diff --git "a/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/QjmVIa7skBA_raw.json" "b/PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/QjmVIa7skBA_raw.json"
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+{"segments": [{"id": 1, "seek": 1220, "start": 10.0, "end": 12.2, "text": "بسم الله الرحمن الرحيم", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640], "avg_logprob": -0.07929687425494195, "compression_ratio": 1.0789473684210527, "no_speech_prob": 0.0, "words": [{"start": 10.0, "end": 11.0, "word": "بسم", "probability": 0.78466796875}, {"start": 11.0, "end": 11.2, "word": " الله", "probability": 0.97705078125}, {"start": 11.2, "end": 11.66, "word": " الرحمن", "probability": 0.93896484375}, {"start": 11.66, "end": 12.2, "word": " الرحيم", "probability": 0.9939778645833334}], "temperature": 1.0}, {"id": 2, "seek": 3765, "start": 14.73, "end": 37.65, "text": "لازلنا في نفس شفر تلاتة ابتدأنا من section تلاتة واحد بالمعادلة a y w prime زائد b y prime زائد c y بده يساوي zero فرضنا انه عندي حل على الصيغة y تساوي E اص RT وصلنا لل characteristic equation على شكل AR تربيه زائد", "tokens": [1211, 31377, 1211, 8315, 8978, 8717, 36178, 13412, 5172, 2288, 6055, 1211, 9307, 3660, 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0.2188720703125}, {"start": 901.65, "end": 902.13, "word": " كملت", "probability": 0.7932942708333334}, {"start": 902.13, "end": 902.47, "word": " كمان", "probability": 0.92431640625}, {"start": 902.47, "end": 902.91, "word": " مرة", "probability": 0.98828125}], "temperature": 1.0}, {"id": 39, "seek": 92269, "start": 903.25, "end": 922.69, "text": "يبقى لو كملنا كمان مرة بصير V of T بدي ساوي C1T زائد C2 طب تعالى نتفهم على ال constants هدول C2 عبارة عن رقم لو ادي اخده هذا رقم غير الصفر", "tokens": [1829, 3555, 4587, 7578, 45164, 9122, 2304, 1211, 8315, 9122, 2304, 7649, 3714, 25720, 4724, 9381, 13546, 691, 295, 314, 4724, 16254, 8608, 995, 45865, 383, 16, 51, 30767, 16373, 3215, 383, 17, 23032, 3555, 37279, 6027, 7578, 8717, 2655, 5172, 16095, 15844, 2423, 35870, 8032, 3215, 12610, 383, 17, 6225, 3555, 9640, 3660, 18871, 12602, 4587, 2304, 45164, 1975, 16254, 1975, 9778, 3215, 3224, 23758, 12602, 4587, 2304, 32771, 13546, 31767, 5172, 2288], "avg_logprob": -0.1840624964237213, "compression_ratio": 1.3803680981595092, "no_speech_prob": 0.0, "words": [{"start": 903.25, "end": 903.69, "word": "يبقى", "probability": 0.79205322265625}, {"start": 903.69, "end": 903.91, "word": " لو", "probability": 0.921875}, {"start": 903.91, "end": 904.57, "word": " كملنا", "probability": 0.8404541015625}, {"start": 904.57, "end": 905.03, "word": " كمان", "probability": 0.84814453125}, {"start": 905.03, "end": 905.39, "word": " مرة", "probability": 0.977294921875}, {"start": 905.39, "end": 905.93, "word": " بصير", "probability": 0.826171875}, {"start": 905.93, "end": 906.23, "word": " V", "probability": 0.4951171875}, {"start": 906.23, "end": 906.55, "word": " of", "probability": 0.6396484375}, {"start": 906.55, "end": 906.75, "word": " T", "probability": 0.90478515625}, {"start": 906.75, "end": 907.01, "word": " بدي", "probability": 0.518798828125}, {"start": 907.01, "end": 907.41, "word": " ساوي", "probability": 0.5892740885416666}, {"start": 907.41, "end": 908.93, "word": " C1T", "probability": 0.666015625}, {"start": 908.93, "end": 910.21, "word": " زائد", "probability": 0.658203125}, {"start": 910.21, "end": 911.11, "word": " C2", "probability": 0.97900390625}, {"start": 911.11, "end": 913.13, "word": " طب", "probability": 0.7841796875}, {"start": 913.13, "end": 913.55, "word": " تعالى", "probability": 0.9498697916666666}, {"start": 913.55, "end": 914.07, "word": " نتفهم", "probability": 0.9676513671875}, {"start": 914.07, "end": 914.29, "word": " على", "probability": 0.8447265625}, {"start": 914.29, "end": 914.43, "word": " ال", "probability": 0.986328125}, {"start": 914.43, "end": 914.85, "word": " constants", "probability": 0.8173828125}, {"start": 914.85, "end": 915.57, "word": " هدول", "probability": 0.8551432291666666}, {"start": 915.57, "end": 917.39, "word": " C2", "probability": 0.87158203125}, {"start": 917.39, "end": 918.23, "word": " عبارة", "probability": 0.97314453125}, {"start": 918.23, "end": 918.49, "word": " عن", "probability": 0.9951171875}, {"start": 918.49, "end": 919.21, "word": " رقم", "probability": 0.99658203125}, {"start": 919.21, "end": 920.09, "word": " لو", "probability": 0.7421875}, {"start": 920.09, "end": 920.31, "word": " ادي", "probability": 0.657470703125}, {"start": 920.31, "end": 920.87, "word": " اخده", "probability": 0.7752685546875}, {"start": 920.87, "end": 921.13, "word": " هذا", "probability": 0.81298828125}, {"start": 921.13, "end": 921.61, "word": " رقم", "probability": 0.98974609375}, {"start": 921.61, "end": 922.03, "word": " غير", "probability": 0.9814453125}, {"start": 922.03, "end": 922.69, "word": " الصفر", "probability": 0.8896484375}], "temperature": 1.0}, {"id": 40, "seek": 94555, "start": 923.23, "end": 945.55, "text": "بصير V CT1 زائد رقم الرقم هذا لما ارجع اضربه في الحل اللى فوق برقم يعني اش يعني كررتي الحل اللى عندي صحيح ولا لا تكرار لا فائدة منه اذا ممكن اخد C2 بقداش بصفر حتى لا يحدث تكرار", "tokens": [3555, 9381, 13546, 691, 19529, 16, 30767, 16373, 3215, 12602, 4587, 2304, 34892, 4587, 2304, 23758, 5296, 15042, 1975, 47341, 3615, 1975, 11242, 25513, 3224, 8978, 21542, 1211, 13672, 7578, 6156, 30543, 4724, 2288, 4587, 2304, 37495, 22653, 1975, 8592, 37495, 22653, 9122, 2288, 2288, 31371, 21542, 1211, 13672, 7578, 18871, 16254, 20328, 5016, 1829, 5016, 49429, 20193, 6055, 37983, 9640, 20193, 6156, 16373, 41891, 9154, 3224, 1975, 15730, 3714, 43020, 1975, 9778, 3215, 383, 17, 4724, 28543, 33599, 4724, 9381, 5172, 2288, 11331, 49975, 20193, 7251, 24401, 12984, 6055, 37983, 9640], "avg_logprob": -0.1821236604003496, "compression_ratio": 1.7401129943502824, "no_speech_prob": 0.0, "words": [{"start": 923.23, "end": 923.97, "word": "بصير", "probability": 0.7766927083333334}, {"start": 923.97, "end": 924.35, "word": " V", "probability": 0.5107421875}, {"start": 924.35, "end": 925.67, "word": " CT1", "probability": 0.5030517578125}, {"start": 925.67, "end": 926.83, "word": " زائد", "probability": 0.63970947265625}, {"start": 926.83, "end": 927.41, "word": " رقم", "probability": 0.9679361979166666}, {"start": 927.41, "end": 928.51, "word": " الرقم", "probability": 0.8528645833333334}, {"start": 928.51, "end": 928.85, "word": " هذا", "probability": 0.85791015625}, {"start": 928.85, "end": 929.17, "word": " لما", "probability": 0.926513671875}, {"start": 929.17, "end": 929.73, "word": " ارجع", "probability": 0.7552083333333334}, {"start": 929.73, "end": 930.31, "word": " اضربه", "probability": 0.886474609375}, {"start": 930.31, "end": 930.41, "word": " في", "probability": 0.6142578125}, {"start": 930.41, "end": 930.87, "word": " الحل", "probability": 0.972900390625}, {"start": 930.87, "end": 931.11, "word": " اللى", "probability": 0.750732421875}, {"start": 931.11, "end": 931.73, "word": " فوق", "probability": 0.988525390625}, {"start": 931.73, "end": 932.45, "word": " برقم", "probability": 0.86395263671875}, {"start": 932.45, "end": 933.23, "word": " يعني", "probability": 0.890380859375}, {"start": 933.23, "end": 933.51, "word": " اش", "probability": 0.466064453125}, {"start": 933.51, "end": 933.79, "word": " يعني", "probability": 0.847900390625}, {"start": 933.79, "end": 934.71, "word": " كررتي", "probability": 0.7989501953125}, {"start": 934.71, "end": 935.15, "word": " الحل", "probability": 0.98583984375}, {"start": 935.15, "end": 935.39, "word": " اللى", "probability": 0.96044921875}, {"start": 935.39, "end": 935.91, "word": " عندي", "probability": 0.8818359375}, {"start": 935.91, "end": 936.61, "word": " صحيح", "probability": 0.9705810546875}, {"start": 936.61, "end": 936.77, "word": " ولا", "probability": 0.8740234375}, {"start": 936.77, "end": 937.07, "word": " لا", "probability": 0.68505859375}, {"start": 937.07, "end": 938.05, "word": " تكرار", "probability": 0.8694661458333334}, {"start": 938.05, "end": 938.35, "word": " لا", "probability": 0.89453125}, {"start": 938.35, "end": 938.97, "word": " فائدة", "probability": 0.88525390625}, {"start": 938.97, "end": 939.53, "word": " منه", "probability": 0.990234375}, {"start": 939.53, "end": 940.13, "word": " اذا", "probability": 0.71142578125}, {"start": 940.13, "end": 940.57, "word": " ممكن", "probability": 0.986572265625}, {"start": 940.57, "end": 940.99, "word": " اخد", "probability": 0.89208984375}, {"start": 940.99, "end": 941.63, "word": " C2", "probability": 0.916748046875}, {"start": 941.63, "end": 942.55, "word": " بقداش", "probability": 0.7267252604166666}, {"start": 942.55, "end": 943.69, "word": " بصفر", "probability": 0.823486328125}, {"start": 943.69, "end": 944.15, "word": " حتى", "probability": 0.949951171875}, {"start": 944.15, "end": 944.41, "word": " لا", "probability": 0.96484375}, {"start": 944.41, "end": 944.93, "word": " يحدث", "probability": 0.9152018229166666}, {"start": 944.93, "end": 945.55, "word": " تكرار", "probability": 0.9728190104166666}], "temperature": 1.0}, {"id": 41, "seek": 97220, "start": 945.86, "end": 972.2, "text": "يبقى اتفاقنا C2 ب0 V of T قال لي constant في T هل ال constant له تأثير على الحل؟ لا ماعنديش يبقى لو عندي حل اضربه في constant والله مية constant بظل هو حل يبقى هنا V of T in general هي T وبالتالي بقدر اخد C1 ب1 وC2 ب0", "tokens": [1829, 3555, 4587, 7578, 1975, 2655, 5172, 995, 4587, 8315, 383, 17, 4724, 15, 691, 295, 314, 50239, 32239, 5754, 8978, 314, 8032, 1211, 2423, 5754, 46740, 6055, 10721, 12984, 13546, 15844, 21542, 1211, 22807, 20193, 19446, 3615, 1863, 16254, 8592, 7251, 3555, 4587, 7578, 45164, 18871, 16254, 11331, 1211, 1975, 11242, 25513, 3224, 8978, 5754, 16070, 43761, 3714, 10632, 5754, 4724, 19913, 1211, 31439, 11331, 1211, 7251, 3555, 4587, 7578, 34105, 691, 295, 314, 294, 2674, 39896, 314, 46599, 6027, 2655, 6027, 1829, 4724, 28543, 2288, 1975, 9778, 3215, 383, 16, 4724, 16, 4032, 34, 17, 4724, 15], "avg_logprob": -0.1715624986588955, "compression_ratio": 1.608910891089109, "no_speech_prob": 0.0, "words": [{"start": 945.86, "end": 946.24, "word": "يبقى", "probability": 0.7569580078125}, {"start": 946.24, "end": 946.9, "word": " اتفاقنا", "probability": 0.8140462239583334}, {"start": 946.9, "end": 947.52, "word": " C2", "probability": 0.6646728515625}, {"start": 947.52, "end": 948.06, "word": " ب0", "probability": 0.571533203125}, {"start": 948.06, "end": 949.52, "word": " V", "probability": 0.625}, {"start": 949.52, "end": 949.92, "word": " of", "probability": 0.7890625}, {"start": 949.92, "end": 950.02, "word": " T", "probability": 0.96875}, {"start": 950.02, "end": 950.32, "word": " قال", "probability": 0.79736328125}, {"start": 950.32, "end": 950.5, "word": " لي", "probability": 0.478271484375}, {"start": 950.5, "end": 951.2, "word": " constant", "probability": 0.685546875}, {"start": 951.2, "end": 951.8, "word": " في", "probability": 0.8603515625}, {"start": 951.8, "end": 952.06, "word": " T", "probability": 0.87744140625}, {"start": 952.06, "end": 952.44, "word": " هل", "probability": 0.84814453125}, {"start": 952.44, "end": 952.6, "word": " ال", "probability": 0.94677734375}, {"start": 952.6, "end": 953.04, "word": " constant", "probability": 0.96044921875}, {"start": 953.04, "end": 953.42, "word": " له", "probability": 0.72998046875}, {"start": 953.42, "end": 953.94, "word": " تأثير", "probability": 0.9869384765625}, {"start": 953.94, "end": 954.18, "word": " على", "probability": 0.931640625}, {"start": 954.18, "end": 955.14, "word": " الحل؟", "probability": 0.8082682291666666}, {"start": 955.14, "end": 955.88, "word": " لا", "probability": 0.48095703125}, {"start": 955.88, "end": 956.48, "word": " ماعنديش", "probability": 0.876953125}, {"start": 956.48, "end": 956.7, "word": " يبقى", "probability": 0.8721923828125}, {"start": 956.7, "end": 956.86, "word": " لو", "probability": 0.89697265625}, {"start": 956.86, "end": 957.26, "word": " عندي", "probability": 0.895751953125}, {"start": 957.26, "end": 957.6, "word": " حل", "probability": 0.993896484375}, {"start": 957.6, "end": 958.44, "word": " اضربه", "probability": 0.90234375}, {"start": 958.44, "end": 958.6, "word": " في", "probability": 0.91015625}, {"start": 958.6, "end": 959.06, "word": " constant", "probability": 0.96630859375}, {"start": 959.06, "end": 959.7, "word": " والله", "probability": 0.7919921875}, {"start": 959.7, "end": 960.1, "word": " مية", "probability": 0.64306640625}, {"start": 960.1, "end": 960.78, "word": " constant", "probability": 0.97314453125}, {"start": 960.78, "end": 961.34, "word": " بظل", "probability": 0.6770833333333334}, {"start": 961.34, "end": 961.54, "word": " هو", "probability": 0.8076171875}, {"start": 961.54, "end": 962.02, "word": " حل", "probability": 0.986572265625}, {"start": 962.02, "end": 962.94, "word": " يبقى", "probability": 0.9818115234375}, {"start": 962.94, "end": 963.22, "word": " هنا", "probability": 0.958984375}, {"start": 963.22, "end": 963.6, "word": " V", "probability": 0.9541015625}, {"start": 963.6, "end": 963.98, "word": " of", "probability": 0.97607421875}, {"start": 963.98, "end": 964.2, "word": " T", "probability": 0.99462890625}, {"start": 964.2, "end": 964.54, "word": " in", "probability": 0.9091796875}, {"start": 964.54, "end": 965.08, "word": " general", "probability": 0.9130859375}, {"start": 965.08, "end": 965.7, "word": " هي", "probability": 0.90380859375}, {"start": 965.7, "end": 966.22, "word": " T", "probability": 0.8994140625}, {"start": 966.22, "end": 