم الدجاجة؟
+
+90
+00:09:16,650 --> 00:09:24,610
+البيضة أم الدجاجة؟ فضله احكوا البيضة أولًا كيف؟
+
+91
+00:09:27,440 --> 00:09:29,800
+شوفوا كيف بيصير عندنا الجدل الصرفستائي زي ما
+
+92
+00:09:29,800 --> 00:09:33,360
+بيقولوا، شو الجدل الصرفستائي؟ هو الذي لا يوصل إلى
+
+93
+00:09:33,360 --> 00:09:38,620
+نتيجة، الجدل الصرفستائي بيتسمى إيش؟ الذي لا يوصل
+
+94
+00:09:38,620 --> 00:09:49,240
+إلى نتيجة، لكن هي صح البيضة أولًا، البيضة أولًا، ثم أن
+
+95
+00:09:49,240 --> 00:09:56,560
+المقابل الدجاج، البيضة هي التي تأتي بالدجاجة، طيب
+
+96
+00:09:56,900 --> 00:10:01,900
+والدجاجة هي اللي تأتي بالبيضة، لكن التطور الزمني
+
+97
+00:10:01,900 --> 00:10:08,540
+للأحيان بدأ في الزمن الثاني، بدأ في إيش؟ في الزمن
+
+98
+00:10:08,540 --> 00:10:17,580
+الثاني اللي هو إيش بيسميه؟ عصور المائيات الترياسي
+
+99
+00:10:17,580 --> 00:10:24,140
+والجوراسي والكريتاسي، حدث طغيان هائل للمياه على الكرة
+
+100
+00:10:24,140 --> 00:10:32,860
+الأرضية، يعني غطت اليابسة بالمياه، واحنا بنشوف لما
+
+101
+00:10:32,860 --> 00:10:38,740
+نعمل أي بقعة مياه بنشوف على اليابسة سبعين ثلاثة
+
+102
+00:10:38,740 --> 00:10:45,060
+بتتكون فيها حيوانات مائية، حيوانات مائية، فبدأت تتكون
+
+103
+00:10:45,060 --> 00:10:50,500
+في الزمن الثاني الحيوانات أو الكائنات البحرية هذه
+
+104
+00:10:50,500 --> 00:10:56,020
+الكائنات البحرية، في زمن انحسار المياه عن اليابسة
+
+105
+00:10:56,020 --> 00:11:03,160
+كانت أحيانا تخرج اليابسة فإن استطابت لها الأمر عاشت
+
+106
+00:11:03,160 --> 00:11:10,520
+فبدأت تعيش وتتكاثر الحيوانات البرية، إذا ما
+
+107
+00:11:10,520 --> 00:11:15,080
+استجابت لها الأمر رجعت إلى المياه، فوجدنا حيوانات
+
+108
+00:11:15,080 --> 00:11:22,590
+مائية وحيوانات إيش بينهما، كائنات كانت تستجم في
+
+109
+00:11:22,590 --> 00:11:26,210
+اليابسة ثم تعود إلى المياه في سميحة ونتبر مياه
+
+110
+00:11:26,210 --> 00:11:34,410
+طبعا الأسماك تبيض صح؟ فالبيضة كانت تنمو تدريجيا وهذا
+
+111
+00:11:34,410 --> 00:11:38,990
+الكلام ملايين السنين فبدأت
+
+112
+00:11:38,990 --> 00:11:45,410
+تتطور، وهذه نظرية داروين للتطور، نظرية داروين لتطور
+
+113
+00:11:45,410 --> 00:11:51,030
+الأشياء زي ما بيقول أن الإنسان فعلا هو ابن البيئة،
+
+114
+00:11:51,030 --> 00:11:56,570
+أيضا الكائنات هي ابن البيئة ماشي؟ فبدأت ت ... وطبعا اليوم
+
+115
+00:11:56,570 --> 00:11:59,490
+في المفهوم الاجتماعي البيضة الكبيرة
+
+116
+00:11:59,490 --> 00:12:05,570
+تأتي ب ... ببيضة كبيرة أو كتكو كبير، صح؟ والإنسان
+
+117
+00:12:05,570 --> 00:12:11,000
+الكبير يأتي بإنسان أيضا، إذا كانت هناك، أما ما حدث في
+
+118
+00:12:11,000 --> 00:12:16,000
+زمن نوح عليه السلام فهي قضية دينية ليس لها مقام
+
+119
+00:12:16,000 --> 00:12:21,800
+عندها، لا ماشي؟ لما قالوا وصلك فيها من كل الزوجين
+
+120
+00:12:21,800 --> 00:12:30,200
+اثنين، هذا التنوع في الصخور عكس أثره على التنوع
+
+121
+00:12:30,200 --> 00:12:33,520
+التربة، ما هي التربة؟
+
+122
+00:12:36,420 --> 00:12:41,820
+هذا التنوع في الصخور عكس أثره على تكوين التربة، ما
+
+123
+00:12:41,820 --> 00:12:47,180
+المقصود بالتربة؟ برافو
+
+124
+00:12:47,180 --> 00:12:54,900
+عليك، أو بمعنى آخر، ما هي التربة؟
+
+125
+00:12:54,900 --> 00:13:02,040
+فضله هي الطبقة السطحية التي تعلو الصخر ويختلف
+
+126
+00:13:02,040 --> 00:13:07,890
+سمكها من مكان إلى آخر، والمفتتة التي يغرس فيها
+
+127
+00:13:07,890 --> 00:13:13,850
+النبات جذوره، وتكون غنية بالمواد العضوية أو
+
+128
+00:13:13,850 --> 00:13:20,710
+المعدنية حسب طبيعة الصخر، حسب طبيعة الصخر، عشانك
+
+129
+00:13:20,710 --> 00:13:26,350
+بنلاقي كثير من التربات لا تصلح للزراعة لارتفاع
+
+130
+00:13:26,350 --> 00:13:34,780
+العنصر الأساسي المكون لها، خاصة الأملاح، ماشي؟ طيب، و
+
+131
+00:13:34,780 --> 00:13:42,220
+هناك صخور غنية جدا بالفحم أو الحديد، بالفحم أو
+
+132
+00:13:42,220 --> 00:13:46,840
+الحديد، طبعا الفحم قلنا حصل في أواخر الزمن اللي هي
+
+133
+00:13:46,840 --> 00:13:53,280
+الفحم وأوائل البرمي، أواخر الزمن الأول، العصرين
+
+134
+00:13:53,280 --> 00:14:00,440
+هدول الفحم والبرمي أواخر الزمن الأول، طب ماذا أفهم
+
+135
+00:14:00,440 --> 00:14:10,500
+من تكون الفحم واكتشافه في أواخر الزمن الأول حتى
+
+136
+00:14:10,500 --> 00:14:13,380
+سموا أحد عصور اللي هو اللي اكتشف فيها الفحم
+
+137
+00:14:13,380 --> 00:14:21,780
+الكربوني أو الفحم، أفضل من هذا أنه كان هناك حياة
+
+138
+00:14:21,780 --> 00:14:33,640
+كثيفة من النباتات تكونت في الطبيعة، ثم حدث تغير
+
+139
+00:14:33,640 --> 00:14:39,580
+مناخي، طمرت هذه النباتات ومع ارتفاع الحرارة لأن
+
+140
+00:14:39,580 --> 00:14:44,540
+القاعدة بتقول أن كل ما نزلنا إلى أسفل بطل ترتيب تفت
+
+**Note:** There are still some inconsistencies in the Arabic dialect (some words seem more Levantine, while others are more Egyptian) because these are a mixture of different spoken variations and are retained as-is per instructions. Also, there are certain spoken elements that don't translate neatly into proper Arabic writing and may require extra context to achieve full semantic clarity.
+
+141
+00:14:44,540 --> 00:14:49,500
+درجة، فتفحمت تلك النباتات
+
+142
+00:15:02,150 --> 00:15:07,450
+تفحمت تلك النباتات أيضًا نفس الكلام على زهور
+
+143
+00:15:07,450 --> 00:15:15,310
+البترول في أماكن مختلفة من سطح الكرة الأرضية
+
+144
+00:15:15,310 --> 00:15:20,570
+والبترول هو كامله 
+**(Possible Correction: والبترول هو كله)**
+
+145
+00:15:27,850 --> 00:15:34,550
+هو ناتج من تحلل المواد العضوية النباتية و الحيوانية لأن
+
+146
+00:15:34,550 --> 00:15:41,930
+زهور النبات معناه إيه؟ زهور حيوانات آكلة لتلك
+
+147
+00:15:41,930 --> 00:15:48,690
+النباتات، صح؟ لأن قضية المستهلكات اللي أخذتها في
+
+148
+00:15:48,690 --> 00:15:55,880
+العلوم متدرجة، صح؟ كل جنس يعتمد على .. عشانك بنلاقي
+
+149
+00:15:55,880 --> 00:16:00,700
+النظام الغذائي، ماشي؟ فزهور النباتات ثم زهور
+
+150
+00:16:00,700 --> 00:16:05,320
+الحيوانات بشكل كثيف وتغير الزمن بملايين السنين
+
+151
+00:16:05,320 --> 00:16:11,920
+أيضًا وانطمار تلك المكونات النباتية والحيوانية
+
+152
+00:16:11,920 --> 00:16:18,540
+تحللت بفعل الزمن إلى النفط إلى إيش؟ النفط
+
+153
+00:16:20,960 --> 00:16:25,720
+عشان هيك بنلاقي كثير من الدول غنية جدًا بالفحم ودول
+
+154
+00:16:25,720 --> 00:16:32,160
+كثيرة غنية جدًا بالبترول من
+
+155
+00:16:32,160 --> 00:16:36,520
+زمان قولنا أن توزيع المعادن في الكرة الأرضية هو
+
+156
+00:16:36,520 --> 00:16:46,240
+غير متساوي، غير متساوي للتذكير، لماذا هذا التوزيع
+
+157
+00:16:46,240 --> 00:16:49,940
+غير المتساوي؟
+
+158
+00:16:51,220 --> 00:16:57,300
+فدّالي يعني، من حالة غازية لحالة ثابتة، من حالة
+
+159
+00:16:57,300 --> 00:17:03,580
+سائلة لحالة إيش؟ فكانت كل خصائص المعدن تتجمع مع
+
+160
+00:17:03,580 --> 00:17:09,860
+بعضها، كل خصائص المعدن تتجمع مع بعضها، فنجد أن
+
+161
+00:17:09,860 --> 00:17:16,640
+الحديد تركز في مناطق والبترول يتركز في مناطق وها
+162
+00:17:16,640 --> 00:17:16,880
+كده
+
+163
+00:17:21,290 --> 00:17:29,250
+هذه المعادن كلها أدت إلى انتشار الصناعة في العالم
+
+164
+00:17:29,250 --> 00:17:48,030
+انتشار الصناعة في العالم طيب
+
+165
+00:17:48,030 --> 00:17:53,420
+تشوفيش الأرقام اللي عندي هذه الأول بنلاقي أن
+**(Possible Correction:  تشوفوا الأرقام اللي عندي هذه، الأول بنلاقي أن)**
+
+166
+00:17:53,420 --> 00:17:57,080
+الولايات المتحدة الأمريكية وروسيا والصين وبولندا
+
+167
+00:17:57,080 --> 00:18:02,200
+وبريطانيا وألمانيا بتنتج 75% من الإنتاج العالمي
+
+168
+00:18:02,200 --> 00:18:09,460
+لإيش؟ للفحم للفحم الحديد
+**(Possible Correction: لإيش؟ للفحم الحديد)**
+
+169
+00:18:11,900 --> 00:18:16,980
+لا يستغل منه تجاريًا إلا نحو 45 دولة، تنتج روسيا
+
+170
+00:18:16,980 --> 00:18:19,360
+والولايات المتحدة وأستراليا والفرنسا والهند
+
+171
+00:18:19,360 --> 00:18:23,240
+والسويد وإسبانيا وكندا، 75% من إنتاج العالم
+
+172
+00:18:23,240 --> 00:18:29,160
+الحديد، يعني دول أقل من عشرة يتركز فيها ثلث أرباع
+
+173
+00:18:29,160 --> 00:18:34,820
+الإنتاج العالمي، سواء كان من الفحم أو من الحديد و
+
+174
+00:18:34,820 --> 00:18:40,320
+مدام وجد عندي فحم و حديد مباشرة عندي صناعة الحديد
+
+175
+00:18:40,320 --> 00:18:51,260
+والصلب صناعة الحديد والصلب إذا
+
+176
+00:18:51,260 --> 00:18:59,700
+التكوين الجيولوجي عرفني على المعادن المتوطنة في
+
+177
+00:18:59,700 --> 00:19:08,170
+هذا التركيب فاهمين؟ التكوين الجيولوجي فهمّني ووضّح لي
+
+178
+00:19:08,170 --> 00:19:16,630
+المعادن الموجودة في هذه الطبقة، العامل الثاني اللي
+
+179
+00:19:16,630 --> 00:19:22,370
+احنا هندرسه اليوم والرابع على مستوى العوامل هو
+
+180
+00:19:22,370 --> 00:19:26,590
+مظاهر السطح Relief Relieve 
+**(Possible Correction: مظاهر السطح Relief)**
+
+181
+00:19:30,870 --> 00:19:39,290
+عمل التدريس لما نتكلم عن التدريس مباشرة بقول جبال
+
+182
+00:19:39,290 --> 00:19:48,550
+هضاب سهول هضاب جبال سهول فاهمين طيب ما تعريف الجبل
+
+183
+00:19:48,550 --> 00:19:54,610
+فضلاً لها
+
+184
+00:19:54,610 --> 00:19:58,970
+يزيد عن الألف متر هو مكان مرتفع
+
+185
+00:20:01,630 --> 00:20:05,710
+له قمة ويزيد عن الألف متر طب مكان مرتفع وليس له
+
+186
+00:20:05,710 --> 00:20:12,790
+قمة هضبة، أما السهل فهو مكان مُتبسط مكان يسهل
+
+187
+00:20:12,790 --> 00:20:19,750
+استغلاله ما هو أثر هذا التوزيع التدريسي على
+
+188
+00:20:19,750 --> 00:20:23,190
+المعادن
+
+189
+00:20:23,190 --> 00:20:29,590
+واستغلالها ما هو أثر هذا التوزيع التدريسي على إيش؟
+
+190
+00:20:30,120 --> 00:20:34,660
+استغلال المعادن،
+
+191
+00:20:34,660 --> 00:20:41,920
+بس معلومة قبل ما .. يعني حتى توزيع التضاريس، جبال،
+
+192
+00:20:41,920 --> 00:20:49,460
+هضاب، سهول، أثر على ناحية اجتماعية أيضًا، أثر على
+
+193
+00:20:49,460 --> 00:20:53,800
+ناحية إيش؟ اجتماعية، يعني شوفوا الجغرافيا هي
+
+194
+00:20:53,800 --> 00:21:01,660
+القاعدة التي تنطلق منها كافة العلوم يعني شوفوا ابن
+
+195
+00:21:01,660 --> 00:21:07,040
+خالدون في كتابه في علم الاجتماع قال لك ليه
+
+196
+00:21:07,040 --> 00:21:13,260
+التضاريس أثر حتى في مزاج الإنسان صحيح
+
+197
+00:21:13,260 --> 00:21:21,380
+في بنيته الجسدية أيضًا بنلاقي إنسان الجبال يمتاز
+
+198
+00:21:21,380 --> 00:21:27,680
+ بالقوة والنحافة لأنه دائمًا يتسلق إنسان السهول
+
+199
+00:21:27,680 --> 00:21:36,240
+يمتاز بالإيش؟ بالبدانة لأنه دائمًا ما يتحرك كثيرًا، إنسان
+
+200
+00:21:36,240 --> 00:21:41,780
+الصحاري يمتاز بالصبر والحدة،
+
+201
+00:21:41,780 --> 00:21:49,500
+إذا للطبيعة أيضًا دور كبير في التأثير على طبيعة
+
+202
+00:21:49,500 --> 00:21:53,040
+الإنسان، أما ناحية الصحاري هنشوف، وتأثير على
+
+203
+00:21:53,040 --> 00:22:03,870
+المعادن، تفضلي، أنت أنت احكي احكي يعني أنا
+
+204
+00:22:03,870 --> 00:22:09,830
+قلت من المرة الفاتت كلكم هخليكم تتكلموا فضل كاملة ليش
+
+205
+00:22:09,830 --> 00:22:13,150
+طيب؟ طيب
+
+206
+00:22:16,570 --> 00:22:19,870
+أكيد أن المظاهر التضاريسية اللي احنا حكينا عنها من 
+
+207
+00:22:19,870 --> 00:22:23,690
+زهور للضوء وجبال بتأثر على الإنتاج الاقتصادي هذا
+
+208
+00:22:23,690 --> 00:22:28,690
+ وهذا التباين بيأثر في تنمية ظروف المناخية وغطاءات
+
+209
+00:22:28,690 --> 00:22:32,970
+نباتية ومجموعات حيوانية فإنه من خلال الجداول اللي
+
+210
+00:22:32,970 --> 00:22:38,600
+يعني موجوده بيتضح أن نسبة السهول هي أعلى نسبة حتى
+
+211
+00:22:38,600 --> 00:22:42,840
+بتسجل واخدة 2000% وإن .. المجموع ليابس وإن كمان
+
+212
+00:22:42,840 --> 00:22:46,800
+الجبال هي أقل نسبة حتى بتسجل 12% وهذا بيساعد على
+
+213
+00:22:46,800 --> 00:22:50,520
+استغلال السهول ويعني بتكون أراضي صالحة للزراعة
+
+214
+00:22:50,520 --> 00:22:54,220
+ وأيضًا متأثر أشكال سطح الأرض على نشاط البشرية فإنه
+
+215
+00:22:54,220 --> 00:22:58,640
+احنا يعني الزراعة بتسهل أن زراعتها على السهول
+
+216
+00:22:58,640 --> 00:23:01,920
+لتوافر الإمكانيات أنا على الجبال فإنه بيصعب أن
+
+217
+00:23:01,920 --> 00:23:09,250
+نزرع ولكن وجد أن التطور إن زراعة المدرجات ممتازة يعني
+
+218
+00:23:09,250 --> 00:23:14,470
+شوف ربنا سبحانه وتعالى لما خلق الطبيعة أيضًا خلقها
+
+219
+00:23:14,470 --> 00:23:23,330
+عشان الإنسان يستغلها وما يصعبش ما يصعبش فلما نيجي
+
+220
+00:23:23,330 --> 00:23:29,000
+نشوف الجدول اللي هو عندنا من توزيع التضاريس على
+
+221
+00:23:29,000 --> 00:23:34,640
+الكرة الأرضية نجد على سبيل المثال في القارات أن
+
+222
+00:23:34,640 --> 00:23:43,640
+آسيا 32% من مساحتها سهول طب قداش مساحة آسيا 32% من
+
+223
+00:23:43,640 --> 00:23:52,840
+العالم؟ لأ هي
+
+224
+00:23:52,840 --> 00:23:58,770
+أكبر قارة من حيث المساحة أكبر قارة من حيث المساحة
+
+225
+00:23:58,770 --> 00:24:05,630
+سنة كام أنتم؟ طيب يعني يفترض خذتوها في الجغرافيا بس 
+
+226
+00:24:05,630 --> 00:24:11,810
+خذتوها طيب مش هقول لكم مساحتها علشان يفترض أن تروحوا
+
+227
+00:24:11,810 --> 00:24:17,950
+تبحثوا عنها والمعلومات التي تبحثون عنها ما لها بتظل 
+
+228
+00:24:17,950 --> 00:24:32,290
+راسخة في أدمغتكم 32% سهول 24% هضاب 24% تلال و 20%
+
+229
+00:24:32,290 --> 00:24:40,030
+جبال ما الفرق بين التلال و الجبال ما الفرق بين
+
+230
+00:24:40,030 --> 00:24:46,890
+التلال و الجبال التل
+
+231
+00:24:46,890 --> 00:24:48,270
+هو ما ليس بجبل
+
+232
+00:24:56,870 --> 00:25:06,790
+ممكن ممكن التل هو ما ليس بجبل وغزة كانت تكثر بها
+
+233
+00:25:06,790 --> 00:25:12,530
+التلال الرملية على شاطئها الجميل على شاطئها إيش؟
+
+234
+00:25:12,530 --> 00:25:20,650
+الجميل هذه التلال هي ما ليست بجبل كذلك الهضبة هي ما
+
+235
+00:25:20,650 --> 00:25:30,650
+ليست بجبل لكن التل ليس له قمة ليس له قمة والجبال
+
+236
+00:25:30,650 --> 00:25:39,490
+طب ربنا إيش بيقول عن الجبال؟
+
+237
+00:25:39,490 --> 00:25:50,710
+ممكن نعتبر التل هضبة بس الهضبة مكان متسع مكان متسع
+
+238
+00:25:50,710 --> 00:25:56,250
+بس التل يعني بالضبط أنا بشبه التل زي عربية الرمل
+
+239
+00:25:56,250 --> 00:26:00,850
+اللي بنزلها للاستخدام المنزلي يعني هذا هو التل مش
+
+240
+00:26:00,850 --> 00:26:06,050
+بتعملي زي التل اه هذا هو التل يعني يختلف ارتفاعه
+
+241
+00:26:06,050 --> 00:26:10,950
+يمكن يصل ل 200 متر و 300 متر و 400 متر التل وخاصة
+
+242
+00:26:10,950 --> 00:26:15,990
+أن هناك ترسبات رسوبية دائمًا تأتي عليه فات بناءً
+
+243
+00:26:15,990 --> 00:26:23,880
+بتسميها ماشي؟ بالنسبة للجبال إيش
+
+244
+00:26:23,880 --> 00:26:31,260
+ربنا بيقول عنها؟ رواسي، ماشي؟ شامخان، وبعدين تمر
+
+245
+00:26:31,260 --> 00:26:40,180
+تمر السحاب، صنع الله الذي أدخنه، ماشي ثانيًا جبل
+
+246
+00:26:40,180 --> 00:26:48,650
+عرفة، بنشوف الجبل؟ بنشوف الجبل هو عبارة عن تلة
+
+247
+00:26:48,650 --> 00:26:55,110
+ صغيرة ربنا يجد يعطيكم الحج
+
+248
+00:26:55,110 --> 00:26:59,690
+إن شاء الله لماذا سمي بهذا الاسم؟ لماذا سمي جبل
+
+249
+00:26:59,690 --> 00:27:03,670
+عرفة بهذا الاسم؟
+
+250
+00:27:03,670 --> 00:27:08,850
+هو لماذا سمي بهذا الاسم؟ علميًا أنا مش عايز أقول
+
+251
+00:27:08,850 --> 00:27:10,270
+أنه ..
+
+252
+00:27:15,470 --> 00:27:20,990
+بنشوف عبارة عن تلة صغيرة الجبل علميًا
+
+253
+00:27:20,990 --> 00:27:27,350
+ليس بجبل يعني ليس مكانًا مرتفعًا له قمة علميًا ليس
+
+254
+00:27:27,350 --> 00:27:32,650
+بجبل هو سمي بعرفات في هذا الاسم أنا بقول هو علميًا
+
+255
+00:27:32,650 --> 00:27:38,530
+الجبل مكان مرتفع يزيد عن الألف متر ولو قمة أما جبل
+
+256
+00:27:38,530 --> 00:27:44,150
+عرفة أنا بشوف عبارة عن تلة صغيرة هضبة صغيرة لماذا 
+
+257
+00:27:44,150 --> 00:27:45,130
+سميها بجبل؟
+
+258
+00:27:47,860 --> 00:27:52,180
+لماذا سمي بجبل؟
+
+259
+00:27:52,180 --> 00:27:58,000
+الجبل عارفة بتشوفوا في التليفزيون، هل له قمة؟ هل هو
+
+260
+00:27:58,000 --> 00:28:05,820
+مكان مرتفع؟ لماذا نطلق عليه اسم الجبل؟ إذا اسمه
+
+261
+00:28:05,820 --> 00:28:08,840
+DNA، برافو عليك، اسمه DNA
+
+262
+00:28:11,770 --> 00:28:18,050
+اسمهم DNA .. اسمهم DNA .. أوروبا .. شوفوا أوروبا
+
+263
+00:28:18,050 --> 00:28:25,430
+سهلة والحارة 67% من مساحتها سهول .. قداش مساحة
+**(Possible Correction:  وأوروبا 67% من مساحتها سهول .. قداش مساحة)**
+
+264
+00:28:25,430 --> 00:28:29,850
+أوروبا
+
+265
+00:28:29,850 --> 00:28:40,540
+.. دي مساحتها بالكيلومتر 8% هضاب شايفين كده؟ مافيش
+
+266
+00:28:40,540 --> 00:28:45,260
+هضاب كثير في أوروبا عشان هيك بنشوف السهول في
+
+267
+00:28:45,260 --> 00:28:49,720
+أوروبا في سهل عظيم في أوروبا اسمه سهل أوروبا
+
+268
+00:28:49,720 --> 00:28:54,400
+العظيم زي ما بقول الصحراء الكبرى في أفريقيا السهل
+
+269
+00:28:54,400 --> 00:29:03,280
+الأوروبي العظيم 21% تلال 4% جبال أفريقيا 25% شايف؟
+
+270
+00:29:03,280 --> 00:29:10,770
+أفريقيا غلبانة كده عشان هي miserable أفريقيا ربع
+**(Possible Correction: أفريقيا غلبانة كده عشان هي مسكينة أفريقيا ربع )**
+
+271
+00:29:10,770 --> 00:29:23,210
+مساحتها إيش؟ 71% هضاب 1% تلال 3% جبال قليل هذا كله
+
+272
+00:29:23,210 --> 00:29:31,770
+هو صحراء كمان قاحلة صحراء قاحلة أمريكا الشمالية 52
+
+273
+00:29:31,770 --> 00:29:44,180
+% fifty fifty 52%سهول 71% إيش و 24% هضاب 11% تلال
+**(Possible Correction:  % fifty fifty 52%سهول  24% هضاب 11% تلال 13% جبال)**
+
+274
+00:29:44,180 --> 00:29:52,360
+13 جبال أمريكا الجنوبية 56% أيضًا أكثر من النصف 24%
+
+275
+00:29:52,360 --> 00:30:00,740
+9 تلال 11% جبال أستراليا والجزر المحيطة بها
+
+276
+00:30:00,740 --> 00:30:02,540
+بيسميها الأوقيانوسية
+
+277
+00:30:06,220 --> 00:30:13,080
+تختار من النصف تختار 
+
+278
+00:30:13,080 --> 00:30:19,120
+من النصف تختار
+
+279
+00:30:19,120 --> 00:30:21,800
+من النصف تختار من النصف تختار من النصف تختار من
+
+280
+00:30:21,800 --> 00:30:21,820
+النصف تختار من النصف تختار من النصف تختار من 
+
+281
+00:30:21,820 --> 00:30:25,960
+النصف تختار من النصف تختار من النصف تختار من
+
+282
+00:30:25,960 --> 00:30:33,640
+النصف تختار 
+
+283
+00:30:33,640 --> 00:30:38,310
+من النصف الجبال طبعا المصدر زي ما أنتم شايفينه
+
+284
+00:30:38,310 --> 00:30:42,830
+الدكتور أحمد علي أحمد هارون أسس الجغرافيا
+
+285
+00:30:42,830 --> 00:30:47,870
+الاقتصادية موجود في المكتب 2010 يعني إصدار حديث
+
+286
+00:30:47,870 --> 00:30:52,910
+إصدار حديث
+
+287
+00:30:52,910 --> 00:31:05,070
+كيف تؤثر مظاهر السطح على نشاط البشر كيف تؤثر أشكال
+
+288
+00:31:05,070 --> 00:31:25,610
+السطح على النشاط البشري، تفضلي أنت عشان
+
+289
+00:31:25,610 --> 00:31:31,130
+هيك شوية مداخلة صغيرة، غالبية سكان العالم يتركزوا
+
+290
+00:31:31,130 --> 00:31:36,430
+في السهول يعني أكثر من 80% من سكان العالم يتركزوا
+
+291
+00:31:36,430 --> 00:31:43,570
+حيث السهول سواء كان سهول ساحلية أو فيضية أو كاملة
+
+292
+00:31:43,570 --> 00:31:56,190
+يعني
+
+293
+00:31:56,190 --> 00:32:02,500
+بمعنى أن هذه الجبال مش فيها طرق بنسميها طرق
+
+294
+00:32:02,500 --> 00:32:08,740
+التفافية على الجبل طرق التفافية التي تقام على
+
+295
+00:32:08,740 --> 00:32:15,920
+الجبال طرق التفافية يعني بدك تلف حوالين أين وردت
+
+296
+00:32:15,920 --> 00:32:24,040
+الطرق التفافية هذه أسماؤها أسماؤها كثيرة الطرق
+
+297
+00:32:24,040 --> 00:32:24,740
+التفافية
+
+298
+00:32:37,350 --> 00:32:45,830
+الطرق  الاجتماعية تكثر في الضفة الغربية المحتلة حيث
+
+299
+00:32:45,830 --> 00:32:52,350
+قامت إسرائيل بشقها لإبعاد المستوطنين عن التجمعات 
+
+300
+00:32:52,350 --> 00:32:56,770
+الفلسطينية فهمتم؟
+
+301
+00:32:57,550 --> 00:33:03,930
+فالطرق على الجبال هي طرق التفافية .. طرق التفافية
+
+302
+00:33:03,930 --> 00:33:10,830
+.. كم ليه يا أستاذة؟ خلاص؟
+
+303
+00:33:10,830 --> 00:33:20,310
+طيب .. كمان مين بدأت تحكي؟ فضل يا خزاني تأثر أشكال
+
+304
+00:33:20,310 --> 00:33:24,550
+سطح الأرض على النشاط البشري. أظن أن رقبة
+
+305
+00:33:24,550 --> 00:33:28,730
+السوريين هي أكثر ملائمة من التجمع السوداني، حيث
+
+306
+00:33:28,730 --> 00:33:33,030
+أنها تتكيف مع الجثة السودانية على سرور، لأنها يسر
+
+307
+00:33:33,030 --> 00:33:38,190
+فيها الحركة والنشاط البشري يزداد في السهول، بإذن 
+
+308
+00:33:38,190 --> 00:33:42,950
+الأوروبية، زي ما أخذنا، أن فيها 67% سهول، ويظهر أن
+
+309
+00:33:42,950 --> 00:33:48,770
+السهول هي مناطق تعد بأن التربة فيها مزادة جدا، وأيضا
+
+310
+00:33:48,770 --> 00:33:53,710
+بعكس المناطق الجبلية يصعب إنشاء طرق حديثة ومبتكرة
+
+311
+00:33:53,710 --> 00:33:59,390
+و الخطوط وأيضا ينتشر على المناطق الجبلية بناء 
+
+312
+00:33:59,390 --> 00:34:04,430
+الجزور وأيضا الطرق الانتقالية التي تقع على الجبل
+
+313
+00:34:04,430 --> 00:34:11,670
+برافو عليك، إذا لكل تضاريس أو نوع من التضاريس
+
+314
+00:34:11,670 --> 00:34:19,090
+النشاط الاقتصادي الملائم له كمان مرة؟ لكل نوع من
+
+315
+00:34:19,090 --> 00:34:24,770
+أنواع التضاريس النشاط الاقتصادي الملائم له فالسهول
+
+316
+00:34:24,770 --> 00:34:32,370
+قضية حتمية هي للزراعة على سبيل المثال وما نلاقيش
+
+317
+00:34:32,370 --> 00:34:36,630
+أي مشكلة سواء كانت في الزراعة أو في مد طرق
+
+318
+00:34:36,630 --> 00:34:41,730
+المواصلات أو في المطارات أو أو الآخرين في استغلال
+
+319
+00:34:41,730 --> 00:34:48,190
+السهول فمن اسمها سهلة الاستغلال أما إذا كانت جبلية
+
+320
+00:34:48,190 --> 00:34:53,570
+فالزراعة تتطلب أن تتحول إلى مدرجات إلى مدرجات زي
+
+321
+00:34:53,570 --> 00:34:57,990
+ما بتشوفوا احنا في اليمن السعيد وفي جبال الطفة
+
+322
+00:34:57,990 --> 00:35:06,910
+الغربية طيب ما أثر التضاريس على الأمطار أو على
+
+323
+00:35:06,910 --> 00:35:16,390
+المناخ ما أثر التضاريس على الأمطار
+
+324
+00:35:17,420 --> 00:35:23,960
+ممكن المناطق اللي تقع مواجهة الجبال تكون المناطق
+
+325
+00:35:23,960 --> 00:35:26,760
+اللي تقع عليها أكثر بشكل كبير أما اللي تقع في ظل
+
+326
+00:35:26,760 --> 00:35:29,980
+الجبال مايكونش فيها مطر كثيرة بالتالي الأراضي
+
+327
+00:35:29,980 --> 00:35:34,960
+اللي بيكون فيها زراعة ونشاط اقتصادي جميل 100%
+
+328
+00:35:34,960 --> 00:35:42,230
+نشوف تضاريس فلسطين على سبيل المثالتضاريس فلسطين لأنه
+
+329
+00:35:42,230 --> 00:35:46,490
+من رسالة الجامعة الإسلامية هي فلسطين المادة
+
+330
+00:35:46,490 --> 00:35:56,070
+العلمية فلسطين المادة العلمية Hi فلسطين ماشي
+
+331
+00:35:56,070 --> 00:35:59,590
+شو
+
+332
+00:35:59,590 --> 00:36:08,630
+بيسمي هذا ال finger إصبع الجليل ننزل وبعدين
+
+333
+00:36:08,630 --> 00:36:14,570
+بنلاقي إيش البحر الميت؟ ليه سموه يا جماعة ميت؟ لأن
+
+334
+00:36:14,570 --> 00:36:18,730
+مافيش فيه حياة لأن مافيش فيه حياة أبدا، مافيش فيه
+
+335
+00:36:18,730 --> 00:36:27,110
+إيش حياة أبدا طب قالوا فيه بكتيريا تعيش .. اه و
+
+336
+00:36:27,110 --> 00:36:34,190
+هذه البكتيريا مش كانت حية؟ اه طيب اليوم في عندي 
+
+337
+00:36:34,190 --> 00:36:39,850
+فلسطينها سلسلة جمالية بنطبق عليها العمود الفقري
+
+338
+00:36:40,720 --> 00:36:47,300
+لفلسطين العمود الفقري لفلسطين وبالتالي بتلاقي أن
+
+339
+00:36:47,300 --> 00:36:57,880
+الجهة الغربية المواجهة للبحر المتوسط هي 
+
+340
+00:36:57,880 --> 00:37:04,600
+التي تزخر بالأمطار لأن الأمطار عندي في فلسطين هي
+
+341
+00:37:04,600 --> 00:37:05,080
+..
+
+342
+00:37:08,830 --> 00:37:15,710
+جنوبية غربية بسبب الرياح ليش؟ العكسية سمّوها عكسية
+
+343
+00:37:15,710 --> 00:37:22,410
+ليش؟ لأنها عكس التجارية، bravo عليه كمان فيه،
+
+344
+00:37:22,410 --> 00:37:26,090
+سمّوها عكسية ليش؟
+
+345
+00:37:26,090 --> 00:37:31,950
+ليه سمّوها عكسية كمان؟ طب أنا بدي أقول لكم، لأن في 
+
+346
+00:37:31,950 --> 00:37:39,460
+نصف الكرة الشمالي في نصف الكرة الشمالية بتكون جنوبية
+
+347
+00:37:39,460 --> 00:37:47,940
+إيش؟ غربية، جنوبية، غربية، في نصف الكرة الجنوبي
+
+348
+00:37:47,940 --> 00:37:57,160
+بتكون شمالية، غربية، أي أنها تسير عكس نصف الكرة
+
+349
+00:37:57,160 --> 00:38:00,220
+الرياح
+
+350
+00:38:00,220 --> 00:38:05,360
+كلها بشكل عام، هي رياح منتظمة على سطح الكرة 
+
+351
+00:38:05,360 --> 00:38:06,100
+الأرضية
+
+352
+00:38:08,740 --> 00:38:14,500
+سميت عكسية لأنها تسير عكس نصف الكرة تسير عكس نصف
+
+353
+00:38:14,500 --> 00:38:18,580
+.. ليش؟ في نصف الكرة الشمالي بنقول عنها إيش؟
+
+354
+00:38:18,580 --> 00:38:24,200
+جنوبية غربية في نصف الكرة الجنوبي فهمت لماذا؟
+
+355
+00:38:24,200 --> 00:38:30,820
+فهمت؟ yes ماشي؟ طيب نيجي ل .. مدام إحنا دخلنا على
+
+356
+00:38:30,820 --> 00:38:35,700
+الرياح قانون فعل على الرياح صح؟ أن الرياح تسير في
+
+357
+00:38:35,700 --> 00:38:42,070
+نصف الكرة إيش؟ الشمالي يمين اتجاهي ها تعرفوها دي؟
+
+358
+00:38:42,070 --> 00:38:49,630
+كيف طيب؟ انمثل على ال .. الآن الرياح خرجت من هنا
+
+359
+00:38:49,630 --> 00:38:56,170
+وين ناشيها؟ يمين اتجاه ولا يسار؟ يمين وصلت للحافة 
+
+360
+00:38:56,170 --> 00:39:02,370
+النهائية وين نشيت؟ يمين ولا يسار؟ يمين صح؟ نزل
+
+361
+00:39:02,370 --> 00:39:09,470
+تاني لل .. يمين ولا يسار؟ يمين لازلنا في نصف الكورة
+
+362
+00:39:09,470 --> 00:39:13,590
+الشمالية يمين دخلنا
+
+363
+00:39:13,590 --> 00:39:21,170
+نصف الكورة الجنوبية وين راحات؟ يسار، يسار، يسار، 
+
+364
+00:39:21,170 --> 00:39:26,870
+صح؟ يسار، دخلنا نصف الكورة الشمالية؟ يمين، هكذا
+
+365
+00:39:26,870 --> 00:39:31,470
+هذه الدورة الهوائية على سطح الكرة الأرضية أنا في 
+
+366
+00:39:31,470 --> 00:39:34,870
+نصف الكورة الشمالية تسير يمين اتجاهها وفي نصف 
+
+367
+00:39:34,870 --> 00:39:36,070
+الكورة الجنوبية يسار
+
+368
+00:39:38,770 --> 00:39:46,610
+أما الجهة الشرقية من جبال فلسطين فتقع في ظل المطر
+
+369
+00:39:46,610 --> 00:39:49,970
+بيسمي rain shadow
+
+370
+00:39:59,930 --> 00:40:07,530
+غرب فلسطين المحصور بين سلسلة الجبال وسط والبحر
+
+371
+00:40:07,530 --> 00:40:12,870
+المتوسط هي التي تزخر بالحياة تزخر؟ أما شرق فلسطين
+
+372
+00:40:12,870 --> 00:40:21,110
+فهو فقير في الحياة بالاستثناء بعض القرى الزراعية التي
+
+373
+00:40:21,110 --> 00:40:26,470
+تعتمد على مياه نهر الأردن وهناك مدينة رئيسية فيها
+
+374
+00:40:26,470 --> 00:40:33,440
+اسمها في شرق فلسطين مدينة رئيسية لها شفرة عالمية
+
+375
+00:40:33,440 --> 00:40:39,980
+اسمها Areja Areja Rola الاسم الانجليزي ل Areja هي 
+
+376
+00:40:39,980 --> 00:40:48,060
+Jericho Jericho فعلا فهمتم؟ إذا لما نجي نقول أثر
+
+377
+00:40:48,060 --> 00:40:52,760
+التضاريس على الاستغلال في فلسطين نقول أن المناطق
+
+378
+00:40:52,760 --> 00:41:05,950
+السهلية هنا تستغل بالزراعة على الساحل ثم
+
+379
+00:41:05,950 --> 00:41:11,370
+تبدأ بالارتفاع كل ما اتجهنا شرقا فتحول الجبال إلى 
+
+380
+00:41:11,370 --> 00:41:16,450
+مدرجات مدرجات عشان هيك اللي بكرا إن شاء الله
+
+381
+00:41:16,450 --> 00:41:23,410
+تذهبون إلى القدس بتشوفوا سلسلة جبال فلسطين مدرجات
+
+382
+00:41:23,410 --> 00:41:26,930
+مزروع عليها شجر الزيتون والخروم
+
+383
+00:41:28,910 --> 00:41:38,010
+في الغور اللي هو نهر الأردن طبعا تزرع البساتين
+
+384
+00:41:38,010 --> 00:41:43,490
+لأنها منطقة منخفضة
+
+385
+00:41:43,490 --> 00:41:52,170
+تعتمد الزراعة فيها على مياه نهر الأردن طيب
+
+386
+00:41:52,170 --> 00:41:59,720
+بالنسبة لأشعة الشمس في فلسطين احنا بنشوف أحيانا
+
+387
+00:41:59,720 --> 00:42:05,080
+الجبال على سبيل المثال جبال الهيمالايا في آسيا بهذا
+
+388
+00:42:05,080 --> 00:42:12,720
+الشكل نجد أن الجهة الجنوبية من هذه السلسلة أكثر
+
+389
+00:42:12,720 --> 00:42:19,300
+حياة من الجهة الشمالية ليش طيب؟
+
+390
+00:42:24,770 --> 00:42:29,670
+لأن الجهة الجنوبية من المرتفعات في جبال همالايا و
+
+391
+00:42:29,670 --> 00:42:34,230
+القلب هي مواجهة أشعة الشمس لأن الشمس أقرب مداد
+
+392
+00:42:34,230 --> 00:42:43,910
+إليها مدار السرطان مدار ثلاثة وعشرين ونصف درجة إلى
+
+393
+00:42:43,910 --> 00:42:51,670
+الشمس فهذا بيسميها ضل الشمس ضل الشمس وطبعا مصدر
+
+394
+00:42:51,670 --> 00:42:58,630
+الحياة الشمس اللي بناخد منه الضوء اللازم لعملية 
+
+395
+00:42:58,630 --> 00:43:02,970
+التمثيل للنبات
+
+396
+00:43:02,970 --> 00:43:14,070
+طب في فلسطين وين المناطق التي تقع في ظل الشمس؟
+
+397
+00:43:14,070 --> 00:43:17,970
+بديش 
+
+398
+00:43:17,970 --> 00:43:24,910
+إجابة يا جماعة، بدي واحدة تطلع تفهمنا بالقياس حيث
+
+399
+00:43:24,910 --> 00:43:31,130
+أن أنا جبت جبال همالايا في آسيا وجبال فلسطين وقلنا
+
+400
+00:43:31,130 --> 00:43:37,390
+أنها تقع في ظل الشمس لأن الشمس آخر امتداد لها في
+
+401
+00:43:37,390 --> 00:43:43,210
+الشمال مدار السرطان فبتلاقي جهة مواجهة للشمس جهة
+
+402
+00:43:43,210 --> 00:43:48,170
+معاكسة للشمس ومن المؤكد أن الجهة المواجهة للشمس هي
+
+403
+00:43:48,170 --> 00:43:53,080
+أكثر حيوية من الجهة الأيه؟ أما في فلسطين فأين
+
+404
+00:43:53,080 --> 00:43:59,820
+الجهة التي تقع في ظل الشمس؟ في ظل الشمس، واحدة 
+
+405
+00:43:59,820 --> 00:44:11,780
+تتفضل على هذه الأشكال اللي عنده على اللغة أين؟
+
+406
+00:44:11,780 --> 00:44:14,800
+التي تقع في ظل الشمس
+
+407
+00:44:22,230 --> 00:44:38,430
+أين التفكير الإبداعي؟
+
+408
+00:44:38,430 --> 00:44:44,650
+ماعرفش
+
+409
+00:44:44,650 --> 00:44:51,630
+إيش احنا بنقول أن الجبال تؤثر في الأمطار وشوفنا في
+
+410
+00:44:51,630 --> 00:44:55,830
+فلسطين تؤثر في ارتفاع الحرارة وانخفاض حيث كل ما 
+
+411
+00:44:55,830 --> 00:45:01,030
+ارتفعنا إلى أعلى تنخفض درجات الحرارة أيضا لقينا
+
+412
+00:45:01,030 --> 00:45:08,270
+في أثر على الشمس الإشعاع الشمسي وجبنا جبال
+
+413
+00:45:08,270 --> 00:45:11,830
+همالايا قلنا وين في ضل الشمس زي ما في ضل المطر في
+
+414
+00:45:11,830 --> 00:45:17,300
+عندنا ضل الشمس لكن أين في فلسطين المناطق التي تقع في
+
+415
+00:45:17,300 --> 00:45:22,460
+ظل الشمس؟ ياريت أنت تفضلي تتحفينا في الإجابة ش
+
+416
+00:45:22,460 --> 00:45:27,480
+مناطق لأن الشمس لما تتحرك .. تبقى يعني عجيبة لما
+
+417
+00:45:27,480 --> 00:45:31,260
+تتحرك الشمس تبقى .. يعني أنت مش عارف تكون مع الجبل
+
+418
+00:45:31,260 --> 00:45:34,420
+في رشدك لما تورب على الشمس تورب على الشمس كثيرة
+
+419
+00:45:34,420 --> 00:45:40,440
+رائعة وماسك هذا الكلام على المفضوم يا مفضومي تفضلي
+
+420
+00:45:40,440 --> 00:45:48,460
+ممتازة ممتازة .. ممتازة .. استمعوا للإجابة الصحيحة 
+
+421
+00:45:48,460 --> 00:45:55,100
+الشمس لما تكون .. فضلا هي الجنة .. ممتازة لما تكون
+
+422
+00:45:55,100 --> 00:45:57,780
+الشمس يعني هال .. بتيجي على الجبل في الجهة الشرقية
+
+423
+00:45:57,780 --> 00:46:02,200
+.. ممتازة لما تيجي للغرب فبتكون الجهة اللي .. لما
+
+424
+00:46:02,200 --> 00:46:06,140
+تغرب الشمس بتيجي على الجهة الغربية في الجبل .. yes
+
+425
+00:46:06,140 --> 00:46:07,260
+فهمتم؟
+
+426
+00:46:18,740 --> 00:46:26,140
+مافيش في فلسطين مكان يقع تحت ظل الشمس طيب
+
+427
+00:46:26,140 --> 00:46:33,020
+ليش ما تكلمتيش؟ الشمس لما تشرق تشرق على الجهة
+
+428
+00:46:33,020 --> 00:46:39,850
+الشرقية التي تقع في ظل المطار لما تغرب، تغرب على
+
+429
+00:46:39,850 --> 00:46:45,830
+الجهة الغربية المواجهة للمطار، شفت موقع فلسطين
+
+430
+00:46:45,830 --> 00:46:54,190
+فريد وجميل بهذا الشكل؟ عشان هي بتتعرض ل أشعة الشمس؟
+
+431
+00:46:54,190 --> 00:47:00,390
+وبالتالي المناطق التي تتعرض للإشعاع الشمسي هي أسرع
+
+432
+00:47:00,390 --> 00:47:06,330
+نموًا في النبات، أسرع نموًا عشان هيك بنلاقي أن 
+
+433
+00:47:06,330 --> 00:47:13,470
+الفاكهة في أريحا تنضج مبكرًا، الارتفاع ليش؟ الحرارة
+
+434
+00:47:13,470 --> 00:47:18,650
+والدليل على ذلك البلح يعني بلح أريحا بيجينا قبل ما
+
+435
+00:47:18,650 --> 00:47:23,790
+بلحنا ينضج ولا لا نتيجة لإيش؟ الارتفاع والحرارة 
+
+436
+00:47:23,790 --> 00:47:27,010
+المنطقة
+
+437
+00:47:27,010 --> 00:47:28,510
+الأغوار
+
+438
+00:47:53,930 --> 00:48:04,130
+أنتِ اه، بماذا تفسرين عدم وجود مناطق في ظل الشمس في 
+
+439
+00:48:04,130 --> 00:48:10,010
+فلسطين جميع
+
+440
+00:48:10,010 --> 00:48:21,210
+تقع في مواجهة... إجابة أخرى فضل، أنتِ اه
+
+441
+00:48:21,210 --> 00:48:24,490
+يعني
+
+442
+00:48:24,490 --> 00:48:37,570
+أنتِ سارة، الحرف الثاني جاوبتي، وأنا جاوبة ممتاز
+
+443
+00:48:37,570 --> 00:48:44,120
+كثير، وصلت المعلومة صح؟ yes، طبعًا عشان نجد أن المناطق
+
+444
+00:48:44,120 --> 00:48:47,820
+اللي بتقع تحت التأثير الشمسي هي أصلًا نموها
+
+445
+00:48:47,820 --> 00:48:56,780
+أسرع في... حتى... حتى الإنسان في الأنثى و الشعر
+
+446
+00:48:56,780 --> 00:49:01,480
+وشكل الوجه والقامة يتأثر أيضًا بالإشعاع الشمسي 
+
+447
+00:49:01,480 --> 00:49:06,620
+عشان هيك بنلاقي منطقة سطوع الشمس الحارة البنية
+
+448
+00:49:06,620 --> 00:49:15,560
+اللونية تبعتهم سمراء... ما شاء الله سمراء، وكلما خف الإشعاع
+
+449
+00:49:15,560 --> 00:49:21,040
+الشمسي كلما بعدنا عن خط الاستواء تتلون البشرة بلون
+
+450
+00:49:21,040 --> 00:49:27,200
+أفتح 
+
+451
+00:49:27,200 --> 00:49:33,140
+تؤثر التضاريس في جريان الأنهار، تتأثر
+
+452
+00:49:33,140 --> 00:49:41,720
+التضاريس في جريان الأنهار، بنلاقي أن النهر لما ينبع
+
+453
+00:49:41,720 --> 00:49:47,620
+من منطقة مرتفعة، هذه في الـ geomorphology طبعًا أنتم
+
+454
+00:49:47,620 --> 00:49:53,740
+أخذتوا الـ geomorphology؟ الأنهار 
+
+455
+00:49:53,740 --> 00:50:00,440
+التي تنبع من الجبال تنشط فيها التعرية الرأسية
+
+456
+00:50:00,440 --> 00:50:08,640
+تعرية إيش؟ الرأسية مشكلة خوانق أو أودية عميقة، طب
+
+457
+00:50:08,640 --> 00:50:12,180
+ليش؟ لأنه بتبدأ تنحد حتى تصل إلى مستوى القاعدة الـ 
+
+458
+00:50:12,180 --> 00:50:16,140
+base level، وين الـ base level  اللي هو القاعدة؟ مستوى
+
+459
+00:50:16,140 --> 00:50:22,460
+سطح البحر... مستوى سطح البحر، وإذا كانت الأنهار في
+
+460
+00:50:22,460 --> 00:50:29,540
+منطقة سهلية تكثر الإرسابات الفيضية، تكثر إرسابات
+
+461
+00:50:29,540 --> 00:50:36,260
+ليش؟ التي تكون من أصلها نوع التربات، ليش؟ للزراعة، طب
+
+462
+00:50:36,260 --> 00:50:42,000
+إذا كانت المنطقة طفيفة الانحدار فبنلاقي شكل النهر
+
+463
+00:50:42,000 --> 00:50:48,380
+ملتوي، شكل النهر إيش؟ ملتوي، كيف شكل النهر ملتوي؟
+
+464
+00:50:48,380 --> 00:50:53,880
+يعني بهذا الشكل، النهر بيجري بهذا الشكل ولا لا يا
+
+465
+00:50:53,880 --> 00:51:00,140
+رولا؟ هاي الـ delta  تبع النهر في مرحلة الشباب
+
+466
+00:51:00,140 --> 00:51:06,950
+بنلاقي بيكثر عملية النحت الرأسي، صحيح؟ طيب يا سيد 
+
+467
+00:51:06,950 --> 00:51:10,530
+الحمد لله، وصحيح، احتضان أصلا في العالم الإسلامي 
+
+468
+00:51:10,530 --> 00:51:14,570
+في العالم الإسلامي، يعني أنتم لحظة، يعني الحمد لله
+
+469
+00:51:14,570 --> 00:51:21,210
+ما بنسيبش معلومة تحتاج إلى شرح إلا بنجيبها، هذي اللي
+
+470
+00:51:21,210 --> 00:51:28,950
+هو الارتفاع الكبير في الـ  أشعة الشمس في هذه المنطقة، الانحدار
+
+471
+00:51:28,950 --> 00:51:35,030
+طفيف، انحدار إيش؟ طفيف، فمن هناك النهر ينحد في الجهة 
+
+472
+00:51:35,030 --> 00:51:40,290
+هذه ويرسب هنا ويرسب
+
+473
+00:51:40,290 --> 00:51:43,170
+هنا ويرسب هنا ويرسب هنا ويرسب هنا 
+
+474
+00:51:43,170 --> 00:51:49,430
+ويرسب هنا ويرسب هنا ويرسب هنا ويرسب هنا ويرسب 
+
+475
+00:51:49,430 --> 00:51:56,160
+هنا ويرسب هنا ويرسب هنا ويرسب هنا اللي هي الرأسي
+
+476
+00:51:56,160 --> 00:52:02,140
+وبيرسب مكونة الـ Delta تبعته، إذًا التضاريس أيضًا
+
+477
+00:52:02,140 --> 00:52:11,240
+تأثير على الجريان النهري، الجريان النهري عشان 
+
+478
+00:52:11,240 --> 00:52:15,880
+هيك بنشوف نهر النيل العظيم اللي بينبع من هضبة
+
+479
+00:52:15,880 --> 00:52:23,000
+الحبشة من بحيرة... No، الحبشة 
+
+480
+00:52:26,940 --> 00:52:31,560
+البحيرة اللي في... بحيرة لأ، أنت قولي اللي هاتيلي
+
+481
+00:52:31,560 --> 00:52:35,600
+خيارات بقول 
+
+482
+00:52:35,600 --> 00:52:45,280
+الطانة، بحيرة الطانة حتى 
+
+483
+00:52:45,280 --> 00:52:51,600
+النهر بأثره في النقل عشان إيه كانشط في أوروبا على
+
+484
+00:52:51,600 --> 00:52:59,990
+سبيل المثال، النقلة النهرية، ونظر إلى خريطة أوروبا
+
+485
+00:52:59,990 --> 00:53:05,250
+يجدها شبكة عنكبوتية من المجاري المائية، يعني لو لم 
+
+486
+00:53:05,250 --> 00:53:10,670
+توجد اللي هي الطرق البرية لاستغنى الإنسان عنها
+
+487
+00:53:10,670 --> 00:53:20,850
+بالطرق النهرية، الطرق لكن نهر بصوف البحر نجده
+
+488
+00:53:20,850 --> 00:53:22,990
+بأثر الإرسابات 
+
+489
+00:53:25,370 --> 00:53:30,670
+على إيش؟ المينا، على... المينا دايمًا بتكون المينا
+
+490
+00:53:30,670 --> 00:53:36,750
+القريبة من مصبات الأنهار، تحتاج لإيش؟ إصلاح مستمر
+
+491
+00:53:36,750 --> 00:53:46,170
+... إصلاح مستمر عشان
+
+492
+00:53:46,170 --> 00:53:50,750
+إيه بنقول تقوم الزراعة ناجحة على ضفاف الأنهار، إذا 
+
+493
+00:53:50,750 --> 00:53:55,170
+كانت الأنهار تجري في مناطق حارة تنشط الزراعة اللي 
+
+494
+00:53:55,170 --> 00:54:06,550
+هي المدارية سواء كان الأرز أو القطن ل... أيوة كده
+
+495
+00:54:06,550 --> 00:54:11,350
+نصل
+
+496
+00:54:11,350 --> 00:54:16,730
+عند المناخ... نصل عند المناخ وبارك الله فيكم
+
+497
+00:54:16,730 --> 00:54:19,350
+وزادكم سعادة
+
+498
+00:54:21,260 --> 00:54:25,560
+شو حكيت؟ وإلى لقاء آخر إن شاء الله
diff --git a/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/LdodXhiIdiw_raw.srt b/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/LdodXhiIdiw_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..8f6282f757c05a8c381125741f8013f96aa319f7
--- /dev/null
+++ b/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/LdodXhiIdiw_raw.srt
@@ -0,0 +1,2012 @@
+1
+00:00:09,780 --> 00:00:14,860
+بسم الله الصلاة والسلام على رسول الله اللهم إننا
+
+2
+00:00:14,860 --> 00:00:22,440
+نسألك الخير الجزيء رب شرحلي صدري ويسرلي أمري و
+
+3
+00:00:22,440 --> 00:00:29,020
+أحلل أقدة من لسانيتكملة لما سبق من مواضيع الجغرافي
+
+4
+00:00:29,020 --> 00:00:33,860
+الاقتصادية والعوامل المؤثرة في استغلال الموارد
+
+5
+00:00:33,860 --> 00:00:39,640
+الاقتصادية اخدنا العامل الاول هو الموقع الجغرافي
+
+6
+00:00:39,640 --> 00:00:44,540
+الموقع الجغرافي وقلنا يتحدد قيمة الموقع الجغرافي
+
+7
+00:00:44,540 --> 00:00:48,460
+او الموارد الاقتصادية بناء على الموقع الجغرافي
+
+8
+00:00:48,460 --> 00:00:53,340
+يتحددقيمة الموارد الاقتصادي بناء على الموقع
+
+9
+00:00:53,340 --> 00:00:59,300
+الجغرافي وتشعبنا في ذلك كثيرا العمل التاني هو
+
+10
+00:00:59,300 --> 00:01:06,980
+توزيع اليابس والماء وقلنا انه نصف الكورة الشمالي
+
+11
+00:01:06,980 --> 00:01:10,840
+اليابس اكتر من الماء ونصف الكورة الجنوبي الماء
+
+12
+00:01:10,840 --> 00:01:16,240
+اكتر من اليابس وهذا اثر على توزيع الموارد
+
+13
+00:01:16,240 --> 00:01:24,220
+واستغلالهااليوم العامل التالت هو البنية والتكوين
+
+14
+00:01:24,220 --> 00:01:31,520
+الجيولوجي Structure of the land ما المقصود بالبنية
+
+15
+00:01:31,520 --> 00:01:38,480
+الجيولوجية؟ ما المقصود بالبنية الجيولوجية؟هي
+
+16
+00:01:38,480 --> 00:01:42,060
+الصورة اللتي اظهر عليها بناء فطف الارض سواء كانت
+
+17
+00:01:42,060 --> 00:01:47,300
+في شكل كوتر متنابعة أو رقصية أو رقصية بيصابتها في
+
+18
+00:01:47,300 --> 00:01:51,240
+إيدي سرات أو بيطيط على ودع الناقص وكل ذلك من شأنه
+
+19
+00:01:51,240 --> 00:01:55,700
+أنه يؤثر على الدنيا إذا هي الصورة اللتي عليها
+
+20
+00:01:55,700 --> 00:02:00,360
+الأرض البنية هي الصورة اللتي عليها إيش الأرض احنا
+
+21
+00:02:00,360 --> 00:02:05,900
+قلنا زمان ان في طور التشكيل الأرض
+
+22
+00:02:06,440 --> 00:02:12,380
+تحولت من حالة غزية لحالة سائلة ثم حالة صلبة ما نتج
+
+23
+00:02:12,380 --> 00:02:18,380
+عن هذا التطور في شكله الحالي هو اللذي نطلق عليه
+
+24
+00:02:18,380 --> 00:02:23,850
+اسم البنية الجيولوجيةكيف تكونت هذا البنية
+
+25
+00:02:23,850 --> 00:02:29,490
+الجيولوجية بالشكلها النهائي سواء كان فقيا او رأسيا
+
+26
+00:02:29,490 --> 00:02:35,290
+وما حدث فيها من حركات التوائية او انكسارية عارفين
+
+27
+00:02:35,290 --> 00:02:44,070
+الشكل الالتوائي هو ايش؟ او الانكسار خدته؟ خدته في
+
+28
+00:02:44,070 --> 00:02:49,030
+الجيографيا الطبيعية يعني في عندي التوائيات متنوعة
+
+29
+00:02:49,030 --> 00:02:57,030
+وانكسارات ايضامتنوعة طيب ما الفائدة التي تكتسب من
+
+30
+00:02:57,030 --> 00:03:05,590
+الانكسارات؟ ما الفائدة المكتسبة من حدوث الانكسار
+
+31
+00:03:05,590 --> 00:03:13,170
+حدث
+
+32
+00:03:13,170 --> 00:03:18,350
+انكسار في القشرة الأرضية شو المستفيد من هذا
+
+33
+00:03:18,350 --> 00:03:19,230
+الانكسار؟
+
+34
+00:03:22,100 --> 00:03:26,860
+المعدن البطني يتزر على سطح الأرض يعني لما يكون
+
+35
+00:03:26,860 --> 00:03:30,960
+عندى الانكسار الهابط أو الصعيد على سبيل المثال
+
+36
+00:03:30,960 --> 00:03:39,400
+أخدتول انكسار الهابط و الصعيد يعني مثلا بكون
+
+37
+00:03:39,400 --> 00:03:43,900
+عندى بهذا الشكل السطح الأرض هذه الطبقات تحت الأرض
+
+38
+00:03:43,900 --> 00:03:50,100
+فبنلاقيإذا كان ساعدا الطبقات الأرض هذه كلها مالها
+
+39
+00:03:50,100 --> 00:03:57,960
+تصعد إلى أعلى وإذا كان حابب أيضا الطبقة الأخرى
+
+40
+00:03:57,960 --> 00:04:02,800
+اللي بتظهر اللي هي إذا كان فيها تركيب معدنية
+
+41
+00:04:02,800 --> 00:04:10,860
+كالنفط أو الحديد أو الذهب أو أخلاق ماشي طيب إذا
+
+42
+00:04:10,860 --> 00:04:19,990
+البنية الجيولوجيةهي الصورة اللتي عليها الأرض وما
+
+43
+00:04:19,990 --> 00:04:25,010
+يحدث فيها من انكسرات والتواءة كل هذا علشان يؤثر
+
+44
+00:04:25,010 --> 00:04:30,070
+على الإنتاج
+
+45
+00:04:30,070 --> 00:04:34,490
+كل هذا
+
+46
+00:04:34,490 --> 00:04:39,530
+علشان يؤثر على الإنتاج أما التكوين الجيولوجي فهو
+
+47
+00:04:54,590 --> 00:04:59,570
+مية المية التكوين الجيولوجي هي الصورة التي عليها
+
+48
+00:04:59,570 --> 00:05:06,350
+الصخور وأنواعها كام نوع عنده في الصخور تلات أنواع
+
+49
+00:05:06,350 --> 00:05:11,010
+صخور نارية ومتحولة
+
+50
+00:05:11,010 --> 00:05:17,660
+ورسوبييعني أنا برتب الصخور حسب النشا حسب النشا
+
+51
+00:05:17,660 --> 00:05:23,700
+الصخور النارية هي من أقدم الصخور التي تكونت و
+
+52
+00:05:23,700 --> 00:05:29,940
+تشكلت في سطح الأرض كيف؟ قلنا لما بدأت تتشكل معالم
+
+53
+00:05:29,940 --> 00:05:35,000
+الكرة الأرضية أو الأرض بدأت المعادن الثقيلة هي
+
+54
+00:05:35,000 --> 00:05:42,300
+التي تترسب في قاع المكان و معادن هي أفقل وزناها
+
+55
+00:05:43,240 --> 00:05:46,480
+فتحولت هذه إلى ما يُعرف بالسخور النارية سخور
+
+56
+00:05:46,480 --> 00:05:55,000
+النارية ثم حدث إرسابات بعد ذلك فوقها أو طغيان مائي
+
+57
+00:05:55,000 --> 00:06:01,320
+على هذه السخور النارية ملايين السنين من المؤكد أن
+
+58
+00:06:01,320 --> 00:06:08,260
+الخصائص الطبيعية لهذه السخور بدأت تتغير بدأت سواء
+
+59
+00:06:08,260 --> 00:06:16,560
+كانت بالضغط الشديد عليها أوبارتفاع درجة حرارتها
+
+60
+00:06:16,560 --> 00:06:22,840
+شوف الإنسان لما ترتفع درجة حرارته درجة واحدة كده
+
+61
+00:06:22,840 --> 00:06:27,060
+درجة حرارة الإنسان سبعة أو تلاتين درجة هذه
+
+62
+00:06:27,060 --> 00:06:31,840
+الاعتمادية لكن تشوفوا إذا صارت تمنية و تلاتين أو
+
+63
+00:06:31,840 --> 00:06:38,000
+تسعة و تلاتين على طول بيلزم مراجعة الطبيب صح فما
+
+64
+00:06:38,000 --> 00:06:44,040
+بالكم إذا كانت هذه درجات الحق عالية جدابألاف
+
+65
+00:06:44,040 --> 00:06:51,120
+الدرجات المئوية في الصخور هتؤدي لتغيره عشان هيك
+
+66
+00:06:51,120 --> 00:06:57,220
+بنلاقي كثير من الصخور تحولت من طبيعتها إلى صخور
+
+67
+00:06:57,220 --> 00:07:04,580
+متغيرة زي الجرانيت مثلا و الشيست والكوارتزين
+
+68
+00:07:04,580 --> 00:07:10,400
+البازل نتيجة لأرتفاع الحرارة والضغط الشديد النوع
+
+69
+00:07:10,400 --> 00:07:16,630
+التالت من الأخرى الصخورالرسوبية الصخور الرسوبية
+
+70
+00:07:16,630 --> 00:07:23,810
+تتوزع على شكل أو على شكل واسع في الكورة الأرضية
+
+71
+00:07:23,810 --> 00:07:31,770
+طبعا هذا التتابع في الصخور بد عصور وأزمنة يعني أنا
+
+72
+00:07:31,770 --> 00:07:38,600
+عند الزمن الأول يتهي في البرمي و الفحميالزمن
+
+73
+00:07:38,600 --> 00:07:43,340
+التاني اللي هو فيه لترياسي والجوراسي والكريتاسي
+
+74
+00:07:43,340 --> 00:07:48,220
+والزمن التالت اللي بتسميه زمن الميوسينات والزمن
+
+75
+00:07:48,220 --> 00:07:55,080
+الرابع اللي هو بينقسم إلى عصرين ال بلايستوسين اللي
+
+76
+00:07:55,080 --> 00:07:59,660
+هو مطير وجريد والهولسين اللي هو العصر الحديث
+
+77
+00:07:59,660 --> 00:08:05,280
+السخور في الكرة الأرضية تكونت عبرالأزمنة هذه وأن
+
+78
+00:08:05,280 --> 00:08:12,660
+كل صخر كان له زمنه زي ما كنا نطلق عصور على المعادل
+
+79
+00:08:12,660 --> 00:08:15,600
+المكتشفة فيها كالعصر الحديدي والعصر البرونزي
+
+80
+00:08:15,600 --> 00:08:23,280
+والعصر النحاسي فهذا كله تكون عبر ملايين السنين سطح
+
+81
+00:08:23,280 --> 00:08:25,640
+الأرض يتكون من ثلاث أنواع صخور رئيسية اللي أنا
+
+82
+00:08:25,640 --> 00:08:30,780
+حاكيناها طبعا تمتاز الصخور النارية بقوة صلبتها
+
+83
+00:08:30,780 --> 00:08:37,100
+بقوةبحيث أنه لما تأتي أكسر الصخر بيخرج منه شرار
+
+84
+00:08:37,100 --> 00:08:43,200
+نيران من صلبته عشانك
+
+85
+00:08:43,200 --> 00:08:48,700
+بنلاقي الصخور النارية خالية من الحفريات ليش خالية
+
+86
+00:08:48,700 --> 00:08:54,360
+من الحفريات؟ صلبة نارية وأي نبات أو حيوان سيعيش في
+
+87
+00:08:54,360 --> 00:09:00,160
+المناطق الصلبة هذه لأن مافي .. مافي
+
+88
+00:09:02,630 --> 00:09:11,170
+عشان هيك بنلاقي دايما في الجدل الصفصطائي عن ايهما
+
+89
+00:09:11,170 --> 00:09:16,650
+اول البيضة ام الدجاجة؟
+
+90
+00:09:16,650 --> 00:09:24,610
+البيضة ام الدجاجة؟ فضله احكوا البيضة اولا كيف؟
+
+91
+00:09:27,440 --> 00:09:29,800
+شوفوا كيف هيصار عندنا الجدل الصفستائي زي ما
+
+92
+00:09:29,800 --> 00:09:33,360
+بيقولوا شو الجدل الصفستائي؟ هو الذي لا يوصل إلى
+
+93
+00:09:33,360 --> 00:09:38,620
+نتيجة الجدل الصفستائي بيتسميه ايش؟ الذي لا يوصل
+
+94
+00:09:38,620 --> 00:09:49,240
+إلى نتيجة لكن هي صح البيضة أولا البيضة أولا ثم أن
+
+95
+00:09:49,240 --> 00:09:56,560
+المقابل الدجاج البيضا هي التي تاتي بالدجاجة طيب
+
+96
+00:09:56,900 --> 00:10:01,900
+والدجاجة هي اللي تأتي بالبيضة لكن التطور الزمني
+
+97
+00:10:01,900 --> 00:10:08,540
+للأحيان بدأ في الزمن التاني بدأ في إيش؟ في الزمن
+
+98
+00:10:08,540 --> 00:10:17,580
+التاني اللي هو إيش بيسميه عصور المائيات الاترياسي
+
+99
+00:10:17,580 --> 00:10:24,140
+والجوراسي والكريتاسي حدث طغيان هائل للمي على الكرة
+
+100
+00:10:24,140 --> 00:10:32,860
+الأرضيةيعني غطت اليابسة بالمياه واحنا بنشوف لما
+
+101
+00:10:32,860 --> 00:10:38,740
+نعمل اي بقعة مياه بنشوف علي اليابسة سبعين تلاتة
+
+102
+00:10:38,740 --> 00:10:45,060
+تتكون فيها حيوانات مائية حيوانات مائية فبدت تتكون
+
+103
+00:10:45,060 --> 00:10:50,500
+في الزمن التاني الحيوانات او الكائنات البحرية هذه
+
+104
+00:10:50,500 --> 00:10:56,020
+الكائنات البحريةفي زمن انحصار الميه عن اليابسه
+
+105
+00:10:56,020 --> 00:11:03,160
+كانت أحيانا تخرج اليابسه فإن استطاب لها الأمر عاشت
+
+106
+00:11:03,160 --> 00:11:10,520
+فبدأت تلمو و تتكاثر الحيوانات البريه إذا ما
+
+107
+00:11:10,520 --> 00:11:15,080
+استجابش لها الأمر رجعت إلى الميه فوجدنا حيوانات
+
+108
+00:11:15,080 --> 00:11:22,590
+مائية و حيوانات ايش بينهماكائنات كانت تستجم في
+
+109
+00:11:22,590 --> 00:11:26,210
+اليابسة ثم تعود إلى الميّه في سميحة و نتبر ميه
+
+110
+00:11:26,210 --> 00:11:34,410
+طبعا الأسماك تبيض صح فالبيضة كانت تنمو تدريجيا و
+
+111
+00:11:34,410 --> 00:11:38,990
+هذا الكلام ملايين السنين فبدأت
+
+112
+00:11:38,990 --> 00:11:45,410
+تتطور و هذه نظرية داروين للتطور نظرية داروين لتطور
+
+113
+00:11:45,410 --> 00:11:51,030
+الأشياءزي ما بيقول إن الإنسان فعلا هو ابن البيئة،
+
+114
+00:11:51,030 --> 00:11:56,570
+أيضا الكائنات هي ابن للبيئة، ماشي؟ فبدأت ت .. و
+
+115
+00:11:56,570 --> 00:11:59,490
+طبعا اليوم في المفهوم الاجتماعي، البيضة الكبيرة
+
+116
+00:11:59,490 --> 00:12:05,570
+تأتي ب .. ببيضة كبيرة أو كتكوت كبير، صح؟ و الإنسان
+
+117
+00:12:05,570 --> 00:12:11,000
+الكبير يأتي بإنسان أيضا إذا كانت هناكأما ما حدث في
+
+118
+00:12:11,000 --> 00:12:16,000
+زمن نوح عليه السلام فهي قضية دينية ليس لها مقام
+
+119
+00:12:16,000 --> 00:12:21,800
+عندها، لأ، ماشي؟ لما قالوا وصلك فيها من كل الزوجين
+
+120
+00:12:21,800 --> 00:12:30,200
+إثنين هذا التنوع في الصخور عكس أثره على التنوع
+
+121
+00:12:30,200 --> 00:12:33,520
+التربة ما هي التربة؟
+
+122
+00:12:36,420 --> 00:12:41,820
+هذا التنوع في السخور عكس أثره على تكوين التربة، ما
+
+123
+00:12:41,820 --> 00:12:47,180
+المقصود بالتربة؟ برافو
+
+124
+00:12:47,180 --> 00:12:54,900
+عليك أو بمعنى أخر، ما هي التربة؟
+
+125
+00:12:54,900 --> 00:13:02,040
+فضليه هي الطبقة السطحية التي تعلوا السخر و يختلف
+
+126
+00:13:02,040 --> 00:13:07,890
+سمكها من مكان إلى آخروالمفتةة التي يغرس فيها
+
+127
+00:13:07,890 --> 00:13:13,850
+النبات جزوره وتكون غنية بالمواد العضوية أو
+
+128
+00:13:13,850 --> 00:13:20,710
+المعدنية حسب طبيعة الصخر حسب طبيعة الصخر عشانك
+
+129
+00:13:20,710 --> 00:13:26,350
+بنلاقي كثير من الترابات لا تصلح للزراعة لارتفاع
+
+130
+00:13:26,350 --> 00:13:34,780
+العنصر الأساسي المكون لها خاصة الأملع ماشي؟ طيبو
+
+131
+00:13:34,780 --> 00:13:42,220
+هناك سخور غنية جدا بالفحم أو الحديد بالفحم أو
+
+132
+00:13:42,220 --> 00:13:46,840
+الحديد طبعا الفحم قلنا حصل في أواخر الزمن اللي هي
+
+133
+00:13:46,840 --> 00:13:53,280
+الفحم و أوائل البرمي أواخر الزمن الأول العصرين
+
+134
+00:13:53,280 --> 00:14:00,440
+هدول الفحم و البرمي أواخر الزمن الأول طب ماذا أفهم
+
+135
+00:14:00,440 --> 00:14:10,500
+من تكون الفحمواكتشافه في أواخر الزمن الأول حتى
+
+136
+00:14:10,500 --> 00:14:13,380
+سموا الأحد عصور اللي هو اللي اكتشف فيها الفحم
+
+137
+00:14:13,380 --> 00:14:21,780
+الكربوني أو الفحم أفضل من هذا أنه كان هناك حياة
+
+138
+00:14:21,780 --> 00:14:33,640
+كثيفة من النباتات تكونت في الطبيعةثم حدث تغير
+
+139
+00:14:33,640 --> 00:14:39,580
+مناخي، طمرت هذه النباتات، و مع ارتفاع الحرارة، لأن
+
+140
+00:14:39,580 --> 00:14:44,540
+القاعدة بتقول إن كل ما نزلنا إلى أسفل بطل أرتب تفت
+
+141
+00:14:44,540 --> 00:14:49,500
+درجة، فتفحمت تلك النباتات
+
+142
+00:15:02,150 --> 00:15:07,450
+تفحمت تلك النباتات أيضًا نفس الكلام على زهور
+
+143
+00:15:07,450 --> 00:15:15,310
+البترول في أماكن مختلفة من سطح الكورة الأرضية
+
+144
+00:15:15,310 --> 00:15:20,570
+والبترول هو كامله
+
+145
+00:15:27,850 --> 00:15:34,550
+هو ناتج من تحلل المواد عضوية نباتية و حيوانية لأن
+
+146
+00:15:34,550 --> 00:15:41,930
+زهور النبات معناه ايه؟ زهور حيوانات أكلة لتلك
+
+147
+00:15:41,930 --> 00:15:48,690
+النباتات، صح؟ لأن قضية المستهلكات اللي أخدتها في
+
+148
+00:15:48,690 --> 00:15:55,880
+العلوم متدرجة، صح؟كل جنس يعتمد على .. عشانك بنلاقي
+
+149
+00:15:55,880 --> 00:16:00,700
+النظام الغذائي، ماشي؟ فزهور النباتات ثم زهور
+
+150
+00:16:00,700 --> 00:16:05,320
+الحيوانات بشكل كثيف وتغير الزمن بملايين السنين
+
+151
+00:16:05,320 --> 00:16:11,920
+أيضا وانطمار تلك المكونات النباتية والحيوانية
+
+152
+00:16:11,920 --> 00:16:18,540
+تحللت بفعل الزمن إلى النفط إلى إيش؟ النفط
+
+153
+00:16:20,960 --> 00:16:25,720
+عشان هيك بنلاقي كثير من الدول غنية جدا بالفحم ودول
+
+154
+00:16:25,720 --> 00:16:32,160
+كثيرة غنية جدا بالبترول من
+
+155
+00:16:32,160 --> 00:16:36,520
+زمان قولنا ان توزيع المعادن في الكورة الأرضية هو
+
+156
+00:16:36,520 --> 00:16:46,240
+غير متساوي، غير متساوي للتذكير، لماذا هذا التوزيع
+
+157
+00:16:46,240 --> 00:16:49,940
+غير المتساوي؟
+
+158
+00:16:51,220 --> 00:16:57,300
+فدّالي يعني، من حالة غزية لحالة ثابتة، من حالة
+
+159
+00:16:57,300 --> 00:17:03,580
+سائلة لحالة إيش؟ فكانت كل خصائص معدن تتجمع مع
+
+160
+00:17:03,580 --> 00:17:09,860
+بعضها، كل خصائص معدن تتجمع مع بعضها، فنجد إن
+
+161
+00:17:09,860 --> 00:17:16,640
+الحديد تركز في مناطق والبترول يتركز في مناطق وها
+
+162
+00:17:16,640 --> 00:17:16,880
+كده
+
+163
+00:17:21,290 --> 00:17:29,250
+هذه المعادن كلها أدت إلى انتشار الصناعة في العالم
+
+164
+00:17:29,250 --> 00:17:48,030
+انتشار الصناعة في العالم طيب
+
+165
+00:17:48,030 --> 00:17:53,420
+تشوفيش الأرقام اللي عندي هذهالأول بنلاقي أن
+
+166
+00:17:53,420 --> 00:17:57,080
+الولايات المتحدة الأمريكية وروسيا والصين وبولندا
+
+167
+00:17:57,080 --> 00:18:02,200
+وبريطانيا والمانيا بتنتج 75% من الإنتاج العالمي
+
+168
+00:18:02,200 --> 00:18:09,460
+لإيش؟ للفحم للفحم الحديد
+
+169
+00:18:11,900 --> 00:18:16,980
+لا يستغل منه تجارين إلا نحو 45 دولة، تنتج روسيا
+
+170
+00:18:16,980 --> 00:18:19,360
+والولايات المتحدة والسوراليا والفرنسا والهند
+
+171
+00:18:19,360 --> 00:18:23,240
+والسويد وأسبانيا وكندا، 75% من إنتاج العالم
+
+172
+00:18:23,240 --> 00:18:29,160
+الحديد، يعني دول أقل من عشرة يتركز فيها تلت ارباع
+
+173
+00:18:29,160 --> 00:18:34,820
+الإنتاج العالمي، سواء كان من الفحم أو من الحديدو
+
+174
+00:18:34,820 --> 00:18:40,320
+مدام وجد عندى فحم و حديد مباشرة عندى صناعة الحديد
+
+175
+00:18:40,320 --> 00:18:51,260
+والصل صناعة الحديد والصل اذا
+
+176
+00:18:51,260 --> 00:18:59,700
+التكوين الجيولوجي عرفني على المعادن المتوطنة في
+
+177
+00:18:59,700 --> 00:19:08,170
+هذا التركيب فاهمه؟الترتيب الجيولوجي فهمني ووضّح لي
+
+178
+00:19:08,170 --> 00:19:16,630
+المعادن الموجودة في هذه السفورة العامل التاني اللي
+
+179
+00:19:16,630 --> 00:19:22,370
+احنا هندرسه اليوم والرابع على مستوى العوامل هو
+
+180
+00:19:22,370 --> 00:19:26,590
+مظاهر السطح Relief Relive
+
+181
+00:19:30,870 --> 00:19:39,290
+عمل التدريس لما نتكلم عن التدريس مباشرة بقول جبال
+
+182
+00:19:39,290 --> 00:19:48,550
+هضاب سهول هضاب جبال سهول فاهمنا طيب ما تعريف الجبل
+
+183
+00:19:48,550 --> 00:19:54,610
+فضلين لها
+
+184
+00:19:54,610 --> 00:19:58,970
+تزيد عن الف متر هو مكان مرتفع
+
+185
+00:20:01,630 --> 00:20:05,710
+له قمة و يزيد عن الف متر طب مكان مرتفع و ليس له
+
+186
+00:20:05,710 --> 00:20:12,790
+قمة هضبع أما السهل فهو مكان متبسط مكان يسهل
+
+187
+00:20:12,790 --> 00:20:19,750
+استغلاله ما هو أثر هذا التوزيع التدريسي على
+
+188
+00:20:19,750 --> 00:20:23,190
+المعادن
+
+189
+00:20:23,190 --> 00:20:29,590
+واستغلالها ما هو أثر هذا التوزيع التدريسي على إيش؟
+
+190
+00:20:30,120 --> 00:20:34,660
+استغلال المعادل،
+
+191
+00:20:34,660 --> 00:20:41,920
+بس معلومة قبل ما .. يعني حتى توزيع التداريس، جبال،
+
+192
+00:20:41,920 --> 00:20:49,460
+هضاب، سهول، أثر على ناحية الاجتماعية أيضا، أثر على
+
+193
+00:20:49,460 --> 00:20:53,800
+ناحية ايش؟ اجتماعية، يعني شوفوا الجغرافيا هي
+
+194
+00:20:53,800 --> 00:21:01,660
+القاعدة التي تنطلق منها كافة العلوميعني شوفوا ابن
+
+195
+00:21:01,660 --> 00:21:07,040
+خالدون في كتابه في علم الاجتماع قال لك ليه
+
+196
+00:21:07,040 --> 00:21:13,260
+التضاريس أثر حتى في مزاج الإنسان صحيح
+
+197
+00:21:13,260 --> 00:21:21,380
+في بنيته الجسدية أيضا بنلاقي إنسان الجبال يمتاز
+
+198
+00:21:21,380 --> 00:21:27,680
+بالقوة والنحافة لأنه دايما يتسلق إنسان السهول
+
+199
+00:21:27,680 --> 00:21:36,240
+يمتاز بالإيش بالبدانةلأنه دايما اتحركش كتير، إنسان
+
+200
+00:21:36,240 --> 00:21:41,780
+الصحاري يمتاز بالصبر والحدة،
+
+201
+00:21:41,780 --> 00:21:49,500
+إذا للطبيعة أيضا دور كبير في التأثير على طبيعة
+
+202
+00:21:49,500 --> 00:21:53,040
+الإنسان، أما ناحية الصحاري هنشوف، وتأثير على
+
+203
+00:21:53,040 --> 00:22:03,870
+المعادن، تفضلي، انت انتأحكي أحكي يعني انا
+
+204
+00:22:03,870 --> 00:22:09,830
+قلت من مرة فاتت كلكم هخليكم أتحكوا فضل كاملة ليش
+
+205
+00:22:09,830 --> 00:22:13,150
+طيب؟ طيب
+
+206
+00:22:16,570 --> 00:22:19,870
+أكيد إنه المطاهر الترددسية اللي أحكينا عنها من
+
+207
+00:22:19,870 --> 00:22:23,690
+زهور للضوء وجبان بتأثر على الانتجة الأقتصادية هذا
+
+208
+00:22:23,690 --> 00:22:28,690
+و هذا التباين بيأثر في تنمية دروف المناخية وغطاءات
+
+209
+00:22:28,690 --> 00:22:32,970
+نباتية ومجموعات حبانية فإنه من خلال الجداول اللي
+
+210
+00:22:32,970 --> 00:22:38,600
+يعني موجودها فيتضح إن نسبة الزهورهي أعلى نسبة حتى
+
+211
+00:22:38,600 --> 00:22:42,840
+بتسجل واخده 2000% وإن .. المجموع ليابس وإنه كمان
+
+212
+00:22:42,840 --> 00:22:46,800
+الجبال هي أقل نسبة حتى بتسجل 12% وهذا بيساعد على
+
+213
+00:22:46,800 --> 00:22:50,520
+استغلال السهول ويعني بتكون أراضي صالحة للزراعة
+
+214
+00:22:50,520 --> 00:22:54,220
+وأيضا متأثر أشكال سطح الأرض على نشاط البشرية فإنه
+
+215
+00:22:54,220 --> 00:22:58,640
+احنا يعني الزراعة بتسهل أنه زراعتها على السهول
+
+216
+00:22:58,640 --> 00:23:01,920
+لتوافر الإمكانيات أنا على الجبال فإنه بيصعب أنه
+
+217
+00:23:01,920 --> 00:23:09,250
+نزرع ولكن وجدأ التطور إن زراعتكمدرجات ممتازة يعني
+
+218
+00:23:09,250 --> 00:23:14,470
+شوف ربنا سبحانه وتعالى لما خلف الطبيعة ايضا خلقها
+
+219
+00:23:14,470 --> 00:23:23,330
+عشان الانسان يستغلها وما يصعبش ما يصعبش فلما نيجي
+
+220
+00:23:23,330 --> 00:23:29,000
+نشوف الجدول اللي هو عندهامن توزيع التداريس على
+
+221
+00:23:29,000 --> 00:23:34,640
+الكورة الأرضية نجد على سبيل المثال في القارات أن
+
+222
+00:23:34,640 --> 00:23:43,640
+أسيا 32% من مساحتها سول طب قداش مساحة أسيا 32% من
+
+223
+00:23:43,640 --> 00:23:52,840
+العالم لأ هي
+
+224
+00:23:52,840 --> 00:23:58,770
+أكبر قارة من حيث المساحةأكبر قارة من حيث المساحة
+
+225
+00:23:58,770 --> 00:24:05,630
+سنة كام انتوا؟ طيب يعني يفترض خدتوها في البشرية بس
+
+226
+00:24:05,630 --> 00:24:11,810
+استوها طيب مش هقولكم مساحتها علشان يفترض ان روحوا
+
+227
+00:24:11,810 --> 00:24:17,950
+تبحثوا عنها والمعلومة التي تبحثون عنها مالها بتظل
+
+228
+00:24:17,950 --> 00:24:32,290
+راسي خفي أدمغتكم 32% سهول24% هضاب 24% تلال و 20%
+
+229
+00:24:32,290 --> 00:24:40,030
+جبال ما الفرق بين التلال و الجبال ما الفرق بين
+
+230
+00:24:40,030 --> 00:24:46,890
+التلال و الجبال التل
+
+231
+00:24:46,890 --> 00:24:48,270
+هو ما ليس بجبل
+
+232
+00:24:56,870 --> 00:25:06,790
+ممكن ممكن التل هو ما ليس بجبل و غزة كانت تكثر بيها
+
+233
+00:25:06,790 --> 00:25:12,530
+التلال الرملية على شاطئها الجميل على شاطئها أيش؟
+
+234
+00:25:12,530 --> 00:25:20,650
+الجميل هذه التلال هي ما ليست بجبلكذلك الهضبة هي ما
+
+235
+00:25:20,650 --> 00:25:30,650
+ليست بجبل لكن التل ليس له قمة ليست له قمة والجبال
+
+236
+00:25:30,650 --> 00:25:39,490
+طب ربنا إيش بيقول عن الجبال؟
+
+237
+00:25:39,490 --> 00:25:50,710
+ممكن نعتبر التل هضبة بس الهضبة مكان متسعمكان متسع
+
+238
+00:25:50,710 --> 00:25:56,250
+بس التل يعني بالظبط انا بشبه التل زي عربية الرمل
+
+239
+00:25:56,250 --> 00:26:00,850
+اللي بنزلها للاستخدام المنزل يعني هذا هو التل مش
+
+240
+00:26:00,850 --> 00:26:06,050
+بتعملي زي التل اه هذا هو التل يعني يختلف ارتفاعه
+
+241
+00:26:06,050 --> 00:26:10,950
+يمكن يصل ل 200 متر و 300 متر و 400 متر التل و خاصة
+
+242
+00:26:10,950 --> 00:26:15,990
+ان هناك ترقمات الرسوبية دايما تاتي عليه فات بنائية
+
+243
+00:26:15,990 --> 00:26:23,880
+بتسميهاماشي؟ بالنسبة للجبال ايش
+
+244
+00:26:23,880 --> 00:26:31,260
+ربنا بيقول عنها؟ رواسيا، ماشي؟ شامخان، و بعدين تمر
+
+245
+00:26:31,260 --> 00:26:40,180
+مر السحاب، صنع الله الذي أدخنه، ماشي تانيا جبل
+
+246
+00:26:40,180 --> 00:26:48,650
+عرفة، بنشوف الجبل؟ بنشوف الجبلهو عبارة عن تلة
+
+247
+00:26:48,650 --> 00:26:55,110
+صغيرة ربنا يجد يعطيكم الحج
+
+248
+00:26:55,110 --> 00:26:59,690
+ان شاء الله لماذا سمى بهذا الاسم؟ لماذا سمى جبل
+
+249
+00:26:59,690 --> 00:27:03,670
+عرفة بهذا الاسم؟
+
+250
+00:27:03,670 --> 00:27:08,850
+هو لماذا سمى بهذا الاسم؟ علميا أنا مش عايز اقول
+
+251
+00:27:08,850 --> 00:27:10,270
+انه ..
+
+252
+00:27:15,470 --> 00:27:20,990
+بنشوف عبارة عن تلة صغيرة الجبل علميا
+
+253
+00:27:20,990 --> 00:27:27,350
+ليس بجبل يعني ليس مكانا مرتفعا له قمة علميا ليس
+
+254
+00:27:27,350 --> 00:27:32,650
+بجبل هو سمى بعرفات في هذا الاسم أنا بقول هو علميا
+
+255
+00:27:32,650 --> 00:27:38,530
+الجبل مكان مرتفع يزيل عن الف متر ولو قمة أما جبل
+
+256
+00:27:38,530 --> 00:27:44,150
+عرفة أنا بشوف عبارة عن تلة صغيرة هضبة صغيرة لماذا
+
+257
+00:27:44,150 --> 00:27:45,130
+سميها بجبل؟
+
+258
+00:27:47,860 --> 00:27:52,180
+لماذا سمى بجبل؟
+
+259
+00:27:52,180 --> 00:27:58,000
+الجبل عارفة بتشوف في التليفزيون، هل له قمة؟ هل هو
+
+260
+00:27:58,000 --> 00:28:05,820
+مكان مرتفع؟ لماذا نطلق عليه اسم الجبل؟ اذا اسمه
+
+261
+00:28:05,820 --> 00:28:08,840
+DNA، bravo عليك، اسمه DNA
+
+262
+00:28:11,770 --> 00:28:18,050
+اسمهم DNA .. اسمهم DNA .. أوروبا .. شوفوا أوروبا
+
+263
+00:28:18,050 --> 00:28:25,430
+سعيدة و الحارة 67% من مساحتها سهول .. قداش مساحة
+
+264
+00:28:25,430 --> 00:28:29,850
+أوروبا
+
+265
+00:28:29,850 --> 00:28:40,540
+.. دي مساحتها بالكيلومتر8% هضعب شايفين كده؟ مافيش
+
+266
+00:28:40,540 --> 00:28:45,260
+هضعب كتير في أوروبا عشان هيك بنشوف السهول في
+
+267
+00:28:45,260 --> 00:28:49,720
+أوروبا في سهل عظيم في أوروبا اسمه سهل الأوروب
+
+268
+00:28:49,720 --> 00:28:54,400
+العظيم زي ما بقول الصحراء الكبرى في أهندي السهل
+
+269
+00:28:54,400 --> 00:29:03,280
+الأوروب العظيم 21% تلال 4% جبال إفريقيا 25% شايف؟
+
+270
+00:29:03,280 --> 00:29:10,770
+إفريقيا غلبانة كده عشان هي miserableأفريقيا ربع
+
+271
+00:29:10,770 --> 00:29:23,210
+مساحتها ايش؟ 71% هضاب 1% تلال 3% جبال قليل هذا كله
+
+272
+00:29:23,210 --> 00:29:31,770
+هو صحراء كمان قاحلة صحراء قاحلة أمريكا الشمالية 52
+
+273
+00:29:31,770 --> 00:29:44,180
+% fifty fifty 52%سهول 71% ايش و 24% هدار 11% تلال
+
+274
+00:29:44,180 --> 00:29:52,360
+13 جبال امريكا الجنوبية 56% ايضا اكتر من النصف 24%
+
+275
+00:29:52,360 --> 00:30:00,740
+9 تلال 11 جبال استراليا والجزر المحيطة بيها
+
+276
+00:30:00,740 --> 00:30:02,540
+بيسميها الاقينوسية
+
+277
+00:30:06,220 --> 00:30:13,080
+تختارت من النصف تختارت
+
+278
+00:30:13,080 --> 00:30:19,120
+من النصف تختارت
+
+279
+00:30:19,120 --> 00:30:21,800
+من النصف تختارت من النصف تختارت من النصف تختارت من
+
+280
+00:30:21,800 --> 00:30:21,820
+النصف تختارت من النصف تختارت من النصف تختارت من
+
+281
+00:30:21,820 --> 00:30:21,820
+النصف تختارت من النصف تختارت من النصف تختارت من
+
+282
+00:30:21,820 --> 00:30:21,820
+النصف تختارت من النصف تختارت من النصف تختارت من
+
+283
+00:30:21,820 --> 00:30:21,820
+النصف تختارت من النصف تختارت من النصف تختارت من
+
+284
+00:30:21,820 --> 00:30:21,820
+النصف تختارت من النصف تختارت من النصف تختارت من
+
+285
+00:30:21,820 --> 00:30:21,820
+النصف تختارت من النصف تختارت من النصف تختارت من
+
+286
+00:30:21,820 --> 00:30:25,960
+النصف تختارت من النصف تختارت من النصف تختارت من
+
+287
+00:30:25,960 --> 00:30:33,640
+النصف تختارت
+
+288
+00:30:33,640 --> 00:30:38,310
+من النصفجبال طبعا المصدر زي ما انتوا شايفينه
+
+289
+00:30:38,310 --> 00:30:42,830
+الدكتور أحمد علي أحمد هارون أسس الجغرافي
+
+290
+00:30:42,830 --> 00:30:47,870
+الإقتصادية موجود في المكتب 2010 يعني إصدار حديث
+
+291
+00:30:47,870 --> 00:30:52,910
+إصدار حديث
+
+292
+00:30:52,910 --> 00:31:05,070
+كيف تؤثر مظاهر الصفح على نشاط البشر كيف تؤثرأشكال
+
+293
+00:31:05,070 --> 00:31:25,610
+السطح على النشاط البشري، تفضلي انت عشان
+
+294
+00:31:25,610 --> 00:31:31,130
+هيك شوية مداخلة صغيرة، غالبيت سكان العالمبيتركزوا
+
+295
+00:31:31,130 --> 00:31:36,430
+في السهول يعني اكتر من 80% من سكان العالم يتركزوا
+
+296
+00:31:36,430 --> 00:31:43,570
+حيث السهول سواء كان سهول ساحلية او فيضية او كاملة
+
+297
+00:31:43,570 --> 00:31:56,190
+يعني
+
+298
+00:31:56,190 --> 00:32:02,500
+بمعنى ان هاي الجبال مش فيها طرقبنسميها طرق
+
+299
+00:32:02,500 --> 00:32:08,740
+التفافية على الجبل طرق التفافية التي تقام على
+
+300
+00:32:08,740 --> 00:32:15,920
+الجبال طرق التفافية يعني بدك تلف حوالين أين وردت
+
+301
+00:32:15,920 --> 00:32:24,040
+الطرق التفافية هذه أسمانها أسمانها كتير الطرق
+
+302
+00:32:24,040 --> 00:32:24,740
+التفافية
+
+303
+00:32:37,350 --> 00:32:45,830
+الطرق الاجتماعية تكثر في الطفل الغربي المحتلة حيث
+
+304
+00:32:45,830 --> 00:32:52,350
+قامت إسرائيل بشقها لإبعاد المسوطنين عن التجمعات
+
+305
+00:32:52,350 --> 00:32:56,770
+الفلسطينية فهمتوا؟
+
+306
+00:32:57,550 --> 00:33:03,930
+فالطرق على الجبال هي طرق التفافية .. طرق التفافية
+
+307
+00:33:03,930 --> 00:33:10,830
+.. كم ليه يا أستاذة؟ خلاص؟
+
+308
+00:33:10,830 --> 00:33:20,310
+طيب .. كمان مين بدأت تحكي؟ فضل يا خزانيتأثر أشكال
+
+309
+00:33:20,310 --> 00:33:24,550
+سطح الأرض على المشاطر البشري. أظن أن ترقبة
+
+310
+00:33:24,550 --> 00:33:28,730
+السوريين هي أكتر ملاقة من التجمع السوداني، حيث
+
+311
+00:33:28,730 --> 00:33:33,030
+أنها تتكفر الجثة السودانية على سرور، لإنها يسر
+
+312
+00:33:33,030 --> 00:33:38,190
+فيها الحركة والمشاطر البشري يزداد في السرور، بإذن
+
+313
+00:33:38,190 --> 00:33:42,950
+الأوروبا، زي ما أخدنا، إن فيها 67% سرور، ويظهر أن
+
+314
+00:33:42,950 --> 00:33:48,770
+السرور هي مناطق تعد بأن التربط فيها مزاد جدا،وأيضا
+
+315
+00:33:48,770 --> 00:33:53,710
+بعكس المناطق الجبلية يصعب إنشاء طرق دردية ومبتح
+
+316
+00:33:53,710 --> 00:33:59,390
+الخطوط و أيضا ينتشر على المناطق الجبلية بناء
+
+317
+00:33:59,390 --> 00:34:04,430
+الجزور و أيضا الطرق الانتقالية التي تقع على الجبل
+
+318
+00:34:04,430 --> 00:34:11,670
+برافو عليك، إذا لكل تداريس أو نوع من التداريس
+
+319
+00:34:11,670 --> 00:34:19,090
+النشاط الاقتصادي الملائم له كمان مرة؟لكل نوع من
+
+320
+00:34:19,090 --> 00:34:24,770
+أنواع التدريس النشاط الاقتصادي الملائم له فالسهول
+
+321
+00:34:24,770 --> 00:34:32,370
+قضية حتمية هي للزراع على سبيل المثال وما بنلاقيش
+
+322
+00:34:32,370 --> 00:34:36,630
+اي مشكلة سواء كانت في الزراع او في مدّ طرق
+
+323
+00:34:36,630 --> 00:34:41,730
+المواصلات او في المطارات او او الاخرين في استغلال
+
+324
+00:34:41,730 --> 00:34:48,190
+السهول فمن اسمها سهلة الاستغلالأما إذا كانت جبلية
+
+325
+00:34:48,190 --> 00:34:53,570
+فالزراعة تتطلب أن تتحول إلى مدرجات إلى مدرجات زي
+
+326
+00:34:53,570 --> 00:34:57,990
+ما بتشوف احنا في اليمن السعيد وفي جبال الطفة
+
+327
+00:34:57,990 --> 00:35:06,910
+الغربية طيب ما أثر التدريس على الأمطار أو على
+
+328
+00:35:06,910 --> 00:35:16,390
+المناخ ما أثر التدريس على الأمطار
+
+329
+00:35:17,420 --> 00:35:23,960
+ممكن المناطق اللي تقع مواجهة الجبال تكون المناطق
+
+330
+00:35:23,960 --> 00:35:26,760
+اللي تقع عليها أكتر شكل كبير أما اللي تقع في ظل
+
+331
+00:35:26,760 --> 00:35:29,980
+المطاردين مايكونش فيها مطارد كتير بالتالي الأوانين
+
+332
+00:35:29,980 --> 00:35:34,960
+اللي بيكون فيها زراعة ومشارات اقتصادية جميل 100%
+
+333
+00:35:34,960 --> 00:35:42,230
+نشوف تدريس فلسطين على سبيل المثالتدريس فلسطين لأنه
+
+334
+00:35:42,230 --> 00:35:46,490
+من رسالة الجامعة الإسلامية هي فلسطين المادة
+
+335
+00:35:46,490 --> 00:35:56,070
+العلمية فلسطين المادة العلمية Hi فلسطين ماشي
+
+336
+00:35:56,070 --> 00:35:59,590
+شو
+
+337
+00:35:59,590 --> 00:36:08,630
+بيسمي هذا ال finger إصبع الجليل ننزل و بعدين
+
+338
+00:36:08,630 --> 00:36:14,570
+بنلاقي إيشالبحر الميت؟ ليه سموه يا رولة ميت؟ لإن
+
+339
+00:36:14,570 --> 00:36:18,730
+مافيش فيه حياة لإن مافيش فيه حياة أبدا، مافيش فيه
+
+340
+00:36:18,730 --> 00:36:27,110
+إيش حياة أبدا طب قالوا فيه بكتيريا تعيش .. اه و
+
+341
+00:36:27,110 --> 00:36:34,190
+هذه البكتيريا مش كانت حية؟ اه طيب اليوم في عندي
+
+342
+00:36:34,190 --> 00:36:39,850
+فلسطينها سلسلة جمالية بنطبق عليها العمود الفقري
+
+343
+00:36:40,720 --> 00:36:47,300
+لفلسطين العمود الفقري لفلسطين وبالتالي بتلاقي أن
+
+344
+00:36:47,300 --> 00:36:57,880
+الجهة الغربية المواجهة للبحر المتوسط هي
+
+345
+00:36:57,880 --> 00:37:04,600
+التي تزخر بالأمطار لأن الأمطار عندي في فلسطين هي
+
+346
+00:37:04,600 --> 00:37:05,080
+..
