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+{"segments": [{"id": 1, "seek": 2284, "start": 4.94, "end": 22.84, "text": "بسم الله الرحمن الرحيم اليوم المحاضرة رقم 13 مساق تحليل حقيقه 2 لطلاب طالبات الجامعة الإسلامية كلية العلوم قسم رياضيات ان شاء الله ستكون المحاضرة على جزئين", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 45595, 20498, 9673, 5016, 46958, 25720, 12602, 4587, 2304, 3705, 47524, 995, 4587, 6055, 5016, 20292, 1211, 11331, 38436, 4587, 3224, 568, 5296, 9566, 15040, 3555, 23032, 6027, 3555, 9307, 25724, 10943, 27884, 33688, 3794, 37440, 10632, 9122, 20292, 3660, 18863, 1211, 20498, 12174, 38251, 12602, 1829, 46958, 1829, 9307, 16472, 13412, 16606, 21984, 8608, 2655, 30544, 9673, 5016, 46958, 25720, 15844, 10874, 11622, 19986, 9957], "avg_logprob": -0.08562911105783362, "compression_ratio": 1.7672955974842768, "no_speech_prob": 1.8477439880371094e-06, "words": [{"start": 4.94, "end": 5.2, "word": "بسم", "probability": 0.783447265625}, {"start": 5.2, "end": 5.38, "word": " الله", "probability": 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أصل هيك بدي اللي هو أستخدم اللي هو المعطيات اللي موجودة عندى الان هستخدم أمرين هستخدم اكيد ال continuity للـ Phi", "tokens": [6027, 7649, 23758, 2423, 3224, 3215, 5172, 13672, 1829, 47525, 3224, 5551, 36520, 3224, 39896, 4117, 47525, 3224, 5551, 36520, 39896, 4117, 2423, 7649, 6225, 8592, 7649, 5551, 36520, 39896, 4117, 4724, 16254, 13672, 1829, 31439, 5551, 14851, 9778, 40448, 13672, 1829, 31439, 9673, 3615, 9566, 1829, 9307, 13672, 1829, 3714, 29245, 23328, 3660, 43242, 7578, 2423, 7649, 8032, 14851, 9778, 40448, 5551, 29973, 9957, 8032, 14851, 9778, 40448, 1975, 4117, 25708, 2423, 23807, 24976, 39184, 41435], "avg_logprob": -0.20322515662664023, "compression_ratio": 1.8525641025641026, "no_speech_prob": 2.086162567138672e-06, "words": [{"start": 291.26, "end": 291.86, "word": "الان", "probability": 0.769775390625}, {"start": 291.86, "end": 292.52, "word": " هذا", "probability": 0.82861328125}, {"start": 292.52, "end": 292.88, "word": " الهدف", "probability": 0.9697265625}, {"start": 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"ليش هيك؟ بغرض الحسابات بعد شوية هتشوفوا ليش و لو أصلا احنا في النهاية الـ Epsilon الـ Prime هذه ما كتبناش بالشكل هذا و طلع عندي اللي هو الـ U of B أو Phi Composite F ناقص الـ B Phi Composite F", "tokens": [20292, 8592, 39896, 4117, 22807, 4724, 17082, 43042, 21542, 3794, 16758, 9307, 39182, 13412, 2407, 10632, 8032, 2655, 8592, 38688, 14407, 32239, 8592, 4032, 45164, 5551, 9381, 15040, 1975, 5016, 8315, 8978, 28239, 11296, 10632, 2423, 39184, 462, 16592, 2423, 39184, 9655, 29538, 19446, 9122, 2655, 3555, 1863, 33599, 20666, 8592, 28820, 23758, 4032, 23032, 1211, 3615, 18871, 16254, 13672, 1829, 31439, 2423, 39184, 624, 295, 363, 34051, 41435, 6620, 329, 642, 479, 8717, 995, 4587, 9381, 2423, 39184, 363, 41435, 6620, 329, 642, 479], "avg_logprob": -0.2407340055634809, "compression_ratio": 1.530612244897959, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 536.94, "end": 537.56, "word": "ليش", "probability": 0.56781005859375}, {"start": 537.56, "end": 538.84, "word": " 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" B", "probability": 0.85009765625}, {"start": 558.54, "end": 559.94, "word": " Phi", "probability": 0.90673828125}, {"start": 559.94, "end": 560.98, "word": " Composite", "probability": 0.9588216145833334}, {"start": 560.98, "end": 561.38, "word": " F", "probability": 0.99658203125}], "temperature": 1.0}, {"id": 27, "seek": 56827, "start": 561.65, "end": 568.27, "text": "يكون أصغر من إبسلون مضروبة في something أي إشي something ثابت", "tokens": [1829, 30544, 5551, 9381, 17082, 2288, 9154, 11933, 3555, 3794, 1211, 11536, 3714, 11242, 32887, 49401, 8978, 746, 36632, 11933, 8592, 1829, 746, 38637, 16758, 2655], "avg_logprob": -0.20124421296296297, "compression_ratio": 1.1325301204819278, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 561.65, "end": 562.21, "word": "يكون", "probability": 0.916259765625}, {"start": 562.21, "end": 563.17, "word": " أصغر", "probability": 0.952880859375}, {"start": 563.17, "end": 563.49, "word": " من", "probability": 0.97802734375}, {"start": 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is uniformly continuous on مين؟ on C أو D", "tokens": [2670, 318, 8717, 995, 4587, 9381, 41435, 295, 314, 5551, 9381, 17082, 2288, 9154, 3714, 9957, 9154, 462, 16592, 4724, 23557, 32640, 13672, 1829, 5551, 9778, 3215, 2655, 11296, 18871, 16254, 5296, 10721, 1829, 462, 16592, 8978, 32748, 22653, 995, 23758, 2423, 28820, 10943, 4724, 36081, 5016, 4587, 4587, 9154, 11778, 11536, 14739, 8032, 2304, 462, 16592, 4724, 23557, 32640, 13672, 1829, 11331, 4117, 36081, 18871, 11296, 6156, 30543, 23032, 1829, 3555, 11933, 15730, 16247, 1863, 13672, 1829, 44713, 9778, 40448, 47395, 4724, 15042, 14739, 41435, 10957, 15844, 383, 4032, 35, 11933, 15730, 41435, 307, 48806, 10957, 322, 3714, 9957, 22807, 322, 383, 34051, 413], "avg_logprob": -0.22155070079947417, "compression_ratio": 1.6398305084745763, "no_speech_prob": 