967.3, "word": " وبالتالي", "probability": 0.90927734375}, {"start": 967.3, "end": 967.7, "word": " بقدر", "probability": 0.9646809895833334}, {"start": 967.7, "end": 967.98, "word": " اخد", "probability": 0.8904622395833334}, {"start": 967.98, "end": 968.76, "word": " C1", "probability": 0.9736328125}, {"start": 968.76, "end": 969.46, "word": " ب1", "probability": 0.905029296875}, {"start": 969.46, "end": 970.98, "word": " وC2", "probability": 0.8792317708333334}, {"start": 970.98, "end": 972.2, "word": " ب0", "probability": 0.94189453125}], "temperature": 1.0}, {"id": 42, "seek": 99956, "start": 972.6, "end": 999.56, "text": "يبقى باجي بقول ا take خدلي c1 تساوي 1 and c2 تساوي 0 we get بنحصل على v of t بده يساوي t فقط ده غير يبقى باجي بقول the second solution", "tokens": [1829, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 1975, 747, 16490, 3215, 20292, 269, 16, 6055, 3794, 995, 45865, 502, 293, 269, 17, 6055, 3794, 995, 45865, 1958, 321, 483, 44945, 5016, 36520, 15844, 371, 295, 256, 47525, 3224, 7251, 3794, 995, 45865, 256, 6156, 47432, 11778, 3224, 32771, 13546, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 264, 1150, 3827], "avg_logprob": -0.23339844192378223, "compression_ratio": 1.3873239436619718, "no_speech_prob": 0.0, "words": [{"start": 972.6, "end": 973.26, "word": "يبقى", "probability": 0.87353515625}, {"start": 973.26, "end": 973.66, "word": " باجي", "probability": 0.8912760416666666}, {"start": 973.66, "end": 974.28, "word": " بقول", "probability": 0.9228515625}, {"start": 974.28, "end": 974.66, "word": " ا", "probability": 0.71044921875}, {"start": 974.66, "end": 975.64, "word": " take", "probability": 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الدالة الأولى اللي هي T انفك المحدد هذا يبقى بطل عنا E أس ناقص B على A كله في T", "tokens": [6027, 20292, 39896, 37893, 2655, 28671, 9154, 32748, 6027, 3660, 16712, 7649, 10632, 8978, 32748, 6027, 3660, 16247, 12610, 7578, 13672, 1829, 39896, 314, 16472, 5172, 4117, 9673, 24401, 3215, 23758, 7251, 3555, 4587, 7578, 4724, 9566, 1211, 6225, 8315, 462, 5551, 3794, 8717, 995, 4587, 9381, 363, 15844, 316, 28242, 3224, 8978, 314], "avg_logprob": -0.26321023269133137, "compression_ratio": 1.5511811023622046, "no_speech_prob": 0.0, "words": [{"start": 1133.42, "end": 1133.7, "word": "اللي", "probability": 0.45947265625}, {"start": 1133.7, "end": 1133.82, "word": " هي", "probability": 0.17333984375}, {"start": 1133.82, "end": 1134.42, "word": " مشتقة", "probability": 0.7931315104166666}, {"start": 1134.42, "end": 1134.86, "word": " من", "probability": 0.92041015625}, {"start": 1134.86, "end": 1135.84, "word": " الدالة", "probability": 0.9195963541666666}, {"start": 1135.84, "end": 1136.26, 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بيضع بيضع بيضع بيضع بيضع بيضع بيضع", "tokens": [3224, 1829, 4724, 1829, 11242, 3615, 4724, 1829, 11242, 3615, 4724, 1829, 11242, 3615, 4724, 1829, 11242, 3615, 4724, 1829, 11242, 3615, 4724, 1829, 11242, 3615, 4724, 1829, 11242, 3615, 4724, 1829, 11242, 3615], "avg_logprob": -0.49419641494750977, "compression_ratio": 3.1666666666666665, "no_speech_prob": 0.0, "words": [{"start": 1167.11, "end": 1167.39, "word": "هي", "probability": 0.230712890625}, {"start": 1167.39, "end": 1169.63, "word": " بيضع", "probability": 0.251495361328125}, {"start": 1169.63, "end": 1174.37, "word": " بيضع", "probability": 0.66656494140625}, {"start": 1174.37, "end": 1187.51, "word": " بيضع", "probability": 0.8822021484375}, {"start": 1187.51, "end": 1192.19, "word": " بيضع", "probability": 0.9063720703125}, {"start": 1192.19, "end": 1192.69, "word": " بيضع", "probability": 0.9267578125}, {"start": 1192.69, "end": 1194.55, "word": " بيضع", "probability": 0.947998046875}, {"start": 1194.55, "end": 1195.35, 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55, "seek": 127581, "start": 1259.81, "end": 1275.81, "text": "بناءً آلي أصبح the general solution of question star is why you sell", "tokens": [3555, 1863, 16606, 14111, 19753, 20292, 5551, 9381, 49628, 264, 2674, 3827, 295, 1168, 3543, 307, 983, 291, 3607], "avg_logprob": -0.5562499731779098, "compression_ratio": 0.9302325581395349, "no_speech_prob": 0.0, "words": [{"start": 1259.81, "end": 1261.01, "word": "بناءً", "probability": 0.54376220703125}, {"start": 1261.01, "end": 1261.41, "word": " آلي", "probability": 0.392333984375}, {"start": 1261.41, "end": 1261.95, "word": " أصبح", "probability": 0.95703125}, {"start": 1261.95, "end": 1262.19, "word": " the", "probability": 0.339111328125}, {"start": 1262.19, "end": 1262.79, "word": " general", "probability": 0.8896484375}, {"start": 1262.79, "end": 1264.29, "word": " solution", "probability": 0.9638671875}, {"start": 1264.29, "end": 1270.17, "word": " of", "probability": 0.9111328125}, {"start": 1270.17, "end": 1271.53, "word": " 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repeated roots و reduction of order اللى اختزال الرتبة", "tokens": [3224, 15730, 31439, 25724, 8848, 2288, 13672, 7578, 4724, 1829, 9566, 1211, 3615, 43242, 8315, 25724, 8848, 2288, 9673, 37983, 2288, 7251, 3555, 4587, 7578, 4724, 8315, 2655, 23758, 25124, 28820, 21542, 1211, 13672, 7578, 43242, 8315, 8032, 3215, 7578, 4032, 8032, 3215, 3794, 25528, 6156, 7578, 11331, 6027, 3660, 2423, 10669, 6055, 3555, 4587, 7578, 20449, 995, 11296, 10477, 10669, 11331, 3215, 13672, 7578, 8032, 7578, 6055, 3794, 995, 12610, 34105, 23032, 3555, 3615, 995, 13672, 7578, 19446, 19452, 2655, 3714, 14851, 17082, 2288, 21292, 3224, 5296, 33456, 31439, 13672, 7578, 9122, 8315, 12602, 31845, 3615, 9957, 31439, 10477, 10669, 4032, 11004, 295, 1668, 13672, 7578, 1975, 46456, 11622, 6027, 34892, 2655, 49401], "avg_logprob": -0.25529891408008076, "compression_ratio": 1.8596491228070176, "no_speech_prob": 0.0, "words": [{"start": 1330.86, "end": 1331.32, "word": "هذا", "probability": 0.4442138671875}, {"start": 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"temperature": 1.0}, {"id": 100, "seek": 231557, "start": 2295.89, "end": 2315.57, "text": "السؤال هو can we determine هل بنقدر نحدد a function", "tokens": [6027, 3794, 33604, 6027, 31439, 393, 321, 6997, 8032, 1211, 44945, 28543, 2288, 8717, 24401, 3215, 257, 2445], "avg_logprob": -0.20929276943206787, "compression_ratio": 0.9210526315789473, "no_speech_prob": 0.0, "words": [{"start": 2295.89, "end": 2296.79, "word": "السؤال", "probability": 0.9429931640625}, {"start": 2296.79, "end": 2297.21, "word": " هو", "probability": 0.99169921875}, {"start": 2297.21, "end": 2302.39, "word": " can", "probability": 0.57763671875}, {"start": 2302.39, "end": 2302.61, "word": " we", "probability": 0.97998046875}, {"start": 2302.61, "end": 2303.57, "word": " determine", "probability": 0.97021484375}, {"start": 2303.57, "end": 2310.05, "word": " هل", "probability": 0.67578125}, {"start": 2310.05, "end": 2310.67, "word": " بنقدر", "probability": 0.9588216145833334}, {"start": 2310.67, "end": 2311.81, 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2390.22, "word": " وما", "probability": 0.7255859375}, {"start": 2390.22, "end": 2391.06, "word": " علاقته", "probability": 0.9656982421875}, {"start": 2391.06, "end": 2391.3, "word": " بال", "probability": 0.94775390625}, {"start": 2391.3, "end": 2391.78, "word": " repeated", "probability": 0.96923828125}, {"start": 2391.78, "end": 2392.38, "word": " roots", "probability": 0.9306640625}, {"start": 2392.38, "end": 2393.3, "word": " اللتي", "probability": 0.726318359375}, {"start": 2393.3, "end": 2394.42, "word": " درسناها", "probability": 0.92431640625}, {"start": 2394.42, "end": 2395.0, "word": " قبل", "probability": 0.99609375}, {"start": 2395.0, "end": 2395.98, "word": " قليل", "probability": 0.98681640625}], "temperature": 1.0}, {"id": 104, "seek": 243200, "start": 2403.22, "end": 2432.0, "text": "يبقى موضوعنا الآن لدراسة المعادلة التفاضلي يستارل هو موضوع reduction of order اختزال الرتبة او تنزيل الرتبة من الرتبة الثانية الى الرتبة الاولى هذه المعادلة التفاضلي اللى عندنا لم نشترط ان P و Q يكونوا constants لكن في section تلاتة واحد تلاتة اتنين تلاتة تلاتة تلاتة اربعة تلاتة خمسة حتى اللحظة هذه اشترط ان يكون مالهم", "tokens": [1829, 3555, 4587, 7578, 3714, 2407, 11242, 45367, 8315, 6024, 48506, 5296, 3215, 23557, 3794, 3660, 9673, 3615, 18513, 37977, 16712, 5172, 46958, 20292, 7251, 14851, 9640, 1211, 31439, 3714, 2407, 11242, 45367, 11004, 295, 1668, 1975, 46456, 11622, 6027, 34892, 2655, 49401, 1975, 2407, 6055, 1863, 11622, 26895, 34892, 2655, 49401, 9154, 34892, 2655, 49401, 6024, 104, 7649, 10632, 2423, 7578, 34892, 2655, 49401, 42963, 12610, 7578, 29538, 9673, 3615, 18513, 37977, 16712, 5172, 46958, 20292, 13672, 7578, 43242, 8315, 32767, 8717, 8592, 2655, 2288, 9566, 16472, 430, 4032, 1249, 7251, 30544, 14407, 35870, 44381, 8978, 3541, 6055, 1211, 9307, 3660, 36764, 24401, 6055, 1211, 9307, 3660, 1975, 2655, 1863, 9957, 6055, 1211, 9307, 3660, 6055, 1211, 9307, 3660, 6055, 1211, 9307, 3660, 1975, 25513, 27884, 6055, 1211, 9307, 3660, 16490, 2304, 3794, 3660, 11331, 49975, 13672, 5016, 19913, 3660, 29538, 1975, 8592, 2655, 2288, 9566, 16472, 7251, 30544, 3714, 6027, 16095], "avg_logprob": -0.1639610439925999, "compression_ratio": 2.0716981132075474, "no_speech_prob": 0.0, "words": [{"start": 2403.22, "end": 2404.18, "word": "يبقى", "probability": 0.76678466796875}, {"start": 2404.18, "end": 2404.76, "word": " موضوعنا", "probability": 0.95009765625}, {"start": 2404.76, "end": 2405.1, "word": " الآن", "probability": 0.6058349609375}, {"start": 2405.1, "end": 2405.66, "word": " لدراسة", "probability": 0.9876953125}, {"start": 2405.66, "end": 2406.18, "word": " المعادلة", "probability": 0.9609375}, {"start": 2406.18, "end": 2407.02, "word": " التفاضلي", "probability": 0.85009765625}, {"start": 2407.02, "end": 2407.84, "word": " يستارل", "probability": 0.53790283203125}, {"start": 2407.84, "end": 2407.94, "word": " هو", "probability": 0.67138671875}, {"start": 2407.94, "end": 2408.3, "word": " موضوع", "probability": 0.9619140625}, {"start": 2408.3, "end": 2408.82, "word": " reduction", "probability": 0.833984375}, {"start": 2408.82, "end": 2409.28, "word": " of", "probability": 0.97021484375}, {"start": 2409.28, "end": 2409.8, "word": " order", "probability": 0.92041015625}, {"start": 2409.8, "end": 2410.92, "word": " اختزال", "probability": 0.883544921875}, {"start": 2410.92, "end": 2411.4, "word": " الرتبة", "probability": 0.6993815104166666}, {"start": 2411.4, "end": 2411.74, "word": " او", "probability": 0.871826171875}, {"start": 2411.74, "end": 2412.3, "word": " تنزيل", "probability": 0.9881591796875}, {"start": 2412.3, "end": 2412.74, "word": " الرتبة", "probability": 0.9391276041666666}, {"start": 2412.74, "end": 2412.9, "word": " من", "probability": 0.978515625}, {"start": 2412.9, "end": 2413.38, "word": " الرتبة", "probability": 0.9518229166666666}, {"start": 2413.38, "end": 2413.84, "word": " الثانية", "probability": 0.8935546875}, {"start": 2413.84, "end": 2414.08, "word": " الى", "probability": 0.6868896484375}, {"start": 2414.08, "end": 2414.6, "word": " الرتبة", "probability": 0.9269205729166666}, {"start": 2414.6, "end": 2415.64, "word": " الاولى", "probability": 0.8504231770833334}, {"start": 2415.64, "end": 2416.26, "word": " هذه", "probability": 0.377197265625}, {"start": 2416.26, "end": 2416.78, "word": " المعادلة", "probability": 0.9857177734375}, {"start": 2416.78, "end": 2417.42, "word": " التفاضلي", "probability": 0.9027099609375}, {"start": 2417.42, "end": 2417.62, "word": " اللى", "probability": 0.743408203125}, {"start": 2417.62, "end": 2418.38, "word": " عندنا", "probability": 0.83154296875}, {"start": 2418.38, "end": 2418.74, "word": " لم", "probability": 0.85888671875}, {"start": 2418.74, "end": 2419.66, "word": " نشترط", "probability": 0.7494140625}, {"start": 2419.66, "end": 2419.88, "word": " ان", "probability": 0.8974609375}, {"start": 2419.88, "end": 2420.26, "word": " P", "probability": 0.69140625}, {"start": 2420.26, "end": 2420.48, "word": " و", "probability": 0.9560546875}, {"start": 2420.48, "end": 2420.66, "word": " Q", "probability": 0.6142578125}, {"start": 2420.66, "end": 2421.68, "word": " يكونوا", "probability": 0.65869140625}, {"start": 2421.68, "end": 2422.06, "word": " constants", "probability": 0.63818359375}, {"start": 2422.06, "end": 2422.88, "word": " لكن", "probability": 0.80126953125}, {"start": 2422.88, "end": 2423.14, "word": " في", "probability": 0.88623046875}, {"start": 2423.14, "end": 2423.72, "word": " section", "probability": 0.61376953125}, {"start": 2423.72, "end": 2424.28, "word": " تلاتة", "probability": 0.84063720703125}, {"start": 2424.28, "end": 2424.6, "word": " واحد", "probability": 0.91064453125}, {"start": 2424.6, "end": 2425.08, "word": " تلاتة", "probability": 0.900634765625}, {"start": 2425.08, "end": 2425.38, "word": " اتنين", "probability": 0.95703125}, {"start": 2425.38, "end": 2426.02, "word": " تلاتة", "probability": 0.9815673828125}, {"start": 2426.02, "end": 2426.54, "word": " تلاتة", "probability": 0.980712890625}, {"start": 2426.54, "end": 2427.02, "word": " تلاتة", "probability": 0.97900390625}, {"start": 2427.02, "end": 2427.34, "word": " اربعة", "probability": 0.896484375}, {"start": 2427.34, "end": 2427.82, "word": " تلاتة", "probability": 0.9798583984375}, {"start": 2427.82, "end": 2429.04, "word": " خمسة", "probability": 0.9422607421875}, {"start": 2429.04, "end": 2429.5, "word": " حتى", "probability": 0.872802734375}, {"start": 2429.5, "end": 2430.02, "word": " اللحظة", "probability": 0.9830322265625}, {"start": 2430.02, "end": 2430.38, "word": " هذه", "probability": 