diff --git "a/PL9fwy3NUQKwZkPblS_KlzYkzv5WfDGlKa/OMe_05RbxKs_raw.json" "b/PL9fwy3NUQKwZkPblS_KlzYkzv5WfDGlKa/OMe_05RbxKs_raw.json"
new file mode 100644--- /dev/null
+++ "b/PL9fwy3NUQKwZkPblS_KlzYkzv5WfDGlKa/OMe_05RbxKs_raw.json"
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2281, "start": 5.11, "end": 22.81, "text": "بسم الله الرحمن الرحيم الحمد لله رب العالمين والصلاة والسلام على سيد المرسلين سيدنا محمد وعلى آله وصحبه أجمعين المحاضرة هي محاضرة رقم 14 مساق تحليل اقتراني أو تحليل دالي طلاب وطالبات الجامعة الإسلامية ماجستيريا رياضية", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21542, 2304, 3215, 24976, 3224, 12602, 3555, 18863, 45340, 9957, 16070, 9381, 15040, 3660, 16070, 3794, 37440, 15844, 8608, 25708, 9673, 2288, 3794, 1211, 9957, 8608, 25708, 8315, 3714, 35571, 3215, 4032, 3615, 23942, 19753, 43761, 4032, 9381, 5016, 3555, 3224, 5551, 7435, 2304, 3615, 9957, 9673, 5016, 46958, 25720, 39896, 3714, 5016, 46958, 25720, 12602, 4587, 2304, 3499, 47524, 995, 4587, 6055, 5016, 20292, 1211, 1975, 38149, 2288, 7649, 1829, 34051, 6055, 5016, 20292, 1211, 11778, 6027, 1829, 23032, 15040, 3555, 4032, 9566, 6027, 3555, 9307, 25724, 10943, 27884, 33688, 3794, 37440, 10632, 3714, 26108, 14851, 13546, 25528, 12602, 1829, 46958, 10632], "avg_logprob": -0.07847068373080904, "compression_ratio": 1.985, "no_speech_prob": 8.612871170043945e-05, "words": [{"start": 5.11, "end": 5.55, "word": "بسم", "probability": 0.80419921875}, {"start": 5.55, "end": 5.69, "word": " الله", "probability": 0.94580078125}, {"start": 5.69, "end": 6.01, "word": " الرحمن", "probability": 0.97119140625}, {"start": 6.01, "end": 6.45, "word": " الرحيم", "probability": 0.9928385416666666}, {"start": 6.45, "end": 6.79, "word": " الحمد", "probability": 0.8693033854166666}, {"start": 6.79, "end": 7.07, "word": " لله", "probability": 0.925048828125}, {"start": 7.07, "end": 7.25, "word": " رب", "probability": 0.93408203125}, {"start": 7.25, "end": 7.73, "word": " العالمين", "probability": 0.9925130208333334}, {"start": 7.73, "end": 8.13, "word": " والصلاة", "probability": 0.8712158203125}, {"start": 8.13, "end": 8.55, "word": " والسلام", "probability": 0.96044921875}, {"start": 8.55, "end": 8.75, "word": " على", "probability": 0.52294921875}, {"start": 8.75, "end": 9.05, "word": " سيد", "probability": 0.96533203125}, {"start": 9.05, "end": 9.51, "word": " المرسلين", "probability": 0.98388671875}, {"start": 9.51, "end": 9.89, "word": " سيدنا", "probability": 0.9791666666666666}, {"start": 9.89, "end": 10.27, "word": " محمد", "probability": 0.9876302083333334}, {"start": 10.27, "end": 10.53, "word": " وعلى", "probability": 0.8684895833333334}, {"start": 10.53, "end": 10.81, "word": " آله", "probability": 0.9208984375}, {"start": 10.81, "end": 11.37, "word": " وصحبه", "probability": 0.96201171875}, {"start": 11.37, "end": 11.95, "word": " أجمعين", "probability": 0.97705078125}, {"start": 11.95, "end": 14.49, "word": " المحاضرة", "probability": 0.9842529296875}, {"start": 14.49, "end": 14.73, "word": " هي", "probability": 0.841796875}, {"start": 14.73, "end": 15.29, "word": " محاضرة", "probability": 0.9638671875}, {"start": 15.29, "end": 15.79, "word": " رقم", "probability": 0.9873046875}, {"start": 15.79, "end": 16.73, "word": " 14", "probability": 0.724609375}, {"start": 16.73, "end": 18.05, "word": " مساق", "probability": 0.9366861979166666}, {"start": 18.05, "end": 18.53, "word": " تحليل", "probability": 0.988525390625}, {"start": 18.53, "end": 19.03, "word": " اقتراني", "probability": 0.92333984375}, {"start": 19.03, "end": 19.13, "word": " أو", "probability": 0.5341796875}, {"start": 19.13, "end": 19.57, "word": " تحليل", "probability": 0.9920654296875}, {"start": 19.57, "end": 19.93, "word": " دالي", "probability": 0.87890625}, {"start": 19.93, "end": 20.37, "word": " طلاب", "probability": 0.9529622395833334}, {"start": 20.37, "end": 20.85, "word": " وطالبات", "probability": 0.98173828125}, {"start": 20.85, "end": 21.21, "word": " الجامعة", "probability": 0.98779296875}, {"start": 21.21, "end": 21.77, "word": " الإسلامية", "probability": 0.95947265625}, {"start": 21.77, "end": 22.51, "word": " ماجستيريا", "probability": 0.79306640625}, {"start": 22.51, "end": 22.81, "word": " رياضية", "probability": 0.8699951171875}], "temperature": 1.0}, {"id": 2, "seek": 4825, "start": 24.35, "end": 48.25, "text": "وصلنا لعند اتنين تمانية اللي هو تحت عنوان linear functionals حكينا المرة الماضية عن ال bounded linear operators الآن ده نحكي عن حالة خاصة من ال bounded linear operators اللي هي حاجة اسمها linear functionals هي عبارة عن bounded linear operators بس بترمي في field في ال field او في scalars انشوف كده", "tokens": [2407, 36520, 8315, 5296, 3615, 41260, 1975, 2655, 1863, 9957, 46811, 7649, 10632, 13672, 1829, 31439, 6055, 33753, 18871, 2407, 7649, 8213, 2445, 1124, 11331, 4117, 1829, 8315, 9673, 25720, 9673, 46958, 10632, 18871, 2423, 37498, 8213, 19077, 6024, 48506, 11778, 3224, 8717, 5016, 4117, 1829, 18871, 11331, 6027, 3660, 16490, 33546, 3660, 9154, 2423, 37498, 8213, 19077, 13672, 1829, 39896, 11331, 26108, 3660, 24525, 2304, 11296, 8213, 2445, 1124, 39896, 6225, 3555, 9640, 3660, 18871, 37498, 8213, 19077, 4724, 3794, 39894, 2288, 2304, 1829, 8978, 2519, 8978, 2423, 2519, 1975, 2407, 8978, 15664, 685, 16472, 8592, 38688, 9122, 3215, 3224], "avg_logprob": -0.18045343108036938, "compression_ratio": 1.905829596412556, "no_speech_prob": 1.3113021850585938e-05, "words": [{"start": 24.35, "end": 25.11, "word": "وصلنا", "probability": 0.9716796875}, {"start": 25.11, "end": 25.49, "word": " لعند", "probability": 0.8439127604166666}, {"start": 25.49, "end": 25.83, "word": " اتنين", "probability": 0.7301177978515625}, {"start": 25.83, "end": 26.43, "word": " تمانية", "probability": 0.9593098958333334}, {"start": 26.43, "end": 26.93, "word": " اللي", "probability": 0.8359375}, {"start": 26.93, "end": 27.33, "word": " هو", "probability": 0.87890625}, {"start": 27.33, "end": 28.21, "word": " تحت", "probability": 0.99169921875}, {"start": 28.21, "end": 28.77, "word": " عنوان", "probability": 0.97998046875}, {"start": 28.77, "end": 29.15, "word": " linear", "probability": 0.6396484375}, {"start": 29.15, "end": 30.01, "word": " functionals", "probability": 0.624267578125}, {"start": 30.01, "end": 32.23, "word": " حكينا", "probability": 0.9891357421875}, {"start": 32.23, "end": 32.59, "word": " المرة", "probability": 0.965576171875}, {"start": 32.59, "end": 33.09, "word": " الماضية", "probability": 0.9895833333333334}, {"start": 33.09, "end": 33.33, "word": " عن", "probability": 0.994140625}, {"start": 33.33, "end": 33.55, "word": " ال", "probability": 0.82080078125}, {"start": 33.55, "end": 33.99, "word": " bounded", "probability": 0.8486328125}, {"start": 33.99, "end": 34.35, "word": " linear", "probability": 0.94775390625}, {"start": 34.35, "end": 35.11, "word": " operators", "probability": 0.90625}, {"start": 35.11, "end": 36.59, "word": " الآن", "probability": 0.600830078125}, {"start": 36.59, "end": 36.73, "word": " ده", "probability": 0.771240234375}, {"start": 36.73, "end": 37.07, "word": " نحكي", "probability": 0.961669921875}, {"start": 37.07, "end": 37.25, "word": " عن", "probability": 0.98095703125}, {"start": 37.25, "end": 37.65, "word": " حالة", "probability": 0.9873046875}, {"start": 37.65, "end": 38.07, "word": " خاصة", "probability": 0.9856770833333334}, {"start": 38.07, "end": 38.15, "word": " من", "probability": 0.98193359375}, {"start": 38.15, "end": 38.25, "word": " ال", "probability": 0.9423828125}, {"start": 38.25, "end": 38.47, "word": " bounded", "probability": 0.94140625}, {"start": 38.47, "end": 38.79, "word": " linear", "probability": 0.93994140625}, {"start": 38.79, "end": 39.37, "word": " operators", "probability": 0.91357421875}, {"start": 39.37, "end": 39.63, "word": " اللي", "probability": 0.97900390625}, {"start": 39.63, "end": 39.77, "word": " هي", "probability": 0.93994140625}, {"start": 39.77, "end": 40.03, "word": " حاجة", "probability": 0.9943033854166666}, {"start": 40.03, "end": 40.35, "word": " اسمها", "probability": 0.8180338541666666}, {"start": 40.35, "end": 40.61, "word": " linear", "probability": 0.93310546875}, {"start": 40.61, "end": 41.33, "word": " functionals", "probability": 0.914794921875}, {"start": 41.33, "end": 41.83, "word": " هي", "probability": 0.88330078125}, {"start": 41.83, "end": 42.15, "word": " عبارة", "probability": 0.997802734375}, {"start": 42.15, "end": 42.29, "word": " عن", "probability": 0.99169921875}, {"start": 42.29, "end": 42.63, "word": " bounded", "probability": 0.93212890625}, {"start": 42.63, "end": 42.97, "word": " linear", "probability": 0.95703125}, {"start": 42.97, "end": 43.49, "word": " operators", "probability": 0.9248046875}, {"start": 43.49, "end": 43.93, "word": " بس", "probability": 0.98974609375}, {"start": 43.93, "end": 44.67, "word": " بترمي", "probability": 0.921875}, {"start": 44.67, "end": 44.81, "word": " في", "probability": 0.9228515625}, {"start": 44.81, "end": 45.25, "word": " field", "probability": 0.58837890625}, {"start": 45.25, "end": 45.45, "word": " في", "probability": 0.52099609375}, {"start": 45.45, "end": 45.57, "word": " ال", "probability": 0.861328125}, {"start": 45.57, "end": 45.95, "word": " field", "probability": 0.87890625}, {"start": 45.95, "end": 46.39, "word": " او", "probability": 0.761474609375}, {"start": 46.39, "end": 46.49, "word": " في", "probability": 0.8994140625}, {"start": 46.49, "end": 46.97, "word": " scalars", "probability": 0.7298583984375}, {"start": 46.97, "end": 48.03, "word": " انشوف", "probability": 0.39385986328125}, {"start": 48.03, "end": 48.25, "word": " كده", "probability": 0.8173014322916666}], "temperature": 1.0}, {"id": 3, "seek": 7256, "start": 49.81, "end": 72.57, "text": "definition a linear functional is a linear operator عادى with domain in a vector space and range when in the scalar field of the vector space هذا ك linear operator من دون ما نحكي عن ال bounded اللي هو اللي عندما نحكي عن ال boundedness على طول بنحط vector spaces أو بنحط norms أو بنحط topologies", "tokens": [1479, 5194, 849, 257, 8213, 11745, 307, 257, 8213, 12973, 6225, 18513, 7578, 365, 9274, 294, 257, 8062, 1901, 293, 3613, 562, 294, 264, 39684, 2519, 295, 264, 8062, 1901, 23758, 9122, 8213, 12973, 9154, 11778, 11536, 19446, 8717, 5016, 4117, 1829, 18871, 2423, 37498, 13672, 1829, 31439, 13672, 1829, 43242, 15042, 8717, 5016, 4117, 1829, 18871, 2423, 37498, 1287, 15844, 23032, 12610, 44945, 5016, 9566, 8062, 7673, 34051, 44945, 5016, 9566, 24357, 34051, 44945, 5016, 9566, 1192, 6204], "avg_logprob": -0.2697265576571226, "compression_ratio": 1.7658536585365854, "no_speech_prob": 6.973743438720703e-06, "words": [{"start": 49.81, "end": 50.49, "word": "definition", "probability": 0.7125651041666666}, {"start": 50.49, "end": 50.79, "word": " a", "probability": 0.391357421875}, {"start": 50.79, "end": 51.13, "word": " linear", "probability": 0.9287109375}, {"start": 51.13, "end": 51.69, "word": " functional", "probability": 0.87548828125}, {"start": 51.69, "end": 52.09, "word": " is", "probability": 0.93896484375}, {"start": 52.09, "end": 52.27, "word": " a", "probability": 0.9443359375}, {"start": 52.27, "end": 52.61, "word": " linear", "probability": 0.9482421875}, {"start": 52.61, "end": 53.43, "word": " operator", "probability": 0.94921875}, {"start": 53.43, "end": 55.63, "word": " عادى", "probability": 0.7088216145833334}, {"start": 55.63, "end": 56.25, "word": " with", "probability": 0.64111328125}, {"start": 56.25, "end": 56.93, "word": " domain", "probability": 0.96826171875}, {"start": 56.93, "end": 57.49, "word": " in", "probability": 0.96142578125}, {"start": 57.49, "end": 57.69, "word": " a", "probability": 0.94189453125}, {"start": 57.69, "end": 58.03, "word": " vector", "probability": 0.955078125}, {"start": 58.03, "end": 58.87, "word": " space", "probability": 0.9560546875}, {"start": 58.87, "end": 59.49, "word": " and", "probability": 0.89111328125}, {"start": 59.49, "end": 60.05, "word": " range", "probability": 0.82373046875}, {"start": 60.05, "end": 60.59, "word": " when", "probability": 0.29443359375}, {"start": 60.59, "end": 61.41, "word": " in", "probability": 0.94580078125}, {"start": 61.41, "end": 61.65, "word": " the", "probability": 0.91064453125}, {"start": 61.65, "end": 62.03, "word": " scalar", "probability": 0.896484375}, {"start": 62.03, "end": 62.61, "word": " field", "probability": 0.94287109375}, {"start": 62.61, "end": 62.85, "word": " of", "probability": 0.96630859375}, {"start": 62.85, "end": 63.01, "word": " the", "probability": 0.66796875}, {"start": 63.01, "end": 63.35, "word": " vector", "probability": 0.978515625}, {"start": 63.35, "end": 63.77, "word": " space", "probability": 0.9326171875}, {"start": 63.77, "end": 63.97, "word": " هذا", "probability": 0.67626953125}, {"start": 63.97, "end": 64.15, "word": " ك", "probability": 0.94189453125}, {"start": 64.15, "end": 64.55, "word": " linear", "probability": 0.359130859375}, {"start": 64.55, "end": 65.05, "word": " operator", "probability": 0.93212890625}, {"start": 65.05, "end": 65.21, "word": " من", "probability": 0.4248046875}, {"start": 65.21, "end": 65.33, "word": " دون", "probability": 0.864013671875}, {"start": 65.33, "end": 65.43, "word": " ما", "probability": 0.5908203125}, {"start": 65.43, "end": 65.75, "word": " نحكي", "probability": 0.9676513671875}, {"start": 65.75, "end": 65.83, "word": " عن", "probability": 0.8662109375}, {"start": 65.83, "end": 65.91, "word": " ال", "probability": 0.322509765625}, {"start": 65.91, "end": 66.15, "word": " bounded", "probability": 0.4423828125}, {"start": 66.15, "end": 66.47, "word": " اللي", "probability": 0.5238037109375}, {"start": 66.47, "end": 67.07, "word": " هو", "probability": 0.98583984375}, {"start": 67.07, "end": 67.29, "word": " اللي", "probability": 0.55023193359375}, {"start": 67.29, "end": 67.63, "word": " عندما", "probability": 0.34814453125}, {"start": 67.63, "end": 67.97, "word": " نحكي", "probability": 0.989501953125}, {"start": 67.97, "end": 68.07, "word": " عن", "probability": 0.87353515625}, {"start": 68.07, "end": 68.17, "word": " ال", "probability": 0.395751953125}, {"start": 68.17, "end": 68.77, "word": " boundedness", "probability": 0.89599609375}, {"start": 68.77, "end": 68.93, "word": " على", "probability": 0.78125}, {"start": 68.93, "end": 69.19, "word": " طول", "probability": 0.990966796875}, {"start": 69.19, "end": 69.53, "word": " بنحط", "probability": 0.95849609375}, {"start": 69.53, "end": 69.83, "word": " vector", "probability": 0.94580078125}, {"start": 69.83, "end": 70.33, "word": " spaces", "probability": 0.86962890625}, {"start": 70.33, "end": 70.85, "word": " أو", "probability": 0.689453125}, {"start": 70.85, "end": 71.19, "word": " بنحط", "probability": 0.9698893229166666}, {"start": 71.19, "end": 71.57, "word": " norms", "probability": 0.90087890625}, {"start": 71.57, "end": 71.87, "word": " أو", "probability": 0.78759765625}, {"start": 71.87, "end": 72.23, "word": " بنحط", "probability": 0.9303385416666666}, {"start": 72.23, "end": 72.57, "word": " topologies", "probability": 0.846435546875}], "temperature": 1.0}, {"id": 4, "seek": 10183, "start": 73.27, "end": 101.83, "text": "definition a bounded linear functional الان بدنا نحكي عن bounded linear functional is a bounded linear operator with domain in a normed space عادي and range وين بس in the scalar field لnormed space اللي إيش اللي في ال domain ماشي الحالة إذا يعني من normed space إلى ال scalar field تبعه هذا اللي بنسميه bounded linear functional يعني أعطينا اسم خاص", "tokens": [1479, 5194, 849, 257, 37498, 8213, 11745, 2423, 7649, 47525, 8315, 8717, 5016, 4117, 1829, 18871, 37498, 8213, 11745, 307, 257, 37498, 8213, 12973, 365, 9274, 294, 257, 2026, 292, 1901, 6225, 995, 16254, 293, 3613, 4032, 9957, 4724, 3794, 294, 264, 39684, 2519, 5296, 13403, 292, 1901, 13672, 1829, 11933, 1829, 8592, 13672, 1829, 8978, 2423, 9274, 3714, 33599, 1829, 21542, 6027, 3660, 11933, 15730, 37495, 22653, 9154, 2026, 292, 1901, 30731, 2423, 39684, 2519, 6055, 3555, 3615, 3224, 23758, 13672, 1829, 44945, 38251, 1829, 3224, 37498, 8213, 11745, 37495, 22653, 5551, 3615, 9566, 1829, 8315, 24525, 2304, 16490, 33546], "avg_logprob": -0.21200980713554457, "compression_ratio": 1.8734177215189873, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 73.27, "end": 73.95, "word": "definition", "probability": 0.7043050130208334}, {"start": 73.95, "end": 74.23, "word": " a", "probability": 0.386474609375}, {"start": 74.23, "end": 74.65, "word": " bounded", "probability": 0.93408203125}, {"start": 74.65, "end": 75.29, "word": " linear", "probability": 0.91796875}, {"start": 75.29, "end": 76.05, "word": " functional", "probability": 0.85693359375}, {"start": 76.05, "end": 76.47, "word": " الان", "probability": 0.541717529296875}, {"start": 76.47, "end": 76.81, "word": " بدنا", "probability": 0.62451171875}, {"start": 76.81, "end": 77.07, "word": " نحكي", "probability": 0.978271484375}, {"start": 77.07, "end": 77.17, "word": " عن", "probability": 0.9501953125}, {"start": 77.17, "end": 77.41, "word": " bounded", "probability": 0.7314453125}, {"start": 77.41, "end": 77.69, "word": " linear", "probability": 0.487060546875}, {"start": 77.69, "end": 78.15, "word": " functional", "probability": 0.8662109375}, {"start": 78.15, "end": 78.79, "word": " is", "probability": 0.73486328125}, {"start": 78.79, "end": 78.99, "word": " a", "probability": 0.93994140625}, {"start": 78.99, "end": 79.37, "word": " bounded", "probability": 0.958984375}, {"start": 79.37, "end": 79.83, "word": " linear", "probability": 0.9482421875}, {"start": 79.83, "end": 80.45, "word": " operator", "probability": 0.943359375}, {"start": 80.45, "end": 81.51, "word": " with", "probability": 0.9189453125}, {"start": 81.51, "end": 82.31, "word": " domain", "probability": 0.95947265625}, {"start": 82.31, "end": 82.83, "word": " in", "probability": 0.9384765625}, {"start": 82.83, "end": 83.01, "word": " a", "probability": 0.95751953125}, {"start": 83.01, "end": 83.39, "word": " normed", "probability": 0.92626953125}, {"start": 83.39, "end": 83.91, "word": " space", "probability": 0.92919921875}, {"start": 83.91, "end": 84.51, "word": " عادي", "probability": 0.8937174479166666}, {"start": 84.51, "end": 85.53, "word": " and", "probability": 0.86376953125}, {"start": 85.53, "end": 86.19, "word": " range", "probability": 0.568359375}, {"start": 86.19, "end": 86.59, "word": " وين", "probability": 0.59918212890625}, {"start": 86.59, "end": 87.07, "word": " بس", "probability": 0.98974609375}, {"start": 87.07, "end": 87.57, "word": " in", "probability": 0.87890625}, {"start": 87.57, "end": 87.79, "word": " the", "probability": 0.87451171875}, {"start": 87.79, "end": 88.15, "word": " scalar", "probability": 0.91650390625}, {"start": 88.15, "end": 88.91, "word": " field", "probability": 0.93115234375}, {"start": 88.91, "end": 90.35, "word": " لnormed", "probability": 0.6431070963541666}, {"start": 90.35, "end": 90.79, "word": " space", "probability": 0.94482421875}, {"start": 90.79, "end": 91.15, "word": " اللي", "probability": 0.96826171875}, {"start": 91.15, "end": 91.59, "word": " إيش", "probability": 0.6328125}, {"start": 91.59, "end": 91.81, "word": " اللي", "probability": 0.879638671875}, {"start": 91.81, "end": 91.93, "word": " في", "probability": 0.89111328125}, {"start": 91.93, "end": 92.03, "word": " ال", "probability": 0.47607421875}, {"start": 92.03, "end": 92.29, "word": " domain", "probability": 0.93359375}, {"start": 92.29, "end": 92.71, "word": " ماشي", "probability": 0.8390299479166666}, {"start": 92.71, "end": 93.11, "word": " الحالة", "probability": 0.8365885416666666}, {"start": 93.11, "end": 93.63, "word": " إذا", "probability": 0.81494140625}, {"start": 93.63, "end": 94.15, "word": " يعني", "probability": 0.974853515625}, {"start": 94.15, "end": 94.31, "word": " من", "probability": 0.96044921875}, {"start": 94.31, "end": 94.83, "word": " normed", "probability": 0.888916015625}, {"start": 94.83, "end": 95.31, "word": " space", "probability": 0.953125}, {"start": 95.31, "end": 95.55, "word": " إلى", "probability": 0.89208984375}, {"start": 95.55, "end": 95.73, "word": " ال", "probability": 0.681640625}, {"start": 95.73, "end": 95.97, "word": " scalar", "probability": 0.96484375}, {"start": 95.97, "end": 96.29, "word": " field", "probability": 0.95458984375}, {"start": 96.29, "end": 96.77, "word": " تبعه", "probability": 0.958251953125}, {"start": 96.77, "end": 97.43, "word": " هذا", "probability": 0.91650390625}, {"start": 97.43, "end": 97.55, "word": " اللي", "probability": 0.98583984375}, {"start": 97.55, "end": 98.11, "word": " بنسميه", "probability": 0.928466796875}, {"start": 98.11, "end": 98.99, "word": " bounded", "probability": 0.7021484375}, {"start": 98.99, "end": 99.69, "word": " linear", "probability": 0.92041015625}, {"start": 99.69, "end": 100.47, "word": " functional", "probability": 0.88037109375}, {"start": 100.47, "end": 100.79, "word": " يعني", "probability": 0.986572265625}, {"start": 100.79, "end": 101.13, "word": " أعطينا", "probability": 0.89521484375}, {"start": 101.13, "end": 101.43, "word": " اسم", "probability": 0.88720703125}, {"start": 101.43, "end": 101.83, "word": " خاص", "probability": 0.994384765625}], "temperature": 1.0}, {"id": 5, "seek": 13109, "start": 102.39, "end": 131.09, "text": "في النهاية اللي هو الـ scalar ما هو عليه نور في حالة الـ R الـ absolute value وفي حالة الـ C ما هو المدلس اللي هو يعني اللي احنا بنتعامل معاه دائما نيجي لأول نظرية النظرية الأولى a linear functional يعني كل linear functional is a linear operator وكل bounded linear functional is a bounded linear operator يعني اللي انطبق على ال bounded linear operators هنطبق عالميا على ال bounded linear functionals", "tokens": [41185, 28239, 11296, 10632, 13672, 1829, 31439, 2423, 39184, 39684, 19446, 31439, 47356, 8717, 13063, 8978, 11331, 6027, 3660, 2423, 39184, 497, 2423, 39184, 8236, 2158, 4032, 41185, 11331, 6027, 3660, 2423, 39184, 383, 19446, 31439, 9673, 3215, 1211, 3794, 13672, 1829, 31439, 37495, 22653, 13672, 1829, 1975, 5016, 8315, 44945, 2655, 3615, 10943, 1211, 20449, 40294, 11778, 16373, 15042, 8717, 1829, 7435, 1829, 5296, 10721, 12610, 8717, 19913, 2288, 10632, 28239, 19913, 2288, 10632, 16247, 12610, 7578, 257, 8213, 11745, 37495, 22653, 28242, 8213, 11745, 307, 257, 8213, 12973, 4032, 28820, 37498, 8213, 11745, 307, 257, 37498, 8213, 12973, 37495, 22653, 13672, 1829, 16472, 9566, 3555, 4587, 15844, 2423, 37498, 8213, 19077, 8032, 1863, 9566, 3555, 4587, 6225, 45340, 25528, 15844, 2423, 37498, 8213, 2445, 1124], "avg_logprob": -0.17065430420916528, "compression_ratio": 2.279352226720648, "no_speech_prob": 1.7285346984863281e-06, "words": [{"start": 102.39, "end": 102.57, "word": "في", "probability": 0.80126953125}, {"start": 102.57, "end": 103.17, "word": " النهاية", "probability": 0.947265625}, {"start": 103.17, "end": 103.41, "word": " اللي", "probability": 0.898681640625}, {"start": 103.41, "end": 103.61, "word": " هو", "probability": 0.994140625}, {"start": 103.61, "end": 103.81, "word": " الـ", "probability": 0.89501953125}, {"start": 103.81, "end": 104.13, "word": " scalar", "probability": 0.448486328125}, {"start": 104.13, "end": 104.33, "word": " ما", "probability": 0.90869140625}, {"start": 104.33, "end": 104.49, "word": " هو", "probability": 0.9609375}, {"start": 104.49, "end": 104.79, "word": " عليه", "probability": 0.759765625}, {"start": 104.79, "end": 105.21, "word": " نور", "probability": 0.747802734375}, {"start": 105.21, "end": 106.15, "word": " في", "probability": 0.2578125}, {"start": 106.15, "end": 106.49, "word": " حالة", "probability": 0.9913736979166666}, {"start": 106.49, "end": 106.61, "word": " الـ", "probability": 0.6884765625}, {"start": 106.61, "end": 106.69, "word": " R", "probability": 0.51806640625}, {"start": 106.69, "end": 106.83, "word": " الـ", "probability": 0.6004638671875}, {"start": 106.83, "end": 107.07, "word": " absolute", "probability": 0.60693359375}, {"start": 107.07, "end": 107.51, "word": " value", "probability": 0.99267578125}, {"start": 107.51, "end": 107.67, "word": " وفي", "probability": 0.738037109375}, {"start": 107.67, "end": 107.97, "word": " حالة", "probability": 0.99267578125}, {"start": 107.97, "end": 108.29, "word": " الـ", "probability": 0.8046875}, {"start": 108.29, "end": 108.97, "word": " C", "probability": 0.63720703125}, {"start": 108.97, "end": 109.09, "word": " ما", "probability": 0.90087890625}, {"start": 109.09, "end": 109.23, "word": " هو", "probability": 0.9501953125}, {"start": 109.23, "end": 109.71, "word": " المدلس", "probability": 0.771728515625}, {"start": 109.71, "end": 109.83, "word": " اللي", "probability": 0.862548828125}, {"start": 109.83, "end": 109.93, "word": " هو", "probability": 0.87060546875}, {"start": 109.93, "end": 110.89, "word": " يعني", "probability": 0.6981201171875}, {"start": 110.89, "end": 111.37, "word": " اللي", "probability": 0.957763671875}, {"start": 111.37, "end": 111.69, "word": " احنا", "probability": 0.861328125}, {"start": 111.69, "end": 112.21, "word": " بنتعامل", "probability": 0.88837890625}, {"start": 112.21, "end": 112.55, "word": " معاه", "probability": 0.99072265625}, {"start": 112.55, "end": 112.95, "word": " دائما", "probability": 0.8846028645833334}, {"start": 112.95, "end": 113.77, "word": " نيجي", "probability": 0.8717041015625}, {"start": 113.77, "end": 114.11, "word": " لأول", "probability": 0.9388020833333334}, {"start": 114.11, "end": 114.69, "word": " نظرية", "probability": 0.979248046875}, {"start": 114.69, "end": 115.29, "word": " النظرية", "probability": 0.9298095703125}, {"start": 115.29, "end": 116.15, "word": " الأولى", "probability": 0.9518229166666666}, {"start": 116.15, "end": 116.49, "word": " a", "probability": 0.76171875}, {"start": 116.49, "end": 116.87, "word": " linear", "probability": 0.95654296875}, {"start": 116.87, "end": 117.65, "word": " functional", "probability": 0.87060546875}, {"start": 117.65, "end": 118.49, "word": " يعني", "probability": 0.97314453125}, {"start": 118.49, "end": 118.87, "word": " كل", "probability": 0.97216796875}, {"start": 118.87, "end": 119.31, "word": " linear", "probability": 0.96923828125}, {"start": 119.31, "end": 119.73, "word": " functional", "probability": 0.873046875}, {"start": 119.73, "end": 120.03, "word": " is", "probability": 0.9453125}, {"start": 120.03, "end": 120.69, "word": " a", "probability": 0.89599609375}, {"start": 120.69, "end": 120.91, "word": " linear", "probability": 0.91748046875}, {"start": 120.91, "end": 121.37, "word": " operator", "probability": 0.9755859375}, {"start": 121.37, "end": 122.03, "word": " وكل", "probability": 0.958251953125}, {"start": 122.03, "end": 122.41, "word": " bounded", "probability": 0.927734375}, {"start": 122.41, "end": 122.73, "word": " linear", "probability": 0.93994140625}, {"start": 122.73, "end": 123.29, "word": " functional", "probability": 0.86962890625}, {"start": 123.29, "end": 123.75, "word": " is", "probability": 0.9580078125}, {"start": 123.75, "end": 123.95, "word": " a", "probability": 0.97314453125}, {"start": 123.95, "end": 124.31, "word": " bounded", "probability": 0.9453125}, {"start": 124.31, "end": 124.73, "word": " linear", "probability": 0.95361328125}, {"start": 124.73, "end": 125.25, "word": " operator", "probability": 0.97412109375}, {"start": 125.25, "end": 125.93, "word": " يعني", "probability": 0.982177734375}, {"start": 125.93, "end": 126.07, "word": " اللي", "probability": 0.982177734375}, {"start": 126.07, "end": 126.47, "word": " انطبق", "probability": 0.865966796875}, {"start": 126.47, "end": 126.63, "word": " على", "probability": 0.830078125}, {"start": 126.63, "end": 126.73, "word": " ال", "probability": 0.748046875}, {"start": 126.73, "end": 126.99, "word": " bounded", "probability": 0.77392578125}, {"start": 126.99, "end": 127.29, "word": " linear", "probability": 0.970703125}, {"start": 127.29, "end": 127.71, "word": " operators", "probability": 0.640625}, {"start": 127.71, "end": 128.19, "word": " هنطبق", "probability": 0.7005859375}, {"start": 128.19, "end": 128.71, "word": " عالميا", "probability": 0.8684895833333334}, {"start": 128.71, "end": 129.27, "word": " على", "probability": 0.66845703125}, {"start": 129.27, "end": 129.41, "word": " ال", "probability": 0.8486328125}, {"start": 129.41, "end": 129.83, "word": " bounded", "probability": 0.87890625}, {"start": 129.83, "end": 130.33, "word": " linear", "probability": 0.947265625}, {"start": 130.33, "end": 131.09, "word": " functionals", "probability": 0.828125}], "temperature": 1.0}, {"id": 6, "seek": 14716, "start": 133.45, "end": 147.17, "text": "النظرية 283 بتقول الـ a linear functional F with domain T in a normed space is continuous if and only if it is H-bound، ذات الحق إنها قبل شوية، هي نفس النظرية بس اللي هي بنأكدها على حالة الـ linear functional", "tokens": [6027, 1863, 19913, 2288, 10632, 7562, 18, 39894, 39648, 2423, 39184, 257, 8213, 11745, 479, 365, 9274, 314, 294, 257, 2026, 292, 1901, 307, 10957, 498, 293, 787, 498, 309, 307, 389, 12, 18767, 12399, 29910, 9307, 21542, 4587, 36145, 11296, 12174, 36150, 13412, 2407, 10632, 12399, 39896, 8717, 36178, 28239, 19913, 2288, 10632, 4724, 3794, 13672, 1829, 39896, 44945, 10721, 4117, 3215, 11296, 15844, 11331, 6027, 3660, 2423, 39184, 8213, 11745], "avg_logprob": -0.2900256881975148, "compression_ratio": 1.3333333333333333, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 133.45000000000002, "end": 134.05, "word": "النظرية", "probability": 0.86533203125}, {"start": 134.05, "end": 134.65, "word": " 283", "probability": 0.5523681640625}, {"start": 134.65, "end": 135.01, "word": " بتقول", "probability": 0.901123046875}, {"start": 135.01, "end": 135.13, "word": " الـ", "probability": 0.4141845703125}, {"start": 135.13, "end": 135.21, "word": " a", "probability": 0.3271484375}, {"start": 135.21, "end": 135.53, "word": " linear", "probability": 0.92724609375}, {"start": 135.53, "end": 136.09, "word": " functional", "probability": 0.7890625}, {"start": 136.09, "end": 136.45, "word": " F", "probability": 0.54736328125}, {"start": 136.45, "end": 136.67, "word": " with", "probability": 0.8466796875}, {"start": 136.67, "end": 136.97, "word": " domain", "probability": 0.80126953125}, {"start": 136.97, "end": 137.51, "word": " T", "probability": 0.93798828125}, {"start": 137.51, "end": 138.03, "word": " in", "probability": 0.8984375}, {"start": 138.03, "end": 138.13, "word": " a", "probability": 0.75}, {"start": 138.13, "end": 138.51, "word": " normed", "probability": 0.899169921875}, {"start": 138.51, "end": 138.93, "word": " space", "probability": 0.9296875}, {"start": 138.93, "end": 139.23, "word": " is", "probability": 0.939453125}, {"start": 139.23, "end": 139.69, "word": " continuous", "probability": 0.74658203125}, {"start": 139.69, "end": 140.03, "word": " if", "probability": 0.708984375}, {"start": 140.03, "end": 140.15, "word": " and", "probability": 0.70458984375}, {"start": 140.15, "end": 140.37, "word": " only", "probability": 0.91650390625}, {"start": 140.37, "end": 140.69, "word": " if", "probability": 0.970703125}, {"start": 140.69, "end": 141.55, "word": " it", "probability": 0.904296875}, {"start": 141.55, "end": 141.73, "word": " is", "probability": 0.8583984375}, {"start": 141.73, "end": 141.97, "word": " H", "probability": 0.25830078125}, {"start": 141.97, "end": 142.33, "word": "-bound،", "probability": 0.4648234049479167}, {"start": 142.33, "end": 142.45, "word": " ذات", "probability": 0.7734375}, {"start": 142.45, "end": 142.67, "word": " الحق", "probability": 0.53369140625}, {"start": 142.67, "end": 142.85, "word": " إنها", "probability": 0.64013671875}, {"start": 142.85, "end": 143.03, "word": " قبل", "probability": 0.94873046875}, {"start": 143.03, "end": 143.93, "word": " شوية،", "probability": 0.8240966796875}, {"start": 143.93, "end": 144.09, "word": " هي", "probability": 0.82568359375}, {"start": 144.09, "end": 144.35, "word": " نفس", "probability": 0.997314453125}, {"start": 144.35, "end": 144.73, "word": " النظرية", "probability": 0.9739990234375}, {"start": 144.73, "end": 144.95, "word": " بس", "probability": 0.8798828125}, {"start": 144.95, "end": 145.15, "word": " اللي", "probability": 0.85009765625}, {"start": 145.15, "end": 145.25, "word": " هي", "probability": 0.7392578125}, {"start": 145.25, "end": 145.89, "word": " بنأكدها", "probability": 0.95439453125}, {"start": 145.89, "end": 146.15, "word": " على", "probability": 0.89697265625}, {"start": 146.15, "end": 146.55, "word": " حالة", "probability": 0.9864908854166666}, {"start": 146.55, "end": 146.75, "word": " الـ", "probability": 0.836181640625}, {"start": 146.75, "end": 146.83, "word": " linear", "probability": 0.382080078125}, {"start": 146.83, "end": 147.17, "word": " functional", "probability": 0.7587890625}], "temperature": 1.0}, {"id": 7, "seek": 17114, "start": 147.92, "end": 171.14, "text": "الان examples بناخد أمثلة على اللي هو bounded linear functionals أو على ال linear functionals أو بدنا ناخد على اللي هو functionals ما تكونش إيش اللي هو linear أحيانا الان the norm ال norm اللي إحنا بنعرفه برمى من ال X لعند مين لعند ال R بياخد أي norm في أي element من ال X وبياخدله ال norm بطلع أيش ما له R positive اتحاد ال zero", "tokens": [6027, 7649, 5110, 44945, 47283, 3215, 5551, 2304, 12984, 37977, 15844, 13672, 1829, 31439, 37498, 8213, 2445, 1124, 34051, 15844, 2423, 8213, 2445, 1124, 34051, 47525, 8315, 8717, 47283, 3215, 15844, 13672, 1829, 31439, 2445, 1124, 19446, 6055, 30544, 8592, 11933, 1829, 8592, 13672, 1829, 31439, 8213, 5551, 5016, 1829, 7649, 995, 2423, 7649, 264, 2026, 2423, 2026, 13672, 1829, 11933, 5016, 8315, 44945, 3615, 28480, 3224, 4724, 2288, 2304, 7578, 9154, 2423, 1783, 5296, 3615, 41260, 3714, 9957, 5296, 3615, 41260, 2423, 497, 4724, 1829, 47283, 3215, 36632, 2026, 8978, 36632, 4478, 9154, 2423, 1783, 4032, 21292, 47283, 3215, 43761, 2423, 2026, 4724, 9566, 1211, 3615, 36632, 8592, 19446, 46740, 497, 3353, 1975, 2655, 5016, 18513, 2423, 4018], "avg_logprob": -0.24335937065382798, "compression_ratio": 1.9130434782608696, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 147.92, "end": 148.24, "word": "الان", "probability": 0.766357421875}, {"start": 148.24, "end": 148.84, "word": " examples", "probability": 0.266845703125}, {"start": 148.84, "end": 149.32, "word": " بناخد", "probability": 0.76025390625}, {"start": 149.32, "end": 149.78, "word": " أمثلة", "probability": 0.858642578125}, {"start": 149.78, "end": 150.1, "word": " على", "probability": 0.82958984375}, {"start": 150.1, "end": 150.44, "word": " اللي", "probability": 0.707275390625}, {"start": 150.44, "end": 150.6, "word": " هو", "probability": 0.93408203125}, {"start": 150.6, "end": 151.22, "word": " bounded", "probability": 0.70166015625}, {"start": 151.22, "end": 151.72, "word": " linear", "probability": 0.85888671875}, {"start": 151.72, "end": 152.36, "word": " functionals", "probability": 