1.1920928955078125e-06, "words": [{"start": 698.35, "end": 698.69, "word": "of", "probability": 0.345947265625}, {"start": 698.69, "end": 699.19, "word": " S", "probability": 0.515625}, 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"end": 959.93, "word": " Delta", "probability": 0.65673828125}, {"start": 959.93, "end": 960.37, "word": " أصغر", "probability": 0.9901123046875}, {"start": 960.37, "end": 960.47, "word": " من", "probability": 0.99462890625}, {"start": 960.47, "end": 960.79, "word": " يبسلون", "probability": 0.99541015625}, {"start": 960.79, "end": 961.11, "word": " برايم", "probability": 0.98291015625}, {"start": 961.11, "end": 961.43, "word": " لأنه", "probability": 0.8776041666666666}, {"start": 961.43, "end": 962.95, "word": " اختار", "probability": 0.8216145833333334}, {"start": 962.95, "end": 963.39, "word": " الدلتة", "probability": 0.7186279296875}, {"start": 963.39, "end": 963.63, "word": " هي", "probability": 0.876953125}, {"start": 963.63, "end": 964.07, "word": " Delta", "probability": 0.63525390625}, {"start": 964.07, "end": 964.83, "word": " إبرايم", "probability": 0.645721435546875}, {"start": 964.83, "end": 965.09, "word": " إذن", "probability": 0.6666666666666666}, {"start": 965.09, "end": 965.25, "word": " في", "probability": 0.83447265625}, {"start": 965.25, "end": 965.55, "word": " كل", "probability": 0.99609375}, {"start": 965.55, "end": 966.33, "word": " الحالات", "probability": 0.9405924479166666}, {"start": 966.33, "end": 967.09, "word": " هي", "probability": 0.306396484375}, {"start": 967.09, "end": 967.97, "word": " المربط", "probability": 0.8091634114583334}, {"start": 967.97, "end": 968.49, "word": " الفلسفي", "probability": 0.8607421875}, {"start": 968.49, "end": 968.73, "word": " الآن", "probability": 0.696044921875}, {"start": 968.73, "end": 968.93, "word": " there", "probability": 0.276611328125}, {"start": 968.93, "end": 969.39, "word": " exists", "probability": 0.638671875}, {"start": 969.39, "end": 970.05, "word": " Delta", "probability": 0.59326171875}, {"start": 970.05, "end": 971.97, "word": " أكبر", "probability": 0.98095703125}, {"start": 971.97, "end": 972.17, "word": " من", "probability": 0.99853515625}, {"start": 972.17, "end": 972.45, 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Phi", "probability": 0.87353515625}, {"start": 1084.93, "end": 1085.03, "word": " of", "probability": 0.91552734375}, {"start": 1085.03, "end": 1085.15, "word": " T", "probability": 0.99267578125}, {"start": 1085.15, "end": 1085.47, "word": " أصغر", "probability": 0.9949951171875}, {"start": 1085.47, "end": 1085.65, "word": " من", "probability": 0.99462890625}, {"start": 1085.65, "end": 1086.89, "word": " إبسلون", "probability": 0.813037109375}, {"start": 1086.89, "end": 1087.21, "word": " برايم", "probability": 0.6479899088541666}, {"start": 1087.21, "end": 1087.43, "word": " هذه", "probability": 0.2183837890625}, {"start": 1087.43, "end": 1087.59, "word": " اللي", "probability": 0.97412109375}, {"start": 1087.59, "end": 1088.03, "word": " وصلنا", "probability": 0.9845377604166666}, {"start": 1088.03, "end": 1088.45, "word": " إليها", "probability": 0.9371744791666666}, {"start": 1088.45, "end": 1089.37, "word": " اللي", "probability": 0.935302734375}, {"start": 1089.37, "end": 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المعلومة الآن بدي أستخدم المعلومة الموازية لها أن F is integrable الان عندي F is integrable on I إذا حسب then حسب اللي هو ال .. ال .. ال integrability criterion", "tokens": [6027, 148, 48506, 44713, 17082, 1211, 4587, 8315, 20449, 1211, 20498, 3660, 2423, 39184, 498, 286, 307, 10957, 4032, 5016, 36520, 8315, 15844, 20449, 1211, 20498, 3660, 3714, 16095, 3660, 10874, 28259, 14111, 39896, 29538, 9673, 30241, 20498, 3660, 6024, 48506, 4724, 16254, 5551, 14851, 9778, 40448, 9673, 30241, 20498, 3660, 9673, 2407, 31377, 10632, 5296, 11296, 14739, 479, 307, 16200, 424, 638, 2423, 7649, 18871, 16254, 479, 307, 16200, 424, 638, 322, 286, 11933, 15730, 11331, 35457, 550, 11331, 35457, 13672, 1829, 31439, 2423, 4386, 2423, 4386, 2423, 3572, 2310, 46691], "avg_logprob": -0.23303091461940478, "compression_ratio": 1.7095238095238094, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1097.45, "end": 1097.95, "word": "الآن", "probability": 0.6885579427083334}, {"start": 1097.95, "end": 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1104.03, "end": 1104.23, "word": " هي", "probability": 0.6201171875}, {"start": 1104.23, "end": 1104.49, "word": " هذه", "probability": 0.90869140625}, {"start": 1104.49, "end": 1105.01, "word": " المعلومة", "probability": 0.9892578125}, {"start": 1105.01, "end": 1105.29, "word": " الآن", "probability": 0.6812744140625}, {"start": 1105.29, "end": 1105.51, "word": " بدي", "probability": 0.43359375}, {"start": 1105.51, "end": 1106.01, "word": " أستخدم", "probability": 0.85601806640625}, {"start": 1106.01, "end": 1106.57, "word": " المعلومة", "probability": 0.948486328125}, {"start": 1106.57, "end": 1108.09, "word": " الموازية", "probability": 0.9447021484375}, {"start": 1108.09, "end": 