0.6708984375}, {"start": 2430.38, "end": 2431.16, "word": " اشترط", "probability": 0.92109375}, {"start": 2431.16, "end": 2431.28, "word": " ان", "probability": 0.81494140625}, {"start": 2431.28, "end": 2431.52, "word": " يكون", "probability": 0.970703125}, {"start": 2431.52, "end": 2432.0, "word": " مالهم", "probability": 0.8186848958333334}], "temperature": 1.0}, {"id": 105, "seek": 244798, "start": 2432.48, "end": 2447.98, "text": "الـ coefficients are real، المعاملات ثوابت وليست continuous functions، ماهياش دوال مضطر وانما دوال كابتن كله ثوابت، الـA constant، الـB constant والـC constant، لكننا لما أشترط للـP و للـQ", "tokens": [6027, 39184, 31994, 366, 957, 12399, 9673, 3615, 10943, 1211, 9307, 38637, 14407, 3555, 2655, 4032, 20292, 14851, 10957, 6828, 12399, 19446, 3224, 1829, 33599, 11778, 2407, 6027, 3714, 11242, 9566, 2288, 4032, 7649, 15042, 11778, 2407, 6027, 9122, 16758, 2655, 1863, 28242, 3224, 38637, 14407, 3555, 2655, 12399, 2423, 39184, 32, 416, 372, 394, 12399, 2423, 39184, 33, 5754, 4032, 6027, 39184, 34, 5754, 12399, 44381, 8315, 5296, 15042, 5551, 8592, 2655, 2288, 9566, 24976, 39184, 47, 4032, 24976, 39184, 48], "avg_logprob": -0.40022588997002106, "compression_ratio": 1.5786516853932584, "no_speech_prob": 0.0, "words": [{"start": 2432.48, "end": 2432.84, "word": "الـ", "probability": 0.4169921875}, {"start": 2432.84, "end": 2433.3, "word": " coefficients", "probability": 0.70849609375}, {"start": 2433.3, "end": 2434.0, "word": " are", "probability": 0.7998046875}, {"start": 2434.0, "end": 2435.04, "word": " real،", "probability": 0.6195068359375}, {"start": 2435.04, "end": 2435.74, "word": " المعاملات", "probability": 0.9595703125}, {"start": 2435.74, "end": 2436.44, "word": " ثوابت", "probability": 0.8990478515625}, {"start": 2436.44, "end": 2437.1, "word": " وليست", "probability": 0.7957356770833334}, {"start": 2437.1, "end": 2437.58, "word": " continuous", "probability": 0.83447265625}, {"start": 2437.58, "end": 2438.66, "word": " functions،", "probability": 0.613525390625}, {"start": 2438.66, "end": 2439.16, "word": " ماهياش", "probability": 0.65887451171875}, {"start": 2439.16, "end": 2439.4, "word": " دوال", "probability": 0.7915852864583334}, {"start": 2439.4, "end": 2439.82, "word": " مضطر", "probability": 0.73065185546875}, {"start": 2439.82, "end": 2440.22, "word": " وانما", "probability": 0.81201171875}, {"start": 2440.22, "end": 2440.9, "word": " دوال", "probability": 0.8567708333333334}, {"start": 2440.9, "end": 2441.42, "word": " كابتن", "probability": 0.57373046875}, {"start": 2441.42, "end": 2441.86, "word": " كله", "probability": 0.735107421875}, {"start": 2441.86, "end": 2442.32, "word": " ثوابت،", "probability": 0.77587890625}, {"start": 2442.32, "end": 2442.62, "word": " الـA", "probability": 0.5725911458333334}, {"start": 2442.62, "end": 2443.2, "word": " constant،", "probability": 0.576171875}, {"start": 2443.2, "end": 2443.38, "word": " الـB", "probability": 0.91552734375}, {"start": 2443.38, "end": 2443.82, "word": " constant", "probability": 0.9306640625}, {"start": 2443.82, "end": 2444.24, "word": " والـC", "probability": 0.6495361328125}, {"start": 2444.24, "end": 2445.16, "word": " constant،", "probability": 0.855224609375}, {"start": 2445.16, "end": 2445.74, "word": " لكننا", "probability": 0.6171875}, {"start": 2445.74, "end": 2446.0, "word": " لما", "probability": 0.4239501953125}, {"start": 2446.0, "end": 2446.62, "word": " أشترط", "probability": 0.797314453125}, {"start": 2446.62, "end": 2447.26, "word": " للـP", "probability": 0.6750081380208334}, {"start": 2447.26, "end": 2447.48, "word": " و", "probability": 0.69091796875}, {"start": 2447.48, "end": 2447.98, "word": " للـQ", "probability": 0.7781575520833334}], "temperature": 1.0}, {"id": 106, "seek": 246734, "start": 2448.36, "end": 2467.34, "text": "لكن هذا بتعتمد ان هو بيعطيني حل وانا بروح بدور على مين على الحل الثاني لهذه المعادلة التفاضلية بقول افترض ان هو اي واحد هو حل المعادلة التفاضلية اللى عندنا star السؤال هو the question is can we determine", "tokens": [1211, 19452, 23758, 39894, 34268, 2304, 3215, 16472, 31439, 4724, 40228, 9566, 1829, 22653, 11331, 1211, 4032, 7649, 995, 4724, 32887, 5016, 47525, 13063, 15844, 3714, 9957, 15844, 21542, 1211, 6024, 104, 7649, 1829, 46740, 24192, 9673, 3615, 18513, 37977, 16712, 5172, 46958, 1211, 10632, 4724, 39648, 1975, 5172, 2655, 43042, 16472, 31439, 1975, 1829, 36764, 24401, 31439, 11331, 1211, 9673, 3615, 18513, 37977, 16712, 5172, 46958, 1211, 10632, 13672, 7578, 43242, 8315, 3543, 21136, 33604, 6027, 31439, 264, 1168, 307, 393, 321, 6997], "avg_logprob": -0.20753676821203793, "compression_ratio": 1.7282051282051283, "no_speech_prob": 0.0, "words": [{"start": 2448.36, "end": 2448.78, "word": "لكن", "probability": 0.54901123046875}, {"start": 2448.78, "end": 2449.0, "word": " هذا", "probability": 0.63427734375}, {"start": 2449.0, "end": 2449.6, "word": " بتعتمد", "probability": 0.7009124755859375}, {"start": 2449.6, "end": 2449.76, "word": " ان", "probability": 0.4970703125}, {"start": 2449.76, "end": 2449.98, "word": " هو", "probability": 0.703125}, {"start": 2449.98, "end": 2450.76, "word": " بيعطيني", "probability": 0.7994140625}, {"start": 2450.76, "end": 2451.34, "word": " حل", "probability": 0.9853515625}, {"start": 2451.34, "end": 2452.28, "word": " وانا", "probability": 0.77734375}, {"start": 2452.28, "end": 2452.64, "word": " بروح", "probability": 0.9807942708333334}, {"start": 2452.64, "end": 2453.08, "word": " بدور", "probability": 0.876953125}, {"start": 2453.08, "end": 2453.32, "word": " على", "probability": 0.5517578125}, {"start": 2453.32, "end": 2453.72, "word": " مين", "probability": 0.79150390625}, {"start": 2453.72, "end": 2454.22, "word": " على", "probability": 0.67236328125}, {"start": 2454.22, "end": 2454.7, "word": " الحل", "probability": 0.9794921875}, {"start": 2454.7, "end": 2455.2, "word": " الثاني", "probability": 0.9437255859375}, {"start": 2455.2, "end": 2455.68, "word": " لهذه", "probability": 0.880615234375}, {"start": 2455.68, "end": 2456.42, "word": " المعادلة", "probability": 0.9801025390625}, {"start": 2456.42, "end": 2457.72, "word": " التفاضلية", "probability": 0.93876953125}, {"start": 2457.72, "end": 2458.42, "word": " بقول", "probability": 0.548828125}, {"start": 2458.42, "end": 2458.84, "word": " افترض", "probability": 0.9766845703125}, {"start": 2458.84, "end": 2459.0, "word": " ان", "probability": 0.88330078125}, {"start": 2459.0, "end": 2459.16, "word": " هو", "probability": 0.427001953125}, {"start": 2459.16, "end": 2459.28, "word": " اي", "probability": 0.78076171875}, {"start": 2459.28, "end": 2459.7, "word": " واحد", "probability": 0.99462890625}, {"start": 2459.7, "end": 2460.0, "word": " هو", "probability": 0.95166015625}, {"start": 2460.0, "end": 2460.48, "word": " حل", "probability": 0.981689453125}, {"start": 2460.48, "end": 2461.1, "word": " المعادلة", "probability": 0.98681640625}, {"start": 2461.1, "end": 2462.0, "word": " التفاضلية", "probability": 0.96162109375}, {"start": 2462.0, "end": 2462.18, "word": " اللى", "probability": 0.742431640625}, {"start": 2462.18, "end": 2462.58, "word": " عندنا", "probability": 0.986328125}, {"start": 2462.58, "end": 2462.96, "word": " star", "probability": 0.31591796875}, {"start": 2462.96, "end": 2464.36, "word": " السؤال", "probability": 0.9383138020833334}, {"start": 2464.36, "end": 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2633.73, "word": " بعض", "probability": 0.9609375}], "temperature": 1.0}, {"id": 115, "seek": 265036, "start": 2634.62, "end": 2650.36, "text": "يبقى اتنين واحدة فيهم يبقى بصير ان هذا main اللي هو v في ال y1 double prime زائد اتنين v prime y1 prime زائد v double prime y1", "tokens": [1829, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 36764, 24401, 3660, 8978, 16095, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 16472, 23758, 2135, 13672, 1829, 31439, 371, 8978, 2423, 288, 16, 3834, 5835, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 371, 5835, 288, 16, 5835, 30767, 16373, 3215, 371, 3834, 5835, 288, 16], "avg_logprob": -0.23466434826453528, "compression_ratio": 1.4516129032258065, "no_speech_prob": 0.0, "words": [{"start": 2634.62, "end": 2635.24, "word": "يبقى", "probability": 0.83502197265625}, {"start": 2635.24, "end": 2635.76, "word": " اتنين", "probability": 0.7116546630859375}, {"start": 2635.76, "end": 2636.24, "word": " واحدة", "probability": 0.91455078125}, {"start": 2636.24, "end": 2636.66, "word": " فيهم", "probability": 0.9345703125}, {"start": 2636.66, "end": 2637.62, "word": " يبقى", "probability": 0.9300537109375}, {"start": 2637.62, "end": 2638.0, "word": " بصير", "probability": 0.9093424479166666}, {"start": 2638.0, "end": 2638.3, "word": " ان", "probability": 0.73876953125}, {"start": 2638.3, "end": 2638.7, "word": " هذا", "probability": 0.802734375}, {"start": 2638.7, "end": 2639.14, "word": " main", "probability": 0.50146484375}, {"start": 2639.14, "end": 2639.74, "word": " اللي", "probability": 0.614990234375}, {"start": 2639.74, "end": 2640.04, "word": " هو", "probability": 0.75537109375}, {"start": 2640.04, "end": 2640.42, "word": " v", "probability": 0.4462890625}, {"start": 2640.42, "end": 2640.88, "word": " في", "probability": 0.80517578125}, {"start": 2640.88, "end": 2641.04, "word": " ال", "probability": 0.578125}, {"start": 2641.04, "end": 2641.72, "word": " y1", "probability": 0.73388671875}, {"start": 2641.72, "end": 2642.14, "word": " double", "probability": 0.5322265625}, {"start": 2642.14, "end": 2642.84, "word": " prime", "probability": 0.890625}, {"start": 2642.84, "end": 2643.78, "word": " زائد", "probability": 0.667724609375}, {"start": 2643.78, "end": 2644.46, "word": " اتنين", "probability": 0.9393310546875}, {"start": 2644.46, "end": 2644.9, "word": " v", "probability": 0.85595703125}, {"start": 2644.9, "end": 2645.6, "word": " prime", "probability": 0.81689453125}, {"start": 2645.6, "end": 2646.34, "word": " y1", "probability": 0.92041015625}, {"start": 2646.34, "end": 2647.0, "word": " prime", "probability": 0.89208984375}, {"start": 2647.0, "end": 2647.96, "word": " زائد", "probability": 0.955078125}, {"start": 2647.96, "end": 2648.38, "word": " v", "probability": 0.89990234375}, {"start": 2648.38, "end": 2648.92, "word": " double", "probability": 0.9248046875}, {"start": 2648.92, "end": 2649.74, "word": " prime", "probability": 0.90380859375}, {"start": 2649.74, "end": 2650.36, "word": " y1", "probability": 0.981689453125}], "temperature": 1.0}, {"id": 116, "seek": 268046, "start": 2651.26, "end": 2680.46, "text": "جبنا المشتقة الأولى و المشتقة الثانية و هي الدالة بقدر أعوض في المعادلة الأصلية يبقى باجي بقول substitute and the differential equation star we get و نحصل على مياتي بدي أشيل وائدة بالإقرام و أحط هذه بدالها", "tokens": [7435, 3555, 8315, 9673, 8592, 2655, 28671, 16247, 12610, 7578, 4032, 9673, 8592, 2655, 28671, 6024, 104, 7649, 10632, 4032, 39896, 32748, 6027, 3660, 4724, 28543, 2288, 5551, 3615, 2407, 11242, 8978, 9673, 3615, 18513, 37977, 16247, 9381, 1211, 10632, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 15802, 293, 264, 15756, 5367, 3543, 321, 483, 4032, 8717, 5016, 36520, 15844, 3714, 1829, 9307, 1829, 4724, 16254, 5551, 8592, 26895, 4032, 16373, 41891, 20666, 28814, 4587, 2288, 10943, 4032, 5551, 5016, 9566, 29538, 47525, 6027, 11296], "avg_logprob": -0.32457385483113205, "compression_ratio": 1.5302325581395348, "no_speech_prob": 0.0, "words": 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يبقى زائد ل Q في من؟ في ال Y1 هاد ال Y في من؟ ل Q في ال V V في ال Y1 كل هذا الكلام بده يسمي كده؟", "tokens": [6027, 20292, 39182, 11296, 30767, 16373, 3215, 5296, 1249, 8978, 2423, 398, 39896, 2423, 398, 47525, 3224, 1975, 11242, 25513, 11296, 8978, 2423, 1249, 7251, 3555, 4587, 7578, 30767, 16373, 3215, 5296, 1249, 8978, 9154, 22807, 8978, 2423, 398, 16, 8032, 18513, 2423, 398, 8978, 9154, 22807, 5296, 1249, 8978, 2423, 691, 691, 8978, 2423, 398, 16, 28242, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 38251, 1829, 9122, 3215, 3224, 22807], "avg_logprob": -0.2584635536703799, "compression_ratio": 1.8992248062015504, "no_speech_prob": 0.0, "words": [{"start": 2719.86, "end": 2720.28, "word": "اللي", "probability": 0.60302734375}, {"start": 2720.28, "end": 2720.86, "word": " بعدها", "probability": 0.9482421875}, {"start": 2720.86, "end": 2721.62, "word": " زائد", "probability": 0.664306640625}, {"start": 2721.62, "end": 2721.78, "word": " ل", "probability": 0.814453125}, {"start": 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zero", "tokens": [2304, 19913, 3555, 2407, 9566, 7251, 3555, 4587, 7578, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 288, 472, 5835, 8978, 2423, 371, 5835, 30767, 16373, 3215, 288, 472, 8978, 2423, 371, 3834, 5835, 28242, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 9122, 3215, 3224, 22807, 47525, 3224, 7251, 3794, 995, 45865, 4018], "avg_logprob": -0.2502790279686451, "compression_ratio": 1.4603174603174602, "no_speech_prob": 0.0, "words": [{"start": 2795.6, "end": 2796.44, "word": "مظبوط", "probability": 0.7283203125}, {"start": 2796.44, "end": 2797.68, "word": " يبقى", "probability": 0.9300537109375}, {"start": 2797.68, "end": 2799.08, "word": " زائد", "probability": 0.6390177408854166}, {"start": 2799.08, "end": 2800.5, "word": " اتنين", "probability": 0.9183349609375}, {"start": 2800.5, "end": 2801.38, "word": " y", "probability": 0.447265625}, {"start": 2801.38, "end": 2801.9, "word": " one", "probability": 0.6845703125}, {"start": 2801.9, "end": 2802.72, 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"text": "ماذا رايك في المعادلة هذه اللي بين ادينا فيها V يعني equation with V مفقودة V مفقودة يبقى هذه equation with V مفقودة", "tokens": [2304, 45636, 995, 12602, 47302, 4117, 8978, 9673, 3615, 18513, 37977, 29538, 13672, 1829, 49374, 1975, 16254, 8315, 8978, 11296, 691, 37495, 22653, 5367, 365, 691, 3714, 5172, 4587, 23328, 3660, 691, 3714, 5172, 4587, 23328, 3660, 7251, 3555, 4587, 7578, 29538, 5367, 365, 691, 3714, 5172, 4587, 23328, 3660], "avg_logprob": -0.2832414180624719, "compression_ratio": 1.5423728813559323, "no_speech_prob": 0.0, "words": [{"start": 2968.67, "end": 2968.93, "word": "ماذا", "probability": 0.712646484375}, {"start": 2968.93, "end": 2969.25, "word": " رايك", "probability": 0.6666666666666666}, {"start": 2969.25, "end": 2969.39, "word": " في", "probability": 0.873046875}, {"start": 2969.39, "end": 2970.07, "word": " المعادلة", "probability": 0.945068359375}, {"start": 2970.07, "end": 2970.61, "word": " هذه", "probability": 0.53857421875}, {"start": 2970.61, "end": 2972.09, "word": " اللي", "probability": 0.5635986328125}, {"start": 2972.09, "end": 2972.37, "word": " بين", "probability": 0.97802734375}, {"start": 2972.37, "end": 2972.95, "word": " ادينا", "probability": 0.6446940104166666}, {"start": 2972.95, "end": 2973.65, "word": " فيها", "probability": 0.7008056640625}, {"start": 2973.65, "end": 2974.17, "word": " V", "probability": 0.68701171875}, {"start": 2974.17, "end": 2976.87, "word": " يعني", "probability": 0.884765625}, {"start": 2976.87, "end": 2977.29, "word": " equation", "probability": 0.82177734375}, {"start": 2977.29, "end": 2977.77, "word": " with", "probability": 0.87158203125}, {"start": 2977.77, "end": 2978.23, "word": " V", "probability": 0.78271484375}, {"start": 2978.23, "end": 2979.19, "word": " مفقودة", "probability": 0.88583984375}, {"start": 2979.19, "end": 2979.51, "word": " V", "probability": 0.40966796875}, {"start": 2979.51, "end": 2980.53, "word": " مفقودة", "probability": 0.809228515625}, {"start": 2980.53, "end": 2981.75, "word": " يبقى", "probability": 0.9024658203125}, {"start": 2981.75, "end": 2982.33, "word": " هذه", "probability": 0.65625}, {"start": 2982.33, "end": 2983.59, "word": " equation", "probability": 0.88037109375}, {"start": 2983.59, "end": 2985.51, "word": " with", "probability": 0.80419921875}, {"start": 2985.51, "end": 2987.75, "word": " V", "probability": 0.8994140625}, {"start": 2987.75, "end": 2988.97, "word": " مفقودة", "probability": 0.9013671875}], "temperature": 1.0}, {"id": 130, "seek": 301168, "start": 2990.7, "end": 3011.68, "text": "يبقى هذه مفقودة إذا بقدر أشيل ال V' و أضع بدلها Z مثلا يبقى pot و أضعنا Z تسوى V' هذا بدي أخبرك أن Z' يسوى VW' لأن V تعادل Y هناك", "tokens": [1829, 3555, 4587, 7578, 29538, 3714, 5172, 4587, 23328, 3660, 11933, 15730, 4724, 28543, 2288, 5551, 8592, 26895, 2423, 691, 6, 4032, 5551, 11242, 3615, 47525, 1211, 11296, 1176, 50113, 15040, 7251, 3555, 4587, 7578, 1847, 4032, 5551, 11242, 3615, 8315, 1176, 6055, 3794, 2407, 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المعادلة هادية على الشكل التالي بصير z prime زاد 2y prime على y1 2y prime على y1", "tokens": [3555, 9381, 13546, 9673, 3615, 18513, 37977, 8032, 18513, 10632, 15844, 25124, 28820, 16712, 6027, 1829, 4724, 9381, 13546, 710, 5835, 30767, 18513, 568, 88, 5835, 15844, 288, 16, 568, 88, 5835, 15844, 288, 16], "avg_logprob": -0.3750000066227383, "compression_ratio": 1.4333333333333333, "no_speech_prob": 0.0, "words": [{"start": 3011.86, "end": 3013.88, "word": "بصير", "probability": 0.6825358072916666}, {"start": 3013.88, "end": 3014.56, "word": " المعادلة", "probability": 0.7589111328125}, {"start": 3014.56, "end": 3014.96, "word": " هادية", "probability": 0.6564127604166666}, {"start": 3014.96, "end": 3015.18, "word": " على", "probability": 0.8095703125}, {"start": 3015.18, "end": 3015.86, "word": " الشكل", "probability": 0.909912109375}, {"start": 3015.86, "end": 3016.68, "word": " التالي", "probability": 0.95263671875}, {"start": 3016.68, "end": 3017.84, "word": " بصير", "probability": 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"text": "نزلنا الرتبة من الرتبة الثانية إلى الرتبة الأولى", "tokens": [1863, 11622, 1211, 8315, 34892, 2655, 49401, 9154, 34892, 2655, 49401, 6024, 104, 7649, 10632, 30731, 34892, 2655, 49401, 16247, 12610, 7578], "avg_logprob": -0.40013587993124256, "compression_ratio": 1.459016393442623, "no_speech_prob": 0.0, "words": [{"start": 3033.09, "end": 3034.09, "word": "نزلنا", "probability": 0.5989532470703125}, {"start": 3034.09, "end": 3034.61, "word": " الرتبة", "probability": 0.7892252604166666}, {"start": 3034.61, "end": 3034.75, "word": " من", "probability": 0.75634765625}, {"start": 3034.75, "end": 3035.23, "word": " الرتبة", "probability": 0.9210611979166666}, {"start": 3035.23, "end": 3035.61, "word": " الثانية", "probability": 0.83685302734375}, {"start": 3035.61, "end": 3035.85, "word": " إلى", "probability": 0.68359375}, {"start": 3035.85, "end": 3037.53, "word": " الرتبة", "probability": 0.8816731770833334}, {"start": 3037.53, "end": 3038.39, "word": " الأولى", "probability": 0.986328125}], "temperature": 1.0}, {"id": 133, "seek": 307854, "start": 3051.84, "end": 3078.54, "text": "that can be solved as before نقدر نحلها كما كنا نحل من قبل يبقى هذه اللي اسمها الطريقة يا بنات طريقة مين ال reduction of order عند حل هذه الأنواع من المسائل بدنا نمشي بنفس التكتيك النظري اللي مشينا فيه هنا قدامنا تماما", "tokens": [6780, 393, 312, 13041, 382, 949, 8717, 28543, 2288, 8717, 5016, 1211, 11296, 9122, 15042, 9122, 8315, 8717, 5016, 1211, 9154, 12174, 36150, 7251, 3555, 4587, 7578, 29538, 13672, 1829, 24525, 2304, 11296, 41950, 16572, 28671, 35186, 4724, 8315, 2655, 23032, 16572, 28671, 3714, 9957, 2423, 11004, 295, 1668, 43242, 11331, 1211, 29538, 16247, 1863, 14407, 3615, 9154, 9673, 3794, 16373, 1211, 47525, 8315, 8717, 2304, 8592, 1829, 44945, 36178, 16712, 4117, 31371, 4117, 28239, 19913, 16572, 13672, 1829, 37893, 1829, 8315, 8978, 3224, 34105, 12174, 3215, 10943, 8315, 46811, 10943, 995], "avg_logprob": -0.17338709228782243, "compression_ratio": 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"end": 3068.4, "word": " reduction", "probability": 0.900390625}, {"start": 3068.4, "end": 3069.02, "word": " of", "probability": 0.97900390625}, {"start": 3069.02, "end": 3069.52, "word": " order", "probability": 0.94677734375}, {"start": 3069.52, "end": 3070.28, "word": " عند", "probability": 0.9541015625}, {"start": 3070.28, "end": 3070.72, "word": " حل", "probability": 0.977294921875}, {"start": 3070.72, "end": 3071.06, "word": " هذه", "probability": 0.974609375}, {"start": 3071.06, "end": 3071.62, "word": " الأنواع", "probability": 0.960693359375}, {"start": 3071.62, "end": 3071.8, "word": " من", "probability": 0.96435546875}, {"start": 3071.8, "end": 3072.24, "word": " المسائل", "probability": 0.786376953125}, {"start": 3072.24, "end": 3072.58, "word": " بدنا", "probability": 0.808837890625}, {"start": 3072.58, "end": 3073.08, "word": " نمشي", "probability": 0.994873046875}, {"start": 3073.08, "end": 3073.54, "word": " بنفس", "probability": 0.97705078125}, {"start": 3073.54, "end": 3074.28, "word": " التكتيك", "probability": 0.8458251953125}, {"start": 3074.28, "end": 3074.96, "word": " النظري", "probability": 0.9407552083333334}, {"start": 3074.96, "end": 3075.62, "word": " اللي", "probability": 0.863525390625}, {"start": 3075.62, "end": 3076.14, "word": " مشينا", "probability": 0.8732096354166666}, {"start": 3076.14, "end": 3076.44, "word": " فيه", "probability": 0.975341796875}, {"start": 3076.44, "end": 3076.7, "word": " هنا", "probability": 0.8212890625}, {"start": 3076.7, "end": 3077.48, "word": " قدامنا", "probability": 0.970458984375}, {"start": 3077.48, "end": 3078.54, "word": " تماما", "probability": 0.99267578125}], "temperature": 1.0}, {"id": 134, "seek": 310512, "start": 3079.08, "end": 3105.12, "text": "يبقى حد في كل اي تساول هنا هنبدأ ناخد أمثلة توضحها بس قوليلي ها في تساول على الكلام هنا او في نقطة مش مفهومة كده طبعا function نفس التكتيك اللي كنا مش أخدنا equation with y missing وt missing is z هنا مكان ال y هناك بالضبط تماما ها في اي تساول 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"probability": 0.9638671875}, {"start": 3598.61, "end": 3599.23, "word": " كله", "probability": 0.94091796875}, {"start": 3599.23, "end": 3599.41, "word": " في", "probability": 0.97998046875}, {"start": 3599.41, "end": 3599.63, "word": " ال", "probability": 0.853515625}, {"start": 3599.63, "end": 3599.91, "word": " V", "probability": 0.990234375}, {"start": 3599.91, "end": 3601.59, "word": " زائد", "probability": 0.9755859375}, {"start": 3601.59, "end": 3602.47, "word": " تلاتة", "probability": 0.9444580078125}, {"start": 3602.47, "end": 3602.69, "word": " في", "probability": 0.96142578125}, {"start": 3602.69, "end": 3603.13, "word": " V", "probability": 0.98486328125}, {"start": 3603.13, "end": 3603.85, "word": " Prime", "probability": 0.83935546875}, {"start": 3603.85, "end": 3605.25, "word": " ناقص", "probability": 0.990478515625}, {"start": 3605.25, "end": 3606.53, "word": " تلاتة", "probability": 0.9886474609375}, {"start": 3606.53, "end": 3607.15, "word": " V", "probability": 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3611.11, "word": " V", "probability": 0.66650390625}, {"start": 3611.11, "end": 3611.57, "word": " على", "probability": 0.41162109375}, {"start": 3611.57, "end": 3612.05, "word": " T", "probability": 0.923828125}, {"start": 3612.05, "end": 3613.23, "word": " زائد", "probability": 0.8440755208333334}, {"start": 3613.23, "end": 3613.65, "word": " V", "probability": 0.97119140625}, {"start": 3613.65, "end": 3614.11, "word": " على", "probability": 0.81884765625}, {"start": 3614.11, "end": 3614.55, "word": " T", "probability": 0.9736328125}, {"start": 3614.55, "end": 3614.95, "word": " كله", "probability": 0.7890625}, {"start": 3614.95, "end": 3615.25, "word": " بده", "probability": 0.5074462890625}, {"start": 3615.25, "end": 3615.63, "word": " يساوي", "probability": 0.80560302734375}, {"start": 3615.63, "end": 3616.05, "word": " Zero", "probability": 0.498779296875}, {"start": 3616.05, "end": 3617.73, "word": " اتطلع", "probability": 0.694677734375}, {"start": 3617.73, "end": 3617.87, "word": " لي", "probability": 0.513671875}, {"start": 3617.87, "end": 3618.11, "word": " الى", "probability": 0.6051025390625}, {"start": 3618.11, "end": 3618.79, "word": " ناقص", "probability": 0.952880859375}, {"start": 3618.79, "end": 3619.67, "word": " اتنين", "probability": 0.9415283203125}, {"start": 3619.67, "end": 3620.45, "word": " V", "probability": 0.970703125}, {"start": 3620.45, "end": 3621.13, "word": " Prime", "probability": 0.296142578125}, {"start": 3621.13, "end": 3621.75, "word": " و", "probability": 0.61279296875}, {"start": 3621.75, "end": 3622.85, "word": " تلاتة", "probability": 0.8729248046875}, {"start": 3622.85, "end": 3623.37, "word": " V", "probability": 0.98095703125}, {"start": 3623.37, "end": 3624.55, "word": " Prime", "probability": 0.7451171875}], "temperature": 1.0}, {"id": 154, "seek": 363901, "start": 3625.17, "end": 3639.01, "text": "و تلاتة V' في غيرهم و مش غيرهم طيب بظل عندنا T في ال V Double Prime و بظل عندنا هنا زائد V Prime", "tokens": [2407, 6055, 1211, 9307, 3660, 691, 6, 8978, 32771, 13546, 16095, 4032, 37893, 32771, 13546, 16095, 23032, 1829, 3555, 4724, 19913, 1211, 43242, 8315, 314, 8978, 2423, 691, 16633, 9655, 4032, 4724, 19913, 1211, 43242, 8315, 34105, 30767, 16373, 3215, 691, 9655], "avg_logprob": -0.3719113302785297, "compression_ratio": 1.2758620689655173, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3625.17, "end": 3625.45, "word": "و", "probability": 0.236083984375}, {"start": 3625.45, "end": 3626.37, "word": " تلاتة", "probability": 0.77191162109375}, {"start": 3626.37, "end": 3626.79, "word": " V'", "probability": 0.55810546875}, {"start": 3627.55, "end": 3628.51, "word": " في", "probability": 0.8525390625}, {"start": 3628.51, "end": 3629.07, "word": " غيرهم", "probability": 0.9827473958333334}, {"start": 3629.07, "end": 3629.33, "word": " و", "probability": 0.63330078125}, {"start": 3629.33, "end": 3629.41, "word": " مش", "probability": 0.09173583984375}, {"start": 3629.41, "end": 3629.97, "word": " غيرهم", "probability": 0.9778645833333334}, {"start": 3629.97, "end": 3630.69, "word": " طيب", "probability": 0.81982421875}, {"start": 3630.69, "end": 3631.39, "word": " بظل", "probability": 0.7403971354166666}, {"start": 3631.39, "end": 3632.03, "word": " عندنا", "probability": 0.5911865234375}, {"start": 3632.03, "end": 3632.37, "word": " T", "probability": 0.8935546875}, {"start": 3632.37, "end": 3632.83, "word": " في", "probability": 0.85791015625}, {"start": 3632.83, "end": 3633.03, "word": " ال", "probability": 0.55859375}, {"start": 3633.03, "end": 3633.35, "word": " V", "probability": 0.88671875}, {"start": 3633.35, "end": 3633.85, "word": " Double", "probability": 0.3251953125}, {"start": 3633.85, "end": 3634.65, "word": " Prime", "probability": 0.66552734375}, {"start": 3634.65, "end": 3635.39, "word": " و", "probability": 0.65576171875}, {"start": 3635.39, "end": 3635.87, "word": " بظل", "probability": 0.9334309895833334}, {"start": 3635.87, "end": 3636.35, "word": " عندنا", "probability": 0.962890625}, {"start": 3636.35, "end": 3636.71, "word": " هنا", "probability": 0.900390625}, {"start": 3636.71, "end": 3637.83, "word": " زائد", "probability": 0.702880859375}, {"start": 3637.83, "end": 3638.27, "word": " V", "probability": 