+
+347
+00:37:08,830 --> 00:37:15,710
+جنوبية غربية بسبب الرياح ليش؟ العكسية ساموها عكسية
+
+348
+00:37:15,710 --> 00:37:22,410
+ليش؟ لأنها عكس التجارية، bravo عليه كمان فيه،
+
+349
+00:37:22,410 --> 00:37:26,090
+ساموها عكسية ليش؟
+
+350
+00:37:26,090 --> 00:37:31,950
+ليه ساموها عكسية كمان؟ طب أنا بدي أقولكوا، لأن في
+
+351
+00:37:31,950 --> 00:37:39,460
+نصف الكرة الشمالي في نصف الكرة الشماليبتكون جنوبية
+
+352
+00:37:39,460 --> 00:37:47,940
+ايش؟ غربية، جنوبية، غربية، في نصف الكرة الجنوبى
+
+353
+00:37:47,940 --> 00:37:57,160
+بتكون شمالية، غربية، أي أنها تسير عكس نصف الكرة
+
+354
+00:37:57,160 --> 00:38:00,220
+الرياح
+
+355
+00:38:00,220 --> 00:38:05,360
+كلها بشكل عام، هي رياح منتظمة على سطح الكرة
+
+356
+00:38:05,360 --> 00:38:06,100
+الأرضية
+
+357
+00:38:08,740 --> 00:38:14,500
+سميت عكسية لأنها تسير عكس نصف الكورة تسير عكس نصف
+
+358
+00:38:14,500 --> 00:38:18,580
+.. ليش؟ في نصف الكورة الشمالي بنقول عنها إيش؟
+
+359
+00:38:18,580 --> 00:38:24,200
+جنوبية غربية في نصف الكورة الجنوبي فهمت لماذا؟
+
+360
+00:38:24,200 --> 00:38:30,820
+فهمت؟ yes ماشي؟ طيب نيجي ل .. مدام إجين دخلنا على
+
+361
+00:38:30,820 --> 00:38:35,700
+الرياح قانون فعل على الرياح صح؟ أن الرياح تسير في
+
+362
+00:38:35,700 --> 00:38:42,070
+نصف الكورة إيش؟الشمالي يمين اتجاهي ها تعرفوها دي؟
+
+363
+00:38:42,070 --> 00:38:49,630
+كيف طيب؟ انمثل على ال .. الان الرياح خرجت من هنا
+
+364
+00:38:49,630 --> 00:38:56,170
+وين ناشيها؟ يمين اتجاه ولا يسار؟ يمين وصلت للحفة
+
+365
+00:38:56,170 --> 00:39:02,370
+النهائية وين نشيت؟ يمين ولا يسار؟ يمين صح؟ نزل
+
+366
+00:39:02,370 --> 00:39:09,470
+تاني لل .. يمين ولا يسار؟يمين لازلنا في نصف الكورة
+
+367
+00:39:09,470 --> 00:39:13,590
+الشمالية يمين دخلنا
+
+368
+00:39:13,590 --> 00:39:21,170
+نصف الكورة الجنوبية وين راحات؟ يسار، يسار، يسار،
+
+369
+00:39:21,170 --> 00:39:26,870
+صح؟ يسار، دخلنا نصف الكورة الشمالية؟ جمين، هكذا
+
+370
+00:39:26,870 --> 00:39:31,470
+هذه الدورة الهوائية على سطح الكورة الأرضية أنا في
+
+371
+00:39:31,470 --> 00:39:34,870
+نصف الكورة الشمالية تسير يمين تجاهها وفي نصف
+
+372
+00:39:34,870 --> 00:39:36,070
+الكورة الجنوبية يسار
+
+373
+00:39:38,770 --> 00:39:46,610
+أما الجهة الشرقية من جبال فلسطين فتقع في ظل المطر
+
+374
+00:39:46,610 --> 00:39:49,970
+بيسمي rain shadow
+
+375
+00:39:59,930 --> 00:40:07,530
+غرب فلسطين المحصور بين سلسلة الجبال وسط والبحر
+
+376
+00:40:07,530 --> 00:40:12,870
+المتوسط هي التي تزخر بالحياة تزخر؟ أما شرق فلسطين
+
+377
+00:40:12,870 --> 00:40:21,110
+ففقير في الحياة بالاستثناء بعض القرى الزراعية التي
+
+378
+00:40:21,110 --> 00:40:26,470
+تعتمد على مياه نهر الأردن وهناك مدينة رئيسية فيها
+
+379
+00:40:26,470 --> 00:40:33,440
+اسمهافي شرق فلسطين مدينة رئيسية لها شفرة عالمية
+
+380
+00:40:33,440 --> 00:40:39,980
+اسمها Areja Areja Rola الاسم الانجليزي ل Areja هي
+
+381
+00:40:39,980 --> 00:40:48,060
+Jericho Jericho فعلا فهمتوا؟ اذا لما نيجي نقول اثر
+
+382
+00:40:48,060 --> 00:40:52,760
+التداريس على الاستغلال في فلسطين نقول ان المناطق
+
+383
+00:40:52,760 --> 00:41:05,950
+السهلية هنا تستغل بالزراعةعلى الساحل ثم
+
+384
+00:41:05,950 --> 00:41:11,370
+تبدأ بالارتفاع كل ما اتجهنا شرقا فتحول الجبال الى
+
+385
+00:41:11,370 --> 00:41:16,450
+مدرجات مدرجات عشان هيك اللي بكرا ان شاء الله
+
+386
+00:41:16,450 --> 00:41:23,410
+تذهبون الى القدس بتشوفوا سلسلة جبال فلسطين مدرجات
+
+387
+00:41:23,410 --> 00:41:26,930
+مزروع عليها شجر الزيتون والخروم
+
+388
+00:41:28,910 --> 00:41:38,010
+في الغور اللى هو نهر الأردن طبعا تزرع البساتين
+
+389
+00:41:38,010 --> 00:41:43,490
+لأنها منطقة منخفضة
+
+390
+00:41:43,490 --> 00:41:52,170
+تعتمد الزراعة فيها على مياه نهر الأردن طيب
+
+391
+00:41:52,170 --> 00:41:59,720
+بالنسبة لأشعة الشمس في فلسطيناحنا بنشوف أحيانا
+
+392
+00:41:59,720 --> 00:42:05,080
+الجبال على سبيل المثال جبال الهيمانية في آسيا بهذا
+
+393
+00:42:05,080 --> 00:42:12,720
+الشكل نجد أن الجهة الجنوبية من هذه السلسلة أكثر
+
+394
+00:42:12,720 --> 00:42:19,300
+حياتا من الجهة الشمالية ليش طيب؟
+
+395
+00:42:24,770 --> 00:42:29,670
+لأن الجهة الجنوبية من المرتفعات في جبال همالايا و
+
+396
+00:42:29,670 --> 00:42:34,230
+القلب هي مواجهة أشعة الشمس لأن الشمس أقسم تداد
+
+397
+00:42:34,230 --> 00:42:43,910
+إلها مدار السلطان مدار تلاتة و عشان و نص تسارش إلى
+
+398
+00:42:43,910 --> 00:42:51,670
+الشمس فهذا بيسميها ضل الشمس ضل الشمس و طبعا مصدر
+
+399
+00:42:51,670 --> 00:42:58,630
+الحياةالشمس اللي بناخد منه الضوء اللازم لعملية
+
+400
+00:42:58,630 --> 00:43:02,970
+التمثيل للنبات
+
+401
+00:43:02,970 --> 00:43:14,070
+طب في فلسطين وين المناطق اللتي تقع في ظل الشمس؟
+
+402
+00:43:14,070 --> 00:43:17,970
+بديش
+
+403
+00:43:17,970 --> 00:43:24,910
+إجابة يا جماعة، بدي واحدة تطلع تفهمنيبالقياس حيث
+
+404
+00:43:24,910 --> 00:43:31,130
+ان انا جبت جبال همالية في آسيا وجبال فلسطين وقلنا
+
+405
+00:43:31,130 --> 00:43:37,390
+انها انتقى في ظل الشمس لان الشمس اخر امتداد لها في
+
+406
+00:43:37,390 --> 00:43:43,210
+الشمال مدار السرطان فبتلاقي جهة مواجهة للشمس وجهة
+
+407
+00:43:43,210 --> 00:43:48,170
+معاكسة للشمس ومن المؤكد ان الجهة المواجهة للشمس هي
+
+408
+00:43:48,170 --> 00:43:53,080
+اكتر حياتهامن الجهة الأيه؟ أما في فلسطين فأين
+
+409
+00:43:53,080 --> 00:43:59,820
+الجهة التي تقع في ظل الشمس؟ في ظل الشمس، واحدة
+
+410
+00:43:59,820 --> 00:44:11,780
+تتفضل على هذه الأشكال اللي عنده على اللغة أين؟
+
+411
+00:44:11,780 --> 00:44:14,800
+التي تقع في ظل الشمس
+
+412
+00:44:22,230 --> 00:44:38,430
+أين التفكير الإبداعي؟
+
+413
+00:44:38,430 --> 00:44:44,650
+ماعرفش
+
+414
+00:44:44,650 --> 00:44:51,630
+إيش احنا بنقول أن الجبال تؤثر في الأمطاروشوفنا في
+
+415
+00:44:51,630 --> 00:44:55,830
+فلسطين تؤثر في ارتفاع الحرارة وانقفاض حيث كل ما
+
+416
+00:44:55,830 --> 00:45:01,030
+ارتفعنا الى اعلى تنصف الدرجات الحرارة ايضا لقينا
+
+417
+00:45:01,030 --> 00:45:08,270
+في اثر على الشمس الاشعاع الشمسي و جيبنا جبال
+
+418
+00:45:08,270 --> 00:45:11,830
+هماليا قولنا وين في ضل الشمس زي ما في ضل المطر في
+
+419
+00:45:11,830 --> 00:45:17,300
+عند ضل الشمسلكن أين في فلسطين المناطق التي تقع في
+
+420
+00:45:17,300 --> 00:45:22,460
+ظل الشمس؟ ياريت أنت تفضلي تتحفينا في الإجابةش
+
+421
+00:45:22,460 --> 00:45:27,480
+مناطق لإن الشمس لما تتحرك .. تبقى يعني عجيبة لما
+
+422
+00:45:27,480 --> 00:45:31,260
+تتحرك الشمس تبقى .. يعني انت مش عارف تكون مع الجبل
+
+423
+00:45:31,260 --> 00:45:34,420
+في رشدك لما تورب على الشمس تورب على الشمس كتير
+
+424
+00:45:34,420 --> 00:45:40,440
+رائعة وماسك هذا الكلام على المفضوم يا مفضومي تفضلي
+
+425
+00:45:40,440 --> 00:45:48,460
+ممتازةممتازة .. ممتازة .. استسمعوا الإجابة الصحيحة
+
+426
+00:45:48,460 --> 00:45:55,100
+الشمس لما تكون .. فضلا هي الجنة .. ممتازة لما تكون
+
+427
+00:45:55,100 --> 00:45:57,780
+الشمس يعني هال .. بتيجي على الجبل في الجهة الشرقية
+
+428
+00:45:57,780 --> 00:46:02,200
+.. ممتازة لما تيجي للغرب فبتكون الجهة اللي .. لما
+
+429
+00:46:02,200 --> 00:46:06,140
+تغرب الشمس بتيجي على الجهة الغربية في الجبل .. yes
+
+430
+00:46:06,140 --> 00:46:07,260
+فهمتم؟
+
+431
+00:46:18,740 --> 00:46:26,140
+مافيش في فلسطين مكان يقع تحت ظل الشمس طيب
+
+432
+00:46:26,140 --> 00:46:33,020
+ليش ماتكلمتيش؟ الشمس لما تشرق تشرق على الجهة
+
+433
+00:46:33,020 --> 00:46:39,850
+الشرقية التي تقع في ظل المطرولما تغرب، تغرب على
+
+434
+00:46:39,850 --> 00:46:45,830
+الجهة الغربية المواجهة للمطار، شفت موقع فلسطين
+
+435
+00:46:45,830 --> 00:46:54,190
+فريد وجميل بهذا الشكل؟ عشان هي بتقتل عليها اس؟
+
+436
+00:46:54,190 --> 00:47:00,390
+وبالتالي المناطق التي تتعرض للإشعاع الشمس هي أسرع
+
+437
+00:47:00,390 --> 00:47:06,330
+نموا في النباتأسرع نموًا عشان هيك بنلاقي أن
+
+438
+00:47:06,330 --> 00:47:13,470
+الفاكهة في أريحة تنضج مبكرًا الارتفاع ليش؟ الحرارة
+
+439
+00:47:13,470 --> 00:47:18,650
+والدليل على ذلك البلح يعني بلح أريحة بيجينا قبل ما
+
+440
+00:47:18,650 --> 00:47:23,790
+بلحنا ينضج ولا لا نتيجة لإيش؟ الارتفاع حرارة
+
+441
+00:47:23,790 --> 00:47:27,010
+المنطقة
+
+442
+00:47:27,010 --> 00:47:28,510
+الأغوار
+
+443
+00:47:53,930 --> 00:48:04,130
+انت اه بماذا تفسرين عدم وجود مناطق في ضل الشمس في
+
+444
+00:48:04,130 --> 00:48:10,010
+فلسطين جميع
+
+445
+00:48:10,010 --> 00:48:21,210
+تقع في مواجهةإجابة أخرى فضل انت اه
+
+446
+00:48:21,210 --> 00:48:24,490
+يعني
+
+447
+00:48:24,490 --> 00:48:37,570
+انت سارة الحرف تاني جاوبت وانا جاوبة ممتاز
+
+448
+00:48:37,570 --> 00:48:44,120
+كتير وصلت المعلومة صح؟ yes طيبعشان نجد أن المناطق
+
+449
+00:48:44,120 --> 00:48:47,820
+اللي تتقع تحت التأثير الشمسي هي أصلها نموها
+
+450
+00:48:47,820 --> 00:48:56,780
+نونوجين في .. حتى .. حتى الإنسان في الأنث و الشعر
+
+451
+00:48:56,780 --> 00:49:01,480
+و شكل الوجه و القامة يتأثر أيضا بالإشعاع الشمسي
+
+452
+00:49:01,480 --> 00:49:06,620
+عشان ايك بنلاقي منطقة سطوع الشمس الحارة البنيه
+
+453
+00:49:06,620 --> 00:49:15,560
+اللونية تبعتهم سمراءماشيه سمراء و كلما خف الإشعاع
+
+454
+00:49:15,560 --> 00:49:21,040
+الشمسي كلما بعيدنا عن خط الاستماع تتلون اللون
+
+455
+00:49:21,040 --> 00:49:27,200
+البشرة كما
+
+456
+00:49:27,200 --> 00:49:33,140
+تؤثر التضاريس في جريان الأنهار تتأثر
+
+457
+00:49:33,140 --> 00:49:41,720
+التضاريس في جريان الأنهاربنلاقي ان النهر لما ينبع
+
+458
+00:49:41,720 --> 00:49:47,620
+من منطقة مرتفعة هذه في ال geomorphology طبعا انتوا
+
+459
+00:49:47,620 --> 00:49:53,740
+أخدتوا ال geomorphology؟ الأنهار
+
+460
+00:49:53,740 --> 00:50:00,440
+التي تنبع من الجبال تنشط فيها التعريه الرأسية
+
+461
+00:50:00,440 --> 00:50:08,640
+تعريه ايش؟ الرأسية مشكلة خوانقة أو اودي عميقةطب
+
+462
+00:50:08,640 --> 00:50:12,180
+ليش؟ لأنه بدل تنحد حتى تصل إلى مستوى القاعدة ال
+
+463
+00:50:12,180 --> 00:50:16,140
+base level وين ال base level البيه قاعدة؟ مستوى
+
+464
+00:50:16,140 --> 00:50:22,460
+سطح البحر .. مستوى سطح البحر وإذا كانت الأنهار في
+
+465
+00:50:22,460 --> 00:50:29,540
+منطقة سهلية تكثر الإرسابات الفيضية تكثر إرسابات
+
+466
+00:50:29,540 --> 00:50:36,260
+ليش؟ التي تكون من أصلها نوع التربات ليش؟ للزراعةطب
+
+467
+00:50:36,260 --> 00:50:42,000
+إذا كانت المنطقة طفيفة للانحضار فبنلاقي شكل النهر
+
+468
+00:50:42,000 --> 00:50:48,380
+ملتوي شكل النهر إيش؟ ملتوي كيف شكل النهر ملتوي؟
+
+469
+00:50:48,380 --> 00:50:53,880
+يعني بهذا الشكل النهر بيجري بهذا الشكل ولا لا يا
+
+470
+00:50:53,880 --> 00:51:00,140
+رولة؟ هاي ال delta تبعت النهر في مرحلة الشباب
+
+471
+00:51:00,140 --> 00:51:06,950
+بنلاقي يكثر عملية النحت الرقصي صحيح؟طيب يا سيد
+
+472
+00:51:06,950 --> 00:51:10,530
+الحمد لله و صحيح احتضانية أصلا في العالم الإسلامي
+
+473
+00:51:10,530 --> 00:51:14,570
+في العالم الإسلامي يعني انتوا لحظة يعني الحمد لله
+
+474
+00:51:14,570 --> 00:51:21,210
+مابنسيبش معلومة تحتاج إلى شرح إلا بنجيبها هذي اللي
+
+475
+00:51:21,210 --> 00:51:28,950
+هو الارتفاع الكبير في الاش في هذه المنطقة الانحضار
+
+476
+00:51:28,950 --> 00:51:35,030
+طفيف انحضار إيش؟ طفيف فمن هناك النهر ينحد في الجهة
+
+477
+00:51:35,030 --> 00:51:40,290
+هذهويرسّب هنا ويرسّب
+
+478
+00:51:40,290 --> 00:51:43,170
+هنا ويرسّب هنا ويرسّب هنا ويرسّب هنا ويرسّب هنا
+
+479
+00:51:43,170 --> 00:51:49,430
+ويرسّب هنا ويرسّب هنا ويرسّب هنا ويرسّب هنا ويرسّب
+
+480
+00:51:49,430 --> 00:51:56,160
+هنا ويرسّب هنا ويرسّب هنا ويرسّب هنااللي هي الرأسي
+
+481
+00:51:56,160 --> 00:52:02,140
+و بيرسّب مكونة الـ Delta تبعته إذاً التدريس أيضًا
+
+482
+00:52:02,140 --> 00:52:11,240
+تأثير على الجريان النهري، الجريان النهري عشان
+
+483
+00:52:11,240 --> 00:52:15,880
+هيك بنشوف نهر النيل العظيم اللي ينبع من هضبة
+
+484
+00:52:15,880 --> 00:52:23,000
+الحبشة من بحيرة .. No الحبشة
+
+485
+00:52:26,940 --> 00:52:31,560
+البحيرة اللي في بحيرة لأ انت قولي اللي هاتيلي
+
+486
+00:52:31,560 --> 00:52:35,600
+خيارات بقول
+
+487
+00:52:35,600 --> 00:52:45,280
+التانة بحيرة التانة حتى
+
+488
+00:52:45,280 --> 00:52:51,600
+النهر بأثر في النقل عشان ايه كانشط في أوروبا على
+
+489
+00:52:51,600 --> 00:52:59,990
+سبيل المثالالنقلة النهرية ونظر إلى خريطة أوروبا
+
+490
+00:52:59,990 --> 00:53:05,250
+يجدها شبكة عنكبوتية من المجار المائية يعني لو لم
+
+491
+00:53:05,250 --> 00:53:10,670
+توجد اللي هي الطرق البرية لاستغنى الإنسان عنها
+
+492
+00:53:10,670 --> 00:53:20,850
+بالطرق النهرية الطرق لكن نهر بصوف البحر نجده
+
+493
+00:53:20,850 --> 00:53:22,990
+بأثر الإفسابات
+
+494
+00:53:25,370 --> 00:53:30,670
+على إيش؟ المينا، على .. المينا دايما بتكون المينا
+
+495
+00:53:30,670 --> 00:53:36,750
+القريبة من مصابات الأنهار، تحتاج لإيش؟ إصلاح مستمر
+
+496
+00:53:36,750 --> 00:53:46,170
+.. إصلاح مستمر عشان
+
+497
+00:53:46,170 --> 00:53:50,750
+ايه بنقول تقوم الزراع ناجح على ضفاف الأنهارفإذا
+
+498
+00:53:50,750 --> 00:53:55,170
+كانت الأنهار تجري في مناطق حارة تنشط الزراع اللي
+
+499
+00:53:55,170 --> 00:54:06,550
+هي المدارية سواء كان الأرز أو القطن ل .. ايوة كده
+
+500
+00:54:06,550 --> 00:54:11,350
+نصل
+
+501
+00:54:11,350 --> 00:54:16,730
+عند المناخ .. نصل عند المناخ وبارك الله فيكم
+
+502
+00:54:16,730 --> 00:54:19,350
+وزادكم ساعتا
+
+503
+00:54:21,260 --> 00:54:25,560
+شو حكيت؟ و إلى لقاين اخر ان شاء الله
+
diff --git a/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/VVTVus_9NtY_raw.json b/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/VVTVus_9NtY_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..8718897551891402fe733bdc120dc74888172b86
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2419.55, "text": "طبعا احنا الآن وفرت الجهد والوقت وزادت من الأربعة وزادت من الأربعة وزادت من الأربعة لليوم مافيش إجابة على السؤال اللي سألناه في بداية المحاضرات الاقتصادية", "tokens": [9566, 3555, 3615, 995, 1975, 5016, 8315, 6024, 48506, 4032, 5172, 43500, 25724, 3224, 3215, 16070, 30543, 2655, 4032, 11622, 18513, 2655, 9154, 16247, 25513, 27884, 4032, 11622, 18513, 2655, 9154, 16247, 25513, 27884, 4032, 11622, 18513, 2655, 9154, 16247, 25513, 27884, 5296, 20292, 20498, 19446, 41185, 8592, 11933, 7435, 16758, 3660, 15844, 21136, 33604, 6027, 13672, 1829, 8608, 10721, 1211, 8315, 3224, 8978, 4724, 28259, 10632, 9673, 5016, 46958, 2288, 9307, 42963, 38149, 9381, 18513, 10632], "avg_logprob": -0.1220953548565889, "compression_ratio": 1.9929577464788732, "no_speech_prob": 1.2516975402832031e-06, "words": [{"start": 2399.83, "end": 2400.23, "word": "طبعا", "probability": 0.953857421875}, {"start": 2400.23, "end": 2400.45, "word": " احنا", "probability": 0.8776041666666666}, {"start": 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التعليمي", "probability": 0.94716796875}, {"start": 2455.09, "end": 2455.99, "word": " مدام", "probability": 0.5884602864583334}, {"start": 2455.99, "end": 2456.19, "word": " أنا", "probability": 0.62060546875}, {"start": 2456.19, "end": 2456.67, "word": " علمت", "probability": 0.8896484375}, {"start": 2456.67, "end": 2457.59, "word": " الإنسان", "probability": 0.983642578125}, {"start": 2457.59, "end": 2458.25, "word": " يستطيع", "probability": 0.9527587890625}, {"start": 2458.25, "end": 2458.41, "word": " أن", "probability": 0.74658203125}, {"start": 2458.41, "end": 2458.93, "word": " يحل", "probability": 0.9892578125}, {"start": 2458.93, "end": 2460.45, "word": " مشاكله", "probability": 0.9788818359375}, {"start": 2460.45, "end": 2462.09, "word": " فيه", "probability": 0.975830078125}], "temperature": 1.0}, {"id": 93, "seek": 249009, "start": 2464.71, "end": 2490.09, "text": "و بنستخدم الاتنين على بعض العادات والتقاليد و أثر على الزراعة ضرفنا مثل زمان أن الفلاح الهندي المسلم يذبح البقرة بينما الفلاح الهندي البوذي يعبد البقرة وهذا اللي خل الهند تستحوذ على أكتر من ربع أبقار العالم", "tokens": [2407, 44945, 14851, 9778, 40448, 2423, 9307, 1863, 9957, 15844, 45030, 11242, 18863, 18513, 9307, 16070, 2655, 4587, 6027, 25708, 4032, 5551, 49115, 15844, 6024, 110, 23557, 27884, 48812, 28480, 8315, 50113, 1211, 30767, 2304, 7649, 14739, 27188, 15040, 5016, 2423, 3224, 1863, 16254, 9673, 3794, 19528, 7251, 8848, 49628, 29739, 4587, 25720, 49374, 15042, 27188, 15040, 5016, 2423, 3224, 1863, 16254, 29739, 2407, 8848, 1829, 37495, 44510, 29739, 4587, 25720, 37037, 15730, 13672, 1829, 16490, 1211, 2423, 3224, 41260, 6055, 14851, 5016, 2407, 8848, 15844, 5551, 4117, 2655, 2288, 9154, 12602, 3555, 3615, 5551, 3555, 4587, 9640, 18863, 45340], "avg_logprob": -0.1444152233624222, "compression_ratio": 1.9381443298969072, "no_speech_prob": 1.430511474609375e-06, "words": [{"start": 2464.71, "end": 2465.17, "word": "و", "probability": 0.56591796875}, {"start": 2465.17, "end": 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index 0000000000000000000000000000000000000000..d25126d769c63645102d3db0d17802b9419a457c
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@@ -0,0 +1 @@
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"word": " بريطانيا", "probability": 0.990234375}, {"start": 518.9, "end": 519.88, "word": " من", "probability": 0.982421875}, {"start": 519.88, "end": 520.68, "word": " الشعوب", "probability": 0.9757486979166666}, {"start": 520.68, "end": 522.0, "word": " المتعلمة", "probability": 0.96005859375}, {"start": 522.0, "end": 522.74, "word": " في", "probability": 0.94482421875}, {"start": 522.74, "end": 523.28, "word": " القرن", "probability": 0.9923502604166666}, {"start": 523.28, "end": 523.84, "word": " السابع", "probability": 0.9637044270833334}, {"start": 523.84, "end": 524.16, "word": " عشر", "probability": 0.96484375}, {"start": 524.16, "end": 524.76, "word": " والتامن", "probability": 0.7376708984375}, {"start": 524.76, "end": 525.08, "word": " عشر", "probability": 0.970458984375}, {"start": 525.08, "end": 525.58, "word": " والتاسع", "probability": 0.8697509765625}, {"start": 525.58, "end": 525.8, "word": " عشر", "probability": 0.9814453125}, {"start": 525.8, "end": 527.18, "word": " طيب", "probability": 0.7940266927083334}, {"start": 527.18, "end": 528.9, "word": " نشوف", "probability": 0.8951822916666666}, {"start": 528.9, "end": 529.68, "word": " جونسون", "probability": 0.811767578125}, {"start": 529.68, "end": 529.94, "word": " شو", "probability": 0.7156982421875}, {"start": 529.94, "end": 530.28, "word": " عمل", "probability": 0.821533203125}, {"start": 530.28, "end": 531.66, "word": " في", "probability": 0.63427734375}, {"start": 531.66, "end": 532.0, "word": " القرن", "probability": 0.9952799479166666}, {"start": 532.0, "end": 532.38, "word": " التاسع", "probability": 0.865234375}, {"start": 532.38, "end": 532.7, "word": " عشر", "probability": 0.992431640625}, {"start": 532.7, "end": 533.36, "word": " نشطة", "probability": 0.909423828125}, {"start": 533.36, "end": 533.94, "word": " التجارة", "probability": 0.988037109375}, {"start": 533.94, "end": 535.34, "word": " العالمية", "probability": 0.9959309895833334}, {"start": 535.34, "end": 536.9, "word": " 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852.65, "word": " الفلسطينية", "probability": 0.9864908854166666}, {"start": 852.65, "end": 853.19, "word": " التي", "probability": 0.77734375}, {"start": 853.19, "end": 855.07, "word": " يصدر", "probability": 0.8785400390625}, {"start": 855.07, "end": 855.73, "word": " عنها", "probability": 0.99072265625}, {"start": 855.73, "end": 857.03, "word": " الإحصائيات؟", "probability": 0.9663783482142857}], "temperature": 1.0}, {"id": 32, "seek": 88543, "start": 860.91, "end": 885.43, "text": "دائرة الإحصاء المركزية أو مركز الإحصاء الفلسطيني برافو عليكم مركز الإحصاء ليش؟ الفلسطيني طيب قبل ما جيء السلطة سنة ألف سمية و أربعة و تسعين كنا ناخد إحصائياتنا في فلسطين من وين؟ من دائرة الإحصاء الإسرائيلية من دائرة الإحصاء الإسرائيلية طب ده السؤال عارف", "tokens": [3215, 16373, 25720, 33688, 5016, 9381, 16606, 9673, 31747, 11622, 10632, 34051, 3714, 31747, 11622, 33688, 5016, 9381, 16606, 27188, 1211, 3794, 9566, 9957, 1829, 4724, 23557, 5172, 2407, 25894, 24793, 3714, 31747, 11622, 33688, 5016, 9381, 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مدخلات الصين النتيجة لهذه المدخلات حركات تعمير في الصين صح فراحت الصين شرت الحديد العالمي كل اللي بيدخل في التجارة العالمية", "tokens": [16095, 2407, 2423, 5099, 8032, 2304, 2407, 6156, 45340, 23275, 10632, 6055, 24401, 3215, 21136, 3615, 2288, 6156, 7435, 36081, 45595, 20498, 19446, 43527, 5551, 3215, 7578, 5296, 28480, 3615, 5551, 3794, 3615, 9640, 21542, 16254, 3215, 6225, 45340, 25528, 5296, 33456, 3224, 5296, 15042, 47525, 10721, 2655, 31767, 9957, 6055, 47283, 3215, 14407, 16490, 9566, 3660, 8608, 16572, 27884, 8978, 16712, 1863, 2304, 10632, 42963, 38149, 9381, 18513, 10632, 30767, 18513, 2655, 3714, 3215, 9778, 1211, 9307, 31767, 9957, 28239, 31371, 7435, 3660, 46740, 24192, 9673, 3215, 9778, 1211, 9307, 11331, 31747, 9307, 37279, 2304, 13546, 8978, 31767, 9957, 20328, 5016, 6156, 23557, 33753, 31767, 9957, 13412, 43500, 21542, 16254, 3215, 18863, 45340, 1829, 28242, 13672, 1829, 4724, 25708, 9778, 1211, 8978, 16712, 7435, 9640, 3660, 18863, 45340, 10632], "avg_logprob": 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خريطة الموارد الاقتصادية في العالم و كانت تضرب مستعمرات بريطانيا و تحاول السيطرة على موارد الإنتاج الاقتصادي في العالم، إذا دخلت كمنافسة لرجلات الحرب كونها تدرس مناطق الإنتاج", "tokens": [5172, 6027, 28820, 11778, 9778, 1211, 4032, 5551, 19528, 7649, 25528, 4032, 11242, 34268, 16490, 16572, 9566, 3660, 9673, 2407, 9640, 3215, 42963, 38149, 9381, 18513, 10632, 8978, 18863, 45340, 4032, 25961, 2655, 6055, 11242, 25513, 3714, 14851, 25957, 2288, 9307, 4724, 16572, 9566, 7649, 25528, 4032, 6055, 5016, 995, 12610, 21136, 1829, 9566, 25720, 15844, 3714, 2407, 9640, 3215, 33688, 29399, 26108, 42963, 38149, 9381, 995, 16254, 8978, 18863, 45340, 12399, 11933, 15730, 11778, 9778, 1211, 2655, 9122, 2304, 8315, 36178, 3660, 5296, 47341, 1211, 9307, 21542, 25513, 9122, 11536, 11296, 6055, 3215, 2288, 3794, 9154, 41193, 4587, 33688, 29399, 26108], "avg_logprob": -0.11309162708162104, "compression_ratio": 1.9365079365079365, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3518.45, "end": 3519.25, "word": "فالكل", "probability": 0.85009765625}, {"start": 3519.25, "end": 3520.33, "word": " دخل", "probability": 0.9881184895833334}, {"start": 3520.33, "end": 3521.07, "word": " و", "probability": 0.77099609375}, {"start": 3521.07, "end": 3521.55, "word": " ألمانيا", "probability": 0.922119140625}, {"start": 3521.55, "end": 3521.91, "word": " وضعت", "probability": 0.9806315104166666}, {"start": 3521.91, "end": 3522.41, "word": " خريطة", "probability": 0.9932861328125}, {"start": 3522.41, "end": 3522.79, "word": " الموارد", "probability": 0.9788818359375}, {"start": 3522.79, "end": 3523.17, "word": " الاقتصادية", "probability": 0.96064453125}, {"start": 3523.17, "end": 3523.31, "word": " في", "probability": 0.9267578125}, {"start": 3523.31, "end": 3523.73, "word": " العالم", "probability": 0.99755859375}, {"start": 3523.73, "end": 3524.19, "word": " و", "probability": 0.6162109375}, {"start": 3524.19, "end": 3524.65, "word": " كانت", "probability": 0.938720703125}, {"start": 3524.65, "end": 3525.17, "word": " تضرب", "probability": 0.9342447916666666}, {"start": 3525.17, "end": 3525.91, "word": " مستعمرات", "probability": 0.904296875}, {"start": 3525.91, "end": 3526.65, "word": " بريطانيا", "probability": 0.98828125}, {"start": 3526.65, "end": 3527.25, "word": " و", "probability": 0.355712890625}, {"start": 3527.25, "end": 3527.89, "word": " تحاول", "probability": 0.990966796875}, {"start": 3527.89, "end": 3528.37, "word": " السيطرة", "probability": 0.93896484375}, {"start": 3528.37, "end": 3528.59, "word": " على", "probability": 0.880859375}, {"start": 3528.59, "end": 3529.05, "word": " موارد", "probability": 0.951416015625}, {"start": 3529.05, "end": 3529.51, "word": " الإنتاج", "probability": 0.8826497395833334}, {"start": 3529.51, "end": 3530.07, "word": " الاقتصادي", "probability": 0.94189453125}, {"start": 3530.07, "end": 3530.21, "word": " في", "probability": 0.9345703125}, {"start": 3530.21, "end": 3531.01, "word": " العالم،", "probability": 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/fEUBK2HT888.srt b/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/fEUBK2HT888.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2144fbf554b6086492c819a03dbecc8372a2d0a3
--- /dev/null
+++ b/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/fEUBK2HT888.srt
@@ -0,0 +1,2166 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:14,410 --> 00:00:17,910
+يا رب بسم الله والصلاة والسلام على رسول الله طبعا
+
+3
+00:00:17,910 --> 00:00:23,970
+في البداية كل عام وأنتم بخير وبصحة جيدة إن شاء الله
+
+4
+00:00:23,970 --> 00:00:28,550
+نتمنى إن شاء الله بيكون عام كل عيد على فلسطين
+
+5
+00:00:28,550 --> 00:00:35,670
+والعرب والمسلمين نكمل طبعا الـ .. في الجغرافية
+
+6
+00:00:35,670 --> 00:00:41,070
+الاقتصادية الشق الثاني من الإنتاج الزراعي في
+
+7
+00:00:41,070 --> 00:00:45,990
+العالم قلنا الشق الأول هو الذراع نفسها الذراع
+
+8
+00:00:45,990 --> 00:00:52,370
+نفسها أما الشق الثاني فهو الثروة الحيوانية ما
+
+9
+00:00:52,370 --> 00:00:57,970
+أهمية الثروة الحيوانية سؤال زي ما سألناه في
+
+10
+00:00:57,970 --> 00:01:03,990
+الزراعة ما هي أهمية الزراعة اليوم هناخد ما هي 
+
+11
+00:01:03,990 --> 00:01:11,630
+أهمية الثروة الحيوانية 1- مصدر لغذاء الإنسان
+
+12
+00:01:11,630 --> 00:01:19,470
+مصدر هام لغذاء الإنسان وبخاصة أنها تمثل 30% من
+
+13
+00:01:19,470 --> 00:01:29,350
+الغذاء العالمي يعني ثلث الغذاء العالمي يُؤخذ من
+
+14
+00:01:29,350 --> 00:01:37,860
+الثروة الحيوانية أيضا هي مصدر دخل لكثير من الدول مصدر دخل 
+
+15
+00:01:37,860 --> 00:01:43,180
+لكثير من الدول في العالم يعني اليوم بنلاقي دولة
+
+16
+00:01:43,180 --> 00:01:49,640
+مثل أستراليا شهرتها العالمية في الثروة الحيوانية دولة
+
+17
+00:01:49,640 --> 00:01:53,820
+زي نيوزيلاندا شهرتها العالمية في الثروة الحيوانية
+
+18
+00:01:53,820 --> 00:01:58,780
+دولة زي هولندا شهرتها العالمية في الثروة الحيوانية
+
+19
+00:01:58,780 --> 00:02:02,560
+صح؟ ثلاثة اه
+
+20
+00:02:06,750 --> 00:02:12,270
+ممتازة يعني بنحصل منها على مأكل وملبس الإنسان من 
+
+21
+00:02:12,270 --> 00:02:17,290
+خلال إنتاجها سواء كان من الجلود أو الأصواف من
+
+22
+00:02:17,290 --> 00:02:23,830
+الجلود أو الأصواف 4- وسيلة
+
+23
+00:02:23,830 --> 00:02:29,590
+التنقل، ممتازة، ممتازة، وسيلة التنقل الإنسان اعتمد
+
+24
+00:02:29,590 --> 00:02:36,600
+على الحيوان في تنقله منذ القدم منذ القدم، منذ أن 
+
+25
+00:02:36,600 --> 00:02:40,960
+استأنس الإنسان الحيوان هو يستخدمه كوسيلة نقل، لكن
+
+26
+00:02:40,960 --> 00:02:47,980
+هل انقرضت هذه الوسيلة رغم قدمها؟ إطلاقا لا، لا
+
+27
+00:02:47,980 --> 00:02:54,440
+تزال مستخدمة إلى يوم هذا 5- هاتوا كمان أهمية
+
+28
+00:02:54,440 --> 00:02:59,500
+الثروة الحيوانية مادة
+
+29
+00:02:59,500 --> 00:03:03,980
+كاملة للتصنيع والتجارة
+
+30
+00:03:05,660 --> 00:03:15,060
+وتستخدم في الزراعة إذن أهمية كبيرة للثروة 
+
+31
+00:03:15,060 --> 00:03:18,820
+الحيوانية للثروة هي الحيوانية وزي ما قلنا أنها
+
+32
+00:03:18,820 --> 00:03:25,730
+تشكل ثلاثين في المائة من الغذاء العالمي، سواء كذا من
+
+33
+00:03:25,730 --> 00:03:30,510
+اللحوم، الألبان، البيض، وكلها تحتوي على نسبة عالية
+
+34
+00:03:30,510 --> 00:03:36,670
+من البروتين طيب، حكاية البيض، لما نيجي نقول الجدل
+
+35
+00:03:36,670 --> 00:03:43,130
+الفسيفساءي الذي نحن نعرفه، من أول، البيضة أم
+
+36
+00:03:43,130 --> 00:03:44,170
+الدجاجة؟
+
+37
+00:03:47,390 --> 00:03:55,350
+البيضة أولا بحيث
+
+38
+00:03:55,350 --> 00:04:03,190
+أن التطور البيولوجي الذي حدث في الكائنات أدى إلى أن
+
+39
+00:04:03,190 --> 00:04:04,650
+توجد البيضة أولا
+
+40
+00:04:12,680 --> 00:04:19,680
+هناك زي ما قلنا 3500 فصيلة حيوانية لم
+
+41
+00:04:19,680 --> 00:04:25,780
+يستأنس منها إلا 19 أما باقي الفصائل فهي حيوانات
+
+42
+00:04:25,780 --> 00:04:31,260
+برية، حيوانات برية، طبعا هل الإنسان عزف عنها؟ لا، 
+
+43
+00:04:31,260 --> 00:04:37,440
+إنما ممكن يستفيد منها، ممكن يستفيد منها، الرعي مرتبط تماما
+
+44
+00:04:37,440 --> 00:04:42,500
+بالثروة الحيوانية، الرعي مرتبط تماما بالثروة
+
+45
+00:04:42,500 --> 00:04:51,110
+الحيوانية المساحة الرعوية التي تستخدم للرعي هي ضعف 
+
+46
+00:04:51,110 --> 00:04:56,750
+المساحة المستخدمة في الزراعة هي ضعف المساحة
+
+47
+00:04:56,750 --> 00:05:02,110
+المستخدمة في الزراعة طب ليش؟ يعني تعالوا تشوفوا 
+
+48
+00:05:02,110 --> 00:05:06,670
+الأرقام اللي عندي 3116
+
+49
+00:05:06,670 --> 00:05:09,470
+مليون هكتار يعني 3 مليار
+
+50
+00:05:12,980 --> 00:05:19,040
+هكتار تستخدم للرعي في حين أن ما يستخدم للزراعة هو
+
+51
+00:05:19,040 --> 00:05:23,500
+1452
+
+52
+00:05:23,500 --> 00:05:29,440
+يعني مليار ونصف تقريبا لماذا
+
+53
+00:05:29,440 --> 00:05:37,160
+مساحة المراعي أكثر أو ضعف مساحة الزراعة
+
+54
+00:05:44,370 --> 00:05:47,390
+على الرعي الذي هو يكون مكمل للزراعة ولا تحتاج إلى 
+
+55
+00:05:47,390 --> 00:05:51,230
+مساحات خصبة أكثر أو لأن المساحات التي غير صالحة
+
+56
+00:05:51,230 --> 00:05:57,130
+للزراعة برافو عليك برافو عليك لأن غالبية المراعي 
+
+57
+00:05:57,130 --> 00:06:03,650
+هي المساحات التي لا تصلح للزراعة طب ليش لا تصلح
+
+58
+00:06:03,650 --> 00:06:11,550
+للزراعة؟ بسبب قلة كمية الأمطار بسبب قلة كمية
+
+59
+00:06:11,550 --> 00:06:17,170
+الأمطار يعني باجي أنه أقل من 150 ملم 
+
+60
+00:06:17,170 --> 00:06:24,550
+وبالتالي هذه الكمية تصلح لإينبات الأعشاب ولا تصلح 
+
+61
+00:06:24,550 --> 00:06:30,690
+للزراعة فهمتوا؟ عشان هيك باجي إن معظم المراعي هي 
+
+62
+00:06:30,690 --> 00:06:36,270
+خارج نطاق الأمطار الغزيرة خارج نطاق الأمطار التي 
+
+63
+00:06:36,270 --> 00:06:45,180
+تستخدم أو تصلح للزراعة طيب هذه الكمية مقسمة على 25%
+
+64
+00:06:45,180 --> 00:06:52,200
+من المراعي في العالم في إفريقيا ربع مساحة المراعي
+
+65
+00:06:52,200 --> 00:06:59,380
+موجودة في إفريقيا ومما يؤسف أن ربع الكمية التي في 
+
+66
+00:06:59,380 --> 00:07:04,000
+العالم لا تساهم بنصيب يذكر في التجارة العالمية 
+
+67
+00:07:04,000 --> 00:07:08,040
+للثروة الحيوانية لماذا؟
+
+68
+00:07:08,040 --> 00:07:14,920
+يعني أكبر نسبة في المراعي موجودة في إفريقيا ولكن
+
+69
+00:07:14,920 --> 00:07:21,460
+هذه النسبة لا تساهم بشيء يذكر في التجارة العالمية، 
+
+70
+00:07:21,460 --> 00:07:25,640
+ليه بالثروة الحيوانية؟ 1- 
+
+71
+00:07:25,640 --> 00:07:30,660
+أولا الأفارقة لا يهتمون بالثروة الحيوانية،
+
+72
+00:07:30,660 --> 00:07:35,710
+ماعندهم اهتمام بالثروة الحيوانية ليه؟ لأنه من 
+
+73
+00:07:35,710 --> 00:07:43,170
+العادات والتقاليد الإفريقية تعتمد على رأس مالها في
+
+74
+00:07:43,170 --> 00:07:48,090
+الثروة الحيوانية يعني القبائل الإفريقية يجدون عندها
+
+75
+00:07:48,090 --> 00:07:52,390
+ثروة حيوانية تعتبر أن هذا رأس مالها وبالتالي لا 
+
+76
+00:07:52,390 --> 00:07:55,530
+تدخلها في التجارة، يعني لا تدخلها في البيع والشراء
+
+77
+00:07:55,530 --> 00:08:00,510
+اثنين اثنين
+
+78
+00:08:00,510 --> 00:08:02,130
+لماذا لا تساهم؟
+
+79
+00:08:12,120 --> 00:08:18,300
+ممكن أن جزء من الثروة الحيوانية يدخل ضمن العقائد
+
+80
+00:08:18,300 --> 00:08:32,340
+الدينية وبالتالي لا تدخل في التجارة العالمية 3- 
+
+81
+00:08:33,820 --> 00:08:37,540
+استخدام في الدول المتقدمة استخدام الأساليب الحديثة
+
+82
+00:08:37,540 --> 00:08:42,360
+في التعامل مع الحيوانات بعكس الدول النامية؟ Bravo
+
+83
+00:08:42,360 --> 00:08:48,600
+عليك هناك تخلف طبي عدم اهتمام بالثروة الحيوانية في 
+
+84
+00:08:48,600 --> 00:08:53,680
+إفريقيا وبالتالي غالبية الثروة الحيوانية في إفريقيا
+
+85
+00:08:53,680 --> 00:09:01,400
+هي هزيلة هي إيش؟ هزيلة، لا تعطي لحما ولا تعطي جلدا 
+
+86
+00:09:01,400 --> 00:09:09,680
+ولا تعطي صوفا ولا ألبانا أيضا، ماشي؟
+
+87
+00:09:09,680 --> 00:09:13,880
+آه، كمان Bravo
+
+88
+00:09:13,880 --> 00:09:20,280
+عليكي، ممتازة، الجفاف إحنا بنلاحظ إفريقيا من أكثر 
+
+89
+00:09:20,280 --> 00:09:26,090
+القارات عرضة للجفاف والذي يؤثر على إنتاج الثروة
+
+90
+00:09:26,090 --> 00:09:30,630
+الحيوانية كمراعٍ في الصومال،
+
+91
+00:09:30,630 --> 00:09:34,010
+أفقدت
+
+92
+00:09:34,010 --> 00:09:42,150
+العالم 25% من المراعي النسبة الثانية نجدها في خمس
+
+93
+00:09:42,150 --> 00:09:52,740
+المساحة الرعوية في آسيا في آسيا وأستراليا 15% من
+
+94
+00:09:52,740 --> 00:09:59,700
+المراعي في العالم موجودة في إيش؟ والـ 15% تساهم ب
+
+95
+00:09:59,700 --> 00:10:04,900
+20% من التجارة العالمية للثروة الحيوانية شايفين
+
+96
+00:10:04,900 --> 00:10:10,210
+المقارنات؟ لأن هناك اهتماما بالثروة الحيوانية في
+
+97
+00:10:10,210 --> 00:10:14,450
+أستراليا وبالتالي نجد أستراليا على قائمة الدول
+
+98
+00:10:14,450 --> 00:10:21,890
+المصدرة للحيوانات سواء كانت حية أو مجمدة أمريكا
+
+99
+00:10:21,890 --> 00:10:30,230
+الجنوبية أيضا حوالي 15% أمريكا الشمالية 11% يعني 
+
+100
+00:10:30,230 --> 00:10:38,990
+10% أوروبا 3% وهنا التقدم التكنولوجي يظهر 3% من
+
+101
+00:10:38,990 --> 00:10:46,210
+مراعٍ العالم جعلت أوروبا بالتقدم التكنولوجي من
+
+102
+00:10:46,210 --> 00:10:50,030
+القارات المساهمة والرئيسة في إنتاج الثروة
+
+103
+00:10:50,030 --> 00:10:59,330
+الحيوانية كما نجد في وسائل الإعلام طيب أنواع الرعي 
+
+104
+00:10:59,330 --> 00:11:06,330
+زي ما عندي أنواع الزراعة أو أنماط الزراعة عندي I'm
+
+105
+00:11:06,330 --> 00:11:10,490
+not  الـرعي بس أنا أملت إن أنا عارف إنه ماشي طيب 
+
+106
+00:11:10,490 --> 00:11:17,230
+طيب قلنا إحنا الرعي البدائي هذا يساوي بالزراعة إيش
+
+107
+00:11:17,230 --> 00:11:23,990
+الزراعة البدائية أو المعاشية صح طيب لو جينا سؤال
+
+108
+00:11:23,990 --> 00:11:32,450
+بماذا تفسر هجرة قبائل الـ  lab جنوبا في فصل الصيف
+
+109
+00:11:34,480 --> 00:11:42,320
+وشمالا في فصل الشتاء كمان
+
+110
+00:11:42,320 --> 00:11:47,680
+مرة السؤال كمان مرة السؤال السؤال غلط برافو عليك
+
+111
+00:11:47,680 --> 00:11:53,620
+يا دبس برافو عليك السؤال خاطئ انتبهوا السؤال خاطئ
+
+112
+00:11:53,620 --> 00:11:58,900
+عشان نشوف مدى إدراككم السريع إذا السؤال المعكوس هو
+
+113
+00:11:58,900 --> 00:12:05,350
+هجرة القبائل جنوبا شتاء وشمالا صيفا بسبب إيش؟ بسبب
+
+114
+00:12:05,350 --> 00:12:11,090
+تغير الحياة تتفادى ده خلفية الشمس ليش هم بيهاجروا؟
+
+115
+00:12:11,090 --> 00:12:17,250
+لتغير عليهم المناخ وبحثا عن الأعشاب وبحثا عن 
+
+116
+00:12:17,250 --> 00:12:24,350
+ليه؟ الأعشاب الرعي التجاري أخذناه لأنه اهتمام كبير
+
+117
+00:12:24,350 --> 00:12:27,370
+فيه من أجل الربح
+
+118
+00:12:37,100 --> 00:12:43,740
+الإنتاج الحيواني المختلط أيضا أخذنا الثروة
+
+119
+00:12:43,740 --> 00:12:49,800
+الحيوانية في العالم هنوصل لها، صح؟ اه طيب أهم أنواع
+
+120
+00:12:49,800 --> 00:12:53,840
+الثروة الحيوانية التي موجودة في العالم 1-
+
+121
+00:12:53,840 --> 00:13:05,160
+الأبقار، 1- الأبقار من يحكي؟ طيب، اه
+
+122
+00:13:08,200 --> 00:13:13,400
+طيب ماشي فضلا تشتغل الأفكار في جميع بقاع الأرض من
+
+123
+00:13:13,400 --> 00:13:17,000
+حيث وجود الإنسان وإلى ندرة الإنسان البقرة بتختلف
+
+124
+00:13:17,000 --> 00:13:20,060
+من مكان لآخر وفي أوروبا تربى الأفكار من أجل 
+
+125
+00:13:20,060 --> 00:13:23,080
+الاستفادة من إنتاجها عكس الهند التي تأكلها يعني
+
+126
+00:13:23,080 --> 00:13:27,380
+مطابقة للدين الذي هيبقى ده وأيضا تشغل آسيا هي 
+
+127
+00:13:27,380 --> 00:13:31,880
+المركز الأول من حيث ما تملك يعني من الأفكار و .. و 
+
+128
+00:13:31,880 --> 00:13:34,820
+.. و أمريكا الجنوبية تأخذ المركز الثاني وإفريقيا
+
+129
+00:13:34,820 --> 00:13:38,290
+المركز الثالث وأمريكا الشمالية المركز الثالث وقررت 
+
+130
+00:13:38,290 --> 00:13:41,890
+قرابة المركز الخامس لكن هذا لا يعني أنه أساس المركز 
+
+131
+00:13:41,890 --> 00:13:46,150
+الأول أنت بتنتج بالكميات أكثر من قرابة هنا تدخل
+
+132
+00:13:46,150 --> 00:13:50,350
+يعني التطور والتقدم واستخدامهم للأدوات الحديثة 100 
+
+133
+00:13:50,350 --> 00:13:54,290
+أو مائة إذا
+
+134
+00:13:54,290 --> 00:14:00,090
+خلينا نقول بالسؤال التالي هل البقرة صديقة الإنسان
+
+135
+00:14:03,280 --> 00:14:12,600
+هل البقرة صديقة الإنسان؟ مادام
+
+136
+00:14:12,600 --> 00:14:19,240
+توجد البقرة حيث يوجد الإنسان فهي فعلا صديقة
+
+137
+00:14:19,240 --> 00:14:26,440
+الإنسان إما أن يستخدمها في أعمال الزراعة أو في 
+
+138
+00:14:26,440 --> 00:14:33,440
+أعمال المنتجات الغذائية أو في العبادة
+
+139
+00:14:38,070 --> 00:14:43,050
+تختلف درجة الاهتمام من دولة لأخرى، من إنسان لآخر،
+
+140
+00:14:43,050 --> 00:14:51,290
+من قارة لأخرى، حسب نظرة الإنسان لهذه البقرة فنجد 
+
+141
+00:14:51,290 --> 00:14:56,450
+في آسيا على سبيل المثال أن بها دولة واحدة تستحوذ
+
+142
+00:14:56,450 --> 00:15:01,390
+على أكثر من ربع أبقار العالم لأنها تستخدمها في
+
+143
+00:15:01,390 --> 00:15:09,110
+العبادة بينما أوروبا تستخدمها للإنتاج الغذائي كذلك
+
+144
+00:15:09,110 --> 00:15:15,470
+في أمريكا الجنوبية كذلك في أمريكا الشمالية تستخدم
+
+145
+00:15:15,470 --> 00:15:20,750
+الأبقار لإنتاج الموارد الغذائية سواء كانت الألبان
+
+146
+00:15:20,750 --> 00:15:29,270
+أو الألبان أو اللحوم أو الجلود بالتالي هناك اهتمام
+
+147
+00:15:29,270 --> 00:15:35,010
+رائع في أوروبا على سبيل المثال، دولة كبريطانيا على
+
+148
+00:15:35,010 --> 00:15:41,230
+سبيل المثال، نجد بها خمسة عشر مليون بقرة ولو قسمت
+
+149
+00:15:41,230 --> 00:15:45,450
+على عدد السكان ال 60 مليون يعني أن كل بقرة لها
+
+150
+00:15:45,450 --> 00:15:52,430
+أربعة أفراد أربعة أفراد ورغم ذلك تعتبر بريطانيا من
+
+151
+00:15:52,430 --> 00:15:57,370
+أكثر الدول استيرادا للألبان يعني جماعة بيشربوا
+
+152
+00:15:57,370 --> 00:16:03,830
+ويستخدموا الألبان بصورة كبيرة الأغنام الأغنام
+
+153
+00:16:04,910 --> 00:16:09,510
+في المرتبة الثانية من حيث الثروة الحيوانية الموجودة
+
+154
+00:16:09,510 --> 00:16:15,350
+في العالم وهي أقل حجما تنتشر
+
+155
+00:16:15,350 --> 00:16:20,430
+هذه الأغنام في جميع قارات العالم وفي جميع دول
+
+156
+00:16:20,430 --> 00:16:25,370
+العالم طبعا بيعتمد عليها في الرعي
+
+157
+00:16:30,020 --> 00:16:34,140
+تربية من أجل الحصول على اللحوم وأغنام تربية من أجل
+
+158
+00:16:34,140 --> 00:16:39,620
+الحصول على الصوف ماشي و تتركز المراعي طبعا الأغنام
+
+159
+00:16:39,620 --> 00:16:45,980
+في جميع دول العالم فبنلاقي آسيا أولى القارات 37%
+
+160
+00:16:45,980 --> 00:16:51,120
+من تعداد العالم في الأغنام فيها يعني تقارب من 40% 31
+
+161
+00:16:51,120 --> 00:17:02,040
+% أفريقيا 21% أفريقيا 17% أمريكا الجنوبية أوروبا 15
+
+162
+00:17:02,040 --> 00:17:09,140
+% أستراليا 9% وأخيرا أمريكا الشمالية في نسبة
+
+163
+00:17:09,140 --> 00:17:14,000
+الباقية الماعز أيضا
+
+164
+00:17:16,230 --> 00:17:22,130
+شقيقة الأغنام المعز شقيقة الأغنام زي ما عندي أغنام
+
+165
+00:17:22,130 --> 00:17:26,590
+في عندي معز ودايما غالبا الاتنين بيرتبطوا مع بعض
+
+166
+00:17:26,590 --> 00:17:30,970
+فضل المعز القيمة الاقتصادية أنها محدودة وأيضا
+
+167
+00:17:30,970 --> 00:17:35,670
+اللحوم غير مستحبة في الأسواق العالمية وترعى المعز
+
+168
+00:17:35,670 --> 00:17:40,290
+في المراعي الفقيرة جدا لذلك هي بتمثل خطرًا على
+
+169
+00:17:40,290 --> 00:17:44,730
+التربة وعلى المراعي أنها بتعمل على التصحر آسيا
+
+170
+00:17:44,730 --> 00:17:48,810
+تحتل المركز الأول من إنتاج الماعز نحو ثلثي
+
+171
+00:17:48,810 --> 00:17:53,730
+الإنتاج العالمي أيضا في أفريقيا تحتل المركز الثاني
+
+172
+00:17:53,730 --> 00:17:59,350
+25% وكذلك تساهم أوروبا نحو 15% من الإنتاج العالمي
+
+173
+00:17:59,350 --> 00:18:06,550
+لذا الماعز أخطر من الأغنام أولا الماعز أخطر من
+
+174
+00:18:06,550 --> 00:18:12,590
+الأغنام أولا لأن حجمها جليل حجمها جليل وبعدين
+
+175
+00:18:12,590 --> 00:18:16,930
+تكتفي بأقل نصيب في الغذاء عشان هيك لا تبطلوا لحومًا
+
+176
+00:18:16,930 --> 00:18:23,930
+ولا شحومًا ولا جاسوف وهي من أخطر الحيوانات على
+
+177
+00:18:23,930 --> 00:18:31,850
+البيئة لأنها تقتلع الأعشاب من جذورها بمعنى
+
+178
+00:18:33,900 --> 00:18:42,500
+تؤدي إلى رعي جائر إلى التصحر من هنا كانت قلة أو
+
+179
+00:18:42,500 --> 00:18:49,800
+عدم اهتمام العالم بالماعز أقل من الأغنام بنلاقي
+
+180
+00:18:49,800 --> 00:18:55,900
+أنه على سبيل المثال آسيا تحتل المركز الأول أفريقيا
+
+181
+00:18:55,900 --> 00:19:02,760
+المركز الثاني أوروبا 15% من الإنتاج العالمي the
+
+182
+00:19:03,770 --> 00:19:09,450
+رابع نوع في الثروة الحيوانية المستخدم في العالم
+
+183
+00:19:09,450 --> 00:19:18,330
+وكلنا عارفين the camel هو سفينة الصحراء
+
+184
+00:19:18,330 --> 00:19:25,790
+طبعا يوجد في آسيا وفي أفريقيا من أكثر القارات
+
+185
+00:19:25,790 --> 00:19:31,430
+استخداما للجمال هي القارتان هاتان طب ليش مش وجود في
+
+186
+00:19:31,430 --> 00:19:37,070
+أوروبا؟ مافيش صحاري في أوروبا، مافيش صحاري إيش؟ في
+
+187
+00:19:37,070 --> 00:19:40,690
+أوروبا، إنما أكثر قارة ثانية فيهم صحاري هي إيه؟
+
+188
+00:19:40,690 --> 00:19:46,490
+آسيا وأفريقيا فنجد على سبيل المثال أفريقيا خمسة
+
+189
+00:19:46,490 --> 00:19:52,590
+و70% من جمال العالم موجودة في أفريقيا
+
+190
+00:19:52,590 --> 00:19:58,990
+الصومال لحالها 80%، يعني ثلث قريبًا
+
+191
+00:19:58,990 --> 00:20:03,890
+الجمال اللي موجودة في العالم موجود وين؟ في أستراليا
+
+192
+00:20:03,890 --> 00:20:08,010
+ورغم ذلك... الصومال رغم ذلك بتشوف الصومال إيش
+
+193
+00:20:08,010 --> 00:20:14,110
+حالها من الفقر وموت وجوع وكثير من ثروة الحيوانين
+
+194
+00:20:14,110 --> 00:20:22,450
+طيب أيضا السودان 15% من الجمال في
+
+195
+00:20:22,450 --> 00:20:28,010
+العالم إثيوبيا 10% تقريبا أي رقم قريب من
+
+196
+00:20:28,010 --> 00:20:34,070
+قرب العدد الصحيح موريتانيا 6% تقريبا
+
+197
+00:20:34,070 --> 00:20:38,670
+كينيا 4% ثلاثة 1% من
+
+198
+00:20:38,670 --> 00:20:49,470
+الجبال موجودة فيها تمثل 3.6% من جمال العالم، 30% من
+
+199
+00:20:49,470 --> 00:20:50,270
+القارة في الهند
+
+200
+00:20:53,200 --> 00:20:58,500
+الهند 2.5% من جمال العالم يعني بتمثل تليها الصين 1
+
+201
+00:20:58,500 --> 00:21:03,700
+.1% من جمال العالم التغير المناخي اللي بيحصل هنا
+
+202
+00:21:03,700 --> 00:21:08,980
+بيؤدي إلى الذكام بيؤدي لإيش؟ للذكام ويفترض يعني أنا
+
+203
+00:21:08,980 --> 00:21:12,000
+سمعت أكثر من واحدة بتكحك فيكم هذا دليل أن فيه
+
+204
+00:21:12,000 --> 00:21:17,100
+influenza مبكرة أو ذكام يفترض في بلد فيها ملح أو
+
+205
+00:21:17,100 --> 00:21:26,310
+حمضيات يكون فيش عندنا it's okay طيب الجاموس أيضا
+
+206
+00:21:26,310 --> 00:21:33,250
+شقيقة الأبقار زي ما قلت لكن موجود في آسيا وفي
+
+207
+00:21:33,250 --> 00:21:37,930
+أفريقيا أفريقيا مصر تستحوذ على نسبة كبيرة من
+
+208
+00:21:37,930 --> 00:21:42,630
+الجاموس اللي موجود في أفريقيا في آسيا طبعا موجود
+
+209
+00:21:42,630 --> 00:21:46,190
+في المناطق اللي فيها إيش؟ أنهار في المناطق اللي
+
+210
+00:21:46,190 --> 00:21:52,640
+فيها إيش؟ أنهار ليش؟ لأن هناك ارتباط مكاني بين
+
+211
+00:21:52,640 --> 00:21:57,740
+الجاموس والأنهار لأن الجاموس بيحب المية كتير وبيحب
+
+212
+00:21:57,740 --> 00:22:04,940
+دايما يكون في الماء 95% من تعداد الجاموس في العالم
+
+213
+00:22:04,940 --> 00:22:11,920
+موجود وين؟ آسيا وخاصة فيها الهند والصين و
+
+214
+00:22:11,920 --> 00:22:18,400
+الباكستان تعرفوا جاموس أنتو؟ اه مين شايف الجاموس؟
+
+215
+00:22:18,400 --> 00:22:19,800
+على التليفزيون بس
+
+216
+00:22:24,160 --> 00:22:32,340
+هو نفس البقرة بس بتختلف في حاجتين إنتاج الألبان
+
+217
+00:22:32,340 --> 00:22:38,220
+يعني البقرة ممكن تصل ل 70 لتر إذا كانت البقرة
+
+218
+00:22:38,220 --> 00:22:42,880
+الحلوب جيدة جدا بينما الجاموس لا يمكن تصل لعشر لتر
+
+219
+00:22:42,880 --> 00:22:50,950
+لا يمكن إتنين في الحجم يعني أحيانا في خشونة في
+
+220
+00:22:50,950 --> 00:22:58,750
+الجاموسة بينما البقرة فيها نعومة البقرة فيها إيش؟
+
+221
+00:22:58,750 --> 00:23:01,730
+نعومة أنا ما بشوفش في التليفزيون في دول أوروبا
+
+222
+00:23:01,730 --> 00:23:06,410
+بيدللوا الجاموسة لأن ما عندهم جاموس بينما بيدللوا
+
+223
+00:23:06,410 --> 00:23:13,080
+البقرة وبعدين تستخدم لزراعة أكثر في الدول التي فيها
+
+224
+00:23:13,080 --> 00:23:17,500
+جاموس لأنها تتحمل المشاق الزراعي أكثر من البقرة
+
+225
+00:23:17,500 --> 00:23:24,300
+خاصة في حراسة الأرض الخاصة في حراسة الأرض الجموس
+
+226
+00:23:24,300 --> 00:23:28,040
+في أفريقيا زي ما قلت أكثر إلا في مصر إثنين وثلاثة
+
+227
+00:23:28,040 --> 00:23:32,650
+من عشرة في المية من أمريكا الجنوبية أقل من واحد في
+
+228
+00:23:32,650 --> 00:23:38,090
+المية من الانتشار فيها جاموس ما يعتنوش فيها كثير فهيك
+
+229
+00:23:38,090 --> 00:23:42,750
+بنكون احنا إيش؟ خلصنا الإنتاج الحيواني في العالم
+
+230
+00:23:42,750 --> 00:23:47,450
+ننتقل إلى الشق الثالث من الإنتاج الزراعي في العالم
+
+231
+00:23:47,450 --> 00:23:53,640
+اللي هو إيه؟ الثروة السمكية الثروة إيش؟ السمكية طبعا
+
+232
+00:23:53,640 --> 00:23:57,920
+إذا كان العالم يعتمد في غذائه على الزراعة وعلى
+
+233
+00:23:57,920 --> 00:24:03,120
+إنتاج الحيواني فهو أيضا يعتمد على صيد الأسماك أو
+
+234
+00:24:03,120 --> 00:24:11,000
+الصيد البحري في إنتاج الغذاء وخاصة إن يعتبر الصيد
+
+235
+00:24:11,000 --> 00:24:17,120
+البحري من أنقى الغذاء الذي يتناوله الإنسان، لماذا؟
+
+236
+00:24:20,440 --> 00:24:26,300
+يعني بيقول عنه طبيعي 100% لإنه جاي من بحر
+
+237
+00:24:26,300 --> 00:24:31,160
+متجدد مافيش غلط في ذبحه لإنه بيطلع على طول... مافيش
+
+238
+00:24:31,160 --> 00:24:36,360
+غلط في ذبحه؟ حلو هذا، عمرك شفتي سمكة بتتذبح؟ مش
+
+239
+00:24:36,360 --> 00:24:41,580
+فاهم عليا، أكثر ما بيندبح يعني هو ما بيندبح؟ اه يعني
+
+240
+00:24:41,580 --> 00:24:48,070
+... ارشدنا يا شيخ الحديث تبع البحر النبي صلى الله
+
+241
+00:24:48,070 --> 00:24:57,790
+عليه وسلم يقول الطهور ما هو حلوم ميتته ما هو؟ يعني
+
+242
+00:24:57,790 --> 00:25:03,470
+الحاجة الوحيدة اللي بناكلها ميتة الموارد البحرية
+
+243
+00:25:03,470 --> 00:25:08,650
+اللي هي الأسماء في كمان الجراد الجراد؟ حد عمره أكل
+
+244
+00:25:08,650 --> 00:25:18,010
+جراد؟ بس هو يعني حد هنا أكل جراد؟
+
+245
+00:25:18,010 --> 00:25:21,550
+في اليابان
+
+246
+00:25:21,550 --> 00:25:27,290
+بيأكلوا حشرات طب أنا عارف بيأكلوا حشرات لكن عندنا
+
+247
+00:25:27,290 --> 00:25:31,810
+حد في فلسطين مافيش حد يوم قال أن أكل الجراد زمان
+
+248
+00:25:31,810 --> 00:25:35,290
+... اه زمان هي ما كانتش الجراد أنا أذكر أنه اختاره
+
+249
+00:25:35,290 --> 00:25:38,630
+زمان قالوا لنا أنه كنا لما نصيد الجراد نشويه على
+
+250
+00:25:38,630 --> 00:25:40,470
+النار ونحمصه زي البزير
+
+251
+00:25:46,640 --> 00:25:53,040
+طيب من أين نحصل على الثروة السمكية؟ طبعا من البحار
+
+252
+00:25:53,040 --> 00:25:59,360
+والمحيطات اللي موجودة حول اليابسة في العالم في
+
+253
+00:25:59,360 --> 00:26:05,160
+العالم هذه المساحة تقدر بحوالي 375 مليون كيلومتر
+
+254
+00:26:05,160 --> 00:26:12,890
+كيلومتر 375 مليون كيلومتر المساحة
+
+255
+00:26:12,890 --> 00:26:16,330
+المسطح المائي موزعة على المحيطات الرئيسية في العالم
+
+256
+00:26:16,330 --> 00:26:24,630
+المحيط الهندي 45.5% تقريبا يعني يقارب 50% المحيط
+
+257
+00:26:24,630 --> 00:26:28,450
+الهادي يقترب من نصف مساحة المياه الموجودة في
+
+258
+00:26:28,450 --> 00:26:36,430
+العالم الأطلسي 22 يعني خمس مساحة المياه الموجودة في
+
+259
+00:26:36,430 --> 00:26:43,750
+العالم، أخيرا الهندي... الهندي 20% من بالإضافة
+
+260
+00:26:43,750 --> 00:26:49,210
+إلى المياه الداخلية الممثلة في الأنهار أو البحيرات
+
+261
+00:26:49,210 --> 00:26:55,170
+... سواء كانت شطوية أو داخلية، تربى بإنتاج أو
+
+262
+00:26:55,170 --> 00:27:01,630
+ثروة سمكية العوامل الطبيعية المؤثرة في صيد
+
+263
+00:27:01,630 --> 00:27:05,710
+الأسماك، العوامل الطبيعية المؤثرة في صيد الأسماك،
+
+264
+00:27:05,710 --> 00:27:15,250
+واحد، درجة حرارة الماء، تتكلم عنها؟ بس التانية
+
+265
+00:27:15,250 --> 00:27:20,830
+والباقي، تفضلي يا حرتاني، حرتاني، تفضلي
+
+266
+00:27:35,840 --> 00:27:49,290
+زي ما قلنا لكل نبات درجة حرارة أيضا للثروة السمكية
+
+267
+00:27:49,290 --> 00:27:56,470
+أو البحرية درجة حرارة عشان هيك بنلاقي هناك هجرة
+
+268
+00:27:56,470 --> 00:28:04,550
+للأسماك في المياه العالمية طب ليش بتهاجر؟ بسبب
+
+269
+00:28:04,550 --> 00:28:10,630
+تغير المناخ بسبب تغير المناخ فبنلاقي احنا أن
+
+270
+00:28:10,630 --> 00:28:16,940
+الأسماك في المناطق الباردة لا يمكن تعيش في المناطق
+
+271
+00:28:16,940 --> 00:28:23,080
+الحارة يعني لكل بيئة سمكية درجة الحرارة المناسبة
+
+272
+00:28:23,080 --> 00:28:27,040
+لها؟ عشان هيك بنلاقي أن الأسماك في المنطقة الباردة
+
+273
+00:28:27,040 --> 00:28:33,100
+تصلح للاستهلاك الآدمي أسماك المناطق الباردة زي
+
+274
+00:28:33,100 --> 00:28:39,180
+السلمون وزي البوري وزي السردين وخلافه تصلح
+
+275
+00:28:39,180 --> 00:28:44,660
+لاستهلاك الآدمين بينما أسماك المناطق الحارة تستخدم
+
+276
+00:28:44,660 --> 00:28:51,340
+كأعلاف للحيوانات أو لزراعة أو لزراعة ليش؟ لضخامة
+
+277
+00:28:51,340 --> 00:29:00,930
+أحجامها لضخامة أحجامها ولصلابة لحومها عشان هيك بنلاقي
+
+278
+00:29:00,930 --> 00:29:08,550
+أن درجة الحرارة هي المحدد الرئيسي للثروة المائية
+
+279
+00:29:08,550 --> 00:29:14,730
+أو نوع الأسماك كما
+
+280
+00:29:14,730 --> 00:29:21,070
+تؤثر درجة الحرارة على التصنيع على إيش؟ التصنيع
+
+281
+00:29:21,070 --> 00:29:27,440
+يعني اليوم إحنا في المنازل يعني من السهل جدا أن نست
+
+282
+00:29:27,440 --> 00:29:30,940
+البيت تعرف إذا كانت هذه السمكة طازجة في الصيد أو 
+
+283
+00:29:30,940 --> 00:29:36,880
+قديمة في الصيد صح؟ من خلال شكلها ونضجها ودرجة
+
+284
+00:29:36,880 --> 00:29:41,540
+الحرارة هنا أيضًا تؤثر بالتصنيع عشان هيك المناطق
+
+285
+00:29:41,540 --> 00:29:45,360
+المرتفعة الحرارة زي الحوض المتوسط على سبيل المثال
+
+286
+00:29:45,360 --> 00:29:51,880
+يجب أن يدخل للتبريد مباشرة صيد الأسماك فهمتوا هون؟
+
+287
+00:29:52,460 --> 00:29:57,220
+يجب أن يدخل للتبريد، عشان هيك بنلاقي سفن الصيد
+
+288
+00:29:57,220 --> 00:30:04,240
+مزودة بثلاجات، سفن الصيد مزودة بثلاجات عشان أي صيد
+
+289
+00:30:05,030 --> 00:30:09,490
+يأتي مبكرًا على طول يحفظ فيه بالتبريد حتى يظل إيش
+
+290
+00:30:09,490 --> 00:30:13,130
+لإن أنا عندي 12 ساعة إلى أن آتي إلى الأسواق
+
+291
+00:30:13,130 --> 00:30:19,990
+الاستهلاكية إذا درجة الحرارة تؤثر في عملية التصنيع 
+
+292
+00:30:19,990 --> 00:30:28,390
+بينما في المناطق الباردة يجمد ويصدر إلى الأسواق
+
+293
+00:30:28,390 --> 00:30:34,490
+العالمية طيب النوع الثاني من العوامل الطبيعية التي
+
+294
+00:30:34,490 --> 00:30:41,590
+تؤثر على صيد الأسماك هي اثنين؟ الضوء الساقط ودخول
+
+295
+00:30:41,590 --> 00:30:47,870
+الدنيا للضوء اه من المعروف أن النبات يحتاج لضوء
+
+296
+00:30:47,870 --> 00:30:52,850
+كي يقوم بعملية البناء الضوئي من أرضه فتحتاج
+
+297
+00:31:10,530 --> 00:31:19,710
+طيب ما أهمية الضوء؟ يعني إحنا شفنا الضوء للنبات
+
+298
+00:31:19,710 --> 00:31:27,280
+أنه يعمل على عملية التنفيذ الضوئي او البناء الضوئي 
+299
+00:31:27,280 --> 00:31:37,230
+للنبات أيضًا الضوء مهم لإنتاج الغذاء السمكي المسمى
+
+300
+00:31:37,230 --> 00:31:42,090
+الغذاء السمكي البلانكتون مرحبًا بكم البلانكتون 
+
+301
+00:31:42,090 --> 00:31:48,070
+هذا الضوء من أين يأخذ الضوء؟ من الشمس طبعًا يوجد في
+
+302
+00:31:48,070 --> 00:31:53,550
+المناطق الضحلة يوجد في المناطق الضحلة التي تم فيها
+
+303
+00:31:53,550 --> 00:31:58,010
+التمثيل الضوئي اللي يقوم بعملية إنتاج الغذاء
+
+304
+00:31:58,010 --> 00:32:01,970
+اللازم للأسماك طب من أين بيجي هذا الغذاء تبع
+
+305
+00:32:01,970 --> 00:32:09,190
+الأسماك؟ من هنا بيجي من هنا بيجي يعني الـ plankton
+
+306
+00:32:09,190 --> 00:32:22,090
+هذا من هنا بيجي هذه
+
+307
+00:32:22,090 --> 00:32:28,190
+مناطق تجمع الأسماك أو السمك الوفير يعني أنا بقول
+
+308
+00:32:28,190 --> 00:32:33,340
+غذاء الأسماك من هنا بيجي اليوم بنلاقي الأعلاف 
+
+309
+00:32:33,340 --> 00:32:38,160
+الإصطناعية تقدم للحيوانات اللي هي في التربة في
+
+310
+00:32:38,160 --> 00:32:44,230
+المنازل أو في الحظائر بدلًا من المراعي الأعشاب غذاء 
+
+311
+00:32:44,230 --> 00:32:48,830
+للثروة الحيوانية طيب الأسماك غذاؤها يسمى علميًا
+
+312
+00:32:48,830 --> 00:32:54,210
+البلانكتون من أين يجي البلانكتون هذا؟ فضلًا من 
+
+313
+00:32:54,210 --> 00:32:57,170
+خلال الحركة الرأسية التي تعمل على زيادة المواد 
+
+314
+00:32:57,170 --> 00:33:01,530
+الدقيقة التي كانت دقيقة إلى الأعلى فتعمل على
+
+315
+00:33:01,530 --> 00:33:04,330
+طراب العمليات البناء الضوئي فتتحول إلى البلانكتون
+
+316
+00:33:04,330 --> 00:33:09,190
+يعني ممكن تصنيع البلانكتون في مصانع زي الأعلاف
+
+317
+00:33:09,190 --> 00:33:10,070
+الحيوانية؟
+
+318
+00:33:12,210 --> 00:33:16,190
+أنا اللي بحكيه، اليوم أنت لما تروح على مدينة أصدقاء 
+
+319
+00:33:16,190 --> 00:33:23,730
+السياحية في قطاع غزة، بترموا للأسماك الخبز والكيكس
+
+320
+00:33:23,730 --> 00:33:28,110
+اللي معكوا أو .. اه؟ وبيتلقي السمك بتهتف عليها
+
+321
+00:33:28,110 --> 00:33:32,710
+وبياكلها لكن في غذاء في المياه له اسم الـ 
+
+322
+00:33:32,710 --> 00:33:36,570
+plankton هذا يأتي من المخلفات التي ترمى على
+
+323
+00:33:36,570 --> 00:33:40,610
+الشواطئ اليوم السياحة الشاطئية اللي بتروح على
+
+324
+00:33:40,610 --> 00:33:46,590
+البحار شو بتترك وراها؟ مخلفاتهم الغذائية مخلفاتهم
+
+325
+00:33:46,590 --> 00:33:52,760
+الغذائية رحمكم الله مخلفاتهم الغذائية هذا بيجي 
+
+326
+00:33:52,760 --> 00:33:58,700
+المادة البحرية على الشواطئ وبيسحبها تاني عليها ثم
+
+327
+00:33:58,700 --> 00:34:04,160
+تتمثل بالتمثيل الضوئي وتصبح غذاء صالحًا للأسماك
+
+328
+00:34:04,160 --> 00:34:08,280
+هل
+
+329
+00:34:08,280 --> 00:34:15,140
+تعلموا أن في هناك أسماك ما دام جبنا الضوء والضوء
+
+330
+00:34:15,140 --> 00:34:22,240
+مكان للرؤية في أسماك بلا عيون؟
+
+331
+00:34:22,240 --> 00:34:29,500
+الأسماك العميقة اللي في قاعان البحار إذا مد يده لم
+
+332
+00:34:29,500 --> 00:34:37,480
+يمكن يراها فلماذا العينين؟ ما دام هو في مناطق سحيقة في
+
+333
+00:34:37,480 --> 00:34:43,460
+عماق البحار المظلمة فليش العينين؟ إذا من خصائص
+
+334
+00:34:43,460 --> 00:34:48,000
+العينين الرؤية، وإذا كانت المنطقة مظلمة، ما بدناش 
+
+335
+00:34:48,000 --> 00:34:53,520
+عيون، فتتحسس بالشم الغذاء تبعه وتتغذى عليه،
+
+336
+00:34:53,520 --> 00:34:57,940
+فهمتوا؟ أكيد،
+
+337
+00:34:57,940 --> 00:35:04,510
+أكيد، أكيد الملوحة أيضًا من العوامل المؤثرة في
+
+338
+00:35:04,510 --> 00:35:10,530
+الأسماك هي الملوحة وعلى فكرة يعني عشان نقارن إحنا
+
+339
+00:35:10,530 --> 00:35:15,410
+بنفضل أسماك المياه المالحة أكثر من أسماك المياه
+
+340
+00:35:15,410 --> 00:35:22,570
+اللي عذبة ليش طيب؟ يعني اللي جبنا أسماك براك مياه
+
+341
+00:35:22,570 --> 00:35:27,230
+عذبة وأسماك مياه مالحة بنفضل المياه المالحة ليش؟
+
+342
+00:35:28,510 --> 00:35:30,690
+وأنتم ستات بيوت طبعًا لازم تعرف
+
+343
+00:35:37,350 --> 00:35:43,750
+يعني مثلًا يعني بالمذاق إحنا بنلاحظه بالمذاق
+
+344
+00:35:43,750 --> 00:35:50,790
+بنلاحظه أن سمك المياه العذبة الخالية من الملوحة و
+
+345
+00:35:50,790 --> 00:35:56,890
+سمك المياه المالحة اه هذه بتلاقيها دلعة وهذه 
+
+346
+00:35:56,890 --> 00:36:00,910
+بتلاقيها طيبة يعني كويسة للغذاء
+
+347
+00:36:03,960 --> 00:36:07,860
+عشان هيك بنلاقي الأملاح اللي موجودة في مياه البحر
+
+348
+00:36:07,860 --> 00:36:13,920
+أيضًا تدخل في أجسام الثروة السمكية بتأثر في بناء 
+
+349
+00:36:13,920 --> 00:36:19,460
+السمكية أكثر منها في المياه لإيش؟ العذبة الخالية من 
+
+350
+00:36:19,460 --> 00:36:25,760
+الأملاح ودي ضرورية طبعًا لبناء الأجسام السؤال 
+
+351
+00:36:25,760 --> 00:36:30,520
+الأملاح من وين إجت درجاتي بنسأل السؤال العادي دائمًا 
+
+352
+00:36:30,520 --> 00:36:37,530
+ليش مياه البحر والمحيطات مالحة؟ من الصخور .. الصخور
+
+353
+00:36:37,530 --> 00:36:42,570
+.. الصخور فيها كربونات .. الصخور فيها كربونات
+
+354
+00:36:42,570 --> 00:36:46,110
+صوديوم فبتذوب إلى إذا بدها وتاني تنتج الـ كل ..
+
+355
+00:36:46,110 --> 00:36:51,710
+اه اتفضلي من الصخور يعني لو عملناها في حوض بركة في
+
+356
+00:36:51,710 --> 00:36:54,690
+الجامعة الإسلامية بيصير ملحة اه
+
+357
+00:37:01,790 --> 00:37:06,830
+المياه الحارة بتكون شموس شديدة بتزيد نسبة التبخر و
+
+358
+00:37:06,830 --> 00:37:10,490
+بتزيد نسبة الأملاح صح وأصله أصل المنشأ يعني أصل
+
+359
+00:37:10,490 --> 00:37:13,790
+المنشأ يعني لماذا مياه البحار والمحيطات بهذه
+
+360
+00:37:13,790 --> 00:37:19,190
+الملوحة مع اختلاف كميتها ونسبتها يعني بنلاقي في
+
+361
+00:37:19,190 --> 00:37:23,410
+مصبات الأنهار كمية الأملاح بتقل بينما في الأعماق
+
+362
+00:37:23,410 --> 00:37:27,210
+أو في المناطق اللي زي ما قالت زميلتي تتبخر أكثر
+
+363
+00:37:27,210 --> 00:37:34,780
+بتزيد هي الأرض من مكوناتها الـ sodium الأملاح الأرض
+
+364
+00:37:34,780 --> 00:37:39,820
+من مكوناتها بنسبة كبيرة فلمّا كانت الأمطار تسقط عبر
+
+365
+00:37:39,820 --> 00:37:44,480
+الملايين السنين كانت تذيب كميات كبيرة من الأملاح
+
+366
+00:37:44,480 --> 00:37:49,880
+المكونة في التربة وتروح عليها حتى إيش ارتفعت نسبة
+
+367
+00:37:49,880 --> 00:37:54,740
+الأملاح في المياه السطحية أيضًا من العوامل الطبيعية
+
+368
+00:37:54,740 --> 00:38:03,170
+عندي حركات التيارات البحرية في عندي أنا دائمًا 
+
+369
+00:38:03,170 --> 00:38:09,670
+تيارات في 
+
+370
+00:38:09,670 --> 00:38:16,710
+عندي إيش؟ تيارات على الشواطئ تيار بارد وفي 
+
+371
+00:38:16,710 --> 00:38:23,370
+عندي تيار إيش؟ ساخن أو دافئ من أين بيجي التيار
+
+372
+00:38:23,370 --> 00:38:29,030
+البارد؟ من المناطق الباردة، من المناطق الباردة،
+
+373
+00:38:29,030 --> 00:38:31,990
+الساخن من مين بيجيه؟ من المناطق الاستوائية، من المناطق الاستوائية، من 
+
+374
+00:38:31,990 --> 00:38:32,490
+الاستوائية، من الاستوائية، من الاستوائية، من الاستوائية، من
+
+375
+00:38:32,490 --> 00:38:33,550
+الاستوائية، من الاستوائية، من الاستوائية، من الاستوائية، من
+
+376
+00:38:33,550 --> 00:38:33,630
+الاستوائية، من الاستوائية، من الاستوائية، من الاستوائية، من
+
+377
+00:38:33,630 --> 00:38:35,770
+الاستوائية، من الاستوائية، من الاستوائية، من الاستوائية، من
+
+378
+00:38:35,770 --> 00:38:36,490
+الاستوائية، من الاستوائية، من الاستوائية، من الاستوائية، من
+
+379
+00:38:36,490 --> 00:38:41,530
+الاستوائية، من الاستوائية، من الاستوائية، من الاستوائية، من
+
+380
+00:38:41,530 --> 00:38:46,930
+الاستوائية، من الاستوائية، من الـ تكثر السؤال بيقول ليه
+
+381
+00:38:46,930 --> 00:38:54,070
+أن هناك اختلاف في دوائر العرض التي يلتقي عندها
+
+382
+00:38:54,070 --> 00:38:59,810
+التيارات ليش يعني مثلًا اليوم التيارين يلتقوا هنا
+
+383
+00:38:59,810 --> 00:39:06,250
+بكره بلاقي التيارين هنا بكره بلاقي التيارين هنا
+
+384
+00:39:06,250 --> 00:39:09,570
+ما عنديش
+
+385
+00:39:09,570 --> 00:39:15,550
+مكان محدد ثابت لالتقاء التيارات الساحلية عشان هيك
+
+386
+00:39:15,550 --> 00:39:22,250
+تختلف مناطق الصيد من الشمال إلى الجنوب حسب مناطق
+
+387
+00:39:22,250 --> 00:39:25,310
+التقاء التيارات وهذا دائمًا سؤال بيجيبه في
+
+388
+00:39:25,310 --> 00:39:31,830
+الاقتصادية في الامتحانات اختلاف مناطق التقاء
+
+389
+00:39:31,830 --> 00:39:35,670
+التيارات الساحلية من منطقة لأخرى على مدار العالم
+
+390
+00:39:35,670 --> 00:39:40,450
+ليش؟
+
+391
+00:39:40,450 --> 00:39:42,110
+مين بقول ليش؟ إيش السبب؟
+
+392
+00:39:47,880 --> 00:39:54,540
+إيه سبب اختلاف هذه التيارات؟
+
+393
+00:39:54,540 --> 00:39:59,980
+الاختلاف 
+
+394
+00:39:59,980 --> 00:40:07,420
+في حركة الشمس الظاهرية حركة الشمس الظاهرية مين لحق
+
+395
+00:40:07,420 --> 00:40:14,840
+ورق الصلاة؟ معك ورق الصلاة؟ معك ورق الصلاة؟ إحنا
+
+396
+00:40:14,840 --> 00:40:21,090
+بنشوف اليوم أوقات الأذان بتختلف اليوم عن أمس و
+
+397
+00:40:21,090 --> 00:40:25,670
+بكره عن اليوم صح؟ نتيجة ليش؟ بعد الشمس عن فلسطين
+
+398
+00:40:25,670 --> 00:40:32,450
+الآن الشمس تتجه نحو الجنوب نحو مدار السرطان
+
+399
+00:40:32,450 --> 00:40:37,830
+وبالتالي يتباعد التيار الساحلي يعني تارطون بنلاقي
+
+400
+00:40:37,830 --> 00:40:43,310
+التيار البارد طويل جدًا وتيار الساحل قصير جدًا وتقرأ
+
+401
+00:40:43,310 --> 00:40:46,250
+العكس بتلاقي التيار الساخن طويل جدًا والتيار
+
+402
+00:40:46,250 --> 00:40:52,510
+البارد إيش؟ وعندي أهم في عندي تيارات كثيرة في
+
+403
+00:40:52,510 --> 00:41:01,060
+العالم تلتقي على شواطئ القارات تلتقي على شواطئ
+
+404
+00:41:01,060 --> 00:41:08,180
+القارات زي تيار كامتشاتكا البارد وتيار اليابان
+
+405
+00:41:08,180 --> 00:41:12,280
+الدافئ يعني اليوم عندي أنا كامتشاتكا عارفين أنتم
+
+406
+00:41:12,280 --> 00:41:19,460
+أين؟ كامتشاتكا البارد هاي شوفوا أين هاي كامتشاتكا
+
+407
+00:41:19,460 --> 00:41:28,540
+هذه كامتشاتكا وعندي هي اليابان ماشي؟
+
+408
+00:41:29,620 --> 00:41:35,560
+هي اليابان فبيجي تيار اليابان هنا مع تيار كامتشاتكا
+
+409
+00:41:35,560 --> 00:41:39,360
+البارد بيلتقيا في المكان اللي إيه تكثر فيه 
+
+410
+00:41:39,360 --> 00:41:45,040
+الأسماك التيار الثاني لبرادور 
+
+411
+00:41:45,040 --> 00:41:53,800
+وين لبرادور هذه شبه جزيرة لبرادور هي مصب نهر سان
+
+412
+00:41:53,800 --> 00:41:54,460
+لورانس 
+
+413
+00:41:57,120 --> 00:42:03,820
+ويجي هذا التيار لبرادور هذا تيار لبرادور تيار من هذا ما 
+
+414
+00:42:03,820 --> 00:42:10,720
+تيار إيش؟ الخليج الدافئ تيار هي فلوريدا وهي الخليج
+
+415
+00:42:10,720 --> 00:42:13,140
+المكسيكي
+
+416
+00:42:16,090 --> 00:42:21,370
+تيار لبرادور البارد من الشمال مع تيار الخليج
+
+417
+00:42:21,370 --> 00:42:25,050
+الدافئ بيلتقي على السواحل الشرقية للولايات المتحدة 
+
+418
+00:42:25,050 --> 00:42:32,390
+الأمريكية في كمان تيارات تيار 
+
+419
+00:42:32,390 --> 00:42:37,890
+بيرو في أمريكا الجنوبية كمان
+
+420
+00:42:40,480 --> 00:42:43,820
+هذه التيارات كلها في شرق القارات وفي غربها أكيد
+
+421
+00:42:43,820 --> 00:42:51,760
+ماشي إيه؟ إذا هذه الطائرات تعمل على تجميع الثروة
+
+422
+00:42:51,760 --> 00:42:58,580
+السمكية حولها هي طيار الخليج الدافع مع طيار
+
+423
+00:42:58,580 --> 00:43:02,700
+البرادور تحمل كثير من المواد الضوئية اللازمة 
+
+424
+00:43:10,230 --> 00:43:17,650
+النوع السادس من العوامل تعرج السواحل تعرج السواحل
+
+425
+00:43:18,480 --> 00:43:23,360
+وكثرة الخلجان يعني إحنا بنشوف النطاق الجزري اللي
+
+426
+00:43:23,360 --> 00:43:27,940
+موجود في إندونيسيا أو في اليابان عبارة عن يابس في
+
+427
+00:43:27,940 --> 00:43:33,560
+ماء أو ماء في يابس زي أوروبا على سبيل المثال هذا
+
+428
+00:43:33,560 --> 00:43:41,500
+التعرج بيكثر من الخلجان بيكثر من الخلجان والخلجان
+
+429
+00:43:41,500 --> 00:43:48,960
+طبعًا مناطق ضحلة، مناطق الضوء فيها متوفر وبالتالي
+
+430
+00:43:48,960 --> 00:43:52,320
+تكثر فيها الأسماك
+
+431
+00:43:55,830 --> 00:44:01,390
+أيضًا للعوامل اللي بتأثر بعض مناطق الصيد عن مسارات
+
+432
+00:44:01,390 --> 00:44:06,130
+السفن، عادة المناطق الرئيسية في السفن زي الخليج 
+
+433
+00:44:06,130 --> 00:44:12,430
+العربي زي البحر الأحمر زي البحر المتوسط هذه حركة 
+
+434
+00:44:12,430 --> 00:44:18,350
+السفن دائمة وإحنا بنشوف السفن يعني من أضرار السفن
+
+435
+00:44:18,350 --> 00:44:24,130
+رميها لزيوت، هذا اللي بتعمل على تلوث بيئة البحار
+
+436
+00:44:25,930 --> 00:44:29,550
+بالإضافة إلى صوتها طبعًا الأسماك بتخاف من هدير
+
+437
+00:44:29,550 --> 00:44:37,130
+السفن أو أصوات السفن فبتشرد، عشان إيه بنلاقي من
+
+438
+00:44:37,130 --> 00:44:41,090
+أفقر مناطق العالم في الـ site الخليج العربي والبحر
+
+439
+00:44:41,090 --> 00:44:46,210
+الأحمر والبحر المتوسط عشان هذا عبارة عن بيسموهم
+
+440
+00:44:46,210 --> 00:44:53,760
+قوافل السفن العربية زي قوافل القبل بالضبط، العوامل
+
+441
+00:44:53,760 --> 00:44:57,500
+البشرية أيضًا اللي هي بتساعد اللي هي التقدم
+
+442
+00:44:57,500 --> 00:45:04,300
+التكنولوجي اليوم، أساطيل العالم يعني بنلاقي دول
+
+443
+00:45:04,300 --> 00:45:08,420
+ضخمة تمتلك أساطيل صيد بتقعد شهر في البحر وشهرين
+
+444
+00:45:08,420 --> 00:45:15,950
+و تمتلك مصانع لتجميد الأسماك على ظهورها ولو
+
+445
+00:45:15,950 --> 00:45:21,990
+لهذا التقدم التكنولوجي اللي ساعد على أنه نقعد أشهر
+
+446
+00:45:21,990 --> 00:45:28,330
+في الماء، لما كان ذلك في صيد الأسماك في أعالي
+
+447
+00:45:28,330 --> 00:45:34,890
+البحار بين شهر وشهرين، الاتفاقيات الدولية من خلال
+
+448
+00:45:35,940 --> 00:45:40,500
+الـ المياه الإقليمية من خلال المياه الإقليمية بنلاقي 
+
+449
+00:45:40,500 --> 00:45:44,660
+دول بتقولك أن المياه الإقليمية تبعت 12 ميل ممنوع
+
+450
+00:45:44,660 --> 00:45:50,760
+أي دولة تخترقها وبالتالي بيصيد فيها الصيادين، تعاون 
+
+451
+00:45:50,760 --> 00:45:54,900
+الدولة في دولة، 200 كيلومتر المياه الإقليمية زي
+
+452
+00:45:54,900 --> 00:45:58,640
+الصومال على سبيس مان عشان هي تنشط القراصنة في
+
+453
+00:45:58,640 --> 00:46:05,380
+أعماق البحار، اختلفت المياق لـ 100 ميل و12 ميل لـ 3
+
+454
+00:46:05,380 --> 00:46:11,900
+ميل لـ 200 ميل وكذا فهذا بيؤدي إلى إيش؟ اتساع منطقة 
+
+455
+00:46:11,900 --> 00:46:16,440
+الصيد للدولة المشرفة على هذه المنطقة، القوانين
+
+456
+00:46:16,440 --> 00:46:21,720
+المحلية أيضًا أنه والله الأسماك الصغيرة ممنوع يتم
+
+457
+00:46:21,720 --> 00:46:26,720
+صيدها عشان تكبر ويتم عملية التكاثر الطبيعي
+
+458
+00:46:26,720 --> 00:46:32,550
+للأسماك، لكن إحنا بنشوف في غزة البذرة هذه اللي 
+
+459
+00:46:32,550 --> 00:46:39,510
+بتسميها البذرة عالميًا حرام تستغل وإحنا سمعنا إشارة
+
+460
+00:46:39,510 --> 00:46:43,930
+اللي فات تقريبًا أنه ما عادش يجي لي سمك من مصر لإن
+
+461
+00:46:43,930 --> 00:46:49,910
+مصر وضعت قوانين ممنوع الصيد البحري يعني أنا سمعت إن 
+
+462
+00:46:49,910 --> 00:46:56,130
+مصر منعت الصيد البحري عندها في فترة الإنتاج لكن 
+
+463
+00:46:56,130 --> 00:46:59,910
+عندنا في غزة بلاقي أن الصيادين بيجيبوا إيش؟ البذرة 
+
+464
+00:46:59,910 --> 00:47:06,670
+هذه وإذا ما انبعثش بترتمى ليش؟ طيب ضمن القوانين
+
+465
+00:47:06,670 --> 00:47:12,910
+المحلية ليش الصيادين بتاعونا بيجيبولنا هذه 
+
+466
+00:47:12,910 --> 00:47:17,970
+البذرة؟ هو حرام يعني لو تركت يتغذى عليها الأسماك
+
+467
+00:47:17,970 --> 00:47:23,830
+الكبيرة أو تكبر ويتم التكاثر الطبيعي للـ لش 
+
+468
+00:47:23,830 --> 00:47:30,290
+عندنا في غزة نقبل على صيد هذه الكائنات المحرمة في
+
+469
+00:47:30,290 --> 00:47:39,000
+الصيد؟ أو لا ما عنديش قانون محلي، ممتاز اتنين اتنين
+
+470
+00:47:39,000 --> 00:47:42,720
+الـ المياه الإقليمية لغزة وهو وضع استثنائي قليلة جدًا
+
+471
+00:47:42,720 --> 00:47:51,060
+ممتازة، تلاتة أنه شاطئ غزة 40 كيلومتر قليل يعني
+
+472
+00:47:51,060 --> 00:47:58,460
+يعني إذا سفته هيروح لغيري، أربعة
+
+473
+00:48:00,090 --> 00:48:06,630
+أنا نازل البحر مكلف حالي وقت وجهود ونفقات لما ناخد 
+
+474
+00:48:06,630 --> 00:48:10,970
+معايا شمبر غاز أو شيء بدي أروح بـ بـ يعني
+
+475
+00:48:10,970 --> 00:48:16,750
+بقولك بجرشين يعني الـ ولا لا؟ وبالتالي ما عندناش
+
+476
+00:48:16,750 --> 00:48:23,210
+قوانين تحمل الصيادين، وبالتالي الصياد بياخد الأمر على 
+
+477
+00:48:23,210 --> 00:48:27,910
+عِدّه وبيروح إنه بحاجة للولاد زي ما بيقولوا عندنا
+
+478
+00:48:27,910 --> 00:48:35,610
+الأسواق طبعًا لازمة له تسويق الإنتاج السمكي تسويق و
+
+479
+00:48:35,610 --> 00:48:41,210
+أعتقد أنه تنتشر أسواق بيع الأسماك في جميع أنحاء
+
+480
+00:48:41,210 --> 00:48:42,010
+العالم
+
+481
+00:48:50,170 --> 00:48:55,210
+بهيش أنه ممكن يتراعى الإنسان العادات والتقاليد زي
+
+482
+00:48:55,210 --> 00:48:58,670
+ما شوفنا الكاثوليك مثلًا ببريطانيا بيحبوا ياخدوا
+
+483
+00:48:58,670 --> 00:49:02,790
+أسماك يوم الجمعة وبالتالي ازداد الطلب على الأسماك 
+
+484
+00:49:02,790 --> 00:49:10,750
+يوم الجمعة، عنا في الإسلام زي ما قلنا سابقًا الأسماك 
+
+485
+00:49:10,750 --> 00:49:16,900
+مش من الثقافة الغذائية الأصلية يعني لأن الإسلام نشأ
+
+486
+00:49:16,900 --> 00:49:22,020
+في البر ولم ينشأ في البحار أو على البحار وبالتالي
+
+487
+00:49:22,020 --> 00:49:27,640
+لو غابت عندنا الأسماك شهر ما بندورش عليه لكن إحنا
+
+488
+00:49:27,640 --> 00:49:30,260
+عندنا رغم أننا ناكل أسماك زي ما قلنا هي أولًا
+
+489
+00:49:30,260 --> 00:49:36,700
+الطبيعية 100%، التوزيع السكاني والله إذا كان الناس
+
+490
+00:49:36,700 --> 00:49:41,580
+ساكنة على البحار غصب عنهم هيأكلوا أسماك، وإذا مش
+
+491
+00:49:41,580 --> 00:49:44,380
+ساكنين على البحار يعني بعيدين عن البحار مئات
+
+492
+00:49:44,380 --> 00:49:51,660
+الكيلومترات هيعتمدوا على الإنتاج المحلي، الـ PA مناطق
+
+493
+00:49:51,660 --> 00:49:55,880
+الصيد في العالم خلصناها، مناطق الصيد في العالم
+
+494
+00:49:55,880 --> 00:50:02,280
+سواحل الشمالية الشرقية لأمريكا الشمالية، هذه من
+
+495
+00:50:02,280 --> 00:50:03,720
+أهم مناطق الصيد في العالم
+
+496
+00:50:07,410 --> 00:50:13,830
+زي ما شفنا نرسمها تبدأ من خليج المكسيك ماشي
+
+497
+00:50:13,830 --> 00:50:23,250
+فلوريدا شبه الجزيرة فلوريدا من شمال إلى مصب نهر
+
+498
+00:50:23,250 --> 00:50:30,810
+الست لورنز نطلع لشبه الجزيرة البرادور ماشي، هاي شرق
+
+499
+00:50:30,810 --> 00:50:35,610
+أمريكا الشمالية
+
+500
+00:50:37,360 --> 00:50:40,940
+طبعًا زي ما قلنا فيها تيارين هو تيار البرادور
+
+501
+00:50:40,940 --> 00:50:44,420
+والخليج والشط الثاني
+
+502
+00:50:49,160 --> 00:50:53,720
+المنطقة الثانية طبعًا في هناك موانئ للصيد يعني 
+
+503
+00:50:53,720 --> 00:51:01,220
+مخصصة للصيد هي مثل ميناء ليفياكيس وميناء سان جونز
+
+504
+00:51:01,220 --> 00:51:08,160
+وميناء أيضًا في كندا بورتلاند، بورتلاند في الولايات
+
+505
+00:51:08,160 --> 00:51:14,600
+المتحدة الأمريكية، سواحل شمال غرب أوروبا سواحل شمال
+
+506
+00:51:14,600 --> 00:51:17,700
+غرب إيش؟ أوروبا بتبدأ من
+
+507
+00:51:21,460 --> 00:51:28,680
+الشيء اسمها إسبانيا والبرتغال خليج البسكاي نيجي
+
+508
+00:51:28,680 --> 00:51:37,490
+لفرنسا، شط الدوفر فيه وبعدين الدنمارك وبعدين تجيني
+
+509
+00:51:37,490 --> 00:51:43,410
+البحر البلقي والسويد والنرويج، هذه المنطقة طبعًا
+
+510
+00:51:43,410 --> 00:51:48,630
+بريطانيا من أهم ناطق الصيد في العالم هذه بيسميها
+
+511
+00:51:48,630 --> 00:51:51,910
+شمال غرب أوروبا
+
+512
+00:51:53,890 --> 00:51:58,590
+ماشي وفي عندي منطقة اللي هي Iceland أيضًا من مناطق
+
+513
+00:51:58,590 --> 00:52:05,310
+السيط الرئيسية في العالم، وي لها أسطول قوي، المنطقة
+
+514
+00:52:05,310 --> 00:52:10,470
+الثالثة عندي إيش؟ يعني في عندي شاطئوفر يعني من
+
+515
+00:52:10,470 --> 00:52:17,980
+الشطوط اللي موجودة في أوروبا، سواحل الشمال شرق آسيا
+
+516
+00:52:17,980 --> 00:52:27,200
+الشرق آسيا ماليزيا الصين فيتنام طبعًا كوريا وبعدين
+
+517
+00:52:27,200 --> 00:52:36,420
+هنا رجعنا لكماتيكا وهي اليابان، ماشي هذه شرق آسيا
+
+518
+00:52:36,420 --> 00:52:40,280
+من المناطق الرئيسية في صيد الأسماك
+
+519
+00:52:43,000 --> 00:52:49,180
+سباحة الشمال الغرب أمريكا الشمالية لمنطقة الاسكا
+
+520
+00:52:49,180 --> 00:52:56,880
+منطقة الاسكا انتبهوا ما ده بنوزع جغرافيا ضروري رسم 
+
+521
+00:52:56,880 --> 00:53:02,780
+الخريطة هاي الاسكا طبعًا وهاي الغرب نصل لسان
+
+522
+00:53:02,780 --> 00:53:09,600
+فرانسيسكو اللي هي غرب أمريكا الشمالية
+
+523
+00:53:11,600 --> 00:53:16,960
+من المناطق الصيد هذه Alaska طبعًا هذه الولاية لمين؟
+
+524
+00:53:16,960 --> 00:53:25,000
+للولايات المتحدة الأمريكية، غرب شيلي وبيرو في
+
+525
+00:53:25,000 --> 00:53:34,240
+أمريكا الجنوبية، في أمريكا الجنوبية طبعًا هاي شيلي
+
+526
+00:53:34,240 --> 00:53:39,940
+أمريكا الجنوبية بهذا الشكل شيلي
+
+527
+00:53:41,660 --> 00:53:48,600
+و بيرو في أمريكا
+
+528
+00:53:48,600 --> 00:53:53,520
+الجنوب في مناطق سيط ثانوية طبعًا عند اللي هي البحار
+
+529
+00:53:53,520 --> 00:54:01,380
+أو البحار الداخلية زي البحر المتوسط والبحر الأحمر
+
+530
+00:54:01,380 --> 00:54:03,440
+والخليج العربي
+
+531
+00:54:07,510 --> 00:54:12,210
+صيد المياه العظمى اللي موجود في البحار الداخلية أو
+
+532
+00:54:12,210 --> 00:54:18,850
+البحيرات الداخلية دي طبعًا نسبته قليلة في المشكلات
+
+533
+00:54:18,850 --> 00:54:24,270
+اللي بتواجه الصيد، التقدم التكنولوجي أنه دخل لأعماق
+
+534
+00:54:24,270 --> 00:54:30,510
+بعيدة في البحار وبعدين الشباب يعمل فيها التلوث 
+
+535
+00:54:30,510 --> 00:54:34,190
+البحري بنشوف إحنا الملوثات اللي بترمى سواء من السفن
+
+536
+00:54:34,190 --> 00:54:39,860
+أو من الإنسان سواء كانت تسرب النفط أو المخلفات
+
+537
+00:54:39,860 --> 00:54:46,280
+المدن أو الصيد الجائر أو القوانين الخاصة بتنظيم
+
+538
+00:54:46,280 --> 00:54:55,300
+عملية الاتجاه العالمي بينتج حوالي كام؟ 86 مليون طن
+
+539
+00:54:55,300 --> 00:55:00,620
+من الإنتاج البحري، طبعًا هذا موزع على القارات زي 
+
+540
+00:55:00,620 --> 00:55:04,820
+موجودة في النسبة التجارة الدولية ليه الأسماك؟ وين
+
+541
+00:55:04,820 --> 00:55:10,960
+هيروح الأسماك سواء للأسواق العالمية للأسواق 
+
+542
+00:55:10,960 --> 00:55:15,360
+العالمية ورضي الله عنكم وأرضاكم
diff --git a/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/fEUBK2HT888_raw.json b/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/fEUBK2HT888_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..1f804480ae2181c72b7154c24333c09769221268
--- /dev/null
+++ b/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/fEUBK2HT888_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 268, "start": 0.0, "end": 2.68, "text": "موسيقى", "tokens": [2304, 41779, 1829, 4587, 7578], "avg_logprob": -0.3134765724341075, "compression_ratio": 0.5714285714285714, "no_speech_prob": 0.00563812255859375, "words": [{"start": 0.0, "end": 2.68, "word": "موسيقى", "probability": 0.7559814453125}], "temperature": 1.0}, {"id": 2, "seek": 3843, "start": 14.41, "end": 38.43, "text": "يا رب بسم الله و صلاة والسلام على رسول الله طبعا في البداية كل عام انت بخير و بصحة جيدة ان شاء الله تعالى ان شاء الله بيكون عام كل عيد على الفلسطين والعرب والمسلمين نكمل طبعا ال .. في الجغرافة الاقتصادية الشقة الثانية من", "tokens": [25528, 12602, 3555, 4724, 38251, 21984, 4032, 20328, 15040, 3660, 16070, 3794, 37440, 15844, 12602, 3794, 12610, 21984, 23032, 3555, 3615, 995, 8978, 29739, 28259, 10632, 28242, 6225, 10943, 16472, 2655, 4724, 9778, 13546, 4032, 4724, 9381, 5016, 3660, 10874, 25708, 3660, 16472, 13412, 16606, 21984, 37279, 6027, 7578, 16472, 13412, 16606, 21984, 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\ No newline at end of file
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index 0000000000000000000000000000000000000000..4bdc77f2585a7f2d967e514fdbb60e1f4ad29f20
--- /dev/null
+++ b/PL9fwy3NUQKwaRkzMPWkHZLUPk7PWAES1Y/zUv-i8iiIe8_postprocess.srt
@@ -0,0 +1,2456 @@
+1
+00:00:12,560 --> 00:00:18,660
+بسم الله والصلاة والسلام على رسول الله السلام
+
+2
+00:00:18,660 --> 00:00:24,780
+عليكم ورحمة الله وبركاته طبعا اليوم هناخد فصل جديد
+
+3
+00:00:24,780 --> 00:00:32,000
+اللي هو هوالمشكلات الغذائية في العالم لكن قبل ما
+
+4
+00:00:32,000 --> 00:00:39,900
+نتكلم في هذا الفصل نشوف ايش ملاحظاتنا على الفصل
+
+5
+00:00:39,900 --> 00:00:46,780
+الخامس اللي هي الغلاط الزراعية في العالم درسنا
+
+6
+00:00:46,780 --> 00:00:52,940
+مجموعة من الغلاط الزراعية ما الذي تلاحظ ..
+
+7
+00:00:52,940 --> 00:01:01,410
+تلاحظونهفي الفصل الخامس في دراسة الغلات الزراعية
+
+8
+00:01:01,410 --> 00:01:11,190
+يعني شو اللي لفت انتباهك في هذا الفصل؟
+
+9
+00:01:30,960 --> 00:01:38,350
+لأ، تفهمتش غلاط؟غلاد مدرية وغلاد باردة وإن الدول
+
+10
+00:01:38,350 --> 00:01:42,950
+المتقدمة هي أكتر دول منتجة لهذه الغلاد طبعا لأ
+
+11
+00:01:42,950 --> 00:01:47,890
+ايضا لاحظت أن الفصل الخامس هو زيادة عدد السكان أدى
+
+12
+00:01:47,890 --> 00:01:53,850
+إلى زيادة الطلب على هذه الغلاد المدرية مش صحيح
+
+13
+00:01:53,850 --> 00:01:59,570
+المقامة هي أكبر غلة زراعية أكبر غلة يعني فهي تعتبر
+
+14
+00:01:59,570 --> 00:02:07,340
+هي مصدر للإنترنتاحنا لاحظنا عشان .. أخر واحدة ..
+
+15
+00:02:07,340 --> 00:02:10,720
+أنا
+
+16
+00:02:10,720 --> 00:02:14,160
+هقولكوا إيش لاحظنا علشان .. لأن هو ده السؤال اللي
+
+17
+00:02:14,160 --> 00:02:18,700
+أنا فكرت فيه الليلة يعني فكرت قولنا نفتح فيه
+
+18
+00:02:18,700 --> 00:02:28,680
+المحاضرة و نشوف فقدرت بالسؤاللاحظنا ان غالبية
+
+19
+00:02:28,680 --> 00:02:33,860
+الغلات الزراعية اللي احنا درسناها هي غلات مدارية
+
+20
+00:02:33,860 --> 00:02:39,980
+ولا مش صحيح؟ ولا
+
+21
+00:02:39,980 --> 00:02:45,060
+مش صحيح؟ جميع الغلات الزراعية اللي احنا درسناها
+
+22
+00:02:45,060 --> 00:02:51,980
+غالبية الغلات الزراعية باستثناء البنجر والقهر هي
+
+23
+00:02:51,980 --> 00:02:59,190
+غلات مدارية ولا مش صحيح؟كلها تحتاج إلى درجة حرارة
+
+24
+00:02:59,190 --> 00:03:05,210
+مرتفعة اي الملاحظة اللي لازم انتوا لو درستوا الفصل
+
+25
+00:03:05,210 --> 00:03:10,230
+بامعاه كان كله غلة مدرية غلة مدرية غلة مدرية غلة
+
+26
+00:03:10,230 --> 00:03:15,670
+مدرية باستثناء القمح والبنجر القمح غلة معتادلة
+
+27
+00:03:15,670 --> 00:03:25,580
+والبنجر غلة باردة ماشي؟ طيب قبل ما نقولمشكلات
+
+28
+00:03:25,580 --> 00:03:33,060
+الغذاء في العالم نسأل سؤال علينا هل هناك مشكلة
+
+29
+00:03:33,060 --> 00:03:40,680
+غزائية في العالم؟ هل هناك مشكلة غزائية في العالم؟
+
+30
+00:03:40,680 --> 00:03:47,720
+اللي بيقول لأ يبرر ليش لأ؟ و اللي بيقول نعم يبرر
+
+31
+00:03:47,720 --> 00:03:53,440
+ليش نعم؟في آية بالقرآن ذكرت على أنه اللي هي الأرض
+
+32
+00:03:53,440 --> 00:03:57,860
+فيها موارد كتيرة والإنسان مش مستغلها صح أن الإنسان
+
+33
+00:03:57,860 --> 00:04:01,480
+و الأعداد السكانية تزداد لكن الموارد اللي لسه
+
+34
+00:04:01,480 --> 00:04:04,620
+مستغلت فيه موارد لسه موجودة في باطن الأرض وعلى
+
+35
+00:04:04,620 --> 00:04:08,000
+باطن الأرض لم يتم استخدامها هيك يعني؟ اه هي بس مش
+
+36
+00:04:08,000 --> 00:04:10,620
+ذاكرة الآية مش ذاكرة الآية طيب ان شاء الله ربنا
+
+37
+00:04:10,620 --> 00:04:15,380
+يجيب يديك شوف أنا بدي أقولكم ملحوظ أه؟ أستاذ خالد
+
+38
+00:04:15,750 --> 00:04:19,930
+وأتاكم لكل ما سألتموه وأتاكم لكل ما سألتموه لأ مش
+
+39
+00:04:19,930 --> 00:04:24,770
+هذه الآية أنا بدي أقول ملحوظة يعني يعني وإحنا نقرأ
+
+40
+00:04:24,770 --> 00:04:30,670
+القرآن وخاصة في رمضان في آيات تستوقفنا وضرورية
+
+41
+00:04:30,670 --> 00:04:36,010
+للحياة في آيات تستوقفنا وضرورية للحياة هذه حبازة
+
+42
+00:04:36,010 --> 00:04:40,070
+لو إحنا إيه سجلناها في ضفة نوتة صغيرة بحيث إن إحنا
+
+43
+00:04:40,070 --> 00:04:49,670
+بستخدمها دايماأو نبطع فيها دايما هل
+
+44
+00:04:49,670 --> 00:05:05,590
+هناك فيه مشكلة غزائية في العالم؟ لإنه
+
+45
+00:05:05,590 --> 00:05:12,040
+باستخدام التكنولوجياوهو اللي مموته في الصومال و
+
+46
+00:05:12,040 --> 00:05:20,980
+الحفشة و السوق استخدام ممكن اقول انا ماعنديش مشكلة
+
+47
+00:05:20,980 --> 00:05:28,800
+غزائية في العالم لو احسن استغلال الأراضي الزراعية
+
+48
+00:05:28,800 --> 00:05:36,220
+ماشي هذا واحد ممتاز اتنين انا عندى سوق توزيعسوق
+
+49
+00:05:36,220 --> 00:05:41,520
+توزيع احنا بنشوف ناس ترمى الغلاط الذراعى فى البحر
+
+50
+00:05:41,520 --> 00:05:47,040
+وفى ناس بتموت من الجوع عشان تحافظ على السياسة
+
+51
+00:05:47,040 --> 00:05:52,220
+التسعيرية للغلاط الذراعى بترمى جزء منها المنتوج
+
+52
+00:05:52,220 --> 00:05:59,430
+وين فى البحر اذا مافيشاستغلال امثل للمساحات
+
+53
+00:05:59,430 --> 00:06:04,570
+القابلة للصراعة وبالتالي في عندنا نقص اتنين في
+
+54
+00:06:04,570 --> 00:06:12,870
+عندنا سوء التوزيع اسلاميا بنسميه عدالة بنسميه
+
+55
+00:06:12,870 --> 00:06:19,110
+عدالة ان انا ماعنديش عدالة في التوزيع ناس تستحوذ
+
+56
+00:06:19,110 --> 00:06:25,620
+علىإنتاج القيمة في العالم وهي اللي بتتلاعب السياسة
+
+57
+00:06:25,620 --> 00:06:31,440
+التسعيرية وانتجارة الدولية لإغلاق فاهمنا؟ نجيب
+
+58
+00:06:31,440 --> 00:06:35,280
+تلاتة من عندكم يعني انا مش كل الأراضي الزراعية
+
+59
+00:06:35,280 --> 00:06:39,660
+بتنزرع فهذا سوق استغلال اتنين مافيش عدالة في
+
+60
+00:06:39,660 --> 00:06:47,680
+التوزيع تلاتة نجيب حاجة واحدة الاحتكار
+
+61
+00:06:47,680 --> 00:06:50,980
+الاحتكار
+
+62
+00:06:52,710 --> 00:06:56,730
+يعني ليش؟ القمح خمس شركات عالمية هي اللي بتحتكر
+
+63
+00:06:56,730 --> 00:07:04,350
+القمح وبالتالي
+
+64
+00:07:04,350 --> 00:07:10,990
+أصبح القمح زي ما شوفنا من خلال سياسة الابتزاز
+
+65
+00:07:10,990 --> 00:07:16,340
+السياسي، بدك تاكل؟ يلا نزلو هذا شفناه كتير في
+
+66
+00:07:16,340 --> 00:07:20,580
+القضية الفلسطينية و لا لا؟ طيب ندخل على الموضوع
+
+67
+00:07:20,580 --> 00:07:27,020
+الآن مشكلات الغذاء في العالم أولا النمو السكاني و
+
+68
+00:07:27,020 --> 00:07:34,260
+أزمة الغذاء أختكم طبعافي البداية قالت ممكن أشرح
+
+69
+00:07:34,260 --> 00:07:41,300
+طبعا ممكن أي واحدة منكم تتحضر الموضوع وتتفضل تشرح
+
+70
+00:07:41,300 --> 00:07:50,300
+على السبورة إن هناك تعقيب فنحن جاهزون إذا تفضل
+
+71
+00:08:07,820 --> 00:08:11,400
+والصلاة والسلام علي سيدنا محمد صلى الله عليه وسلم
+
+72
+00:08:11,400 --> 00:08:15,980
+أما بعد أخوات الحبيبات أسعل الله صباحكم جميعا
+
+73
+00:08:15,980 --> 00:08:19,580
+وأحييكم بتحية الإسلام العظيم فالسلام عليكم ورحمة
+
+74
+00:08:19,580 --> 00:08:23,420
+الله وبركاته وصلنا في الجغرافيا الأقتصادية إلى
+
+75
+00:08:23,420 --> 00:08:27,840
+الفصل السادس ويتحدث عن المشكلة .. مشكلات الغذاء في
+
+76
+00:08:27,840 --> 00:08:32,750
+العالمطبعا لا أحد يعرف متى .. منذ .. متى بدأت هذه
+
+77
+00:08:32,750 --> 00:08:37,290
+المشكلة ولكنها بدأت تطفو منذ القائم في السبعينات
+
+78
+00:08:37,290 --> 00:08:42,610
+منذ القرن الماضي فنجد أن حوالي أربعين مليون ناس
+
+79
+00:08:42,610 --> 00:08:48,030
+يعانون من الجوع ويموتون من الجوع بسبب الفقر وخاصة
+
+80
+00:08:48,030 --> 00:08:52,970
+في الدول الفقيرةبالمقابل نجد أن في الدول المتقدمة
+
+81
+00:08:52,970 --> 00:08:57,170
+أنهم يعيشون في رغل وزيادة في الإنتاج والمشكلة هي
+
+82
+00:08:57,170 --> 00:09:00,290
+في الدول المتقدمة هي زيادة الإنتاج ف ..
+
+83
+00:09:00,290 --> 00:09:04,850
+كالأقينوسيا أيضا و أمريكا الشمالية و الأوروبا
+
+84
+00:09:04,850 --> 00:09:09,450
+فيقومون في بعض الأحيان إلى رمي هذا الفائد في البحر
+
+85
+00:09:09,450 --> 00:09:14,190
+حتى يحافظوا على أسعاره في الأسواق العالمية وفي بعض
+
+86
+00:09:14,190 --> 00:09:18,190
+الأحيان يستخدموا .. يستخدموا هذا الفائد كعملية
+
+87
+00:09:18,190 --> 00:09:24,570
+ابتزاز سياسيأيضا هناك يتوقع أن عدد السكان يصبح في
+
+88
+00:09:24,570 --> 00:09:29,770
+عام 2020 يتوقع أن يكون عدد السكان تمانية .. تمانية
+
+89
+00:09:29,770 --> 00:09:35,590
+مليار نسمة ونلاحظ أن العالم يمر في زيادة للسكان
+
+90
+00:09:35,940 --> 00:09:39,920
+وتكون زيادة السكان هذه على حسب الأراضي الزراعية
+
+91
+00:09:39,920 --> 00:09:44,200
+الصالحة للزراعة وأن حوالي خمسة وسبعين في المية من
+
+92
+00:09:44,200 --> 00:09:48,760
+زيادة السكان تكون في الدول المتخلفة والفقيرة وتكون
+
+93
+00:09:48,760 --> 00:09:53,060
+هذه زيادة لعدد أسباب، مني احكيلي يا ريان؟
+
+94
+00:09:57,760 --> 00:10:01,100
+صحيح ارتفاع مستوى المعيشة بعد الثورة الصناعية
+
+95
+00:10:01,100 --> 00:10:06,840
+العالم شهد ارتفاع في الدخول وارتفاع في مستوى
+
+96
+00:10:06,840 --> 00:10:11,100
+المعيشة فادى الى زيادة الطلب على السلع الغذائية
+
+97
+00:10:11,100 --> 00:10:15,400
+ايضا سبب تاني يا روان؟
+
+98
+00:10:15,400 --> 00:10:18,860
+التقدم الصحي فالتقدم الصحي ادى الى انخفاض مستوى
+
+99
+00:10:18,860 --> 00:10:22,480
+الوفيات نتيجة القضاء على بعض الأمراض ايضا
+
+100
+00:10:25,480 --> 00:10:29,620
+ارتفاع معدلات النمو اتفصل في بعض الدول إلى 3% سنة
+
+101
+00:10:29,620 --> 00:10:33,680
+صحيح، ارتفاع معدلات النمو وصلت في بعض الأحيان إلى
+
+102
+00:10:33,680 --> 00:10:39,640
+3% وأيضا سبب رابع يا إسلام انخفاض مستوى التعليم
+
+103
+00:10:39,640 --> 00:10:43,060
+والثقافة لدى المجتمعات المتخلفة أيضا انخفاض مستوى
+
+104
+00:10:43,060 --> 00:10:46,580
+التعليم والثقافة لدى المجتمعات المتخلفة طب كيف ..
+
+105
+00:10:46,580 --> 00:10:49,040
+كيف هذه سهمت في زيادة السكان؟
+
+106
+00:10:52,400 --> 00:10:56,320
+في الدول المتخلفة في عندهم انخفاض في مستوى الثقافة
+
+107
+00:10:56,320 --> 00:10:59,800
+والتعليم وبالتالي عندهم القبائل انهم يزيدوا في عدد
+
+108
+00:10:59,800 --> 00:11:05,480
+.. في عدد أفراد الأسرة وتكون يعني عزوة .. عزوة
+
+109
+00:11:05,480 --> 00:11:08,720
+لهذه الأسرة، أيضا هناك ..
+
+110
+00:11:15,710 --> 00:11:21,050
+أيضا هناك تتعدد أسباب المشكلة في العالم، وأول سبب
+
+111
+00:11:21,050 --> 00:11:25,410
+هي السجان والتحضر، طب مين يعني ده أسئلة أنا هيك
+
+112
+00:11:25,410 --> 00:11:29,290
+عشان تتفاعل معايا؟ كيف السجان والتحضر سهمت في إنها
+
+113
+00:11:29,290 --> 00:11:31,370
+مشكلة للغذاء في العالم؟
+
+114
+00:11:36,010 --> 00:11:39,150
+المشكلة كانت أن أهم المشكلات المسببة للغدا حاكبت
+
+115
+00:11:39,150 --> 00:11:42,170
+إزاي تستخترع من المعدلات المصالفية في حد ذات
+
+116
+00:11:42,170 --> 00:11:46,750
+المجتمع و هم أهلا بيكونوا في حاجة للغدا فستارت أن
+
+117
+00:11:46,750 --> 00:11:50,050
+يكون على حساب الأراضي الزراعية أخدوا تطور كتير من
+
+118
+00:11:50,050 --> 00:11:51,530
+القرى و تصبح مثلا
+
+119
+00:12:06,060 --> 00:12:09,820
+صحيح إن السكان والتحذر هي بحيث ذاتها مشكلة كبيرة
+
+120
+00:12:09,820 --> 00:12:13,580
+في إدارةتعاني منها في الغذاء في العالم كيف هذه؟
+
+121
+00:12:13,580 --> 00:12:18,000
+فعندما يتزيد عدد السكان فإنه يصير زحف عمراني لهذه
+
+122
+00:12:18,000 --> 00:12:22,980
+المنطقة وبالتالي المساكن العمرانية تحول محل
+
+123
+00:12:22,980 --> 00:12:28,120
+الأراضي الزراعية وتتحول الأرياض القرى إلى مدن
+
+124
+00:12:28,120 --> 00:12:31,340
+وبالتالي يقل انه يصير الأراضي الزراعية في هذه
+
+125
+00:12:31,340 --> 00:12:35,460
+المنطقة أيضا
+
+126
+00:12:35,460 --> 00:12:40,860
+الصراعات المحلية الصراعات المحليةممكن واحدة تحكيل
+
+127
+00:12:40,860 --> 00:12:51,020
+كيف يعني؟ تفضلي يا روان روان سرعات
+
+128
+00:12:51,020 --> 00:12:54,180
+المهالية هناك مشاكل داخلية تكون في أهل الدول خاصة
+
+129
+00:12:54,180 --> 00:12:57,740
+في سودان وسمارة دول أفريقية غالبا هذه السرعات تعمل
+
+130
+00:12:57,740 --> 00:13:04,120
+على أن الدول المتصارعة لإجهاد ما تحتاجه من
+
+131
+00:13:04,120 --> 00:13:05,740
+المحاصيل السورعية اللي مخارج
+
+132
+00:13:09,120 --> 00:13:13,600
+الصراعات المحلية زي السودان والصومال فهي تعاني من
+
+133
+00:13:13,600 --> 00:13:19,320
+صراعات محلية وبالتالي تضطر إلى شراء السلاح والغذاء
+
+134
+00:13:19,320 --> 00:13:23,400
+تستورده يعني مافيش حاجة إنها ماريداش تصنع غذاء
+
+135
+00:13:23,400 --> 00:13:28,320
+فتستورد الغذاء لإن في صراعات محلية في هذه البلاد
+
+136
+00:13:28,320 --> 00:13:33,640
+أيضا سوء عمليات توزيع الغذاءكثير من المستحق ..
+
+137
+00:13:33,640 --> 00:13:38,620
+المستحقات الغذائية لا تصل إلى مستحقيها بسبب
+
+138
+00:13:38,620 --> 00:13:42,620
+القراصنة تكون في البحار أو في البرد و بالتالي
+
+139
+00:13:42,620 --> 00:13:46,080
+يستولوا عهلة هذه المواد الغذائية و بالتالي انها لا
+
+140
+00:13:46,080 --> 00:13:50,420
+تصل إلى مستحقيها فهذه أيضا مشكلة من أسباب مشكلة
+
+141
+00:13:50,420 --> 00:13:55,940
+الغذاء المشكلة المشكلة المشكلة
+
+142
+00:14:06,810 --> 00:14:10,750
+صحيح، هاي مثال حكتنا أسماء هو مثال عواقعنا في قطع
+
+143
+00:14:10,750 --> 00:14:16,230
+غزة، إنه في المواد الغذائية لا تصل لمستحقها،
+
+144
+00:14:16,230 --> 00:14:19,970
+وبالتالي في قرصانة في البحر تعمل على الاستيلاء على
+
+145
+00:14:19,970 --> 00:14:26,200
+هذه السفن البحرية المحملة بالغذاءأيضا سوق التخزين
+
+146
+00:14:26,200 --> 00:14:31,400
+كثير من المواد الغذائية تصيبها التلف أو فوات
+
+147
+00:14:31,400 --> 00:14:35,600
+الصلاحية و ذلك نتيجة سوق التخزين فعلى سبيل المثال
+
+148
+00:14:35,600 --> 00:14:39,240
+أيضا سوق التخزين سبب باتلف تلاتين في المية من
+
+149
+00:14:39,240 --> 00:14:43,220
+المحصول الغذائي في تنزانيا و ذلك بواسطة الحشرات
+
+150
+00:14:43,220 --> 00:14:47,950
+فهذه أيضا مشكلة من مشاكل الغذاءأيضًا التباين
+
+151
+00:14:47,950 --> 00:14:52,610
+الجغرافي في إنتاج الغذاء، هناك دول لديها فائض ودول
+
+152
+00:14:52,610 --> 00:14:56,630
+لديها حاجة لهذه الغذاء، زي ما حكينا إنه في
+
+153
+00:14:56,630 --> 00:15:01,230
+القيونوسيا وأوروبا وأمريكا الشمالية، فإنها تعاني
+
+154
+00:15:01,230 --> 00:15:04,790
+.. المشكلة عندها هي زيادة الإنتاج، وبالتالي إنها
+
+155
+00:15:04,790 --> 00:15:09,110
+ترمي بالبحر أو إنها تكون في عملية الابتزاز السياسي
+
+156
+00:15:09,110 --> 00:15:12,830
+وفي .. بالمقابل نشرت أن الدول الفقيرة بتعاني من
+
+157
+00:15:12,830 --> 00:15:17,460
+حاجة لهذا الغذاءفهذا أيضا تباين جغرافي في إنتاج
+
+158
+00:15:17,460 --> 00:15:22,420
+الغذاء، أيضا انتشار الفقر، يعطي الفقر من أسباب
+
+159
+00:15:22,420 --> 00:15:26,500
+المجاعة فالغذاء يجد طريقه إلى الأسواق لإن الهدف
+
+160
+00:15:26,500 --> 00:15:32,110
+الأساسي هو الرزاقأيضا هناك مشكلات بيئية نتيجة
+
+161
+00:15:32,110 --> 00:15:35,730
+التلوث و الأمراض و الأفاد اللتي تصيب الإنسان و
+
+162
+00:15:35,730 --> 00:15:39,670
+الحيوان و النبات و نتيجة لزيادة السكان نجد أنه
+
+163
+00:15:39,670 --> 00:15:44,270
+يحدث ضغط على الموارد المنتجة باستخدام الأسمدة و
+
+164
+00:15:44,270 --> 00:15:48,770
+الحشرات و قطع الغابات أو حقها أو تجريف التربة و كل
+
+165
+00:15:48,770 --> 00:15:52,990
+هذه المشكلات أيضا لها سبب في الغذاء و أيضا مشكلات
+
+166
+00:15:52,990 --> 00:15:59,310
+البيئة و هي الجفاف يقضي على كثير من النباتاتأيضا
+
+167
+00:15:59,310 --> 00:16:02,830
+السياسات الحكومية يعني أنها لكل دولة لها سياسة
+
+168
+00:16:02,830 --> 00:16:07,030
+حكومية وخاصة في الدول النامية التي ترتكز على شراء
+
+169
+00:16:07,030 --> 00:16:11,490
+الأسلحة فيؤدي إلى تراكم الديون على الدول النامية
+
+170
+00:16:11,490 --> 00:16:16,070
+دون فائدة وبالتالي تضطر إلى الاستيراد المواد
+
+171
+00:16:16,070 --> 00:16:20,500
+الغذائيةأيضا، زي ما حكينا هنا، ديون أفريقيا تفوق
+
+172
+00:16:20,500 --> 00:16:24,800
+200 مليار دولار، ملايين الأطفال الأفريقية يموتون
+
+173
+00:16:24,800 --> 00:16:29,020
+جوعا، زي ما بنشوف في الصومال، فإنهم يعانوا من جوع
+
+174
+00:16:29,020 --> 00:16:32,720
+وملايين الأطفال يموتوا من الجوع، وهذا نتيجة
+
+175
+00:16:32,720 --> 00:16:36,820
+السياسات الحكومية في أفريقيا، أيضا، دعا الموارد
+
+176
+00:16:36,820 --> 00:16:42,440
+الغذاءتعاني غالبية الدول النامية من قلة المخصصات
+
+177
+00:16:42,440 --> 00:16:48,200
+الدعم للموارد، في الدول المتقدمة نجد أن الدول
+
+178
+00:16:48,200 --> 00:16:53,440
+المتقدمة تعمل مخصصات لهذه المنتجات الغذائية
+
+179
+00:16:53,440 --> 00:16:57,340
+وبالتالي يكون هناك وفرة في الإنتاج، وبالتالي نجد
+
+180
+00:16:57,340 --> 00:17:03,300
+أن الدول الفقيرة لا تعمل مخصصات لمصانع الغذاء،
+
+181
+00:17:03,300 --> 00:17:06,640
+وبالتالي لا يكون الإنتاج هناك وفير في الدول
+
+182
+00:17:06,640 --> 00:17:07,880
+المتخلفة
+
+183
+00:17:09,860 --> 00:17:14,000
+هنا فعلى سبيل المثال يقدم الاتحاد الأوروبي 96
+
+184
+00:17:14,000 --> 00:17:18,640
+مليار دولار لدعم إنتاج الغذاء في دولة أيضا اليابان
+
+185
+00:17:18,640 --> 00:17:26,160
+تقدم 49 مليار دولار لدعم الإنتاج في بلدة أيضا
+
+186
+00:17:26,160 --> 00:17:30,540
+ارتفاع أثنان المواد الغذائية فأسعار المواد
+
+187
+00:17:30,540 --> 00:17:36,800
+الغذائية ترتفع مع ارتفاع الطلب مع دماء يزيد الطلب
+
+188
+00:17:36,800 --> 00:17:44,040
+على المواد الغذائية ترتفعفعلى سبيل المثال سعر طن
+
+189
+00:17:44,040 --> 00:17:49,880
+القمح في عام 1971 ميلادي كان 78 دولار أما اليوم في
+
+190
+00:17:49,880 --> 00:17:55,220
+2001 أكثر من 300 دولار للطن وهذا نتيجة زيادة الطلب
+
+191
+00:17:55,220 --> 00:18:01,200
+على سلعة القمحأيضا ارتفاع أثناء مستلزمات الزراعة
+
+192
+00:18:01,200 --> 00:18:06,460
+وارتفاع تكاليف الشحن فهذا أيضا أدى إلى .. السبب
+
+193
+00:18:06,460 --> 00:18:10,520
+هذا من مشكلات الغذاء في العالم، ايضا ارتفاع
+
+194
+00:18:10,520 --> 00:18:14,580
+مستويات المعيشة في الدول النامية وعلى سبيل المثال
+
+195
+00:18:14,700 --> 00:18:19,180
+الصين والهند وبالتالي عندما ارتفعت مستويات المعيشة
+
+196
+00:18:19,180 --> 00:18:23,740
+لهذه الدول زاد الطلب على الغذاء فعندما زي اللي
+
+197
+00:18:23,740 --> 00:18:27,100
+بياكل واجبة صار ياكل واجبتين واللي بياكل واجبتين
+
+198
+00:18:27,100 --> 00:18:31,380
+صار ياكل تلت واجبات فبالتالي زاد الطلب على المواد
+
+199
+00:18:31,380 --> 00:18:36,630
+الغذائيةعلى سبيل المثال احنا هنا في غزة نلاحظ انه
+
+200
+00:18:36,630 --> 00:18:40,890
+ب .. باتجاه المواطنين بيكون عند ساعة ما يكبدوا
+
+201
+00:18:40,890 --> 00:18:45,330
+الرواتب، صح؟ بعد ما يكبدوا الرواتب الكل بيتوجه الى
+
+202
+00:18:45,330 --> 00:18:47,150
+الأسواق ان يشتري، اه
+
+203
+00:18:50,980 --> 00:18:56,160
+أيضا عدم زراعة الأراضي القابلة للزراعة حسب تقدير
+
+204
+00:18:56,160 --> 00:18:59,480
+منظمة الغذاء العالمية أن المساحة المزروعة في
+
+205
+00:18:59,480 --> 00:19:04,440
+العالم لم تتجاوز ال 35% من المساحة القابلة للزراعة
+
+206
+00:19:04,440 --> 00:19:08,720
+فهذه أيضا مشكلة أن المساحة الزراعية القابلة
+
+207
+00:19:08,720 --> 00:19:12,640
+للزراعة غير مزروعة هذا أدى إلى مشكلة من مشكلات
+
+208
+00:19:12,640 --> 00:19:19,860
+الغذاءأيضا تفتيت الحيازات الزراعية، إن أضيق الرقعة
+
+209
+00:19:19,860 --> 00:19:23,460
+الزراعية وتقسمها بسبب تناقص في الإنتاج هذا يكون في
+
+210
+00:19:23,460 --> 00:19:26,860
+الدول المتحمة بالسكان وبالتالي يقل نصيب الفرد من
+
+211
+00:19:26,860 --> 00:19:31,260
+الأراضي الزراعية، كمصر التي لا تزرع سوى 3% من
+
+212
+00:19:31,260 --> 00:19:36,060
+مساحتها والسودان والبرازيل 5% من مساحتهم، وبالتالي
+
+213
+00:19:36,060 --> 00:19:42,390
+تظهر البطالة في الزراعة بشكل واضحقصور الإنتاج
+
+214
+00:19:42,390 --> 00:19:46,370
+المحلي من الغذاء، رغم اعتبار الزراعة قطاعا رائدا
+
+215
+00:19:46,370 --> 00:19:49,870
+في الدول الجائعة ورغم استيعاب الزراعة إلى أكثر من
+
+216
+00:19:49,870 --> 00:19:54,050
+30% من الأياد العاملة في الدول المتخلفة الجائعة،
+
+217
+00:19:54,050 --> 00:19:58,790
+إلا أن الزراعة لا تفي بالمطلوب منها لعدد أسباب،
+
+218
+00:19:58,790 --> 00:20:02,670
+اللي هي تخلف وسائل الزراعة وبدائيتها، أنا بدأ أشرح
+
+219
+00:20:02,670 --> 00:20:06,220
+هدولة باختصار، أدى المجال يا الأستاذأيضا عدم
+
+220
+00:20:06,220 --> 00:20:09,800
+اهتمام السلطات السياسية في الدول النامية بالزراعة
+
+221
+00:20:09,800 --> 00:20:14,480
+وأيضا فقر الفلاح وعدم امتلاكه لرأس المال اللازم
+
+222
+00:20:14,480 --> 00:20:20,980
+للزراعة أتمنى أن أكون وفقة في شرح هذه النقطة وفقتي
+
+223
+00:20:20,980 --> 00:20:29,370
+ووفقتي ووفقتيبارك الله فيكي وإن شاء الله العاقبة
+
+224
+00:20:29,370 --> 00:20:36,470
+عندكم تكون لديكم الشجاعة في إنه تقفوا موقف الرجال
+
+225
+00:20:36,470 --> 00:20:43,670
+للرجال و تشرحوا يعني يفترض إنه كلكوا تتنافسوا لو
+
+226
+00:20:43,670 --> 00:20:50,110
+سألناها شو شعور العائلة لما يشوفوكي على المحاضرات
+
+227
+00:20:50,110 --> 00:20:54,640
+الإلكترونية اللي في الجامعة الإسلاميةلا .. لا ..
