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"probability": 0.9733072916666666}, {"start": 367.92, "end": 368.7, "word": " is", "probability": 0.4912109375}, {"start": 368.7, "end": 369.06, "word": " true", "probability": 0.892578125}, {"start": 369.06, "end": 369.28, "word": " for", "probability": 0.306396484375}, {"start": 369.28, "end": 369.6, "word": " N", "probability": 0.55029296875}, {"start": 369.6, "end": 370.18, "word": " بتساوي", "probability": 0.9560546875}, {"start": 370.18, "end": 370.64, "word": " 1", "probability": 0.806640625}, {"start": 370.64, "end": 371.88, "word": " نفترض", "probability": 0.9395751953125}, {"start": 371.88, "end": 372.34, "word": " الآن", "probability": 0.83349609375}, {"start": 372.34, "end": 372.86, "word": " suppose", "probability": 0.71044921875}], "temperature": 1.0}, {"id": 16, "seek": 38724, "start": 374.56, "end": 387.24, "text": "by induction بتهدي suppose that الهو star هذي is true for n ايش بتساوي n بتساوي k معناته صارت ال S K", "tokens": [2322, 33371, 39894, 3224, 16254, 7297, 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0.722412109375}, {"start": 1078.88, "end": 1079.44, "word": " حسابات", "probability": 0.9075927734375}, {"start": 1079.44, "end": 1079.78, "word": " نفس", "probability": 0.9921875}, {"start": 1079.78, "end": 1080.32, "word": " الأسلوب", "probability": 0.9190673828125}, {"start": 1080.32, "end": 1081.22, "word": " بتطلع", "probability": 0.9005126953125}, {"start": 1081.22, "end": 1081.62, "word": " عندى", "probability": 0.923583984375}, {"start": 1081.62, "end": 1081.86, "word": " اللي", "probability": 0.809814453125}, {"start": 1081.86, "end": 1082.26, "word": " هي", "probability": 0.85302734375}, {"start": 1082.26, "end": 1083.0, "word": " هذه", "probability": 0.8232421875}, {"start": 1083.0, "end": 1083.6, "word": " صحيحة", "probability": 0.99091796875}, {"start": 1083.6, "end": 1083.88, "word": " for", "probability": 0.34619140625}, {"start": 1083.88, "end": 1084.12, "word": " mean", "probability": 0.47021484375}, {"start": 1084.12, "end": 1084.68, "word": " برضه", "probability": 0.9825846354166666}], "temperature": 1.0}, {"id": 46, "seek": 110897, "start": 1085.03, "end": 1108.97, "text": "for an بتساوي k زائد واحد إذا هذا صار المقدار صحيح دائما for mean for any k for any n element in n الان واضح ان الخطوات مشابهة لخطوات ال exponential نيجي الآن قصّل n prime", "tokens": [2994, 364, 39894, 3794, 995, 45865, 350, 30767, 16373, 3215, 36764, 24401, 11933, 15730, 23758, 20328, 9640, 9673, 28543, 9640, 20328, 5016, 1829, 5016, 11778, 16373, 15042, 337, 914, 337, 604, 350, 337, 604, 297, 4478, 294, 297, 2423, 7649, 4032, 46958, 5016, 16472, 33962, 9566, 2407, 9307, 37893, 16758, 3224, 3660, 5296, 9778, 9566, 2407, 9307, 2423, 21510, 8717, 1829, 7435, 1829, 6024, 48506, 12174, 9381, 11703, 1211, 297, 5835], "avg_logprob": -0.3470052228205734, "compression_ratio": 1.4540229885057472, "no_speech_prob": 1.7881393432617188e-06, "words": [{"start": 1085.03, "end": 1085.43, "word": "for", "probability": 0.482666015625}, {"start": 1085.43, "end": 1085.65, "word": " an", "probability": 0.0791015625}, {"start": 1085.65, "end": 1086.13, "word": " بتساوي", "probability": 0.6683349609375}, {"start": 1086.13, "end": 1086.31, "word": " k", "probability": 0.35302734375}, {"start": 1086.31, "end": 1086.69, "word": " زائد", "probability": 0.7581380208333334}, {"start": 1086.69, "end": 1087.01, "word": " واحد", "probability": 