1108.43, "word": " لها", "probability": 0.667236328125}, {"start": 1108.43, "end": 1108.63, "word": " أن", "probability": 0.5390625}, {"start": 1108.63, "end": 1108.93, "word": " F", "probability": 0.496337890625}, {"start": 1108.93, "end": 1109.19, "word": " is", "probability": 0.96533203125}, {"start": 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"probability": 0.8466796875}, {"start": 1130.11, "end": 1130.33, "word": " B", "probability": 0.82421875}, {"start": 1130.33, "end": 1130.57, "word": " of", "probability": 0.87060546875}, {"start": 1130.57, "end": 1131.09, "word": " I", "probability": 0.97802734375}, {"start": 1131.09, "end": 1131.93, "word": " بجزء", "probability": 0.9259033203125}, {"start": 1131.93, "end": 1132.47, "word": " مين", "probability": 0.657958984375}, {"start": 1132.47, "end": 1133.17, "word": " I", "probability": 0.873046875}, {"start": 1133.17, "end": 1133.99, "word": " such", "probability": 0.8662109375}, {"start": 1133.99, "end": 1134.97, "word": " that", "probability": 0.9541015625}, {"start": 1134.97, "end": 1135.41, "word": " اللي", "probability": 0.603515625}, {"start": 1135.41, "end": 1135.81, "word": " هو", "probability": 0.970703125}, {"start": 1135.81, "end": 1136.69, "word": " U", "probability": 0.837890625}, {"start": 1136.69, "end": 1137.89, "word": " of", "probability": 0.88330078125}, {"start": 1137.89, "end": 1139.07, "word": " B", "probability": 0.953125}, {"start": 1139.07, "end": 1140.49, "word": " وF", "probability": 0.622314453125}], "temperature": 1.0}, {"id": 53, "seek": 116668, "start": 1140.98, "end": 1166.68, "text": "معقس L بيوقف أصغر من أي إبسلون في الدنيا الإبسلون اللي في الدنيا الإبسلون اللي بدها استخدمها اللي حتة في الدنيا اللي هي مين هي Delta تربيع أصغر من مين من Delta تربيع بقدر أه بقدر طبعا مش احنا بنقول لكل إبسلون أكبر من سفر مادام F is integrable لذا لكل إبسلون أكبر من سفر there exist ال partition B بحيث أنه هذا أصغر من إبسلون", "tokens": [2304, 3615, 4587, 3794, 441, 4724, 1829, 30543, 5172, 5551, 9381, 17082, 2288, 9154, 36632, 11933, 3555, 3794, 1211, 11536, 8978, 32748, 22653, 995, 33688, 3555, 3794, 1211, 11536, 13672, 1829, 8978, 32748, 22653, 995, 33688, 3555, 3794, 1211, 11536, 13672, 1829, 47525, 11296, 44713, 9778, 40448, 11296, 13672, 1829, 11331, 2655, 3660, 8978, 32748, 22653, 995, 13672, 1829, 39896, 3714, 9957, 39896, 18183, 6055, 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"word": " أصغر", "probability": 0.95361328125}, {"start": 1144.28, "end": 1144.4, "word": " من", "probability": 0.98876953125}, {"start": 1144.4, "end": 1144.6, "word": " أي", "probability": 0.94091796875}, {"start": 1144.6, "end": 1145.12, "word": " إبسلون", "probability": 0.77197265625}, {"start": 1145.12, "end": 1145.28, "word": " في", "probability": 0.9453125}, {"start": 1145.28, "end": 1145.92, "word": " الدنيا", "probability": 0.9905598958333334}, {"start": 1145.92, "end": 1147.0, "word": " الإبسلون", "probability": 0.91650390625}, {"start": 1147.0, "end": 1147.14, "word": " اللي", "probability": 0.910888671875}, {"start": 1147.14, "end": 1147.26, "word": " في", "probability": 0.85302734375}, {"start": 1147.26, "end": 1147.58, "word": " الدنيا", "probability": 0.99072265625}, {"start": 1147.58, "end": 1148.1, "word": " الإبسلون", "probability": 0.83017578125}, {"start": 1148.1, "end": 1148.2, "word": " اللي", "probability": 0.96044921875}, {"start": 1148.2, "end": 1148.36, "word": " بدها", "probability": 0.341796875}, {"start": 1148.36, "end": 1148.86, "word": " استخدمها", "probability": 0.8592529296875}, {"start": 1148.86, "end": 1149.0, "word": " اللي", "probability": 0.810546875}, {"start": 1149.0, "end": 1149.24, "word": " حتة", "probability": 0.709716796875}, {"start": 1149.24, "end": 1149.36, "word": " في", "probability": 0.93115234375}, {"start": 1149.36, "end": 1149.82, "word": " الدنيا", "probability": 0.9900716145833334}, {"start": 1149.82, "end": 1150.22, "word": " اللي", "probability": 0.950439453125}, {"start": 1150.22, "end": 1150.36, "word": " هي", "probability": 0.75244140625}, {"start": 1150.36, "end": 1150.62, "word": " مين", "probability": 0.886474609375}, {"start": 1150.62, "end": 1150.98, "word": " هي", "probability": 0.71337890625}, {"start": 1150.98, "end": 1152.04, "word": " Delta", "probability": 0.4404296875}, {"start": 1152.04, "end": 1152.6, "word": " تربيع", "probability": 0.76434326171875}, {"start": 1152.6, "end": 1152.98, "word": " أصغر", "probability": 0.980224609375}, {"start": 1152.98, "end": 1153.14, "word": " من", "probability": 0.98876953125}, {"start": 1153.14, "end": 1153.44, "word": " مين", "probability": 0.8642578125}, {"start": 1153.44, "end": 1153.94, "word": " من", "probability": 0.8017578125}, {"start": 1153.94, "end": 1154.32, "word": " Delta", "probability": 0.8876953125}, {"start": 1154.32, "end": 1155.22, "word": " تربيع", "probability": 0.927001953125}, {"start": 1155.22, "end": 1156.06, "word": " بقدر", "probability": 0.9225260416666666}, {"start": 1156.06, "end": 1156.26, "word": " أه", "probability": 0.7261962890625}, {"start": 