+
+228
+00:20:54,640 --> 00:20:59,520
+لا بدنا .. نشوفوكوا بهذه المواقف التعليمية يا
+
+229
+00:20:59,520 --> 00:21:04,920
+حرتاني .. إيش .. استعد المرة اللي جاية؟
+
+230
+00:21:07,240 --> 00:21:15,020
+نشوف طيب تعقيب بسيط على ما قالته زميلتكم زي ما
+
+231
+00:21:15,020 --> 00:21:21,500
+قلنا متى بدأت مشكلة الغزاة ماحدش هيعرف لأنه كثير
+
+232
+00:21:21,500 --> 00:21:31,580
+من الأمور في الحياة لم تؤرخ إلا عندما شعر الإنسان
+
+233
+00:21:31,580 --> 00:21:37,370
+بالمشكلةلما بدأ الإنسان يشهر بالمشكلة و بدأ يتعلم
+
+234
+00:21:37,370 --> 00:21:43,430
+التاريخ بدأ يسجل معالم المشكلة ما قبل ذلك ماكناش
+
+235
+00:21:43,430 --> 00:21:47,550
+نعرف فلما ارتفعت مستويات المعيشة بعد ثورة صناعية
+
+236
+00:21:47,550 --> 00:21:52,570
+زاد الطلب السكان بدأوا يتزيدوا بسرعة وبالتالي
+
+237
+00:21:53,450 --> 00:22:00,010
+المعروض من السلة الغذائية ليفي للأعداد السكاني
+
+238
+00:22:00,010 --> 00:22:07,190
+نشوف كمان عندنا Guatemala طبعا و احنا بنحضر على ال
+
+239
+00:22:07,190 --> 00:22:12,270
+laptop اجت Guatemala حطيت على Google Guatemala
+
+240
+00:22:12,270 --> 00:22:19,610
+فطلعت المساحة 108 ألف كيلومتر تقريبا مع عدد السكان
+
+241
+00:22:19,610 --> 00:22:26,050
+13 نصف السكان في انفجارهانصف السكان فجرة وانت جاى
+
+242
+00:22:26,050 --> 00:22:30,370
+جواتمالا فى أمريكا اللاتينية فى أمريكا اللاتينية
+
+243
+00:22:30,370 --> 00:22:35,290
+هناك عنده هندوراس عنده هندوراس طيب قداشى بياخدوا
+
+244
+00:22:35,290 --> 00:22:40,810
+هدول اقل من اربعة دولار فى اليوم اقل من اربعة
+
+245
+00:22:40,810 --> 00:22:44,750
+دولار وطبعا الاربعة دولار فى السوق المحلي عندنا
+
+246
+00:22:44,750 --> 00:22:52,530
+يساوي تقريبا خمس عشر شكل تقريبا وهى النسبة
+
+247
+00:23:00,390 --> 00:23:08,850
+غزة استثنائية، غزة حالة استثنائية، اولا الحصار،
+
+248
+00:23:08,850 --> 00:23:14,150
+مافيش تصدير، اخواننا لما نبدأ، انا اوضح معلومة عن
+
+249
+00:23:14,150 --> 00:23:19,750
+غزة يعني، المشكلة في غزة ليست نقص السلع الغذائي
+
+250
+00:23:20,790 --> 00:23:23,770
+المشكلة في غزة مش .. في أكل عندنا و اللي اجونا ال
+
+251
+00:23:23,770 --> 00:23:26,930
+.. ال .. من الدول العربية، أخواننا العرب
+
+252
+00:23:26,930 --> 00:23:32,410
+المتضامنين شافوا غزة يعني تنعم بخيرات، هم في بلاد
+
+253
+00:23:32,410 --> 00:23:36,770
+مافيش، المشكلة وين في الحصار؟ أولا هناك حصارة
+
+254
+00:23:36,770 --> 00:23:42,310
+ثقافية، مافيش كتب جديدة تيجيفيش كتب جديدة تيجي،
+
+255
+00:23:42,310 --> 00:23:47,970
+اتنين غزة أنا بشبّحها زي الواحد اللي بياكل وظهر له
+
+256
+00:23:47,970 --> 00:23:51,930
+كرش دون إخراج فضلات الأكل اللي أبي أكله، ماعندناش
+
+257
+00:23:51,930 --> 00:23:57,610
+تصدير، ماعندناش تصدير، عشان كده الحصار، المفهوم
+
+258
+00:23:57,610 --> 00:24:03,700
+الحقيقه للحصار أن مافي تصديرولا في استيراد
+
+259
+00:24:03,700 --> 00:24:09,020
+للثقافة، الكتب، وبالتالي .. وإذا قضية الأكل والشرب
+
+260
+00:24:09,020 --> 00:24:13,320
+الحمد لله يعني غزة تسخر بخيارات كثيرة، لكن القضية
+
+261
+00:24:13,320 --> 00:24:18,420
+أنه العمالة عندي ما بتشتغلش لأنه تشتغل .. تصدر ..
+
+262
+00:24:18,420 --> 00:24:23,680
+مافي تصدير، يعني كنا نصدر ما يقارب تلاتمية ألف طن
+
+263
+00:24:23,680 --> 00:24:30,390
+موالحفي التمنينيات تلتميت ألف طن موالح طب هدول كده
+
+264
+00:24:30,390 --> 00:24:35,050
+بياخدوا أيدي عاملة ثم التصدير يعني حتى سنة من
+
+265
+00:24:35,050 --> 00:24:41,690
+السنوات تعثرت التنمية في العالم فجابولنا خرفان من
+
+266
+00:24:41,690 --> 00:24:45,910
+يوغسلافيا وجابولنا أطقم منهم من إيطاليا تبادل
+
+267
+00:24:45,910 --> 00:24:51,370
+سلاعي يعني هتقولنا حمضيات وخدوا الصناعات تبعتنا
+
+268
+00:24:53,100 --> 00:24:58,020
+صناعة الفخار عندى كانت تصدر صناعة الخيرزان كانت
+
+269
+00:24:58,020 --> 00:25:04,020
+تصدر صناعة الغزل والنسيج كانت تصدر هذا كله توقف
+
+270
+00:25:04,020 --> 00:25:07,780
+عشان ايه غزة السيسناية حتيها تتفع فيها نسبة الفقر
+
+271
+00:25:07,780 --> 00:25:13,600
+ولا لا فهمتوا من هذا المنطلق ان غزة تختلف عن اي
+
+272
+00:25:13,600 --> 00:25:21,470
+منطقة لأن مافي تصدير في Guatemala بذلك كذلكجزء
+
+273
+00:25:21,470 --> 00:25:25,850
+كبير اربعين مليون بموتوا جوعا واحنا بتشوف في
+
+274
+00:25:25,850 --> 00:25:32,030
+الصومال كنموذج كيف نتيجة لنقص الغذاء ان الحيوان
+
+275
+00:25:32,030 --> 00:25:36,010
+والهدا كله بيموت والمشكلة هي ليست في الدول
+
+276
+00:25:36,010 --> 00:25:41,010
+المتقدمة ليش؟ لإن عندهم فاض في الإنتاج فاض الإنتاج
+
+277
+00:25:41,010 --> 00:25:48,480
+من وين بيجي؟ ان سكانهم قاعدين بيقلواطب ناقص اتنين
+
+278
+00:25:48,480 --> 00:25:54,260
+شوف نتاويه إيطاليا في التنازل اليابان في الألفية
+
+279
+00:25:54,260 --> 00:26:01,180
+الثالثة تساوي one person شخص واحد اكبر مشكلة واجه
+
+280
+00:26:01,180 --> 00:26:05,440
+اليابان هي كبار السن سيكون هناك تلاتين في المية من
+
+281
+00:26:05,440 --> 00:26:10,100
+سكان اليابان هم فوق الستين السنة يعني المنطقة
+
+282
+00:26:10,100 --> 00:26:14,740
+اللتي أصابها الزلزال في اليابان ماعمرهاش قالك لمن
+
+283
+00:26:14,740 --> 00:26:20,760
+انعمرهاألمانيا في تراجع، كل أوروبا في تراجع، لكن
+
+284
+00:26:20,760 --> 00:26:28,820
+أنا اللي عايز أسأله الآن، هل التراجع السكاني في
+
+285
+00:26:28,820 --> 00:26:36,420
+أوروبا وفي الدول المتقدمة، هل هذا نتج عن تخلف ولا
+
+286
+00:26:36,420 --> 00:26:37,940
+عن وعيد؟
+
+287
+00:26:39,920 --> 00:26:42,900
+تقولولي إيش؟ حديث النبي صلى الله عليه وسلم
+
+288
+00:26:42,900 --> 00:26:49,260
+تناقعوا، تناسلوا، فإني مباهن بكم الأمم يوم القيامة
+
+289
+00:26:49,260 --> 00:26:54,080
+إخواننا المشكلة عندنا في العالم الإسلامي عدم فهمهم
+
+290
+00:26:54,080 --> 00:27:02,840
+الدين بصحيح المباهاة في من تكون في الشحتين؟ ولا في
+
+291
+00:27:02,840 --> 00:27:04,740
+أولئك الرجال؟
+
+292
+00:27:07,120 --> 00:27:10,940
+ولا مش صحيح عشان هيك في مؤتمر الإسكانة اللي عقد في
+
+293
+00:27:10,940 --> 00:27:16,900
+القاهرة خالد محمد خالد يمكن تعرفوه صاحب كتاب رجال
+
+294
+00:27:16,900 --> 00:27:21,640
+حول الرسول صلى الله عليه وسلم قال إن لم نأتي
+
+295
+00:27:21,640 --> 00:27:29,280
+بالفرد بالغلام الذي يتباهى به النبي فقد نؤذن بي
+
+296
+00:27:29,280 --> 00:27:33,620
+صلى الله عليه وسلم وعنا مثلًا بقول العدد يعني في
+
+297
+00:27:33,620 --> 00:27:35,740
+الرجال وليس في اللموز زي ما احنا بنقول
+
+298
+00:27:40,750 --> 00:27:47,870
+ولا لأ؟ ولا مش صحيح؟ اذا هان بدي انا ان كيفية ولا
+
+299
+00:27:47,870 --> 00:27:53,930
+النوعية؟ طيب،
+
+300
+00:27:53,930 --> 00:28:00,890
+اذا انا بدي كيف نكون، مش كم نكون، عشان هيك تعالوا
+
+301
+00:28:00,890 --> 00:28:04,890
+شوفوا انتوا اليوم مليار و نصف مسلم، مليار و نصف
+
+302
+00:28:04,890 --> 00:28:08,490
+مسلم، يعني اكتر من عشرين في المية من سكان العالم،
+
+303
+00:28:08,490 --> 00:28:13,160
+مش قادرين يطبحوا عليهم قمحليس لهم قرار سياسي في
+
+304
+00:28:13,160 --> 00:28:20,080
+العالم، طب من إيش؟ وهل هذا الأمر يباهي أو يتباهي
+
+305
+00:28:20,080 --> 00:28:24,800
+بين النبي صلى الله عليه وسلم؟ ولا يتباهي في أهل
+
+306
+00:28:24,800 --> 00:28:32,080
+الغزة الذين ضحروا الاحتلال؟منها بسواعد رجالها، إذا
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+307
+00:28:32,080 --> 00:28:36,400
+هانأتي بالمباهاة يا أخواننا، إني مباهين بكم الأمم
+
+308
+00:28:36,400 --> 00:28:40,100
+بالسواعد التي تصنع السواريخ و التي تصنع الدبابات و
+
+309
+00:28:40,100 --> 00:28:45,860
+التي تفجر الدبابة هنا، إذا غزة نموذجا فريدا يا
+
+310
+00:28:45,860 --> 00:28:54,620
+بنتها، النمو سكانيمالته الساعاته ايش بقول ان النمو
+
+311
+00:28:54,620 --> 00:29:01,160
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+
+312
+00:29:01,160 --> 00:29:07,480
+الاقتصادي يكون كالتالي النمو السكاني يتم
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+313
+00:29:07,480 --> 00:29:17,660
+على التضاعف يعني واحد اتنين اربعة تمانية
+
+314
+00:29:21,720 --> 00:29:34,100
+النمو الاقتصادي يجب
+
+315
+00:29:34,100 --> 00:29:40,450
+أن يكون فوق الاقتصادنمو السكان تعالى نشوف الصين
+
+316
+00:29:40,450 --> 00:29:47,410
+أعلى دولة بتحقق زائد تمانية في المية من النمو
+
+317
+00:29:47,410 --> 00:29:55,310
+الاقتصادي طب النمو السكان ايه؟ نمو السكان واحد بل
+
+318
+00:29:55,310 --> 00:30:01,940
+كل اتنين بيجيبوا واحدالاتنين بيجيبوا واحد يعني نصف
+
+319
+00:30:01,940 --> 00:30:06,460
+في المائة زيات النمو السكاني وبالتالي لما اقول انا
+
+320
+00:30:06,460 --> 00:30:13,350
+تمانية ناقص واحد يساوي زائد سبعةالزائد سبعة هذه
+
+321
+00:30:13,350 --> 00:30:17,690
+بتروح للجيوب عشان هيك بنلاحظ أن الاقتصاد الصيني
+
+322
+00:30:17,690 --> 00:30:22,310
+بيحقق نمو العائد الاقتصادي بيعمل على ارتفاع مستوات
+
+323
+00:30:22,310 --> 00:30:27,570
+أيش؟ المعيشة وبالتالي صار ياكله من مرة إلى تنتين
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+324
+00:30:27,570 --> 00:30:33,330
+ومن تنتين إلى تلاتة وحتى وقت قريب احتفلت الصين
+
+325
+00:30:33,330 --> 00:30:39,910
+بيخلع اخر حذاء خشبي من رجل امرأةليش؟ مش عايزين
+
+326
+00:30:39,910 --> 00:30:43,670
+رجلهم يكبروا لأنه إذا كبرت الرجلين بدها حجب أكبر
+
+327
+00:30:43,670 --> 00:30:48,810
+في الجلد، في الأحذية، صح؟ يعني شوف لوين و أعتقد
+
+328
+00:30:48,810 --> 00:30:52,970
+أحنا أول ما بشرنا التجارة مع الصين و أنهم يدونا X
+
+329
+00:30:52,970 --> 00:30:57,010
+large و يجيبوننا ما يلبس حاجة إبتدائي مائات الألف
+
+330
+00:30:57,010 --> 00:31:00,330
+من الدولارات خسروا التجارة فراح يقولولهم لا بدنا X
+
+331
+00:31:00,330 --> 00:31:04,970
+large الجمعة اللي فاتت أنا شاريت بنطلون خمس Xات
+
+332
+00:31:04,970 --> 00:31:14,660
+فيهخمس Xات فيه يعني عمالقة في منظرهم احنا نقول X X
+
+333
+00:31:14,660 --> 00:31:19,760
+X X Large ولا كمان X و Large يعني في مخيلتهم و
+
+334
+00:31:19,760 --> 00:31:23,560
+خاصة احنا بتشوف الصين والكوريان هدولة حجمهم صغير
+
+335
+00:31:24,900 --> 00:31:30,980
+ماشي فهذا النمو الاقتصادي يجب ان يفوق نمو السكان
+
+336
+00:31:30,980 --> 00:31:36,340
+عشان تحقق هذا الكلام من اكتر من مائة سنة في اوروبا
+
+337
+00:31:36,340 --> 00:31:42,200
+وفي اليابان متحقق ان النمو الاقتصادي كبير و النمو
+
+338
+00:31:42,200 --> 00:31:47,100
+السكاني بتراجع عشان هيك بنلاقي هناك فائضة في
+
+339
+00:31:47,100 --> 00:31:51,400
+الإنتاج الغذائي في الدول المتقدمة وين هيروح؟ يا
+
+340
+00:31:51,400 --> 00:31:56,080
+بيرمو على البحر؟يبتزازا سياسيا من الدول الاش
+
+341
+00:31:56,080 --> 00:32:03,800
+النامية بياخدوه وأنظمة الحكم في الدول النامية هي
+
+342
+00:32:03,800 --> 00:32:09,780
+أنظمة كلها زي ما شوفنا في الربيع العربي يعني أنا
+
+343
+00:32:09,780 --> 00:32:15,880
+بعتقد أن الثورات اللتي قامت على النظام المحلي أكبر
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+344
+00:32:15,880 --> 00:32:21,950
+من الثورات اللتي قامت على الاستعماروبالتالي يعني
+
+345
+00:32:21,950 --> 00:32:34,110
+زي ما بقولوا المحل سيفه قوي طيب عدد السكان سيتزايد
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+346
+00:32:34,110 --> 00:32:40,170
+زي مجلة ازملتكم في ال 2020 سيصل الى تمانية مليار
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+347
+00:32:40,170 --> 00:32:46,210
+وحتى وقت قريب اعتقد احتفل العالم بالمليار السابع
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+348
+00:32:46,210 --> 00:32:53,780
+بميلاد طفلة في الفلبينطبعاً مئات الأطفال ولدوا
+
+349
+00:32:53,780 --> 00:32:59,920
+بأفريقيا ولا واحد عرفهم ولا سجلهم لكن خلاص اللي
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+350
+00:32:59,920 --> 00:33:05,880
+بنعرف بتسجل فاحتفلوا بالطفلة رقم سبعة مليار حققت
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+351
+00:33:05,880 --> 00:33:11,420
+في العالم فمعنى هذا أنه التزايد السكاني هيكون وين؟
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+352
+00:33:11,420 --> 00:33:15,360
+في على حساب الأراضي الزراعية أو القابلة للزراعة
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+353
+00:33:15,360 --> 00:33:21,120
+فالأمر اللي جاد إلى نقص في السلة الغذائيةوالغريب
+
+354
+00:33:21,120 --> 00:33:27,000
+في الأمر أن معظم النمو السكاني هو في الدول
+
+355
+00:33:27,000 --> 00:33:32,960
+المتخلفة وكأنني أمام ثقافة .. نعم يا .. في كل
+
+356
+00:33:32,960 --> 00:33:39,060
+العالم طبعا ..
+
+357
+00:33:39,060 --> 00:33:42,880
+رح
+
+358
+00:33:42,880 --> 00:33:49,230
+يزيد طبعا لكن أنا بدرس العالم كمجملةمتقدميه
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+359
+00:33:49,230 --> 00:33:53,670
+ومتخلفيه لكن الإنتاج الغذاء كله اللي في الدول
+
+360
+00:33:53,670 --> 00:33:59,270
+النامية و الدول المتخلفة لكن أي دول نامية بتعمل
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+361
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+مساعدات في الغذاء ولا واحدة كلهم ما شاء الله عليهم
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+363
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+364
+00:34:17,230 --> 00:34:23,570
+ممكانيات مصر كانت مزرعة القمح للدولة الرومانية
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+365
+00:34:23,570 --> 00:34:30,290
+العظماء شايفين مصر اللي بتزرع 3% من مساحتها كانت
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+366
+00:34:30,290 --> 00:34:35,410
+تطعم الامبراطورية الرومانية قمحا و اليوم مصر
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+367
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+تستورد القمح لأ بسبب سوء التخطيط بسبب سوء التخطيط
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+368
+00:34:43,770 --> 00:34:51,290
+سواء من الحكومة أو من الشعبأيا كان طبعا الزيادة
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+369
+00:34:51,290 --> 00:34:56,110
+السكانية أوفت فيها زملتكم وانتوا طبعا أسباب مشكلة
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+00:34:56,110 --> 00:35:02,830
+الغذاء التحضر اليوم كثير من القرى اللي نمت في
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+371
+00:35:02,830 --> 00:35:09,170
+الريف كبر حجمها واتسعت فقيا فأصبحت مدينة يعني
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+372
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+تعالى نشوف احنا في غزام ولا أدر ان كان القرار
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+373
+00:35:12,990 --> 00:35:19,830
+صائبا او خاطئالكن هو في الأصل خاطئ هو تحويل كثير
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+374
+00:35:19,830 --> 00:35:26,450
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+375
+00:35:26,450 --> 00:35:32,110
+بيت لها كانت قرية أصبحت مدينة بيت حنون كانت قرية
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+376
+00:35:32,110 --> 00:35:37,750
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+377
+00:35:37,750 --> 00:35:45,910
+حولناهم لمدينة بقرار سياسي لأنهبكدار اللي هو
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+378
+00:35:45,910 --> 00:35:53,030
+برنامج الأمم المتحدة للإعمار لا ينمي ويطور القرى
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+379
+00:35:53,030 --> 00:35:58,590
+لأن بطبيعة القرى في أوروبا هي قرى زراعية أو إنتاج
+
+380
+00:35:58,590 --> 00:36:03,210
+السلاح الغذائي فما بنميهاش لأنه لازم يظل بطبيعتها
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+381
+00:36:03,210 --> 00:36:08,850
+القروية فالقرار السياسي أنه يقول حول هذه القرى
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+382
+00:36:08,850 --> 00:36:14,450
+إليهإلى مدن عشان يدخلها التطوير وشو التطوير اللي
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+383
+00:36:14,450 --> 00:36:18,650
+دخلها؟ Asphalt Asphalt
+
+384
+00:36:18,650 --> 00:36:23,090
+يعني في الأصل في كهرباق في الريف لأن في الأصل
+
+385
+00:36:23,090 --> 00:36:27,230
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+
+386
+00:36:27,230 --> 00:36:31,290
+مناطق إنتاج السلع الغذائي فالفائض عن الإنتاج يجب
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+387
+00:36:31,290 --> 00:36:38,350
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+388
+00:36:38,350 --> 00:36:44,250
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+389
+00:36:44,250 --> 00:36:49,590
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+390
+00:36:49,590 --> 00:36:54,210
+العواصم الكبرى في العالم الإسلامي تخسر المساحات
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+391
+00:36:54,210 --> 00:37:01,570
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+
+392
+00:37:01,570 --> 00:37:08,580
+انا لكروكي توع المدينةبيختلف من منطقة لأخرى دايما
+
+393
+00:37:08,580 --> 00:37:13,660
+كل ما اقتربنا من المركز المدينة اللي نطلق عليه CBD
+
+394
+00:37:13,660 --> 00:37:22,380
+يعني CBD Central Business District حي الأعمال حي
+
+395
+00:37:22,380 --> 00:37:29,060
+الشغل يعني لا يمكن زراعة أشجار معمرة تقعد خمسين
+
+396
+00:37:29,060 --> 00:37:33,340
+سنة وستين سنة في الأرض فبنزراعها Vegetables خدرة
+
+397
+00:37:33,340 --> 00:37:39,690
+واحدةعشان أي امتداد عمراني يسهل التغلب عليه
+
+398
+00:37:39,690 --> 00:37:43,270
+وبالتالي احنا بتشوف عندنا فلسطين او في قطاع غزة
+
+399
+00:37:43,270 --> 00:37:49,590
+كثير من الأراضي القريبة من المخيمات القريبة من ..
+
+400
+00:37:49,590 --> 00:37:55,010
+تحولت إلى ايش؟ ضواحي سكنية للمدينة صح ولا لا؟ هذا
+
+401
+00:37:55,010 --> 00:37:59,870
+كله على حسب من؟ الأراضي الزراعية وشفنا عندنا مشكلة
+
+402
+00:37:59,870 --> 00:38:06,170
+العنابلأن الإمتداد العمراني بين مدينة غزة وبين
+
+403
+00:38:06,170 --> 00:38:13,190
+النصيرات كان هذا كله قطاع عينبي اليوم كله ايش اصبح
+
+404
+00:38:13,190 --> 00:38:21,010
+منازل و villas و مدن الزهرة على حساب ايش فأجى
+
+405
+00:38:21,010 --> 00:38:27,050
+العينب ما شاء الله انه خلال اسبوعين كان ايش؟ خلص
+
+406
+00:38:27,840 --> 00:38:31,120
+وأنا باسكر إنه كان الأستاذ خالد هيو حبيبنا قاعد
+
+407
+00:38:31,120 --> 00:38:36,760
+بيسمع كنا لشهر اتناش ناكل عنب من غزة لشهر اتناش
+
+408
+00:38:36,760 --> 00:38:42,040
+فهذا كله على حساب الأراضي الزراعية الصراعات
+
+409
+00:38:42,040 --> 00:38:48,020
+المحلية ما أكثرها في إفريقيا ما أكثرها في إفريقيا
+
+410
+00:38:48,020 --> 00:38:55,680
+يعني الحرب اللي قامت بين إثيوبيا وإريتريا نزاعات
+
+411
+00:38:56,610 --> 00:39:07,070
+إقليمية حتى صورت بجليكر كتير إنه دست كبير يغلي و
+
+412
+00:39:07,070 --> 00:39:12,390
+هم بيرموا أرجالهم فيها و أي صراعات إقليمية اليوم
+
+413
+00:39:12,390 --> 00:39:17,010
+لا يمكن أن تصل إلى غالب ومغلوب، لا يمكن فبنخسر
+
+414
+00:39:17,010 --> 00:39:23,280
+مواردنالأنه بنشتري سلاح كل طرف يشتري سلاح و السلاح
+
+415
+00:39:23,280 --> 00:39:29,760
+بنشتريه من الدول المتقدمة الصناعية طب ما أوروبا
+
+416
+00:39:29,760 --> 00:39:34,580
+كانت تتحرك لكن ارتفاع مستوى التعليم عندهم ارتفاع
+
+417
+00:39:34,580 --> 00:39:39,440
+الثقافة عندهم تغطي المصالح الفردية وعملوا لليوم
+
+418
+00:39:39,440 --> 00:39:44,260
+أوروبا موحدة فهل نستشرق
+
+419
+00:39:45,140 --> 00:39:53,600
+وطن عربي موحد او افريقيا موحدة we hope so فهذا كله
+
+420
+00:39:53,600 --> 00:39:59,960
+طبعا على حساب الغذاء سوء عمليات توزيع الغذاء سوء
+
+421
+00:39:59,960 --> 00:40:06,600
+عمليات توزيع الغذاء بنلاقي المساعدات الغذائية اللي
+
+422
+00:40:06,600 --> 00:40:09,800
+بتيجي في العالم يعني اليوم تعالوا شوفوا مثلا قطاع
+
+423
+00:40:09,800 --> 00:40:15,100
+غزةبيكبّوا عليها مساعدات أو يأتي مساعدات كثيرة
+
+424
+00:40:15,100 --> 00:40:20,220
+سواء من اليوناروة اللي هي منظمة الاستعمار الجديد
+
+425
+00:40:20,220 --> 00:40:27,140
+أو المساعدات من الدول الصديقة ليش بالله عليكم؟
+
+426
+00:40:27,140 --> 00:40:29,260
+يعني أنا بدأ أسأل ليش هالمساعدات اللي بتيجي على
+
+427
+00:40:29,260 --> 00:40:32,520
+غزة؟
+
+428
+00:40:32,520 --> 00:40:36,100
+حتى
+
+429
+00:40:36,100 --> 00:40:42,340
+لا نزعج إسرائيلحتى لا نزعج إسرائيل ولا لو أتصوروا
+
+430
+00:40:42,340 --> 00:40:49,200
+غزة في الصومال، حد تطلعلها؟ لو غزة في أفغانستان،
+
+431
+00:40:49,200 --> 00:40:56,740
+حد تطلعلها؟ لكن ها خدوا و سكتوا، شاطرة انت، لكس في
+
+432
+00:40:56,740 --> 00:41:00,500
+عمرك خدوا
+
+433
+00:41:00,500 --> 00:41:03,920
+و سكتوا، و احنا ما شاء الله علينا سياستنا هات و
+
+434
+00:41:03,920 --> 00:41:06,880
+بنسكت، هات و بنسكت
+
+435
+00:41:13,270 --> 00:41:17,970
+أنا قلت مساعدات ال lunarwa يعني بالذات ال lunarwa
+
+436
+00:41:17,970 --> 00:41:23,790
+يعني هذه منظمة مساعدات عالمية مش معناه بتيجي على
+
+437
+00:41:23,790 --> 00:41:31,210
+غزة مثلا وبتيجيش على الصومال وعلى باق ال .. لأ سوق
+
+438
+00:41:31,210 --> 00:41:35,410
+التخزين أربعة من أسباب المشكلات الغذائية سوق
+
+439
+00:41:35,410 --> 00:41:42,300
+التخزينسوق التخزين الله يخزنك في تلاجة
+
+440
+00:41:50,320 --> 00:41:56,660
+للأسف الشديد، للأسف الشديد، ماشي؟ شريت خمس علب
+
+441
+00:41:56,660 --> 00:42:01,240
+لحمة خروف، فبرا و ع الدار بقولهم ان انا شريت هذه
+
+442
+00:42:01,240 --> 00:42:05,300
+بتمانية شكل العلبة، اللي بنتي صف السادس بتتطلع
+
+443
+00:42:05,300 --> 00:42:09,670
+فيها لو ليس للبايعفبتقولي هذه ليس للبيع، قولتله
+
+444
+00:42:09,670 --> 00:42:12,910
+مابوك مشتاق صدقات عشان ناخدها، هذي توزعت بالبلاش
+
+445
+00:42:12,910 --> 00:42:16,310
+للناس وانبعد، احنا هذا الخنام اللي لاش علاقة فيه،
+
+446
+00:42:16,310 --> 00:42:19,350
+سوء التخزين، شوفوا سوء التخزين، حتى في ما نزلنا
+
+447
+00:42:19,350 --> 00:42:23,990
+احنا، حتى في ما نزلنا احنا، يعني اليوم للأسف
+
+448
+00:42:23,990 --> 00:42:32,570
+الشديد غزة تصدر وظيفة جديدة من عنده طحين خربان،
+
+449
+00:42:32,570 --> 00:42:38,060
+هذي سوء التخزينسواء كان في مخازن المساعدات أو في
+
+450
+00:42:38,060 --> 00:42:47,580
+المنازل والله لو أنا كفرد في المجتمع باخدش مساعدات
+
+451
+00:42:47,580 --> 00:42:53,180
+إلا إذا كنت محتاج بأشر السلع أنا مع التخزين لكن
+
+452
+00:42:53,180 --> 00:42:58,040
+الحفاظ على ذلك كان مافيش عندنا وظيفة جديدة مين
+
+453
+00:42:58,040 --> 00:43:03,700
+عنده هيدخل هذا كله سوء التخزينموسكو بعظمتها تعاني
+
+454
+00:43:03,700 --> 00:43:08,820
+من نقص في السلع الغذائية، روسيا بعظمتها 17 مليون
+
+455
+00:43:08,820 --> 00:43:13,360
+كيلومتر مربع تعاني من السلع الغذائية، وهناك طفرة
+
+456
+00:43:13,360 --> 00:43:19,700
+غذائية في قطاع غزة، هذه الطفرة ستؤدي إلى زي ما
+
+457
+00:43:19,700 --> 00:43:24,580
+شفنا سوق في التخزين، طبعا مدى سوق التخزين في أتلاف
+
+458
+00:43:25,430 --> 00:43:30,050
+فيه اتلاقى طب احنا شفنا من عنده طحين خربان طب يمكن
+
+459
+00:43:30,050 --> 00:43:32,950
+في ناس كتير بترمل الطحين وما بتبحشه لما يقولك انتش
+
+460
+00:43:32,950 --> 00:43:36,750
+هيجيبليه مزارة و لا لا و عشان الناس ماتشوفهاش فهذا
+
+461
+00:43:36,750 --> 00:43:41,430
+بسببنا نقص في المواد الغذائية التباين الجيографي
+
+462
+00:43:41,430 --> 00:43:46,410
+زي ما نشوف معظم الإنتاج الزراعي محصور في المناطق
+
+463
+00:43:46,410 --> 00:43:52,670
+الحارة و المعتدي لاأما مناطق التجمد الشمالي أو
+
+464
+00:43:52,670 --> 00:43:56,330
+القريبة من الخطبين الشمالي والجنوبي ففيش فيها
+
+465
+00:43:56,330 --> 00:44:03,890
+إنتاج غذائي فالغذاء طبعا محصور بين دوار عرض معينة
+
+466
+00:44:03,890 --> 00:44:07,390
+طبعا
+
+467
+00:44:07,390 --> 00:44:10,730
+زي ما قلنا كمان شايفين هي نقص اتنينيعني هما
+
+468
+00:44:10,730 --> 00:44:15,650
+مابنموش يعني انا ممكن كلمة في الاقتصاد الياباني ان
+
+469
+00:44:15,650 --> 00:44:19,910
+هو لا ينمو صفر يعني يساوي صفر لكن احنا في السكان
+
+470
+00:44:19,910 --> 00:44:23,990
+في اوروبا ناقص اتنين يعني هو تخطى الصفر و نزل لل
+
+471
+00:44:23,990 --> 00:44:29,670
+minus الى ناقص اتنين معناه هذا انه مافيش زيادة
+
+472
+00:44:29,670 --> 00:44:33,390
+سكانية تسجل عشان هيك الوافد اللي من عندنا سافر على
+
+473
+00:44:33,390 --> 00:44:39,150
+بلجيكا بقولنا لا في مباني جديدةولا في مدارس بنية
+
+474
+00:44:39,150 --> 00:44:43,830
+جديدة ولكن كله طراز قديم لأن لمين يبنوا؟ مافيش
+
+475
+00:44:43,830 --> 00:44:49,250
+سكان وزارة التخطيط في بريطانيا أوحت للحكومة
+
+476
+00:44:49,250 --> 00:44:54,130
+البريطانية في ال 2050 يجب أن تستعد لاستقبال
+
+477
+00:44:54,130 --> 00:44:59,330
+مهاجرين جدد لأن مايكون أي دعملة بريطانية تعمل في
+
+478
+00:44:59,330 --> 00:45:03,610
+مصانع بريطانية فقالوا من هنا إلى 2050 نستقبل
+
+479
+00:45:03,610 --> 00:45:08,800
+مهاجرين جدد خلال عشرين تلاتين سنة بيكونواEnglish
+
+480
+00:45:08,800 --> 00:45:15,000
+مية المية وعلى فكرة هذه السياسة اليهود كانت في
+
+481
+00:45:15,000 --> 00:45:22,620
+فلسطين زرق المواطن اليهودي في فلسطين عشان هيك
+
+482
+00:45:22,620 --> 00:45:28,900
+تعالوا تشوفوا احنا يعني بنستشهر ان انا كفلسطيني
+
+483
+00:45:28,900 --> 00:45:35,610
+شجرة لها جزور عريقة في فلسطينعشان هيك، وين ما
+
+484
+00:45:35,610 --> 00:45:41,110
+بروح، بلاقي المفتاح، وهو رمز تاريخي، رمز تاريخي،
+
+485
+00:45:41,110 --> 00:45:47,690
+التشبط بالباب اللي أنا هجرته، أو الأرض، أي واحد
+
+486
+00:45:47,690 --> 00:45:50,750
+بنقوله أنت من وين، بكل فخر و اهتزاز، بقول أنا من
+
+487
+00:45:50,750 --> 00:45:54,470
+يبنة، أنا من يقفة، أنا من عكة، أنا من القرى
+
+488
+00:45:54,470 --> 00:45:59,840
+المهجرةعشان هيك تعالوا احنا قضيتنا لن تموت بأمر
+
+489
+00:45:59,840 --> 00:46:06,640
+الله تعالى، ليش؟ لأنه لازلنا نتمسك بتراب فلسطين،
+
+490
+00:46:06,640 --> 00:46:11,160
+واعتقد يعني ملحوظة انا كتير سررت فيها ان الوفد
+
+491
+00:46:11,160 --> 00:46:19,780
+التركي الذي جاء و هو مرحب فيه إلى غزة حمل تراب غزة
+
+492
+00:46:19,780 --> 00:46:27,640
+و أخدمها على إشالأرض التي باركنا فيها للعالمين
+
+493
+00:46:27,640 --> 00:46:32,780
+فندعو الله أن تعود فلسطين انتشار الفقر غالبا ناس
+
+494
+00:46:32,780 --> 00:46:38,320
+فقارة ما هم مش مصاري يشتريهم يزداد الجوع فيهم و
+
+495
+00:46:38,320 --> 00:46:41,320
+احنا بشوف بعض الأحياء الفقيرة في العالم وهذه اللي
+
+496
+00:46:41,320 --> 00:46:46,610
+بيسموها في علم الجيографي عشش الصفيحيعني لو معاه
+
+497
+00:46:46,610 --> 00:46:52,490
+مصاري كان بيبني وبينتقل منها المناطق الفقيرة أو
+
+498
+00:46:52,490 --> 00:46:58,310
+اللي بيسميها ال bore area مشكلات بيئية الجفاف
+
+499
+00:46:58,310 --> 00:47:04,610
+والتلوث ما هو بيقضي على كثير من Chernobyl اللي حدث
+
+500
+00:47:04,610 --> 00:47:11,830
+في التمانينيات في اتحاد السوفيتي في 82شو سبب؟
+
+501
+00:47:11,830 --> 00:47:18,450
+أمطار عنا وتلوث المحاصيل كلها فأي تلوث أي مشكلة
+
+502
+00:47:18,450 --> 00:47:24,890
+بيئية في العالم بتأثر على إنتاج الغذاء السياسات
+
+503
+00:47:24,890 --> 00:47:32,650
+الحكومية هل الحكومة معنية بتوفير الغذاء للمواطن؟
+
+504
+00:47:32,650 --> 00:47:38,150
+أعتقد معظم السياسات الحكومية في الدول العربية أو
+
+505
+00:47:38,150 --> 00:47:46,110
+الإسلاميةلأ تسعاشة المواطن لأن شعارها يموت الشعب
+
+506
+00:47:46,110 --> 00:47:53,050
+وتحيى الحكومة شعارها يموت الشعب وتحيى الحكومة عشان
+
+507
+00:47:53,050 --> 00:47:58,350
+هيك الشعب لما وعى انطفض على هذا النظام السياسي
+
+508
+00:47:58,350 --> 00:48:05,890
+وبدأ يغير فيما يُعرف بالربيع العربي وبالتالي
+
+509
+00:48:07,970 --> 00:48:11,830
+يعني السياسة لو أنا بغلى في فلسطين، بغلى في
+
+510
+00:48:11,830 --> 00:48:17,330
+العراق، لو كنت مسئول عنها، هذه يجب أن تكون ضمن
+
+511
+00:48:17,330 --> 00:48:21,590
+السياسة الدول الإسلامية على الأقل، لعشان تكون
+
+512
+00:48:21,590 --> 00:48:25,170
+نموذجا، يعني شوفوا تعالوا انهيار البورصة في العالم
+
+513
+00:48:25,170 --> 00:48:29,970
+أو البنوك في العالم، البنوك التي لم تخسر هي إيش؟
+
+514
+00:48:29,970 --> 00:48:35,300
+النظام الإسلاميالنظام الإسلامي حتى في أوروبا يعني
+
+515
+00:48:35,300 --> 00:48:39,260
+بطريقة غير مباشرة قالوا لأن هذه البنوك تعمل ضمن
+
+516
+00:48:39,260 --> 00:48:44,060
+منظومة معينة لأنهم بيحاربوا الإسلام ماقالوش إنه
+
+517
+00:48:44,060 --> 00:48:50,020
+بسبب الشريعة الإسلامية فهمتوا؟ فلازم احنا كناس
+
+518
+00:48:50,020 --> 00:48:55,160
+مسلمين يكون هذا هو إيش شعارنا دعم المواد الغذائية
+
+519
+00:48:55,160 --> 00:49:00,920
+للأسف الشديد مافيش دولة نامة ولا نحنا بندعم
+
+520
+00:49:03,210 --> 00:49:08,850
+المنتج الزراعي، بنشوف احنا الدجاج كنموذج اليوم
+
+521
+00:49:08,850 --> 00:49:15,750
+التمانية و نص وصل تمانتاشر شكل، ليش؟ لأنه عرضه
+
+522
+00:49:15,750 --> 00:49:20,650
+طلب، لو كان هناك سياسة تسعيرية في الدولةيعني
+
+523
+00:49:20,650 --> 00:49:25,950
+المنتج يربح والمسالك لا يخسر كان بيستمر الإنتاج
+
+524
+00:49:25,950 --> 00:49:30,030
+على واتيرة واحدة و لا مستحيل يعني نشوف الدول
+
+525
+00:49:30,030 --> 00:49:37,310
+المتقدمة إتحاد الأوروبي 96 مليار يعني مش رقم مليون
+
+526
+00:49:37,310 --> 00:49:42,330
+و 2 مليون لأ ده مليارات دولارات عشان المزارع يفضل
+
+527
+00:49:42,330 --> 00:49:50,330
+ينتج السلع الغذائي وبالتالي هو إن خسر هيعوضوانربح
+
+528
+00:49:50,330 --> 00:49:57,550
+خلاص كل واحد من عنده يعني شوفوا اليابان 49 مليار
+
+529
+00:49:57,550 --> 00:50:03,930
+يعني 50 مليار والمستغال في اليابان 15% من مساحة
+
+530
+00:50:03,930 --> 00:50:12,190
+اليابان و 85% جبال جرداءورغم ذلك اليابان تطبق
+
+531
+00:50:12,190 --> 00:50:17,990
+سياسة ان انا مامدش يدي للمساعدة الغذائية لان من
+
+532
+00:50:17,990 --> 00:50:25,190
+يمتلك رغيف العيش يمتلك قرار فتصوروا كوريا الشمالية
+
+533
+00:50:25,190 --> 00:50:31,870
+صاروا ياكلوا لانخالة تاعة العالم؟الانخالة بتاعة
+
+534
+00:50:31,870 --> 00:50:37,550
+القمح ليش؟ وهذه الانخالة كانت عناصرها الغذائية لكن
+
+535
+00:50:37,550 --> 00:50:42,850
+عملية امتلاق بطن بس و الريم بتاع البحار و الريم
+
+536
+00:50:42,850 --> 00:50:47,170
+بتاع البحار عشان مايقعوش تحت ابتزازات سياسية
+
+537
+00:50:47,170 --> 00:50:52,890
+لأمريكا و غير أمريكيا فأوجدوا وسائل غذائية أو
+
+538
+00:50:52,890 --> 00:50:57,170
+موارد غذائية عشان يأكلوا ولا يقولوا لأمريكا
+
+539
+00:50:57,170 --> 00:51:05,140
+استسلمنا هتيلنا قمحهن هم أعزاء فهمته و رغم ذلك
+
+540
+00:51:05,140 --> 00:51:08,060
+اليابان عندها مصار كتير مش عارفة أين توديها فجالت
+
+541
+00:51:08,060 --> 00:51:11,620
+للمزارع يعني اليوم الليلة و احنا في التليفزيون
+
+542
+00:51:11,620 --> 00:51:16,700
+نتفرج فيلم وسائقي فقول لابنتي تعشوفي الزراعة في
+
+543
+00:51:16,700 --> 00:51:21,410
+اليابان لخيارة طويلة أكتر من تلاتين صنطينتيجة
+
+544
+00:51:21,410 --> 00:51:25,830
+للكيمويات اللي بياخدوها الميكنة الزراعية بقول لابا
+
+545
+00:51:25,830 --> 00:51:30,110
+انت شايفها صغيرة الميكنة الزراعية بقولها ليش؟
+
+546
+00:51:30,110 --> 00:51:34,290
+جالتلي لإن المساحات الزراعية في اليابان قزمية
+
+547
+00:51:34,290 --> 00:51:40,450
+فسررت سرورا كثيرا فعلا يعني هاي المشهد مكينة في ..
+
+548
+00:51:40,450 --> 00:51:43,830
+عندها مكينات كبيرة في أوروبا وفي أمريكا لكن هذه
+
+549
+00:51:43,830 --> 00:51:50,080
+الصغيرة تتناسب مع المساحات الزراعية القزميةو رغم
+
+550
+00:51:50,080 --> 00:51:55,840
+ذلك تدعم كندا اللي كلها تجمد تدعم خمسة مليار عشان
+
+551
+00:51:55,840 --> 00:52:01,400
+يبقى المزارع ينتج الغذاء لهم الولايات المتحدة شوف
+
+552
+00:52:01,400 --> 00:52:04,720
+رغم غنى الولايات المتحدة و هي من أغنى الدول و رغم
+
+553
+00:52:04,720 --> 00:52:10,080
+ذلك تدعم الغلطة الزراعية تسعتاشر مليار دولار يعني
+
+554
+00:52:10,080 --> 00:52:17,370
+اي واحدمتاتله بقرة فضل خد تمانها فضل خد تمانها
+
+555
+00:52:17,370 --> 00:52:21,630
+ارتفاع أثمان المواد الغذائي يعني سعر الطن القمح من
+
+556
+00:52:21,630 --> 00:52:27,070
+72 دولار اليوم 500 دولار 500 .. ليش؟ لأن زي ما
+
+557
+00:52:27,070 --> 00:52:31,630
+شفنا الصين والهند بدأت تاكل وبالتالي بدأت طلب على
+
+558
+00:52:31,630 --> 00:52:37,170
+السلاح الغذائي أكتر مع تحكم المنتجين بالإنتاج
+
+559
+00:52:37,170 --> 00:52:42,850
+والتصدير فارتفعت الأسعارارتفعت الأسعار، طب و
+
+560
+00:52:42,850 --> 00:52:47,230
+الغلابة و المساكين اللي مش جادين الشري و القمحان؟
+
+561
+00:52:47,230 --> 00:52:56,190
+هيرجع لأكل الذرة و لنخالة يعني مرة في أزمة غذاء في
+
+562
+00:52:56,190 --> 00:53:02,890
+مصر، ثورة، فقالت مرت الرئيس المخلوع بلاش يأكلوا
+
+563
+00:53:02,890 --> 00:53:08,750
+خبز، يأكلوا كيكة حلت المشكلة يعني، جاتو، حلت
+
+564
+00:53:08,750 --> 00:53:14,550
+المشكلة يعنيارتفاع تكاليف الشاحن طبعا اليوم من
+
+565
+00:53:14,550 --> 00:53:18,090
+أسباب الغزاة، ارتفاع أثمان المسلزمات الزراعية، لا
+
+566
+00:53:18,090 --> 00:53:21,610
+شك أنه مدينة في ارتفاع في أسعار عالمية، هيحكي ذلك
+
+567
+00:53:21,610 --> 00:53:27,790
+على المسلزمات الغذائية زيادة الطلب بشكل يفوق
+
+568
+00:53:27,790 --> 00:53:34,750
+المعروض، تصوروا لو أن الصين تتحول إلى أوروبافي
+
+569
+00:53:34,750 --> 00:53:38,870
+الأكل والشرب يعني انا واحد بيقوللي طالب طالب درسته
+
+570
+00:53:38,870 --> 00:53:43,630
+في رعلى الخليج العربي بيقوللي والله يا دكتور ما
+
+571
+00:53:43,630 --> 00:53:47,110
+ألمني ان احنا أكلنا نتفة من لحمة الخروف
+
+572
+00:53:49,550 --> 00:53:55,270
+أو نتفة من ال .. ماعرفش الرز لأ خلاص هذا خدشناه
+
+573
+00:53:55,270 --> 00:53:59,990
+خدشناهم الخروفة أخدنا منه نتفة و الرز أكلنا منه
+
+574
+00:53:59,990 --> 00:54:05,270
+معلجتين صحون الفاكهة طواجن الفاكهة اللي ضلت زي ما
+
+575
+00:54:05,270 --> 00:54:11,270
+هي لموها كلها و انرحت عن نفايات عن نفايات هذا
+
+576
+00:54:11,270 --> 00:54:18,630
+ارتفاع مستوى معيشة مش هذا بطر اسمه بطرشوفت كيف؟
+
+577
+00:54:18,630 --> 00:54:23,110
+فها كانت الدول الغربية أو الدول المتقدمة، الدول
+
+578
+00:54:23,110 --> 00:54:29,690
+المتقدمة، وبالتالي الفاقد عندهم أكتر من المستهلك
+
+579
+00:54:29,690 --> 00:54:33,090
+وبالتالي فمبالنا إذا كانت الصين والهند تحولت إلى
+
+580
+00:54:33,090 --> 00:54:39,740
+هذا الكلام مش هنلاقي إيش؟ ناكلأرتفاع مستوات
+
+581
+00:54:39,740 --> 00:54:42,900
+المعيشة، عدم زراعة كل الأراضي الزراعية، يعني أنا
+
+582
+00:54:42,900 --> 00:54:47,000
+عندي تلت الأراضي بس اللي قابلة لزراعة بزراعها، طب
+
+583
+00:54:47,000 --> 00:54:52,280
+و 65 التانية؟ يجب الاهتمام بيهم و زراعتهم، لكن
+
+584
+00:54:52,280 --> 00:54:55,080
+السياسات الزراعية في العالم، و خاصة في الدول
+
+585
+00:54:55,080 --> 00:55:01,540
+المتقدمة، عشان تحافظ على المعروض و الأسعار، تبقى
+
+586
+00:55:01,540 --> 00:55:07,390
+مساحات كثيرة بدونزراعتها تفتيت الملكية الزراعية
+
+587
+00:55:07,390 --> 00:55:15,750
+للأسف الشديد حتى عندنا في غزة أي ملكية تتفتت و
+
+588
+00:55:15,750 --> 00:55:19,650
+خاصة إذا قلت عن خمسمائة متر للفرد الواحد تترك بلا
+
+589
+00:55:19,650 --> 00:55:27,100
+إيشو عندها تباع و عندها ايش؟ تباع و هذا اللي
+
+590
+00:55:27,100 --> 00:55:32,540
+بيخلنا احنا نخسر كثير من المساحات المزروعة و انا
+
+591
+00:55:32,540 --> 00:55:39,340
+اتصور غزة بعد خمسين سنة مش هنلاقي مساحات الذراع
+
+592
+00:55:39,340 --> 00:55:47,270
+بتكون ايش؟القضية ليست فيها وفيكم انتبهوا
+
+593
+00:55:47,270 --> 00:55:53,370
+ناخد اليهود كنموذج الذين ليس لهم حق بفلسطين ورغم
+
+594
+00:55:53,370 --> 00:56:00,010
+ذلك يتفاوضوا وكأنهم بدهم يعيشوا مئات السنين على
+
+595
+00:56:00,010 --> 00:56:05,690
+هذه الأرض وهم متأكدون تماما أن لا بقى عليهم في
+
+596
+00:56:05,690 --> 00:56:11,110
+فلسطينلكن بقولك بلكن عشنا مدنا أطول بلكن عشنا مدة
+
+597
+00:56:11,110 --> 00:56:16,790
+أطول لكن بامر الله تعالى يعني شفنا أن تنياهو بدأ
+
+598
+00:56:16,790 --> 00:56:21,510
+يرتبط في سلوكياته نتيجة ليه؟ ما يحيط بإسرائيل من
+
+599
+00:56:21,510 --> 00:56:28,970
+تغيرات سياسية ليست بمصلحة اليهود ولا عمرهم فكروا
+
+600
+00:56:28,970 --> 00:56:36,050
+بأن ما يحدث الآن سيكون صح لكنربما يكون هناك أمرًا
+
+601
+00:56:36,050 --> 00:56:39,190
+بأمر الله تعالى و أنا دائمًا متفائل كتير كنت أقول
+
+602
+00:56:39,190 --> 00:56:44,310
+للطلاب بأمر الله ستشهدون زوال الكيان
+
+603
+00:56:46,120 --> 00:56:50,200
+وانتم طيبين ان شاء الله لكن متى هو كل ان شاء الله
+
+604
+00:56:50,200 --> 00:56:55,160
+يكون ايه قريبا وان الصبح بأمر الله قصور في انتاج
+
+605
+00:56:55,160 --> 00:56:59,220
+المحل الغذائي طبعا احنا دايما ماعندناش ما يكفي من
+
+606
+00:56:59,220 --> 00:57:07,100
+الانتاج المحلي وبنشوف نتيجة تخلف الوسائل الزراعية
+
+607
+00:57:07,100 --> 00:57:13,750
+لليومالهين تستخدم الأبقار في الحراسة وفي أعماليات
+
+608
+00:57:13,750 --> 00:57:18,610
+الزراعية، عدم اهتمام السلطات بالسياسات الزراعية،
+
+609
+00:57:18,610 --> 00:57:23,610
+وانا بتشوف احنا هم السلطات السياسية جمع الأموال،
+
+610
+00:57:23,610 --> 00:57:28,990
+يعني وجدوا مع أسرة مبارك أكتر من 200 مليار دولار،
+
+611
+00:57:28,990 --> 00:57:33,390
+تلت أضعاف ديون مصر، أو تساوي ديون مصر الداخلية
+
+612
+00:57:33,390 --> 00:57:40,710
+والخارجيةيعني في فئة سياسية وبدأنا ان نجف لعند
+
+613
+00:57:40,710 --> 00:57:45,350
+الهال لأنه كح أخونا خالد وجالمعين رضي الله عنكم
+
+614
+00:57:45,350 --> 00:57:50,610
+وارضاكم وإلى لقاء آخر ان شاء الله
+
diff --git a/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/2RgfVTT14fE_raw.srt b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/2RgfVTT14fE_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9ee0eb54aafd1f0e07ca90864a99f1346dd023e1
--- /dev/null
+++ b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/2RgfVTT14fE_raw.srt
@@ -0,0 +1,1300 @@
+1
+00:00:01,700 --> 00:00:05,300
+بسم الله الرحمن الرحيم عزيزي الطلاب السلام عليكم
+
+2
+00:00:05,300 --> 00:00:09,140
+ورحمة الله وبركاته في محاضرة جديدة من مصادق
+
+3
+00:00:09,140 --> 00:00:14,560
+معادلات تفضلية عادية في هذه المحاضرة سندرس section
+
+4
+00:00:14,560 --> 00:00:19,730
+37 ان شاء الله والذي يتعرض لطريقةلحل المعادلات
+
+5
+00:00:19,730 --> 00:00:24,330
+التفضلية الغير متجانسة في section 3-6 ترسنا طريقة
+
+6
+00:00:24,330 --> 00:00:27,790
+ال under turbulent conditions وكانت هذه الطريقة
+
+7
+00:00:27,790 --> 00:00:31,590
+تحتاج لشروط فهي اللي تستخدم مع كل المسائل تستخدم
+
+8
+00:00:31,590 --> 00:00:36,410
+مع معادلات تفضلية تكون غير متجانسة ولكن المعاملات
+
+9
+00:00:36,410 --> 00:00:40,870
+يجب أن تكون ثابتة و ال non-homogeneous term يجب أن
+
+10
+00:00:40,870 --> 00:00:44,990
+يكون من أنواع ال polynomial أو exponential أو sin
+
+11
+00:00:44,990 --> 00:00:50,140
+أو cos أو حاصل جمحهم أو حاصل ضربهمفي هذا ال
+
+12
+00:00:50,140 --> 00:00:53,780
+section سندرس طريقة ال variation of parameters
+
+13
+00:00:53,780 --> 00:00:58,680
+والتي لا تشترد الشروط والتي تستخدم في جميع المسائل
+
+14
+00:00:58,680 --> 00:01:02,560
+حين
+
+15
+00:01:02,560 --> 00:01:06,000
+وصلنا لل section تلت سبعة variation of parameters
+
+16
+00:01:06,000 --> 00:01:10,900
+هدف المحاضرة واحد اتعرف الطالب على طريقة ال
+
+17
+00:01:10,900 --> 00:01:15,610
+variation of parametersتنين يستخدم الطالب طريقة
+
+18
+00:01:15,610 --> 00:01:18,350
+الـ variation of parameters لإيجاد الحل الخاص
+
+19
+00:01:18,350 --> 00:01:23,210
+لمعادلة التفاضلية الغير متجانسة ثلاثة يحل الطالب
+
+20
+00:01:23,210 --> 00:01:28,790
+مسائل متنوعة على الموضوع this
+
+21
+00:01:28,790 --> 00:01:32,130
+method is more general than the method of
+
+22
+00:01:32,130 --> 00:01:35,530
+undeterminated coefficients since it can enable us
+
+23
+00:01:35,530 --> 00:01:38,290
+to get a particular solution of an arbitrarily
+
+24
+00:01:38,290 --> 00:01:41,050
+second order linear non-homogeneous differential
+
+25
+00:01:41,050 --> 00:01:46,720
+equationهذه الطريقة مثلما ذكرنا تحل جميع المسائل
+
+26
+00:01:46,720 --> 00:01:49,180
+فهي لا تشترض الشروط التي كانت تشترضها الـ
+
+27
+00:01:49,180 --> 00:01:52,390
+Entrepreneurial coefficientsفلو فرضنا أننا لدينا
+
+28
+00:01:52,390 --> 00:01:56,290
+معادلة تفضلية رقم واحد وهي معادلة من درجة تانية
+
+29
+00:01:56,290 --> 00:02:00,610
+linear non-homogeneous لكن معاملة P of T و Q of T
+
+30
+00:02:00,610 --> 00:02:04,810
+ليس ضروري أن تكون ثوابت ممكن تكون ثوابت أو غيرهم و
+
+31
+00:02:04,810 --> 00:02:07,470
+Q of T ممكن تكون أي دالة ليس ضروري أن تكون من
+
+32
+00:02:07,470 --> 00:02:10,130
+أنواع التلاتة اللي أخدناها في section 36 اللي كان
+
+33
+00:02:10,130 --> 00:02:12,770
+عبارة عن exponential أو polynomial أو sin أو cos
+
+34
+00:02:12,770 --> 00:02:16,110
+فطريقة variation of parameters اللي هناخدها
+
+35
+00:02:16,110 --> 00:02:21,450
+المحاضرة هذه بتحل جميع المسائل هذههنتعرض ان شاء
+
+36
+00:02:21,450 --> 00:02:25,770
+الله في ال section للخطوات استخدام الطريقة وبعد
+
+37
+00:02:25,770 --> 00:02:28,790
+ذلك سيكون باقية المحاضرة عبارة عن مسائل ان شاء
+
+38
+00:02:28,790 --> 00:02:33,650
+الله نفترض
+
+39
+00:02:33,650 --> 00:02:39,770
+ان لدينا حلين Y1 وY2 هم حلول homogeneous الـ
+
+40
+00:02:39,770 --> 00:02:41,850
+Corresponding homogeneous differential equation
+
+41
+00:02:41,850 --> 00:02:43,910
+اللي هي نفس ال differential equation طرف الشمال
+
+42
+00:02:43,910 --> 00:02:46,150
+اللي كان من خلال طرف اليمين السفر فنفترض ان لدينا
+
+43
+00:02:46,150 --> 00:02:49,490
+حلين جيبناهمهذه الحالتين فبالتالي الـ
+
+44
+00:02:49,490 --> 00:02:51,650
+Complementary solution زي ما درسنا في السيقشن
+
+45
+00:02:51,650 --> 00:02:55,370
+السابق يُكتب Linear combination بينهم وC1 بY1 زي
+
+46
+00:02:55,370 --> 00:02:59,310
+C2 بY2 فهذه أول خطوة في الحل أن نجيب حل الـ
+
+47
+00:02:59,310 --> 00:02:59,770
+homogeneous
+
+48
+00:03:05,400 --> 00:03:11,600
+عشان نجيب الـ particle solution لازم نبدل الخوابط
+
+49
+00:03:11,600 --> 00:03:15,340
+C1 وC2 اللي في الـ complementary solutions by two
+
+50
+00:03:15,340 --> 00:03:21,340
+functions U1 وU2 فبالتالي بصير ال Y بيكتب U1 في Y1
+
+51
+00:03:21,870 --> 00:03:25,850
+زي الـ U2 في Y2 نفس الـ complementary solution بس
+
+52
+00:03:25,850 --> 00:03:30,550
+استبدالنا الـ C1 بـ U1 اللي هو function في T و C2
+
+53
+00:03:30,550 --> 00:03:35,010
+بـ U2 هو function في T فصار السؤال كيف نجيب U1 و
+
+54
+00:03:35,010 --> 00:03:41,330
+U2 U1 و U2 يحسبوا هذا التكامل U1 بسوى تكامل سالب
+
+55
+00:03:41,330 --> 00:03:46,800
+Y2 يعني إذا أخدنا Y2الحل في الـ Homogeneous نظره
+
+56
+00:03:46,800 --> 00:03:51,200
+في سالب في G of T هي Non-Homogeneous Term مقصود ع
+
+57
+00:03:51,200 --> 00:03:55,160
+الرونسكار تنسوش أن الرونسكار ل Y1 و Y2 ما بيسوي
+
+58
+00:03:55,160 --> 00:03:57,640
+سفر لأن هما linearly independent أو fundamental
+
+59
+00:03:57,640 --> 00:04:01,120
+solution فبالتالي الرونسكار لا يسوي سفرالـ U2
+
+60
+00:04:01,120 --> 00:04:05,840
+يُحسب بنفس الطريقة لكن هنأخد هنا Y1 في G of T
+
+61
+00:04:05,840 --> 00:04:09,940
+عرونسكانت فلاحظوا فيه اختلاف بسيط هنا في U1 مضروب
+
+62
+00:04:09,940 --> 00:04:14,140
+في Y2 مضروب في سالب سالب Y2 لكن بالنسبة لـ U2
+
+63
+00:04:14,140 --> 00:04:19,020
+مضروب في Y1 بدون سالب طبعا هذا هنتعرض له الموضوع
+
+64
+00:04:19,020 --> 00:04:23,360
+كمان ان شاء الله في Chapter 4 و هنشوف ليش إشارة
+
+65
+00:04:23,360 --> 00:04:26,400
+السالب هناك إن شاء الله هتكون الطريقة عامة
+
+66
+00:04:30,180 --> 00:04:33,000
+بالتالي زي ما درسنا في سيكشن تلاتة ستة ال general
+
+67
+00:04:33,000 --> 00:04:35,180
+solution هو حيكون حاصل الجمع ال complementary
+
+68
+00:04:35,180 --> 00:04:42,360
+solution YC زاد ال particular solution تلاتة زي لو
+
+69
+00:04:42,360 --> 00:04:46,860
+لخصنا الخطوات لحل اللي هو ال non homogeneous
+
+70
+00:04:46,860 --> 00:04:52,340
+باستخدام ال variation هم تلت خطوات أساسية إيجاد ال
+
+71
+00:04:52,340 --> 00:04:55,300
+complementary solution YC وهو حل ال homogeneous
+
+72
+00:04:56,660 --> 00:05:03,340
+الثاني هو إيجاد الـ Yp يكون نفس الـ complementary
+
+73
+00:05:03,340 --> 00:05:08,880
+solution Yc لكن نستخدم الـ C1 وC2 بالـ U1 وU2
+
+74
+00:05:08,880 --> 00:05:13,700
+الخطوة التالتة نجمع الـ Yc مع الـ Yp الآن سندرس
+
+75
+00:05:13,700 --> 00:05:20,250
+عدة أمثلة توضحكيفية إيجاد الـ Particular solution
+
+76
+00:05:20,250 --> 00:05:23,750
+للـ Non-homogeneous differential equation باستخدام
+
+77
+00:05:23,750 --> 00:05:27,190
+الـ Variation of Parameters وزي ما قلنا ان هذه
+
+78
+00:05:27,190 --> 00:05:29,630
+الطريقة بتنفع مع جميع الأسئلة فبالتالي الأسئلة
+
+79
+00:05:29,630 --> 00:05:32,970
+درسناها في تلاتة ستة فمن الممكن حلها باستخدام هذه
+
+80
+00:05:32,970 --> 00:05:36,430
+الطريقة لكن طريقة درسناها في تلاتة ستة مابتحلش أي
+
+81
+00:05:36,430 --> 00:05:36,850
+سؤال
+
+82
+00:05:40,720 --> 00:05:43,720
+هذا هو مثال واحد لـ Find the Particle Solution of
+
+83
+00:05:43,720 --> 00:05:45,980
+the Differential Equation YWprimeزادة أربعة Y
+
+84
+00:05:45,980 --> 00:05:49,400
+بساوية تلاتة كوسيقان T فانا طلعت لهذه المعادلة
+
+85
+00:05:49,400 --> 00:05:52,600
+التفاضلية Non-homogeneous لأنها تلاتة كوسيقان T
+
+86
+00:05:52,600 --> 00:05:56,920
+وليس
+
+87
+00:05:56,920 --> 00:06:02,060
+سفرالـ y'' معامله 1 و الـ y' معامله 0 و الـ y
+
+88
+00:06:02,060 --> 00:06:05,220
+أربعة لكن الـ non-homogeneous term تلاتة كوسيقين T
+
+89
+00:06:05,220 --> 00:06:07,680
+هذا مش من النوع التلاتة اللي درسناها لا هو
+
+90
+00:06:07,680 --> 00:06:11,100
+polynomial ولا هو exponential ولا هو sine ولا
+
+91
+00:06:11,100 --> 00:06:14,700
+cosine فبالتالي هذه الطريقة ما بالفعل حلوا بطريقة
+
+92
+00:06:14,700 --> 00:06:17,040
+اللي درسناها في التلاتة ستة طريقة الـ undetermined
+
+93
+00:06:17,040 --> 00:06:20,770
+coefficientsفلازم تستخدم ال variation ففي أسئلة
+
+94
+00:06:20,770 --> 00:06:24,190
+حتى لو ما طلبت منك ال variation مضطر تحل بال
+
+95
+00:06:24,190 --> 00:06:27,670
+variation زاد السؤال لكن في أسئلة زي اللي درستها
+
+96
+00:06:27,670 --> 00:06:31,710
+في تلاتة ستة لو قالك solve السؤال او find a
+
+97
+00:06:31,710 --> 00:06:34,390
+particular solution و سكت و ماحدث في طريقة فممكن
+
+98
+00:06:34,390 --> 00:06:37,250
+تحله بطريقة ال undetermined coefficients أو تحل
+
+99
+00:06:37,250 --> 00:06:40,190
+بطريقة ال variation لكن سؤال زي اللي قلت معناه هذا
+
+100
+00:06:40,190 --> 00:06:44,520
+لازم تحل بطريقة ال variationالخطوات الحالية مثلما
+
+101
+00:06:44,520 --> 00:06:46,540
+ذكرنا أول حاجة هي جيب الـComplementary solution
+
+102
+00:06:46,540 --> 00:06:51,060
+أنا قسمتها بخطوات الحلق القادم step 1 نجد
+
+103
+00:06:51,060 --> 00:06:54,780
+الـComplementary solution هي عند الـcorresponding
+
+104
+00:06:54,780 --> 00:06:59,060
+differential equation نفسها بسبب أننا لم نجهز
+
+105
+00:06:59,060 --> 00:07:01,580
+تاريخ نضع صفردرسنا الحلها في الـ discussion
+
+106
+00:07:01,580 --> 00:07:04,800
+السابقة الـ characterization هي R تربيع زاد أربعة
+
+107
+00:07:04,800 --> 00:07:09,120
+بيساوي Zero فبالتالي R يساوي زاد او ناقص اتنين I و
+
+108
+00:07:09,120 --> 00:07:11,600
+ال complementary solution Y بيساوي C واحد في
+
+109
+00:07:11,600 --> 00:07:16,890
+cosine اتنين T زي C اتنين في sine اتنين Tعن طريق
+
+110
+00:07:16,890 --> 00:07:21,430
+الـ Particle Solution سنختار عدة خطوات أولا يجب أن
+
+111
+00:07:21,430 --> 00:07:27,110
+نخرج Y1 من Y2 ونجي لكي لا يكون هناك مشكلة في
+
+112
+00:07:27,110 --> 00:07:29,370
+الحسابات في الخطوات التالية
+
+113
+00:07:32,920 --> 00:07:40,900
+Y2 Sine 2T هدول الحلول الهوموجينيه و G of T هي هى
+
+114
+00:07:40,900 --> 00:07:44,960
+اعترف هى مكسوب على معامل
+
+115
+00:07:44,960 --> 00:07:59,440
+Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y
+
+116
+00:08:01,430 --> 00:08:06,230
+الخطوة التالتة نحسب U1 و U2 كل هذا على خانة G بالـ
+
+117
+00:08:06,230 --> 00:08:12,710
+YP فالـ U1 هي قانونها تكامل Y2 في الـ G عرونسكان
+
+118
+00:08:12,710 --> 00:08:17,410
+ويساوي تكامل عوض عنهم بالترتيب سالب Y2 هيو سالب
+
+119
+00:08:17,410 --> 00:08:20,690
+سان اتنين T في تلتة في كوسيقان T على اتنين ويساوي
+
+120
+00:08:20,690 --> 00:08:23,170
+سالب تلتة طلعناها لبعض
+
+121
+00:08:28,670 --> 00:08:33,450
+الـSin2t تكتب 2SinT في CosT والكوزي كانت واحدة على
+
+122
+00:08:33,450 --> 00:08:36,890
+الـSin هنا اتنين ورونس كانت وفي اختصارات اتنين
+
+123
+00:08:36,890 --> 00:08:40,270
+متعمقة مع اتنين ونختصر الـSin مع الـSin فبتبقى
+
+124
+00:08:40,270 --> 00:08:44,950
+عندك تكامل الـSinT مضروبة في سلب
+
+125
+00:08:51,220 --> 00:08:55,760
+بالمثل U2 بحسبها يتكامل Y1 في G of T على رونسكان
+
+126
+00:08:55,760 --> 00:09:03,140
+نعوض هذي Y1 وهذا G of T وهذا رونسكان وCos 2T زي ما
+
+127
+00:09:03,140 --> 00:09:08,260
+درسوا في تفاضل ألف يسبب واحد نقص اتنين sin تربيع T
+
+128
+00:09:08,980 --> 00:09:12,540
+ثم نخرج إلى الخارج كثابت وانا عند الـ cosecant
+
+129
+00:09:12,540 --> 00:09:16,540
+الواحد على الـ sine الوقت ممكن نضغط بالبارحة واحدة
+
+130
+00:09:16,540 --> 00:09:19,040
+على الـ sine داخل البرحة بيصير عندي تكاملين تكامل
+
+131
+00:09:19,040 --> 00:09:21,820
+واحدة على الـ sine T والـ sine تذهب مع الـ sine T
+
+132
+00:09:21,820 --> 00:09:25,500
+ويبقى الـ sine T ونكمل التكامل الواحد على الـ sine
+
+133
+00:09:25,500 --> 00:09:29,870
+T هي عبارة عن cosecantونوزع حاجات تلاتة على اتنين
+
+134
+00:09:29,870 --> 00:09:33,190
+ونذهب الى اتنين وهذا يصبح تلاتة في تكامل sin t
+
+135
+00:09:33,190 --> 00:09:36,590
+ساعة تكاملين التكامل الاول هذا من calculus P اللي
+
+136
+00:09:36,590 --> 00:09:41,530
+هو الانقيمة المطلقة لكوزين T زائد كوزين T بإشارة
+
+137
+00:09:41,530 --> 00:09:44,430
+سالبة او في عندي تلاتة على اتنين فبصير سالب تلاتة
+
+138
+00:09:44,430 --> 00:09:50,070
+على اتنين وتكامل ال sin هو سالب كوزين او في عندي
+
+139
+00:09:50,070 --> 00:09:53,390
+هنا سالب فبصير تلاتة كوزين T وزي ما قلنا مش ضروري
+
+140
+00:09:53,390 --> 00:09:59,180
+اضافة زائد ثابتهذه الخطوات عشان نجيب الواي بي وهذا
+
+141
+00:09:59,180 --> 00:10:00,380
+الاخر خطوة الواي بي
+
+142
+00:10:13,290 --> 00:10:19,610
+أو U2 في الخطوة اللي قدامنا هنا فنعود عليها حسبة
+
+143
+00:10:19,610 --> 00:10:26,330
+هي U1 في Y1 وهذا U2 في Y2 الخطوة الأخيرة انه دي ال
+
+144
+00:10:26,330 --> 00:10:34,570
+general solution وهو YC زي YB فهي YC وهذا هو YB
+
+145
+00:10:34,570 --> 00:10:41,080
+جلبناها هنا فهذه خطوات بالتفصيلهناخد كمان مثال على
+
+146
+00:10:41,080 --> 00:10:44,580
+الفكرة solve the following differential equation
+
+147
+00:10:44,580 --> 00:10:47,300
+وهذا هو ال example 2 هو عبارة عن السؤال الخامسة في
+
+148
+00:10:47,300 --> 00:10:52,820
+الكتاب صفحة 190 عندنا نفس الحلقة السابقة ال
+
+149
+00:10:52,820 --> 00:10:55,900
+coefficient عندنا ثوابت لكن أنا مامقدر استخدم ال
+
+150
+00:10:55,900 --> 00:10:57,880
+undetermined coefficients لأن ال term non
+
+151
+00:10:57,880 --> 00:10:58,420
+-homogeneous
+
+152
+00:11:01,290 --> 00:11:04,250
+هو صحيح يقوم بالصين على كزان، لكن نحن ممنوعون أن
+
+153
+00:11:04,250 --> 00:11:07,230
+نأخذ استخدام جسم احنا لازم ندل صين او كزان أو حاصل
+
+154
+00:11:07,230 --> 00:11:12,050
+ضربهم أو حاصل جمعهم، لكن جسمهم لابالتالي لما هذا
+
+155
+00:11:12,050 --> 00:11:16,150
+ليس من الأنواع المذكورة في section 3-6 يجب أن
+
+156
+00:11:16,150 --> 00:11:18,270
+نستخدم معاها طريقة الـ Variation حتى لو لم نطلب
+
+157
+00:11:18,270 --> 00:11:20,570
+السؤال ليس فقط هذه الطريقة التي تحل الـ Variation
+
+158
+00:11:20,570 --> 00:11:23,590
+of Parameters لكن لو فرضنا كانت هذه الـ Sign T
+
+159
+00:11:23,590 --> 00:11:26,090
+ممكن استخدامها أحل بطريقتين طريقة الـ Variation
+
+160
+00:11:26,090 --> 00:11:29,450
+وطريقة الـ Undetermined Proficiency الخطوات هي نفس
+
+161
+00:11:29,450 --> 00:11:33,530
+الخطواتهذه الـ homogeneous differential equation
+
+162
+00:11:33,530 --> 00:11:37,030
+نفس الطرف الشمال بس بدل الـ tan t بلحظة 0 هذه ال
+
+163
+00:11:37,030 --> 00:11:39,350
+characteristic equation R تربية زاد واحد الحلولة R
+
+164
+00:11:39,350 --> 00:11:43,070
+تسوى زادة ونقص I فبالتالي YC بيسوى C1 في Cos T زاد
+
+165
+00:11:43,070 --> 00:11:50,690
+C2 في Sin T بنطلع حيوان 1 Cos T Y2 Sin T وG of T
+
+166
+00:11:50,690 --> 00:11:56,670
+تسوى Tan T بنحسب الرونسكان عشان نقدر نحسب U1 وU2
+
+167
+00:11:57,380 --> 00:12:01,700
+هذه الحالية الـ cosine T و cosine T والحسبة تظهر
+
+168
+00:12:01,700 --> 00:12:07,600
+عند الـ Ronskan 1 طب الهدف لو واحد بدل كان C1 في
+
+169
+00:12:07,600 --> 00:12:10,400
+الـ sine زي C2 في الـ cosine ما مش هيفرق سيظهر
+
+170
+00:12:10,400 --> 00:12:15,700
+معنا سالب واحد لكن مش هيفرق في الحسابات المهم يكون
+
+171
+00:12:15,700 --> 00:12:16,720
+Y1 وY2
+
+172
+00:12:21,200 --> 00:12:28,600
+نحسب U1 و U2 نفس المثال U1 تكامل سلب Y2 في G of T
+
+173
+00:12:28,600 --> 00:12:32,960
+عشان يمكنكم ان تطلعوا كل Y1 و Y2 عشان لا نخبط في
+
+174
+00:12:32,960 --> 00:12:33,680
+التعويضة
+
+175
+00:12:44,260 --> 00:12:48,720
+نحسب التكابل 10t هي عبارة عن صين على كزان نضغط صين
+
+176
+00:12:48,720 --> 00:12:53,740
+في صين تصبح صين تربيع
+
+177
+00:12:54,310 --> 00:12:57,490
+إن جسم 1 على كوزان وكوزان تربية على كوزان فبصير
+
+178
+00:12:57,490 --> 00:13:01,430
+عندى 1 كوزان هي second وفي سالب تكامل second زائد
+
+179
+00:13:01,430 --> 00:13:06,970
+تكامل كوزان T وهو تكامل لو ال second عند لن القيمة
+
+180
+00:13:06,970 --> 00:13:10,410
+المطلقة لsecond T زائد 10T وهو درسته في تفاضل B
+
+181
+00:13:10,410 --> 00:13:16,810
+فهي عندنا سالب موجودة هنا تكامل كوزان هو signU2
+
+182
+00:13:16,810 --> 00:13:21,490
+بيسوي تكامل Y1 في G of T for one scan فاكد كمان
+
+183
+00:13:21,490 --> 00:13:27,770
+مرة انتبهوا هنا ان في U1 في سالب Y2 لكن في U2 عندي
+
+184
+00:13:27,770 --> 00:13:34,850
+Y1 مافيش سالب هنا الأول Y1 هو الـ cosine T و G of
+
+185
+00:13:34,850 --> 00:13:38,490
+T هي نفس الـ tan T و الواحد والتان عبارة عن sin أو
+
+186
+00:13:38,490 --> 00:13:40,490
+cosine الـ cosine بيطلع مع الـ cosine بيطلع مع الـ
+
+187
+00:13:40,490 --> 00:13:43,790
+sine تكامل الـ sine سلب الـ cosineالخطوة الرابعة
+
+188
+00:13:43,790 --> 00:13:45,710
+هي يخرج YB يكون
+
+189
+00:13:45,710 --> 00:14:10,390
+Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1
+
+190
+00:14:11,340 --> 00:14:14,680
+لكن لو كملنا أو طلبه مننا الـ General Solution
+
+191
+00:14:14,680 --> 00:14:17,480
+سنقول ان الـ General Solution هو عبارة عن YC زي YB
+
+192
+00:14:17,480 --> 00:14:20,280
+وهكذا يكمل الخطوة وهذا يكمل الخطوة ليس ضروري تعوض
+
+193
+00:14:20,280 --> 00:14:23,620
+هذه الخطوة لكن نستطيع عوضها لكن لو كافي ان انا لدي
+
+194
+00:14:23,620 --> 00:14:27,780
+شروط فلازم اعوض عشان بعد ذلك كما ذكرنا نعوض في
+
+195
+00:14:27,780 --> 00:14:31,100
+المعادلة هذه في بشتقة عشان نحسب C1 وC2 لكن بسؤالنا
+
+196
+00:14:31,100 --> 00:14:34,980
+الحالي هو طلب الـ General Solution او Solفكتفي
+
+197
+00:14:34,980 --> 00:14:38,480
+عندها الخطوة هو اللي عوضنا لو طلب الـ Particle
+
+198
+00:14:38,480 --> 00:14:39,940
+Solution يكمل عندها الخطوة
+
+199
+00:14:45,290 --> 00:14:49,150
+ندرس مثال، تلاحظوا في الأمثلة السابقة، كان لدي الـ
+
+200
+00:14:49,150 --> 00:14:54,470
+coefficient ثوابت لكن لم أستطع استخدام طريقة 3.6
+
+201
+00:14:54,470 --> 00:14:58,970
+لـ 100 من الـ coefficients لأن الـ G of T لم يكن
+
+202
+00:14:58,970 --> 00:15:03,900
+واحدة من الأنواع اللي درسناهافي المثال هذا انا
+
+203
+00:15:03,900 --> 00:15:06,900
+عندي كمان ال coefficient من الثوابت تلاعظوا Y''
+
+204
+00:15:06,900 --> 00:15:10,760
+معاملة X تربيع وY'' معاملة سلب تلتة X وY معاملة
+
+205
+00:15:10,760 --> 00:15:14,140
+أربعة فانا عندي مش كلهم ثوابت اي هدول مثوابت حتى
+
+206
+00:15:14,140 --> 00:15:18,020
+لو واحد فيهم ثابتتلاحظ الـ Non-homogeneous term هو
+
+207
+00:15:18,020 --> 00:15:22,380
+X تربيع في لن X لو كان هذا مثلا افترض X
+
+208
+00:15:22,380 --> 00:15:27,780
+exponential او ساين او كوزاين مابقدر استخدم معاهم
+
+209
+00:15:27,780 --> 00:15:30,160
+بطريقة تلاتة ستة لأن ال coefficient مالهم متثوابت
+
+210
+00:15:30,160 --> 00:15:32,420
+في الطريقة هناك في تلاتة ستة ال under ال
+
+211
+00:15:32,420 --> 00:15:35,660
+coefficient تحصلت ان يكون لازم ال coefficient يكون
+
+212
+00:15:35,660 --> 00:15:38,480
+ثوابت و ال non-homogeneous term يكون من انواع
+
+213
+00:15:38,480 --> 00:15:43,050
+درسناهاوبالتالي السؤال هذا طبعا لازم نستخدمه مع
+
+214
+00:15:43,050 --> 00:15:45,570
+الـ Variation لأن هذا يتوجه إلى المشكلة أنه لو انا
+
+215
+00:15:45,570 --> 00:15:47,930
+اخذت الـ homogeneous differential equation
+
+216
+00:15:58,020 --> 00:16:02,040
+عشان ايه في هذه النوع من الأسئلة هو بيعطيك حلول
+
+217
+00:16:02,040 --> 00:16:06,640
+الهوموجينيه يعني هو يدعي Y1 بيسوي X تربيع و Y2
+
+218
+00:16:06,640 --> 00:16:11,720
+بيسوي X تربيع لان X هم حلول الهوموجينيه
+
+219
+00:16:16,780 --> 00:16:19,500
+وبالتالي أنا بقدر أجيب اللي هو complementary
+
+220
+00:16:19,500 --> 00:16:24,010
+solution مباشرةطبعا احنا اول حاجة متعودين نخل
+
+221
+00:16:24,010 --> 00:16:27,770
+معامل yw prime واحد فروح نجسم عليه بصير معادل بلد
+
+222
+00:16:27,770 --> 00:16:36,230
+الصورة yw prime وبصير نقص تلاتة على x في y prime
+
+223
+00:16:36,230 --> 00:16:41,390
+طبعا هنا مافيش x فهو خطأ مطبعي المفروض ان اذا
+
+224
+00:16:41,390 --> 00:16:43,990
+جسمنا على x تربيع بصير x على x تربيع تلاتة على x
+
+225
+00:16:43,990 --> 00:16:51,430
+وعنا بالنسبة اربعة على x تربيعوLin X بيبقى لإن X
+
+226
+00:16:51,430 --> 00:16:53,710
+تربي بيحط رمعة X تربي بيبقى لL X يعني هنا X أكبر
+
+227
+00:16:53,710 --> 00:17:02,610
+من 0 تبقى هنا فش X فقط طبعا الخطوات كالقادة أول
+
+228
+00:17:02,610 --> 00:17:04,870
+حاجة نجيب هي complementary solution وهنا جاهز معنا
+
+229
+00:17:04,870 --> 00:17:08,350
+لإن زي ما قلنا أم أعطاكي في السؤال لإن مابن يقدر
+
+230
+00:17:08,350 --> 00:17:10,250
+يحل ال homogeneous لإن لا يستطيع الحل ال
+
+231
+00:17:10,250 --> 00:17:13,490
+homogeneous لإن ال coefficient مستوابط فYC بيساوي
+
+232
+00:17:13,490 --> 00:17:18,120
+C1 في استربيع زي C2 في استربيع في Lin Xنفس الخطوات
+
+233
+00:17:18,120 --> 00:17:23,480
+السابقة نخرج Y1 وY2 وY1 X تربيع Y2 X تربيع لن X
+
+234
+00:17:23,480 --> 00:17:27,700
+جيوف X هي عبارة عن لن X مش X تربيع لن X لو جيوف X
+
+235
+00:17:27,700 --> 00:17:31,180
+بياخد المقدار اللي هنا و بس ماعمل YW براين يعني
+
+236
+00:17:31,180 --> 00:17:35,420
+أنا الحق الخطوة اللي ماعملتها مش مشكلةبهمني بس اخد
+
+237
+00:17:35,420 --> 00:17:38,080
+الـ G اللي هو الطرف اللي هان اجسمه على المعامل هان
+
+238
+00:17:38,080 --> 00:17:40,780
+عشان تطلع G of X الـ G of X بيساوي الـ non
+
+239
+00:17:40,780 --> 00:17:43,660
+-homogeneous term هذا مقسوم على معامل Y ده بالقرآن
+
+240
+00:17:43,660 --> 00:17:46,480
+لو في الحالة هذه ما انجسم X تربيه لان X على X
+
+241
+00:17:46,480 --> 00:17:51,540
+تربيه بيدينا لان X فعندي Y1 وY2 وG of X نحسب
+
+242
+00:17:51,540 --> 00:17:55,160
+الرونسكان هاي عند X تربيه وX تربيه لان X وهي مش
+
+243
+00:17:55,160 --> 00:17:58,160
+دقيقة بتاعتهم حسبنا بيطلع X تقريب فرونسكان بيساوي
+
+244
+00:17:58,160 --> 00:18:02,700
+X تقريب الوقت هنكمل نحسب طبعا زي ما حسبنا U1 وU2
+
+245
+00:18:06,060 --> 00:18:10,280
+فالـ U1 تساوي تكامل سالب Y2 في U of X عرونسكان
+
+246
+00:18:10,280 --> 00:18:14,500
+وتساوي سالب تكامل X تربيه لن X و لن X علي X تكييب
+
+247
+00:18:14,500 --> 00:18:18,420
+في اختصارات X تربيه من X تكييب وضع X تحت اندي فهي
+
+248
+00:18:18,420 --> 00:18:21,600
+سالب و لن X لكل تربيه وهذا تكامل بالكالكولاس P
+
+249
+00:18:21,600 --> 00:18:25,420
+بساوي سالب تلت لX تكييب طبعا ممكن تعمل إذا بدأت
+
+250
+00:18:25,420 --> 00:18:30,380
+تستخدم التعويض مباشر تفترض U تساوي لن X بيطلع
+
+251
+00:18:30,380 --> 00:18:36,720
+مباشرة معاك تكامل U تربيهU تكييب ورجع الـ U لأصل
+
+252
+00:18:36,720 --> 00:18:43,580
+هي لن X في المثل U2 بيسوي تكامل Y1 في G of X عرون
+
+253
+00:18:43,580 --> 00:18:47,500
+سكان وتساوي تكامل X تربيع لن X على X تكييب تساوي
+
+254
+00:18:47,500 --> 00:18:52,260
+تكامل لن X على X DX ليس بالتكامل في الأعلى لكن
+
+255
+00:18:52,260 --> 00:18:57,800
+مافيش هنا تربيع وبيطلع يساوي نص لن X لكل تربيع
+
+256
+00:18:57,800 --> 00:19:00,280
+طبعا زي ما ذكرنا مش ضرور نحط الثوابط
+
+257
+00:19:19,630 --> 00:19:27,490
+الحسابات المبسطة يظهر بـ 6x²Lx لكل تكييبالـ y هو
+
+258
+00:19:27,490 --> 00:19:31,830
+general solution بيسوي yc زي yb هو ما يعود عنه لو
+
+259
+00:19:31,830 --> 00:19:36,510
+فيه شروط الشروط بستخدمها بعد هذه الخطوة بشتق طبعا
+
+260
+00:19:36,510 --> 00:19:39,930
+إذا فيه شروط حدين شرطين عند ال y و ال y prime بجيب
+
+261
+00:19:39,930 --> 00:19:44,750
+ال y prime و بعود بال y و ال y prime في الشروط
+
+262
+00:19:44,750 --> 00:19:48,310
+اللي عندى و بحسب اللي هو ال constant c1c2
+
+263
+00:19:53,500 --> 00:19:57,140
+باقي معناه مثال أربعة وهو عبارة عن سؤال 29 صفحة
+
+264
+00:19:57,140 --> 00:20:01,600
+192 في الكتاب ليس له علاقة بالموضوع التابع الدرس
+
+265
+00:20:01,600 --> 00:20:05,560
+الو ال variation أو ال parameters من ناحية الطريقة
+
+266
+00:20:05,560 --> 00:20:09,100
+لكن درسنا في تلاتة و خمسة طريقة reduction of order
+
+267
+00:20:09,100 --> 00:20:15,120
+في حالة ال homogeneous فعندنا في الكتاب مجموعة من
+
+268
+00:20:15,120 --> 00:20:18,500
+الأسئلة الاستخدام اللي هو طريقة reduction of order
+
+269
+00:20:18,500 --> 00:20:22,960
+في حالة ال non homogeneousوزي ما ذكرنا في ذريعة
+
+270
+00:20:22,960 --> 00:20:26,020
+reduction of order هو بيعطينا حل من حلول المعادلة
+
+271
+00:20:26,020 --> 00:20:28,420
+الفضلية وبطلب من ال general solution أو الحل
+
+272
+00:20:28,420 --> 00:20:32,000
+الثاني لكن دراستنا كانت في تلاتة وخمسة لما كانت
+
+273
+00:20:32,000 --> 00:20:36,720
+homogeneous فنفس الطريقة هناخدها في تلاتة وسبعة في
+
+274
+00:20:36,720 --> 00:20:41,500
+حالة non homogeneous وموجودة في الأسئلة فكمثال رقم
+
+275
+00:20:41,500 --> 00:20:45,480
+تسعة وعشرين صفحة مية اتنين وتسعين هذه معادلة
+
+276
+00:20:45,480 --> 00:20:50,390
+الفضلية انها non homogeneousبيعطينا حل أنه يواحد
+
+277
+00:20:50,390 --> 00:20:53,410
+بيسوي الـ T ممكن تتأكد وعوضه فيها بحلها لكن هو
+
+278
+00:20:53,410 --> 00:20:59,370
+مديني حل جاهز طالب مننا ان جيب الحل الثاني او جيب
+
+279
+00:20:59,370 --> 00:21:03,530
+ال general solution هو طالب هنا use the method of
+
+280
+00:21:03,530 --> 00:21:05,590
+reduction of order to solve the differential
+
+281
+00:21:05,590 --> 00:21:09,070
+equation طبعا حتى لو ماعطيكاش اسم الطريقة هيفش
+
+282
+00:21:09,070 --> 00:21:13,250
+اللي هي انه بيعطيك حل و بطلب منك الحل الثاني او
+
+283
+00:21:13,250 --> 00:21:17,350
+جيب ال general solution خطوات مثل ما درستنا في
+
+284
+00:21:17,350 --> 00:21:23,540
+تلاتة الخمسةأنا بخلّي معامل y double prime واحد
+
+285
+00:21:23,540 --> 00:21:29,780
+بجسم التربيع نفترض
+
+286
+00:21:29,780 --> 00:21:35,340
+الحل العام y يسوي function في T سمينها V of T في Y
+
+287
+00:21:35,340 --> 00:21:40,100
+واحد Y واحد المعطنية في الـ T Y واحد تسوي T وY
+
+288
+00:21:40,100 --> 00:21:42,920
+واحد البرامج تسوي واحد و V of T تسوي سلب اتنين على
+
+289
+00:21:42,920 --> 00:21:48,950
+T منها سلب اتنين على T وبأكيد أنا على السالملأن
+
+290
+00:21:48,950 --> 00:21:50,490
+هناك الكثير من الطلاب ياخدوا 2 على T ويبقوا
+
+291
+00:21:50,490 --> 00:21:53,930
+بالسلسلة وهذا يجعلهم مشاكل كثيرة في الحسابات طبعا
+
+292
+00:21:53,930 --> 00:21:58,430
+احنا زي ما ذكرنا هذه معادلة بتحول ال reduction of
+
+293
+00:21:58,430 --> 00:22:04,050
+order ال Y1 في VW prime زي 2Y1 prime زي BY1 في V
+
+294
+00:22:04,050 --> 00:22:07,970
+prime سوى Zero قلنا اللي مابحفظهاش طبعا هو الواحد
+
+295
+00:22:07,970 --> 00:22:14,490
+مع كتر استخدام مابحفظهاهيتطر انه ياخد التعويضة هذه
+
+296
+00:22:14,490 --> 00:22:19,570
+يعوض P of T في Y واحد يحط T ويشتغل مرتين يعوض هذا
+
+297
+00:22:19,570 --> 00:22:22,950
+ويقعد يحسب ويبسط طبعا هياخد معاه وقت كتير ومجهود
+
+298
+00:22:22,950 --> 00:22:26,720
+كبيرهنا على طول مباشرة تطلع معانا المعادلة الفضلية
+
+299
+00:22:26,720 --> 00:22:31,340
+y1t في vw prime زائد تنين في y1 prime اللي هي واحد
+
+300
+00:22:31,340 --> 00:22:35,140
+زائد بيه اللي هي سالب اتنين على t هي في t في v
+
+301
+00:22:35,140 --> 00:22:39,320
+prime سواء أربعة نتبسط ونجمع الجمع هذا كله بطلع
+
+302
+00:22:39,320 --> 00:22:45,520
+صفة فتنزل t في vw prime تحته ساوية أربعة نجسم على
+
+303
+00:22:45,520 --> 00:22:49,680
+t بيصير vw prime سواء أربعة على t نكامل v prime
+
+304
+00:22:49,680 --> 00:22:54,020
+سواء أربعة لان t زائد c واحدبنكمل كمان مرة V بسوء
+
+305
+00:22:54,020 --> 00:22:57,800
+4 تكامل الـ N T من Calculus B T في الـ N T نقص T
+
+306
+00:22:57,800 --> 00:23:02,860
+زائد C1 في T زائد C2 نرجع للفرض الأول ان الـ
+
+307
+00:23:02,860 --> 00:23:06,480
+General solution يسوي V of T في Y1 فانا Y بيسوي V
+
+308
+00:23:06,480 --> 00:23:09,220
+of T في Y1 وY سوية هاي V of T جيبناها كلها في الـ
+
+309
+00:23:09,220 --> 00:23:14,180
+T اللي هو Y1 ده ده 4T تربيع بيطلع في الـ N T نقص T
+
+310
+00:23:14,180 --> 00:23:20,640
+تربيع زائد C1 في T تربيع زائد C2 في Tهنا نجمع
+
+311
+00:23:20,640 --> 00:23:24,520
+تاربيع
+
+312
+00:23:24,890 --> 00:23:29,990
+Y بيصير Y بيساوي C2 في T زي C3 في تربيع زي 4T
+
+313
+00:23:29,990 --> 00:23:36,570
+تربيع لنتي وهنا C3 هو عبارة عن C1 نقص 4 هكذا نحن
+
+314
+00:23:36,570 --> 00:23:41,030
+حللنا سؤال عن طريقة reduction of order هذه
+
+315
+00:23:41,030 --> 00:23:45,590
+الموجودة في آخر section تلاتة سبعة لكن الجزء
+
+316
+00:23:45,590 --> 00:23:47,850
+الأساسي من الsection كان عن طريقة variation of
+
+317
+00:23:47,850 --> 00:23:49,850
+parameters وحللنا عليها تلت أمثلة
+
+318
+00:23:52,770 --> 00:23:55,790
+في نهاية هذه المحاضرة أطلب منكم أن تقوموا بدراسة
+
+319
+00:23:55,790 --> 00:24:01,430
+الطريقة مرة أخرى وحل الأمثلة التي حللناها وحل
+
+320
+00:24:01,430 --> 00:24:05,930
+أسئلة الكتاب إن شاء الله كما يجب أن تحلوا أمثلة
+
+321
+00:24:05,930 --> 00:24:10,370
+وأسئلة على طريقة Reduction of Order اللي دراسناها
+
+322
+00:24:10,370 --> 00:24:13,990
+في section 3 و5 كانت في حالة الـ homogeneous
+
+323
+00:24:13,990 --> 00:24:16,870
+واليوم حلنا عليها مثال في حالة الـ non homogeneous
+
+324
+00:24:17,690 --> 00:24:22,390
+بنت ختام أتمنى لكم الصحة والعافية والتوفيق والسلام
+
+325
+00:24:22,390 --> 00:24:23,690
+عليكم ورحمة الله وبركاته
+
diff --git a/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/5p8BnpQviQY.srt b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/5p8BnpQviQY.srt
new file mode 100644
index 0000000000000000000000000000000000000000..a063c9ffae9323243f9278d74bc6ecf5f4b321ba
--- /dev/null
+++ b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/5p8BnpQviQY.srt
@@ -0,0 +1,1243 @@
+1
+00:00:00,000 --> 00:00:04,540
+السلام عليكم ورحمة الله وبركاته  عزيزي الله ورحمتكم
+
+2
+00:00:04,540 --> 00:00:08,640
+بقية هذا الفيديو الذي سنشرحه إن شاء الله سيكشن 
+
+3
+00:00:08,640 --> 00:00:18,920
+ثلاث اثنين من هذه المعادلات التفاصيل العادية يعني
+
+4
+00:00:18,920 --> 00:00:22,320
+و أنا سيكشن fundamental solutions of linear
+
+5
+00:00:22,320 --> 00:00:28,130
+homogeneous equations الحلول الأساسية للمعادلات
+
+6
+00:00:28,130 --> 00:00:37,310
+ال تفاضلية خطية متجانسة  أهلا في نهاية المحاضرة توقع
+
+7
+00:00:37,310 --> 00:00:42,570
+من الطالب المتوقع أن يوجد الطالب الفترة التي يقع
+
+8
+00:00:42,570 --> 00:00:45,970
+فيها حل المعادلة التفاضلية من الدرجة الثانية طبعا
+
+9
+00:00:45,970 --> 00:00:53,310
+يتعرف على شروط من خلال النظريات يتعرف الطالب على
+
+10
+00:00:53,310 --> 00:01:00,390
+مفهوم جديد ومهم سيستمر معنا في هذا الفصل وفِتنه
+
+11
+00:01:00,390 --> 00:01:05,370
+القادم إن شاء الله يتعرف الطالب على مفهوم الحلول 
+
+12
+00:01:05,370 --> 00:01:10,370
+الأساسية وشروطها متى نسمي الحلول الحلول الأساسية
+
+13
+00:01:10,370 --> 00:01:14,470
+وما هي الشروط ومن هنا تنتج الحل العام للمعادلة
+
+14
+00:01:14,470 --> 00:01:19,610
+التفاضلية  خيرا يحل الطالب مسائل متنوعة عن الموضوع
+
+15
+00:01:25,500 --> 00:01:31,160
+بداية نناقش نظرية 3.2.1 Reconsider the initial
+
+16
+00:01:31,160 --> 00:01:36,000
+value problem y double prime  زي P of x y prime زي Q of x 
+
+17
+00:01:36,000 --> 00:01:40,120
+y تساوي G of x وانا عند الـ initial condition زي
+
+18
+00:01:40,120 --> 00:01:46,860
+ما تشاهدونها عند النقطة x0 إذا كانت المعاملات P وQ
+
+19
+00:01:46,860 --> 00:01:52,680
+وG are continuous on the interval I that contains
+
+20
+00:01:52,680 --> 00:01:56,380
+the point x0, then there is exactly one solution
+
+21
+00:01:56,380 --> 00:01:59,560
+of the initial value problem and the solution
+
+22
+00:01:59,560 --> 00:02:05,880
+exists through the interval I. هذه النظرية تعطيني
+
+23
+00:02:05,880 --> 00:02:12,980
+متى يكون ال initial value problem حل وحيد 
+
+24
+00:02:12,980 --> 00:02:17,780
+والفترة التي يقع فيها الحل وحيد.هناك شرط أن تكون
+
+25
+00:02:17,780 --> 00:02:23,300
+الفترة التي يقع فيها الحل وأن تكون الحل واحد أن 
+
+26
+00:02:23,300 --> 00:02:29,100
+تكون في هذه الفترة المعاملات P وQ وG متصلة وتحتوي
+
+27
+00:02:29,100 --> 00:02:34,300
+هذه الفترة الـ initial point x0 فنستخدم هذه
+
+28
+00:02:34,300 --> 00:02:41,080
+النظرية في حل مسائل عادة بتتعلق بـ أوجد الفترة التي
+
+29
+00:02:41,080 --> 00:02:44,850
+يقع فيها حل الـ initial value problem أو هل الـ
+
+30
+00:02:44,850 --> 00:02:47,830
+initial value problem لها حل وحيد نستفيد من
+
+31
+00:02:47,830 --> 00:02:52,610
+هذه النظرية الثالثة existence and uniqueness هذه
+
+32
+00:02:52,610 --> 00:02:59,890
+النظرية بتعطينا أنه متى يكون الحل موجود ووحيد كمان 
+
+33
+00:02:59,890 --> 00:03:03,270
+بتعطينا اللي هي الفترة التي يقع فيها الحل it also
+
+34
+00:03:03,270 --> 00:03:06,130
+states that the solution exists through any
+
+35
+00:03:06,130 --> 00:03:09,830
+interval I containing the initial point x0 in
+
+36
+00:03:09,830 --> 00:03:13,030
+which P with Q and G المعاملات are continuous
+
+37
+00:03:13,470 --> 00:03:18,310
+النظرية 3.2.1 تستخدم 3.2.1
+
+38
+00:03:18,310 --> 00:03:19,750
+تستخدم 3.2.1 تستخدم 3.2.1
+
+39
+00:03:19,750 --> 00:03:21,930
+تستخدم 3.2.1 تستخدم 3.2.1
+
+40
+00:03:21,930 --> 00:03:24,990
+تستخدم 3.2.1 تستخدم 3.2.1
+
+41
+00:03:24,990 --> 00:03:31,550
+تستخدم 3.2.1 تستخدم 3.2.1
+
+42
+00:03:31,550 --> 00:03:34,970
+تستخدم 3.2.1 تستخدم 3.2.1
+
+43
+00:03:34,970 --> 00:03:39,870
+تستخدم 3.2.1 تستخدم 3.2.1
+
+44
+00:03:39,870 --> 00:03:45,420
+تستخدم 3.2.1 نفس هذه النظرية تعرضنا لها
+
+45
+00:03:45,420 --> 00:03:49,160
+في الفصل السابق لكن كانت المعادلة تغير من الدرجة
+
+46
+00:03:49,160 --> 00:03:54,100
+الأولى فقط كانت coefficient اثنين لكن هنا عشان
+
+47
+00:03:54,100 --> 00:03:58,820
+أنها من الدرجة الثانية فعندنا ثلاث coefficient P وQ 
+
+48
+00:03:58,820 --> 00:04:05,950
+وG فنتجت قضية من خلال مثال كيفية استفادة من هذه
+
+49
+00:04:05,950 --> 00:04:18,510
+النظرية مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا
+
+50
+00:04:27,920 --> 00:04:31,300
+هذا الـ unique solution مطلوب منها إيجاد الفترة
+
+51
+00:04:31,300 --> 00:04:36,400
+التي يكون فيها حل الـ initial value problem اللي 
+
+52
+00:04:36,400 --> 00:04:45,040
+هي أمامنا في الشريحة لها حل وحيد حسب
+
+53
+00:04:45,040 --> 00:04:47,880
+شروط النظرية الفترة حتى تكون ال initial value
+
+54
+00:04:47,880 --> 00:04:53,440
+problem لها حل وحيد ستبقى مدت فترة تحقق شرطين
+
+55
+00:04:53,440 --> 00:04:57,770
+الشرط الأول يكون فيها المعاملات متصلة و شرط ثاني
+
+56
+00:04:57,770 --> 00:05:00,570
+تحتوي ال initial point وهي في حالتنا النقطة واحدة
+
+57
+00:05:00,570 --> 00:05:05,230
+طبعا
+
+58
+00:05:05,230 --> 00:05:08,450
+في حال عدم توفر أحد الشرطين لا نضمن أن الحل
+
+59
+00:05:08,450 --> 00:05:14,730
+الموجود هو الحل الوحيد  شغال أول خطوة إيجاد 
+
+60
+00:05:14,730 --> 00:05:19,030
+المعاملات أنا عندي ثلاث معاملات P of x , Q of x , and G of x
+
+61
+00:05:19,030 --> 00:05:23,400
+طبعا احنا زي ما اتعودنا بنخلي دائما عامل مشترك
+
+62
+00:05:23,400 --> 00:05:27,180
+بقراءة واحدة نقسم المعادلة تقريبا على P of x
+
+63
+00:05:27,180 --> 00:05:35,220
+نحصل على هذه المعادلة عندها المعاملات P , Q وG 
+
+64
+00:05:35,220 --> 00:05:39,740
+سواء Q  على P of x  نقطة ثلاثة وزي ما واضح إن P 
+
+65
+00:05:39,740 --> 00:05:44,900
+of x متصلة على الـ R رغم إن فيها أسواق بالمقام أسواق
+
+66
+00:05:44,900 --> 00:05:51,420
+المقام عند 2 و 3 والصفر فبالتالي P of x متصلة
+
+67
+00:05:51,420 --> 00:05:56,340
+على الفترة السابقة للنهاية للصفر اتحاد الفترة من 
+
+68
+00:05:56,340 --> 00:06:01,120
+الصفر لثلاثة اتحاد الفترة من ثلاثة لما لا نهاية  Q of x
+
+69
+00:06:01,120 --> 00:06:06,700
+تساوي سالب x
+
+70
+00:06:06,700 --> 00:06:09,420
+زائد 3 على x ناقص 3 تقريبا تقريبا
+
+71
+00:06:09,420 --> 00:06:14,020
+تقريبا متصلة على نفس السابقة على كل R ماعدا صفر
+
+72
+00:06:14,020 --> 00:06:18,880
+وثلاثة متصلة على الفترات  أخيرا G of x تساوي صفر
+
+73
+00:06:18,880 --> 00:06:26,060
+ومتصلة على كل R أول خطوة نجيب أن نحسب الفترة أو
+
+74
+00:06:26,060 --> 00:06:27,780
+نوجد الفترة التي تكون فيها الثلاث 
+
+75
+00:06:30,600 --> 00:06:37,320
+متصل عليها نوجد تقاطع فبيكون عند الـ P و الـ Q و الـ
+
+76
+00:06:37,320 --> 00:06:42,660
+G متصلات على الفترة من سالب ما لا نهاية لثلاثة ما عدا اللي هي
+
+77
+00:06:42,660 --> 00:06:50,440
+ده هو أول شرط الآن الشرط الثاني نوجد الفترة حتى 
+
+78
+00:06:50,440 --> 00:06:53,320
+نوجد الفترة التي فيها الحل الوحيد يجب أن تحتوي على
+
+79
+00:06:53,320 --> 00:06:56,520
+هذه الفترة ال initial point أنا عند الـ initial
+
+80
+00:06:56,520 --> 00:07:00,280
+point في السؤال هي الواحد لأن الواحد يقع في فترة
+
+81
+00:07:00,280 --> 00:07:04,260
+من صفر لثلاثة إذا لدينا هذا المثال الـ initial
+
+82
+00:07:04,260 --> 00:07:06,740
+value problem  هذا يملك solution on the
+
+83
+00:07:06,740 --> 00:07:11,740
+intermediate level طبعا في حال أن السؤال ليس فيه
+
+84
+00:07:11,740 --> 00:07:14,100
+شرط ابتدائي 
+
+85
+00:07:39,840 --> 00:07:43,280
+هو طلب مني to find the interval فقط الحل هو نفس
+
+86
+00:07:43,280 --> 00:07:47,720
+الحل المطلوب دلوقتي إن أنا ممكن أجيب فترة داخل هذه
+
+87
+00:07:47,720 --> 00:07:51,220
+الفترة تحقق الشروط إذا أخذنا مثلا فترة من صفر
+
+88
+00:07:51,220 --> 00:07:54,560
+للاثنين فمثلا من صفر للاثنين لأن أنا أقع داخل
+
+89
+00:07:54,560 --> 00:07:57,860
+فترة من صفر لثلاثة فال coefficient الثلاث متصلات
+
+90
+00:07:57,860 --> 00:08:01,180
+عليها  وهي  الأولى  وتحتوي ال initial point فهي فترة
+
+91
+00:08:01,180 --> 00:08:04,260
+فال initial value problem في الفترة من صفر للاثنين
+
+92
+00:08:05,650 --> 00:08:09,850
+هذا الوضع هو الوضع الموجود في أطول فترة لـ 0 لـ 
+
+93
+00:08:09,850 --> 00:08:15,530
+3 لو استعملت بمجموعة أو مجموعة أو مجموعة أو مجموعة
+
+94
+00:08:15,530 --> 00:08:17,290
+أو مجموعة أو مجموعة أو مجموعة أو مجموعة أو مجموعة
+
+95
+00:08:17,290 --> 00:08:17,530
+أو مجموعة أو مجموعة أو مجموعة أو مجموعة أو مجموعة
+
+96
+00:08:17,530 --> 00:08:18,070
+أو مجموعة أو مجموعة أو مجموعة أو مجموعة أو مجموعة
+
+97
+00:08:18,070 --> 00:08:21,610
+أو مجموعة أو مجموعة أو مجموعة أو مجموعة أو مجموعة
+
+98
+00:08:21,610 --> 00:08:25,990
+أو مجموعة أو
+
+99
+00:08:25,990 --> 00:08:35,620
+مجموعة أو مجموعة أو مجموعة نظرية 3.2.2 إذا Y1 وY2 
+
+100
+00:08:35,620 --> 00:08:40,440
+كانت حلولين لحل المعادلة  Y يبقى حل Y يبقى حل Y
+
+101
+00:08:40,440 --> 00:08:41,880
+يبقى حل Y يبقى حل Y يبقى حل Y يبقى حل
+
+102
+00:08:41,880 --> 00:08:42,320
+Y يبقى حل Y يبقى حل Y يبقى حل Y يبقى
+
+103
+00:08:42,320 --> 00:08:42,500
+حل Y يبقى حل Y يبقى حل Y يبقى حل Y
+
+104
+00:08:42,500 --> 00:08:42,520
+يبقى حل Y يبقى حل Y يبقى حل Y يبقى حل
+
+105
+00:08:42,520 --> 00:08:49,740
+Y يبقى حل Y يبقى حل Y يبقى حل Y يبقى
+
+106
+00:08:49,740 --> 00:08:53,540
+حل Y
+
+107
+00:08:53,540 --> 00:08:57,460
+يبقى
+
+108
+00:08:59,850 --> 00:09:03,530
+هذه النظريات بتشير لي أنا لو أنا عرفت حلية لل
+
+109
+00:09:03,530 --> 00:09:07,550
+initial value problem ف أنا ممكن أولد منها مع عدد
+
+110
+00:09:07,550 --> 00:09:12,210
+لا نهائي من الحلول بأني هجيب  ثابت عشوائي للحلية
+
+111
+00:09:12,210 --> 00:09:15,210
+و أضرب الحل الأول في الثابت C1  و أضرب الحل
+
+112
+00:09:15,210 --> 00:09:17,490
+الثاني في الثابت C2 و أجمعهم من بعض
+
+113
+00:09:23,770 --> 00:09:30,210
+حتى نعرف الحلول الأساسية بالمعادلة التفاضلية نحتاج
+
+114
+00:09:30,210 --> 00:09:39,230
+تعريف مهم جدًا في الشطر هذا هو التطبيقات والشرط
+
+115
+00:09:39,230 --> 00:09:45,900
+أو الوصفة أو الشرط القادم لو كان Y1 وY2
+
+116
+00:09:45,900 --> 00:09:49,140
+solutions of the differential equation في أمامنا
+
+117
+00:09:49,140 --> 00:09:53,240
+فنعرف الـ wronskian يتم تعريفه بمحدد الـ wronskian أو
+
+118
+00:09:53,240 --> 00:09:58,300
+مثلًا نختصر بالكلمة wronskian  أو ال solutions عرض
+
+119
+00:09:58,300 --> 00:10:02,660
+لهذا الصورة الـ wronskian  الـ a1 و a2 هو المحدد اللي هو
+
+120
+00:10:02,660 --> 00:10:05,910
+أمامنا  هو يجيب المحدد نضع في السطر الأول اللي هو
+
+121
+00:10:05,910 --> 00:10:10,730
+الحلين y1 y2 أو two functions سطر ثاني مشتقة أولى 
+
+122
+00:10:10,730 --> 00:10:17,490
+بتحسب المحدد y1 y2 ناقص y2 y1 اقعى هذا يسمى
+
+123
+00:10:17,490 --> 00:10:20,770
+المحدد wronskian طبعا في حالتنا احنا لازم نتعامل مع محدد
+
+124
+00:10:20,770 --> 00:10:25,110
+2 × 2 لأن أنا عندي حلين احنا هنتعرض لهذا
+
+125
+00:10:25,110 --> 00:10:31,040
+المحدد قدامي من الكون أكثر من دالتين نفس الشيء أن 
+
+126
+00:10:31,040 --> 00:10:35,420
+المحدد لازم يكون الـ matrix الـ square عدد الصفوف 
+
+127
+00:10:35,420 --> 00:10:39,040
+العامودية والعرضية وفي الحالة اللي عندنا احنا 2 في
+
+128
+00:10:39,040 --> 00:10:46,940
+2 فهيكون بالصورة هذه طيب هنستفيد من النظرية
+
+129
+00:10:46,940 --> 00:10:51,260
+السابقة والتعريف السابق نظرية 3.2.3
+
+130
+00:10:51,260 --> 00:10:57,150
+بالتلاتة نظرية 3.2.3 يقول إذا كان Y1 وY2 
+
+131
+00:10:57,150 --> 00:10:59,070
+هما  two solutions of the differential
+
+132
+00:10:59,070 --> 00:11:01,910
+equation احنا عرفنا من نظرية الصالحة أنه مادام
+
+133
+00:11:01,910 --> 00:11:05,130
+عرفنا two solutions فأي linear combination بينهم
+
+134
+00:11:05,130 --> 00:11:08,770
+هيعطينا ال solution هم قادرين على الحل أو التابع
+
+135
+00:11:08,770 --> 00:11:14,570
+للحل التاني التابع للثاني الحل الجديد النظرية هذه 
+
+136
+00:11:14,570 --> 00:11:17,970
+بتضيف أنه في شرط على الحلين لأن لو كان الحل اللي
+
+137
+00:11:17,970 --> 00:11:22,130
+wronskian  معهم لا يساوي بالزيرو عند الـ initial
+
+138
+00:11:22,130 --> 00:11:22,370
+point
+
+139
+00:11:26,220 --> 00:11:30,560
+هذه النقطة x0 هي الشرطين لإيجاد الـ initial value
+
+140
+00:11:30,560 --> 00:11:34,360
+problem عند x0 
+
+141
+00:11:34,360 --> 00:11:41,480
+كان لا يساوى 6 then there are constants C1 C2 C3 C4
+
+142
+00:11:41,480 --> 00:11:46,400
+C5 C6 C7 C8 C9 C10 C11 C12 C12 C13 C12 C13 C12 C12
+
+143
+00:11:46,400 --> 00:11:49,860
+C12 C12 C12 C12 C12 C12 C12 C12 C12 C12 C12 C12
+
+144
+00:11:49,860 --> 00:11:56,830
+C12 أنا لو ألفت حلّين في المعادلة التفاضلية الـ y1
+
+145
+00:11:56,830 --> 00:12:00,890
+وy2 وكان الوزنز كان  تمحمله  سوى 0 عند الـ D ونقطة
+
+146
+00:12:00,890 --> 00:12:07,570
+D0 في الشهور فلازم ألاقي حل Y مديبه على أنه تجميع
+
+147
+00:12:07,570 --> 00:12:14,110
+خط من الحلّين الأساسية C1Y1 وC2Y2 وهذا الحل يحقق
+
+148
+00:12:14,110 --> 00:12:16,170
+المعادلة التفاضلية في إضافة للشهور
+
+149
+00:12:19,280 --> 00:12:22,520
+لأن هنا أضفنا شرط إن الوصف كان لا يساوي الاسم
+
+150
+00:12:22,520 --> 00:12:28,620
+نيجا
+
+151
+00:12:28,620 --> 00:12:35,940
+لغة لنظرية أخيرة في هذه الـ section نفس السابق أنه
+
+152
+00:12:35,940 --> 00:12:41,990
+مفترض أنه يوجد حلل للمعادلة التفاضلية y1 y2 y1 and
+
+153
+00:12:41,990 --> 00:12:44,310
+y2 are the solutions of the differential equation
+
+154
+00:12:44,310 --> 00:12:47,190
+y double prime ذات u of t y prime ذات u of t y
+
+155
+00:12:47,190 --> 00:12:50,370
+تساوى 0 وإذا كان هناك مجموعة أخرى أخرى أخرى أخرى
+
+156
+00:12:50,370 --> 00:12:51,410
+أخرى أخرى أخرى أخرى أخرى أخرى أخرى أخرى أخرى أخرى
+
+157
+00:12:51,410 --> 00:12:54,070
+أخرى أخرى أخرى أخرى أخرى أخرى أخرى أخرى أخرى أخرى
+
+158
+00:12:54,070 --> 00:12:54,610
+أخرى أخرى أخرى أخرى أخرى أخرى أخرى أخرى أخرى أخرى
+
+159
+00:12:54,610 --> 00:12:59,130
+أخرى أخرى أخرى أخرى أخرى أخرى أخرى أخرى أخرى أخرى
+
+160
+00:12:59,130 --> 00:13:00,630
+أخرى أخرى أخرى أخرى أخرى أخرى أخرى أخرى أخرى أخرى
+
+161
+00:13:00,630 --> 00:13:08,680
+أخرى أخرى أخرى أخرى أخرى أخرى طبعا هذه النظرية
+
+162
+00:13:08,680 --> 00:13:17,240
+بتعطينا حلّة هذه النظرية بتقول إذا كان هناك حلّة
+
+163
+00:13:17,240 --> 00:13:20,520
+يساوي
+
+164
+00:13:20,520 --> 00:13:28,740
+السفر عن أي نقطة بـ0 فتجد نقطة حتى نورسكان لا
+
+165
+00:13:28,740 --> 00:13:37,990
+يساوي 0 فالتجميع الخط لحلّة C1Y1 إلى C2Y2 includes
+
+166
+00:13:37,990 --> 00:13:44,090
+every يعني هنا هيشمل كل الحلول هيشمل كل الحلول لأي
+
+167
+00:13:44,090 --> 00:13:47,610
+حل أنا للمعادلة الطفوذية عندي هأكتب above الصورة
+
+168
+00:13:47,610 --> 00:13:53,430
+تجميع خط من y واحد و y اتنين فبالتالي أي حل
+
+169
+00:13:53,430 --> 00:13:58,770
+للمعادلة الطفوذية هيكتب صورة تدمير خط من y واحد و
+
+170
+00:13:58,770 --> 00:14:04,650
+y اتنين هذه زي ما انت شايفين includes every
+
+171
+00:14:04,650 --> 00:14:09,020
+solution of the differential equation لأي حل ،
+
+172
+00:14:09,020 --> 00:14:14,720
+تخيلوا للمعادلة الفضلية ده هيأتي من الحلين Y1 وY2
+
+173
+00:14:14,720 --> 00:14:18,460
+واضح من الشرط انهم اول حاجة لازم تكون two
+
+174
+00:14:18,460 --> 00:14:21,900
+solutions والثاني ان تباع الـRules كان تباع حملة Y
+
+175
+00:14:21,900 --> 00:14:28,580
+سواء الـ0 وهذه الشرطين هم هنستخدمها في معرفة هل
+
+176
+00:14:28,580 --> 00:14:35,460
+الحلين اللي عندى خلول أساسية وإجال الحل العام طبعاً
+
+177
+00:14:35,460 --> 00:14:41,420
+من هذه النظرية هنستنتج مفهوم جديد وهو الحل العام
+
+178
+00:14:41,420 --> 00:14:44,440
+دعنا نشوف الـ Definition الـ Definition هو الـ
+
+179
+00:14:44,440 --> 00:14:48,340
+solution Y1 يساوى C1 وY1 يساوى C2 وY2 يسمى الـ
+
+180
+00:14:48,340 --> 00:14:52,000
+General Solution أو الـ Differential Equation الـ
+
+181
+00:14:52,000 --> 00:14:56,820
+Solutions Y1 وY2 و الـ Non-Zero Organs are set to
+
+182
+00:14:56,820 --> 00:15:02,730
+form a fundamental set of solutions أنا أنا الحالين
+
+183
+00:15:02,730 --> 00:15:06,230
+الأولى و الحالين الثانية والأولى
+
+184
+00:15:12,880 --> 00:15:15,820
+والتجميل خطتين تبع حمضين اكم باسم واحد سوى C واحد
+
+185
+00:15:15,820 --> 00:15:17,800
+واحد واحد واحد واحد واحد واحد واحد واحد واحد واحد
+
+186
+00:15:17,800 --> 00:15:18,320
+واحد واحد واحد واحد واحد واحد واحد واحد واحد واحد
+
+187
+00:15:18,320 --> 00:15:18,360
+واحد واحد واحد واحد واحد واحد واحد واحد واحد واحد
+
+188
+00:15:18,360 --> 00:15:20,840
+واحد واحد واحد واحد واحد واحد واحد واحد واحد واحد
+
+189
+00:15:20,840 --> 00:15:23,980
+واحد واحد واحد واحد واحد واحد واحد واحد واحد واحد
+
+190
+00:15:23,980 --> 00:15:24,020
+واحد واحد واحد واحد واحد واحد واحد
+
+191
+00:15:43,510 --> 00:15:49,630
+والحل العام بيجي كتجميع خط منها وعلى
+
+192
+00:15:49,630 --> 00:15:53,630
+اقتال احد الشرطين مابيكنوش حلول اساسية المعنى حلول
+
+193
+00:15:53,630 --> 00:15:59,270
+أساسية ان اي حل هيكتب كتجميع خط يقنعه ناخد مثال
+
+194
+00:15:59,270 --> 00:16:03,390
+على النظرية طبعا احنا دراسة في session تلاتة واحد
+
+195
+00:16:03,390 --> 00:16:07,450
+اللي هو المعادلة الأفضلية مدالية تانية أخدنا حالة
+
+196
+00:16:07,450 --> 00:16:12,630
+أولى دراسة ال characteristics equation احنا أخدنا
+
+197
+00:16:12,630 --> 00:16:16,650
+حالة من الواحدة فقط لما يكون عندنا جذورها عدد
+
+198
+00:16:16,650 --> 00:16:22,660
+حقيقية غير بسامية طبعاً نطلع على طول الحل العام
+
+199
+00:16:22,660 --> 00:16:25,880
+يساوى الساقة إذا فرضنا المعارضة تقول ليها ال
+
+200
+00:16:25,880 --> 00:16:29,340
+situation يدوها السقار واحد وقعر اتنين توافق على
+
+201
+00:16:29,340 --> 00:16:32,560
+الحق المجلد الساقر ونقول الحل الأول يساوى E أسقار
+
+202
+00:16:32,560 --> 00:16:34,980
+واحد T و الحل التاني E أسقار اتنين T وجهها ال
+
+203
+00:16:34,980 --> 00:16:37,760
+solution يساوى الساقة في أول يسابق التاني ما
+
+204
+00:16:37,760 --> 00:16:41,990
+درسناش انك مفهوم انه fundamental solution فقعدنا ..