0.849609375}, {"start": 1087.01, "end": 1087.25, "word": " إذا", "probability": 0.5628662109375}, {"start": 1087.25, "end": 1087.59, "word": " هذا", "probability": 0.51416015625}, {"start": 1087.59, "end": 1087.89, "word": " صار", "probability": 0.957763671875}, {"start": 1087.89, "end": 1088.51, "word": " المقدار", "probability": 0.94873046875}, {"start": 1088.51, "end": 1089.15, "word": " صحيح", "probability": 0.9942626953125}, {"start": 1089.15, "end": 1089.79, "word": " دائما", "probability": 0.88330078125}, {"start": 1089.79, "end": 1090.53, "word": " for", "probability": 0.8671875}, {"start": 1090.53, "end": 1091.05, "word": " mean", "probability": 0.33935546875}, {"start": 1091.05, "end": 1092.05, "word": " for", "probability": 0.9052734375}, {"start": 1092.05, "end": 1092.67, "word": " any", "probability": 0.904296875}, {"start": 1092.67, "end": 1093.49, "word": " k", "probability": 0.5146484375}, {"start": 1093.49, "end": 1094.75, "word": " for", "probability": 0.90283203125}, {"start": 1094.75, "end": 1095.05, "word": " any", "probability": 0.9111328125}, {"start": 1095.05, "end": 1095.41, "word": " n", "probability": 0.32861328125}, {"start": 1095.41, "end": 1096.17, "word": " element", "probability": 0.8701171875}, {"start": 1096.17, "end": 1096.51, "word": " in", "probability": 0.9326171875}, {"start": 1096.51, "end": 1096.85, "word": " n", "probability": 0.311767578125}, {"start": 1096.85, "end": 1098.07, "word": " الان", "probability": 0.7568359375}, {"start": 1098.07, "end": 1099.45, "word": " واضح", "probability": 0.9611002604166666}, {"start": 1099.45, "end": 1100.43, "word": " ان", "probability": 0.427001953125}, {"start": 1100.43, "end": 1101.23, "word": " الخطوات", "probability": 0.955810546875}, {"start": 1101.23, "end": 1102.01, "word": " مشابهة", "probability": 0.916015625}, {"start": 1102.01, "end": 1102.73, "word": " لخطوات", "probability": 0.9619140625}, {"start": 1102.73, "end": 1102.89, "word": " ال", "probability": 0.69677734375}, {"start": 1102.89, "end": 1103.75, "word": " exponential", "probability": 0.46728515625}, {"start": 1103.75, "end": 1105.85, "word": " نيجي", "probability": 0.84228515625}, {"start": 1105.85, "end": 1106.31, "word": " الآن", "probability": 0.725341796875}, {"start": 1106.31, "end": 1108.29, "word": " قصّل", "probability": 0.40655517578125}, {"start": 1108.29, "end": 1108.51, "word": " n", "probability": 0.34521484375}, {"start": 1108.51, "end": 1108.97, "word": " prime", "probability": 0.365234375}], "temperature": 1.0}, {"id": 47, "seek": 112043, "start": 1118.77, "end": 1120.43, "text": "نجي الآن", "tokens": [1863, 7435, 1829, 6024, 48506], "avg_logprob": -1.0065104564030964, "compression_ratio": 0.625, "no_speech_prob": 3.2782554626464844e-06, "words": [{"start": 1118.77, "end": 1120.17, "word": "نجي", "probability": 0.37615966796875}, {"start": 1120.17, "end": 1120.43, "word": " الآن", "probability": 0.6202392578125}], "temperature": 1.0}, {"id": 48, "seek": 114820, "start": 1122.32, "end": 1148.2, "text": "وين رايح؟ زي اللي بكونت رايحي الأيام الـ exponential هثبتلك أن الـ sequence هذه converged uniformly وهذه طبعا هتصبح converged uniformly automatic فهتصبح اللي هي differentiable لأنه بيصير طبقة النظرية اللي هي تبعها الـ differentiability بيصير عند مادام differentiable اللي هي ال derivative اللي لها exist و هتكون ال derivative متحقق الشروط و بيكون خلاص نعم نشوف أش بقول طيب الآن", "tokens": [2407, 9957, 12602, 47302, 5016, 22807, 30767, 1829, 13672, 1829, 4724, 30544, 2655, 12602, 47302, 5016, 1829, 16247, 1829, 10943, 2423, 39184, 21510, 8032, 12984, 3555, 2655, 23275, 14739, 2423, 39184, 8310, 29538, 9652, 3004, 48806, 37037, 24192, 23032, 3555, 3615, 995, 8032, 2655, 9381, 49628, 9652, 3004, 48806, 12509, 6156, 3224, 2655, 9381, 49628, 13672, 1829, 39896, 819, 9364, 5296, 33456, 3224, 4724, 1829, 9381, 13546, 23032, 3555, 28671, 28239, 19913, 2288, 10632, 13672, 1829, 39896, 6055, 3555, 3615, 11296, 2423, 39184, 27372, 2310, 4724, 1829, 9381, 13546, 43242, 3714, 18513, 10943, 819, 9364, 13672, 1829, 39896, 2423, 13760, 13672, 1829, 5296, 11296, 2514, 4032, 8032, 2655, 30544, 2423, 13760, 44650, 5016, 4587, 4587, 25124, 32887, 9566, 4032, 4724, 1829, 30544, 16490, 1211, 33546, 8717, 25957, 8717, 8592, 38688, 5551, 8592, 4724, 39648, 23032, 1829, 3555, 6024, 48506], "avg_logprob": -0.34107142005647934, "compression_ratio": 1.8729096989966556, "no_speech_prob": 4.112720489501953e-06, "words": [{"start": 1122.32, "end": 1122.94, "word": "وين", "probability": 0.21954345703125}, {"start": 1122.94, "end": 1123.48, "word": " رايح؟", "probability": 0.78619384765625}, {"start": 1123.48, "end": 1123.68, "word": " زي", "probability": 0.72265625}, {"start": 1123.68, "end": 1123.76, "word": " اللي", "probability": 0.80029296875}, {"start": 1123.76, "end": 1124.1, "word": " بكونت", "probability": 0.556884765625}, {"start": 1124.1, "end": 1124.52, "word": " رايحي", "probability": 0.8104248046875}, {"start": 1124.52, "end": 1124.86, "word": " الأيام", "probability": 0.719970703125}, {"start": 1124.86, "end": 1125.02, "word": " الـ", "probability": 0.8681640625}, {"start": 1125.02, "end": 1125.5, "word": " exponential", "probability": 0.6494140625}, {"start": 1125.5, "end": 1126.64, "word": " هثبتلك", "probability": 0.85078125}, {"start": 1126.64, "end": 1126.8, "word": " أن", "probability": 0.46337890625}, {"start": 1126.8, "end": 1127.58, "word": " الـ", "probability": 0.593505859375}, {"start": 1127.58, "end": 1128.26, "word": " sequence", "probability": 0.91064453125}, {"start": 1128.26, "end": 1128.54, "word": " هذه", "probability": 0.609375}, {"start": 1128.54, "end": 1129.06, "word": " converged", "probability": 0.4241943359375}, {"start": 1129.06, "end": 1129.58, "word": " uniformly", "probability": 0.97802734375}, {"start": 1129.58, "end": 1130.64, "word": " وهذه", "probability": 0.7734375}, {"start": 1130.64, "end": 1131.08, "word": " طبعا", "probability": 0.8662109375}, {"start": 1131.08, "end": 1131.4, "word": " هتصبح", "probability": 0.773681640625}, {"start": 1131.4, "end": 1131.8, "word": " converged", "probability": 0.80517578125}, {"start": 1131.8, "end": 1132.22, "word": " uniformly", "probability": 0.98291015625}, {"start": 1132.22, "end": 1132.64, "word": " automatic", "probability": 0.41650390625}, {"start": 1132.64, "end": 1133.54, "word": " فهتصبح", "probability": 0.92490234375}, {"start": 1133.54, "end": 1133.64, "word": " اللي", "probability": 0.758056640625}, {"start": 1133.64, "end": 1133.76, "word": " هي", "probability": 0.74169921875}, {"start": 1133.76, "end": 1134.38, "word": " differentiable", "probability": 0.86572265625}, {"start": 1134.38, "end": 1134.72, "word": " لأنه", "probability": 0.8611653645833334}, {"start": 1134.72, "end": 1135.0, "word": " بيصير", "probability": 0.7520751953125}, {"start": 1135.0, "end": 