0.519287109375}, {"start": 152.36, "end": 152.54, "word": " أو", "probability": 0.73095703125}, {"start": 152.54, "end": 152.7, "word": " على", "probability": 0.76318359375}, {"start": 152.7, "end": 152.8, "word": " ال", "probability": 0.88134765625}, {"start": 152.8, "end": 153.04, "word": " linear", "probability": 0.67041015625}, {"start": 153.04, "end": 153.8, "word": " functionals", "probability": 0.85400390625}, {"start": 153.8, "end": 154.34, "word": " أو", "probability": 0.85205078125}, {"start": 154.34, "end": 154.66, "word": " بدنا", "probability": 0.865234375}, {"start": 154.66, "end": 155.04, "word": " ناخد", "probability": 0.9964192708333334}, {"start": 155.04, "end": 155.34, "word": " على", "probability": 0.80029296875}, {"start": 155.34, "end": 155.8, "word": " اللي", "probability": 0.98095703125}, {"start": 155.8, "end": 156.0, "word": " هو", "probability": 0.9853515625}, {"start": 156.0, "end": 156.68, "word": " functionals", "probability": 0.628662109375}, {"start": 156.68, "end": 156.82, "word": " ما", "probability": 0.53955078125}, {"start": 156.82, "end": 157.22, "word": " تكونش", "probability": 0.861328125}, {"start": 157.22, "end": 157.66, "word": " إيش", "probability": 0.7413736979166666}, {"start": 157.66, "end": 158.16, "word": " اللي", "probability": 0.9951171875}, {"start": 158.16, "end": 158.28, "word": " هو", "probability": 0.9814453125}, {"start": 158.28, "end": 158.62, "word": " linear", "probability": 0.85302734375}, {"start": 158.62, "end": 159.2, "word": " أحيانا", "probability": 0.971875}, {"start": 159.2, "end": 159.86, "word": " الان", "probability": 0.79833984375}, {"start": 159.86, "end": 160.02, "word": " the", "probability": 0.51953125}, {"start": 160.02, "end": 160.52, "word": " norm", "probability": 0.95849609375}, {"start": 160.52, "end": 160.7, "word": " ال", "probability": 0.302490234375}, {"start": 160.7, "end": 161.12, "word": " norm", "probability": 0.8525390625}, {"start": 161.12, "end": 161.56, "word": " اللي", "probability": 0.88525390625}, {"start": 161.56, "end": 161.74, "word": " إحنا", "probability": 0.8019205729166666}, {"start": 161.74, "end": 162.4, "word": " بنعرفه", "probability": 0.96875}, {"start": 162.4, "end": 163.14, "word": " برمى", "probability": 0.8048095703125}, {"start": 163.14, "end": 163.3, "word": " من", "probability": 0.9912109375}, {"start": 163.3, "end": 163.48, "word": " ال", "probability": 0.92724609375}, {"start": 163.48, "end": 163.74, "word": " X", "probability": 0.65087890625}, {"start": 163.74, "end": 164.08, "word": " لعند", "probability": 0.8829752604166666}, {"start": 164.08, "end": 164.46, "word": " مين", "probability": 0.891845703125}, {"start": 164.46, "end": 164.86, "word": " لعند", "probability": 0.8712565104166666}, {"start": 164.86, "end": 164.98, "word": " ال", "probability": 0.96337890625}, {"start": 164.98, "end": 165.08, "word": " R", "probability": 0.9462890625}, {"start": 165.08, "end": 165.44, "word": " بياخد", "probability": 0.923828125}, {"start": 165.44, "end": 165.6, "word": " أي", "probability": 0.73583984375}, {"start": 165.6, "end": 165.86, "word": " norm", "probability": 0.74267578125}, {"start": 165.86, "end": 166.0, "word": " في", "probability": 0.947265625}, {"start": 166.0, "end": 166.46, "word": " أي", "probability": 0.8359375}, {"start": 166.46, "end": 166.9, "word": " element", "probability": 0.9560546875}, {"start": 166.9, "end": 167.06, "word": " من", "probability": 0.76904296875}, {"start": 167.06, "end": 167.12, "word": " ال", "probability": 0.685546875}, {"start": 167.12, "end": 167.34, "word": " X", "probability": 0.990234375}, {"start": 167.34, "end": 168.18, "word": " وبياخدله", "probability": 0.794677734375}, {"start": 168.18, "end": 168.28, "word": " ال", "probability": 0.681640625}, {"start": 168.28, "end": 168.56, "word": " norm", "probability": 0.94921875}, {"start": 168.56, "end": 168.96, "word": " بطلع", "probability": 0.7579345703125}, {"start": 168.96, "end": 169.18, "word": " أيش", "probability": 0.4732666015625}, {"start": 169.18, "end": 169.32, "word": " ما", "probability": 0.353271484375}, {"start": 169.32, "end": 169.56, "word": " له", "probability": 0.88037109375}, {"start": 169.56, "end": 170.06, "word": " R", "probability": 0.580078125}, {"start": 170.06, "end": 170.4, "word": " positive", "probability": 0.74755859375}, {"start": 170.4, "end": 170.76, "word": " اتحاد", "probability": 0.88330078125}, {"start": 170.76, "end": 170.86, "word": " ال", "probability": 0.52685546875}, {"start": 170.86, "end": 171.14, "word": " zero", "probability": 0.533203125}], "temperature": 1.0}, {"id": 8, "seek": 19602, "start": 172.16, "end": 196.02, "text": "on a normed space X is a functional صح لكن ايش ماله انه X which is not linear مش linear لأنه بنعرف احنا اللي هو norm norm norm الـ Alpha X زائد Beta أو Y زائد Y ليس شرطا هذا أصغر أو ساوي absolute value لل X في norm ال X زائد norm ال Y", "tokens": [266, 257, 2026, 292, 1901, 1783, 307, 257, 11745, 20328, 5016, 44381, 1975, 1829, 8592, 3714, 6027, 3224, 16472, 3224, 1783, 597, 307, 406, 8213, 37893, 8213, 5296, 33456, 3224, 44945, 3615, 28480, 1975, 5016, 8315, 13672, 1829, 31439, 2026, 2026, 2026, 2423, 39184, 20588, 1783, 30767, 16373, 3215, 33286, 34051, 398, 30767, 16373, 3215, 398, 32239, 3794, 13412, 2288, 9566, 995, 23758, 5551, 9381, 17082, 2288, 34051, 8608, 995, 45865, 8236, 2158, 24976, 1783, 8978, 2026, 2423, 1783, 30767, 16373, 3215, 2026, 2423, 398], "avg_logprob": -0.28597383305083873, "compression_ratio": 1.4858490566037736, "no_speech_prob": 7.748603820800781e-07, "words": [{"start": 172.16, "end": 172.52, "word": "on", "probability": 0.346435546875}, {"start": 172.52, "end": 172.7, "word": " a", "probability": 0.6865234375}, {"start": 172.7, "end": 173.06, "word": " normed", "probability": 0.5654296875}, {"start": 173.06, "end": 173.46, "word": " space", "probability": 0.82568359375}, {"start": 173.46, "end": 173.92, "word": " X", "probability": 0.81005859375}, {"start": 173.92, "end": 174.38, "word": " is", "probability": 0.6982421875}, {"start": 174.38, "end": 174.62, "word": " a", "probability": 0.84619140625}, {"start": 174.62, "end": 175.22, "word": " functional", "probability": 0.8857421875}, {"start": 175.22, "end": 175.74, "word": " صح", "probability": 0.92578125}, {"start": 175.74, "end": 176.58, "word": " لكن", "probability": 0.875}, {"start": 176.58, "end": 176.92, "word": " ايش", "probability": 0.6996256510416666}, {"start": 176.92, "end": 177.44, "word": " ماله", "probability": 0.8356119791666666}, {"start": 177.44, "end": 178.1, "word": " انه", "probability": 0.544921875}, {"start": 178.1, "end": 178.38, "word": " X", "probability": 0.873046875}, {"start": 178.38, "end": 178.7, "word": " which", "probability": 0.91845703125}, {"start": 178.7, "end": 178.96, "word": " is", "probability": 0.958984375}, {"start": 178.96, "end": 179.32, "word": " not", "probability": 0.94775390625}, {"start": 179.32, "end": 180.08, "word": " linear", "probability": 0.921875}, {"start": 180.08, "end": 180.42, "word": " مش", "probability": 0.85546875}, {"start": 180.42, "end": 180.72, "word": " linear", "probability": 0.595703125}, {"start": 180.72, "end": 180.96, "word": " لأنه", "probability": 0.4877115885416667}, {"start": 180.96, "end": 181.28, "word": " بنعرف", "probability": 0.7393391927083334}, {"start": 181.28, "end": 181.58, "word": " احنا", "probability": 0.9366861979166666}, {"start": 181.58, "end": 182.18, "word": " اللي", "probability": 0.97412109375}, {"start": 182.18, "end": 182.5, "word": " هو", "probability": 0.99365234375}, {"start": 182.5, "end": 183.82, "word": " norm", "probability": 0.81884765625}, {"start": 183.82, "end": 184.74, "word": " norm", "probability": 0.384033203125}, {"start": 184.74, "end": 185.82, "word": " norm", "probability": 0.58984375}, {"start": 185.82, "end": 186.48, "word": " الـ", "probability": 0.56640625}, {"start": 186.48, "end": 186.64, "word": " Alpha", "probability": 0.303466796875}, {"start": 186.64, "end": 187.1, "word": " X", "probability": 0.958984375}, {"start": 187.1, "end": 187.72, "word": " زائد", "probability": 0.8338216145833334}, {"start": 187.72, "end": 188.4, "word": " Beta", "probability": 0.8203125}, {"start": 188.4, "end": 188.68, "word": " أو", "probability": 0.75927734375}, {"start": 188.68, "end": 188.9, "word": " Y", "probability": 0.90380859375}, {"start": 188.9, "end": 189.26, "word": " زائد", "probability": 0.9599609375}, {"start": 189.26, "end": 189.64, "word": " Y", "probability": 0.95556640625}, {"start": 189.64, "end": 190.68, "word": " ليس", "probability": 0.925048828125}, {"start": 190.68, "end": 191.3, "word": " شرطا", "probability": 0.9578857421875}, {"start": 191.3, "end": 191.5, "word": " هذا", "probability": 0.42333984375}, {"start": 191.5, "end": 191.88, "word": " أصغر", "probability": 0.911376953125}, {"start": 191.88, "end": 191.98, "word": " أو", "probability": 0.91015625}, {"start": 191.98, "end": 192.38, "word": " ساوي", "probability": 0.798828125}, {"start": 192.38, "end": 193.04, "word": " absolute", "probability": 0.7685546875}, {"start": 193.04, "end": 193.48, "word": " value", "probability": 0.98486328125}, {"start": 193.48, "end": 193.64, "word": " لل", "probability": 0.2222900390625}, {"start": 193.64, "end": 193.86, "word": " X", "probability": 0.6572265625}, {"start": 193.86, "end": 194.06, "word": " في", "probability": 0.8994140625}, {"start": 194.06, "end": 194.28, "word": " norm", "probability": 0.293701171875}, {"start": 194.28, "end": 194.44, "word": " ال", "probability": 0.53955078125}, {"start": 194.44, "end": 194.76, "word": " X", "probability": 0.80078125}, {"start": 194.76, "end": 195.24, "word": " زائد", "probability": 0.9757486979166666}, {"start": 195.24, "end": 195.56, "word": " norm", "probability": 0.7353515625}, {"start": 195.56, "end": 195.74, "word": " ال", "probability": 0.953125}, {"start": 195.74, "end": 196.02, "word": " Y", "probability": 0.986328125}], "temperature": 1.0}, {"id": 9, "seek": 21850, "start": 196.34, "end": 218.5, "text": "ولكن المساواة ليس شرطا أن تحدث عشان هيك اشماله is not linear طيب الان نجي لـ Dot product ال dot product العادل اللي احنا بنعرفه let A بتساوي الف واحد الف اتنين الف تلاتة لعند B I fix element in R تكعيب define F من R تكعيب لعند R by", "tokens": [12610, 19452, 9673, 3794, 995, 14407, 3660, 32239, 3794, 13412, 2288, 9566, 995, 14739, 6055, 24401, 12984, 6225, 8592, 7649, 39896, 4117, 1975, 8592, 2304, 6027, 3224, 307, 406, 8213, 23032, 1829, 3555, 2423, 7649, 8717, 7435, 1829, 5296, 39184, 38753, 1674, 2423, 5893, 1674, 18863, 18513, 1211, 13672, 1829, 1975, 5016, 8315, 44945, 3615, 28480, 3224, 718, 316, 39894, 3794, 995, 45865, 27188, 36764, 24401, 27188, 1975, 2655, 1863, 9957, 27188, 6055, 1211, 9307, 3660, 5296, 3615, 41260, 363, 286, 3191, 4478, 294, 497, 6055, 4117, 3615, 1829, 3555, 6964, 479, 9154, 497, 6055, 4117, 3615, 1829, 3555, 5296, 3615, 41260, 497, 538], "avg_logprob": -0.21101189794994535, "compression_ratio": 1.550660792951542, "no_speech_prob": 2.0265579223632812e-06, "words": [{"start": 196.34, "end": 197.08, "word": "ولكن", "probability": 0.908447265625}, {"start": 197.08, "end": 198.32, "word": " المساواة", "probability": 0.887109375}, {"start": 198.32, "end": 199.1, "word": " ليس", "probability": 0.91162109375}, {"start": 199.1, "end": 199.92, "word": " شرطا", "probability": 0.9593505859375}, {"start": 199.92, "end": 200.3, "word": " أن", "probability": 0.479736328125}, {"start": 200.3, "end": 201.22, "word": " تحدث", "probability": 0.9778645833333334}, {"start": 201.22, "end": 201.82, "word": " عشان", "probability": 0.8328450520833334}, {"start": 201.82, "end": 202.02, "word": " هيك", "probability": 0.791015625}, {"start": 202.02, "end": 202.56, "word": " اشماله", "probability": 0.76259765625}, {"start": 202.56, "end": 203.12, "word": " is", "probability": 0.611328125}, {"start": 203.12, "end": 203.6, "word": " not", "probability": 0.94189453125}, {"start": 203.6, "end": 204.48, "word": " linear", "probability": 0.89404296875}, {"start": 204.48, "end": 205.4, "word": " طيب", "probability": 0.8362630208333334}, {"start": 205.4, "end": 206.16, "word": " الان", "probability": 0.6806640625}, {"start": 206.16, "end": 206.54, "word": " نجي", "probability": 0.7745768229166666}, {"start": 206.54, "end": 206.72, "word": " لـ", "probability": 0.5947265625}, {"start": 206.72, "end": 206.9, "word": " Dot", "probability": 0.176513671875}, {"start": 206.9, "end": 207.52, "word": " product", "probability": 0.607421875}, {"start": 207.52, "end": 207.74, "word": " ال", "probability": 0.6357421875}, {"start": 207.74, "end": 207.88, "word": " dot", "probability": 0.4892578125}, {"start": 207.88, "end": 208.32, "word": " product", "probability": 0.96826171875}, {"start": 208.32, "end": 208.76, "word": " العادل", "probability": 0.9482421875}, {"start": 208.76, "end": 208.88, "word": " اللي", "probability": 0.9580078125}, {"start": 208.88, "end": 209.06, "word": " احنا", "probability": 0.9417317708333334}, {"start": 209.06, "end": 209.9, "word": " بنعرفه", "probability": 0.962646484375}, {"start": 209.9, "end": 210.5, "word": " let", "probability": 0.57666015625}, {"start": 210.5, "end": 210.7, "word": " A", "probability": 0.513671875}, {"start": 210.7, "end": 211.14, "word": " بتساوي", "probability": 0.7269287109375}, {"start": 211.14, "end": 211.38, "word": " الف", "probability": 0.48779296875}, {"start": 211.38, "end": 211.9, "word": " واحد", "probability": 0.9462890625}, {"start": 211.9, "end": 212.18, "word": " الف", "probability": 0.7626953125}, {"start": 212.18, "end": 212.58, "word": " اتنين", "probability": 0.9173583984375}, {"start": 212.58, "end": 212.76, "word": " الف", "probability": 0.92724609375}, {"start": 212.76, "end": 213.2, "word": " تلاتة", "probability": 0.94921875}, {"start": 213.2, "end": 213.4, "word": " لعند", "probability": 0.80810546875}, {"start": 213.4, "end": 213.58, "word": " B", "probability": 0.61083984375}, {"start": 213.58, "end": 213.72, "word": " I", "probability": 0.18115234375}, {"start": 213.72, "end": 213.92, "word": " fix", "probability": 0.59033203125}, {"start": 213.92, "end": 214.34, "word": " element", "probability": 0.6904296875}, {"start": 214.34, "end": 214.54, "word": " in", "probability": 0.89404296875}, {"start": 214.54, "end": 214.74, "word": " R", "probability": 0.921875}, {"start": 214.74, "end": 215.2, "word": " تكعيب", "probability": 0.9599609375}, {"start": 215.2, "end": 216.24, "word": " define", "probability": 0.5673828125}, {"start": 216.24, "end": 216.6, "word": " F", "probability": 0.89208984375}, {"start": 216.6, "end": 216.82, "word": " من", "probability": 0.9912109375}, {"start": 216.82, "end": 217.12, "word": " R", "probability": 0.9560546875}, {"start": 217.12, "end": 217.5, "word": " تكعيب", "probability": 0.9927734375}, {"start": 217.5, "end": 217.82, "word": " لعند", "probability": 0.9661458333333334}, {"start": 217.82, "end": 218.16, "word": " R", "probability": 0.95263671875}, {"start": 218.16, "end": 218.5, "word": " by", "probability": 0.5654296875}], "temperature": 1.0}, {"id": 10, "seek": 24618, "start": 219.14, "end": 246.18, "text": "F of X ايش بتساوي؟ X ضد الـA، ماشي الحال؟ الـ dot product العادى اللي هو بياخد ال vector في الـR تكييب و بضربه في ال vector لكن بطلع قيمة ال dot product يشمله scalar اللي هو بطلع في الـR فهذا مثال على linear functional which is bounded then F is a bounded linear functional ومش هيك كمان normal F هيساوي مين؟ normal A", "tokens": [37, 295, 1783, 1975, 1829, 8592, 39894, 3794, 995, 45865, 22807, 1783, 48812, 3215, 2423, 39184, 32, 12399, 3714, 33599, 1829, 21542, 6027, 22807, 2423, 39184, 5893, 1674, 18863, 18513, 7578, 13672, 1829, 31439, 4724, 1829, 47283, 3215, 2423, 8062, 8978, 2423, 39184, 49, 6055, 4117, 1829, 1829, 3555, 4032, 4724, 11242, 25513, 3224, 8978, 2423, 8062, 44381, 4724, 9566, 1211, 3615, 12174, 32640, 3660, 2423, 5893, 1674, 7251, 8592, 42213, 3224, 39684, 13672, 1829, 31439, 4724, 9566, 1211, 3615, 8978, 2423, 39184, 49, 6156, 3224, 15730, 50113, 6027, 15844, 8213, 11745, 597, 307, 37498, 550, 479, 307, 257, 37498, 8213, 11745, 4032, 2304, 8592, 39896, 4117, 9122, 2304, 7649, 2710, 479, 39896, 3794, 995, 45865, 3714, 9957, 22807, 2710, 316], "avg_logprob": -0.24039446904522474, "compression_ratio": 1.703422053231939, "no_speech_prob": 1.3172626495361328e-05, "words": [{"start": 219.14, "end": 219.38, "word": "F", "probability": 0.268310546875}, {"start": 219.38, "end": 219.54, "word": " of", "probability": 0.351318359375}, {"start": 219.54, "end": 219.74, "word": " X", "probability": 0.94970703125}, {"start": 219.74, "end": 219.94, "word": " ايش", "probability": 0.6709187825520834}, {"start": 219.94, "end": 220.9, "word": " بتساوي؟", "probability": 0.79130859375}, {"start": 220.9, "end": 221.28, "word": " X", "probability": 0.93017578125}, {"start": 221.28, "end": 221.8, "word": " ضد", "probability": 0.6390380859375}, {"start": 221.8, "end": 222.56, "word": " الـA،", "probability": 0.530059814453125}, {"start": 222.56, "end": 222.82, "word": " ماشي", "probability": 0.85498046875}, {"start": 222.82, "end": 223.82, "word": " الحال؟", "probability": 0.7224934895833334}, {"start": 223.82, "end": 223.98, "word": " الـ", "probability": 0.874755859375}, {"start": 223.98, "end": 224.06, "word": " dot", "probability": 0.164794921875}, {"start": 224.06, "end": 224.34, "word": " product", "probability": 0.958984375}, {"start": 224.34, "end": 224.86, "word": " العادى", "probability": 0.900390625}, {"start": 224.86, "end": 225.4, "word": " اللي", "probability": 0.738525390625}, {"start": 225.4, "end": 225.5, "word": " هو", "probability": 0.376708984375}, {"start": 225.5, "end": 225.92, "word": " بياخد", "probability": 0.80029296875}, {"start": 225.92, "end": 226.04, "word": " ال", "probability": 0.9287109375}, {"start": 226.04, "end": 226.28, "word": " vector", "probability": 0.86767578125}, {"start": 226.28, "end": 226.46, "word": " في", "probability": 0.76708984375}, {"start": 226.46, "end": 226.64, "word": " الـR", "probability": 0.7036946614583334}, {"start": 226.64, "end": 227.08, "word": " تكييب", "probability": 0.84580078125}, {"start": 227.08, "end": 227.22, "word": " و", "probability": 0.73046875}, {"start": 227.22, "end": 227.6, "word": " بضربه", "probability": 0.89208984375}, {"start": 227.6, "end": 227.7, "word": " في", "probability": 0.85546875}, {"start": 227.7, "end": 227.8, "word": " ال", "probability": 0.978515625}, {"start": 227.8, "end": 228.08, "word": " vector", "probability": 0.93310546875}, {"start": 228.08, "end": 228.52, "word": " لكن", "probability": 0.76611328125}, {"start": 228.52, "end": 228.94, "word": " بطلع", "probability": 0.9310302734375}, {"start": 228.94, "end": 229.32, "word": " قيمة", "probability": 0.9697265625}, {"start": 229.32, "end": 229.42, "word": " ال", "probability": 0.90234375}, {"start": 229.42, "end": 229.56, "word": " dot", "probability": 0.763671875}, {"start": 229.56, "end": 229.88, "word": " product", "probability": 0.9677734375}, {"start": 229.88, "end": 230.4, "word": " يشمله", "probability": 0.7021484375}, {"start": 230.4, "end": 230.86, "word": " scalar", "probability": 0.57080078125}, {"start": 230.86, "end": 231.56, "word": " اللي", "probability": 0.95849609375}, {"start": 231.56, "end": 231.66, "word": " هو", "probability": 0.921875}, {"start": 231.66, "end": 232.02, "word": " بطلع", "probability": 0.9285888671875}, {"start": 232.02, "end": 232.16, "word": " في", "probability": 0.92236328125}, {"start": 232.16, "end": 232.3, "word": " الـR", "probability": 0.84912109375}, {"start": 232.3, "end": 232.66, "word": " فهذا", "probability": 0.9036458333333334}, {"start": 232.66, "end": 233.3, "word": " مثال", "probability": 0.97509765625}, {"start": 233.3, "end": 234.06, "word": " على", "probability": 0.87109375}, {"start": 234.06, "end": 234.46, "word": " linear", "probability": 0.93017578125}, {"start": 234.46, "end": 235.2, "word": " functional", "probability": 0.876953125}, {"start": 235.2, "end": 236.28, "word": " which", "probability": 0.93310546875}, {"start": 236.28, "end": 236.58, "word": " is", "probability": 0.974609375}, {"start": 236.58, "end": 237.16, "word": " bounded", "probability": 0.93115234375}, {"start": 237.16, "end": 237.66, "word": " then", "probability": 0.67578125}, {"start": 237.66, "end": 238.12, "word": " F", "probability": 0.9287109375}, {"start": 238.12, "end": 238.56, "word": " is", "probability": 0.9638671875}, {"start": 238.56, "end": 238.82, "word": " a", "probability": 0.84033203125}, {"start": 238.82, "end": 239.2, "word": " bounded", "probability": 0.9609375}, {"start": 239.2, "end": 239.62, "word": " linear", "probability": 0.80908203125}, {"start": 239.62, "end": 240.2, "word": " functional", "probability": 0.84912109375}, {"start": 240.2, "end": 240.98, "word": " ومش", "probability": 0.9518229166666666}, {"start": 240.98, "end": 241.36, "word": " هيك", "probability": 0.966552734375}, {"start": 241.36, "end": 241.84, "word": " كمان", "probability": 0.9964192708333334}, {"start": 241.84, "end": 243.06, "word": " normal", "probability": 0.544921875}, {"start": 243.06, "end": 243.64, "word": " F", "probability": 0.96826171875}, {"start": 243.64, "end": 244.22, "word": " هيساوي", "probability": 0.79638671875}, {"start": 244.22, "end": 245.02, "word": " مين؟", "probability": 0.9015299479166666}, {"start": 245.02, "end": 245.88, "word": " normal", "probability": 0.68359375}, {"start": 245.88, "end": 246.18, "word": " A", "probability": 0.9736328125}], "temperature": 1.0}, {"id": 11, "seek": 26717, "start": 246.41, "end": 267.17, "text": "خلّينا نشوف الآن اللي هي نبرهن البرهان for all x y element in x and all scalars α احسب للآن f of α x زائد y ايش حسب القانون؟ طبعا الـ A عبارة عن جيبنا A متجه معين وهو أداة التعريف", "tokens": [9778, 1211, 11703, 9957, 995, 8717, 8592, 38688, 6024, 48506, 13672, 1829, 39896, 8717, 26890, 3224, 1863, 2423, 26890, 3224, 7649, 337, 439, 2031, 288, 4478, 294, 2031, 293, 439, 15664, 685, 5691, 1975, 5016, 35457, 5296, 1211, 148, 48506, 283, 295, 5691, 2031, 30767, 16373, 3215, 288, 1975, 1829, 8592, 11331, 35457, 25062, 7649, 11536, 22807, 23032, 3555, 3615, 995, 2423, 39184, 316, 6225, 3555, 9640, 3660, 18871, 10874, 1829, 3555, 8315, 316, 44650, 7435, 3224, 20449, 9957, 37037, 2407, 5551, 28259, 3660, 16712, 3615, 16572, 5172], "avg_logprob": -0.24209972579827468, "compression_ratio": 1.435897435897436, "no_speech_prob": 6.4373016357421875e-06, "words": [{"start": 246.41, "end": 246.85, "word": "خلّينا", "probability": 0.8724609375}, {"start": 246.85, "end": 247.13, "word": " نشوف", "probability": 0.9796549479166666}, {"start": 247.13, "end": 247.53, "word": " الآن", "probability": 0.697509765625}, {"start": 247.53, "end": 248.13, "word": " اللي", "probability": 0.83740234375}, {"start": 248.13, "end": 248.41, "word": " هي", "probability": 0.8486328125}, {"start": 248.41, "end": 249.43, "word": " نبرهن", "probability": 0.8331298828125}, {"start": 249.43, "end": 249.95, "word": " البرهان", "probability": 0.812744140625}, {"start": 249.95, "end": 251.59, "word": " for", "probability": 0.5185546875}, {"start": 251.59, "end": 251.93, "word": " all", "probability": 0.9345703125}, {"start": 251.93, "end": 252.21, "word": " x", "probability": 0.6416015625}, {"start": 252.21, "end": 252.59, "word": " y", "probability": 0.46533203125}, {"start": 252.59, "end": 252.93, "word": " element", "probability": 0.68798828125}, {"start": 252.93, "end": 253.19, "word": " in", "probability": 0.9501953125}, {"start": 253.19, "end": 253.55, "word": " x", "probability": 0.50732421875}, {"start": 253.55, "end": 254.27, "word": " and", "probability": 0.95068359375}, {"start": 254.27, "end": 254.55, "word": " all", "probability": 0.92626953125}, {"start": 254.55, "end": 255.15, "word": " scalars", "probability": 0.913818359375}, {"start": 255.15, "end": 255.55, "word": " α", "probability": 0.50634765625}, {"start": 255.55, "end": 256.63, "word": " احسب", "probability": 0.8192545572916666}, {"start": 256.63, "end": 257.07, "word": " للآن", "probability": 0.55010986328125}, {"start": 257.07, "end": 257.43, "word": " f", "probability": 0.55908203125}, {"start": 257.43, "end": 257.61, "word": " of", "probability": 0.60791015625}, {"start": 257.61, "end": 257.81, "word": " α", "probability": 0.7099609375}, {"start": 257.81, "end": 258.03, "word": " x", "probability": 0.640625}, {"start": 258.03, "end": 258.37, "word": " زائد", "probability": 0.8478190104166666}, {"start": 258.37, "end": 258.71, "word": " y", "probability": 0.96240234375}, {"start": 258.71, "end": 259.59, "word": " ايش", "probability": 0.7285970052083334}, {"start": 259.59, "end": 259.85, "word": " حسب", "probability": 0.991455078125}, {"start": 259.85, "end": 260.61, "word": " القانون؟", "probability": 0.76361083984375}, {"start": 260.61, "end": 261.33, "word": " طبعا", "probability": 0.8524169921875}, {"start": 261.33, "end": 261.55, "word": " الـ", "probability": 0.6204833984375}, {"start": 261.55, "end": 261.59, "word": " A", "probability": 0.31884765625}, {"start": 261.59, "end": 262.05, "word": " عبارة", "probability": 0.9749755859375}, {"start": 262.05, "end": 262.21, "word": " عن", "probability": 0.98828125}, {"start": 262.21, "end": 262.63, "word": " جيبنا", "probability": 0.806884765625}, {"start": 262.63, "end": 262.95, "word": " A", "probability": 0.67236328125}, {"start": 262.95, "end": 264.39, "word": " متجه", "probability": 0.89501953125}, {"start": 264.39, "end": 264.97, "word": " معين", "probability": 0.979736328125}, {"start": 264.97, "end": 265.79, "word": " وهو", "probability": 0.72265625}, {"start": 265.79, "end": 266.33, "word": " أداة", "probability": 0.8601888020833334}, {"start": 266.33, "end": 267.17, "word": " التعريف", "probability": 0.993408203125}], "temperature": 1.0}, {"id": 12, "seek": 28907, "start": 267.77, "end": 289.07, "text": "بضرب الـ X فيه ماشي بيصير Alpha X زائد Y Dot من الـ A وعارفين أننا الـ dot و ال product بيتوزع من الخلق و للـ C بيساوي Alpha في X Dot A زائد Y في منه Dot A هذه بيصير Alpha F of X زائد F of Y وهذا يعني أن F أشماله is a linear functional لإنها بترمي في الـ R زي ما قلنا", "tokens": [3555, 11242, 25513, 2423, 39184, 1783, 8978, 3224, 3714, 33599, 1829, 4724, 1829, 9381, 13546, 20588, 1783, 30767, 16373, 3215, 398, 38753, 9154, 2423, 39184, 316, 4032, 3615, 9640, 5172, 9957, 14739, 8315, 2423, 39184, 5893, 4032, 2423, 1674, 4724, 36081, 2407, 11622, 3615, 9154, 33962, 1211, 4587, 4032, 24976, 39184, 383, 4724, 1829, 3794, 995, 45865, 20588, 8978, 1783, 38753, 316, 30767, 16373, 3215, 398, 8978, 9154, 3224, 38753, 316, 29538, 4724, 1829, 9381, 13546, 20588, 479, 295, 1783, 30767, 16373, 3215, 479, 295, 398, 37037, 15730, 37495, 22653, 14739, 479, 5551, 8592, 2304, 6027, 3224, 307, 257, 8213, 11745, 5296, 28814, 1863, 11296, 39894, 2288, 2304, 1829, 8978, 2423, 39184, 497, 30767, 1829, 19446, 12174, 1211, 8315], "avg_logprob": -0.2958333452542623, "compression_ratio": 1.640495867768595, "no_speech_prob": 2.3245811462402344e-06, "words": [{"start": 267.77, "end": 268.15, "word": "بضرب", "probability": 0.7687174479166666}, {"start": 268.15, "end": 268.35, "word": " الـ", "probability": 0.721923828125}, {"start": 268.35, "end": 268.53, "word": " X", "probability": 0.405029296875}, {"start": 268.53, "end": 268.93, "word": " فيه", "probability": 0.96533203125}, {"start": 268.93, "end": 269.41, "word": " ماشي", "probability": 0.7239990234375}, {"start": 269.41, "end": 270.29, "word": " بيصير", "probability": 0.77203369140625}, {"start": 270.29, "end": 270.59, "word": " Alpha", "probability": 0.392822265625}, {"start": 270.59, "end": 270.83, "word": " X", "probability": 0.9384765625}, {"start": 270.83, "end": 271.15, "word": " زائد", "probability": 0.6321614583333334}, {"start": 271.15, "end": 271.41, "word": " Y", "probability": 0.98828125}, {"start": 271.41, "end": 271.73, "word": " Dot", "probability": 0.35400390625}, {"start": 271.73, "end": 271.99, "word": " من", "probability": 0.26513671875}, {"start": 271.99, "end": 272.41, "word": " الـ", "probability": 0.7529296875}, {"start": 272.41, "end": 272.51, "word": " A", "probability": 0.802734375}, {"start": 272.51, "end": 273.19, "word": " وعارفين", "probability": 0.87470703125}, {"start": 273.19, "end": 273.41, "word": " أننا", "probability": 0.3953857421875}, {"start": 273.41, "end": 273.61, "word": " الـ", "probability": 0.5802001953125}, {"start": 273.61, "end": 273.73, "word": " dot", "probability": 0.2919921875}, {"start": 273.73, "end": 273.83, "word": " و", "probability": 0.3408203125}, {"start": 273.83, "end": 273.87, "word": " ال", "probability": 0.9755859375}, {"start": 273.87, "end": 274.11, "word": " product", "probability": 0.931640625}, {"start": 274.11, "end": 274.71, "word": " بيتوزع", "probability": 0.858837890625}, {"start": 274.71, "end": 274.87, "word": " من", "probability": 0.97802734375}, {"start": 274.87, "end": 275.21, "word": " الخلق", "probability": 0.6409505208333334}, {"start": 275.21, "end": 275.29, "word": " و", "probability": 0.1630859375}, {"start": 275.29, "end": 275.45, "word": " للـ", "probability": 0.6015625}, {"start": 275.45, "end": 275.65, "word": " C", "probability": 0.9326171875}, {"start": 275.65, "end": 276.41, "word": " بيساوي", "probability": 0.665380859375}, {"start": 276.41, "end": 276.83, "word": " Alpha", "probability": 0.947265625}, {"start": 276.83, "end": 277.41, "word": " في", "probability": 0.724609375}, {"start": 277.41, "end": 277.71, "word": " X", "probability": 0.98388671875}, {"start": 277.71, "end": 277.97, "word": " Dot", "probability": 0.87744140625}, {"start": 277.97, "end": 278.27, "word": " A", "probability": 0.9619140625}, {"start": 278.27, "end": 278.69, "word": " زائد", "probability": 0.9669596354166666}, {"start": 278.69, "end": 278.89, "word": " Y", "probability": 0.98779296875}, {"start": 278.89, "end": 279.09, "word": " في", "probability": 0.95703125}, {"start": 279.09, "end": 279.67, "word": " منه", "probability": 0.5211181640625}, {"start": 279.67, "end": 279.93, "word": " Dot", "probability": 0.67138671875}, {"start": 279.93, "end": 280.19, "word": " A", "probability": 0.9638671875}, {"start": 280.19, "end": 280.79, "word": " هذه", "probability": 0.302001953125}, {"start": 280.79, "end": 281.23, "word": " بيصير", "probability": 0.9749755859375}, {"start": 281.23, "end": 281.59, "word": " Alpha", "probability": 0.96533203125}, {"start": 281.59, "end": 282.01, "word": " F", "probability": 0.91748046875}, {"start": 282.01, "end": 282.25, "word": " of", "probability": 0.76171875}, {"start": 282.25, "end": 282.65, "word": " X", "probability": 0.9970703125}, {"start": 282.65, "end": 283.29, "word": " زائد", "probability": 0.91259765625}, {"start": 283.29, "end": 283.43, "word": " F", "probability": 0.97265625}, {"start": 283.43, "end": 283.59, "word": " of", "probability": 0.8935546875}, {"start": 283.59, "end": 283.77, "word": " Y", "probability": 0.994140625}, {"start": 283.77, "end": 284.05, "word": " وهذا", "probability": 0.772705078125}, {"start": 284.05, "end": 284.35, "word": " يعني", "probability": 0.9775390625}, {"start": 284.35, "end": 284.47, "word": " أن", "probability": 0.74267578125}, {"start": 284.47, "end": 284.73, "word": " F", "probability": 0.91162109375}, {"start": 284.73, "end": 285.43, "word": " أشماله", "probability": 0.7465087890625}, {"start": 285.43, "end": 285.99, "word": " is", "probability": 0.82275390625}, {"start": 285.99, "end": 286.17, "word": " a", "probability": 0.9521484375}, {"start": 286.17, "end": 286.51, "word": " linear", "probability": 0.90966796875}, {"start": 286.51, "end": 287.11, "word": " functional", "probability": 0.81298828125}, {"start": 287.11, "end": 287.47, "word": " لإنها", "probability": 0.85150146484375}, {"start": 287.47, "end": 288.05, "word": " بترمي", "probability": 0.9041748046875}, {"start": 288.05, "end": 288.25, "word": " في", "probability": 0.9638671875}, {"start": 288.25, "end": 288.39, "word": " الـ", "probability": 0.7900390625}, {"start": 288.39, "end": 288.53, "word": " R", "probability": 0.64306640625}, {"start": 288.53, "end": 288.71, "word": " زي", "probability": 0.853515625}, {"start": 288.71, "end": 288.77, "word": " ما", "probability": 0.98291015625}, {"start": 288.77, "end": 289.07, "word": " قلنا", "probability": 0.90576171875}], "temperature": 1.0}, {"id": 13, "seek": 31991, "start": 290.59, "end": 319.91, "text": "الأقل بدأ تبتلكم إنها إيه شمالها إنها bounded انتبهوا لهذه بس بدأ في شغل بنصلحها هن Hence, F is linear زي ما قولنا وفرقاني X بتساوي كساية واحد وكساية اتنين وكساية تلاتة عناصر مين اللي هرتكعين حسبون ال absolute value لل F of X ال absolute value لل F of X F of X إيش بتساوي X ضد مين انتبهوا هن بس عشان في هنا بس شغلة بنعملها ال absolute value لل F of X بساوي ال absolute value لل X ضد مين ال إيه؟", "tokens": [6027, 10721, 4587, 1211, 47525, 10721, 6055, 3555, 2655, 23275, 2304, 36145, 11296, 11933, 1829, 3224, 13412, 2304, 6027, 11296, 36145, 11296, 37498, 16472, 2655, 3555, 3224, 14407, 46740, 24192, 4724, 3794, 47525, 10721, 8978, 13412, 17082, 1211, 44945, 36520, 5016, 11296, 8032, 1863, 22229, 11, 479, 307, 8213, 30767, 1829, 19446, 12174, 12610, 8315, 4032, 5172, 2288, 4587, 7649, 1829, 1783, 39894, 3794, 995, 45865, 9122, 3794, 995, 10632, 36764, 24401, 4032, 4117, 3794, 995, 10632, 1975, 2655, 1863, 9957, 4032, 4117, 3794, 995, 10632, 6055, 1211, 9307, 3660, 18871, 33546, 2288, 3714, 9957, 13672, 1829, 8032, 43500, 4117, 3615, 9957, 11331, 35457, 11536, 2423, 8236, 2158, 24976, 479, 295, 1783, 2423, 8236, 2158, 24976, 479, 295, 1783, 479, 295, 1783, 11933, 1829, 8592, 39894, 3794, 995, 45865, 1783, 48812, 3215, 3714, 9957, 16472, 2655, 3555, 3224, 14407, 8032, 1863, 4724, 3794, 6225, 8592, 7649, 8978, 34105, 4724, 3794, 13412, 17082, 37977, 44945, 25957, 1211, 11296, 2423, 8236, 2158, 24976, 479, 295, 1783, 4724, 3794, 995, 45865, 2423, 8236, 2158, 24976, 1783, 48812, 3215, 3714, 9957, 2423, 11933, 1829, 3224, 22807], "avg_logprob": -0.2841530181671101, "compression_ratio": 2.078231292517007, "no_speech_prob": 1.919269561767578e-05, "words": [{"start": 290.59, "end": 291.11, "word": "الأقل", "probability": 0.6861572265625}, {"start": 291.11, "end": 291.39, "word": " بدأ", "probability": 0.34033203125}, {"start": 291.39, "end": 291.89, "word": " تبتلكم", "probability": 0.72333984375}, {"start": 291.89, "end": 292.15, "word": " إنها", "probability": 0.466796875}, {"start": 292.15, "end": 292.29, "word": " إيه", "probability": 0.78173828125}, {"start": 292.29, "end": 292.87, "word": " شمالها", "probability": 0.884765625}, {"start": 292.87, "end": 293.43, "word": " إنها", "probability": 0.759765625}, {"start": 293.43, "end": 293.83, "word": " bounded", "probability": 0.77490234375}, {"start": 293.83, "end": 294.39, "word": " انتبهوا", "probability": 0.86923828125}, {"start": 294.39, "end": 294.67, "word": " لهذه", "probability": 0.85400390625}, {"start": 294.67, "end": 294.87, "word": " بس", "probability": 