1156.26, "end": 1156.6, "word": " بقدر", "probability": 0.95556640625}, {"start": 1156.6, "end": 1157.0, "word": " طبعا", "probability": 0.981201171875}, {"start": 1157.0, "end": 1157.22, "word": " مش", "probability": 0.79443359375}, {"start": 1157.22, "end": 1157.38, "word": " احنا", "probability": 0.8572591145833334}, {"start": 1157.38, "end": 1157.68, "word": " بنقول", "probability": 0.9033203125}, {"start": 1157.68, "end": 1157.94, "word": " لكل", "probability": 0.93310546875}, {"start": 1157.94, "end": 1158.2, "word": " إبسلون", "probability": 0.9771484375}, {"start": 1158.2, "end": 1158.4, "word": " أكبر", "probability": 0.9718424479166666}, {"start": 1158.4, "end": 1158.56, "word": " من", "probability": 0.9970703125}, {"start": 1158.56, "end": 1158.94, "word": " سفر", "probability": 0.7564290364583334}, {"start": 1158.94, "end": 1159.66, "word": " مادام", "probability": 0.5830891927083334}, {"start": 1159.66, "end": 1159.8, "word": " F", "probability": 0.386962890625}, {"start": 1159.8, "end": 1159.96, "word": " is", "probability": 0.9296875}, {"start": 1159.96, "end": 1160.4, "word": " integrable", "probability": 0.747802734375}, {"start": 1160.4, "end": 1160.62, "word": " لذا", "probability": 0.7216796875}, {"start": 1160.62, "end": 1160.9, "word": " لكل", "probability": 0.97705078125}, {"start": 1160.9, "end": 1161.16, "word": " إبسلون", "probability": 0.98505859375}, {"start": 1161.16, "end": 1161.38, "word": " أكبر", "probability": 0.9806315104166666}, {"start": 1161.38, "end": 1161.54, "word": " من", "probability": 0.9970703125}, {"start": 1161.54, "end": 1161.98, "word": " سفر", "probability": 0.9939778645833334}, {"start": 1161.98, "end": 1162.46, "word": " there", "probability": 0.73828125}, {"start": 1162.46, "end": 1163.04, "word": " exist", "probability": 0.623046875}, {"start": 1163.04, "end": 1163.34, "word": " ال", "probability": 0.327880859375}, {"start": 1163.34, "end": 1163.72, "word": " partition", "probability": 0.66015625}, {"start": 1163.72, "end": 1164.12, "word": " B", "probability": 0.408203125}, {"start": 1164.12, "end": 1164.56, "word": " بحيث", "probability": 0.9481201171875}, {"start": 1164.56, "end": 1164.86, "word": " أنه", "probability": 0.72705078125}, {"start": 1164.86, "end": 1165.26, "word": " هذا", "probability": 0.9150390625}, {"start": 1165.26, "end": 1165.56, "word": " أصغر", "probability": 0.9871826171875}, {"start": 1165.56, "end": 1165.72, "word": " من", "probability": 0.99365234375}, {"start": 1165.72, "end": 1166.68, "word": " إبسلون", "probability": 0.914453125}], "temperature": 1.0}, {"id": 54, "seek": 119523, "start": 1167.19, "end": 1195.23, "text": "الأن أبسط من اللي بحكي عنها دلتة تربيع دلفة التربيع أكبر من صفر إذا for delta تربيع there exists B element in B of I such that U ناقص L أصغر من مين من Delta تربيع هذا ال partition B بيجزئلي مين؟ بيجزئلي I بعد أذنكم سموليها بيه X0 و X1 لعند مين؟ لعند X سموليها ال partition بس عشان أتعامل معاها", "tokens": [6027, 33456, 5551, 3555, 3794, 9566, 9154, 13672, 1829, 4724, 5016, 4117, 1829, 18871, 11296, 11778, 1211, 2655, 3660, 6055, 2288, 21292, 3615, 11778, 46538, 3660, 16712, 2288, 21292, 3615, 5551, 4117, 26890, 9154, 20328, 5172, 2288, 11933, 15730, 337, 8289, 6055, 2288, 21292, 3615, 456, 8198, 363, 4478, 294, 363, 295, 286, 1270, 300, 624, 8717, 995, 4587, 9381, 441, 5551, 9381, 17082, 2288, 9154, 3714, 9957, 9154, 18183, 6055, 2288, 21292, 3615, 23758, 2423, 24808, 363, 4724, 1829, 7435, 11622, 19986, 20292, 3714, 9957, 22807, 4724, 1829, 7435, 11622, 19986, 20292, 286, 39182, 5551, 8848, 1863, 24793, 8608, 2304, 2407, 20292, 11296, 4724, 1829, 3224, 1783, 15, 4032, 1783, 16, 5296, 3615, 41260, 3714, 9957, 22807, 5296, 3615, 41260, 1783, 8608, 2304, 2407, 20292, 11296, 2423, 24808, 4724, 3794, 6225, 8592, 7649, 5551, 2655, 3615, 10943, 1211, 20449, 995, 11296], "avg_logprob": -0.2891171266148974, "compression_ratio": 1.699248120300752, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1167.19, "end": 1167.59, "word": "الأن", "probability": 0.6541748046875}, {"start": 1167.59, "end": 1167.91, "word": " أبسط", "probability": 0.704193115234375}, {"start": 1167.91, "end": 1168.03, "word": " من", "probability": 0.86376953125}, {"start": 1168.03, "end": 1168.09, "word": " اللي", "probability": 0.7130126953125}, {"start": 1168.09, "end": 1168.35, "word": " بحكي", "probability": 0.9547119140625}, {"start": 1168.35, "end": 1168.69, "word": " عنها", "probability": 0.9931640625}, {"start": 1168.69, "end": 1169.31, "word": " دلتة", "probability": 0.646484375}, {"start": 1169.31, "end": 1169.65, "word": " تربيع", "probability": 0.83544921875}, {"start": 1169.65, "end": 1170.11, "word": " دلفة", "probability": 0.4496256510416667}, {"start": 1170.11, "end": 1170.33, "word": " التربيع", "probability": 0.8265380859375}, {"start": 1170.33, "end": 1170.49, "word": " أكبر", "probability": 0.93212890625}, {"start": 1170.49, "end": 1170.63, "word": " من", "probability": 0.99609375}, {"start": 1170.63, "end": 1170.93, "word": " صفر", "probability": 0.74072265625}, {"start": 1170.93, "end": 