1135.84, "word": " طبقة", "probability": 0.9130859375}, {"start": 1135.84, "end": 1136.36, "word": " النظرية", "probability": 0.9395751953125}, {"start": 1136.36, "end": 1136.54, "word": " اللي", "probability": 0.936279296875}, {"start": 1136.54, "end": 1136.66, "word": " هي", "probability": 0.921875}, {"start": 1136.66, "end": 1137.02, "word": " تبعها", "probability": 0.63995361328125}, {"start": 1137.02, "end": 1137.1, "word": " الـ", "probability": 0.62548828125}, {"start": 1137.1, "end": 1137.86, "word": " differentiability", "probability": 0.671875}, {"start": 1137.86, "end": 1138.76, "word": " بيصير", "probability": 0.8829345703125}, {"start": 1138.76, "end": 1138.92, "word": " عند", "probability": 0.830078125}, {"start": 1138.92, "end": 1139.22, "word": " مادام", "probability": 0.58154296875}, {"start": 1139.22, "end": 1139.88, "word": " differentiable", "probability": 0.81396484375}, {"start": 1139.88, "end": 1140.46, "word": " اللي", "probability": 0.656005859375}, {"start": 1140.46, "end": 1140.78, "word": " هي", "probability": 0.95361328125}, {"start": 1140.78, "end": 1141.2, "word": " ال", "probability": 0.66552734375}, {"start": 1141.2, "end": 1143.1, "word": " derivative", "probability": 0.5712890625}, {"start": 1143.1, "end": 1143.36, "word": " اللي", "probability": 0.843017578125}, {"start": 1143.36, "end": 1143.46, "word": " لها", "probability": 0.59930419921875}, {"start": 1143.46, "end": 1143.76, "word": " exist", "probability": 0.57470703125}, {"start": 1143.76, "end": 1143.9, "word": " و", "probability": 0.68359375}, {"start": 1143.9, "end": 1144.16, "word": " هتكون", "probability": 0.764404296875}, {"start": 1144.16, "end": 1144.28, "word": " ال", "probability": 0.8818359375}, {"start": 1144.28, "end": 1144.58, "word": " derivative", "probability": 0.93310546875}, {"start": 1144.58, "end": 1145.08, "word": " متحقق", "probability": 0.81005859375}, {"start": 1145.08, "end": 1145.46, "word": " الشروط", "probability": 0.8860677083333334}, {"start": 1145.46, "end": 1145.54, "word": " و", "probability": 0.77099609375}, {"start": 1145.54, "end": 1145.76, "word": " بيكون", "probability": 0.6139729817708334}, {"start": 1145.76, "end": 1146.12, "word": " خلاص", "probability": 0.8330078125}, {"start": 1146.12, "end": 1146.32, "word": " نعم", "probability": 0.579345703125}, {"start": 1146.32, "end": 1146.66, "word": " نشوف", "probability": 0.7850748697916666}, {"start": 1146.66, "end": 1146.78, "word": " أش", "probability": 0.640625}, {"start": 1146.78, "end": 1147.12, "word": " بقول", "probability": 0.9033203125}, {"start": 1147.12, "end": 1147.96, "word": " طيب", "probability": 0.9415690104166666}, {"start": 1147.96, "end": 1148.2, "word": " الآن", "probability": 0.613525390625}], "temperature": 1.0}, {"id": 49, "seek": 117693, "start": 1148.95, "end": 1176.93, "text": "بعد ما طلعنا هدولة let a أكبر من صفر b given نفس الخطوات تبعت ال exponential then if الabsolute value of x أصغر بسوء a and m أكبر من n أكبر من 2a يعني بتداخد اللي هي الامات لأكبر من n و أكبر من 2a يعني الآن أنا بشتغل عالين يا جماعة الفترة من ناقص a لعند a وأخدت ال a arbitrarily أكبر من صفر لكن fixed الان we have", "tokens": [3555, 22488, 19446, 23032, 1211, 3615, 8315, 8032, 3215, 12610, 3660, 718, 257, 5551, 4117, 26890, 9154, 20328, 5172, 2288, 272, 2212, 8717, 36178, 33962, 9566, 2407, 9307, 6055, 3555, 34268, 2423, 21510, 550, 498, 2423, 17243, 401, 1169, 2158, 295, 2031, 5551, 9381, 17082, 2288, 4724, 