+
+205
+00:16:41,990 --> 00:16:45,970
+كنا نقول عقول ان الحل العام يسوى ثابت في E أصغر
+
+206
+00:16:45,970 --> 00:16:50,950
+واحد T ثابت E أصغر اتنين T الآن على أي أساس أخدنا
+
+207
+00:16:50,950 --> 00:16:54,190
+في الستيشن تلاتة واحد انه E أصغر واحد U E أصغر
+
+208
+00:16:54,190 --> 00:17:00,740
+اتنين T اللي هو بكمولة حسب المثال اللي هو أمامنا
+
+209
+00:17:00,740 --> 00:17:05,140
+انه مادام R1 لا يساوى R2 فهنضمن ان رزقها لا يساوى
+
+210
+00:17:05,140 --> 00:17:09,880
+صفر وهذا هو التوضيح نحسب رزقها لا يسار 1D و لا
+
+211
+00:17:09,880 --> 00:17:12,320
+يسار 2D اشتغل
+
+212
+00:17:15,700 --> 00:17:28,560
+عند اسعار واحد يوجد اسعار اثنين يوجد اسعار
+
+213
+00:17:28,560 --> 00:17:29,020
+اثنين ي
+
+214
+00:17:40,910 --> 00:17:48,430
+R2 بيصر 1 زي R2P نقص R1 بيصر 1 زي R2P نقص R1 بيصر
+
+215
+00:17:48,430 --> 00:17:49,430
+1 زي R2P نقص R1 بيصر 1 زي R2P نقص R1 بيصر 1 زي R2P
+
+216
+00:17:49,430 --> 00:17:52,870
+نقص R1 بيصر 1 زي R2P نقص R1 بيصر 1 زي R2P نقص R1
+
+217
+00:17:52,870 --> 00:17:56,470
+بيصر 1 زي R2P نقص R1 بيصر 1 زي R2P نقص R1 بيصر 1
+
+218
+00:17:56,470 --> 00:18:00,170
+زي R2P نقص R1 بيصر 1 زي R2P نقص R1 بيصر 1 زي R2P
+
+219
+00:18:00,170 --> 00:18:05,770
+نقص R1 بيصر 1 زي R2P نقص R1 بيصر 1 زي R2P نقص R1
+
+220
+00:18:05,770 --> 00:18:10,030
+بيصر 1 زي R2P نقو لأن هما حلول مختارين هيتحققوا مش
+
+221
+00:18:10,030 --> 00:18:16,150
+شبتين فبالتالي هيكونوا solutions هذا الحل درس نفسي
+
+222
+00:18:16,150 --> 00:18:20,430
+في ثلاثة واحدة ثم عليك تبقى حلتين اللي يكون اه لو
+
+223
+00:18:20,430 --> 00:18:24,910
+وجدوه characterization متساوية يعني مميز بمعادل
+
+224
+00:18:24,910 --> 00:18:29,730
+set up او عدد خيالية حتي نوصل ان شاء الله تستحق
+
+225
+00:18:29,730 --> 00:18:30,490
+الشهر القادم
+
+226
+00:18:33,210 --> 00:18:38,870
+هنا مثال ماعطينا دلتين y واحد سوتيه نص و y اتنين
+
+227
+00:18:38,870 --> 00:18:43,070
+سوتيه ثالث واحد فارم او fundamental set of
+
+228
+00:18:43,070 --> 00:18:45,890
+solutions طالب النسبة اللي هاجبه هو ال fundamental
+
+229
+00:18:45,890 --> 00:18:49,030
+set of solutions المعادلة اللي هي كنا احنا عايزا
+
+230
+00:18:49,030 --> 00:18:53,090
+ان الشروط اتنين متأكد اول حاجة ان هذول دول حلول
+
+231
+00:18:53,090 --> 00:18:57,970
+الشرط التاني ان نحسب الرسالة الاساسية اذا الشرطين
+
+232
+00:18:57,970 --> 00:19:00,570
+حقهم اقدر اقول عنهم fundamental solution بمعنى ان
+
+233
+00:19:00,570 --> 00:19:04,740
+اي حل لازمهو يمكنني تركيبه كده كمية تابع في الأول
+
+234
+00:19:04,740 --> 00:19:10,000
+و تابع في الثاني اول مستقل اولى اي مستقل تانى عوضه
+
+235
+00:19:10,000 --> 00:19:12,140
+في المعادلة التفضلية بتاع السكين اذا انها بحق
+
+236
+00:19:12,140 --> 00:19:18,340
+المعادلة هي اولة ناخد الحل التانى اي y2 مستقل اولى
+
+237
+00:19:18,340 --> 00:19:20,240
+مستقل تانى عوضه في المعادلة التفضلية بتاع السكين
+
+238
+00:19:20,240 --> 00:19:25,300
+اذا ان الناس تنتج ان y2 are two solutions هذا لا
+
+239
+00:19:25,300 --> 00:19:26,280
+يكفي ان اقول عنه طبعا
+
+240
+00:19:29,300 --> 00:19:33,200
+الشرطة تانية بالنسبة للناس كانت نسبة نسبة نسبة
+
+241
+00:19:33,200 --> 00:19:41,500
+نسبة نسبة
+
+242
+00:19:44,720 --> 00:19:50,640
+بنقول الـ y1 y2 y3 y4 y5 y6 y7 y8 y9 y10 y11 y12
+
+243
+00:19:50,640 --> 00:19:56,780
+y13 y12 y14 y15 y16 y17 y18 y19 y20 y21 y22 y22
+
+244
+00:19:56,780 --> 00:19:56,900
+y21 y21 y21 y21 y21 y21 y21 y21 y21 y21 y21 y21
+
+245
+00:19:56,900 --> 00:19:57,980
+y21 y21 y21 y21 y21 y21 y21 y21 y21 y21 y21 y21
+
+246
+00:19:57,980 --> 00:19:59,460
+y21 y21 y21 y21 y21 y21 y21 y21 y21 y21 y21 y21
+
+247
+00:19:59,460 --> 00:20:00,540
+y21 y21 y21 y21 y21 y21 y21 y21 y21 y21 y21 y21
+
+248
+00:20:00,540 --> 00:20:03,440
+y21 y
+
+249
+00:20:07,420 --> 00:20:11,120
+هل بعض الأسئلة المتنوعة على ال section انا example
+
+250
+00:20:11,120 --> 00:20:14,220
+أربع من الـ find loneliness in heaven in which the
+
+251
+00:20:14,220 --> 00:20:17,720
+initial value of problem هي X نقص اثنين و Y تبتعد
+
+252
+00:20:17,720 --> 00:20:20,760
+لإن Y تبتعد لإن X نقص اثنين و Y تبتعد لإن X و Y
+
+253
+00:20:20,760 --> 00:20:22,380
+تبتعد لإن Y تبتعد لإن Y تبتعد لإن Y تبتعد لإن Y
+
+254
+00:20:22,380 --> 00:20:23,860
+تبتعد لإن Y تبتعد لإن Y تبتعد لإن Y تبتعد لإن Y
+
+255
+00:20:23,860 --> 00:20:26,100
+تبتعد لإن Y تبتعد لإن Y تبتعد لإن Y تبتعد لإن Y
+
+256
+00:20:26,100 --> 00:20:26,780
+تبتعد لإن Y تبتعد لإن Y تبتعد لإن Y تبتعد لإن Y
+
+257
+00:20:26,780 --> 00:20:35,560
+تبتعد لإن Y
+
+258
+00:20:35,560 --> 00:20:39,660
+تبتعد لإمتصلة وتحتوي الـ initial point اللي هي في
+
+259
+00:20:39,660 --> 00:20:43,080
+حالتنا الـ initial point انتجر فيه اللي هي التلقاء
+
+260
+00:20:43,080 --> 00:20:48,780
+ناخد
+
+261
+00:20:48,780 --> 00:20:54,600
+P of X هو معامل Y' على معامل Y'' و 1 إصلاح 2 is
+
+262
+00:20:54,600 --> 00:21:00,040
+continuous على فترة من الساعة الماضية لإتحاد 2 لما
+
+263
+00:21:00,040 --> 00:21:03,140
+لنهيه لأن المشكلة عند سفق الأسواق المقامة لـ2
+
+264
+00:21:19,000 --> 00:21:26,260
+هذا هو اقتصاد الـ
+
+265
+00:21:26,260 --> 00:21:33,340
+x الـ x معروف أنها أسفر عن باعة 2 ثالث باعة 2 ثلاثة
+
+266
+00:21:33,340 --> 00:21:39,260
+باعة 2 ثلاثة باعة 2 إلى آخرت فهي متصلة على R معدد
+
+267
+00:21:39,260 --> 00:21:42,760
+نقاط واحد عدد لنهائية يعني أنا عندها فترات لنهائية
+
+268
+00:21:42,760 --> 00:21:49,180
+g of x تساوى سفر فهي متصلة على فترة عدد كل R باخد
+
+269
+00:21:49,180 --> 00:21:52,720
+كده تبريد و Q دي متصلات باخد تقاط و 4 نهائية
+
+270
+00:21:52,720 --> 00:21:57,820
+متصلات على R معدد كل النقاط هذه متصلة لنهائية
+
+271
+00:21:59,690 --> 00:22:02,210
+الأعلى الفترة اللى بحتاجها هي لازم تحتوي ال
+
+272
+00:22:02,210 --> 00:22:06,250
+initial point ان احنا التلاتة فلأنه التلاتة يقع في
+
+273
+00:22:06,250 --> 00:22:10,710
+الفترة من 2 ل 3 فقعة 2 فعند عدد لما نعمل الفترات
+
+274
+00:22:10,710 --> 00:22:13,350
+الفترة اللى تحتوي التلاتة هي هذه الفترة معروف ان
+
+275
+00:22:13,350 --> 00:22:17,590
+انا عند الفقعة 2 و 1 و 17 هي بدء من ضرورة تلاتة و
+
+276
+00:22:17,590 --> 00:22:21,670
+بالخمسة فتقعدت تلتين ثلاثة تقعدتين و تلتين و تلتين
+
+277
+00:22:21,670 --> 00:22:24,130
+و تلتين و تلتين و تلتين و تلتين و تلتين و تلتين و
+
+278
+00:22:24,130 --> 00:22:25,290
+تلتين
+
+279
+00:22:32,360 --> 00:22:38,200
+نأخذ مثال وانا ماعرف الهروس كالة الـ two functions
+
+280
+00:22:38,200 --> 00:22:42,100
+في واحد الدول المعروفة تانية مشغولة فكيف نجيب 
+
+281
+00:22:42,100 --> 00:22:48,080
+ثانية فهنا السؤال الـ convolution of f and g is t²ust
+
+282
+00:22:48,080 --> 00:22:54,940
+and f of t تساوى t يعني أنا عندي الـ convolution معروفة
+
+283
+00:22:54,940 --> 00:22:58,720
+ثانية وواحدة فيهم معروفة فبنجيب الدالة المشغولة
+
+284
+00:23:00,460 --> 00:23:04,180
+عندنا الـ convolution لأفضل T وD of T هو ساوي نعود لأفضل
+
+285
+00:23:04,180 --> 00:23:09,220
+T بقيمة T مستقلة 1 جوه T وD برعيم هذا المجهولة
+
+286
+00:23:09,220 --> 00:23:13,640
+نحسبه T بجيه برعيم نقاط D وD ثم T ترجع في أس تيه
+
+287
+00:23:13,640 --> 00:23:18,260
+هذا هو الـ convolution لأفضل T وD of T حسب ما هو مُعطَى
+
+288
+00:23:18,260 --> 00:23:22,240
+السؤال حسب T ترجع في أس تيه فبالتالي نأخذ الجزء
+
+289
+00:23:22,240 --> 00:23:27,940
+ونجسمه على Z نحصل على معادلة قابلية الخطوية من درجة
+
+290
+00:23:27,940 --> 00:23:33,300
+الأولى هذه المدرسة تشتتر في الفصل السادس أو الفصل
+
+291
+00:23:33,300 --> 00:23:39,140
+الـ 2 نجد هذه المدرسة تستخدم طريقة الـ Integrating
+
+292
+00:23:39,140 --> 00:23:43,280
+Factor الـ U of T بسوء الـ exponential التكامل
+
+293
+00:23:43,280 --> 00:23:47,800
+المعامل في U of T هو السالب واحد لديه فبعد كلها لا
+
+294
+00:23:47,800 --> 00:23:52,740
+تنسوا أنه إشارته سالبة أنه دراستها هيضايق كل
+
+295
+00:23:52,740 --> 00:23:58,930
+أسباب معاهفتكامل سالب واحد على T بديل سالب
+
+296
+00:23:58,930 --> 00:24:08,430
+سالب
+
+297
+00:24:08,430 --> 00:24:15,840
+سالب سالب نضربها تي أو ستي اللي هي منها فبصير
+
+298
+00:24:15,840 --> 00:24:19,260
+اتجاه مطلع ليه أو ستي دا سي اللي هو إذا الحل
+
+299
+00:24:19,260 --> 00:24:23,280
+للمعادلة التفاضلية اللي هي أمامنا جيوب تي تساوح على
+
+300
+00:24:23,280 --> 00:24:26,520
+انيق تي في أو ستي دا ساية فتطلع تي في أو ستي دا
+
+301
+00:24:26,520 --> 00:24:33,180
+ساية طبعا هذا هي فكرة جديدة فإنه أنا عند ذلك كان
+
+302
+00:24:33,180 --> 00:24:35,900
+أحدهم المعروفات كانوا مجهولين لكن الناس كانت كيف
+
+303
+00:24:35,900 --> 00:24:39,780
+وجدناهم عن طريق إيجاد رونس كارت هو اتنقل لمعرفة
+
+304
+00:24:39,780 --> 00:24:44,600
+خصائص المدرسة الأولى و اتنقل لمعرفة خصائص المدرسة
+
+305
+00:24:44,600 --> 00:24:45,320
+الأولى و اتنقل لمعرفة خصائص المدرسة الأولى و
+
+306
+00:24:45,320 --> 00:24:46,200
+اتنقل لمعرفة خصائص المدرسة الأولى و اتنقل لمعرفة
+
+307
+00:24:46,200 --> 00:24:49,760
+خصائص المدرسة الأولى و
+
+308
+00:24:49,760 --> 00:24:52,660
+اتنقل لمعرفة خصائص المدرسة الأولى و اتنقل لمعرفة
+
+309
+00:24:52,660 --> 00:24:57,820
+خصائص المدرسة الأولى و اتنقل لمعرفة خصائص المدرسة
+
+310
+00:24:57,820 --> 00:25:02,480
+الأولى و اتنقل لمعرفة
+
+311
+00:25:02,480 --> 00:25:02,960
+خصائص الم 
diff --git a/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/8VApu6gf_fg.srt b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/8VApu6gf_fg.srt
new file mode 100644
index 0000000000000000000000000000000000000000..ff227f84fbeed08cf409df892eb1f83fb0db1aca
--- /dev/null
+++ b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/8VApu6gf_fg.srt
@@ -0,0 +1,2088 @@
+1
+00:00:03,040 --> 00:00:05,600
+بسم الله الرحمن الرحيم أعزائي الطلاب السلام عليكم
+
+2
+00:00:05,600 --> 00:00:08,720
+ورحمة الله وبركاته في فيديو جديد لمتابعة مناقشة 
+
+3
+00:00:08,720 --> 00:00:15,720
+chapter 4 في الفيديو السابق راجعنا section 4142
+
+4
+00:00:15,720 --> 00:00:20,480
+حلينا على المسألة عليهم اليوم نستمر في مناقشة الجزء
+
+5
+00:00:20,480 --> 00:00:27,840
+الثاني سندرس سنناقش section 443 و 444 section 443 
+
+6
+00:00:27,840 --> 00:00:31,540
+عنوانه the method of undetermined coefficients
+
+7
+00:00:32,330 --> 00:00:38,210
+هذه دراسة نفسها في section 3-6 ولكن الاختلاف هو أن 
+
+8
+00:00:38,210 --> 00:00:41,170
+درجة المعادلة التفاضلية في 3-6 كانت من الدرجة الثانية 
+
+9
+00:00:41,170 --> 00:00:44,810
+وهنا ستكون درجة أعلى من الدرجة الثالثة و أعلى
+
+10
+00:00:44,810 --> 00:00:48,510
+لكن المعادلات هي نفسها وبالتالي سيكون هذا الـ section
+
+11
+00:00:48,510 --> 00:00:54,870
+هو مراجعة لـ chapter 3 خاصة section 3-6 فيه كذلك زي
+
+12
+00:00:54,870 --> 00:00:57,910
+ما احنا عارفين طريقة الـ undefined coefficients هنحتاج نحل
+
+13
+00:00:57,910 --> 00:01:02,070
+الـ homogeneous في البداية فهتكون مراجعة برضه لـ
+
+14
+00:01:02,070 --> 00:01:07,010
+section 4.2 فهتكون عدد النزال احنا حلنا في المحاضرة
+
+15
+00:01:07,010 --> 00:01:10,450
+الماضية على 4.2 عدد النزال وهنا هتكون عدد النزال 
+
+16
+00:01:10,450 --> 00:01:13,730
+أربع عند حل الـ homogeneous احنا عارفين أن طريقة الـ
+
+17
+00:01:13,730 --> 00:01:17,370
+undetermined coefficients هذه ما بتحل أي سؤال من الـ
+
+18
+00:01:17,370 --> 00:01:20,350
+homogeneous بتحل في شهور أن لازم تكون المعادلة 
+
+19
+00:01:20,350 --> 00:01:25,290
+تفاضلية عند الـ coefficients عندها ثوابت constants
+
+20
+00:01:27,650 --> 00:01:31,230
+تكون طبعاً Linear والـ Non-homogeneous term يكون
+
+21
+00:01:31,230 --> 00:01:35,410
+من أنواع الثلاث إما sin أو cos أو exponential أو
+
+22
+00:01:35,410 --> 00:01:39,230
+polynomial أو حصل جمعهم أو حصل ضربهم لكن لو اختلف
+
+23
+00:01:39,230 --> 00:01:42,830
+عن ذلك لن تنفعش بالتالي سناخد طريقة الـ variation 
+
+24
+00:01:42,830 --> 00:01:48,960
+سندرسها في section 4.4 سناخد عدة أمثلة المثال
+
+25
+00:01:48,960 --> 00:01:52,620
+الأول هو find the formula of the particular solution
+
+26
+00:01:52,620 --> 00:01:53,820
+of the differential equation
+
+27
+00:02:00,540 --> 00:02:04,580
+طبعاً كما تعلمون أول خطوة نجيب الـ homogeneous هي نفس 
+
+28
+00:02:04,580 --> 00:02:08,820
+المعادلة التفاضلية لكن الطرف الأيمن بنخلي صفر هذه
+
+29
+00:02:08,820 --> 00:02:11,940
+الـ homogeneous و تلاحظوا أن هذه الشروط متوفرة أنه 
+
+30
+00:02:11,940 --> 00:02:15,180
+عند المعادلة الرابعة Linear والـ coefficients أنه
+
+31
+00:02:15,180 --> 00:02:17,440
+يلاحظوا واحد و اثنين و واحد ثوابت والـ Non
+
+32
+00:02:17,440 --> 00:02:20,240
+homogeneous term هو عبارة عن ثلاثة و تسعة T فبتنفع 
+
+33
+00:02:20,240 --> 00:02:23,940
+هذه الطريقة الحل في الـ undetermined coefficients بعد 
+
+34
+00:02:23,940 --> 00:02:26,280
+ما نجيب الـ homogeneous زي ما عملنا في الـ section 4
+
+35
+00:02:26,280 --> 00:02:31,240
+.2 سنحلها و نجيب الجذور الـ characteristic هذه الـ
+
+36
+00:02:31,240 --> 00:02:35,600
+characteristic معادلة من الدرجة الثانية في الـ section السابق فبيطلع
+
+37
+00:02:35,600 --> 00:02:40,880
+عندي جذورها I و سالب I لكل مكررة فبالتالي عندي 
+
+38
+00:02:40,880 --> 00:02:46,140
+أربع جذور الـ characteristic  r1= I   r2= -I   r3= I   r4= -I 
+
+39
+00:02:46,140 --> 00:02:50,260
+فبالتالي هنطلع الحل مش هنسميه general 
+
+40
+00:02:50,260 --> 00:02:53,060
+solution هنسميه complementary solution اللي هو حل 
+
+41
+00:02:53,060 --> 00:02:58,480
+الـ homogeneous yc = c1 e<sup>it</sup> + c2 e<sup>-it</sup> + c3 e<sup>it</sup> 
+
+42
+00:02:58,480 --> 00:03:02,880
++ c4 e<sup>-it</sup> طبعاً هذا كان مثال أخدناه
+
+43
+00:03:02,880 --> 00:03:07,000
+اللي هو في المحاضرة الماضية الرابعة منها زيادة على الوقت 
+
+44
+00:03:07,000 --> 00:03:10,280
+أن نديه formula للـ particular solution
+
+45
+00:03:13,400 --> 00:03:17,000
+الذي يؤثر على شكل الـ Particular Solution  حدث اللي 
+
+46
+00:03:17,000 --> 00:03:19,600
+هو الـ Complementary Solution والـ Non
+
+47
+00:03:19,600 --> 00:03:21,660
+-homogeneous الـ Non-homogeneous كما تشاهدون هو
+
+48
+00:03:21,660 --> 00:03:24,920
+sin T مدام sin T، فالفرض الأساسي سيكون
+
+49
+00:03:24,920 --> 00:03:30,680
+Particular Solution  yp= A cos T + B sin T فهكذا نستفيد من
+
+50
+00:03:30,680 --> 00:03:34,780
+الـ Non-homogeneous لأن sin T فيه سيكون A cos T + B
+
+51
+00:03:34,780 --> 00:03:40,720
+sin T حيث A و B ثوابت هذا هو الخطوة الأولى الخطوة
+
+52
+00:03:40,720 --> 00:03:43,540
+الثانية هي بعد ما فرضنا الشكل اعتماداً على أن الـ
+
+53
+00:03:43,540 --> 00:03:46,660
+cos T هيكون فرضنا الـ أساسي A cos T + B sin T
+
+54
+00:03:46,660 --> 00:03:51,680
+نجي نقارن ثاني أن نقارن مع الـ yc المفروض ما فيش
+
+55
+00:03:51,680 --> 00:03:55,680
+تشابه بين الحلول الـ particular مع الحلول في الـ yc
+
+56
+00:03:55,680 --> 00:03:58,680
+complementary  فأنا عندي هنا cos T هي موجودة هنا
+
+57
+00:03:58,680 --> 00:04:03,840
+ثم نضرب بثابت آخر cos T زي ما بنفعل زي ما هي نضرب زي
+
+58
+00:04:03,840 --> 00:04:08,280
+ما درسنا في 3.6 نضرب في T بنضرب في T 
+
+59
+00:04:08,280 --> 00:04:16,440
+حسينا تي كوزاين T  و T sin T هيعطينا الهام نضرب 
+
+60
+00:04:16,440 --> 00:04:22,000
+في T تربيع فعيد وعظم تربيع
+
+61
+00:04:22,000 --> 00:04:24,080
+A كوزاين T + B كوزاين T 
+
+62
+00:04:29,390 --> 00:04:32,470
+باش تشابه مع أي واحد من هنا والثانية T تربيع في 
+
+63
+00:04:32,470 --> 00:04:36,030
+صينة T فهنا باش تشابه مع أي واحد من هنا فالمش
+
+64
+00:04:36,030 --> 00:04:39,650
+مطلوب أن نوجد قيم الـ constants A و B لأنه طالب من 
+
+65
+00:04:39,650 --> 00:04:42,250
+الـ formula فهيك نتفاضل ونكون بتاعة الحل لكن لو كان 
+
+66
+00:04:42,250 --> 00:04:44,450
+مطلوب مننا أن نوجد الـ particular solution المفروض أن 
+
+67
+00:04:44,450 --> 00:04:47,170
+نعوض في المعادلة بيه في المعادلة تفضلي المشتقة 
+
+68
+00:04:47,170 --> 00:04:49,550
+الرابعة هذا يعني أن نستنتج أربع مرات ونعوض طبعاً 
+
+69
+00:04:49,550 --> 00:04:56,560
+هتكون عملية طويلة تاخد وقت كثير ننتقل إلى مثال سؤال 
+
+70
+00:04:56,560 --> 00:04:59,600
+آخر أو سؤال اثنين فهو general solution هنقلب الـ
+
+71
+00:04:59,600 --> 00:05:04,400
+general solution إذا لازم أجيب الـ yc والـ yp واجيب
+
+72
+00:05:04,400 --> 00:05:08,700
+الـ coefficients نعرف بيه الـ particular equation نفس السابق هنلاحظ المعادلة تقرر اللي هي 
+
+73
+00:05:08,700 --> 00:05:12,300
+تحقق شروط الـ coefficients كلها ثوابت و Linear وهنا 
+
+74
+00:05:12,300 --> 00:05:15,940
+الـ Non homogeneous تبقى Exponential هناخد المعادلة
+
+75
+00:05:15,940 --> 00:05:19,060
+تقرر اللي هي الـ corresponding homogeneous مثلاً
+
+76
+00:05:19,060 --> 00:05:21,260
+بالصفر هذه الـ characteristic equation ده مدرسة في 
+
+77
+00:05:21,260 --> 00:05:24,040
+4.2 الجذور بتاعتها بناخد حواصم الواحد اللي هو واحد
+
+78
+00:05:24,040 --> 00:05:28,340
+و سالب واحد بنعوض فيهم هنعوض في الواحد طبعاً 
+
+79
+00:05:28,340 --> 00:05:32,520
+الواحد جذر هي عرفته جذر سالب واحد جذر في 
+
+80
+00:05:32,520 --> 00:05:36,480
+واحد طبعاً إذا r -1 وعامل بجسم الـ التركيب -3 r 
+
+81
+00:05:36,480 --> 00:05:42,880
+التركيب 3r-1 على r- عامل 
+
+82
+00:05:42,880 --> 00:05:45,600
+وبدينها ده هو نتيجة قسمة طبعاً اتلاقى أن هذا مربع 
+
+83
+00:05:45,600 --> 00:05:50,860
+كامل r-1 لكل تربيع اتلاقى r-1 لكل 
+
+84
+00:05:50,860 --> 00:05:54,460
+تربيع اتلاقى اتلاقى اتلاقى اتلاقى اتلاقى اتلاقى 
+
+85
+00:05:54,460 --> 00:05:55,340
+اتلاقى اتلاقى اتلاقى اتلاقى اتلاقى اتلاقى 
+
+86
+00:05:55,340 --> 00:05:57,860
+اتلاقى اتلاقى اتلاقى اتلاقى اتلاقى اتلاقى 
+
+87
+00:05:57,860 --> 00:05:58,040
+اتلاقى اتلاقى اتلاقى اتلاقى اتلاقى اتلاقى 
+
+88
+00:05:58,040 --> 00:05:58,120
+اتلاقى اتلاقى اتلاقى اتلاقى اتلاقى اتلاقى 
+
+89
+00:05:58,120 --> 00:06:06,120
+اتلاقى اتلاقى اتلاقى اتلاقى اتلاقى اتلاقى 
+
+90
+00:06:06,120 --> 00:06:12,360
+اتلاق
+
+91
+00:06:13,130 --> 00:06:16,250
+بالقسمة المطولة بيطلع نتيجة القسمة وهذا مدرسة 
+
+92
+00:06:16,250 --> 00:06:19,250
+ثانية لإما بالتحليل أو بالقانون العام لكن واضح أن
+
+93
+00:06:19,250 --> 00:06:22,550
+في هذا السؤال هو عبارة عن مربع كامل R-1 لكل تربيع
+
+94
+00:06:22,550 --> 00:06:28,750
+فمضروب R-1 بدينا R-1 لكل تكعيب إذا اتلاقظوا ان عندي
+
+95
+00:06:28,750 --> 00:06:33,410
+جذر واحد مكرر R1 او R2 او R3 او R1 اذا عندي Yc
+
+96
+00:06:33,410 --> 00:06:39,140
+بيساوِ c1 e<sup>t</sup> الثاني هو U of T الثاني هو U of
+
+97
+00:06:39,140 --> 00:06:48,200
+T الثاني هو U of T الثاني هو U of T الثاني هو U 
+
+98
+00:06:48,200 --> 00:06:54,500
+of T الثاني 
+
+99
+00:06:54,500 --> 00:07:02,110
+هو U of T yc هو الـ Complementary Solution وهو الحل 
+
+100
+00:07:02,110 --> 00:07:07,330
+الهوموجيني بيساوِ عبارة عن c1 e<sup>t</sup> ثم c2 e<sup>t</sup>
+
+101
+00:07:07,330 --> 00:07:08,430
+ثم c3 e<sup>t</sup> ثم c4 e<sup>t</sup> ثم c5 e<sup>t</sup> ثم c6
+
+102
+00:07:08,430 --> 00:07:10,230
+c13 e<sup>t</sup> ثم c12 e<sup>t</sup> ثم c13 e<sup>t</sup> ثم c14 
+
+103
+00:07:10,230 --> 00:07:13,490
+e<sup>t</sup> ثم c15 e<sup>t</sup> ثم c16 e<sup>t</sup> ثم c17 e<sup>t</sup>
+
+104
+00:07:13,490 --> 00:07:15,940
+c17 e<sup>t</sup> c17 e<sup>t</sup> c17 e<sup>t</sup> c17 e<sup>t</sup> c17 e<sup>t</sup>  بهو 
+
+105
+00:07:15,940 --> 00:07:18,280
+الـ Complementary Solution وفي الأول الشكل اللي
+
+106
+00:07:18,280 --> 00:07:20,760
+بنفرضه زي الـ Non-homogeneous الـ Non-homogeneous 
+
+107
+00:07:20,760 --> 00:07:25,000
+عندنا هي أربعة e<sup>t</sup> إذا كنا فرضنا ثابت 
+
+108
+00:07:25,000 --> 00:07:30,700
+e<sup>t</sup> فعينة الـ yp أخذنا ثابت e<sup>t</sup> بعد ذلك
+
+109
+00:07:30,700 --> 00:07:34,200
+بنشوف هل في تشابهات بين الفرض هذا والـ yc حلول
+
+110
+00:07:34,200 --> 00:07:38,260
+عندي ثلاثة إذا أخذنا ثابت e<sup>t</sup> سيشبه الأول إذا 
+
+111
+00:07:38,260 --> 00:07:40,900
+ضربناها في T سيشبه الثاني إذا ضربناها في T تربيع
+
+112
+00:07:40,900 --> 00:07:47,300
+سيشبه الثالث فالـ yp هشكله A e<sup>t</sup> + آخر e<sup>t</sup> 
+
+113
+00:07:47,300 --> 00:07:51,240
+وطلع ظهر أنه لا يشبه أي واحد من الحلول في الـ yc
+
+114
+00:07:51,240 --> 00:07:55,420
+طبعاً لو أقعد أقول هل ممكن أظهر في T أربعة فلا أكتر
+
+115
+00:07:55,420 --> 00:07:57,020
+حاجة تكعيب تكعيب تكعيب تكعيب تكعيب تكعيب تكعيب
+
+116
+00:07:57,020 --> 00:07:59,000
+تكعيب تكعيب تكعيب تكعيب تكعيب تكعيب تكعيب تكعيب
+
+117
+00:07:59,000 --> 00:08:00,060
+تكعيب تكعيب تكعيب تكعيب تكعيب تكعيب تكعيب تكعيب
+
+118
+00:08:00,060 --> 00:08:00,280
+تكعيب تكعيب تكعيب تكعيب تكعيب تكعيب تكعيب تكعيب
+
+119
+00:08:00,280 --> 00:08:03,500
+تكعيب تكعيب تكعيب تكعيب تكعيب
+
+120
+00:08:05,960 --> 00:08:08,580
+عشان اللغة السؤال كان طالب الـ General solution
+
+121
+00:08:08,580 --> 00:08:11,280
+مدام طالب الـ General solution إذا لازم أجيب الـ 
+
+122
+00:08:11,280 --> 00:08:15,060
+coefficient A وأنا عملت تعويض صحيح تاخد وقت احنا 
+
+123
+00:08:15,060 --> 00:08:18,340
+معادلة عندنا زي ما تشوفون تفاضل من الدرجة الثالثة
+
+124
+00:08:18,340 --> 00:08:21,660
+فلازم اشتغل yp ثلاث مرات واعوض بعد المعادلة و
+
+125
+00:08:21,660 --> 00:08:27,820
+بكامل المعادلة فيها ثابت A حيث المشتقة الأولى هي 
+
+126
+00:08:27,820 --> 00:08:31,900
+المشتقة الثالثة و ثم معناه وطلب عطلة A بيساوي ثلاثين
+
+127
+00:08:33,000 --> 00:08:38,160
+هو في مجال من الأسئلة نطلب الـ constant في درجة
+
+128
+00:08:38,160 --> 00:08:41,360
+العالية للثالثة أو الرابعة لأن هذا مثال عشان نوضح
+
+129
+00:08:41,360 --> 00:08:45,460
+الفكرة الـ A تساوي ثلاثين إذا الـ yp بيرتبط بـ A
+
+130
+00:08:45,460 --> 00:08:49,120
+وحط في انتقال ثلاثين هتتربط في وسط الـ General 
+
+131
+00:08:49,120 --> 00:08:52,840
+solution المفروض أن نقول أن لو طلب الـ yp برتقالية 
+
+132
+00:08:52,840 --> 00:08:59,670
+انتهينا طلب الـ General solution y بيساوِ yc + yp
+
+133
+00:08:59,670 --> 00:09:04,070
+بيساوِ c1 e<sup>t</sup> + c2 e<sup>t</sup> + c3 e<sup>t</sup> + c4 e<sup>t</sup> + c5
+
+134
+00:09:04,070 --> 00:09:07,050
+e<sup>t</sup> + c6 e<sup>t</sup> + c7 e<sup>t</sup> + c8 e<sup>t</sup> + c9 e<sup>t</sup> + c10
+
+135
+00:09:07,050 --> 00:09:07,670
+e<sup>t</sup> + c11 e<sup>t</sup> + c12 e<sup>t</sup> + c13 e<sup>t</sup> + c14 e<sup>t</sup> 
+
+136
+00:09:07,670 --> 00:09:17,350
++ c15 e<sup>t</sup> + c16 e<sup>t</sup> + c16 e<sup>t</sup> + c17 e<sup>t</sup>
+
+137
+00:09:17,350 --> 00:09:21,870
++ c18 e<sup>t</sup> + c19 e<sup>t</sup> + c21 e<sup>t</sup> + c21 e<sup>t</sup> + c21
+
+138
+00:09:21,870 --> 00:09:27,990
+e<sup>t</sup> + c21 e<sup>t</sup> + c21 e<sup>t</sup> + c21  طبعاً تلاحظوا 
+
+139
+00:09:27,990 --> 00:09:33,850
+السؤال هل عندنا Non homogeneous هو عبارة عن T ثلاثة
+
+140
+00:09:33,850 --> 00:09:36,790
+× e<sup>t</sup> × e<sup>-2t</sup> هو مجموعة ثلاث مشتقات 
+
+141
+00:09:36,790 --> 00:09:38,990
+تحت برنوميل وكزان وكزان وكزان وكزان وكزان وكزان
+
+142
+00:09:38,990 --> 00:09:50,050
+وكزان وكزان وكزان وكزان وكزان وكزان وكزان وكزان
+
+143
+00:09:50,050 --> 00:09:52,030
+وكزان وكزان وكزان وكزان وكزان وكزان وكزان وكزان
+
+144
+00:09:52,030 --> 00:09:56,240
+وكزان ولكن في البداية في الأول لما بنعمل متعودين
+
+145
+00:09:56,240 --> 00:09:59,980
+لأن في الأول ندي بالـ YC فبناخد الـ homogeneous يعني
+
+146
+00:09:59,980 --> 00:10:03,300
+أنا عندي الـ homogeneous واتره براين نقص أربعة واي
+
+147
+00:10:03,300 --> 00:10:06,780
+براين تساوي زيرو الـ characterization R تفيد نقص
+
+148
+00:10:06,780 --> 00:10:10,440
+أربعة عارف تساوي زيرو ناخد R عن المشترك بل لأ R
+
+149
+00:10:10,440 --> 00:10:13,460
+تربية نقص أربعة في الداخل الواصل هدفك في المربعين
+
+150
+00:10:13,460 --> 00:10:16,760
+هي هتحليله وفتبع عندي تلت جدور للـ characterization
+
+151
+00:10:16,760 --> 00:10:20,980
+ر واحد تساوي صفر R تلت اتنين وR تلت تساوي سالب اتنين
+
+152
+00:10:20,980 --> 00:10:24,780
+بالحالة هذه الـ complementary solution هو C
+
+153
+00:10:24,780 --> 00:10:32,440
+بصوّي C1 في E أس الصفر T يعني C1 ثم C2 في E أس سالب 2T ثم C3 في 
+
+154
+00:10:32,440 --> 00:10:35,220
+E أس سالب 2T ثم C3 في E أس سالب 2T ثم C3 في E أس سالب 2T ثم C3 في E أس سالب 2T ثم
+
+155
+00:10:35,220 --> 00:10:35,700
+E أس سالب 2T ثم C3 في E أس سالب 2T ثم C3 في E أس سالب 2T ثم C3 في E أس سالب 2T ثم
+
+156
+00:10:35,700 --> 00:10:40,720
+C3 في E أس سالب 2T ثم C3 في E أس سالب 2T ثم C3 في E أس سالب 2T ثم C3 في E أس سالب 2T ثم C3 في
+
+157
+00:10:40,720 --> 00:10:49,900
+E أس سالب 2T ثم C3 في E أس سالب 2T ثم C3 في E أس سالب 2T ثم C3 في E أس سالب 2T ثم
+
+158
+00:10:52,070 --> 00:10:54,990
+نفس المعرفة التي قمنا بها في السابق مدى ما هذا
+
+159
+00:10:54,990 --> 00:10:57,470
+بالنوم من درجة الأولى سنهنى الصورة العامة بالنوم
+
+160
+00:10:57,470 --> 00:11:01,570
+من درجة الأولى طبعًا هنسب الكوفة chance a1 a2 a3 a4
+
+161
+00:11:01,570 --> 00:11:08,190
+a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 a15 a16
+
+162
+00:11:08,190 --> 00:11:12,310
+a17 a18 a19 a20 a21 
+
+163
+00:11:12,310 --> 00:11:19,140
+قلنا أن المتحكم بالـ y بي فرضه تحكم في الـ
+
+164
+00:11:19,140 --> 00:11:26,440
+y بي تحكم في الـ y بي تحكم في الـ y بي تحكم
+
+165
+00:11:26,440 --> 00:11:29,940
+في الـ y بي تحكم في الـ y بي تحكم في الـ y بي تحكم
+
+166
+00:11:29,940 --> 00:11:30,000
+في الـ y بي تحكم في الـ y بي تحكم في الـ y بي تحكم
+
+167
+00:11:30,000 --> 00:11:31,120
+في الـ y بي تحكم في الـ y بي تحكم في الـ y بي تحكم
+
+168
+00:11:31,120 --> 00:11:32,320
+في الـ y بي تحكم في الـ y بي تحكم في الـ y بي تحكم
+
+169
+00:11:32,320 --> 00:11:35,460
+في الـ y بي تحكم في الـ y بي 
+
+170
+00:11:40,870 --> 00:11:45,550
+يكون أنا أدنين
+
+171
+00:11:45,550 --> 00:11:51,070
+في تي وأنا فيش أدنين في تي إذا أنا أنا أنا أنا أنا
+
+172
+00:11:51,070 --> 00:11:56,550
+أنا
+
+173
+00:11:56,550 --> 00:12:00,530
+أنا أنا أنا أنا أنا أنا أنا فلازم نفرض طبعًا نضرب كل
+
+174
+00:12:00,530 --> 00:12:02,310
+الفرض لأن بعض الناس يقولون أنه يجب أن نضرب هذا
+
+175
+00:12:02,310 --> 00:12:05,710
+الفرض لأ لازم كل الفرض نضربه فضربت هذه الحالة فقط
+
+176
+00:12:05,710 --> 00:12:10,010
+حصل a1t زي a2t يعني حل واحدة داخلة وتين لكن هكذا
+
+177
+00:12:10,010 --> 00:12:15,650
+يكون لدينا حلية T تربيع وT في الحالة الثانية سنأخذ
+
+178
+00:12:15,650 --> 00:12:18,910
+نفس الطرف الشمال زي ما أنتو شايفين فوق هذه
+
+179
+00:12:18,910 --> 00:12:21,750
+المعادلة فسنأخذ الطرف مع إذا ودت بالبرامج نقص
+
+180
+00:12:21,750 --> 00:12:25,790
+اربعة واي برامج تساوي تلات قصان T فبصير عند الحالة
+
+181
+00:12:25,790 --> 00:12:31,520
+الثانية هيطبعًا في حالة الـ yv2 هيكون a3 بكزن t زي
+
+182
+00:12:31,520 --> 00:12:34,420
+a4 بكزن t نحن نعرف أن في حالة كزان أو صين هتفرق
+
+183
+00:12:34,420 --> 00:12:41,720
+دائمًا تلاحظوا عندما نقوم بالتقارن مع الـ yc اليوم
+
+184
+00:12:41,720 --> 00:12:46,720
+مافيش تشابه بين حد منهم فبالتالي هيظل زي ما هو في
+
+185
+00:12:46,720 --> 00:12:52,660
+الحالة الثالثة اللي اتحدث عنها هو طرف الشمال هناخد
+
+186
+00:12:52,660 --> 00:12:56,520
+طرف الشمال المعادلة الفضلية y'-4y' بيساوي الجزء
+
+187
+00:12:56,520 --> 00:12:59,840
+الثالث إذا كنت تتعرف بالسؤال أنا لدي جزء اي
+
+188
+00:12:59,840 --> 00:13:04,440
+والصالف اتنين T هناخده اي والصالف اتنين T فيقصر أن
+
+189
+00:13:04,440 --> 00:13:07,600
+لغة الـ Y بي تلاتة في الحالة ده سواء A كل مصطلح
+
+190
+00:13:07,600 --> 00:13:11,260
+هسمي A خمسة أنا نقصر احد اربعة اي والصالف اتنين T
+
+191
+00:13:11,260 --> 00:13:14,060
+هذا البرد الأول الاعتماد على الـ non homogeneous
+
+192
+00:13:18,250 --> 00:13:23,110
+هو يجب أن نتأكد أن هناك تشابه ما بين الـ yc والـ
+
+193
+00:13:23,110 --> 00:13:28,250
+yp والـ yp والـ yp والـ yp والـ yp والـ yp والـ
+
+194
+00:13:28,250 --> 00:13:34,570
+yp والـ yp والـ 
+
+195
+00:13:34,570 --> 00:13:41,070
+yp إذا احنا ضربنا في T عشان التشابه بين البرد
+
+196
+00:13:41,070 --> 00:13:45,130
+الـ E-2T مع الحلول الـ complementary solution
+
+197
+00:13:45,130 --> 00:13:50,430
+وبالتالي الـYP هيكون مجموعة تلاتة YP1-YP2-YP3
+
+198
+00:13:55,580 --> 00:14:00,740
+بنتنقل الآن إلى مثال جديد وسؤال أربعة طالب مني
+
+199
+00:14:00,740 --> 00:14:04,460
+يقول without finding a constants find a formula
+
+200
+00:14:04,460 --> 00:14:07,160
+for the particular solution of the non homogenous
+
+201
+00:14:07,160 --> 00:14:12,260
+pressure equation  و معيني الـ YC كده يبدو ومديني
+
+202
+00:14:12,260 --> 00:14:15,140
+الـ non homogenous هنا ومديني هنا فرعيني والقرع
+
+203
+00:14:15,140 --> 00:14:18,860
+الأول والثاني كما نعرف أن بالنسبة لجلب الـ particle
+
+204
+00:14:18,860 --> 00:14:21,720
+solution والـ formula اللي هو بهمني أن اعرف الـ
+
+205
+00:14:21,720 --> 00:14:23,720
+differential equation بهمني اعرف حاجة ثانية اللي
+
+206
+00:14:23,720 --> 00:14:26,860
+هو الـ complementary solution yc وبهمني اعرف اللي
+
+207
+00:14:26,860 --> 00:14:31,760
+هو non-homogeneous g of t عملنا أنهم جيناس مفرض
+
+208
+00:14:31,760 --> 00:14:36,200
+الشكل وبعد هيك بشوف إذا في تشابهات أو لأ مع الـ
+
+209
+00:14:36,200 --> 00:14:38,500
+حللو في YC ناخد جزء الأول
+
+210
+00:15:01,040 --> 00:15:07,260
+زي الـبرينامج في الصين ومن نفس الدرجة الـبرنامج
+
+211
+00:15:07,260 --> 00:15:15,440
+هي من درجة الأولى اتنين اربعة اتنين اربعة اتنين
+
+212
+00:15:15,440 --> 00:15:18,660
+اربعة اتنين اربعة اتنين اربعة اتنين اتنين اتنين
+
+213
+00:15:18,660 --> 00:15:19,920
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+214
+00:15:19,920 --> 00:15:21,880
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+215
+00:15:21,880 --> 00:15:21,900
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+216
+00:15:21,900 --> 00:15:26,180
+اتنين اتنين اتنين اتنين اتفهذا YP2 هل يوجد تشابه
+
+217
+00:15:26,180 --> 00:15:34,140
+مع YC؟ واضح أنه لا يوجد تشابه يوجد تشابه
+
+218
+00:15:34,140 --> 00:15:39,560
+مع YC ويوجد تشابه مع YC ويوجد تشابه مع YC ويوجد
+
+219
+00:15:39,560 --> 00:15:43,620
+تشابه مع YC ويوجد تشابه مع YC ويوجد تشابه مع YC
+
+220
+00:15:43,620 --> 00:15:43,680
+ويوجد تشابه مع YC ويوجد تشابه مع YC ويوجد تشابه مع
+
+221
+00:15:43,680 --> 00:15:44,340
+مع YC ويوجد تشابه مع YC ويوجد تشابه مع YC ويوجد
+
+222
+00:15:44,340 --> 00:15:47,620
+تشابه مع YC ويوجد تشابه مع YC ويوجد تشابه مع YC
+
+223
+00:15:47,620 --> 00:15:50,980
+ويوجد
+
+224
+00:15:50,980 --> 00:15:57,460
+تشابه الجزء الثاني يُسمى yb1 ، سنفرضه a1e-t لأن الوضع
+
+225
+00:15:57,460 --> 00:16:03,680
+يُسمى a1e-t لأن الوضع يُسمى a1e-t لأن الوضع يُسمى
+
+226
+00:16:03,680 --> 00:16:11,860
+a1e-t لأن الوضع يُسمى a1e-t لأن الوضع يُسمى a1e-t
+
+227
+00:16:11,860 --> 00:16:11,880
+الوضع يُسمى a1e-t لأن الوضع يُسمى a1e-t لأن الوضع
+
+228
+00:16:11,880 --> 00:16:12,700
+يُسمى a1e-t لأن الوضع يُسمى a1e-t لأن الوضع يُسمى
+
+229
+00:16:12,700 --> 00:16:21,980
+a1e-t لأن الوضع يُسمى a1e-t لأن
+
+230
+00:16:21,980 --> 00:16:25,990
+الـ بولينوميال في cos2t زي ما عزيزي جابله لكن بدل
+
+231
+00:16:25,990 --> 00:16:30,590
+cos2t هنا cos2t هتشوف ايش بيصير معناه لما ناخد
+
+232
+00:16:30,590 --> 00:16:34,690
+بالنوم درجة الأولى في cos2t زي بالنوم الدرجة
+
+233
+00:16:34,690 --> 00:16:38,050
+الأولى في sin2t زي ما فقع منها بالسابق بس اختلاف
+
+234
+00:16:38,050 --> 00:16:43,630
+هنا في t هنا 2t لكن وجود 2t هنا cos2t و sin2t صار
+
+235
+00:16:43,630 --> 00:16:47,810
+يعمل تشابه مع الـ yc تلاحظ هنا في ثابت في cos2t و
+
+236
+00:16:47,810 --> 00:16:54,790
+ثابت في sin2t فبالنسبة هذهت في الـ cos2t فلا توجد
+
+237
+00:16:54,790 --> 00:16:59,990
+تشابه لأن هنا واحد ثابت في الـ cos2t فيه تشابه
+
+238
+00:16:59,990 --> 00:17:04,490
+وهنا فيه تشابه فبالتالي لازم اضرب كل الفرق في T
+
+239
+00:17:04,490 --> 00:17:12,550
+طبعًا ليس أكثر في تلاتة أو خمسة أو تلاتة أو تلاتة
+
+240
+00:17:12,550 --> 00:17:13,410
+أو تلاتة أو تلاتة أو تلاتة أو تلاتة أو تلاتة أو
+
+241
+00:17:13,410 --> 00:17:13,450
+تلاتة أو تلاتة أو تلاتة أو تلاتة أو تلاتة أو تلاتة
+
+242
+00:17:13,450 --> 00:17:14,210
+أو تلاتة أو تلاتة أو تلاتة أو تلاتة أو تلاتة أو
+
+243
+00:17:14,210 --> 00:17:14,590
+تلاتة أو تلاتة أو تلاتة أو تلاتة أو تلاتة أو ت
+
+244
+00:17:19,950 --> 00:17:22,250
+وT في الـ cosine ثانية ثانية ثانية ثانية ثانية
+
+245
+00:17:22,250 --> 00:17:28,970
+ثانية
+
+246
+00:17:28,970 --> 00:17:31,110
+نفس الكلام
+
+247
+00:17:43,260 --> 00:17:49,420
+مش هيشبق أي واحد في الـYC فهكذا ضربنا الـYP1
+
+248
+00:17:49,420 --> 00:17:54,160
+وضربنا الـYP2
+
+249
+00:17:54,160 --> 00:17:57,660
+وضربنا الـYP2 وضربنا الـYP2 وضربنا الـYP2 وضربنا
+
+250
+00:17:57,660 --> 00:17:58,080
+الـYP2 وضربنا الـYP2 وضربنا الـYP2 وضربنا الـYP2
+
+251
+00:17:58,080 --> 00:17:58,180
+الـYP2 وضربنا الـYP2 وضربنا الـYP2 وضربنا الـYP2
+
+252
+00:17:58,180 --> 00:18:02,240
+وضربنا الـYP2 وضربنا الـYP2 وضربنا الـYP2 وضربنا
+
+253
+00:18:02,240 --> 00:18:09,760
+الـYP2 وضربنا الـYP2 وضربنا الـYP2 وضربنا
+
+254
+00:18:09,760 --> 00:18:14,150
+الـYP2 Determine the formula of the particle
+
+255
+00:18:14,150 --> 00:18:17,210
+solution of the differential equation y4divided by
+
+256
+00:18:17,210 --> 00:18:22,610
+y3 prime ثم تلاتة D زي الأربعة P ثارت T لاحظوا هذا
+
+257
+00:18:22,610 --> 00:18:28,430
+المثال زي السابقات لازم بالأول أجيب الـ homogeneous
+
+258
+00:18:28,430 --> 00:18:31,530
+cross product homogeneous هيها نجيب الحل تبع الحل
+
+259
+00:18:31,530 --> 00:18:35,350
+السابق complementary solution فـ R أربعة زي R تكعيب
+
+260
+00:18:35,350 --> 00:18:37,970
+ثم صفرة هي characteristic equation ناخد R تكعيب
+
+261
+00:18:37,970 --> 00:18:38,790
+عامل مشترك
+
+262
+00:18:42,000 --> 00:18:48,080
+الـ R تكعيب بصوّي صفر R1 بصوّي صفر R2 بصوّي صفر R3
+
+263
+00:18:48,080 --> 00:18:52,440
+بصوّي صفر R3 بصوّي صفر R3 بصوّي صفر R4 بصوّي صفر
+
+264
+00:18:52,440 --> 00:18:52,780
+R4 بصوّي صفر R4 بصوّي صفر R4 بصوّي صفر
+
+265
+00:18:52,780 --> 00:18:53,780
+R4 بصوّي صفر R4 بصوّي صفر R4 بصوّي صفر R4
+
+266
+00:18:53,780 --> 00:18:54,460
+بصوّي صفر R4 بصوّي صفر R4 بصوّي صفر R4 بصوّي صفر
+
+267
+00:18:54,460 --> 00:18:58,120
+R4 بصوّي صفر R4 بصوّي صفر R4 بصوّي صفر وفي جدر رابع
+
+268
+00:18:58,120 --> 00:19:02,120
+حقيقي مختلف ساوي واحد complementary solution yc
+
+269
+00:19:02,120 --> 00:19:08,080
+بساوي c واحد زي c2 في t زي c3 في t تربيع زي c4 في t تكعيب أنا
+
+270
+00:19:08,080 --> 00:19:11,480
+عندي من هذا الصفر بديني كله الحل واحد واحد واحد
+
+271
+00:19:11,480 --> 00:19:15,300
+فتلاتة متشابهات لو لمنا الواحد نضغط في ال t بسيارة
+
+272
+00:19:15,300 --> 00:19:15,600
+واحد
+
+273
+00:19:19,110 --> 00:19:24,890
+هذا هو الـ Complementary solution لتحضير الـ
+
+274
+00:19:24,890 --> 00:19:30,770
+Particular ، تلاحظ أن هنا جزءين تلاتة T واربعة P
+
+275
+00:19:30,770 --> 00:19:34,570
+أسالب T ، سنأخذ كل واحد لحاله مع طرف الشمال فعندي
+
+276
+00:19:34,570 --> 00:19:40,630
+حالتين الحالة الأولى هي Y4 derivative زي Y3 برنامج
+
+277
+00:19:40,630 --> 00:19:43,650
+ثانوية تلاتة T وهنا الدرجة الأولى هيفرضها بأنها
+
+278
+00:19:43,650 --> 00:19:49,550
+درجة الأولى بعد ذلك نقوم بإنشاء طبعًا أنا في T و
+
+279
+00:19:49,550 --> 00:19:53,030
+أنا a واحد و أنا a اتنين في واحد و أنا a اتنين في
+
+280
+00:19:53,030 --> 00:19:55,330
+واحد و أنا a اتنين في واحد و أنا a اتنين في واحد و أنا 
+
+281
+00:19:55,330 --> 00:19:56,470
+اتنين في واحد و أنا اتنين في واحد و أنا اتنين في
+
+282
+00:19:56,470 --> 00:19:59,210
+واحد و أنا اتنين في واحد و أنا اتنين في واحد و أنا
+
+283
+00:19:59,210 --> 00:20:01,790
+اتنين في واحد و أنا اتنين في واحد و أنا اتنين في
+
+284
+00:20:01,790 --> 00:20:03,910
+واحد و أنا اتنين في واحد و أنا اتنين في واحد و أنا
+
+285
+00:20:03,910 --> 00:20:06,210
+اتنين في واحد و أنا اتنين في واحد و أنا اتنين في
+
+286
+00:20:06,210 --> 00:20:13,570
+واحد و أنا اتنين في واحد و أنا اتنين في واحد و أنا
+
+287
+00:20:13,570 --> 00:20:20,140
+نتأكد أن في T تكعيب تشابه
+
+288
+00:20:20,140 --> 00:20:25,820
+مع أي واحد في T تكعيب وما يشبه أي واحد هذا السبب
+
+289
+00:20:25,820 --> 00:20:27,880
+أن التشابه مش موجود عندنا
+
+290
+00:20:37,440 --> 00:20:41,280
+وصلنا لازم نضرب الـ y بـ 1 فرض الأساسي تبعه
+
+291
+00:20:41,280 --> 00:20:44,220
+معتمد على أنه هو الـDominant ده في الأولى نضرب في T
+
+292
+00:20:44,220 --> 00:20:47,840
+تكعيب هي كالحالتين اللي عند بنت جهنم تي وصة 4
+
+293
+00:20:47,840 --> 00:20:51,380
+وT تكعيب مش أي واحد تاعها نشتغل جزء تاني ناخد 
+
+294
+00:20:51,380 --> 00:20:56,320
+E والسالب T الفرض الأساسي تبعها 3 في E و ستي
+
+295
+00:20:56,320 --> 00:21:00,680
+الفرض الأساسي تبعها E 3 في E والسالب T طبعًا
+
+296
+00:21:00,680 --> 00:21:04,060
+هنشوف هل هناك تشابه أو لا نروح نضرب في T
+
+297
+00:21:10,330 --> 00:21:20,930
+YP1YP2 يتشابه كفكرتها لكن كحسابات ننتقل 
+
+298
+00:21:20,930 --> 00:21:28,760
+الآن إلى مثال سادس وآخر في هذا الموضوع Determine
+
+299
+00:21:28,760 --> 00:21:30,560
+the formula of the partial solution of the
+
+300
+00:21:30,560 --> 00:21:32,880
+differential equation y triple prime نقص 5 y
+
+301
+00:21:32,880 --> 00:21:35,320
+double prime نقص 2 y prime زائد 14 y
+
+302
+00:21:35,320 --> 00:21:38,560
+بساوي u سالب 2 x زائد x في u 3 x بقصارى
+
+303
+00:21:38,560 --> 00:21:42,700
+2 x طبعًا نفس الأشياء هنجيب الـ homogeneous هيها
+
+304
+00:21:42,700 --> 00:21:47,500
+الـ characteristic equation نقص 5 r تربيع نقص
+
+305
+00:21:47,500 --> 00:21:49,720
+2 r زائد 14 يساوي zero طبعًا نطلع 
+
+306
+00:21:49,720 --> 00:21:55,130
+للدرجة الثالثة طبعًا مش قادر أحلها فنـشوف قواسم الـ
+
+307
+00:21:55,130 --> 00:21:58,810
+24 قواسم الـ 24 هيها زائد الأناقص 1 زائد الأناقص
+
+308
+00:21:58,810 --> 00:22:02,570
+2 إلى آخره بنجي نعوض فيها عشان نطلع على جالية
+
+309
+00:22:02,570 --> 00:22:06,410
+جدر أنا هأمل لو اخترت أطلع جدر 1 ودرجة ثالثة 
+
+310
+00:22:06,410 --> 00:22:10,190
+بجسمها عن معامل اللي بيطلع من الجدر فبيصير من الدرجة
+
+311
+00:22:10,190 --> 00:22:13,830
+الثانية وما أقدر أحلها أو بعمل أصفار من القوانين
+
+312
+00:22:13,830 --> 00:22:21,430
+العامة فهنا نبدأ نعوض في الـ 1 عوضنا بالسالب 1
+
+313
+00:22:21,430 --> 00:22:29,350
+و 2 برضه لا يساوي صفر سالب بـ 2 بدينا صفر 
+
+314
+00:22:29,350 --> 00:22:36,330
+عوضنا بالسالب 1 و 2
+
+315
+00:22:36,330 --> 00:22:42,090
+بدينا صفريكمل في الـ 3 وسالب 3 إلى آخرها
+
+316
+00:22:42,090 --> 00:22:46,090
+متصل لـ 8 جذور أو أنت بدأ من درجة الـ 3 لهذا 
+
+317
+00:22:46,090 --> 00:22:48,950
+البرنامج وأنا عارف الجدر هو R يساوي سالب 2 هذه
+
+318
+00:22:48,950 --> 00:22:51,750
+معناه أن R ناقص ناقص 2 يعني R زائد 2 هو
+
+319
+00:22:51,750 --> 00:22:57,970
+عامل العوامل هذه البرنامج فأنقسمها على قسم متوله 
+
+320
+00:22:57,970 --> 00:23:01,430
+أنقسمها على هذا القسم متوله ويظهر ناتج القسمة هو R 
+
+321
+00:23:01,430 --> 00:23:04,290
+تربيع ناقص 7 R زائد 2 وهذه المقدار ممكن
+
+322
+00:23:04,290 --> 00:23:09,400
+استخدام التحليل أو القانون العام هذه بقية القانون
+
+323
+00:23:09,400 --> 00:23:13,360
+العام وكان ممكن أعمل بالتحليل عشان نعود للقانون
+
+324
+00:23:13,360 --> 00:23:18,620
+العام القانون العام بيظهر عند R2 وR3 هم عبارة عن 4
+
+325
+00:23:18,620 --> 00:23:22,980
+و 3 طبعًا كان ممكن أعمل بالتحليل السؤال هذا هو
+
+326
+00:23:22,980 --> 00:23:25,960
+التحليل فعندي 3 جذور 3 هذا الـ characteristic 
+
+327
+00:23:25,960 --> 00:23:29,440
+which is R1 يساوي سالب 2 هذا اللي وجدناه بالتعويض وR2
+
+328
+00:23:29,440 --> 00:23:34,230
+وR3 هم 4 و 3 جبناهم بالقانون العام أو ممكن تحليل 
+
+329
+00:23:34,230 --> 00:23:38,310
+الـ yc equivalent solution يكون C1E 4 X منها 
+
+330
+00:23:38,310 --> 00:23:44,930
+C2E 4 X منها C3E 4 X منها C3E 4 X منها
+
+331
+00:23:44,930 --> 00:23:46,710
+C3E 4 X منها C3E 4 X منها C3E 4 X منها
+
+332
+00:23:46,710 --> 00:23:46,770
+C3E 4 X منها C3E 4 X منها C3E 4 X منها
+
+333
+00:23:46,770 --> 00:23:46,850
+C3E 4 X منها C3E 4 X منها C3E 4 X منها
+
+334
+00:23:46,850 --> 00:23:52,450
+C3E 4 X منها C3E 4 X منها C3E 4 X منها
+
+335
+00:23:52,450 --> 00:23:56,710
+C3E 4 X منها C
+
+336
+00:23:59,120 --> 00:24:02,860
+أيه نأخذه مع u سالب من x فالفرض العام يكون P1 يساوي
+
+337
+00:24:02,860 --> 00:24:09,140
+A1 في u سالب 2x هل في تشابه فتعهد؟ ليس بهذا الحل 
+
+338
+00:24:09,140 --> 00:24:13,520
+أولًا عشان أنا ضغبنا في x نأخذ الحالة الثانية اللي 
+
+339
+00:24:13,520 --> 00:24:16,920
+هو نفس الطرف الشمال مع الطرف اليمين اللي هو الثاني
+
+340
+00:24:16,920 --> 00:24:22,980
+X في u 3 اكس و 2 اكس نأخذها مع في الحالة
+
+341
+00:24:22,980 --> 00:24:26,240
+الثانية طبعًا تلاحظ أن polynomial في exponential في
+
+342
+00:24:26,240 --> 00:24:30,040
+الـ cosine فالفرض تبعه زي ما درسنا في 3 6
+
+343
+00:24:30,040 --> 00:24:33,120
+هيكون polynomial بنفس الدرجة في الـ exponential في
+
+344
+00:24:33,120 --> 00:24:35,900
+الـ cosine زي الـ polynomial بنفس الدرجة لكن بغير الـ
+
+345
+00:24:35,900 --> 00:24:38,520
+coefficient في الـ exponential بدل الـ cosine هنحط
+
+346
+00:24:38,520 --> 00:24:44,040
+sign هذا الفرض تبعه تلاحظوا نفس الأشياءنقلهم درجة
+
+347
+00:24:44,040 --> 00:24:45,840
+الأولى ونقلهم درجة الأخرى بس غيرنا الـ coefficient
+
+348
+00:24:45,840 --> 00:24:49,100
+a2 2 أو a3 2 4 أو a 5 والـ 
+
+349
+00:24:49,100 --> 00:24:51,320
+exponential هو هو بيقل الـ cosine هان هان الـ
+
+350
+00:24:51,320 --> 00:24:55,500
+exponential sine هذا الفرض تبعه الأساسي هل بيتشابه
+
+351
+00:24:55,500 --> 00:25:00,480
+مع الـ yc هاي الـ yc تلاحظوا أنه ما فيش تشابه فبيقله
+
+352
+00:25:00,480 --> 00:25:03,880
+زي ما هو yb بيقل yb1 زي yb2
+
+353
+00:25:11,140 --> 00:25:14,940
+ننتقل الآن إلى section 4.4 هو طريقة method of
+
+354
+00:25:14,940 --> 00:25:19,060
+variation of parameters وهذه الطريقة بتحل كل جميع
+
+355
+00:25:19,060 --> 00:25:27,880
+الأسئلة بالنسبة لـ second 
+
+356
+00:25:27,880 --> 00:25:31,160
+and nine coefficients ما بتحلش إلا الأسئلة معينة 
+
+357
+00:25:31,160 --> 00:25:35,400
+اللي هي بتكون عندك الـ coefficients فيها ثوابت طبعًا
+
+358
+00:25:35,400 --> 00:25:39,160
+الـ Linear والـ Non-homogeneous يعني يكون
+
+359
+00:25:39,160 --> 00:25:42,700
+Exponential أو Sine أو Cosine أو Polynomial أو حصر
+
+360
+00:25:42,700 --> 00:25:45,280
+زي ما نحن محصل برنامجهم لكن لو كانت واحدة مختلفة
+
+361
+00:25:45,280 --> 00:25:49,140
+مثل هذا السؤال هنتهى ما بنفعل حله صحيح الـ
+
+362
+00:25:49,140 --> 00:25:50,980
+coefficient سوابطه Linear لكن هان الـ Non
+
+363
+00:25:50,980 --> 00:25:53,900
+-homogeneous تعمل ما بنفعل حله بطريقة الـ
+
+364
+00:25:53,900 --> 00:25:57,140
+Undermined coefficient لازم نستخدم طريقة الـ
+
+365
+00:25:57,140 --> 00:26:00,760
+variation هدرسناها في الـ 3 7 هنها دقيقة عام
+
+366
+00:26:00,760 --> 00:26:06,730
+درجة أعلى الفكرة هي نفس الأشياء أول حاجة أنا بطلع 
+
+367
+00:26:06,730 --> 00:26:11,430
+اللي هو حل الـ homogeneous هاي الـ characteristics
+
+368
+00:26:11,430 --> 00:26:15,720
+بتاعتها بناخد R عن المشترك وده الـ R ذو أثر بيزا
+
+369
+00:26:15,720 --> 00:26:19,980
+الواحد الجوز إلى ما R بسوء سفر وهذا التحليل من سوء
+
+370
+00:26:19,980 --> 00:26:23,540
+سفر يدّيني Complex I وسالب I إذا ندورها تلعب ده
+
+371
+00:26:23,540 --> 00:26:26,860
+واحد ريال وبت صفر و 2 Complex conjugate I و
+
+372
+00:26:26,860 --> 00:26:30,120
+سالب I فالYC بيساوي الـ C 1 T و صفر T يعني في 
+
+373
+00:26:30,120 --> 00:26:33,860
+واحد زي C2 في كوزان T زي C3 في كوزان T هذا يجي من الـ 
+
+374
+00:26:33,860 --> 00:26:40,840
+complex هذا YC عشان نحل بالـ variation بنصحكم
+
+375
+00:26:40,840 --> 00:26:45,680
+بالتالي أول حلول أنا عندي 3 حلول الـ 1 وcos t
+
+376
+00:26:45,680 --> 00:26:50,880
+و sin t هذه الحلول الـ 1 وy1 يساوي 1 وy2 cos t
+
+377
+00:26:50,880 --> 00:26:55,560
+وy3 يساوي sin t وبناخد جي أوفتي جي أوفتي هي اللي عندي
+
+378
+00:26:55,560 --> 00:26:58,680
+في السؤال هي جي أوفتي تساوي تان t طبعًا جي أوفتي دايمًا
+
+379
+00:26:58,680 --> 00:27:02,100
+تساوي الـ non homogeneous بس بعد ما أتأكد أن معامل 
+
+380
+00:27:02,100 --> 00:27:04,700
+اللي هو أكبر قوة عنده 1 أو بياخد الـ hal مقسم
+
+381
+00:27:04,700 --> 00:27:08,440
+عليه أنا أنا 1 تان t على 1 تان t نأخذ
+
+382
+00:27:11,090 --> 00:27:14,690
+طبعًا عملية حسابية فيها في أي حاجة محددة أول حاجة 
+
+383
+00:27:14,690 --> 00:27:17,850
+بحسب رونسكاندر الحلول الأساسية الثلاثه هذول هو
+
+384
+00:27:17,850 --> 00:27:21,710
+الواحد كوزان t وثان t هـ ارجع كانت معهم 1 كوزان t
+
+385
+00:27:21,710 --> 00:27:22,130
+ثان t
+
+386
+00:27:25,140 --> 00:27:28,980
+بنحسب المحدد بدل العمود الأول لأن كل وصفة في 
+
+387
+00:27:28,980 --> 00:27:34,900
+الشلع وصفة الأول بآخذ 1 وأبلغ
+
+388
+00:27:34,900 --> 00:27:39,200
+الصف والعمود بدل هذا المحدد بضرب سالب سان t فسالب
+
+389
+00:27:39,200 --> 00:27:44,320
+سان t بديه سان تربيع t ناقص في ناقص زائد كوزان t
+
+390
+00:27:44,320 --> 00:27:49,120
+تربيع تصبح سان تربيع t زائد كوزان تربيع t وهو 1
+
+391
+00:27:49,120 --> 00:27:50,540
+مضروب الـ hen هو 1
+
+392
+00:27:54,220 --> 00:28:01,280
+بعد ذلك ندرّب و1 و1 سنحتاجه لسبب ترجع للمحاضرة
+
+393
+00:28:01,280 --> 00:28:05,160
+النظرية اللي قلنا عنها لـ  Wronskian نأخذ
+
+394
+00:28:05,160 --> 00:28:09,680
+العمود الأول الهاد المحدد المسكين نستبدله بعمود 
+
+395
+00:28:09,680 --> 00:28:13,680
+ثاني كله صفار ونأخذ آخر عنصر و1 بعد ذلك نحسب
+
+396
+00:28:13,680 --> 00:28:15,380
+المحدد والمحدد يطلع بالصورة 
+
+397
+00:28:37,500 --> 00:28:41,400
+W2 هو نفس المحدد الأصلي رغم أن كان هذا
+
+398
+00:28:44,600 --> 00:28:48,320
+Iw2 نفسه الأولاني زي ما هو بس نبدل العمود الثاني
+
+399
+00:28:48,320 --> 00:28:51,900
+أصفار 1 نحسب 1 و 2 في المحدد فهو ممكن نحسبه
+
+400
+00:28:51,900 --> 00:28:55,820
+بطريقة العمود الأول لأن كل أصفار معناه أولاني 1
+
+401
+00:28:55,820 --> 00:28:59,980
+نزل السطر والعمود هيبقى صفر سالب sin t دين الصفر
+
+402
+00:28:59,980 --> 00:29:05,500
+ناقص كوز t بيبقى ناقص كوز t بواقع حد ناقص سالب
+
+403
+00:29:05,500 --> 00:29:05,900
+كوز t
+
+404
+00:29:09,920 --> 00:29:14,060
+W3 هو نفس الـ run scan الأولاني بس هخلي العمود
+
+405
+00:29:14,060 --> 00:29:16,520
+الأول والتاني زي ما هو مهم بس الثالث هأستبدله 
+
+406
+00:29:16,520 --> 00:29:21,020
+فتلاحظوا لو نرجع لأولاني هيه الأول والتاني هتدلع 
+
+407
+00:29:21,020 --> 00:29:23,260
+زي ما هو مهم والثالث هأستبدلهم جيّمة كله ونحط بلو
+
+408
+00:29:23,260 --> 00:29:28,640
+أصفار فالآخر حط 1 نحسب الثالث برضه العمود الأول
+
+409
+00:29:28,640 --> 00:29:31,960
+لإن فعلًا كله أصفار طبعًا كدا ممكن نحسب الثالث عمود الثالث
+
+410
+00:29:31,960 --> 00:29:37,690
+فلو صفرش الـ 1 1 موجود الآخر بناخد 1 ونغسطها
+
+411
+00:29:37,690 --> 00:29:40,370
+بالعمود ونضربها سالب صعب t في 1 سالب صعب t
+
+412
+00:29:40,370 --> 00:29:47,130
+ونضرب 1 بين سالب صعب t يجب أن نحسب Uم وم بـ 1
+
+413
+00:29:47,130 --> 00:29:55,570
+2 3 لأنه درجة الثالثة لدي فـقانونها
+
+414
+00:29:55,570 --> 00:29:58,750
+يسمى تكامل WMTGT
+
+415
+00:30:00,780 --> 00:30:04,840
+نأخذ U1 ثم تكامل W1 بـG of T في الـ Wronskian وكل 
+
+416
+00:30:04,840 --> 00:30:08,400
+واحد من المحسوبات مقتصرة W1 هي طلعت 1 وG of T
+
+417
+00:30:08,400 --> 00:30:10,320
+أحنا عارفينها تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا
+
+418
+00:30:10,320 --> 00:30:12,160
+تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا
+
+419
+00:30:12,160 --> 00:30:17,020
+تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا
+
+420
+00:30:17,020 --> 00:30:18,100
+تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا تقريبًا
+
+
+421
+00:30:18,100 --> 00:30:29,420
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبًا
+
+422
+00:30:30,260 --> 00:30:32,180
+تكامل عبدينك وزعيمتيه
+
+423
+00:30:35,540 --> 00:30:38,580
+آخر واحدة U3، تلاحظوا أننا عملنا مقارنة لكننا
+
+424
+00:30:38,580 --> 00:30:42,640
+نغيّر الـ W1 ونصبح تكامل جديد الـ W3 عسير والباقي 
+
+425
+00:30:42,640 --> 00:30:47,720
+مثلًا هو G of T مجتمع رونسكان W3 سالب سانتي وG of
+
+426
+00:30:47,720 --> 00:30:51,220
+T تانطي وRonskan واحد سنسيب التكامل سالب تكامل
+
+427
+00:30:51,220 --> 00:30:55,400
+سانتر T على كزان T من فكرة الـTab سان على كزان
+
+428
+00:30:55,400 --> 00:30:59,820
+والسانتر هي واحد نقش كزان تاريخي على كزان ومن
+
+429
+00:30:59,820 --> 00:31:05,660
+Calculus A نوزع P وأحد على الكوزان بدين الـ second
+
+430
+00:31:05,660 --> 00:31:10,740
+زائد تانية نقص بنقص زائد كوزان تربيع كوزان بدين
+
+431
+00:31:10,740 --> 00:31:17,900
+الكوزان سالب التكامل second القيم المطلقة التكامل 
+
+432
+00:31:17,900 --> 00:31:21,040
+second  ساويّة لإن التقيم المطلّق على second T زائد
+
+433
+00:31:21,040 --> 00:31:27,500
+تانية T زائد التكامل الكوزان بدين الطريقة اللي
+
+434
+00:31:27,500 --> 00:31:34,460
+بتقولي أن الـ YP يحسب Y1 Y1 Y2 Y2 Y3 Y3 طبعًا أنا
+
+435
+00:31:34,460 --> 00:31:41,140
+متراجع المحاضرة النظرية هذه احنا عرفنا Y1 Y2 Y3 
+
+436
+00:31:41,140 --> 00:31:47,740
+وحسبنا Y1 Y2 Y3 في الأول U1 سلب لن القيمة تخلق Cos
+
+437
+00:31:47,740 --> 00:31:49,700
+T في Y1 Y1
+
+438
+00:31:54,260 --> 00:32:02,440
+هذه Y2 وهذه Y3 نكمل 
+
+439
+00:32:02,440 --> 00:32:09,840
+زاد U2 هذا كله عبارة عن U2 U2 لو نشوفها U2 كوزينة
+
+440
+00:32:09,840 --> 00:32:16,560
+T مضروبة في Y2 الكوزينة فبصير كوزينة تربيع T زاد U3 
+
+441
+00:32:16,560 --> 00:32:20,700
+وهذه U3 قدامنا وهذه كلها مضروبة في Y3 كوزينة T هذا 
+
+442
+00:32:20,700 --> 00:32:26,860
+هو الـ YB عن طريق 
+
+443
+00:32:26,860 --> 00:32:33,520
+هي طويلة لكن عملية تحسينها تكون تقرار نأخد مثلًا 
+
+444
+00:32:33,520 --> 00:32:36,520
+تقرار يُقال الـgeneric solution of the
+
+445
+00:32:36,520 --> 00:32:39,440
+differential equation y''-y''-y''-y''-y''-y''-y''
+
+446
+00:32:39,440 --> 00:32:41,560
+-y''-y''-y''-y''-y''-y''-y''-y''-y''-y''-y''-y''
+
+447
+00:32:41,560 --> 00:32:47,560
+-y''-y''-y''-y''-y''-y''-y''-y''-y''
+
+448
+00:32:47,560 --> 00:32:52,540
+-y''-y''-y''-y''-y''-y''-y''-y''-y''-y''-y''-y''
+
+449
+00:32:52,540 --> 00:32:55,360
+-y''-y''-y''-y''-y''-y''-هذه الأسئلة ممكن أحلها 
+
+450
+00:32:55,360 --> 00:33:00,420
+بالطريقة الـ under the coefficients أحلها بطريقة الـ
+
+451
+00:33:00,420 --> 00:33:04,240
+variation طبعًا
+
+452
+00:33:04,240 --> 00:33:06,860
+هنا ألاحظ السؤال اللي جالك في الامتحان أنت مخيّر
+
+453
+00:33:06,860 --> 00:33:10,600
+بحسب أي طريقة بطريقتين لكن أريح الـ under the 
+
+454
+00:33:10,600 --> 00:33:16,200
+coefficients لأنه أسهل لكن لو السؤال زي السابق 
+
+455
+00:33:16,200 --> 00:33:21,390
+اللي حلينها هو هذا السؤال لو جالك السؤال بطريقة 
+
+456
+00:33:21,390 --> 00:33:33,070
+مختلفة فأنت مخيّر في السؤال أنت
+
+457
+00:33:33,070 --> 00:33:38,970
+مخيّر أنت مخيّر أنت مخيّر أنت مخيّر أنت مخيّر أنت
+
+458
+00:33:38,970 --> 00:33:46,830
+مخيّر أنت مخيّر أنت مخيّر أنت مخيّر أنت مخيّر أنت
+
+459
+00:33:46,830 --> 00:33:47,450
+مخيّر أنت مخيّر أنت مخيّر أنت مخيّر أنت مخيّر أنت
+
+460
+00:33:47,450 --> 00:33:51,900
+مخيّر أنت مخيّر أنت مخيّر ب تحلل الار نقل واحد ارزد
+
+461
+00:33:51,900 --> 00:33:55,820
+واحد، تلاحظ التلت في الوول عند ريال أولاني ار بصوى 
+
+462
+00:33:55,820 --> 00:33:59,600
+صفر ار واحد بصوى صفر ار اتنين اتنين اتنين اتنين
+
+463
+00:33:59,600 --> 00:33:59,880
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+464
+00:33:59,880 --> 00:34:00,240
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+465
+00:34:00,240 --> 00:34:00,860
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+466
+00:34:00,860 --> 00:34:03,740
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+467
+00:34:03,740 --> 00:34:11,500
+اتنين اتنين اتنين اتنين اتنين
+
+468
+00:34:13,240 --> 00:34:16,860
+هدول عندنا طبعًا زي ما درسونا عشان تلاحظوا أن في الـ
+
+469
+00:34:16,860 --> 00:34:23,000
+YP هناخد Y1 وY2 وY3 وY1 وY2 وY3 وY1 وY2 وY3 وY1
+
+470
+00:34:23,000 --> 00:34:33,200
+وY1 وY2 وY2 وY3 وY1 وY2 وY2 وY1 وY2 
+
+471
+00:34:33,200 --> 00:34:41,660
+وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2
+
+472
+00:34:41,660 --> 00:34:42,720
+وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2
+
+473
+00:34:42,720 --> 00:34:45,810
+وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY2 وY سنحسب أربع محددة
+
+474
+00:34:45,810 --> 00:34:50,830
+رونسكان هاي 
+
+475
+00:34:50,830 --> 00:34:53,210
+يوم يأخذ الحلول واحد واثنين واثنين واثنين و 
+
+476
+00:34:53,210 --> 00:34:56,830
+اثنين
+
+477
+00:34:57,800 --> 00:35:02,160
+بالنسبة لـ W1، سنختار نفس المحدد W نلغي العمود 
+
+478
+00:35:02,160 --> 00:35:06,280
+الأول ونختار عمود كل سطار في الآخر واحد ونحسبه 
+
+479
+00:35:06,280 --> 00:35:10,420
+طبعًا ممكن نحسبه ويظهر عندكم سالب اثنين كمثال ادرج
+
+480
+00:35:10,420 --> 00:35:13,480
+عمود الأول ادس ورسول نأخذ واحد ندرس سطار فيه
+
+481
+00:35:13,480 --> 00:35:15,400
+العمود ندرس سطار فيه العمود ندرس سطار فيه العمود
+
+482
+00:35:15,400 --> 00:35:21,100
+ندرس سطار فيه العمود ندرس سطار فيه العمود ندرس
+
+483
+00:35:21,100 --> 00:35:22,240
+سطار فيه العمود
+
+484
+00:35:24,900 --> 00:35:28,800
+نأخذ الـ W2 هو نفس المحدد الأصلي ما يصير عندك لقبة 
+
+485
+00:35:28,800 --> 00:35:34,140
+تاخد الـ W1 وتغيره لا نخلص الأول والثالث ونغير
+
+486
+00:35:34,140 --> 00:35:40,620
+الثاني فبصير بالصورة هذه ونحسب المحدد يسمى E7T W
+
+487
+00:35:40,620 --> 00:35:43,540
+ثلاثة هي بالصورة هنغيّقها نأخذ المحدد الأصلي زي ما
+
+488
+00:35:43,540 --> 00:35:46,840
+هو العمود الأول والثاني بس الثالث هنغيره هنغير 
+
+489
+00:35:46,840 --> 00:35:51,130
+الثالث هنطلع المحدد الثالث E7T كذلك طلعنا الـ W1 و
+
+490
+00:35:51,130 --> 00:35:57,230
+W2 وW3 وطلعنا رونس كان وW2 وW3 وW3 وW3 وW3 و
+
+491
+00:35:57,230 --> 00:35:57,750
+W3 وW3 وW3 وW3 وW3 وW3 وW3 وW3 وW3 وW3 و
+
+492
+00:35:57,750 --> 00:36:03,450
+W3 وW3 وW3 وW3 وW3 وW3 وW3 وW3 وW3 وW3 و
+
+493
+00:36:03,450 --> 00:36:03,750
+W3 وW3 وW3 وW3 وW3 وW3 وW3 وW3 وW3 وW3 و
+
+494
+00:36:03,750 --> 00:36:06,590
+W3 وW3 وW3 وW3 وW3 وW3 وW3 وW3 وW3 وW3 و
+
+495
+00:36:06,590 --> 00:36:06,630
+W3 وW3 وW3 وW3 وW3 وW3 وW3 وW3 وW3 وW3 و
+
+496
+00:36:06,630 --> 00:36:12,880
+W3 W1 هو عبارة عن سالب 2 وG of T هو T والرمز كان من
+
+497
+00:36:12,880 --> 00:36:16,340
+2 نحسب أن تكامل هيو سالب نصف T تربيع ثم نكتب ونحفظ
+
+498
+00:36:16,340 --> 00:36:19,800
+ونحفظ ونحفظ ونحفظ ونحفظ ونحفظ ونحفظ ونحفظ ونحفظ
+
+499
+00:36:19,800 --> 00:36:20,160
+ونحفظ ونحفظ ونحفظ ونحفظ ونحفظ ونحفظ ونحفظ ونحفظ
+
+500
+00:36:20,160 --> 00:36:22,980
+ونحفظ ونحفظ ونحفظ ونحفظ ونحفظ ونحفظ ونحفظ ونحفظ
+
+501
+00:36:22,980 --> 00:36:32,780
+ونحفظ ونحف
+
+502
+00:36:33,440 --> 00:36:37,700
+الـ yb هو الـ variation يبقى عن u1 في u1 ثم u2 في
+
+503
+00:36:37,700 --> 00:36:45,100
+u2 ثم u3 في u3 ثم u3 في u3 ثم u2
+
+504
+00:36:45,100 --> 00:36:51,020
+ثم u2 ثم u3 ثم u2 ثم u3 ثم u2 ثم u3 ثم u2 ثم u3 ثم 
+
+505
+00:36:51,020 --> 00:36:52,500
+u2 ثم u2 ثم u2 ثم u2 ثم u2 ثم u2 ثم u2 ثم u2 ثم u2
+
+506
+00:36:52,500 --> 00:36:57,360
+ثم u2 ثم u2 ثم u2 ثم u2 ثم u2 ثم u2 ثم u2 ثم u2 ثم
+
+507
+00:36:57,360 --> 00:37:00,080
+u2 ثم u2 ثم u2 ثم u2 ثم u2 ثم u2 ثم u2 ثم u2 ثم u2
+
+508
+00:37:00,080 --> 00:37:01,180
+ثم u2 ثم u2 ثم u2 ثم u2 ثم u2 ثم u2 ثم u2 ثم u2 ثم
+
+509
+00:37:01,180 --> 00:37:10,530
+u2 ثم u2 ثم u2 هذه U3 مضروبة في Y3 وY بيسبب YC زي
+
+510
+00:37:10,530 --> 00:37:13,190
+YB طبعًا الطريقة بتحل أي سؤال وهي السؤال اللي
+
+511
+00:37:13,190 --> 00:37:18,410
+قلتُها طبعًا بأطمئنكم تحلوا بطريقة الـ Undermined
+
+512
+00:37:18,410 --> 00:37:20,710
+coefficient وتحلو الكثير من الأسئلة اللي درسناها
+
+513
+00:37:20,710 --> 00:37:24,290
+على طريقة الـ Undermined coefficient بإستخدام
+
+514
+00:37:24,290 --> 00:37:29,600
+طريقة الـ Variation هكذا قمنا بعمل مناقشة من خلال
+
+515
+00:37:29,600 --> 00:37:33,680
+اثنين فيديوهين لشبتر أربعة كله لازم تحضروا 
+
+516
+00:37:33,680 --> 00:37:35,600
+المحاضرات النظرية للأستاذ اسمه الاصطناعي الاصطناعي
+
+517
+00:37:35,600 --> 00:37:37,060
+الاصطناعي الاصطناعي الاصطناعي الاصطناعي الاصطناعي
+
+518
+00:37:37,060 --> 00:37:39,360
+الاصطناعي الاصطناعي الاصطناعي الاصطناعي الاصطناعي
+
+519
+00:37:39,360 --> 00:37:39,520
+الاصطناعي الاصطناعي الاصطناعي الاصطناعي الاصطناعي
+
+520
+00:37:39,520 --> 00:37:42,160
+الاصطناعي الاصطناعي الاصطناعي الاصطناعي الاصطناعي
+
+521
+00:37:42,160 --> 00:37:47,580
+الاصطناعي الاصطناعي الاصطناعي الاصطناعي الاصطناعي
+
+522
+00:37:47,580 --> 00:37:48,320
+ال 
diff --git a/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/IMPmWEmDZhA.srt b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/IMPmWEmDZhA.srt
new file mode 100644
index 0000000000000000000000000000000000000000..b1ac4310b204a14cbb741c6a9caa3beac394f943
--- /dev/null
+++ b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/IMPmWEmDZhA.srt
@@ -0,0 +1,1191 @@
+1
+00:00:03,240 --> 00:00:06,260
+بسم الله الرحمن الرحيم عزيزي الطلاب السلام عليكم
+
+2
+00:00:06,260 --> 00:00:10,520
+ورحمة الله وبركاته في درس جديد من مصادق معادلات
+
+3
+00:00:10,520 --> 00:00:16,460
+بفضل الله علينا في الفيديو السابق وصلنا إلى Section 
+
+4
+00:00:16,460 --> 00:00:23,000
+3.2 حيث تعرضنا لمفهوم جديد وهو الرمز Wronskian في هذا ال
+
+5
+00:00:23,000 --> 00:00:28,160
+Section سندرس العلاقة بين رمز Wronskian وlinear
+
+6
+00:00:28,160 --> 00:00:31,960
+independence من 
+
+7
+00:00:31,960 --> 00:00:37,440
+وين الـ Section؟ 3.3 Linear Independence and
+
+8
+00:00:37,440 --> 00:00:41,640
+Wronskian زي
+
+9
+00:00:41,640 --> 00:00:45,600
+ما احنا ملاحظين من عنوان الـ Section هنتعرض لمفهوم
+
+10
+00:00:45,600 --> 00:00:50,220
+جديد هو Linear Independence ويرتبط به مفهوم آخر هو
+
+11
+00:00:50,220 --> 00:00:54,940
+Linear Dependent. Linear بمعنى خطي و Independence
+
+12
+00:00:54,940 --> 00:00:58,700
+بمعنى استقلال فندرس الاستقلال الخطي و Wronskian هو
+
+13
+00:00:58,700 --> 00:01:01,560
+محدد Wronskian اللي درسناه في Section 3.2
+
+14
+00:01:02,600 --> 00:01:07,860
+بعد انتهاء من هذه المحاضرة فأهداف المحاضرة زي ما
+
+15
+00:01:07,860 --> 00:01:11,680
+احنا شايفينها حسب المواضيع اللي هندرسها في اسمها 
+
+16
+00:01:11,680 --> 00:01:14,620
+يتعرف الطالب على المقصود بـ Linear Independence
+
+17
+00:01:14,620 --> 00:01:19,440
+ومفهومها ومفهوم 
+
+18
+00:01:19,440 --> 00:01:24,160
+الـ Linear Dependence المرتبط به. 2 يربط الطالب 
+
+19
+00:01:24,160 --> 00:01:28,760
+بين Wronskian اللي درسناه في Section 3.2 و Linear
+
+20
+00:01:28,760 --> 00:01:33,110
+Independence. 3 يطبق الطالب نظرية Abel وهي
+
+21
+00:01:33,110 --> 00:01:36,630
+نظرية مشهورة ومهمة سوف ندرسها في هذا الـ Section
+
+22
+00:01:36,630 --> 00:01:44,370
+في حل مسائل متنوعة. Definition
+
+23
+00:01:44,370 --> 00:01:49,690
+Two functions f of t and g of t are said to be
+
+24
+00:01:49,690 --> 00:01:53,710
+linearly dependent on an interval I if there exist
+
+25
+00:01:53,710 --> 00:01:56,470
+two constants k1 and k2
+
+26
+00:02:07,110 --> 00:02:10,090
+التعريف هذا بيقول إن أنا لو عندي Two functions f
+
+27
+00:02:10,090 --> 00:02:14,290
+of t و g of t فبنقول عليهم إنهم linearly dependent
+
+28
+00:02:14,290 --> 00:02:18,690
+يعتمدوا على بعض خطياً في الفترة I إذا قدرت ألاقي
+
+29
+00:02:18,690 --> 00:02:23,590
+Two constants k1 و k2. k1 لا يساوي 0 و k2 لا يساوي 0
+
+30
+00:02:25,610 --> 00:02:29,550
+بحيث إن k1 في f of t زائد k2 في g of t يساوي صفر
+
+31
+00:02:29,550 --> 00:02:36,090
+طبعاً كل t تنتمي للفترة I. هذا هو معادلة 1
+
+32
+00:02:36,090 --> 00:02:40,250
+بيعطينا إن f و g يعتمدوا على بعض خطياً. طبعاً نسميه 
+
+33
+00:02:40,250 --> 00:02:46,410
+Linear combination تجميع خطي. ممكن تجميع خطي بين f و
+
+34
+00:02:46,410 --> 00:02:49,990
+g بحيث يتمتّوا بـ يساوي صفر. أجد على لاجئ الـ Two
+
+35
+00:02:49,990 --> 00:02:55,100
+constants k1 ده يساوي صفر. k2 ده يساوي صفر بحيث إن k1
+
+36
+00:02:55,100 --> 00:03:00,260
+في f و k2 في g بيساوي صفر. وهذا يعني بيعطيني إن الـ f
+
+37
+00:03:00,260 --> 00:03:02,920
+والـ g يعتمدوا على بعض خطياً لأن من هذه المعادلة 
+
+38
+00:03:02,920 --> 00:03:06,200
+ممكن نكتب الـ f بدلالة الـ g. ممكن احنا ننقل على طرف
+
+39
+00:03:06,200 --> 00:03:11,040
+الثاني يصبح ناقص k2 في الـ g على k1 فبيصير الـ f يساوي
+
+40
+00:03:11,040 --> 00:03:15,500
+ثابت في الـ g. والـ g تساوي ثابت في الـ f. يعني بنلاحظ 
+
+41
+00:03:15,500 --> 00:03:19,600
+إن الدالتين يعتمدوا على بعض خطياً. طب لو أنا
+
+42
+00:03:19,600 --> 00:03:23,920
+ماقدرتش ألاقي هذوك constants في هذه المعادلة ففي الحالة هذه 
+
+43
+00:03:23,920 --> 00:03:26,340
+المعادلة بيقول عنها إن الـ f والـ g are linearly
+
+44
+00:03:26,340 --> 00:03:30,160
+independent. فبقول إن the functions f of t و g of 
+
+45
+00:03:30,160 --> 00:03:34,460
+t are said to be linearly independent on an 
+
+46
+00:03:34,460 --> 00:03:40,340
+interval I if they are not linearly dependent.
+
+47
+00:03:40,340 --> 00:03:44,300
+يعني إذا كان مش dependent فهو لازم يكون linearly
+
+48
+00:03:44,300 --> 00:03:50,150
+independent. إذا لم يتحقق هذا الشرط يعني أي كون  هل
+
+49
+00:03:50,150 --> 00:03:53,750
+يجب أن يكون k1 و k2 بصفر فقط؟ لازم بس الاثنين 
+
+50
+00:03:53,750 --> 00:04:02,190
+يكونوا صفر في الحالة الوحيدة فقط. فإذن هناخد 
+
+51
+00:04:02,190 --> 00:04:06,410
+نظرية تساعدنا في أن ندرس أو نعرف هل الـ function 
+
+52
+00:04:06,410 --> 00:04:08,530
+اللي عندي linearly independent ولا dependent
+
+53
+00:04:08,530 --> 00:04:12,750
+وهذه العلاقة بـ Wronskian. بنرجع لنفسنا على عنوان الـ
+
+54
+00:04:12,750 --> 00:04:15,730
+Section لأن عنوان الـ Section كما شوفنا بيربط بين 
+
+55
+00:04:15,730 --> 00:04:22,350
+linearly independent و Wronskian. هذه نظرية 3.3.1.
+
+56
+00:04:22,350 --> 00:04:25,910
+نظرية 3.3.1 if f of t and g of t 
+
+57
+00:04:25,910 --> 00:04:29,850
+are differentiable functions on any open interval
+
+58
+00:04:29,850 --> 00:04:30,290
+I
+
+59
+00:04:33,200 --> 00:04:37,460
+الـ Wronskian لـ f و g لا يساوي صفر عند نقطة معينة t0 
+
+60
+00:04:37,460 --> 00:04:41,380
+For some point t0 تنتمي للـ I then f of t and g of
+
+61
+00:04:41,380 --> 00:04:45,040
+t are linearly independent on an interval I. لنظرية
+
+62
+00:04:45,040 --> 00:04:48,800
+اللي بتقول ليه؟ عشان أسمي أو أقول Two functions f 
+
+63
+00:04:48,800 --> 00:04:50,880
+of t و g of t are linearly independent على 
+
+64
+00:04:50,880 --> 00:04:54,820
+Function على Interval I لازم يكون الـ Wronskian تبعهم
+
+65
+00:04:54,820 --> 00:04:58,460
+لا يساوي صفر عند نقطة واحدة. نقطة واحدة في الفترة 
+
+66
+00:04:58,460 --> 00:05:01,720
+هذه. نقطة واحدة في الفترة احسب الـ Wronskian و لا
+
+67
+00:05:01,720 --> 00:05:07,710
+يساوي صفر. بالمقابل إذا كان f of t أو g of t are
+
+68
+00:05:07,710 --> 00:05:12,510
+linearly dependent على فترة I، فـ Wronskianهم سيكونون 
+
+69
+00:05:12,510 --> 00:05:18,110
+دائماً Zero. فهذه النظرية ستساعدني في أن أفحص هل 
+
+70
+00:05:18,110 --> 00:05:20,570
+الـ Two functions linearly independent ولا لا بإن 
+
+71
+00:05:20,570 --> 00:05:24,250
+أحسب Wronskian. إذا Wronskian طلع لا يساوي صفر فبقولوا 
+ 
+72
+00:05:24,250 --> 00:05:24,670
+independent
+
+73
+00:05:29,900 --> 00:05:32,840
+النظرية المهمة اللي قلنا عنها في بداية الـ Section
+
+74
+00:05:32,840 --> 00:05:37,920
+نظرية Abel. نظرية 3.3.2. Why 1 and
+
+75
+00:05:37,920 --> 00:05:42,880
+Why 2 are two functions two solutions وطبعاً الـ
+
+76
+00:05:42,880 --> 00:05:48,240
+solutions لازم يكونوا functions فهذا ينفع في حالة 
+
+77
+00:05:48,240 --> 00:05:53,280
+الـ functions Y1 و Y2 هما حلول المعادلة
+
+78
+00:05:53,280 --> 00:05:57,180
+Y double prime زائد P of t في Y prime 
+
+79
+00:05:57,180 --> 00:06:11,920
+زائد q of t في Y يساوي صفر
+
+80
+00:06:12,040 --> 00:06:15,440
+يساوي ثابت مضروب في الـ Exponential لسالب تكامل p of
+
+81
+00:06:15,440 --> 00:06:19,620
+t لـ t حيث p هي معامل y' عندما تكون معامل y double
+
+82
+00:06:19,620 --> 00:06:24,060
+prime 1. فالنظرية بتساعدني في أن أحسب الـ Wronskian 
+
+83
+00:06:24,060 --> 00:06:26,640
+للـ two solutions بدون معرفة من هم الـ
+
+84
+00:06:26,640 --> 00:06:30,260
+solutions لكن بيكون الجواب فيه أو الـ Wronskian فيه
+
+85
+00:06:30,260 --> 00:06:36,080
+ثابت. ثابت. هذا هو C is a constant يعتمد على Y1
+
+86
+00:06:36,080 --> 00:06:43,080
+و Y2 ولا يعتمد على t. هذه نظرية Abel مهمة بقدر من 
+
+87
+00:06:43,080 --> 00:06:46,240
+خلالها احسب الـ Wronskian للحلين بدون معرفة منهم 
+
+88
+00:06:46,240 --> 00:06:49,680
+الحلين وحنشوف إن لها تطبيقات عديدة ومثال عديدة في
+
+89
+00:06:49,680 --> 00:06:54,620
+هذا الـ Section. ملاحظة
+
+90
+00:06:54,620 --> 00:06:57,360
+من السابق إن الـ Wronskian زي ما قلنا احنا في الشريحة 
+
+91
+00:06:57,360 --> 00:06:59,940
+السابقة بيساوي ثابت في الـ Exponential واحنا عارفين
+
+92
+00:06:59,940 --> 00:07:02,240
+إن الـ Exponential ما بيساوي صفر. فـ Wronskian حجمه 
+
+93
+00:07:02,240 --> 00:07:07,100
+اثنين لا يساوي صفر أو لا يساوي صفر هو يساوي 
+
+94
+00:07:07,100 --> 00:07:09,440
+الصفر فقط في حالة واحدة إذا كان الثابت نفس الصفر 
+
+95
+00:07:09,440 --> 00:07:12,060
+لأن لو كان الثابت صفر والـ Exponential احنا 
+
+96
+00:07:12,060 --> 00:07:16,340
+عارفين درسنا قبل كده إن الـ Exponential دائماً ما بيساوي 
+
+97
+00:07:16,340 --> 00:07:18,920
+الصفر لأنه دائماً الـ range عندك في الفترة المفتوحة 
+
+98
+00:07:18,920 --> 00:07:22,360
+من الصفر لما لا نهاية. كان أكبر من صفر. فلو كان 
+
+99
+00:07:22,360 --> 00:07:25,560
+الثابت لا يساوي الصفر فـ c ليه لا تساوي صفر في 
+
+100
+00:07:25,560 --> 00:07:27,700
+الـ Exponential ممكن إنه يساوي صفر لأن الـ Wronskian
+
+101
+00:07:27,700 --> 00:07:30,260
+هيساوي صفر في حالة واحدة إذا كان الثابت يساوي 
+
+102
+00:07:30,260 --> 00:07:30,560
+الصفر
+
+103
+00:07:35,130 --> 00:07:39,230
+بناخد مثال على استخدام نظرية Abel. مثال واحد. Assume 
+
+104
+00:07:39,230 --> 00:07:42,130
+that y1 يساوي t والنص و y2 يساوي t 
+
+105
+00:07:42,130 --> 00:07:44,550
+والسالب 1 are solutions of the differential 
+
+106
+00:07:44,550 --> 00:07:48,870
+equation 2t تربيع y double prime ناقص 3t y prime 
+
+107
+00:07:48,870 --> 00:07:53,630
+ناقص y يساوي صفر. و t أكبر من صفر. Use Abel's
+
+108
+00:07:53,630 --> 00:08:01,140
+theorem to find the constant c. هو في المعادلة
+
+109
+00:08:01,140 --> 00:08:05,340
+الأولى طبعاً هنحسب الـ Wronskian للـ Two solutions
+
+110
+00:08:05,340 --> 00:08:09,300
+بطريقتين. الطريقة اللي درسناها في الـ Section السابق على 
+
+111
+00:08:09,300 --> 00:08:12,980
+إننا نحسب المحدد وطريقة ثانية هي  في Section Abel
+
+112
+00:08:12,980 --> 00:08:15,240
+باستخدام نظرية Abel. طبعاً في نظرية Abel سيكون فيه 
+
+113
+00:08:15,240 --> 00:08:18,900
+ثابت هنساوي اللي هو الجوابين مع بعض وبالتالي هنحسب
+
+114
+00:08:18,900 --> 00:08:22,240
+الثابت c. عشان نستخدم نظرية Abel في الأول لازم 
+
+115
+00:08:22,240 --> 00:08:28,990
+نجيب p of t وهو معامل y' مقسوم على معامل y double prime أو
+
+116
+00:08:28,990 --> 00:08:32,590
+نخلي معامل y double prime يساوي 1. نقسم عليه فبيطلع 3t
+
+117
+00:08:32,590 --> 00:08:35,290
+على 2t. تابعي يعني 3 على 2t كما احنا
+
+118
+00:08:35,290 --> 00:08:38,890
+شايفين. نفسنا. Abel بيقول إن الـ Wronskian بيساوي سالب 
+
+119
+00:08:38,890 --> 00:08:42,630
+Exponential لسالب تكامل p of t لـ t
+
+120
+00:08:42,630 --> 00:08:45,930
+ويساوي c في Exponential تكامل هذا p of t ونحسب
+
+121
+00:08:45,930 --> 00:08:49,810
+التكامل ونستخدم قواعد الـ Math اللي بيطلع على 
+
+122
+00:08:49,810 --> 00:08:54,550
+الجواب c في t أس سالب 3 على 2. هذا هو قيمة
+
+123
+00:08:54,550 --> 00:09:01,710
+Wronskian باستخدام نظرية Abel. طيب لو اتعاملنا اللي هو
+
+124
+00:09:01,710 --> 00:09:06,450
+باستخدام المحدد. Wronskian ها أنا بحط أو في الصف
+
+125
+00:09:06,450 --> 00:09:09,630
+الأول Two functions أو Two solutions وأنا مش لاقي
+
+126
+00:09:09,630 --> 00:09:12,330
+الأولى. كل واحد نحسبها وبيطلع حقاً الجواب بالمقارنة 
+
+127
+00:09:12,330 --> 00:09:15,050
+بين الجوابين واضح إن c لازم يساوي سالب 3 على 
+
+128
+00:09:15,050 --> 00:09:18,400
+2. إذن إننا حسبنا Wronskian بطريقتين. تلاحظوا
+
+129
+00:09:18,400 --> 00:09:21,820
+بالنسبة لنظرية Abel احنا حساب الـ Wronskian طبعاً 
+
+130
+00:09:21,820 --> 00:09:24,080
+يعتمد على ثابت بدون ما نعرف مين هم الحلّين لكن
+
+131
+00:09:24,080 --> 00:09:26,780
+طريقة المحدد لازم يكون عارف مين هم الحلّين وهذه هي
+
+132
+00:09:26,780 --> 00:09:29,980
+الفعالية الكبيرة اللي قدرت Abel إنها أنا بجيب الـ
+
+133
+00:09:29,980 --> 00:09:32,860
+Wronskian بدون ما ... للحلول بدون ما أعرفهم لأنه 
+
+134
+00:09:32,860 --> 00:09:35,100
+يعتمد على ثابت. الثابت هذا نفسه زي ما قلنا في
+
+135
+00:09:35,100 --> 00:09:38,460
+النظرية يعتمد على الحلّين ما أقدرش أحسبه إلا أعرف
+
+136
+00:09:38,460 --> 00:09:42,200
+الحلّين أو ببعض المعلومات زي ما هشوف تطبيقات أخرى 
+
+137
+00:09:42,200 --> 00:09:51,880
+على هذه النقطة. نشوف نظرية جديدة. نظرية
+
+138
+00:09:51,880 --> 00:09:59,420
+3.3.3. 3.3.3
+
+139
+00:09:59,420 --> 00:10:10,760
+3.3.3
+
+140
+00:10:10,760 --> 00:10:15,600
+3.3.3. 3.3.3. 3.3.3. 3.3.3. 