0.89599609375}, {"start": 294.87, "end": 295.11, "word": " بدأ", "probability": 0.5423583984375}, {"start": 295.11, "end": 295.25, "word": " في", "probability": 0.66357421875}, {"start": 295.25, "end": 295.49, "word": " شغل", "probability": 0.8693033854166666}, {"start": 295.49, "end": 296.19, "word": " بنصلحها", "probability": 0.71014404296875}, {"start": 296.19, "end": 296.37, "word": " هن", "probability": 0.5228271484375}, {"start": 296.37, "end": 297.05, "word": " Hence,", "probability": 0.284423828125}, {"start": 297.15, "end": 297.29, "word": " F", "probability": 0.6435546875}, {"start": 297.29, "end": 297.53, "word": " is", "probability": 0.8994140625}, {"start": 297.53, "end": 297.77, "word": " linear", "probability": 0.75244140625}, {"start": 297.77, "end": 297.97, "word": " زي", "probability": 0.881103515625}, {"start": 297.97, "end": 298.03, "word": " ما", "probability": 0.98291015625}, {"start": 298.03, "end": 298.31, "word": " قولنا", "probability": 0.8258463541666666}, {"start": 298.31, "end": 298.83, "word": " وفرقاني", "probability": 0.6684163411458334}, {"start": 298.83, "end": 299.05, "word": " X", "probability": 0.833984375}, {"start": 299.05, "end": 299.51, "word": " بتساوي", "probability": 0.855224609375}, {"start": 299.51, "end": 299.81, "word": " كساية", "probability": 0.427947998046875}, {"start": 299.81, "end": 300.03, "word": " واحد", "probability": 0.86181640625}, {"start": 300.03, "end": 300.27, "word": " وكساية", "probability": 0.77314453125}, {"start": 300.27, "end": 300.49, "word": " اتنين", "probability": 0.895751953125}, {"start": 300.49, "end": 300.71, "word": " وكساية", "probability": 0.95703125}, {"start": 300.71, "end": 300.99, "word": " تلاتة", "probability": 0.7860107421875}, {"start": 300.99, "end": 301.41, "word": " عناصر", "probability": 0.9763997395833334}, {"start": 301.41, "end": 301.69, "word": " مين", "probability": 0.777099609375}, {"start": 301.69, "end": 301.93, "word": " اللي", "probability": 0.539825439453125}, {"start": 301.93, "end": 302.55, "word": " هرتكعين", "probability": 0.75654296875}, {"start": 302.55, "end": 304.23, "word": " حسبون", "probability": 0.7001953125}, {"start": 304.23, "end": 304.33, "word": " ال", "probability": 0.9052734375}, {"start": 304.33, "end": 304.63, "word": " absolute", "probability": 0.70703125}, {"start": 304.63, "end": 304.95, "word": " value", "probability": 0.9892578125}, {"start": 304.95, "end": 305.11, "word": " لل", "probability": 0.341064453125}, {"start": 305.11, "end": 305.23, "word": " F", "probability": 0.7666015625}, {"start": 305.23, "end": 305.41, "word": " of", "probability": 0.77392578125}, {"start": 305.41, "end": 305.67, "word": " X", "probability": 0.99365234375}, {"start": 305.67, "end": 306.17, "word": " ال", "probability": 0.70263671875}, {"start": 306.17, "end": 306.45, "word": " absolute", "probability": 0.921875}, {"start": 306.45, "end": 306.83, "word": " value", "probability": 0.9921875}, {"start": 306.83, "end": 306.95, "word": " لل", "probability": 0.765625}, {"start": 306.95, "end": 307.11, "word": " F", "probability": 0.9453125}, {"start": 307.11, "end": 307.25, "word": " of", "probability": 0.9619140625}, {"start": 307.25, "end": 307.39, "word": " X", "probability": 0.998046875}, {"start": 307.39, "end": 307.53, "word": " F", "probability": 0.54638671875}, {"start": 307.53, "end": 307.67, "word": " of", "probability": 0.97216796875}, {"start": 307.67, "end": 307.83, "word": " X", "probability": 0.99658203125}, {"start": 307.83, "end": 307.99, "word": " إيش", "probability": 0.716552734375}, {"start": 307.99, "end": 308.59, "word": " بتساوي", "probability": 0.9642333984375}, {"start": 308.59, "end": 309.55, "word": " X", "probability": 0.78125}, {"start": 309.55, "end": 310.13, "word": " ضد", "probability": 0.7392578125}, {"start": 310.13, "end": 310.69, "word": " مين", "probability": 0.963134765625}, {"start": 310.69, "end": 311.57, "word": " انتبهوا", "probability": 0.8814453125}, {"start": 311.57, "end": 311.63, "word": " هن", "probability": 0.76171875}, {"start": 311.63, "end": 311.81, "word": " بس", "probability": 0.803466796875}, {"start": 311.81, "end": 312.03, "word": " عشان", "probability": 0.9811197916666666}, {"start": 312.03, "end": 312.17, "word": " في", "probability": 0.7138671875}, {"start": 312.17, "end": 312.31, "word": " هنا", "probability": 0.407958984375}, {"start": 312.31, "end": 312.63, "word": " بس", "probability": 0.7147216796875}, {"start": 312.63, "end": 313.27, "word": " شغلة", "probability": 0.8141276041666666}, {"start": 313.27, "end": 313.73, "word": " بنعملها", "probability": 0.8651123046875}, {"start": 313.73, "end": 314.13, "word": " ال", "probability": 0.966796875}, {"start": 314.13, "end": 314.47, "word": " absolute", "probability": 0.96484375}, {"start": 314.47, "end": 315.01, "word": " value", "probability": 0.98828125}, {"start": 315.01, "end": 315.19, "word": " لل", "probability": 0.923828125}, {"start": 315.19, "end": 315.41, "word": " F", "probability": 0.95556640625}, {"start": 315.41, "end": 315.59, "word": " of", "probability": 0.96875}, {"start": 315.59, "end": 315.91, "word": " X", "probability": 0.998046875}, {"start": 315.91, "end": 317.07, "word": " بساوي", "probability": 0.802978515625}, {"start": 317.07, "end": 317.19, "word": " ال", "probability": 0.9716796875}, {"start": 317.19, "end": 317.47, "word": " absolute", "probability": 0.96435546875}, {"start": 317.47, "end": 317.85, "word": " value", "probability": 0.98876953125}, {"start": 317.85, "end": 317.97, "word": " لل", "probability": 0.79833984375}, {"start": 317.97, "end": 318.15, "word": " X", "probability": 0.96728515625}, {"start": 318.15, "end": 318.43, "word": " ضد", "probability": 0.987060546875}, {"start": 318.43, "end": 318.85, "word": " مين", "probability": 0.97998046875}, {"start": 318.85, "end": 319.55, "word": " ال", "probability": 0.7109375}, {"start": 319.55, "end": 319.91, "word": " إيه؟", "probability": 0.8310546875}], "temperature": 1.0}, {"id": 14, "seek": 33935, "start": 320.45, "end": 339.35, "text": "معاها؟ لو فرضنا الـ A هي عبارة عن Alpha 1 Alpha 2 Alpha 3 معاها؟ و X زي ما فرضناها عبارة عن XI 1 XI 2 XI 3 dot product بساوة اللي هو ال dot product لا mean ال absolute value لا", "tokens": [2304, 3615, 995, 11296, 22807, 45164, 6156, 43042, 8315, 2423, 39184, 316, 39896, 6225, 3555, 9640, 3660, 18871, 20588, 502, 20588, 568, 20588, 805, 20449, 995, 11296, 22807, 4032, 1783, 30767, 1829, 19446, 6156, 43042, 8315, 11296, 6225, 3555, 9640, 3660, 18871, 1783, 40, 502, 1783, 40, 568, 1783, 40, 805, 5893, 1674, 4724, 3794, 995, 2407, 3660, 13672, 1829, 31439, 2423, 5893, 1674, 20193, 914, 2423, 8236, 2158, 20193], "avg_logprob": -0.22953344482771107, "compression_ratio": 1.5123456790123457, "no_speech_prob": 0.00021123886108398438, "words": [{"start": 320.45, "end": 321.07, "word": "معاها؟", "probability": 0.742578125}, {"start": 321.07, "end": 321.39, "word": " لو", "probability": 0.92919921875}, {"start": 321.39, "end": 321.81, "word": " فرضنا", "probability": 0.9861653645833334}, {"start": 321.81, "end": 322.01, "word": " الـ", "probability": 0.568603515625}, {"start": 322.01, "end": 322.05, "word": " A", "probability": 0.45068359375}, {"start": 322.05, "end": 322.27, "word": " هي", "probability": 0.7783203125}, {"start": 322.27, "end": 322.65, "word": " عبارة", "probability": 0.996337890625}, {"start": 322.65, "end": 323.01, "word": " عن", "probability": 0.99267578125}, {"start": 323.01, "end": 323.67, "word": " Alpha", "probability": 0.3056640625}, {"start": 323.67, "end": 324.19, "word": " 1", "probability": 0.6728515625}, {"start": 324.19, "end": 325.57, "word": " Alpha", "probability": 0.75390625}, {"start": 325.57, "end": 326.11, "word": " 2", "probability": 0.96630859375}, {"start": 326.11, "end": 326.95, "word": " Alpha", "probability": 0.92529296875}, {"start": 326.95, "end": 327.45, "word": " 3", "probability": 0.97998046875}, {"start": 327.45, "end": 328.61, "word": " معاها؟", "probability": 0.8355712890625}, {"start": 328.61, "end": 328.93, "word": " و", "probability": 0.939453125}, {"start": 328.93, "end": 329.41, "word": " X", "probability": 0.939453125}, {"start": 329.41, "end": 329.77, "word": " زي", "probability": 0.979248046875}, {"start": 329.77, "end": 329.85, "word": " ما", "probability": 0.98193359375}, {"start": 329.85, "end": 330.31, "word": " فرضناها", "probability": 0.9788818359375}, {"start": 330.31, "end": 330.53, "word": " عبارة", "probability": 0.97802734375}, {"start": 330.53, "end": 330.67, "word": " عن", "probability": 0.9765625}, {"start": 330.67, "end": 330.97, "word": " XI", "probability": 0.541748046875}, {"start": 330.97, "end": 331.37, "word": " 1", "probability": 0.55859375}, {"start": 331.37, "end": 332.03, "word": " XI", "probability": 0.8134765625}, {"start": 332.03, "end": 332.49, "word": " 2", "probability": 0.875}, {"start": 332.49, "end": 333.29, "word": " XI", "probability": 0.96044921875}, {"start": 333.29, "end": 333.75, "word": " 3", "probability": 0.87841796875}, {"start": 333.75, "end": 334.47, "word": " dot", "probability": 0.09210205078125}, {"start": 334.47, "end": 334.91, "word": " product", "probability": 0.93896484375}, {"start": 334.91, "end": 335.61, "word": " بساوة", "probability": 0.74326171875}, {"start": 335.61, "end": 336.27, "word": " اللي", "probability": 0.954345703125}, {"start": 336.27, "end": 336.47, "word": " هو", "probability": 0.98828125}, {"start": 336.47, "end": 336.61, "word": " ال", "probability": 0.68896484375}, {"start": 336.61, "end": 336.87, "word": " dot", "probability": 0.86376953125}, {"start": 336.87, "end": 337.43, "word": " product", "probability": 0.96484375}, {"start": 337.43, "end": 337.71, "word": " لا", "probability": 0.5068359375}, {"start": 337.71, "end": 338.17, "word": " mean", "probability": 0.82080078125}, {"start": 338.17, "end": 338.35, "word": " ال", "probability": 0.7783203125}, {"start": 338.35, "end": 338.67, "word": " absolute", "probability": 0.65283203125}, {"start": 338.67, "end": 339.21, "word": " value", "probability": 0.974609375}, {"start": 339.21, "end": 339.35, "word": " لا", "probability": 0.6162109375}], "temperature": 1.0}, {"id": 15, "seek": 36791, "start": 340.45, "end": 367.91, "text": "الـ Dot Alpha 1 X I 1 Alpha 1 X I 1 زاد Alpha 2 X I 2 زاد Alpha 3 X I 2 3 يعني بمعنى آخر هو عبارة عن بلغة الـ summation اللي عملها عبارة عن الـ absolute value للـ summation Alpha I X I I معايا يا جماعة I من واحد لمين لتلتة انتبهوا الآن هذا أصغر أو يساوي عشان تصلحوا اللي مكتوب هنا أصغر أو يساوي ال summation لل absolute value Alpha I", "tokens": [6027, 39184, 38753, 20588, 502, 1783, 286, 502, 20588, 502, 1783, 286, 502, 30767, 18513, 20588, 568, 1783, 286, 568, 30767, 18513, 20588, 805, 1783, 286, 568, 805, 37495, 22653, 4724, 2304, 3615, 1863, 7578, 19753, 34740, 31439, 6225, 3555, 9640, 3660, 18871, 4724, 1211, 17082, 3660, 2423, 39184, 28811, 13672, 1829, 6225, 42213, 11296, 6225, 3555, 9640, 3660, 18871, 2423, 39184, 8236, 2158, 24976, 39184, 28811, 20588, 286, 1783, 286, 286, 20449, 995, 25528, 35186, 10874, 15042, 27884, 286, 9154, 36764, 24401, 32767, 9957, 5296, 2655, 1211, 2655, 3660, 16472, 2655, 3555, 3224, 14407, 6024, 48506, 23758, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 6225, 8592, 7649, 6055, 36520, 5016, 14407, 13672, 1829, 3714, 4117, 2655, 37746, 34105, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 2423, 28811, 24976, 8236, 2158, 20588, 286], "avg_logprob": -0.17810234913359518, "compression_ratio": 1.8862745098039215, "no_speech_prob": 0.00013113021850585938, "words": [{"start": 340.45, "end": 340.79, "word": "الـ", "probability": 0.6380615234375}, {"start": 340.79, "end": 341.01, "word": " Dot", "probability": 0.249755859375}, {"start": 341.01, "end": 341.37, "word": " Alpha", "probability": 0.200439453125}, {"start": 341.37, "end": 341.75, "word": " 1", "probability": 0.69384765625}, {"start": 341.75, "end": 341.91, "word": " X", "probability": 0.498291015625}, {"start": 341.91, "end": 342.09, "word": " I", "probability": 0.7431640625}, {"start": 342.09, "end": 342.43, "word": " 1", "probability": 0.69140625}, {"start": 342.43, "end": 343.19, "word": " Alpha", "probability": 0.8056640625}, {"start": 343.19, "end": 343.61, "word": " 1", "probability": 0.96484375}, {"start": 343.61, "end": 343.85, "word": " X", "probability": 0.97509765625}, {"start": 343.85, "end": 344.07, "word": " I", "probability": 0.95068359375}, {"start": 344.07, "end": 344.41, "word": " 1", "probability": 0.95947265625}, {"start": 344.41, "end": 344.99, "word": " زاد", "probability": 0.3575439453125}, {"start": 344.99, "end": 345.21, "word": " Alpha", "probability": 0.95263671875}, {"start": 345.21, "end": 345.75, "word": " 2", "probability": 0.98779296875}, {"start": 345.75, "end": 346.21, "word": " X", "probability": 0.9619140625}, {"start": 346.21, "end": 346.41, "word": " I", "probability": 0.9228515625}, {"start": 346.41, "end": 346.65, "word": " 2", "probability": 0.892578125}, {"start": 346.65, "end": 346.93, "word": " زاد", "probability": 0.94677734375}, {"start": 346.93, "end": 347.15, "word": " Alpha", "probability": 0.9892578125}, {"start": 347.15, "end": 347.67, "word": " 3", "probability": 0.9833984375}, {"start": 347.67, "end": 348.35, "word": " X", "probability": 0.994140625}, {"start": 348.35, "end": 348.55, "word": " I", "probability": 0.96533203125}, {"start": 348.55, "end": 349.01, "word": " 2", "probability": 0.91796875}, {"start": 349.01, "end": 349.37, "word": " 3", "probability": 0.45654296875}, {"start": 349.37, "end": 349.83, "word": " يعني", "probability": 0.869384765625}, {"start": 349.83, "end": 350.09, "word": " بمعنى", "probability": 0.9705078125}, {"start": 350.09, "end": 350.35, "word": " آخ��", "probability": 0.725341796875}, {"start": 350.35, "end": 350.51, "word": " هو", "probability": 0.60498046875}, {"start": 350.51, "end": 350.85, "word": " عبارة", "probability": 0.981201171875}, {"start": 350.85, "end": 351.09, "word": " عن", "probability": 0.9931640625}, {"start": 351.09, "end": 351.61, "word": " بلغة", "probability": 0.8955078125}, {"start": 351.61, "end": 351.79, "word": " الـ", "probability": 0.797119140625}, {"start": 351.79, "end": 352.05, "word": " summation", "probability": 0.27001953125}, {"start": 352.05, "end": 352.21, "word": " اللي", "probability": 0.974365234375}, {"start": 352.21, "end": 352.65, "word": " عملها", "probability": 0.9479166666666666}, {"start": 352.65, "end": 353.43, "word": " عبارة", "probability": 0.9945068359375}, {"start": 353.43, "end": 353.57, "word": " عن", "probability": 0.962890625}, {"start": 353.57, "end": 353.67, "word": " الـ", "probability": 0.619384765625}, {"start": 353.67, "end": 353.95, "word": " absolute", "probability": 0.483154296875}, {"start": 353.95, "end": 354.27, "word": " value", "probability": 0.97705078125}, {"start": 354.27, "end": 354.53, "word": " للـ", "probability": 0.5982666015625}, {"start": 354.53, "end": 354.93, "word": " summation", "probability": 0.7724609375}, {"start": 354.93, "end": 355.31, "word": " Alpha", "probability": 0.970703125}, {"start": 355.31, "end": 355.87, "word": " I", "probability": 0.9462890625}, {"start": 355.87, "end": 356.53, "word": " X", "probability": 0.9619140625}, {"start": 356.53, "end": 356.91, "word": " I", "probability": 0.91796875}, {"start": 356.91, "end": 357.19, "word": " I", "probability": 0.96923828125}, {"start": 357.19, "end": 357.81, "word": " معايا", "probability": 0.8883463541666666}, {"start": 357.81, "end": 357.99, "word": " يا", "probability": 0.9853515625}, {"start": 357.99, "end": 358.47, "word": " جماعة", "probability": 0.9949544270833334}, {"start": 358.47, "end": 358.99, "word": " I", "probability": 0.9140625}, {"start": 358.99, "end": 359.17, "word": " من", "probability": 0.99072265625}, {"start": 359.17, "end": 359.47, "word": " واحد", "probability": 0.81298828125}, {"start": 359.47, "end": 360.03, "word": " لمين", "probability": 0.7021484375}, {"start": 360.03, "end": 360.73, "word": " لتلتة", "probability": 0.84892578125}, {"start": 360.73, "end": 361.23, "word": " انتبهوا", "probability": 0.91728515625}, {"start": 361.23, "end": 361.43, "word": " الآن", "probability": 0.823974609375}, {"start": 361.43, "end": 362.01, "word": " هذا", "probability": 0.9169921875}, {"start": 362.01, "end": 362.55, "word": " أصغر", "probability": 0.9847412109375}, {"start": 362.55, "end": 362.71, "word": " أو", "probability": 0.92431640625}, {"start": 362.71, "end": 363.33, "word": " يساوي", "probability": 0.9481201171875}, {"start": 363.33, "end": 363.75, "word": " عشان", "probability": 0.98095703125}, {"start": 363.75, "end": 364.13, "word": " تصلحوا", "probability": 0.8763427734375}, {"start": 364.13, "end": 364.25, "word": " اللي", "probability": 0.86572265625}, {"start": 364.25, "end": 364.61, "word": " مكتوب", "probability": 0.81365966796875}, {"start": 364.61, "end": 364.87, "word": " هنا", "probability": 0.9072265625}, {"start": 364.87, "end": 365.49, "word": " أصغر", "probability": 0.979736328125}, {"start": 365.49, "end": 365.57, "word": " أو", "probability": 0.94384765625}, {"start": 365.57, "end": 365.71, "word": " يساوي", "probability": 0.97119140625}, {"start": 365.71, "end": 365.83, "word": " ال", "probability": 0.8974609375}, {"start": 365.83, "end": 366.29, "word": " summation", "probability": 0.423583984375}, {"start": 366.29, "end": 366.57, "word": " لل", "probability": 0.9150390625}, {"start": 366.57, "end": 366.95, "word": " absolute", "probability": 0.53125}, {"start": 366.95, "end": 367.25, "word": " value", "probability": 0.98583984375}, {"start": 367.25, "end": 367.51, "word": " Alpha", "probability": 0.94921875}, {"start": 367.51, "end": 367.91, "word": " I", "probability": 0.99169921875}], "temperature": 1.0}, {"id": 16, "seek": 39388, "start": 368.46, "end": 393.88, "text": "في الـ absolute value of xi I I من عند واحد لمين لتلاتة وهذه بالكوششوارز in quality أصغر أو يساوي ال summation لل alpha I تربيع أص نص في ال summation لل xi I تربيع أص إياش أص نص، مظبوط؟ معايا؟ هذه مين هي؟ نور من الـA", "tokens": [41185, 2423, 39184, 8236, 2158, 295, 36800, 286, 286, 9154, 43242, 36764, 24401, 5296, 2304, 9957, 5296, 2655, 1211, 9307, 3660, 37037, 24192, 20666, 4117, 2407, 8592, 8592, 2407, 9640, 11622, 294, 3125, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 2423, 28811, 24976, 8961, 286, 6055, 2288, 21292, 3615, 5551, 9381, 8717, 9381, 8978, 2423, 28811, 24976, 36800, 286, 6055, 2288, 21292, 3615, 5551, 9381, 11933, 1829, 33599, 5551, 9381, 8717, 9381, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 20449, 995, 25528, 22807, 29538, 3714, 9957, 39896, 22807, 8717, 13063, 9154, 2423, 39184, 32], "avg_logprob": -0.33795102109614106, "compression_ratio": 1.5566037735849056, "no_speech_prob": 5.4836273193359375e-06, "words": [{"start": 368.46, "end": 368.68, "word": "في", "probability": 0.52880859375}, {"start": 368.68, "end": 368.8, "word": " الـ", "probability": 0.854248046875}, {"start": 368.8, "end": 369.14, "word": " absolute", "probability": 0.5068359375}, {"start": 369.14, "end": 369.44, "word": " value", "probability": 0.9873046875}, {"start": 369.44, "end": 369.58, "word": " of", "probability": 0.2327880859375}, {"start": 369.58, "end": 369.76, "word": " xi", "probability": 0.28369140625}, {"start": 369.76, "end": 370.08, "word": " I", "probability": 0.430419921875}, {"start": 370.08, "end": 370.56, "word": " I", "probability": 0.466796875}, {"start": 370.56, "end": 370.74, "word": " من", "probability": 0.96826171875}, {"start": 370.74, "end": 371.0, "word": " عند", "probability": 0.99267578125}, {"start": 371.0, "end": 371.62, "word": " واحد", "probability": 0.931884765625}, {"start": 371.62, "end": 372.58, "word": " لمين", "probability": 0.7176106770833334}, {"start": 372.58, "end": 373.6, "word": " لتلاتة", "probability": 0.71337890625}, {"start": 373.6, "end": 374.16, "word": " وهذه", "probability": 0.626220703125}, {"start": 374.16, "end": 376.04, "word": " بالكوششوارز", "probability": 0.6599884033203125}, {"start": 376.04, "end": 376.18, "word": " in", "probability": 0.292724609375}, {"start": 376.18, "end": 376.68, "word": " quality", "probability": 0.876953125}, {"start": 376.68, "end": 377.52, "word": " أصغر", "probability": 0.8917236328125}, {"start": 377.52, "end": 377.66, "word": " أو", "probability": 0.876953125}, {"start": 377.66, "end": 378.22, "word": " يساوي", "probability": 0.940673828125}, {"start": 378.22, "end": 379.24, "word": " ال", "probability": 0.421875}, {"start": 379.24, "end": 379.76, "word": " summation", "probability": 0.771484375}, {"start": 379.76, "end": 380.52, "word": " لل", "probability": 0.82275390625}, {"start": 380.52, "end": 381.06, "word": " alpha", "probability": 0.400146484375}, {"start": 381.06, "end": 381.86, "word": " I", "probability": 0.91064453125}, {"start": 381.86, "end": 382.7, "word": " تربيع", "probability": 0.90576171875}, {"start": 382.7, "end": 382.98, "word": " أص", "probability": 0.812744140625}, {"start": 382.98, "end": 383.5, "word": " نص", "probability": 0.97607421875}, {"start": 383.5, "end": 384.22, "word": " في", "probability": 0.87841796875}, {"start": 384.22, "end": 384.36, "word": " ال", "probability": 0.9384765625}, {"start": 384.36, "end": 384.88, "word": " summation", "probability": 0.94140625}, {"start": 384.88, "end": 385.54, "word": " لل", "probability": 0.74169921875}, {"start": 385.54, "end": 386.06, "word": " xi", "probability": 0.88037109375}, {"start": 386.06, "end": 386.6, "word": " I", "probability": 0.916015625}, {"start": 386.6, "end": 387.64, "word": " تربيع", "probability": 0.97265625}, {"start": 387.64, "end": 387.9, "word": " أص", "probability": 0.78466796875}, {"start": 387.9, "end": 388.46, "word": " إياش", "probability": 0.6868489583333334}, {"start": 388.46, "end": 389.0, "word": " أص", "probability": 0.968017578125}, {"start": 389.0, "end": 389.76, "word": " نص،", "probability": 0.82470703125}, {"start": 389.76, "end": 390.8, "word": " مظبوط؟", "probability": 0.8044840494791666}, {"start": 390.8, "end": 391.62, "word": " معايا؟", "probability": 0.839111328125}, {"start": 391.62, "end": 391.86, "word": " هذه", "probability": 0.5244140625}, {"start": 391.86, "end": 392.14, "word": " مين", "probability": 0.863037109375}, {"start": 392.14, "end": 393.18, "word": " هي؟", "probability": 0.846435546875}, {"start": 393.18, "end": 393.4, "word": " نور", "probability": 0.37872314453125}, {"start": 393.4, "end": 393.56, "word": " من", "probability": 0.71728515625}, {"start": 393.56, "end": 393.88, "word": " الـA", "probability": 0.4591878255208333}], "temperature": 1.0}, {"id": 17, "seek": 41087, "start": 395.73, "end": 410.87, "text": "لأن وين وين قاعد انا في الـ R تكعيب وهذا نور مين؟ نور من الـ X إذا صار عندي الآن absolute value ل F of X أصغر أو ساوي هذا المقدار بمعنى صار عندي ال absolute value ل F of X", "tokens": [1211, 33456, 4032, 9957, 4032, 9957, 12174, 995, 22488, 1975, 8315, 8978, 2423, 39184, 497, 6055, 4117, 3615, 1829, 3555, 37037, 15730, 8717, 13063, 3714, 9957, 22807, 8717, 13063, 9154, 2423, 39184, 1783, 11933, 15730, 20328, 9640, 18871, 16254, 6024, 48506, 8236, 2158, 5296, 479, 295, 1783, 5551, 9381, 17082, 2288, 34051, 8608, 995, 45865, 23758, 9673, 28543, 9640, 4724, 2304, 3615, 1863, 7578, 20328, 9640, 18871, 16254, 2423, 8236, 2158, 5296, 479, 295, 1783], "avg_logprob": -0.31969572760556875, "compression_ratio": 1.6625, "no_speech_prob": 2.473592758178711e-05, "words": [{"start": 395.73, "end": 396.07, "word": "لأن", "probability": 0.6796875}, {"start": 396.07, "end": 396.23, "word": " وين", "probability": 0.32330322265625}, {"start": 396.23, "end": 396.45, "word": " وين", "probability": 0.866455078125}, {"start": 396.45, "end": 396.79, "word": " قاعد", "probability": 0.82177734375}, {"start": 396.79, "end": 397.09, "word": " انا", "probability": 0.67529296875}, {"start": 397.09, "end": 397.23, "word": " في", "probability": 0.783203125}, {"start": 397.23, "end": 397.37, "word": " الـ", "probability": 0.63427734375}, {"start": 397.37, "end": 397.47, "word": " R", "probability": 0.379638671875}, {"start": 397.47, "end": 397.93, "word": " تكعيب", "probability": 0.79423828125}, {"start": 397.93, "end": 399.21, "word": " وهذا", "probability": 0.493408203125}, {"start": 399.21, "end": 399.47, "word": " نور", "probability": 0.49298095703125}, {"start": 399.47, "end": 400.05, "word": " مين؟", "probability": 0.53857421875}, {"start": 400.05, "end": 400.39, "word": " نور", "probability": 0.9150390625}, {"start": 400.39, "end": 400.51, "word": " من", "probability": 0.470703125}, {"start": 400.51, "end": 400.67, "word": " الـ", "probability": 0.742919921875}, {"start": 400.67, "end": 400.91, "word": " X", "probability": 0.78125}, {"start": 400.91, "end": 401.53, "word": " إذا", "probability": 0.791015625}, {"start": 401.53, "end": 401.91, "word": " صار", "probability": 0.93994140625}, {"start": 401.91, "end": 402.27, "word": " عندي", "probability": 0.6744384765625}, {"start": 402.27, "end": 402.87, "word": " الآن", "probability": 0.718994140625}, {"start": 402.87, "end": 403.77, "word": " absolute", "probability": 0.66748046875}, {"start": 403.77, "end": 404.29, "word": " value", "probability": 0.99267578125}, {"start": 404.29, "end": 404.37, "word": " ل", "probability": 0.62890625}, {"start": 404.37, "end": 404.55, "word": " F", "probability": 0.421875}, {"start": 404.55, "end": 404.71, "word": " of", "probability": 0.41796875}, {"start": 404.71, "end": 404.93, "word": " X", "probability": 0.99267578125}, {"start": 404.93, "end": 405.31, "word": " أصغر", "probability": 0.985107421875}, {"start": 405.31, "end": 405.41, "word": " أو", "probability": 0.5556640625}, {"start": 405.41, "end": 405.71, "word": " ساوي", "probability": 0.8214518229166666}, {"start": 405.71, "end": 405.91, "word": " هذا", "probability": 0.90234375}, {"start": 405.91, "end": 406.55, "word": " المقدار", "probability": 0.94287109375}, {"start": 406.55, "end": 407.85, "word": " بمعنى", "probability": 0.96806640625}, {"start": 407.85, "end": 408.45, "word": " صار", "probability": 0.95849609375}, {"start": 408.45, "end": 408.73, "word": " عندي", "probability": 0.8408203125}, {"start": 408.73, "end": 408.83, "word": " ال", "probability": 0.689453125}, {"start": 408.83, "end": 409.25, "word": " absolute", "probability": 0.70849609375}, {"start": 409.25, "end": 409.93, "word": " value", "probability": 0.990234375}, {"start": 409.93, "end": 410.07, "word": " ل", "probability": 0.70703125}, {"start": 410.07, "end": 410.33, "word": " F", "probability": 0.81787109375}, {"start": 410.33, "end": 410.53, "word": " of", "probability": 0.95654296875}, {"start": 410.53, "end": 410.87, "word": " X", "probability": 0.9970703125}], "temperature": 1.0}, {"id": 18, "seek": 43278, "start": 411.54, "end": 432.78, "text": "أصغر أو يساوي C في نورم الـ X الـ C إيش بيساوي نورم الـ A معايا؟ الآن لاحظوا .. لاحظوا .. خليني أكملكم هنا لاحظوا الـ absolute value of F of X على نورم الـ X اللي هو أصغر أو يساوي نورمين الـ A", "tokens": [10721, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 383, 8978, 8717, 13063, 2304, 2423, 39184, 1783, 2423, 39184, 383, 11933, 1829, 8592, 4724, 1829, 3794, 995, 45865, 8717, 13063, 2304, 2423, 39184, 316, 20449, 995, 25528, 22807, 6024, 48506, 5296, 39319, 19913, 14407, 4386, 5296, 39319, 19913, 14407, 4386, 16490, 1211, 9957, 1829, 5551, 24793, 23275, 2304, 34105, 5296, 39319, 19913, 14407, 2423, 39184, 8236, 2158, 295, 479, 295, 1783, 15844, 8717, 13063, 2304, 2423, 39184, 1783, 13672, 1829, 31439, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 8717, 13063, 2304, 9957, 2423, 39184, 316], "avg_logprob": -0.2096619847781804, "compression_ratio": 1.782857142857143, "no_speech_prob": 3.4868717193603516e-05, "words": [{"start": 411.54, "end": 412.2, "word": "أصغر", "probability": 0.9384765625}, {"start": 412.2, "end": 412.38, "word": " أو", "probability": 0.89990234375}, {"start": 412.38, "end": 412.94, "word": " يساوي", "probability": 0.952392578125}, {"start": 412.94, "end": 413.42, "word": " C", "probability": 0.47509765625}, {"start": 413.42, "end": 414.4, "word": " في", "probability": 0.8173828125}, {"start": 414.4, "end": 415.14, "word": " نورم", "probability": 0.6825358072916666}, {"start": 415.14, "end": 415.34, "word": " الـ", "probability": 0.666259765625}, {"start": 415.34, "end": 415.54, "word": " X", "probability": 0.66943359375}, {"start": 415.54, "end": 415.86, "word": " الـ", "probability": 0.6944580078125}, {"start": 415.86, "end": 416.02, "word": " C", "probability": 0.8525390625}, {"start": 416.02, "end": 416.22, "word": " إيش", "probability": 0.692138671875}, {"start": 416.22, "end": 416.74, "word": " بيساوي", "probability": 0.9216796875}, {"start": 416.74, "end": 417.9, "word": " نورم", "probability": 0.8212890625}, {"start": 417.9, "end": 418.12, "word": " الـ", "probability": 0.73876953125}, {"start": 418.12, "end": 418.22, "word": " A", "probability": 0.88525390625}, {"start": 418.22, "end": 419.6, "word": " معايا؟", "probability": 0.8319091796875}, {"start": 419.6, "end": 420.16, "word": " الآن", "probability": 0.6561279296875}, {"start": 420.16, "end": 421.06, "word": " لاحظوا", "probability": 0.79388427734375}, {"start": 421.06, "end": 421.28, "word": " ..", "probability": 0.556640625}, {"start": 421.28, "end": 421.8, "word": " لاحظوا", "probability": 0.9266357421875}, {"start": 421.8, "end": 421.88, "word": " ..", "probability": 0.438720703125}, {"start": 421.88, "end": 422.14, "word": " خليني", "probability": 0.80010986328125}, {"start": 422.14, "end": 422.6, "word": " أكملكم", "probability": 0.9490966796875}, {"start": 422.6, "end": 422.84, "word": " هنا", "probability": 0.484619140625}, {"start": 422.84, "end": 423.8, "word": " لاحظوا", "probability": 0.9451904296875}, {"start": 423.8, "end": 424.16, "word": " الـ", "probability": 0.7012939453125}, {"start": 424.16, "end": 424.46, "word": " absolute", "probability": 0.52001953125}, {"start": 424.46, "end": 424.86, "word": " value", "probability": 0.9912109375}, {"start": 424.86, "end": 425.0, "word": " of", "probability": 0.72021484375}, {"start": 425.0, "end": 425.16, "word": " F", "probability": 0.55615234375}, {"start": 425.16, "end": 425.32, "word": " of", "probability": 0.5810546875}, {"start": 425.32, "end": 425.72, "word": " X", "probability": 0.9931640625}, {"start": 425.72, "end": 426.68, "word": " على", "probability": 0.796875}, {"start": 426.68, "end": 427.22, "word": " نورم", "probability": 0.9720052083333334}, {"start": 427.22, "end": 427.44, "word": " الـ", "probability": 0.82177734375}, {"start": 427.44, "end": 427.78, "word": " X", "probability": 0.97412109375}, {"start": 427.78, "end": 429.82, "word": " اللي", "probability": 0.922607421875}, {"start": 429.82, "end": 429.96, "word": " هو", "probability": 0.97802734375}, {"start": 429.96, "end": 430.38, "word": " أصغر", "probability": 0.9932861328125}, {"start": 430.38, "end": 430.56, "word": " أو", "probability": 0.9697265625}, {"start": 430.56, "end": 430.98, "word": " يساوي", "probability": 0.97412109375}, {"start": 430.98, "end": 431.84, "word": " نورمين", "probability": 0.78399658203125}, {"start": 431.84, "end": 432.64, "word": " الـ", "probability": 0.9208984375}, {"start": 432.64, "end": 432.78, "word": " A", "probability": 0.9638671875}], "temperature": 1.0}, {"id": 19, "seek": 46076, "start": 433.72, "end": 460.76, "text": "لأ الأدات التعريف الان الان هذه صارت upper bound لهذا هذا X لاتشهر شفر طبعا خدوا ال supremum عليها بيصير اللي هو ال supremum هو عبارة عن normal F أصغر أو شو مين normal A واضح؟ إذا طلع عندي الان normal F أصغر أو شو مين normal A بدي أجيب اللي هو العكس normal A أصغر أو شو مين normal F هذا الأسلوب اللي بدي أجيبه الآن هو سلوب اختيار نقطة", "tokens": [1211, 10721, 16247, 3215, 9307, 16712, 3615, 16572, 5172, 2423, 7649, 2423, 7649, 29538, 20328, 9640, 2655, 6597, 5472, 46740, 15730, 23758, 1783, 5296, 9307, 8592, 3224, 2288, 13412, 5172, 2288, 23032, 3555, 3615, 995, 16490, 3215, 14407, 2423, 23710, 449, 25894, 11296, 4724, 1829, 9381, 13546, 13672, 1829, 31439, 2423, 23710, 449, 31439, 6225, 3555, 9640, 3660, 18871, 2710, 479, 5551, 9381, 17082, 2288, 34051, 13412, 2407, 3714, 9957, 2710, 316, 4032, 46958, 5016, 22807, 11933, 15730, 23032, 1211, 3615, 18871, 16254, 2423, 7649, 2710, 479, 5551, 9381, 17082, 2288, 34051, 13412, 2407, 3714, 9957, 2710, 316, 4724, 16254, 5551, 7435, 1829, 3555, 13672, 1829, 31439, 18863, 4117, 3794, 2710, 316, 5551, 9381, 17082, 2288, 34051, 13412, 2407, 3714, 9957, 2710, 479, 23758, 16247, 3794, 1211, 37746, 13672, 1829, 4724, 16254, 5551, 7435, 1829, 3555, 3224, 6024, 48506, 31439, 8608, 1211, 37746, 1975, 9778, 31371, 9640, 8717, 47432, 3660], "avg_logprob": -0.21336920904797435, "compression_ratio": 2.0583657587548636, "no_speech_prob": 2.849102020263672e-05, "words": [{"start": 433.72, "end": 434.12, "word": "لأ", "probability": 0.765625}, {"start": 434.12, "end": 434.44, "word": " الأدات", "probability": 0.65576171875}, {"start": 434.44, "end": 434.94, "word": " التعريف", "probability": 0.9786376953125}, {"start": 434.94, "end": 435.84, "word": " الان", "probability": 0.50347900390625}, {"start": 435.84, "end": 436.44, "word": " الان", "probability": 0.621337890625}, {"start": 436.44, "end": 437.14, "word": " هذه", "probability": 0.303466796875}, {"start": 437.14, "end": 437.48, "word": " صارت", "probability": 0.92529296875}, {"start": 437.48, "end": 437.66, "word": " upper", "probability": 0.751953125}, {"start": 437.66, "end": 437.98, "word": " bound", "probability": 0.82568359375}, {"start": 437.98, "end": 438.46, "word": " لهذا", "probability": 0.940673828125}, {"start": 438.46, "end": 439.34, "word": " هذا", "probability": 0.53076171875}, {"start": 439.34, "end": 439.58, "word": " X", "probability": 0.48681640625}, {"start": 439.58, "end": 439.84, "word": " لاتشهر", "probability": 0.487939453125}, {"start": 439.84, "end": 440.08, "word": " شفر", "probability": 0.8014322916666666}, {"start": 440.08, "end": 440.28, "word": " طبعا", "probability": 0.97021484375}, {"start": 440.28, "end": 440.8, "word": " خدوا", "probability": 0.9147135416666666}, {"start": 440.8, "end": 440.84, "word": " ال", "probability": 0.74365234375}, {"start": 440.84, "end": 441.24, "word": " supremum", "probability": 0.5792236328125}, {"start": 441.24, "end": 441.5, "word": " عليها", "probability": 0.978515625}, {"start": 441.5, "end": 441.84, "word": " بيصير", "probability": 0.862060546875}, {"start": 441.84, "end": 441.96, "word": " اللي", "probability": 0.744873046875}, {"start": 441.96, "end": 442.12, "word": " هو", "probability": 0.98291015625}, {"start": 442.12, "end": 442.26, "word": " ال", "probability": 0.6748046875}, {"start": 442.26, "end": 442.72, "word": " supremum", "probability": 0.869873046875}, {"start": 442.72, "end": 442.9, "word": " هو", "probability": 0.77978515625}, {"start": 442.9, "end": 443.22, "word": " عبارة", "probability": 0.991943359375}, {"start": 443.22, "end": 443.44, "word": " عن", "probability": 0.955078125}, {"start": 443.44, "end": 443.92, "word": " normal", "probability": 0.61669921875}, {"start": 443.92, "end": 444.42, "word": " F", "probability": 0.77880859375}, {"start": 444.42, "end": 445.72, "word": " أصغر", "probability": 0.9591064453125}, {"start": 445.72, "end": 445.84, "word": " أو", "probability": 0.80517578125}, {"start": 445.84, "end": 446.06, "word": " شو", "probability": 0.762939453125}, {"start": 446.06, "end": 446.56, "word": " مين", "probability": 0.73828125}, {"start": 446.56, "end": 447.52, "word": " normal", "probability": 0.460693359375}, {"start": 447.52, "end": 447.72, "word": " A", "probability": 0.83642578125}, {"start": 447.72, "end": 448.62, "word": " واضح؟", "probability": 0.69024658203125}, {"start": 448.62, "end": 448.9, "word": " إذا", "probability": 0.77978515625}, {"start": 448.9, "end": 449.44, "word": " طلع", "probability": 0.9724934895833334}, {"start": 449.44, "end": 449.78, "word": " عندي", "probability": 0.8193359375}, {"start": 449.78, "end": 450.1, "word": " الان", "probability": 0.52606201171875}, {"start": 450.1, "end": 450.6, "word": " normal", "probability": 0.82568359375}, {"start": 450.6, "end": 451.04, "word": " F", "probability": 0.98974609375}, {"start": 451.04, "end": 451.88, "word": " أصغر", "probability": 0.9879150390625}, {"start": 451.88, "end": 452.02, "word": " أو", "probability": 0.97216796875}, {"start": 452.02, "end": 452.2, "word": " شو", "probability": 0.9794921875}, {"start": 452.2, "end": 452.28, "word": " مين", "probability": 0.6417236328125}, {"start": 452.28, "end": 452.54, "word": " normal", "probability": 0.8369140625}, {"start": 452.54, "end": 452.68, "word": " A", "probability": 0.96826171875}, {"start": 452.68, "end": 453.3, "word": " بدي", "probability": 0.7078857421875}, {"start": 453.3, "end": 453.74, "word": " أجيب", "probability": 0.9764404296875}, {"start": 453.74, "end": 453.86, "word": " اللي", "probability": 0.989501953125}, {"start": 453.86, "end": 454.02, "word": " هو", "probability": 0.986328125}, {"start": 454.02, "end": 454.4, "word": " العكس", "probability": 0.9934895833333334}, {"start": 454.4, "end": 454.74, "word": " normal", "probability": 0.84716796875}, {"start": 454.74, "end": 455.0, "word": " A", "probability": 0.974609375}, {"start": 455.0, "end": 455.28, "word": " أصغر", "probability": 0.9912109375}, {"start": 455.28, "end": 455.38, "word": " أو", "probability": 0.62158203125}, {"start": 455.38, "end": 455.48, "word": " شو", "probability": 0.986083984375}, {"start": 455.48, "end": 455.66, "word": " مين", "probability": 0.99658203125}, {"start": 455.66, "end": 456.02, "word": " normal", "probability": 0.759765625}, {"start": 456.02, "end": 456.32, "word": " F", "probability": 0.984375}, {"start": 456.32, "end": 456.96, "word": " هذا", "probability": 0.90771484375}, {"start": 456.96, "end": 457.68, "word": " الأسلوب", "probability": 0.9439697265625}, {"start": 457.68, "end": 457.88, "word": " اللي", "probability": 0.984375}, {"start": 457.88, "end": 458.04, "word": " بدي", "probability": 0.88671875}, {"start": 458.04, "end": 458.36, "word": " أجيبه", "probability": 0.98134765625}, {"start": 458.36, "end": 458.68, "word": " الآن", "probability": 0.66015625}, {"start": 458.68, "end": 459.18, "word": " هو", "probability": 0.98486328125}, {"start": 459.18, "end": 459.62, "word": " سلوب", "probability": 0.75}, {"start": 459.62, "end": 460.14, "word": " اختيار", "probability": 0.867919921875}, {"start": 460.14, "end": 460.76, "word": " نقطة", "probability": 0.9850260416666666}], "temperature": 1.0}, {"id": 20, "seek": 46921, "start": 461.83, "end": 469.21, "text": "نقطة مناسبة تجيب ليها هتلاقوها في هذا المثال وفي المثال اللي بعده وإلى آخره نفس الأسلوب انتبهوا الآن عندي", "tokens": [1863, 47432, 3660, 3714, 8315, 35457, 3660, 6055, 7435, 1829, 3555, 32239, 11296, 8032, 2655, 15040, 4587, 2407, 11296, 8978, 23758, 9673, 12984, 6027, 4032, 41185, 9673, 12984, 6027, 13672, 1829, 39182, 3224, 4032, 28814, 23942, 19753, 34740, 3224, 8717, 36178, 16247, 3794, 1211, 37746, 16472, 2655, 3555, 3224, 14407, 6024, 48506, 18871, 16254], "avg_logprob": -0.19275567802515897, "compression_ratio": 1.5238095238095237, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 461.83000000000004, "end": 462.47, "word": "نقطة", "probability": 0.91796875}, {"start": 462.47, "end": 463.11, "word": " مناسبة", "probability": 0.960693359375}, {"start": 463.11, "end": 463.39, "word": " تجيب", "probability": 0.976806640625}, {"start": 463.39, "end": 463.83, "word": " ليها", "probability": 0.702880859375}, {"start": 463.83, "end": 464.65, "word": " هتلاقوها", "probability": 0.717041015625}, {"start": 464.65, "end": 464.81, "word": " في", "probability": 0.9375}, {"start": 464.81, "end": 465.03, "word": " هذا", "probability": 0.90576171875}, {"start": 465.03, "end": 465.89, "word": " المثال", "probability": 0.9309895833333334}, {"start": 465.89, "end": 466.03, "word": " وفي", "probability": 0.71484375}, {"start": 466.03, "end": 466.33, "word": " المثال", "probability": 0.9832356770833334}, {"start": 466.33, "end": 466.43, "word": " اللي", "probability": 0.69873046875}, {"start": 466.43, "end": 466.75, "word": " بعده", "probability": 0.862060546875}, {"start": 466.75, "end": 466.95, "word": " وإلى", "probability": 0.80029296875}, {"start": 466.95, "end": 467.37, "word": " آخره", "probability": 0.89697265625}, {"start": 467.37, "end": 467.91, "word": " نفس", "probability": 0.98974609375}, {"start": 467.91, "end": 468.33, "word": " الأسلوب", "probability": 0.8631591796875}, {"start": 468.33, "end": 468.75, "word": " انتبهوا", "probability": 0.91103515625}, {"start": 468.75, "end": 468.93, "word": " الآن", "probability": 0.733154296875}, {"start": 468.93, "end": 469.21, "word": " عندي", "probability": 0.5244140625}], "temperature": 1.0}, {"id": 21, "seek": 49133, "start": 472.11, "end": 491.33, "text": "صارت عندي نورم ال F أصغر تساوي نورم ال A however نورم ال F بتساوي زي ما قلنا ال suprem of absolute value of F of X على نورم ال X X element in X و X تساوي سفر الآن اللي بدي أجيب أنا اللي هو ال absolute value of F of X أنا بعرفها عبارة عن X dot mean ال A ماشي", "tokens": [9381, 9640, 2655, 18871, 16254, 8717, 13063, 2304, 2423, 479, 5551, 9381, 17082, 2288, 6055, 3794, 995, 45865, 8717, 13063, 2304, 2423, 316, 4461, 8717, 13063, 2304, 2423, 479, 39894, 3794, 995, 45865, 30767, 1829, 19446, 12174, 1211, 8315, 2423, 23710, 295, 8236, 2158, 295, 479, 295, 1783, 15844, 8717, 13063, 2304, 2423, 1783, 1783, 4478, 294, 1783, 4032, 1783, 6055, 3794, 995, 45865, 8608, 5172, 2288, 6024, 48506, 13672, 1829, 4724, 16254, 5551, 7435, 1829, 3555, 41850, 13672, 1829, 31439, 2423, 8236, 2158, 295, 479, 295, 1783, 41850, 45030, 28480, 11296, 6225, 3555, 9640, 3660, 18871, 1783, 5893, 914, 2423, 316, 3714, 33599, 1829], "avg_logprob": -0.3154481202363968, "compression_ratio": 1.7641509433962264, "no_speech_prob": 0.00010561943054199219, "words": [{"start": 472.11, "end": 472.55, "word": "صارت", "probability": 0.5122884114583334}, {"start": 472.55, "end": 472.79, "word": " عندي", "probability": 0.60821533203125}, {"start": 472.79, "end": 473.07, "word": " نورم", "probability": 0.6157633463541666}, {"start": 473.07, "end": 473.17, "word": " ال", "probability": 0.611328125}, {"start": 473.17, "end": 473.29, "word": " F", "probability": 0.4375}, {"start": 473.29, "end": 473.55, "word": " أصغر", "probability": 0.951904296875}, {"start": 473.55, "end": 473.77, "word": " تساوي", "probability": 0.67791748046875}, {"start": 473.77, "end": 473.99, "word": " نورم", "probability": 0.9181315104166666}, {"start": 473.99, "end": 474.11, "word": " ال", "probability": 0.8056640625}, {"start": 474.11, "end": 474.21, "word": " A", "probability": 0.900390625}, {"start": 474.21, "end": 474.95, "word": " however", "probability": 0.2445068359375}, {"start": 474.95, "end": 476.39, "word": " نورم", "probability": 0.8318684895833334}, {"start": 476.39, "end": 476.51, "word": " ال", "probability": 0.77880859375}, {"start": 476.51, "end": 476.75, "word": " F", "probability": 0.98046875}, {"start": 476.75, "end": 477.21, "word": " بتساوي", "probability": 0.81695556640625}, {"start": 477.21, "end": 477.35, "word": " زي", "probability": 0.536865234375}, {"start": 477.35, "end": 477.43, "word": " ما", "probability": 0.9814453125}, {"start": 477.43, "end": 477.67, "word": " قلنا", "probability": 0.8746744791666666}, {"start": 477.67, "end": 477.79, "word": " ال", "probability": 0.2420654296875}, {"start": 477.79, "end": 478.05, "word": " suprem", "probability": 0.59228515625}, {"start": 478.05, "end": 478.25, "word": " of", "probability": 0.5}, {"start": 478.25, "end": 478.59, "word": " absolute", "probability": 0.6845703125}, {"start": 478.59, "end": 478.87, "word": " value", "probability": 0.9658203125}, {"start": 478.87, "end": 478.97, "word": " of", "probability": 0.91015625}, {"start": 478.97, "end": 479.07, "word": " F", "probability": 0.282958984375}, {"start": 479.07, "end": 479.17, "word": " of", "probability": 0.787109375}, {"start": 479.17, "end": 479.31, "word": " X", "probability": 0.94677734375}, {"start": 479.31, "end": 479.47, "word": " على", "probability": 0.53759765625}, {"start": 479.47, "end": 479.77, "word": " نورم", "probability": 0.9685872395833334}, {"start": 479.77, "end": 479.87, "word": " ال", "probability": 0.7021484375}, {"start": 479.87, "end": 480.05, "word": " X", "probability": 0.9833984375}, {"start": 480.05, "end": 480.63, "word": " X", "probability": 0.53076171875}, {"start": 480.63, "end": 480.91, "word": " element", "probability": 0.40380859375}, {"start": 480.91, "end": 481.07, "word": " in", "probability": 0.415771484375}, {"start": 481.07, "end": 481.21, "word": " X", "probability": 0.9892578125}, {"start": 481.21, "end": 481.35, "word": " و", "probability": 0.89599609375}, {"start": 481.35, "end": 481.43, "word": " X", "probability": 0.90771484375}, {"start": 481.43, "end": 481.79, "word": " تساوي", "probability": 0.80584716796875}, {"start": 481.79, "end": 482.13, "word": " سفر", "probability": 0.8160807291666666}, {"start": 482.13, "end": 483.27, "word": " الآن", "probability": 0.608642578125}, {"start": 483.27, "end": 484.27, "word": " اللي", "probability": 0.92822265625}, {"start": 484.27, "end": 484.61, "word": " بدي", "probability": 0.59429931640625}, {"start": 484.61, "end": 485.13, "word": " أجيب", "probability": 0.9622802734375}, {"start": 485.13, "end": 485.49, "word": " أنا", "probability": 0.68115234375}, {"start": 485.49, "end": 485.77, "word": " اللي", "probability": 0.983642578125}, {"start": 485.77, "end": 486.07, "word": " هو", "probability": 0.98681640625}, {"start": 486.07, "end": 486.47, "word": " ال", "probability": 0.339599609375}, {"start": 486.47, "end": 486.73, "word": " absolute", "probability": 0.93505859375}, {"start": 486.73, "end": 487.05, "word": " value", "probability": 0.98876953125}, {"start": 487.05, "end": 487.17, "word": " of", "probability": 0.89892578125}, {"start": 487.17, "end": 487.27, "word": " F", "probability": 0.9248046875}, {"start": 487.27, "end": 487.39, "word": " of", "probability": 0.9619140625}, {"start": 487.39, "end": 487.55, "word": " X", "probability": 0.9931640625}, {"start": 487.55, "end": 487.71, "word": " أنا", "probability": 0.74853515625}, {"start": 487.71, "end": 488.15, "word": " بعرفها", "probability": 0.9552408854166666}, {"start": 488.15, "end": 488.41, "word": " عبارة", "probability": 0.9901123046875}, {"start": 488.41, "end": 488.61, "word": " عن", "probability": 0.98681640625}, {"start": 488.61, "end": 488.95, "word": " X", "probability": 0.91943359375}, {"start": 488.95, "end": 489.19, "word": " dot", "probability": 0.626953125}, {"start": 489.19, "end": 489.65, "word": " mean", "probability": 0.50537109375}, {"start": 489.65, "end": 490.43, "word": " ال", "probability": 0.79345703125}, {"start": 490.43, "end": 490.65, "word": " A", "probability": 0.9462890625}, {"start": 490.65, "end": 491.33, "word": " ماشي", "probability": 0.8899739583333334}], "temperature": 1.0}, {"id": 22, "seek": 50972, "start": 492.24, "end": 509.72, "text": "هذه هذه absolute value of x dot a و normal x هي normal x بدي اختار اللي هو انا قيمة معينة عشان اللي هي احصل بس ال a لو اخدت ال absolute value هذا اكيد ال supremum اكبر او يساوي عند اي قيمة من القيم", "tokens": [3224, 24192, 29538, 8236, 2158, 295, 2031, 5893, 257, 4032, 2710, 2031, 39896, 2710, 2031, 4724, 16254, 1975, 46456, 9640, 13672, 1829, 31439, 1975, 8315, 12174, 32640, 3660, 20449, 9957, 3660, 6225, 8592, 7649, 13672, 1829, 39896, 1975, 5016, 36520, 4724, 3794, 2423, 257, 45164, 1975, 9778, 3215, 2655, 2423, 8236, 2158, 23758, 1975, 4117, 25708, 2423, 23710, 449, 1975, 4117, 26890, 1975, 2407, 7251, 3794, 995, 45865, 43242, 1975, 1829, 12174, 32640, 3660, 9154, 25062, 32640], "avg_logprob": -0.2866586515536675, "compression_ratio": 1.68, "no_speech_prob": 1.9252300262451172e-05, "words": [{"start": 492.24, "end": 492.72, "word": "هذه", "probability": 0.5828857421875}, {"start": 492.72, "end": 493.02, "word": " هذه", "probability": 0.152587890625}, {"start": 493.02, "end": 493.48, "word": " absolute", "probability": 0.317626953125}, {"start": 493.48, "end": 493.78, "word": " value", "probability": 0.98291015625}, {"start": 493.78, "end": 493.9, "word": " of", "probability": 0.70263671875}, {"start": 493.9, "end": 494.16, "word": " x", "probability": 0.365966796875}, {"start": 494.16, "end": 494.52, "word": " dot", "probability": 0.2064208984375}, {"start": 494.52, "end": 494.84, "word": " a", "probability": 0.8134765625}, {"start": 494.84, "end": 495.76, "word": " و", "probability": 0.395263671875}, {"start": 495.76, "end": 496.04, "word": " normal", "probability": 0.29443359375}, {"start": 496.04, "end": 496.24, "word": " x", "probability": 0.88134765625}, {"start": 496.24, "end": 496.4, "word": " هي", "probability": 0.95458984375}, {"start": 496.4, "end": 496.7, "word": " normal", "probability": 0.75244140625}, {"start": 496.7, "end": 496.9, "word": " x", "probability": 0.88671875}, {"start": 496.9, "end": 497.14, "word": " بدي", "probability": 0.39923095703125}, {"start": 497.14, "end": 497.62, "word": " اختار", "probability": 0.9208984375}, {"start": 497.62, "end": 497.82, "word": " اللي", "probability": 0.705322265625}, {"start": 497.82, "end": 498.02, "word": " هو", "probability": 0.93408203125}, {"start": 498.02, "end": 498.34, "word": " انا", "probability": 0.6834716796875}, {"start": 498.34, "end": 498.94, "word": " قيمة", "probability": 0.96484375}, {"start": 498.94, "end": 499.42, "word": " معينة", "probability": 0.8317057291666666}, {"start": 499.42, "end": 500.24, "word": " عشان", "probability": 0.9298502604166666}, {"start": 500.24, "end": 500.52, "word": " اللي", "probability": 0.95947265625}, {"start": 500.52, "end": 500.72, "word": " هي", "probability": 0.873046875}, {"start": 500.72, "end": 501.2, "word": " احصل", "probability": 0.89794921875}, {"start": 501.2, "end": 501.48, "word": " بس", "probability": 0.9296875}, {"start": 501.48, "end": 501.68, "word": " ال", "probability": 0.62841796875}, {"start": 501.68, "end": 501.84, "word": " a", "probability": 0.50048828125}, {"start": 501.84, "end": 502.5, "word": " لو", "probability": 0.82861328125}, {"start": 502.5, "end": 502.96, "word": " اخدت", "probability": 0.801025390625}, {"start": 502.96, "end": 503.08, "word": " ال", "probability": 0.78076171875}, {"start": 503.08, "end": 503.5, "word": " absolute", "probability": 0.974609375}, {"start": 503.5, "end": 504.24, "word": " value", "probability": 0.99560546875}, {"start": 504.24, "end": 504.58, "word": " هذا", "probability": 0.30029296875}, {"start": 504.58, "end": 505.56, "word": " اكيد", "probability": 0.8624674479166666}, {"start": 505.56, "end": 505.68, "word": " ال", "probability": 0.77392578125}, {"start": 505.68, "end": 506.38, "word": " supremum", "probability": 0.773681640625}, {"start": 506.38, "end": 507.02, "word": " اكبر", "probability": 0.87109375}, {"start": 507.02, "end": 507.22, "word": " او", "probability": 0.9365234375}, {"start": 507.22, "end": 507.78, "word": " يساوي", "probability": 0.9361572265625}, {"start": 507.78, "end": 508.44, "word": " عند", "probability": 0.98681640625}, {"start": 508.44, "end": 508.76, "word": " اي", "probability": 0.87060546875}, {"start": 508.76, "end": 509.22, "word": " قيمة", "probability": 0.9900716145833334}, {"start": 509.22, "end": 509.34, "word": " من", "probability": 0.99609375}, {"start": 509.34, "end": 509.72, "word": " القيم", "probability": 0.94580078125}], "temperature": 1.0}, {"id": 23, "seek": 53915, "start": 510.45, "end": 539.15, "text": "ممضمنها عند مين؟ عند الـ A إذا أكبر أوي يسوى absolute value of F of A على norm الـ A absolute value of F of A إيش هو؟ نعرفه مسبقًا A Dot A A Dot A هو عبارة عن norm الـ A تربية absolute value له على norm الـ A بطلع norm الـ A إذا حصلت norm الـ F أكبر أوي يسوى norm الـ A باختياري للنقطة المعينة اللي هي الـ A عسى أحصل عن quality هذه وصار عند norm الـ F من التلتين بسوى norm الـ A", "tokens": [2304, 2304, 11242, 2304, 1863, 11296, 43242, 3714, 9957, 22807, 43242, 2423, 39184, 316, 11933, 15730, 5551, 4117, 26890, 34051, 1829, 7251, 3794, 2407, 7578, 8236, 2158, 295, 479, 295, 316, 15844, 2026, 2423, 39184, 316, 8236, 2158, 295, 479, 295, 316, 11933, 1829, 8592, 31439, 22807, 8717, 3615, 28480, 3224, 3714, 35457, 4587, 14111, 995, 316, 38753, 316, 316, 38753, 316, 31439, 6225, 3555, 9640, 3660, 18871, 2026, 2423, 39184, 316, 6055, 25513, 10632, 8236, 2158, 46740, 15844, 2026, 2423, 39184, 316, 4724, 9566, 1211, 3615, 2026, 2423, 39184, 316, 11933, 15730, 11331, 36520, 2655, 2026, 2423, 39184, 479, 5551, 4117, 26890, 34051, 1829, 7251, 3794, 2407, 7578, 2026, 2423, 39184, 316, 4724, 47283, 31371, 9640, 1829, 24976, 1863, 47432, 3660, 9673, 3615, 9957, 3660, 13672, 1829, 39896, 2423, 39184, 316, 6225, 3794, 7578, 5551, 5016, 36520, 18871, 3125, 29538, 4032, 9381, 9640, 43242, 2026, 2423, 39184, 479, 9154, 16712, 1211, 2655, 9957, 4724, 3794, 2407, 7578, 2026, 2423, 39184, 316], "avg_logprob": -0.24118097483014767, "compression_ratio": 2.093632958801498, "no_speech_prob": 3.904104232788086e-05, "words": [{"start": 510.45, "end": 510.95, "word": "ممضمنها", "probability": 0.6216227213541666}, {"start": 510.95, "end": 511.19, "word": " عند", "probability": 0.97021484375}, {"start": 511.19, "end": 511.71, "word": " مين؟", "probability": 0.6033935546875}, {"start": 511.71, "end": 511.97, "word": " عند", "probability": 0.95849609375}, {"start": 511.97, "end": 512.17, "word": " الـ", "probability": 0.826904296875}, {"start": 512.17, "end": 512.27, "word": " A", "probability": 0.41015625}, {"start": 512.27, "end": 512.49, "word": " إذا", "probability": 0.627685546875}, {"start": 512.49, "end": 512.87, "word": " أكبر", "probability": 0.9327799479166666}, {"start": 512.87, "end": 512.99, "word": " أوي", "probability": 0.8740234375}, {"start": 512.99, "end": 513.21, "word": " يسوى", "probability": 0.6082763671875}, {"start": 513.21, "end": 513.55, "word": " absolute", "probability": 0.301025390625}, {"start": 513.55, "end": 513.81, "word": " value", "probability": 0.97412109375}, {"start": 513.81, "end": 513.91, "word": " of", "probability": 0.3232421875}, {"start": 513.91, "end": 514.03, "word": " F", "probability": 0.3125}, {"start": 514.03, "end": 514.19, "word": " of", "probability": 0.6103515625}, {"start": 514.19, "end": 514.35, "word": " A", "probability": 0.9580078125}, {"start": 514.35, "end": 514.83, "word": " على", "probability": 0.47509765625}, {"start": 514.83, "end": 515.09, "word": " norm", "probability": 0.60791015625}, {"start": 515.09, "end": 515.27, "word": " الـ", "probability": 0.6195068359375}, {"start": 515.27, "end": 515.39, "word": " A", "probability": 0.85888671875}, {"start": 515.39, "end": 516.01, "word": " absolute", "probability": 0.642578125}, {"start": 516.01, "end": 516.31, "word": " value", "probability": 0.98681640625}, {"start": 516.31, "end": 516.43, "word": " of", "probability": 0.72900390625}, {"start": 516.43, "end": 516.59, "word": " F", "probability": 0.9462890625}, {"start": 516.59, "end": 516.75, "word": " of", "probability": 0.96142578125}, {"start": 516.75, "end": 516.89, "word": " A", "probability": 0.9794921875}, {"start": 516.89, "end": 517.01, "word": " إيش", "probability": 0.6783040364583334}, {"start": 517.01, "end": 517.37, "word": " هو؟", "probability": 0.7327880859375}, {"start": 517.37, "end": 517.75, "word": " نعرفه", "probability": 0.838134765625}, {"start": 517.75, "end": 518.31, "word": " مسبقًا", "probability": 0.832470703125}, {"start": 518.31, "end": 518.55, "word": " A", "probability": 0.50048828125}, {"start": 518.55, "end": 518.77, "word": " Dot", "probability": 0.25732421875}, {"start": 518.77, "end": 519.11, "word": " A", "probability": 0.9755859375}, {"start": 519.11, "end": 519.69, "word": " A", "probability": 0.50048828125}, {"start": 519.69, "end": 519.89, "word": " Dot", "probability": 0.96533203125}, {"start": 519.89, "end": 520.05, "word": " A", "probability": 0.994140625}, {"start": 520.05, "end": 520.21, "word": " هو", "probability": 0.97265625}, {"start": 520.21, "end": 520.47, "word": " عبارة", "probability": 0.9940185546875}, {"start": 520.47, "end": 520.65, "word": " عن", "probability": 0.95947265625}, {"start": 520.65, "end": 520.93, "word": " norm", "probability": 0.71533203125}, {"start": 520.93, "end": 521.11, "word": " الـ", "probability": 0.788818359375}, {"start": 521.11, "end": 521.17, "word": " A", "probability": 0.88232421875}, {"start": 521.17, "end": 521.67, "word": " تربية", "probability": 0.8160807291666666}, {"start": 521.67, "end": 522.23, "word": " absolute", "probability": 0.7431640625}, {"start": 522.23, "end": 522.55, "word": " value", "probability": 0.98876953125}, {"start": 522.55, "end": 522.81, "word": " له", "probability": 0.52978515625}, {"start": 522.81, "end": 523.49, "word": " على", "probability": 0.84716796875}, {"start": 523.49, "end": 523.83, "word": " norm", "probability": 0.8955078125}, {"start": 523.83, "end": 524.03, "word": " الـ", "probability": 0.9404296875}, {"start": 524.03, "end": 524.21, "word": " A", "probability": 0.9091796875}, {"start": 524.21, "end": 524.83, "word": " بطلع", "probability": 0.79986572265625}, {"start": 524.83, "end": 525.19, "word": " norm", "probability": 0.8330078125}, {"start": 525.19, "end": 525.35, "word": " الـ", "probability": 0.979736328125}, {"start": 525.35, "end": 525.47, "word": " A", "probability": 0.9296875}, {"start": 525.47, "end": 525.93, "word": " إذا", "probability": 0.9873046875}, {"start": 525.93, "end": 526.47, "word": " حصلت", "probability": 0.9430338541666666}, {"start": 526.47, "end": 526.71, "word": " norm", "probability": 0.90478515625}, {"start": 526.71, "end": 526.91, "word": " الـ", "probability": 0.618896484375}, {"start": 526.91, "end": 527.13, "word": " F", "probability": 0.97802734375}, {"start": 527.13, "end": 528.03, "word": " أكبر", "probability": 0.982421875}, {"start": 528.03, "end": 528.27, "word": " أوي", "probability": 0.928955078125}, {"start": 528.27, "end": 528.55, "word": " يسوى", "probability": 0.898193359375}, {"start": 528.55, "end": 528.79, "word": " norm", "probability": 0.86865234375}, {"start": 528.79, "end": 528.97, "word": " الـ", "probability": 0.97119140625}, {"start": 528.97, "end": 529.05, "word": " A", "probability": 0.94189453125}, {"start": 529.05, "end": 530.19, "word": " باختياري", "probability": 0.98134765625}, {"start": 530.19, "end": 531.01, "word": " للنقطة", "probability": 0.902587890625}, {"start": 531.01, "end": 531.93, "word": " المعينة", "probability": 0.976318359375}, {"start": 531.93, "end": 532.31, "word": " اللي", "probability": 0.961181640625}, {"start": 532.31, "end": 532.51, "word": " هي", "probability": 0.94091796875}, {"start": 532.51, "end": 532.79, "word": " الـ", "probability": 0.982421875}, {"start": 532.79, "end": 532.95, "word": " A", "probability": 0.947265625}, {"start": 532.95, "end": 533.53, "word": " عسى", "probability": 0.7263997395833334}, {"start": 533.53, "end": 534.73, "word": " أحصل", "probability": 0.88330078125}, {"start": 534.73, "end": 534.87, "word": " عن", "probability": 0.83642578125}, {"start": 534.87, "end": 535.23, "word": " quality", "probability": 0.2529296875}, {"start": 535.23, "end": 535.59, "word": " هذه", "probability": 0.5703125}, {"start": 535.59, "end": 536.29, "word": " وصار", "probability": 0.9143880208333334}, {"start": 536.29, "end": 536.47, "word": " عند", "probability": 0.9775390625}, {"start": 536.47, "end": 536.75, "word": " norm", "probability": 0.71533203125}, {"start": 536.75, "end": 536.93, "word": " الـ", "probability": 0.70361328125}, {"start": 536.93, "end": 537.07, "word": " F", "probability": 0.98681640625}, {"start": 537.07, "end": 537.29, "word": " من", "probability": 0.98095703125}, {"start": 537.29, "end": 537.81, "word": " التلتين", "probability": 0.9095458984375}, {"start": 537.81, "end": 538.13, "word": " بسوى", "probability": 0.66864013671875}, {"start": 538.13, "end": 538.47, "word": " norm", "probability": 0.9443359375}, {"start": 538.47, "end": 539.01, "word": " الـ", "probability": 0.981689453125}, {"start": 539.01, "end": 539.15, "word": " A", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 24, "seek": 54201, "start": 539.73, "end": 542.01, "text": "اللي بعده يالا", "tokens": [6027, 20292, 39182, 3224, 7251, 6027, 995], "avg_logprob": -0.4299316368997097, "compression_ratio": 0.7878787878787878, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 539.73, "end": 540.67, "word": "اللي", "probability": 0.758544921875}, {"start": 540.67, "end": 541.19, "word": " بعده", "probability": 0.960693359375}, {"start": 541.19, "end": 542.01, "word": " يالا", "probability": 0.5508219401041666}], "temperature": 1.0}, {"id": 25, "seek": 57126, "start": 543.98, "end": 571.26, "text": "خلصنا الدبطة البردكتية ديفينيت انتيجرال الان اللي جاب في السؤال اللي جابه كنا نرمي .. حطينا kernel جوه ال integration عشان يطلع function في T ضال function of two variables واحدة بنكملها والتانية بتبقى حرة هي اللي بتخليني .. بضل اللي ناتج continuous function برمي في ال continuous فصار من norm of this space ل norm of this space هنا الآن لأ بدي أحسب A", "tokens": [9778, 1211, 9381, 8315, 32748, 3555, 9566, 3660, 2423, 26890, 3215, 4117, 2655, 10632, 11778, 1829, 5172, 9957, 36081, 16472, 31371, 7435, 2288, 6027, 2423, 7649, 13672, 1829, 10874, 16758, 8978, 21136, 33604, 6027, 13672, 1829, 10874, 16758, 3224, 9122, 8315, 8717, 2288, 2304, 1829, 4386, 11331, 9566, 1829, 8315, 28256, 10874, 2407, 3224, 2423, 10980, 6225, 8592, 7649, 7251, 9566, 1211, 3615, 2445, 8978, 314, 48812, 6027, 2445, 295, 732, 9102, 36764, 24401, 3660, 44945, 24793, 1211, 11296, 16070, 2655, 7649, 10632, 39894, 3555, 4587, 7578, 11331, 25720, 39896, 13672, 1829, 39894, 9778, 1211, 9957, 1829, 4386, 4724, 11242, 1211, 13672, 1829, 8717, 9307, 7435, 10957, 2445, 4724, 2288, 2304, 1829, 8978, 2423, 10957, 6156, 9381, 9640, 9154, 2026, 295, 341, 1901, 5296, 2026, 295, 341, 1901, 34105, 6024, 48506, 5296, 10721, 4724, 16254, 5551, 5016, 35457, 316], "avg_logprob": -0.3712053441575595, "compression_ratio": 1.761744966442953, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 543.98, "end": 544.6, "word": "خلصنا", "probability": 0.886474609375}, {"start": 544.6, "end": 545.06, "word": " الدبطة", "probability": 0.483489990234375}, {"start": 545.06, "end": 545.56, "word": " البردكتية", "probability": 0.6699015299479166}, {"start": 545.56, "end": 546.36, "word": " ديفينيت", "probability": 0.45673828125}, {"start": 546.36, "end": 547.18, "word": " انتيج��ال", "probability": 0.876953125}, {"start": 547.18, "end": 549.62, "word": " الان", "probability": 0.5814208984375}, {"start": 549.62, "end": 550.28, "word": " اللي", "probability": 0.5908203125}, {"start": 550.28, "end": 550.52, "word": " جاب", "probability": 0.93212890625}, {"start": 550.52, "end": 551.24, "word": " في", "probability": 0.309814453125}, {"start": 551.24, "end": 551.74, "word": " السؤال", "probability": 0.9661458333333334}, {"start": 551.74, "end": 551.94, "word": " اللي", "probability": 0.94091796875}, {"start": 551.94, "end": 552.24, "word": " جابه", "probability": 0.7425944010416666}, {"start": 552.24, "end": 552.58, "word": " كنا", "probability": 0.623779296875}, {"start": 552.58, "end": 553.92, "word": " نرمي", "probability": 0.8350830078125}, {"start": 553.92, "end": 554.08, "word": " ..", "probability": 0.2281494140625}, {"start": 554.08, "end": 554.92, "word": " حطينا", "probability": 0.9219970703125}, {"start": 554.92, "end": 555.32, "word": " kernel", "probability": 0.689453125}, {"start": 555.32, "end": 555.72, "word": " جوه", "probability": 0.6844075520833334}, {"start": 555.72, "end": 555.8, "word": " ال", "probability": 0.8837890625}, {"start": 555.8, "end": 556.22, "word": " integration", "probability": 0.90234375}, {"start": 556.22, "end": 556.98, "word": " عشان", "probability": 0.95068359375}, {"start": 556.98, "end": 557.24, "word": " يطلع", "probability": 0.826416015625}, {"start": 557.24, "end": 557.74, "word": " function", "probability": 0.53955078125}, {"start": 557.74, "end": 557.96, "word": " في", "probability": 0.8427734375}, {"start": 557.96, "end": 558.16, "word": " T", "probability": 0.306396484375}, {"start": 558.16, "end": 558.44, "word": " ضال", "probability": 0.5863037109375}, {"start": 558.44, "end": 559.26, "word": " function", "probability": 0.440185546875}, {"start": 559.26, "end": 559.46, "word": " of", "probability": 0.94970703125}, {"start": 559.46, "end": 559.58, "word": " two", "probability": 0.9140625}, {"start": 559.58, "end": 560.08, "word": " variables", "probability": 0.95458984375}, {"start": 560.08, "end": 560.72, "word": " واحدة", "probability": 0.9054361979166666}, {"start": 560.72, "end": 561.44, "word": " بنكملها", "probability": 0.889404296875}, {"start": 561.44, "end": 562.08, "word": " والتانية", "probability": 0.78656005859375}, {"start": 562.08, "end": 562.36, "word": " بتبقى", "probability": 0.75921630859375}, {"start": 562.36, "end": 562.74, "word": " حرة", "probability": 0.796142578125}, {"start": 562.74, "end": 562.9, "word": " هي", "probability": 0.73974609375}, {"start": 562.9, "end": 563.04, "word": " اللي", "probability": 0.94921875}, {"start": 563.04, "end": 563.8, "word": " بتخليني", "probability": 0.651953125}, {"start": 563.8, "end": 564.18, "word": " ..", "probability": 0.422119140625}, {"start": 564.18, "end": 564.6, "word": " بضل", "probability": 0.6346028645833334}, {"start": 564.6, "end": 564.86, "word": " اللي", "probability": 0.6107177734375}, {"start": 564.86, "end": 565.32, "word": " ناتج", "probability": 0.9049479166666666}, {"start": 565.32, "end": 565.72, "word": " continuous", "probability": 0.8828125}, {"start": 565.72, "end": 566.16, "word": " function", "probability": 0.96875}, {"start": 566.16, "end": 566.48, "word": " برمي", "probability": 0.7984619140625}, {"start": 566.48, "end": 566.58, "word": " في", "probability": 0.841796875}, {"start": 566.58, "end": 566.68, "word": " ال", "probability": 0.90234375}, {"start": 566.68, "end": 567.04, "word": " continuous", "probability": 0.8291015625}, {"start": 567.04, "end": 567.44, "word": " فصار", "probability": 0.94140625}, {"start": 567.44, "end": 567.6, "word": " من", "probability": 0.93994140625}, {"start": 567.6, "end": 567.92, "word": " norm", "probability": 0.29150390625}, {"start": 567.92, "end": 568.02, "word": " of", "probability": 0.49072265625}, {"start": 568.02, "end": 568.16, "word": " this", "probability": 0.6787109375}, {"start": 568.16, "end": 568.32, "word": " space", "probability": 0.52783203125}, {"start": 568.32, "end": 568.42, "word": " ل", "probability": 0.9384765625}, {"start": 568.42, "end": 568.58, "word": " norm", "probability": 0.568359375}, {"start": 568.58, "end": 568.7, "word": " of", "probability": 0.9814453125}, {"start": 568.7, "end": 568.84, "word": " this", "probability": 0.9287109375}, {"start": 568.84, "end": 569.18, "word": " space", "probability": 0.91552734375}, {"start": 569.18, "end": 569.94, "word": " هنا", "probability": 0.6787109375}, {"start": 569.94, "end": 570.24, "word": " الآن", "probability": 0.6148681640625}, {"start": 570.24, "end": 570.4, "word": " لأ", "probability": 0.88330078125}, {"start": 570.4, "end": 570.66, "word": " بدي", "probability": 0.5306396484375}, {"start": 570.66, "end": 570.98, "word": " أحسب", "probability": 0.8359375}, {"start": 570.98, "end": 571.26, "word": " A", "probability": 0.28466796875}], "temperature": 1.0}, {"id": 26, "seek": 59114, "start": 571.96, "end": 591.14, "text": "بدي أحسب اللي أخد الـ J من A إلى الـ B و الـ F من C من A و B إلى R دي defined by what؟ by F of X هي اللي هنا في الـ continuous functions بيساوي ال integration ال integration من A إلى B لل X of T DT يعني ماضلش إيش هتضل الرقم الرقم اللي هيطلع من هنا اللي هو ال field اللي هو ال vector space اللي عندي", "tokens": [3555, 16254, 5551, 5016, 35457, 13672, 1829, 5551, 9778, 3215, 2423, 39184, 508, 9154, 316, 30731, 2423, 39184, 363, 4032, 2423, 39184, 479, 9154, 383, 9154, 316, 4032, 363, 30731, 497, 11778, 1829, 7642, 538, 437, 22807, 538, 479, 295, 1783, 39896, 13672, 1829, 34105, 8978, 2423, 39184, 10957, 6828, 4724, 1829, 3794, 995, 45865, 2423, 10980, 2423, 10980, 9154, 316, 30731, 363, 24976, 1783, 295, 314, 413, 51, 37495, 22653, 19446, 11242, 1211, 8592, 11933, 1829, 8592, 8032, 2655, 11242, 1211, 34892, 4587, 2304, 34892, 4587, 2304, 13672, 1829, 39896, 9566, 1211, 3615, 9154, 34105, 13672, 1829, 31439, 2423, 2519, 13672, 1829, 31439, 2423, 8062, 1901, 13672, 1829, 18871, 16254], "avg_logprob": -0.28627232063029495, "compression_ratio": 1.7530364372469636, "no_speech_prob": 1.1324882507324219e-06, "words": [{"start": 571.96, "end": 572.34, "word": "بدي", "probability": 0.328369140625}, {"start": 572.34, "end": 572.64, "word": " أحسب", "probability": 0.8362630208333334}, {"start": 572.64, "end": 572.82, "word": " اللي", "probability": 0.86328125}, {"start": 572.82, "end": 573.1, "word": " أخد", "probability": 0.7918294270833334}, {"start": 573.1, "end": 573.26, "word": " الـ", "probability": 0.7861328125}, {"start": 573.26, "end": 573.4, "word": " J", "probability": 0.325927734375}, {"start": 573.4, "end": 573.6, "word": " من", "probability": 0.962890625}, {"start": 573.6, "end": 573.74, "word": " A", "probability": 0.8740234375}, {"start": 573.74, "end": 573.86, "word": " إلى", "probability": 0.55615234375}, {"start": 573.86, "end": 574.02, "word": " الـ", "probability": 0.7744140625}, {"start": 574.02, "end": 574.22, "word": " B", "probability": 0.73046875}, {"start": 574.22, "end": 574.74, "word": " و", "probability": 0.58642578125}, {"start": 574.74, "end": 574.86, "word": " الـ", "probability": 0.668701171875}, {"start": 574.86, "end": 575.02, "word": " F", "probability": 0.91650390625}, {"start": 575.02, "end": 575.18, "word": " من", "probability": 0.98046875}, {"start": 575.18, "end": 575.36, "word": " C", "probability": 0.9140625}, {"start": 575.36, "end": 575.48, "word": " من", "probability": 0.77392578125}, {"start": 575.48, "end": 575.62, "word": " A", "probability": 0.96484375}, {"start": 575.62, "end": 575.7, "word": " و", "probability": 0.66064453125}, {"start": 575.7, "end": 575.84, "word": " B", "probability": 0.7392578125}, {"start": 575.84, "end": 575.96, "word": " إلى", "probability": 0.6005859375}, {"start": 575.96, "end": 576.4, "word": " R", "probability": 0.5380859375}, {"start": 576.4, "end": 576.66, "word": " دي", "probability": 0.6434326171875}, {"start": 576.66, "end": 577.02, "word": " defined", "probability": 0.6025390625}, {"start": 577.02, "end": 577.26, "word": " by", "probability": 0.91845703125}, {"start": 577.26, "end": 578.12, "word": " what؟", "probability": 0.867431640625}, {"start": 578.12, "end": 578.36, "word": " by", "probability": 0.486572265625}, {"start": 578.36, "end": 578.66, "word": " F", "probability": 0.78759765625}, {"start": 578.66, "end": 578.82, "word": " of", "probability": 0.69873046875}, {"start": 578.82, "end": 579.02, "word": " X", "probability": 0.98681640625}, {"start": 579.02, "end": 579.18, "word": " هي", "probability": 0.57861328125}, {"start": 579.18, "end": 579.44, "word": " اللي", "probability": 0.919677734375}, {"start": 579.44, "end": 579.78, "word": " هنا", "probability": 0.95849609375}, {"start": 579.78, "end": 579.98, "word": " في", "probability": 0.767578125}, {"start": 579.98, "end": 580.08, "word": " الـ", "probability": 0.6644287109375}, {"start": 580.08, "end": 580.38, "word": " continuous", "probability": 0.278564453125}, {"start": 580.38, "end": 580.86, "word": " functions", "probability": 0.7919921875}, {"start": 580.86, "end": 581.52, "word": " بيساوي", "probability": 0.64033203125}, {"start": 581.52, "end": 581.64, "word": " ال", "probability": 0.986328125}, {"start": 581.64, "end": 582.08, "word": " integration", "probability": 0.80322265625}, {"start": 582.08, "end": 582.3, "word": " ال", "probability": 0.900390625}, {"start": 582.3, "end": 582.76, "word": " integration", "probability": 0.95458984375}, {"start": 582.76, "end": 582.98, "word": " من", "probability": 0.9833984375}, {"start": 582.98, "end": 583.12, "word": " A", "probability": 0.982421875}, {"start": 583.12, "end": 583.24, "word": " إلى", "probability": 0.8779296875}, {"start": 583.24, "end": 583.42, "word": " B", "probability": 0.99072265625}, {"start": 583.42, "end": 583.58, "word": " لل", "probability": 0.39599609375}, {"start": 583.58, "end": 583.74, "word": " X", "probability": 0.62060546875}, {"start": 583.74, "end": 583.9, "word": " of", "probability": 0.8779296875}, {"start": 583.9, "end": 584.08, "word": " T", "probability": 0.91259765625}, {"start": 584.08, "end": 584.38, "word": " DT", "probability": 0.61865234375}, {"start": 584.38, "end": 584.58, "word": " يعني", "probability": 0.953369140625}, {"start": 584.58, "end": 584.98, "word": " ماضلش", "probability": 0.7265625}, {"start": 584.98, "end": 585.12, "word": " إيش", "probability": 0.7931315104166666}, {"start": 585.12, "end": 585.44, "word": " هتضل", "probability": 0.649139404296875}, {"start": 585.44, "end": 585.98, "word": " الرقم", "probability": 0.9527994791666666}, {"start": 585.98, "end": 586.8, "word": " الرقم", "probability": 0.9132486979166666}, {"start": 586.8, "end": 586.88, "word": " اللي", "probability": 0.98193359375}, {"start": 586.88, "end": 587.28, "word": " هيطلع", "probability": 0.902587890625}, {"start": 587.28, "end": 587.4, "word": " من", "probability": 0.892578125}, {"start": 587.4, "end": 587.64, "word": " هنا", "probability": 0.324951171875}, {"start": 587.64, "end": 587.88, "word": " اللي", "probability": 0.926513671875}, {"start": 587.88, "end": 588.22, "word": " هو", "probability": 0.98388671875}, {"start": 588.22, "end": 588.76, "word": " ال", "probability": 0.8427734375}, {"start": 588.76, "end": 589.3, "word": " field", "probability": 0.9423828125}, {"start": 589.3, "end": 590.04, "word": " اللي", "probability": 0.691650390625}, {"start": 590.04, "end": 590.16, "word": " هو", "probability": 0.93359375}, {"start": 590.16, "end": 590.24, "word": " ال", "probability": 0.93994140625}, {"start": 590.24, "end": 590.4, "word": " vector", "probability": 0.900390625}, {"start": 590.4, "end": 590.72, "word": " space", "probability": 0.95703125}, {"start": 590.72, "end": 590.84, "word": " اللي", "probability": 0.99169921875}, {"start": 590.84, "end": 591.14, "word": " عندي", "probability": 0.849365234375}], "temperature": 1.0}, {"id": 27, "seek": 60292, "start": 591.67, "end": 602.93, "text": "then F is a bounded linear functional with norm ال F هيطلع لمين طول الفترة المذكورة ماشي شوفوا هل مثل المحلق", "tokens": [19096, 479, 307, 257, 37498, 8213, 11745, 365, 2026, 2423, 479, 39896, 9566, 1211, 3615, 32767, 9957, 23032, 12610, 27188, 2655, 25720, 9673, 8848, 4117, 13063, 3660, 3714, 33599, 1829, 13412, 38688, 14407, 8032, 1211, 50113, 1211, 9673, 5016, 1211, 4587], "avg_logprob": -0.26041668014866964, "compression_ratio": 1.2, "no_speech_prob": 1.2516975402832031e-06, "words": [{"start": 591.67, "end": 592.15, "word": "then", "probability": 0.36083984375}, {"start": 592.15, "end": 592.65, "word": " F", "probability": 0.46630859375}, {"start": 592.65, "end": 593.01, "word": " is", "probability": 0.9384765625}, {"start": 593.01, "end": 593.29, "word": " a", "probability": 0.6865234375}, {"start": 593.29, "end": 593.71, "word": " bounded", "probability": 0.966796875}, {"start": 593.71, "end": 594.15, "word": " linear", "probability": 0.90283203125}, {"start": 594.15, "end": 594.73, "word": " functional", "probability": 0.8447265625}, {"start": 594.73, "end": 595.19, "word": " with", "probability": 0.9287109375}, {"start": 595.19, "end": 595.91, "word": " norm", "probability": 0.794921875}, {"start": 595.91, "end": 596.13, "word": " ال", "probability": 0.321044921875}, {"start": 596.13, "end": 596.37, "word": " F", "probability": 0.748046875}, {"start": 596.37, "end": 596.89, "word": " هيطلع", "probability": 0.9132080078125}, {"start": 596.89, "end": 597.41, "word": " لمين", "probability": 0.852294921875}, {"start": 597.41, "end": 598.13, "word": " طول", "probability": 0.97412109375}, {"start": 598.13, "end": 598.73, "word": " الفترة", "probability": 0.9900716145833334}, {"start": 598.73, "end": 599.77, "word": " المذكورة", "probability": 0.97578125}, {"start": 599.77, "end": 600.51, "word": " ماشي", "probability": 0.85498046875}, {"start": 600.51, "end": 601.45, "word": " شوفوا", "probability": 0.7268880208333334}, {"start": 601.45, "end": 601.91, "word": " هل", "probability": 0.87939453125}, {"start": 601.91, "end": 602.41, "word": " مثل", "probability": 0.828857421875}, {"start": 602.41, "end": 602.93, "word": " المحلق", "probability": 0.555938720703125}], "temperature": 1.0}, {"id": 28, "seek": 62621, "start": 603.57, "end": 626.21, "text": "الأن F is linear functional مافيش دا أنا أعيد حالي F is linear ماعملناها قبل شويه ال integration is linear ف why إلكم أعملناها اللي الآن بدأ أثبت main اللي هو ال boundedness و أثبت norm ال F بساوي normal B minus A اللي هو norm ال F أصغر بساوي B minus A بنثبتها و بعدين بنختار نقطة معينة و بنثبت كده و هتلاقوا الأساليب متشابهة نشوف كيف", "tokens": [6027, 33456, 479, 307, 8213, 11745, 19446, 41185, 8592, 11778, 995, 41850, 5551, 3615, 25708, 11331, 6027, 1829, 479, 307, 8213, 19446, 25957, 1211, 8315, 11296, 12174, 36150, 13412, 45865, 3224, 2423, 10980, 307, 8213, 6156, 983, 11933, 23275, 2304, 5551, 25957, 1211, 8315, 11296, 13672, 1829, 6024, 48506, 47525, 10721, 5551, 12984, 3555, 2655, 2135, 13672, 1829, 31439, 2423, 37498, 1287, 4032, 5551, 12984, 3555, 2655, 2026, 2423, 479, 4724, 3794, 995, 45865, 2710, 363, 3175, 316, 13672, 1829, 31439, 2026, 2423, 479, 5551, 9381, 17082, 2288, 4724, 3794, 995, 45865, 363, 3175, 316, 44945, 12984, 3555, 2655, 11296, 4032, 39182, 9957, 44945, 46456, 9640, 8717, 47432, 3660, 20449, 9957, 3660, 4032, 44945, 12984, 3555, 2655, 9122, 3215, 3224, 4032, 8032, 2655, 15040, 4587, 14407, 16247, 3794, 6027, 1829, 3555, 44650, 8592, 16758, 3224, 3660, 8717, 8592, 38688, 9122, 33911], "avg_logprob": -0.27750879316262794, "compression_ratio": 1.800711743772242, "no_speech_prob": 1.2934207916259766e-05, "words": [{"start": 603.57, "end": 603.93, "word": "الأن", "probability": 0.41510009765625}, {"start": 603.93, "end": 604.17, "word": " F", "probability": 0.367431640625}, {"start": 604.17, "end": 604.37, "word": " is", "probability": 0.71875}, {"start": 604.37, "end": 604.55, "word": " linear", "probability": 0.82470703125}, {"start": 604.55, "end": 604.97, "word": " functional", "probability": 0.55126953125}, {"start": 604.97, "end": 605.19, "word": " مافيش", "probability": 0.8439127604166666}, {"start": 605.19, "end": 605.29, "word": " دا", "probability": 0.5552978515625}, {"start": 605.29, "end": 605.43, "word": " أنا", "probability": 0.259033203125}, {"start": 605.43, "end": 605.65, "word": " أعيد", "probability": 0.8424479166666666}, {"start": 605.65, "end": 606.09, "word": " حالي", "probability": 0.97216796875}, {"start": 606.09, "end": 606.57, "word": " F", "probability": 0.466552734375}, {"start": 606.57, "end": 606.71, "word": " is", "probability": 0.923828125}, {"start": 606.71, "end": 606.91, "word": " linear", "probability": 0.8994140625}, {"start": 606.91, "end": 607.39, "word": " ماعملناها", "probability": 0.92236328125}, {"start": 607.39, "end": 607.55, "word": " قبل", "probability": 0.953125}, {"start": 607.55, "end": 607.77, "word": " شويه", "probability": 0.7903645833333334}, {"start": 607.77, "end": 607.85, "word": " ال", "probability": 0.81005859375}, {"start": 607.85, "end": 608.05, "word": " integration", "probability": 0.91943359375}, {"start": 608.05, "end": 608.39, "word": " is", "probability": 0.2257080078125}, {"start": 608.39, "end": 608.73, "word": " linear", "probability": 0.5810546875}, {"start": 608.73, "end": 609.23, "word": " ف", "probability": 0.78369140625}, {"start": 609.23, "end": 609.69, "word": " why", "probability": 0.381103515625}, {"start": 609.69, "end": 610.19, "word": " إلكم", "probability": 0.6907552083333334}, {"start": 610.19, "end": 611.33, "word": " أعملناها", "probability": 0.80029296875}, {"start": 611.33, "end": 611.89, "word": " اللي", "probability": 0.794189453125}, {"start": 611.89, "end": 612.07, "word": " الآن", "probability": 0.56610107421875}, {"start": 612.07, "end": 612.41, "word": " بدأ", "probability": 0.623779296875}, {"start": 612.41, "end": 612.77, "word": " أثبت", "probability": 0.9510498046875}, {"start": 612.77, "end": 613.11, "word": " main", "probability": 0.4072265625}, {"start": 613.11, "end": 613.45, "word": " اللي", "probability": 0.980224609375}, {"start": 613.45, "end": 613.65, "word": " هو", "probability": 0.99072265625}, {"start": 613.65, "end": 613.79, "word": " ال", "probability": 0.57177734375}, {"start": 613.79, "end": 614.47, "word": " boundedness", "probability": 0.88232421875}, {"start": 614.47, "end": 614.59, "word": " و", "probability": 0.8603515625}, {"start": 614.59, "end": 614.93, "word": " أثبت", "probability": 0.9761962890625}, {"start": 614.93, "end": 615.17, "word": " norm", "probability": 0.591796875}, {"start": 615.17, "end": 615.29, "word": " ال", "probability": 0.1776123046875}, {"start": 615.29, "end": 615.45, "word": " F", "probability": 0.943359375}, {"start": 615.45, "end": 615.77, "word": " بساوي", "probability": 0.61383056640625}, {"start": 615.77, "end": 616.09, "word": " normal", "probability": 0.460205078125}, {"start": 616.09, "end": 616.27, "word": " B", "probability": 0.411865234375}, {"start": 616.27, "end": 616.55, "word": " minus", "probability": 0.444580078125}, {"start": 616.55, "end": 616.81, "word": " A", "probability": 0.97509765625}, {"start": 616.81, "end": 617.55, "word": " اللي", "probability": 0.985595703125}, {"start": 617.55, "end": 617.67, "word": " هو", "probability": 0.98583984375}, {"start": 617.67, "end": 617.89, "word": " norm", "probability": 0.447509765625}, {"start": 617.89, "end": 618.01, "word": " ال", "probability": 0.64111328125}, {"start": 618.01, "end": 618.17, "word": " F", "probability": 0.98974609375}, {"start": 618.17, "end": 618.51, "word": " أصغر", "probability": 0.985595703125}, {"start": 618.51, "end": 618.71, "word": " بساوي", "probability": 0.9046630859375}, {"start": 618.71, "end": 618.89, "word": " B", "probability": 0.80126953125}, {"start": 618.89, "end": 619.13, "word": " minus", "probability": 0.94287109375}, {"start": 619.13, "end": 619.29, "word": " A", "probability": 0.9873046875}, {"start": 619.29, "end": 619.79, "word": " بنثبتها", "probability": 0.86865234375}, {"start": 619.79, "end": 619.87, "word": " و", "probability": 0.587890625}, {"start": 619.87, "end": 620.15, "word": " بعدين", "probability": 0.894775390625}, {"start": 620.15, "end": 620.63, "word": " بنختار", "probability": 0.90869140625}, {"start": 620.63, "end": 620.91, "word": " نقطة", "probability": 0.9845377604166666}, {"start": 620.91, "end": 621.23, "word": " معينة", "probability": 0.9895833333333334}, {"start": 621.23, "end": 621.31, "word": " و", "probability": 0.61181640625}, {"start": 621.31, "end": 621.63, "word": " بنثبت", "probability": 0.9290771484375}, {"start": 621.63, "end": 621.85, "word": " كده", "probability": 0.8614908854166666}, {"start": 621.85, "end": 622.05, "word": " و", "probability": 0.93408203125}, {"start": 622.05, "end": 622.77, "word": " هتلاقوا", "probability": 0.843701171875}, {"start": 622.77, "end": 624.27, "word": " الأساليب", "probability": 0.8921875}, {"start": 624.27, "end": 625.61, "word": " متشابهة", "probability": 0.839892578125}, {"start": 625.61, "end": 626.01, "word": " نشوف", "probability": 0.8003743489583334}, {"start": 626.01, "end": 626.21, "word": " كيف", "probability": 0.772216796875}], "temperature": 1.0}, {"id": 29, "seek": 65098, "start": 627.12, "end": 650.98, "text": "for any x element in c0,1 يعني continuous function على فترة 0,1 we have حسبول ال absolute value ل f of x ال absolute value ل f of x لأنه ماكتبش norm لأن f of x بترمي في ال R فإيش ال norm هو عبارة عن absolute value absolute value ل f of x بيساوي ال absolute value لل integration من a و b هذا أصغر أو يساوي من صحيحة ال integration ال integration لل absolute value صح؟", "tokens": [2994, 604, 2031, 4478, 294, 269, 15, 11, 16, 37495, 22653, 10957, 2445, 15844, 6156, 2655, 25720, 1958, 11, 16, 321, 362, 11331, 35457, 12610, 2423, 8236, 2158, 5296, 283, 295, 2031, 2423, 8236, 2158, 5296, 283, 295, 2031, 5296, 33456, 3224, 19446, 4117, 2655, 3555, 8592, 2026, 5296, 33456, 283, 295, 2031, 39894, 2288, 2304, 1829, 8978, 2423, 497, 6156, 28814, 1829, 8592, 2423, 2026, 31439, 6225, 3555, 9640, 3660, 18871, 8236, 2158, 8236, 2158, 5296, 283, 295, 2031, 4724, 1829, 3794, 995, 45865, 2423, 8236, 2158, 24976, 10980, 9154, 257, 4032, 272, 23758, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 9154, 20328, 5016, 1829, 5016, 3660, 2423, 10980, 2423, 10980, 24976, 8236, 2158, 20328, 5016, 22807], "avg_logprob": -0.26833679065231447, "compression_ratio": 1.8645418326693226, "no_speech_prob": 2.9206275939941406e-06, "words": [{"start": 627.12, "end": 627.48, "word": "for", "probability": 0.1141357421875}, {"start": 627.48, "end": 627.82, "word": " any", "probability": 0.89599609375}, {"start": 627.82, "end": 628.08, "word": " x", "probability": 0.82568359375}, {"start": 628.08, "end": 628.42, "word": " element", "probability": 0.81591796875}, {"start": 628.42, "end": 628.72, "word": " in", "probability": 0.9130859375}, {"start": 628.72, "end": 629.78, "word": " c0", "probability": 0.175262451171875}, {"start": 629.78, "end": 630.12, "word": ",1", "probability": 0.6943359375}, {"start": 630.12, "end": 630.34, "word": " يعني", "probability": 0.780517578125}, {"start": 630.34, "end": 630.68, "word": " continuous", "probability": 0.51953125}, {"start": 630.68, "end": 631.08, "word": " function", "probability": 0.9609375}, {"start": 631.08, "end": 631.18, "word": " على", "probability": 0.50927734375}, {"start": 631.18, "end": 631.42, "word": " فترة", "probability": 0.9093424479166666}, {"start": 631.42, "end": 631.62, "word": " 0", "probability": 0.407470703125}, {"start": 631.62, "end": 632.06, "word": ",1", "probability": 0.94091796875}, {"start": 632.06, "end": 632.62, "word": " we", "probability": 0.53759765625}, {"start": 632.62, "end": 632.98, "word": " have", "probability": 0.958984375}, {"start": 632.98, "end": 633.64, "word": " حسبول", "probability": 0.5912272135416666}, {"start": 633.64, "end": 633.74, "word": " ال", "probability": 0.61962890625}, {"start": 633.74, "end": 634.04, "word": " absolute", "probability": 0.712890625}, {"start": 634.04, "end": 634.36, "word": " value", "probability": 0.98291015625}, {"start": 634.36, "end": 634.46, "word": " ل", "probability": 0.416748046875}, {"start": 634.46, "end": 634.58, "word": " f", "probability": 0.1744384765625}, {"start": 634.58, "end": 634.74, "word": " of", "probability": 0.12548828125}, {"start": 634.74, "end": 634.94, "word": " x", "probability": 0.9404296875}, {"start": 634.94, "end": 635.08, "word": " ال", "probability": 0.2003173828125}, {"start": 635.08, "end": 635.4, "word": " absolute", "probability": 0.958984375}, {"start": 635.4, "end": 635.6, "word": " value", "probability": 0.9873046875}, {"start": 635.6, "end": 635.66, "word": " ل", "probability": 0.904296875}, {"start": 635.66, "end": 635.74, "word": " f", "probability": 0.90087890625}, {"start": 635.74, "end": 635.88, "word": " of", "probability": 0.9384765625}, {"start": 635.88, "end": 636.02, "word": " x", "probability": 0.990234375}, {"start": 636.02, "end": 636.24, "word": " لأنه", "probability": 0.6845703125}, {"start": 636.24, "end": 636.62, "word": " ماكتبش", "probability": 0.79052734375}, {"start": 636.62, "end": 636.9, "word": " norm", "probability": 0.89453125}, {"start": 636.9, "end": 637.5, "word": " لأن", "probability": 0.894775390625}, {"start": 637.5, "end": 637.68, "word": " f", "probability": 0.75537109375}, {"start": 637.68, "end": 637.82, "word": " of", "probability": 0.94140625}, {"start": 637.82, "end": 637.96, "word": " x", "probability": 0.98193359375}, {"start": 637.96, "end": 638.28, "word": " بترمي", "probability": 0.8037109375}, {"start": 638.28, "end": 638.38, "word": " في", "probability": 0.80859375}, {"start": 638.38, "end": 638.48, "word": " ال", "probability": 0.9306640625}, {"start": 638.48, "end": 638.7, "word": " R", "probability": 0.5166015625}, {"start": 638.7, "end": 639.4, "word": " فإيش", "probability": 0.759674072265625}, {"start": 639.4, "end": 639.56, "word": " ال", "probability": 0.55908203125}, {"start": 639.56, "end": 639.74, "word": " norm", "probability": 0.94970703125}, {"start": 639.74, "end": 639.88, "word": " هو", "probability": 0.91845703125}, {"start": 639.88, "end": 640.1, "word": " عبارة", "probability": 0.991455078125}, {"start": 640.1, "end": 640.18, "word": " عن", "probability": 0.94873046875}, {"start": 640.18, "end": 640.42, "word": " absolute", "probability": 0.912109375}, {"start": 640.42, "end": 640.8, "word": " value", "probability": 0.99462890625}, {"start": 640.8, "end": 641.62, "word": " absolute", "probability": 0.765625}, {"start": 641.62, "end": 641.86, "word": " value", "probability": 0.978515625}, {"start": 641.86, "end": 641.86, "word": " ل", "probability": 0.87353515625}, {"start": 641.86, "end": 642.16, "word": " f", "probability": 0.88818359375}, {"start": 642.16, "end": 642.34, "word": " of", "probability": 0.97412109375}, {"start": 642.34, "end": 642.48, "word": " x", "probability": 0.9755859375}, {"start": 642.48, "end": 642.94, "word": " بيساوي", "probability": 0.91640625}, {"start": 642.94, "end": 643.56, "word": " ال", "probability": 0.98046875}, {"start": 643.56, "end": 643.9, "word": " absolute", "probability": 0.97314453125}, {"start": 643.9, "end": 644.16, "word": " value", "probability": 0.97802734375}, {"start": 644.16, "end": 644.28, "word": " لل", "probability": 0.583984375}, {"start": 644.28, "end": 644.74, "word": " integration", "probability": 0.96875}, {"start": 644.74, "end": 645.0, "word": " من", "probability": 0.97705078125}, {"start": 645.0, "end": 645.14, "word": " a", "probability": 0.6630859375}, {"start": 645.14, "end": 645.24, "word": " و", "probability": 0.9052734375}, {"start": 645.24, "end": 645.44, "word": " b", "probability": 0.80615234375}, {"start": 645.44, "end": 646.08, "word": " هذا", "probability": 0.90576171875}, {"start": 646.08, "end": 646.52, "word": " أصغر", "probability": 0.947998046875}, {"start": 646.52, "end": 646.66, "word": " أو", "probability": 0.96142578125}, {"start": 646.66, "end": 647.24, "word": " يساوي", "probability": 0.9591064453125}, {"start": 647.24, "end": 647.64, "word": " من", "probability": 0.87939453125}, {"start": 647.64, "end": 647.98, "word": " صحيحة", "probability": 0.58271484375}, {"start": 647.98, "end": 648.04, "word": " ال", "probability": 0.9296875}, {"start": 648.04, "end": 648.56, "word": " integration", "probability": 0.97119140625}, {"start": 648.56, "end": 649.14, "word": " ال", "probability": 0.88134765625}, {"start": 649.14, "end": 649.64, "word": " integration", "probability": 0.978515625}, {"start": 649.64, "end": 649.84, "word": " لل", "probability": 0.80224609375}, {"start": 649.84, "end": 650.16, "word": " absolute", "probability": 0.96826171875}, {"start": 650.16, "end": 650.52, "word": " value", "probability": 0.990234375}, {"start": 650.52, "end": 650.98, "word": " صح؟", "probability": 0.9365234375}], "temperature": 1.0}, {"id": 30, "seek": 66121, "start": 651.55, "end": 661.21, "text": "واللي جوا اللي هو X of T أكيد أصغر أو يساوي ال maximum على كل ال T، ماشي؟ إذا أصغر أو يساوي B minus A في ال maximum ل X of T T element in J", "tokens": [2407, 6027, 20292, 10874, 14407, 13672, 1829, 31439, 1783, 295, 314, 5551, 4117, 25708, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 2423, 6674, 15844, 28242, 2423, 314, 12399, 3714, 33599, 1829, 22807, 11933, 15730, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 363, 3175, 316, 8978, 2423, 6674, 5296, 1783, 295, 314, 314, 4478, 294, 508], "avg_logprob": -0.24934895237286886, "compression_ratio": 1.4125874125874125, "no_speech_prob": 1.4901161193847656e-06, "words": [{"start": 651.5500000000001, "end": 651.97, "word": "واللي", "probability": 0.9152018229166666}, {"start": 651.97, "end": 652.39, "word": " جوا", "probability": 0.755859375}, {"start": 652.39, "end": 652.65, "word": " اللي", "probability": 0.864013671875}, {"start": 652.65, "end": 652.75, "word": " هو", "probability": 0.9306640625}, {"start": 652.75, "end": 652.95, "word": " X", "probability": 0.37060546875}, {"start": 652.95, "end": 653.13, "word": " of", "probability": 0.439208984375}, {"start": 653.13, "end": 653.27, "word": " T", "probability": 0.888671875}, {"start": 653.27, "end": 653.65, "word": " أكيد", "probability": 0.9104817708333334}, {"start": 653.65, "end": 654.01, "word": " أصغر", "probability": 0.9874267578125}, {"start": 654.01, "end": 654.11, "word": " أو", "probability": 0.444091796875}, {"start": 654.11, "end": 654.35, "word": " يساوي", "probability": 0.76300048828125}, {"start": 654.35, "end": 654.43, "word": " ال", "probability": 0.62353515625}, {"start": 654.43, "end": 654.77, "word": " maximum", "probability": 0.724609375}, {"start": 654.77, "end": 655.65, "word": " على", "probability": 0.86962890625}, {"start": 655.65, "end": 656.13, "word": " كل", "probability": 0.7626953125}, {"start": 656.13, "end": 656.29, "word": " ال", "probability": 0.81787109375}, {"start": 656.29, "end": 656.69, "word": " T،", "probability": 0.401123046875}, {"start": 656.69, "end": 657.41, "word": " ماشي؟", "probability": 0.7725830078125}, {"start": 657.41, "end": 657.61, "word": " إذا", "probability": 0.789306640625}, {"start": 657.61, "end": 657.95, "word": " أصغر", "probability": 0.9715576171875}, {"start": 657.95, "end": 658.03, "word": " أو", "probability": 0.80078125}, {"start": 658.03, "end": 658.21, "word": " يساوي", "probability": 0.9569091796875}, {"start": 658.21, "end": 658.37, "word": " B", "probability": 0.2127685546875}, {"start": 658.37, "end": 658.65, "word": " minus", "probability": 0.492919921875}, {"start": 658.65, "end": 658.89, "word": " A", "probability": 0.97021484375}, {"start": 658.89, "end": 659.01, "word": " في", "probability": 0.8642578125}, {"start": 659.01, "end": 659.11, "word": " ال", "probability": 0.669921875}, {"start": 659.11, "end": 659.55, "word": " maximum", "probability": 0.955078125}, {"start": 659.55, "end": 659.79, "word": " ل", "probability": 0.95068359375}, {"start": 659.79, "end": 660.01, "word": " X", "probability": 0.76611328125}, {"start": 660.01, "end": 660.17, "word": " of", "probability": 0.96826171875}, {"start": 660.17, "end": 660.31, "word": " T", "probability": 0.98486328125}, {"start": 660.31, "end": 660.51, "word": " T", "probability": 0.2734375}, {"start": 660.51, "end": 660.85, "word": " element", "probability": 0.8662109375}, {"start": 660.85, "end": 661.05, "word": " in", "probability": 0.8447265625}, {"start": 661.05, "end": 661.21, "word": " J", "probability": 0.59033203125}], "temperature": 1.0}, {"id": 31, "seek": 69028, "start": 661.94, "end": 690.28, "text": "مفهوم، أه؟ إذا صار عندى الآن B minus A مضروب في مين؟ هذا عبارة عن الـ Norm Normal X صار عنده Absolute Value of X أصغر أو سوى B minus A في Normal X بمعنى أخر صارت F bounded ومش هيك و Absolute Value of X على Normal X أصغر أو سوى B minus A صارت الـ B minus A يتبع عن Upper Bound لـ Absolute Value of X على Normal X إذا صار Supremum اللي هو الـ Upper Bound أصغر أو سوى B minus A اللي هي Upper Bound", "tokens": [2304, 5172, 3224, 20498, 12399, 5551, 3224, 22807, 11933, 15730, 20328, 9640, 43242, 7578, 6024, 48506, 363, 3175, 316, 3714, 11242, 32887, 3555, 8978, 3714, 9957, 22807, 23758, 6225, 3555, 9640, 3660, 18871, 2423, 39184, 8702, 21277, 1783, 20328, 9640, 43242, 3224, 43965, 1169, 39352, 295, 1783, 5551, 9381, 17082, 2288, 34051, 8608, 2407, 7578, 363, 3175, 316, 8978, 21277, 1783, 4724, 2304, 3615, 1863, 7578, 5551, 34740, 20328, 9640, 2655, 479, 37498, 4032, 2304, 8592, 39896, 4117, 4032, 43965, 1169, 39352, 295, 1783, 15844, 21277, 1783, 5551, 9381, 17082, 2288, 34051, 8608, 2407, 7578, 363, 3175, 316, 20328, 9640, 2655, 2423, 39184, 363, 3175, 316, 7251, 2655, 3555, 3615, 18871, 36926, 363, 554, 5296, 39184, 43965, 1169, 39352, 295, 1783, 15844, 21277, 1783, 11933, 15730, 20328, 9640, 9141, 2579, 449, 13672, 1829, 31439, 2423, 39184, 36926, 363, 554, 5551, 9381, 17082, 2288, 34051, 8608, 2407, 7578, 363, 3175, 316, 13672, 1829, 39896, 36926, 363, 554], "avg_logprob": -0.230891717087691, "compression_ratio": 2.0852713178294575, "no_speech_prob": 3.039836883544922e-06, "words": [{"start": 661.94, "end": 662.46, "word": "مفهوم،", "probability": 0.72568359375}, {"start": 662.46, "end": 662.98, "word": " أه؟", "probability": 0.7513020833333334}, {"start": 662.98, "end": 663.3, "word": " إذا", "probability": 0.763671875}, {"start": 663.3, "end": 663.6, "word": " صار", "probability": 0.930908203125}, {"start": 663.6, "end": 663.94, "word": " عندى", "probability": 0.733154296875}, {"start": 663.94, "end": 664.32, "word": " الآن", "probability": 0.5726318359375}, {"start": 664.32, "end": 664.7, "word": " B", "probability": 0.1876220703125}, {"start": 664.7, "end": 665.1, "word": " minus", "probability": 0.3466796875}, {"start": 665.1, "end": 665.44, "word": " A", "probability": 0.96533203125}, {"start": 665.44, "end": 666.18, "word": " مضروب", "probability": 0.934814453125}, {"start": 666.18, "end": 666.3, "word": " في", "probability": 0.87451171875}, {"start": 666.3, "end": 666.66, "word": " مين؟", "probability": 0.8880208333333334}, {"start": 666.66, "end": 666.82, "word": " هذا", "probability": 0.83349609375}, {"start": 666.82, "end": 667.08, "word": " عبارة", "probability": 0.9844970703125}, {"start": 667.08, "end": 667.24, "word": " عن", "probability": 0.9921875}, {"start": 667.24, "end": 667.5, "word": " الـ", "probability": 0.73388671875}, {"start": 667.5, "end": 667.64, "word": " Norm", "probability": 0.1903076171875}, {"start": 667.64, "end": 668.6, "word": " Normal", "probability": 0.29638671875}, {"start": 668.6, "end": 668.94, "word": " X", "probability": 0.9482421875}, {"start": 668.94, "end": 669.44, "word": " صار", "probability": 0.860107421875}, {"start": 669.44, "end": 669.68, "word": " عنده", "probability": 0.609619140625}, {"start": 669.68, "end": 670.16, "word": " Absolute", "probability": 0.76611328125}, {"start": 670.16, "end": 670.34, "word": " Value", "probability": 0.560546875}, {"start": 670.34, "end": 670.44, "word": " of", "probability": 0.77685546875}, {"start": 670.44, "end": 670.86, "word": " X", "probability": 0.767578125}, {"start": 670.86, "end": 671.38, "word": " أصغر", "probability": 0.9879150390625}, {"start": 671.38, "end": 671.52, "word": " أو", "probability": 0.85205078125}, {"start": 671.52, "end": 671.66, "word": " سوى", "probability": 0.562255859375}, {"start": 671.66, "end": 671.84, "word": " B", "probability": 0.845703125}, {"start": 671.84, "end": 672.1, "word": " minus", "probability": 0.9248046875}, {"start": 672.1, "end": 672.22, "word": " A", "probability": 0.9921875}, {"start": 672.22, "end": 672.34, "word": " في", "probability": 0.8515625}, {"start": 672.34, "end": 672.58, "word": " Normal", "probability": 0.90380859375}, {"start": 672.58, "end": 672.86, "word": " X", "probability": 0.99755859375}, {"start": 672.86, "end": 673.62, "word": " بمعنى", "probability": 0.98544921875}, {"start": 673.62, "end": 673.92, "word": " أخر", "probability": 0.7900390625}, {"start": 673.92, "end": 674.26, "word": " صارت", "probability": 0.8723958333333334}, {"start": 674.26, "end": 674.46, "word": " F", "probability": 0.89306640625}, {"start": 674.46, "end": 674.94, "word": " bounded", "probability": 0.68896484375}, {"start": 674.94, "end": 675.68, "word": " ومش", "probability": 0.9407552083333334}, {"start": 675.68, "end": 676.12, "word": " هيك", "probability": 0.9375}, {"start": 676.12, "end": 676.38, "word": " و", "probability": 0.64697265625}, {"start": 676.38, "end": 676.86, "word": " Absolute", "probability": 0.61798095703125}, {"start": 676.86, "end": 677.1, "word": " Value", "probability": 0.9638671875}, {"start": 677.1, "end": 677.24, "word": " of", "probability": 0.8310546875}, {"start": 677.24, "end": 677.66, "word": " X", "probability": 0.9619140625}, {"start": 677.66, "end": 678.0, "word": " على", "probability": 0.7919921875}, {"start": 678.0, "end": 678.58, "word": " Normal", "probability": 0.91943359375}, {"start": 678.58, "end": 679.08, "word": " X", "probability": 0.9970703125}, {"start": 679.08, "end": 679.98, "word": " أصغر", "probability": 0.99365234375}, {"start": 679.98, "end": 680.1, "word": " أو", "probability": 0.97314453125}, {"start": 680.1, "end": 680.26, "word": " سوى", "probability": 0.955078125}, {"start": 680.26, "end": 680.44, "word": " B", "probability": 0.98779296875}, {"start": 680.44, "end": 680.72, "word": " minus", "probability": 0.9853515625}, {"start": 680.72, "end": 680.86, "word": " A", "probability": 0.99609375}, {"start": 680.86, "end": 681.18, "word": " صارت", "probability": 0.8870442708333334}, {"start": 681.18, "end": 681.3, "word": " الـ", "probability": 0.876953125}, {"start": 681.3, "end": 681.38, "word": " B", "probability": 0.8701171875}, {"start": 681.38, "end": 681.62, "word": " minus", "probability": 0.990234375}, {"start": 681.62, "end": 681.84, "word": " A", "probability": 0.9951171875}, {"start": 681.84, "end": 682.22, "word": " يتبع", "probability": 0.6292724609375}, {"start": 682.22, "end": 682.46, "word": " عن", "probability": 0.833984375}, {"start": 682.46, "end": 682.8, "word": " Upper", "probability": 0.78369140625}, {"start": 682.8, "end": 683.3, "word": " Bound", "probability": 0.86376953125}, {"start": 683.3, "end": 683.84, "word": " لـ", "probability": 0.36029052734375}, {"start": 683.84, "end": 684.1, "word": " Absolute", "probability": 0.821533203125}, {"start": 684.1, "end": 684.26, "word": " Value", "probability": 0.970703125}, {"start": 684.26, "end": 684.4, "word": " of", "probability": 0.90087890625}, {"start": 684.4, "end": 684.74, "word": " X", "probability": 0.984375}, {"start": 684.74, "end": 685.62, "word": " على", "probability": 0.89794921875}, {"start": 685.62, "end": 685.94, "word": " Normal", "probability": 0.89892578125}, {"start": 685.94, "end": 686.2, "word": " X", "probability": 0.99755859375}, {"start": 686.2, "end": 686.38, "word": " إذا", "probability": 0.869873046875}, {"start": 686.38, "end": 686.64, "word": " صار", "probability": 0.9609375}, {"start": 686.64, "end": 687.26, "word": " Supremum", "probability": 0.5735270182291666}, {"start": 687.26, "end": 687.36, "word": " اللي", "probability": 0.714599609375}, {"start": 687.36, "end": 687.52, "word": " هو", "probability": 0.97021484375}, {"start": 687.52, "end": 687.72, "word": " الـ", "probability": 0.60791015625}, {"start": 687.72, "end": 688.02, "word": " Upper", "probability": 0.71435546875}, {"start": 688.02, "end": 688.3, "word": " Bound", "probability": 0.952392578125}, {"start": 688.3, "end": 688.64, "word": " أصغر", "probability": 0.9893798828125}, {"start": 688.64, "end": 688.72, "word": " أو", "probability": 0.97900390625}, {"start": 688.72, "end": 688.88, "word": " سوى", "probability": 0.9386393229166666}, {"start": 688.88, "end": 689.12, "word": " B", "probability": 0.873046875}, {"start": 689.12, "end": 689.46, "word": " minus", "probability": 0.974609375}, {"start": 689.46, "end": 689.64, "word": " A", "probability": 0.9912109375}, {"start": 689.64, "end": 689.72, "word": " اللي", "probability": 0.8564453125}, {"start": 689.72, "end": 689.82, "word": " هي", "probability": 0.94873046875}, {"start": 689.82, "end": 690.04, "word": " Upper", "probability": 0.943359375}, {"start": 690.04, "end": 690.28, "word": " Bound", "probability": 0.96630859375}], "temperature": 1.0}, {"id": 32, "seek": 69570, "start": 690.64, "end": 695.7, "text": "يعني norm of f أخر شو بيه minus a قلته هذا قبلين عيده", "tokens": [40228, 22653, 2026, 295, 283, 5551, 34740, 13412, 2407, 4724, 1829, 3224, 3175, 257, 12174, 1211, 47395, 23758, 12174, 36150, 9957, 6225, 25708, 3224], "avg_logprob": -0.545625, "compression_ratio": 0.9529411764705882, "no_speech_prob": 7.748603820800781e-07, "words": [{"start": 690.64, "end": 690.88, "word": "يعني", "probability": 0.92236328125}, {"start": 690.88, "end": 691.12, "word": " norm", "probability": 0.376220703125}, {"start": 691.12, "end": 691.22, "word": " of", "probability": 0.31884765625}, {"start": 691.22, "end": 691.38, "word": " f", "probability": 0.425537109375}, {"start": 691.38, "end": 691.6, "word": " أخر", "probability": 0.3128662109375}, {"start": 691.6, "end": 691.84, "word": " شو", "probability": 0.49951171875}, {"start": 691.84, "end": 692.0, "word": " بيه", "probability": 0.6908365885416666}, {"start": 692.0, "end": 692.16, "word": " minus", "probability": 