3794, 2407, 38207, 257, 293, 275, 5551, 4117, 26890, 9154, 297, 5551, 4117, 26890, 9154, 568, 64, 37495, 22653, 39894, 3215, 47283, 3215, 13672, 1829, 39896, 2423, 10943, 9307, 5296, 10721, 4117, 26890, 9154, 297, 4032, 5551, 4117, 26890, 9154, 568, 64, 37495, 22653, 6024, 48506, 41850, 4724, 8592, 2655, 17082, 1211, 6225, 6027, 9957, 35186, 10874, 15042, 27884, 27188, 2655, 25720, 9154, 8717, 995, 4587, 9381, 257, 5296, 3615, 41260, 257, 36725, 9778, 3215, 2655, 2423, 257, 19071, 3289, 5551, 4117, 26890, 9154, 20328, 5172, 2288, 44381, 6806, 2423, 7649, 321, 362], "avg_logprob": -0.26241134667227456, "compression_ratio": 1.750915750915751, "no_speech_prob": 3.3020973205566406e-05, "words": [{"start": 1148.95, "end": 1149.35, "word": "بعد", "probability": 0.81298828125}, {"start": 1149.35, "end": 1149.47, "word": " ما", "probability": 0.8095703125}, {"start": 1149.47, "end": 1149.85, "word": " طلعنا", "probability": 0.9283447265625}, {"start": 1149.85, "end": 1150.45, "word": " هدولة", "probability": 0.7734375}, {"start": 1150.45, "end": 1151.01, "word": " let", "probability": 0.469970703125}, {"start": 1151.01, "end": 1151.21, "word": " a", "probability": 0.62255859375}, {"start": 1151.21, "end": 1151.55, "word": " أكبر", "probability": 0.8216145833333334}, {"start": 1151.55, "end": 1151.71, "word": " من", 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"probability": 0.86865234375}, {"start": 2588.01, "end": 2588.51, "word": " جداش", "probability": 0.76123046875}, {"start": 2588.51, "end": 2588.97, "word": " درجة", "probability": 0.9874674479166666}, {"start": 2588.97, "end": 2589.11, "word": " ال", "probability": 0.9609375}, {"start": 2589.11, "end": 2589.29, "word": " n", "probability": 0.62548828125}, {"start": 2589.29, "end": 2589.61, "word": " وممكن", "probability": 0.8465169270833334}, {"start": 2589.61, "end": 2589.97, "word": " تساوي", "probability": 0.9873046875}, {"start": 2589.97, "end": 2590.21, "word": " c", "probability": 0.76123046875}, {"start": 2590.21, "end": 2590.39, "word": " of", "probability": 0.96826171875}, {"start": 2590.39, "end": 2590.71, "word": " x", "probability": 0.98779296875}, {"start": 2590.71, "end": 2591.45, "word": " او", "probability": 0.91259765625}, {"start": 2591.45, "end": 2591.73, "word": " اللي", "probability": 0.984375}, {"start": 2591.73, "end": 2591.97, "word": " هي", "probability": 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موجودة for any or ضر بناء على اللي حكيناه نيجي الان لـ Corollary اللي بعدها", "tokens": [45636, 995, 2423, 7649, 29538, 538, 33371, 44945, 28543, 2288, 8717, 12984, 3555, 2655, 16472, 2423, 13760, 13672, 1829, 31439, 3714, 29245, 23328, 3660, 337, 604, 420, 48812, 2288, 44945, 16606, 15844, 13672, 1829, 11331, 4117, 1829, 8315, 3224, 8717, 1829, 7435, 1829, 2423, 7649, 5296, 39184, 3925, 1833, 822, 13672, 1829, 39182, 11296], "avg_logprob": -0.36818181818181817, "compression_ratio": 1.3375796178343948, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2596.57, "end": 2596.93, "word": "اذا", "probability": 0.4349365234375}, {"start": 2596.93, "end": 2597.33, "word": " الان", "probability": 0.6771240234375}, {"start": 2597.33, "end": 2597.61, "word": " هذه", "probability": 0.59619140625}, {"start": 2597.61, "end": 2597.85, "word": " by", "probability": 0.2220458984375}, {"start": 2597.85, "end": 2598.41, "word": " induction", "probability": 0.95703125}, {"start": 2598.41, 