1171.51, "word": " إذا", "probability": 0.51068115234375}, {"start": 1171.51, "end": 1172.53, "word": " for", "probability": 0.69580078125}, {"start": 1172.53, "end": 1173.49, "word": " delta", "probability": 0.4169921875}, {"start": 1173.49, "end": 1174.29, "word": " تربيع", "probability": 0.940185546875}, {"start": 1174.29, "end": 1174.65, "word": " there", "probability": 0.83056640625}, {"start": 1174.65, "end": 1175.21, "word": " exists", "probability": 0.487548828125}, {"start": 1175.21, "end": 1175.65, "word": " B", "probability": 0.50390625}, {"start": 1175.65, "end": 1176.37, "word": " element", "probability": 0.2257080078125}, {"start": 1176.37, "end": 1176.65, "word": " in", "probability": 0.89697265625}, {"start": 1176.65, "end": 1176.77, "word": " B", "probability": 0.8095703125}, {"start": 1176.77, "end": 1176.95, "word": " of", "probability": 0.80517578125}, {"start": 1176.95, "end": 1177.23, "word": " I", "probability": 0.97412109375}, {"start": 1177.23, "end": 1177.83, "word": " such", "probability": 0.8876953125}, {"start": 1177.83, "end": 1178.21, "word": " that", "probability": 0.95654296875}, {"start": 1178.21, "end": 1178.47, "word": " U", "probability": 0.83740234375}, {"start": 1178.47, "end": 1178.95, "word": " ناقص", "probability": 0.9449462890625}, {"start": 1178.95, "end": 1179.13, "word": " L", "probability": 0.5009765625}, {"start": 1179.13, "end": 1179.47, "word": " أصغر", "probability": 0.9837646484375}, {"start": 1179.47, "end": 1179.67, "word": " من", "probability": 0.99365234375}, {"start": 1179.67, "end": 1180.07, "word": " مين", "probability": 0.853515625}, {"start": 1180.07, "end": 1180.73, "word": " من", "probability": 0.94873046875}, {"start": 1180.73, "end": 1181.19, "word": " Delta", "probability": 0.31005859375}, {"start": 1181.19, "end": 1181.85, "word": " تربيع", "probability": 0.90283203125}, {"start": 1181.85, "end": 1182.57, "word": " هذا", "probability": 0.9072265625}, {"start": 1182.57, "end": 1182.73, "word": " ال", "probability": 0.943359375}, {"start": 1182.73, "end": 1183.07, "word": " partition", "probability": 0.75244140625}, {"start": 1183.07, "end": 1183.37, "word": " B", "probability": 0.79150390625}, {"start": 1183.37, "end": 1183.97, "word": " بيجزئلي", "probability": 0.7069498697916666}, {"start": 1183.97, "end": 1184.65, "word": " مين؟", "probability": 0.9060872395833334}, {"start": 1184.65, "end": 1185.23, "word": " بيجزئلي", "probability": 0.983642578125}, {"start": 1185.23, "end": 1185.45, "word": " I", "probability": 0.986328125}, {"start": 1185.45, "end": 1186.15, "word": " بعد", "probability": 0.92236328125}, {"start": 1186.15, "end": 1186.67, "word": " أذنكم", "probability": 0.7896728515625}, {"start": 1186.67, "end": 1187.59, "word": " سموليها", "probability": 0.6234375}, {"start": 1187.59, "end": 1188.49, "word": " بيه", "probability": 0.5330403645833334}, {"start": 1188.49, "end": 1189.43, "word": " X0", "probability": 0.2291259765625}, {"start": 1189.43, "end": 1189.59, "word": " و", "probability": 0.73193359375}, {"start": 1189.59, "end": 1190.37, "word": " X1", "probability": 0.861328125}, {"start": 1190.37, "end": 1190.85, "word": " لعند", "probability": 0.9148763020833334}, {"start": 1190.85, "end": 1191.67, "word": " مين؟", "probability": 0.8243815104166666}, {"start": 1191.67, "end": 1192.05, "word": " لعند", "probability": 0.9617513020833334}, {"start": 1192.05, "end": 1192.33, "word": " X", "probability": 0.9755859375}, {"start": 1192.33, "end": 1193.47, "word": " سموليها", "probability": 0.7446533203125}, {"start": 1193.47, "end": 1193.55, "word": " ال", "probability": 0.75830078125}, {"start": 1193.55, "end": 1193.81, "word": " partition", "probability": 0.87890625}, {"start": 1193.81, "end": 1194.03, "word": " بس", "probability": 0.910888671875}, {"start": 1194.03, "end": 1194.21, "word": " عشان", "probability": 0.9308268229166666}, {"start": 1194.21, "end": 1194.81, "word": " أتعامل", "probability": 0.87919921875}, {"start": 1194.81, "end": 1195.23, "word": " معاها", "probability": 0.803955078125}], "temperature": 1.0}, {"id": 55, "seek": 121964, "start": 1195.66, "end": 1219.64, "text": "اللي هو partition للـ I partition للـ I معناه بجزّه I جزّه او ل X note X واحد X انت جداش أعدادها مش عارف حسب اللي هو اللي جناه بيه طيب شوف الآن بدي أعمل اللي هو شغلة بحيث عن الان أقدر أستخدمها اللي هي أصل للي بدي من خلالها الآن هجيتوا تشوفوا ليش جزعين خدوا A", "tokens": [6027, 20292, 31439, 24808, 24976, 39184, 286, 24808, 24976, 39184, 286, 20449, 8315, 3224, 4724, 7435, 11622, 11703, 3224, 286, 10874, 11622, 11703, 3224, 1975, 2407, 5296, 1783, 3637, 1783, 36764, 24401, 1783, 16472, 2655, 10874, 3215, 33599, 5551, 22488, 18513, 11296, 37893, 6225, 9640, 5172, 11331, 35457, 13672, 1829, 31439, 13672, 1829, 10874, 8315, 3224, 4724, 1829, 3224, 23032, 1829, 3555, 13412, 38688, 6024, 48506, 4724, 16254, 5551, 25957, 1211, 13672, 1829, 31439, 13412, 17082, 37977, 4724, 5016, 1829, 12984, 18871, 2423, 7649, 5551, 28543, 2288, 5551, 14851, 9778, 40448, 11296, 13672, 1829, 39896, 5551, 36520, 