+
+141
+00:10:15,600 --> 00:10:16,460
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تبتقول
+
+142
+00:10:16,460 --> 00:10:21,080
+أن هناك تكافؤ لو كان لدي P و U continuous
+
+143
+00:10:21,080 --> 00:10:24,260
+functions وY1 وY2 الـR linearly dependent
+
+144
+00:10:24,260 --> 00:10:26,780
+solutions بقول عن حلول الـ independent solutions
+
+145
+00:10:26,780 --> 00:10:30,160
+إذا كان الـ Wronskian بتاعهم بساوي Zero إذا هذا بتديني
+
+146
+00:10:30,160 --> 00:10:34,580
+أقوم بالنظرية السابقة اللي كانت تلاتة تلاتة واحد
+
+147
+00:10:34,580 --> 00:10:41,780
+أن لو كان لدي two solutions two
+
+148
+00:10:41,780 --> 00:10:46,250
+solutions Y1 وY2 الـR linearly dependent on I هذا
+
+149
+00:10:46,250 --> 00:10:48,870
+هو فقط إذا كان الـ Wronskian كان مساويا zero فبالتالي إذا
+
+150
+00:10:48,870 --> 00:10:51,090
+أنا كان لدي two solutions linearly independent
+
+151
+00:10:51,090 --> 00:10:54,070
+فلزم يكون الـ Wronskian مساويا صفر و بالمقابل إذا كان الـ Wronskian
+
+152
+00:10:54,070 --> 00:10:57,950
+مساويا صفر فهو مساويا linearly independent طبعا احنا
+
+153
+00:10:57,950 --> 00:11:01,110
+لو أخذنا من نهار يضيئنا في الجملة الأولى يكافئنا
+
+154
+00:11:01,110 --> 00:11:03,970
+في الجملة التالية ما هو نفي الجملة الأولى الواحد
+
+155
+00:11:03,970 --> 00:11:06,530
+واحد واثنين are linearly independent يكافئنا أن
+
+156
+00:11:06,530 --> 00:11:11,190
+الـ Wronskian كان not zero لأ مساويا zero هذه مكتوبة
+
+157
+00:11:11,190 --> 00:11:16,560
+alternatively بالمقابل y1 and y2 are linearly
+
+158
+00:11:16,560 --> 00:11:19,960
+independent on I if and only if the Wronskian is
+
+159
+00:11:19,960 --> 00:11:20,920
+never zero
+
+160
+00:11:42,050 --> 00:11:45,650
+هذه الشريعة مهمة لأنها ملخصة لكل المعلومات اللي
+
+161
+00:11:45,650 --> 00:11:48,630
+أخذناها في النظريات السابقة على الـ Wronskian و
+
+162
+00:11:48,630 --> 00:11:53,010
+الـ Independent We can summarize the facts about
+
+163
+00:11:53,010 --> 00:11:55,570
+fundamental set of solutions الـ Fundamental set
+
+164
+00:11:55,570 --> 00:11:59,970
+of solutions دلوقتي تلاتة اتنين لازم ال solutions
+
+165
+00:11:59,970 --> 00:12:01,990
+اللي عندي يكون الـ Wronskian بتاعهم لا يساوي Zero
+
+166
+00:12:01,990 --> 00:12:05,570
+و الـ Wronskian هذا كله تلاتة اتنين و اللي
+
+167
+00:12:05,570 --> 00:12:08,710
+أخذناه في الـ section الحالي Linear Independence مع
+
+168
+00:12:08,710 --> 00:12:12,820
+الـ Wronskian ايش بتقول الملخص؟ لو أنا كان عندي
+
+169
+00:12:12,820 --> 00:12:15,860
+حلول الـY1 وY2 بـ2 solutions of the differential
+
+170
+00:12:15,860 --> 00:12:20,020
+equation where P of T and Q of T are continuous on
+
+171
+00:12:20,020 --> 00:12:24,280
+an open interval I then the following statements
+
+172
+00:12:24,280 --> 00:12:27,420
+are equivalent الجمل الأربع دي كلها مكافئة وهذا
+
+173
+00:12:27,420 --> 00:12:30,020
+الملخص اللي درسناه من الحقائق على الـWronskian
+
+174
+00:12:30,020 --> 00:12:33,400
+والـfundamental solutions والـindependency
+
+175
+00:12:33,400 --> 00:12:36,860
+والـdependency اللي هو section تلاتة اثنين وتلاتة
+
+176
+00:12:36,860 --> 00:12:39,960
+تلاتة ايش بيقول الأول حاجة؟ أنا بقول فيه يعني
+
+177
+00:12:39,960 --> 00:12:42,340
+الأربع طبعا زي ما قلت أربع جمل متكافئة الجملة
+
+178
+00:12:42,340 --> 00:12:48,080
+الأولى the functions y1 وy2 are fundamental set of
+
+179
+00:12:48,080 --> 00:12:51,540
+solutions on I يعني بقول عن y1 وy2 are fundamental
+
+180
+00:12:51,540 --> 00:12:57,780
+solutions هذا يكافئ أن y1 وy2 are linearly
+
+181
+00:12:57,780 --> 00:13:03,480
+independent وهذا يكافئ أن Wronskian زي ما أخذناه
+
+182
+00:13:03,480 --> 00:13:07,200
+في النظرية السابقة تلاتة تلاتة تلاتة الـ Wronskian كانت
+
+183
+00:13:07,200 --> 00:13:11,520
+لا يساوي 0 for some point طبعا دراسة الـ Wronskian كانت
+
+184
+00:13:11,520 --> 00:13:16,300
+دائما بيساوي صفر أو لا يساوي صفر و هذا يكافئ أن
+
+185
+00:13:16,300 --> 00:13:20,240
+الـ Wronskian كانت لا يساوي 0 دائما لأن الـ Wronskian كانت
+
+186
+00:13:20,240 --> 00:13:24,440
+يساوي ثابت في exponential و يساوي صفر إذا كان الثابت
+
+187
+00:13:24,440 --> 00:13:28,980
+صفر فلو كان الثابت لا يساوي صفر فهذا يكافئ أنه لا
+
+188
+00:13:28,980 --> 00:13:32,020
+يساوي صفر مش عنده واحد فقط دائما لأن هذا أربع
+
+189
+00:13:32,020 --> 00:13:37,850
+جمل متكافئة لو كان y1 و y2 هم الاصطناعي الاصطناعي
+
+190
+00:13:37,850 --> 00:13:42,170
+الاصطناعي الاصطناعي الاصطناعي
+
+191
+00:13:42,170 --> 00:13:43,050
+الاصطناعي الاصطناعي الاصطناعي الاصطناعي الاصطناعي
+
+192
+00:13:43,050 --> 00:13:43,390
+الاصطناعي الاصطناعي الاصطناعي الاصطناعي الاصطناعي
+
+193
+00:13:43,390 --> 00:13:44,890
+الاصطناعي الاصطناعي الاصطناعي الاصطناعي الاصطناعي
+
+194
+00:13:44,890 --> 00:13:45,330
+الاصطناعي الاصطناعي الاصطناعي الاصطناعي الاصطناعي
+
+195
+00:13:45,330 --> 00:13:47,310
+الاصطناعي الاصطناعي الاصطناعي الاصطناعي الاصطناعي
+
+196
+00:13:47,310 --> 00:13:55,690
+الاصطناعي الاصطناعي الاصطناعي الاصطناعي الاصطناعي
+
+197
+00:13:55,690 --> 00:14:01,630
+الاصطناعي نفس الشيء، بتأكد من مخدراتنا أنه شرطياً
+
+198
+00:14:01,630 --> 00:14:04,810
+شرط الأول يكون لازم solutions بالتعويض ثاني حاجة
+
+199
+00:14:04,810 --> 00:14:08,690
+بحسب الـ Wronskian بتاعهم أنه لا يساوي zero لما قلنا
+
+200
+00:14:08,690 --> 00:14:13,890
+لأنه أخذنا في section تلاتة اتنين أن الـ Wronskian ال
+
+201
+00:14:13,890 --> 00:14:16,950
+fundamental solution لازم لا يساوي zero أخذنا في
+
+202
+00:14:16,950 --> 00:14:19,890
+الـ section هذا أن لو كان الـ Wronskian لا يساوي zero
+
+203
+00:14:19,890 --> 00:14:22,330
+فهو بيكون linearly independent ولو كان الـ
+
+204
+00:14:22,330 --> 00:14:24,730
+linearly independent فـ Wronskian لا يساوي zero
+
+205
+00:14:28,030 --> 00:14:33,170
+نتقل الآن لتطبيقات على Instruction في example 2 هو
+
+206
+00:14:33,170 --> 00:14:36,350
+عبارة عن question 4 في الـ tab determine whether
+
+207
+00:14:36,350 --> 00:14:38,730
+the following functions are linearly independent
+
+208
+00:14:38,730 --> 00:14:41,830
+or linearly dependent طبعا في عدة functions احنا
+
+209
+00:14:41,830 --> 00:14:45,190
+أخذناها كمثال هذه الـ functions f of t تساوي e في
+
+210
+00:14:45,190 --> 00:14:48,530
+تلاتة x وd of x تساوي e في تلاتة x ناقص واحد واضح
+
+211
+00:14:48,530 --> 00:14:51,390
+أنه تتبع تبدو ع بعض لإن أنا ممكن أكتب d of x افكت
+
+212
+00:14:51,390 --> 00:14:54,050
+الفجر الـ exponential of e في تلاتة x في e والسالب
+
+213
+00:14:54,050 --> 00:14:56,970
+واحد إذا تساوي الزائد في f of x يعني تبدو عبارة
+
+214
+00:14:56,970 --> 00:15:01,270
+خطيئة لأن هو واضح و سهل، لأن لو كانت أكثر تعقيدا
+
+215
+00:15:01,270 --> 00:15:05,550
+صعب ليس أن أجيب عطول مباشرة فـ Wronskian بريحني كتير في
+
+216
+00:15:05,550 --> 00:15:08,690
+كل حساباتها دي سواء كانت بسيطة زي مثلنا أو أصعب
+
+217
+00:15:08,690 --> 00:15:12,210
+فرغبنا احنا عشان نحفظ هل هي independent او لا
+
+218
+00:15:12,210 --> 00:15:16,050
+dependent أحسب الـ Wronskian هاي اللي عند الدولة اللي مش
+
+219
+00:15:16,050 --> 00:15:20,610
+تقر ولا لما حصلتوا طلبنا اللي هو القتر الرئيسي
+
+220
+00:15:20,610 --> 00:15:24,190
+نفس القتر الثاني وحصلنا فطلع الجواب صفر فطلع الصفر
+
+221
+00:15:24,840 --> 00:15:27,780
+ثابت ونصف كانت صفر فبالتالي بيكون ال two functions
+
+222
+00:15:27,780 --> 00:15:31,320
+are linearly independent طبعا لو طلع له يساوي صفر
+
+223
+00:15:31,320 --> 00:15:35,220
+independent فعملية بسيطة وسهلة كما تشاهدين و أريح
+
+224
+00:15:35,220 --> 00:15:39,720
+من أن نقعد ندور على ثوابت سوار ولا مش سوار على
+
+225
+00:15:39,720 --> 00:15:42,300
+طول بأنه نصف كانت طبعا هذا برضه نفس الكلام اللي
+
+226
+00:15:42,300 --> 00:15:44,920
+هتوفر في الشهر ترجع يكون درجة أعلى ولا مش two
+
+227
+00:15:44,920 --> 00:15:48,520
+functions أو ثلاثة functions او أكثر إن شاء الله
+
+228
+00:15:48,520 --> 00:15:55,310
+روح لتطبيق على قابل طالب من فاندا الـ Wronskian هذا
+
+229
+00:15:55,310 --> 00:16:01,330
+مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا
+
+230
+00:16:01,330 --> 00:16:05,830
+مثلا
+
+231
+00:16:05,830 --> 00:16:06,690
+مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا
+
+232
+00:16:06,690 --> 00:16:06,710
+مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا
+
+233
+00:16:06,710 --> 00:16:07,010
+مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا
+
+234
+00:16:07,010 --> 00:16:07,030
+مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا
+
+235
+00:16:07,030 --> 00:16:07,230
+مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا
+
+236
+00:16:07,230 --> 00:16:07,430
+مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا
+
+237
+00:16:07,430 --> 00:16:10,830
+مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا
+
+238
+00:16:10,830 --> 00:16:19,810
+مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا
+
+239
+00:16:19,810 --> 00:16:23,030
+مثلا مثلا مثلا مثلا مثلا مثلا مثلا هي تُرسل yوشيز
+
+240
+00:16:23,030 --> 00:16:25,610
+من نفس الـ differential equation ماعلي اللي هي P
+
+241
+00:16:25,610 --> 00:16:28,630
+في X وطلعت P X تساوي سالب اتنين X على واحد ناقص
+
+242
+00:16:28,630 --> 00:16:34,210
+التربيع ونحن نعوض
+
+243
+00:16:34,210 --> 00:16:39,250
+ونحسب وبطلع معناها اللي هو هاي القاعدة اللي أخذناها
+
+244
+00:16:39,250 --> 00:16:41,830
+طبعا أنا عندي أن الـ function في X فانعوضت في X
+
+245
+00:16:41,830 --> 00:16:49,050
+وحسبناها وهي بطلع قيمة الـ Wronskian طبعا هي مجهولة
+
+246
+00:16:49,050 --> 00:16:53,530
+عند السابت C زي ما قلنا هذا يعتمد على اللي هو الحل
+
+247
+00:16:53,530 --> 00:16:56,070
+طبعا ما نعرفش مش الحلين فهذا التابع اللي عايز هو
+
+248
+00:16:56,070 --> 00:16:59,570
+أعطاني معلومة وده هنشوفه إن شاء الله بعد شوية في
+
+249
+00:16:59,570 --> 00:17:04,490
+سؤال تطبيق جمال آخر على جريد قبل ومرتد زيه في
+
+250
+00:17:04,490 --> 00:17:10,890
+امتحانات هذا السؤال مرتد امتحانات السابقة مديني
+
+251
+00:17:10,890 --> 00:17:16,550
+اللي هو سؤال 21 في الكتاب صفحة 158 Y1 and Y2 are
+
+252
+00:17:16,550 --> 00:17:21,050
+linearly independent solutions
+
+253
+00:17:21,050 --> 00:17:29,610
+فهي معادلة تفاضلية وهي معادلة تفاضلية وهي معادلة
+
+254
+00:17:29,610 --> 00:17:34,010
+تفاضلية وهي معادلة تفاضلية وهي معادلة تفاضلية وهي
+
+255
+00:17:34,010 --> 00:17:35,430
+معادلة تفاضلية وهي معادلة تفاضلية وهي معادلة تفاضلية
+
+256
+00:17:35,430 --> 00:17:35,550
+وهي معادلة تفاضلية وهي معادلة تفاضلية وهي معادلة
+
+257
+00:17:35,550 --> 00:17:36,170
+وهي معادلة تفاضلية وهي معادلة تفاضلية وهي معادلة
+
+258
+00:17:36,170 --> 00:17:40,430
+تفاضلية وهي معادلة تفاضلية وهي معادلة تفاضلية وهي مع
+
+259
+00:17:42,800 --> 00:17:46,400
+هيوغو جبنا الـ Wronskian نفس الفطوار جبنا P X وحسب
+
+260
+00:17:46,400 --> 00:17:49,040
+أن الـ Wronskian طالع فيه ثابت ماهو بقدر أعمل أجيب
+
+261
+00:17:49,040 --> 00:17:51,640
+التابع لازم أكون عندي معلومات مجهول بدي أكلّل
+
+262
+00:17:51,640 --> 00:17:55,120
+معادلة طب هل أما باعطينا اللي هو زي ما أخذنا في
+
+263
+00:17:55,120 --> 00:17:57,740
+المثال السابق باعطينا حلولين و بحسب الـ Wronskian بتاعهم
+
+264
+00:17:57,740 --> 00:18:00,540
+بالطريقة المحددة و بصويهم زي ما أخذنا في المثال
+
+265
+00:18:00,540 --> 00:18:09,550
+السابق درس أو حاليا أن إنابعطيك المعلومة أن أنت
+
+266
+00:18:09,550 --> 00:18:12,090
+ثابت وأنت بعد ما تجيب الرمز بتاعه وفيه ثابت عشان
+
+267
+00:18:12,090 --> 00:18:15,110
+تجيبه أن قيمة الدالة عند اتنين هي دالة تساوي
+
+268
+00:18:15,110 --> 00:18:17,950
+تلاتة فبنحسب منها الثابت C هي بيصير الـ Wronskian
+
+269
+00:18:17,950 --> 00:18:21,150
+المعروف والثابت معروف وممكن بعدييك أعوض في أي نقطة
+
+270
+00:18:21,150 --> 00:18:25,330
+يعني فس يكون ممكن أعوض فيها في المجال اللي هو
+
+271
+00:18:25,330 --> 00:18:31,270
+الـ Wronskian نفسه بطلع زي ما أنتو شايفين دالة أول
+
+272
+00:18:31,270 --> 00:18:34,410
+حاجة بحسب النظرية بجيب P of T P of T تساوي سالب
+
+273
+00:18:34,410 --> 00:18:39,750
+اتنين على T تربيع و بنحسب أن إذا كان القانون ينتج
+
+274
+00:18:39,750 --> 00:18:45,710
+سالب شباب أن سالب اتنين على T تربيع حالة من نفس
+
+275
+00:18:45,710 --> 00:18:50,030
+البيع فهنا فيه سالب من القانون فالسالب مع السالب
+
+276
+00:18:50,030 --> 00:18:53,470
+بيروحه بيصير اتنين على T تربيعه من كامل أي
+
+277
+00:18:53,470 --> 00:18:56,450
+exponential E والسالب اتنين على T هنا فيه سالب
+
+278
+00:18:58,180 --> 00:19:01,960
+فبطلع أن لو اتعدى الـ Wronskian نيجا خلصنا زي اسم التلات
+
+279
+00:19:01,960 --> 00:19:04,520
+السابق لو مافيش معلومات جديدة عن الـ independent زي ما
+
+280
+00:19:04,520 --> 00:19:07,600
+مديني هنا خلاص اتحال جوابك أن هي بتقول أن الـ Wronskian 
+
+281
+00:19:07,600 --> 00:19:11,440
+عند اتنين بيساووا تلاتة فانعوض هي القدرة انعوض عن ت
+
+282
+00:19:11,440 --> 00:19:15,720
+باتنين يعني السؤال بيطلع هي تساوي C بـ E تساوي سالب واحد
+
+283
+00:19:15,720 --> 00:19:19,580
+لديك المفروض أن تطلع تلاتة إذا أنت ثابت اضرب الـ او
+
+284
+00:19:19,580 --> 00:19:24,320
+E وستي عشان تخلص منين أو تسلب تيها فبيطلع معنى أن
+
+285
+00:19:24,320 --> 00:19:29,010
+الـ C بيساووا تلاتة بـ E إذا نرجع نكتب الـ runs count
+
+286
+00:19:29,010 --> 00:19:31,870
+one مرة سنتين جواي ونعود على سنتين جواي بصوت تلتة
+
+287
+00:19:31,870 --> 00:19:34,690
+E في E والثالث اتنين على الـ D لأن ممكن نحفظ عن أي
+
+288
+00:19:34,690 --> 00:19:37,250
+قيمة نتلاعب ومافيش مشاكل أي قيمة ممكن نعوض فيها
+
+289
+00:19:37,250 --> 00:19:41,290
+فمثلاً دكتور مثال وده بسؤال أربعة بنعوض في الأربع
+
+290
+00:19:41,290 --> 00:19:44,870
+بتاع جواب تلاتة في E والنص أو تلاتة في جدال الـ E زي
+
+291
+00:19:44,870 --> 00:19:50,990
+أن هذا تطبيق على نظرية قبل تطبيق على نظرية قبل
+
+292
+00:19:50,990 --> 00:19:54,190
+و هذا نجد أن أنا حسبت ثابت بأنه أعطاني هذا الشرط
+
+293
+00:19:58,760 --> 00:20:03,880
+في نهاية هذا الدرس أتمنى لجميع التوفيق شكراً لحسن
+
+294
+00:20:03,880 --> 00:20:08,180
+استماعكم وسنتواصل إن شاء الله في فيديوهات أخرى
+
+295
+00:20:08,180 --> 00:20:11,700
+طبعاً بعمل أنهي عدد معين من الدروس هتعمل إن شاء
+
+296
+00:20:11,700 --> 00:20:16,580
+الله مناقشة ببعتلكم حلول وبعض الأسئلة واستقبل
+
+297
+00:20:16,580 --> 00:20:21,480
+طلباتكم على الـ model إن شاء الله أو صفحة الواتس و
+
+298
+00:20:21,480 --> 00:20:23,060
+السلام عليكم ورحمة الله وبركاته
diff --git a/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/IMPmWEmDZhA_raw.srt b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/IMPmWEmDZhA_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..3de063caaba048247c9434a9e70238cbbde57d3c
--- /dev/null
+++ b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/IMPmWEmDZhA_raw.srt
@@ -0,0 +1,1220 @@
+1
+00:00:03,240 --> 00:00:06,260
+بسم الله الرحمن الرحيم عزيزي الطلاب السلام عليكم
+
+2
+00:00:06,260 --> 00:00:10,520
+ورحمة الله وبركاته في درس جديد من مصادق معادلات
+
+3
+00:00:10,520 --> 00:00:16,460
+بفضلية عادية في الفيديو السابق وصلنا إلى section
+
+4
+00:00:16,460 --> 00:00:23,000
+32 حيث اتعرضنا لمفهوم جديد وهو الرمز can في هذا ال
+
+5
+00:00:23,000 --> 00:00:28,160
+section سندرس علاقة بين رمز can وlinear
+
+6
+00:00:28,160 --> 00:00:31,960
+independence من
+
+7
+00:00:31,960 --> 00:00:37,440
+وين ال section؟تلاتة تلاتة linear independence and
+
+8
+00:00:37,440 --> 00:00:41,640
+Ronskamp زي
+
+9
+00:00:41,640 --> 00:00:45,600
+ما احنا ملاحظين من عنوان ال section هنتعرض لمفهوم
+
+10
+00:00:45,600 --> 00:00:50,220
+جديد هو linear independence ويرتبط به مفهوم اخر هو
+
+11
+00:00:50,220 --> 00:00:54,940
+linear dependent linear بمعنى خطي و independence
+
+12
+00:00:54,940 --> 00:00:58,700
+بمعنى استقلال فندرس الاستقلال الخطي و Ronskamp هو
+
+13
+00:00:58,700 --> 00:01:01,560
+محدد Ronskamp اللي درسناه في section تلاتة اتنين
+
+14
+00:01:02,600 --> 00:01:07,860
+بعد انتهاء من هذه المحاضرة فأهداف المحاضرة زى ما
+
+15
+00:01:07,860 --> 00:01:11,680
+احنا شايفينها حسب المواضيع اللى هندوسها في اسمها
+
+16
+00:01:11,680 --> 00:01:14,620
+اتعرف الطالب على المقصود بـlinear independence
+
+17
+00:01:14,620 --> 00:01:19,440
+مفهومها ومفهوم
+
+18
+00:01:19,440 --> 00:01:24,160
+الـlinear dependence المرتبط بيه اتنين يربط الطالب
+
+19
+00:01:24,160 --> 00:01:28,760
+بين ارونسكان اللى دراسناه في section 32 وlinear
+
+20
+00:01:28,760 --> 00:01:33,110
+independenceتلاتة تطبق الطالب نظرية Apple وهي
+
+21
+00:01:33,110 --> 00:01:36,630
+نظرية مشهورة ومهمة سوف ندرسها في هذا الـ section
+
+22
+00:01:36,630 --> 00:01:44,370
+في حل مسائل متنوعة Definition
+
+23
+00:01:44,370 --> 00:01:49,690
+Two functions f of t and g of t are said to be
+
+24
+00:01:49,690 --> 00:01:53,710
+linearly dependent on an interval I if there exist
+
+25
+00:01:53,710 --> 00:01:56,470
+two constants k1 and k2
+
+26
+00:02:07,110 --> 00:02:10,090
+التعريف هذا بيقول ان انا لو عندي two functions f
+
+27
+00:02:10,090 --> 00:02:14,290
+of t و g of t فبنقول عليهم انهم linearly dependent
+
+28
+00:02:14,290 --> 00:02:18,690
+بيعتمدوا على بعض خطيئة في الفترة I إذا قدرت ألاقي
+
+29
+00:02:18,690 --> 00:02:23,590
+two constants k1 و k2 k1 لا يسوى 0 و k2 لا يسوى 0
+
+30
+00:02:25,610 --> 00:02:29,550
+بحيث ان K1 في F of T زي K2 في G of T بصوّي صفر
+
+31
+00:02:29,550 --> 00:02:36,090
+طبعاً كل K تنتمي للفترة I هذا هو معادلة واحد
+
+32
+00:02:36,090 --> 00:02:40,250
+بيعطينا ان F و G بعتمدوا على بعض خطياً طبعاً نسميه
+
+33
+00:02:40,250 --> 00:02:46,410
+linear combination تجميع خط ممكن تجميع خط بين F و
+
+34
+00:02:46,410 --> 00:02:49,990
+G بحيث يتمتوا بصوّي صفر اجد على لاجئ ال two
+
+35
+00:02:49,990 --> 00:02:55,100
+constants K1 ده يصوي صفر K2 ده يصوي صفربحيث ان K1
+
+36
+00:02:55,100 --> 00:03:00,260
+في F و K2 في G بيسوء سفر وهذا يعني بيعطيني ان ال F
+
+37
+00:03:00,260 --> 00:03:02,920
+والG بيعتمدوا على بعض خطيئة لأن من هذه المعادلة
+
+38
+00:03:02,920 --> 00:03:06,200
+ممكن نكتب ال F في دلعة ال G ممكن احنا ننجل على طرف
+
+39
+00:03:06,200 --> 00:03:11,040
+التاني يصبح نقص K2 في ال G و K1 فبصير ال F تسوء
+
+40
+00:03:11,040 --> 00:03:15,500
+ثابت في ال G و ال G تسوء ثابت في ال F يعني بنلاحظ
+
+41
+00:03:15,500 --> 00:03:19,600
+ان الدلتين بيعتمدوا على بعض خطيئة طب لو انا
+
+42
+00:03:19,600 --> 00:03:23,920
+ماقدرتش ألاجدوكوا نصرهذه المعالجة ففي الحالة هذه
+
+43
+00:03:23,920 --> 00:03:26,340
+المعالجة بيقول عنها الـ f و الـ g are linearly
+
+44
+00:03:26,340 --> 00:03:30,160
+independent فبقول الـ the functions f of t و g of
+
+45
+00:03:30,160 --> 00:03:34,460
+t are said to be linearly independent on an
+
+46
+00:03:34,460 --> 00:03:40,340
+interval I if they are not linearly independent
+
+47
+00:03:40,340 --> 00:03:44,300
+يعني إذا كان مش independent فهو لازم يكون linearly
+
+48
+00:03:44,300 --> 00:03:50,150
+independent إذا لم يتحق هذا الشرط يعني أي كونةهل
+
+49
+00:03:50,150 --> 00:03:53,750
+يجيبهم كواحد و كاتنين بحق و قادر؟ لازم بس الاتنين
+
+50
+00:03:53,750 --> 00:04:02,190
+يكونوا صفار في الحالة الوحيدة فقط فادر هناخد
+
+51
+00:04:02,190 --> 00:04:06,410
+نظرية ساعدنا في ان ندرس او نعرف هل ال function
+
+52
+00:04:06,410 --> 00:04:08,530
+اللي عندى linearly independent ولا independent
+
+53
+00:04:08,530 --> 00:04:12,750
+وهذا الالاقعة برونسكان بنرجع لنفسي على عنوان ال
+
+54
+00:04:12,750 --> 00:04:15,730
+section لان عنوان ال section كما شوفنا بربط بين
+
+55
+00:04:15,730 --> 00:04:22,350
+linearly independent ورونسكانهذه نظرية تلاتة تلاتة
+
+56
+00:04:22,350 --> 00:04:25,910
+واحد نظرية تلاتة تلاتة واحد if f of t and g of t
+
+57
+00:04:25,910 --> 00:04:29,850
+are differentiable functions on any open interval
+
+58
+00:04:29,850 --> 00:04:30,290
+I
+
+59
+00:04:33,200 --> 00:04:37,460
+الرونس كان لف و جي لا يساوي سفر عند نقطة معينة T0
+
+60
+00:04:37,460 --> 00:04:41,380
+for some point T0 تنتمي الـ I then F of T and G of
+
+61
+00:04:41,380 --> 00:04:45,040
+T are linearly independent on an interval I لنظر
+
+62
+00:04:45,040 --> 00:04:48,800
+اللي بتقول ليه؟ عشان أسمي او أقول two functions F
+
+63
+00:04:48,800 --> 00:04:50,880
+of T و G of T are linearly independent على
+
+64
+00:04:50,880 --> 00:04:54,820
+function على interval I لازم يكون الرونس كان تبعهم
+
+65
+00:04:54,820 --> 00:04:58,460
+لا يساوي سفر عند نقطة واحدة نقطة واحدة في الفترة
+
+66
+00:04:58,460 --> 00:05:01,720
+هذه نقطة واحدة في الفترة احسب الرونس كان و لا
+
+67
+00:05:01,720 --> 00:05:07,710
+يساوي سفربالمقابل إذا كان f of t او d of t are
+
+68
+00:05:07,710 --> 00:05:12,510
+linearly dependent على فترة I ، فرنسكانهم سيكونون
+
+69
+00:05:12,510 --> 00:05:18,110
+دائماً Zero فهذه النظرية ستساعدني في أن أفحص هل
+
+70
+00:05:18,110 --> 00:05:20,570
+الـ two functions linearly independent ولا لا بإن
+
+71
+00:05:20,570 --> 00:05:24,250
+أحسب رونسكان ، إذا رونسكان طلع لا يسوء صفر فبقولوا
+
+72
+00:05:24,250 --> 00:05:24,670
+independent
+
+73
+00:05:29,900 --> 00:05:32,840
+النظرية المهمة اللي قلنا عنها في بداية ال section
+
+74
+00:05:32,840 --> 00:05:37,920
+نظرية apples نظرية تلاتة تلاتة اتنين why واحد and
+
+75
+00:05:37,920 --> 00:05:42,880
+why two are two functions two solutions وطبعا ال
+
+76
+00:05:42,880 --> 00:05:48,240
+solutions لازم يكونوا functions فهذا بنفع في حالة
+
+77
+00:05:48,240 --> 00:05:53,280
+ال functionsY1 وY2 هما اتجارات الاختصارات
+
+78
+00:05:53,280 --> 00:05:57,180
+الاختصارات الاختصارات الاختصارات الاختصارات
+
+79
+00:05:57,180 --> 00:06:11,920
+الاختصارات الاختصارات الاختصارات
+
+80
+00:06:12,040 --> 00:06:15,440
+سوى ثابت مضروف في الـ exponential لسالب تكامل P of
+
+81
+00:06:15,440 --> 00:06:19,620
+T لT حيث بي هي معامل Y' عندما تكون معامل Y double
+
+82
+00:06:19,620 --> 00:06:24,060
+prime واحد فالنظرية بتساعدني في أن أحسب الوانات
+
+83
+00:06:24,060 --> 00:06:26,640
+كانت ال two solutions بدون معرفة من هم ال
+
+84
+00:06:26,640 --> 00:06:30,260
+solutions لكن بيكون الجواب فيه أو الوانات كانت فيه
+
+85
+00:06:30,260 --> 00:06:36,080
+ثابت ثابت هذا هو Z is a constant يعتمد على Y واحد
+
+86
+00:06:36,080 --> 00:06:43,080
+وY اتنين ولا يعتمد على Tهذه نظرية ابل مهمة بقدر من
+
+87
+00:06:43,080 --> 00:06:46,240
+خلالها احسب رونسكا الحاليين بدون معرفة منهم
+
+88
+00:06:46,240 --> 00:06:49,680
+الحاليين وحنشوف انها تطبيقات عديدة ومثلية عديدة في
+
+89
+00:06:49,680 --> 00:06:54,620
+هذه ال section ملاحظة
+
+90
+00:06:54,620 --> 00:06:57,360
+من السابق ان رونسكا زي ما قلنا احنا في الشريحة
+
+91
+00:06:57,360 --> 00:06:59,940
+السابقة بيسوي سابت في ال exponential واحنا عارفين
+
+92
+00:06:59,940 --> 00:07:02,240
+ان ال exponential ما بيسوي السفر فرنساكا كان حجم
+
+93
+00:07:02,240 --> 00:07:07,100
+اتنينلا يساوي السفر أو لا يساوي السفر هو يساوي
+
+94
+00:07:07,100 --> 00:07:09,440
+السفر فقط في حالة واحدة إذا كان السابق نفس السفر
+
+95
+00:07:09,440 --> 00:07:12,060
+لأن لو كان السابق السفر و الـ exponential أحنا
+
+96
+00:07:12,060 --> 00:07:16,340
+عارفين درسنا قبل مواد زي تفاضل D أمره ما بيساوي
+
+97
+00:07:16,340 --> 00:07:18,920
+السفر لأنه دايما ال range عندك في الفترة المفتوحة
+
+98
+00:07:18,920 --> 00:07:22,360
+من السفر لما لنهاية كان أكبر من السفر فلو كان
+
+99
+00:07:22,360 --> 00:07:25,560
+السابق لا يساوي السفر فالـ C ليه لا تساوي السفر في
+
+100
+00:07:25,560 --> 00:07:27,700
+الـ exponential ممكن أنه يساوي السفر لأن الورس كان
+
+101
+00:07:27,700 --> 00:07:30,260
+هيساوي السفر في حالة واحدة إذا كان السابق يساوي
+
+102
+00:07:30,260 --> 00:07:30,560
+السفر
+
+103
+00:07:35,130 --> 00:07:39,230
+بناخد مثال على استخدام نظرية abel مثال واحد assume
+
+104
+00:07:39,230 --> 00:07:42,130
+that y واحد بيسووا t والنص and y اتنين بيسووا t
+
+105
+00:07:42,130 --> 00:07:44,550
+والسلب واحد are solutions of the differential
+
+106
+00:07:44,550 --> 00:07:48,870
+equation نين تي ترفيع y w prime ثلاثة تي y prime
+
+107
+00:07:48,870 --> 00:07:53,630
+نقص y بيسووا صفر و تي أكبر من صفر use abel's
+
+108
+00:07:53,630 --> 00:08:01,140
+theorem to find the constant cهو في المعادلة
+
+109
+00:08:01,140 --> 00:08:05,340
+الأولى طبعا هانا هنسيب نورسكان لـ two solutions
+
+110
+00:08:05,340 --> 00:08:09,300
+طريقتين الطريقة درسناها في ال section السابق على
+
+111
+00:08:09,300 --> 00:08:12,980
+أننا نحسب المحدد وطريقة دي هو section حادة
+
+112
+00:08:12,980 --> 00:08:15,240
+باستخدام نظر التقابل طبعا في نظر التقابل سيكون فيه
+
+113
+00:08:15,240 --> 00:08:18,900
+ثابت هنساوي اللي هو الجوابين مع بعض وبالتالي هنحسب
+
+114
+00:08:18,900 --> 00:08:22,240
+الثابت C عشان نستخدم نظر التقابل في الأول لازم
+
+115
+00:08:22,240 --> 00:08:28,990
+نجيب P of T وهو المعاملY' مقصود على معامل YW' او
+
+116
+00:08:28,990 --> 00:08:32,590
+نخلّي معامل YW' يسوء واحد نجسم عليه فبطلع تلاتة T
+
+117
+00:08:32,590 --> 00:08:35,290
+على اتنين T تابعي يعني تلاتة على اتنين T كما احنا
+
+118
+00:08:35,290 --> 00:08:38,890
+شايفين نفسنا اتقبل بيقول ان الناس كانت بيساوي سالك
+
+119
+00:08:38,890 --> 00:08:42,630
+و exponential لسالك تنسوش السالك تكامل P of T لT
+
+120
+00:08:42,630 --> 00:08:45,930
+ويساوي C في exponential تكامل ها P of T ونحسب
+
+121
+00:08:45,930 --> 00:08:49,810
+التكامل ونستخدم حواصل لغة Math اللي بيطلع على
+
+122
+00:08:49,810 --> 00:08:54,550
+الجواب C في T وسالك تلاتة على اتنينهذا هو قيمة
+
+123
+00:08:54,550 --> 00:09:01,710
+رونسكيان باستخدام نظر قبل طيب لو اتعنى اللي هو
+
+124
+00:09:01,710 --> 00:09:06,450
+باستخدام المحدد رونسكيان هاي انا بحط او في الصفة
+
+125
+00:09:06,450 --> 00:09:09,630
+الأول two functions او two solutions وانا مش لقى
+
+126
+00:09:09,630 --> 00:09:12,330
+الأولة كل واحد نحسبها و بطلع حقي الجواب بالمقارنة
+
+127
+00:09:12,330 --> 00:09:15,050
+بين الجوابين واضح ان C لازم يسوي سالب تلاتة ع
+
+128
+00:09:15,050 --> 00:09:18,400
+اتنين اذا اننا حسبنا رونسكيان بطريقتينتلاحظوا
+
+129
+00:09:18,400 --> 00:09:21,820
+بالنسبة للنظرية قبل احنا حساب ال roles كان طبعا
+
+130
+00:09:21,820 --> 00:09:24,080
+بعتمد على ثابت بدون ما نعرف مين هم الحالين لكن
+
+131
+00:09:24,080 --> 00:09:26,780
+طريقة المحدث لازم يكون عارف مين هم الحالين وهذه هي
+
+132
+00:09:26,780 --> 00:09:29,980
+الفعيدة الكبيرة اللي قدرت قبل انه انا بجيب ال
+
+133
+00:09:29,980 --> 00:09:32,860
+roles كان بدون ما .. للحالين بدون ما اعرفهم لأنه
+
+134
+00:09:32,860 --> 00:09:35,100
+بعتمد على ثابت الثابت هذا نفسه زي ما قلنا في
+
+135
+00:09:35,100 --> 00:09:38,460
+النظرية بعتمد على الحالين مقدرش احسبه الا اعرف
+
+136
+00:09:38,460 --> 00:09:42,200
+الحالين او ببعض المعلومات زي ما هشوف تطبيقات اخرى
+
+137
+00:09:42,200 --> 00:09:51,880
+على هذه النقطة تشوفنظرية جديدة نظرية
+
+138
+00:09:51,880 --> 00:09:59,420
+تلاتة تلاتة تلاتة تلاتة تلاتة
+
+139
+00:09:59,420 --> 00:10:10,760
+تلاتة
+
+140
+00:10:10,760 --> 00:10:15,600
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+141
+00:10:15,600 --> 00:10:15,600
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+142
+00:10:15,600 --> 00:10:15,600
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+143
+00:10:15,600 --> 00:10:15,600
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+144
+00:10:15,600 --> 00:10:15,600
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+145
+00:10:15,600 --> 00:10:16,460
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تبتقول
+
+146
+00:10:16,460 --> 00:10:21,080
+ان هناك تكافأة لو كان لدي بي و U continuous
+
+147
+00:10:21,080 --> 00:10:24,260
+functions وY1 وY2 الـR linearly dependent
+
+148
+00:10:24,260 --> 00:10:26,780
+solutions بقول عن حاليات الـ independent solutions
+
+149
+00:10:26,780 --> 00:10:30,160
+إذا كان الوصف انتباههم بساوي Zero إذا هذا بتديني
+
+150
+00:10:30,160 --> 00:10:34,580
+أقوم بالنظرية السابقة اللي كانت تلاتة تلاتة واحد
+
+151
+00:10:34,580 --> 00:10:41,780
+انه لو كان لدي two solutions two
+
+152
+00:10:41,780 --> 00:10:46,250
+solutions Y1 وY2 الـR linearly dependent on Iهذا
+
+153
+00:10:46,250 --> 00:10:48,870
+هو فقط إذا كان الروز كان مسوء zero فبالتالي إذا
+
+154
+00:10:48,870 --> 00:10:51,090
+أنا كان لدي two solutions linearly independent
+
+155
+00:10:51,090 --> 00:10:54,070
+فلازم يكون الروز مسوء صفر و بالمقابل إذا كان الروز
+
+156
+00:10:54,070 --> 00:10:57,950
+مسوء صفر فهو مسوء linearly independent طبعا احنا
+
+157
+00:10:57,950 --> 00:11:01,110
+لو أخدنا من نهار يضيئنا في الجملة الأولى يكافئنا
+
+158
+00:11:01,110 --> 00:11:03,970
+في الجملة التالية ما هو نفي الجملة الأولى الواحد
+
+159
+00:11:03,970 --> 00:11:06,530
+واحد واثنين are linearly independent يكافئنا ان
+
+160
+00:11:06,530 --> 00:11:11,190
+الروز كان not zero لأ مسوء zero هذه مكتوبة
+
+161
+00:11:11,190 --> 00:11:16,560
+alternatively بالمقابلy1 and y2 are linearly
+
+162
+00:11:16,560 --> 00:11:19,960
+independent on I if and only if the error scan is
+
+163
+00:11:19,960 --> 00:11:20,920
+never zero
+
+164
+00:11:42,050 --> 00:11:45,650
+هذه الشريعة مهمة لأنها متلخصة لكل المعلومات اللي
+
+165
+00:11:45,650 --> 00:11:48,630
+أخدناها في نظريات السابقة على الـ Runners Can و
+
+166
+00:11:48,630 --> 00:11:53,010
+الـ Independents We can summarize the facts about
+
+167
+00:11:53,010 --> 00:11:55,570
+fundamental set of solutions الـ Fundamental set
+
+168
+00:11:55,570 --> 00:11:59,970
+of solutions دلوقتي تلاتة اتنين لازم ال solutions
+
+169
+00:11:59,970 --> 00:12:01,990
+اللي عندي يكون الـ Runners Can تواحم لا يساوي Zero
+
+170
+00:12:01,990 --> 00:12:05,570
+و الـ Runners Can هذا كله تلاتة اتنين و اللي
+
+171
+00:12:05,570 --> 00:12:08,710
+أخدناه في الsection الحالي Linear Independence مع
+
+172
+00:12:08,710 --> 00:12:12,820
+الـ Runners Canأيش بتقول الملخص؟ لو أنا كان عندي
+
+173
+00:12:12,820 --> 00:12:15,860
+حللة الـY1 وY2 بـ2 solutions of the differential
+
+174
+00:12:15,860 --> 00:12:20,020
+equation where P of T and Q of T are continuous on
+
+175
+00:12:20,020 --> 00:12:24,280
+an open interval I then the following statements
+
+176
+00:12:24,280 --> 00:12:27,420
+are equivalent الجمهور الأربع دي كله مضكافة وهذا
+
+177
+00:12:27,420 --> 00:12:30,020
+الملخص اللي درسناه من الحقائق على الـRoller Scan
+
+178
+00:12:30,020 --> 00:12:33,400
+والـfundamental solutions والـindependency
+
+179
+00:12:33,400 --> 00:12:36,860
+والـdependency اللي هو section تلاتة اثنين وتلاتة
+
+180
+00:12:36,860 --> 00:12:39,960
+تلاتة ايش بيقول الأول حاجة؟أنا بقول فيه يعني
+
+181
+00:12:39,960 --> 00:12:42,340
+الأربع طبعا زي ما اقول أربع جملة متكافئة الجملة
+
+182
+00:12:42,340 --> 00:12:48,080
+الأولى the functions y1 وy2 are fundamental set of
+
+183
+00:12:48,080 --> 00:12:51,540
+solutions on I يعني بقول عن y1 وy2 are fundamental
+
+184
+00:12:51,540 --> 00:12:57,780
+solutions هذا يكافئ ان y1 وy2 are linearly
+
+185
+00:12:57,780 --> 00:13:03,480
+independent وهذا يكافئ ان neurons can زي ما أخدناه
+
+186
+00:13:03,480 --> 00:13:07,200
+في النظرية السابقة تلاتة تلاتة تلاتةالنيرونات كانت
+
+187
+00:13:07,200 --> 00:13:11,520
+لا يساوي 0 for some point طبعا دراسة نيرونات كانت
+
+188
+00:13:11,520 --> 00:13:16,300
+دائما بيساوي سفر أو لا يساوي سفر و هذا يكافئ أن
+
+189
+00:13:16,300 --> 00:13:20,240
+نيرونات كانت لا يساوي 0 دائما لأن نيرونات كانت
+
+190
+00:13:20,240 --> 00:13:24,440
+يساوي ثابت في exponential و يساوي سفر إذا كان ثابت
+
+191
+00:13:24,440 --> 00:13:28,980
+سفر فلو كان الثابت لا يساوي سفر فهذا يكافئ أنه لا
+
+192
+00:13:28,980 --> 00:13:32,020
+يساوي سفر مش عنده واحد فقط دائما لأن هذا أربعة
+
+193
+00:13:32,020 --> 00:13:37,850
+جمال متكافئةلو كان y1 و y2 هم الاصطناعي الاصطناعي
+
+194
+00:13:37,850 --> 00:13:42,170
+الاصطناعي الاصطناعي الاصطناعي
+
+195
+00:13:42,170 --> 00:13:43,050
+الاصطناعي الاصطناعي الاصطناعي الاصطناعي الاصطناعي
+
+196
+00:13:43,050 --> 00:13:43,390
+الاصطناعي الاصطناعي الاصطناعي الاصطناعي الاصطناعي
+
+197
+00:13:43,390 --> 00:13:44,890
+الاصطناعي الاصطناعي الاصطناعي الاصطناعي الاصطناعي
+
+198
+00:13:44,890 --> 00:13:45,330
+الاصطناعي الاصطناعي الاصطناعي الاصطناعي الاصطناعي
+
+199
+00:13:45,330 --> 00:13:47,310
+الاصطناعي الاصطناعي الاصطناعي الاصطناعي الاصطناعي
+
+200
+00:13:47,310 --> 00:13:55,690
+الاصطناعي الاصطناعي الاصطناعي الاصطناعي الاصطناعي
+
+201
+00:13:55,690 --> 00:14:01,630
+الاصطنانفس الشيء ، بأتأكد من مخدراتنا أنه شرطياً
+
+202
+00:14:01,630 --> 00:14:04,810
+شرط الأول يكون لازم solutions بالتعويض ثاني حاجة
+
+203
+00:14:04,810 --> 00:14:08,690
+بحسب الرونسكان تبعهم أنه لا يساوي zero لما قلنا
+
+204
+00:14:08,690 --> 00:14:13,890
+لأنه واخدنا في section تلاتة اتنين ان الرونسكان ال
+
+205
+00:14:13,890 --> 00:14:16,950
+fundamental solution لازم لا يساوي zero واخدنا في
+
+206
+00:14:16,950 --> 00:14:19,890
+ال section هذا انه لو كان الرونسكان لا يساوي zero
+
+207
+00:14:19,890 --> 00:14:22,330
+فهو بيكون linearly independent ولو كان الـ
+
+208
+00:14:22,330 --> 00:14:24,730
+linearly independent فرونسكان لا يساوي zero
+
+209
+00:14:28,030 --> 00:14:33,170
+نتقل الآن لتطبيقات على Instruction في example 2 هو
+
+210
+00:14:33,170 --> 00:14:36,350
+عبارة عن question 4 في ال tab determine whether
+
+211
+00:14:36,350 --> 00:14:38,730
+the following functions are linearly independent
+
+212
+00:14:38,730 --> 00:14:41,830
+or linearly dependent طبعاً في عدة functions احنا
+
+213
+00:14:41,830 --> 00:14:45,190
+خدناها كمثال هذه ال functions f of t تسوء e في
+
+214
+00:14:45,190 --> 00:14:48,530
+تلاتة x وd of x تسوء e في تلاتة x نقص واحد واضح
+
+215
+00:14:48,530 --> 00:14:51,390
+انه تتبع تبدو ع بعض لإن انا ممكن اكتب d of x افكت
+
+216
+00:14:51,390 --> 00:14:54,050
+الفجر ال exponential of e في تلاتة x في e والسلب
+
+217
+00:14:54,050 --> 00:14:56,970
+واحد اذا تسوء الزابد في f of x يعني تبدو عبارة
+
+218
+00:14:56,970 --> 00:15:01,270
+خطيئةلأن هو واضح و سهل ، لأن لو كانت أكتر متعقيدا
+
+219
+00:15:01,270 --> 00:15:05,550
+صعب ليس أن أجيب عطول مباشرة فرونسكا بريحني كتير في
+
+220
+00:15:05,550 --> 00:15:08,690
+كل حساباتها دي سواء كانت بسيطة زي مثلنا أو أصعب
+
+221
+00:15:08,690 --> 00:15:12,210
+فرغبنا احنا عشان نحفظ هل هي independent او لا
+
+222
+00:15:12,210 --> 00:15:16,050
+dependent احسب رونسكا هاي اللي عند الدولة اللي مش
+
+223
+00:15:16,050 --> 00:15:20,610
+تقر و لا لما حصلتون طلبنا اللي هو القتر الرئيسي
+
+224
+00:15:20,610 --> 00:15:24,190
+نفس القتر التاني وحصلنا فطلع الجواب سفر فطلع السفر
+
+225
+00:15:24,840 --> 00:15:27,780
+سنة و نصف كانت سفر فبالتالي بيكون ال two functions
+
+226
+00:15:27,780 --> 00:15:31,320
+are linearly independent طبعا لو طلع له يسوي سفر
+
+227
+00:15:31,320 --> 00:15:35,220
+independent فعملية بسيطة وسهلة كما تشايفين و أريح
+
+228
+00:15:35,220 --> 00:15:39,720
+من انه نقعد ندور على ثوابت سوار ولا مش سوار على
+
+229
+00:15:39,720 --> 00:15:42,300
+طول بانه نصف كانت طبعا هذا برضه نفس الكلام اللي
+
+230
+00:15:42,300 --> 00:15:44,920
+هتوفر في الشهر ترجع يكون درجة أعلى ولا مش two
+
+231
+00:15:44,920 --> 00:15:48,520
+functions أو ثلاثة functions او أكتر ان شاء الله
+
+232
+00:15:48,520 --> 00:15:55,310
+روح لتطبيق على rateableطالب من فاندا رونسكان هذا
+
+233
+00:15:55,310 --> 00:16:01,330
+مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا
+
+234
+00:16:01,330 --> 00:16:05,830
+مثلا
+
+235
+00:16:05,830 --> 00:16:06,690
+مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا
+
+236
+00:16:06,690 --> 00:16:06,710
+مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا
+
+237
+00:16:06,710 --> 00:16:07,010
+مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا
+
+238
+00:16:07,010 --> 00:16:07,030
+مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا
+
+239
+00:16:07,030 --> 00:16:07,230
+مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا
+
+240
+00:16:07,230 --> 00:16:07,230
+مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا
+
+241
+00:16:07,230 --> 00:16:07,430
+مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا
+
+242
+00:16:07,430 --> 00:16:10,830
+مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا
+
+243
+00:16:10,830 --> 00:16:19,810
+مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا مثلا
+
+244
+00:16:19,810 --> 00:16:23,030
+مثلا مثلا مثلا مثلا مثلا مثلا مثلاهي تُرسل يوشيز
+
+245
+00:16:23,030 --> 00:16:25,610
+من نفس الـ differential equation ماعلي اللي هي بيو
+
+246
+00:16:25,610 --> 00:16:28,630
+في X وطلعت بيو X تساوي سالب اتنين X على واحد نقص
+
+247
+00:16:28,630 --> 00:16:34,210
+التربيع ونحن نعوض
+
+248
+00:16:34,210 --> 00:16:39,250
+ونحسب وبطلع معناه اللي هو هاي القاعدة اللي خدناها
+
+249
+00:16:39,250 --> 00:16:41,830
+طبعا انا عندي ان ال function في X فانعوضت في X
+
+250
+00:16:41,830 --> 00:16:49,050
+وحسبناها وهي بطلع قيمة ال رونسكان طبعا هي مجهولة
+
+251
+00:16:49,050 --> 00:16:53,530
+عند السابت C زي ما قلنا هذا يعتمد علىاللي هو الحل
+
+252
+00:16:53,530 --> 00:16:56,070
+طبعا مافنعرف مش الحلين فهذا التابع اللي عايز هو
+
+253
+00:16:56,070 --> 00:16:59,570
+اعطاني معلومة وده هنشوفه ان شاء الله بعد شوية في
+
+254
+00:16:59,570 --> 00:17:04,490
+سؤال تطبيق جمال آخر على جريد قبل ومرتد زيه في
+
+255
+00:17:04,490 --> 00:17:10,890
+امتحانات هذه السؤال مرتد امتحانات السابقة مديني
+
+256
+00:17:10,890 --> 00:17:16,550
+اللي هو سؤال 21 في الكتاب صفحة 158FY1 and Y2 are
+
+257
+00:17:16,550 --> 00:17:21,050
+linearly independent solutions
+
+258
+00:17:21,050 --> 00:17:29,610
+فهي معادلة تفضلية وهي معادلة تفضلية وهي معادلة
+
+259
+00:17:29,610 --> 00:17:34,010
+تفضلية وهي معادلة تفضلية وهي معادلة تفضلية وهي
+
+260
+00:17:34,010 --> 00:17:35,430
+معادلة تفضلية وهي معادلة تفضلية وهي معادلة تفضلية
+
+261
+00:17:35,430 --> 00:17:35,550
+وهي معادلة تفضلية وهي معادلة تفضلية وهي معادلة
+
+262
+00:17:35,550 --> 00:17:35,550
+تفضلية وهي معادلة تفضلية وهي معادلة تفضلية وهي
+
+263
+00:17:35,550 --> 00:17:35,550
+معادلة تفضلية وهي معادلة تفضلية وهي معادلة تفضلية
+
+264
+00:17:35,550 --> 00:17:36,170
+وهي معادلة تفضلية وهي معادلة تفضلية وهي معادلة
+
+265
+00:17:36,170 --> 00:17:40,430
+تفضلية وهي معادلة تفضلية وهي معادلة تفضلية وهي مع
+
+266
+00:17:42,800 --> 00:17:46,400
+هيوغو جيبنا رونسكان نفس الفطوار جيبنا بيف اكس وحسب
+
+267
+00:17:46,400 --> 00:17:49,040
+ان رونسكان طالع فيه ثابت ماهي بقدر اعمل اجيب
+
+268
+00:17:49,040 --> 00:17:51,640
+التابع لازم اكون عندى معلومات مجهور بدي اكوّل
+
+269
+00:17:51,640 --> 00:17:55,120
+معادلة طب هل اما باعطينا اللي هو زي ما اخدنا في
+
+270
+00:17:55,120 --> 00:17:57,740
+المثال السابق باعطينا تحليين و بحسب رونسكان تبعهم
+
+271
+00:17:57,740 --> 00:18:00,540
+بالطريقة المحددة و بصويهم زي ما اخدنا في المثال
+
+272
+00:18:00,540 --> 00:18:09,550
+السابق درس او حاليا ان انابعطيك المعلومة انه انت
+
+273
+00:18:09,550 --> 00:18:12,090
+ثابت وانت بعد ما تجيب الرمز بتاعه وفيه ثابت عشان
+
+274
+00:18:12,090 --> 00:18:15,110
+تجيبه انه قيمة الدالة عند اتنين هي دالة بساوي
+
+275
+00:18:15,110 --> 00:18:17,950
+تلاتة فبنحسب منها الثالث C هي بيصير النسكين
+
+276
+00:18:17,950 --> 00:18:21,150
+المعروف والثابت معروف وممكن بعديك اعوض في اي نقطة
+
+277
+00:18:21,150 --> 00:18:25,330
+يعني فس يكون ممكن اعوض فيها في المجال اللي هو
+
+278
+00:18:25,330 --> 00:18:31,270
+النسكين النفسه بطلع زي ما انتوا شايفين دالةأول
+
+279
+00:18:31,270 --> 00:18:34,410
+حاجة بحسب النظرية بجيب P of T P of T تساوي سالب
+
+280
+00:18:34,410 --> 00:18:39,750
+اتنين على T تربيع و بنحسب ان اذا كان القانون تنتج
+
+281
+00:18:39,750 --> 00:18:45,710
+سالب شباب ان سالب اتنين على T تربيع حالة من نفس
+
+282
+00:18:45,710 --> 00:18:50,030
+البيع فهنا فيه سالب من القانون فالسالب مع السالب
+
+283
+00:18:50,030 --> 00:18:53,470
+بروحه بيصير اتنين على T تربيعه من كامل اي
+
+284
+00:18:53,470 --> 00:18:56,450
+exponential E والسالب اتنين على T هنا فيه سالب
+
+285
+00:18:58,180 --> 00:19:01,960
+فبطلع انه لو اتعدى رونسكا نيجا خلصنا زي اسم التلات
+
+286
+00:19:01,960 --> 00:19:04,520
+السابق لو مافيش معلومات جديدة عن الاندي زي ما
+
+287
+00:19:04,520 --> 00:19:07,600
+مديني هنا خلاص اتحال جوابك انها بيقول ان رونسكا
+
+288
+00:19:07,600 --> 00:19:11,440
+عند اتنين بيسووا تلاتة فانعوض هى القدرة انعوض عن ت
+
+289
+00:19:11,440 --> 00:19:15,720
+باتنين يعني السؤال بيطلع هيه تسوى C بE تسلب واحد
+
+290
+00:19:15,720 --> 00:19:19,580
+لديك المفروض ان تطلع تلاتة اذا انت ثابت اضرب ال او
+
+291
+00:19:19,580 --> 00:19:24,320
+E وستي عشان تخلص منين او تسلب تيها فبطلع معنى ان
+
+292
+00:19:24,320 --> 00:19:29,010
+ال C بيسووا تلاتة بEأذا نرجع نكتب الـ runs count
+
+293
+00:19:29,010 --> 00:19:31,870
+one مرة سنتين جواي ونعود على سنتين جواي بصوت تلتة
+
+294
+00:19:31,870 --> 00:19:34,690
+E في E والثالث اتنين على ال D لأن ممكن نحفظ عن اي
+
+295
+00:19:34,690 --> 00:19:37,250
+قيمة نتلاعظ ومافيش مشاكل اي قيمة ممكن نعوض فيها
+
+296
+00:19:37,250 --> 00:19:41,290
+فمثلا دكتور مثال وده بسؤال أربع بنعوض في الأربع
+
+297
+00:19:41,290 --> 00:19:44,870
+بتاع جواب تلتة في E والنص او تلتة في جدال ال E زي
+
+298
+00:19:44,870 --> 00:19:50,990
+ان هذا تطبيق على نظرية قبل تطبيق على نظرية قبل
+
+299
+00:19:50,990 --> 00:19:54,190
+وهذا نجد ان انا حسبت ثابت بأنه أعطاني هذا الشرط
+
+300
+00:19:58,760 --> 00:20:03,880
+في نهاية هذا الدرس اتمنى لجميع التوفيق شكرا لحسن
+
+301
+00:20:03,880 --> 00:20:08,180
+اسمماعكم وسنتواصل ان شاء الله في فيديوهات اخرى
+
+302
+00:20:08,180 --> 00:20:11,700
+طبعا بعمل انهي عدد معين من الدروس هتعمل ان شاء
+
+303
+00:20:11,700 --> 00:20:16,580
+الله مناقشة ببعتلكم حلول و بعض الأسئلة و استقبل
+
+304
+00:20:16,580 --> 00:20:21,480
+طلباتكم على ال model ان شاء الله او صفحة الواتس و
+
+305
+00:20:21,480 --> 00:20:23,060
+السلام عليكم ورحمة الله وبركاته
+
diff --git a/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/I_YkIO7zzK4_postprocess.srt b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/I_YkIO7zzK4_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..3593bd7c7e2a02b8895e9ab513f018c4858f4b89
--- /dev/null
+++ b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/I_YkIO7zzK4_postprocess.srt
@@ -0,0 +1,656 @@
+1
+00:00:01,620 --> 00:00:04,580
+بسم الله الرحمن الرحيم عزيزي الطلاب السلام عليكم
+
+2
+00:00:04,580 --> 00:00:07,760
+ورحمة الله وبركاته في هذا الفيديو سنشرح ان شاء
+
+3
+00:00:07,760 --> 00:00:10,960
+الله اخر نقطة في chapter 2 اللي هو الكلام عن
+
+4
+00:00:10,960 --> 00:00:14,820
+معادلات أفضل من درجة الأولى لكن فيها جزئية تتكلم
+
+5
+00:00:14,820 --> 00:00:18,480
+عن معادلات من درجة التانية لكنها معادلات خاصة يمكن
+
+6
+00:00:18,480 --> 00:00:21,580
+تحويلها لمعادلات من درجة الأولى فعندنا هذه النقطة
+
+7
+00:00:21,580 --> 00:00:26,460
+موجودة في نهاية chapter 2 اللي هو عندنا بتتكلم عن
+
+8
+00:00:26,460 --> 00:00:30,240
+some special second order equationsبعض المعادلات
+
+9
+00:00:30,240 --> 00:00:33,640
+التفضلية الخاصة من درجة التانية اللتي نحلها بقى ان
+
+10
+00:00:33,640 --> 00:00:36,080
+نحولها معادلة من درجة الأولى في نوع عين احنا
+
+11
+00:00:36,080 --> 00:00:40,180
+ناخدهم النوع الأول equation with the dependent
+
+12
+00:00:40,180 --> 00:00:43,200
+variable missing يعني انا بتكون عندى معادلة تفضلية
+
+13
+00:00:43,200 --> 00:00:47,540
+من درجة التانية لكن ال dependent variable عندها
+
+14
+00:00:47,540 --> 00:00:51,400
+غير موجود احنا بنعرف ان معادلة تفضلية من درجة
+
+15
+00:00:51,400 --> 00:00:54,120
+التانية هتكون في عند ال dependent variable Y
+
+16
+00:00:54,120 --> 00:00:58,700
+المستقل التاني هتكون يظهر في الطرف اليمين
+
+17
+00:01:02,180 --> 00:01:06,800
+هتكون المشتقة end بالنسبة للـ Y بدرجة تانية و
+
+18
+00:01:06,800 --> 00:01:10,280
+هتظهر المفروض ان الطرف اللي بيننا هو ال dependent
+
+19
+00:01:10,280 --> 00:01:14,460
+variable و ال dependent variable Y و Y' لكن هان
+
+20
+00:01:14,460 --> 00:01:17,180
+اتلاحظوا ان ال Y مش موجود في ال dependent variable
+
+21
+00:01:17,180 --> 00:01:20,540
+فهان ال dependent variable missing فكرة التحويلة
+
+22
+00:01:20,540 --> 00:01:23,920
+ان نحولها بتطوير معينة لمعادلة من الدرجة الأولى
+
+23
+00:01:23,920 --> 00:01:29,160
+كالاتي نفترض ان ال V يسوء Y'فبالتالي اللي هو لحظة
+
+24
+00:01:29,160 --> 00:01:33,600
+و أنا V Function يسوي Y' Y' هي مستقل Y بالنسبة
+
+25
+00:01:33,600 --> 00:01:37,220
+لـIndependent Variable T هتكون V Function في الـT
+
+26
+00:01:37,220 --> 00:01:42,040
+فلما أجيب مشتقة الـV V' هتطلع مشتقة تانية للـY YW'
+
+27
+00:01:42,400 --> 00:01:46,780
+يعني اوضه معادلة واحد و بيصير YW' هحط لها V' فبصير
+
+28
+00:01:46,780 --> 00:01:49,520
+V' بيسوي Function في T اللي هو الـIndependent
+
+29
+00:01:49,520 --> 00:01:52,700
+Variable V لحظة و أنا رقم اتنين هي معادلة من درجة
+
+30
+00:01:52,700 --> 00:01:56,260
+U لفيها Independent Variable V وفيها Independent
+
+31
+00:01:56,260 --> 00:02:00,040
+Variable Tوهذه بنحلها بأحد الأطول اللي درسناها في
+
+32
+00:02:00,040 --> 00:02:04,260
+الشرطة وبعد ذلك و الآخر هنجيب احنا V function في
+
+33
+00:02:04,260 --> 00:02:09,340
+ال T ونعود على نفسنا مثلا ل Y' ونكمل نتيجة كم مرة
+
+34
+00:02:09,340 --> 00:02:16,460
+زي ما وضعت في الشرح الأسفل المعادل لقم 2 هناخد
+
+35
+00:02:16,460 --> 00:02:20,500
+مثال هنا فالأول مثل على الحالة هذهالبداية الأولية
+
+36
+00:02:20,500 --> 00:02:26,180
+بيقول ان لو سؤال 6.30 صفحة 133 ناخد المعارف اللي
+
+37
+00:02:26,180 --> 00:02:30,560
+قدامنا T²Y''2TY''
+
+38
+00:02:30,560 --> 00:02:34,200
+-1 بساوي 0 نلاحظ ان المعارف الفاضلية من درجة
+
+39
+00:02:34,200 --> 00:02:38,140
+التانية فيها Y'' موجود طبعا عشان من درجة التانية
+
+40
+00:02:38,140 --> 00:02:41,500
+وY'' موجود وIndependent variable T موجود لكن انا
+
+41
+00:02:41,500 --> 00:02:44,440
+عندي اللي هو Independent variable Y مش موجود،
+
+42
+00:02:44,440 --> 00:02:47,480
+missing، مفقود فهذا كان الحل اللي عنا احنا حاولناه
+
+43
+00:02:47,480 --> 00:02:52,110
+درجة الأولىنفترض V بسوء Y' فبصير عندنا V' هو Y
+
+44
+00:02:52,110 --> 00:02:54,770
+دبّل V' نعوض في المعادلة بصير عندنا المعادلة بصورة
+
+45
+00:02:54,770 --> 00:02:58,790
+T دربيع V' زي 2TV نقص واحد بسوء Zero وهذه معادلة
+
+46
+00:02:58,790 --> 00:03:03,630
+درجة الأولى بنخلي V' في الطرف هذه المعادلة الواحد
+
+47
+00:03:03,630 --> 00:03:06,390
+وندسه معادلة تربيع وننزل للسالق واحد على اليمين
+
+48
+00:03:06,390 --> 00:03:09,230
+ونصير بالصورة هذه واتلاعظوا أن هذه معادلة من درجة
+
+49
+00:03:09,230 --> 00:03:14,430
+الأولى خطية Linearوهي الـ Dependent Variable V و
+
+50
+00:03:14,430 --> 00:03:16,230
+الـ Dependent Variable T بحلول زي اللي درستها في
+
+51
+00:03:16,230 --> 00:03:19,510
+أول موضوع P of T هو معامل P هو اتنين على T وG of T
+
+52
+00:03:19,510 --> 00:03:21,130
+هو واحدة ترديع P of T هو واحدة ترديع P of T هو
+
+53
+00:03:21,130 --> 00:03:24,030
+واحدة ترديع P of T هو واحدة ترديع P of T هو واحدة
+
+54
+00:03:24,030 --> 00:03:24,650
+ترديع P of T هو واحدة ترديع P of T هو واحدة ترديع
+
+55
+00:03:24,650 --> 00:03:26,150
+P of T هو واحدة ترديع P of T هو واحدة ترديع P of T
+
+56
+00:03:26,150 --> 00:03:31,470
+هو واحدة ترديع P of T هو واحدة ترديع P of T هو
+
+57
+00:03:31,470 --> 00:03:37,110
+واحدة ترديع P of T هو واحدة ترديع P of T هو واحدة
+
+58
+00:03:37,110 --> 00:03:44,430
+ترديعهكذا حلنا بالخطوة الأخيرة نعود لـ y' نحن
+
+59
+00:03:44,430 --> 00:03:49,290
+بإمكاننا ان نجيب y بالكامل طرف الجميل هذا لغزو في
+
+60
+00:03:49,290 --> 00:03:51,710
+هذه المعادلة بيطلع عندى دائما two constants لأنه
+
+61
+00:03:51,710 --> 00:03:57,310
+على درجة الثانية يعني c1 وc2 الحلقة التانية
+
+62
+00:03:57,310 --> 00:04:01,550
+equations with the independent variable مثلا في
+
+63
+00:04:01,550 --> 00:04:03,350
+الحلقة الأولى كان independent لكن في هذه الحلقة
+
+64
+00:04:03,350 --> 00:04:04,690
+الانديبندن يكون استفادة
+
+65
+00:04:09,570 --> 00:04:17,490
+هي موجودة الـ y و الـ y' فالفكرة
+
+66
+00:04:17,490 --> 00:04:21,150
+نبدأ نفس التعويض انا اخترت v بصورة y' لكن نعوضها
+
+67
+00:04:21,150 --> 00:04:28,150
+بالصورة هذه vvdv بصورة y وv فهنا انا عند
+
+68
+00:04:28,150 --> 00:04:34,130
+independent مفتوح فالفكرة هنا ان نجعل ال y هو ال
+
+69
+00:04:34,130 --> 00:04:39,130
+independent variableفانا عندي الـV' الـDVDT تتشير
+
+70
+00:04:39,130 --> 00:04:41,830
+له تسوي مشتغط الـV بالنسبة للـY ومشتغط الـY
+
+71
+00:04:41,830 --> 00:04:45,770
+بالنسبة للـT مشتغط الـV بالنسبة للـY أنا عندي هيها
+
+72
+00:04:45,770 --> 00:04:49,650
+ومشتغط الـY بالنسبة للـT هي Y' وY' هي عبارة عن B
+
+73
+00:04:49,650 --> 00:04:54,870
+فبصير يسوي VDVDY هذا الـDVDT هنكتبها ونعوضها
+
+74
+00:04:54,870 --> 00:05:00,590
+بـVDVDY هي بدل الـV' اللي هو عبارة عن Y' في هذه
+
+75
+00:05:00,590 --> 00:05:08,070
+المعادلة هنجيب Y' ونحط بدلهاDVDY ويظهر مثلًا الـ V
+
+76
+00:05:08,070 --> 00:05:11,490
+هو الـ Dependent و الـ Independent هو الـ Y و بدل
+
+77
+00:05:11,490 --> 00:05:15,670
+الـ Y' سنضع V فبصير المعادلة بالصورة هذه و هذه
+
+78
+00:05:15,670 --> 00:05:20,330
+معادلة من درجة أولى فيها الـ Dependent variable V
+
+79
+00:05:20,330 --> 00:05:23,570
+و الـ Independent variable Y فهذا بنحلها، بنجيب V
+
+80
+00:05:23,570 --> 00:05:26,930
+كـ Function في الـ Y و بعدين نرجع و نعوض عن دي
+
+81
+00:05:26,930 --> 00:05:30,270
+قيمة Y' و بنحل المعادلة التانية اللي بتكون دائمًا
+
+82
+00:05:30,270 --> 00:05:30,810
+Separable
+
+83
+00:05:33,380 --> 00:05:40,200
+خلّيني أخد على مثال سؤال 42 صفحة 133 yyw prime زي
+
+84
+00:05:40,200 --> 00:05:43,780
+ال y prime تربير بيسوي zero وt أكبر من zero واضحة
+
+85
+00:05:43,780 --> 00:05:47,180
+المعادلة من درجة التانية فيها اللي هو ال dependent
+
+86
+00:05:47,180 --> 00:05:51,220
+y موجود لكن ال dependent d مفقود نبدأ تعويضها لأن
+
+87
+00:05:51,220 --> 00:05:55,520
+v هي y prime لكن yw prime يسوي d في dvdy نعوضها
+
+88
+00:05:55,520 --> 00:06:00,470
+بصيغة الصورة هذهواضح ان اذا جسمنا على V تتصير
+
+89
+00:06:00,470 --> 00:06:04,630
+بالصورة D وجسمنا عليها خلق Y فDDY زي D بصورة Zero
+
+90
+00:06:04,630 --> 00:06:09,150
+هذه واضح انها separable نفس اللي هو dependent على
+
+91
+00:06:09,150 --> 00:06:13,010
+independent فعشان نفسنا نطلع في الصورة على D على V
+
+92
+00:06:13,010 --> 00:06:16,630
+بصورة سالب D وعلى Y كامل الطرفين لين القيمة على V
+
+93
+00:06:16,630 --> 00:06:20,850
+بصورة سالب لين القيمة على Y زي السابت فده نجي فيه
+
+94
+00:06:20,850 --> 00:06:24,250
+كدالة صريحة على ال Y ناخد ال exponential الطرفين
+
+95
+00:06:24,250 --> 00:06:28,470
+أي خدمتهملأن exponential لا سالب لن في المضحك على
+
+96
+00:06:28,470 --> 00:06:32,230
+Y زي C بصوّي E أو C في exponential لا سالب اللي هو
+
+97
+00:06:32,230 --> 00:06:35,050
+الوضع اللي يروح مع الـLin و الهنالس السالب اللي
+
+98
+00:06:35,050 --> 00:06:37,150
+على فوق بيصير واحدة في المضحك اللي بيصير واحدة
+
+99
+00:06:37,150 --> 00:06:40,330
+عليه لتخلص من الـP المنطقى بيصير V بيصوي زأد ونعقص
+
+100
+00:06:40,330 --> 00:06:44,470
+E وC على Y لسه أولي ممكن يكونوا ثابت نسميه C واحد
+
+101
+00:06:44,470 --> 00:06:48,960
+على Y لذا أنا وصلنا ان V بيصوي ثابت على Yهذه رجع
+
+102
+00:06:48,960 --> 00:06:56,840
+فيه لعصرها دي وي دي تي بيتساوها دي وي دي تي
+
+103
+00:06:56,840 --> 00:07:00,120
+بيتساوها دي وي دي تي بيتساوها دي وي دي تي بيتساوها
+
+104
+00:07:00,120 --> 00:07:01,040
+دي وي دي تي بيتساوها دي وي دي تي بيتساوها دي وي دي
+
+105
+00:07:01,040 --> 00:07:02,960
+تي بيتساوها دي وي دي تي بيتساوها دي وي دي تي
+
+106
+00:07:02,960 --> 00:07:04,680
+دي وي دي تي بيتساوها دي وي دي تي بيتساوها دي وي دي
+
+107
+00:07:04,680 --> 00:07:10,800
+تي بيتساوها دي تي بيتساوها دي تي بT تربيع YW'
+
+108
+00:07:11,020 --> 00:07:14,500
+بيسوي Y' وT أخر من 0 واضح أننا ماعجبنا درجة
+
+109
+00:07:14,500 --> 00:07:17,100
+التانية فيها ال independent موجود T لكن ال
+
+110
+00:07:17,100 --> 00:07:20,240
+independent Y مفقود إذا أنا لعبت حالة الأولى نفرض
+
+111
+00:07:20,240 --> 00:07:25,720
+V بيسوي Y' و V' بيسوي YW بيسوي Y' بصيب الصورة هذه
+
+112
+00:07:25,720 --> 00:07:30,440
+طبعا مواضح انها separable نفصل ال independent
+
+113
+00:07:30,440 --> 00:07:34,000
+variable V على ال independent من كام الطرفين بكام
+
+114
+00:07:34,000 --> 00:07:38,280
+الصورة هذه سارب V أسار بحث نفسه و سارب T أسار بحث
+
+115
+00:07:38,280 --> 00:07:43,760
+Cأنا قادر في ال service الرعبية الـ C 1 1 1 1 1 1
+
+116
+00:07:43,760 --> 00:07:44,460
+1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
+
+117
+00:07:52,550 --> 00:07:55,390
+ت على واحد نقص C واحد T واطلع عليه rational
+
+118
+00:07:55,390 --> 00:07:58,170
+function درجة الأولى ومقام درجة الأولى من قسم
+
+119
+00:07:58,170 --> 00:08:01,230
+وطاولة هي واضحة واطلع عليه سالب واحد على C واحد
+
+120
+00:08:01,230 --> 00:08:04,430
+زائد واحد على C واحد على واحد نقص C واحد في T
+
+121
+00:08:04,430 --> 00:08:08,050
+انكامل اللغة بالتكامل واطلبها من الصورة طبعا نفسي
+
+122
+00:08:08,050 --> 00:08:11,470
+ترجع لإن أنا عند المقام واشتقته سالب C واحد طلبني
+
+123
+00:08:11,470 --> 00:08:14,670
+البس في سالب C واحد يسمع C واحد واطلع عليه سالب
+
+124
+00:08:14,670 --> 00:08:17,210
+واحد على C واحد ترجع واطلع عليه واطلع عليه واطلع
+
+125
+00:08:17,210 --> 00:08:17,590
+عليه واطلع عليه واطلع عليه واطلع عليه واطلع عليه
+
+126
+00:08:17,590 --> 00:08:21,230
+واطلع
+
+127
+00:08:21,230 --> 00:08:27,300
+عليهنأخد مثال رابع و هو الحالة التانية و أدعى
+
+128
+00:08:27,300 --> 00:08:30,120
+المعادلة تفضل من الدرجة التانية فيها الـ
+
+129
+00:08:30,120 --> 00:08:32,180
+independent variable موجود لكن الـ independent
+
+130
+00:08:32,180 --> 00:08:35,980
+variable المفقود الـ T موجود أدعى الحالة التانية
+
+131
+00:08:35,980 --> 00:08:39,980
+الـ Y برنامج نعوض عن الـ D و الـ YW برنامج نعوض عن
+
+132
+00:08:39,980 --> 00:08:45,360
+الـ D في DVDY بصورة بهذه الصورةخلّي معاملة D و1
+
+133
+00:08:45,360 --> 00:08:52,740
+نجسم على D ونغسّم
+
+134
+00:08:52,740 --> 00:09:02,680
+على D ونغسّم على D ونغسّم على D ونغسّم
+
+135
+00:09:02,680 --> 00:09:08,810
+على D ونغسّم على D ونغسّم على Dبنعوض في المعاملة
+
+136
+00:09:08,810 --> 00:09:12,130
+دي بيصير نص دي زي دي واي زائد زي دي واي زائد زي دي
+
+137
+00:09:12,130 --> 00:09:12,250
+واي زائد زي دي واي زائد زي دي واي زائد زي دي واي
+
+138
+00:09:12,250 --> 00:09:12,730
+زي دي واي زائد زي دي واي زائد زي دي واي زائد زي دي
+
+139
+00:09:12,730 --> 00:09:13,990
+واي زائد زي دي واي زائد زي دي واي زائد زي دي واي
+
+140
+00:09:13,990 --> 00:09:19,610
+زائد زي دي واي زائد زي دي واي زائد زي دي واي زائد
+
+141
+00:09:19,610 --> 00:09:28,010
+زي دي واي زائد زي دي واي زائد زي دي واي زائد زي دي
+
+142
+00:09:28,010 --> 00:09:32,580
+وايميو اف واي بيسوي تجامب تجامب P of T بيطلع P of
+
+143
+00:09:32,580 --> 00:09:40,080
+Y بيطلع P of Y بيطلع P of Y بيطلع P of Y بيطلع P
+
+144
+00:09:40,080 --> 00:09:46,360
+of Y بيطلع P of Y بيطلع P of Y بيطلع P of Y بيطلع
+
+145
+00:09:46,360 --> 00:09:46,380
+بيطلع P of Y بيطلع P of Y بيطلع P of Y بيطلع P of
+
+146
+00:09:46,380 --> 00:09:46,480
+of Y بيطلع P of Y بيطلع P of Y بيطلع P of Y بيطلع
+
+147
+00:09:46,480 --> 00:09:56,320
+P of Y بيطلع P of Y
+
+148
+00:09:56,320 --> 00:10:00,790
+بيراجع فيه الاصلة y prime بصورة وهذه الصورة صارت
+
+149
+00:10:00,790 --> 00:10:05,650
+separable نفس ال D وY عند D في هذه الصورة وانا جبت
+
+150
+00:10:05,650 --> 00:10:08,830
+هذا على طرف الشمال فواحدة ليه صورة بيصير ايه صورة
+
+151
+00:10:08,830 --> 00:10:11,790
+وهذا أساليب نص صار لإننا جسمنا عليه وجبنا اعترفه
+
+152
+00:10:11,790 --> 00:10:16,150
+فصارت separable من كامل تكامل على طرف أي واحدهيجب
+
+153
+00:10:16,150 --> 00:10:19,370
+ان تلاحظوا ان جوز مستقبط برا الاربع في اس واي زي
+
+154
+00:10:19,370 --> 00:10:22,050
+C1 مستقبط اربع في اس واي فهنضيف اربع نصف مع اربع
+
+155
+00:10:22,050 --> 00:10:27,570
+عشان هي كده نضيف نصف نصف نصف نصف نصف نصف نصف نصف
+
+156
+00:10:27,570 --> 00:10:30,850
+نصف نصف نصف نصف نصف نصف نصف نصف نصف نصف نصف نصف
+
+157
+00:10:30,850 --> 00:10:33,010
+نصف نصف نصف نصف نصف نصف نصف نصف نصف نصف نصف نصف
+
+158
+00:10:33,010 --> 00:10:39,110
+نصف نصف نصف نصف نصف نصف
+
+159
+00:10:39,110 --> 00:10:40,930
+نصف ن
+
+160
+00:10:45,210 --> 00:10:48,570
+وبهذا الموضوع بكون هكذا انتهينا من شرطة التاني في
+
+161
+00:10:48,570 --> 00:10:51,910
+المادة وفي الشرطة التالية هندرس المعادلات من درجة
+
+162
+00:10:51,910 --> 00:10:55,930
+التاني بصورة عامة لكن هذا الموضوع كان حالة خاصة في
+
+163
+00:10:55,930 --> 00:10:58,890
+نهاية الفيديو هتمنى لكم التوفيق والسلام عليكم
+
+164
+00:10:58,890 --> 00:10:59,590
+ورحمة الله ورحمة الله أكبر
+
diff --git a/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/IkJX6ZbyunY_raw.srt b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/IkJX6ZbyunY_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..98937fd22b6756d0f87a34875006760f39fe3bfa
--- /dev/null
+++ b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/IkJX6ZbyunY_raw.srt
@@ -0,0 +1,1484 @@
+1
+00:00:02,850 --> 00:00:06,670
+باسم الله الرحمن الرحيم عزيزي الطلاب السلام عليكم
+
+2
+00:00:06,670 --> 00:00:10,670
+ورحمة الله وبركاته في فيديو جديد سنناقش من خلال
+
+3
+00:00:10,670 --> 00:00:14,430
+section 5 5 Euler equations وهو آخر section في
+
+4
+00:00:14,430 --> 00:00:21,810
+chapter 5 طبعا بعد ما تحضروا المحاضرة المصورة بيجي
+
+5
+00:00:21,810 --> 00:00:26,750
+دور المناقشة في هذه المناقشة سوف نتعرض بعد الأمثلة
+
+6
+00:00:26,750 --> 00:00:32,380
+لحل معادلات Euler equationأول حاجة لو رجعنا لتعريف
+
+7
+00:00:32,380 --> 00:00:34,640
+ال Euler equation ال Euler equation بتكون
+
+8
+00:00:34,640 --> 00:00:39,740
+differential equation من درجة تانية linear لكن ال
+
+9
+00:00:39,740 --> 00:00:42,200
+coefficient عندها متتوابط و تكتب ال coefficient
+
+10
+00:00:42,200 --> 00:00:45,380
+بالصورة هذه يعني y w prime مقومة و جروب في ال x
+
+11
+00:00:45,380 --> 00:00:50,440
+تربيع و ال y prime في ال x الصورة هذه هي الشكل
+
+12
+00:00:50,440 --> 00:00:55,280
+العام لهاX تربيع YW برامزاية Alpha XY برامزاية
+
+13
+00:00:55,280 --> 00:00:59,960
+Beta Y بساوية Zero طبعاً هذه أكتر الصورة ستتعرض
+
+14
+00:00:59,960 --> 00:01:06,400
+لبعض الصور الأخرى لكن عندما نخلق الـ Euler
+
+15
+00:01:06,400 --> 00:01:09,380
+differential equation يجب أن نتأكد أن X تربيع
+
+16
+00:01:09,380 --> 00:01:14,200
+المعامل واحد عند Alpha وBeta في هذه الحالة هي الـ
+
+17
+00:01:14,200 --> 00:01:18,950
+Real constantالفكرة تحل الـ differential equation
+
+18
+00:01:18,950 --> 00:01:21,570
+هي الـ Euler differential equation مثل المعادلة
+
+19
+00:01:21,570 --> 00:01:24,650
+التفضلية المدرسة التانية درستناها في شبطر تلاتة
+
+20
+00:01:24,650 --> 00:01:29,510
+فعنا ال characteristic equation يكون بالصورة هذه
+
+21
+00:01:29,510 --> 00:01:34,390
+فمتأكد المعامل هنا واحد هتكون R تربيع زائد بناخد
+
+22
+00:01:34,390 --> 00:01:39,750
+Alpha العدل اللي هي الـ Alpha وبنطرح منه واحد فR
+
+23
+00:01:39,750 --> 00:01:43,710
+زائد Beta تساوي Zero هذه اللي هو characteristic
+
+24
+00:01:43,710 --> 00:01:49,380
+equationأول ما نبدأ في حل الـ Euler differential
+
+25
+00:01:49,380 --> 00:01:53,700
+equation نحطها في هذه الصورة نخل معامل X ترميع Y
+
+26
+00:01:53,700 --> 00:01:58,180
+double prime واحد نخرج Alpha و Beta ونكتب ال
+
+27
+00:01:58,180 --> 00:02:00,300
+characteristic equation بالصورة هذه R ترميع زاد
+
+28
+00:02:00,300 --> 00:02:03,300
+Alpha نقص واحد R زاد Beta بصورة Zero وانا بأكد على
+
+29
+00:02:03,300 --> 00:02:06,920
+ان الـ Alpha بناخده مع الإشارة اللي هي سواء موجب
+
+30
+00:02:06,920 --> 00:02:11,540
+او سالب لو فرضنا هنا مثلا سالب او ما أخدناه شهر
+
+31
+00:02:11,540 --> 00:02:17,990
+تصير هنا مشكلة في الحلهذه المعادلة من درجة تانية
+
+32
+00:02:17,990 --> 00:02:23,790
+هيكون في عندى اتنين solutions نوجدها بقى بإنه نوجد
+
+33
+00:02:23,790 --> 00:02:26,610
+اول حاجة خلول هذه ال character equation هي من درجة
+
+34
+00:02:26,610 --> 00:02:30,950
+تانية فزي ما درستنا سابقا هيكون لها حالين و
+
+35
+00:02:30,950 --> 00:02:36,110
+الحالين ترك حالات لإن بكون الحالين حققين مختلفين
+
+36
+00:02:36,110 --> 00:02:40,820
+هذا إذا كان مميز أكبر من سفرحل واحد مكرر إذا كان
+
+37
+00:02:40,820 --> 00:02:46,640
+مميز بسوء صفر وحلين مترافقين
+
+38
+00:02:46,640 --> 00:02:51,960
+إذا كان المميز أقل من صفر فندرس كل حالة لوحدها
+
+39
+00:02:51,960 --> 00:02:56,720
+ناخد على الأمثلة الحالة الأولى لو كان عندي real
+
+40
+00:02:56,720 --> 00:03:00,160
+distinct rules يعني افرضنا characteristic equation
+
+41
+00:03:00,160 --> 00:03:06,880
+هي رقم اتنين هذه جبنا قيم R وR فطلع R واحد وR
+
+42
+00:03:06,880 --> 00:03:12,570
+اتنين ريالهذه الصورة R1 وR2 تقرروا ريال ومختلفة في
+
+43
+00:03:12,570 --> 00:03:16,450
+هذه الحالة سيكون الحالة اللي كنت قلت عنها هنا هنا
+
+44
+00:03:16,450 --> 00:03:20,610
+فيه اختلاف عن شكتر تلاتة سيكون الصورة X أس R1
+
+45
+00:03:20,610 --> 00:03:25,490
+والحالة التانية X أس R2 طبعا هذه الحالة درسناها
+
+46
+00:03:25,490 --> 00:03:32,100
+عندما تكون تحت شرط X أكبر من 0هذه الحالة ستكون X
+
+47
+00:03:32,100 --> 00:03:35,680
+أكبر من 0 لأن X تربية ممنوعة تسوّي سفر فهناك حال
+
+48
+00:03:35,680 --> 00:03:39,460
+تاني لإن X أكبر من 0 أو أقل من 0 فلو كان X أكبر من
+
+49
+00:03:39,460 --> 00:03:43,560
+0 فناخد هذه الحالات فلو كان X أقل من 0 نفس الحالة
+
+50
+00:03:43,560 --> 00:03:47,360
+لكن نضع القيمة المطلقة نضع القيمة المطلقة فلو
+
+51
+00:03:47,360 --> 00:03:52,520
+السؤال لم يعطي X أكبر من 0 أو أقل من 0 فنضع القيمة
+
+52
+00:03:52,520 --> 00:03:56,670
+المطلقةفي هذه الحالتين فإذا لو كان انا بعرف ان X
+
+53
+00:03:56,670 --> 00:04:00,410
+السؤال أكبر من صفر ليس داعي اضافة قيمة مطلقة
+
+54
+00:04:00,410 --> 00:04:04,890
+للحالين لكن لو مافيش و ماعرفش انه أكبر من صفر او
+
+55
+00:04:04,890 --> 00:04:09,190
+بيعطينا أقل من صفر بضع قيمة مطلقة ففي الحال الأولى
+
+56
+00:04:09,190 --> 00:04:12,090
+إذا كان حلول ال characteristics equation حالين
+
+57
+00:04:12,090 --> 00:04:16,470
+حقيقية مختلفين هذا هو فرض mental solutionsوزي ما
+
+58
+00:04:16,470 --> 00:04:18,450
+درسنا في ال general solution هيكون linear
+
+59
+00:04:18,450 --> 00:04:20,970
+combination بينهم فهي general solution في هذه
+
+60
+00:04:20,970 --> 00:04:24,990
+الحالة y هيسوى c1 في x وصف r1 زي c2 في x وصف r2
+
+61
+00:04:24,990 --> 00:04:28,890
+هناخد مثال تطبيقه solve the differential equation
+
+62
+00:04:28,890 --> 00:04:33,390
+2x تربيع y double prime زي 3xy prime نخص y بيسوى 0
+
+63
+00:04:33,390 --> 00:04:38,470
+وx أكتر من 6 واضح ان هذه Euler equation لأن
+
+64
+00:04:38,470 --> 00:04:41,230
+المضروف y double prime هنا في x تربيع والمضروف y
+
+65
+00:04:41,230 --> 00:04:48,210
+prime xهنضغط في Y X الصفر عشان لا يظهر ويظهر أن X
+
+66
+00:04:48,210 --> 00:04:52,470
+أكبر من 0 فلا داعي أن نضعطب المطلقة فلو وضعناها مش
+
+67
+00:04:52,470 --> 00:04:56,610
+خطأ في الحالة العامة الوهانة عشان يوجد حالة عامة
+
+68
+00:04:56,610 --> 00:04:59,590
+فنجيب R1 وR2 وعشان نجيب R1 وR2 نجيب ال
+
+69
+00:04:59,590 --> 00:05:03,110
+characteristicفأول حاجة تلاحظوا السؤال هذا المضروف
+
+70
+00:05:03,110 --> 00:05:06,510
+في x² هنا 2 لازم أخلّي واحد يقسم كل معدل على 2
+
+71
+00:05:06,510 --> 00:05:10,950
+ويقسم بالصورة هذه هي صارت البسئلة جاهزة زي ما
+
+72
+00:05:10,950 --> 00:05:16,050
+بدأنا في معدلة 1 أن عندي x² y'' زي الـ 3 ع 2xy'
+
+73
+00:05:16,570 --> 00:05:20,870
+نقص نص y بيسوي 0 هنا Alpha عبارة عن المعامل هنا
+
+74
+00:05:21,110 --> 00:05:25,050
+تلاتة على اتنين وبيتا
+
+75
+00:05:25,050 --> 00:05:30,330
+ثالث بنص فحسب معادل اتنين ال characteristic هي R
+
+76
+00:05:30,330 --> 00:05:34,030
+تربيع زائد Alpha ناقص واحد في R زائد بيتا بساوية
+
+77
+00:05:34,030 --> 00:05:38,390
+Zero فنضع R تربيع زائد Alpha تلاتة على اتنين ناقص
+
+78
+00:05:38,390 --> 00:05:46,360
+واحد في R ناقص نص بيتا بساوية Zeroأول حاجة يمكن أن
+
+79
+00:05:46,360 --> 00:05:50,860
+أضغط كل معدن اتنين ر تر بيزاد نص ار نقص نص بيساوي
+
+80
+00:05:50,860 --> 00:05:54,340
+zero طبعا في البعض يقول اننا في الأول جسمنا على
+
+81
+00:05:54,340 --> 00:05:58,160
+اتنين و بعدها نضغط على اتنين لأ انا انتبه هذي
+
+82
+00:05:58,160 --> 00:06:01,420
+بيعطيني اذا اضغط على اتنين بيعطيني هذي اتنين ر تر
+
+83
+00:06:01,420 --> 00:06:05,860
+بيزاد ار نقص واحد بيساوي zero وهنا بيختلف على من
+
+84
+00:06:05,860 --> 00:06:11,300
+هذا اذا أنا ما جسمتش هاعتبر واحد ان الف تساوي
+
+85
+00:06:11,300 --> 00:06:16,200
+تلاتةولمّا يترحب من الـ 1 ، فسيصبح الـ 2 أعلى لكن
+
+86
+00:06:16,200 --> 00:06:21,780
+هنا تلاحظ أن أنا أعلى فإذا انا اختلف فلازم نكتب
+
+87
+00:06:21,780 --> 00:06:25,300
+بالصورة هذه الأول ندخل المعامل external weather
+
+88
+00:06:25,300 --> 00:06:28,960
+program 1 عشان نستطيع ان نخرج الـ Alpha الـ Alpha
+
+89
+00:06:28,960 --> 00:06:31,480
+من 3 ع 2 لكن لو لم تجسمها ، فستعتبر الـ Alpha
+
+90
+00:06:31,480 --> 00:06:35,200
+ثلاثة ، فهذه خطأ هنا نكمل السؤال ونختار الـ
+
+91
+00:06:35,200 --> 00:06:37,740
+Characteristic equation طبعا برحلها في القسم العام
+
+92
+00:06:37,740 --> 00:06:41,080
+أو بالتحديد تتحلل بصورة هذه و بطلع حلين عند نص
+
+93
+00:06:41,490 --> 00:06:44,510
+والحل التاني 1 تبعث انهم اثنين ريال مختلفين
+
+94
+00:06:44,510 --> 00:06:48,350
+فبالتالي حسب القاعدة general solution Y بيسوي C1
+
+95
+00:06:48,350 --> 00:06:52,670
+في X أصنع نفسي زي C2 في X لو حطينا قيمة مطلقة لل X
+
+96
+00:06:52,670 --> 00:06:56,690
+صحيح برضه الحل لكن هنا مافيش داعي لأنهم يعطينا X
+
+97
+00:06:56,690 --> 00:07:03,070
+أكبر من 0 هذا الحل الأولى الحل التاني ان يكون عندي
+
+98
+00:07:03,070 --> 00:07:08,010
+equal real roots يعني انا R1 هيسوي R2 بيسوي قيمة
+
+99
+00:07:08,010 --> 00:07:10,910
+معينة R وهذا بيحدث زي ما درسناه عندما يكون ال
+
+100
+00:07:11,340 --> 00:07:15,560
+معادلة الـ Characteristic equation علم ما يستبعها
+
+101
+00:07:15,560 --> 00:07:19,300
+سيكون سواء 0 في هذه الحالة سأكون لدي Y1 يسوء X
+
+102
+00:07:19,300 --> 00:07:23,000
+سواء R و Y2 يسوء X سواء R سوف نختار اختلافين مثل
+
+103
+00:07:23,000 --> 00:07:26,080
+بعض الشباب لكي نختار اختلاف التاني من الأول نضغط
+
+104
+00:07:26,080 --> 00:07:30,700
+فلن X على فرض أن X أكبر من 0 في هذه الحالة لو كان
+
+105
+00:07:30,700 --> 00:07:34,720
+X أقل من 0 فسنختار اختلاف المطلق و سنختار اختلاف
+
+106
+00:07:34,720 --> 00:07:37,460
+المطلق لو لم أعطني او لم أكن أعرف اذا كان X أكبر
+
+107
+00:07:37,460 --> 00:07:42,900
+من 0 او أقل من 0ففي هذا الحالة بحط القيمة المفترضة
+
+108
+00:07:42,900 --> 00:07:45,860
+الـ General solution هيكون .. دي هي combination
+
+109
+00:07:45,860 --> 00:07:51,440
+بينهم C1 في X أس R زي C2 في X أس R لإن X فنشوف
+
+110
+00:07:51,440 --> 00:07:54,860
+المثال عليها Solve the differential equation X
+
+111
+00:07:54,860 --> 00:07:59,260
+term بيقوى W prime زي 5X Y prime زي 4Y بيسوء 0 و X
+
+112
+00:07:59,260 --> 00:08:04,000
+أكبر من 0 لعظم المثلين إن X أكبر من 0هذه المعاملة
+
+113
+00:08:04,000 --> 00:08:07,580
+جاهزة لأنها معاملة x² وy بالـ prime واحد فالـ
+
+114
+00:08:07,580 --> 00:08:12,020
+alpha عندها هي خمسة وال beta أربعة فحسب ال
+
+115
+00:08:12,020 --> 00:08:15,400
+equation 2 ال characteristic equation عندنا على
+
+116
+00:08:15,400 --> 00:08:18,860
+طول يكون R تربيع زائد ناخد alpha خمسة ناقص واحد
+
+117
+00:08:18,860 --> 00:08:22,860
+نفرح منها في R زائد أربعة بساوية Zero وبالتالي
+
+118
+00:08:22,860 --> 00:08:25,340
+بيطلع معايا R تربيع زائد أربعة R زائد أربعة بساوية
+
+119
+00:08:25,340 --> 00:08:26,840
+Zero وهذا مربع كامل
+
+120
+00:08:34,500 --> 00:08:37,580
+حسب قاعدة الـ General solution سنكتب الصورة هذه
+
+121
+00:08:46,770 --> 00:08:51,230
+هذا هو اذا وضعنا القيمة المطلقة صحيح لو ما كان في
+
+122
+00:08:51,230 --> 00:08:53,910
+السؤال مش مديني هذا انها أكبر من سفر ضروري وضع
+
+123
+00:08:53,910 --> 00:08:57,630
+القيمة المطلقة لأنه لا نستطيع ان ناخد لـ X و X
+
+124
+00:08:57,630 --> 00:09:01,590
+ممكن تكون بالسالف فلازم نضع القيمة المطلقة لها
+
+125
+00:09:01,590 --> 00:09:06,430
+الحالة التالتة و الأخيرة لو كان لدي Complex rules
+
+126
+00:09:06,430 --> 00:09:12,010
+فهي المميزة أقل من سفر في هذه الحالةR هو .. لو
+
+127
+00:09:12,010 --> 00:09:16,570
+فرضنا عند الجدر الأول اللي هو Lambda زاد ميو في I
+
+128
+00:09:16,570 --> 00:09:20,150
+حيث I جدر السلب واحد R2 هيكون ال conjugate التبعه
+
+129
+00:09:20,150 --> 00:09:25,050
+اللي هو Lambda نقص ميو في I رو طبعا هي Lambda وميو
+
+130
+00:09:25,050 --> 00:09:29,270
+هي ال real number الconstant في الحالة ال general
+
+131
+00:09:29,270 --> 00:09:32,770
+solution Y بصوصي واحد في X أُس Lambda هناخد X
+
+132
+00:09:32,770 --> 00:09:36,870
+مرتولة لLambda حيث هو Lambda الحقيقيمن الـ complex
+
+133
+00:09:36,870 --> 00:09:42,050
+number في cos ميو ميو هو التفييل بين الـ X والتاني
+
+134
+00:09:42,050 --> 00:09:45,250
+زي وزاسي اتنين لكن نستبدل الـ cosine بالصين
+
+135
+00:09:45,250 --> 00:09:50,550
+فتلاقظوا ان الحلقة في تشابه مع درسناه في chapter 3
+
+136
+00:09:50,550 --> 00:09:54,070
+وهذا اللي هنتأكد عليه في آخر ال section نحن نحول
+
+137
+00:09:54,070 --> 00:09:57,330
+الأسئلة هذه إلى أسئلة يكون ال coefficient of
+
+138
+00:09:57,330 --> 00:10:02,480
+constants فبالتالي ممكن نحلها باستخدام شطار 3طبعاً
+
+139
+00:10:02,480 --> 00:10:04,820
+ناخد عليه مثالة هي مثالة solve the differential
+
+140
+00:10:04,820 --> 00:10:09,540
+equation x تربيع y double prime زي x y prime زي y
+
+141
+00:10:09,540 --> 00:10:12,840
+بسوة zero هل مدينة x أكبر من صفر؟ مدينة x أكبر من
+
+142
+00:10:12,840 --> 00:10:16,320
+صفر مضرورة تحط أقيمه المطلقة لكن لو ماعطانيش أن x
+
+143
+00:10:16,320 --> 00:10:21,000
+أكبر من صفر مضرورة تحط أقيمه المطلقة أو أقل من صفر
+
+144
+00:10:21,000 --> 00:10:26,020
+مضرورة تحط أقيمه المطلقة فبتكون الحالة دي نفسها
+
+145
+00:10:26,600 --> 00:10:29,620
+طبعاً في سؤالنا واضح ان هنا جاهز لأن هذا هو احد
+
+146
+00:10:29,620 --> 00:10:34,100
+معامله فبتطلع من هنا بطلع ان ال alpha تسوي موجة
+
+147
+00:10:34,100 --> 00:10:37,420
+بواحد يعني واحد و ال beta بواحد اذا ال
+
+148
+00:10:37,420 --> 00:10:41,240
+characteristic equation هتكون R ترابيع زائد alpha
+
+149
+00:10:41,240 --> 00:10:44,960
+ليها واحد نقص واحد في R زائد beta بسوية زره تطلع
+
+150
+00:10:44,960 --> 00:10:46,720
+معايا هذه ال characteristic و هذه حلولة زي ما
+
+151
+00:10:46,720 --> 00:10:51,120
+عرفين انه I و سادر I اتلاعظوا هذولة اتنين اللي هم
+
+152
+00:10:51,120 --> 00:10:53,940
+complex اللي هو ال real part فيهم zero لكن في
+
+153
+00:10:53,940 --> 00:10:55,280
+الأولاني اللي هو ال
+
+154
+00:11:00,360 --> 00:11:06,700
+حسب القاعدة 1 سوى c1 هي x أصلابنا لدي لمضة بصفر
+
+155
+00:11:06,700 --> 00:11:13,560
+فبصير هنا أقول واحد cosine لن ال X ثم c2 في ال
+
+156
+00:11:13,560 --> 00:11:15,500
+sign لن ال X الثاني
+
+157
+00:11:18,760 --> 00:11:23,320
+فى ملاحظة لو كانت x أقل من 0 أو ماعطيها شيء بس في
+
+158
+00:11:23,320 --> 00:11:26,240
+الحالات التالية هي نفس الحل لكن بس تبدأ الـ x
+
+159
+00:11:26,240 --> 00:11:34,380
+بالقيمة المتقلة في عندى ملاحظة تانية ان هذا عامل
+
+160
+00:11:34,380 --> 00:11:38,760
+الصادر لو كانت انا عندى differential equation رقم
+
+161
+00:11:38,760 --> 00:11:43,800
+3 اكس نقص اكس نوت اكس نوت فده عدد حقيقي ثابت تربيع
+
+162
+00:11:43,800 --> 00:11:48,780
+في البرادجات Alpha of X نقص X naughtY' ذات Beta Y
+
+163
+00:11:48,780 --> 00:11:56,440
+بيساوي 0 هذه Euler equation اتلاعظوا
+
+164
+00:11:56,440 --> 00:12:00,540
+انه نفس الصورة لكن استبدل هناك X بالـ X نقص X0
+
+165
+00:12:00,540 --> 00:12:04,960
+يعني هنا أصبح X مطروح منه X0 وSingraport لهذه
+
+166
+00:12:04,960 --> 00:12:12,300
+الحالة X تساوي X0 لأولاني X تساوي 0 لSingraportطب
+
+167
+00:12:12,300 --> 00:12:15,140
+كيف نحل هذه الحلقة السلسية؟ هو فكرة ان نحولها
+
+168
+00:12:15,140 --> 00:12:23,100
+للصورة هذه اللي درسناها في أول section ان نتخلص من
+
+169
+00:12:23,100 --> 00:12:30,000
+x نقص x0 ونتعويضها فكلي مثلا x نقص x0 يسوى برامج
+
+170
+00:12:30,000 --> 00:12:35,740
+المعين Tبنعوض عن X نقص الـ Snot بالـ T فبتصير اللي
+
+171
+00:12:35,740 --> 00:12:40,300
+لو قمناها هان T تربيه في YW' لكن هان YW' هتكون
+
+172
+00:12:40,300 --> 00:12:44,440
+مشتقة بالنسبة لـ T زي Alpha TY' زي بيكا واي بساوي
+
+173
+00:12:44,440 --> 00:12:49,080
+Zero وبنحلها عادي وبعدين في الآخر بنجيه من T ونرجع
+
+174
+00:12:49,080 --> 00:12:52,460
+في mix اللي فرضناها X نقص Snot وده هنشوف المثل
+
+175
+00:12:52,460 --> 00:12:57,260
+التالي وهو عبارة عن سؤال من أسئلة كتاب كسن عشرة
+
+176
+00:12:57,770 --> 00:13:01,850
+صفحة 278 Solve the differential equation X نقص
+
+177
+00:13:01,850 --> 00:13:05,350
+اتنين تربيع واحدة بالبرامج زي الخمسة في X نقص
+
+178
+00:13:05,350 --> 00:13:09,230
+اتنين Y برامج زي التمانية Y بساوية Zero اذا افترض
+
+179
+00:13:09,230 --> 00:13:14,150
+T تساوي X نقص اتنين فبصير بالصورة هذه T تربيع هن
+
+180
+00:13:14,150 --> 00:13:18,790
+بصير المشتقة التانية لل Y بالنسبة للT زي الخمسة في
+
+181
+00:13:18,790 --> 00:13:22,210
+T في مشتقة الاولى ل Y بالنسبة للT زي التمانية
+
+182
+00:13:22,210 --> 00:13:24,910
+واحدة بساوية Zero هذه صارت لحظة انها All equations
+
+183
+00:13:24,910 --> 00:13:29,410
+زي اللي درسنا في أول معادلةهذه المعاملة واحدة
+
+184
+00:13:29,410 --> 00:13:33,550
+فبالتالي Alpha هي خمسة موجة بخمسة U باسم الإشارة
+
+185
+00:13:33,550 --> 00:13:38,590
+وBeta هي التمانية ال characteristic equation في
+
+186
+00:13:38,590 --> 00:13:41,370
+هذه الحالة هتكون R تربيع زي خمسة نقص واحد R زي
+
+187
+00:13:41,370 --> 00:13:44,790
+تمانية زي Zero فتظهر R تربيع زي أربعة R زي تمانية
+
+188
+00:13:44,790 --> 00:13:48,970
+زي Zero باستخدام القانون العام R بدينيه اللي هو
+
+189
+00:13:48,970 --> 00:13:51,950
+two complex numbers الأولين سلب اتنين زي اتنين I
+
+190
+00:13:51,950 --> 00:13:56,190
+والتانين سلب اتنين نقص اتنين Iفبالتالي هيكون حل
+
+191
+00:13:56,190 --> 00:14:00,490
+هذه المعادلة التفضلية y بيسوي c1 حتى تقيمه يظهر
+
+192
+00:14:00,490 --> 00:14:05,210
+على x أساليب 2 حيث أساليب 2 هو جزء الريال في ال
+
+193
+00:14:05,210 --> 00:14:10,610
+complex number في cos ل 2 اللي هو الجزء التخيلي في
+
+194
+00:14:10,610 --> 00:14:13,990
+القيمة التقالتي وضروريا هنحط القيمة متقالتي لأنه
+
+195
+00:14:13,990 --> 00:14:17,730
+لو اتلاحظوا السؤال يعني ال x ممنوع تساوي 2 لأن x
+
+196
+00:14:17,730 --> 00:14:21,110
+أكبر من 2 أو أقل من 2 وهنا في السؤال ماعطانيش x
+
+197
+00:14:21,110 --> 00:14:25,650
+أكبر من 2 أو أقل من 2بالتالي الـ T هي الـ x-2 ممكن
+
+198
+00:14:25,650 --> 00:14:30,550
+تكون موجة بقى أو ثالثة فضلنا نحط القيمة زي uc2
+
+199
+00:14:30,550 --> 00:14:33,250
+فقيمة اقل تي او سلب اتنين في الصعن انا مستخدم
+
+200
+00:14:33,250 --> 00:14:38,180
+كوزين الصعن اللي هو len تينين فقيمة اقل تيهكذا
+
+201
+00:14:38,180 --> 00:14:42,500
+يكون حلّنا المعادلة هذه التي ليست أساسية الأساسية
+
+202
+00:14:42,500 --> 00:14:47,240
+هي أصلية كانت السؤال فالحل بسيط بنجيب تيوب ونرجح
+
+203
+00:14:47,240 --> 00:14:50,440
+على قيمتها X نقص اتنين فبصير عند ال general
+
+204
+00:14:50,440 --> 00:14:53,740
+solution المعادلة البديلة فيها والمطلوبة هو عادى
+
+205
+00:14:53,740 --> 00:14:56,100
+يسوي C واحد فتقيمه واطق على X نقص اتنين او سالب
+
+206
+00:14:56,100 --> 00:14:59,580
+اتنين فكوزعلن اتنين فتقيمه واطق على X نقص اتنين
+
+207
+00:14:59,580 --> 00:15:02,900
+اذا C اتنين فتقيمه واطق على X نقص اتنين او سالب
+
+208
+00:15:02,900 --> 00:15:07,220
+اتنينأتنين ثلاثين مطلقة لأكس نقص اتنين وهنا ضروري
+
+209
+00:15:07,220 --> 00:15:09,780
+أن أضع ثلاثين مطلقة لأننا لا نعرف في السؤال هل X
+
+210
+00:15:09,780 --> 00:15:13,380
+أكبر من اتنين أو لا أقل من اتنين طبعا إذا كانت X
+
+211
+00:15:13,380 --> 00:15:18,560
+أكبر من اتنين ممكن أننا لا نضعها لكن زي ما هو واضح
+
+212
+00:15:18,560 --> 00:15:23,300
+أنه لازم نضع ثلاثين مطلقة ننتقل
+
+213
+00:15:23,300 --> 00:15:27,540
+الآن لمثال وهذا المثال سنشرح نقطة مهمة وهو كيف
+
+214
+00:15:27,540 --> 00:15:31,880
+نحول Euler equation ل differential equations يكون
+
+215
+00:15:31,880 --> 00:15:38,480
+الكوفيشان كونيسيأحنا بتمتع بالخواص اللي درسناه في
+
+216
+00:15:38,480 --> 00:15:41,760
+شبطر تلاتة في شبطر تلاتة درسنا حال معادلات نفضرية
+
+217
+00:15:41,760 --> 00:15:45,760
+من درجة تانية ودرجة كوفية من درجة تانية وتكون
+
+218
+00:15:45,760 --> 00:15:51,060
+Linear وانا تكون Linear كان في شبطر تلاتة لسه ليس
+
+219
+00:15:51,060 --> 00:15:56,800
+الأول وكان فيه عشان استخدام الشرط انه يكون ال
+
+220
+00:15:56,800 --> 00:16:00,630
+coefficient ثوابتلكن هنا في الـ Euler equation الـ
+
+221
+00:16:00,630 --> 00:16:07,170
+coefficients بالثوابت كما تشاهدون فهنا
+
+222
+00:16:07,170 --> 00:16:10,250
+في الفكرة في الـ one موجودة في اسم الـ cap نحن
+
+223
+00:16:10,250 --> 00:16:13,730
+ناخد عليها مثال وبتخيل اللي بجيت عليه ان كيف نحول
+
+224
+00:16:13,730 --> 00:16:16,370
+الـ Euler equation ال differential equation زي
+
+225
+00:16:16,370 --> 00:16:19,910
+اللي درسناه في chapter 3 وبالتالي بيحلهم بالطريقة
+
+226
+00:16:19,910 --> 00:16:24,090
+العادية وهيطلع نفس الحل وانا بريكم تحلوا الأمثل
+
+227
+00:16:24,090 --> 00:16:27,750
+السابقة بهذه الطريقة اللي هندرسها الآنهو الفكرة
+
+228
+00:16:27,750 --> 00:16:31,270
+بشأن عملية تعويضة لإنها نـ transform the Euler
+
+229
+00:16:31,270 --> 00:16:33,850
+equation to an equation with constant coefficients
+
+230
+00:16:33,850 --> 00:16:36,850
+طبعا، هل هو اتصار الفكرة عن طريقة إيه اللي حل الـ
+
+231
+00:16:36,850 --> 00:16:39,770
+Euler equation؟ لإن بالطريقة السابقة، على طول نجيب
+
+232
+00:16:39,770 --> 00:16:43,630
+الـ characteristic equation لـR تبيع زاد Alpha نقص
+
+233
+00:16:43,630 --> 00:16:48,290
+واحد في R زاد Beta و نخططها لحلها أو نحولها
+
+234
+00:16:48,290 --> 00:16:52,790
+لمعادلة مفضلية ندرسها في الـ chapter 3 و بعدين
+
+235
+00:16:52,790 --> 00:16:57,290
+نحلها و بعدين نعود لعمل التعويضإذا هو السؤال ما
+
+236
+00:16:57,290 --> 00:17:00,210
+طلبش منك تحول زي ما هناخد في الأسئلة لو نطالف هذا
+
+237
+00:17:00,210 --> 00:17:03,590
+المجموع للتحول فانت ممكن تحول بالطريقتين whatever
+
+238
+00:17:03,590 --> 00:17:07,010
+I hope لكن في بعض الأسئلة ال non-homogeneous ممكن
+
+239
+00:17:07,010 --> 00:17:11,630
+التحويل يكون أريحت للناس زي ما هتشوف عندما تحلوا
+
+240
+00:17:11,630 --> 00:17:16,530
+المثال على هذه الجزئية في ال section وهي أخر جزئية
+
+241
+00:17:16,530 --> 00:17:21,050
+في section 55هنا الفكرة ان كيف نحوّل الـ Euler
+
+242
+00:17:21,050 --> 00:17:23,670
+equation to an equation with constant coefficients
+
+243
+00:17:23,670 --> 00:17:27,630
+طبعا الشرح النظري موجود في المحاضرة المصورة بس
+
+244
+00:17:27,630 --> 00:17:32,290
+ناخد احنا اللي هو النقطة الأساسية فيه وقولك لو
+
+245
+00:17:32,290 --> 00:17:34,890
+برضنا ان عندنا Euler equation هي X تربيع Y دبل
+
+246
+00:17:34,890 --> 00:17:38,050
+رمزاد Alpha X Y برمزاد Beta Y بسوء Zero و X أكبر
+
+247
+00:17:38,050 --> 00:17:40,890
+من Zero عندنا X أكبر من Zero فبالتالي مش هيكون
+
+248
+00:17:40,890 --> 00:17:44,960
+داعي الخطة تبقى مطلقة لكن حاطينها مش خطأعشان أحوّل
+
+249
+00:17:44,960 --> 00:17:47,820
+هذه الـ differential equation بالصورة أربعة و
+
+250
+00:17:47,820 --> 00:17:49,220
+أخرجت من الصورة أربعة و أخرجت من الصورة أربعة و
+
+251
+00:17:49,220 --> 00:17:49,300
+أخرجت من الصورة أربعة و أخرجت من الصورة أربعة و
+
+252
+00:17:49,300 --> 00:17:50,040
+أخرجت من الصورة أربعة و أخرجت من الصورة أربعة و
+
+253
+00:17:50,040 --> 00:17:51,000
+أخرجت من الصورة أربعة و أخرجت من الصورة أربعة و
+
+254
+00:17:51,000 --> 00:17:52,380
+أخرجت من الصورة أربعة و أخرجت من الصورة أربعة و
+
+255
+00:17:52,380 --> 00:17:53,380
+أخرجت من الصورة أربعة و أخرجت من الصورة أربعة و
+
+256
+00:17:53,380 --> 00:17:55,160
+أخرجت من الصورة أربعة و أخرجت من الصورة أربعة و
+
+257
+00:17:55,160 --> 00:18:00,580
+أخرجت من الصورة أربعة و أخرجت من الصورة أربعة و
+
+258
+00:18:00,580 --> 00:18:06,900
+أخرجت من الصورة
+
+259
+00:18:06,900 --> 00:18:12,810
+أربعةولمّا ترجع للشرح النظرية تحول المعادلة اللي
+
+260
+00:18:12,810 --> 00:18:15,250
+عندنا اللي هي ال Euler للمعادلة الرقم 4 اللي هي
+
+261
+00:18:15,250 --> 00:18:20,930
+هذا الكون الصينكوفيش هذا تلاقظوا هنا يكون معامل
+
+262
+00:18:20,930 --> 00:18:24,390
+المستقل التاني أنا واحد ومعامل المستقل الأولى
+
+263
+00:18:24,390 --> 00:18:27,690
+Alpha نقص واحد طبعا هنا independent variable Y و
+
+264
+00:18:27,690 --> 00:18:30,070
+independent X هنا independent variable Y و
+
+265
+00:18:30,070 --> 00:18:34,180
+independent Z فتحل هذهخلاص احنا حاليًا بنواجه
+
+266
+00:18:34,180 --> 00:18:38,260
+السؤال هذا بننساه مؤقتًا بنجد السؤال اللي هي
+
+267
+00:18:38,260 --> 00:18:42,160
+بالحلو عادي هذا حلو بيكون زي شطر ثلاثة بظهر عنكم
+
+268
+00:18:42,160 --> 00:18:45,440
+homogenous بالحلو باضطر لعمل homogenous لو كنا non
+
+269
+00:18:45,440 --> 00:18:47,660
+homogenous بالحلو ، لو كنا non homogenous بحضر
+
+270
+00:18:47,660 --> 00:18:52,120
+بالحلو عادي وبعمل حلو بالآخر لرجع نعوض انا عند z
+
+271
+00:18:52,120 --> 00:18:56,480
+بجيبها و بحط بدلها لل x لأن الحل هنحط على y كده
+
+272
+00:18:56,480 --> 00:19:01,620
+اللي في zبنزله ونحطه هنا لنفسه ثاني بحنشوف الأسئلة
+
+273
+00:19:01,620 --> 00:19:05,060
+في صفحة 279 في مجموع من الأسئلة أي سؤال 25 كان
+
+274
+00:19:05,060 --> 00:19:07,840
+مثال السؤال بيقول transform the following
+
+275
+00:19:07,840 --> 00:19:10,100
+differential equation into a differential equation
+
+276
+00:19:10,100 --> 00:19:13,100
+with constant coefficient then solve it طبعا
+
+277
+00:19:13,100 --> 00:19:15,580
+السؤال قال بحول إذا انت مش برضه بتكون تحول لكن لو
+
+278
+00:19:15,580 --> 00:19:18,300
+السؤال قال solve فانت بتكون عندك طريقة تقلق بتحول
+
+279
+00:19:18,300 --> 00:19:25,210
+أو بتدخل بالطريقة الصادقة هذه المعادلةF²YW'-3XY'
+
+280
+00:19:25,490 --> 00:19:30,290
+-4YY بساوية لل X هنفترض احنا Z تساوية لل X فحالينا
+
+281
+00:19:30,290 --> 00:19:33,230
+ناخد Z تساوية لل X ع طول تتحولها تتأكد دايما ان
+
+282
+00:19:33,230 --> 00:19:37,610
+هذا معامل واحد فبصي لان مشتقتنا ال Y بالنسبة ل Z
+
+283
+00:19:37,610 --> 00:19:42,010
+زائد Alpha في السؤال هذا تلقاه عضو سالب تلاتة
+
+284
+00:19:42,010 --> 00:19:45,410
+فتلاحظوا انا يبقى نرجع لها دايما Alpha نقص واحدهذه
+
+285
+00:19:45,410 --> 00:19:48,290
+المشتركة الثانية لو Y بالنسبة لـ Z زائد Alpha نقص
+
+286
+00:19:48,290 --> 00:19:50,310
+واحد فالـ Alpha عندنا في السؤال أيضًا سلب تلاتة
+
+287
+00:19:50,310 --> 00:19:53,690
+سنقح منه سلب واحد سنقح منه سلب أربعة في المشتركة