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تربيع زات صين تربيع إش بساوي بساوي واحد فكرة البروحان سهلة بسمي هذه كلها بسميها function اسمها F of X بقول سمي هذه اللي هي F of X بساوي هذه فضليها بلّا بتفضليها F prime of X بساوي اتنين", "tokens": [3555, 39648, 6024, 48506, 2423, 39184, 2445, 383, 293, 318, 4724, 5016, 4587, 4587, 13672, 1829, 39896, 2423, 39184, 9953, 392, 559, 25885, 25905, 507, 13672, 1829, 9122, 8315, 8717, 3615, 28480, 11296, 9122, 9381, 9957, 6055, 2288, 21292, 3615, 30767, 9307, 20328, 9957, 6055, 2288, 21292, 3615, 11933, 8592, 4724, 3794, 995, 45865, 4724, 3794, 995, 45865, 36764, 24401, 6156, 4117, 25720, 2423, 26890, 2407, 5016, 7649, 8608, 3224, 37977, 4724, 38251, 1829, 29538, 28242, 11296, 4724, 38251, 1829, 11296, 2445, 24525, 2304, 11296, 479, 295, 1783, 4724, 39648, 8608, 2304, 1829, 29538, 13672, 1829, 39896, 479, 295, 1783, 4724, 3794, 995, 45865, 29538, 6156, 11242, 20292, 11296, 4724, 1211, 11703, 995, 39894, 5172, 11242, 20292, 11296, 479, 5835, 295, 1783, 4724, 3794, 995, 45865, 1975, 2655, 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عنهم اللي هي ال I و I I اللي هو بحيث انه c1 double prime of x بساوي c1 of x", "tokens": [9566, 3555, 3615, 995, 41950, 16572, 28671, 718, 269, 16, 293, 269, 17, 312, 732, 6828, 322, 497, 300, 19319, 309, 44271, 3714, 9957, 2423, 4487, 13672, 1829, 1975, 5016, 8315, 44945, 39648, 18871, 16095, 13672, 1829, 39896, 2423, 286, 4032, 286, 286, 13672, 1829, 31439, 4724, 5016, 1829, 12984, 16472, 3224, 269, 16, 3834, 5835, 295, 2031, 4724, 3794, 995, 45865, 269, 16, 295, 2031], "avg_logprob": -0.30107276030440827, "compression_ratio": 1.3942857142857144, "no_speech_prob": 1.3709068298339844e-06, "words": [{"start": 2745.05, "end": 2745.47, "word": "طبعا", "probability": 0.9271240234375}, {"start": 2745.47, "end": 2746.01, "word": " الطريقة", "probability": 0.86279296875}, {"start": 2746.01, "end": 2746.51, "word": " let", "probability": 0.55029296875}, {"start": 2746.51, "end": 2747.01, "word": " c1", "probability": 0.60107421875}, {"start": 2747.01, "end": 2747.19, "word": " and", 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انتوا sign ال x زي اد y بيسبب sign ال x بكسان ال y زي اد كسان ال y في sign ال x وهكذا هي هذه الخواص اللي احنا عارفينها قبل هيك وبدنا نشوف كيف اللي هي انبرهن النظرية نشوف البرهان تبع النظرية", "tokens": [6027, 148, 48506, 498, 2031, 11, 88, 9673, 2655, 1863, 9640, 550, 321, 362, 264, 4500, 8513, 269, 295, 2031, 30767, 1829, 1975, 3215, 288, 4724, 1829, 35457, 3555, 269, 295, 2031, 8978, 269, 295, 288, 8717, 4587, 9381, 262, 295, 2031, 4032, 82, 295, 288, 13672, 1829, 39896, 13672, 1829, 39894, 3615, 28480, 2407, 11296, 16472, 2655, 14407, 1465, 2423, 2031, 30767, 1829, 1975, 3215, 288, 4724, 1829, 35457, 3555, 1465, 2423, 2031, 4724, 4117, 3794, 7649, 2423, 288, 30767, 1829, 1975, 3215, 9122, 3794, 7649, 2423, 288, 8978, 1465, 2423, 2031, 37037, 4117, 15730, 39896, 29538, 33962, 2407, 33546, 13672, 1829, 1975, 5016, 8315, 6225, 9640, 5172, 9957, 11296, 12174, 36150, 39896, 4117, 4032, 44510, 8315, 8717, 8592, 38688, 9122, 33911, 13672, 1829, 39896, 16472, 26890, 3224, 1863, 28239, 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0.8154296875}, {"start": 3688.33, "end": 3688.59, "word": " addition", "probability": 0.9033203125}, {"start": 3688.59, "end": 3689.27, "word": " formula", "probability": 0.939453125}, {"start": 3689.27, "end": 3689.89, "word": " c", "probability": 