0.98291015625}, {"start": 3638.27, "end": 3639.01, "word": " Prime", "probability": 0.56640625}], "temperature": 1.0}, {"id": 155, "seek": 367021, "start": 3641.23, "end": 3670.21, "text": "2 على T واحدة يبقى هذه مع هذه بيصيروا تلاتة مع سالب تلاتة مع السلامة بروح هذا الكلام بده يساوي مين بده يساوي زرع زي ما انت شايف ال equation with v missing يبقى هذه equation with v missing طيب تمام", "tokens": [17, 15844, 314, 36764, 24401, 3660, 7251, 3555, 4587, 7578, 29538, 20449, 29538, 4724, 1829, 9381, 13546, 14407, 6055, 1211, 9307, 3660, 20449, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 20449, 21136, 37440, 3660, 4724, 32887, 5016, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 3714, 9957, 47525, 3224, 7251, 3794, 995, 45865, 30767, 2288, 3615, 30767, 1829, 19446, 16472, 2655, 13412, 995, 33911, 2423, 5367, 365, 371, 5361, 7251, 3555, 4587, 7578, 29538, 5367, 365, 371, 5361, 23032, 1829, 3555, 46811, 10943], "avg_logprob": -0.23582848352055216, "compression_ratio": 1.7919075144508672, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3641.23, "end": 3641.97, "word": "2", "probability": 0.156494140625}, {"start": 3641.97, "end": 3642.61, "word": " على", "probability": 0.146484375}, {"start": 3642.61, "end": 3643.07, "word": " T", "probability": 0.68115234375}, {"start": 3643.07, "end": 3643.87, "word": " واحدة", "probability": 0.756591796875}, {"start": 3643.87, "end": 3644.41, "word": " يبقى", "probability": 0.916259765625}, {"start": 3644.41, "end": 3644.85, "word": " هذه", "probability": 0.65625}, {"start": 3644.85, "end": 3645.17, "word": " مع", "probability": 0.67041015625}, {"start": 3645.17, "end": 3645.59, "word": " هذه", "probability": 0.90185546875}, {"start": 3645.59, "end": 3646.25, "word": " بيصيروا", "probability": 0.68056640625}, {"start": 3646.25, "end": 3646.81, "word": " تلاتة", "probability": 0.83203125}, {"start": 3646.81, "end": 3647.01, "word": " مع", "probability": 0.97265625}, {"start": 3647.01, "end": 3647.49, "word": " سالب", "probability": 0.7440592447916666}, {"start": 3647.49, "end": 3648.25, "word": " تلاتة", "probability": 0.9600830078125}, {"start": 3648.25, "end": 3648.91, "word": " مع", "probability": 0.94091796875}, {"start": 3648.91, "end": 3650.03, "word": " السلامة", "probability": 0.8722330729166666}, {"start": 3650.03, "end": 3651.19, "word": " بروح", "probability": 0.80859375}, {"start": 3651.19, "end": 3651.75, "word": " هذا", "probability": 0.89697265625}, {"start": 3651.75, "end": 3652.45, "word": " الكلام", "probability": 0.9599609375}, {"start": 3652.45, "end": 3652.77, "word": " بده", "probability": 0.73291015625}, {"start": 3652.77, "end": 3653.11, "word": " يساوي", "probability": 0.833251953125}, {"start": 3653.11, "end": 3653.55, "word": " مين", "probability": 0.689208984375}, {"start": 3653.55, "end": 3654.13, "word": " بده", "probability": 0.7259521484375}, {"start": 3654.13, "end": 3654.77, "word": " يساوي", "probability": 0.9879150390625}, {"start": 3654.77, "end": 3655.57, "word": " زرع", "probability": 0.496826171875}, {"start": 3655.57, "end": 3656.45, "word": " زي", "probability": 0.930908203125}, {"start": 3656.45, "end": 3656.53, "word": " ما", "probability": 0.8564453125}, {"start": 3656.53, "end": 3656.65, "word": " انت", "probability": 0.773681640625}, {"start": 3656.65, "end": 3656.87, "word": " شايف", "probability": 0.9137369791666666}, {"start": 3656.87, "end": 3656.97, "word": " ال", "probability": 0.420654296875}, {"start": 3656.97, "end": 3657.67, "word": " equation", "probability": 0.9697265625}, {"start": 3657.67, "end": 3658.41, "word": " with", "probability": 0.8427734375}, {"start": 3658.41, "end": 3658.97, "word": " v", "probability": 0.51025390625}, {"start": 3658.97, "end": 3659.93, "word": " missing", "probability": 0.9365234375}, {"start": 3659.93, "end": 3661.17, "word": " يبقى", "probability": 0.9698486328125}, {"start": 3661.17, "end": 3661.69, "word": " هذه", "probability": 0.8525390625}, {"start": 3661.69, "end": 3662.93, "word": " equation", "probability": 0.94384765625}, {"start": 3662.93, "end": 3664.75, "word": " with", "probability": 0.90380859375}, {"start": 3664.75, "end": 3666.27, "word": " v", "probability": 0.93994140625}, {"start": 3666.27, "end": 3668.09, "word": " missing", "probability": 0.95166015625}, {"start": 3668.09, "end": 3669.67, "word": " طيب", "probability": 0.9373372395833334}, {"start": 3669.67, "end": 3670.21, "word": " تمام", "probability": 0.98583984375}], "temperature": 1.0}, {"id": 156, "seek": 369925, "start": 3670.73, "end": 3699.25, "text": "اذا بدي اقول let z تسوى v prime هذا بدي اعطيك ان z prime بدي تسوى v double prime يبقى لتصبح المعادلة T z prime زائد z بدي سوى قداش zero او بقدر اقول لو z prime زائد واحد على T في z", "tokens": [45636, 995, 4724, 16254, 1975, 39648, 718, 710, 6055, 3794, 2407, 7578, 371, 5835, 23758, 4724, 16254, 1975, 3615, 9566, 1829, 4117, 16472, 710, 5835, 4724, 16254, 6055, 3794, 2407, 7578, 371, 3834, 5835, 7251, 3555, 4587, 7578, 5296, 2655, 9381, 49628, 9673, 3615, 18513, 37977, 314, 710, 5835, 30767, 16373, 3215, 710, 4724, 16254, 8608, 2407, 7578, 12174, 3215, 33599, 4018, 1975, 2407, 4724, 28543, 2288, 1975, 39648, 45164, 710, 5835, 30767, 16373, 3215, 36764, 24401, 15844, 314, 8978, 710], "avg_logprob": -0.3104039568726609, "compression_ratio": 1.6363636363636365, "no_speech_prob": 0.0, "words": [{"start": 3670.73, "end": 3671.39, "word": "اذا", "probability": 0.43560791015625}, {"start": 3671.39, "end": 3672.03, "word": " بدي", "probability": 0.4208984375}, {"start": 3672.03, "end": 3672.71, "word": " اقول", "probability": 0.767333984375}, {"start": 3672.71, "end": 3673.35, "word": " let", "probability": 0.44482421875}, {"start": 3673.35, "end": 3674.19, "word": " z", "probability": 0.70751953125}, {"start": 3674.19, "end": 3675.09, "word": " تسوى", "probability": 0.5232372283935547}, {"start": 3675.09, "end": 3675.43, "word": " v", "probability": 0.7451171875}, {"start": 3675.43, "end": 3676.07, "word": " prime", "probability": 0.303955078125}, {"start": 3676.07, "end": 3676.77, "word": " هذا", "probability": 0.68017578125}, {"start": 3676.77, "end": 3677.13, "word": " بدي", "probability": 0.655517578125}, {"start": 3677.13, "end": 3677.71, "word": " اعطيك", "probability": 0.776708984375}, {"start": 3677.71, "end": 3677.95, "word": " ان", "probability": 0.9052734375}, {"start": 3677.95, "end": 3678.27, "word": " z", "probability": 0.55908203125}, {"start": 3678.27, "end": 3678.99, "word": " prime", "probability": 0.603515625}, {"start": 3678.99, "end": 3679.27, "word": " بدي", "probability": 0.612060546875}, {"start": 3679.27, "end": 3679.83, "word": " تسوى", "probability": 0.94677734375}, {"start": 3679.83, "end": 3680.21, "word": " v", "probability": 0.77294921875}, {"start": 3680.21, "end": 3680.81, "word": " double", "probability": 0.76220703125}, {"start": 3680.81, "end": 3681.51, "word": " prime", "probability": 0.87353515625}, {"start": 3681.51, "end": 3682.41, "word": " يبقى", "probability": 0.9295654296875}, {"start": 3682.41, "end": 3683.09, "word": " لتصبح", "probability": 0.79656982421875}, {"start": 3683.09, "end": 3684.11, "word": " المعادلة", "probability": 0.98388671875}, {"start": 3684.11, "end": 3684.87, "word": " T", "probability": 0.1500244140625}, {"start": 3684.87, "end": 3685.85, "word": " z", "probability": 0.8251953125}, {"start": 3685.85, "end": 3686.85, "word": " prime", "probability": 0.81982421875}, {"start": 3686.85, "end": 3688.09, "word": " زائد", "probability": 0.8009440104166666}, {"start": 3688.09, "end": 3688.57, "word": " z", "probability": 0.8935546875}, {"start": 3688.57, "end": 3689.21, "word": " بدي", "probability": 0.774658203125}, {"start": 3689.21, "end": 3689.61, "word": " سوى", "probability": 0.7266438802083334}, {"start": 3689.61, "end": 3690.37, "word": " قداش", "probability": 0.8107096354166666}, {"start": 3690.37, "end": 3691.27, "word": " zero", "probability": 0.416259765625}, {"start": 3691.27, "end": 3692.35, "word": " او", "probability": 0.933837890625}, {"start": 3692.35, "end": 3693.25, "word": " بقدر", "probability": 0.9773763020833334}, {"start": 3693.25, "end": 3694.07, "word": " اقول", "probability": 0.968994140625}, {"start": 3694.07, "end": 3694.39, "word": " لو", "probability": 0.3447265625}, {"start": 3694.39, "end": 3694.87, "word": " z", "probability": 0.9189453125}, {"start": 3694.87, "end": 3695.83, "word": " prime", "probability": 0.8828125}, {"start": 3695.83, "end": 3696.77, "word": " زائد", "probability": 0.9698893229166666}, {"start": 3696.77, "end": 3697.49, "word": " واحد", "probability": 0.92529296875}, {"start": 3697.49, "end": 3697.97, "word": " على", "probability": 0.595703125}, {"start": 3697.97, "end": 3698.45, "word": " T", "probability": 0.87939453125}, {"start": 3698.45, "end": 3698.75, "word": " في", "probability": 0.912109375}, {"start": 3698.75, "end": 3699.25, "word": " z", "probability": 0.86572265625}], "temperature": 1.0}, {"id": 157, "seek": 371041, "start": 3699.55, "end": 3710.41, "text": "يبدو يساوي zero او بقدر اقول z prime على z يساوي ناقص واحد على T", "tokens": [1829, 44510, 2407, 7251, 3794, 995, 45865, 4018, 1975, 2407, 4724, 28543, 2288, 1975, 39648, 710, 5835, 15844, 710, 7251, 3794, 995, 45865, 8717, 995, 4587, 9381, 36764, 24401, 15844, 314], "avg_logprob": -0.3869628896936774, "compression_ratio": 1.1590909090909092, "no_speech_prob": 0.0, "words": [{"start": 3699.55, "end": 3700.11, "word": "يبدو", "probability": 0.387451171875}, {"start": 3700.11, "end": 3700.87, "word": " يساوي", "probability": 0.8077392578125}, {"start": 3700.87, "end": 3701.47, "word": " zero", "probability": 0.1199951171875}, {"start": 3701.47, "end": 3702.59, "word": " او", "probability": 0.748291015625}, {"start": 3702.59, "end": 3703.47, "word": " بقدر", "probability": 0.7766927083333334}, {"start": 3703.47, "end": 3703.97, "word": " اقول", "probability": 0.9453125}, {"start": 3703.97, "end": 3704.43, "word": " z", "probability": 0.6640625}, {"start": 3704.43, "end": 3705.31, "word": " prime", "probability": 0.428955078125}, {"start": 3705.31, "end": 3706.13, "word": " على", "probability": 0.6376953125}, {"start": 3706.13, "end": 3706.71, "word": " z", "probability": 0.9755859375}, {"start": 3706.71, "end": 3708.05, "word": " يساوي", "probability": 0.9560546875}, {"start": 3708.05, "end": 3709.09, "word": " ناقص", "probability": 0.819091796875}, {"start": 3709.09, "end": 3709.77, "word": " واحد", "probability": 0.9404296875}, {"start": 3709.77, "end": 3710.11, "word": " على", "probability": 0.5693359375}, {"start": 3710.11, "end": 3710.41, "word": " T", "probability": 0.509765625}], "temperature": 1.0}, {"id": 158, "seek": 373449, "start": 3712.45, "end": 3734.49, "text": "إن كامل يبقى هذا الكلام لين absolute value لز يسوى ناقص لين absolute value ل T زاد constant C1 شو رأيك أجيب اللي نات عن بعض", "tokens": [28814, 1863, 9122, 10943, 1211, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 5296, 9957, 8236, 2158, 5296, 11622, 7251, 3794, 2407, 7578, 8717, 995, 4587, 9381, 5296, 9957, 8236, 2158, 5296, 314, 30767, 18513, 5754, 383, 16, 13412, 2407, 12602, 10721, 1829, 4117, 5551, 7435, 1829, 3555, 13672, 1829, 8717, 9307, 18871, 45030, 11242], "avg_logprob": -0.3543526918760368, "compression_ratio": 1.3049645390070923, "no_speech_prob": 0.0, "words": [{"start": 3712.45, "end": 3712.81, "word": "إن", "probability": 0.4100341796875}, {"start": 3712.81, "end": 3713.43, "word": " كامل", "probability": 0.9186197916666666}, {"start": 3713.43, "end": 3714.69, "word": " يبقى", "probability": 0.9254150390625}, {"start": 3714.69, "end": 3715.03, "word": " هذا", "probability": 0.94970703125}, {"start": 3715.03, "end": 3715.69, "word": " الكلام", "probability": 0.9241536458333334}, {"start": 3715.69, "end": 3718.39, "word": " لين", "probability": 0.48895263671875}, {"start": 3718.39, "end": 3719.55, "word": " absolute", "probability": 0.5244140625}, {"start": 3719.55, "end": 3720.63, "word": " value", "probability": 0.98291015625}, {"start": 3720.63, "end": 3721.25, "word": " لز", "probability": 0.4898681640625}, {"start": 3721.25, "end": 3722.79, "word": " يسوى", "probability": 0.8455810546875}, {"start": 3722.79, "end": 3723.79, "word": " ناقص", "probability": 0.84478759765625}, {"start": 3723.79, "end": 3724.51, "word": " لين", "probability": 0.88525390625}, {"start": 3724.51, "end": 3725.49, "word": " absolute", "probability": 0.923828125}, {"start": 3725.49, "end": 3726.57, "word": " value", "probability": 0.98876953125}, {"start": 3726.57, "end": 3726.91, "word": " ل", "probability": 0.98193359375}, {"start": 3726.91, "end": 3727.49, "word": " T", "probability": 0.430419921875}, {"start": 3727.49, "end": 3729.07, "word": " زاد", "probability": 0.4197998046875}, {"start": 3729.07, "end": 3729.79, "word": " constant", "probability": 0.279296875}, {"start": 3729.79, "end": 3730.97, "word": " C1", "probability": 0.667724609375}, {"start": 3730.97, "end": 3732.53, "word": " شو", "probability": 0.84326171875}, {"start": 3732.53, "end": 3732.81, "word": " رأيك", "probability": 0.9000244140625}, {"start": 3732.81, "end": 3733.11, "word": " أجيب", "probability": 0.85943603515625}, {"start": 3733.11, "end": 3733.29, "word": " اللي", "probability": 0.45404052734375}, {"start": 3733.29, "end": 3733.65, "word": " نات", "probability": 0.358642578125}, {"start": 3733.65, "end": 3733.91, "word": " عن", "probability": 0.921875}, {"start": 3733.91, "end": 3734.49, "word": " بعض", "probability": 0.984375}], "temperature": 1.0}, {"id": 159, "seek": 376414, "start": 3735.28, "end": 