+
+288
+00:19:53,690 --> 00:19:58,650
+الأولى ل Y بالنسبة لZ زائد Beta بيطا أربعة Y بيطا
+
+289
+00:19:58,650 --> 00:20:01,430
+أربعة Y بيساوي و اتلاعظوا ان هذا الاتصال نون
+
+290
+00:20:01,430 --> 00:20:04,030
+هموجينيس الطرف اللي اي من الاتصال نون هموجينيس تام
+
+291
+00:20:04,030 --> 00:20:09,980
+لل X وانا فرضين ان Z تساوي ل X تساوي Zبتلحظة
+
+292
+00:20:09,980 --> 00:20:14,500
+اتحولت طبعا انا بانصح معرفة ال non homogeneous حتى
+
+293
+00:20:14,500 --> 00:20:17,720
+لو ما طلبتش تحويل و غالب سؤال فتطلع هل انا لو
+
+294
+00:20:17,720 --> 00:20:22,100
+استخدمت التحويل هذه بتخلي الطرف اليمين ابسط ليه
+
+295
+00:20:22,100 --> 00:20:25,700
+اللي هو الحالات اللي درسناها لحل ال non
+
+296
+00:20:25,700 --> 00:20:28,220
+homogeneous في كل من المعتليات polynomial او
+
+297
+00:20:28,220 --> 00:20:31,260
+exponential او sine او cosine او عصر جمعهم و ضربهم
+
+298
+00:20:31,500 --> 00:20:34,400
+هي مرة تكون أفضل لأنه لو انا بدي أحلها بدون تحويلة
+
+299
+00:20:34,400 --> 00:20:37,320
+أو لو قررت بتطلب تحويلة هذه لازم أحلها باستخدام
+
+300
+00:20:37,320 --> 00:20:40,320
+طريقة ال variation لأن اتلاعظوا انتوا عندكم ال
+
+301
+00:20:40,320 --> 00:20:43,320
+coefficient السوابط فلازم تحلها باستخدام طريقة ال
+
+302
+00:20:43,320 --> 00:20:45,320
+variation ومرة تلعبت ال variation ممكن في مشاكل
+
+303
+00:20:45,320 --> 00:20:49,800
+اللي هو في انا عندك تكتملات ممكن تكون فيها صعوبة
+
+304
+00:20:49,800 --> 00:20:52,680
+فلكن هتلاعظوا انتوا لو ما طلبتش السؤال نفترض
+
+305
+00:20:52,680 --> 00:20:57,400
+السؤال تحل بطريقة هذه انك تحول انت عندك مخيار
+
+306
+00:20:57,400 --> 00:21:00,640
+بطريقة تانيةماتحولش و هتحول بال variation فتلاحظوا
+
+307
+00:21:00,640 --> 00:21:04,460
+عندما حولنا صارت انا زد و هذا بالنسبالي من درجة
+
+308
+00:21:04,460 --> 00:21:07,420
+الأولى فسهل لأنه عندنا طريقة اللي هو understand
+
+309
+00:21:07,420 --> 00:21:10,180
+coffee science هناخد فرض اللي هو بالإنجليزية و
+
+310
+00:21:10,180 --> 00:21:12,740
+بعدين نشتغل و نعور و نكون أبسط من انه ممكن يطلع
+
+311
+00:21:12,740 --> 00:21:16,780
+معايا تكاملين احدهم ماعرفش حله او يكون في مشكلة
+
+312
+00:21:16,780 --> 00:21:21,240
+يعني سباك فمرات التحويل حتى لو ما طلبش منك تحول
+
+313
+00:21:21,240 --> 00:21:23,700
+ممكن انك تتحول لكن لو فرضنا ما طلبش تحويل فانت
+
+314
+00:21:23,700 --> 00:21:26,050
+ممكن تحل بالطريقة أو بالطبع الحاجةفي الحالة دي لو
+
+315
+00:21:26,050 --> 00:21:28,050
+ما طلبش تحويل لازم تحوله بالطريقة الـ Variation
+
+316
+00:21:28,050 --> 00:21:31,770
+السؤال اللي هو هنا لحظة لن ال X و ال coefficient
+
+317
+00:21:31,770 --> 00:21:35,230
+بالثورة بيستمع .. مهما ينفع تحويل ال Underscore ال
+
+318
+00:21:35,230 --> 00:21:38,370
+coefficient دلوقت سؤالنا احنا فرضنا زي الثورة لن
+
+319
+00:21:38,370 --> 00:21:41,750
+ال X تحول بهذه الصورة بسرعه هي اللي راح تحول
+
+320
+00:21:42,060 --> 00:21:44,700
+بتلاحظوا أن هذا السؤال صار سؤال عادي من دراسته من
+
+321
+00:21:44,700 --> 00:21:48,580
+سيكشن تلاتة ستة Second Order Linear Non
+
+322
+00:21:48,580 --> 00:21:51,480
+-homogeneous والكفة كانت ثوابتها من واحد سلب أربع
+
+323
+00:21:51,480 --> 00:21:54,060
+أربع وبتلاحظوا Non-homogeneous عبارة عن بلينو من
+
+324
+00:21:54,060 --> 00:21:57,380
+درجة الأولى فممكن الحلو زي ما درسنا من تلاتة ستة
+
+325
+00:21:57,380 --> 00:21:58,980
+أول حاجة بناخد ال homogeneous corresponding
+
+326
+00:21:58,980 --> 00:22:03,780
+homogeneous هيها بناخد ال characteristic له R
+
+327
+00:22:03,780 --> 00:22:06,700
+تلاتة بنقص أربع زاد أربع سوى Zero وهذا بيطلع برقعة
+
+328
+00:22:06,700 --> 00:22:12,150
+كاملة بيطلع R واحد بيسوء R اتنين بيسوء اتنينبنجيب
+
+329
+00:22:12,150 --> 00:22:15,550
+الـ complement of E وش اللي هو حل الـ homogenes YC
+
+330
+00:22:15,550 --> 00:22:19,570
+بيساوي C1 في E قصة 2Z إذا C2 في Z في E قصة 2Z
+
+331
+00:22:19,570 --> 00:22:22,690
+تلاحظوا أننا رجعنا التعويذ اللي درسناه في الشبتر
+
+332
+00:22:22,690 --> 00:22:27,950
+تلاتة E قصة 2Z و تاني E قصة 2Z لعشان بتشابه و
+
+333
+00:22:27,950 --> 00:22:32,590
+روحنا ندرس من تاني في Z هيك بكل حلولة احنا ال
+
+334
+00:22:32,590 --> 00:22:35,650
+homogenes طب ده حللنا ال homogenes زي ما درسناه
+
+335
+00:22:35,650 --> 00:22:38,470
+بنخرج قرار بيقول انهم من درجة الأولى إذا بنخرج Y
+
+336
+00:22:38,470 --> 00:22:39,850
+بيقول انهم من درجة الأولى
+
+337
+00:22:51,680 --> 00:22:56,440
+عشان انا اجيب قيمة a وb بدي اعوض فى المعادلة عشان
+
+338
+00:22:56,440 --> 00:22:59,540
+اعوض فى هنا لازم اجيب المستقل الاولى والمستقل
+
+339
+00:22:59,540 --> 00:23:01,720
+التانى اجيب المستقل الاولى والمستقل التانى و اعوض
+
+340
+00:23:01,720 --> 00:23:05,120
+و اقوم بمعادلات عشان اطلع قيم ال coefficient a وb
+
+341
+00:23:05,120 --> 00:23:08,980
+فهذه المستقل الاولى و المستقل التانى اعوضنا فى
+
+342
+00:23:08,980 --> 00:23:13,640
+المعادلةهو بيطلع معانا بعد ما نعوض المعادلة دي أنه
+
+343
+00:23:13,640 --> 00:23:21,110
+بيساوي Z المعامل Z هنا عندي 4Aهي 4A هيساوية حجمنا
+
+344
+00:23:21,110 --> 00:23:24,770
+A هيساوية ربع و الحد المطلق هنا صفر و الحد المطلق
+
+345
+00:23:24,770 --> 00:23:29,330
+عبارة عن 4B نقص 4A هيساوية صفر و 4A هيساوية ربع ثم
+
+346
+00:23:29,330 --> 00:23:33,050
+أنا عندي ال YB بيساوية ربع Z زائد ربع هايها اللي
+
+347
+00:23:33,050 --> 00:23:38,090
+عوض عن A و B تلعنى 2 ربع فال Y بيساوي مجموع الـ
+
+348
+00:23:38,090 --> 00:23:41,530
+complement لزاد ال particle YC زاد YB فبيساوي C1
+
+349
+00:23:41,530 --> 00:23:46,010
+Eو C2 Z زائد C2 Z E و C2 Z زائد ربع Z زائد ربع
+
+350
+00:23:48,010 --> 00:23:53,510
+المعادلة التفضلية هذه الـ Non-homogeneous الـ
+
+351
+00:23:53,510 --> 00:23:56,550
+coefficient عندك ثوابت هذه إذا أردنا إعادة الحل
+
+352
+00:23:56,550 --> 00:24:00,090
+الأصلية نجرب تعويضة بجيب ما أنا في الحل اللي طلعته
+
+353
+00:24:00,090 --> 00:24:04,190
+بجيب مزد و بحط مضالها لل X فلما نجيب مزد و نحط
+
+354
+00:24:04,190 --> 00:24:07,790
+مضالها لل X بيصير عند بالصورة هذه العوضنا جيبنا زد
+
+355
+00:24:07,790 --> 00:24:11,250
+و حطينا لل X هاي الحل ممكن نبسطه من قواصة الـ
+
+356
+00:24:11,250 --> 00:24:13,650
+Exponential Earth Map E أساتين لل X هي عبارة عن X
+
+357
+00:24:13,650 --> 00:24:14,130
+تربيع
+
+358
+00:24:23,860 --> 00:24:29,520
+هذا هو الحل للمعادل اللي تفضلي عنهاطبعاً بدعوكم
+
+359
+00:24:29,520 --> 00:24:36,000
+تحلوا الأمثلة اللي حدثكم و تحلوها لـ constant
+
+360
+00:24:36,000 --> 00:24:41,800
+coefficient و تقرروا بين جوابكم باستخدام الطريقة
+
+361
+00:24:41,800 --> 00:24:45,020
+الأولى و الطريقة الثانية لتحويل المعادلة الطبالية
+
+362
+00:24:45,020 --> 00:24:47,980
+لأولى لمعادلة جديدة تكون ال coefficient توعونها
+
+363
+00:24:47,980 --> 00:24:52,600
+ثوابتفي نهاية هذا الفيديو أشكركم حسنا استماعكم
+
+364
+00:24:52,600 --> 00:24:56,280
+وبدأ هذا الفيديو نكون قد أنهينا مناقشة شبطر خمسة
+
+365
+00:24:56,280 --> 00:24:59,700
+وهو شبطر رمهم الارض الأفكار واطلعتوا أنه عن سيشين
+
+366
+00:24:59,700 --> 00:25:03,840
+خمسة خمسة بيغطيلي شبطر لتكامل لإنه ممكن نحول
+
+367
+00:25:03,840 --> 00:25:06,880
+المعادلة القضية اللي فيه متعاونها من التوابط إلى
+
+368
+00:25:06,880 --> 00:25:09,540
+معادلة القضية كونكوا في متعاونة توابط متالي بيصير
+
+369
+00:25:09,540 --> 00:25:11,920
+السؤال اللي عندنا all our questions زي الأسئلة
+
+370
+00:25:11,920 --> 00:25:15,980
+درسناها في شبطة تلاتة في النهاية اتمنى لكم التوضيح
+
+371
+00:25:15,980 --> 00:25:17,780
+والسلام عليكم ورحمة الله وبركاته
+
diff --git a/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/Pzo4SnfsK1Y_raw.srt b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/Pzo4SnfsK1Y_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9b89e329b20ac15c7716ad2af3464e419e326322
--- /dev/null
+++ b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/Pzo4SnfsK1Y_raw.srt
@@ -0,0 +1,828 @@
+1
+00:00:05,040 --> 00:00:07,620
+بسم الله الرحمن الرحيم ، عزيزي الله والسلام عليكم
+
+2
+00:00:07,620 --> 00:00:11,960
+ورحمة الله وبركاته في هذا الفيديو سنناقش ان شاء
+
+3
+00:00:11,960 --> 00:00:16,540
+الله Chapter 4 سنناقش سيكشن الأول والثاني فيه
+
+4
+00:00:16,540 --> 00:00:21,000
+سيكشن أربع واحد عنوان General Theory of the Nth
+
+5
+00:00:21,000 --> 00:00:26,060
+Order Linear Equations في هذا السيكشن أهم نقطتين
+
+6
+00:00:26,060 --> 00:00:32,290
+هنرجعهم هو كيف إيجاد الفترة التي يقع فيها الحلهو
+
+7
+00:00:32,290 --> 00:00:35,770
+حساب الهونسكان لحلول المعادلة الفضلية لكنها من
+
+8
+00:00:35,770 --> 00:00:39,330
+درجات أعلى الفصل التالت كان من درجة الثانية لكن
+
+9
+00:00:39,330 --> 00:00:42,970
+بعد الفصل سيكون من درجات أعلى من التانية التالتة و
+
+10
+00:00:42,970 --> 00:00:48,110
+الرابعة الاخرى هذه السؤال يترمين الـintervals
+
+11
+00:00:48,110 --> 00:00:50,870
+where the solutions of the differential equation
+
+12
+00:00:50,870 --> 00:00:56,070
+exist هنأخد بالـdifferential equation أمامنا x-1 y
+
+13
+00:00:56,070 --> 00:00:59,690
+for the derivative مستقر 4 زائد x زائد 1 y زائد 1
+
+14
+00:00:59,690 --> 00:01:05,230
+زائد 2 x y بصوت 0عشان نجد الحل نفس الاسلوب ذرسناه
+
+15
+00:01:05,230 --> 00:01:10,710
+في شكتر 3 هناخد P of X انه طبعا ناتجة من قسم معامل
+
+16
+00:01:10,710 --> 00:01:16,250
+وده مبرامج Z1 على X نقص 1 وده متصل على كل أرمى على
+
+17
+00:01:16,250 --> 00:01:19,010
+أسفار المقام دي و الواحد متصل على الفترة من ساعة 2
+
+18
+00:01:19,010 --> 00:01:24,030
+إلى 1 إتحاد من 1 لمّا لا نخيه P of X بيساوي tan of
+
+19
+00:01:24,030 --> 00:01:29,380
+X مكسوم على X نقص 1متصل على كل R مادة أسفار اللي
+
+20
+00:01:29,380 --> 00:01:35,460
+هو المقام اللي هو 1 بإضافة لأسفار كزاري
+
+21
+00:01:35,460 --> 00:01:40,000
+X لأن X هي عبارة عن صانع كزاري X فهي مش معرفة عند
+
+22
+00:01:40,000 --> 00:01:43,080
+الـ بعل اتنين و ثالث بعل اتنين و تلاتة بعل اتنين و
+
+23
+00:01:43,080 --> 00:01:45,760
+ثالث تلاتة او ثالث اتنين إلى لا نهاية لذلك أنا
+
+24
+00:01:45,760 --> 00:01:49,440
+عندي عدد لا نهاية من النقاط اللي بتكون دالة هذه هي
+
+25
+00:01:49,440 --> 00:01:54,420
+المتصلة عليها تلاتة جو في X أنا عندي تسوية 0 متصلة
+
+26
+00:01:54,420 --> 00:02:00,280
+على كل Rتقاطر تلت بطرات تقاطر تلت بطرات تقاطر تلت
+
+27
+00:02:00,280 --> 00:02:00,720
+بطرات تقاطر تلت بطرات تقاطر تلت بطرات تقاطر تلت
+
+28
+00:02:00,720 --> 00:02:02,640
+بطرات تقاطر تلت بطرات تقاطر تلت بطرات تقاطر تلت
+
+29
+00:02:02,640 --> 00:02:08,180
+بطرات تقاطر تلت بطرات تقاطر تلت بطرات تقاطر تلت
+
+30
+00:02:08,180 --> 00:02:11,760
+بطرات تقاطر تلت بطرات تقاطر تلت بطرات تقاطر تلت
+
+31
+00:02:11,760 --> 00:02:14,240
+بطرات تقاطر تلت بطرات تقاطر تلت بطرات تقاطر تلت
+
+32
+00:02:14,240 --> 00:02:21,760
+بطرات تقاطر تلت بطرات تقاطر تلت بطرات تقاطر
+
+33
+00:02:22,410 --> 00:02:25,410
+طبعا لا يوجد عندي شرط initial condition فبالتالي
+
+34
+00:02:25,410 --> 00:02:31,670
+الحل هيكون موجود في أي فترة عبارة عن هأتمثل من ال
+
+35
+00:02:31,670 --> 00:02:36,930
+solution on R على كل R معدى النقاط الموجودة عنده
+
+36
+00:02:36,930 --> 00:02:40,090
+وهذا عددها نهائم من الفترات طبعا لو كان عندنا شرط
+
+37
+00:02:40,090 --> 00:02:43,650
+هناخده بين تقعة D0 نختار الفترة الموجودة لكن في
+
+38
+00:02:43,650 --> 00:02:45,350
+هذه السؤال مافيش shape هناخده من كلها
+
+39
+00:02:49,310 --> 00:02:53,690
+سؤال تاني يذكرنا الموضوع اللي هو الـ Fundamental
+
+40
+00:02:53,690 --> 00:02:57,230
+Solutions وRolling Scans لآخره لكن هذا قد علنا
+
+41
+00:02:57,230 --> 00:03:00,870
+احنا المعادلة الفضلية هذه من درجة افتحار فانتقل
+
+42
+00:03:00,870 --> 00:03:03,630
+بثلاث فلول طالب من اتأكد ان الواحد والاكس والاكس
+
+43
+00:03:03,630 --> 00:03:07,610
+تكهيب هم حلول المعادلة الفضلية هذه بعد ذلك نجيب
+
+44
+00:03:07,610 --> 00:03:12,910
+المحدث Rolling Scans اللي هو عبارة عن محدث Rolling
+
+45
+00:03:12,910 --> 00:03:17,410
+Scans فزي ما انتوا شايفين question 2to provide
+
+46
+00:03:17,410 --> 00:03:20,810
+that the given functions are solutions of the
+
+47
+00:03:20,810 --> 00:03:23,830
+differential equation and determine their own scan
+
+48
+00:03:23,830 --> 00:03:27,710
+عشان أتأكد من الحلول بطاولة مباشرة هناخد الحل
+
+49
+00:03:27,710 --> 00:03:30,670
+الأول Y بسوء واحد Y واحد بسوء واحد يجب أن نجد
+
+50
+00:03:30,670 --> 00:03:33,070
+المشتقة الأولى المشتقة التانية وتالية في الأسفار
+
+51
+00:03:33,070 --> 00:03:38,690
+فبطاولة نستخدم واحد Y اتنين بسوء X فY اتنين براعي
+
+52
+00:03:38,690 --> 00:03:40,730
+بسوء واحد Y اتنين واحد بسوء
+
+53
+00:04:05,070 --> 00:04:06,470
+Y1Y2Y3Y4Y5Y6Y7Y8Y9Y10Y11Y12Y12Y13Y14Y14Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15Y15
+
+54
+00:04:07,450 --> 00:04:10,430
+عشان نحسب الـRolls-Gaunt سبق ان اتعودنا نضع
+
+55
+00:04:10,430 --> 00:04:13,270
+الـRolls-Gaunt هنا عندي ثلاثة في الأول ومنها ثلاثة
+
+56
+00:04:13,270 --> 00:04:17,390
+functions سيكون عبارة عن مصر محدد ثلاثة في ثلاثة
+
+57
+00:04:17,390 --> 00:04:21,290
+في الثلاثة الأول نضع الدولة الأصلية الواحد والاكس
+
+58
+00:04:21,290 --> 00:04:24,750
+والاكس تاكيب ثالثين مشتقة الأولى والثالث مشتقة
+
+59
+00:04:24,750 --> 00:04:28,290
+الثانية فالواحد مشتقة الصفر والاكس مشتقة واحد
+
+60
+00:04:28,290 --> 00:04:31,350
+والاكس تاكيب مشتقة ثلاث اكس تارفية صفر مشتقة صفر
+
+61
+00:04:31,350 --> 00:04:35,050
+الواحد صفر والتالت اكس تارفية مشتقة ستة اكس وهذا
+
+62
+00:04:35,050 --> 00:04:41,480
+محددزي ما درسوه في الثانوية لإنه قطرية قطر الرئيسي
+
+63
+00:04:41,480 --> 00:04:45,140
+كله تحت أصحاب فالمحادث تبقى بالساوية حاصر 4 أناصر
+
+64
+00:04:45,140 --> 00:04:48,700
+قطر رئيسي 1 في 1 و 6x بطاعة 6x وهذه لا تسوى سفر
+
+65
+00:04:48,700 --> 00:04:52,000
+دائما في حالة واحدة ما تكون x تسوى سفر فبالتالي
+
+66
+00:04:52,000 --> 00:04:55,720
+يبقى السؤال هذه هل هذه قانونية سلوشية ستكون إجابة
+
+67
+00:04:55,720 --> 00:05:00,220
+نعم لأن المحادث لها لا يسوى سفر ويسوى سفر في حالة
+
+68
+00:05:00,220 --> 00:05:03,800
+واحدة ما تكون x تسوى سفر لكن لأي قيمة تانية غير X
+
+69
+00:05:03,800 --> 00:05:08,510
+تسوى سفر لا يسوى سفربالتالي انا عند ال y1 و y2 و
+
+70
+00:05:08,510 --> 00:05:13,410
+y3 اللي هم عبارة عن x و x3 و x .. اللي هم عبارة عن
+
+71
+00:05:13,410 --> 00:05:16,730
+1 و x و x3 و x3 و x3 و x3 و x3 و x3 و x3 و x3 و x3
+
+72
+00:05:16,730 --> 00:05:20,070
+و x3 و x3 و x3 و x3 و x3 و x3 و x3 و x3 و x3 و x3
+
+73
+00:05:20,070 --> 00:05:20,370
+و x3 و x3 و x3 و x3 و x3 و x3 و x3 و x3 و x3 و x3
+
+74
+00:05:20,370 --> 00:05:20,370
+و x3 و x3 و x3 و x3 و x3 و x3 و x3 و x3 و x3 و x3
+
+75
+00:05:20,370 --> 00:05:20,370
+و x3 و x3 و x3 و x3 و x3 و x3 و x3 و x3 و x3 و x3
+
+76
+00:05:20,370 --> 00:05:28,030
+و x3 و x3 و x3 و x3 و x3 و x3 و x3 و x3 و x3 و x3
+
+77
+00:05:28,030 --> 00:05:33,210
+و xهذا الـ section هو تعميم لـ three sections
+
+78
+00:05:33,210 --> 00:05:36,330
+درسناه في شبكة التلاتة حيث درسنا في شبكة التلاتة
+
+79
+00:05:36,330 --> 00:05:40,550
+طلول معادلة تفضلي من درجة تانية تكون متجانسة
+
+80
+00:05:40,550 --> 00:05:42,550
+هموجينية والـ coefficient بتاعنا كان الـ constants
+
+81
+00:05:42,550 --> 00:05:45,990
+هنا كنا نجيب characteristic equation و نتكلم من
+
+82
+00:05:45,990 --> 00:05:49,150
+درجة تانية و نحللها لأما بالتحليل أو بالقانون
+
+83
+00:05:49,150 --> 00:05:52,050
+العام و يمكن نجيب أخرها وكان عندنا تلاتة حلالة إذا
+
+84
+00:05:52,050 --> 00:05:56,030
+كنا نكون اتنين مثل المختلفين او اتنين complex
+
+85
+00:05:56,030 --> 00:06:01,710
+conjugate complex او مقراطفينأو يكون واحد مقرر في
+
+86
+00:06:01,710 --> 00:06:04,110
+هذا section اربعة اتنين هيدينا نفس الأفكار لكن
+
+87
+00:06:04,110 --> 00:06:07,470
+بقرة عامة درجات اعلى من الدرجات التانية فهتكون
+
+88
+00:06:07,470 --> 00:06:10,730
+عندى من الدرجات التالتة او اعلى فممكن تكون عندى في
+
+89
+00:06:10,730 --> 00:06:15,270
+الحالة هذه اكتر من نوع يعني ممكن يكون عندنا في حل
+
+90
+00:06:15,270 --> 00:06:19,290
+السؤال two real و two complex او real مع complex
+
+91
+00:06:19,290 --> 00:06:24,750
+او يكون عندنا تلاتة يكون اتنين منهم repeated و
+
+92
+00:06:24,750 --> 00:06:29,680
+مختلفهنحنجم أكتر من النوع هنشوف هذه من خلال
+
+93
+00:06:29,680 --> 00:06:32,580
+الأمثلة نبدأ بالمثال الأول find the general
+
+94
+00:06:32,580 --> 00:06:35,360
+solution of the differential equation y cross
+
+95
+00:06:35,360 --> 00:06:38,580
+derivative plus y triple prime نقص 7y double prime
+
+96
+00:06:38,580 --> 00:06:42,180
+نقص y prime ده 6y بيسوي 0 أول حد بيجيب ال
+
+97
+00:06:42,180 --> 00:06:45,280
+characteristics equations اللي شايفه ال y cross
+
+98
+00:06:45,280 --> 00:06:50,340
+derivative تبقى 4 معملها 1 أي واحد وy triple prime
+
+99
+00:06:50,340 --> 00:06:59,440
+معملها 1 أي واحدوY' بدلها وR تربيع وهي 7 سالب سبعة
+
+100
+00:06:59,440 --> 00:07:06,440
+حاليا ونقص R بدل سالب Y' زي 6 و1 زي 6 لأن و1 بدل Y
+
+101
+00:07:06,440 --> 00:07:10,820
+هي 0 وهي R فهذه ال characteristic قويشة انها من
+
+102
+00:07:10,820 --> 00:07:16,320
+درجة الرابعة فهي تدورها بياخد وقت في هذا النوع من
+
+103
+00:07:16,320 --> 00:07:20,940
+المثال هو ان انت تدورها اول
+
+104
+00:07:20,940 --> 00:07:26,480
+فكرة لموضوع زي هذهلما نكون عندنا هنا حد مطلق يتوقع
+
+105
+00:07:26,480 --> 00:07:32,100
+أحد قواسمه قواسم الـ 6 في هذه الحالة هو من أحد
+
+106
+00:07:32,100 --> 00:07:36,600
+جذور المعادلة فنذهب ونجيب قواسم الـ 6 قواسم الـ 6
+
+107
+00:07:36,600 --> 00:07:43,400
+زاد ونقص 1 وزاد ونقص 2 وزاد ونقص 3 وزاد ونقص 6
+
+108
+00:07:43,400 --> 00:07:47,540
+نبدأ
+
+109
+00:07:47,540 --> 00:07:50,910
+نعوض فيها واحدة واحدةفي المعادلة بدل الار بضع
+
+110
+00:07:50,910 --> 00:07:54,070
+الهدف واحد عوضنا بالواحد تصبح صفر اذا الار بصوح
+
+111
+00:07:54,070 --> 00:07:58,310
+واحدة جدار عوضنا بالسلب واحد تصبح صفر اذا الار
+
+112
+00:07:58,310 --> 00:08:03,150
+بصوح سلب واحد جدار عوضنا بالاتنين تصبح جدار اذا
+
+113
+00:08:03,150 --> 00:08:07,330
+الار بصوح اتنين جدار اذا اتنين جدار رابع عوضنا
+
+114
+00:08:07,330 --> 00:08:11,610
+بالسلب الاتنين تصبح ليس هو صفر فهو ليس جدار عوضنا
+
+115
+00:08:11,610 --> 00:08:15,840
+بالتلتة تصبح ليس هو صفر فهو تلت وليس جدارالنهوض
+
+116
+00:08:15,840 --> 00:08:18,120
+بال-3 في ال characteristic equation يظهر بالصفر
+
+117
+00:08:18,120 --> 00:08:19,860
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+118
+00:08:19,860 --> 00:08:22,880
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+119
+00:08:22,880 --> 00:08:25,060
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+120
+00:08:25,060 --> 00:08:25,480
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+121
+00:08:25,480 --> 00:08:26,880
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+122
+00:08:26,880 --> 00:08:33,530
+صفر صفر صفر صفر صفر صفر صفر صفزي ما درسنا في شطرة
+
+123
+00:08:33,530 --> 00:08:36,490
+تلاتة الـ General solution هيكون Y بسوة بالـC1 في
+
+124
+00:08:36,490 --> 00:08:43,290
+E واسة T بمعامل T1 وR1 ثم C2 في E واسة T هو معامل
+
+125
+00:08:43,290 --> 00:08:51,310
+T1 ثم C3 في E واسة T ثم C4 في E واسة T ثم C4 في E
+
+126
+00:08:51,310 --> 00:08:52,790
+واسة T ثم C4 في E واسة T ثم C4 في E واسة T ثم C4
+
+127
+00:08:52,790 --> 00:08:53,130
+في E واسة T ثم C4 في E واسة T ثم C4 في E واسة T ثم
+
+128
+00:08:53,130 --> 00:08:53,130
+C4 في E واسة T ثم C4 في E واسة T ثم C4 في E واسة T
+
+129
+00:08:53,130 --> 00:08:57,510
+ثم C4 في E واسة T ثم C4 في E واسة T ثم C4 في E
+
+130
+00:08:57,510 --> 00:09:01,160
+واسة TFind the general solution of the
+
+131
+00:09:01,160 --> 00:09:03,760
+differential equation y for derivative نقص واحد
+
+132
+00:09:03,760 --> 00:09:06,680
+بيساوي Zero طبعا ال characteristics بطحنا أسهل من
+
+133
+00:09:06,680 --> 00:09:10,120
+السابقة R بيساوي أربع نقص واحد بيساوي Zero فأظن
+
+134
+00:09:10,120 --> 00:09:13,020
+هذا الفرق بين المربعين R تربيه نقص واحد فR تربيه
+
+135
+00:09:13,020 --> 00:09:15,160
+صرف واحد بيساوي صفر وR تربيه صفر صفر لأن مجبوس
+
+136
+00:09:15,160 --> 00:09:17,940
+الأول بيساوي صفر أو التاني بيساوي صفر مجبوس الأول
+
+137
+00:09:17,940 --> 00:09:20,300
+بيساوي صفر فمع أن R بيساوي ثانه نقص واحد فهذا
+
+138
+00:09:20,300 --> 00:09:23,960
+الجدرين هندي R واحد واحد وR تنين بيساوي واحدالثاني
+
+139
+00:09:23,960 --> 00:09:27,040
+R بيزد واحد بيسوي صفر بيدينا ال R بيزد و نقص I
+
+140
+00:09:27,040 --> 00:09:32,220
+يعني أنا عندي Complex I و سلب I هاي بتقعد تدور R
+
+141
+00:09:32,220 --> 00:09:36,060
+واحد واحد R اتنين سلب واحد R تلاتة I و R اربعة سلب
+
+142
+00:09:36,060 --> 00:09:40,220
+I و اتلاقوا هذا في عندى حالتين الأول و التاني
+
+143
+00:09:40,220 --> 00:09:43,000
+عبارة عن دي المختلفين و التالت الرابع Complex كنت
+
+144
+00:09:43,000 --> 00:09:47,440
+كده فهندر دمج لحالتين الحل في Complex و في Real
+
+145
+00:09:47,440 --> 00:09:51,160
+ففي شطة تلات كاشر لكل نوع لحاله لأنه بس عندي
+
+146
+00:09:51,160 --> 00:09:58,730
+حالتينطبعا نبدأ ناخد ال general solution y بساوة
+
+147
+00:09:58,730 --> 00:10:02,090
+بالـ c1 في ايه؟ بالنسبالي الـ real بدون اسم E of T
+
+148
+00:10:02,090 --> 00:10:10,830
+زي C2 في E سالب T فبصير
+
+149
+00:10:10,830 --> 00:10:13,490
+عند ال general solution y بساوة بالC1 في E of T زي
+
+150
+00:10:13,490 --> 00:10:18,900
+C2 في E سالب Tزائد الكمبليكس I واسلب I بين C3 Cos
+
+151
+00:10:18,900 --> 00:10:24,900
+C4 Sin E وهكذا يوجد أربع حلول E of T وE of T جاية
+
+152
+00:10:24,900 --> 00:10:29,800
+من R1 وR2 ومن الكمبليكس I و الكونية تبع سلب I بين
+
+153
+00:10:29,800 --> 00:10:37,620
+Cos T وSin T وC1 C2 C3 C4 ناخد
+
+154
+00:10:37,620 --> 00:10:41,940
+مثال تالت Find the general solution of the
+
+155
+00:10:41,940 --> 00:10:53,130
+differential equationتقل إلى مثال تالت تقل
+
+156
+00:10:53,130 --> 00:11:01,970
+إلى مثال تالت تقل
+
+157
+00:11:01,970 --> 00:11:09,310
+إلى مثال تالت تقل إلى مثال تالت تقل إلى مثال تالت
+
+158
+00:11:09,310 --> 00:11:15,610
+تقل إلى مثال تالتR1I R2I وR3I وR4I فتنظروا الحالة
+
+159
+00:11:15,610 --> 00:11:22,330
+هي كمبليكس لكن مرتبط كمبليكس الحالة بالنسبة الأولى
+
+160
+00:11:22,330 --> 00:11:25,850
+كانت كما تعود إلي Y سواء C1 كزن T زي C2 زي C3
+
+161
+00:11:25,850 --> 00:11:29,530
+والثالث والرابع سيكونوا مثلهم C3 كزن T زي C4 كزن T
+
+162
+00:11:29,530 --> 00:11:33,650
+لكن هي الحلول متشابهة وزي ما درست فيه سبتر تلاتة
+
+163
+00:11:33,650 --> 00:11:37,810
+سنظر كل الحل في T فالأول اللي سنظر في T يصبح T كزن
+
+164
+00:11:37,810 --> 00:11:42,010
+T والثالث T سين Tهك بيطلع معنى الحل الـ General
+
+165
+00:11:42,010 --> 00:11:45,850
+solution Y تساوي C1 Cos T زي C2 Sin T زي C3 T Cos
+
+166
+00:11:45,850 --> 00:11:52,650
+T زي C4 Sin T مثال
+
+167
+00:11:52,650 --> 00:11:54,650
+الرابع Find the General solution of the
+
+168
+00:11:54,650 --> 00:11:57,490
+differential equation Y triple prime نقص خمسة وجب
+
+169
+00:11:57,490 --> 00:12:01,450
+إبران زي تلتة ويبران زي Y تساوي Zero هاي ال
+
+170
+00:12:01,450 --> 00:12:04,590
+character equation R تكعيد نقص خمسة أر ترجع زي
+
+171
+00:12:04,590 --> 00:12:08,850
+تلتة R زي واحد تساوي Zero طبعاً أنا بتنجيب تلت
+
+172
+00:12:08,850 --> 00:12:12,230
+جذور فعلازي ما أخذنا في أول مثال الواحد أنا قواسمه
+
+173
+00:12:12,230 --> 00:12:15,870
+معروف عن دي ذات ونقص واحد فنعود في الواحد يديني
+
+174
+00:12:15,870 --> 00:12:18,990
+سفر إذا الار نقص واحد او اتزاد اما لو عوضنا في
+
+175
+00:12:18,990 --> 00:12:21,210
+سالب واحد يديني سفر إذا عرفنا جدر واحد اللي هو
+
+176
+00:12:21,210 --> 00:12:25,650
+الواحد وقت بكفة ودام عرفنا جدر واحد معناه ان الار
+
+177
+00:12:25,650 --> 00:12:31,630
+نقص واحد هو عامل المعاملات في هذه المعادلة فتبتدى
+
+178
+00:12:31,630 --> 00:12:34,290
+الار تقليد نقص خمسة ار ترجع تلاتة ار تلاتة واحد
+
+179
+00:12:34,290 --> 00:12:40,390
+تصبح الار نقص واحد المعامل الار نقص واحدهو عامة من
+
+180
+00:12:40,390 --> 00:12:43,950
+الدرجة التانية فكيف نجيب وده من القسم المطولة نقسم
+
+181
+00:12:43,950 --> 00:12:46,290
+r تارجيب نقص خمسة r تارجيب ثلاثة r تارجيب نقص واحد
+
+182
+00:12:46,290 --> 00:12:48,330
+نقسمها على r نقص واحد نتالي نتالي نتالي نتالي
+
+183
+00:12:48,330 --> 00:12:49,170
+نتالي نتالي نتالي نتالي نتالي نتالي نتالي نتالي
+
+184
+00:12:49,170 --> 00:12:50,270
+نتالي نتالي نتالي نتالي نتالي نتالي نتالي نتالي
+
+185
+00:12:50,270 --> 00:12:50,810
+نتالي نتالي نتالي نتالي نتالي نتالي نتالي نتالي
+
+186
+00:12:50,810 --> 00:12:59,430
+نتالي نتالي نتالي نتالي نتالي نتالي نتالي نتالي
+
+187
+00:12:59,430 --> 00:13:06,410
+نت
+
+188
+00:13:06,530 --> 00:13:10,430
+R1 بيساوي 1 R2 بيساوي 2 زي جدر 5 وR3 بيساوي 2 نقل
+
+189
+00:13:10,430 --> 00:13:14,990
+جدر 5 تلاحظ ان تلاتة كلهم ريال ومختلفة فبالتالي
+
+190
+00:13:14,990 --> 00:13:18,630
+الحل العام هو A بيساوي C1 في E وC2 في E وC2 زي جدر
+
+191
+00:13:18,630 --> 00:13:27,270
+5 كلهم روحي T زي C3 في E وC2 نقل جدر 5 في E بهذا
+
+192
+00:13:27,270 --> 00:13:32,570
+المثال ان انها حل مثلة على كيف نحل معادلات تفاضلية
+
+193
+00:13:32,570 --> 00:13:36,280
+بدرجة أعلى من التاني من التالتة فوقلكن تكون الـ
+
+194
+00:13:36,280 --> 00:13:40,840
+coefficient توابط وتكون linear و homogenous لاحظوا
+
+195
+00:13:40,840 --> 00:13:44,020
+هنا الفرق بينه وبين شفترة تلاتة انه ممكن في الحل
+
+196
+00:13:44,020 --> 00:13:46,940
+الواحد يكون عنده اكتر منها ممكن يكون عنده ريال
+
+197
+00:13:46,940 --> 00:13:52,240
+مختلفة و repeated يمكن يكون عنده complex مع
+
+198
+00:13:52,240 --> 00:13:56,640
+repeated فلكن في شفترة تلاتة يكونوا واحد اما اثنين
+
+199
+00:13:56,640 --> 00:14:00,820
+ريال اما اثنين complex او واحد ريال مقارنةطبعاً
+
+200
+00:14:00,820 --> 00:14:04,180
+هنحتاج لو كيف الحل اللي هو هذا الموضوع في ال
+
+201
+00:14:04,180 --> 00:14:06,300
+discussion اللي جاية هتكون خطوة من الحل ال non
+
+202
+00:14:06,300 --> 00:14:09,860
+homogeneous لأن هنضغط ان شاء الله في المراجعة و
+
+203
+00:14:09,860 --> 00:14:14,500
+المناقص لل section 4 3 و 4 4 فهتكون هذه الخطوة
+
+204
+00:14:14,500 --> 00:14:17,080
+لوجهة حل ال homogeneous اللي هتسميه complementary
+
+205
+00:14:17,080 --> 00:14:21,360
+solution هتلاحظوا ان شطر 4 هو مراجعة لشطر 3 في
+
+206
+00:14:21,360 --> 00:14:23,800
+نهاية هذا الفيديو أتمنى منكم الخفيف والسلام عليكم
+
+207
+00:14:23,800 --> 00:14:24,660
+ورحمة الله وبركاته
+
diff --git a/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/QhJxFnJymCo.srt b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/QhJxFnJymCo.srt
new file mode 100644
index 0000000000000000000000000000000000000000..7b1bc0a8a57a64a691eb69dbf7079daf5ea15e22
--- /dev/null
+++ b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/QhJxFnJymCo.srt
@@ -0,0 +1,1342 @@
+1
+00:00:06,480 --> 00:00:09,500
+باسم الله الرحمن الرحيم عزيزي الطلاب السلام عليكم
+
+2
+00:00:09,500 --> 00:00:12,700
+ورحمة الله وبركاته في محاضرة جديدة في محاضرات
+
+3
+00:00:12,700 --> 00:00:16,640
+نصافر معادلة الفضل العادية في هذه المحاضرة سنأخذ
+
+4
+00:00:16,640 --> 00:00:19,100
+الجزء الثاني من section 36
+
+5
+00:00:24,740 --> 00:00:29,440
+Section 36 بعنوان Non-homogeneous equations درسنا
+
+6
+00:00:29,440 --> 00:00:34,240
+كيفية حل الـ Non-homogeneous equations باستخدام
+
+7
+00:00:34,240 --> 00:00:39,000
+طريقة الـ Undetermined coefficients حدث في
+
+8
+00:00:39,000 --> 00:00:43,520
+المحاضرة يتعرف الطالب على المعادلة التفاضلية الغير 
+
+9
+00:00:43,520 --> 00:00:47,760
+متجانسة يذكر الطالب شروط استخدام طريقة الـ
+
+10
+00:00:47,760 --> 00:00:52,370
+Undetermined coefficients ثلاثة يستخدم الطالب طريقة
+
+11
+00:00:52,370 --> 00:00:55,370
+الـ Undetermined coefficients لإيجاد الحل الخاص
+
+12
+00:00:55,370 --> 00:00:59,570
+بالمعادلة التفاضلية الغير متجانسة أربعة يحل الطالب
+
+13
+00:00:59,570 --> 00:01:04,090
+مسائل تنويع على الموضوع في الجزء الأول درسنا طريقة
+
+14
+00:01:04,090 --> 00:01:08,590
+الـ Undetermined coefficients وذكرنا أنها تحل
+
+15
+00:01:08,590 --> 00:01:11,870
+فقط نوع معين من المعادلة التفاضلية الغير متجانسة
+
+16
+00:01:11,870 --> 00:01:16,350
+التي تكون المعاملات فيها ثوابت والـ non-homogeneous
+
+17
+00:01:16,350 --> 00:01:21,790
+term يكون نوعها إما بيكون exponential أو cosine 
+
+18
+00:01:21,790 --> 00:01:28,470
+أو sine أو بيكون polynomial كثيرة حدود في هذا
+
+19
+00:01:28,470 --> 00:01:32,750
+الجزء سنستخدم ال section هندرس حالات أخرى
+
+20
+00:01:36,580 --> 00:01:40,160
+في الملاحظة الثانية في ال section نفترض أن عندنا
+
+21
+00:01:40,160 --> 00:01:43,440
+معادلة تفاضلية بالصورة هذه aY'' + bY' + cY = g1(t) + g2(t) 
+
+22
+00:01:43,440 --> 00:01:44,760
++ g3(t) + g4(t) + g5(t) + g6(t)
+
+23
+00:01:44,760 --> 00:01:45,080
++ g7(t) + g8(t) + g9(t) + g10(t)
+
+24
+00:01:45,080 --> 00:01:45,120
++ g11(t) + g12(t) + g13(t) + g14(t) 
+
+25
+00:01:45,120 --> 00:01:45,200
++ g15(t) + g16(t) + g17(t) + g18(t)
+
+26
+00:01:45,200 --> 00:01:46,960
++ g19(t) + g20(t) + g21(t) + g22(t) 
+
+27
+00:01:46,960 --> 00:01:52,100
++ g23(t) + g24(t) + g25(t) + g26(t)
+
+28
+00:01:52,100 --> 00:01:55,520
++ g27(t) 
+
+29
+00:02:05,820 --> 00:02:10,420
+في الحالة هذه سنقسم السؤال حسب عددهم فلو كان عندي
+
+30
+00:02:10,420 --> 00:02:13,160
+10 تان جي واحد و جي اتنين سنقسم السؤال كالآتي
+
+31
+00:02:13,160 --> 00:02:16,320
+سنأخذ طرف الشمال زي ما هو سنأخذ جي واحد لحالها
+
+32
+00:02:16,320 --> 00:02:19,780
+يساوي جي واحد وطرف الشمال نفسه مع جي اتنين فهكذا
+
+33
+00:02:19,780 --> 00:02:23,620
+بيصير عندي سؤالين لو كانوا ثلاثة أو أربعة أصلاً أو 
+
+34
+00:02:23,620 --> 00:02:28,390
+أربعة أصلاً سنحل كل واحد لحاله سنختار YB1 في الحلقة
+
+35
+00:02:28,390 --> 00:02:32,890
+الأولى و YB2 في الحلقة الثانية سنختار الأسئلة التي
+
+36
+00:02:32,890 --> 00:02:37,830
+سأعطيكم سلوشن و السؤال الأصلي سيكون مجموعهم فلو
+
+37
+00:02:37,830 --> 00:02:41,070
+كانت اثنتين في حالتنا هذه سيكون اثنتين لو كان أكثر 
+
+38
+00:02:41,070 --> 00:02:46,650
+من ذلك سيكون أكثر سنأخذ مثال لتوضيح الفكرة
+
+39
+00:02:50,370 --> 00:02:53,470
+Example 5 Find a particular solution of the
+
+40
+00:02:53,470 --> 00:02:55,730
+differential equation y'' - 3y'
+
+41
+00:02:55,730 --> 00:02:59,430
+- 4y = 3e^(2t) - 8e^(t) cos(2t)
+
+42
+00:02:59,430 --> 00:03:03,350
+لاحظوا أن المعادلة الطرف الذي الذي أمامنا الطرف 
+
+43
+00:03:03,350 --> 00:03:08,230
+الشمال هو نفسه الذي درسناه في الأمثلة التي درسناها
+
+44
+00:03:08,230 --> 00:03:12,310
+في ال section السابق التي هي أمثلة واحد والأربعة لكن
+
+45
+00:03:12,310 --> 00:03:16,320
+الطرف الأيمن هنا ليس هو طبعاً فيه exponential فيه
+
+46
+00:03:16,320 --> 00:03:20,340
+sin فيه cos فموجود كان فيه ثلاث أمثلة فنبجي نحل
+
+47
+00:03:20,340 --> 00:03:25,820
+السؤال هذا حسب ال remark هنكسبه لثلاث أسئلة هناخد
+
+48
+00:03:25,820 --> 00:03:32,540
+الـ 3e^(2t) في حالها فهي كأنه معادلة تفاضلية y''-3y'
+
+49
+00:03:39,800 --> 00:03:42,100
+-4y = 3e^(2t)
+
+50
+00:03:45,670 --> 00:03:51,110
+هو مثال رقم واحد كمثال في الجزء الأول نحله بنفس
+
+51
+00:03:51,110 --> 00:03:54,250
+الأسلوب ويظهر معنا الـ y ب واحد في حالة هذا الـ
+
+52
+00:03:54,250 --> 00:03:59,970
+sine of 2t ناخد الثاني وتكوين معنا 
+
+53
+00:03:59,970 --> 00:04:02,790
+المعادلة التفاضلية وده بـ y'' - 3y' -
+
+54
+00:04:02,790 --> 00:04:06,010
+4y = 2 sin t وهو نفسه كمثال 
+
+55
+00:04:06,010 --> 00:04:10,420
+اثنين معناه وبنجيب YB في حالته YB2 Particular
+
+56
+00:04:10,420 --> 00:04:15,640
+solution مطلع معناه 3/17 cos t - 5/17 sin t
+
+57
+00:04:15,640 --> 00:04:22,980
+الثالث هناخده أي معادلة تفاضلية هتكون نفس الطرف
+
+58
+00:04:22,980 --> 00:04:27,980
+الأيمن يساوي 8e^(t) cos(2t) ونحله
+
+59
+00:04:27,980 --> 00:04:32,020
+ونجيب Particular solution YB3 فنلاحظ أن السؤال هذا
+
+60
+00:04:32,020 --> 00:04:35,720
+انقسم من ثلاث أسئلة وهذا الغرض من أنه كان عندنا
+
+61
+00:04:35,720 --> 00:04:39,920
+الأمثلة في الجزء الأول نفس الطرف الأيمن حتى نستفيد
+
+62
+00:04:39,920 --> 00:04:44,220
+منها في هذا المثال المثال الخامسة فاحنا عندنا
+
+63
+00:04:44,220 --> 00:04:47,560
+المثال الخامسة انقسم لثلاث أسئلة هما كان Example
+
+64
+00:04:47,560 --> 00:04:52,080
+واحد و Example اثنين و Example أربعة ال yp هيكون
+
+65
+00:04:52,080 --> 00:04:54,960
+في الحالة هذه مجموع ال yp في الثلاث yp واحد زائد 
+
+66
+00:04:54,960 --> 00:04:58,220
+yp اثنين زائد yp ثلاثة واضغط أن في اندي ثلاث لأن
+
+67
+00:04:58,220 --> 00:05:03,330
+في ثلاث مجموعات مع بعض واحدة اثنين ثلاث هذه في
+
+68
+00:05:03,330 --> 00:05:06,750
+حالة اللي هو ما يكون عندي الـ G of T هي مجموع
+
+69
+00:05:06,750 --> 00:05:12,650
+اثنتين أو أكثر من الأنواع التي درسناها التي تطبق
+
+70
+00:05:12,650 --> 00:05:18,630
+فيها الـ Undetermined Coefficients في
+
+71
+00:05:18,630 --> 00:05:21,670
+أن مثال رقم 6 Find the Particular Solution of the
+
+72
+00:05:21,670 --> 00:05:24,750
+Differential Equation y'' - 3y' - 4y
+
+73
+00:05:24,750 --> 00:05:30,310
+= 2e^(-t) فعلاً مثال الشروط واضحة واتحقق
+
+74
+00:05:30,310 --> 00:05:34,180
+فيه أن الـ coefficients ثوابت وهنا exponential بنجيب
+
+75
+00:05:34,180 --> 00:05:36,820
+الـ Particular solution yp = Ae^(-t)
+
+76
+00:05:36,820 --> 00:05:37,640
+مثلما أخذنا الفرض
+
+78
+00:05:47,370 --> 00:05:54,530
+بدل y'' هي Ae^(-t) - 3 في y'  -3A e^(-t) 
+
+79
+00:05:54,530 --> 00:05:59,190
+- 4 في y - 4Ae^(-t) = 2e^(-t)
+
+80
+00:05:59,190 --> 00:06:02,510
+المفروض أن جمعت في اليسار وانتفاجت أن طريقة اليسار 
+
+81
+00:06:02,510 --> 00:06:07,830
+صار صفر في e^(-t) يعني بيطلع صفر هذا سيساوي 2
+
+82
+00:06:07,830 --> 00:06:13,340
+طبعاً هذا مستحيل فهناك مشكلة صارت عندنا Where is the
+
+83
+00:06:13,340 --> 00:06:18,340
+problem؟ المشكلة هذه أين؟ نحن نشتغل على نفس المثال
+
+84
+00:06:18,340 --> 00:06:24,040
+الأول ما تقليل أن طرف اليسار صار صفر؟ لا، فإننا
+
+85
+00:06:24,040 --> 00:06:30,300
+عوضنا في معادلة الطرف الأيسر بالفرض yp = Ae^(-t)
+
+86
+00:06:30,300 --> 00:06:34,140
+عطانا أن الطرف الأيسر سيساوي صفر هذا معناه
+
+87
+00:06:34,140 --> 00:06:38,280
+أن Ae^(-t) هو حل الـ Homogeneous لأنه خلّى
+
+88
+00:06:38,280 --> 00:06:43,010
+الطرف الأيسر يساوي صفر هو حل الـ Homogeneous هو حل 
+
+89
+00:06:43,010 --> 00:06:45,350
+الـ Homogeneous دعنا نتأكد دعنا ناخذ الـ
+
+90
+00:06:45,350 --> 00:06:47,770
+Homogeneous هي الـ corresponding Homogeneous سواء
+
+91
+00:06:47,770 --> 00:06:50,390
+بالصفر هي الـ characteristic بتاعتها r^2 - 
+
+92
+00:06:50,390 --> 00:06:54,430
+3r - 4 = 0 نحلل فتطلع باعي r
+
+93
+00:06:54,430 --> 00:06:56,990
+واحد 4 و r اثنين -1 يعني يعني اللي بيطلع
+
+94
+00:06:56,990 --> 00:07:01,030
+yc = c1e^(4t) + c2e^(-t)
+
+95
+00:07:01,030 --> 00:07:03,890
+طلع الـ Complementary solution هي الحلول التي
+
+96
+00:07:03,890 --> 00:07:07,930
+يعتمد عليها e^(4t) و e^(-t) تلاحظوا e^(-t) 
+
+97
+00:07:07,930 --> 00:07:15,630
+هيبشب في الـ yp إذا فرضنا yp في هذه الصورة هو فرض
+
+98
+00:07:15,630 --> 00:07:20,750
+طلع حل من الحلول الـ Homogeneous لهذا السبب خلّى
+
+99
+00:07:20,750 --> 00:07:26,150
+الطرف الشمالي يصبح بالـ Zero لأن هذا ينبهنا المثال
+
+100
+00:07:26,150 --> 00:07:31,190
+أننا يجب أن نعرف حلول الـ Homogeneous في البداية
+
+101
+00:07:31,190 --> 00:07:35,390
+قبل أن نفرض الشكل العام للـ Particular Solution طبعاً
+
+102
+00:07:35,390 --> 00:07:39,290
+في الأمثلة السابقة كلها لم يكن عندها مشكلة هذه لأن 
+
+103
+00:07:39,290 --> 00:07:46,900
+yp شكله لا ليس من الحلول الـ Homogeneous فكان الـ 
+
+104
+00:07:46,900 --> 00:07:49,420
+yp في كل الأمثلة السابقة من مثل واحد حتى مثل
+
+105
+00:07:49,420 --> 00:07:57,680
+الخمسة لا يشبه حلول الـ Homogeneous لذلك الطرف
+
+106
+00:07:57,680 --> 00:08:00,500
+الشمال لم يصفِر عنها لم يصبح قيمته صفر لكن في
+
+107
+00:08:00,500 --> 00:08:04,080
+الحالات مثل هذه لما فرضنا الـ yp = Ae^(-t)
+
+108
+00:08:04,080 --> 00:08:07,760
+وعوضنا في معادلة طرف الطرف الأيسر صفر لأن هذا هو
+
+109
+00:08:07,760 --> 00:08:13,120
+حل من حلول الـ Homogeneous وهذا ينقل للملاحظة 
+
+110
+00:08:13,120 --> 00:08:17,980
+المهمة التي جاية Remark 
+
+111
+00:08:17,980 --> 00:08:22,220
+ثلاثة if the form of the Particular solution that we
+
+112
+00:08:22,220 --> 00:08:24,320
+choose is a solution of the corresponding
+
+113
+00:08:24,320 --> 00:08:27,440
+Homogeneous differential equation then we multiply
+
+114
+00:08:27,440 --> 00:08:32,080
+it by t^s حيث s تساوي إلى 1 و 2 هذا الملاحظة
+
+115
+00:08:32,080 --> 00:08:35,630
+بتقول ليه؟ إذا كان الشكل الـ Particular Solution الذي
+
+116
+00:08:35,630 --> 00:08:40,050
+احنا هنستخدمه واختارناه عشان الحل المعادلة التي هو
+
+117
+00:08:40,050 --> 00:08:44,690
+التفاضلية الغير متجانسة هو حل للـ Homogeneous للـ
+
+118
+00:08:44,690 --> 00:08:46,330
+Corresponding Homogeneous الـ differential
+
+119
+00:08:46,330 --> 00:08:49,890
+equation فلازم احنا نضربه في الـ t هو الـ
+
+120
+00:08:49,890 --> 00:08:54,230
+Independent فعلاً مرفوعة بقى s نبدأ 1 لنضرب في
+
+121
+00:08:54,230 --> 00:08:56,990
+الـ t أو أكثر حاجة في الـ t تربيع لأن كل اللي عندي
+
+122
+00:08:56,990 --> 00:09:03,530
+حلين فلوجئنا لنسأل ايش الحل مثل السابق The correct
+
+123
+00:09:03,530 --> 00:09:08,150
+solution of the examples هنبدأ أن yp زي ما أخذنا Ae^(-t)
+
+124
+00:09:08,150 --> 00:09:12,470
+لكن لأن e^(-t) هذا حلم الحلول هروح
+
+125
+00:09:12,470 --> 00:09:17,530
+نضربه في t فانا عنده فرض Ae^(-t) t فرض t
+
+126
+00:09:17,530 --> 00:09:21,090
+في e^(-t) مش مش ولا واحد منهم لأن لو رجعنا
+
+127
+00:09:21,090 --> 00:09:22,470
+للشريحة السابقة
+
+128
+00:09:25,920 --> 00:09:30,640
+الحلين التي عندنا هما e^(4t) و e^(-t) ففي
+
+129
+00:09:30,640 --> 00:09:35,080
+الفرض الأول إذا أخذنا e^(-t) فطلعنا على ال yc
+
+130
+00:09:35,080 --> 00:09:37,980
+الذي جيناه بشبه هذا e^(-t) روحنا ضربناه في t 
+
+131
+00:09:37,980 --> 00:09:42,720
+فصار
+
+132
+00:09:42,720 --> 00:09:45,460
+الـ yp مختلف صار te^(-t) وهذا ال
+
+133
+00:09:45,460 --> 00:09:49,720
+coefficient الـ A التي سنحسبه فهكذا يصير الفرض إذا
+
+134
+00:09:49,720 --> 00:09:54,070
+احنا بنبدأ عادي Ae^(-t) بيكون في الأول حالة
+
+135
+00:09:54,070 --> 00:09:57,510
+الـ Homogeneous عارف الحلول ثم عند الحلول التي هو
+
+136
+00:09:57,510 --> 00:10:01,730
+الـ Homogeneous e^(4t) و e^(-t) فإذا e^(-t) بيشبِه
+
+137
+00:10:01,730 --> 00:10:05,170
+واحد فيهم راح نضرب نُضربه في t  e^(-t) بيشبِه
+
+138
+00:10:05,170 --> 00:10:08,970
+ولا واحد إذا ممكن نكمل طبعاً هنكمل عادي هنجيب 
+
+139
+00:10:08,970 --> 00:10:14,330
+المشتقة الأولى هيها هذه المشتقة الثانية بسيط وبنعوض
+
+140
+00:10:14,330 --> 00:10:18,430
+في المعادلة التفاضلية وبنسويها بالـ 2e^(-t) 
+
+141
+00:10:18,430 --> 00:10:22,350
+ونحل بطلاق  Y<sub>B</sub> يسوي سالب 2 على خمسة يعني Y<sub>B</sub> بيسوي
+
+142
+00:10:22,350 --> 00:10:28,110
+سالب 2 على خمسة في T بأس سالب T دلوقت احتجنا بس
+
+143
+00:10:28,110 --> 00:10:32,090
+نضربه في T طب متى بنحتاج نضربه في T تربيع؟ في حالة
+
+144
+00:10:32,090 --> 00:10:35,550
+واحدة لما يكون أنا عندي اللي هو Corresponding
+
+145
+00:10:35,550 --> 00:10:38,170
+homogeneous differential equation الحلول تاعتها 
+146
+00:10:38,170 --> 00:10:38,890
+مكررة
+
+147
+00:10:41,670 --> 00:10:45,270
+Example 7 هو يبقى على الـ Question 14 في الكتاب
+
+148
+00:10:45,270 --> 00:10:48,870
+784 Solve the following differential equation y
+
+149
+00:10:48,870 --> 00:10:52,190
+double prime زائد أربعة y يساوي T تربيع زائد ثلاثة
+
+150
+00:10:52,190 --> 00:10:56,070
+في U of T وعند الشروط y(0) بيساوي صفر و y'
+
+151
+00:10:56,070 --> 00:11:00,870
+(0) بيساوي اثنين طبعا سؤال كامل طالب مني أجيب
+
+152
+00:11:00,870 --> 00:11:04,690
+اللي هو solution فكنا في كل الأمثلة جبنا بس ال
+
+153
+00:11:04,690 --> 00:11:10,320
+particular solution Y<sub>B</sub> وفي آخر مثال 6 وجدنا أننا لا
+
+154
+00:11:10,320 --> 00:11:13,320
+نستطيع أن نجلب الـ Y<sub>B</sub> مباشرة لازم في الأول نجلب
+
+155
+00:11:13,320 --> 00:11:18,280
+الـ Y<sub>C</sub> حتى نتأكد أن ما نفرض شكل الـ Y<sub>B</sub> أنه لا
+
+156
+00:11:18,280 --> 00:11:24,820
+يتشابه مع أحد حلول الـ Y<sub>C</sub> طبعا هذا سؤال initial
+
+157
+00:11:24,820 --> 00:11:28,300
+value problem سنحلله في الأول نجلب ال general
+
+158
+00:11:28,300 --> 00:11:32,890
+solution ثم نعود في الشروط رغم أن الـ G عندنا هنا
+
+159
+00:11:32,890 --> 00:11:36,670
+جزء A T تربيع وهنا ثلاثة في U of T يعني هذه السؤال
+
+160
+00:11:36,670 --> 00:11:41,990
+هنقسمه لسؤالين هناخد مع ال T تربيع واحد هناخد مع
+
+161
+00:11:41,990 --> 00:11:47,940
+الثلاثة U of T سؤال ثاني فنبدأ الخطوات أول خطوة لازم
+
+162
+00:11:47,940 --> 00:11:51,940
+في كل سؤال حتى في الأمثلة السابقة أول خطوة تجيب
+
+163
+00:11:51,940 --> 00:11:54,720
+الـ Complementary Solution حتى لو هو ليس طالب
+
+164
+00:11:54,720 --> 00:11:59,660
+السؤال لأنه كما رأيت في المثال السادس لما قمت بتجيب
+
+165
+00:11:59,660 --> 00:12:02,520
+الـ Complementary Solution هو حل الـ Homogeneous
+
+166
+00:12:02,520 --> 00:12:06,840
+Differential Equation طلع عندي مشكلة في التعويض
+
+167
+00:12:06,840 --> 00:12:12,540
+بعد عوض تساوي الصفر فالخطوة الأولى أن نجد الـ
+
+168
+00:12:12,540 --> 00:12:16,560
+Complementary Solution Y'' زائد 4Y بيساوي 0 أخذت
+
+169
+00:12:16,560 --> 00:12:20,040
+الطرف الأيمن بالـ 0 R تربيع زائد 4 بيساوي 0 كتاب
+
+170
+00:12:20,040 --> 00:12:23,280
+الcharacteristic equation بيطلع R بيساوي زائد ناقص 2i كما
+
+171
+00:12:23,280 --> 00:12:27,080
+نعرف أن جذورها complex فبيطلع ال Y<sub>C</sub> بيساوي C<sub>1</sub> Cos 2T زائد C<sub>2</sub>
+
+172
+00:12:27,080 --> 00:12:31,520
+Sin 2T فالحلول اللي عندي هم Cos 2T و Sin 2T الخطوة الثانية في ده الحل اللي هم
+
+173
+00:12:31,520 --> 00:12:35,520
+أجينا نحن نجيب Y<sub>B1</sub> و Y<sub>B2</sub> فناخد الأولى اللي مع T
+
+174
+00:12:35,520 --> 00:12:39,640
+تربيع Y'' زائد 4Y بيساوي T تربيع لأن هذا البرنامج
+
+175
+00:12:39,640 --> 00:12:44,460
+يعمل من الدرجة الثانية سنقوم بإنفعال Y<sub>B1</sub> يسوي A T تربيع زائد B T زائد C ويعمل من الدرجة الثانية طبعا واضح
+
+176
+00:12:44,460 --> 00:12:47,700
+أن T تربيع وT وC مضروبين بثابت لا يشبهون Cos 
+
+177
+00:12:47,700 --> 00:12:51,620
+2T ولا Sin 2T لذلك لا يوجد تشابه بين
+
+178
+00:12:51,620 --> 00:12:56,380
+الفرض وشكل Y<sub>B</sub> مع أي حل من الحلول اللي هي
+
+179
+00:12:56,380 --> 00:12:59,320
+الـ Complementary Solution فبالتالي سأدعله كما هو
+
+180
+00:12:59,320 --> 00:13:03,380
+وليس بحاجة للضرب في T طبعا عشان نحسب a و b و c زي
+
+181
+00:13:03,380 --> 00:13:06,880
+ما اتفقنا في المثال السابق هنعوض في المعادلة
+
+182
+00:13:06,880 --> 00:13:11,030
+ال تفاضلية هنجيب المشتقة الأولى والثانية هنجيب هي
+
+183
+00:13:11,030 --> 00:13:13,470
+الثانية هنعوض في المعادلة زائد 4 في y هيها
+
+184
+00:13:13,470 --> 00:13:17,010
+ونسويها مع T تربيع هنجمع معامل T تربيع مع بعض هي
+
+185
+00:13:17,010 --> 00:13:21,050
+4A معامل T 4B كل حد مستقل A زائد 4C هنسويها مع T 
+
+186
+00:13:21,050 --> 00:13:25,150
+تربيع زائد 4A هي تساوي واحد معامل T تربيع
+
+187
+00:13:25,150 --> 00:13:31,910
+يساوي معامل T تربيع معامل T بيساوي صفر لأن
+
+188
+00:13:31,910 --> 00:13:35,630
+مافيش T كل حد مطلق 2A زائد 4C برضه
+
+189
+00:13:35,630 --> 00:13:40,740
+بيساوي صفر لأن مافيش حد مطلق وبنحل المعادلات
+
+190
+00:13:40,740 --> 00:13:45,080
+هذول وسهلات وبيطلع معايا القيم بتاعتهم A بيساوي
+
+191
+00:13:45,080 --> 00:13:47,280
+سالب ربع وB بيساوي صفر وC بيساوي سالب ثمن فبعد
+
+192
+00:13:47,280 --> 00:13:51,420
+ذلك بعود عن قيم A وB وC في الفرض اللي هو هنا فالـ A
+
+193
+00:13:51,420 --> 00:13:56,020
+عوضنا عنه بقيمته اللي هي سالب ربع فسالب ربع T تربيع Y<sub>P1</sub>
+
+194
+00:13:56,020 --> 00:14:01,720
+- Y<sub>P2</sub> 
+
+195
+00:14:01,720 --> 00:14:06,370
+- Y<sub>P1</sub>
+
+196
+00:14:06,370 --> 00:14:12,790
+-Y<sub>P2</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>
+
+197
+00:14:12,790 --> 00:14:17,650
+-Y<sub>P1</sub>
+
+198
+00:14:17,650 --> 00:14:23,010
+-Y<sub>P2</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>
+
+199
+00:14:23,010 --> 00:14:23,190
+-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>
+
+200
+00:14:23,190 --> 00:14:23,210
+-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>-Y<sub>P1</sub>
+
+201
+00:14:26,240 --> 00:14:31,080
+هذه هي Y<sub>B1</sub> حيث يكون فرضا a T تربيع طبعا مشابه
+
+202
+00:14:31,080 --> 00:14:34,460
+ولا واحد في حلول ال Complementary لأن زي ما نشوف
+
+203
+00:14:34,460 --> 00:14:38,120
+هنا Cos 2T وSin 2T فهيظل زي ما هو مش
+
+204
+00:14:38,120 --> 00:14:41,880
+هنضرب في T مشتق ونجيب المشتقة الأولى ومشتقة
+
+205
+00:14:41,880 --> 00:14:44,940
+الثانية نجيب المشتقة الأولى وهي مشتقة ثانية زي هي
+
+206
+00:14:44,940 --> 00:14:48,860
+ونعود في المعادلة التفاضلية هنا معناه ايه ثلاثة
+
+207
+00:14:48,860 --> 00:14:52,660
+على خمسة يعني Y<sub>B2</sub> هو ثلاثة على خمسة في U of T ثم Y<sub>B</sub>
+
+208
+00:14:52,660 --> 00:14:57,360
+هو Y<sub>B1</sub> زائد Y<sub>B2</sub> ونجمحهم ونعود معايا هذه القيمة هذا
+
+209
+00:14:57,360 --> 00:15:01,720
+Y<sub>B</sub> اللي عندنا ال General Solution هذا ال Particular Solution
+
+210
+00:15:01,720 --> 00:15:05,520
+رقم ثلاثة زي ما درسنا يسوي مجموع ال Complementary
+
+211
+00:15:05,520 --> 00:15:09,180
+Solution زائد Particular Solution يعني Y بيساوي Y<sub>C</sub> زائد 
+
+212
+00:15:09,180 --> 00:15:15,600
+Y<sub>B</sub> هذا هو الـ Complementary Solution C<sub>1</sub> Cos 2T زائد C<sub>2</sub> Sin 2T
+
+213
+00:15:15,600 --> 00:15:19,880
+زائد وهذا هو الـ Particular Solution سالب ربع في T تربيع 
+
+214
+00:15:19,880 --> 00:15:24,500
+ناقص ثمن زائد 3 على 5 في U of T وهكذا وجدنا الـ
+
+215
+00:15:24,500 --> 00:15:30,760
+General Solution السؤال في Initial Value Problems
+
+216
+00:15:30,760 --> 00:15:36,050
+هو مدينة شرطية عشان أجيب قيم الـ C<sub>1</sub> وC<sub>2</sub> هلغة اشتق
+
+217
+00:15:36,050 --> 00:15:40,410
+فعارفين ناس بيغلطوا إنه بيروح يشتق فبنجيب ال Y<sub>C</sub>
+
+218
+00:15:40,410 --> 00:15:45,810
+نعوضه في الأول إنه بعد ما يجيب ال Y<sub>C</sub> في أول خطوة
+
+219
+00:15:45,810 --> 00:15:49,730
+بيروح يحسب ال Constants هنا لا الصحيح إنه أنت بعد
+
+220
+00:15:49,730 --> 00:15:52,630
+ما تجيب ال General Solution اللي هو مجموعة ال Y<sub>C</sub>
+
+221
+00:15:52,630 --> 00:15:55,190
+زائد Y<sub>B</sub> اللي هو ال Particular 
+
+222
+00:15:55,190 --> 00:15:58,870
+Solution في الآخر هلغة بقدر استخدم الشرطين اللي
+
+223
+00:15:58,870 --> 00:16:00,830
+معايا عشان أجيب C<sub>1</sub> وC<sub>2</sub>
+
+224
+00:16:05,330 --> 00:16:12,050
+خطوة الرابعة نعود بالشروط
+
+225
+00:16:12,050 --> 00:16:15,630
+Y(0) و Y'(0)
+
+226
+00:16:20,050 --> 00:16:27,710
+نعود بالشروط Y(0) و Y'(0) نعود
+
+227
+00:16:27,710 --> 00:16:30,830
+بالشروط 
+
+228
+00:16:30,830 --> 00:16:34,130
+Y(0) و Y'(0) نعود بالشروط Y(0) و Y'(0) نعود بالشروط Y(0) و Y'(0) نعود
+
+229
+00:16:34,130 --> 00:16:34,250
+بالشروط Y(0) و Y'(0) نعود بالشروط Y(0) و Y'(0) نعود بالشروط Y(0)
+
+230
+00:16:34,250 --> 00:16:34,810
+و Y'(0) نعود بالشروط Y(0) و Y'(0) نعود بالشروط
+
+231
+00:16:34,980 --> 00:16:40,260
+بنعود على قيم C<sub>1</sub> وC<sub>2</sub> كما تشاهدون بالقيم الموجودة
+
+232
+00:16:40,260 --> 00:16:43,880
+هنا عن C<sub>1</sub> بسالب تسعة عشر على أربعين وعن C<sub>2</sub> بسالب سبعة
+
+233
+00:16:43,880 --> 00:16:49,080
+على عشرة طبعا أنا مش معوض هنا صح لازم أتعوض
+
+234
+00:16:49,080 --> 00:16:52,520
+هنتقل
+
+235
+00:16:52,520 --> 00:17:00,050
+لمثال مثال ثمانية وهو Question 26 في الكتاب Determine a 
+
+236
+00:17:00,050 --> 00:17:02,290
+suitable form of a particular solution of the
+
+237
+00:17:02,290 --> 00:17:11,610
+following differential equation طلب مننا
+
+238
+00:17:11,610 --> 00:17:15,470
+أن نجيب a suitable form يعني شكل Particular
+
+239
+00:17:15,470 --> 00:17:19,010
+Solution فانا مرتاح أن أنا مش هنحتاج أن نجيب ال
+
+240
+00:17:19,010 --> 00:17:24,520
+Coefficients بس الفرض كيف شكله طبعا أول خطوة لازم
+
+241
+00:17:24,520 --> 00:17:29,040
+أجيب الـ Complementary Solution الـ Complementary
+
+242
+00:17:29,040 --> 00:17:32,580
+Solution تأخذ المعادلة التفاضلية هي Y'' زائد 2Y'
+
+243
+00:17:32,580 --> 00:17:34,660
+زائد 5Y بيساوي 7
+
+244
+00:17:38,430 --> 00:17:40,690
+هذه هي الـ Characteristic Equation R تربيع زائد 2R
+
+245
+00:17:40,690 --> 00:17:45,070
+ناقص 5 بيستخدم القانون العام بيظهر R بيساوي سالب 1 
+
+246
+00:17:45,070 --> 00:17:50,650
+ناقص 2i عند R<sub>1</sub> بيساوي سالب 1 ناقص 2i وR<sub>2</sub> بيساوي سالب 1
+
+247
+00:17:50,650 --> 00:17:56,410
+ناقص 2i منها Y<sub>C</sub> بيساوي C<sub>1</sub> e<sup>-t</sup> Cos 2T زائد C<sub>2</sub>
+
+248
+00:17:56,410 --> 00:18:00,250
+e<sup>-t</sup> Sin 2T تلعب معاي الحلين دول ال 
+
+249
+00:18:00,250 --> 00:18:03,490
+Complementary Solution اللي هم حلول ال Homogeneous
+
+250
+00:18:03,490 --> 00:18:09,850
+e<sup>-t</sup> Cos 2T وe<sup>-t</sup> Sin 2T والآن سنجد
+
+251
+00:18:09,850 --> 00:18:13,710
+شكل الـ Particular Solution تلاحظوا أنه لدي فيه
+
+252
+00:18:13,710 --> 00:18:18,710
+جزء G سنقسم السؤال لسؤالين وY'' زائد 2Y'
+
+253
+00:18:18,710 --> 00:18:22,390
+زائد 5Y بيساوي ثلاثة T e<sup>-t</sup> Cos 2T 
+
+254
+00:18:22,390 --> 00:18:28,230
+أخدنا الأول وY'' زائد 2Y' زائد 5Y بيساوي سالب
+
+255
+00:18:28,230 --> 00:18:31,710
+2T e<sup>-t</sup> Cos 2T أخدنا الثانية الآن
+
+256
+00:18:31,710 --> 00:18:37,610
+فسؤالين تعالوا بالنسبة للأولاني تلاحظوا الأولاني
+
+257
+00:18:37,610 --> 00:18:40,730
+عبارة عن Polynomial من الدرجة الأولى مضروبة في 
+
+258
+00:18:40,730 --> 00:18:45,030
+Exponential مضروبة في Cosine فالبولينوميال اللي أنا
+
+259
+00:18:45,030 --> 00:18:51,170
+عندي فرضها A<sub>1</sub>T زائد A<sub>2</sub> مضروبة ال 
+
+260
+00:18:51,170 --> 00:18:58,670
+Exponential e<sup>-t</sup> في Cos 2T زائد هيكون
+
+261
+00:18:58,670 --> 00:19:02,570
+بولينوميال ثانية من الدرجة الأولى اللي قمنا بتغيير
+
+262
+00:19:02,570 --> 00:19:06,310
+الـ Coefficients بدل A<sub>1</sub> و A<sub>2</sub> كتبنا B<sub>1</sub> و B<sub>2</sub>  
+
+263
+00:19:06,310 --> 00:19:08,030
+و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و 
+
+264
+00:19:08,030 --> 00:19:09,150
+A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و 
+
+265
+00:19:09,150 --> 00:19:14,890
+A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و
+
+266
+00:19:14,890 --> 00:19:16,630
+A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و
+
+267
+00:19:16,630 --> 00:19:20,350
+A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و A<sub>2</sub> و
+
+268
+00:19:20,350 --> 00:19:25,070
+A<sub>2</sub>
+
+269
+00:19:25,070 --> 00:19:30,560
+و الـ Exponential في الـ Cosine هيكون عند Polynomial من 
+
+270
+00:19:30,560 --> 00:19:32,620
+نفس الدرجة و الـ Exponential في الـ Cosine زائد
+
+271
+00:19:32,620 --> 00:19:34,860
+Polynomial من نفس الدرجة بس الـ Coefficients
+
+272
+00:19:34,860 --> 00:19:38,120
+هيتغيروا هنلاقي B<sub>1</sub> و B<sub>2</sub> منهم هنلاقي B<sub>1</sub> و 
+
+273
+00:19:38,120 --> 00:19:41,560
+B<sub>2</sub> فبالتالي عند أربع Coefficients في e<sup>-t</sup> في Sin 2T تعالى نشوف هل في تشابه بين الفرض
+
+274
+00:19:41,560 --> 00:19:45,680
+هذا وحلول ال Homogeneous اللي هو هان  الفرض الأولى
+
+275
+00:19:45,680 --> 00:19:49,660
+عن e<sup>-t</sup> في Sin 2T ما بيشبه ال Homogeneous 
+
+276
+00:19:49,660 --> 00:19:53,460
+لكن التاني يشبه 
+
+277
+00:19:55,320 --> 00:19:59,560
+الفرض التاني يشبه
+
+278
+00:19:59,560 --> 00:20:07,280
+الفرض التاني يشبه الفرض
+
+279
+00:20:07,280 --> 00:20:09,700
+التاني يشبه الفرض التاني يشبه الفرض التاني يشبه
+
+280
+00:20:09,700 --> 00:20:11,360
+الفرض التاني يشبه الفرض التاني يشبه الفرض 
+
+281
+00:20:11,360 --> 00:20:12,720
+التاني تشبه الهاتف التاني تشبه الهاتف التاني تشبه
+
+282
+00:20:12,720 --> 00:20:18,060
+الهاتف التاني تشبه الهاتف التاني تشبه الهاتف
+
+283
+00:20:18,060 --> 00:20:21,120
+التاني تشبه الهاتف التاني تشبه الهاتف التاني تشبه
+
+284
+00:20:21,120 --> 00:20:23,600
+الهاتف التاني تشبه الهاتف التاني تشبه الهاتف
+
+285
+00:20:23,600 --> 00:20:26,630
+التاني تشبه مرة نضرب في التاني هذا كان فيه تشابه
+
+286
+00:20:26,630 --> 00:20:32,010
+صار الـ T فيه سلب الـ T في كزان اتنين T فاختلف عن الـ Yp1 
+
+287
+00:20:32,010 --> 00:20:35,850
+بالمثل في الطرف التاني اختلفوا فاطلعوا زي ما نفك
+
+288
+00:20:35,850 --> 00:20:39,590
+هذا المقدار وفكتوها و بيطلع معاكم أربع حلول ولا
+
+289
+00:20:39,590 --> 00:20:42,630
+واحد فيهم يشبه الـ Yp1 اللي كان يشبه لما ضربنا في
+
+290
+00:20:42,630 --> 00:20:48,190
+الـ T صار يختلف عنه هذا هدف شكل الـ YP1 طبعا في حالة
+
+291
+00:20:48,190 --> 00:20:51,550
+زي هذه ما برضه انك تحسب الـ coefficients لأن حسابات
+
+292
+00:20:51,550 --> 00:20:55,250
+قوية جدا ومعقدة بتلاحظوا يوجد عنده أربع 
+
+293
+00:20:55,250 --> 00:20:58,350
+coefficients و تلات دور مضبوطة في بعض و طويلة لكن
+
+294
+00:20:58,350 --> 00:21:02,470
+هنا الشكل نجلت يعني تلاحظوا الـ polynomial هي 
+
+295
+00:21:02,470 --> 00:21:05,030
+polynomial C1T زي C2 في الـ exponential في الـ
+
+296
+00:21:05,030 --> 00:21:07,470
+cosine زي الـ polynomial بس من غير الـ coefficients 
+
+297
+00:21:07,470 --> 00:21:11,090
+في الـ exponential في الـ sine تلاحظوا بالنسبة
+
+298
+00:21:11,090 --> 00:21:15,590
+لهذه ليس هناك تشابه مع الـ complementary solution
+
+299
+00:21:15,590 --> 00:21:18,130
+لأن تلاحظوا هنا الـ cosine T و الـ sine T لكن هنا
+
+300
+00:21:18,130 --> 00:21:23,750
+الـ cosine 2T و الـ sine 2T الـ Yb هيساوي مجموعهم
+
+301
+00:21:23,750 --> 00:21:28,510
+Yb1 زي Yb2 هذا الشكل اللي مرنوم وطالب مني شكل الـ
+
+302
+00:21:28,510 --> 00:21:33,750
+Particular solution ناخد 
+
+303
+00:21:33,750 --> 00:21:37,810
+مثال أخير في هذا الـ section determine a suitable
+
+304
+00:21:37,810 --> 00:21:40,410
+form of the particular solution of the full wave
+
+305
+00:21:40,410 --> 00:21:43,990
+differential equation طالب أيضًا مني أن أجيب بس
+
+306
+00:21:43,990 --> 00:21:48,910
+الشكل المناسب لو فرض الـ particular solution ما وجد
+
+307
+00:21:48,910 --> 00:21:52,060
+الشيء الـ coefficients بس أضيئ الصورة المعادلة التي
+
+308
+00:21:52,060 --> 00:21:56,300
+تفضلي عندي هي W prime زي 4Y prime زي 4Y بيساوي 3 في
+
+309
+00:21:56,300 --> 00:22:00,820
+U2D طبعا قلنا في كل الأسئلة سواء طلب مني general
+
+310
+00:22:00,820 --> 00:22:03,940
+solution طلب مني particular solution او formula
+
+311
+00:22:03,940 --> 00:22:07,220
+للي particular solution لازم اجيب اللي هو الـ IC حل
+
+312
+00:22:07,220 --> 00:22:12,440
+الـ homogenous characteristic
+
+313
+00:22:12,440 --> 00:22:18,150
+equation عندي هي R تربيع زي 4R زي 4 بيساوي 0 هذا
+
+314
+00:22:18,150 --> 00:22:21,490
+عبارة عن مربع كامل R زي 2 الكل بيساوي صفر فبيطلع
+
+315
+00:22:21,490 --> 00:22:25,570
+منها R واحد بيساوي R اتنين بيساوي سالب اتنين اذا الـ
+
+316
+00:22:25,570 --> 00:22:28,870
+solution of the differential equation Yc بيساوي C
+
+317
+00:22:28,870 --> 00:22:31,670
+واحد في E أس سالب اتنين T زي C اتنين في T في E أس سالب
+
+318
+00:22:31,670 --> 00:22:34,830
+اتنين T وهذا يعني يكون في جدول مكررة درسناه في
+
+319
+00:22:34,830 --> 00:22:37,470
+section تلاتة خمسة يعني يكون في جدالين نفس الشيء
+
+320
+00:22:37,470 --> 00:22:40,990
+E أس سالب اتنين T والتاني هيكون E أس سالب اتنين T الحل
+
+321
+00:22:40,990 --> 00:22:44,250
+التاني الحالين زي بعض هضرب التاني في T عشان يختلف
+
+322
+00:22:44,250 --> 00:22:49,640
+عن الأول عندما نحسب الـ Yb هو المفروض الـ Particle
+
+323
+00:22:49,640 --> 00:22:54,380
+Solution الـ
+
+324
+00:22:54,380 --> 00:22:59,020
+Yb سنجد انه يتطلع على حاجتين تحكم الـ Yb الـ g
+
+325
+00:22:59,020 --> 00:23:03,820
+وحلول الهوموجينيه يعني الحاجة التي تتحكم فيها الـ
+
+326
+00:23:03,820 --> 00:23:08,700
+g سنأخذ الشكل هذا A E أس سالب 2T
+
+327
+00:23:09,420 --> 00:23:12,020
+لكن دعنا نشوف لو أخدت A و اتحيله لأنه ليس فيه T
+
+328
+00:23:12,020 --> 00:23:17,120
+تربيع سيصبح A E أس سالب 2T سيشبه الحل هذا لو ضربنا في
+
+329
+00:23:17,120 --> 00:23:20,300
+T سيشبه الحل التاني إذا أنا مضطر أني أضرب في T
+
+330
+00:23:20,300 --> 00:23:24,400
+تربيع هذا الحال الذي نقوله في T تربيع عندما يكون
+
+331
+00:23:24,400 --> 00:23:30,680
+لدي حلول complementary متشابهة A E أس سالب 2T التاني
+
+332
+00:23:30,680 --> 00:23:35,120
+A E أس سالب 2T ضربنا في T لو كان الـ particular فرضه
+
+333
+00:23:35,120 --> 00:23:40,230
+بشبه واحد يوم الأولي A E أس سالب 2T فلازم اضرب فيه T
+
+334
+00:23:40,230 --> 00:23:45,590
+تربيع عشان ما بيشبهش ولا واحد فيه في نهاية
+
+335
+00:23:45,590 --> 00:23:49,190
+هذا الجزء الثاني من سيكشن تلاتة ستة أشكركم حسنا
+
+336
+00:23:49,190 --> 00:23:53,970
+استماعكم وأتمنى لكم التوفيق والسلام عليكم ورحمة
+
+337
+00:23:53,970 --> 00:23:54,670
+الله وبركاته
diff --git a/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/ZwFFecbF9T0_postprocess.srt b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/ZwFFecbF9T0_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c92d91fa62b3584dccdaa8f3fe7bdddf0758ae7b
--- /dev/null
+++ b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/ZwFFecbF9T0_postprocess.srt
@@ -0,0 +1,924 @@
+1
+00:00:00,000 --> 00:00:04,220
+بسم الله الرحمن الرحيم عزيزي الطلاب والطلاب السلام
+
+2
+00:00:04,220 --> 00:00:09,460
+عليكم ورحمة الله وبركاته في فيديو جديد نشرح فيه
+
+3
+00:00:09,460 --> 00:00:13,560
+درس جديد من نصح معادلات تفضلية عادية في هذا
+
+4
+00:00:13,560 --> 00:00:21,200
+الفيديو سنشرح ان شاء الله section 3-4 بعنوان
+
+5
+00:00:21,200 --> 00:00:24,120
+complex rules of the characteristic equations
+
+6
+00:00:27,020 --> 00:00:30,640
+درسنا في section 3.1 الـ Characteristic Equation
+
+7
+00:00:30,640 --> 00:00:37,840
+واخدنا حالة واحدة فهي عندما تكون جذورها حقيقية فهي
+
+8
+00:00:37,840 --> 00:00:41,000
+جذرية حقيقية مختلفة و هذه الحالة تحدث عندما يكون
+
+9
+00:00:41,000 --> 00:00:46,420
+المميز أقل من صفر ولكن إذا كان مميزها أقل من صفر
+
+10
+00:00:46,420 --> 00:00:52,700
+فإننا سنحصل على جذور مركبة Complex Roots سندرس هذه
+
+11
+00:00:52,700 --> 00:00:59,370
+الحالة في هذه ال sectionبعد انتهاء من هذه المحاضرة
+
+12
+00:00:59,370 --> 00:01:06,950
+نتوقع أن تحقق الأهداف التالية واحد يوجد الطالب
+
+13
+00:01:06,950 --> 00:01:12,450
+الجذور التخيلية لل characteristic equation اتعرف
+
+14
+00:01:12,450 --> 00:01:15,070
+الطالب على الحل العام لمعادة الفضلية من درجة
+
+15
+00:01:15,070 --> 00:01:20,730
+الثانية عندما تكون الجذور تخيلية ثلاثة كحلقة طالب
+
+16
+00:01:20,730 --> 00:01:22,330
+مسائل متنوعة على الموضوع
+
+17
+00:01:26,920 --> 00:01:32,960
+نفترض أننا عندنا معادلة تفضلية في معادلة واحد
+
+18
+00:01:32,960 --> 00:01:38,680
+معادلة واضحة أنها من درجة ثانية Linear خطية
+
+19
+00:01:38,680 --> 00:01:44,020
+homogeneous والـ coefficients ABC constants يعني
+
+20
+00:01:44,020 --> 00:01:48,480
+هذه معادلة تفضلية من درجة ثانية خطية homogeneous
+
+21
+00:01:48,480 --> 00:01:53,120
+والـ coefficients constantsدرسنا حالة واحدة اللي
+
+22
+00:01:53,120 --> 00:01:58,000
+حلها في سكتين تلاتة واحد هو أن أوجدنا بالأول اللي
+
+23
+00:01:58,000 --> 00:02:00,740
+هو الـ characteristic equation وهي في الصورة هذه
+
+24
+00:02:00,740 --> 00:02:04,340
+في عمعادة رقم اتنين characteristic equation دي AR
+
+25
+00:02:04,340 --> 00:02:09,800
+تربية زي بي R زي C بيساوي سفر وكان اللي هو مميزتها
+
+26
+00:02:09,800 --> 00:02:14,380
+بي تربية نقص أربعة AC أكبر من سفر فبنتج ان R هيكون
+
+27
+00:02:14,380 --> 00:02:19,200
+إلا قيمتين حقيقتين مختلفتينفي هذا الـ Section
+
+28
+00:02:19,200 --> 00:02:24,400
+نفترض أنه المميز أقل من صفر وبالتالي سيكون جذور
+
+29
+00:02:24,400 --> 00:02:29,200
+الـ Characteristic equation تخيّلية يُكتب أحدهم في
+
+30
+00:02:29,200 --> 00:02:33,660
+الصورة الأولى نفترض أن R1 سوى Lambda زاد Mu في I
+
+31
+00:02:33,660 --> 00:02:37,540
+لأن Lambda و Mu ثوابت والـ I هو الجدرس السالف واحد
+
+32
+00:02:37,540 --> 00:02:43,060
+وR2 هو الـ Complex المراقب له لأن Lambda ناقص Mu
+
+33
+00:02:43,060 --> 00:02:49,750
+في Iسندرس في هذا الـ section كيف هيكون صورة الحل
+
+34
+00:02:49,750 --> 00:02:52,850
+العام لمعادة تفضلية رقم واحد عندما تكون
+
+35
+00:02:52,850 --> 00:02:56,810
+characteristic equation في دورها تخيّلية حتى نحصل
+
+36
+00:02:56,810 --> 00:03:00,950
+على حلول لمعادة تفضلية رقم واحد في الحل العام
+
+37
+00:03:00,950 --> 00:03:03,190
+يتوجب أن نجد حلين أساسيين
+
+38
+00:03:05,970 --> 00:03:11,130
+الان باستخدام نفس الأسلوب الحالين
+
+39
+00:03:11,130 --> 00:03:13,990
+المعادلة التفضلية عندي هو الواحد والاتنين يكتبوا
+
+40
+00:03:13,990 --> 00:03:17,850
+الصورة E أس R واحد T و E أس R اتنين T انا اخدنا في
+
+41
+00:03:17,850 --> 00:03:21,990
+الشريحة السابق ان R واحد هو Lambda زاد Mu I وR
+
+42
+00:03:21,990 --> 00:03:27,080
+اتنين هو Lambda نقص Mu I في Tسنحاول أن نتخلص من
+
+43
+00:03:27,080 --> 00:03:31,540
+الـ Complex I وهو الـ formula المشهورة لـ Euler
+
+44
+00:03:31,540 --> 00:03:36,200
+formula أنه نكتب أي exponential بالصورة هذا E أس T
+
+45
+00:03:36,200 --> 00:03:40,660
+I عليه السبب Cos T زي I في Sin T هذه ال formula
+
+46
+00:03:40,660 --> 00:03:45,360
+المشهورة سنحتاجها ان شاء الله في الفصل الرابع أيضا
+
+47
+00:03:47,360 --> 00:03:52,460
+باستخدام Polar Equation سنستطيع كتابة Y1 وY2
+
+48
+00:03:52,460 --> 00:04:00,680
+بالصورة التالية Y1 هي سوا E أس Lambda Mu T في R أو
+
+49
+00:04:00,680 --> 00:04:07,220
+Mu I T هي سوا E أس Lambda T في E أس Mu T وزّعنا
+
+50
+00:04:09,420 --> 00:04:13,300
+واتساوي E أس لامبدا T في كزان ميو T زايد I في صيني
+
+51
+00:04:13,300 --> 00:04:17,400
+ميو T هنا استخدمنا Law of Location في البداية
+
+52
+00:04:17,400 --> 00:04:21,620
+بالنسبة لامبدا زايد ميو I في T وزعنا ال T في
+
+53
+00:04:21,620 --> 00:04:26,440
+الداخل وفصلنا E أس لامبدا T في E أس ميو T في I E
+
+54
+00:04:26,440 --> 00:04:29,460
+أس لامبدا T هيبقى زي ما هو لكن E أس ميو T في I
+
+55
+00:04:29,460 --> 00:04:33,840
+هنستخدم Law of Location هساوي كزان ميو في T زايد I
+
+56
+00:04:33,840 --> 00:04:37,680
+في صيني ميو T بالمثل Y2 ده كان هتختلف فقط الإشارة
+
+57
+00:04:37,680 --> 00:04:42,100
+يعنيطبعاً مش هتكون في إشارة عن كوزاين نكتب كوزاين
+
+58
+00:04:42,100 --> 00:04:45,100
+مقتصر بالموضوع دي لإن كوزاين زوجية فممكن نكتبه
+
+59
+00:04:45,100 --> 00:04:49,500
+بدون إشارة إتصاليةهذا المهم هو Y1 وY2 كتبناه
+
+60
+00:04:49,500 --> 00:04:54,900
+بالصورة هذه الان Y1 وY2 هم حالين المعادلة الأولى
+
+61
+00:04:54,900 --> 00:04:58,560
+هي homogeneous وبالتالي مجموعهم والفرق بينهم
+
+62
+00:04:58,560 --> 00:05:03,540
+هيديني حلول جديدة فناخد مجموع الحلين Y1 وY2 هيديني
+
+63
+00:05:03,540 --> 00:05:07,360
+المجموع نجمع الاتنين مع بعض مجمعهم اللي هو الجزء
+
+64
+00:05:07,360 --> 00:05:11,940
+اللي تخيله هيختفي من هنا لأنه هي cancel بعض هنحصل
+
+65
+00:05:11,940 --> 00:05:17,450
+على هذا الحلطبعاً هذا الحلق في الـ Y1 وY2
+
+66
+00:05:20,980 --> 00:05:24,960
+بقدر اتخلص من الثابت اتنين وانت وابقى اللي هو
+
+67
+00:05:24,960 --> 00:05:28,080
+الجزء هذا الأول اللي هو E أوس لامبدا T في كزايم U
+
+68
+00:05:28,080 --> 00:05:32,540
+T يكفينا هذا الحل، هذه الحل الأول بالمثل ناخد
+
+69
+00:05:32,540 --> 00:05:36,300
+الفرق بينهم وإي واحد ناقص وإي اتنين نطرح ونحصل
+
+70
+00:05:36,300 --> 00:05:39,780
+اللي هو الفرق يسوى اتنين I في E أوس لامبدا T في
+
+71
+00:05:39,780 --> 00:05:43,520
+صانم U T فمع اتنين I اللي ثابت سيفي كملة تتخلص منه
+
+72
+00:05:43,520 --> 00:05:48,230
+فهو معناه الحل E أوس لامبدا T في صانم U Tهذه
+
+73
+00:05:48,230 --> 00:05:51,870
+الحلول هم ايوس لامبدا ت في كوزاني ميو ت و ايوس
+
+74
+00:05:51,870 --> 00:05:57,610
+لامبدا ت في كوزاني ميو ت تخلصنا من ال complex هذين
+
+75
+00:05:57,610 --> 00:06:00,910
+الحلول هم حالين أساسيين سنكتب الحل عام بدلالته لكن
+
+76
+00:06:00,910 --> 00:06:04,970
+قبل ذلك يجب ان نتأكد ان هم الحلول الأساسية
+
+77
+00:06:08,080 --> 00:06:10,680
+عشان أندى اللى هو اللى في الشريعة السابقة اللى هم
+
+78
+00:06:10,680 --> 00:06:13,580
+أخدنا الحالين E of lambda T cosine of mu T وE of
+
+79
+00:06:13,580 --> 00:06:16,420
+lambda T sine of mu T حصلنا على أول بالجمع الحالين
+
+80
+00:06:16,420 --> 00:06:20,580
+Y1 وY2 وY2 حصلنا عليه بالفرق بينهم فهدولة حلول
+
+81
+00:06:20,580 --> 00:06:26,830
+للمعادلة التفضلية الأولى إنهطيب عشان نكون قادرين
+
+82
+00:06:26,830 --> 00:06:29,610
+على تنظيم الـ solutions لازم نحقق الشرط التاني أن
+
+83
+00:06:29,610 --> 00:06:32,210
+الـ Ronskian لهم لا يساوي سفر وبالفعل لما نحسب الـ
+
+84
+00:06:32,210 --> 00:06:35,770
+Ronskian هالأولى والمشتقته التاني والمشتقته نضرب
+
+85
+00:06:35,770 --> 00:06:40,190
+ونحسب ال .. كنا بنعرف كيف نحسب المحدد هيطلع المحدد
+
+86
+00:06:40,190 --> 00:06:45,770
+ونختصر E أُس يساوي Mu في E بس اتنين Lambda T وهذا
+
+87
+00:06:45,770 --> 00:06:48,690
+دائما لا يساوي سفر هو يساوي سفر في حالة واحدة أن
+
+88
+00:06:48,690 --> 00:06:52,310
+Mu تساوي سفر لكن Mu هذا مستحيل تساوي سفر في حالتنا
+
+89
+00:06:52,570 --> 00:06:56,550
+لأن نحن ندرس بالكمبيكس نوث وميو مضروف بالـI لو كان
+
+90
+00:06:56,550 --> 00:06:59,750
+عندي ميو بصفر مايكونش عندى بالكمبيكس نوث لو رجعنا
+
+91
+00:06:59,750 --> 00:07:04,630
+على الشريحة هذه
+
+92
+00:07:04,630 --> 00:07:09,130
+انا عندي هي R واحد سوى Lambda زي الميو I هنا عشان
+
+93
+00:07:09,130 --> 00:07:13,570
+عندك R واحد هو كمبيكس مستحيل الميو تسوى صفر ممكن
+
+94
+00:07:13,570 --> 00:07:16,750
+Lambda بصفر لكن الميو المضروف بالـI ما بيسوى صفر
+
+95
+00:07:22,590 --> 00:07:25,570
+بالتالي الرونسكان يسوى ميو في E أس اتنية لامده T و
+
+96
+00:07:25,570 --> 00:07:27,270
+احنا نعرف ان الـ Exponential يسوى السفر و الـ Mu
+
+97
+00:07:27,270 --> 00:07:30,130
+لاتسوى السفر وبالتالي الرونسكان لا يسوى السفر و
+
+98
+00:07:30,130 --> 00:07:33,850
+بدأت يتفاعل حالين E أس لامده T كزاني ميو T و E أس
+
+99
+00:07:33,850 --> 00:07:36,690
+لامده T كزاني ميو T يكونون الـ Fundamental
+
+100
+00:07:36,690 --> 00:07:40,250
+Solutions أو Linear Independent Solutions وزي ما
+
+101
+00:07:40,250 --> 00:07:43,540
+درستنا في الـ Section 3-2وفي التلاتة التانية ده ال
+
+102
+00:07:43,540 --> 00:07:46,680
+general solution هو ده راكونه منهم ان انا اكتبه
+
+103
+00:07:46,680 --> 00:07:50,080
+cardinal combination يساوي ال C ثابت في الأول ثانى
+
+104
+00:07:50,080 --> 00:07:52,860
+ثابت في التانى فال general solution المعنى التفضل
+
+105
+00:07:52,860 --> 00:07:56,180
+اللي عندي هي يساوي Y يساوي C واحد في E أصلامده D
+
+106
+00:07:56,180 --> 00:07:59,480
+في كوزاني Mu T ذات C اتنين في E أصلامده D في ثاني
+
+107
+00:07:59,480 --> 00:08:03,360
+Mu T where C واحد وC اتنين are arbitrary constants
+
+108
+00:08:04,140 --> 00:08:08,060
+طبعا هنا واضح ان احنا اول حاجة خطوات الحل ان نوجد
+
+109
+00:08:08,060 --> 00:08:11,200
+characteristic equation بعدين تلقى حيكون ان في
+
+110
+00:08:11,200 --> 00:08:15,520
+الحالة اللي عندها جذور تخيلية حيكون عندي Lambda
+
+111
+00:08:15,520 --> 00:08:19,260
+الجزء الحقيقي وMu جزء التخيلة بعدين تبقى على دول
+
+112
+00:08:19,260 --> 00:08:22,220
+الحلقة التالتة الحل عامة الصورة هذا E is Lambda T
+
+113
+00:08:22,220 --> 00:08:27,740
+بزارة Mu T بزارة C2 E is Lambda T بزارة Mu T الآن
+
+114
+00:08:27,740 --> 00:08:30,140
+بقية المحاضرة هتكونت ان شاء الله تطبيقات واسئلة
+
+115
+00:08:30,140 --> 00:08:32,640
+على الموضوع نبدأ في اول مثال
+
+116
+00:08:40,350 --> 00:08:46,130
+أول خطوة دي بـ Characteristic Equation هي R ترميل
+
+117
+00:08:46,130 --> 00:08:47,530
+سطر R زد واحد بصوت صفر
+
+118
+00:08:55,130 --> 00:09:10,450
+معاملة R واحد
+
+119
+00:09:10,450 --> 00:09:17,160
+سالت نقص نقص نقص نقص نقص نقص نقص نقص نقص نقصنقص
+
+120
+00:09:17,160 --> 00:09:20,540
+إيجاد الكلة على تنين I على دورها أروح لل general
+
+121
+00:09:20,540 --> 00:09:26,020
+solution differential equation Y بيسوي C1 في E أُس
+
+122
+00:09:26,020 --> 00:09:31,060
+سادة بنص غير البعض T بكوزين الجزء التخيلي في T زي
+
+123
+00:09:31,060 --> 00:09:34,240
+C2 نفس الكلمة بس بدل كوزين هنستخدمها بالساعة
+
+124
+00:09:34,240 --> 00:09:39,200
+فالخطوات بسيطة تلت خطوات أول إيجاد characteristic
+
+125
+00:09:39,200 --> 00:09:42,620
+equation اتنية إيجاد جدورها تلتة تعويض بالصورة
+
+126
+00:09:42,620 --> 00:09:45,620
+العامةبما في بعض الأسلحة ممكن أن تكون جزء الحقيقي
+
+127
+00:09:45,620 --> 00:09:49,420
+صفر لكن جزء تقريبا ما بيصوى صفر في الحل اللي عندنا
+
+128
+00:09:49,420 --> 00:09:54,740
+ناخد مثال تاني find the general solution of y
+
+129
+00:09:54,740 --> 00:09:56,540
+double prime زي التسعة y بيصوى zero
+
+130
+00:09:56,540 --> 00:10:00,720
+characterization ان تقول هذا الأسلحة في بلخطه فهذه
+
+131
+00:10:00,720 --> 00:10:04,260
+بيجي كتب r تربيع زي التسعة a لإن عندنا معامل
+
+132
+00:10:04,260 --> 00:10:06,820
+hundred y double prime معاملة واحد عندنا ناخد r
+
+133
+00:10:06,820 --> 00:10:09,900
+تربيع معاملة واحد عندنا r تربيع y prime مش موجودة
+
+134
+00:10:09,900 --> 00:10:13,970
+يعني معاملة صفر is an r معاملة صفر مش موجودةوالـ y
+
+135
+00:10:13,970 --> 00:10:17,710
+هو عاملة 9 هيتسعى هذه هي ال situation بسيطة جدا
+
+136
+00:10:17,710 --> 00:10:22,070
+انجل التسعة بطرف الأمين و بطلع ال R يساوي تلاتة R
+
+137
+00:10:22,070 --> 00:10:25,830
+زاده نقطة جدرس سالف تسعة فببتدي R واحد هيتساوي
+
+138
+00:10:25,830 --> 00:10:29,650
+تلاتة I عارف تنين سالف تلاتة I تلاحظ هدولة complex
+
+139
+00:10:29,650 --> 00:10:32,670
+و conjugate لكن الجزء اللي هو التخيل اللي موجود
+
+140
+00:10:32,670 --> 00:10:37,790
+عند التلاتةلكن الحقيقة سفر فمافي مشكلة بنعود لصورة
+
+141
+00:10:37,790 --> 00:10:42,310
+عامة تخيلوا سفر
+
+142
+00:10:42,310 --> 00:10:47,510
+يكون واحد هتبقى بس الـC واحد في كوزاعة تلاتة T اذا
+
+143
+00:10:47,510 --> 00:10:49,990
+الـC تنين في الساعة تلاتة T لأن الـExponential
+
+144
+00:10:49,990 --> 00:10:54,740
+مرفوعة كوفة سفرإن هنا الـ real part صفر الـ lambda
+
+145
+00:10:54,740 --> 00:10:58,480
+الـ real part صفر فبالتالي إذا إن هي فتواة زرعينها
+
+146
+00:10:58,480 --> 00:11:00,780
+تلاتة ال characteristic equation أرض ال V زرع
+
+147
+00:11:00,780 --> 00:11:06,020
+التسعة مباشرة جدورها زرع R واحد تلاتة I وR اتنين
+
+148
+00:11:06,020 --> 00:11:09,560
+ثالث تلاتة I فطول عوضنا C واحد في E أوس لامدة
+
+149
+00:11:09,560 --> 00:11:12,800
+لامدة عدي بصفر فE أوس لامدة T هيكون واحد فبدأ ال
+
+150
+00:11:12,800 --> 00:11:15,200
+cosine ميو بيو مقام تلاتة هيها
+
+151
+00:11:20,950 --> 00:11:25,710
+ناخد مثلًا مثلًا اي او دي دمعة ايه برضه حلول ايه
+
+152
+00:11:25,710 --> 00:11:27,970
+نشتغل فيها ال problem اللي بزيد انه بعد ما نجيب ال
+
+153
+00:11:27,970 --> 00:11:31,130
+generalization بنكون معادلة عشان نجيب اللي هم ال
+
+154
+00:11:31,130 --> 00:11:35,530
+constants C1 وC2 باستخدام الشروط اللي عندنا أمامنا
+
+155
+00:11:36,310 --> 00:11:40,830
+الـ Characteristic equation 16R³-8IR زي نية و خمسة
+
+156
+00:11:40,830 --> 00:11:44,510
+I ربعين سوى Zero بيوجدها بالاستخدام القانون العام،
+
+157
+00:11:44,510 --> 00:11:47,150
+كنتم تعرفين كيف تستخدموه، وطلع عنها الـ R واحد و R
+
+158
+00:11:47,150 --> 00:11:51,230
+اتنين هي الصورة هذه ربع زي تلاتة I و ربع نقص تلاتة
+
+159
+00:11:51,230 --> 00:11:57,310
+I، فالـ Lambda عندنا ربع و الـ Mu بتلاتة، فعوض
+
+160
+00:11:57,310 --> 00:12:01,470
+نشوف هنا، هذا هو الحل الـ General solution C1 في E
+
+161
+00:12:01,470 --> 00:12:04,990
+اصر ربع T كزا عن تلاتة T زي C2 في E اصر ربع T اصر
+
+162
+00:12:04,990 --> 00:12:11,640
+عن تلاتة Tهذه المثالين السابقة كانت هنا لإنجيب الـ
+
+163
+00:12:11,640 --> 00:12:12,220
+C1 وC2
+
+164
+00:12:16,580 --> 00:12:20,060
+هذه الشرط الأول Y صفر بيساوي ساعة باتنين و Y برايم
+
+165
+00:12:20,060 --> 00:12:23,720
+الصفر بيساوي واحد فانا عند الشرط الأول هعوض على
+
+166
+00:12:23,720 --> 00:12:26,200
+طول في الحل العام لكن عشان نستخدم الشرط التالي
+
+167
+00:12:26,200 --> 00:12:29,280
+لازم نجيب المشتقة الأولى ففي الأول بجيب المشتقة
+
+168
+00:12:29,280 --> 00:12:32,480
+الأولى و بعدين بنعوض بالشرطين و بنكوّن معادلتين في
+
+169
+00:12:32,480 --> 00:12:38,140
+مجهولينهم نحن فهنشوف كيف تصير أمورها هاي Y برايم
+
+170
+00:12:38,140 --> 00:12:44,050
+حسب ما كلكم بتعرفوا حصل درس ذاتينهذه بطبعا مشتركة
+
+171
+00:12:44,050 --> 00:12:47,630
+الأولى نستخدم الشرط الأول يسمى Y السفر يساوي سالة
+
+172
+00:12:47,630 --> 00:12:54,730
+بدنان يقص سفر بيساوي واحد فمسيح سي واحد فكوزين
+
+173
+00:12:54,730 --> 00:12:57,750
+السفر بواحد وهذا بيطلع كله بصفر لإن سان السفر
+
+174
+00:12:57,750 --> 00:12:58,430
+يساوي السفر
+
+175
+00:13:05,110 --> 00:13:09,650
+بعدما عوضنا في المعادلة يظهر C1 بـ-2 وهي برنامج
+
+176
+00:13:09,650 --> 00:13:13,090
+مهيان عوض بالصفر اللي فيه الـsin هيصفر يعني هذا
+
+177
+00:13:13,090 --> 00:13:15,870
+المجلد هيصير صفر وده فيه هيصير صفر يعني الـsin
+
+178
+00:13:15,870 --> 00:13:19,890
+هيصير صفر بصفر ده اللي هدولة بيظهر عنده ربع C1 زي
+
+179
+00:13:19,890 --> 00:13:23,330
+تلتة C2 والحين المعادلة بيظهر C2 سوة تلتة عتنين
+
+180
+00:13:23,330 --> 00:13:26,930
+بالتعود في المعادلة الأولى على قيمة C1 يعني بـ-2
+
+181
+00:13:27,200 --> 00:13:31,060
+فبطبعا C2 ثالثة على اتنين احنا حلنا ال problem هو
+
+182
+00:13:31,060 --> 00:13:34,380
+نفسه حل ال differential equation لكن هنستبدل C1
+
+183
+00:13:34,380 --> 00:13:39,720
+وC2 في المجلة فقط هيأخد عند Y سوى سالب اتنين في E
+
+184
+00:13:39,720 --> 00:13:44,200
+وصف ربع T ثلاثة على اتنين في E وصف ربع T ثلاثة على
+
+185
+00:13:44,200 --> 00:13:46,220
+اتنين في E وصف ربع T ثلاثة على اتنين في E وصف ربع
+
+186
+00:13:46,220 --> 00:13:50,740
+T الحاجة الوحيدة زي ده ان احنا حسبنا ال constant
+
+187
+00:13:52,920 --> 00:13:55,900
+الزيادة كانت على السؤالين السابقين أنه أنا عندي
+
+188
+00:13:55,900 --> 00:13:59,600
+شرطين فاستخدمنا شرطان في إيجاد الـConstant C1C2
+
+189
+00:13:59,600 --> 00:14:03,240
+عوضنا في الشرطين وكوّلنا معدلين وحللنا وطلعنا قيمة
+
+190
+00:14:03,240 --> 00:14:06,880
+C1 وطيئة قيمة C2 وعوضنا بعدين كلمة مرة ورجعنا
+
+191
+00:14:06,880 --> 00:14:11,500
+لحالة عام عوضنا عن قيمة C1C2 فهي هي ممكن حل
+
+192
+00:14:11,500 --> 00:14:16,180
+الانياش ال value problem ناخد
+
+193
+00:14:16,180 --> 00:14:22,740
+آخر مثال معناه هذا المثال عكسيعني طالب مني ويقول
+
+194
+00:14:22,740 --> 00:14:26,700
+زي ما شايفين example أربع بقول لي فعلا ده
+
+195
+00:14:26,700 --> 00:14:30,560
+differential equation whose general solution is
+
+196
+00:14:30,560 --> 00:14:33,460
+يعني أوجد المعادلة التفاضلية اللي حلها العام
+
+197
+00:14:33,460 --> 00:14:36,500
+ومدينيها لحل العام Y بيسوي C1 في U ثالث T كوزان
+
+198
+00:14:36,500 --> 00:14:40,800
+اتنين T إذا C2 في U ثالث T صين اتنين T احنا كنا في
+
+199
+00:14:40,800 --> 00:14:44,820
+الأمثلة السابقة نعطينا معادلة التفاضلية ونجيب حلها
+
+200
+00:14:44,820 --> 00:14:48,560
+لكنها بالعكس المعطلين هو الحلغير من المعادلة
+
+201
+00:14:48,560 --> 00:14:52,080
+الفضلية فهنا هنصير عكس الحلقة بقعة فالقوات اللي
+
+202
+00:14:52,080 --> 00:14:56,360
+كانت هنا كان في الأول اذا كنت معادلة فضلية اجيب ال
+
+203
+00:14:56,360 --> 00:14:58,900
+characteristic equation بعدين اجيب جدورها بعدين
+
+204
+00:14:58,900 --> 00:15:02,720
+اطلع الحلقة عامة طب انا الوقت وعارف الحلقة عامة
+
+205
+00:15:02,720 --> 00:15:06,320
+بقدر اطلع منه الجدوء عرفت الجدوء بقدر اكون
+
+206
+00:15:06,320 --> 00:15:10,120
+المعادلة عبارة لجدورها اتنين زي ما ال
+
+207
+00:15:10,120 --> 00:15:15,160
+characteristic equation فبقيت انا عندىRoot of the
+
+208
+00:15:15,160 --> 00:15:19,060
+characteristic equation R المعادلة واضح ان R1
+
+209
+00:15:19,060 --> 00:15:22,380
+بيساوي جزء من الحقيقه اللي هو الكوه هاد T والسالب
+
+210
+00:15:22,380 --> 00:15:26,840
+T معامل P سال واحد سال واحد زائد و ال cosine اتنين
+
+211
+00:15:26,840 --> 00:15:30,180
+T هنا اتنين R التاني نفس الشيء ال conjugate سال
+
+212
+00:15:30,180 --> 00:15:36,390
+اتنين Rهدهم R1 وR2 ناخد مجموحهم R1 زي دقر 2 بديني
+
+213
+00:15:36,390 --> 00:15:40,530
+سلبي 2 لأن 2I هيكبر مع 2I حصل ضربهم من جمب وبع
+
+214
+00:15:40,530 --> 00:15:44,570
+بديني مربع لو جزء الحقيقي زي مربع الجزء التخيله
+
+215
+00:15:44,570 --> 00:15:50,890
+سوية 5المعادلة زي ما درستها في العدادية لو أنا
+
+216
+00:15:50,890 --> 00:15:54,870
+عندي عددين حقيقية زي هدولة سلب اتنين وخمسة
+
+217
+00:15:54,870 --> 00:15:58,170
+فالمعادلة من درجة تانية جدورها سلب اتنين وخمسة
+
+218
+00:15:58,170 --> 00:16:01,750
+تحسب بطريقة ده هي R تربيعي ناقص مجموع الجدرين في R
+
+219
+00:16:01,750 --> 00:16:05,570
+زي حسب دربهم اذا نحن نتعرف على R تربيعي زي اتنين R
+
+220
+00:16:05,570 --> 00:16:09,490
+زي خمسة بسوء السفر اذا هذه هي ال characteristic
+
+221
+00:16:09,490 --> 00:16:12,190
+equation عنديطب انا مادام انا افتكر ال
+
+222
+00:16:12,190 --> 00:16:14,930
+characteristication بقدر اكوّن معادلة اردر بيها هي
+
+223
+00:16:14,930 --> 00:16:18,030
+بدأ يكون y double prime ده شو معاملة واحد و ال y
+
+224
+00:16:18,030 --> 00:16:21,090
+بدأت y prime و معاملة اتنين هي اتنين y prime خمسة
+
+225
+00:16:21,090 --> 00:16:25,990
+هكون مروح y و دي نسوش بالنسبة خمسة y فهذه معادلة
+
+226
+00:16:25,990 --> 00:16:29,430
+التفاظلية و درجة تانية هي y double prime زاد اتنين
+
+227
+00:16:29,430 --> 00:16:33,650
+y prime زاد خمسة y بيساوي الصفر فلو انت حليتها
+
+228
+00:16:33,650 --> 00:16:36,670
+هيطلع اللي عندك الحل عام هي الصورة هذه
+
+229
+00:16:40,430 --> 00:16:43,810
+هناك كتير في بيادة عدد من الأمثلة بحيث بكون أنهينا
+
+230
+00:16:43,810 --> 00:16:48,030
+سيكشن تلاتة أربع أشكركم لحسن سماعتكم وأتمنى
+
+231
+00:16:48,030 --> 00:16:50,490
+التوفيق للجميع السلام عليكم ورحمة الله وبركاته
+
diff --git a/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/ZwFFecbF9T0_raw.srt b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/ZwFFecbF9T0_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c92d91fa62b3584dccdaa8f3fe7bdddf0758ae7b
--- /dev/null
+++ b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/ZwFFecbF9T0_raw.srt
@@ -0,0 +1,924 @@
+1
+00:00:00,000 --> 00:00:04,220
+بسم الله الرحمن الرحيم عزيزي الطلاب والطلاب السلام
+
+2
+00:00:04,220 --> 00:00:09,460
+عليكم ورحمة الله وبركاته في فيديو جديد نشرح فيه
+
+3
+00:00:09,460 --> 00:00:13,560
+درس جديد من نصح معادلات تفضلية عادية في هذا
+
+4
+00:00:13,560 --> 00:00:21,200
+الفيديو سنشرح ان شاء الله section 3-4 بعنوان
+
+5
+00:00:21,200 --> 00:00:24,120
+complex rules of the characteristic equations
+
+6
+00:00:27,020 --> 00:00:30,640
+درسنا في section 3.1 الـ Characteristic Equation
+
+7
+00:00:30,640 --> 00:00:37,840
+واخدنا حالة واحدة فهي عندما تكون جذورها حقيقية فهي
+
+8
+00:00:37,840 --> 00:00:41,000
+جذرية حقيقية مختلفة و هذه الحالة تحدث عندما يكون
+
+9
+00:00:41,000 --> 00:00:46,420
+المميز أقل من صفر ولكن إذا كان مميزها أقل من صفر
+
+10
+00:00:46,420 --> 00:00:52,700
+فإننا سنحصل على جذور مركبة Complex Roots سندرس هذه
+
+11
+00:00:52,700 --> 00:00:59,370
+الحالة في هذه ال sectionبعد انتهاء من هذه المحاضرة
+
+12
+00:00:59,370 --> 00:01:06,950
+نتوقع أن تحقق الأهداف التالية واحد يوجد الطالب
+
+13
+00:01:06,950 --> 00:01:12,450
+الجذور التخيلية لل characteristic equation اتعرف
+
+14
+00:01:12,450 --> 00:01:15,070
+الطالب على الحل العام لمعادة الفضلية من درجة
+
+15
+00:01:15,070 --> 00:01:20,730
+الثانية عندما تكون الجذور تخيلية ثلاثة كحلقة طالب
+
+16
+00:01:20,730 --> 00:01:22,330
+مسائل متنوعة على الموضوع
+
+17
+00:01:26,920 --> 00:01:32,960
+نفترض أننا عندنا معادلة تفضلية في معادلة واحد
+
+18
+00:01:32,960 --> 00:01:38,680
+معادلة واضحة أنها من درجة ثانية Linear خطية
+
+19
+00:01:38,680 --> 00:01:44,020
+homogeneous والـ coefficients ABC constants يعني
+
+20
+00:01:44,020 --> 00:01:48,480
+هذه معادلة تفضلية من درجة ثانية خطية homogeneous
+
+21
+00:01:48,480 --> 00:01:53,120
+والـ coefficients constantsدرسنا حالة واحدة اللي
+
+22
+00:01:53,120 --> 00:01:58,000
+حلها في سكتين تلاتة واحد هو أن أوجدنا بالأول اللي
+
+23
+00:01:58,000 --> 00:02:00,740
+هو الـ characteristic equation وهي في الصورة هذه
+
+24
+00:02:00,740 --> 00:02:04,340
+في عمعادة رقم اتنين characteristic equation دي AR
+
+25
+00:02:04,340 --> 00:02:09,800
+تربية زي بي R زي C بيساوي سفر وكان اللي هو مميزتها
+
+26
+00:02:09,800 --> 00:02:14,380
+بي تربية نقص أربعة AC أكبر من سفر فبنتج ان R هيكون
+
+27
+00:02:14,380 --> 00:02:19,200
+إلا قيمتين حقيقتين مختلفتينفي هذا الـ Section
+
+28
+00:02:19,200 --> 00:02:24,400
+نفترض أنه المميز أقل من صفر وبالتالي سيكون جذور
+
+29
+00:02:24,400 --> 00:02:29,200
+الـ Characteristic equation تخيّلية يُكتب أحدهم في
+
+30
+00:02:29,200 --> 00:02:33,660
+الصورة الأولى نفترض أن R1 سوى Lambda زاد Mu في I
+
+31
+00:02:33,660 --> 00:02:37,540
+لأن Lambda و Mu ثوابت والـ I هو الجدرس السالف واحد
+
+32
+00:02:37,540 --> 00:02:43,060
+وR2 هو الـ Complex المراقب له لأن Lambda ناقص Mu
+
+33
+00:02:43,060 --> 00:02:49,750
+في Iسندرس في هذا الـ section كيف هيكون صورة الحل
+
+34
+00:02:49,750 --> 00:02:52,850
+العام لمعادة تفضلية رقم واحد عندما تكون
+
+35
+00:02:52,850 --> 00:02:56,810
+characteristic equation في دورها تخيّلية حتى نحصل
+
+36
+00:02:56,810 --> 00:03:00,950
+على حلول لمعادة تفضلية رقم واحد في الحل العام
+
+37
+00:03:00,950 --> 00:03:03,190
+يتوجب أن نجد حلين أساسيين
+
+38
+00:03:05,970 --> 00:03:11,130
+الان باستخدام نفس الأسلوب الحالين
+
+39
+00:03:11,130 --> 00:03:13,990
+المعادلة التفضلية عندي هو الواحد والاتنين يكتبوا
+
+40
+00:03:13,990 --> 00:03:17,850
+الصورة E أس R واحد T و E أس R اتنين T انا اخدنا في
+
+41
+00:03:17,850 --> 00:03:21,990
+الشريحة السابق ان R واحد هو Lambda زاد Mu I وR
+
+42
+00:03:21,990 --> 00:03:27,080
+اتنين هو Lambda نقص Mu I في Tسنحاول أن نتخلص من
+
+43
+00:03:27,080 --> 00:03:31,540
+الـ Complex I وهو الـ formula المشهورة لـ Euler
+
+44
+00:03:31,540 --> 00:03:36,200
+formula أنه نكتب أي exponential بالصورة هذا E أس T
+
+45
+00:03:36,200 --> 00:03:40,660
+I عليه السبب Cos T زي I في Sin T هذه ال formula
+
+46
+00:03:40,660 --> 00:03:45,360
+المشهورة سنحتاجها ان شاء الله في الفصل الرابع أيضا
+
+47
+00:03:47,360 --> 00:03:52,460
+باستخدام Polar Equation سنستطيع كتابة Y1 وY2
+
+48
+00:03:52,460 --> 00:04:00,680
+بالصورة التالية Y1 هي سوا E أس Lambda Mu T في R أو
+
+49
+00:04:00,680 --> 00:04:07,220
+Mu I T هي سوا E أس Lambda T في E أس Mu T وزّعنا
+
+50
+00:04:09,420 --> 00:04:13,300
+واتساوي E أس لامبدا T في كزان ميو T زايد I في صيني
+
+51
+00:04:13,300 --> 00:04:17,400
+ميو T هنا استخدمنا Law of Location في البداية
+
+52
+00:04:17,400 --> 00:04:21,620
+بالنسبة لامبدا زايد ميو I في T وزعنا ال T في
+
+53
+00:04:21,620 --> 00:04:26,440
+الداخل وفصلنا E أس لامبدا T في E أس ميو T في I E