5296, 20292, 4724, 16254, 9154, 16490, 1211, 6027, 11296, 6024, 48506, 8032, 7435, 36081, 14407, 6055, 8592, 38688, 14407, 32239, 8592, 10874, 11622, 3615, 9957, 16490, 3215, 14407, 316], "avg_logprob": 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أكبر", "probability": 0.9443359375}, {"start": 2642.4, "end": 2642.74, "word": " سوى", "probability": 0.7159830729166666}, {"start": 2642.74, "end": 2643.88, "word": " مين؟", "probability": 0.7667643229166666}, {"start": 2643.88, "end": 2644.32, "word": " سالب", "probability": 0.96826171875}, {"start": 2644.32, "end": 2644.46, "word": " ال", "probability": 0.8447265625}, {"start": 2644.46, "end": 2646.26, "word": " Phi", "probability": 0.437255859375}, {"start": 2646.26, "end": 2646.64, "word": " of", "probability": 0.9765625}, {"start": 2646.64, "end": 2646.84, "word": " T", "probability": 0.99072265625}, {"start": 2646.84, "end": 2648.1, "word": " فبصير", "probability": 0.9405517578125}, {"start": 2648.1, "end": 2648.5, "word": " عندي", "probability": 0.68212890625}, {"start": 2648.5, "end": 2648.82, "word": " ال", "probability": 0.7939453125}, {"start": 2648.82, "end": 2649.6, "word": " supremum", "probability": 0.7047119140625}, {"start": 2649.6, "end": 2650.38, "word": " اللي", "probability": 0.956787109375}, {"start": 2650.38, "end": 2650.7, "word": " عندي", "probability": 0.79541015625}, {"start": 2650.7, "end": 2650.92, "word": " اللي", "probability": 0.869873046875}, {"start": 2650.92, "end": 2651.3, "word": " هالة", "probability": 0.5541178385416666}, {"start": 2651.3, "end": 2651.6, "word": " هذا", "probability": 0.8779296875}], "temperature": 1.0}, {"id": 113, "seek": 265696, "start": 2652.36, "end": 2656.96, "text": "Supermom لهذه اكيد اصغر او يساوي", "tokens": [30152, 42544, 46740, 24192, 1975, 4117, 25708, 1975, 9381, 17082, 2288, 1975, 2407, 7251, 3794, 995, 45865], "avg_logprob": -0.2914496527777778, "compression_ratio": 0.9444444444444444, "no_speech_prob": 3.4570693969726562e-06, "words": [{"start": 2652.36, "end": 2653.08, "word": "Supermom", "probability": 0.504638671875}, {"start": 2653.08, "end": 2653.6, "word": " لهذه", "probability": 0.84716796875}, {"start": 2653.6, "end": 2655.42, "word": " اكيد", "probability": 0.61126708984375}, {"start": 2655.42, "end": 2656.04, "word": " اصغر", "probability": 0.9544677734375}, {"start": 2656.04, "end": 2656.22, "word": " او", "probability": 0.911865234375}, {"start": 2656.22, "end": 2656.96, "word": " يساوي", "probability": 0.9791259765625}], "temperature": 1.0}, {"id": 114, "seek": 268591, "start": 2657.71, "end": 2685.91, "text": "اللي هو الـ Supremum هذا اللي هو K لأن الـ Supremum هذا عالمين على كل الفترة C وD هنا اللي هي عالمين على X element in XK مانس واحد و XK لأن هذا Similarly أكيد الـ Supremum للـ Absolute Value هيكون أكبر أو يساوي الـ Supremum لهذه من جهتين أنه Absolute Value وفي نفس الوقت اللي هو المجموع هذه جزئية من اللي فوق إذن ده برضه بيكون أصغر أو يساوي", "tokens": [6027, 20292, 31439, 2423, 39184, 9141, 2579, 449, 23758, 13672, 1829, 31439, 591, 5296, 33456, 2423, 39184, 9141, 2579, 449, 23758, 6225, 45340, 9957, 15844, 28242, 27188, 2655, 25720, 383, 4032, 35, 34105, 13672, 1829, 39896, 6225, 45340, 9957, 15844, 1783, 4478, 294, 1783, 42, 3714, 7649, 3794, 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بحيته بس قبل شوية ال summation أصغر من 2 كيف ال summation بشيل هذا اللى هو هذا و أقول أصغر من مين من epsilon prime بصير هذا المقدار اللى هو هذا ال summation هيه", "tokens": [3555, 9381, 13546, 43242, 7578, 45030, 2407, 11242, 2423, 28811, 5551, 9381, 17082, 2288, 9154, 568, 9122, 33911, 2423, 28811, 13672, 7578, 5551, 12984, 3555, 2655, 8315, 3224, 4724, 5016, 36081, 3224, 4724, 3794, 12174, 36150, 13412, 2407, 10632, 2423, 28811, 5551, 9381, 17082, 2288, 9154, 568, 9122, 33911, 2423, 28811, 4724, 8592, 26895, 23758, 13672, 7578, 31439, 23758, 4032, 5551, 39648, 5551, 9381, 17082, 2288, 9154, 3714, 9957, 9154, 17889, 5835, 4724, 9381, 13546, 23758, 9673, 28543, 9640, 13672, 7578, 31439, 23758, 2423, 28811, 39896, 3224], "avg_logprob": -0.17169744352048094, "compression_ratio": 1.9830508474576272, "no_speech_prob": 1.9073486328125e-06, "words": [{"start": 3261.82, "end": 3262.34, "word": "بصير", "probability": 0.8507486979166666}, {"start": 3262.34, "end": 3263.26, "word": " عندى", 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summation لل mk تلدى ناقص mk تلدى", "tokens": [3224, 1829, 2407, 23758, 39896, 2407, 5551, 9381, 17082, 2288, 9154, 9154, 568, 74, 8978, 12588, 8978, 2423, 17889, 5835, 11933, 15730, 23032, 1211, 3615, 18871, 16254, 25724, 11622, 38207, 6024, 104, 7649, 1829, 28811, 16490, 1211, 9381, 8315, 9154, 23758, 20328, 9640, 18871, 16254, 25724, 11622, 38207, 6024, 104, 7649, 1829, 13672, 1829, 5551, 12984, 3555, 47395, 28811, 24976, 275, 74, 6055, 1211, 3215, 7578, 8717, 995, 4587, 9381, 275, 74, 6055, 1211, 3215, 7578], "avg_logprob": -0.27435066173603007, "compression_ratio": 1.623456790123457, "no_speech_prob": 8.404254913330078e-06, "words": [{"start": 3287.55, "end": 3288.03, "word": "هيو", "probability": 