3764.14, "text": "يبقى لو جبت بتيجي بشارات موجب يبقى هنا اش بصير بصير لن absolute value ل Z لن absolute value ل T تساوي C1 اظن لن زائد لن تعني لن حاصل الدرب يبقى بصير عندنا لن absolute value ل ZT يساوي C1 اضايق ال exponential", "tokens": [1829, 3555, 4587, 7578, 45164, 10874, 3555, 2655, 39894, 1829, 7435, 1829, 4724, 8592, 9640, 9307, 3714, 29245, 3555, 7251, 3555, 4587, 7578, 34105, 1975, 8592, 4724, 9381, 13546, 4724, 9381, 13546, 5296, 1863, 8236, 2158, 5296, 1176, 5296, 1863, 8236, 2158, 5296, 314, 6055, 3794, 995, 45865, 383, 16, 1975, 19913, 1863, 5296, 1863, 30767, 16373, 3215, 5296, 1863, 37279, 22653, 5296, 1863, 11331, 33546, 1211, 32748, 25513, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 43242, 8315, 5296, 1863, 8236, 2158, 5296, 1176, 51, 7251, 3794, 995, 45865, 383, 16, 1975, 11242, 47302, 4587, 2423, 21510], "avg_logprob": -0.23804208666694407, "compression_ratio": 1.7486033519553073, "no_speech_prob": 0.300048828125, "words": [{"start": 3735.28, "end": 3735.68, "word": "يبقى", "probability": 0.74444580078125}, {"start": 3735.68, "end": 3735.9, "word": " لو", "probability": 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value", "probability": 0.99072265625}, {"start": 3743.58, "end": 3743.78, "word": " ل", "probability": 0.81103515625}, {"start": 3743.78, "end": 3744.18, "word": " Z", "probability": 0.281005859375}, {"start": 3744.18, "end": 3745.3, "word": " لن", "probability": 0.892333984375}, {"start": 3745.3, "end": 3746.06, "word": " absolute", "probability": 0.92529296875}, {"start": 3746.06, "end": 3746.76, "word": " value", "probability": 0.98974609375}, {"start": 3746.76, "end": 3747.04, "word": " ل", "probability": 0.97998046875}, {"start": 3747.04, "end": 3747.3, "word": " T", "probability": 0.85205078125}, {"start": 3747.3, "end": 3748.0, "word": " تساوي", "probability": 0.69818115234375}, {"start": 3748.0, "end": 3748.8, "word": " C1", "probability": 0.847900390625}, {"start": 3748.8, "end": 3750.3, "word": " اظن", "probability": 0.9085286458333334}, {"start": 3750.3, "end": 3750.86, "word": " لن", "probability": 0.934814453125}, {"start": 3750.86, "end": 3751.4, "word": " زائد", 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سالبة", "probability": 0.91015625}, {"start": 3777.96, "end": 3778.92, "word": " يبقى", "probability": 0.9532470703125}, {"start": 3778.92, "end": 3778.98, "word": " ال", "probability": 0.4384765625}, {"start": 3778.98, "end": 3779.66, "word": " absolute", "probability": 0.97021484375}, {"start": 3779.66, "end": 3779.94, "word": " هو", "probability": 0.76806640625}, {"start": 3779.94, "end": 3780.4, "word": " guilt", "probability": 0.185302734375}], "temperature": 1.0}, {"id": 161, "seek": 380315, "start": 3781.01, "end": 3803.15, "text": "يبقى باجي بقول يبقى Z T يساوي C و R C تساوي E و C1 مش E و C1 مقدار ثابت بده ساميها C أسهلي يبقى بناء عليه بصير Z اللي هي تساوي مين يا بنات فرضناها", "tokens": [1829, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 7251, 3555, 4587, 7578, 1176, 314, 7251, 3794, 995, 45865, 383, 4032, 497, 383, 6055, 3794, 995, 45865, 462, 4032, 383, 16, 37893, 462, 4032, 383, 16, 3714, 28543, 9640, 38637, 16758, 2655, 47525, 3224, 8608, 10943, 1829, 11296, 383, 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"probability": 0.99267578125}, {"start": 3793.83, "end": 3794.61, "word": " بده", "probability": 0.4996337890625}, {"start": 3794.61, "end": 3795.13, "word": " ساميها", "probability": 0.77008056640625}, {"start": 3795.13, "end": 3795.45, "word": " C", "probability": 0.446533203125}, {"start": 3795.45, "end": 3796.21, "word": " أسهلي", "probability": 0.85693359375}, {"start": 3796.21, "end": 3797.17, "word": " يبقى", "probability": 0.9512939453125}, {"start": 3797.17, "end": 3797.57, "word": " بناء", "probability": 0.970703125}, {"start": 3797.57, "end": 3798.23, "word": " عليه", "probability": 0.92236328125}, {"start": 3798.23, "end": 3798.83, "word": " بصير", "probability": 0.9254557291666666}, {"start": 3798.83, "end": 3799.53, "word": " Z", "probability": 0.59228515625}, {"start": 3799.53, "end": 3800.77, "word": " اللي", "probability": 0.671630859375}, {"start": 3800.77, "end": 3800.97, "word": " هي", "probability": 0.53662109375}, {"start": 3800.97, "end": 3801.47, "word": " تساوي", "probability": 0.9658203125}, {"start": 3801.47, "end": 3801.73, "word": " مين", "probability": 0.74609375}, {"start": 3801.73, "end": 3801.85, "word": " يا", "probability": 0.984375}, {"start": 3801.85, "end": 3802.27, "word": " بنات", "probability": 0.9259440104166666}, {"start": 3802.27, "end": 3803.15, "word": " فرضناها", "probability": 0.9603271484375}], "temperature": 1.0}, {"id": 162, "seek": 381487, "start": 3804.57, "end": 3814.87, "text": "V' بده يساوي C على T طبعا هذه Z زي ما شايفين", "tokens": [53, 6, 47525, 3224, 7251, 3794, 995, 45865, 383, 15844, 314, 23032, 3555, 3615, 995, 29538, 1176, 30767, 1829, 19446, 13412, 995, 33911, 9957], "avg_logprob": -0.5168749809265136, "compression_ratio": 0.9473684210526315, "no_speech_prob": 0.0, "words": [{"start": 3804.57, "end": 3804.97, "word": "V'", "probability": 0.266357421875}, {"start": 3807.61, "end": 3808.57, "word": " بده", "probability": 0.22977447509765625}, {"start": 3808.57, "end": 3810.65, "word": " يساوي", 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طبعا يبقى لا داعي لل absolute value", "tokens": [1829, 3555, 4587, 7578, 383, 15844, 314, 23032, 1829, 3555, 16472, 9122, 10943, 1211, 41950, 28480, 9957, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 37495, 9566, 1829, 8315, 691, 295, 314, 47525, 3224, 8608, 2407, 7578, 383, 5296, 28814, 1863, 314, 47525, 11536, 8236, 2158, 32239, 8592, 22807, 5296, 33456, 3224, 50239, 34105, 8978, 9673, 12984, 37977, 314, 5044, 813, 1958, 23032, 3555, 3615, 995, 7251, 3555, 4587, 7578, 20193, 11778, 45761, 1829, 24976, 8236, 2158], "avg_logprob": -0.2640016311174863, "compression_ratio": 1.453551912568306, "no_speech_prob": 0.0, "words": [{"start": 3815.4, "end": 3815.96, "word": "يبقى", "probability": 0.823974609375}, {"start": 3815.96, "end": 3816.28, "word": " C", "probability": 0.454833984375}, {"start": 3816.28, "end": 3816.92, "word": " على", "probability": 0.513671875}, {"start": 3816.92, "end": 3817.46, "word": " T", "probability": 0.97119140625}, {"start": 3817.46, "end": 3819.5, "word": " طيب", "probability": 0.8118489583333334}, {"start": 3819.5, "end": 3819.74, "word": " ان", "probability": 0.387451171875}, {"start": 3819.74, "end": 3820.26, "word": " كامل", "probability": 0.83740234375}, {"start": 3820.26, "end": 3821.12, "word": " الطرفين", "probability": 0.9698893229166666}, {"start": 3821.12, "end": 3822.3, "word": " يبقى", "probability": 0.96044921875}, {"start": 3822.3, "end": 3822.66, "word": " هذا", "probability": 0.9169921875}, {"start": 3822.66, "end": 3823.26, "word": " بده", "probability": 0.48443603515625}, {"start": 3823.26, "end": 3824.32, "word": " يعطينا", "probability": 0.9119873046875}, {"start": 3824.32, "end": 3824.78, "word": " V", "probability": 0.8701171875}, {"start": 3824.78, "end": 3825.56, "word": " of", "probability": 0.8603515625}, {"start": 3825.56, "end": 3826.06, "word": " T", "probability": 0.97021484375}, {"start": 3826.06, "end": 3827.12, "word": " بده", "probability": 0.775634765625}, {"start": 3827.12, "end": 3827.68, "word": " سوى", "probability": 0.6669108072916666}, {"start": 3827.68, "end": 3828.46, "word": " C", "probability": 0.9658203125}, {"start": 3828.46, "end": 3829.9, "word": " لإن", "probability": 0.6909586588541666}, {"start": 3829.9, "end": 3830.6, "word": " T", "probability": 0.6787109375}, {"start": 3830.6, "end": 3831.4, "word": " بدون", "probability": 0.9296875}, {"start": 3831.4, "end": 3831.96, "word": " absolute", "probability": 0.6787109375}, {"start": 3831.96, "end": 3832.52, "word": " value", "probability": 0.98974609375}, {"start": 3832.52, "end": 3833.48, "word": " ليش؟", "probability": 0.6290690104166666}, {"start": 3833.48, "end": 3833.92, "word": " لأنه", "probability": 0.8235677083333334}, {"start": 3833.92, "end": 3834.18, "word": " قال", "probability": 0.884765625}, {"start": 3834.18, "end": 3834.5, "word": " هنا", "probability": 0.95263671875}, {"start": 3834.5, "end": 3834.68, "word": " في", "probability": 0.96728515625}, {"start": 3834.68, "end": 3835.5, "word": " المثلة", "probability": 0.8966471354166666}, {"start": 3835.5, "end": 3836.22, "word": " T", "probability": 0.84521484375}, {"start": 3836.22, "end": 3836.7, "word": " greater", "probability": 0.74365234375}, {"start": 3836.7, "end": 3837.28, "word": " than", "probability": 0.93115234375}, {"start": 3837.28, "end": 3837.76, "word": " 0", "probability": 0.446533203125}, {"start": 3837.76, "end": 3838.42, "word": " طبعا", "probability": 0.7042236328125}, {"start": 3838.42, "end": 3838.72, "word": " يبقى", "probability": 0.8369140625}, {"start": 3838.72, "end": 3838.88, "word": " لا", "probability": 0.8896484375}, {"start": 3838.88, "end": 3839.3, "word": " داعي", "probability": 0.9661458333333334}, {"start": 3839.3, "end": 3839.5, "word": " لل", "probability": 0.4501953125}, {"start": 3839.5, "end": 3840.04, "word": " absolute", "probability": 0.89111328125}, {"start": 3840.04, "end": 3840.98, "word": " value", "probability": 0.98681640625}], "temperature": 1.0}, {"id": 164, "seek": 385289, "start": 3841.57, "end": 3852.89, "text": "طيب هدى مين؟ V of T يبقى C لإن T زاد constant لمن C تولى ثابت التكامل", "tokens": [9566, 1829, 3555, 8032, 3215, 7578, 3714, 9957, 22807, 691, 295, 314, 7251, 3555, 4587, 7578, 383, 5296, 28814, 1863, 314, 30767, 18513, 5754, 5296, 27842, 383, 6055, 12610, 7578, 38637, 16758, 2655, 16712, 4117, 10943, 1211], "avg_logprob": -0.3394325548096707, "compression_ratio": 1.0808080808080809, "no_speech_prob": 0.0, "words": [{"start": 3841.57, "end": 3841.95, "word": "طيب", "probability": 0.6456705729166666}, {"start": 3841.95, "end": 3842.39, "word": " هدى", "probability": 0.4253743489583333}, {"start": 3842.39, "end": 3843.27, "word": " مين؟", "probability": 0.6585286458333334}, {"start": 3843.27, "end": 3843.57, "word": " V", "probability": 0.77880859375}, {"start": 3843.57, "end": 3844.15, "word": " of", "probability": 0.73583984375}, {"start": 3844.15, "end": 3844.45, "word": " T", "probability": 0.958984375}, {"start": 3844.45, "end": 3845.37, "word": " يبقى", "probability": 0.9493408203125}, {"start": 3845.37, "end": 3845.67, "word": " C", "probability": 0.873046875}, {"start": 3845.67, "end": 3846.43, "word": " لإن", "probability": 0.8302408854166666}, {"start": 3846.43, "end": 3847.11, "word": " T", "probability": 0.7177734375}, {"start": 3847.11, "end": 3848.15, "word": " زاد", "probability": 0.657958984375}, {"start": 3848.15, "end": 3848.71, "word": " constant", "probability": 0.35693359375}, {"start": 3848.71, "end": 3849.67, "word": " لمن", "probability": 0.5050048828125}, {"start": 3849.67, "end": 3850.57, "word": " C", "probability": 0.54443359375}, {"start": 3850.57, "end": 3851.45, "word": " تولى", "probability": 0.783203125}, {"start": 3851.45, "end": 3852.07, "word": " ثابت", "probability": 0.8714192708333334}, {"start": 3852.07, "end": 3852.89, "word": " التكامل", "probability": 0.94775390625}], "temperature": 1.0}, {"id": 165, "seek": 388150, "start": 3853.22, "end": 3881.5, "text": "بنان عليه بقدر اخد c بواحد و بقدر اخد c اتنين يبقى داشر بزيرو يبقى هنا take c تساوي واحد صحيح and c اتنين يساوي زيرو we get بنحصل علامين على v of t بده يساوي لان ال t", "tokens": [3555, 1863, 7649, 47356, 4724, 28543, 2288, 1975, 9778, 3215, 269, 4724, 14407, 24401, 4032, 4724, 28543, 2288, 1975, 9778, 3215, 269, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 11778, 33599, 2288, 4724, 11622, 13546, 2407, 7251, 3555, 4587, 7578, 34105, 747, 269, 6055, 3794, 995, 45865, 36764, 24401, 20328, 5016, 1829, 5016, 293, 269, 1975, 2655, 1863, 9957, 7251, 3794, 995, 45865, 30767, 13546, 2407, 321, 483, 44945, 5016, 36520, 11203, 10943, 9957, 15844, 371, 295, 256, 47525, 3224, 7251, 3794, 995, 45865, 5296, 7649, 2423, 256], "avg_logprob": -0.30798611872726017, "compression_ratio": 1.7278481012658229, "no_speech_prob": 0.0, "words": [{"start": 3853.22, "end": 3854.0, "word": "بنان", "probability": 0.4961751302083333}, {"start": 3854.0, "end": 3854.4, "word": " عليه", "probability": 0.50732421875}, {"start": 3854.4, "end": 3854.86, "word": " بقدر", "probability": 0.7259114583333334}, {"start": 3854.86, "end": 3855.18, "word": " اخد", "probability": 0.74658203125}, {"start": 3855.18, "end": 3855.38, "word": " c", "probability": 0.340576171875}, {"start": 3855.38, "end": 3856.02, "word": " بواحد", "probability": 0.6629231770833334}, {"start": 3856.02, "end": 3856.46, "word": " و", "probability": 0.54345703125}, {"start": 3856.46, "end": 3856.84, "word": " بقدر", "probability": 0.9244791666666666}, {"start": 3856.84, "end": 3857.14, "word": " اخد", "probability": 0.9484049479166666}, {"start": 3857.14, "end": 3857.5, "word": " c", "probability": 0.849609375}, {"start": 3857.5, "end": 3858.06, "word": " اتنين", "probability": 0.8560791015625}, {"start": 3858.06, "end": 3858.26, "word": " يبقى", "probability": 0.76416015625}, {"start": 3858.26, "end": 3859.08, "word": " داشر", "probability": 0.3387858072916667}, {"start": 3859.08, "end": 3860.08, "word": " بزيرو", "probability": 0.6729736328125}, {"start": 3860.08, "end": 3861.1, "word": " يبقى", "probability": 0.948486328125}, {"start": 3861.1, "end": 3861.64, "word": " هنا", "probability": 0.9365234375}, {"start": 3861.64, "end": 3863.12, "word": " take", "probability": 