0.75146484375}, {"start": 692.16, "end": 692.44, "word": " a", "probability": 0.312255859375}, {"start": 692.44, "end": 693.14, "word": " قلته", "probability": 0.7102864583333334}, {"start": 693.14, "end": 693.32, "word": " هذا", "probability": 0.7998046875}, {"start": 693.32, "end": 693.8, "word": " قبلين", "probability": 0.7843424479166666}, {"start": 693.8, "end": 695.7, "word": " عيده", "probability": 0.720703125}], "temperature": 1.0}, {"id": 33, "seek": 72267, "start": 699.85, "end": 722.67, "text": "Conversely أكبر اوي ساوي اختيار نقطة تخدمني ماشي الحال النقطة اللي بتجيبلي هذه واحد واضح ان انا بتاخدها ايه اش مالها واحد عشان اعمل انت اللي هو تكامل يطلع عقل دي بي مانس واحد و تنحل أموري ده نشوف كيف ايش اللي بقوله Now choose X not independent of C,A,B وخد X not of T ايش بتساوي ال constant function واحد وده متصل اما احنا عارفين", "tokens": [9838, 840, 736, 5551, 4117, 26890, 1975, 45865, 8608, 995, 45865, 1975, 9778, 31371, 9640, 8717, 47432, 3660, 6055, 9778, 40448, 22653, 3714, 33599, 1829, 21542, 6027, 28239, 47432, 3660, 13672, 1829, 39894, 7435, 1829, 3555, 20292, 29538, 36764, 24401, 4032, 46958, 5016, 16472, 1975, 8315, 39894, 47283, 3215, 11296, 1975, 1829, 3224, 1975, 8592, 3714, 6027, 11296, 36764, 24401, 6225, 8592, 7649, 1975, 25957, 1211, 16472, 2655, 13672, 1829, 31439, 6055, 4117, 10943, 1211, 7251, 9566, 1211, 3615, 6225, 4587, 1211, 11778, 1829, 4724, 1829, 19446, 1863, 3794, 36764, 24401, 4032, 6055, 1863, 5016, 1211, 5551, 2304, 13063, 1829, 11778, 3224, 8717, 8592, 38688, 9122, 33911, 1975, 1829, 8592, 13672, 1829, 4724, 39648, 3224, 823, 2826, 1783, 406, 6695, 295, 383, 11, 32, 11, 33, 4032, 9778, 3215, 1783, 406, 295, 314, 1975, 1829, 8592, 39894, 3794, 995, 45865, 2423, 5754, 2445, 36764, 24401, 4032, 3215, 3224, 44650, 36520, 1975, 15042, 1975, 5016, 8315, 6225, 9640, 5172, 9957], "avg_logprob": -0.28906249813735485, "compression_ratio": 1.7401315789473684, "no_speech_prob": 1.0132789611816406e-06, "words": [{"start": 699.8499999999999, "end": 700.43, "word": "Conversely", "probability": 0.6429036458333334}, {"start": 700.43, "end": 700.99, "word": " أكبر", "probability": 0.8689778645833334}, {"start": 700.99, "end": 701.13, "word": " اوي", "probability": 0.22906494140625}, {"start": 701.13, "end": 701.49, "word": " ساوي", "probability": 0.7513020833333334}, {"start": 701.49, "end": 702.11, "word": " اختيار", "probability": 0.8433837890625}, {"start": 702.11, "end": 702.63, "word": " نقطة", "probability": 0.9803059895833334}, {"start": 702.63, "end": 703.35, "word": " تخدمني", "probability": 0.8382568359375}, {"start": 703.35, "end": 703.87, "word": " ماشي", "probability": 0.722900390625}, {"start": 703.87, "end": 704.15, "word": " الحال", "probability": 0.92529296875}, {"start": 704.15, "end": 705.09, "word": " النقطة", "probability": 0.88330078125}, {"start": 705.09, "end": 705.15, "word": " اللي", "probability": 0.8623046875}, {"start": 705.15, "end": 705.71, "word": " بتجيبلي", "probability": 0.8111328125}, {"start": 705.71, "end": 705.95, "word": " هذه", "probability": 0.55859375}, {"start": 705.95, "end": 706.29, "word": " واحد", "probability": 0.943603515625}, {"start": 706.29, "end": 706.75, "word": " واضح", "probability": 0.7265625}, {"start": 706.75, "end": 706.87, "word": " ان", "probability": 0.58642578125}, {"start": 706.87, "end": 706.99, "word": " انا", "probability": 0.7724609375}, {"start": 706.99, "end": 707.43, "word": " بتاخدها", "probability": 0.95849609375}, {"start": 707.43, "end": 707.59, "word": " ايه", "probability": 0.6936848958333334}, {"start": 707.59, "end": 707.65, "word": " اش", "probability": 0.74462890625}, {"start": 707.65, "end": 707.97, "word": " مالها", "probability": 0.8434244791666666}, {"start": 707.97, "end": 708.43, "word": " واحد", "probability": 0.936767578125}, {"start": 708.43, "end": 709.09, "word": " عشان", "probability": 0.9749348958333334}, {"start": 709.09, "end": 709.35, "word": " اعمل", "probability": 0.8515625}, {"start": 709.35, "end": 709.57, "word": " انت", "probability": 0.797607421875}, {"start": 709.57, "end": 709.81, "word": " اللي", "probability": 0.74755859375}, {"start": 709.81, "end": 709.97, "word": " هو", "probability": 0.79345703125}, {"start": 709.97, "end": 710.51, "word": " تكامل", "probability": 0.943603515625}, {"start": 710.51, "end": 710.75, "word": " يطلع", "probability": 0.9642333984375}, {"start": 710.75, "end": 710.91, "word": " عقل", "probability": 0.48974609375}, {"start": 710.91, "end": 711.07, "word": " دي", "probability": 0.6455078125}, {"start": 711.07, "end": 711.19, "word": " بي", "probability": 0.4822998046875}, {"start": 711.19, "end": 711.47, "word": " مانس", "probability": 0.6289876302083334}, {"start": 711.47, "end": 711.69, "word": " واحد", "probability": 0.98388671875}, {"start": 711.69, "end": 711.83, "word": " و", "probability": 0.5615234375}, {"start": 711.83, "end": 712.27, "word": " تنحل", "probability": 0.71795654296875}, {"start": 712.27, "end": 712.77, "word": " أموري", "probability": 0.866455078125}, {"start": 712.77, "end": 713.07, "word": " ده", "probability": 0.5439453125}, {"start": 713.07, "end": 713.37, "word": " نشوف", "probability": 0.9103190104166666}, {"start": 713.37, "end": 713.55, "word": " كيف", "probability": 0.947998046875}, {"start": 713.55, "end": 713.67, "word": " ايش", "probability": 0.6612141927083334}, {"start": 713.67, "end": 713.75, "word": " اللي", "probability": 0.9892578125}, {"start": 713.75, "end": 714.17, "word": " بقوله", "probability": 0.9791666666666666}, {"start": 714.17, "end": 714.73, "word": " Now", "probability": 0.56396484375}, {"start": 714.73, "end": 715.19, "word": " choose", "probability": 0.85595703125}, {"start": 715.19, "end": 715.39, "word": " X", "probability": 0.67919921875}, {"start": 715.39, "end": 715.67, "word": " not", "probability": 0.314453125}, {"start": 715.67, "end": 715.99, "word": " independent", "probability": 0.12261962890625}, {"start": 715.99, "end": 716.27, "word": " of", "probability": 0.52490234375}, {"start": 716.27, "end": 716.47, "word": " C", "probability": 0.7890625}, {"start": 716.47, "end": 716.79, "word": ",A", "probability": 0.659912109375}, {"start": 716.79, "end": 717.09, "word": ",B", "probability": 0.560791015625}, {"start": 717.09, "end": 717.95, "word": " وخد", "probability": 0.8834635416666666}, {"start": 717.95, "end": 718.19, "word": " X", "probability": 0.96875}, {"start": 718.19, "end": 718.55, "word": " not", "probability": 0.8701171875}, {"start": 718.55, "end": 718.87, "word": " of", "probability": 0.97705078125}, {"start": 718.87, "end": 719.13, "word": " T", "probability": 0.8408203125}, {"start": 719.13, "end": 719.35, "word": " ايش", "probability": 0.6453450520833334}, {"start": 719.35, "end": 719.89, "word": " بتساوي", "probability": 0.9598388671875}, {"start": 719.89, "end": 720.07, "word": " ال", "probability": 0.95751953125}, {"start": 720.07, "end": 720.51, "word": " constant", "probability": 0.91845703125}, {"start": 720.51, "end": 721.03, "word": " function", "probability": 0.962890625}, {"start": 721.03, "end": 721.27, "word": " واحد", "probability": 0.841552734375}, {"start": 721.27, "end": 721.49, "word": " وده", "probability": 0.6134440104166666}, {"start": 721.49, "end": 722.01, "word": " متصل", "probability": 0.59619140625}, {"start": 722.01, "end": 722.17, "word": " اما", "probability": 0.5927734375}, {"start": 722.17, "end": 722.29, "word": " احنا", "probability": 0.94970703125}, {"start": 722.29, "end": 722.67, "word": " عارفين", "probability": 0.982421875}], "temperature": 1.0}, {"id": 34, "seek": 74539, "start": 723.23, "end": 745.39, "text": "الان norm ال F أكبر أو يساوي اللي هو ال absolute value علي هذه عند نقطة معينة النقطة المعينة أخد تميين اللي هي واحد الان absolute value ل F of X بساوي اللي هي بساوي هذه نورمها واحد لأن قيمتها واحد النورم على الفترة من A من A ل B minus B هيطلع ايش بساوي integration فاهمين أه؟", "tokens": [6027, 7649, 2026, 2423, 479, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 13672, 1829, 31439, 2423, 8236, 2158, 25894, 29538, 43242, 8717, 47432, 3660, 20449, 9957, 3660, 28239, 47432, 3660, 9673, 3615, 9957, 3660, 5551, 9778, 3215, 46811, 1829, 9957, 13672, 1829, 39896, 36764, 24401, 2423, 7649, 8236, 2158, 5296, 479, 295, 1783, 4724, 3794, 995, 45865, 13672, 1829, 39896, 4724, 3794, 995, 45865, 29538, 8717, 13063, 2304, 11296, 36764, 24401, 5296, 33456, 12174, 32640, 2655, 11296, 36764, 24401, 28239, 13063, 2304, 15844, 27188, 2655, 25720, 9154, 316, 9154, 316, 5296, 363, 3175, 363, 39896, 9566, 1211, 3615, 1975, 1829, 8592, 4724, 3794, 995, 45865, 10980, 6156, 995, 16095, 9957, 5551, 3224, 22807], "avg_logprob": -0.21236413276713828, "compression_ratio": 1.8403361344537814, "no_speech_prob": 1.811981201171875e-05, "words": [{"start": 723.23, "end": 723.61, "word": "الان", "probability": 0.673583984375}, {"start": 723.61, "end": 723.95, "word": " norm", "probability": 0.6376953125}, {"start": 723.95, "end": 724.13, "word": " ال", "probability": 0.330322265625}, {"start": 724.13, "end": 724.41, "word": " F", "probability": 0.52197265625}, {"start": 724.41, "end": 724.91, "word": " أكبر", "probability": 0.8984375}, {"start": 724.91, "end": 725.09, "word": " أو", "probability": 0.84375}, {"start": 725.09, "end": 725.65, "word": " يساوي", "probability": 0.9693603515625}, {"start": 725.65, "end": 726.33, "word": " اللي", "probability": 0.906982421875}, {"start": 726.33, "end": 726.69, "word": " هو", "probability": 0.990234375}, {"start": 726.69, "end": 727.19, "word": " ال", "probability": 0.90966796875}, {"start": 727.19, "end": 727.49, "word": " absolute", "probability": 0.84765625}, {"start": 727.49, "end": 727.95, "word": " value", "probability": 0.98974609375}, {"start": 727.95, "end": 728.19, "word": " علي", "probability": 0.50634765625}, {"start": 728.19, "end": 728.47, "word": " هذه", "probability": 0.79150390625}, {"start": 728.47, "end": 728.69, "word": " عند", "probability": 0.8681640625}, {"start": 728.69, "end": 729.03, "word": " نقطة", "probability": 0.97998046875}, {"start": 729.03, "end": 729.61, "word": " معينة", "probability": 0.98681640625}, {"start": 729.61, "end": 730.13, "word": " النقطة", "probability": 0.9156901041666666}, {"start": 730.13, "end": 730.49, "word": " المعينة", "probability": 0.992919921875}, {"start": 730.49, "end": 730.73, "word": " أخد", "probability": 0.876953125}, {"start": 730.73, "end": 731.09, "word": " تميين", "probability": 0.8889973958333334}, {"start": 731.09, "end": 731.21, "word": " اللي", "probability": 0.804443359375}, {"start": 731.21, "end": 731.31, "word": " هي", "probability": 0.92236328125}, {"start": 731.31, "end": 731.69, "word": " واحد", "probability": 0.8994140625}, {"start": 731.69, "end": 732.45, "word": " الان", "probability": 0.6043701171875}, {"start": 732.45, "end": 732.79, "word": " absolute", "probability": 0.77685546875}, {"start": 732.79, "end": 733.19, "word": " value", "probability": 0.9912109375}, {"start": 733.19, "end": 733.33, "word": " ل", "probability": 0.78857421875}, {"start": 733.33, "end": 733.49, "word": " F", "probability": 0.763671875}, {"start": 733.49, "end": 733.65, "word": " of", "probability": 0.78515625}, {"start": 733.65, "end": 734.01, "word": " X", "probability": 0.97265625}, {"start": 734.01, "end": 734.79, "word": " بساوي", "probability": 0.901611328125}, {"start": 734.79, "end": 735.61, "word": " اللي", "probability": 0.95361328125}, {"start": 735.61, "end": 735.91, "word": " هي", "probability": 0.9091796875}, {"start": 735.91, "end": 736.75, "word": " بساوي", "probability": 0.9110107421875}, {"start": 736.75, "end": 737.15, "word": " هذه", "probability": 0.64306640625}, {"start": 737.15, "end": 737.51, "word": " نورمها", "probability": 0.736083984375}, {"start": 737.51, "end": 737.93, "word": " واحد", "probability": 0.98681640625}, {"start": 737.93, "end": 738.17, "word": " لأن", "probability": 0.63623046875}, {"start": 738.17, "end": 738.55, "word": " قيمتها", "probability": 0.867431640625}, {"start": 738.55, "end": 738.93, "word": " واحد", "probability": 0.990234375}, {"start": 738.93, "end": 739.63, "word": " النورم", "probability": 0.8238932291666666}, {"start": 739.63, "end": 739.77, "word": " على", "probability": 0.329833984375}, {"start": 739.77, "end": 740.05, "word": " الفترة", "probability": 0.9690755208333334}, {"start": 740.05, "end": 740.25, "word": " من", "probability": 0.98828125}, {"start": 740.25, "end": 740.43, "word": " A", "probability": 0.5947265625}, {"start": 740.43, "end": 740.61, "word": " من", "probability": 0.38818359375}, {"start": 740.61, "end": 740.81, "word": " A", "probability": 0.95654296875}, {"start": 740.81, "end": 740.89, "word": " ل", "probability": 0.8076171875}, {"start": 740.89, "end": 741.11, "word": " B", "probability": 0.56787109375}, {"start": 741.11, "end": 741.51, "word": " minus", "probability": 0.69921875}, {"start": 741.51, "end": 741.79, "word": " B", "probability": 0.94970703125}, {"start": 741.79, "end": 742.27, "word": " هيطلع", "probability": 0.84393310546875}, {"start": 742.27, "end": 742.45, "word": " ايش", "probability": 0.7163492838541666}, {"start": 742.45, "end": 742.87, "word": " بساوي", "probability": 0.9332275390625}, {"start": 742.87, "end": 744.09, "word": " integration", "probability": 0.88427734375}, {"start": 744.09, "end": 745.13, "word": " فاهمين", "probability": 0.847900390625}, {"start": 745.13, "end": 745.39, "word": " أه؟", "probability": 0.6597493489583334}], "temperature": 1.0}, {"id": 35, "seek": 76951, "start": 746.37, "end": 769.51, "text": "طيب، الآن بيصير عندي الـ Absolute Value of .. لأ الـ X0 هذه عبارة عن نقطة في الـ Continuous Function قيمتها .. نورمها هو الـ Maximum لقيمة الدالة، ما هي ثابتة، الـ Maximum اللي هو واحد، ماعنديش فراش اللقاء في الـ Integration فبيصير عندي نورم الـ F أكبر أو شوه هذا القيمة، والـ H دي واحد، بيصير بس اللي فوقه F of X0 ماعرف الـ F of X0 هي عبارة عن الـ Integration من LBDT", "tokens": [9566, 1829, 3555, 12399, 6024, 48506, 4724, 1829, 9381, 13546, 18871, 16254, 2423, 39184, 43965, 1169, 39352, 295, 4386, 5296, 10721, 2423, 39184, 1783, 15, 29538, 6225, 3555, 9640, 3660, 18871, 8717, 47432, 3660, 8978, 2423, 39184, 14674, 12549, 11166, 882, 12174, 32640, 2655, 11296, 4386, 8717, 13063, 2304, 11296, 31439, 2423, 39184, 29076, 449, 5296, 4587, 32640, 3660, 32748, 6027, 3660, 12399, 19446, 39896, 38637, 16758, 2655, 3660, 12399, 2423, 39184, 29076, 449, 13672, 1829, 31439, 36764, 24401, 12399, 19446, 3615, 1863, 16254, 8592, 6156, 2288, 33599, 13672, 4587, 16606, 8978, 2423, 39184, 47713, 6156, 21292, 9381, 13546, 18871, 16254, 8717, 13063, 2304, 2423, 39184, 479, 5551, 4117, 26890, 34051, 13412, 2407, 3224, 23758, 25062, 32640, 3660, 12399, 16070, 39184, 389, 11778, 1829, 36764, 24401, 12399, 4724, 1829, 9381, 13546, 4724, 3794, 13672, 1829, 6156, 30543, 3224, 479, 295, 1783, 15, 19446, 3615, 28480, 2423, 39184, 479, 295, 1783, 15, 39896, 6225, 3555, 9640, 3660, 18871, 2423, 39184, 47713, 9154, 441, 33, 35, 51], "avg_logprob": -0.28181475688175983, "compression_ratio": 1.8782894736842106, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 746.37, "end": 746.89, "word": "طيب،", "probability": 0.6988525390625}, {"start": 746.89, "end": 747.23, "word": " الآن", "probability": 0.6650390625}, {"start": 747.23, "end": 747.55, "word": " بيصير", "probability": 0.829833984375}, {"start": 747.55, "end": 747.79, "word": " عندي", "probability": 0.7313232421875}, {"start": 747.79, "end": 747.95, "word": " الـ", "probability": 0.8212890625}, {"start": 747.95, "end": 748.35, "word": " Absolute", "probability": 0.6630859375}, {"start": 748.35, "end": 748.57, "word": " Value", "probability": 0.78125}, {"start": 748.57, "end": 748.71, "word": " of", "probability": 0.292724609375}, {"start": 748.71, "end": 748.95, "word": " ..", "probability": 0.46728515625}, {"start": 748.95, "end": 749.49, "word": " لأ", "probability": 0.85546875}, {"start": 749.49, "end": 749.81, "word": " الـ", "probability": 0.793212890625}, {"start": 749.81, "end": 750.09, "word": " X0", "probability": 0.5372314453125}, {"start": 750.09, "end": 750.35, "word": " هذه", "probability": 0.2125244140625}, {"start": 750.35, "end": 750.69, "word": " عبارة", "probability": 0.9971923828125}, {"start": 750.69, "end": 750.99, "word": " عن", "probability": 0.99853515625}, {"start": 750.99, "end": 751.65, "word": " نقطة", "probability": 0.9820963541666666}, {"start": 751.65, "end": 751.77, "word": " في", "probability": 0.9228515625}, {"start": 751.77, "end": 751.89, "word": " الـ", "probability": 0.6068115234375}, {"start": 751.89, "end": 752.25, "word": " Continuous", "probability": 0.816162109375}, {"start": 752.25, "end": 752.67, "word": " Function", "probability": 0.884033203125}, {"start": 752.67, "end": 754.03, "word": " قيمتها", "probability": 0.9149169921875}, {"start": 754.03, "end": 754.17, "word": " ..", "probability": 0.62548828125}, {"start": 754.17, "end": 754.53, "word": " نورمها", "probability": 0.78131103515625}, {"start": 754.53, "end": 754.71, "word": " هو", "probability": 0.96240234375}, {"start": 754.71, "end": 754.95, "word": " الـ", "probability": 0.7646484375}, {"start": 754.95, "end": 755.45, "word": " Maximum", "probability": 0.6961669921875}, {"start": 755.45, "end": 755.95, "word": " لقيمة", "probability": 0.988037109375}, {"start": 755.95, "end": 756.41, "word": " الدالة،", "probability": 0.7178955078125}, {"start": 756.41, "end": 756.43, "word": " ما", "probability": 0.55322265625}, {"start": 756.43, "end": 756.53, "word": " هي", "probability": 0.9609375}, {"start": 756.53, "end": 757.61, "word": " ثابتة،", "probability": 0.8267578125}, {"start": 757.61, "end": 757.75, "word": " الـ", "probability": 0.78662109375}, {"start": 757.75, "end": 758.07, "word": " Maximum", "probability": 0.8994140625}, {"start": 758.07, "end": 758.19, "word": " اللي", "probability": 0.64892578125}, {"start": 758.19, "end": 758.29, "word": " هو", "probability": 0.403076171875}, {"start": 758.29, "end": 758.85, "word": " واحد،", "probability": 0.70068359375}, {"start": 758.85, "end": 759.17, "word": " ماعنديش", "probability": 0.629296875}, {"start": 759.17, "end": 759.37, "word": " فراش", "probability": 0.6337076822916666}, {"start": 759.37, "end": 759.67, "word": " اللقاء", "probability": 0.4892171223958333}, {"start": 759.67, "end": 759.79, "word": " في", "probability": 0.88427734375}, {"start": 759.79, "end": 759.89, "word": " الـ", "probability": 0.928466796875}, {"start": 759.89, "end": 760.23, "word": " Integration", "probability": 0.7197265625}, {"start": 760.23, "end": 761.07, "word": " فبيصير", "probability": 0.792236328125}, {"start": 761.07, "end": 761.29, "word": " عندي", "probability": 0.89404296875}, {"start": 761.29, "end": 761.59, "word": " نورم", "probability": 0.9488932291666666}, {"start": 761.59, "end": 761.79, "word": " الـ", "probability": 0.901123046875}, {"start": 761.79, "end": 761.97, "word": " F", "probability": 0.91845703125}, {"start": 761.97, "end": 762.59, "word": " أكبر", "probability": 0.9685872395833334}, {"start": 762.59, "end": 762.71, "word": " أو", "probability": 0.9677734375}, {"start": 762.71, "end": 762.97, "word": " شوه", "probability": 0.6328125}, {"start": 762.97, "end": 763.11, "word": " هذا", "probability": 0.85888671875}, {"start": 763.11, "end": 763.75, "word": " القيمة،", "probability": 0.9049072265625}, {"start": 763.75, "end": 763.93, "word": " والـ", "probability": 0.4615478515625}, {"start": 763.93, "end": 764.05, "word": " H", "probability": 0.6337890625}, {"start": 764.05, "end": 764.13, "word": " دي", "probability": 0.82421875}, {"start": 764.13, "end": 764.59, "word": " واحد،", "probability": 0.8958333333333334}, {"start": 764.59, "end": 764.93, "word": " بيصير", "probability": 0.968994140625}, {"start": 764.93, "end": 765.27, "word": " بس", "probability": 0.966552734375}, {"start": 765.27, "end": 765.43, "word": " اللي", "probability": 0.977783203125}, {"start": 765.43, "end": 765.77, "word": " فوقه", "probability": 0.7469075520833334}, {"start": 765.77, "end": 765.87, "word": " F", "probability": 0.60009765625}, {"start": 765.87, "end": 766.03, "word": " of", "probability": 0.8583984375}, {"start": 766.03, "end": 766.39, "word": " X0", "probability": 0.98193359375}, {"start": 766.39, "end": 767.05, "word": " ماعرف", "probability": 0.65234375}, {"start": 767.05, "end": 767.19, "word": " الـ", "probability": 0.710205078125}, {"start": 767.19, "end": 767.31, "word": " F", "probability": 0.95458984375}, {"start": 767.31, "end": 767.49, "word": " of", "probability": 0.8955078125}, {"start": 767.49, "end": 767.91, "word": " X0", "probability": 0.989990234375}, {"start": 767.91, "end": 768.05, "word": " هي", "probability": 0.8291015625}, {"start": 768.05, "end": 768.21, "word": " عبارة", "probability": 0.964599609375}, {"start": 768.21, "end": 768.27, "word": " عن", "probability": 0.97607421875}, {"start": 768.27, "end": 768.37, "word": " الـ", "probability": 0.9453125}, {"start": 768.37, "end": 768.67, "word": " Integration", "probability": 0.7841796875}, {"start": 768.67, "end": 768.83, "word": " من", "probability": 0.29833984375}, {"start": 768.83, "end": 769.51, "word": " LBDT", "probability": 0.7347412109375}], "temperature": 1.0}, {"id": 36, "seek": 79461, "start": 770.05, "end": 794.61, "text": "absolute value لها اللي هو هذه اللي عبارة عن نفسها لان دي موجب اصلا بي ماينوس ايه اذا صار عندي norm of بيساوي اكبره بيساوي اصلا بيساوي اذا في مساوية اللي بعدها نيجي الان ناخد اللي هي", "tokens": [17243, 401, 1169, 2158, 5296, 11296, 13672, 1829, 31439, 29538, 13672, 1829, 6225, 3555, 9640, 3660, 18871, 8717, 36178, 11296, 5296, 7649, 11778, 1829, 3714, 29245, 3555, 1975, 9381, 15040, 4724, 1829, 19446, 9957, 41779, 1975, 1829, 3224, 1975, 15730, 20328, 9640, 18871, 16254, 2026, 295, 4724, 1829, 3794, 995, 45865, 1975, 4117, 26890, 3224, 4724, 1829, 3794, 995, 45865, 1975, 9381, 15040, 4724, 1829, 3794, 995, 45865, 1975, 15730, 8978, 47524, 995, 2407, 10632, 13672, 1829, 39182, 11296, 8717, 1829, 7435, 1829, 2423, 7649, 8717, 47283, 3215, 13672, 1829, 39896], "avg_logprob": -0.29704483306926227, "compression_ratio": 1.7861271676300579, "no_speech_prob": 6.377696990966797e-06, "words": [{"start": 770.05, "end": 770.55, "word": "absolute", "probability": 0.8014322916666666}, {"start": 770.55, "end": 770.81, "word": " value", "probability": 0.98974609375}, {"start": 770.81, "end": 771.11, "word": " لها", "probability": 0.69140625}, {"start": 771.11, "end": 771.71, "word": " اللي", "probability": 0.498870849609375}, {"start": 771.71, "end": 771.91, "word": " هو", "probability": 0.5244140625}, {"start": 771.91, "end": 772.67, "word": " هذه", "probability": 0.513671875}, {"start": 772.67, "end": 773.29, "word": " اللي", "probability": 0.58905029296875}, {"start": 773.29, "end": 773.57, "word": " عبارة", "probability": 0.95263671875}, {"start": 773.57, "end": 773.69, "word": " عن", "probability": 0.978515625}, {"start": 773.69, "end": 773.97, "word": " نفسها", "probability": 0.9108072916666666}, {"start": 773.97, "end": 774.07, "word": " لان", "probability": 0.4781494140625}, {"start": 774.07, "end": 774.19, "word": " دي", "probability": 0.6246337890625}, {"start": 774.19, "end": 774.43, "word": " موجب", "probability": 0.8619791666666666}, {"start": 774.43, "end": 774.69, "word": " اصلا", "probability": 0.86083984375}, {"start": 774.69, "end": 775.39, "word": " بي", "probability": 0.59912109375}, {"start": 775.39, "end": 776.03, "word": " ماينوس", "probability": 0.630615234375}, {"start": 776.03, "end": 776.69, "word": " ايه", "probability": 0.9108072916666666}, {"start": 776.69, "end": 777.25, "word": " اذا", "probability": 0.715576171875}, {"start": 777.25, "end": 777.49, "word": " صار", "probability": 0.836181640625}, {"start": 777.49, "end": 777.79, "word": " عندي", "probability": 0.6641845703125}, {"start": 777.79, "end": 778.13, "word": " norm", "probability": 0.47314453125}, {"start": 778.13, "end": 778.33, "word": " of", "probability": 0.2015380859375}, {"start": 778.33, "end": 778.91, "word": " بيساوي", "probability": 0.71787109375}, {"start": 778.91, "end": 780.03, "word": " اكبره", "probability": 0.7955322265625}, {"start": 780.03, "end": 780.33, "word": " بيساوي", "probability": 0.9693359375}, {"start": 780.33, "end": 780.59, "word": " اصلا", "probability": 0.7527669270833334}, {"start": 780.59, "end": 780.91, "word": " بيساوي", "probability": 0.96376953125}, {"start": 780.91, "end": 781.13, "word": " اذا", "probability": 0.833251953125}, {"start": 781.13, "end": 781.29, "word": " في", "probability": 0.66015625}, {"start": 781.29, "end": 782.27, "word": " مساوية", "probability": 0.8297119140625}, {"start": 782.27, "end": 783.11, "word": " اللي", "probability": 0.836181640625}, {"start": 783.11, "end": 784.15, "word": " بعدها", "probability": 0.661376953125}, {"start": 784.15, "end": 785.83, "word": " نيجي", "probability": 0.911376953125}, {"start": 785.83, "end": 786.59, "word": " الان", "probability": 0.6663818359375}, {"start": 786.59, "end": 794.21, "word": " ناخد", "probability": 0.9920247395833334}, {"start": 794.21, "end": 794.37, "word": " اللي", "probability": 0.970703125}, {"start": 794.37, "end": 794.61, "word": " هي", "probability": 0.89990234375}], "temperature": 1.0}, {"id": 37, "seek": 80539, "start": 795.99, "end": 805.39, "text": "F من continuous function لR بس هنسويها بتساوي قيمة الدالة اللي بدرسلها عند نقطة معينة", "tokens": [37, 9154, 10957, 2445, 5296, 49, 4724, 3794, 8032, 1863, 3794, 45865, 11296, 39894, 3794, 995, 45865, 12174, 32640, 3660, 32748, 6027, 3660, 13672, 1829, 47525, 2288, 3794, 1211, 11296, 43242, 8717, 47432, 3660, 20449, 9957, 3660], "avg_logprob": -0.1579975262284279, "compression_ratio": 1.182608695652174, "no_speech_prob": 4.649162292480469e-06, "words": [{"start": 795.99, "end": 796.85, "word": "F", "probability": 0.348388671875}, {"start": 796.85, "end": 797.05, "word": " من", "probability": 0.623046875}, {"start": 797.05, "end": 797.45, "word": " continuous", "probability": 0.5}, {"start": 797.45, "end": 797.87, "word": " function", "probability": 0.95947265625}, {"start": 797.87, "end": 798.35, "word": " لR", "probability": 0.559326171875}, {"start": 798.35, "end": 799.15, "word": " بس", "probability": 0.87841796875}, {"start": 799.15, "end": 800.11, "word": " هنسويها", "probability": 0.880859375}, {"start": 800.11, "end": 800.89, "word": " بتساوي", "probability": 0.9368896484375}, {"start": 800.89, "end": 802.59, "word": " قيمة", "probability": 0.98681640625}, {"start": 802.59, "end": 803.41, "word": " الدالة", "probability": 0.9601236979166666}, {"start": 803.41, "end": 803.91, "word": " اللي", "probability": 0.845703125}, {"start": 803.91, "end": 804.45, "word": " بدرسلها", "probability": 0.892578125}, {"start": 804.45, "end": 804.63, "word": " عند", "probability": 0.9833984375}, {"start": 804.63, "end": 804.91, "word": " نقطة", "probability": 0.984375}, {"start": 804.91, "end": 805.39, "word": " معينة", "probability": 0.9835611979166666}], "temperature": 1.0}, {"id": 38, "seek": 82779, "start": 806.47, "end": 827.79, "text": "يعني الآن في عندي F باسم C و A و B اللي هو continuous function let F من C و A و B اللي عند الار بي defined by إيش عرفتها؟ F of X بتساوي X عن T note أنا ماخد T note أدى التعريف T note معينة خمسة ستة سبعة نص ربع في الفترة من A و B بحسب قيمة الدالة عند هذا ال T note", "tokens": [40228, 22653, 6024, 48506, 8978, 43242, 1829, 479, 4724, 32277, 2304, 383, 4032, 316, 4032, 363, 13672, 1829, 31439, 10957, 2445, 718, 479, 9154, 383, 4032, 316, 4032, 363, 13672, 1829, 43242, 2423, 9640, 4724, 1829, 7642, 538, 11933, 1829, 8592, 6225, 28480, 2655, 11296, 22807, 479, 295, 1783, 39894, 3794, 995, 45865, 1783, 18871, 314, 3637, 41850, 3714, 47283, 3215, 314, 3637, 5551, 3215, 7578, 16712, 3615, 16572, 5172, 314, 3637, 20449, 9957, 3660, 16490, 2304, 3794, 3660, 8608, 2655, 3660, 8608, 3555, 27884, 8717, 9381, 12602, 3555, 3615, 8978, 27188, 2655, 25720, 9154, 316, 4032, 363, 4724, 5016, 35457, 12174, 32640, 3660, 32748, 6027, 3660, 43242, 23758, 2423, 314, 3637], "avg_logprob": -0.26521017699115046, "compression_ratio": 1.6188524590163935, "no_speech_prob": 1.3709068298339844e-06, "words": [{"start": 806.47, "end": 806.79, "word": "يعني", "probability": 0.935546875}, {"start": 806.79, "end": 807.11, "word": " الآن", "probability": 0.724365234375}, {"start": 807.11, "end": 807.29, "word": " في", "probability": 0.89697265625}, {"start": 807.29, "end": 807.89, "word": " عندي", "probability": 0.5362548828125}, {"start": 807.89, "end": 808.77, "word": " F", "probability": 0.38916015625}, {"start": 808.77, "end": 809.37, "word": " باسم", "probability": 0.6576334635416666}, {"start": 809.37, "end": 809.59, "word": " C", "probability": 0.3525390625}, {"start": 809.59, "end": 809.73, "word": " و", "probability": 0.35107421875}, {"start": 809.73, "end": 809.83, "word": " A", "probability": 0.69482421875}, {"start": 809.83, "end": 809.95, "word": " و", "probability": 0.89306640625}, {"start": 809.95, "end": 810.07, "word": " B", "probability": 0.685546875}, {"start": 810.07, "end": 810.17, "word": " اللي", "probability": 0.878173828125}, {"start": 810.17, "end": 810.27, "word": " هو", "probability": 0.97509765625}, {"start": 810.27, "end": 810.51, "word": " continuous", "probability": 0.2509765625}, {"start": 810.51, "end": 811.07, "word": " function", "probability": 0.93994140625}, {"start": 811.07, "end": 811.59, "word": " let", "probability": 0.2880859375}, {"start": 811.59, "end": 811.79, "word": " F", "probability": 0.77294921875}, {"start": 811.79, "end": 812.01, "word": " من", "probability": 0.90771484375}, {"start": 812.01, "end": 812.81, "word": " C", "probability": 0.953125}, {"start": 812.81, "end": 812.95, "word": " و", "probability": 0.958984375}, {"start": 812.95, "end": 813.09, "word": " A", "probability": 0.80615234375}, {"start": 813.09, "end": 813.19, "word": " و", "probability": 0.9931640625}, {"start": 813.19, "end": 813.29, "word": " B", "probability": 0.7783203125}, {"start": 813.29, "end": 813.43, "word": " اللي", "probability": 0.6634521484375}, {"start": 813.43, "end": 813.57, "word": " عند", "probability": 0.9521484375}, {"start": 813.57, "end": 813.79, "word": " الار", "probability": 0.532470703125}, {"start": 813.79, "end": 813.95, "word": " بي", "probability": 0.7158203125}, {"start": 813.95, "end": 814.35, "word": " defined", "probability": 0.484130859375}, {"start": 814.35, "end": 814.69, "word": " by", "probability": 0.95068359375}, {"start": 814.69, "end": 815.17, "word": " إيش", "probability": 0.7826334635416666}, {"start": 815.17, "end": 816.27, "word": " عرفتها؟", "probability": 0.86171875}, {"start": 816.27, "end": 816.71, "word": " F", "probability": 0.81201171875}, {"start": 816.71, "end": 816.89, "word": " of", "probability": 0.7705078125}, {"start": 816.89, "end": 817.07, "word": " X", "probability": 0.955078125}, {"start": 817.07, "end": 817.75, "word": " بتساوي", "probability": 0.8499755859375}, {"start": 817.75, "end": 818.73, "word": " X", "probability": 0.9814453125}, {"start": 818.73, "end": 819.53, "word": " عن", "probability": 0.7685546875}, {"start": 819.53, "end": 819.81, "word": " T", "probability": 0.73193359375}, {"start": 819.81, "end": 819.99, "word": " note", "probability": 0.259521484375}, {"start": 819.99, "end": 820.15, "word": " أنا", "probability": 0.724609375}, {"start": 820.15, "end": 820.45, "word": " ماخد", "probability": 0.79052734375}, {"start": 820.45, "end": 820.61, "word": " T", "probability": 0.60791015625}, {"start": 820.61, "end": 820.77, "word": " note", "probability": 0.95166015625}, {"start": 820.77, "end": 821.01, "word": " أدى", "probability": 0.74267578125}, {"start": 821.01, "end": 821.45, "word": " التعريف", "probability": 0.9937744140625}, {"start": 821.45, "end": 821.65, "word": " T", "probability": 0.367919921875}, {"start": 821.65, "end": 821.83, "word": " note", "probability": 0.9541015625}, {"start": 821.83, "end": 822.25, "word": " معينة", "probability": 0.9521484375}, {"start": 822.25, "end": 822.63, "word": " خمسة", "probability": 0.8677978515625}, {"start": 822.63, "end": 823.01, "word": " ستة", "probability": 0.8196614583333334}, {"start": 823.01, "end": 823.33, "word": " سبعة", "probability": 0.9474283854166666}, {"start": 823.33, "end": 823.63, "word": " نص", "probability": 0.9541015625}, {"start": 823.63, "end": 823.99, "word": " ربع", "probability": 0.8990885416666666}, {"start": 823.99, "end": 824.11, "word": " في", "probability": 0.92724609375}, {"start": 824.11, "end": 824.43, "word": " الفترة", "probability": 0.9921875}, {"start": 824.43, "end": 824.59, "word": " من", "probability": 0.69970703125}, {"start": 824.59, "end": 824.93, "word": " A", "probability": 0.9501953125}, {"start": 824.93, "end": 825.03, "word": " و", "probability": 0.99072265625}, {"start": 825.03, "end": 825.19, "word": " B", "probability": 0.6865234375}, {"start": 825.19, "end": 826.13, "word": " بحسب", "probability": 0.85791015625}, {"start": 826.13, "end": 826.51, "word": " قيمة", "probability": 0.9967447916666666}, {"start": 826.51, "end": 826.93, "word": " الدالة", "probability": 0.9583333333333334}, {"start": 826.93, "end": 827.11, "word": " عند", "probability": 0.955078125}, {"start": 827.11, "end": 827.29, "word": " هذا", "probability": 0.441650390625}, {"start": 827.29, "end": 827.41, "word": " ال", "probability": 0.62841796875}, {"start": 827.41, "end": 827.51, "word": " T", "probability": 0.64306640625}, {"start": 827.51, "end": 827.79, "word": " note", "probability": 0.93359375}], "temperature": 1.0}, {"id": 39, "seek": 85509, "start": 828.19, "end": 855.09, "text": "وبتكون هي صورة مين ال X under F فبتكون F of X بيساوي X of مين of T not صارت عبارة عن هذه لأن ال X من وين جاية من A و B continuous function من A و B بترمي في ال R فقيمتها أشمالها عبارة عن عدد حقيقي ف X عند أي نقطة اللي هو بيساوي اللي هو عدد حقيقي إذا صارت F of X ترمي وين في ال R طيب F of X بيساوي X of T not where T not is affixed", "tokens": [37746, 2655, 30544, 39896, 20328, 13063, 3660, 3714, 9957, 2423, 1783, 833, 479, 6156, 3555, 2655, 30544, 479, 295, 1783, 4724, 1829, 3794, 995, 45865, 1783, 295, 3714, 9957, 295, 314, 406, 20328, 9640, 2655, 6225, 3555, 9640, 3660, 18871, 29538, 5296, 33456, 2423, 1783, 9154, 4032, 9957, 10874, 995, 10632, 9154, 316, 4032, 363, 10957, 2445, 9154, 316, 4032, 363, 39894, 2288, 2304, 1829, 8978, 2423, 497, 6156, 4587, 32640, 2655, 11296, 5551, 8592, 2304, 6027, 11296, 6225, 3555, 9640, 3660, 18871, 6225, 3215, 3215, 11331, 38436, 38436, 6156, 1783, 43242, 36632, 8717, 47432, 3660, 13672, 1829, 31439, 4724, 1829, 3794, 995, 45865, 13672, 1829, 31439, 6225, 3215, 3215, 11331, 38436, 38436, 11933, 15730, 20328, 9640, 2655, 479, 295, 1783, 6055, 2288, 2304, 1829, 4032, 9957, 8978, 2423, 497, 23032, 1829, 3555, 479, 295, 1783, 4724, 1829, 3794, 995, 45865, 1783, 295, 314, 406, 689, 314, 406, 307, 2096, 40303], "avg_logprob": -0.14710114749246522, "compression_ratio": 