+
+54
+00:04:26,440 --> 00:04:29,460
+أس لامبدا T هيبقى زي ما هو لكن E أس ميو T في I
+
+55
+00:04:29,460 --> 00:04:33,840
+هنستخدم Law of Location هساوي كزان ميو في T زايد I
+
+56
+00:04:33,840 --> 00:04:37,680
+في صيني ميو T بالمثل Y2 ده كان هتختلف فقط الإشارة
+
+57
+00:04:37,680 --> 00:04:42,100
+يعنيطبعاً مش هتكون في إشارة عن كوزاين نكتب كوزاين
+
+58
+00:04:42,100 --> 00:04:45,100
+مقتصر بالموضوع دي لإن كوزاين زوجية فممكن نكتبه
+
+59
+00:04:45,100 --> 00:04:49,500
+بدون إشارة إتصاليةهذا المهم هو Y1 وY2 كتبناه
+
+60
+00:04:49,500 --> 00:04:54,900
+بالصورة هذه الان Y1 وY2 هم حالين المعادلة الأولى
+
+61
+00:04:54,900 --> 00:04:58,560
+هي homogeneous وبالتالي مجموعهم والفرق بينهم
+
+62
+00:04:58,560 --> 00:05:03,540
+هيديني حلول جديدة فناخد مجموع الحلين Y1 وY2 هيديني
+
+63
+00:05:03,540 --> 00:05:07,360
+المجموع نجمع الاتنين مع بعض مجمعهم اللي هو الجزء
+
+64
+00:05:07,360 --> 00:05:11,940
+اللي تخيله هيختفي من هنا لأنه هي cancel بعض هنحصل
+
+65
+00:05:11,940 --> 00:05:17,450
+على هذا الحلطبعاً هذا الحلق في الـ Y1 وY2
+
+66
+00:05:20,980 --> 00:05:24,960
+بقدر اتخلص من الثابت اتنين وانت وابقى اللي هو
+
+67
+00:05:24,960 --> 00:05:28,080
+الجزء هذا الأول اللي هو E أوس لامبدا T في كزايم U
+
+68
+00:05:28,080 --> 00:05:32,540
+T يكفينا هذا الحل، هذه الحل الأول بالمثل ناخد
+
+69
+00:05:32,540 --> 00:05:36,300
+الفرق بينهم وإي واحد ناقص وإي اتنين نطرح ونحصل
+
+70
+00:05:36,300 --> 00:05:39,780
+اللي هو الفرق يسوى اتنين I في E أوس لامبدا T في
+
+71
+00:05:39,780 --> 00:05:43,520
+صانم U T فمع اتنين I اللي ثابت سيفي كملة تتخلص منه
+
+72
+00:05:43,520 --> 00:05:48,230
+فهو معناه الحل E أوس لامبدا T في صانم U Tهذه
+
+73
+00:05:48,230 --> 00:05:51,870
+الحلول هم ايوس لامبدا ت في كوزاني ميو ت و ايوس
+
+74
+00:05:51,870 --> 00:05:57,610
+لامبدا ت في كوزاني ميو ت تخلصنا من ال complex هذين
+
+75
+00:05:57,610 --> 00:06:00,910
+الحلول هم حالين أساسيين سنكتب الحل عام بدلالته لكن
+
+76
+00:06:00,910 --> 00:06:04,970
+قبل ذلك يجب ان نتأكد ان هم الحلول الأساسية
+
+77
+00:06:08,080 --> 00:06:10,680
+عشان أندى اللى هو اللى في الشريعة السابقة اللى هم
+
+78
+00:06:10,680 --> 00:06:13,580
+أخدنا الحالين E of lambda T cosine of mu T وE of
+
+79
+00:06:13,580 --> 00:06:16,420
+lambda T sine of mu T حصلنا على أول بالجمع الحالين
+
+80
+00:06:16,420 --> 00:06:20,580
+Y1 وY2 وY2 حصلنا عليه بالفرق بينهم فهدولة حلول
+
+81
+00:06:20,580 --> 00:06:26,830
+للمعادلة التفضلية الأولى إنهطيب عشان نكون قادرين
+
+82
+00:06:26,830 --> 00:06:29,610
+على تنظيم الـ solutions لازم نحقق الشرط التاني أن
+
+83
+00:06:29,610 --> 00:06:32,210
+الـ Ronskian لهم لا يساوي سفر وبالفعل لما نحسب الـ
+
+84
+00:06:32,210 --> 00:06:35,770
+Ronskian هالأولى والمشتقته التاني والمشتقته نضرب
+
+85
+00:06:35,770 --> 00:06:40,190
+ونحسب ال .. كنا بنعرف كيف نحسب المحدد هيطلع المحدد
+
+86
+00:06:40,190 --> 00:06:45,770
+ونختصر E أُس يساوي Mu في E بس اتنين Lambda T وهذا
+
+87
+00:06:45,770 --> 00:06:48,690
+دائما لا يساوي سفر هو يساوي سفر في حالة واحدة أن
+
+88
+00:06:48,690 --> 00:06:52,310
+Mu تساوي سفر لكن Mu هذا مستحيل تساوي سفر في حالتنا
+
+89
+00:06:52,570 --> 00:06:56,550
+لأن نحن ندرس بالكمبيكس نوث وميو مضروف بالـI لو كان
+
+90
+00:06:56,550 --> 00:06:59,750
+عندي ميو بصفر مايكونش عندى بالكمبيكس نوث لو رجعنا
+
+91
+00:06:59,750 --> 00:07:04,630
+على الشريحة هذه
+
+92
+00:07:04,630 --> 00:07:09,130
+انا عندي هي R واحد سوى Lambda زي الميو I هنا عشان
+
+93
+00:07:09,130 --> 00:07:13,570
+عندك R واحد هو كمبيكس مستحيل الميو تسوى صفر ممكن
+
+94
+00:07:13,570 --> 00:07:16,750
+Lambda بصفر لكن الميو المضروف بالـI ما بيسوى صفر
+
+95
+00:07:22,590 --> 00:07:25,570
+بالتالي الرونسكان يسوى ميو في E أس اتنية لامده T و
+
+96
+00:07:25,570 --> 00:07:27,270
+احنا نعرف ان الـ Exponential يسوى السفر و الـ Mu
+
+97
+00:07:27,270 --> 00:07:30,130
+لاتسوى السفر وبالتالي الرونسكان لا يسوى السفر و
+
+98
+00:07:30,130 --> 00:07:33,850
+بدأت يتفاعل حالين E أس لامده T كزاني ميو T و E أس
+
+99
+00:07:33,850 --> 00:07:36,690
+لامده T كزاني ميو T يكونون الـ Fundamental
+
+100
+00:07:36,690 --> 00:07:40,250
+Solutions أو Linear Independent Solutions وزي ما
+
+101
+00:07:40,250 --> 00:07:43,540
+درستنا في الـ Section 3-2وفي التلاتة التانية ده ال
+
+102
+00:07:43,540 --> 00:07:46,680
+general solution هو ده راكونه منهم ان انا اكتبه
+
+103
+00:07:46,680 --> 00:07:50,080
+cardinal combination يساوي ال C ثابت في الأول ثانى
+
+104
+00:07:50,080 --> 00:07:52,860
+ثابت في التانى فال general solution المعنى التفضل
+
+105
+00:07:52,860 --> 00:07:56,180
+اللي عندي هي يساوي Y يساوي C واحد في E أصلامده D
+
+106
+00:07:56,180 --> 00:07:59,480
+في كوزاني Mu T ذات C اتنين في E أصلامده D في ثاني
+
+107
+00:07:59,480 --> 00:08:03,360
+Mu T where C واحد وC اتنين are arbitrary constants
+
+108
+00:08:04,140 --> 00:08:08,060
+طبعا هنا واضح ان احنا اول حاجة خطوات الحل ان نوجد
+
+109
+00:08:08,060 --> 00:08:11,200
+characteristic equation بعدين تلقى حيكون ان في
+
+110
+00:08:11,200 --> 00:08:15,520
+الحالة اللي عندها جذور تخيلية حيكون عندي Lambda
+
+111
+00:08:15,520 --> 00:08:19,260
+الجزء الحقيقي وMu جزء التخيلة بعدين تبقى على دول
+
+112
+00:08:19,260 --> 00:08:22,220
+الحلقة التالتة الحل عامة الصورة هذا E is Lambda T
+
+113
+00:08:22,220 --> 00:08:27,740
+بزارة Mu T بزارة C2 E is Lambda T بزارة Mu T الآن
+
+114
+00:08:27,740 --> 00:08:30,140
+بقية المحاضرة هتكونت ان شاء الله تطبيقات واسئلة
+
+115
+00:08:30,140 --> 00:08:32,640
+على الموضوع نبدأ في اول مثال
+
+116
+00:08:40,350 --> 00:08:46,130
+أول خطوة دي بـ Characteristic Equation هي R ترميل
+
+117
+00:08:46,130 --> 00:08:47,530
+سطر R زد واحد بصوت صفر
+
+118
+00:08:55,130 --> 00:09:10,450
+معاملة R واحد
+
+119
+00:09:10,450 --> 00:09:17,160
+سالت نقص نقص نقص نقص نقص نقص نقص نقص نقص نقصنقص
+
+120
+00:09:17,160 --> 00:09:20,540
+إيجاد الكلة على تنين I على دورها أروح لل general
+
+121
+00:09:20,540 --> 00:09:26,020
+solution differential equation Y بيسوي C1 في E أُس
+
+122
+00:09:26,020 --> 00:09:31,060
+سادة بنص غير البعض T بكوزين الجزء التخيلي في T زي
+
+123
+00:09:31,060 --> 00:09:34,240
+C2 نفس الكلمة بس بدل كوزين هنستخدمها بالساعة
+
+124
+00:09:34,240 --> 00:09:39,200
+فالخطوات بسيطة تلت خطوات أول إيجاد characteristic
+
+125
+00:09:39,200 --> 00:09:42,620
+equation اتنية إيجاد جدورها تلتة تعويض بالصورة
+
+126
+00:09:42,620 --> 00:09:45,620
+العامةبما في بعض الأسلحة ممكن أن تكون جزء الحقيقي
+
+127
+00:09:45,620 --> 00:09:49,420
+صفر لكن جزء تقريبا ما بيصوى صفر في الحل اللي عندنا
+
+128
+00:09:49,420 --> 00:09:54,740
+ناخد مثال تاني find the general solution of y
+
+129
+00:09:54,740 --> 00:09:56,540
+double prime زي التسعة y بيصوى zero
+
+130
+00:09:56,540 --> 00:10:00,720
+characterization ان تقول هذا الأسلحة في بلخطه فهذه
+
+131
+00:10:00,720 --> 00:10:04,260
+بيجي كتب r تربيع زي التسعة a لإن عندنا معامل
+
+132
+00:10:04,260 --> 00:10:06,820
+hundred y double prime معاملة واحد عندنا ناخد r
+
+133
+00:10:06,820 --> 00:10:09,900
+تربيع معاملة واحد عندنا r تربيع y prime مش موجودة
+
+134
+00:10:09,900 --> 00:10:13,970
+يعني معاملة صفر is an r معاملة صفر مش موجودةوالـ y
+
+135
+00:10:13,970 --> 00:10:17,710
+هو عاملة 9 هيتسعى هذه هي ال situation بسيطة جدا
+
+136
+00:10:17,710 --> 00:10:22,070
+انجل التسعة بطرف الأمين و بطلع ال R يساوي تلاتة R
+
+137
+00:10:22,070 --> 00:10:25,830
+زاده نقطة جدرس سالف تسعة فببتدي R واحد هيتساوي
+
+138
+00:10:25,830 --> 00:10:29,650
+تلاتة I عارف تنين سالف تلاتة I تلاحظ هدولة complex
+
+139
+00:10:29,650 --> 00:10:32,670
+و conjugate لكن الجزء اللي هو التخيل اللي موجود
+
+140
+00:10:32,670 --> 00:10:37,790
+عند التلاتةلكن الحقيقة سفر فمافي مشكلة بنعود لصورة
+
+141
+00:10:37,790 --> 00:10:42,310
+عامة تخيلوا سفر
+
+142
+00:10:42,310 --> 00:10:47,510
+يكون واحد هتبقى بس الـC واحد في كوزاعة تلاتة T اذا
+
+143
+00:10:47,510 --> 00:10:49,990
+الـC تنين في الساعة تلاتة T لأن الـExponential
+
+144
+00:10:49,990 --> 00:10:54,740
+مرفوعة كوفة سفرإن هنا الـ real part صفر الـ lambda
+
+145
+00:10:54,740 --> 00:10:58,480
+الـ real part صفر فبالتالي إذا إن هي فتواة زرعينها
+
+146
+00:10:58,480 --> 00:11:00,780
+تلاتة ال characteristic equation أرض ال V زرع
+
+147
+00:11:00,780 --> 00:11:06,020
+التسعة مباشرة جدورها زرع R واحد تلاتة I وR اتنين
+
+148
+00:11:06,020 --> 00:11:09,560
+ثالث تلاتة I فطول عوضنا C واحد في E أوس لامدة
+
+149
+00:11:09,560 --> 00:11:12,800
+لامدة عدي بصفر فE أوس لامدة T هيكون واحد فبدأ ال
+
+150
+00:11:12,800 --> 00:11:15,200
+cosine ميو بيو مقام تلاتة هيها
+
+151
+00:11:20,950 --> 00:11:25,710
+ناخد مثلًا مثلًا اي او دي دمعة ايه برضه حلول ايه
+
+152
+00:11:25,710 --> 00:11:27,970
+نشتغل فيها ال problem اللي بزيد انه بعد ما نجيب ال
+
+153
+00:11:27,970 --> 00:11:31,130
+generalization بنكون معادلة عشان نجيب اللي هم ال
+
+154
+00:11:31,130 --> 00:11:35,530
+constants C1 وC2 باستخدام الشروط اللي عندنا أمامنا
+
+155
+00:11:36,310 --> 00:11:40,830
+الـ Characteristic equation 16R³-8IR زي نية و خمسة
+
+156
+00:11:40,830 --> 00:11:44,510
+I ربعين سوى Zero بيوجدها بالاستخدام القانون العام،
+
+157
+00:11:44,510 --> 00:11:47,150
+كنتم تعرفين كيف تستخدموه، وطلع عنها الـ R واحد و R
+
+158
+00:11:47,150 --> 00:11:51,230
+اتنين هي الصورة هذه ربع زي تلاتة I و ربع نقص تلاتة
+
+159
+00:11:51,230 --> 00:11:57,310
+I، فالـ Lambda عندنا ربع و الـ Mu بتلاتة، فعوض
+
+160
+00:11:57,310 --> 00:12:01,470
+نشوف هنا، هذا هو الحل الـ General solution C1 في E
+
+161
+00:12:01,470 --> 00:12:04,990
+اصر ربع T كزا عن تلاتة T زي C2 في E اصر ربع T اصر
+
+162
+00:12:04,990 --> 00:12:11,640
+عن تلاتة Tهذه المثالين السابقة كانت هنا لإنجيب الـ
+
+163
+00:12:11,640 --> 00:12:12,220
+C1 وC2
+
+164
+00:12:16,580 --> 00:12:20,060
+هذه الشرط الأول Y صفر بيساوي ساعة باتنين و Y برايم
+
+165
+00:12:20,060 --> 00:12:23,720
+الصفر بيساوي واحد فانا عند الشرط الأول هعوض على
+
+166
+00:12:23,720 --> 00:12:26,200
+طول في الحل العام لكن عشان نستخدم الشرط التالي
+
+167
+00:12:26,200 --> 00:12:29,280
+لازم نجيب المشتقة الأولى ففي الأول بجيب المشتقة
+
+168
+00:12:29,280 --> 00:12:32,480
+الأولى و بعدين بنعوض بالشرطين و بنكوّن معادلتين في
+
+169
+00:12:32,480 --> 00:12:38,140
+مجهولينهم نحن فهنشوف كيف تصير أمورها هاي Y برايم
+
+170
+00:12:38,140 --> 00:12:44,050
+حسب ما كلكم بتعرفوا حصل درس ذاتينهذه بطبعا مشتركة
+
+171
+00:12:44,050 --> 00:12:47,630
+الأولى نستخدم الشرط الأول يسمى Y السفر يساوي سالة
+
+172
+00:12:47,630 --> 00:12:54,730
+بدنان يقص سفر بيساوي واحد فمسيح سي واحد فكوزين
+
+173
+00:12:54,730 --> 00:12:57,750
+السفر بواحد وهذا بيطلع كله بصفر لإن سان السفر
+
+174
+00:12:57,750 --> 00:12:58,430
+يساوي السفر
+
+175
+00:13:05,110 --> 00:13:09,650
+بعدما عوضنا في المعادلة يظهر C1 بـ-2 وهي برنامج
+
+176
+00:13:09,650 --> 00:13:13,090
+مهيان عوض بالصفر اللي فيه الـsin هيصفر يعني هذا
+
+177
+00:13:13,090 --> 00:13:15,870
+المجلد هيصير صفر وده فيه هيصير صفر يعني الـsin
+
+178
+00:13:15,870 --> 00:13:19,890
+هيصير صفر بصفر ده اللي هدولة بيظهر عنده ربع C1 زي
+
+179
+00:13:19,890 --> 00:13:23,330
+تلتة C2 والحين المعادلة بيظهر C2 سوة تلتة عتنين
+
+180
+00:13:23,330 --> 00:13:26,930
+بالتعود في المعادلة الأولى على قيمة C1 يعني بـ-2
+
+181
+00:13:27,200 --> 00:13:31,060
+فبطبعا C2 ثالثة على اتنين احنا حلنا ال problem هو
+
+182
+00:13:31,060 --> 00:13:34,380
+نفسه حل ال differential equation لكن هنستبدل C1
+
+183
+00:13:34,380 --> 00:13:39,720
+وC2 في المجلة فقط هيأخد عند Y سوى سالب اتنين في E
+
+184
+00:13:39,720 --> 00:13:44,200
+وصف ربع T ثلاثة على اتنين في E وصف ربع T ثلاثة على
+
+185
+00:13:44,200 --> 00:13:46,220
+اتنين في E وصف ربع T ثلاثة على اتنين في E وصف ربع
+
+186
+00:13:46,220 --> 00:13:50,740
+T الحاجة الوحيدة زي ده ان احنا حسبنا ال constant
+
+187
+00:13:52,920 --> 00:13:55,900
+الزيادة كانت على السؤالين السابقين أنه أنا عندي
+
+188
+00:13:55,900 --> 00:13:59,600
+شرطين فاستخدمنا شرطان في إيجاد الـConstant C1C2
+
+189
+00:13:59,600 --> 00:14:03,240
+عوضنا في الشرطين وكوّلنا معدلين وحللنا وطلعنا قيمة
+
+190
+00:14:03,240 --> 00:14:06,880
+C1 وطيئة قيمة C2 وعوضنا بعدين كلمة مرة ورجعنا
+
+191
+00:14:06,880 --> 00:14:11,500
+لحالة عام عوضنا عن قيمة C1C2 فهي هي ممكن حل
+
+192
+00:14:11,500 --> 00:14:16,180
+الانياش ال value problem ناخد
+
+193
+00:14:16,180 --> 00:14:22,740
+آخر مثال معناه هذا المثال عكسيعني طالب مني ويقول
+
+194
+00:14:22,740 --> 00:14:26,700
+زي ما شايفين example أربع بقول لي فعلا ده
+
+195
+00:14:26,700 --> 00:14:30,560
+differential equation whose general solution is
+
+196
+00:14:30,560 --> 00:14:33,460
+يعني أوجد المعادلة التفاضلية اللي حلها العام
+
+197
+00:14:33,460 --> 00:14:36,500
+ومدينيها لحل العام Y بيسوي C1 في U ثالث T كوزان
+
+198
+00:14:36,500 --> 00:14:40,800
+اتنين T إذا C2 في U ثالث T صين اتنين T احنا كنا في
+
+199
+00:14:40,800 --> 00:14:44,820
+الأمثلة السابقة نعطينا معادلة التفاضلية ونجيب حلها
+
+200
+00:14:44,820 --> 00:14:48,560
+لكنها بالعكس المعطلين هو الحلغير من المعادلة
+
+201
+00:14:48,560 --> 00:14:52,080
+الفضلية فهنا هنصير عكس الحلقة بقعة فالقوات اللي
+
+202
+00:14:52,080 --> 00:14:56,360
+كانت هنا كان في الأول اذا كنت معادلة فضلية اجيب ال
+
+203
+00:14:56,360 --> 00:14:58,900
+characteristic equation بعدين اجيب جدورها بعدين
+
+204
+00:14:58,900 --> 00:15:02,720
+اطلع الحلقة عامة طب انا الوقت وعارف الحلقة عامة
+
+205
+00:15:02,720 --> 00:15:06,320
+بقدر اطلع منه الجدوء عرفت الجدوء بقدر اكون
+
+206
+00:15:06,320 --> 00:15:10,120
+المعادلة عبارة لجدورها اتنين زي ما ال
+
+207
+00:15:10,120 --> 00:15:15,160
+characteristic equation فبقيت انا عندىRoot of the
+
+208
+00:15:15,160 --> 00:15:19,060
+characteristic equation R المعادلة واضح ان R1
+
+209
+00:15:19,060 --> 00:15:22,380
+بيساوي جزء من الحقيقه اللي هو الكوه هاد T والسالب
+
+210
+00:15:22,380 --> 00:15:26,840
+T معامل P سال واحد سال واحد زائد و ال cosine اتنين
+
+211
+00:15:26,840 --> 00:15:30,180
+T هنا اتنين R التاني نفس الشيء ال conjugate سال
+
+212
+00:15:30,180 --> 00:15:36,390
+اتنين Rهدهم R1 وR2 ناخد مجموحهم R1 زي دقر 2 بديني
+
+213
+00:15:36,390 --> 00:15:40,530
+سلبي 2 لأن 2I هيكبر مع 2I حصل ضربهم من جمب وبع
+
+214
+00:15:40,530 --> 00:15:44,570
+بديني مربع لو جزء الحقيقي زي مربع الجزء التخيله
+
+215
+00:15:44,570 --> 00:15:50,890
+سوية 5المعادلة زي ما درستها في العدادية لو أنا
+
+216
+00:15:50,890 --> 00:15:54,870
+عندي عددين حقيقية زي هدولة سلب اتنين وخمسة
+
+217
+00:15:54,870 --> 00:15:58,170
+فالمعادلة من درجة تانية جدورها سلب اتنين وخمسة
+
+218
+00:15:58,170 --> 00:16:01,750
+تحسب بطريقة ده هي R تربيعي ناقص مجموع الجدرين في R
+
+219
+00:16:01,750 --> 00:16:05,570
+زي حسب دربهم اذا نحن نتعرف على R تربيعي زي اتنين R
+
+220
+00:16:05,570 --> 00:16:09,490
+زي خمسة بسوء السفر اذا هذه هي ال characteristic
+
+221
+00:16:09,490 --> 00:16:12,190
+equation عنديطب انا مادام انا افتكر ال
+
+222
+00:16:12,190 --> 00:16:14,930
+characteristication بقدر اكوّن معادلة اردر بيها هي
+
+223
+00:16:14,930 --> 00:16:18,030
+بدأ يكون y double prime ده شو معاملة واحد و ال y
+
+224
+00:16:18,030 --> 00:16:21,090
+بدأت y prime و معاملة اتنين هي اتنين y prime خمسة
+
+225
+00:16:21,090 --> 00:16:25,990
+هكون مروح y و دي نسوش بالنسبة خمسة y فهذه معادلة
+
+226
+00:16:25,990 --> 00:16:29,430
+التفاظلية و درجة تانية هي y double prime زاد اتنين
+
+227
+00:16:29,430 --> 00:16:33,650
+y prime زاد خمسة y بيساوي الصفر فلو انت حليتها
+
+228
+00:16:33,650 --> 00:16:36,670
+هيطلع اللي عندك الحل عام هي الصورة هذه
+
+229
+00:16:40,430 --> 00:16:43,810
+هناك كتير في بيادة عدد من الأمثلة بحيث بكون أنهينا
+
+230
+00:16:43,810 --> 00:16:48,030
+سيكشن تلاتة أربع أشكركم لحسن سماعتكم وأتمنى
+
+231
+00:16:48,030 --> 00:16:50,490
+التوفيق للجميع السلام عليكم ورحمة الله وبركاته
+
diff --git a/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/awaEN1dZ_dE_postprocess.srt b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/awaEN1dZ_dE_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..b8aff37f2dfd075ae8577abc57ba066843d9f38e
--- /dev/null
+++ b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/awaEN1dZ_dE_postprocess.srt
@@ -0,0 +1,548 @@
+1
+00:00:01,310 --> 00:00:03,590
+بسم الله الرحمن الرحيم عزيزي الطلاب السلام عليكم
+
+2
+00:00:03,590 --> 00:00:06,990
+ورحمة الله وبركاته في هذا الفيديو ان شاء الله هو
+
+3
+00:00:06,990 --> 00:00:11,570
+بداية chapter 3 اللي هو بتكلم عن second order
+
+4
+00:00:11,570 --> 00:00:15,130
+differential equations المعادلة التفاضلية من درجة
+
+5
+00:00:15,130 --> 00:00:17,570
+الثانية انا في chapter 2 درست معادلة التفاضلية من
+
+6
+00:00:17,570 --> 00:00:21,350
+درجة الأولى كيف نحلها في نهاية chapter 2 درستنا
+
+7
+00:00:21,350 --> 00:00:25,000
+حلقةحلات خاصة المعادلة التفضلية من درجة تانية وكيف
+
+8
+00:00:25,000 --> 00:00:29,440
+نحولها لدرجة أولى ونحلها في هذا الفيديو سندرس كيف
+
+9
+00:00:29,440 --> 00:00:33,660
+نحل معادلة تفضلية من درجة تانية سورة عامة سنبدأ في
+
+10
+00:00:33,660 --> 00:00:36,340
+ال section تلاتة واحد تلاتة واحد تتكلم عن
+
+11
+00:00:36,340 --> 00:00:39,560
+homogeneous equations with constant coefficients
+
+12
+00:00:39,560 --> 00:00:44,900
+هذا ال section تتكلم عن معادلة تفضلية من درجة
+
+13
+00:00:44,900 --> 00:00:49,360
+تانية تكون homogeneous وال coefficients المعاملة
+
+14
+00:00:49,360 --> 00:00:52,500
+تانية ثوابتأول حاجة اللي طلعناها معادلة رقم واحد
+
+15
+00:00:52,500 --> 00:00:55,180
+هي الصورة العامة لمعادلة وفضلية من درجة الثانية
+
+16
+00:00:55,180 --> 00:01:00,300
+بيكون خطية U P of T Y W prime زي U P of T Y prime
+
+17
+00:01:00,300 --> 00:01:04,040
+زي R of T Y بيسوي G of T ممكن نجسم معاملة Y W
+
+18
+00:01:04,040 --> 00:01:07,780
+prime يسوى واحد من جسم عليها P of T لأن P of T لا
+
+19
+00:01:07,780 --> 00:01:11,800
+تسوى الصفر فالصورة بيصير الصورة المعادلة في رقم
+
+20
+00:01:11,800 --> 00:01:15,780
+اتنين صورة رقم واحد او اتنين هي معادلة وفضلية خطية
+
+21
+00:01:15,780 --> 00:01:22,190
+من درجة الثانيةطبعا إذا قدرنا نكتب معدلة تفضية على
+
+22
+00:01:22,190 --> 00:01:28,950
+شكل معدلة واحدة او اتنين هي معدلة غير خطية زي ما
+
+23
+00:01:28,950 --> 00:01:30,950
+درسنا ال initial value problem هي عبارة عن
+
+24
+00:01:30,950 --> 00:01:34,050
+differential equation اضافة لل initial conditions
+
+25
+00:01:34,050 --> 00:01:36,810
+هنا عشان عندي معدلة تفضية مدرسة تانية فالمفروض
+
+26
+00:01:36,810 --> 00:01:37,870
+يكون عندي شرطين
+
+27
+00:01:51,560 --> 00:01:53,980
+تلاتة مع المعادلة الفضية واحدة واتنين تسميها
+
+28
+00:01:53,980 --> 00:01:55,140
+initial value of problem
+
+29
+00:02:02,340 --> 00:02:05,420
+المعادلة الفضلية مدرسة تانية homogenous if the
+
+30
+00:02:05,420 --> 00:02:08,180
+term g of t in differential equation one or g
+
+31
+00:02:08,180 --> 00:02:11,280
+small t in differential equation two is zero
+
+32
+00:02:21,730 --> 00:02:24,750
+هذا كان من الصفر بصفر من ال homogenous و احنا في
+
+33
+00:02:24,750 --> 00:02:28,450
+chapter تلاتة هندرس في أول خمس دقايق عشان كيف نحل
+
+34
+00:02:28,450 --> 00:02:31,310
+ال homogenous و في آخر section هندرس حل ان ال
+
+35
+00:02:31,310 --> 00:02:35,910
+homogenous مراد يعني لو كان معاملة بي و دي و ار
+
+36
+00:02:35,910 --> 00:02:39,130
+على ال constants فهيكون معادة بالتفاضلية ال
+
+37
+00:02:39,130 --> 00:02:42,590
+homogenous بالصورة الرقم أربعة اتلاعطة معادة الرقم
+
+38
+00:02:42,590 --> 00:02:44,990
+أربعة معادة التفاضلية الرقم أربعة هي عبارة عن
+
+39
+00:02:44,990 --> 00:02:50,210
+second order linear homogenous وكوفة شخصية A وB وC
+
+40
+00:02:51,200 --> 00:02:55,580
+أحنا فهمنا كيف الحل معلّم هذه الصورة ففرضنا احنا
+
+41
+00:02:55,580 --> 00:03:02,200
+لدينا حل Y بيساوي يوسع R of D حيث R ثابتهي y prime
+
+42
+00:03:02,200 --> 00:03:06,340
+أرثر بيه في u أرثر بيه في U أرثر بيه في U أرثر بيه
+
+43
+00:03:06,340 --> 00:03:09,040
+في U أرثر بيه في U أرثر بيه في U أرثر بيه في U
+
+44
+00:03:09,040 --> 00:03:10,260
+أرثر بيه في U أرثر بيه في U أرثر بيه في U أرثر بيه
+
+45
+00:03:10,260 --> 00:03:10,820
+في U أرثر بيه في U أرثر بيه في U أرثر بيه في U
+
+46
+00:03:10,820 --> 00:03:13,860
+أرثر بيه في U أرثر بيه في U أرثر بيه في U أرثر بيه
+
+47
+00:03:13,860 --> 00:03:15,940
+في U أرثر بيه في U أرثر بيه في U أرثر بيه في U
+
+48
+00:03:15,940 --> 00:03:18,220
+أرثر بيه في U أرثر بيه في U أرثر بيه في U أرثر بيه
+
+49
+00:03:18,220 --> 00:03:29,660
+في U أرثر بيه في U أرثر بيه في U أرثر
+
+50
+00:03:29,660 --> 00:03:35,720
+بوبطلع قيمتين لـ R قيمتين لـ R فبدي نحلل وبنعوض
+
+51
+00:03:35,720 --> 00:03:39,640
+فيها في المعادلة بدي نحلل حسب قيم R وبطلع معنى الـ
+
+52
+00:03:39,640 --> 00:03:44,140
+General solution في الحالة هذه Y بيساوي C1 حيث Y1
+
+53
+00:03:44,140 --> 00:03:49,220
+زي C2 في Y2 يساوي C1 بيزار R1T زي C2 بيزار R2T حيث
+
+54
+00:03:49,220 --> 00:03:53,020
+R1 وR2 هم حلول الـ Characteristic Equation اللي هي
+
+55
+00:03:53,020 --> 00:03:58,170
+معادلة رقم 5عشان الحل معادلة فضلية بالصورة هذه
+
+56
+00:03:58,170 --> 00:04:02,350
+التي تتلعب على second order وlinear homogenous
+
+57
+00:04:02,350 --> 00:04:04,510
+وcircuitous ثوابت أول حاجة لازم نجيه بال
+
+58
+00:04:04,510 --> 00:04:07,650
+characteristic equation ع طول تلعب AR تنزل VR زي C
+
+59
+00:04:07,650 --> 00:04:12,990
+ونطلع للخطوة التانية جدورها R1 وR2 في حالة ان R1
+
+60
+00:04:12,990 --> 00:04:18,850
+ليس هو R2 فتطلع الحل عام يكون C1C1R1TZC2P2R2T طبعا
+
+61
+00:04:18,850 --> 00:04:22,650
+احنا ممكن يحلنا تكون متساويات او complex هذا
+
+62
+00:04:22,650 --> 00:04:26,590
+هناخدهم في الزكاشة ان شاء الله قادمةهذه الفيديو
+
+63
+00:04:26,590 --> 00:04:31,710
+هيحل الأسئلة على الـ second order و linear و هم ال
+
+64
+00:04:31,710 --> 00:04:35,570
+genius و ال coefficient و الكون عندى توابط اول
+
+65
+00:04:35,570 --> 00:04:38,490
+سؤال بسيط ناخد واحدة بالبرامج ناقص واحد بساوي زيرو
+
+66
+00:04:42,420 --> 00:04:45,780
+معامل y يكون prime 1 ومعامل y prime 0 ومعامل y
+
+67
+00:04:45,780 --> 00:04:49,320
+يكون نقص
+
+68
+00:04:49,320 --> 00:04:50,520
+1 يكون نقص 1 يكون نقص 1 يكون نقص 1 يكون نقص 1 يكون
+
+69
+00:04:50,520 --> 00:04:51,360
+نقص 1 يكون نقص 1 يكون نقص 1 يكون نقص 1 يكون نقص 1
+
+70
+00:04:51,360 --> 00:04:51,620
+يكون نقص 1 يكون نقص 1 يكون نقص 1 يكون نقص 1 يكون
+
+71
+00:04:51,620 --> 00:04:52,720
+نقص 1 يكون نقص 1 يكون نقص 1 يكون نقص 1 يكون نقص 1
+
+72
+00:04:52,720 --> 00:04:55,860
+يكون نقص 1 يكون نقص 1 يكون نقص 1 يكون نقص 1 يكون
+
+73
+00:04:55,860 --> 00:04:56,280
+نقص 1 يكون نقص 1 يكون نقص 1 يكون نقص 1 يكون نقص 1
+
+74
+00:04:56,280 --> 00:05:00,520
+يكون نقص 1 يكون نقص 1 يكون نقص 1 يكون نقص 1 يكون
+
+75
+00:05:00,520 --> 00:05:07,210
+نقص 1 يكون نناخد مثال تاني يحل ال problem y double
+
+76
+00:05:07,210 --> 00:05:10,290
+prime زائد خمسة y prime زائد ستة y بصوت zero y
+
+77
+00:05:10,290 --> 00:05:13,270
+zero بصوت اتنين y prime زائد تلاتة بصوت تلاتة ال
+
+78
+00:05:13,270 --> 00:05:16,110
+characteristic equation عندي R تربية زائد خمسة R
+
+79
+00:05:16,110 --> 00:05:19,690
+زائد ستة بصوت زيرو بالتحليق بطلع عند الجدرين R
+
+80
+00:05:19,690 --> 00:05:22,790
+واحد بصوت سالب تلاتة وR اتنين بصوت سالب اتنين فال
+
+81
+00:05:22,790 --> 00:05:26,030
+general solution عندي C واحد U سالب تلاتة T زائد C
+
+82
+00:05:26,030 --> 00:05:27,330
+اتنين U سالب اتنين T
+
+83
+00:05:33,850 --> 00:05:37,450
+عشان نعود بالشرطة الجاذبة نجيب المشتقة الأولى في
+
+84
+00:05:37,450 --> 00:05:40,550
+الأول هاي المشتقة الأولى نعود بالشرطة من الكو
+
+85
+00:05:40,550 --> 00:05:43,670
+المعدلين هاي الشرطة الأولى اللي بيعطي المعدل Z1 زي
+
+86
+00:05:43,670 --> 00:05:47,350
+Z2 بسوة 2الشرط التاني يديني ان سالب ثلاثة C واحد
+
+87
+00:05:47,350 --> 00:05:50,530
+نخس اتنين C اتنين بيساوي تلاتة نضرب الأولى في
+
+88
+00:05:50,530 --> 00:05:53,990
+اتنين بسرعة المعادلة ونجمع الأولى مع التاني ونحصل
+
+89
+00:05:53,990 --> 00:05:58,150
+على ان C واحد هساوي سالب سبعة ونعوض في الأولى هذه
+
+90
+00:05:58,150 --> 00:06:01,350
+المعادلة بيطلع C اتنين بيساوي تسعة الأقل نرجع لل
+
+91
+00:06:01,350 --> 00:06:03,790
+general solution هذا ونعوض عن C واحد الطيمة اللي
+
+92
+00:06:03,790 --> 00:06:06,910
+هي سالب سبعة وعن C اتنين بتسعة فبيديني حل ال
+
+93
+00:06:06,910 --> 00:06:11,160
+initial value problem زي ما انت شايفينهابالمثل
+
+94
+00:06:11,160 --> 00:06:14,320
+هناخد مثال find the solution of the initial
+
+95
+00:06:14,320 --> 00:06:20,980
+problem 4YW'-8Y'زات 3Y بصوت 0 وY0 بصوت 2 وY'زات 0
+
+96
+00:06:20,980 --> 00:06:23,960
+بصوت 3 على طول ال characteristic equation من جيبها
+
+97
+00:06:23,960 --> 00:06:29,040
+في الأول 4R تربيع نقص 8R زات 3Y بصوت 0 الحلول
+
+98
+00:06:29,040 --> 00:06:32,180
+بالستخدام الخدمة العامة أنا عند بيها سالب تمانية
+
+99
+00:06:32,180 --> 00:06:35,790
+فسيصبح سالب بيه سالب سالب تمانية بديه تمانيةزادة
+
+100
+00:06:35,790 --> 00:06:41,670
+ونقص جدر مربع b هو 64 نقص 4 في a اللي هو عندنا يوم
+
+101
+00:06:41,670 --> 00:06:45,690
+عام الارض عارف بيه 4 في c اللي هو 3 ونحسبه بطلع
+
+102
+00:06:45,690 --> 00:06:49,250
+عندك اللي هو 8 زادة ونقص 4 من اللي هو انا بدي نقل
+
+103
+00:06:49,250 --> 00:06:53,770
+جدرين ناخد الأول R1 في حالة الجميع بدينا 3 ع 2 وR2
+
+104
+00:06:53,770 --> 00:06:56,770
+في حالة الطريح بدينا نص اللي موجود ورا 3 ع 2 ونص
+
+105
+00:06:56,770 --> 00:07:01,650
+فبصير الحل عام سواء C1 في E أص 3 ع 2T زي C2 في E
+
+106
+00:07:01,650 --> 00:07:07,700
+أص نص Tعشان نجيب ال coefficient c1 c2 ونعوض
+
+107
+00:07:07,700 --> 00:07:11,120
+بالشرطين هدول اي شرطة و لا ده الواجهة زنده تظهر في
+
+108
+00:07:11,120 --> 00:07:16,380
+Y' Y' هتظهر مشتقاقها ونعوض بالشرطين ونكوّل معدلات
+
+109
+00:07:16,380 --> 00:07:20,940
+وواضح كيف الحسابات هتظهر معايا ان c1 ب2 و c2 ب0
+
+110
+00:07:20,940 --> 00:07:25,660
+برجع للحل عوض عن c2 ب0 بواحدة ال term و c1 عوض عنه
+
+111
+00:07:25,660 --> 00:07:29,740
+ب2 فتظهر الحل اندي لل initial value problem 2 في
+
+112
+00:07:29,740 --> 00:07:31,180
+استخدام 2D
+
+113
+00:07:34,830 --> 00:07:39,330
+ناخد آخر مثال هو سؤال من الكتاب سؤال 18 هل ماعطينا
+
+114
+00:07:39,330 --> 00:07:42,630
+هو الحل لبعض التفضليب يقول الـ Final differential
+
+115
+00:07:42,630 --> 00:07:46,130
+equation whose general solution is y بسهولة c1 فيه
+
+116
+00:07:46,130 --> 00:07:49,930
+سلب T على 2 سلسلة C2 فيه سلب 2Tهذه المعاملة
+
+117
+00:07:49,930 --> 00:07:54,370
+المفروضة ليها تحلها نذهب للخطوط العكسية لكي نجرب
+
+118
+00:07:54,370 --> 00:07:59,150
+الحل يجب أن نعرف R1 وR2 R1 هو ما عملت فيها وهو
+
+119
+00:07:59,150 --> 00:08:03,770
+سالب نص وR2 هو ما عملت فيها وهو سالب اتنين R1 هو
+
+120
+00:08:03,770 --> 00:08:07,290
+سالب نص وR2 هو سالب اتنين ال characteristic which
+
+121
+00:08:07,290 --> 00:08:11,390
+عندي هي R ناقص الجدر الأول هو سالب نص مضبوط في R
+
+122
+00:08:11,390 --> 00:08:15,840
+ناقص الجدر التاني سالب اتنينعندنا r زائد نصف و r
+
+123
+00:08:15,840 --> 00:08:18,840
+زائد اتنين نضربهم يصبح r تربيه زائد خمسة على اتنين
+
+124
+00:08:18,840 --> 00:08:21,220
+r زائد واحد تسوى زيرو هذه هي ال character equation
+
+125
+00:08:21,220 --> 00:08:25,520
+ممكن نتخلص من ال .. اللي هو النص يعني خمسة على
+
+126
+00:08:25,520 --> 00:08:27,840
+اتنين نضربه في اتنين يصبح اتنين r تربيه زائد خمسة
+
+127
+00:08:27,840 --> 00:08:30,960
+r زائد اتنين تسوى زيرو هذه هي character equation
+
+128
+00:08:30,960 --> 00:08:33,540
+ال differential equation بتاعنا هتكون هي اتنين r
+
+129
+00:08:33,540 --> 00:08:37,620
+تربيه هحنحط y دبل برامز دبل لأ زائد خمسة y برامز
+
+130
+00:08:37,620 --> 00:08:39,880
+زائد اتنين y تسوى زيرو هذه هي differential
+
+131
+00:08:39,880 --> 00:08:45,450
+equationطبعا كام ممكن نجيب هذه المعادلة؟ ر تلوية
+
+132
+00:08:45,450 --> 00:08:48,370
+زائد مجموع جدرين في R زائد حصر ضربهم
+
+133
+00:09:01,730 --> 00:09:08,550
+هذه الطريقة بسيطة لأن R ناقص الجدرين الأول وR ناقص
+
+134
+00:09:08,550 --> 00:09:09,290
+الجدرين الثانو
+
+135
+00:09:12,660 --> 00:09:17,400
+هكذا انهينا سيكشن تلاتة واحد وهو اول سيكشن في شرط
+
+136
+00:09:17,400 --> 00:09:20,020
+التلاتة في نهاية هذا الفيديو اعطيكم اللهم توفيق
+
+137
+00:09:20,020 --> 00:09:21,640
+والسلام عليكم ورحمة الله وبركاته
+
diff --git a/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/i8YOqBgAoos.srt b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/i8YOqBgAoos.srt
new file mode 100644
index 0000000000000000000000000000000000000000..464ee1091ca3816380f8db5bc9374b8af23683dd
--- /dev/null
+++ b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/i8YOqBgAoos.srt
@@ -0,0 +1,743 @@
+1
+00:00:03,530 --> 00:00:06,690
+بسم الله الرحمن الرحيم، عزيزي الطلاب السلام عليكم
+
+2
+00:00:06,690 --> 00:00:11,090
+ورحمة الله وبركاته في فيديو جديد مناقشة section 5-4
+
+3
+00:00:11,090 --> 00:00:13,550
+بعنوان irregular and regular bonds هذه الـ section
+
+4
+00:00:13,550 --> 00:00:18,310
+بسيط تتكلم عن فكرة واحدة وهو أن تصنف الـ singular
+
+5
+00:00:18,310 --> 00:00:22,510
+bonds لـ regular و irregular لو كان عندي differential
+
+6
+00:00:22,510 --> 00:00:26,230
+equation بالصورة هذه وعليها p(x) و y''  p(x)
+
+7
+00:00:26,230 --> 00:00:29,170
+و y'  r(x) و y  = 0  احنا عارفين أن
+
+8
+00:00:29,170 --> 00:00:33,800
+الـ singular bonds هم قياب x بتخلي p(x) = 0 لو 
+
+9
+00:00:33,800 --> 00:00:37,320
+كان أنا عندي x0 single points بمعنى أن p(x) ناقص
+
+10
+00:00:37,320 --> 00:00:41,260
+تساوى 0 فبقدر أصلا نفعل أن هذه regular إذا كانت من
+
+11
+00:00:41,260 --> 00:00:46,860
+الدوال في معادلة 2 هو x ناقص x0 في q(x) على p(x)
+
+12
+00:00:46,860 --> 00:00:50,140
+يعني بأخذ q(x) و بضرب في x ناقص x0
+
+13
+00:00:50,140 --> 00:00:54,140
+و بأخذ r(x) و بضرب في x ناقص x0 لكل
+
+14
+00:00:54,140 --> 00:00:57,380
+تربيع انتبهوا هنا فيه تربيع إذا كانت الـ functions هدول
+
+15
+00:00:57,380 --> 00:01:02,100
+بيعطوني analytic functions بمعنى أن كل واحد لها
+
+16
+00:01:02,100 --> 00:01:02,800
+converge
+
+17
+00:01:05,380 --> 00:01:11,020
+هذه هي تصنيف تجارب تجارب تجارب تجارب تجارب تجارب
+
+18
+00:01:11,020 --> 00:01:23,080
+تجارب تجارب تجارب
+
+19
+00:01:23,080 --> 00:01:27,320
+تجارب
+
+20
+00:01:27,900 --> 00:01:30,660
+فبدل ما أبحث على الـ Taylor expansion و أشوف كم هو
+
+21
+00:01:30,660 --> 00:01:36,160
+أو لا باخد النهاية للدالة باخد نهاية الدالة x-x0
+
+22
+00:01:36,160 --> 00:01:40,580
+q(x) على p(x) من x تقترب x0 و بشوف إذا كانت
+
+23
+00:01:40,580 --> 00:01:45,880
+finite بروح حسب النهاية الثانية هي نهاية x-x0
+
+24
+00:01:45,880 --> 00:01:49,880
+تربيع في r(x) على p(x) من x تقترب x0 إذا كانت
+
+25
+00:01:49,880 --> 00:01:53,460
+finite يعني إنتين يطلعوا finite فبقول عن x0
+
+26
+00:01:53,460 --> 00:01:56,300
+regular لكن لو كانت الأولى finite والثانية مش
+
+27
+00:01:56,300 --> 00:02:00,100
+finite بتكون irregular طبعاً لو أنا الأولى حسبتها
+
+28
+00:02:00,100 --> 00:02:03,140
+وطلعت مش finite لأ ده أحسب الثانية لأنه لازم
+
+29
+00:02:03,140 --> 00:02:07,640
+الثانية تكون finite عشان تكون regular طبعاً لو كانت
+
+30
+00:02:07,640 --> 00:02:11,000
+الـ X0 is not regular ففي الحالة بيسميها irregular
+
+31
+00:02:11,000 --> 00:02:14,220
+وهذا في الـ remark 2 if X0 is not a regular singular
+
+32
+00:02:14,220 --> 00:02:17,380
+point of the pressure equation 1 then it is called
+
+33
+00:02:17,380 --> 00:02:21,300
+an irregular singular point عشان نصنف اللي هو
+
+34
+00:02:21,300 --> 00:02:27,190
+singular points لازم في الأول نجيب p(x) و نساوي
+
+35
+00:02:27,190 --> 00:02:28,370
+بـ 0 و نجيب قيمة p(x) و نجيب قيمة p(x) و
+
+36
+00:02:28,370 --> 00:02:31,210
+نساوي بـ 0 و نجيب قيمة p(x) و نجيب قيمة p(x)
+
+37
+00:02:31,210 --> 00:02:32,030
+و نجيب قيمة p(x) و نجيب قيمة p(x) و نجيب قيمة
+
+38
+00:02:32,030 --> 00:02:34,830
+p(x) و نجيب قيمة p(x) و نجيب قيمة p(x) و
+
+39
+00:02:34,830 --> 00:02:36,210
+نجيب قيمة p(x) و نجيب قيمة p(x) و نجيب قيمة p
+
+40
+00:02:36,210 --> 00:02:37,630
+(x) و نجيب قيمة p(x) و نجيب قيمة p(x) و نجيب
+
+41
+00:02:37,630 --> 00:02:40,070
+قيمة p(x) و نجيب قيمة p(x) و نجيب قيمة p(x)
+
+42
+00:02:40,070 --> 00:02:42,410
+و نجيب قيمة p(x)  في بعض الأحيان لو كان مش كلهم
+
+43
+00:02:42,410 --> 00:02:45,670
+polynomials لازم أستفيد أن أضيف الـ Taylor
+
+44
+00:02:45,670 --> 00:02:50,350
+expansion لـ function هذا x ناقص x نقطة في 2x على
+
+45
+00:02:50,350 --> 00:02:54,170
+p(x) و x ناقص x نقطة في كل تربيع في r(x) على p(x)
+
+46
+00:02:54,170 --> 00:02:58,450
+في هذه اللحظة هناخد عدة أمثلة هي مثلًا found and
+
+47
+00:02:58,450 --> 00:03:01,310
+classified حتى ممكن لو جرتش found and classified
+
+48
+00:03:01,310 --> 00:03:04,830
+هو لازم أنا في الأول أجدها the singular points of
+
+49
+00:03:04,830 --> 00:03:07,190
+the differential equation 1-x² و 2xy' 
+
+50
+00:03:07,190 --> 00:03:11,450
++ (2-x)y' + α(α+1)y = 0 أول حاجة بتنجيب الـ single bonds p(x)
+
+51
+00:03:11,450 --> 00:03:16,710
+عندي 1-x² = 0 بتاع x يساوي 1 و -1
+
+52
+00:03:16,710 --> 00:03:20,070
+إذا أنا عندي فيه two single bonds 1 و -1
+
+53
+00:03:20,070 --> 00:03:23,150
+نبدأ في الأول 1  هلمت الأولى بتأخد limit x
+
+54
+00:03:23,150 --> 00:03:26,970
+ناقص 1 مضروب في معامل y' اللي هو -2x
+
+55
+00:03:26,970 --> 00:03:32,490
+مضروب على معامل y  وهذا هو
+
+56
+00:03:32,490 --> 00:03:35,550
+(2-x)  هذا هو 
+
+57
+00:03:38,660 --> 00:03:44,160
+طبعاً واضح ان في المقال بحلله وفي اختصارات ثانية
+
+58
+00:03:44,160 --> 00:03:48,540
+مع حاجة بروحها وفي شرط سالب تروح معاه فتطلع
+
+59
+00:03:48,540 --> 00:03:52,900
+النهاية الموجودة تساوي 1 فزي الـ limit لو كنت
+
+60
+00:03:52,900 --> 00:03:56,600
+أنا بروح حاسب نهاية ثانية لأن لو كانت الأولى مش
+
+61
+00:03:56,600 --> 00:03:59,380
+limit خلاص نكتفي بقول irregular لكن لما طلع الـ 
+
+62
+00:03:59,380 --> 00:04:02,240
+limit ماقدرش اقول irregular حالياً لازم أنا اروح
+
+63
+00:04:02,240 --> 00:04:05,300
+حاسب نهاية ثانية limit ل x ناقص 1 لكل تربيع يعني
+
+64
+00:04:05,300 --> 00:04:15,860
+أنا ناقص هنا في تربيع معامل y  مضروب على 1
+
+65
+00:04:15,860 --> 00:04:22,040
+ناقص x تربيع 1 ناقص x مع x ناقص 1 ونختصر 1
+
+66
+00:04:22,040 --> 00:04:31,100
+ناقص x مع x ناقص 1 ونختصر
+
+67
+00:04:31,100 --> 00:04:34,830
+1 ناقص x مع x ناقص 1 طلع من النهايتين finite
+
+68
+00:04:34,830 --> 00:04:37,550
+فما دام النهايتين finite إذا x تساوي 1 is a
+
+69
+00:04:37,550 --> 00:04:40,370
+regular singular point  ده عملية بسيطة ما هي على
+
+70
+00:04:40,370 --> 00:04:42,790
+حساب نهايات حتى ما تكون الـ operations كلهم
+
+71
+00:04:42,790 --> 00:04:46,030
+polynomial زي هذا المثال ناخد النقطة اللي هو
+
+72
+00:04:46,030 --> 00:04:48,650
+الـ singular point الثانية اللي هي x تساوي سالب 1
+
+73
+00:04:48,650 --> 00:04:52,850
+ناخد نفسها دي هي limit ل x ناقص -1 زائد 1
+
+74
+00:04:52,850 --> 00:04:56,170
+-2x على 1-x²  من x تقترب -1
+
+75
+00:04:56,170 --> 00:05:20,100
+وبنفس الطريقة النهاية تطلع معنى 1 ناخد مثال
+
+76
+00:05:20,100 --> 00:05:24,140
+ثاني
+
+77
+00:05:25,340 --> 00:05:28,140
+نفس الأشياء في قاعدة أنجلت الصفحة الـ singular
+
+78
+00:05:28,140 --> 00:05:30,900
+points of the differential equation 2x (x-2)
+
+79
+00:05:30,900 --> 00:05:34,140
+لكل تربيع y'' + 3xy' + (x-2)y = 0 من أقل لعزيزي أنا عندي polynomials
+
+80
+00:05:34,140 --> 00:05:37,480
+كلهم polynomials فممكن استخدام الطريقة عن طريق النهايات p(x)
+
+81
+00:05:37,480 --> 00:05:40,900
+= 2x(x-2) لكل تربيع بطلع منها x = 0 و x = 2
+
+82
+00:05:40,900 --> 00:05:44,920
+هدول هم الـ singular points 0 و 2
+
+83
+00:05:44,920 --> 00:05:47,880
+نأخد النقطة الأولى x تساوي 0 x ناقص
+
+84
+00:05:47,880 --> 00:05:55,400
+نهاية لما x تساوي 0 x ناقص نهاية لما x تساوي
+
+85
+00:05:55,400 --> 00:06:01,320
+0 x ناقص نهاية
+
+86
+00:06:01,320 --> 00:06:05,900
+لما x تساوي
+
+87
+00:06:05,900 --> 00:06:10,800
+0 x 
+
+88
+00:06:10,800 --> 00:06:15,000
+نقصف 
+
+89
+00:06:15,000 --> 00:06:19,850
+الحصة بتطلع النتيجة a وهي نهاية تساوي 0  ناخد
+
+90
+00:06:19,850 --> 00:06:23,370
+من الـ limit من x تقترب 0 ل x ناقص 0 لكل تربيع في
+
+91
+00:06:23,370 --> 00:06:27,530
+معامل y وهو x ناقص 2  هو معامل y مضروب على معامل y'
+
+92
+00:06:27,950 --> 00:06:33,310
+من x تقترب 0 يطلع  هنا بالصورة هذه
+
+93
+00:06:33,310 --> 00:06:37,350
+النهاية x ناقص 2 نختصرها مع الـ term بالصورة هذه أو
+
+94
+00:06:37,350 --> 00:06:40,630
+لما الـ x تقترب الـ 0 بيدينا 0 لأنها بيصير
+
+95
+00:06:40,630 --> 00:06:45,090
+0 في هذا المقدار 1 على 2 في -2 بيدينا -
+
+96
+00:06:45,090 --> 00:06:48,050
+1/4 في 0 بيدينا 0 فالنهاية finite في
+
+97
+00:06:48,050 --> 00:06:51,190
+الحالتين فإذا الـ x تساوي 0 هذه regular  و 
+
+98
+00:06:51,190 --> 00:06:54,890
+4 ناخد النقطة الـ singular الثانية لـ x تساوي 2
+
+99
+00:06:54,890 --> 00:06:59,890
+تلاحظوا نفس السلوك بس هنغير الـ term  الثانية الثانية 
+
+100
+00:06:59,890 --> 00:07:02,890
+ويصير الـ limit لما x تقترب x ناقص 2 في 3x على
+
+101
+00:07:02,890 --> 00:07:06,670
+2x (x-2) من x تقترب 2 هنا
+
+102
+00:07:06,670 --> 00:07:10,170
+في اختصارات x ناقص 2 بتروح مع الـ term اللي هنا
+
+103
+00:07:10,170 --> 00:07:13,390
+بظل بالصورة هذه لكن لحظة من x تقترب 2 هنا 0
+
+104
+00:07:13,390 --> 00:07:16,970
+المقام بظل نفسه 2 ناقص 2 0 ما بيجوز هذه
+
+105
+00:07:16,970 --> 00:07:20,590
+فالنهاية غير موجودة فالمدام 0 المقام مقدرش
+
+106
+00:07:20,590 --> 00:07:23,210
+أتخلص منه خد النهاية من x تقترب الـ 2 من اليمين
+
+107
+00:07:23,210 --> 00:07:25,770
+هيجيني ما له نهاية أما x تقترب الـ 2 من اليسار صعب دين
+
+108
+00:07:25,770 --> 00:07:28,410
+السالب من النهاية زي ما درستوا في تفاضل 1 فهذه
+
+109
+00:07:28,410 --> 00:07:32,860
+النهاية غير موجودة هل لا داعي نحسب الحالة الثانية
+
+110
+00:07:32,860 --> 00:07:37,040
+لأنه مدام الأولى مش finite إذا هذه النقطة هي
+
+111
+00:07:37,040 --> 00:07:40,760
+singular point لكن irregular فإذا أنا بستنتج أن x
+
+112
+00:07:40,760 --> 00:07:44,140
+تساوي 2 هذه is an irregular singular point ما فيش
+
+113
+00:07:44,140 --> 00:07:46,920
+داعي نحسب النهاية الثانية لأنه لازم تنتهي أن يكون
+
+114
+00:07:46,920 --> 00:07:49,700
+موجود شروط عشان تكون regular لكن الأولى مدامها
+
+115
+00:07:49,700 --> 00:07:51,440
+مش finite فتطلع irregular
+
+116
+00:07:54,220 --> 00:07:57,700
+نأخد مثال ثالث اطلعوا في هذا المثال طبعاً نفس
+
+117
+00:07:57,700 --> 00:08:00,140
+المطلوب find and specify the singular points of the
+
+118
+00:08:00,140 --> 00:08:01,840
+differential equation وهي الـ differential
+
+119
+00:08:01,840 --> 00:08:04,280
+equation يعني اطلعوا الـ differential equation هذه
+
+120
+00:08:04,280 --> 00:08:06,580
+المعطاة عندي هي مش polynomial إذا أنا ماقدرش
+
+121
+00:08:06,580 --> 00:08:11,320
+أستخدم النهاية على هذا التعريف أول حاجة أن يوجد
+
+122
+00:08:11,320 --> 00:08:14,020
+singular point x ناقص 4 لكل تربيع كما كنت بحسبها بالصفر
+
+123
+00:08:14,020 --> 00:08:18,680
+إذا x ناقص 4 لكل تربيع هي نقطة singular point واحدة هل
+
+124
+00:08:18,680 --> 00:08:25,250
+لازم نأخذ limit x ناقص 4 في معامل y مضروب في cos
+
+125
+00:08:25,250 --> 00:08:30,290
+على معامل y مضروب في cos على معامل y مضروب في cos على
+
+126
+00:08:30,290 --> 00:08:33,830
+معامل
+
+127
+00:08:33,830 --> 00:08:38,350
+y مضروب في cos على معامل y مضروب في cos على معامل y
+
+128
+00:08:38,350 --> 00:08:38,490
+مضروب في cos على معامل y مضروب في cos على معامل y مضروب
+
+129
+00:08:38,490 --> 00:08:38,590
+في cos على معامل y مضروب في cos على معامل y مضروب
+
+130
+00:08:38,590 --> 00:08:39,970
+في cos على معامل y مضروب في cos على معامل y مضروب
+
+131
+00:08:39,970 --> 00:08:47,390
+في cos على معامل y مضروب في cos على معامل y 
+
+132
+00:08:47,390 --> 00:08:53,490
+مضروب في cos هذا هو مفكوك  تقريباً تقريباً
+
+133
+00:08:53,490 --> 00:08:58,490
+تقريباً
+
+134
+00:08:58,490 --> 00:09:03,210
+تقريباً
+
+135
+00:09:03,210 --> 00:09:10,390
+تقريباً
+
+136
+00:09:10,390 --> 00:09:13,250
+تقريباً تقريباً تقريباً تقريباً تقريباً تقريباً تقريباً
+
+137
+00:09:13,250 --> 00:09:13,270
+تقريباً تقريباً تقريباً تقريباً تقريباً تقريباً تقريباً
+
+138
+00:09:13,270 --> 00:09:13,290
+تقريباً تقريباً تقريباً تقريباً تقريباً تقريباً تقريباً
+
+139
+00:09:13,290 --> 00:09:13,330
+تقريباً تقريباً تقريباً تقريباً تقريباً تقريباً تقريباً
+
+140
+00:09:13,330 --> 00:09:18,230
+تقريباً تقريباً تقريباً على x-4² لكل تربيع هذا
+
+141
+00:09:18,230 --> 00:09:21,650
+ينقلها الـ converter سريعًا فبالتالي أكون Analytic
+
+142
+00:09:21,650 --> 00:09:24,990
+هذا لا يكفي أن أقول عن الـ 4² الـ regularity لازم
+
+143
+00:09:24,990 --> 00:09:30,290
+أخذ الثانية هو x-4² لكل تربيع في صانع الـ X ثم على
+
+144
+00:09:30,290 --> 00:09:36,020
+x-4² لكل تربيع في صانع الـ X هذا معامل اللي هو Y هذا
+
+145
+00:09:36,020 --> 00:09:39,160
+النبعة مع اقتصارات بيطلع عديد و تعمل عديد من Sun X
+
+146
+00:09:39,160 --> 00:09:41,880
+ومش عارفين الـ Sun X زي ما ده سبق الكلاس بيه
+
+147
+00:09:41,880 --> 00:09:44,380
+لدينا دائمًا Taylor series و Conversion لأي نقطة
+
+148
+00:09:44,380 --> 00:09:46,780
+فبالتالي اللي Taylor series و Conversion باع اثنين
+
+149
+00:09:46,780 --> 00:09:50,360
+فهي كم نستنتج مدام هدول مقدرين لهم باستخدام 
+
+150
+00:09:50,360 --> 00:09:54,120
+التعريف اللي بدأنا فيه اللي هو المناقشة تمكن هدول
+
+151
+00:09:54,120 --> 00:09:55,980
+اللي لهم Taylor series و Conversion للاثنين
+
+152
+00:09:55,980 --> 00:09:58,800
+Analytic فبالتالي اللي هو باع اثنين يكون Regular
+
+153
+00:09:58,800 --> 00:10:05,820
+Singular Form  ناخد مثال آخر Find and Expand the
+
+154
+00:10:05,820 --> 00:10:07,760
+Singular Bonds of the differential equation X
+
+155
+00:10:07,760 --> 00:10:12,460
+تربيعة زي X نقص 2YW برهم زي X زي 1Y برهم زي 2Y
+
+156
+00:10:12,460 --> 00:10:20,080
+بساويه 0 باخد معامل YW برهم بساويه 100 بيكس بسيط
+
+157
+00:10:20,080 --> 00:10:23,740
+السكر التحليق بيطلع ال Singular Bonds عندهم الواحد
+
+158
+00:10:23,740 --> 00:10:27,080
+والسالب اثنين نبدأ نتحصل واحد ولأن ال polynomial
+
+159
+00:10:27,080 --> 00:10:30,560
+هنستخدم ال limit لما ال X تساوي واحد ال limit ل X
+
+160
+00:10:30,560 --> 00:10:35,020
+نقص واحد فمعامل Y' هي X الواحد على معامل Y double
+
+161
+00:10:35,020 --> 00:10:39,560
+prime التي هي ما يستغل الواحد نحل المقام وفيه
+
+162
+00:10:39,560 --> 00:10:43,520
+اختصارات بطعة نهاية و اثنين finite ناخد النهاية هي
+
+163
+00:10:43,520 --> 00:10:49,660
+مهمة تربيع وها المعامل Y وفيه حل المقام بطعة نهاية
+
+164
+00:10:49,660 --> 00:10:53,500
+Zero كل شغل بسيط ان هي بسيطة رسالة كتب ورسالة ألف
+
+165
+00:10:53,500 --> 00:10:56,460
+إذا النهايتين موجودة إذا X هو واحدة ساميها regular
+
+166
+00:10:57,650 --> 00:11:00,270
+نأخذ نقطة الـ singright الثانية سالب اثنين سنعيد نفس
+
+167
+00:11:00,270 --> 00:11:02,850
+النهايات بس نستبدل الواحد بالسالب اثنين بسرعة
+
+168
+00:11:02,850 --> 00:11:06,970
+النهاية الأولى limit ل X زي اثنين مظلومة في معامل
+
+169
+00:11:06,970 --> 00:11:13,030
+Y' على معامل Y' من ما عليها فX زي واحد مصمم على X
+
+170
+00:11:13,030 --> 00:11:17,570
+تبدل X نفس اثنين كمان X تأولى سالب اثنين وعند
+
+171
+00:11:17,570 --> 00:11:19,550
+اقتصار اقنع المقام واختصر
+
+172
+00:11:22,190 --> 00:11:25,150
+Limit xz1 علي x نقص واحد وx only سالب اثنين
+
+173
+00:11:25,150 --> 00:11:28,250
+باختصارات رجوعة كتلفة بيانات ادلائك ان اقول عنها
+
+174
+00:11:28,250 --> 00:11:30,890
+regular لازم احسب انها اثانية هذي x زي اثنين اللي
+
+175
+00:11:30,890 --> 00:11:34,330
+قلت رجيع معامل y هو اثنين علي معامل y ده بالدراسة
+
+176
+00:11:34,330 --> 00:11:38,290
+و بالتحليل
+
+177
+00:11:38,290 --> 00:11:40,770
+و الاختصارات بتاع نهاية السفر اذا كنتين بيانات
+
+178
+00:11:40,770 --> 00:11:44,110
+فبالتالي x يساوي سالب اثنين باسمها regular طبعًا
+
+179
+00:11:44,110 --> 00:11:47,800
+بالمثال الحالي اللي قبله بتالين زيه هو عملية بسيطة
+
+180
+00:11:47,800 --> 00:11:52,200
+وهذا ال section من فكرة واحدة هو كيف تصنيف ال
+
+181
+00:11:52,200 --> 00:11:55,820
+regular .. كيف تصنيف ال single plus the regular و
+
+182
+00:11:55,820 --> 00:12:00,020
+regular فقط و طبعًا في حالة ما يكون ال polynomous
+
+183
+00:12:00,020 --> 00:12:03,080
+بيستخدم النهايات ولكن لو كانت أحدهم مش polynomous
+
+184
+00:12:03,080 --> 00:12:05,480
+لازم يستخدمه هو ال terror series في نهاية هذا
+
+185
+00:12:05,480 --> 00:12:08,040
+الفيديو أشكركم حسن سماعكم و أتمنى أن تكونوا
+
+186
+00:12:08,040 --> 00:12:10,100
+مفيدين السلام عليكم و رحمة الله و بركاته 
diff --git a/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/i8YOqBgAoos_postprocess.srt b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/i8YOqBgAoos_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e997e091c33ef7fab8475f9a523e349ad781b542
--- /dev/null
+++ b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/i8YOqBgAoos_postprocess.srt
@@ -0,0 +1,744 @@
+1
+00:00:03,530 --> 00:00:06,690
+بسم الله الرحمن الرحيم، عزيزي الطلاب السلام عليكم
+
+2
+00:00:06,690 --> 00:00:11,090
+ورحمة الله وبركاته في فيديو جديد منقشة section 5-4
+
+3
+00:00:11,090 --> 00:00:13,550
+بعنوان irregular and regular bonds هذه الsection
+
+4
+00:00:13,550 --> 00:00:18,310
+بسيط تتكلم عن فكرة واحدة وهو ان صنف ال singular
+
+5
+00:00:18,310 --> 00:00:22,510
+bonds لرجل وirregular لو كان عندي differential
+
+6
+00:00:22,510 --> 00:00:26,230
+equation بالصورة هذه وعليها بيو بإكس وي برامزة بيو
+
+7
+00:00:26,230 --> 00:00:29,170
+بإكس وي برامزة ر بإكس وي سواء زيرو احنا عارفين ان
+
+8
+00:00:29,170 --> 00:00:33,800
+ال singular bonds هم قياب X بتخلي بيو بإكس بزيرولو
+
+9
+00:00:33,800 --> 00:00:37,320
+كان انا عندي x0 single points بمعنى ان بيكس نقص
+
+10
+00:00:37,320 --> 00:00:41,260
+تسوي زيرو فبقدر اصلا نفعل انها regular اذا كلمة من
+
+11
+00:00:41,260 --> 00:00:46,860
+الدوال في معادلة 2 هو x نقص x0 في q of x على b of
+
+12
+00:00:46,860 --> 00:00:50,140
+x يعني باخد q of x و بسمع بيكس و بضغط في x نقص x0
+
+13
+00:00:50,140 --> 00:00:54,140
+و باخد r of x و بسمع بيكس و بضغط في x نقص x0 لكل
+
+14
+00:00:54,140 --> 00:00:57,380
+تربيع انتبهوا هنا فيه تربيع اذا كانت الين هدول
+
+15
+00:00:57,380 --> 00:01:02,100
+بيعطوني analytic functions بمعنى ان كل واحد لها
+
+16
+00:01:02,100 --> 00:01:02,800
+converge
+
+17
+00:01:05,380 --> 00:01:11,020
+هذه هي تصنيف تجارب تجارب تجارب تجارب تجارب تجارب
+
+18
+00:01:11,020 --> 00:01:23,080
+تجارب تجارب تجارب
+
+19
+00:01:23,080 --> 00:01:27,320
+تجارب
+
+20
+00:01:27,900 --> 00:01:30,660
+فبدل ما أبحث على الـ Taylor expansion و أشوف كم هو
+
+21
+00:01:30,660 --> 00:01:36,160
+أو لا باخد النهاية للدوالة باخد نهاية الدالة x-x0
+
+22
+00:01:36,160 --> 00:01:40,580
+Pq of x على P of x من x تقوى x0 و بشوف إذا كانت
+
+23
+00:01:40,580 --> 00:01:45,880
+finite بروح حسب النهاية التانية هي نهاية x-x0
+
+24
+00:01:45,880 --> 00:01:49,880
+تربيع في R of x على P of x من x تقوى x0 إذا كانت
+
+25
+00:01:49,880 --> 00:01:53,460
+finite يعني إنتين يطلعوا finite فبقول عن x0
+
+26
+00:01:53,460 --> 00:01:56,300
+regularلكن لو كانت الأولى finite والتانية مش
+
+27
+00:01:56,300 --> 00:02:00,100
+finite بتكون irregular طبعا لو أنا الأولى حسبتها
+
+28
+00:02:00,100 --> 00:02:03,140
+وطلعت مش finite لأ ده أحسب لتانية لأنه لازم
+
+29
+00:02:03,140 --> 00:02:07,640
+التانية تكون finite عشان تكون regular طبعا لو كانت
+
+30
+00:02:07,640 --> 00:02:11,000
+ال X0 is not regular ففي الحالة بيسميها irregular
+
+31
+00:02:11,000 --> 00:02:14,220
+وهذا في الريمارك 2 if X0 is not a regular singular
+
+32
+00:02:14,220 --> 00:02:17,380
+point of the pressure equation 1 then it is called
+
+33
+00:02:17,380 --> 00:02:21,300
+an irregular singular point عشان نصنف اللي هو
+
+34
+00:02:21,300 --> 00:02:27,190
+singular pointsلازم في الأول نجيب P of X و نسوي
+
+35
+00:02:27,190 --> 00:02:28,370
+بالزير و نجيب قيمة P of X و نجيب قيمة P of X و
+
+36
+00:02:28,370 --> 00:02:31,210
+نسوي بالزير و نجيب قيمة P of X و نجيب قيمة P of X
+
+37
+00:02:31,210 --> 00:02:32,030
+و نجيب قيمة P of X و نجيب قيمة P of X و نجيب قيمة
+
+38
+00:02:32,030 --> 00:02:34,830
+P of X و نجيب قيمة P of X و نجيب قيمة P of X و
+
+39
+00:02:34,830 --> 00:02:36,210
+نجيب قيمة P of X و نجيب قيمة P of X و نجيب قيمة P
+
+40
+00:02:36,210 --> 00:02:37,630
+of X و نجيب قيمة P of X و نجيب قيمة P of X و نجيب
+
+41
+00:02:37,630 --> 00:02:40,070
+قيمة P of X و نجيب قيمة P of X و نجيب قيمة P of X
+
+42
+00:02:40,070 --> 00:02:42,410
+و نجيب قيمة P ofبعض الأحيان لو كان مش كلهم
+
+43
+00:02:42,410 --> 00:02:45,670
+كورينوميلز لازم أستفيد ان اضيف الـ Taylor
+
+44
+00:02:45,670 --> 00:02:50,350
+expansion الـ function هذا X نقص X نقطة في 2X على
+
+45
+00:02:50,350 --> 00:02:54,170
+BX و X نقص X نقطة في كل تربيع في R of X على BX
+
+46
+00:02:54,170 --> 00:02:58,450
+هالوقت هناخد عدة أمتلة هي مثلًا found and
+
+47
+00:02:58,450 --> 00:03:01,310
+classified حتى ممكن لو جرتش found and classified
+
+48
+00:03:01,310 --> 00:03:04,830
+هو لازم انا في الأول أجدها the singular points of
+
+49
+00:03:04,830 --> 00:03:07,190
+the differential equation واحد نقص التربيع واثقة
+
+50
+00:03:07,190 --> 00:03:11,450
+بالبعض نقص2xy prime زي Alpha في Alpha زي واحد Y
+
+51
+00:03:11,450 --> 00:03:16,710
+سوى Zero أول حاجة بتنجيب ال single bonds P في X
+
+52
+00:03:16,710 --> 00:03:20,070
+عندي واحد نقص يساوي بزيرو بتاع X يساوي واحد و سالب
+
+53
+00:03:20,070 --> 00:03:23,150
+واحد اذا انا عندي فيه two single bonds واحد و سالب
+
+54
+00:03:23,150 --> 00:03:26,970
+واحد نبدأ في الأول واحد هلمت الأولى بتاخد limit X
+
+55
+00:03:26,970 --> 00:03:32,490
+نقص واحد مضروب على فيه معامل Y prime اللي هو سالب
+
+56
+00:03:32,490 --> 00:03:35,550
+اتنين X مكسوب على معامل YW prime هذا هو
+
+57
+00:03:38,660 --> 00:03:44,160
+طبعاً واضح ان في المقال بحلله وفي اختصارات تانية
+
+58
+00:03:44,160 --> 00:03:48,540
+مع حاجة بروحها وفي شرط سالب تروح معاه فتطلع
+
+59
+00:03:48,540 --> 00:03:52,900
+النهاية الموجودة تساوي واحد فزي ال final لو كنت
+
+60
+00:03:52,900 --> 00:03:56,600
+انا بروح حاسب نهاية تانية لأن لو كانت الأولى مش
+
+61
+00:03:56,600 --> 00:03:59,380
+final خلاص نكتفي بقول irregular لكن لما طلع ال
+
+62
+00:03:59,380 --> 00:04:02,240
+final ماقدرش اقول irregular حاليا لازم انا اروح
+
+63
+00:04:02,240 --> 00:04:05,300
+حاسب نهاية تانية limit ل X ناقص واحد لكل Terb يعني
+
+64
+00:04:05,300 --> 00:04:15,860
+انا ناقص هنا في تربيرمعامل Y مجسم على واحد
+
+65
+00:04:15,860 --> 00:04:22,040
+نقص X تربيع واحد نقص X مع X نقص واحد ونختصر واحد
+
+66
+00:04:22,040 --> 00:04:31,100
+نقص X مع X نقص واحد ونختصر
+
+67
+00:04:31,100 --> 00:04:34,830
+واحد نقص X مع X نقص واحدطلع من النهايتين finite
+
+68
+00:04:34,830 --> 00:04:37,550
+فما دام النهايتين finite إذا x تساوي واحد is a
+
+69
+00:04:37,550 --> 00:04:40,370
+regular center of points ده عملية بسيطة ما هي على
+
+70
+00:04:40,370 --> 00:04:42,790
+حساب نهايات حتى ما تكون ال operations كلهم
+
+71
+00:04:42,790 --> 00:04:46,030
+polynomial زي هذا المثال ناخد النقطة اللي هو
+
+72
+00:04:46,030 --> 00:04:48,650
+الcenter of points التاني اللي هي x تساوي سلب واحد
+
+73
+00:04:48,650 --> 00:04:52,850
+ناخد نفسها دي هي limit ل x ناقص ناقص واحد زاد واحد
+
+74
+00:04:52,850 --> 00:04:56,170
+سلب 2x على واحد ناقص أكتر من x تقول أسلب واحد
+
+75
+00:04:56,170 --> 00:05:20,100
+وبنفسي بالنهاية تطلع معنى واحدناخد مثال
+
+76
+00:05:20,100 --> 00:05:24,140
+ثاني
+
+77
+00:05:25,340 --> 00:05:28,140
+نفس الأشياء في قاعد أنجلت الصفحة الـ Singular
+
+78
+00:05:28,140 --> 00:05:30,900
+Bonds of the differential equation 2x في x نقص 2
+
+79
+00:05:30,900 --> 00:05:34,140
+لكل تربيع y double prime زي ال 3xy prime زي ال x
+
+80
+00:05:34,140 --> 00:05:37,480
+نقص 2y بسوة 0 من أقل لعزوزي أنا عند بولينوميس
+
+81
+00:05:37,480 --> 00:05:40,900
+كليوكميشن فممكن استخدام اللغة عطري انهيات P of x
+
+82
+00:05:40,900 --> 00:05:44,920
+عادي بسوة 2x في x نقص 2 لكل تربيع بطلع منها السفر
+
+83
+00:05:44,920 --> 00:05:47,880
+x بسوة السفر وx بسوة 2 هدول هم ال singular bonds
+
+84
+00:05:47,880 --> 00:05:55,400
+السفر و2نأخد النقطة الأولى X تسوية زيرو X نقص
+
+85
+00:05:55,400 --> 00:06:01,320
+نهاية لما X تسوية زيرو X نقص نهاية لما X تسوية
+
+86
+00:06:01,320 --> 00:06:05,900
+زيرو X نقص نهاية
+
+87
+00:06:05,900 --> 00:06:10,800
+لما X تسوية
+
+88
+00:06:10,800 --> 00:06:15,000
+زيرو X
+
+89
+00:06:15,000 --> 00:06:19,850
+نقصفالحصة بتطلع النتيجة A وهي نهاية تسوية 0 ناخد
+
+90
+00:06:19,850 --> 00:06:23,370
+من ال limit من X تقولها Z ل X نقص Zero كل تربيع في
+
+91
+00:06:23,370 --> 00:06:27,530
+معامل Y وهو X نقص 2 هي معامل Y مكسوب على معامل YW'
+
+92
+00:06:27,950 --> 00:06:33,310
+من X تقولها Zero اطلع زهانة هنا بالصورة هذه
+
+93
+00:06:33,310 --> 00:06:37,350
+النهاية X نقص 2 نختصرها مع الكلمة بالصورة هذهأو
+
+94
+00:06:37,350 --> 00:06:40,630
+لما الـ X تقول الـ Zero بيدينا Zero لأننا بيصير
+
+95
+00:06:40,630 --> 00:06:45,090
+Zero في هذا المقدار 1 على 2 في سالب 2 بيدينا سالب
+
+96
+00:06:45,090 --> 00:06:48,050
+ربع في Zero بيدينا Zero فالنهاية فاينات في
+
+97
+00:06:48,050 --> 00:06:51,190
+الحالتين فإذا ال X تسوى Zero هذا Regular سنة و
+
+98
+00:06:51,190 --> 00:06:54,890
+أربعة ناخد النقطة السينجرا التانية ل X تسوى 2
+
+99
+00:06:54,890 --> 00:06:59,890
+تلاحظوا نفس السلوك بس هنغيّر السفر بالتانية لتانية
+
+100
+00:06:59,890 --> 00:07:02,890
+و يصير ال limit لما X تقل X نقص اتنين لتلاتة X على
+
+101
+00:07:02,890 --> 00:07:06,670
+اتنين X X نقص اتنين اللي كنت رجل X تقول اتنينهنا
+
+102
+00:07:06,670 --> 00:07:10,170
+في اختصارات X نقص اتنين بتروح مع الترجمة اللي هان
+
+103
+00:07:10,170 --> 00:07:13,390
+بظل بالصورة هذه لكن لحظة من X تقول اتنين هن صفر
+
+104
+00:07:13,390 --> 00:07:16,970
+المقام بظل نفسه اتنين نقص اتنين صفر ما بيجوز هذه
+
+105
+00:07:16,970 --> 00:07:20,590
+فالنهاية مازالة موجودة فالمدام صفر المقام مقدرش
+
+106
+00:07:20,590 --> 00:07:23,210
+اتخلص منه خد النهاية من X تقول الاتنين من اليمين
+
+107
+00:07:23,210 --> 00:07:25,770
+هجيني ماله نهاية اما X تقول اتنين من اليه صعب دين
+
+108
+00:07:25,770 --> 00:07:28,410
+السلب من النهاية زي ما درستوا في تفاضل ألف فهذه
+
+109
+00:07:28,410 --> 00:07:32,860
+النهاية غير موجودةهل لا داعي نحسب الحالة التانية
+
+110
+00:07:32,860 --> 00:07:37,040
+لأنه مدام الأولى مش finite إذا هذه النقطة هي
+
+111
+00:07:37,040 --> 00:07:40,760
+singular point لكن irregular فإذا أنا بستنتج ان X
+
+112
+00:07:40,760 --> 00:07:44,140
+تساوي 2 فهذه is an irregular singular point مافيش
+
+113
+00:07:44,140 --> 00:07:46,920
+داعي نحسب النهاية التانية لأنه لازم تنتهي أن يكون
+
+114
+00:07:46,920 --> 00:07:49,700
+موجود قوانين عشان تكون regular لكن الأولى مدامها
+
+115
+00:07:49,700 --> 00:07:51,440
+مش finite فتطلع irregular
+
+116
+00:07:54,220 --> 00:07:57,700
+نأخد مثال ثالث اطلعوا في هذا المثال طبعا نفس
+
+117
+00:07:57,700 --> 00:08:00,140
+المطمور find and specify the single advance of the
+
+118
+00:08:00,140 --> 00:08:01,840
+differential equation وهي الـ differential
+
+119
+00:08:01,840 --> 00:08:04,280
+equation يعني اطلعوا الـ differential equation هذه
+
+120
+00:08:04,280 --> 00:08:06,580
+المعاملة عندي هي مش polynomial اذا أنا ماقدرش
+
+121
+00:08:06,580 --> 00:08:11,320
+استخدام النهاية على هذا الكعريف اول حاجة ان يوجد
+
+122
+00:08:11,320 --> 00:08:14,020
+single points X نقص بقعة 2 كما كنت بحسبها بالصفر
+
+123
+00:08:14,020 --> 00:08:18,680
+اذا X نقص بقعة 2 هي نقطة single point واحدة هل
+
+124
+00:08:18,680 --> 00:08:25,250
+لازم ناخديكون X ناقص بقعة 2 في معامل Y بقعة كوزين
+
+125
+00:08:25,250 --> 00:08:30,290
+على معامل Y بقعة كوزين على معامل Y بقعة كوزين على
+
+126
+00:08:30,290 --> 00:08:33,830
+معامل
+
+127
+00:08:33,830 --> 00:08:38,350
+Y بقعة كوزين على معامل Y بقعة كوزين على معامل Y
+
+128
+00:08:38,350 --> 00:08:38,490
+بقعة كوزين على معامل Y بقعة كوزين على معامل Y بقعة
+
+129
+00:08:38,490 --> 00:08:38,590
+كوزين على معامل Y بقعة كوزين على معامل Y بقعة
+
+130
+00:08:38,590 --> 00:08:39,970
+كوزين على معامل Y بقعة كوزين على معامل Y بقعة
+
+131
+00:08:39,970 --> 00:08:47,390
+كوزين على معامل Y بقعة كوزين على معامل Y
+
+132
+00:08:47,390 --> 00:08:53,490
+بقعة كهذا هو مفكوك تقريبا تقريبا
+
+133
+00:08:53,490 --> 00:08:58,490
+تقريبا
+
+134
+00:08:58,490 --> 00:09:03,210
+تقريبا
+
+135
+00:09:03,210 --> 00:09:10,390
+تقريبا
+
+136
+00:09:10,390 --> 00:09:13,250
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+137
+00:09:13,250 --> 00:09:13,270
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+138
+00:09:13,270 --> 00:09:13,290
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+139
+00:09:13,290 --> 00:09:13,330
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+140
+00:09:13,330 --> 00:09:18,230
+تقريبا تقريبا تقريبا تعلى x-4² لكل تربيع هذا
+
+141
+00:09:18,230 --> 00:09:21,650
+ينقلها الـ converter سريع فبالتالي أكون Analytic
+
+142
+00:09:21,650 --> 00:09:24,990
+هذا لا يكفي أن أقول عن ال 4² ال regularity لازم
+
+143
+00:09:24,990 --> 00:09:30,290
+أخد التانية هو x-4² لكل تربيع في صانع ال X ثم على
+
+144
+00:09:30,290 --> 00:09:36,020
+x-4² لكل تربيع في صانع ال X هذا معامل اللي هو Yهذا
+
+145
+00:09:36,020 --> 00:09:39,160
+النبع مع اقتصارات بيطلع عديد و تعمل عديد من Sun X
+
+146
+00:09:39,160 --> 00:09:41,880
+ومش عارفين الـ Sun X زي ما ده سبق الكلاص بيه
+
+147
+00:09:41,880 --> 00:09:44,380
+لدائما Taylor series و Conversion لأي نقطة
+
+148
+00:09:44,380 --> 00:09:46,780
+فبالتالي اللي Taylor series و Conversion باع اتنين
+
+149
+00:09:46,780 --> 00:09:50,360
+فهي كم نستنتج مدام هدول مقدرين لهم باستخدام
+
+150
+00:09:50,360 --> 00:09:54,120
+التعريف اللي بدأنا فيه اللي هو المناقشة تمكن هدول
+
+151
+00:09:54,120 --> 00:09:55,980
+اللي لهم Taylor series و Conversion لانتين
+
+152
+00:09:55,980 --> 00:09:58,800
+Analytic فبالتالي اللي هو باع اتنين يكون Regular
+
+153
+00:09:58,800 --> 00:10:05,820
+Singular Form ناخد مثال أخرFind and Expand the
+
+154
+00:10:05,820 --> 00:10:07,760
+Singular Bonds of the differential equation X
+
+155
+00:10:07,760 --> 00:10:12,460
+تربيه زي X نقص 2YW برهم زي X زي 1Y برهم زي 2Y
+
+156
+00:10:12,460 --> 00:10:20,080
+بسوية 0 باخد معامر YW برهم بسوية 100 بيكس بسيط
+
+157
+00:10:20,080 --> 00:10:23,740
+السكر التحليق بيطلع ال Singular Bonds عندهم الواحد
+
+158
+00:10:23,740 --> 00:10:27,080
+والسالد اتنين نبدأ نتحصل واحد ولأن ال polynomial
+
+159
+00:10:27,080 --> 00:10:30,560
+هنستخدم ال limit لما ال X تسوي واحد ال limit ل X
+
+160
+00:10:30,560 --> 00:10:35,020
+نقص واحدفالمعامل Y' هي X الواحد على معامل Y double
+
+161
+00:10:35,020 --> 00:10:39,560
+prime التي هي ما يستغل الواحد نحل المقام وفيه
+
+162
+00:10:39,560 --> 00:10:43,520
+اختصارات بطعة نهاية و اتنين finite ناخد النهاية هي
+
+163
+00:10:43,520 --> 00:10:49,660
+مهمة تربيع وها المعامل Y وفيه حل المقام بطعة نهاية
+
+164
+00:10:49,660 --> 00:10:53,500
+Zero كل شغل بسيط ان هي بسيطة رسالة كتب ورسالة ألف
+
+165
+00:10:53,500 --> 00:10:56,460
+إذا النهايتين موجودة إذا X هو واحدة ساميها regular
+
+166
+00:10:57,650 --> 00:11:00,270
+نأخد نقطة الـ singright تانية سلب اتنين سنعيد نفس
+
+167
+00:11:00,270 --> 00:11:02,850
+النهايات بس نستبدل الواحد بالسلب اتنين بسرعة
+
+168
+00:11:02,850 --> 00:11:06,970
+النهاية الأولى limit ل X زي اتنين مظلومة في معامل
+
+169
+00:11:06,970 --> 00:11:13,030
+Y' على معامل Y' من ما عليها فX زي واحد مصمم على X
+
+170
+00:11:13,030 --> 00:11:17,570
+تبدل X نفس اتنين كمان X تأولى سلب اتنين وعند
+
+171
+00:11:17,570 --> 00:11:19,550
+اقتصار اقنع المقام واختصر
+
+172
+00:11:22,190 --> 00:11:25,150
+Limit xz1 علي x نقص واحد وx only سالب اتنين
+
+173
+00:11:25,150 --> 00:11:28,250
+باختصارات رجوعة كتلفة بيانات ادلائك ان اقول عنها
+
+174
+00:11:28,250 --> 00:11:30,890
+regular لازم احسب انها اتانية هذي x زي اتنين اللي
+
+175
+00:11:30,890 --> 00:11:34,330
+قلت رجيع معامل y هو اتنين علي معامل y ده بالدراسة
+
+176
+00:11:34,330 --> 00:11:38,290
+و بالتحليل
+
+177
+00:11:38,290 --> 00:11:40,770
+و الاختصارات بتاع نهاية السفر اذا كنتين بيانات
+
+178
+00:11:40,770 --> 00:11:44,110
+فبالتالي x يساوي سالب اتنين باسمها regular طبعا
+
+179
+00:11:44,110 --> 00:11:47,800
+بالمثال الحالي اللي قبله بتالين زيههو عملية بسيطة
+
+180
+00:11:47,800 --> 00:11:52,200
+وهذا ال section من فكرة واحدة هو كيف تصنيف ال
+
+181
+00:11:52,200 --> 00:11:55,820
+regular .. كيف تصنيف ال single plus the regular و
+
+182
+00:11:55,820 --> 00:12:00,020
+regular فقط و طبعا في حالة ما يكون ال polynomous
+
+183
+00:12:00,020 --> 00:12:03,080
+بيستخدم النهايات ولكن لو كانت أحدهم مش polynomous
+
+184
+00:12:03,080 --> 00:12:05,480
+لازم يستخدمه هو ال terror series في نهاية هذا
+
+185
+00:12:05,480 --> 00:12:08,040
+الفيديو أشكركم حسنا سماعكم و أتمنى أن تكونوا
+
+186
+00:12:08,040 --> 00:12:10,100
+مفيدين السلام عليكم و رحمة الله و بركاته
+
diff --git a/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/jArXppRduDY.srt b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/jArXppRduDY.srt
new file mode 100644
index 0000000000000000000000000000000000000000..086a68ebde5bdb44850ff056e56511aec15b0249
--- /dev/null
+++ b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/jArXppRduDY.srt
@@ -0,0 +1,1371 @@
+1
+00:00:01,550 --> 00:00:05,010
+بسم الله الرحمن الرحيم عزيزي الطلاب السلام عليكم
+
+2
+00:00:05,010 --> 00:00:08,730
+ورحمة الله وبركاته في محاضرة جديدة من محاضرات مصفوفات
+
+3
+00:00:08,730 --> 00:00:12,770
+معادلات تفاضلية عادية في هذه المحاضرة سندرس إن شاء
+
+4
+00:00:12,770 --> 00:00:18,770
+الله section 3-6 section 
+
+5
+00:00:18,770 --> 00:00:24,870
+3-6 بعنوان non-homogeneous equations method of
+
+6
+00:00:24,870 --> 00:00:29,870
+undetermined coefficients في هذا الـ section 3-6 هو
+
+7
+00:00:29,870 --> 00:00:33,730
+الـ section الذي يليه 3-7 سندرس حلول المعادلة
+
+8
+00:00:33,730 --> 00:00:39,230
+التفاضلية الغير متجانسة سنأخذ طريقتين في section 3
+
+9
+00:00:39,230 --> 00:00:42,190
+-6 سندرس طريقة method of undetermined
+
+10
+00:00:42,190 --> 00:00:47,010
+coefficients بمعنى طريقة المعاملات الغير محددة
+
+11
+00:00:47,010 --> 00:00:51,690
+أهداف المحاضرة 1 يتعرف الطالب على المعادلة
+
+12
+00:00:51,690 --> 00:00:56,710
+التفاضلية الغير متجانسة 2 يذكر الطالب شروط استخدام
+
+13
+00:00:56,710 --> 00:01:00,670
+طريقة undetermined coefficients 3 يستخدم
+
+14
+00:01:00,670 --> 00:01:03,350
+الطالب طريقة Undetermined coefficients لإيجاد
+
+15
+00:01:03,350 --> 00:01:07,870
+الحل الخاص للمعادلة التفاضلية الغير متجانسة 4
+
+16
+00:01:07,870 --> 00:01:15,250
+يحل الطالب مسائل متنوعة على الموضوع إننا
+
+17
+00:01:15,250 --> 00:01:18,450
+نفرض أنه عندنا معادلة تفاضلية في معادلة رقم
+
+18
+00:01:18,450 --> 00:01:24,750
+واحد معادلة تفاضلية من الدرجة الثانية خطية ولكن هذه
+
+19
+00:01:24,750 --> 00:01:29,330
+المعادلة ليست متجانسة non-homogeneous، الطرف الأيمن لا
+
+20
+00:01:29,330 --> 00:01:35,110
+يساوي صفر  P و Q و R are continuous functions
+
+21
+00:01:35,110 --> 00:01:42,270
+قوانين on open interval I فعندنا أول تعريف هندرسه هو
+
+22
+00:01:42,270 --> 00:01:47,590
+معادلة رقم 2 هو نفس معادلة رقم 1 الطرف الشمال هو نفس
+
+23
+00:01:47,590 --> 00:01:50,430
+الطرف الشمال  اللي كان طرف الأيمن استخداما G of X
+
+24
+00:01:50,430 --> 00:01:55,390
+بالصفر فبالتالي رقم 2 هي معادلة تفاضلية من الدرجة
+
+25
+00:01:55,390 --> 00:01:59,590
+الثانية homogeneous ولكن طرفها الأيمن هو نفس
+
+26
+00:01:59,590 --> 00:02:02,950
+الطرف الأيمن للمعادلة الأولى لذلك تسمى هذه
+
+27
+00:02:02,950 --> 00:02:05,470
+المعادلة الأولى the corresponding homogeneous
+
+28
+00:02:05,470 --> 00:02:08,250
+differential equation فأي معادلة تفاضلية non
+
+29
+00:02:08,250 --> 00:02:12,230
+-homogeneous لما ندخل الطرف الأيمن اللي هو نسميه
+
+30
+00:02:12,230 --> 00:02:15,510
+الـ non-homogeneous term تسمى هنا في المعادلة
+
+31
+00:02:15,510 --> 00:02:20,560
+الأولى G of T تسمى non-homogeneous term إذا
+
+32
+00:02:20,560 --> 00:02:23,540
+استخدمناها بالصفر فبتصير عندنا معادلة تفاضلية
+
+33
+00:02:23,540 --> 00:02:26,620
+متجانسة homogeneous differential equation تسمى the
+
+34
+00:02:26,620 --> 00:02:28,680
+corresponding homogeneous differential equation
+
+35
+00:02:28,680 --> 00:02:33,880
+وهذه معادلة رقم اتنين ستلعب دور مهم في حل معادلة
+
+36
+00:02:33,880 --> 00:02:37,640
+الـ non homogeneous اللي هي رقم واحد كما سنرى إن
+
+37
+00:02:37,640 --> 00:02:45,420
+شاء الله في هذا الـ section theorem 3.61 if y1 and
+
+38
+00:02:45,420 --> 00:02:48,560
+y2 are two solutions of the non homogenous
+
+39
+00:02:48,560 --> 00:02:52,170
+differential equation 1 then their difference y1
+
+40
+00:02:52,170 --> 00:02:56,210
+-y2 is a solution of the corresponding homogeneous
+
+41
+00:02:56,210 --> 00:02:59,730
+differential equation 2 هذه النظرية بتقول لو أنا
+
+42
+00:02:59,730 --> 00:03:02,250
+عرفت أحل للـ differential equation 1 اللي هي الـ
+
+43
+00:03:02,250 --> 00:03:06,550
+non-homogeneous وسميناه مثلا y1 و y2 فالفرق بينهم هيكون
+
+44
+00:03:06,550 --> 00:03:09,130
+solution للـ corresponding homogeneous differential
+
+45
+00:03:09,130 --> 00:03:12,530
+equation وزي ما احنا درسنا في الـ discussion
+
+46
+00:03:12,530 --> 00:03:15,930
+السابقة أن أي حل للـ homogeneous equation يُكتب
+
+47
+00:03:15,930 --> 00:03:19,190
+كـ linear combination من الـ fundamental solutions
+
+48
+00:03:19,190 --> 00:03:31,880
+لها افترضنا Y1 وY2 هم نقص
+
+49
+00:03:31,880 --> 00:03:34,200
+Y1 وY2 هم نقص Y1 وY2 هم نقص Y1 وY2 هم نقص Y1 وY2
+
+50
+00:03:34,200 --> 00:03:35,140
+هم نقص Y1 وY2 هم نقص Y1 وY2 هم نقص Y1 وY2 هم نقص
+
+51
+00:03:35,140 --> 00:03:38,060
+Y1 وY2 هم نقص Y1 وY2 هم نقص Y1 وY2 هم نقص Y1 وY2
+
+52
+00:03:38,060 --> 00:03:38,360
+هم نقص Y1 وY2 هم نقص Y1 وY2 هم نقص Y1 وY2 هم نقص
+
+53
+00:03:38,360 --> 00:03:48,790
+هم نقص Y1 وY2 هم نقص Y1 وY2 هم نقص Y1 وY2 هم نقص أي
+
+54
+00:03:48,790 --> 00:03:53,690
+حل لـ Non-homogeneous يُكتب كمجموع حل لـ حل لـ Non
+
+55
+00:03:53,690 --> 00:04:01,350
+-homogeneous زائد حل خاص لـ Non-homogeneous نظرية
+
+56
+00:04:01,350 --> 00:04:06,170
+362 يقول أن general solution لـ Non-homogeneous هو
+
+57
+00:04:06,170 --> 00:04:11,290
+عبارة عن general solution لـ Non-homogeneous هو
+
+58
+00:04:11,290 --> 00:04:16,970
+C1×Y1 زائد C2×Y2 زائد Y of T هو حل خاص لـ Non
+
+59
+00:04:16,970 --> 00:04:21,960
+-homogeneous هذه نظرية مهمة اللي هنشتغل عليها في
+
+60
+00:04:21,960 --> 00:04:26,500
+هذا الـ section أن أي حل عام للمعادلة التفاضلية الـ
+
+61
+00:04:26,500 --> 00:04:30,940
+non-homogeneous هو عبارة عن مجموع حلين اللي هو حل
+
+62
+00:04:30,940 --> 00:04:34,800
+هذا اللي هو C1 في Y1 زائد C2 في Y2 وهو الحل
+
+63
+00:04:34,800 --> 00:04:37,220
+للـ corresponding homogeneous differential equation
+
+64
+00:04:37,220 --> 00:04:41,260
+اللي هي نفسها معادلة التفاضلية رقم 1 لكن طرف الأيمن
+
+65
+00:04:41,260 --> 00:04:47,220
+يبقى صفر زائد حل معين وهذا موضوع section كيف نجيبه
+
+66
+00:04:47,950 --> 00:04:53,270
+لـ Non-homogeneous differential equation 1 بالتالي
+
+67
+00:04:53,270 --> 00:04:56,710
+فإن خطوات إيجاد الحل العام للمعادلة التفاضلية اللي
+
+68
+00:04:56,710 --> 00:04:59,170
+هي غير متجانسة Non-homogeneous differential
+
+69
+00:04:59,170 --> 00:05:06,950
+equation 1 يمكن تلخيصه في الخطوات التالية فنشوف
+
+70
+00:05:06,950 --> 00:05:10,370
+الملاحظة التالية Note The solution of the non
+
+71
+00:05:10,370 --> 00:05:13,620
+-homogeneous differential equation 1 can be
+
+72
+00:05:13,620 --> 00:05:17,300
+obtained using the following three steps حل أي
+
+73
+00:05:17,300 --> 00:05:21,320
+معادلة تفاضلية non-homogeneous إيجادها يتم من خلال
+
+74
+00:05:21,320 --> 00:05:25,460
+الخطوات التالية التالية 1 Find a complementary
+
+75
+00:05:25,460 --> 00:05:33,040
+solution إيجاد حل مكمل نرمز له بالـ YC C أول حرف من
+
+76
+00:05:33,040 --> 00:05:37,280
+كلمة complementary نسميه الحل المكمل يساوي C1 في
+
+77
+00:05:37,280 --> 00:05:42,040
+Y1 زائد C2 في Y2 وهذا الحل هو الـ General solution
+
+78
+00:05:42,040 --> 00:05:45,560
+للـ Homogeneous differential equation which is the
+
+79
+00:05:45,560 --> 00:05:47,940
+general solution of the corresponding homogeneous
+
+80
+00:05:47,940 --> 00:05:51,360
+differential equation 2 يعني أول خطوة في الحل
+
+81
+00:05:51,360 --> 00:05:54,380
+أنه بنجيب احنا الـ differential equation
+
+82
+00:06:04,820 --> 00:06:10,260
+الخطوة الثانية Find a Particular Solution YB نوجد
+
+83
+00:06:10,260 --> 00:06:16,940
+حل خاص نسميه YB هذا
+
+84
+00:06:16,940 --> 00:06:19,560
+الحل هو حل خاص للـ Non-homogeneous differential
+
+85
+00:06:19,560 --> 00:06:20,120
+equation
+
+86
+00:06:23,500 --> 00:06:32,240
+الخطوة الثالثة نوجد
+
+87
+00:06:32,240 --> 00:06:34,780
+الحل العام للمعادلات التفاضلية الـ non-homogeneous
+
+88
+00:06:34,780 --> 00:06:39,700
+بجمع الـ complementary solution مع الـ particular
+
+89
+00:06:39,700 --> 00:06:46,600
+solution فالحل العام Y يسمى YC زائد YB  Yb هو الـ
+
+90
+00:06:46,600 --> 00:06:47,980
+Complementary solution و Yb هو الـ Original
+
+91
+00:06:47,980 --> 00:06:49,800
+solution للـ Corresponding homogeneous
+
+92
+00:06:49,800 --> 00:06:54,120
+differential equation و Yb هو Particle solution للـ
+
+93
+00:06:54,120 --> 00:06:58,540
+Non-homogeneous طبعاً لما أجيب الحلين أجمعهم مع
+
+94
+00:06:58,540 --> 00:07:03,150
+بعض  بالتالي الحل العام هذه خطوات الثلاث التي
+
+95
+00:07:03,150 --> 00:07:07,570
+سنتبعها في حل أي non-homogeneous equation لإيجاد
+
+96
+00:07:07,570 --> 00:07:11,870
+الـ General solution سنبدأ الآن في دراسة الطريقة
+
+97
+00:07:11,870 --> 00:07:16,510
+الأولى اللي سندرسها في الـ Section 3-6 لإيجاد الـ
+
+98
+00:07:16,510 --> 00:07:21,830
+YP الـ Particular solution هذه الطريقة تسمى method
+
+99
+00:07:21,830 --> 00:07:27,180
+of undetermined coefficients طريقة المعاملات الغير
+
+100
+00:07:27,180 --> 0:07:32,860
+محددة الطريقة هذه لاستخدامها يوجد عندها شروط الـ
+
+101
+00:07:32,860 --> 00:07:37,100
+method of undetermined coefficients هذا البرنامج
+
+102
+00:07:37,100 --> 00:07:41,120
+عادي استخدامه فقط للمشكلات التي تحتوي على الـ
+
+103
+00:07:41,120 --> 00:07:43,760
+homogeneous differential equation التي تحتوي على
+
+104
+00:07:43,760 --> 00:07:49,000
+مقاومة مستمرة ومقاومة غير مستمرة التي تحتوي على
+
+105
+00:07:49,000 --> 00:07:50,880
+بولينوميال وفعالية أسية exponential
+
+106
+00:07:54,340 --> 00:07:58,320
+هذه الطريقة الأولى لحل معادلة الـ non-homogeneous
+
+107
+00:07:58,320 --> 00:08:01,000
+differential equation هي طريقة الـ under
+
+108
+00:08:01,000 --> 00:08:04,000
+determined coefficients لا تحلل كل الأسئلة بل
+
+109
+00:08:04,000 --> 00:08:08,660
+تحلل أسئلة خاصة لها شروط أول شرط أن تكون عند
+
+110
+00:08:08,660 --> 00:08:11,220
+الـ homogeneous differential equation الـ
+
+111
+00:08:11,220 --> 00:08:15,130
+coefficients ثوابت والشرط الثاني أن تكون الـ Non
+
+112
+00:08:15,130 --> 00:08:18,870
+-homogeneous term نسميه G of T أو G of X على طرف
+
+113
+00:08:18,870 --> 00:08:22,070
+الأيمن يكون من النوع من الأنواع التالية يكون عبارة عن
+
+114
+00:08:22,070 --> 00:08:26,050
+polynomial exponential functions أو Sines أو
+
+115
+00:08:26,050 --> 00:08:32,890
+Cosines طبعاً هذه الطريقة ليست طريقة لحل جميع الأسئلة
+
+116
+00:08:32,890 --> 00:08:36,310
+هي حل أسئلة خاصة تحقق هذه الشروط هل تكون الـ
+
+117
+00:08:36,310 --> 00:08:40,330
+coefficients الـ constants والـ non-homogeneous term يكون
+
+118
+00:08:40,330 --> 00:08:43,530
+من الأنواع المذكورة أمامنا بولينوميال أسية 
+
+119
+00:08:43,530 --> 00:08:47,530
+أو ساينز وكوزينز الأسئلة الأخرى في طريقة سنقريشها إن
+
+120
+00:08:47,530 --> 00:08:50,670
+شاء الله في section 3-7 بتحل جميع الأسئلة ومافيش
+
+121
+00:08:50,670 --> 00:08:51,490
+فيها شروط
+
+122
+00:08:54,970 --> 00:08:58,410
+سوف ندرس طريقة الانتظار variation of parameters من خلال عدة
+
+123
+00:08:58,410 --> 00:09:01,990
+أمثلة سواء في هذا الجزء من الـ section أو في الجزء
+
+124
+00:09:01,990 --> 00:09:06,270
+الثاني إن شاء الله فعند أول example example one find
+
+125
+00:09:06,270 --> 00:09:08,790
+a particular solution of the differential equation
+
+126
+00:09:08,790 --> 00:09:15,170
+y double prime نقص 3 y prime نقص 4 y يساوي 3 في E و 2T
+
+127
+00:09:15,170 --> 00:09:18,130
+طبعاً هنا مطلوب فقط أن يجيب particular solution YB
+
+128
+00:09:18,130 --> 00:09:22,800
+نلاحظ أن هذه معادلة تفاضلية تحقق الشروط اللي هو يمكن
+
+129
+00:09:22,800 --> 00:09:25,800
+استخدام الـ Undetermined coefficients فيها فعند
+
+130
+00:09:25,800 --> 00:09:28,900
+المعادلة التفاضلية الـ coefficients ثوابت إنه non
+
+131
+00:09:28,900 --> 00:09:33,120
+homogeneous  1 و سالب 3 و سالب 4 هذا هو الشرط شرط الـ
+
+132
+00:09:33,120 --> 00:09:35,220
+Non-homogeneous term إنها عبارة عن exponential
+
+133
+00:09:35,220 --> 00:09:39,360
+فبالتالي ممكن استخدام طريقة الـ Undetermined
+
+134
+00:09:39,360 --> 00:09:44,720
+coefficients الشرط متوفرة حتى نفهم فكرة الطريقة أنا
+
+135
+00:09:44,720 --> 00:09:47,960
+عند الطرف الأيمن فيه دالة Y مشتقة الأولى و
+
+136
+00:09:47,960 --> 00:09:51,750
+مشتقة الثانية ضربناهم في ثوابت عملنا له نسميه الـ
+
+137
+00:09:51,750 --> 00:09:54,010
+Linear Combination طلع في الطرف الأيمن الـ
+
+138
+00:09:54,010 --> 00:09:57,130
+Exponential طبعاً نعرف إن خصائص الـ Exponential
+
+139
+00:09:57,130 --> 00:10:00,470
+المشترك أن ده اللي مشتقتها الأولى و مشتقتها
+
+140
+00:10:00,470 --> 00:10:03,010
+الثانية نجمعهم مع بعض نجمعهم يطلع الـ Exponential 
+
+141
+00:10:03,010 --> 00:10:07,970
+فالشكل ده الأكيد له علاقة بالـ Exponential فالفرض
+
+142
+00:10:07,970 --> 00:10:12,610
+الأصلي أن نفترض أن ال particle solution YB يساوي
+
+143
+00:10:12,610 --> 00:10:16,190
+ذلك الـ Exponential اللي عندي يا e أس 2T مضروبة
+
+144
+00:10:16,190 --> 00:10:22,260
+في coefficient A وهو المجهول وهو المطلوب إيجاد قيمته
+
+145
+00:10:22,260 --> 00:10:25,940
+A لهذا السبب تسمى هذه الطريقة طريقة Undetermined
+
+146
+00:10:25,940 --> 00:10:30,680
+Coefficient لأنه أنا عندي سؤال عن نوجة قيمة A
+
+147
+00:10:30,680 --> 00:10:35,520
+لأننا فرضنا شكل الحل وهو أهم خطوة فيها فرض شكل
+
+148
+00:10:35,520 --> 00:10:43,670
+الحل وهو نفس الـ Exponential ده e أس 2NT مضروب بثابت طبعًا
+
+149
+00:10:43,670 --> 00:10:46,190
+ليه احنا فرضنا هذا الشكل؟ لأنه أنا عندي فيه دالة
+
+150
+00:10:46,190 --> 00:10:50,650
+why مستقلة ومستقلة ثانية ضربناهم في ثوابت وجمعناهم
+
+151
+00:10:50,650 --> 00:10:54,550
+مع بعض واختصرنا طريقة Exponential e أس 2T طبعًا
+
+152
+00:10:54,550 --> 00:10:58,550
+مضروب بالتلاتة، فإذا شكل الدالة هو هيكون نفس الشكل
+
+153
+00:10:58,550 --> 00:11:01,770
+هذا لأنه مضروب بالثابت وظل عليه بالثابت ولو صارت 
+
+154
+00:11:01,770 --> 00:11:06,950
+عملية جبرية بسيطة أن نعوض هذا هي أهم خطوة فرض
+
+155
+00:11:06,950 --> 00:11:11,470
+شكل الحل نعوض في المعادلة عشان نعوض في المعادلة
+
+156
+00:11:11,470 --> 00:11:15,290
+الفضلية هنحسب المشتقة الأولى والمشتقة الثانية زي
+
+157
+00:11:15,290 --> 00:11:20,010
+ما أنتم شايفين YB وYB prime وYB double prime
+
+158
+00:11:20,620 --> 00:11:23,560
+ونعوّل في المعادلة الفضلية هتكوّن هذه المعادلة
+
+159
+00:11:23,560 --> 00:11:27,880
+نجمع بيطلع عندي سالب 6A في e أس 2T بساوي
+
+160
+00:11:27,880 --> 00:11:33,220
+تلاتة في e أس 2T إذا سالب 6A هيساوي تلاتة
+
+161
+00:11:33,220 --> 00:11:35,580
+ومنها بيطلع A ساوي سالب نص إذا الـY بيبقى عندي
+
+162
+00:11:35,580 --> 00:11:39,020
+ساوي سالب نص في e أس 2T لأن هو ده هو الـ
+
+163
+00:11:39,020 --> 00:11:42,620
+particular solution طبعًا هنا طالب بس فقط أن نجيب
+
+164
+00:11:42,620 --> 00:11:47,930
+ال particular solution هذه الفكرة هي طريقة نفرض شكل
+
+165
+00:11:47,930 --> 00:11:51,130
+الحل الـ Particle Solution وهذه الخطوة الـ Formula
+
+166
+00:11:51,130 --> 00:11:54,650
+في أسئلة قدام بس هيطلب الـ Formula اللي هيأخذ من
+
+167
+00:11:54,650 --> 00:11:57,670
+الوقت المجهود هو إيجاد الـ Coefficient ففكرة هذه
+
+168
+00:11:57,670 --> 00:12:00,370
+الطريقة مبنية على أنه نفرض شكل الحل الـ Particle
+
+169
+00:12:00,370 --> 00:12:03,510
+Solution في الحالة الـ Exponential هيكون نفس الـ
+
+170
+00:12:03,510 --> 00:12:07,070
+Exponential مضروب بثابت وبعد ذلك لازم نجيب كلمة
+
+171
+00:12:07,070 --> 00:12:10,130
+ثابت بالتعويض وتكوين معادلات وهذه هي اللي بتاخد
+
+172
+00:12:10,130 --> 00:12:13,990
+الوقت المجهود سننتقل الآن إلى مثل جديد
+
+173
+00:12:17,100 --> 00:12:20,380
+مثال اتنين find a particular solution of the
+
+174
+00:12:20,380 --> 00:12:24,720
+differential equation نفس الطرف الأيسر معادلة
+
+175
+00:12:24,720 --> 00:12:27,660
+تفضلية في المثال واحد وي دابل برايم نقص تلاتة وي
+
+176
+00:12:27,660 --> 00:12:32,000
+برايم نقص أربعة وي تساوي بسنة سبتانة g of t بإنها
+
+177
+00:12:32,000 --> 00:12:35,860
+تساوي اتنين في sin t وهذه ستكون نفس الفكرة كيف
+
+178
+00:12:35,860 --> 00:12:41,050
+نفرض شكل ال particular solution عند الطرف الأيسر دا
+
+179
+00:12:41,050 --> 00:12:44,870
+اللي هو واي ومشتقتها الأولى والتانية مجمعات مع بعض أنها
+
+180
+00:12:44,870 --> 00:12:47,630
+مضروبات في تلاتة وأربعة بيط واحد وثالث وثالث واربعة
+
+181
+00:12:47,630 --> 00:12:52,190
+جمعها بطولة الـSin يعني أن الـSin بيأتي من الـSin
+
+182
+00:12:52,190 --> 00:12:55,770
+أو من الـCos لأن مشتقة الـSin Cos ومشتقتها الثانية 
+
+183
+00:12:55,770 --> 00:12:59,850
+الـSin كوزاين مش دقيقة تبع الوكليجي الصين فإذا
+
+184
+00:12:59,850 --> 00:13:03,950
+أتوقع أن الـ particle solution هيكون جاي من أصله
+
+185
+00:13:03,950 --> 00:13:08,150
+من الكوزاين والصين فنكتبه هذا هو شكل الفرض في حالة
+
+186
+00:13:08,150 --> 00:13:14,090
+الصين أو في حالة الكوزاين A في كوزاين t زي B في sin t
+
+187
+00:13:14,090 --> 00:13:18,590
+حيث A وB ثوابت فهذه هي أهم قطة في الطريقة اللي
+
+188
+00:13:18,590 --> 00:13:23,370
+عندنا كيف نفرض شكل الحل فالـ YB تساوي A في كوزاين
+
+189
+00:13:23,370 --> 00:13:29,160
+T زي B في sin T طبعًا احنا كانت الطريقة تفرض أن الـ
+
+190
+00:13:29,160 --> 00:13:31,780
+Non-homogeneous term يكون exponential أو sin أو
+
+191
+00:13:31,780 --> 00:13:35,980
+cos لأنه بتولد من بعض من عن طريق المشتقات الأولى
+
+192
+00:13:35,980 --> 00:13:40,460
+والتانية لكن لو فرضنا هذا الله ي.. لو فرضنا الطرف
+
+193
+00:13:40,460 --> 00:13:46,800
+الأيمن كان ln T ف أنا أي ده اللي اشتقها المشتقة
+
+194
+00:13:46,800 --> 00:13:50,040
+الأولى والتانية هو مش هتطلع لي ln T لو فرضنا ln T
+
+195
+00:13:50,040 --> 00:13:53,120
+مشتقة الأولى هتصير واحد على T وبعدين سالب واحد على 
+
+196
+00:13:53,120 --> 00:13:58,200
+T تربيع فمش هتجيني لكن الـهتأتي من أصله من sin أو
+
+197
+00:13:58,200 --> 00:14:02,120
+من cos الـ exponential زي في المثال السابق هتأتي
+
+198
+00:14:02,120 --> 00:14:05,180
+من الـ exponential فإذا الأهم خطوة عندي اللي هو
+
+199
+00:14:05,180 --> 00:14:09,380
+الـ yp فالـ yp في حالة الـ sin أو الـ cos هيشكله
+
+200
+00:14:09,380 --> 00:14:12,540
+سواء A في cos t زي B في sin t الباقي هو عملية
+
+201
+00:14:12,540 --> 00:14:14,760
+حسابية جبرية جبرية اتنين وجده اللي هو الـ
+
+202
+00:14:14,760 --> 00:14:17,970
+coefficients a و b في الحالة هتلاحظوا فيه مجلولين
+
+203
+00:14:17,970 --> 00:14:21,310
+إذا هنكوّن معادلتين كيف هنكوّنهم؟ هعوّل في الطرف
+
+204
+00:14:21,310 --> 00:14:24,070
+الأيسر عشان أعوّل في الطرف الأيسر هقعد لعند YP
+
+205
+00:14:24,070 --> 00:14:27,210
+فرضينه هدي المشتقة الأولى والتانية هدي المشتقة
+
+206
+00:14:27,210 --> 00:14:30,670
+الأولى وهدي المشتقة الثانية بعدين عوضنا في
+
+207
+00:14:30,670 --> 00:14:33,930
+المعادلة الفضلية المشتقة الثانية نقص تلاتة في
+
+208
+00:14:33,930 --> 00:14:37,690
+المشتقة الأولى نقص أربعة في YP و سوينها اتنين sin
+
+209
+00:14:37,690 --> 00:14:41,990
+T جمعنا معاملات الـ cosine مع بعض هي سالب خمسة A
+
+210
+00:14:41,990 --> 00:14:48,640
+نقص تلاتة B مع معاملات الـSin عندي هان تلاتة a نقص
+
+211
+00:14:48,640 --> 00:14:58,240
+خمسة b هذا سيساوي اتنين في الـ sign اللي هو T طبعًا
+
+212
+00:14:58,240 --> 00:15:04,820
+هان الخمسة هذه خطأ مطبعي محدد طبعًا عند الطرف
+
+213
+00:15:04,820 --> 00:15:07,420
+الأيسر يساوي الطرف الأيمن إذا معامل كوزين يساوي
+
+214
+00:15:07,420 --> 00:15:10,400
+معامل كوزين هان في الأيمن مافيش كوزين إذا معامل كوزين
+
+215
+00:15:10,400 --> 00:15:16,590
+في الأيسر يساوي صفرمعامل الـ sine هي 2 إذا تلاتة A
+
+216
+00:15:16,590 --> 00:15:22,150
+نقص خمسة B تلاتة A نقص خمسة B بيساوي 2 ومن حل
+
+217
+00:15:22,150 --> 00:15:26,750
+المعادلة A مع بعض طبعًا ضربنا هنا الأولى في تلاتة و
+
+218
+00:15:26,750 --> 00:15:31,690
+الثانية في خمسة وجمعنا الحاصل ونسأل أن الـ B
+
+219
+00:15:31,690 --> 00:15:34,570
+بيساوي سالب خمسة على سبعتاشر والـ A بيساوي تلاتة على
+
+220
+00:15:34,570 --> 00:15:38,750
+سبعتاشر ونعود بالفرض فبتطلع الـ Y بيساوي تلاتة على
+
+221
+00:15:38,750 --> 00:15:43,680
+سبعتاشر cos t نقص خمسة على سبعتاشر بـ sin t هي نفس
+
+222
+00:15:43,680 --> 00:15:48,460
+الفكرة السابقة أهم خطوة هي الخطوة الأولى الفرض و
+
+223
+00:15:48,460 --> 00:15:51,000
+الفرض في حالة الـ sine أو الـ cosine هي بالصورة
+
+224
+00:15:51,000 --> 00:15:54,860
+هذه باعتمد على الـ cosine وعلى الـ sine في بعض
+
+225
+00:15:54,860 --> 00:15:56,820
+ممكن يقولون الـ sine لماذا أتكلم عن الـ cosine؟ لا
+
+226
+00:15:56,820 --> 00:15:59,360
+تنسى أن أنا عندي في مشتقة أولى والمشتقة الأولى
+
+227
+00:15:59,360 --> 00:16:02,300
+مشتقة الـ cosine هي الـ sine فهنا على طرف
+
+228
+00:16:02,300 --> 00:16:05,520
+الأزرق في مشتقة أولى وثانية فدائمًا الحالة يكون الفرض
+
+229
+00:16:05,520 --> 00:16:11,120
+بالصورة هذه في حالة الـ sine أو الـ cosine ننتقل
+
+230
+00:16:11,120 --> 00:16:17,250
+لمثال جديد مثال الحالي مثال تلاتة find the
+
+231
+00:16:17,250 --> 00:16:19,150
+particular solution of the differential equation
+
+232
+00:16:19,150 --> 00:16:24,990
+y w'-3y'-4y بيساوي 4t تربيع نقص واحد تلاحظوا الطرف
+
+233
+00:16:24,990 --> 00:16:29,650
+الأيسر هو نقص الأيسر في الأمثلة السابقة عند الطرف
+
+234
+00:16:29,650 --> 00:16:33,770
+الأيمن 4t تربيع نقص واحد طب هذا أنا عندي
+
+235
+00:16:33,770 --> 00:16:38,870
+polynomial درجة الثانية الـ YP في الحالة اللي هيكون
+
+236
+00:16:38,870 --> 00:16:41,750
+polynomial هيكون برضه polynomial نفس الدرجة لكن
+
+237
+00:16:41,750 --> 00:16:45,090
+هنكتب الصورة العامة لها يعني أنا عندي polynomial