0.25048828125}, {"start": 3863.12, "end": 3864.4, "word": " c", "probability": 0.75732421875}, {"start": 3864.4, "end": 3865.34, "word": " تساوي", "probability": 0.7701416015625}, {"start": 3865.34, "end": 3866.18, "word": " واحد", "probability": 0.9794921875}, {"start": 3866.18, "end": 3867.08, "word": " صحيح", "probability": 0.980712890625}, {"start": 3867.08, "end": 3868.54, "word": " and", "probability": 0.8056640625}, {"start": 3868.54, "end": 3869.4, "word": " c", "probability": 0.892578125}, {"start": 3869.4, "end": 3870.38, "word": " اتنين", "probability": 0.9259033203125}, {"start": 3870.38, "end": 3871.22, "word": " يساوي", "probability": 0.9747314453125}, {"start": 3871.22, "end": 3872.3, "word": " زيرو", "probability": 0.8006184895833334}, {"start": 3872.3, "end": 3872.66, "word": " we", "probability": 0.295654296875}, {"start": 3872.66, "end": 3874.04, "word": " get", "probability": 0.92822265625}, {"start": 3874.04, "end": 3874.76, "word": " بنحصل", "probability": 0.86669921875}, {"start": 3874.76, "end": 3875.4, "word": " علامين", "probability": 0.775146484375}, {"start": 3875.4, "end": 3876.54, "word": " على", "probability": 0.71435546875}, {"start": 3876.54, "end": 3877.34, "word": " v", "probability": 0.5556640625}, {"start": 3877.34, "end": 3878.16, "word": " of", "probability": 0.93994140625}, {"start": 3878.16, "end": 3878.58, "word": " t", "probability": 0.90673828125}, {"start": 3878.58, "end": 3879.42, "word": " بده", "probability": 0.547607421875}, {"start": 3879.42, "end": 3880.06, "word": " يساوي", "probability": 0.9639892578125}, {"start": 3880.06, "end": 3880.86, "word": " لان", "probability": 0.55078125}, {"start": 3880.86, "end": 3881.26, "word": " ال", "probability": 0.763671875}, {"start": 3881.26, "end": 3881.5, "word": " t", "probability": 0.470458984375}], "temperature": 1.0}, {"id": 166, "seek": 390543, "start": 3881.87, "end": 3905.43, "text": "يبقى هذا بده يعطيلك the other solution is هه ال Y2 بده ساوي V of T في 1 على T يبقى لإن T على T", "tokens": [1829, 3555, 4587, 7578, 23758, 47525, 3224, 37495, 9566, 1829, 23275, 264, 661, 3827, 307, 8032, 3224, 2423, 398, 17, 47525, 3224, 8608, 995, 45865, 691, 295, 314, 8978, 502, 15844, 314, 7251, 3555, 4587, 7578, 5296, 28814, 1863, 314, 15844, 314], "avg_logprob": -0.2694404125213623, "compression_ratio": 1.152542372881356, "no_speech_prob": 0.0, "words": [{"start": 3881.87, "end": 3882.53, "word": "يبقى", "probability": 0.9208984375}, {"start": 3882.53, "end": 3882.91, "word": " هذا", "probability": 0.8291015625}, {"start": 3882.91, "end": 3883.37, "word": " بده", "probability": 0.580322265625}, {"start": 3883.37, "end": 3884.17, "word": " يعطيلك", "probability": 0.82861328125}, {"start": 3884.17, "end": 3884.55, "word": " the", 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0.74462890625}, {"start": 3899.57, "end": 3900.23, "word": " 1", "probability": 0.498291015625}, {"start": 3900.23, "end": 3900.87, "word": " على", "probability": 0.5546875}, {"start": 3900.87, "end": 3901.41, "word": " T", "probability": 0.9638671875}, {"start": 3901.41, "end": 3902.67, "word": " يبقى", "probability": 0.9722900390625}, {"start": 3902.67, "end": 3903.39, "word": " لإن", "probability": 0.65185546875}, {"start": 3903.39, "end": 3904.25, "word": " T", "probability": 0.50537109375}, {"start": 3904.25, "end": 3905.03, "word": " على", "probability": 0.875}, {"start": 3905.03, "end": 3905.43, "word": " T", "probability": 0.9755859375}], "temperature": 1.0}, {"id": 167, "seek": 393208, "start": 3908.16, "end": 3932.08, "text": "السؤال هو جالي هاتلي solution تاني collinearly independent مع الحل اللي عندنا هذا يبقى شو بدنا نعمل؟ بدنا نجيب الرونسكين تبع الحالين يبقى بده أجيبله الآن الرونسكين تبع الحل الأول اللي هو 1 على T و الحل التاني لن T على T", "tokens": [6027, 3794, 33604, 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ال L is linear لكن لو ماكنش linear ماقدرش اكتب الشكل هذا منها يبقى هذا الكلام بدي يساوي L of Y one هايو جديش G of T والتاني G of T يبقى النتيجة جديش", "tokens": [9566, 1829, 3555, 23758, 32239, 8592, 1670, 2423, 441, 307, 8213, 44381, 45164, 19446, 19452, 8592, 8213, 19446, 28543, 2288, 8592, 1975, 4117, 2655, 3555, 25124, 28820, 23758, 9154, 11296, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 4724, 16254, 7251, 3794, 995, 45865, 441, 295, 398, 472, 8032, 47302, 2407, 10874, 16254, 8592, 460, 295, 314, 16070, 2655, 7649, 1829, 460, 295, 314, 7251, 3555, 4587, 7578, 28239, 31371, 7435, 3660, 10874, 16254, 8592], "avg_logprob": -0.3351151355003056, "compression_ratio": 1.5853658536585367, "no_speech_prob": 0.0, "words": [{"start": 4751.5199999999995, "end": 4752.54, "word": "طيب", "probability": 0.55206298828125}, {"start": 4752.54, "end": 4753.56, "word": " هذا", "probability": 0.4658203125}, {"start": 4753.56, "end": 4754.04, "word": " ليش", "probability": 0.791015625}, {"start": 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4761.44, "end": 4761.68, "word": " هذا", "probability": 0.6044921875}, {"start": 4761.68, "end": 4762.26, "word": " منها", "probability": 0.420166015625}, {"start": 4762.26, "end": 4763.22, "word": " يبقى", "probability": 0.9296875}, {"start": 4763.22, "end": 4763.48, "word": " هذا", "probability": 0.85986328125}, {"start": 4763.48, "end": 4763.84, "word": " الكلام", "probability": 0.8556315104166666}, {"start": 4763.84, "end": 4764.08, "word": " بدي", "probability": 0.463134765625}, {"start": 4764.08, "end": 4764.42, "word": " يساوي", "probability": 0.61181640625}, {"start": 4764.42, "end": 4764.96, "word": " L", "probability": 0.5908203125}, {"start": 4764.96, "end": 4765.42, "word": " of", "probability": 0.857421875}, {"start": 4765.42, "end": 4765.74, "word": " Y", "probability": 0.896484375}, {"start": 4765.74, "end": 4766.08, "word": " one", "probability": 0.335205078125}, {"start": 4766.08, "end": 4766.74, "word": " هايو", "probability": 0.5199381510416666}, {"start": 4766.74, "end": 4767.74, "word": " جديش", "probability": 0.6399739583333334}, {"start": 4767.74, "end": 4768.96, "word": " G", "probability": 0.2315673828125}, {"start": 4768.96, "end": 4769.78, "word": " of", "probability": 0.962890625}, {"start": 4769.78, "end": 4770.14, "word": " T", "probability": 0.97412109375}, {"start": 4770.14, "end": 4771.44, "word": " والتاني", "probability": 0.8406982421875}, {"start": 4771.44, "end": 4772.38, "word": " G", "probability": 0.66015625}, {"start": 4772.38, "end": 4772.74, "word": " of", "probability": 0.9599609375}, {"start": 4772.74, "end": 4772.92, "word": " T", "probability": 0.978515625}, {"start": 4772.92, "end": 4773.26, "word": " يبقى", "probability": 0.9793701171875}, {"start": 4773.26, "end": 4773.72, "word": " النتيجة", "probability": 0.910400390625}, {"start": 4773.72, "end": 4774.42, "word": " جديش", "probability": 0.7734375}], "temperature": 1.0}, {"id": 201, "seek": 479984, "start": 4775.3, "end": 4799.84, "text": "يبقى اصبح كأن y1 نقص y2 هو solution لمين للمعادلة رقم 2 اللي بدها تستوي 0 يبقى بالي بقول له this means that هذا يعني ان y1 minus y2 is a solution", "tokens": [1829, 3555, 4587, 7578, 1975, 9381, 49628, 9122, 33456, 288, 16, 8717, 4587, 9381, 288, 17, 31439, 3827, 5296, 2304, 9957, 5296, 19528, 3615, 18513, 37977, 12602, 4587, 2304, 568, 13672, 1829, 47525, 11296, 6055, 14851, 45865, 1958, 7251, 3555, 4587, 7578, 20666, 1829, 4724, 39648, 46740, 341, 1355, 300, 23758, 37495, 22653, 16472, 288, 16, 3175, 288, 17, 307, 257, 3827], "avg_logprob": -0.3675595105640472, "compression_ratio": 1.3417721518987342, "no_speech_prob": 0.0, "words": [{"start": 4775.3, "end": 4776.3, "word": "يبقى", "probability": 0.6441650390625}, {"start": 4776.3, "end": 4776.84, "word": " اصبح", "probability": 0.7281087239583334}, {"start": 4776.84, "end": 4777.26, "word": " كأن", "probability": 0.5771484375}, {"start": 4777.26, "end": 4778.1, "word": " y1", "probability": 0.6165771484375}, {"start": 4778.1, "end": 4778.68, "word": " نقص", "probability": 0.60455322265625}, {"start": 4778.68, "end": 4779.14, "word": " y2", "probability": 0.954833984375}, {"start": 4779.14, "end": 4779.5, "word": " هو", "probability": 0.841796875}, {"start": 4779.5, "end": 4780.3, "word": " solution", "probability": 0.195556640625}, {"start": 4780.3, "end": 4780.96, "word": " لمين", "probability": 0.5865071614583334}, {"start": 4780.96, "end": 4782.12, "word": " للمعادلة", "probability": 0.82705078125}, {"start": 4782.12, "end": 4782.6, "word": " رقم", "probability": 0.85693359375}, {"start": 4782.6, "end": 4782.96, "word": " 2", "probability": 0.8779296875}, {"start": 4782.96, "end": 4783.14, "word": " اللي", "probability": 0.6065673828125}, {"start": 4783.14, "end": 4783.56, "word": " بدها", "probability": 0.5662841796875}, {"start": 4783.56, "end": 4784.02, "word": " تستوي", "probability": 0.69189453125}, {"start": 4784.02, "end": 4784.52, "word": " 0", "probability": 0.2369384765625}, {"start": 4784.52, "end": 4785.44, "word": " يبقى", "probability": 0.9412841796875}, {"start": 4785.44, "end": 4785.8, "word": " بالي", "probability": 0.792236328125}, {"start": 4785.8, "end": 4786.26, "word": " بقول", "probability": 0.916748046875}, {"start": 4786.26, "end": 4786.46, "word": " له", "probability": 0.412109375}, {"start": 4786.46, "end": 4787.12, "word": " this", "probability": 0.5576171875}, {"start": 4787.12, "end": 4789.3, "word": " means", "probability": 0.90771484375}, {"start": 4789.3, "end": 4791.0, "word": " that", "probability": 0.8720703125}, {"start": 4791.0, "end": 4791.68, "word": " هذا", "probability": 0.83642578125}, {"start": 4791.68, "end": 4792.4, "word": " يعني", "probability": 0.974609375}, {"start": 4792.4, "end": 4792.84, "word": " ان", "probability": 0.6103515625}, {"start": 4792.84, "end": 4793.86, "word": " y1", "probability": 0.956787109375}, {"start": 4793.86, "end": 4794.82, "word": " minus", "probability": 0.5146484375}, {"start": 4794.82, "end": 4795.84, "word": " y2", "probability": 0.99365234375}, {"start": 4795.84, "end": 4796.94, "word": " is", "probability": 0.908203125}, {"start": 4796.94, "end": 4797.94, "word": " a", "probability": 0.91943359375}, {"start": 4797.94, "end": 4799.84, "word": " solution", "probability": 0.95849609375}], "temperature": 1.0}, {"id": 202, "seek": 481776, "start": 4810.66, "end": 4817.76, "text": "يبقى الفرق بينما بينهم هو حل مين لل homogenous differential equation رقم اتنين", "tokens": [1829, 3555, 4587, 7578, 27188, 2288, 4587, 49374, 15042, 49374, 16095, 31439, 11331, 1211, 3714, 9957, 24976, 3655, 45519, 15756, 5367, 12602, 4587, 2304, 1975, 2655, 1863, 9957], "avg_logprob": -0.5312500164426607, "compression_ratio": 1.1176470588235294, "no_speech_prob": 0.0, "words": [{"start": 4810.66, "end": 4811.7, "word": "يبقى", "probability": 0.5907135009765625}, {"start": 4811.7, "end": 4812.16, "word": " الفرق", "probability": 0.9474283854166666}, {"start": 4812.16, "end": 4812.44, "word": " بينما", "probability": 0.4735107421875}, {"start": 4812.44, "end": 4813.0, "word": " بينهم", "probability": 0.74755859375}, {"start": 4813.0, "end": 4813.26, "word": " هو", "probability": 0.52587890625}, {"start": 4813.26, "end": 4813.76, "word": " حل", "probability": 0.8388671875}, {"start": 4813.76, "end": 4814.22, "word": " مين", "probability": 0.57843017578125}, {"start": 4814.22, "end": 4814.74, "word": " لل", "probability": 0.7109375}, {"start": 4814.74, "end": 4815.36, "word": " homogenous", "probability": 0.379608154296875}, {"start": 4815.36, "end": 4815.92, "word": " differential", "probability": 0.87939453125}, {"start": 4815.92, "end": 4816.42, "word": " equation", "probability": 0.978515625}, {"start": 4816.42, "end": 4817.24, "word": " رقم", "probability": 0.7623697916666666}, {"start": 4817.24, "end": 4817.76, "word": " اتنين", "probability": 0.754150390625}], "temperature": 1.0}, {"id": 203, "seek": 484756, "start": 4818.32, "end": 4847.56, "text": "بقولي ايضا لو كان هدول بيكونولي fundamental set of solutions يبقى باجي بقوله since بما ان y1 and y2 form a fundamental set of solutions of", "tokens": [3555, 39648, 1829, 1975, 1829, 11242, 995, 45164, 25961, 8032, 3215, 12610, 4724, 1829, 30544, 12610, 1829, 8088, 992, 295, 6547, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 1670, 4724, 15042, 16472, 288, 16, 293, 288, 17, 1254, 257, 8088, 992, 295, 6547, 295], "avg_logprob": -0.21272785837451616, "compression_ratio": 1.4, "no_speech_prob": 0.0, "words": [{"start": 4818.32, "end": 4819.08, "word": "بقولي", "probability": 0.4759114583333333}, {"start": 4819.08, "end": 4819.7, "word": " ايضا", "probability": 0.861572265625}, {"start": 4819.7, "end": 4820.42, "word": " لو", "probability": 0.78759765625}, {"start": 4820.42, "end": 4820.82, "word": " كان", "probability": 0.97412109375}, {"start": 4820.82, "end": 4821.3, "word": " هدول", "probability": 0.9231770833333334}, {"start": 4821.3, "end": 4822.12, "word": " بيكونولي", "probability": 0.91904296875}, {"start": 4822.12, "end": 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"word": " y2", "probability": 0.99169921875}, {"start": 4831.98, "end": 4833.62, "word": " form", "probability": 0.90625}, {"start": 4833.62, "end": 4834.96, "word": " a", "probability": 0.96630859375}, {"start": 4834.96, "end": 4836.34, "word": " fundamental", "probability": 0.74560546875}, {"start": 4836.34, "end": 4840.54, "word": " set", "probability": 0.93310546875}, {"start": 4840.54, "end": 4842.04, "word": " of", "probability": 0.96826171875}, {"start": 4842.04, "end": 4845.46, "word": " solutions", "probability": 0.9365234375}, {"start": 4845.46, "end": 4847.56, "word": " of", "probability": 