1.9115384615384616, "no_speech_prob": 1.6093254089355469e-06, "words": [{"start": 828.19, "end": 828.65, "word": "وبتكون", "probability": 0.7854817708333334}, {"start": 828.65, "end": 828.95, "word": " هي", "probability": 0.77392578125}, {"start": 828.95, "end": 829.39, "word": " صورة", "probability": 0.94482421875}, {"start": 829.39, "end": 829.75, "word": " مين", "probability": 0.619873046875}, {"start": 829.75, "end": 830.39, "word": " ال", "probability": 0.888671875}, {"start": 830.39, "end": 830.57, "word": " X", "probability": 0.55419921875}, {"start": 830.57, "end": 830.87, "word": " under", "probability": 0.403564453125}, {"start": 830.87, "end": 831.19, "word": " F", "probability": 0.90869140625}, {"start": 831.19, "end": 831.99, "word": " فبتكون", "probability": 0.9371337890625}, {"start": 831.99, "end": 832.15, "word": " F", "probability": 0.779296875}, {"start": 832.15, "end": 832.27, "word": " of", "probability": 0.7255859375}, {"start": 832.27, "end": 832.41, "word": " X", "probability": 0.9912109375}, {"start": 832.41, "end": 832.71, "word": " بيساوي", "probability": 0.75361328125}, {"start": 832.71, "end": 832.93, "word": " X", "probability": 0.9677734375}, {"start": 832.93, "end": 833.09, "word": " of", "probability": 0.9228515625}, {"start": 833.09, "end": 833.39, "word": " مين", "probability": 0.97021484375}, {"start": 833.39, "end": 834.09, "word": " of", "probability": 0.66357421875}, {"start": 834.09, "end": 834.25, "word": " T", "probability": 0.8115234375}, {"start": 834.25, "end": 834.39, "word": " not", "probability": 0.265869140625}, {"start": 834.39, "end": 834.83, "word": " صارت", "probability": 0.9147135416666666}, {"start": 834.83, "end": 835.29, "word": " عبارة", "probability": 0.9932861328125}, {"start": 835.29, "end": 835.49, "word": " عن", "probability": 0.9921875}, {"start": 835.49, "end": 835.75, "word": " هذه", "probability": 0.27197265625}, {"start": 835.75, "end": 836.03, "word": " لأن", "probability": 0.805908203125}, {"start": 836.03, "end": 836.23, "word": " ال", "probability": 0.38720703125}, {"start": 836.23, "end": 836.57, "word": " X", "probability": 0.97802734375}, {"start": 836.57, "end": 837.07, "word": " من", "probability": 0.97119140625}, {"start": 837.07, "end": 837.27, "word": " وين", "probability": 0.9658203125}, {"start": 837.27, "end": 837.73, "word": " جاية", "probability": 0.8753255208333334}, {"start": 837.73, "end": 838.63, "word": " من", "probability": 0.7548828125}, {"start": 838.63, "end": 838.83, "word": " A", "probability": 0.81640625}, {"start": 838.83, "end": 838.95, "word": " و", "probability": 0.9501953125}, {"start": 838.95, "end": 839.17, "word": " B", "probability": 0.60986328125}, {"start": 839.17, "end": 839.75, "word": " continuous", "probability": 0.62353515625}, {"start": 839.75, "end": 840.27, "word": " function", "probability": 0.9482421875}, {"start": 840.27, "end": 840.51, "word": " من", "probability": 0.71826171875}, {"start": 840.51, "end": 840.67, "word": " A", "probability": 0.97021484375}, {"start": 840.67, "end": 840.73, "word": " و", "probability": 0.99169921875}, {"start": 840.73, "end": 840.85, "word": " B", "probability": 0.837890625}, {"start": 840.85, "end": 841.23, "word": " بترمي", "probability": 0.78607177734375}, {"start": 841.23, "end": 841.31, "word": " في", "probability": 0.9091796875}, {"start": 841.31, "end": 841.41, "word": " ال", "probability": 0.89208984375}, {"start": 841.41, "end": 841.55, "word": " R", "probability": 0.6728515625}, {"start": 841.55, "end": 842.19, "word": " فقيمتها", "probability": 0.968359375}, {"start": 842.19, "end": 842.95, "word": " أشمالها", "probability": 0.86650390625}, {"start": 842.95, "end": 843.55, "word": " عبارة", "probability": 0.997802734375}, {"start": 843.55, "end": 843.67, "word": " عن", "probability": 0.978515625}, {"start": 843.67, "end": 843.87, "word": " عدد", "probability": 0.9080403645833334}, {"start": 843.87, "end": 844.37, "word": " حقيقي", "probability": 0.9777018229166666}, {"start": 844.37, "end": 844.81, "word": " ف", "probability": 0.9775390625}, {"start": 844.81, "end": 845.07, "word": " X", "probability": 0.787109375}, {"start": 845.07, "end": 845.29, "word": " عند", "probability": 0.9833984375}, {"start": 845.29, "end": 845.45, "word": " أي", "probability": 0.88037109375}, {"start": 845.45, "end": 846.25, "word": " نقطة", "probability": 0.9861653645833334}, {"start": 846.25, "end": 846.43, "word": " اللي", "probability": 0.9658203125}, {"start": 846.43, "end": 846.55, "word": " هو", "probability": 0.98046875}, {"start": 846.55, "end": 846.93, "word": " بيساوي", "probability": 0.9400390625}, {"start": 846.93, "end": 847.09, "word": " اللي", "probability": 0.958984375}, {"start": 847.09, "end": 847.21, "word": " هو", "probability": 0.97265625}, {"start": 847.21, "end": 847.47, "word": " عدد", "probability": 0.9973958333333334}, {"start": 847.47, "end": 847.91, "word": " حقيقي", "probability": 0.9881184895833334}, {"start": 847.91, "end": 848.13, "word": " إذا", "probability": 0.74462890625}, {"start": 848.13, "end": 848.61, "word": " صارت", "probability": 0.9708658854166666}, {"start": 848.61, "end": 849.19, "word": " F", "probability": 0.95849609375}, {"start": 849.19, "end": 849.37, "word": " of", "probability": 0.9716796875}, {"start": 849.37, "end": 849.61, "word": " X", "probability": 0.99658203125}, {"start": 849.61, "end": 850.13, "word": " ترمي", "probability": 0.93798828125}, {"start": 850.13, "end": 850.45, "word": " وين", "probability": 0.8642578125}, {"start": 850.45, "end": 850.65, "word": " في", "probability": 0.98095703125}, {"start": 850.65, "end": 850.77, "word": " ال", "probability": 0.986328125}, {"start": 850.77, "end": 850.97, "word": " R", "probability": 0.9599609375}, {"start": 850.97, "end": 852.03, "word": " طيب", "probability": 0.9563802083333334}, {"start": 852.03, "end": 852.33, "word": " F", "probability": 0.7705078125}, {"start": 852.33, "end": 852.47, "word": " of", "probability": 0.9775390625}, {"start": 852.47, "end": 852.61, "word": " X", "probability": 0.99609375}, {"start": 852.61, "end": 852.91, "word": " بيساوي", "probability": 0.965625}, {"start": 852.91, "end": 853.21, "word": " X", "probability": 0.279541015625}, {"start": 853.21, "end": 853.35, "word": " of", "probability": 0.97021484375}, {"start": 853.35, "end": 853.51, "word": " T", "probability": 0.9833984375}, {"start": 853.51, "end": 853.73, "word": " not", "probability": 0.94873046875}, {"start": 853.73, "end": 853.91, "word": " where", "probability": 0.442138671875}, {"start": 853.91, "end": 854.09, "word": " T", "probability": 0.95654296875}, {"start": 854.09, "end": 854.33, "word": " not", "probability": 0.92431640625}, {"start": 854.33, "end": 854.57, "word": " is", "probability": 0.97216796875}, {"start": 854.57, "end": 855.09, "word": " affixed", "probability": 0.847412109375}], "temperature": 1.0}, {"id": 40, "seek": 87118, "start": 855.9, "end": 871.18, "text": "point in J اللي هي A وB then F is a bounded linear functional ونورم ال F أيش بيساوي؟ بيساوي واحد، هيكون ال bounded linear functional ونورمه هيساوي مين؟ بس الواحد يشوفه كده، بسهل الامر", "tokens": [6053, 294, 508, 13672, 1829, 39896, 316, 4032, 33, 550, 479, 307, 257, 37498, 8213, 11745, 4032, 1863, 13063, 2304, 2423, 479, 36632, 8592, 4724, 1829, 3794, 995, 45865, 22807, 4724, 1829, 3794, 995, 45865, 36764, 24401, 12399, 39896, 30544, 2423, 37498, 8213, 11745, 4032, 1863, 13063, 2304, 3224, 39896, 3794, 995, 45865, 3714, 9957, 22807, 4724, 3794, 2423, 14407, 24401, 7251, 8592, 38688, 3224, 9122, 3215, 3224, 12399, 4724, 3794, 3224, 1211, 2423, 10943, 2288], "avg_logprob": -0.303977260341892, "compression_ratio": 1.5798816568047338, "no_speech_prob": 0.00012791156768798828, "words": [{"start": 855.9, "end": 856.46, "word": "point", "probability": 0.374755859375}, {"start": 856.46, "end": 856.8, "word": " in", "probability": 0.83984375}, {"start": 856.8, "end": 857.14, "word": " J", "probability": 0.4921875}, {"start": 857.14, "end": 857.4, "word": " اللي", "probability": 0.54693603515625}, {"start": 857.4, "end": 857.66, "word": " هي", "probability": 0.91455078125}, {"start": 857.66, "end": 857.94, "word": " A", "probability": 0.7392578125}, {"start": 857.94, "end": 858.3, "word": " وB", "probability": 0.744140625}, {"start": 858.3, "end": 859.36, "word": " then", "probability": 0.47021484375}, {"start": 859.36, "end": 859.86, "word": " F", "probability": 0.6982421875}, {"start": 859.86, "end": 860.14, "word": " is", "probability": 0.9326171875}, {"start": 860.14, "end": 860.28, "word": " a", "probability": 0.533203125}, {"start": 860.28, "end": 860.58, "word": " bounded", "probability": 0.9453125}, {"start": 860.58, "end": 860.96, "word": " linear", "probability": 0.83984375}, {"start": 860.96, "end": 861.54, "word": " functional", "probability": 0.8310546875}, {"start": 861.54, "end": 862.66, "word": " ونورم", "probability": 0.580291748046875}, {"start": 862.66, "end": 862.74, "word": " ال", "probability": 0.57568359375}, {"start": 862.74, "end": 862.9, "word": " F", "probability": 0.76953125}, {"start": 862.9, "end": 863.08, "word": " أيش", "probability": 0.575439453125}, {"start": 863.08, "end": 863.84, "word": " بيساوي؟", "probability": 0.8123779296875}, {"start": 863.84, "end": 864.16, "word": " بيساوي", "probability": 0.967578125}, {"start": 864.16, "end": 864.94, "word": " واحد،", "probability": 0.74072265625}, {"start": 864.94, "end": 865.38, "word": " هيكون", "probability": 0.77587890625}, {"start": 865.38, "end": 865.62, "word": " ال", "probability": 0.72412109375}, {"start": 865.62, "end": 865.94, "word": " bounded", "probability": 0.31298828125}, {"start": 865.94, "end": 866.22, "word": " linear", "probability": 0.6884765625}, {"start": 866.22, "end": 866.64, "word": " functional", "probability": 0.83251953125}, {"start": 866.64, "end": 867.62, "word": " ونورمه", "probability": 0.89931640625}, {"start": 867.62, "end": 868.12, "word": " هيساوي", "probability": 0.899169921875}, {"start": 868.12, "end": 869.0, "word": " مين؟", "probability": 0.80859375}, {"start": 869.0, "end": 869.22, "word": " بس", "probability": 0.9794921875}, {"start": 869.22, "end": 869.52, "word": " الواحد", "probability": 0.9456380208333334}, {"start": 869.52, "end": 869.94, "word": " يشوفه", "probability": 0.9652099609375}, {"start": 869.94, "end": 870.46, "word": " كده،", "probability": 0.8507080078125}, {"start": 870.46, "end": 870.86, "word": " بسهل", "probability": 0.8284912109375}, {"start": 870.86, "end": 871.18, "word": " الامر", "probability": 0.6518147786458334}], "temperature": 1.0}, {"id": 41, "seek": 89978, "start": 871.86, "end": 899.78, "text": "F is a linear functional اللي هي سهلة لإنه اصلا هي عبارة عن F of Alpha X زائد Beta Y أو زائد Y بيساوي أيش قيمتها Alpha X زائد Y عند الـT Note ويساوي Alpha of X عند الـT Note زائد Y عند الـT Note وبيصير Alpha في F زائد اللي هي FY إذا اللي لينيارات، إذا الموضوع اللي لينيارات سهل طيب إذا Y تبعت اللي لينيارات سهلة وهيني حكيتها نيجي نحكي عن ال boundedness", "tokens": [37, 307, 257, 8213, 11745, 13672, 1829, 39896, 8608, 3224, 37977, 5296, 28814, 1863, 3224, 1975, 9381, 15040, 39896, 6225, 3555, 9640, 3660, 18871, 479, 295, 20588, 1783, 30767, 16373, 3215, 33286, 398, 34051, 30767, 16373, 3215, 398, 4724, 1829, 3794, 995, 45865, 5551, 1829, 8592, 12174, 32640, 2655, 11296, 20588, 1783, 30767, 16373, 3215, 398, 43242, 2423, 39184, 51, 11633, 4032, 1829, 3794, 995, 45865, 20588, 295, 1783, 43242, 2423, 39184, 51, 11633, 30767, 16373, 3215, 398, 43242, 2423, 39184, 51, 11633, 4032, 21292, 9381, 13546, 20588, 8978, 479, 30767, 16373, 3215, 13672, 1829, 39896, 479, 56, 11933, 15730, 13672, 1829, 5296, 9957, 1829, 9640, 9307, 12399, 11933, 15730, 9673, 2407, 11242, 45367, 13672, 1829, 5296, 9957, 1829, 9640, 9307, 8608, 3224, 1211, 23032, 1829, 3555, 11933, 15730, 398, 6055, 3555, 34268, 13672, 1829, 5296, 9957, 1829, 9640, 9307, 8608, 3224, 37977, 4032, 3224, 9957, 1829, 11331, 4117, 36081, 11296, 8717, 1829, 7435, 1829, 8717, 5016, 4117, 1829, 18871, 2423, 37498, 1287], "avg_logprob": -0.22141767956498193, "compression_ratio": 2.0223048327137545, "no_speech_prob": 8.344650268554688e-06, "words": [{"start": 871.86, "end": 872.18, "word": "F", "probability": 0.57470703125}, {"start": 872.18, "end": 872.38, "word": " is", "probability": 0.80810546875}, {"start": 872.38, "end": 872.46, "word": " a", "probability": 0.80224609375}, {"start": 872.46, "end": 872.6, "word": " linear", "probability": 0.80078125}, {"start": 872.6, "end": 873.06, "word": " functional", "probability": 0.8037109375}, {"start": 873.06, "end": 873.58, "word": " اللي", "probability": 0.780517578125}, {"start": 873.58, "end": 873.8, "word": " هي", "probability": 0.93994140625}, {"start": 873.8, "end": 874.22, "word": " سهلة", "probability": 0.9191080729166666}, {"start": 874.22, "end": 874.64, "word": " لإنه", "probability": 0.64990234375}, {"start": 874.64, "end": 874.88, "word": " اصلا", "probability": 0.82177734375}, {"start": 874.88, "end": 875.06, "word": " هي", "probability": 0.64990234375}, {"start": 875.06, "end": 875.4, "word": " عبارة", "probability": 0.9949951171875}, {"start": 875.4, "end": 875.68, "word": " عن", "probability": 0.98974609375}, {"start": 875.68, "end": 876.32, "word": " F", "probability": 0.67236328125}, {"start": 876.32, "end": 876.9, "word": " of", "probability": 0.62890625}, {"start": 876.9, "end": 877.08, "word": " Alpha", "probability": 0.2095947265625}, {"start": 877.08, "end": 877.28, "word": " X", "probability": 0.91015625}, {"start": 877.28, "end": 877.58, "word": " زائد", "probability": 0.80078125}, {"start": 877.58, "end": 877.8, "word": " Beta", "probability": 0.9228515625}, {"start": 877.8, "end": 878.14, "word": " Y", "probability": 0.9755859375}, {"start": 878.14, "end": 878.52, "word": " أو", "probability": 0.73876953125}, {"start": 878.52, "end": 878.76, "word": " زائد", "probability": 0.9586588541666666}, {"start": 878.76, "end": 879.0, "word": " Y", "probability": 0.9716796875}, {"start": 879.0, "end": 879.6, "word": " بيساوي", "probability": 0.814404296875}, {"start": 879.6, "end": 879.76, "word": " أيش", "probability": 0.6044108072916666}, {"start": 879.76, "end": 880.22, "word": " قيمتها", "probability": 0.9801025390625}, {"start": 880.22, "end": 880.98, "word": " Alpha", "probability": 0.63671875}, {"start": 880.98, "end": 881.3, "word": " X", "probability": 0.98486328125}, {"start": 881.3, "end": 881.8, "word": " زائد", "probability": 0.9832356770833334}, {"start": 881.8, "end": 882.06, "word": " Y", "probability": 0.99072265625}, {"start": 882.06, "end": 882.3, "word": " عند", "probability": 0.9814453125}, {"start": 882.3, "end": 882.54, "word": " الـT", "probability": 0.544921875}, {"start": 882.54, "end": 882.78, "word": " Note", "probability": 0.20751953125}, {"start": 882.78, "end": 883.48, "word": " ويساوي", "probability": 0.848876953125}, {"start": 883.48, "end": 883.84, "word": " Alpha", "probability": 0.9658203125}, {"start": 883.84, "end": 884.48, "word": " of", "probability": 0.77099609375}, {"start": 884.48, "end": 884.7, "word": " X", "probability": 0.99560546875}, {"start": 884.7, "end": 884.86, "word": " عند", "probability": 0.8740234375}, {"start": 884.86, "end": 885.08, "word": " الـT", "probability": 0.84521484375}, {"start": 885.08, "end": 885.36, "word": " Note", "probability": 0.876953125}, {"start": 885.36, "end": 885.96, "word": " زائد", "probability": 0.9812825520833334}, {"start": 885.96, "end": 886.14, "word": " Y", "probability": 0.99462890625}, {"start": 886.14, "end": 886.32, "word": " عند", "probability": 0.9833984375}, {"start": 886.32, "end": 886.56, "word": " الـT", "probability": 0.9723307291666666}, {"start": 886.56, "end": 886.82, "word": " Note", "probability": 0.9189453125}, {"start": 886.82, "end": 887.6, "word": " وبيصير", "probability": 0.8009033203125}, {"start": 887.6, "end": 887.94, "word": " Alpha", "probability": 0.96044921875}, {"start": 887.94, "end": 888.12, "word": " في", "probability": 0.78515625}, {"start": 888.12, "end": 888.34, "word": " F", "probability": 0.98388671875}, {"start": 888.34, "end": 888.98, "word": " زائد", "probability": 0.984375}, {"start": 888.98, "end": 889.24, "word": " اللي", "probability": 0.6231689453125}, {"start": 889.24, "end": 889.4, "word": " هي", "probability": 0.9443359375}, {"start": 889.4, "end": 890.06, "word": " FY", "probability": 0.65478515625}, {"start": 890.06, "end": 890.44, "word": " إذا", "probability": 0.494140625}, {"start": 890.44, "end": 890.6, "word": " اللي", "probability": 0.646240234375}, {"start": 890.6, "end": 890.92, "word": " لينيارات،", "probability": 0.4966837565104167}, {"start": 890.92, "end": 891.18, "word": " إذا", "probability": 0.906982421875}, {"start": 891.18, "end": 891.46, "word": " الموضوع", "probability": 0.9891357421875}, {"start": 891.46, "end": 891.6, "word": " اللي", "probability": 0.9111328125}, {"start": 891.6, "end": 891.92, "word": " لينيارات", "probability": 0.9173828125}, {"start": 891.92, "end": 892.62, "word": " سهل", "probability": 0.9025065104166666}, {"start": 892.62, "end": 893.52, "word": " طيب", "probability": 0.9427083333333334}, {"start": 893.52, "end": 893.92, "word": " إذا", "probability": 0.85595703125}, {"start": 893.92, "end": 894.2, "word": " Y", "probability": 0.45556640625}, {"start": 894.2, "end": 894.48, "word": " تبعت", "probability": 0.8089192708333334}, {"start": 894.48, "end": 894.64, "word": " اللي", "probability": 0.950439453125}, {"start": 894.64, "end": 894.94, "word": " لينيارات", "probability": 0.97177734375}, {"start": 894.94, "end": 895.42, "word": " سهلة", "probability": 0.9669596354166666}, {"start": 895.42, "end": 896.02, "word": " وهيني", "probability": 0.79736328125}, {"start": 896.02, "end": 896.52, "word": " حكيتها", "probability": 0.9659423828125}, {"start": 896.52, "end": 898.26, "word": " نيجي", "probability": 0.9183349609375}, {"start": 898.26, "end": 898.84, "word": " نحكي", "probability": 0.9901123046875}, {"start": 898.84, "end": 898.98, "word": " عن", "probability": 0.99560546875}, {"start": 898.98, "end": 899.1, "word": " ال", "probability": 0.89306640625}, {"start": 899.1, "end": 899.78, "word": " boundedness", "probability": 0.70556640625}], "temperature": 1.0}, {"id": 42, "seek": 91979, "start": 900.57, "end": 919.79, "text": "for any x element in C01 خدلي ال absolute value لمن؟ لل F of X ال absolute value ل F of X احسبه عبارة عن بساوي ال absolute value لقيمتها ايش قيمتها؟ X of T0 X of T0 اكيد اكيد اكيد قيمة ده اللي عند واحدة من هنا T0", "tokens": [2994, 604, 2031, 4478, 294, 383, 10607, 16490, 3215, 20292, 2423, 8236, 2158, 5296, 27842, 22807, 24976, 479, 295, 1783, 2423, 8236, 2158, 5296, 479, 295, 1783, 1975, 5016, 35457, 3224, 6225, 3555, 9640, 3660, 18871, 4724, 3794, 995, 45865, 2423, 8236, 2158, 5296, 4587, 32640, 2655, 11296, 1975, 1829, 8592, 12174, 32640, 2655, 11296, 22807, 1783, 295, 314, 15, 1783, 295, 314, 15, 1975, 4117, 25708, 1975, 4117, 25708, 1975, 4117, 25708, 12174, 32640, 3660, 11778, 3224, 13672, 1829, 43242, 36764, 24401, 3660, 9154, 34105, 314, 15], "avg_logprob": -0.24631320492605144, "compression_ratio": 1.6836158192090396, "no_speech_prob": 1.7344951629638672e-05, "words": [{"start": 900.57, "end": 900.95, "word": "for", "probability": 0.188720703125}, {"start": 900.95, "end": 901.29, "word": " any", "probability": 0.87841796875}, {"start": 901.29, "end": 901.55, "word": " x", "probability": 0.8544921875}, {"start": 901.55, "end": 901.91, "word": " element", "probability": 0.7177734375}, {"start": 901.91, "end": 902.15, "word": " in", "probability": 0.947265625}, {"start": 902.15, "end": 902.87, "word": " C01", "probability": 0.5072021484375}, {"start": 902.87, "end": 903.91, "word": " خدلي", "probability": 0.5355631510416666}, {"start": 903.91, "end": 904.01, "word": " ال", "probability": 0.87255859375}, {"start": 904.01, "end": 904.29, "word": " absolute", "probability": 0.41845703125}, {"start": 904.29, "end": 904.69, "word": " value", "probability": 0.9892578125}, {"start": 904.69, "end": 905.65, "word": " لمن؟", "probability": 0.635498046875}, {"start": 905.65, "end": 906.01, "word": " لل", "probability": 0.80908203125}, {"start": 906.01, "end": 906.23, "word": " F", "probability": 0.374755859375}, {"start": 906.23, "end": 906.37, "word": " of", "probability": 0.30712890625}, {"start": 906.37, "end": 906.65, "word": " X", "probability": 0.7978515625}, {"start": 906.65, "end": 907.19, "word": " ال", "probability": 0.70458984375}, {"start": 907.19, "end": 907.51, "word": " absolute", "probability": 0.94189453125}, {"start": 907.51, "end": 907.83, "word": " value", "probability": 0.9912109375}, {"start": 907.83, "end": 907.91, "word": " ل", "probability": 0.892578125}, {"start": 907.91, "end": 908.03, "word": " F", "probability": 0.27978515625}, {"start": 908.03, "end": 908.17, "word": " of", "probability": 0.953125}, {"start": 908.17, "end": 908.33, "word": " X", "probability": 0.990234375}, {"start": 908.33, "end": 908.79, "word": " احسبه", "probability": 0.8458251953125}, {"start": 908.79, "end": 909.17, "word": " عبارة", "probability": 0.8929443359375}, {"start": 909.17, "end": 909.35, "word": " عن", "probability": 0.984375}, {"start": 909.35, "end": 909.73, "word": " بساوي", "probability": 0.7852783203125}, {"start": 909.73, "end": 909.83, "word": " ال", "probability": 0.7021484375}, {"start": 909.83, "end": 910.15, "word": " absolute", "probability": 0.97216796875}, {"start": 910.15, "end": 910.63, "word": " value", "probability": 0.99072265625}, {"start": 910.63, "end": 911.25, "word": " لقيمتها", "probability": 0.91533203125}, {"start": 911.25, "end": 911.71, "word": " ايش", "probability": 0.8162434895833334}, {"start": 911.71, "end": 912.63, "word": " قيمتها؟", "probability": 0.9462890625}, {"start": 912.63, "end": 912.99, "word": " X", "probability": 0.814453125}, {"start": 912.99, "end": 913.23, "word": " of", "probability": 0.87548828125}, {"start": 913.23, "end": 913.69, "word": " T0", "probability": 0.6085205078125}, {"start": 913.69, "end": 914.39, "word": " X", "probability": 0.8271484375}, {"start": 914.39, "end": 914.63, "word": " of", "probability": 0.9384765625}, {"start": 914.63, "end": 915.09, "word": " T0", "probability": 0.9736328125}, {"start": 915.09, "end": 915.65, "word": " اكيد", "probability": 0.8597005208333334}, {"start": 915.65, "end": 916.23, "word": " اكيد", "probability": 0.9251302083333334}, {"start": 916.23, "end": 916.89, "word": " اكيد", "probability": 0.92138671875}, {"start": 916.89, "end": 917.79, "word": " قيمة", "probability": 0.9873046875}, {"start": 917.79, "end": 918.13, "word": " ده", "probability": 0.6353759765625}, {"start": 918.13, "end": 918.25, "word": " اللي", "probability": 0.95166015625}, {"start": 918.25, "end": 918.47, "word": " عند", "probability": 0.98486328125}, {"start": 918.47, "end": 918.81, "word": " واحدة", "probability": 0.95947265625}, {"start": 918.81, "end": 918.95, "word": " من", "probability": 0.9951171875}, {"start": 918.95, "end": 919.13, "word": " هنا", "probability": 0.36962890625}, {"start": 919.13, "end": 919.79, "word": " T0", "probability": 0.730224609375}], "temperature": 1.0}, {"id": 43, "seek": 94650, "start": 920.36, "end": 946.5, "text": "إن إذا أكيد أصغر أو يساوي ال maximum على كل الفترة عن T نقطة و T واحد و كل ال T الموجودة في الجيب اللي هو بمثل مين Normal X إذا صارت عبارة عن ال absolute value of F of X أصغر أو يساوي Normal X ومنه ال absolute value of F of X على Normal X لو X لا تساوي سفر أو Normal لا تساوي سفر أصغر أو يساوي واحد ال supremum صار أصغر اللي هو أو يساوي واحد", "tokens": [28814, 1863, 11933, 15730, 5551, 4117, 25708, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 2423, 6674, 15844, 28242, 27188, 2655, 25720, 18871, 314, 8717, 47432, 3660, 4032, 314, 36764, 24401, 4032, 28242, 2423, 314, 9673, 29245, 23328, 3660, 8978, 25724, 1829, 3555, 13672, 1829, 31439, 4724, 2304, 12984, 1211, 3714, 9957, 21277, 1783, 11933, 15730, 20328, 9640, 2655, 6225, 3555, 9640, 3660, 18871, 2423, 8236, 2158, 295, 479, 295, 1783, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 21277, 1783, 4032, 27842, 3224, 2423, 8236, 2158, 295, 479, 295, 1783, 15844, 21277, 1783, 45164, 1783, 20193, 6055, 3794, 995, 45865, 8608, 5172, 2288, 34051, 21277, 20193, 6055, 3794, 995, 45865, 8608, 5172, 2288, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 36764, 24401, 2423, 23710, 449, 20328, 9640, 5551, 9381, 17082, 2288, 13672, 1829, 31439, 34051, 7251, 3794, 995, 45865, 36764, 24401], "avg_logprob": -0.19185798650696165, "compression_ratio": 2.1097560975609757, "no_speech_prob": 2.3186206817626953e-05, "words": [{"start": 920.36, "end": 920.62, "word": "إن", "probability": 0.6922607421875}, {"start": 920.62, "end": 920.76, "word": " إذا", "probability": 0.7177734375}, {"start": 920.76, "end": 921.3, "word": " أكيد", "probability": 0.9501953125}, {"start": 921.3, "end": 921.76, "word": " أصغر", "probability": 0.9857177734375}, {"start": 921.76, "end": 921.94, "word": " أو", "probability": 0.94921875}, {"start": 921.94, "end": 922.42, "word": " يساوي", "probability": 0.958740234375}, {"start": 922.42, "end": 922.52, "word": " ال", "probability": 0.37646484375}, {"start": 922.52, "end": 922.92, "word": " maximum", "probability": 0.63916015625}, {"start": 922.92, "end": 923.22, "word": " على", "probability": 0.626953125}, {"start": 923.22, "end": 923.42, "word": " كل", "probability": 0.99365234375}, {"start": 923.42, "end": 923.94, "word": " الفترة", "probability": 0.9881184895833334}, {"start": 923.94, "end": 924.98, "word": " عن", "probability": 0.2362060546875}, {"start": 924.98, "end": 925.14, "word": " T", "probability": 0.4091796875}, {"start": 925.14, "end": 925.44, "word": " نقطة", "probability": 0.7305501302083334}, {"start": 925.44, "end": 925.62, "word": " و", "probability": 0.810546875}, {"start": 925.62, "end": 925.62, "word": " T", "probability": 0.56005859375}, {"start": 925.62, "end": 925.9, "word": " واحد", "probability": 0.96923828125}, {"start": 925.9, "end": 926.02, "word": " و", "probability": 0.9404296875}, {"start": 926.02, "end": 926.2, "word": " كل", "probability": 0.7119140625}, {"start": 926.2, "end": 926.38, "word": " ال", "probability": 0.81298828125}, {"start": 926.38, "end": 926.54, "word": " T", "probability": 0.78369140625}, {"start": 926.54, "end": 927.02, "word": " الموجودة", "probability": 0.8355712890625}, {"start": 927.02, "end": 927.18, "word": " في", "probability": 0.53662109375}, {"start": 927.18, "end": 928.02, "word": " الجيب", "probability": 0.5606282552083334}, {"start": 928.02, "end": 928.72, "word": " اللي", "probability": 0.867919921875}, {"start": 928.72, "end": 928.84, "word": " هو", "probability": 0.8916015625}, {"start": 928.84, "end": 930.18, "word": " بمثل", "probability": 0.8768310546875}, {"start": 930.18, "end": 930.4, "word": " مين", "probability": 0.639892578125}, {"start": 930.4, "end": 930.7, "word": " Normal", "probability": 0.48388671875}, {"start": 930.7, "end": 930.92, "word": " X", "probability": 0.9501953125}, {"start": 930.92, "end": 931.14, "word": " إذا", "probability": 0.88671875}, {"start": 931.14, "end": 931.62, "word": " صارت", "probability": 0.8836263020833334}, {"start": 931.62, "end": 932.04, "word": " عبارة", "probability": 0.992919921875}, {"start": 932.04, "end": 932.18, "word": " عن", "probability": 0.97509765625}, {"start": 932.18, "end": 932.28, "word": " ال", "probability": 0.58837890625}, {"start": 932.28, "end": 932.58, "word": " absolute", "probability": 0.7119140625}, {"start": 932.58, "end": 932.92, "word": " value", "probability": 0.98681640625}, {"start": 932.92, "end": 933.02, "word": " of", "probability": 0.72998046875}, {"start": 933.02, "end": 933.14, "word": " F", "probability": 0.275146484375}, {"start": 933.14, "end": 933.3, "word": " of", "probability": 0.478759765625}, {"start": 933.3, "end": 933.58, "word": " X", "probability": 0.98876953125}, {"start": 933.58, "end": 934.5, "word": " أصغر", "probability": 0.9874267578125}, {"start": 934.5, "end": 934.68, "word": " أو", "probability": 0.97216796875}, {"start": 934.68, "end": 935.1, "word": " يساوي", "probability": 0.9925537109375}, {"start": 935.1, "end": 935.44, "word": " Normal", "probability": 0.85986328125}, {"start": 935.44, "end": 935.82, "word": " X", "probability": 0.99609375}, {"start": 935.82, "end": 936.58, "word": " ومنه", "probability": 0.8802083333333334}, {"start": 936.58, "end": 936.7, "word": " ال", "probability": 0.92333984375}, {"start": 936.7, "end": 937.0, "word": " absolute", "probability": 0.9345703125}, {"start": 937.0, "end": 937.4, "word": " value", "probability": 0.9892578125}, {"start": 937.4, "end": 937.5, "word": " of", "probability": 0.8759765625}, {"start": 937.5, "end": 937.64, "word": " F", "probability": 0.9482421875}, {"start": 937.64, "end": 937.8, "word": " of", "probability": 0.9609375}, {"start": 937.8, "end": 938.02, "word": " X", "probability": 0.99462890625}, {"start": 938.02, "end": 938.28, "word": " على", "probability": 0.8271484375}, {"start": 938.28, "end": 938.68, "word": " Normal", "probability": 0.83837890625}, {"start": 938.68, "end": 939.14, "word": " X", "probability": 0.994140625}, {"start": 939.14, "end": 939.62, "word": " لو", "probability": 0.10198974609375}, {"start": 939.62, "end": 939.78, "word": " X", "probability": 0.89306640625}, {"start": 939.78, "end": 939.9, "word": " لا", "probability": 0.806640625}, {"start": 939.9, "end": 940.12, "word": " تساوي", "probability": 0.905029296875}, {"start": 940.12, "end": 940.46, "word": " سفر", "probability": 0.7242838541666666}, {"start": 940.46, "end": 941.0, "word": " أو", "probability": 0.818359375}, {"start": 941.0, "end": 941.22, "word": " Normal", "probability": 0.8310546875}, {"start": 941.22, "end": 941.36, "word": " لا", "probability": 0.83837890625}, {"start": 941.36, "end": 941.5, "word": " تساوي", "probability": 0.93408203125}, {"start": 941.5, "end": 941.82, "word": " سفر", "probability": 0.9900716145833334}, {"start": 941.82, "end": 942.32, "word": " أصغر", "probability": 0.97802734375}, {"start": 942.32, "end": 942.46, "word": " أو", "probability": 0.9453125}, {"start": 942.46, "end": 942.96, "word": " يساوي", "probability": 0.990234375}, {"start": 942.96, "end": 943.44, "word": " واحد", "probability": 0.830810546875}, {"start": 943.44, "end": 944.12, "word": " ال", "probability": 0.58984375}, {"start": 944.12, "end": 944.62, "word": " supremum", "probability": 0.6806640625}, {"start": 944.62, "end": 944.86, "word": " صار", "probability": 0.939208984375}, {"start": 944.86, "end": 945.32, "word": " أصغر", "probability": 0.975341796875}, {"start": 945.32, "end": 945.6, "word": " اللي", "probability": 0.81982421875}, {"start": 945.6, "end": 945.8, "word": " هو", "probability": 0.99365234375}, {"start": 945.8, "end": 945.9, "word": " أو", "probability": 0.5654296875}, {"start": 945.9, "end": 946.18, "word": " يساوي", "probability": 0.979736328125}, {"start": 946.18, "end": 946.5, "word": " واحد", "probability": 0.985595703125}], "temperature": 1.0}, {"id": 44, "seek": 96912, "start": 947.06, "end": 969.12, "text": "معايا إذا صار عندي Normal F أصغر أو يساوي واحد كده الفكرة مكررة الآن طب الآن بدنا نجيب اللي هو الأكبر يساوي ونختاره عند نقطة معينة Now choose X note في C, V وB with X note أش بتساوي واحد هيك الحدث بقول أصلا عشان أحصل على الواحد ال absolute value ل F of X", "tokens": [2304, 3615, 995, 25528, 11933, 15730, 20328, 9640, 43242, 1829, 21277, 479, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 36764, 24401, 9122, 3215, 3224, 27188, 4117, 25720, 3714, 37983, 25720, 6024, 48506, 23032, 3555, 6024, 48506, 47525, 8315, 8717, 7435, 1829, 3555, 13672, 1829, 31439, 16247, 4117, 26890, 7251, 3794, 995, 45865, 4032, 1863, 46456, 9640, 3224, 43242, 8717, 47432, 3660, 20449, 9957, 3660, 823, 2826, 1783, 3637, 8978, 383, 11, 691, 4032, 33, 365, 1783, 3637, 5551, 8592, 39894, 3794, 995, 45865, 36764, 24401, 39896, 4117, 21542, 3215, 12984, 4724, 39648, 5551, 9381, 15040, 6225, 8592, 7649, 5551, 5016, 36520, 15844, 2423, 14407, 24401, 2423, 8236, 2158, 5296, 479, 295, 1783], "avg_logprob": -0.24157608125520788, "compression_ratio": 1.580392156862745, "no_speech_prob": 8.225440979003906e-06, "words": [{"start": 947.06, "end": 947.52, "word": "معايا", "probability": 0.780517578125}, {"start": 947.52, "end": 948.3, "word": " إذا", "probability": 0.7666015625}, {"start": 948.3, "end": 948.58, "word": " صار", "probability": 0.80224609375}, {"start": 948.58, "end": 948.88, "word": " عندي", "probability": 0.609375}, {"start": 948.88, "end": 949.14, "word": " Normal", "probability": 0.26806640625}, {"start": 949.14, "end": 949.54, "word": " F", "probability": 0.67041015625}, {"start": 949.54, "end": 950.16, "word": " أصغر", "probability": 0.9696044921875}, {"start": 950.16, "end": 950.44, "word": " أو", "probability": 0.861328125}, {"start": 950.44, "end": 951.08, "word": " يساوي", "probability": 0.9725341796875}, {"start": 951.08, "end": 951.4, "word": " واحد", "probability": 0.884033203125}, {"start": 951.4, "end": 951.72, "word": " كده", "probability": 0.8487955729166666}, {"start": 951.72, "end": 952.62, "word": " الفكرة", "probability": 0.9611002604166666}, {"start": 952.62, "end": 953.24, "word": " مكررة", "probability": 0.9767252604166666}, {"start": 953.24, "end": 953.78, "word": " الآن", "probability": 0.6885986328125}, {"start": 953.78, "end": 954.34, "word": " طب", "probability": 0.6826171875}, {"start": 954.34, "end": 954.74, "word": " الآن", "probability": 0.73876953125}, {"start": 954.74, "end": 955.26, "word": " بدنا", "probability": 0.921630859375}, {"start": 955.26, "end": 955.74, "word": " نجيب", "probability": 0.9903564453125}, {"start": 955.74, "end": 955.92, "word": " اللي", "probability": 0.96435546875}, {"start": 955.92, "end": 956.18, "word": " هو", "probability": 0.98828125}, {"start": 956.18, "end": 957.04, "word": " الأكبر", "probability": 0.83935546875}, {"start": 957.04, "end": 957.46, "word": " يساوي", "probability": 0.9871826171875}, {"start": 957.46, "end": 957.98, "word": " ونختاره", "probability": 0.642529296875}, {"start": 957.98, "end": 958.08, "word": " عند", "probability": 0.93701171875}, {"start": 958.08, "end": 958.36, "word": " نقطة", "probability": 0.9737955729166666}, {"start": 958.36, "end": 958.98, "word": " معينة", "probability": 0.9899088541666666}, {"start": 958.98, "end": 959.6, "word": " Now", "probability": 0.4755859375}, {"start": 959.6, "end": 959.94, "word": " choose", "probability": 0.677734375}, {"start": 959.94, "end": 960.16, "word": " X", "probability": 0.8623046875}, {"start": 960.16, "end": 960.4, "word": " note", "probability": 0.1793212890625}, {"start": 960.4, "end": 960.54, "word": " في", "probability": 0.92333984375}, {"start": 960.54, "end": 960.74, "word": " C,", "probability": 0.478271484375}, {"start": 960.86, "end": 960.96, "word": " V", "probability": 0.37255859375}, {"start": 960.96, "end": 