0.3990885416666667}, {"start": 3288.03, "end": 3288.29, "word": " هذا", "probability": 0.171142578125}, {"start": 3288.29, "end": 3288.77, "word": " هيو", "probability": 0.900390625}, {"start": 3288.77, "end": 3289.73, "word": " أصغر", "probability": 0.8912353515625}, {"start": 3289.73, 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0.96630859375}, {"start": 3761.23, "end": 3761.61, "word": " value", "probability": 0.98828125}, {"start": 3761.61, "end": 3761.93, "word": " إيش", "probability": 0.7372233072916666}, {"start": 3761.93, "end": 3762.11, "word": " ما", "probability": 0.63623046875}, {"start": 3762.11, "end": 3762.43, "word": " لها", "probability": 0.76025390625}, {"start": 3762.43, "end": 3762.87, "word": " is", "probability": 0.54736328125}, {"start": 3762.87, "end": 3763.89, "word": " continuous", "probability": 0.904296875}, {"start": 3763.89, "end": 3765.27, "word": " مدام", "probability": 0.700439453125}, {"start": 3765.27, "end": 3765.41, "word": " ال", "probability": 0.9658203125}, {"start": 3765.41, "end": 3765.77, "word": " absolute", "probability": 0.97509765625}, {"start": 3765.77, "end": 3766.45, "word": " value", "probability": 0.9921875}, {"start": 3766.45, "end": 3767.17, "word": " الفاي", "probability": 0.656982421875}, {"start": 3767.17, "end": 3767.37, "word": " is", "probability": 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theorem", "probability": 0.8720703125}], "temperature": 1.0}, {"id": 160, "seek": 380099, "start": 3775.05, "end": 3800.99, "text": "فاي كومبوزيت F is integrable فاي كومبوزيت F of T بيساوي فاي of F of T اللي هي بتساوي ايش؟ واحدة absolute value فاي of T بتساوي absolute value لمين؟ للـ F of T إذا شار عندي absolute value للـ F is integrable", "tokens": [5172, 47302, 9122, 20498, 3555, 2407, 11622, 36081, 479, 307, 16200, 424, 638, 6156, 47302, 9122, 20498, 3555, 2407, 11622, 36081, 479, 295, 314, 4724, 1829, 3794, 995, 45865, 6156, 47302, 295, 479, 295, 314, 13672, 1829, 39896, 39894, 3794, 995, 45865, 1975, 1829, 8592, 22807, 36764, 24401, 3660, 8236, 2158, 6156, 47302, 295, 314, 39894, 3794, 995, 45865, 8236, 2158, 32767, 9957, 22807, 24976, 39184, 479, 295, 314, 11933, 15730, 13412, 9640, 43242, 1829, 8236, 2158, 24976, 39184, 479, 307, 16200, 424, 638], "avg_logprob": -0.35386028430041144, "compression_ratio": 1.8, "no_speech_prob": 0.0, "words": [{"start": 3775.05, "end": 3776.09, "word": "فاي", "probability": 0.1856689453125}, {"start": 3776.09, "end": 3776.67, "word": " كومبوزيت", "probability": 0.8126220703125}, {"start": 3776.67, "end": 3777.11, "word": " F", "probability": 0.7216796875}, {"start": 3777.11, "end": 3778.19, "word": " is", "probability": 0.19140625}, {"start": 3778.19, "end": 3779.27, "word": " integrable", "probability": 0.8115234375}, {"start": 3779.27, "end": 3780.67, "word": " فاي", "probability": 0.603759765625}, {"start": 3780.67, "end": 3781.13, "word": " كومبوزيت", "probability": 0.970703125}, {"start": 3781.13, "end": 3781.57, "word": " F", "probability": 0.9765625}, {"start": 3781.57, "end": 3783.05, "word": " of", "probability": 0.492919921875}, {"start": 3783.05, "end": 3783.95, "word": " T", "probability": 0.9130859375}, {"start": 3783.95, "end": 3784.55, "word": " بيساوي", "probability": 0.618994140625}, {"start": 3784.55, "end": 3785.17, "word": " فاي", "probability": 0.81640625}, {"start": 3785.17, "end": 3785.55, "word": " of", "probability": 0.46630859375}, {"start": 3785.55, "end": 3785.99, "word": " F", "probability": 0.96630859375}, {"start": 3785.99, "end": 3786.41, "word": " of", "probability": 0.9677734375}, {"start": 3786.41, "end": 3786.77, "word": " T", "probability": 0.990234375}, {"start": 3786.77, "end": 3787.45, "word": " اللي", "probability": 0.800048828125}, {"start": 3787.45, "end": 3787.61, "word": " هي", "probability": 0.64306640625}, {"start": 3787.61, "end": 3788.15, "word": " بتساوي", "probability": 0.9422607421875}, {"start": 3788.15, "end": 3789.07, "word": " ايش؟", "probability": 0.53265380859375}, {"start": 3789.07, "end": 3789.75, "word": " واحدة", "probability": 0.7861328125}, {"start": 3789.75, "end": 3790.15, "word": " absolute", "probability": 0.47802734375}, {"start": 3790.15, "end": 3791.05, "word": " value", "probability": 0.99365234375}, {"start": 3791.05, "end": 3791.79, "word": " فاي", "probability": 0.717041015625}, {"start": 3791.79, "end": 3791.91, "word": " of", "probability": 0.71875}, {"start": 3791.91, "end": 3792.03, "word": " T", "probability": 0.93212890625}, {"start": 3792.03, "end": 3792.33, "word": " بتساوي", "probability": 0.943359375}, {"start": 3792.33, "end": 3792.65, "word": " absolute", "probability": 0.52490234375}, {"start": 3792.65, "end": 3793.01, "word": " value", "probability": 0.9912109375}, {"start": 3793.01, "end": 3793.93, "word": " لمين؟", "probability": 0.5583089192708334}, {"start": 3793.93, "end": 3794.37, "word": " للـ", "probability": 0.660400390625}, {"start": 3794.37, "end": 3794.67, "word": " F", "probability": 0.6513671875}, {"start": 3794.67, "end": 3795.11, "word": " of", "probability": 