0.20556640625}, {"start": 3689.89, "end": 3690.01, "word": " of", "probability": 0.306640625}, {"start": 3690.01, "end": 3690.17, "word": " x", "probability": 0.9765625}, {"start": 3690.17, "end": 3690.29, "word": " زي", "probability": 0.5859375}, {"start": 3690.29, "end": 3690.39, "word": " اد", "probability": 0.48748779296875}, {"start": 3690.39, "end": 3690.53, "word": " y", "probability": 0.53564453125}, {"start": 3690.53, "end": 3690.77, "word": " بيسبب", "probability": 0.52642822265625}, {"start": 3690.77, "end": 3690.99, "word": " c", "probability": 0.8466796875}, {"start": 3690.99, "end": 3691.13, "word": " of", "probability": 0.97119140625}, {"start": 3691.13, "end": 3691.31, "word": " x", "probability": 0.9755859375}, {"start": 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هي", "probability": 0.404052734375}, {"start": 3694.65, "end": 3694.77, "word": " اللي", "probability": 0.96044921875}, {"start": 3694.77, "end": 3695.27, "word": " بتعرفوها", "probability": 0.9703125}, {"start": 3695.27, "end": 3695.55, "word": " انتوا", "probability": 0.7472330729166666}, {"start": 3695.55, "end": 3695.79, "word": " sign", "probability": 0.1278076171875}, {"start": 3695.79, "end": 3695.95, "word": " ال", "probability": 0.59130859375}, {"start": 3695.95, "end": 3696.07, "word": " x", "probability": 0.732421875}, {"start": 3696.07, "end": 3696.21, "word": " زي", "probability": 0.95947265625}, {"start": 3696.21, "end": 3696.31, "word": " اد", "probability": 0.880859375}, {"start": 3696.31, "end": 3696.45, "word": " y", "probability": 0.9658203125}, {"start": 3696.45, "end": 3696.67, "word": " بيسبب", "probability": 0.9456787109375}, {"start": 3696.67, "end": 3696.89, "word": " sign", "probability": 0.8515625}, {"start": 3696.89, "end": 3697.01, "word": " ال", "probability": 0.89697265625}, {"start": 3697.01, "end": 3697.15, "word": " x", "probability": 0.9091796875}, {"start": 3697.15, "end": 3697.51, "word": " بكسان", "probability": 0.68817138671875}, {"start": 3697.51, "end": 3697.61, "word": " ال", "probability": 0.8701171875}, {"start": 3697.61, "end": 3697.75, "word": " y", "probability": 0.94677734375}, {"start": 3697.75, "end": 3697.87, "word": " زي", "probability": 0.918212890625}, {"start": 3697.87, "end": 3697.99, "word": " اد", "probability": 0.694580078125}, {"start": 3697.99, "end": 3698.25, "word": " كسان", "probability": 0.830078125}, {"start": 3698.25, "end": 3698.35, "word": " ال", "probability": 0.94384765625}, {"start": 3698.35, "end": 3698.53, "word": " y", "probability": 0.95556640625}, {"start": 3698.53, "end": 3698.65, "word": " في", "probability": 0.70263671875}, {"start": 3698.65, "end": 3698.97, "word": " sign", "probability": 0.84326171875}, {"start": 3698.97, "end": 3699.21, "word": " ال", "probability": 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0.9405924479166666}, {"start": 3705.71, "end": 3706.13, "word": " كيف", "probability": 0.95556640625}, {"start": 3706.13, "end": 3706.41, "word": " اللي", "probability": 0.91259765625}, {"start": 3706.41, "end": 3706.73, "word": " هي", "probability": 0.88037109375}, {"start": 3706.73, "end": 3707.57, "word": " انبرهن", "probability": 0.8946533203125}, {"start": 3707.57, "end": 3708.49, "word": " النظرية", "probability": 0.948974609375}, {"start": 3708.49, "end": 3709.53, "word": " نشوف", "probability": 0.798583984375}, {"start": 3709.53, "end": 3710.03, "word": " البرهان", "probability": 