961.34, "word": " وB", "probability": 0.486083984375}, {"start": 961.34, "end": 962.06, "word": " with", "probability": 0.3994140625}, {"start": 962.06, "end": 962.34, "word": " X", "probability": 0.98046875}, {"start": 962.34, "end": 962.62, "word": " note", "probability": 0.6708984375}, {"start": 962.62, "end": 962.76, "word": " أش", "probability": 0.5865478515625}, {"start": 962.76, "end": 963.38, "word": " بتساوي", "probability": 0.94384765625}, {"start": 963.38, "end": 964.14, "word": " واحد", "probability": 0.92724609375}, {"start": 964.14, "end": 964.4, "word": " هيك", "probability": 0.5115966796875}, {"start": 964.4, "end": 964.72, "word": " الحدث", "probability": 0.9142252604166666}, {"start": 964.72, "end": 965.08, "word": " بقول", "probability": 0.85498046875}, {"start": 965.08, "end": 965.48, "word": " أصلا", "probability": 0.8245442708333334}, {"start": 965.48, "end": 966.2, "word": " عشان", "probability": 0.95458984375}, {"start": 966.2, "end": 966.52, "word": " أحصل", "probability": 0.9599609375}, {"start": 966.52, "end": 966.66, "word": " على", "probability": 0.791015625}, {"start": 966.66, "end": 967.0, "word": " الواحد", "probability": 0.9710286458333334}, {"start": 967.0, "end": 967.46, "word": " ال", "probability": 0.78466796875}, {"start": 967.46, "end": 967.76, "word": " absolute", "probability": 0.73681640625}, {"start": 967.76, "end": 968.22, "word": " value", "probability": 0.984375}, {"start": 968.22, "end": 968.38, "word": " ل", "probability": 0.7041015625}, {"start": 968.38, "end": 968.6, "word": " F", "probability": 0.51171875}, {"start": 968.6, "end": 968.8, "word": " of", "probability": 0.57373046875}, {"start": 968.8, "end": 969.12, "word": " X", "probability": 0.9921875}], "temperature": 1.0}, {"id": 45, "seek": 98863, "start": 969.79, "end": 988.63, "text": "أكبر أو يساوي F عند قيمة معينة absolute value على نورم القيمة اللي أخدتها القيمة اللي أخدتها مانا أخدها واحد فنورمها بتساوي واحد واللي فوق أصلا قيمتها absolute F of X هي عبارة عن قيمة X of T naught وفي الأصل ما هي أصلا معرفهاش بتساوي واحد", "tokens": [10721, 4117, 26890, 34051, 7251, 3794, 995, 45865, 479, 43242, 12174, 32640, 3660, 20449, 9957, 3660, 8236, 2158, 15844, 8717, 13063, 2304, 25062, 32640, 3660, 13672, 1829, 5551, 9778, 3215, 2655, 11296, 25062, 32640, 3660, 13672, 1829, 5551, 9778, 3215, 2655, 11296, 3714, 7649, 995, 5551, 9778, 3215, 11296, 36764, 24401, 6156, 1863, 13063, 2304, 11296, 39894, 3794, 995, 45865, 36764, 24401, 4032, 6027, 20292, 6156, 30543, 5551, 9381, 15040, 12174, 32640, 2655, 11296, 8236, 479, 295, 1783, 39896, 6225, 3555, 9640, 3660, 18871, 12174, 32640, 3660, 1783, 295, 314, 13138, 4032, 41185, 16247, 36520, 19446, 39896, 5551, 9381, 15040, 20449, 28480, 3224, 33599, 39894, 3794, 995, 45865, 36764, 24401], "avg_logprob": -0.14512950638393024, "compression_ratio": 1.8942307692307692, "no_speech_prob": 3.5762786865234375e-05, "words": [{"start": 969.79, "end": 970.33, "word": "أكبر", "probability": 0.9498697916666666}, {"start": 970.33, "end": 970.47, "word": " أو", "probability": 0.65380859375}, {"start": 970.47, "end": 970.95, "word": " يساوي", "probability": 0.9013671875}, {"start": 970.95, "end": 971.33, "word": " F", "probability": 0.6416015625}, {"start": 971.33, "end": 971.65, "word": " عند", "probability": 0.96728515625}, {"start": 971.65, "end": 971.99, "word": " قيمة", "probability": 0.9861653645833334}, {"start": 971.99, "end": 972.55, "word": " معينة", "probability": 0.9853515625}, {"start": 972.55, "end": 972.91, "word": " absolute", "probability": 0.430419921875}, {"start": 972.91, "end": 973.35, "word": " value", "probability": 0.9912109375}, {"start": 973.35, "end": 973.53, "word": " على", "probability": 0.7509765625}, {"start": 973.53, "end": 973.89, "word": " نورم", "probability": 0.6841634114583334}, {"start": 973.89, "end": 974.47, "word": " القيمة", "probability": 0.9510091145833334}, {"start": 974.47, "end": 974.57, "word": " اللي", "probability": 0.89990234375}, {"start": 974.57, "end": 975.07, "word": " أخدتها", "probability": 0.9591796875}, {"start": 975.07, "end": 976.29, "word": " القيمة", "probability": 0.9147135416666666}, {"start": 976.29, "end": 976.37, "word": " اللي", "probability": 0.98486328125}, {"start": 976.37, "end": 976.71, "word": " أخدتها", "probability": 0.972265625}, {"start": 976.71, "end": 976.87, "word": " مانا", "probability": 0.6875406901041666}, {"start": 976.87, "end": 977.21, "word": " أخدها", "probability": 0.9345703125}, {"start": 977.21, "end": 977.53, "word": " واحد", "probability": 0.932861328125}, {"start": 977.53, "end": 978.03, "word": " فنورمها", "probability": 0.91279296875}, {"start": 978.03, "end": 978.45, "word": " بتساوي", "probability": 0.8658447265625}, {"start": 978.45, "end": 978.87, "word": " واحد", "probability": 0.94140625}, {"start": 978.87, "end": 979.51, "word": " واللي", "probability": 0.7433268229166666}, {"start": 979.51, "end": 979.87, "word": " فوق", "probability": 0.874755859375}, {"start": 979.87, "end": 980.51, "word": " أصلا", "probability": 0.9186197916666666}, {"start": 980.51, "end": 981.53, "word": " قيمتها", "probability": 0.9891357421875}, {"start": 981.53, "end": 981.87, "word": " absolute", "probability": 0.86181640625}, {"start": 981.87, "end": 982.21, "word": " F", "probability": 0.340576171875}, {"start": 982.21, "end": 982.59, "word": " of", "probability": 0.58544921875}, {"start": 982.59, "end": 982.91, "word": " X", "probability": 0.93310546875}, {"start": 982.91, "end": 983.11, "word": " هي", "probability": 0.90478515625}, {"start": 983.11, "end": 983.43, "word": " عبارة", "probability": 0.9954833984375}, {"start": 983.43, "end": 983.63, "word": " عن", "probability": 0.99658203125}, {"start": 983.63, "end": 984.05, "word": " قيمة", "probability": 0.9969075520833334}, {"start": 984.05, "end": 984.65, "word": " X", "probability": 0.78173828125}, {"start": 984.65, "end": 984.81, "word": " of", "probability": 0.8603515625}, {"start": 984.81, "end": 984.99, "word": " T", "probability": 0.787109375}, {"start": 984.99, "end": 985.25, "word": " naught", "probability": 0.2529296875}, {"start": 985.25, "end": 985.81, "word": " وفي", "probability": 0.928955078125}, {"start": 985.81, "end": 986.19, "word": " الأصل", "probability": 0.927001953125}, {"start": 986.19, "end": 986.33, "word": " ما", "probability": 0.9658203125}, {"start": 986.33, "end": 986.45, "word": " هي", "probability": 0.87109375}, {"start": 986.45, "end": 986.75, "word": " أصلا", "probability": 0.94091796875}, {"start": 986.75, "end": 987.31, "word": " معرفهاش", "probability": 0.77630615234375}, {"start": 987.31, "end": 987.93, "word": " بتساوي", "probability": 0.9814453125}, {"start": 987.93, "end": 988.63, "word": " واحد", "probability": 0.927734375}], "temperature": 1.0}, {"id": 46, "seek": 101283, "start": 988.75, "end": 1012.83, "text": "إذا صار عنده norm لـ F أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أكبر أو أك", "tokens": [28814, 15730, 20328, 9640, 43242, 3224, 2026, 5296, 39184, 479, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 34051, 5551, 4117], "avg_logprob": -0.0765277788374159, "compression_ratio": 12.396825396825397, "no_speech_prob": 2.86102294921875e-06, "words": [{"start": 988.75, "end": 989.03, "word": "إذا", "probability": 0.876708984375}, {"start": 989.03, "end": 989.29, "word": " صار", "probability": 0.92822265625}, {"start": 989.29, "end": 989.57, "word": " عنده", "probability": 0.748046875}, {"start": 989.57, "end": 989.73, "word": " norm", "probability": 0.361083984375}, {"start": 989.73, "end": 989.91, "word": " لـ", "probability": 0.5283203125}, {"start": 989.91, "end": 990.03, "word": " F", "probability": 0.50390625}, {"start": 990.03, "end": 990.37, "word": " أكبر", "probability": 0.9599609375}, {"start": 990.37, "end": 990.49, "word": " أو", "probability": 0.8408203125}, {"start": 990.49, "end": 990.65, "word": " أكبر", "probability": 0.4235432942708333}, {"start": 990.65, "end": 990.65, "word": " أو", "probability": 0.300048828125}, {"start": 990.65, "end": 990.65, "word": " أكبر", "probability": 0.7864583333333334}, {"start": 990.65, "end": 990.65, "word": " أو", "probability": 0.446533203125}, {"start": 990.65, "end": 990.65, "word": " أكبر", "probability": 0.8365885416666666}, {"start": 990.65, "end": 990.71, "word": " أو", "probability": 0.8798828125}, {"start": 990.71, "end": 990.85, "word": " أكبر", "probability": 0.943359375}, {"start": 990.85, "end": 990.91, "word": " أو", "probability": 0.9306640625}, {"start": 990.91, "end": 990.91, "word": " أكبر", "probability": 0.9544270833333334}, {"start": 990.91, "end": 990.93, "word": " أو", "probability": 0.8994140625}, {"start": 990.93, "end": 990.93, "word": " أكبر", "probability": 0.95263671875}, {"start": 990.93, "end": 990.95, "word": " أو", "probability": 0.83056640625}, {"start": 990.95, "end": 990.95, "word": " أكبر", "probability": 0.9464518229166666}, {"start": 990.95, "end": 991.03, "word": " أو", "probability": 0.732421875}, {"start": 991.03, "end": 991.03, "word": " أكبر", "probability": 0.94482421875}, {"start": 991.03, "end": 991.15, "word": " أو", "probability": 0.669921875}, {"start": 991.15, "end": 991.15, "word": " أكبر", "probability": 0.94482421875}, {"start": 991.15, "end": 991.25, "word": " أو", "probability": 0.65771484375}, {"start": 991.25, "end": 991.49, "word": " أكبر", "probability": 0.9498697916666666}, {"start": 991.49, "end": 991.53, "word": " أو", "probability": 0.6806640625}, {"start": 991.53, "end": 991.53, "word": " أكبر", "probability": 0.95751953125}, {"start": 991.53, "end": 991.73, "word": " أو", "probability": 0.7158203125}, {"start": 991.73, "end": 991.79, "word": " أكبر", "probability": 0.9661458333333334}, {"start": 991.79, "end": 991.79, "word": " أو", "probability": 0.76904296875}, {"start": 991.79, "end": 991.83, "word": " أكبر", "probability": 0.9724934895833334}, {"start": 991.83, "end": 991.83, "word": " أو", "probability": 0.80859375}, {"start": 991.83, "end": 991.83, "word": " أكبر", "probability": 0.97802734375}, {"start": 991.83, "end": 994.15, "word": " أو", "probability": 0.84130859375}, {"start": 994.15, "end": 994.15, "word": " أكبر", "probability": 0.9817708333333334}, {"start": 994.15, "end": 994.51, "word": " أو", "probability": 0.8701171875}, {"start": 994.51, "end": 994.71, "word": " أكبر", "probability": 0.984375}, {"start": 994.71, "end": 994.71, "word": " أو", "probability": 0.89013671875}, {"start": 994.71, "end": 994.73, "word": " أكبر", "probability": 0.9861653645833334}, {"start": 994.73, "end": 994.73, "word": " أو", "probability": 0.9072265625}, {"start": 994.73, "end": 994.85, "word": " أكبر", "probability": 0.9874674479166666}, {"start": 994.85, "end": 994.89, "word": " أو", "probability": 0.919921875}, {"start": 994.89, "end": 994.89, "word": " أكبر", "probability": 0.9886067708333334}, {"start": 994.89, "end": 994.89, "word": " أو", "probability": 0.9287109375}, {"start": 994.89, "end": 994.89, "word": " أكبر", "probability": 0.98876953125}, {"start": 994.89, "end": 995.95, "word": " أو", "probability": 0.935546875}, {"start": 995.95, "end": 996.15, "word": " أكبر", "probability": 0.9892578125}, {"start": 996.15, "end": 996.21, "word": " أو", "probability": 0.94287109375}, {"start": 996.21, "end": 996.21, "word": " أكبر", "probability": 0.9895833333333334}, {"start": 996.21, "end": 996.21, "word": " أو", "probability": 0.94775390625}, {"start": 996.21, "end": 996.21, "word": " أكبر", "probability": 0.9900716145833334}, {"start": 996.21, "end": 996.29, "word": " أو", "probability": 0.95068359375}, {"start": 996.29, "end": 996.29, "word": " أكبر", "probability": 0.990234375}, {"start": 996.29, "end": 996.67, "word": " أو", "probability": 0.9541015625}, {"start": 996.67, "end": 997.27, "word": " أكبر", "probability": 0.99072265625}, {"start": 997.27, "end": 998.05, "word": " أو", "probability": 0.95654296875}, {"start": 998.05, "end": 999.03, "word": " أكبر", "probability": 0.9908854166666666}, {"start": 999.03, "end": 999.15, "word": " أو", "probability": 0.9599609375}, {"start": 999.15, "end": 1000.53, "word": " أكبر", "probability": 0.9910481770833334}, {"start": 1000.53, "end": 1000.79, "word": " أو", "probability": 0.96337890625}, {"start": 1000.79, "end": 1001.17, "word": " أكبر", "probability": 0.9912109375}, {"start": 1001.17, "end": 1001.61, "word": " أو", "probability": 0.966796875}, {"start": 1001.61, "end": 1001.85, "word": " أكبر", "probability": 0.99169921875}, {"start": 1001.85, "end": 1001.85, "word": " أو", "probability": 0.96826171875}, {"start": 1001.85, "end": 1002.11, "word": " أكبر", "probability": 0.9918619791666666}, {"start": 1002.11, "end": 1002.11, "word": " أو", "probability": 0.97021484375}, {"start": 1002.11, "end": 1002.53, "word": " أكبر", "probability": 0.9923502604166666}, {"start": 1002.53, "end": 1002.53, "word": " أو", "probability": 0.9716796875}, {"start": 1002.53, "end": 1004.35, "word": " أكبر", "probability": 0.9925130208333334}, {"start": 1004.35, "end": 1004.49, "word": " أو", "probability": 0.97265625}, {"start": 1004.49, "end": 1004.65, "word": " أكبر", "probability": 0.99267578125}, {"start": 1004.65, "end": 1004.65, "word": " أو", "probability": 0.97412109375}, {"start": 1004.65, "end": 1004.65, "word": " أكبر", "probability": 0.9930013020833334}, {"start": 1004.65, "end": 1004.65, "word": " أو", "probability": 0.974609375}, {"start": 1004.65, "end": 1004.65, "word": " أكبر", "probability": 0.9931640625}, {"start": 1004.65, "end": 1004.65, "word": " أو", "probability": 0.97509765625}, {"start": 1004.65, "end": 1004.65, "word": " أكبر", "probability": 0.9933268229166666}, {"start": 1004.65, "end": 1004.65, "word": " أو", "probability": 0.97607421875}, {"start": 1004.65, "end": 1004.65, "word": " أكبر", "probability": 0.99365234375}, {"start": 1004.65, "end": 1004.65, "word": " أو", "probability": 0.97509765625}, {"start": 1004.65, "end": 1004.65, "word": " أكبر", "probability": 0.9938151041666666}, {"start": 1004.65, "end": 1004.65, "word": " أو", "probability": 0.9755859375}, {"start": 1004.65, "end": 1004.65, "word": " أكبر", "probability": 0.9939778645833334}, {"start": 1004.65, "end": 1004.65, "word": " أو", "probability": 0.97509765625}, {"start": 1004.65, "end": 1004.65, "word": " أكبر", "probability": 0.994140625}, {"start": 1004.65, "end": 1004.65, "word": " أو", "probability": 0.97607421875}, {"start": 1004.65, "end": 1004.65, "word": " أكبر", "probability": 0.994140625}, {"start": 1004.65, "end": 1004.65, "word": " أو", "probability": 0.9755859375}, {"start": 1004.65, "end": 1004.87, "word": " أكبر", "probability": 0.9943033854166666}, {"start": 1004.87, "end": 1005.41, "word": " أو", "probability": 0.97607421875}, {"start": 1005.41, "end": 1006.09, "word": " أكبر", "probability": 0.99462890625}, {"start": 1006.09, "end": 1006.65, "word": " أو", "probability": 0.97509765625}, {"start": 1006.65, "end": 1006.65, "word": " أكبر", "probability": 0.9944661458333334}, {"start": 1006.65, "end": 1006.65, "word": " أو", "probability": 0.97509765625}, {"start": 1006.65, "end": 1006.65, "word": " أكبر", "probability": 0.99462890625}, {"start": 1006.65, "end": 1006.65, "word": " أو", "probability": 0.97509765625}, {"start": 1006.65, "end": 1006.65, "word": " أكبر", "probability": 0.99462890625}, {"start": 1006.65, "end": 1006.65, "word": " أو", "probability": 0.9736328125}, {"start": 1006.65, "end": 1006.65, "word": " أكبر", "probability": 0.99462890625}, {"start": 1006.65, "end": 1006.65, "word": " أو", "probability": 0.97265625}, {"start": 1006.65, "end": 1006.65, "word": " أكبر", "probability": 0.9947916666666666}, {"start": 1006.65, "end": 1006.65, "word": " أو", "probability": 0.9716796875}, {"start": 1006.65, "end": 1006.65, "word": " أكبر", "probability": 0.9949544270833334}, {"start": 1006.65, "end": 1006.65, "word": " أو", "probability": 0.97119140625}, {"start": 1006.65, "end": 1006.65, "word": " أكبر", "probability": 0.9949544270833334}, {"start": 1006.65, "end": 1006.65, "word": " أو", "probability": 0.96875}, {"start": 1006.65, "end": 1006.65, "word": " أكبر", "probability": 0.9951171875}, {"start": 1006.65, "end": 1006.91, "word": " أو", "probability": 0.96728515625}, {"start": 1006.91, "end": 1007.09, "word": " أكبر", "probability": 0.9951171875}, {"start": 1007.09, "end": 1012.83, "word": " أو", "probability": 0.96044921875}, {"start": 1012.83, "end": 1012.83, "word": " أك", "probability": 0.995361328125}], "temperature": 1.0}, {"id": 47, "seek": 104348, "start": 1013.68, "end": 1043.48, "text": "be a fixed point in L2 من L2 اللي هو summation كذا norm هال summation المدرستربيع الكل أص نص بدل من I من عند واحد لخمسة أو I من واحد لاتنين I لعند واحد لما لا نهاية يعني مش هيختلف بروحانه عن مين عن الشغلات اللي أثبتناها بالنسبة لـR تكعيب وR تربيع وRم الاخرين let αI be الا بعض الشغلات بسيطة let αI be a fixed point in التربيع and F من التربيع اللي عنده R تربيع be defined by", "tokens": [650, 257, 6806, 935, 294, 441, 17, 9154, 441, 17, 13672, 1829, 31439, 28811, 9122, 15730, 2026, 8032, 6027, 28811, 9673, 3215, 2288, 14851, 2288, 21292, 3615, 2423, 28820, 5551, 9381, 8717, 9381, 47525, 1211, 9154, 286, 9154, 43242, 36764, 24401, 5296, 9778, 2304, 3794, 3660, 34051, 286, 9154, 36764, 24401, 5296, 9307, 1863, 9957, 286, 5296, 3615, 41260, 36764, 24401, 5296, 15042, 20193, 8717, 11296, 10632, 37495, 22653, 37893, 39896, 46456, 46538, 4724, 32887, 5016, 7649, 3224, 18871, 3714, 9957, 18871, 25124, 17082, 1211, 9307, 13672, 1829, 5551, 12984, 3555, 2655, 8315, 11296, 20666, 1863, 35457, 3660, 5296, 39184, 49, 6055, 4117, 3615, 1829, 3555, 4032, 49, 6055, 2288, 21292, 3615, 4032, 49, 2304, 2423, 47283, 2288, 9957, 718, 5691, 40, 312, 42963, 45030, 11242, 25124, 17082, 1211, 9307, 4724, 3794, 1829, 9566, 3660, 718, 5691, 40, 312, 257, 6806, 935, 294, 2423, 2655, 2288, 21292, 3615, 293, 479, 9154, 16712, 2288, 21292, 3615, 13672, 1829, 43242, 3224, 497, 6055, 2288, 21292, 3615, 312, 7642, 538], "avg_logprob": -0.24832588984143167, "compression_ratio": 1.923841059602649, "no_speech_prob": 0.67919921875, "words": [{"start": 1013.68, "end": 1013.96, "word": "be", "probability": 0.1524658203125}, {"start": 1013.96, "end": 1014.24, "word": " a", "probability": 0.94677734375}, {"start": 1014.24, "end": 1014.46, "word": " fixed", "probability": 0.92724609375}, {"start": 1014.46, "end": 1014.88, "word": " point", "probability": 0.96875}, {"start": 1014.88, "end": 1015.04, "word": " in", "probability": 0.9375}, {"start": 1015.04, "end": 1015.46, "word": " L2", "probability": 0.842529296875}, {"start": 1015.46, "end": 1015.68, "word": " من", "probability": 0.03460693359375}, {"start": 1015.68, "end": 1016.28, "word": " L2", "probability": 0.802734375}, {"start": 1016.28, "end": 1017.3, "word": " اللي", "probability": 0.804931640625}, {"start": 1017.3, "end": 1017.48, "word": " هو", "probability": 0.97119140625}, {"start": 1017.48, "end": 1017.96, "word": " summation", "probability": 0.451171875}, {"start": 1017.96, "end": 1018.34, "word": " كذا", "probability": 0.876953125}, {"start": 1018.34, "end": 1018.58, "word": " norm", "probability": 0.72265625}, {"start": 1018.58, "end": 1018.74, "word": " هال", "probability": 0.4775390625}, {"start": 1018.74, "end": 1019.16, "word": " summation", "probability": 0.53857421875}, {"start": 1019.16, "end": 1021.22, "word": " المدرستربيع", "probability": 0.6991838727678571}, {"start": 1021.22, "end": 1021.5, "word": " الكل", "probability": 0.6412353515625}, {"start": 1021.5, "end": 1021.7, "word": " أص", "probability": 0.690673828125}, {"start": 1021.7, "end": 1021.96, "word": " نص", "probability": 0.933349609375}, {"start": 1021.96, "end": 1022.66, "word": " بدل", "probability": 0.794921875}, {"start": 1022.66, "end": 1022.72, "word": " من", "probability": 0.91064453125}, {"start": 1022.72, "end": 1022.86, "word": " I", "probability": 0.81884765625}, {"start": 1022.86, "end": 1022.98, "word": " من", "probability": 0.94287109375}, {"start": 1022.98, "end": 1023.18, "word": " عند", "probability": 0.83154296875}, {"start": 1023.18, "end": 1023.38, "word": " واحد", "probability": 0.780029296875}, {"start": 1023.38, "end": 1023.84, "word": " لخمسة", "probability": 0.94267578125}, {"start": 1023.84, "end": 1024.0, "word": " أو", "probability": 0.5263671875}, {"start": 1024.0, "end": 1024.12, "word": " I", "probability": 0.85546875}, {"start": 1024.12, "end": 1024.2, "word": " من", "probability": 0.96435546875}, {"start": 1024.2, "end": 1024.4, "word": " واحد", "probability": 0.766357421875}, {"start": 1024.4, "end": 1024.74, "word": " لاتنين", "probability": 0.841064453125}, {"start": 1024.74, "end": 1025.06, "word": " I", "probability": 0.8857421875}, {"start": 1025.06, "end": 1025.34, "word": " لعند", "probability": 0.5804036458333334}, {"start": 1025.34, "end": 1025.64, "word": " واحد", "probability": 0.9140625}, {"start": 1025.64, "end": 1025.86, "word": " لما", "probability": 0.6171875}, {"start": 1025.86, "end": 1025.96, "word": " لا", "probability": 0.73095703125}, {"start": 1025.96, "end": 1026.32, "word": " نهاية", "probability": 0.8678385416666666}, {"start": 1026.32, "end": 1026.78, "word": " يعني", "probability": 0.931640625}, {"start": 1026.78, "end": 1026.9, "word": " مش", "probability": 0.98876953125}, {"start": 1026.9, "end": 1027.36, "word": " هيختلف", "probability": 0.9479166666666666}, {"start": 1027.36, "end": 1027.86, "word": " بروحانه", "probability": 0.7727294921875}, {"start": 1027.86, "end": 1028.08, "word": " عن", "probability": 0.98193359375}, {"start": 1028.08, "end": 1028.46, "word": " مين", "probability": 0.875}, {"start": 1028.46, "end": 1029.02, "word": " عن", "probability": 0.86962890625}, {"start": 1029.02, "end": 1029.56, "word": " الشغلات", "probability": 0.9696044921875}, {"start": 1029.56, "end": 1029.72, "word": " اللي", "probability": 0.973388671875}, {"start": 1029.72, "end": 1030.4, "word": " أثبتناها", "probability": 0.9165852864583334}, {"start": 1030.4, "end": 1030.72, "word": " بالنسبة", "probability": 0.986328125}, {"start": 1030.72, "end": 1030.98, "word": " لـR", "probability": 0.5353190104166666}, {"start": 1030.98, "end": 1031.36, "word": " تكعيب", "probability": 0.9587890625}, {"start": 1031.36, "end": 1031.54, "word": " وR", "probability": 0.61376953125}, {"start": 1031.54, "end": 1033.16, "word": " تربيع", "probability": 0.81646728515625}, {"start": 1033.16, "end": 1033.64, "word": " وRم", "probability": 0.739013671875}, {"start": 1033.64, "end": 1034.7, "word": " الاخرين", "probability": 0.8406982421875}, {"start": 1034.7, "end": 1035.02, "word": " let", "probability": 0.83056640625}, {"start": 1035.02, "end": 1035.74, "word": " αI", "probability": 0.6630859375}, {"start": 1035.74, "end": 1036.18, "word": " be", "probability": 0.85498046875}, {"start": 1036.18, "end": 1036.72, "word": " الا", "probability": 0.256591796875}, {"start": 1036.72, "end": 1036.96, "word": " بعض", "probability": 0.971923828125}, {"start": 1036.96, "end": 1037.28, "word": " الشغلات", "probability": 0.9302978515625}, {"start": 1037.28, "end": 1037.6, "word": " بسيطة", "probability": 0.875048828125}, {"start": 1037.6, "end": 1037.8, "word": " let", "probability": 0.94482421875}, {"start": 1037.8, "end": 1038.26, "word": " αI", "probability": 0.96142578125}, {"start": 1038.26, "end": 1038.44, "word": " be", "probability": 0.93505859375}, {"start": 1038.44, "end": 1038.62, "word": " a", "probability": 0.9794921875}, {"start": 1038.62, "end": 1038.82, "word": " fixed", "probability": 0.93505859375}, {"start": 1038.82, "end": 1039.14, "word": " point", "probability": 0.97509765625}, {"start": 1039.14, "end": 1039.28, "word": " in", "probability": 0.92626953125}, {"start": 1039.28, "end": 1039.78, "word": " التربيع", "probability": 0.800390625}, {"start": 1039.78, "end": 1040.42, "word": " and", "probability": 0.951171875}, {"start": 1040.42, "end": 1040.68, "word": " F", "probability": 0.79052734375}, {"start": 1040.68, "end": 1040.94, "word": " من", "probability": 0.98779296875}, {"start": 1040.94, "end": 1041.56, "word": " التربيع", "probability": 0.8631591796875}, {"start": 1041.56, "end": 1041.66, "word": " اللي", "probability": 0.981201171875}, {"start": 1041.66, "end": 1041.9, "word": " عنده", "probability": 0.865234375}, {"start": 1041.9, "end": 1042.0, "word": " R", "probability": 0.8935546875}, {"start": 1042.0, "end": 1042.38, "word": " تربيع", "probability": 0.89599609375}, {"start": 1042.38, "end": 1042.58, "word": " be", "probability": 0.7919921875}, {"start": 1042.58, "end": 1043.1, "word": " defined", "probability": 0.8876953125}, {"start": 1043.1, "end": 1043.48, "word": " by", "probability": 0.986328125}], "temperature": 1.0}, {"id": 48, "seek": 105739, "start": 1044.19, "end": 1057.39, "text": "F of X أيش بتساوي صميم XI I Alpha I I من واحد لعند مين لعند infinity for all X elementين قالتوا بالظبط بالظبط بالظبط زي المثال اللي قبله شوية F of X بيساوي X Dot A", "tokens": [37, 295, 1783, 36632, 8592, 39894, 3794, 995, 45865, 20328, 2304, 32640, 1783, 40, 286, 20588, 286, 286, 9154, 36764, 24401, 5296, 3615, 41260, 3714, 9957, 5296, 3615, 41260, 13202, 337, 439, 1783, 4478, 9957, 50239, 2655, 14407, 20666, 19913, 3555, 9566, 20666, 19913, 3555, 9566, 20666, 19913, 3555, 9566, 30767, 1829, 9673, 12984, 6027, 13672, 1829, 12174, 36150, 3224, 13412, 2407, 10632, 479, 295, 1783, 4724, 1829, 3794, 995, 45865, 1783, 38753, 316], "avg_logprob": -0.31416665951410927, "compression_ratio": 1.4939024390243902, "no_speech_prob": 1.5020370483398438e-05, "words": [{"start": 1044.19, "end": 1044.75, "word": "F", "probability": 0.2325439453125}, {"start": 1044.75, "end": 1044.91, "word": " of", "probability": 0.1575927734375}, {"start": 1044.91, "end": 1045.13, "word": " X", "probability": 0.865234375}, {"start": 1045.13, "end": 1045.31, "word": " أيش", "probability": 0.4554595947265625}, {"start": 1045.31, "end": 1045.93, "word": " بتساوي", "probability": 0.8355712890625}, {"start": 1045.93, "end": 1047.03, "word": " صميم", "probability": 0.4449869791666667}, {"start": 1047.03, "end": 1047.55, "word": " XI", "probability": 0.427490234375}, {"start": 1047.55, "end": 1047.81, "word": " I", "probability": 0.39697265625}, {"start": 1047.81, "end": 1048.07, "word": " Alpha", "probability": 0.6982421875}, {"start": 1048.07, "end": 1048.43, "word": " I", "probability": 0.98095703125}, {"start": 1048.43, "end": 1048.73, "word": " I", "probability": 0.791015625}, {"start": 1048.73, "end": 1048.87, "word": " من", "probability": 0.9306640625}, {"start": 1048.87, "end": 1049.15, "word": " واحد", "probability": 0.86083984375}, {"start": 1049.15, "end": 1049.39, "word": " لعند", "probability": 0.81201171875}, {"start": 1049.39, "end": 1049.77, "word": " مين", "probability": 0.87744140625}, {"start": 1049.77, "end": 1050.51, "word": " لعند", "probability": 0.92041015625}, {"start": 1050.51, "end": 1050.87, "word": " infinity", "probability": 0.345458984375}, {"start": 1050.87, "end": 1051.19, "word": " for", "probability": 0.84033203125}, {"start": 1051.19, "end": 1051.43, "word": " all", "probability": 0.92431640625}, {"start": 1051.43, "end": 1051.67, "word": " X", "probability": 0.865234375}, {"start": 1051.67, "end": 1052.15, "word": " elementين", "probability": 0.39013671875}, {"start": 1052.15, "end": 1052.39, "word": " قالتوا", "probability": 0.79638671875}, {"start": 1052.39, "end": 1053.09, "word": " بالظبط", "probability": 0.925537109375}, {"start": 1053.09, "end": 1053.63, "word": " بالظبط", "probability": 0.96923828125}, {"start": 1053.63, "end": 1054.01, "word": " بالظبط", "probability": 0.9715576171875}, {"start": 1054.01, "end": 1054.13, "word": " زي", "probability": 0.9033203125}, {"start": 1054.13, "end": 1054.41, "word": " المثال", "probability": 0.9729817708333334}, {"start": 1054.41, "end": 1054.51, "word": " اللي", "probability": 0.863525390625}, {"start": 1054.51, "end": 1054.75, "word": " قبله", "probability": 0.755859375}, {"start": 1054.75, "end": 1055.15, "word": " شوية", "probability": 0.8885091145833334}, {"start": 1055.15, "end": 1055.83, "word": " F", "probability": 0.8671875}, {"start": 1055.83, "end": 1055.99, "word": " of", "probability": 0.85888671875}, {"start": 1055.99, "end": 1056.15, "word": " X", "probability": 0.9931640625}, {"start": 1056.15, "end": 1056.53, "word": " بيساوي", "probability": 0.8646484375}, {"start": 1056.53, "end": 1056.81, "word": " X", "probability": 0.98388671875}, {"start": 1056.81, "end": 1057.09, "word": " Dot", "probability": 0.46728515625}, {"start": 1057.09, "end": 1057.39, "word": " A", "probability": 0.29150390625}], "temperature": 1.0}, {"id": 49, "seek": 107943, "start": 1058.25, "end": 1079.43, "text": "الـ X ضد الـ إيش؟ إيش كانت؟ XI واحد Gamma واحد زيدي XI اتنين Gamma اتنين زيدي XI تلاتة Gamma تلاتة الآن إيش ماله هذا؟ من واحد إلى وين إلى الأعلى نهاية إذا الـ linearity و ال boundedness بالظبط زيها then F is bounded linear functional عشان هيك لفت to the reader مبارك الله فيكم و إلى لقاء آخر", "tokens": [6027, 39184, 1783, 48812, 3215, 2423, 39184, 11933, 1829, 8592, 22807, 11933, 1829, 8592, 25961, 2655, 22807, 1783, 40, 36764, 24401, 24723, 1696, 36764, 24401, 30767, 1829, 16254, 1783, 40, 1975, 2655, 1863, 9957, 24723, 1696, 1975, 2655, 1863, 9957, 30767, 1829, 16254, 1783, 40, 6055, 1211, 9307, 3660, 24723, 1696, 6055, 1211, 9307, 3660, 6024, 48506, 11933, 1829, 8592, 3714, 6027, 3224, 23758, 22807, 9154, 36764, 24401, 30731, 4032, 9957, 30731, 16247, 3615, 23942, 8717, 11296, 10632, 11933, 15730, 2423, 39184, 8213, 507, 4032, 2423, 37498, 1287, 20666, 19913, 3555, 9566, 30767, 1829, 11296, 550, 479, 307, 37498, 8213, 11745, 6225, 8592, 7649, 39896, 4117, 5296, 5172, 2655, 281, 264, 15149, 3714, 3555, 9640, 4117, 21984, 8978, 24793, 4032, 30731, 5296, 4587, 16606, 19753, 34740], "avg_logprob": -0.23794290751922786, "compression_ratio": 1.7294117647058824, "no_speech_prob": 2.205371856689453e-06, "words": [{"start": 1058.25, "end": 1058.55, "word": "الـ", "probability": 0.7197265625}, {"start": 1058.55, "end": 1058.61, "word": " X", "probability": 0.6953125}, {"start": 1058.61, "end": 1058.85, "word": " ضد", "probability": 0.938232421875}, {"start": 1058.85, "end": 1059.07, "word": " الـ", "probability": 0.437255859375}, {"start": 1059.07, "end": 1059.23, "word": " إيش؟", "probability": 0.6745452880859375}, {"start": 1059.23, "end": 1059.35, "word": " إيش", "probability": 0.93115234375}, {"start": 1059.35, "end": 1059.97, "word": " كانت؟", "probability": 0.8831380208333334}, {"start": 1059.97, "end": 1060.29, "word": " XI", "probability": 0.2613525390625}, {"start": 1060.29, "end": 1060.73, "word": " واحد", "probability": 0.805908203125}, {"start": 1060.73, "end": 1061.21, "word": " Gamma", "probability": 0.56439208984375}, {"start": 1061.21, "end": 1061.49, "word": " واحد", "probability": 0.976806640625}, {"start": 1061.49, "end": 1061.77, "word": " زيدي", "probability": 0.6688639322916666}, {"start": 1061.77, "end": 1062.01, "word": " XI", "probability": 0.869384765625}, {"start": 1062.01, "end": 1062.23, "word": " اتنين", "probability": 0.81005859375}, {"start": 1062.23, "end": 1062.49, "word": " Gamma", "probability": 0.939208984375}, {"start": 1062.49, "end": 1062.67, "word": " اتنين", "probability": 0.948974609375}, {"start": 1062.67, "end": 1062.91, "word": " زيدي", "probability": 0.9378255208333334}, {"start": 1062.91, "end": 1063.15, "word": " XI", "probability": 0.975341796875}, {"start": 1063.15, "end": 1063.43, "word": " تلاتة", "probability": 0.85986328125}, {"start": 1063.43, "end": 1063.71, "word": " Gamma", "probability": 0.9794921875}, {"start": 1063.71, "end": 1064.13, "word": " تلاتة", "probability": 0.9925537109375}, {"start": 1064.13, "end": 1064.79, "word": " الآن", "probability": 0.628173828125}, {"start": 1064.79, "end": 1065.03, "word": " إيش", "probability": 0.8119303385416666}, {"start": 1065.03, "end": 1065.31, "word": " ماله", "probability": 0.81982421875}, {"start": 1065.31, "end": 1065.53, "word": " هذا؟", "probability": 0.7958984375}, {"start": 1065.53, "end": 1065.67, "word": " من", "probability": 0.98193359375}, {"start": 1065.67, "end": 1066.03, "word": " واحد", "probability": 0.982421875}, {"start": 1066.03, "end": 1066.21, "word": " إلى", "probability": 0.9580078125}, {"start": 1066.21, "end": 1066.77, "word": " وين", "probability": 0.962890625}, {"start": 1066.77, "end": 1067.25, "word": " إلى", "probability": 0.75341796875}, {"start": 1067.25, "end": 1067.51, "word": " الأعلى", "probability": 0.6924641927083334}, {"start": 1067.51, "end": 1067.75, "word": " نهاية", "probability": 0.7862955729166666}, {"start": 1067.75, "end": 1067.97, "word": " إذا", "probability": 0.5491943359375}, {"start": 1067.97, "end": 1068.25, "word": " الـ", "probability": 0.732666015625}, {"start": 1068.25, "end": 1068.85, "word": " linearity", "probability": 0.684326171875}, {"start": 1068.85, "end": 1068.99, "word": " و", "probability": 0.5869140625}, {"start": 1068.99, "end": 1069.07, "word": " ال", "probability": 0.666015625}, {"start": 1069.07, "end": 1069.75, "word": " boundedness", "probability": 0.7125244140625}, {"start": 1069.75, "end": 1070.59, "word": " بالظبط", "probability": 0.9688720703125}, {"start": 1070.59, "end": 1071.13, "word": " زيها", "probability": 0.9947916666666666}, {"start": 1071.13, "end": 1071.83, "word": " then", "probability": 0.55419921875}, {"start": 1071.83, "end": 1072.13, "word": " F", "probability": 0.86083984375}, {"start": 1072.13, "end": 1072.37, "word": " is", "probability": 0.9443359375}, {"start": 1072.37, "end": 1072.89, "word": " bounded", "probability": 0.9521484375}, {"start": 1072.89, "end": 1073.61, "word": " linear", "probability": 0.9052734375}, {"start": 1073.61, "end": 1074.19, "word": " functional", "probability": 0.79541015625}, {"start": 1074.19, "end": 1074.99, "word": " عشان", "probability": 0.9513346354166666}, {"start": 1074.99, "end": 1075.39, "word": " هيك", "probability": 0.963134765625}, {"start": 1075.39, "end": 1076.05, "word": " لفت", "probability": 0.7613118489583334}, {"start": 1076.05, "end": 1076.19, "word": " to", "probability": 0.6865234375}, {"start": 1076.19, "end": 1076.33, "word": " the", "probability": 0.8623046875}, {"start": 1076.33, "end": 1076.71, "word": " reader", "probability": 0.978515625}, {"start": 1076.71, "end": 1077.59, "word": " مبارك", "probability": 0.864501953125}, {"start": 1077.59, "end": 1077.79, "word": " الله", "probability": 0.9619140625}, {"start": 1077.79, "end": 1078.19, "word": " فيكم", "probability": 0.9599609375}, {"start": 1078.19, "end": 1078.37, "word": " و", "probability": 0.95263671875}, {"start": 1078.37, "end": 1078.59, "word": " إلى", "probability": 0.84765625}, {"start": 1078.59, "end": 1079.01, "word": " لقاء", "probability": 0.84521484375}, {"start": 1079.01, "end": 1079.43, "word": " آخر", "probability": 0.798095703125}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1079.844, "duration_after_vad": 1063.0400000000004}
\ No newline at end of file