0.8330078125}], "temperature": 1.0}, {"id": 204, "seek": 487151, "start": 4848.59, "end": 4871.51, "text": "The differential equation اتنين The general solution is Y تساوي C1Y1 زي C2Y2", "tokens": [2278, 15756, 5367, 1975, 2655, 1863, 9957, 440, 2674, 3827, 307, 398, 6055, 3794, 995, 45865, 383, 16, 56, 16, 30767, 1829, 383, 17, 56, 17], "avg_logprob": -0.28472221780706336, 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{"start": 4868.91, "end": 4869.39, "word": " زي", "probability": 0.6632080078125}, {"start": 4869.39, "end": 4871.51, "word": " C2Y2", "probability": 0.9521484375}], "temperature": 1.0}, {"id": 205, "seek": 489070, "start": 4874.54, "end": 4890.7, "text": "مصبور يبقى هدول اتنين بيكونوني fundamental set of solution للمعالج رقم اتنين يبقى ال general solution بلاجة of equation اتنين as يبقى على الشكل التالي", "tokens": [2304, 9381, 3555, 13063, 7251, 3555, 4587, 7578, 8032, 3215, 12610, 1975, 2655, 1863, 9957, 4724, 1829, 30544, 11536, 1829, 8088, 992, 295, 3827, 5296, 19528, 3615, 6027, 7435, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 2423, 2674, 3827, 4724, 1211, 26108, 3660, 295, 5367, 1975, 2655, 1863, 9957, 382, 7251, 3555, 4587, 7578, 15844, 25124, 28820, 16712, 6027, 1829], "avg_logprob": -0.2862980769230769, "compression_ratio": 1.5, "no_speech_prob": 0.0, "words": [{"start": 4874.54, "end": 4875.16, "word": "مصبور", "probability": 0.4876708984375}, {"start": 4875.16, "end": 4876.38, "word": " يبقى", "probability": 0.80029296875}, {"start": 4876.38, "end": 4876.66, "word": " هدول", "probability": 0.7254231770833334}, {"start": 4876.66, "end": 4876.92, "word": " اتنين", "probability": 0.81585693359375}, {"start": 4876.92, "end": 4877.58, "word": " بيكونوني", "probability": 0.7900390625}, {"start": 4877.58, "end": 4878.18, "word": " fundamental", "probability": 0.53564453125}, {"start": 4878.18, "end": 4878.58, "word": " set", "probability": 0.6025390625}, {"start": 4878.58, "end": 4878.72, "word": " of", "probability": 0.625}, {"start": 4878.72, "end": 4879.16, "word": " solution", "probability": 0.65869140625}, {"start": 4879.16, "end": 4879.86, "word": " للمعالج", "probability": 0.72607421875}, {"start": 4879.86, "end": 4880.18, "word": " رقم", "probability": 0.9544270833333334}, {"start": 4880.18, "end": 4880.46, "word": " اتنين", "probability": 0.8629150390625}, {"start": 4880.46, "end": 4881.1, "word": " يبقى", "probability": 0.95068359375}, {"start": 4881.1, "end": 4881.24, "word": " ال", "probability": 0.94189453125}, {"start": 4881.24, "end": 4881.66, "word": " general", "probability": 0.90087890625}, {"start": 4881.66, "end": 4882.86, "word": " solution", "probability": 0.970703125}, {"start": 4882.86, "end": 4884.04, "word": " بلاجة", "probability": 0.634521484375}, {"start": 4884.04, "end": 4884.84, "word": " of", "probability": 0.86865234375}, {"start": 4884.84, "end": 4886.62, "word": " equation", "probability": 0.94677734375}, {"start": 4886.62, "end": 4888.2, "word": " اتنين", "probability": 0.9490966796875}, {"start": 4888.2, "end": 4888.72, "word": " as", "probability": 0.367919921875}, {"start": 4888.72, "end": 4889.32, "word": " يبقى", "probability": 0.907470703125}, {"start": 4889.32, "end": 4889.5, "word": " على", "probability": 0.8798828125}, {"start": 4889.5, "end": 4890.06, "word": " الشكل", "probability": 0.966796875}, {"start": 4890.06, "end": 4890.7, "word": " التالي", "probability": 0.9205729166666666}], "temperature": 1.0}, {"id": 206, "seek": 491422, "start": 4891.32, "end": 4914.22, "text": "يبقى هذا شكل الحل العام للمعادلة رقم 2 يبقى بناء عليه أي حل المعادلة رقم 2 بدي يكون على مين؟ على الشكل اللي عندنا هذا لكن احنا في المطلوب الأول أثبتنا ان y1-y2 هو عبارة عن solution للمعادلة 2 صحيح ولا لا؟ إذا ال y1-y2 بدي ياخد مين؟", "tokens": [1829, 3555, 4587, 7578, 23758, 13412, 28820, 21542, 1211, 18863, 10943, 5296, 19528, 3615, 18513, 37977, 12602, 4587, 2304, 568, 7251, 3555, 4587, 7578, 44945, 16606, 47356, 36632, 11331, 1211, 9673, 3615, 18513, 37977, 12602, 4587, 2304, 568, 4724, 16254, 7251, 30544, 15844, 3714, 9957, 22807, 15844, 25124, 28820, 13672, 1829, 43242, 8315, 23758, 44381, 1975, 5016, 8315, 8978, 9673, 9566, 1211, 37746, 16247, 12610, 5551, 12984, 3555, 2655, 8315, 16472, 288, 16, 12, 88, 17, 31439, 6225, 3555, 9640, 3660, 18871, 3827, 5296, 19528, 3615, 18513, 37977, 568, 20328, 5016, 1829, 5016, 49429, 20193, 22807, 11933, 15730, 2423, 288, 16, 12, 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0.7827962239583334}, {"start": 4907.4, "end": 4907.74, "word": " هو", "probability": 0.95361328125}, {"start": 4907.74, "end": 4908.16, "word": " عبارة", "probability": 0.882080078125}, {"start": 4908.16, "end": 4908.34, "word": " عن", "probability": 0.9873046875}, {"start": 4908.34, "end": 4908.76, "word": " solution", "probability": 0.9541015625}, {"start": 4908.76, "end": 4909.56, "word": " للمعادلة", "probability": 0.92626953125}, {"start": 4909.56, "end": 4910.0, "word": " 2", "probability": 0.9765625}, {"start": 4910.0, "end": 4910.76, "word": " صحيح", "probability": 0.9686279296875}, {"start": 4910.76, "end": 4910.94, "word": " ولا", "probability": 0.9619140625}, {"start": 4910.94, "end": 4911.58, "word": " لا؟", "probability": 0.738037109375}, {"start": 4911.58, "end": 4911.74, "word": " إذا", "probability": 0.75341796875}, {"start": 4911.74, "end": 4911.86, "word": " ال", "probability": 0.857421875}, {"start": 4911.86, "end": 4912.32, "word": " y1", "probability": 0.874267578125}, {"start": 4912.32, "end": 4912.96, "word": "-y2", "probability": 0.8636067708333334}, {"start": 4912.96, "end": 4913.2, "word": " بدي", "probability": 0.94189453125}, {"start": 4913.2, "end": 4913.48, "word": " ياخد", "probability": 0.8650716145833334}, {"start": 4913.48, "end": 4914.22, "word": " مين؟", "probability": 0.9640299479166666}], "temperature": 1.0}, {"id": 207, "seek": 493149, "start": 4914.25, "end": 4931.49, "text": "الشكل هذا يبقى بقى بقول since بما أن capital Y1 minus capital Y2 is a solution of equation two we have", "tokens": [6027, 8592, 28820, 23758, 7251, 3555, 4587, 7578, 4724, 4587, 7578, 4724, 39648, 1670, 4724, 15042, 14739, 4238, 398, 16, 3175, 4238, 398, 17, 307, 257, 3827, 295, 5367, 732, 321, 362], "avg_logprob": -0.3378314393939394, "compression_ratio": 1.1454545454545455, "no_speech_prob": 0.0, "words": [{"start": 4914.25, "end": 4914.91, "word": "الشكل", "probability": 0.6626383463541666}, {"start": 4914.91, "end": 4915.45, "word": " هذا", "probability": 0.82373046875}, {"start": 4915.45, "end": 4916.41, "word": " يبقى", "probability": 0.9345703125}, {"start": 4916.41, "end": 4916.67, "word": " بقى", "probability": 0.6642252604166666}, {"start": 4916.67, "end": 4917.19, "word": " بقول", "probability": 0.55224609375}, {"start": 4917.19, "end": 4917.87, "word": " since", "probability": 0.478271484375}, {"start": 4917.87, "end": 4918.49, "word": " بما", "probability": 0.9189453125}, {"start": 4918.49, "end": 4918.87, "word": " أن", "probability": 0.53466796875}, {"start": 4918.87, "end": 4919.51, "word": " capital", "probability": 0.354248046875}, {"start": 4919.51, "end": 4920.41, "word": " Y1", "probability": 0.856201171875}, {"start": 4920.41, "end": 4921.23, "word": " minus", "probability": 0.560546875}, {"start": 4921.23, "end": 4922.05, "word": " capital", "probability": 0.8525390625}, {"start": 4922.05, "end": 4922.75, "word": " Y2", "probability": 0.99169921875}, {"start": 4922.75, "end": 4923.49, "word": " is", "probability": 0.8896484375}, {"start": 4923.49, "end": 4924.55, "word": " a", "probability": 0.90087890625}, {"start": 4924.55, "end": 4926.47, "word": " solution", "probability": 0.95556640625}, {"start": 4926.47, "end": 4927.83, "word": " of", "probability": 0.97021484375}, {"start": 4927.83, "end": 4929.53, "word": " equation", "probability": 0.94775390625}, {"start": 4929.53, "end": 4930.45, "word": " two", "probability": 0.385009765625}, {"start": 4930.45, "end": 4930.87, "word": " we", "probability": 0.54296875}, {"start": 4930.87, "end": 4931.49, "word": " have", "probability": 0.96240234375}], "temperature": 1.0}, {"id": 208, "seek": 495337, "start": 4932.29, "end": 4953.37, "text": "يبقى بد يصير capital Y1 ناقص capital Y2 بد يسوى C1Y1 زايد C2Y2 وهو المطلوب في انا كمان نظرية تانية بس اصغر من النظرية هذه و بتعتمد عليها مباشرة", "tokens": [1829, 3555, 4587, 7578, 47525, 7251, 9381, 13546, 4238, 398, 16, 8717, 995, 4587, 9381, 4238, 398, 17, 47525, 7251, 3794, 2407, 7578, 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0.7216796875}, {"start": 4937.43, "end": 4938.35, "word": " Y2", "probability": 0.98876953125}, {"start": 4938.35, "end": 4938.93, "word": " بد", "probability": 0.1417236328125}, {"start": 4938.93, "end": 4939.43, "word": " يسوى", "probability": 0.71368408203125}, {"start": 4939.43, "end": 4941.29, "word": " C1Y1", "probability": 0.7994384765625}, {"start": 4941.29, "end": 4941.99, "word": " زايد", "probability": 0.4423624674479167}, {"start": 4941.99, "end": 4943.87, "word": " C2Y2", "probability": 0.9766845703125}, {"start": 4943.87, "end": 4944.33, "word": " وهو", "probability": 0.796142578125}, {"start": 4944.33, "end": 4945.19, "word": " المطلوب", "probability": 0.966064453125}, {"start": 4945.19, "end": 4946.53, "word": " في", "probability": 0.73388671875}, {"start": 4946.53, "end": 4946.75, "word": " انا", "probability": 0.600341796875}, {"start": 4946.75, "end": 4947.15, "word": " كمان", "probability": 0.8839518229166666}, {"start": 4947.15, "end": 4947.71, "word": " نظرية", "probability": 0.98193359375}, {"start": 4947.71, "end": 4948.13, "word": " تانية", "probability": 0.8961588541666666}, {"start": 4948.13, "end": 4948.47, "word": " بس", "probability": 0.9150390625}, {"start": 4948.47, "end": 4949.05, "word": " اصغر", "probability": 0.9014892578125}, {"start": 4949.05, "end": 4949.27, "word": " من", "probability": 0.98486328125}, {"start": 4949.27, "end": 4950.05, "word": " النظرية", "probability": 0.946533203125}, {"start": 4950.05, "end": 4950.53, "word": " هذه", "probability": 0.66259765625}, {"start": 4950.53, "end": 4951.13, "word": " و", "probability": 0.66943359375}, {"start": 4951.13, "end": 4951.85, "word": " بتعتمد", "probability": 0.8751220703125}, {"start": 4951.85, "end": 4952.33, "word": " عليها", "probability": 0.97900390625}, {"start": 4952.33, "end": 4953.37, "word": " مباشرة", "probability": 0.9910888671875}], "temperature": 1.0}, {"id": 209, "seek": 499089, "start": 4964.98, "end": 4990.9, "text": "يبقى بدنا نيجي لنظرية رقم اتنين theorem two بتقول ما ياتي let L of Y بده ساوي YW prime P of T في Y prime Q of T في Y", "tokens": [1829, 3555, 4587, 7578, 47525, 8315, 8717, 1829, 7435, 1829, 5296, 1863, 19913, 2288, 10632, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 20904, 732, 39894, 39648, 19446, 7251, 9307, 1829, 718, 441, 295, 398, 47525, 3224, 8608, 995, 45865, 398, 54, 5835, 430, 295, 314, 8978, 398, 5835, 1249, 295, 314, 8978, 398], "avg_logprob": -0.21802661733494866, "compression_ratio": 1.251908396946565, "no_speech_prob": 0.0, "words": [{"start": 4964.98, "end": 4965.46, "word": "يبقى", "probability": 0.7724609375}, {"start": 4965.46, "end": 4965.7, "word": " بدنا", "probability": 0.852294921875}, {"start": 4965.7, "end": 4966.0, "word": " نيجي", "probability": 0.9151611328125}, {"start": 4966.0, "end": 4966.76, "word": " لنظرية", "probability": 0.92255859375}, {"start": 4966.76, "end": 4967.5, "word": " رقم", "probability": 0.9816080729166666}, {"start": 4967.5, "end": 4968.18, "word": " اتنين", "probability": 0.8680419921875}, {"start": 4968.18, "end": 4968.9, "word": " theorem", "probability": 0.38623046875}, {"start": 4968.9, "end": 4971.36, "word": " two", "probability": 0.5888671875}, {"start": 4971.36, "end": 4975.58, "word": " بتقول", "probability": 0.955322265625}, {"start": 4975.58, "end": 4975.92, "word": " ما", "probability": 0.533203125}, {"start": 4975.92, "end": 4976.68, "word": " ياتي", "probability": 0.8689778645833334}, {"start": 4976.68, "end": 4977.66, "word": " let", "probability": 0.77392578125}, {"start": 4977.66, "end": 4979.48, "word": " L", "probability": 0.73095703125}, {"start": 4979.48, "end": 4980.12, "word": " of", "probability": 0.80859375}, {"start": 4980.12, "end": 4980.58, "word": " Y", "probability": 0.94189453125}, {"start": 4980.58, "end": 4982.46, "word": " بده", "probability": 0.6573486328125}, {"start": 4982.46, "end": 4983.08, "word": " ساوي", "probability": 0.8850911458333334}, {"start": 4983.08, "end": 4984.24, "word": " YW", "probability": 0.5732421875}, {"start": 4984.24, "end": 4984.92, "word": " prime", "probability": 0.379638671875}, {"start": 4984.92, "end": 4985.92, "word": " P", "probability": 0.8427734375}, {"start": 4985.92, "end": 4986.32, "word": " of", "probability": 0.96142578125}, {"start": 4986.32, "end": 4986.8, "word": " T", "probability": 0.98095703125}, {"start": 4986.8, "end": 4987.36, "word": " في", "probability": 0.7861328125}, {"start": 4987.36, "end": 4987.7, "word": " Y", "probability": 0.64990234375}, {"start": 4987.7, "end": 4988.44, "word": " prime", "probability": 0.60498046875}, {"start": 4988.44, "end": 4989.26, "word": " Q", "probability": 0.9091796875}, {"start": 4989.26, "end": 4989.66, "word": " of", "probability": 0.96923828125}, {"start": 4989.66, "end": 4989.96, "word": " T", "probability": 0.98681640625}, {"start": 4989.96, "end": 4990.26, "word": " في", "probability": 0.982421875}, {"start": 4990.26, "end": 4990.9, "word": " Y", "probability": 0.83837890625}], 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