0.77813720703125}, {"start": 3710.03, "end": 3710.31, "word": " تبع", "probability": 0.8756510416666666}, {"start": 3710.31, "end": 3710.85, "word": " النظرية", "probability": 0.97509765625}], "temperature": 1.0}, {"id": 159, "seek": 371660, "start": 3712.24, "end": 3716.6, "text": "الآن سمّيلي Phi of X بيساوي C of ماقص X لكل X element in R", "tokens": [6027, 148, 48506, 8608, 2304, 11703, 1829, 20292, 41435, 295, 1783, 4724, 1829, 3794, 995, 45865, 383, 295, 19446, 4587, 9381, 1783, 5296, 28820, 1783, 4478, 294, 497], "avg_logprob": -0.4862607840833993, "compression_ratio": 0.9642857142857143, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3712.2400000000002, "end": 3712.8, "word": "الآن", "probability": 0.4920247395833333}, {"start": 3712.8, "end": 3713.36, "word": " سمّيلي", "probability": 0.696728515625}, {"start": 3713.36, "end": 3713.52, "word": " Phi", "probability": 0.15576171875}, {"start": 3713.52, "end": 3713.66, "word": " of", "probability": 0.70703125}, {"start": 3713.66, "end": 3713.82, "word": " X", "probability": 0.89453125}, {"start": 3713.82, "end": 3714.18, "word": " بيساوي", "probability": 0.5813232421875}, {"start": 3714.18, "end": 3714.46, "word": " C", "probability": 0.70458984375}, {"start": 3714.46, "end": 3714.62, "word": " of", "probability": 0.57421875}, {"start": 3714.62, "end": 3715.0, "word": " ماقص", "probability": 0.627197265625}, {"start": 3715.0, "end": 3715.28, "word": " X", "probability": 0.96240234375}, {"start": 3715.28, "end": 3715.58, "word": " لكل", "probability": 0.6524658203125}, {"start": 3715.58, "end": 3715.82, "word": " X", "probability": 0.978515625}, {"start": 3715.82, "end": 3716.12, "word": " element", "probability": 0.63916015625}, {"start": 3716.12, "end": 3716.32, "word": " in", "probability": 0.35400390625}, {"start": 3716.32, "end": 3716.6, "word": " R", "probability": 0.998046875}], "temperature": 1.0}, {"id": 160, "seek": 374489, "start": 3718.45, "end": 3744.89, "text": "احسبلي الـ phi w prime of x لو اتيت فضلت هذه مرتين هتلاقيها ناقص phi of x وهذا الكلام تفضله سهل و بتجيبه لحالك الآن احسبلي ال phi of 0 phi of 0 هتساوي ايش؟ بتساوي واحد phi prime of 0 هتطلع اللي هي عبارة عن اللي هي ال sign ال sign ايش معناها؟ بتساوي 0 عند ال zero", "tokens": [39319, 35457, 20292, 2423, 39184, 13107, 261, 5835, 295, 2031, 45164, 1975, 31371, 2655, 6156, 11242, 1211, 2655, 29538, 3714, 43500, 9957, 8032, 2655, 15040, 38436, 11296, 8717, 995, 4587, 9381, 13107, 295, 2031, 37037, 15730, 2423, 28820, 10943, 6055, 5172, 11242, 43761, 8608, 3224, 1211, 4032, 39894, 7435, 1829, 3555, 3224, 5296, 5016, 6027, 4117, 6024, 48506, 1975, 5016, 35457, 20292, 2423, 13107, 295, 1958, 13107, 295, 1958, 8032, 2655, 3794, 995, 45865, 1975, 1829, 8592, 22807, 39894, 3794, 995, 45865, 36764, 24401, 13107, 5835, 295, 1958, 8032, 2655, 9566, 1211, 3615, 13672, 1829, 39896, 6225, 3555, 9640, 3660, 18871, 13672, 1829, 39896, 2423, 1465, 2423, 1465, 1975, 1829, 8592, 20449, 8315, 11296, 22807, 39894, 3794, 995, 45865, 1958, 43242, 2423, 4018], "avg_logprob": -0.3067036321566951, "compression_ratio": 1.8986175115207373, "no_speech_prob": 2.3245811462402344e-05, "words": [{"start": 3718.4500000000003, "end": 3719.13, "word": "احسبلي", "probability": 0.4966634114583333}, {"start": 3719.13, "end": 3719.37, "word": " الـ", "probability": 0.64697265625}, {"start": 3719.37, "end": 3719.47, "word": " phi", 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