+
+238
+00:16:45,090 --> 00:16:48,910
+4t تربيع نقص واحد لاحظوا أنه مافيش T لكن أنا
+
+239
+00:16:48,910 --> 00:16:54,270
+عندما أفرض بفرض لل YP الصورة العامة لـ polynomial
+
+240
+00:16:54,270 --> 00:16:58,570
+درجة ثانية هي A T تربيع زي B T زي C رغم أنه
+
+241
+00:16:58,570 --> 00:17:01,550
+مافيش T لكن لازم نكتب الصورة العامة حتى لو فرضنا
+
+242
+00:17:01,550 --> 00:17:06,140
+هنا T أس خمسة فقط فلازم تبقى الصورة العامة لـ AT
+
+243
+00:17:06,140 --> 00:17:12,940
+Plus 5 Plus DT Plus 4 Plus CT Plus 3 Plus DT Plus 
+
+244
+00:17:12,940 --> 00:17:18,280
+F لازم الصورة العامة لـ polynomial درجة الموجودة
+
+245
+00:17:18,280 --> 00:17:21,440
+عندها بداية من درجة الثانية إذا لازم تفصيلها عامة
+
+246
+00:17:21,440 --> 00:17:24,460
+من درجة الثانية فتلاحظوا أنه أنا في الحالة أدات
+
+247
+00:17:24,460 --> 00:17:27,600
+تلاتة coefficients من جولات A,B,C فبنكوّن معادلات
+
+248
+00:17:27,600 --> 00:17:30,660
+عشان أنهم موجودهم نفس الأسلوب من عوض المعادلة
+
+249
+00:17:30,660 --> 00:17:33,900
+الفضلية هنحسب المشتقة الأولى والمشتقة الثانية
+
+250
+00:17:33,900 --> 00:17:39,640
+وعوضنا كوّننا معادلات كما واضح مدامكم هذه تلاتة
+
+251
+00:17:39,640 --> 00:17:43,300
+معادلات الأولى والثانية والثالثة كيف كوّنناها؟ لما
+
+252
+00:17:43,300 --> 00:17:46,280
+أخدنا المشتقة الأولى هي المشتقة الثانية هيعوضناها
+
+253
+00:17:46,280 --> 00:17:51,680
+المشتقة الثانية هي هانقص تلاتة في المشتقة الأولى
+
+254
+00:17:51,680 --> 00:17:57,820
+المشتقة الأولى ضربناها في بعض هيها بعدين عندي ناقص
+
+255
+00:17:57,820 --> 00:18:03,280
+أربع في Y ناقص أربع في هذه هي ناقص أربع في Y عند
+
+256
+00:18:03,280 --> 00:18:07,940
+هذا Y مضروب ناقص أربع سوينها بأربعة t تربيع نقص
+
+257
+00:18:07,940 --> 00:18:12,900
+واحد عندي في بلنقميل جمعنا القوة المغناضرة معاملة
+
+258
+00:18:12,900 --> 00:18:17,920
+t تربيع هي سالب أربعة A معاملة T هي سالب ستة A نقص
+
+259
+00:18:17,920 --> 00:18:22,300
+أربعة B والحد المطلق 2A نقص تلاتة B نقص أربعة
+
+260
+00:18:22,300 --> 00:18:26,480
+C بيساوي أربعة T تربيع نقص واحدة دام الطرف الأيسر
+
+261
+00:18:26,480 --> 00:18:29,080
+بيساوي الطرف الأيمن إذا المعاملات المتناهضة
+
+262
+00:18:29,080 --> 00:18:33,520
+متساوية إذا معاملة T تربيع هان سالب أربعة A بيساوي
+
+263
+00:18:33,520 --> 00:18:38,740
+معاملة T تربيع هان أربعة معاملة T هي سالب ستة A نقص
+
+264
+00:18:38,740 --> 00:18:44,100
+أربعة B بيساوي معاملة T هان مافيش T إذا معاملة صفر لحد
+
+265
+00:18:44,100 --> 00:18:48,060
+المطلق هذا كله هيساوي لحد المطلق أنا سالب واحد و
+
+266
+00:18:48,060 --> 00:18:51,920
+بعدين حلل المعادلات بسهولة وواضحة وبعدين أخر
+
+267
+00:18:51,920 --> 00:18:55,320
+خطوة برجع للحل اللي عند ال particle solution بعوض
+
+268
+00:18:55,320 --> 00:18:59,420
+عن a وb وc بقيمهم أي معوضة وهيك بكل أخذنا تلاتة
+
+269
+00:18:59,420 --> 00:19:03,440
+الأمثلة الطرف الأي صرف الأمثلة كلها نفس المعادلة
+
+270
+00:19:03,440 --> 00:19:06,020
+الفضلية لكن الـأيمن من ال non homogeneous term G
+
+271
+00:19:06,020 --> 00:19:09,540
+أخذناه في أول مثال exponential في الثاني كان sine
+
+272
+00:19:09,540 --> 00:19:12,920
+وفي التالت كان polynomial من درجة ثانية
+
+273
+00:19:15,730 --> 00:19:20,730
+نلخص الفروض الـ YP في حالة الـ Non-homogeneous إذا
+
+274
+00:19:20,730 --> 00:19:23,230
+كانت هو عند الـ Non-homogeneous term exponential
+
+275
+00:19:23,230 --> 00:19:27,650
+e أس alpha T فالفرض YP هيكون A في e أس alpha T
+
+276
+00:19:27,650 --> 00:19:32,810
+إذا كانت طرف الـ Non-homogeneous sin beta T أو cos
+
+277
+00:19:32,810 --> 00:19:39,670
+beta T فYP هيكون A في sin beta T زي B في cos beta
+
+278
+00:19:39,670 --> 00:19:45,330
+T يعني حياتنا بدأت تنتهي آخر حاجة لو كان polynomial
+
+279
+00:19:45,330 --> 00:19:48,950
+من درجة N فهيكون الفرض الوالد بيه polynomial من
+
+280
+00:19:48,950 --> 00:19:54,890
+درجة N هذه هي أهم الفروض اللي عندنا فلو كان الطرف
+
+281
+00:19:54,890 --> 00:20:00,070
+الطرف الأيمن الـ non homogeneous حصل ضرب تنتهي من هدول
+
+282
+00:20:00,070 --> 00:20:04,790
+لو كان أنا عند الطرف الأيمن exponential مضروب في 
+
+283
+00:20:04,790 --> 00:20:07,890
+cosine أو في sine أو في polynomial أو مضروبات
+
+284
+00:20:07,890 --> 00:20:13,350
+كتيرة مع بعض عندنا أول ملاحظة سندرسها جزء من 
+
+285
+00:20:13,350 --> 00:20:19,150
+section 3-6 remark 1 when gt is a product of any
+
+286
+00:20:19,150 --> 00:20:23,190
+two or all three لو كانت حاصل ضرب اثنين أو ثلاثة 
+
+287
+00:20:23,190 --> 00:20:26,330
+لو كانت حاصل exponential مع cosine أو exponential مع
+
+288
+00:20:26,330 --> 00:20:32,630
+sine أو exponential مع polynomial أو cosine مع
+
+289
+00:20:32,630 --> 00:20:37,710
+polynomial أو الثلاثة مع بعض ففي الحالة هذه نستخدم 
+
+290
+00:20:38,660 --> 00:20:43,960
+Product of the same functions يعني لو كانت
+
+291
+00:20:43,960 --> 00:20:47,560
+exponential في الـ sine فنختار فرض الـ exponential
+
+292
+00:20:47,560 --> 00:20:52,340
+في فرض الـ sine هنضرب هذا في هذا سنشوف هذا عن طريق
+
+293
+00:20:52,340 --> 00:21:01,350
+مثال لو فرضنا هذا المثال Find a particular solution
+
+294
+00:21:01,350 --> 00:21:06,850
+of the differential equation yw'-3y'-4y يساوي
+
+295
+00:21:06,850 --> 00:21:11,410
+سالب 8 في U of T في cos 2t لاحظوا أن الطرف
+
+296
+00:21:11,410 --> 00:21:13,350
+الأيسر هو نفس الطرف الأيسر خدناه في الأمثلة
+
+297
+00:21:13,350 --> 00:21:16,330
+السابقة الأيمن هنا عبارة عن exponential مضروب في
+
+298
+00:21:16,330 --> 00:21:24,070
+cos هنا 2 فكيف نفرض الحل العام؟الفكرة بسيطة أن أنت
+
+299
+00:21:24,070 --> 00:21:28,930
+بتاخد فرض كل واحد لحاله الـ exponential فرضه yb
+
+300
+00:21:28,930 --> 00:21:33,930
+بساوي a1 في e أس 6t قالوا بالنسبة للكوزين فرضها 
+
+301
+00:21:33,930 --> 00:21:38,510
+يو a2 في cos 2t زائد a3 في sin 2t
+
+302
+00:21:38,510 --> 00:21:43,430
+طبعا سميت ال coefficients a1 و a2 و a3 للتسهيل
+
+303
+00:21:45,770 --> 00:21:49,030
+هنا لدي فرض الـ Exponential وهذا في الـ cosine هو
+
+304
+00:21:49,030 --> 00:21:52,730
+فرض الـ Cosine 2t لأنه مضروبين في بعض سنضرب
+
+305
+00:21:52,730 --> 00:21:55,850
+الفرضين في بعض نضربهم في بعض سيكون a1 في a2 في 
+
+306
+00:21:55,850 --> 00:21:59,830
+Ust في Cosine 2t ثم a1 في a3 في Ust في Sin
+
+307
+00:21:59,830 --> 00:22:04,990
+2t ولكن للتسهيل لدي a1 و a2 ثوابت فممكن أن
+
+308
+00:22:04,990 --> 00:22:09,850
+أسميهم بالثابت A و a1 و a3 ثابت ثاني اسميه B
+
+309
+00:22:09,850 --> 00:22:14,150
+فسيكون عندي صورة الفرض العام هيها للـYP
+
+310
+00:22:15,760 --> 00:22:20,000
+فبصير صورة الـ Particular solution فرض به في حالة
+
+311
+00:22:20,000 --> 00:22:23,400
+ما يكون الـ exponential في الـ cosine سوى A e أس 6t
+
+312
+00:22:23,400 --> 00:22:27,080
+في الـ cosine 2t زائد B e أس 6t في sin 2t 
+
+313
+00:22:27,080 --> 00:22:32,520
+هذا هو الأسلوب طبعا المطلوب أن أنا عندي ثابتين A وB
+
+314
+00:22:32,520 --> 00:22:35,320
+عشان يوجدهم نفس الأسلوب السابق هو هذا اللي بياخد
+
+315
+00:22:35,320 --> 00:22:40,140
+وجهته أنت لو إنطلب منك فقط شكل الحل هنكتفي بهذا
+
+316
+00:22:40,140 --> 00:22:43,020
+اللي هو هياخد من وجهته الموجود هو إيجاد الثوابط 
+
+317
+00:22:43,020 --> 00:22:47,820
+هي عملية جبرية بسيطة تاخد صحيح وجهتها لكن هي بتعود
+
+318
+00:22:47,820 --> 00:22:50,840
+وتيجي عشان أعوضها نجيب المشتقة الأولى والثانية هي 
+
+319
+00:22:50,840 --> 00:22:54,560
+المشتقة الأولى وهي المشتقة الثانية ونجمع نفس
+
+320
+00:22:54,560 --> 00:22:58,250
+الأسلوب الماضي وبعدها نعوض في المعادلة تفضليهم من
+
+321
+00:22:58,250 --> 00:23:00,630
+سماعات طرف الأيمن ونكون معادلات
+
+322
+00:23:03,810 --> 00:23:07,970
+فعندنا U of T في Cos 2T معاملها سالب 10A ناقص
+
+323
+00:23:07,970 --> 00:23:10,610
+2B يساوي معاملها اللي هو السالب 8 هي
+
+324
+00:23:10,610 --> 00:23:14,730
+معادلة الأولى وعندنا U of T في Sin 2T فاشي في تاريخ
+
+325
+00:23:14,730 --> 00:23:17,370
+الأمر إذا معاملها صفر إذا إنهاء كل 2A ناقص
+
+326
+00:23:17,370 --> 00:23:20,790
+10B يساوي الصفر هي معادلة الثانية بحل المعادلتين
+
+327
+00:23:20,790 --> 00:23:23,510
+الثانية مع بعض وما طلع معنا ال B يساوي 2 على 13
+
+328
+00:23:23,510 --> 00:23:26,350
+وال A يساوي 10 على 13 هذه هي الحسابات
+
+329
+00:23:26,350 --> 00:23:30,800
+كلها موجودة معاكم بالتفصيل هذه هي حسابات في السؤال
+
+330
+00:23:30,800 --> 00:23:35,140
+المشتقات وتبسيطاتها وهذه المعادلات المحصولة بعد
+
+331
+00:23:35,140 --> 00:23:37,880
+ذلك في الآخر بجعل الفرض اللي عنده ال A بجيبه و بحط 
+
+332
+00:23:37,880 --> 00:23:41,460
+قيمته و ال B بجيبه و بحط قيمته وهكذا يظهر لنا ال
+
+333
+00:23:41,460 --> 00:23:45,460
+YP فلو كان 3 في t أو t تربيع مضروبة نفس 
+
+334
+00:23:45,460 --> 00:23:49,100
+الأسلوب ناخد الفرض ال exponentialالفرض اللي هو الـ
+
+335
+00:23:49,100 --> 00:23:53,160
+cosine وفرضه بإنهم مضروبين مع بعض و بنجمعهم وطبعا
+
+336
+00:23:53,160 --> 00:23:56,040
+الثوابت مضروبة في بعض بس هيبقى ثابت واحد هذا هو
+
+337
+00:23:56,040 --> 00:24:00,440
+الأسلوب طبعا هناخد قدام أمثلة على الموضوع ونفسنا
+
+338
+00:24:00,440 --> 00:24:04,120
+هندرسه في Chapter 4 بالتفصيل ودرجات أعلى 
+
+339
+00:24:09,360 --> 00:24:13,220
+في نهاية الجزء الأول من section 3-6 أشكركم لحسن
+
+340
+00:24:13,220 --> 00:24:17,300
+استماعكم طبعا ال section دا اللي هو جزء هناخده إن
+
+341
+00:24:17,300 --> 00:24:20,940
+شاء الله بعد ذلك وهتكون عند الأمثلة مرتبطة في 
+
+342
+00:24:20,940 --> 00:24:25,400
+الجزء الأول في النهاية أتمنى لكم الصحة والعافية
+
+343
+00:24:25,400 --> 00:24:28,080
+والسلام عليكم ورحمة الله وبركاته
diff --git a/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/nBrW3a4yBV8_raw.json b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/nBrW3a4yBV8_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..9ac268b9740d616b5f343af6a0c6fca739913022
--- /dev/null
+++ b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/nBrW3a4yBV8_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2152, "start": 0.88, "end": 21.52, "text": "بسم الله الرحمن الرحيم عزيزي الله السلام عليكم ورحمة الله وبركاته في درس جديد من دروس مساخ معادلة التفاضلية عادية في هذا الدرس سندرس ان شاء الله section 3-5 بعنوان repeated roots reduction of order", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 6225, 11622, 1829, 11622, 1829, 21984, 21136, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224, 8978, 11778, 2288, 3794, 10874, 16254, 3215, 9154, 11778, 32887, 3794, 47524, 47283, 20449, 18513, 37977, 16712, 5172, 46958, 1211, 10632, 6225, 18513, 10632, 8978, 23758, 32748, 2288, 3794, 8608, 1863, 3215, 2288, 3794, 16472, 13412, 16606, 21984, 3541, 805, 12, 20, 45030, 1863, 2407, 7649, 10477, 10669, 11004, 295, 1668], "avg_logprob": -0.16242283361929435, "compression_ratio": 1.6894736842105262, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 0.88, "end": 1.14, "word": "بسم", "probability": 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جديد", "probability": 0.9871419270833334}, {"start": 7.42, "end": 7.94, "word": " من", "probability": 0.96728515625}, {"start": 7.94, "end": 8.4, "word": " دروس", "probability": 0.9645182291666666}, {"start": 8.4, "end": 8.82, "word": " مساخ", "probability": 0.42437744140625}, {"start": 8.82, "end": 9.22, "word": " معادلة", "probability": 0.9296875}, {"start": 9.22, "end": 9.84, "word": " التفاضلية", "probability": 0.8142578125}, {"start": 9.84, "end": 10.48, "word": " عادية", "probability": 0.9112955729166666}, {"start": 10.48, "end": 14.18, "word": " في", "probability": 0.84326171875}, {"start": 14.18, "end": 14.46, "word": " هذا", "probability": 0.8857421875}, {"start": 14.46, "end": 15.28, "word": " الدرس", "probability": 0.9861653645833334}, {"start": 15.28, "end": 16.22, "word": " سندرس", "probability": 0.88720703125}, {"start": 16.22, "end": 16.36, "word": " ان", "probability": 0.438232421875}, {"start": 16.36, "end": 16.6, "word": " شاء", "probability": 0.986328125}, {"start": 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cohesion لها جذور مكررة أي جدر واحد وهذه الحالة تحدث عندما يكون مميز يساوي سفر وفي الجزء الثاني سندرس طريقة reduction of order وهي طريقة من خلال أن نستطيع إيجاد حل العام لمعادلة تفضلية إذا عرفنا أحد حلولها", "tokens": [2407, 46958, 5016, 9154, 18871, 2407, 7649, 2423, 3541, 14739, 3224, 7251, 2655, 7435, 11622, 10721, 30731, 10874, 11622, 38207, 9957, 8978, 25724, 11622, 38207, 16247, 12610, 8608, 41260, 2288, 3794, 10477, 10669, 25724, 8848, 13063, 9673, 37983, 25720, 21542, 6027, 3660, 38392, 6055, 30544, 8978, 11296, 2423, 16282, 598, 38571, 5296, 11296, 10874, 8848, 13063, 3714, 37983, 25720, 36632, 10874, 3215, 2288, 36764, 24401, 37037, 24192, 21542, 6027, 3660, 6055, 24401, 12984, 43242, 15042, 7251, 30544, 3714, 2304, 1829, 11622, 7251, 3794, 995, 45865, 8608, 5172, 2288, 4032, 41185, 25724, 11622, 38207, 6024, 104, 7649, 1829, 8608, 41260, 2288, 3794, 23032, 16572, 28671, 11004, 295, 1668, 37037, 1829, 23032, 16572, 28671, 9154, 16490, 1211, 6027, 14739, 8717, 14851, 9566, 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44.71, "word": " order", "probability": 0.95654296875}, {"start": 44.71, "end": 45.09, "word": " وهي", "probability": 0.654052734375}, {"start": 45.09, "end": 45.61, "word": " طريقة", "probability": 0.9925130208333334}, {"start": 45.61, "end": 46.25, "word": " من", "probability": 0.94580078125}, {"start": 46.25, "end": 46.57, "word": " خلال", "probability": 0.9894205729166666}, {"start": 46.57, "end": 46.69, "word": " أن", "probability": 0.55078125}, {"start": 46.69, "end": 47.17, "word": " نستطيع", "probability": 0.8448486328125}, {"start": 47.17, "end": 47.65, "word": " إيجاد", "probability": 0.928955078125}, {"start": 47.65, "end": 47.97, "word": " حل", "probability": 0.8046875}, {"start": 47.97, "end": 48.39, "word": " العام", "probability": 0.7161865234375}, {"start": 48.39, "end": 49.11, "word": " لمعادلة", "probability": 0.926513671875}, {"start": 49.11, "end": 49.95, "word": " تفضلية", "probability": 0.92373046875}, {"start": 49.95, "end": 50.83, "word": " إذا", "probability": 0.965087890625}, {"start": 50.83, "end": 51.41, "word": " عرفنا", "probability": 0.9713541666666666}, {"start": 51.41, "end": 51.77, "word": " أحد", "probability": 0.92578125}, {"start": 51.77, "end": 52.37, "word": " حلولها", "probability": 0.9951171875}], "temperature": 1.0}, {"id": 3, "seek": 8172, "start": 53.8, "end": 81.72, "text": "أهداف المحاضرة تتلخص أهداف المحاضرة في الأهداف التالية 1. يوجد الطالب الجذور المكررة للـ Characteristic Equation 2. يتعرف الطالب على الحل العام لمعادة تفاضلية من درجات ثانية عندما تكون الجذور مكررة 3. يطبق الطالب طريق اختزال الرتبة لإيجاد الحل العام لمعادلة التفاضلية 4. يحل الطالب مسائل متنوعة على الموضوع", "tokens": [10721, 3224, 28259, 5172, 9673, 5016, 46958, 25720, 6055, 2655, 1211, 9778, 9381, 5551, 3224, 28259, 5172, 9673, 5016, 46958, 25720, 8978, 16247, 3224, 28259, 5172, 16712, 6027, 10632, 502, 13, 7251, 29245, 3215, 41950, 6027, 3555, 25724, 8848, 13063, 9673, 37983, 25720, 24976, 39184, 36786, 3142, 15624, 399, 568, 13, 7251, 2655, 3615, 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"probability": 0.892333984375}, {"start": 76.56, "end": 77.38, "word": " التفاضلية", "probability": 0.96259765625}, {"start": 77.38, "end": 79.12, "word": " 4.", "probability": 0.9267578125}, {"start": 79.2, "end": 79.48, "word": " يحل", "probability": 0.9698893229166666}, {"start": 79.48, "end": 79.96, "word": " الطالب", "probability": 0.9964192708333334}, {"start": 79.96, "end": 80.44, "word": " مسائل", "probability": 0.9558919270833334}, {"start": 80.44, "end": 80.94, "word": " متنوعة", "probability": 0.92431640625}, {"start": 80.94, "end": 81.12, "word": " على", "probability": 0.8544921875}, {"start": 81.12, "end": 81.72, "word": " الموضوع", "probability": 0.998291015625}], "temperature": 1.0}, {"id": 4, "seek": 11449, "start": 86.63, "end": 114.49, "text": "درسنا في section 3.1 و3.4 حلول معادة فضولية كما في المعادة الرقم 1 فهي معادة فضولية من الدرجة التانية خطية والـ coefficient ثوابت A وB وC وHomogeneous فكان الحل يعتمد على جذور الـ characteristic equation فإذا كان مميز أكبر من سفر فإنه سيكون عندنا الجدرعين الحقيقية المختلفين", "tokens": [3215, 2288, 3794, 8315, 8978, 3541, 805, 13, 16, 4032, 18, 13, 19, 11331, 1211, 12610, 20449, 18513, 3660, 6156, 11242, 12610, 10632, 9122, 15042, 8978, 9673, 3615, 18513, 3660, 34892, 4587, 2304, 502, 6156, 3224, 1829, 20449, 18513, 3660, 6156, 11242, 12610, 10632, 9154, 32748, 47341, 3660, 16712, 7649, 10632, 16490, 9566, 10632, 16070, 39184, 17619, 38637, 14407, 3555, 2655, 316, 4032, 33, 4032, 34, 4032, 39, 298, 31112, 6156, 41361, 21542, 1211, 7251, 34268, 2304, 3215, 15844, 10874, 8848, 13063, 2423, 39184, 16282, 5367, 6156, 28814, 15730, 25961, 3714, 2304, 1829, 11622, 5551, 4117, 26890, 9154, 8608, 5172, 2288, 6156, 28814, 1863, 3224, 8608, 1829, 30544, 43242, 8315, 25724, 3215, 2288, 3615, 9957, 21542, 38436, 4587, 10632, 9673, 46456, 46538, 9957], "avg_logprob": -0.22895665659058478, "compression_ratio": 1.6273062730627306, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 86.63, "end": 87.23, "word": 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"temperature": 1.0}, {"id": 5, "seek": 14141, "start": 115.39, "end": 141.41, "text": "وإذا كان المميز يساوي أقل من سفر فإنه سيكون عندنا جذور مُركّبة للـ Characteristic Equation في هذه الحالة اليوم سندرس الحالة الثالثة وهي عندما يكون الميز يساوي سفر فبالتالي سيكون عندنا جدر واحد فقط أي أنه سيكون الجدرين مكررين جدر واحد عندنا لهذه المعادلة في هذه الحالة", "tokens": [2407, 28814, 15730, 25961, 9673, 2304, 1829, 11622, 7251, 3794, 995, 45865, 5551, 4587, 1211, 9154, 8608, 5172, 2288, 6156, 28814, 1863, 3224, 8608, 1829, 30544, 43242, 8315, 10874, 8848, 13063, 3714, 10859, 31747, 11703, 49401, 24976, 39184, 36786, 3142, 15624, 399, 8978, 29538, 21542, 6027, 3660, 45595, 20498, 8608, 41260, 2288, 3794, 21542, 6027, 3660, 6024, 104, 6027, 12984, 3660, 37037, 1829, 43242, 15042, 7251, 30544, 9673, 1829, 11622, 7251, 3794, 995, 45865, 8608, 5172, 2288, 6156, 3555, 6027, 2655, 6027, 1829, 8608, 1829, 30544, 43242, 8315, 10874, 3215, 2288, 36764, 24401, 6156, 47432, 36632, 14739, 3224, 8608, 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{"start": 483.94, "end": 484.1, "word": " لم", "probability": 0.63134765625}, {"start": 484.1, "end": 484.26, "word": " لا", "probability": 0.1842041015625}, {"start": 484.26, "end": 484.98, "word": " يساوي", "probability": 0.947509765625}, {"start": 484.98, "end": 485.56, "word": " الصفر", "probability": 0.9853515625}, {"start": 485.56, "end": 486.64, "word": " لأنه", "probability": 0.8274739583333334}, {"start": 486.64, "end": 486.92, "word": " بالنسبالي", "probability": 0.609375}, {"start": 486.92, "end": 487.08, "word": " لا", "probability": 0.39453125}, {"start": 487.08, "end": 487.38, "word": " يساوي", "probability": 0.957763671875}, {"start": 487.38, "end": 487.66, "word": " الصفر", "probability": 0.9736328125}, {"start": 487.66, "end": 488.02, "word": " إذن", "probability": 0.6946614583333334}, {"start": 488.02, "end": 488.52, "word": " Y1", "probability": 0.44744873046875}, {"start": 488.52, "end": 489.02, "word": " وY2", "probability": 0.8662109375}, {"start": 489.02, "end": 489.38, "word": " هي", "probability": 0.4326171875}, {"start": 489.38, "end": 489.72, "word": " الاستخدامات", "probability": 0.6119384765625}, {"start": 489.72, "end": 489.72, "word": " الأساسية", "probability": 0.78680419921875}, {"start": 489.72, "end": 491.0, "word": " وبالتالي", "probability": 0.8414103190104166}, {"start": 491.0, "end": 491.6, "word": " نستطيع", "probability": 0.8067626953125}, {"start": 491.6, "end": 491.72, "word": " أن", "probability": 0.340576171875}, {"start": 491.72, "end": 492.0, "word": " نكتب", "probability": 0.958740234375}, {"start": 492.0, "end": 492.66, "word": " الـGeneral", "probability": 0.4552408854166667}, {"start": 492.66, "end": 493.14, "word": " solution", "probability": 0.2352294921875}, {"start": 493.14, "end": 493.56, "word": " differential", "probability": 0.36279296875}, {"start": 493.56, "end": 494.0, "word": " equation", "probability": 0.9833984375}, {"start": 494.0, "end": 494.3, "word": " 1", "probability": 0.7626953125}, {"start": 494.3, "end": 494.78, "word": " بالصورة", "probability": 0.9398193359375}, {"start": 494.78, "end": 495.04, "word": " هذه", "probability": 0.8779296875}], "temperature": 1.0}, {"id": 21, "seek": 51216, "start": 495.79, "end": 512.17, "text": "Y بيساوي C1 في E والسادة بي على 2A في T زي C2 في T في E والسادة بي على 2A في T وهي ان احصلنا على general solution differential equation في حال ما تكون ال characteristic equation لها جذر واحد يعني عندنا المميز يساوي صفر", "tokens": [56, 4724, 1829, 3794, 995, 45865, 383, 16, 8978, 462, 16070, 3794, 18513, 3660, 4724, 1829, 15844, 568, 32, 8978, 314, 30767, 1829, 383, 17, 8978, 314, 8978, 462, 16070, 3794, 18513, 3660, 4724, 1829, 15844, 568, 32, 8978, 314, 37037, 1829, 16472, 1975, 5016, 36520, 8315, 15844, 2674, 3827, 15756, 5367, 8978, 11331, 6027, 19446, 6055, 30544, 2423, 16282, 5367, 5296, 11296, 10874, 8848, 2288, 36764, 24401, 37495, 22653, 43242, 8315, 9673, 2304, 1829, 11622, 7251, 3794, 995, 45865, 20328, 5172, 2288], "avg_logprob": 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{"start": 507.53, "end": 508.01, "word": " characteristic", "probability": 0.578125}, {"start": 508.01, "end": 508.55, "word": " equation", "probability": 0.94873046875}, {"start": 508.55, "end": 508.89, "word": " لها", "probability": 0.922119140625}, {"start": 508.89, "end": 509.19, "word": " جذر", "probability": 0.9820963541666666}, {"start": 509.19, "end": 509.73, "word": " واحد", "probability": 0.89892578125}, {"start": 509.73, "end": 510.11, "word": " يعني", "probability": 0.724853515625}, {"start": 510.11, "end": 510.83, "word": " عندنا", "probability": 0.6971435546875}, {"start": 510.83, "end": 511.33, "word": " المميز", "probability": 0.976806640625}, {"start": 511.33, "end": 511.85, "word": " يساوي", "probability": 0.8970947265625}, {"start": 511.85, "end": 512.17, "word": " صفر", "probability": 0.83447265625}], "temperature": 1.0}, {"id": 22, "seek": 53941, "start": 515.48, "end": 539.42, "text": "فكيف نعمل نعوض في الحل الأول نستخدم الجدر المعروف عنه الحل التاني هو نفس الحل الأول بس مضروف في T الحل الأول مضروف في T الآن سنطبق بعض الأمثل على الموضوع Example 1 Find the general solution of the differential equation yw prime أربعة y prime زي أربعة y بيسوء Zero", "tokens": [5172, 4117, 33911, 8717, 25957, 1211, 8717, 3615, 2407, 11242, 8978, 21542, 1211, 16247, 12610, 8717, 14851, 9778, 40448, 25724, 3215, 2288, 9673, 3615, 32887, 5172, 18871, 3224, 21542, 1211, 16712, 7649, 1829, 31439, 8717, 36178, 21542, 1211, 16247, 12610, 4724, 3794, 3714, 11242, 32887, 5172, 8978, 314, 21542, 1211, 16247, 12610, 3714, 11242, 32887, 5172, 8978, 314, 6024, 48506, 8608, 1863, 9566, 3555, 4587, 45030, 11242, 16247, 2304, 12984, 1211, 15844, 9673, 2407, 11242, 45367, 24755, 781, 502, 11809, 264, 2674, 3827, 295, 264, 15756, 5367, 288, 86, 5835, 5551, 25513, 27884, 288, 5835, 30767, 1829, 5551, 25513, 27884, 288, 4724, 1829, 3794, 2407, 38207, 17182], "avg_logprob": -0.3046875055189486, "compression_ratio": 1.6778242677824269, "no_speech_prob": 1.1920928955078125e-07, "words": 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521.94, "end": 522.08, "word": " هو", "probability": 0.9521484375}, {"start": 522.08, "end": 522.28, "word": " نفس", "probability": 0.98046875}, {"start": 522.28, "end": 522.54, "word": " الحل", "probability": 0.978759765625}, {"start": 522.54, "end": 522.82, "word": " الأول", "probability": 0.936279296875}, {"start": 522.82, "end": 523.02, "word": " بس", "probability": 0.770751953125}, {"start": 523.02, "end": 523.36, "word": " مضروف", "probability": 0.9693603515625}, {"start": 523.36, "end": 523.48, "word": " في", "probability": 0.77685546875}, {"start": 523.48, "end": 524.18, "word": " T", "probability": 0.66748046875}, {"start": 524.18, "end": 524.78, "word": " الحل", "probability": 0.7396240234375}, {"start": 524.78, "end": 525.04, "word": " الأول", "probability": 0.984130859375}, {"start": 525.04, "end": 525.38, "word": " مضروف", "probability": 0.991943359375}, {"start": 525.38, "end": 525.5, "word": " في", "probability": 0.935546875}, {"start": 525.5, "end": 526.06, "word": " T", "probability": 0.97021484375}, {"start": 526.06, "end": 526.7, "word": " الآن", "probability": 0.5191650390625}, {"start": 526.7, "end": 527.34, "word": " سنطبق", "probability": 0.894921875}, {"start": 527.34, "end": 528.06, "word": " بعض", "probability": 0.91162109375}, {"start": 528.06, "end": 528.42, "word": " الأمثل", "probability": 0.909912109375}, {"start": 528.42, "end": 528.62, "word": " على", "probability": 0.79541015625}, {"start": 528.62, "end": 529.36, "word": " الموضوع", "probability": 0.9830322265625}, {"start": 529.36, "end": 532.0, "word": " Example", "probability": 0.53515625}, {"start": 532.0, "end": 532.58, "word": " 1", "probability": 0.83154296875}, {"start": 532.58, "end": 533.16, "word": " Find", "probability": 0.497802734375}, {"start": 533.16, "end": 533.34, "word": " the", "probability": 0.83837890625}, {"start": 533.34, "end": 533.58, "word": " general", "probability": 0.6474609375}, {"start": 533.58, "end": 534.02, "word": " solution", "probability": 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coefficient مش فارضينا انها ثوابت فممكن يكونوا اي اشي غير ثوابت لانه كانوا ثوابت هنحلهم بالطريقة السابقة بدون ما نعرف اي حلول هنجيب الحلين زي ما درسنا في", "tokens": [5172, 1863, 5172, 2655, 43042, 14739, 3224, 8978, 11331, 1211, 9673, 3615, 18513, 37977, 12602, 4587, 2304, 5551, 25513, 27884, 4724, 40228, 28480, 21542, 1211, 4032, 9566, 1211, 34268, 4032, 23557, 2423, 17619, 37893, 6156, 9640, 11242, 1829, 8315, 16472, 11296, 38637, 14407, 3555, 2655, 6156, 2304, 43020, 7251, 30544, 14407, 1975, 1829, 1975, 8592, 1829, 32771, 13546, 38637, 14407, 3555, 2655, 5296, 7649, 3224, 25961, 14407, 38637, 14407, 3555, 2655, 8032, 1863, 5016, 1211, 16095, 20666, 9566, 16572, 28671, 21136, 16758, 28671, 47525, 11536, 19446, 8717, 3615, 28480, 1975, 1829, 11331, 1211, 12610, 8032, 1863, 7435, 1829, 3555, 21542, 1211, 9957, 30767, 1829, 19446, 11778, 2288, 3794, 8315, 8978], "avg_logprob": -0.3659909963607788, "compression_ratio": 1.7327188940092166, "no_speech_prob": 0.0, "words": [{"start": 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"probability": 0.76220703125}, {"start": 1456.87, "end": 1457.13, "word": " بديه", "probability": 0.64697265625}, {"start": 1457.13, "end": 1457.69, "word": " مشتقته", "probability": 0.8851318359375}, {"start": 1457.69, "end": 1457.89, "word": " هي", "probability": 0.2281494140625}, {"start": 1457.89, "end": 1458.47, "word": " مشتقته", "probability": 0.98291015625}, {"start": 1458.47, "end": 1458.67, "word": " يعني", "probability": 0.58050537109375}, {"start": 1458.67, "end": 1458.89, "word": " X", "probability": 0.92822265625}, {"start": 1458.89, "end": 1459.19, "word": " cosine", "probability": 0.64794921875}, {"start": 1459.19, "end": 1459.41, "word": " X", "probability": 0.9833984375}, {"start": 1459.41, "end": 1459.85, "word": " تربيع", "probability": 0.9440104166666666}, {"start": 1459.85, "end": 1460.63, "word": " او", "probability": 0.6671142578125}, {"start": 1460.63, "end": 1460.93, "word": " B", "probability": 0.8486328125}, {"start": 1460.93, "end": 1461.81, "word": " انها", "probability": 0.7001953125}, {"start": 1461.81, "end": 1462.39, "word": " هتساوي", "probability": 0.857421875}, {"start": 1462.39, "end": 1463.93, "word": " سالب", "probability": 0.6932779947916666}, {"start": 1463.93, "end": 1464.47, "word": " معامل", "probability": 0.7721354166666666}, {"start": 1464.47, "end": 1466.29, "word": " Y", "probability": 0.51953125}, {"start": 1466.29, "end": 1466.67, "word": " prime", "probability": 0.87890625}, {"start": 1466.67, "end": 1466.83, "word": " هي", "probability": 0.194580078125}, {"start": 1466.83, "end": 1467.17, "word": " سالب", "probability": 0.9026692708333334}, {"start": 1467.17, "end": 1467.57, "word": " واحد", "probability": 0.787353515625}], "temperature": 1.0}, {"id": 61, "seek": 149731, "start": 1468.09, "end": 1497.31, "text": "مجسم على معامل y''x يعني سلب وحدة الـx سلب وحدة الـx وانتبهوا للإشارة السلب لا تنسوه لأن في كتير بياخد على إن واحد تبعد على الـx وهذا بيجعل كل حسابات خاطئة ويعجب السؤال فسلب وحدة الـx نعود في هذه 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"probability": 0.35986328125}, {"start": 1517.22, "end": 1518.76, "word": " الحلقة", "probability": 0.433349609375}, {"start": 1518.76, "end": 1520.02, "word": " فسأعود", "probability": 0.572119140625}, {"start": 1520.02, "end": 1520.42, "word": " هنا", "probability": 0.75927734375}], "temperature": 1.0}, {"id": 63, "seek": 155182, "start": 1522.46, "end": 1551.82, "text": "في هذه الفرضية في المعادلة التفاضلية لها عشان أعوض لازم أجيب المشتقة الأولى و أجيب المشتقة التانية و أعمل حسابات بصلة هذه لكن اللي عرفها على طول بصلة مباشرة فلننحل هذه المعادلة فهذه التعويضة تصبح معادلة بصورة واضحة أمامنا VW prime تساوي سالب أربع X كزين X تربيع على سان X تربيع زاد واحد على X V prime", "tokens": [41185, 29538, 27188, 43042, 10632, 8978, 9673, 3615, 18513, 37977, 16712, 5172, 46958, 1211, 10632, 5296, 11296, 6225, 8592, 7649, 5551, 3615, 2407, 11242, 5296, 31377, 2304, 5551, 7435, 1829, 3555, 9673, 8592, 2655, 28671, 16247, 12610, 7578, 4032, 5551, 7435, 1829, 3555, 9673, 8592, 2655, 28671, 16712, 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1662.73, "end": 1691.99, "text": "زي السبب الـ C2 هى طلعنا V نرجع الـ General solution هو يسوي V تجيب منها مضروبة في Y واحد المعطف في السؤال فبساوي هيها V والمعطف Sine X تربيع اختصارات إذا نضرب Sine X تربيع في الكتان الكتان هى Cos على Sine فبتروح مع Sine بيبقى Cos بس Cos X تربيع فهى سالب نص C1 بنحط هنا وC2 في Sine X تربيع حيوان طبعا هذا اللى هو الحل العام", "tokens": [11622, 1829, 21136, 3555, 3555, 2423, 39184, 383, 17, 8032, 7578, 23032, 1211, 3615, 8315, 691, 8717, 47341, 3615, 2423, 39184, 6996, 3827, 31439, 7251, 3794, 45865, 691, 6055, 7435, 1829, 3555, 9154, 11296, 3714, 11242, 32887, 49401, 8978, 398, 36764, 24401, 9673, 3615, 9566, 5172, 8978, 21136, 33604, 6027, 6156, 3555, 3794, 995, 45865, 39896, 11296, 691, 16070, 2304, 3615, 9566, 5172, 318, 533, 1783, 6055, 2288, 21292, 3615, 1975, 46456, 9381, 9640, 9307, 11933, 15730, 8717, 11242, 25513, 318, 533, 1783, 6055, 2288, 21292, 3615, 8978, 33251, 2655, 7649, 33251, 2655, 7649, 8032, 7578, 15855, 15844, 318, 533, 6156, 3555, 2655, 32887, 5016, 20449, 318, 533, 4724, 1829, 3555, 4587, 7578, 15855, 4724, 3794, 15855, 1783, 6055, 2288, 21292, 3615, 6156, 3224, 7578, 8608, 6027, 3555, 8717, 9381, 383, 16, 44945, 5016, 9566, 34105, 4032, 34, 17, 8978, 318, 533, 1783, 6055, 2288, 21292, 3615, 11331, 1829, 2407, 7649, 23032, 3555, 3615, 995, 23758, 13672, 7578, 31439, 21542, 1211, 18863, 10943], "avg_logprob": -0.3340320200091455, "compression_ratio": 1.8339222614840989, "no_speech_prob": 1.150369644165039e-05, "words": [{"start": 1662.73, "end": 1663.11, "word": "زي", "probability": 0.3736572265625}, {"start": 1663.11, "end": 1663.79, "word": " السبب", "probability": 0.8681640625}, {"start": 1663.79, "end": 1663.95, "word": " الـ", "probability": 0.52850341796875}, {"start": 1663.95, "end": 1664.41, "word": " C2", "probability": 0.656494140625}, {"start": 1664.41, "end": 1664.99, "word": " هى", "probability": 0.222259521484375}, {"start": 1664.99, "end": 1665.35, "word": " طلعنا", "probability": 0.707763671875}, {"start": 1665.35, "end": 1665.57, "word": " V", "probability": 0.57275390625}, {"start": 1665.57, "end": 1666.09, "word": " نرجع", "probability": 0.818359375}, {"start": 1666.09, "end": 1666.19, "word": " الـ", "probability": 0.40087890625}, {"start": 1666.19, "end": 1666.35, "word": " General", "probability": 0.58642578125}, {"start": 1666.35, "end": 1666.69, "word": " solution", "probability": 0.76123046875}, {"start": 1666.69, "end": 1667.01, "word": " هو", "probability": 0.47607421875}, {"start": 1667.01, "end": 1667.53, "word": " يسوي", "probability": 0.8037109375}, {"start": 1667.53, "end": 1667.69, "word": " V", "probability": 0.89599609375}, {"start": 1667.69, "end": 1667.99, "word": " تجيب", "probability": 0.77227783203125}, {"start": 1667.99, "end": 1668.21, "word": " منها", "probability": 0.640380859375}, {"start": 1668.21, "end": 1668.61, "word": " مضروبة", "probability": 0.7412109375}, {"start": 1668.61, "end": 1668.85, "word": " في", "probability": 0.9375}, {"start": 1668.85, "end": 1669.69, "word": " Y", "probability": 0.8310546875}, {"start": 1669.69, "end": 1670.03, "word": " واحد", "probability": 0.752685546875}, {"start": 1670.03, "end": 1670.31, "word": " المعطف", "probability": 0.7108154296875}, {"start": 1670.31, "end": 1670.45, "word": " في", "probability": 0.56201171875}, {"start": 1670.45, "end": 1671.61, "word": " السؤال", "probability": 0.99658203125}, {"start": 1671.61, "end": 1672.27, "word": " فبساوي", "probability": 0.85615234375}, {"start": 1672.27, "end": 1672.65, "word": " هيها", "probability": 0.4783935546875}, {"start": 1672.65, "end": 1672.91, "word": " V", "probability": 0.96435546875}, {"start": 1672.91, "end": 1674.47, "word": " والمعطف", "probability": 0.842529296875}, {"start": 1674.47, "end": 1674.69, "word": " Sine", "probability": 0.30047607421875}, {"start": 1674.69, "end": 1674.83, "word": " X", "probability": 0.94677734375}, {"start": 1674.83, "end": 1675.29, "word": " تربيع", "probability": 0.7972412109375}, {"start": 1675.29, "end": 1676.55, "word": " اختصارات", "probability": 0.95478515625}, {"start": 1676.55, "end": 1676.81, "word": " إذا", "probability": 0.57244873046875}, {"start": 1676.81, "end": 1677.09, "word": " نضرب", "probability": 0.7366536458333334}, {"start": 1677.09, "end": 1677.47, "word": " Sine", "probability": 0.859619140625}, {"start": 1677.47, "end": 1677.83, "word": " X", "probability": 0.98876953125}, {"start": 1677.83, "end": 1678.13, "word": " تربيع", "probability": 0.958984375}, {"start": 1678.13, "end": 1678.29, "word": " في", "probability": 0.7802734375}, {"start": 1678.29, "end": 1678.99, "word": " الكتان", "probability": 0.548095703125}, {"start": 1678.99, "end": 1679.39, "word": " الكتان", "probability": 0.9425455729166666}, {"start": 1679.39, "end": 1679.53, "word": " هى", "probability": 0.6912841796875}, {"start": 1679.53, "end": 1679.87, "word": " Cos", "probability": 0.52783203125}, {"start": 1679.87, "end": 1680.59, "word": " على", "probability": 0.7138671875}, {"start": 1680.59, "end": 1681.19, "word": " Sine", "probability": 0.848876953125}, {"start": 1681.19, "end": 1681.87, "word": " فبتروح", "probability": 0.79228515625}, {"start": 1681.87, "end": 1682.03, "word": " مع", "probability": 0.9404296875}, {"start": 1682.03, "end": 1682.25, "word": " Sine", "probability": 0.6888427734375}, {"start": 1682.25, "end": 1682.39, "word": " بيبقى", "probability": 0.76318359375}, {"start": 1682.39, "end": 1682.87, "word": " Cos", "probability": 0.1851806640625}, {"start": 1682.87, "end": 1683.19, "word": " بس", "probability": 0.842041015625}, {"start": 1683.19, "end": 1683.55, "word": " Cos", "probability": 0.5341796875}, {"start": 1683.55, "end": 1683.89, "word": " X", "probability": 0.95947265625}, {"start": 1683.89, "end": 1684.43, "word": " تربيع", "probability": 0.9765625}, {"start": 1684.43, "end": 1685.09, "word": " فهى", "probability": 0.7386067708333334}, {"start": 1685.09, "end": 1685.41, "word": " سالب", "probability": 0.6394856770833334}, {"start": 1685.41, "end": 1685.81, "word": " نص", "probability": 0.97412109375}, {"start": 1685.81, "end": 1686.33, "word": " C1", "probability": 0.71875}, {"start": 1686.33, "end": 1686.77, "word": " بنحط", "probability": 0.8763020833333334}, {"start": 1686.77, "end": 1687.03, "word": " هنا", "probability": 0.2493896484375}, {"start": 1687.03, "end": 1688.33, "word": " وC2", "probability": 0.8522135416666666}, {"start": 1688.33, "end": 1688.67, "word": " في", "probability": 0.92431640625}, {"start": 1688.67, "end": 1689.17, "word": " Sine", "probability": 0.908447265625}, {"start": 1689.17, "end": 1689.29, "word": " X", "probability": 0.99609375}, {"start": 1689.29, "end": 1689.57, "word": " تربيع", "probability": 0.959716796875}, {"start": 1689.57, "end": 1689.97, "word": " حيوان", "probability": 0.69964599609375}, {"start": 1689.97, "end": 1690.63, "word": " طبعا", "probability": 0.8961181640625}, {"start": 1690.63, "end": 1690.91, "word": " هذا", "probability": 0.6279296875}, {"start": 1690.91, "end": 1691.19, "word": " اللى", "probability": 0.6875}, {"start": 1691.19, "end": 1691.35, "word": " هو", "probability": 0.96240234375}, {"start": 1691.35, "end": 1691.63, "word": " الحل", "probability": 0.989013671875}, {"start": 1691.63, "end": 1691.99, "word": " العام", "probability": 0.96484375}], "temperature": 1.0}, {"id": 69, "seek": 171695, "start": 1692.61, "end": 1716.95, "text": "عطاني صين X تربيع فالحل الجديد اللي وجدناه هو عبارة عن كزين X تربيع مافيش ده عنكتبت ثابت فY2 هو كزين X تربيع وهذا مثال تاني على طريقة reduction of order في الختام أشكركم لحسن استماعكم مع تمنياتي للجمهور التوفيق والسلام عليكم ورحمة الله وبركاته", "tokens": [3615, 9566, 7649, 1829, 20328, 9957, 1783, 6055, 25513, 40228, 6156, 6027, 5016, 1211, 25724, 16254, 3215, 13672, 1829, 49610, 3215, 8315, 3224, 31439, 6225, 3555, 9640, 3660, 18871, 9122, 11622, 9957, 1783, 6055, 25513, 40228, 19446, 41185, 8592, 11778, 3224, 18871, 4117, 2655, 3555, 2655, 38637, 16758, 2655, 6156, 56, 17, 31439, 9122, 11622, 9957, 1783, 6055, 25513, 40228, 37037, 15730, 50113, 6027, 6055, 7649, 1829, 15844, 23032, 16572, 28671, 11004, 295, 1668, 8978, 33962, 2655, 10943, 5551, 8592, 37983, 24793, 5296, 5016, 3794, 1863, 44713, 15042, 3615, 24793, 20449, 46811, 22653, 9307, 1829, 24976, 7435, 2304, 3224, 13063, 16712, 38688, 1829, 4587, 16070, 3794, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224], "avg_logprob": -0.24062499304612478, "compression_ratio": 1.7396694214876034, "no_speech_prob": 5.4836273193359375e-06, "words": [{"start": 1692.61, "end": 1693.19, "word": "عطاني", "probability": 0.8634033203125}, {"start": 1693.19, "end": 1693.55, "word": " صين", "probability": 0.4686279296875}, {"start": 1693.55, "end": 1693.71, "word": " X", "probability": 0.564453125}, {"start": 1693.71, "end": 1694.31, "word": " تربيع", "probability": 0.7464192708333334}, {"start": 1694.31, "end": 1695.65, "word": " فالحل", "probability": 0.7127685546875}, {"start": 1695.65, "end": 1696.01, "word": " الجديد", "probability": 0.8544921875}, {"start": 1696.01, "end": 1696.09, "word": " اللي", "probability": 0.85986328125}, {"start": 1696.09, "end": 1696.67, "word": " وجدناه", "probability": 0.8975830078125}, {"start": 1696.67, "end": 1696.95, "word": " هو", "probability": 0.73095703125}, {"start": 1696.95, "end": 1697.45, "word": " عبارة", "probability": 0.9100341796875}, {"start": 1697.45, "end": 1698.07, "word": " عن", "probability": 0.9853515625}, {"start": 1698.07, "end": 1698.51, "word": " كزين", "probability": 0.5169270833333334}, {"start": 1698.51, "end": 1698.69, "word": " X", "probability": 0.978515625}, {"start": 1698.69, "end": 1699.19, "word": " تربيع", "probability": 0.9518229166666666}, {"start": 1699.19, "end": 1699.93, "word": " مافيش", "probability": 0.7109375}, {"start": 1699.93, "end": 1700.03, "word": " ده", "probability": 0.5029296875}, {"start": 1700.03, "end": 1700.53, "word": " عنكتبت", "probability": 0.602001953125}, {"start": 1700.53, "end": 1701.07, "word": " ثابت", "probability": 0.9928385416666666}, {"start": 1701.07, "end": 1702.09, "word": " فY2", "probability": 0.6552734375}, {"start": 1702.09, "end": 1702.31, "word": " هو", "probability": 0.89208984375}, {"start": 1702.31, "end": 1702.77, "word": " كزين", "probability": 0.8025716145833334}, {"start": 1702.77, "end": 1702.93, "word": " X", "probability": 0.97705078125}, {"start": 1702.93, "end": 1703.37, "word": " تربيع", "probability": 0.9392903645833334}, {"start": 1703.37, "end": 1703.73, "word": " وهذا", "probability": 0.85400390625}, {"start": 1703.73, "end": 1704.09, "word": " مثال", "probability": 0.8408203125}, {"start": 1704.09, "end": 1704.41, "word": " تاني", "probability": 0.9352213541666666}, {"start": 1704.41, "end": 1704.59, "word": " على", "probability": 0.458740234375}, {"start": 1704.59, "end": 1704.85, "word": " طريقة", "probability": 0.8483072916666666}, {"start": 1704.85, "end": 1705.21, "word": " reduction", "probability": 0.8291015625}, {"start": 1705.21, "end": 1705.45, "word": " of", "probability": 0.90087890625}, {"start": 1705.45, "end": 1705.87, "word": " order", "probability": 0.734375}, {"start": 1705.87, "end": 1710.27, "word": " في", "probability": 0.6328125}, {"start": 1710.27, "end": 1710.87, "word": " الختام", "probability": 0.9480794270833334}, {"start": 1710.87, "end": 1711.61, "word": " أشكركم", "probability": 0.825439453125}, {"start": 1711.61, "end": 1711.91, "word": " لحسن", "probability": 0.6241455078125}, {"start": 1711.91, "end": 1712.75, "word": " استماعكم", "probability": 0.956787109375}, {"start": 1712.75, "end": 1713.43, "word": " مع", "probability": 0.72265625}, {"start": 1713.43, "end": 1713.99, "word": " تمنياتي", "probability": 0.863525390625}, {"start": 1713.99, "end": 1714.33, "word": " للجمهور", "probability": 0.76240234375}, {"start": 1714.33, "end": 1714.85, "word": " التوفيق", "probability": 0.937255859375}, {"start": 1714.85, "end": 1715.47, "word": " والسلام", "probability": 0.9031575520833334}, {"start": 1715.47, "end": 1715.83, "word": " عليكم", "probability": 0.971435546875}, {"start": 1715.83, "end": 1716.15, "word": " ورحمة", "probability": 0.983154296875}, {"start": 1716.15, "end": 1716.33, "word": " الله", "probability": 0.947265625}, {"start": 1716.33, "end": 1716.95, "word": " وبركاته", "probability": 0.9755859375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1718.694625, "duration_after_vad": 1654.3324999999963}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/pjOtwuUsB3c.srt b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/pjOtwuUsB3c.srt
new file mode 100644
index 0000000000000000000000000000000000000000..a8a5a10edb68fb72cae0a66471c8ca9fa0d0bb78
--- /dev/null
+++ b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/pjOtwuUsB3c.srt
@@ -0,0 +1,827 @@
+1
+00:00:03,090 --> 00:00:05,550
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:05,550 --> 00:00:09,710
+وبركاته عزيزي الطلاب في فيديو لمناقشة سيكشن خمسة
+
+3
+00:00:09,710 --> 00:00:13,310
+ثلاثة أنواع series solution near and ordinary
+
+4
+00:00:13,310 --> 00:00:20,370
+points part two في هذا ال section ندرس طريقة ثانية 
+
+5
+00:00:20,370 --> 00:00:24,010
+لإيجاد ال series solution وهو يعتمد على power series
+
+6
+00:00:24,010 --> 00:00:28,690
+ لمعادلة تفاضلية من الدرجة الثانية لكن هذه الطريقة أعم
+
+7
+00:00:28,690 --> 00:00:32,100
+من الطريقة في سيكشن خمسة اثنين لأن في 5.2 كان
+
+8
+00:00:32,100 --> 00:00:35,500
+يشترط أن معاملات المعادلة التفاضلية من الدرجة الثانية
+
+9
+00:00:35,500 --> 00:00:40,880
+يجب أن تكون polynomials وليس بينها عوامل مشتركة
+
+10
+00:00:40,880 --> 00:00:46,460
+لكن هذه الطريقة في section 2 تحلل أي سؤال ممكن تحل 
+
+11
+00:00:46,460 --> 00:00:48,860
+السؤال بهذه الطريقة لو في section 5.2  فيه لكن لو كانت
+
+12
+00:00:48,860 --> 00:00:52,540
+المعاملات ليست polynomials مثلاً لو كانت أي دالة 
+
+13
+00:00:52,540 --> 00:00:56,980
+أخرى فلازم أصلح لها بطريقة section 5.2 فقط بطريقة
+
+14
+00:00:56,980 --> 00:01:01,890
+خمسة اثنين الفكرة الأساسية لهذه الطريقة أننا باور
+
+15
+00:01:01,890 --> 00:01:04,870
+سيريز نجيب هذه الصورة ونفرضها بالحل لمعادلة 
+
+16
+00:01:04,870 --> 00:01:07,430
+summation of the answers of the infinity a r في x
+
+17
+00:01:07,430 --> 00:01:12,750
+ناقص x naught عندنا اللي هو نجيب ال coefficient في
+
+18
+00:01:12,750 --> 00:01:17,050
+خمسة اثنين كانت زيادة عن طريقة caress relation و
+
+19
+00:01:17,050 --> 00:01:20,150
+بعدين نجيب ال coefficient كلها تعتمد على a0 a1 هنا
+
+20
+00:01:20,150 --> 00:01:23,510
+في طريقة مختلفة تعتمد على هذه القاعدة ترجع للجانب 
+
+21
+00:01:23,510 --> 00:01:28,590
+الأخر عشان تشوف كيف أجد أن أي coefficient am ممكن
+
+22
+00:01:28,590 --> 00:01:31,810
+نجيبه في هذه القاعدة أن M factorial A M تساوي 
+
+23
+00:01:31,810 --> 00:01:38,410
+مستقل رقم M للي هي Y فمعوض فيها عند X0 و M تبدأ 0 1
+
+24
+00:01:38,410 --> 00:01:41,630
+من 3 إلى مالانهاية يعني لو حطينا ال M بسافر في ال DNA
+
+25
+00:01:41,630 --> 00:01:46,610
+أن Zero factorial في A0 يساوي Phi X0 منها بتطلع ال 
+
+26
+00:01:46,610 --> 00:01:51,130
+A0 على أنه بيساوي Y X0 بالمثل 1 factorial في A1
+
+27
+00:01:51,130 --> 00:01:54,090
+بيساوي Phi prime X0 ومنها بتطلع أن A1 بيساوي
+
+28
+00:01:54,090 --> 00:01:59,510
+المشتقة الأولى ل Y عند X0 نستمر في هذا الأسلوب 
+
+29
+00:01:59,510 --> 00:02:02,910
+بيظهر معناتين باكترون الـ 2 بيساوي المشتقة 
+
+30
+00:02:02,910 --> 00:02:06,750
+الثانية ل X0 فـ 3 باكترون الـ 2 بيساوي المشتقة
+
+31
+00:02:06,750 --> 00:02:12,850
+الثالثة ل X0 بيظهر أنه عن طريق المشتقات لـ Y أو في و
+
+32
+00:02:12,850 --> 00:02:16,990
+بنعوده لنقطة X0 بنطلعها وبعدين بتستخدمها القاعدة 
+
+33
+00:02:16,990 --> 00:02:23,210
+اللي هي هناخد مثال example واحد found that the
+
+34
+00:02:23,210 --> 00:02:27,070
+solution of the initial value problemyw prime زي
+
+35
+00:02:27,070 --> 00:02:31,530
+الـ sin xy prime زي الـ cos y بيساوي 0 و y0 بيساوي 0 و y
+
+36
+00:02:31,530 --> 00:02:34,290
+prime بيساوي 0 بيساوي 1 واضح أن هنا الـ x0 عند الـ 0
+
+37
+00:02:34,290 --> 00:02:39,270
+طبعاً أنا أتم حد طالب مني طالب يجيب لي عند a4 أو
+
+38
+00:02:39,270 --> 00:02:42,510
+كم ممكن يطلب بالإجابة هو five زي ما هان يطلب 
+
+39
+00:02:42,510 --> 00:02:46,350
+السؤال ترجع للكتابة ستجيب ويقولك طالب مني five
+
+40
+00:02:46,350 --> 00:02:50,890
+prime x0 five w prime x0 five triple x0 طبعاً
+
+41
+00:02:50,890 --> 00:02:54,550
+ما تجيبش الـ 3 بس تجيب اللى هو المشتقة لكن احنا
+
+42
+00:02:54,550 --> 00:02:57,950
+هنجيب اللى هو المشتقات و ال coefficients a and كلهم
+
+43
+00:02:57,950 --> 00:03:04,350
+لعند الـ 4 القاعدة اللي ذكرنا سابقاً هي M! a M
+
+44
+00:03:04,350 --> 00:03:08,130
+تساوي المشتقة رقم M عند ال X note و ال M يبقى 0 1
+
+45
+00:03:08,130 --> 00:03:14,570
+2 3 لما نهيأ نعوض لعند الـ 4 فنبدأ بالصفر 0! a0
+
+46
+00:03:14,570 --> 00:03:20,200
+يساوي ال 5 0 لأن هو المشتقة 0 لان الدالة من هنا
+
+47
+00:03:20,200 --> 00:03:23,540
+بيطلع a0 بيساوي فاي زيرو وفاي زيرو يعني عنده فيه
+
+48
+00:03:23,540 --> 00:03:29,520
+الـ y إذن أن a0 بيساوي y زيرو ومن الشروط هنا y0
+
+49
+00:03:29,520 --> 00:03:34,840
+بيساوي 0 يعني أنا عند a0 بيساوي 0 كلمة الـ 1 وكتوريال 
+
+50
+00:03:34,840 --> 00:03:42,550
+في a1 بيساوي فاي برينز زيرو منها A1 يصبح 5 prime 0
+
+51
+00:03:42,550 --> 00:03:49,010
+ومنها A1 يصبح Y prime 0 و Y prime 0 يصبح 1 عرفنا
+
+52
+00:03:49,010 --> 00:03:55,850
+اثنين عرفنا A0 يصبح Zero و A1 يصبح واحد عشان نجيب 
+
+53
+00:03:55,850 --> 00:04:00,350
+احنا اثنين واضح لازم نجيب المشتقة الثانية للـ 5
+
+54
+00:04:00,350 --> 00:04:04,250
+اللي هي المشتقة الثانية لـ Y وهي عند المشتقة الثانية 
+
+55
+00:04:04,250 --> 00:04:09,040
+لـ Y خلي نجلها على الطرف اليمين فبصير عندك
+
+56
+00:04:09,040 --> 00:04:13,080
+المشتقة الثانية الـ Y تساوي سالب ساين X Y ناقص كوزاين X
+
+57
+00:04:13,080 --> 00:04:18,780
+Y من المعادلة الأصلية فـ 5W' من الـ 0 هي نفس Y W' من
+
+58
+00:04:18,780 --> 00:04:22,420
+الـ 0 ونعوض بالـ 0 بالـ T نقطة 0 إذا نرجع للقاعدة 
+
+59
+00:04:22,420 --> 00:04:26,920
+2 بكتوريا في A2 تساوي 5W' X0 هذه القاعدة إذا نعوض 
+
+60
+00:04:26,920 --> 00:04:33,160
+A2 تساوي 1 2 بكتوريا في 5W' X0 ومنها المعوض 4 أنا 
+
+61
+00:04:33,160 --> 00:04:37,800
+عند a2 هو 1 2 3 الـ y'' هو 0 لأن الـ x0 عنده 0 و y''
+
+62
+00:04:37,800 --> 00:04:42,880
+هي y'' وحسبناها صفر بتطلع تساوي صفر لأن أنا عندنا a2
+
+63
+00:04:42,880 --> 00:04:50,440
+هو 0 عشان نجب a ثلاثة نجب المشتقة الثالثة فتربل
+
+64
+00:04:50,440 --> 00:04:53,960
+برايم نشتق
+
+65
+00:04:53,960 --> 00:04:58,100
+خان عندنا y'' نشتق هذه وعندنا هايو اشتقاق عادي من 
+
+66
+00:04:58,100 --> 00:05:01,480
+calculus ونتمحنك نسيب الصورة هذه 
+
+67
+00:05:10,200 --> 00:05:16,220
+نعود الـ x0 لـ 0 ونعود الـ y لـ 0 ونعود الـ y لـ 0
+
+68
+00:05:16,220 --> 00:05:27,040
+ونعود الـ y لـ 0 ونعود الـ y لـ 0 ونعود الـ y لـ 0 ونعود
+
+69
+00:05:27,040 --> 00:05:30,240
+الـ y لـ 0 ونعود الـ y لـ 0 ونعود الـ y لـ 0 ونعود الـ y
+
+70
+00:05:30,240 --> 00:05:30,280
+لـ 0 ونعود الـ y لـ 0 ونعود الـ y لـ 0 ونعود الـ y لـ 0
+
+71
+00:05:30,280 --> 00:05:30,320
+ونعود الـ y لـ 0 ونعود الـ
+
+72
+00:05:40,150 --> 00:05:43,370
+بنختصر مع ثلاثة كتوريا بيظهر الجواب يساوي سالب ثلث 
+
+73
+00:05:43,370 --> 00:05:48,890
+أي ثلاثة تساوي سالب ثلث في المثل عشان أجيب اللى هو a4
+
+74
+00:05:48,890 --> 00:05:53,670
+بدي أجيب مستقل رابع على الـ فاي مستقل رابع على الـ y
+
+75
+00:05:53,670 --> 00:06:01,060
+وعندي مستقل ثالث أو من هنا لجنان الأبسط مستقل هو
+
+76
+00:06:01,060 --> 00:06:04,880
+قاعدة من الكلكوليس وهي تظهر في هذه الصورة إذا كنا
+
+77
+00:06:04,880 --> 00:06:11,720
+نعود بالـ Zero فـ Phi أربعة للمشتق الرابع لـ Phi
+
+78
+00:06:11,720 --> 00:06:13,760
+عند الـ Zero للمشتق الرابع لـ Y عند الـ Zero
+
+79
+00:06:13,760 --> 00:06:17,440
+فتحسب إننا نعود بالـ X بالـ Zero وقطع الجواب بيساوي
+
+80
+00:06:17,440 --> 00:06:22,580
+Zero طبعاً Y Prime Zero و Y Zero من الشروط الموجودة 
+
+81
+00:06:22,580 --> 00:06:26,440
+عليك ومنها عندي إن الوجة أربعة فكترة في A4 بيساوي 
+
+82
+00:06:26,440 --> 00:06:28,920
+المشتق الرابع عند الـ Zero إذا الـ A4 سوية أربعة
+
+83
+00:06:28,920 --> 00:06:32,690
+فكترة في المشتق الرابع هو بتعود عن قيمته بصفر 
+
+84
+00:06:32,690 --> 00:06:40,530
+إذا هي طلع معناه a4 بصفر أيه اللحظة إن a0
+
+85
+00:06:40,530 --> 00:06:48,090
+بصفر و a1 بصفر و a2 بصفر E3-E3-E3-E3
+
+86
+00:06:48,090 --> 00:06:55,410
+-E3-E3
+
+87
+00:06:55,410 --> 00:07:09,470
+-E3-E3-E3-E3-E3-E3-E3-E3-E3-E3-E3-E3-E3-E3-E3-E3
+
+88
+00:07:09,470 --> 00:07:13,510
+-E3 فمعظم الأسئلة في كتابه طالب يجيب بس الـ file
+
+89
+00:07:13,510 --> 00:07:16,650
+المشتقات لكن هي كده نجيب أربع ال coefficients هي
+
+90
+00:07:16,650 --> 00:07:19,390
+كم تحل أي سؤال و الأمثلة في ال section الصادر 
+
+91
+00:07:19,390 --> 00:07:22,330
+خمسة اثنين بالحلو بهذه الطريقة لكن لو أجاك السؤال 
+
+92
+00:07:22,330 --> 00:07:25,870
+على خمسة اثنين الأفضل تاخد ال recurrence لحظة أنا
+
+93
+00:07:25,870 --> 00:07:29,830
+بنشتقها و المشكلة هي كل ما نشتق درجة أعلى نشتق 
+
+94
+00:07:29,830 --> 00:07:34,590
+بالطول الفكرة الثانية في ال section هذا هو إيجاد 
+
+95
+00:07:34,590 --> 00:07:37,790
+radius of convergence إن عارفين الحل بيطلع عندنا 
+
+96
+00:07:37,790 --> 00:07:40,790
+دايماً في ال power series بتاعة الـ 10 series واحدة 
+
+97
+00:07:40,790 --> 00:07:46,290
+مضروبة في a0 واحد مضروبة في a1 عشان نجيب اللي هو 
+
+98
+00:07:46,290 --> 00:07:50,370
+lower bound for the radius of convergence في عندنا 
+
+99
+00:07:50,370 --> 00:07:52,230
+حالتين إذا كانوا ال ... اللي هو ال coefficients
+
+100
+00:07:52,230 --> 00:07:57,730
+كلهم polynomial لدى المثال ففي اللي هو عن طريق ...
+
+101
+00:07:57,730 --> 00:08:01,210
+هنشوف اللي هو إيجاد المسافات بين ال ... اللي هو ال 
+
+102
+00:08:01,210 --> 00:08:03,250
+singular bonds هم ال singular bonds اللي بيخلقهم 
+
+103
+00:08:03,250 --> 00:08:08,930
+عامل y'' بيساوي 0 والنقاط اللي بيعطينيها أو لو كانوا
+
+104
+00:08:08,930 --> 00:08:13,750
+ليس Polynomials عن طريق الـ Taylor expansion نبدأ
+
+105
+00:08:13,750 --> 00:08:17,690
+الأول مثال Example 2 Determine a lower bound for 
+
+106
+00:08:17,690 --> 00:08:20,170
+the radius of convergence of the series solution
+
+107
+00:08:20,170 --> 00:08:23,870
+of the differential equation about x0 تساوي 0
+
+108
+00:08:23,870 --> 00:08:27,930
+about x0 تساوي سالب ناقص يعني هذا سؤال فرعين لكن نفس
+
+109
+00:08:27,930 --> 00:08:32,670
+الأسلوب هذه معتقدلية 1 زي x تربيع yWi مثلاً 2xy
+
+110
+00:08:32,670 --> 00:08:36,470
+prime زي 4x تربيع y تساوي 0 فالتلاعبات الـ 
+
+111
+00:08:36,470 --> 00:08:39,150
+coefficients كلهم Polynomial فالطريقة اللى بنقول 
+
+112
+00:08:39,150 --> 00:08:43,250
+احنا أنا عندي باخد الواحدة بالقاعد معامل واحدة 
+
+113
+00:08:43,250 --> 00:08:45,490
+الـ x تربيعه بيساوي الـ 0 عشان نطلع الـ single
+
+114
+00:08:45,490 --> 00:08:50,350
+bonds أنا عندي طلع الـ x بيساوي ذاته ناقص I فالفكرة
+
+115
+00:08:50,350 --> 00:08:53,590
+هنا إن نبدأ في الفرق الأول اللي هو x0 بيساوي الـ
+
+116
+00:08:53,590 --> 00:08:56,890
+Zero بدي نجيب بعد هدول اللي كتير عند الـ Zero وناخد
+
+117
+00:08:56,890 --> 00:09:02,860
+المسافة الأقل هذا X زيادة أو نفس I هذه complex 
+
+118
+00:09:02,860 --> 00:09:06,140
+number فالمسافات هم بيصير الـ complex plane
+
+119
+00:09:06,140 --> 00:09:09,060
+والمسافة بين أي نقطة في الـ complex plane ناخد 
+
+120
+00:09:09,060 --> 00:09:12,020
+الفرق بين الـ real part للإثنين بالربع و الـ
+
+121
+00:09:12,020 --> 00:09:15,760
+imaginary part بالربع وناخد مجموعة من تحت الجذر
+
+122
+00:09:15,760 --> 00:09:20,200
+التنبيه عندنا نبدأ مثلاً distance in the complex 
+
+123
+00:09:20,200 --> 00:09:24,860
+plane between ناخذ أول حاجة I و X not لـ 0 I هي
+
+124
+00:09:24,860 --> 00:09:28,760
+complex number الـ real part فيه 0 و الـ imaginary part
+
+125
+00:09:28,760 --> 00:09:33,040
+فيه 1 الـ 0 هي real number لكن برضه complex لأن كل 
+
+126
+00:09:33,040 --> 00:09:36,720
+real number هو complex فالـ real part فيه 0 و الـ
+
+127
+00:09:36,720 --> 00:09:40,060
+imaginary برضه 0 فانا اللي عند الـ ... اللي هو الـ real 
+
+128
+00:09:40,060 --> 00:09:43,480
+part 0 و أنا 0 بناخد الفرق بينهم 0 ناقص 0 كل تربيع
+
+129
+00:09:43,480 --> 00:09:47,440
+و الـ ... و الـ imaginary اللي هنا 1 و الـ real هنا 0
+
+130
+00:09:47,440 --> 00:09:50,480
+فبناخد 1 ناقص 0 كل تربيع إذا أنا أخذنا الفرق بين الـ 
+
+131
+00:09:50,480 --> 00:09:54,280
+real part الجزء الحقيقي من الـ complex number و أنا
+
+132
+00:09:54,280 --> 00:09:58,580
+أخذنا الجزء التخيلي من اللي هو الـ complex number 
+
+133
+00:09:58,910 --> 00:10:01,870
+جبنا الفرق بينهم و ربّعناه و فرق بينهم و ربّعناه
+
+134
+00:10:01,870 --> 00:10:05,630
+و ناخذ مجموعهم تحت الجذر التربيعي بطلع واحد في المثل 
+
+135
+00:10:05,630 --> 00:10:10,430
+في الباقية أمثلة هنأخذ في الثاني سالب I هنأخذ الـ
+
+136
+00:10:10,430 --> 00:10:14,030
+real بقى صفر و الـ imaginary سالب واحد و هنأخذ صفر 
+
+137
+00:10:14,030 --> 00:10:16,510
+الـ real و الـ imaginary صفر فهنأخذ صفر نأخذ صفر
+
+138
+00:10:16,510 --> 00:10:19,750
+ناقص بيه زي السالب واحد نأخذ صفر ناقص بيه تحت 
+
+139
+00:10:19,750 --> 00:10:22,730
+الجذر بطلع واحد فالطالع معظم المسافة بين الـ I و الصفر 
+
+140
+00:10:22,730 --> 00:10:25,330
+و السالب I و الصفر هي في الـ complex بينهم تساوي 
+
+141
+00:10:25,330 --> 00:10:31,600
+واحدة القاعدة هي أصغر واحدة فيهم فالـ minimum للواحدة
+
+142
+00:10:31,600 --> 00:10:35,040
+واحد هو واحد فإنا عند القصة الأولاني واحد الـ
+
+143
+00:10:35,040 --> 00:10:38,620
+middle الثانية هي فرق الحسابات السلبية نص سنخطر
+
+144
+00:10:38,620 --> 00:10:41,580
+البعض بين الـ i والسلبية نص وسيظهر بالـ middle
+
+145
+00:10:41,580 --> 00:10:47,740
+بالقرن عنا جذر 5 على 2 والسلبية i والسلبية نص سيظهر
+
+146
+00:10:47,740 --> 00:10:50,380
+بالقرن عنا جذر 5 على 2 إثنتين بالبعض فالـ minimum
+
+147
+00:10:50,380 --> 00:10:53,520
+فيهم أي واحدة فيهم جذر 5 على 2 في الحلقة الثانية
+
+148
+00:10:56,710 --> 00:11:01,870
+بنتقل إلى example ثلاثة مثل المطلوب السابق Can we
+
+149
+00:11:01,870 --> 00:11:05,070
+determine a series solution about x not equal to 
+
+150
+00:11:05,070 --> 00:11:07,290
+zero for the differential equation y w prime plus
+
+151
+00:11:07,290 --> 00:11:10,250
+sin x y prime plus 1 plus x squared y equal to zero
+
+152
+00:11:10,250 --> 00:11:13,630
+and if so what is the radius of convergence؟
+
+153
+00:11:13,630 --> 00:11:16,170
+فلاحظوا هذا اختلف عن السؤال السابق أن أنا عندي 
+
+154
+00:11:16,170 --> 00:11:19,110
+معامل y prime sin x مش polynomial فهنا لازم نرجع
+
+155
+00:11:19,110 --> 00:11:22,260
+لتاريخ expansion طبعاً بنتخلص من المعامل واضح بالبرامج
+
+156
+00:11:22,260 --> 00:11:25,060
+المؤاحسة بأن أنا آخذها بيو في x سمينا sin x وانتوا 
+
+157
+00:11:25,060 --> 00:11:27,800
+عاملين ال calculus دي عارفين أن sin x دائماً هي
+
+158
+00:11:27,800 --> 00:11:31,040
+Taylor series وconverge عند أي نقطة فبالتالي هيكون
+
+159
+00:11:31,040 --> 00:11:33,920
+عندها Taylor series about x0 وبالمثل بيو في x اللي
+
+160
+00:11:33,920 --> 00:11:36,140
+تساوي بولينوم اللي هي نواحي زي الاكس تربيع اللي هي
+
+161
+00:11:36,140 --> 00:11:38,800
+Taylor expansion حوالي أي نقطة هذا كل شغل من ال
+
+162
+00:11:38,800 --> 00:11:42,460
+calculus دي أنه شرط أن يكون قبل اشتغاله من أي قطبة
+
+163
+00:11:42,460 --> 00:11:46,460
+حوالينها وعندي ال sin قبل اشتغاله عند ال zero من 
+
+164
+00:11:46,460 --> 00:11:50,210
+أي قطبة والبولينوم نفس الشيء هنا conversion for
+
+165
+00:11:50,210 --> 00:11:54,810
+all x فبالتالي أنا عندي .. هيكون فيه dialogs فيه
+
+166
+00:11:54,810 --> 00:11:57,010
+هيكون عندي powers of any solution ده عادة الـ
+
+167
+00:11:57,010 --> 00:11:59,370
+partial equation حوالين صفر و rates of
+
+168
+00:11:59,370 --> 00:12:02,570
+conversion for all .. هي هتكون conversion for all
+
+169
+00:12:02,570 --> 00:12:09,070
+x وبالتالي روح تسوي ماله نهاية ناخذ
+
+170
+00:12:09,070 --> 00:12:12,510
+مثال رابع هو عبارة عن question سبعة في الكتاب صفحة
+
+171
+00:12:12,510 --> 00:12:19,500
+265 نرجع زي مثل اللي هو الجبل التانيلتر مع الـ 
+
+172
+00:12:19,500 --> 00:12:22,000
+lower bound for the rates of convergence of this
+
+173
+00:12:22,000 --> 00:12:24,720
+resolution of the differential equation about x0
+
+174
+00:12:24,720 --> 00:12:29,580
+equal to 0 about x0 equal to 2 نفس المثال هو
+
+175
+00:12:29,580 --> 00:12:33,360
+الثاني أنا عندي لعبت كوفيشن كلهم بالانوميال ناخذ
+
+176
+00:12:33,360 --> 00:12:37,520
+معامل y w prime واحد زي x تكعيب يساوي صفر بالحلله هو
+
+177
+00:12:37,520 --> 00:12:40,680
+مجموعة مكعبين بطاقة صورة هذه فx زي واحد يساوي صفر
+
+178
+00:12:40,680 --> 00:12:43,020
+يعني x تساوي سالب واحد والثاني معادلة من الدرجة
+
+179
+00:12:43,020 --> 00:12:45,800
+الثانية بنفسها تبقى قانون عام بيطلع معاه حلولها نص
+
+180
+00:12:45,800 --> 00:12:49,380
+زائد أو نقطة جذر ثلاثة على اثنين i فإنا عندي ثلاث
+
+181
+00:12:49,380 --> 00:12:52,040
+نقاط نبدأ نحسبه طالب حوالين صفر ناخذ الصفر
+
+182
+00:12:52,040 --> 00:12:55,320
+حوالين الصفر طبعاً هنحسب البعد بين السالب واحد
+
+183
+00:12:55,320 --> 00:12:59,720
+والصفر والواحد نص زي جذر ثلاث على اثنين i والنص ناخذ
+
+184
+00:12:59,720 --> 00:13:02,900
+جذر ثلاث على اثنين i وبنفس الشيء مثلاً كمان يتعلق ال X
+
+185
+00:13:02,900 --> 00:13:05,760
+هو سالب واحد وده ريال ال image اللي فيه الصفر
+
+186
+00:13:05,760 --> 00:13:09,440
+والريال فيه سالب واحد وده كل صفر صفر فالفرق بينهم
+
+187
+00:13:09,440 --> 00:13:13,120
+بيطلع واحد ولد ثاني حسبناه بيطلع هو الواحد 
+
+188
+00:13:13,120 --> 00:13:18,130
+والثالث واحد يعني البعد بينهم الصفر هو الصفر واحد أنا
+
+189
+00:13:18,130 --> 00:13:21,170
+عندي الـ Raw حسابه الـ minimum أزرع فيه في الثلاث
+
+190
+00:13:21,170 --> 00:13:24,670
+وثلاثة وأربعة فبطبيعة الحال حواليها أخذنا اثنين
+
+191
+00:13:24,670 --> 00:13:29,090
+البعـد بين السالب واحد والاثنين يديني ثلاثة البعد
+
+192
+00:13:29,090 --> 00:13:33,310
+بين النص يديني ثلاث على اثنين i والاثنين بيساوي جذر
+
+193
+00:13:33,310 --> 00:13:36,630
+ثلاثة لو حسبناها بيقعد أخذنا ريالها نص كل ريال
+
+194
+00:13:36,630 --> 00:13:40,760
+اثنين الفرق بينهم تنبيه هنقل جذر ثلاثة على اثنين و
+
+195
+00:13:40,760 --> 00:13:44,240
+هنقل جذر صفر على اثنين و هنقل جذر ثلاثة على اثنين
+
+196
+00:13:44,240 --> 00:13:47,160
+و هنقل جذر ثلاثة على اثنين و هنقل جذر ثلاثة على
+
+197
+00:13:47,160 --> 00:13:49,440
+اثنين و هنقل جذر ثلاثة على اثنين و هنقل جذر ثلاثة
+
+198
+00:13:49,440 --> 00:13:51,320
+على اثنين و هنقل جذر ثلاثة على اثنين و هنقل جذر
+
+199
+00:13:51,320 --> 00:13:55,680
+ثلاثة على اثنين و هنقل جذر ثلاثة على اثنين و هنقل
+
+200
+00:13:55,680 --> 00:13:58,560
+جذر ثلاثة على اثنين و هنقل جذر ثلاثة على اثنين و
+
+201
+00:13:58,560 --> 00:14:05,520
+هنقل جذر ثلاثة على اثنين و هنقل لكن دي اسلوب آخر
+
+202
+00:14:05,520 --> 00:14:08,100
+غير دراسته بخمس أو اثنين وهذا بينفع لكل الأسئلة
+
+203
+00:14:08,100 --> 00:14:11,080
+سواء كانت أو في شركة polynomial أو مش polynomial
+
+204
+00:14:11,080 --> 00:14:15,300
+أو كيف نجيب ال radius of convergence لل power
+
+205
+00:14:15,300 --> 00:14:18,100
+solution لل differential equation في نهاية هذا
+
+206
+00:14:18,100 --> 00:14:21,560
+الفيديو أتمنى لكم التطبيق السلام عليكم ورحمة الله
+
+207
+00:14:21,560 --> 00:14:22,180
+وبركاته
diff --git a/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/ysFR6nyItWo_raw.srt b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/ysFR6nyItWo_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..3178c54cf5bb43fe6334cea6ccd5ccb6033cdea2
--- /dev/null
+++ b/PL9fwy3NUQKwbgLldvLY0aGoh3l-f-Ass5/ysFR6nyItWo_raw.srt
@@ -0,0 +1,916 @@
+1
+00:00:01,010 --> 00:00:03,430
+بسم الله الرحمن الرحيم أعزائي الطلاب السلام عليكم
+
+2
+00:00:03,430 --> 00:00:08,130
+ورحمة الله وبركاته في تاريس جديد من دروس من مصحف
+
+3
+00:00:08,130 --> 00:00:11,630
+معادلات تفضلية عادية ووصلنا ل section 2-4
+
+4
+00:00:11,630 --> 00:00:14,250
+differences between linear and non-linear
+
+5
+00:00:14,250 --> 00:00:18,590
+equations فهذا ال section سندرس تحت أي شروط تكون
+
+6
+00:00:18,590 --> 00:00:22,410
+معادلة تفضلية خطية أو غير خطية إلى حل وحل واحد
+
+7
+00:00:22,410 --> 00:00:27,570
+كذلك سندرس نوع جديد من معادلة تفضلية قيمة حلها وهي
+
+8
+00:00:27,570 --> 00:00:33,440
+معادلة Bernoulliهنا اول نظرية خاصة بالـlinear
+
+9
+00:00:33,440 --> 00:00:37,820
+differential equation نقول 2,4,1 if the function P
+
+10
+00:00:37,820 --> 00:00:41,100
+and G are continuous in an open interval I
+
+11
+00:00:41,100 --> 00:00:46,040
+containing the point P0 then there exists a unique
+
+12
+00:00:46,040 --> 00:00:49,120
+function Y equal 5T satisfied with the
+
+13
+00:00:49,120 --> 00:00:50,960
+differential equation 1
+
+14
+00:01:02,410 --> 00:01:06,810
+هذه نظرية بتعطينا مدة انتقال انتقال انتقال انتقال
+
+15
+00:01:06,810 --> 00:01:09,650
+انتقال انتقال انتقال انتقال انتقال انتقال انتقال
+
+16
+00:01:09,650 --> 00:01:09,730
+انتقال انتقال انتقال انتقال انتقال انتقال انتقال
+
+17
+00:01:09,730 --> 00:01:09,730
+انتقال انتقال انتقال انتقال انتقال انتقال انتقال
+
+18
+00:01:09,730 --> 00:01:09,730
+انتقال انتقال انتقال انتقال انتقال انتقال انتقال
+
+19
+00:01:09,730 --> 00:01:09,730
+انتقال انتقال انتقال انتقال انتقال انتقال انتقال
+
+20
+00:01:09,730 --> 00:01:09,790
+انتقال انتقال انتقال انتقال انتقال انتقال انتقال
+
+21
+00:01:09,790 --> 00:01:19,970
+انتقال انتقال انتقال انتقال انتقال انتقال
+
+22
+00:01:19,970 --> 00:01:27,260
+انتمن هذه النظرية نستنتج في الملاحظة التالت سنتجين
+
+23
+00:01:27,260 --> 00:01:29,780
+ان هو existence and uniqueness ان هو وجود الحلوة
+
+24
+00:01:29,780 --> 00:01:37,760
+ان هو الحل واحد فالنظرية بتجد ان ال solution is
+
+25
+00:01:37,760 --> 00:01:41,720
+unique اذا اتحق الشرط اللي قلناها ان وجود فترة
+
+26
+00:01:41,720 --> 00:01:45,840
+تكون فيها المعاملات الـ BFT و GFT continuous تحتوى
+
+27
+00:01:45,840 --> 00:01:46,540
+ال initial point
+
+28
+00:01:49,430 --> 00:01:53,190
+وهي قد عطينا الفترة اللي فيها الحل هناخد أمثل
+
+29
+00:01:53,190 --> 00:01:55,830
+عليها find an interval in which the initial value
+
+30
+00:01:55,830 --> 00:01:59,750
+of the problem ty prime زي 2y بسوة 4t ترجح و y1
+
+31
+00:01:59,750 --> 00:02:02,990
+بسوة 2 has a unique solution هذه طبعا دي هي ال
+
+32
+00:02:02,990 --> 00:02:06,810
+equation هي ال first order نكتبها بصورة غالي y
+
+33
+00:02:06,810 --> 00:02:10,310
+prime زي 2y بسوة 4t قسمناها طبعا على t خلاص عشان
+
+34
+00:02:10,310 --> 00:02:14,390
+نخدم علامة y prime بسوة 1 بيفتير بسوة 2 على t هذا
+
+35
+00:02:14,390 --> 00:02:17,510
+المفصل على كل r بعد الصفر g of t بسوة 4t
+
+36
+00:02:17,510 --> 00:02:21,290
+continuous على كل rفالـ P of T and J of T يكونوا
+
+37
+00:02:21,290 --> 00:02:24,670
+continuous على التفاطع اللي هو تطلع الفترة اللي
+
+38
+00:02:24,670 --> 00:02:28,390
+يقول R معدل 0 إذا الفترة نسأل من 2 إلى 0 اتحاد من
+
+39
+00:02:28,390 --> 00:02:32,170
+0 لما للنهاية فعشان نوجد الفترة اللي فيها الحل ،
+
+40
+00:02:32,170 --> 00:02:35,110
+أنا فيها عند initial condition هنا في T0 بسوء 1
+
+41
+00:02:35,110 --> 00:02:40,390
+فنبحث عن الفترة من هذول اللي تكون فيها T0 بواحدة
+
+42
+00:02:40,390 --> 00:02:44,220
+تمامية تطلع هذه الفترة من 0 لما للنهايةأنا عندي
+
+43
+00:02:44,220 --> 00:02:47,920
+لأن T0 سوف تنتمى فترة من صفر لما نهيها وهذه الفترة
+
+44
+00:02:47,920 --> 00:02:51,420
+فيها الـP والـG متصلات تحتوي نقطة تقريبا حسب
+
+45
+00:02:51,420 --> 00:02:54,260
+الشروط النظرية الـinitial value problem has a
+
+46
+00:02:54,260 --> 00:02:57,060
+unique solution على فترة من صفر لما نهيها وهذه
+
+47
+00:02:57,060 --> 00:03:01,600
+أطول فترة تحتوي الـinitial value فمن كل أطول فترة
+
+48
+00:03:01,600 --> 00:03:04,560
+هي هذه الأطول فترة مفضلة سأقولها فورا لك لأن قبلنا
+
+49
+00:03:04,560 --> 00:03:07,240
+هينضم الصفر يكون الـP والـG المتصلات عندها
+
+50
+00:03:12,660 --> 00:03:15,840
+طبعا لو انا اخدت فترة مثلا من سفر مثلا افترض
+
+51
+00:03:15,840 --> 00:03:19,380
+لتلاتة فهي تحقق الشروط ان ال B و ال G يكون
+
+52
+00:03:19,380 --> 00:03:21,640
+متفاصلات و تحتوي ال initial part واحد لكنها بتكون
+
+53
+00:03:21,640 --> 00:03:26,410
+اكتر فترةأو سفر و عشر او يورو فترة لكن اطول فترة
+
+54
+00:03:26,410 --> 00:03:30,510
+ممكن تكون فيها problem هي الفترة من سفر لما لا
+
+55
+00:03:30,510 --> 00:03:32,570
+نهاية طبعا لو كانت السؤال find the longest
+
+56
+00:03:32,570 --> 00:03:36,270
+interval او find the interval سواء كانت طلب من
+
+57
+00:03:36,270 --> 00:03:39,710
+اطول فترة او فترة هو نحله هذه الفترة نجيب ال PNG و
+
+58
+00:03:39,710 --> 00:03:42,530
+نبحث عن مفاصلات مع بعض و بعدين ندور على ال initial
+
+59
+00:03:42,530 --> 00:03:48,360
+pointنشوف السؤال الثاني نفس المطلوب مقتل بفترة
+
+60
+00:03:48,360 --> 00:03:50,500
+اللي تكون فيها الحل لل initial value problem اللي
+
+61
+00:03:50,500 --> 00:03:50,920
+موجود
+
+62
+00:04:02,400 --> 00:04:07,920
+هو متصل على فترة من صفر لمدة نهاية مع دق أسفار
+
+63
+00:04:07,920 --> 00:04:11,240
+المفهوم لأن انجلين ال T المعرف على فترة من فترة من
+
+64
+00:04:11,240 --> 00:04:14,740
+صفر لمدة نهاية لأن انجلين ال T بساوي صفر عندما T
+
+65
+00:04:14,740 --> 00:04:18,020
+بساوي واحد، إذا نستخلنا الواحد، فتظهر فترة من صفر
+
+66
+00:04:18,020 --> 00:04:22,180
+لمدة واحد اتحاد لمدة نهايةناخد تاني الـ G of T هي
+
+67
+00:04:22,180 --> 00:04:28,120
+كتان الـ T على لن الـ T فهي متصلة على كل R معدى
+
+68
+00:04:28,120 --> 00:04:32,580
+أسفار المقام وعندها لن ال T متصلة على الفترة نصف
+
+69
+00:04:32,580 --> 00:04:36,760
+الملهية إذا ناخد التقاطة لفترة نصف الملهية معدى
+
+70
+00:04:36,760 --> 00:04:40,700
+أسفار المقام فأسفار المقام تيجي من أسفار لن ال T
+
+71
+00:04:40,700 --> 00:04:45,120
+التي عدل واحد عند سنة واحد أسفار الـ Sin عندي ال T
+
+72
+00:04:45,120 --> 00:04:48,680
+في الفترة نصف الملهية هي الـ Pi و2Pi و3Pi للملهية
+
+73
+00:04:49,190 --> 00:04:52,870
+هيجب ان تكون جيوفتي متصلة على فترة من سبل لما لا
+
+74
+00:04:52,870 --> 00:04:55,530
+نهاية من عدق الواحد لما لا نهاية الـPi و2Pi و3Pi
+
+75
+00:04:55,530 --> 00:04:57,650
+لما لا نهاية الـPi فهذه بيعطينا عدد النهائي من
+
+76
+00:04:57,650 --> 00:05:02,330
+الفترات فترة من سبل لواحد تحد من واحد لPi تحد من
+
+77
+00:05:02,330 --> 00:05:06,450
+2Pi ل2Pi تحد من 2Pi ل3Pi لما لا نهاية الـPi ننظر
+
+78
+00:05:06,450 --> 00:05:10,610
+الى الـ initial point T0 بساوة 2 تقع في الفترة من
+
+79
+00:05:10,610 --> 00:05:14,450
+واحد لPi اذا انا عندي اللي هو ال initial value of
+
+80
+00:05:14,450 --> 00:05:16,390
+a problem that has a unique solution في الفترة من
+
+81
+00:05:16,390 --> 00:05:17,070
+واحد لPi
+
+82
+00:05:20,100 --> 00:05:25,650
+هكذا خلصنا البرنامج بطريقة Linearالثورم 2.4.2
+
+83
+00:05:25,650 --> 00:05:29,510
+بيقولنا لو كان لدي نقطة نقدر من النقطة انه لدي
+
+84
+00:05:29,510 --> 00:05:31,990
+نقطة واحدة تقرر ليها y' أو f of t of y ده كان هذي
+
+85
+00:05:31,990 --> 00:05:36,430
+non linear لو فحص ال f اللي يتكون ومشتققة ال f
+
+86
+00:05:36,430 --> 00:05:39,210
+بالنسبة لل y وانا اشتغلها في جزء ايه لان انا اشتغل
+
+87
+00:05:39,210 --> 00:05:41,610
+في ال function f of t of y وانا اشتغلها بالنسبة لل
+
+88
+00:05:41,610 --> 00:05:45,610
+y فهي تبقى تابت تابت تابت تابت تابت تابت تابت تابت
+
+89
+00:05:45,610 --> 00:05:46,110
+تابت تابت تابت تابت تابت تابت تابت تابت تابت تابت
+
+90
+00:05:46,110 --> 00:05:50,710
+تابت تابت تابت تابت تابت تابت تابت تابت تابت تابت
+
+91
+00:05:50,900 --> 00:05:54,820
+بالنسبة للـ Dependent Variable Y فلو كانت متصلة
+
+92
+00:05:54,820 --> 00:05:57,620
+الـ F والباشر الـ F الباشر هو على ال rectangular
+
+93
+00:05:57,620 --> 00:06:01,740
+لو كنتي تتغيرتي من Alpha لBeta وY من Gamma لDelta
+
+94
+00:06:01,740 --> 00:06:04,720
+ويحتوى ال initial point اللي جامع الشارط انه P0
+
+95
+00:06:04,720 --> 00:06:09,240
+وY0 فبتكون انا عنده ال initial variable problem
+
+96
+00:06:09,240 --> 00:06:15,820
+هذه الـ Ax3 بشأنها هنأخد عليها أمثلة مثل ثلاثةأنا
+
+97
+00:06:15,820 --> 00:06:18,880
+باخد y prime يكون ثلاثة x كربير زي أربع x زي اتنين
+
+98
+00:06:18,880 --> 00:06:21,860
+على اتنين في y نقص واحد و y صفر يكون ثالث واحد
+
+99
+00:06:21,860 --> 00:06:25,100
+اتلاعب في f x و y ان ثلاثة x كربير زي أربع x زي
+
+100
+00:06:25,100 --> 00:06:29,000
+اتنين على اتنين في y نقص واحد وهذه ال function
+
+101
+00:06:29,000 --> 00:06:30,700
+متصلة على كل قيم x
+
+102
+00:06:35,330 --> 00:06:40,090
+هذا البرنامج مستقيم واي بساول واحد فان اشتغل
+
+103
+00:06:40,090 --> 00:06:45,010
+اكسابيات الاربعيس بالتانية على تانية ثابت
+
+104
+00:06:55,910 --> 00:07:09,090
+هذا الوضع متصل على كل DMX وكل DMY بعد Y بسبب
+
+105
+00:07:09,090 --> 00:07:09,270
+Y
+
+106
+00:07:17,140 --> 00:07:20,160
+بتلاعبوا في الـ initial point أن Y بيساوي سلب واحد
+
+107
+00:07:20,160 --> 00:07:23,240
+إذا كانت بعيدة عن الخط اللي فيه عدم اقتصاد
+
+108
+00:07:23,240 --> 00:07:27,080
+فبالتالي ال initial value of problem هتكون لها
+
+109
+00:07:27,080 --> 00:07:30,580
+unique solution فهذه الرسمة الفوضى هي عند البلايين
+
+110
+00:07:30,580 --> 00:07:34,840
+هي قيم X المفاصلة نحو الرصادات وY الخط المستقيم
+
+111
+00:07:34,840 --> 00:07:38,120
+اللي فيها مشكلة وY بيساوي واحد هتكون ال F وفاشل F
+
+112
+00:07:38,120 --> 00:07:41,490
+فعشان رمز مقتصدها تأني ذوالنقطة عند سفر السلة
+
+113
+00:07:41,490 --> 00:07:42,930
+الواحدة بعيدة عن نقطة السفر السالة الواحدة بعيدة
+
+114
+00:07:42,930 --> 00:07:43,130
+عن نقطة السفر السالة الواحدة بعيدة عن نقطة السفر
+
+115
+00:07:43,130 --> 00:07:43,710
+السالة الواحدة بعيدة عن نقطة السفر السالة الواحدة
+
+116
+00:07:43,710 --> 00:07:44,910
+بعيدة عن نقطة السفر السالة الواحدة بعيدة عن نقطة
+
+117
+00:07:44,910 --> 00:07:46,290
+السفر السالة الواحدة بعيدة عن نقطة السفر السالة
+
+118
+00:07:46,290 --> 00:07:48,490
+الواحدة بعيدة عن نقطة السفر السالة الواحدة بعيدة
+
+119
+00:07:48,490 --> 00:07:50,810
+عن نقطة السفر السالة الواحدة بعيدة عن نقطة السفر
+
+120
+00:07:50,810 --> 00:07:54,390
+السالة الواحدة بعيدة عن نقطة السفر السالة الواحدة
+
+121
+00:07:54,390 --> 00:07:56,310
+بعيدة عن نقطة السفر السالة الواحدة بعيدة عن نقط
+
+122
+00:07:57,380 --> 00:08:00,220
+الجزء الخارج من الsection يتكلم عن نوع خاص من
+
+123
+00:08:00,220 --> 00:08:03,140
+معادلات التطورية باسم Bernoulli equations وكيف
+
+124
+00:08:03,140 --> 00:08:06,640
+نحلها فكرة Bernoulli equation انها non linear
+
+125
+00:08:06,640 --> 00:08:11,480
+differential equation لكن نحولها لـlinear ونحللها
+
+126
+00:08:11,480 --> 00:08:13,320
+باستخدام ال integrating factor
+
+127
+00:08:16,610 --> 00:08:19,170
+الشكل عام لمعادلة Bernoulli يكون بالصورة هذه
+
+128
+00:08:19,170 --> 00:08:22,950
+المعادلة الرقم أربعة y prime زي g of t وy وطلع من
+
+129
+00:08:22,950 --> 00:08:27,450
+الطرف الشمال هو معادلة خطية يسوء g of t لكن هنا لو
+
+130
+00:08:27,450 --> 00:08:29,970
+كان الان اتوقف هناك واسيب معادلة خطية لكن مضروف y
+
+131
+00:08:29,970 --> 00:08:33,290
+مرفقه وان والان هذه اللي هي السفر والهيوة لأن لو
+
+132
+00:08:33,290 --> 00:08:35,710
+كانت الان سفر بدين خطية و لو كانت واحدة برضه بدين
+
+133
+00:08:35,710 --> 00:08:38,810
+خطية زي ما احنا نلاقي المواصفين اللي هنا فانا الآن
+
+134
+00:08:38,810 --> 00:08:41,870
+بسوء سفر بدين معادلة خطية وانا الآن بسوء واحد بدين
+
+135
+00:08:41,870 --> 00:08:45,440
+معادلة خطية هذهلكن عندما تكون أولا تصوّي سفر أو
+
+136
+00:08:45,440 --> 00:08:49,960
+واحد تصير أولا واي أس اثنين واي أس ثلاثة واي أس نص
+
+137
+00:08:49,960 --> 00:08:56,780
+فالفكرة
+
+138
+00:08:56,780 --> 00:09:02,450
+تحلها كيف تحلها؟أول خطوة ان نضرب في المعادلة الرقم
+
+139
+00:09:02,450 --> 00:09:07,230
+4 في y أسالب n عشان نكتبها في الصورة هذه نضرب
+
+140
+00:09:07,230 --> 00:09:11,150
+الطلابين هنا في y أسالب n بصيغة y أسالب n y prime
+
+141
+00:09:11,150 --> 00:09:14,470
+زي B of D في y وصول واحد نقص n بصوية g of D
+
+142
+00:09:18,800 --> 00:09:23,240
+لازم نعمل تحويلة انه نفترض متغير اسمه z variable
+
+143
+00:09:23,240 --> 00:09:30,420
+اسمه z اللي هو you say y plus 1 نقص n فزي
+
+144
+00:09:30,420 --> 00:09:33,680
+المشتقة z بالنسبة لل T بالاستفادة اللي هو share
+
+145
+00:09:33,680 --> 00:09:38,540
+role هو مشتقة z بالنسبة لل y مشتقة ال y بالنسبة لل
+
+146
+00:09:38,540 --> 00:09:43,060
+T مشتقة ال z بالنسبة لل y يعني 1 نقص n plus n
+
+147
+00:09:43,060 --> 00:09:49,810
+مشتقة ال z بالنسبة لل y بالنسبة لل Tعندي أنا في
+
+148
+00:09:49,810 --> 00:09:53,270
+المعادلة رقم خمسة y أساسي الـ 1000 في y' هو قررتها
+
+149
+00:09:53,270 --> 00:09:58,050
+لأ الـ y أساسي الـ 1000 في 1 يبقى y' فهي تساوي 1
+
+150
+00:09:58,050 --> 00:10:02,730
+على 1 نقص 1000 في D زي D نعوض بالفرضين هنا عن
+
+151
+00:10:02,730 --> 00:10:06,550
+schema z أنها تساوي y أساسي 1 نقص 1000 عن y أساسي
+
+152
+00:10:06,550 --> 00:10:10,110
+الـ 1000 في y' أنها تساوي 1 على 1 نقص 1000 في D زي
+
+153
+00:10:10,110 --> 00:10:15,400
+D نفسيمعادلة رقم خمسة نحصل على معادلة رقم ستة ورقم
+
+154
+00:10:15,400 --> 00:10:18,460
+ستة هي معادلة خطيئة فيها independent غالب الـ Z و
+
+155
+00:10:18,460 --> 00:10:22,020
+Independent الـ T فبالحلها زي ما درسنا في أول
+
+156
+00:10:22,020 --> 00:10:26,880
+سيكشن بيخلي معامل دي زي دي دي واحد ونضغط في نقصه
+
+157
+00:10:26,880 --> 00:10:31,450
+لإنصدار Integrated Vector بعد مالحلهاهذه هي الحلقة
+
+158
+00:10:31,450 --> 00:10:35,510
+عند عام Z كـ Function في الـ Y وفي الـ T ونجيب Z
+
+159
+00:10:35,510 --> 00:10:39,550
+ونرجحها لقيمة الأصلية Y أس واحد ناقص أنهي ونخلق
+
+160
+00:10:39,550 --> 00:10:43,870
+قيمة Y بالنسبة لـ T هنأخد مثلًا على هذه النوع
+
+161
+00:10:43,870 --> 00:10:48,090
+Solve the differential equation 2XY prime ناقص X
+
+162
+00:10:48,090 --> 00:10:54,330
+زاد واحد Y يسوى سالب ستة Y تكعيد نظر في Y أس ثلاثة
+
+163
+00:10:54,330 --> 00:11:01,540
+نضرف Y أس سالب تلاتةY' نقص نصف X زي واحد على X في
+
+164
+00:11:01,540 --> 00:11:06,100
+Y يسوي اي اول حاجة المعادلة تسمنا اول حاجة على
+
+165
+00:11:06,100 --> 00:11:10,080
+اتنين X تسمنا اتنين X بصورة هذه بعدين نظروا في Y
+
+166
+00:11:10,080 --> 00:11:13,820
+يسالب تلاتة بصورة لان Y يسالب تلاتة في Y' يسالب
+
+167
+00:11:13,820 --> 00:11:16,860
+نصف X زي واحد على X في Y يسالب تلاتة على X يسالب
+
+168
+00:11:16,860 --> 00:11:20,700
+تلاتة على X بعدين نفترض Z يساوي Y يسالب تلاتة على
+
+169
+00:11:20,700 --> 00:11:27,310
+X يسالب تلاتة على Xبنعود في المعادلة الهان عن y
+
+170
+00:11:27,310 --> 00:11:30,170
+سالب تلت و y برامج هيوم الهان يساوي سالب نص في dz
+
+171
+00:11:30,170 --> 00:11:35,710
+على dx يساوي نقص نص هيوم في x زات واحد على x في z
+
+172
+00:11:35,710 --> 00:11:40,070
+يساوي سالب ثلاثة على x وهذه معادلة خطية أول حاجة
+
+173
+00:11:40,070 --> 00:11:43,910
+بيخلي معامل dz dx واحد وفي سلب اتنين نفس العلاقة
+
+174
+00:11:43,910 --> 00:11:48,460
+معادلة الهانهذه المعاملة خطيئة لأن فيها P of X هو
+
+175
+00:11:48,460 --> 00:11:52,240
+معمل ZX زي 1 على X يسوى 1 زي 1 على X وD of X يسوى
+
+176
+00:11:52,240 --> 00:11:56,160
+6 على X انتجارات الـ Vector زي ما درسنا يسوى
+
+177
+00:11:56,160 --> 00:11:59,060
+Exponential التكامل P of X يعني سوى التكامل اللي
+
+178
+00:11:59,060 --> 00:12:03,320
+ناخده يسوى 1 زي 1 على X DX الكامله ويظهر انها
+
+179
+00:12:03,320 --> 00:12:07,810
+يساوي X في أس Xهو تكامل Mu of X في G of X دي X
+
+180
+00:12:07,810 --> 00:12:13,490
+يسوي تكامل 6 على X في X بيقص X دي X يسوي 6 على X
+
+181
+00:12:13,490 --> 00:12:18,550
+بيقص X يسوي 6 على X بيقص X زي السابق الحل العام
+
+182
+00:12:18,550 --> 00:12:22,490
+المعادلة القطية زي ال Z function يسوي Z بيقص 1 على
+
+183
+00:12:22,490 --> 00:12:27,500
+Integrated vector يعني 1 على X بيقص Xهذا هو حليلة
+
+184
+00:12:27,500 --> 00:12:33,440
+الـ Linear نعود للأصلية Z هو قيمة Y سلسلة 2 بيساوي
+
+185
+00:12:33,440 --> 00:12:36,840
+1 ع الاكس بيس اكس بيس ستة بيس اكس زي السبت بيديه
+
+186
+00:12:36,840 --> 00:12:41,900
+الوارد لحاله فعشان نطلع الوارد نفرقه مقلبه باسئلة
+
+187
+00:12:41,900 --> 00:12:56,900
+1 على 2 1 على 2 يعني نصفيصبح 1 و1 و1 و1 و1 و1 و1
+
+188
+00:12:56,900 --> 00:12:57,160
+و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1
+
+189
+00:12:57,160 --> 00:13:00,620
+و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1
+
+190
+00:13:00,620 --> 00:13:01,400
+و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1
+
+191
+00:13:01,400 --> 00:13:04,660
+و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1
+
+192
+00:13:04,660 --> 00:13:04,660
+و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1
+
+193
+00:13:04,660 --> 00:13:06,840
+و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1 و1
+
+194
+00:13:06,840 --> 00:13:07,300
+و1 و1
+
+195
+00:13:10,850 --> 00:13:12,470
+هذه معالجة عندي
+
+196
+00:13:20,020 --> 00:13:27,240
+نخلق معامل y'1 نغسّم
+
+197
+00:13:27,240 --> 00:13:31,020
+على y تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+198
+00:13:31,020 --> 00:13:31,240
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+199
+00:13:31,240 --> 00:13:31,240
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+200
+00:13:31,240 --> 00:13:31,280
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+201
+00:13:31,280 --> 00:13:31,360
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+202
+00:13:31,360 --> 00:13:39,680
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+203
+00:13:39,680 --> 00:13:46,600
+تق
+
+204
+00:13:46,840 --> 00:13:50,760
+هي بضع سلب نص في diesel دي تي زائد تنين على T في Z
+
+205
+00:13:50,760 --> 00:13:54,880
+يساوي واحدة تتربيه وهذه معادلة خطية تنقصه أول خطوة
+
+206
+00:13:54,880 --> 00:13:57,520
+في حالة تخلي معامل diesel دي تي واحد تضرف سلب
+
+207
+00:13:57,520 --> 00:14:02,240
+اتنين نحصل على انه diesel دي تي ناقص اربع على T Z
+
+208
+00:14:02,240 --> 00:14:06,880
+ويساوي سلب تنين على تتربيه وهنا عندي P of T يساوي
+
+209
+00:14:06,880 --> 00:14:10,540
+سلب اربع على T وG of T يساوي سلب اتنين على تتربيه
+
+210
+00:14:11,020 --> 00:14:18,200
+مي وف تي بيساوي exponential التكامل بيكامل
+
+211
+00:14:18,200 --> 00:14:22,940
+مي وف تي بجي وف تي بيطلع يساوي 2 على 5 فتي وسالف 5
+
+212
+00:14:22,940 --> 00:14:27,940
+زائز ثابت فبصير حل المعادلة خطية هذه انه يزيد
+
+213
+00:14:27,940 --> 00:14:32,280
+يساوي 1 على integrating vector اللي هو تي وسالف 4
+
+214
+00:14:32,280 --> 00:14:36,520
+في قيمة التكامل اللي هي 2 على 5 فتي وسالف 5 زائز
+
+215
+00:14:36,520 --> 00:14:43,430
+ثابت وندخل جربت على الصورة هذهنعود لـ Q2Y-2 ونعود
+
+216
+00:14:43,430 --> 00:14:48,850
+لـ Y نفع كل قوة واسالة بنص وانا قوة واسالة بنص
+
+217
+00:14:48,850 --> 00:14:52,070
+وانا قوة واسالة بنص وانا قوة واسالة بنص وانا قوة
+
+218
+00:14:52,070 --> 00:14:52,070
+واسالة بنص وانا قوة واسالة بنص وانا قوة واسالة بنص
+
+219
+00:14:52,070 --> 00:14:52,070
+وانا قوة واسالة بنص وانا قوة واسالة بنص وانا قوة
+
+220
+00:14:52,070 --> 00:14:52,070
+واسالة بنص وانا قوة واسالة بنص وانا قوة واسالة بنص
+
+221
+00:14:52,070 --> 00:14:54,590
+وانا قوة واسالة بنص وانا قوة واسالة بنص وانا قوة
+
+222
+00:14:54,590 --> 00:15:00,910
+واسالة بنص وانا قوة واسالة بنص وانا قوة واسالة بنص
+
+223
+00:15:00,910 --> 00:15:04,250
+وانفي نهاية هذا الفيديو أتمنى لكم التوفير وطبعا
+
+224
+00:15:04,250 --> 00:15:07,890
+بطلب منكم حل أسئلة بتناوعة مطلوبة معاكم في الخطة
+
+225
+00:15:07,890 --> 00:15:12,150
+لأنه ذلك في حال سؤال أو سؤال عن كل موضوع تلاحظوا
+
+226
+00:15:12,150 --> 00:15:15,870
+المادة تحتاج تكاملات من calculus P أو P أو C خاصة
+
+227
+00:15:15,870 --> 00:15:21,770
+D وهذه خاصية الحل كلها فيها تكاملات تلاحظوا في
+
+228
+00:15:21,770 --> 00:15:25,250
+النهاية أتمنى لكم روح الصحة والعافية والسلام عليكم
+
+229
+00:15:25,250 --> 00:15:26,230
+ورحمة الله وبركاته
+