0.9794921875}, {"start": 3795.11, "end": 3795.41, "word": " T", "probability": 0.9951171875}, {"start": 3795.41, "end": 3796.45, "word": " إذا", "probability": 0.5390625}, {"start": 3796.45, "end": 3797.21, "word": " شار", "probability": 0.23638916015625}, {"start": 3797.21, "end": 3797.49, "word": " عندي", "probability": 0.616455078125}, {"start": 3797.49, "end": 3797.87, "word": " absolute", "probability": 0.65283203125}, {"start": 3797.87, "end": 3798.35, "word": " value", "probability": 0.9892578125}, {"start": 3798.35, "end": 3798.63, "word": " للـ", "probability": 0.876708984375}, {"start": 3798.63, "end": 3798.93, "word": " F", "probability": 0.97265625}, {"start": 3798.93, "end": 3799.87, "word": " is", "probability": 0.9287109375}, {"start": 3799.87, "end": 3800.99, "word": " integrable", "probability": 0.8759765625}], "temperature": 1.0}, {"id": 161, "seek": 383078, "start": 3801.94, "end": 3830.78, "text": "إذاً مدامة Phi is continuous و F integrable لأن حسب النظرية Phi composite F is integrable و Phi composite F هي طلعت من الـ absolute value للـ F طبعا Phi composite F من وين هتشتغل من عند اللي هي ال interval I لعند مين لعند R لأن Phi اللي هو F of T هيجي يقعد في الفترة هذه و Phi هترسل اللي بيجي لوين لعند I", "tokens": [28814, 15730, 14111, 3714, 3215, 10943, 3660, 41435, 307, 10957, 4032, 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ال integration لل absolute value لل F من A ل B أصغر أساوي ال integration لل F من A ل B أصغر أساوي ال integration لل F من A ل B وهذا إيش معناته؟ هذا معناته إذا ال absolute value لل integration لل F من A ل B أصغر أساوي", "tokens": [28814, 15730, 2423, 7649, 4724, 15042, 14739, 479, 49374, 8032, 8848, 12610, 3660, 32748, 6027, 2655, 9957, 11331, 35457, 8717, 19913, 16572, 11296, 5551, 9778, 3215, 8315, 11296, 9673, 25720, 9673, 46958, 10632, 34051, 7942, 11933, 15730, 4724, 1829, 9381, 13546, 2423, 10980, 24976, 8236, 2158, 24976, 479, 9154, 316, 5296, 363, 5551, 9381, 17082, 2288, 5551, 3794, 995, 45865, 2423, 10980, 24976, 479, 9154, 316, 5296, 363, 5551, 9381, 17082, 2288, 5551, 3794, 995, 45865, 2423, 10980, 24976, 479, 9154, 316, 5296, 363, 37037, 15730, 11933, 1829, 8592, 20449, 8315, 47395, 22807, 23758, 20449, 8315, 47395, 11933, 15730, 2423, 8236, 2158, 24976, 10980, 24976, 479, 9154, 316, 5296, 363, 5551, 9381, 17082, 2288, 5551, 3794, 995, 45865], "avg_logprob": 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"probability": 0.912841796875}, {"start": 4444.2, "end": 4444.72, "word": " هو", "probability": 0.99267578125}, {"start": 4444.72, "end": 4446.88, "word": " نقطة", "probability": 0.9661458333333334}, {"start": 4446.88, "end": 4447.0, "word": " في", "probability": 0.9345703125}, {"start": 4447.0, "end": 4447.22, "word": " ال", "probability": 0.80322265625}], "temperature": 1.0}, {"id": 187, "seek": 446957, "start": 4448.55, "end": 4469.57, "text": "في ال .. في ال .. في ال section 7-2 اللي هو السؤال اللي سألناه في الأول قولنا لو كانت F is integrable function و Phi is integrable هل Phi composite F is integrable قولنا أكيد هو لو .. في البداية قولنا أن Phi composite F need not to be integrable", "tokens": [41185, 2423, 4386, 8978, 2423, 4386, 8978, 2423, 3541, 1614, 12, 17, 13672, 1829, 31439, 21136, 33604, 6027, 13672, 1829, 8608, 10721, 1211, 8315, 3224, 8978, 16247, 12610, 12174, 12610, 8315, 45164, 25961, 2655, 479, 307, 16200, 424, 638, 2445, 4032, 41435, 307, 16200, 424, 638, 8032, 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4460.01, "end": 4460.25, "word": " F", "probability": 0.90185546875}, {"start": 4460.25, "end": 4460.45, "word": " is", "probability": 0.93017578125}, {"start": 4460.45, "end": 4461.19, "word": " integrable", "probability": 0.8924153645833334}, {"start": 4461.19, "end": 4462.33, "word": " قولنا", "probability": 0.78125}, {"start": 4462.33, "end": 4462.75, "word": " أكيد", "probability": 0.84765625}, {"start": 4462.75, "end": 4462.89, "word": " هو", "probability": 0.8857421875}, {"start": 4462.89, "end": 4463.11, "word": " لو", "probability": 0.55712890625}, {"start": 4463.11, "end": 4463.41, "word": " ..", "probability": 0.40283203125}, {"start": 4463.41, "end": 4464.31, "word": " في", "probability": 0.8974609375}, {"start": 4464.31, "end": 4464.69, "word": " البداية", "probability": 0.9806315104166666}, {"start": 4464.69, "end": 4465.05, "word": " قولنا", "probability": 0.9801432291666666}, {"start": 4465.05, "end": 4465.27, "word": " أن", "probability": 0.56201171875}, {"start": 4465.27, "end": 4465.95, "word": " Phi", "probability": 0.84716796875}, {"start": 4465.95, "end": 4466.43, "word": " composite", "probability": 0.943359375}, {"start": 4466.43, "end": 4466.85, "word": " F", "probability": 0.98095703125}, {"start": 4466.85, "end": 4467.21, "word": " need", "probability": 0.6865234375}, {"start": 4467.21, "end": 4467.57, "word": " not", "probability": 0.958984375}, {"start": 4467.57, "end": 4467.75, "word": " to", "probability": 0.89794921875}, {"start": 4467.75, "end": 4468.43, "word": " be", "probability": 0.96826171875}, {"start": 4468.43, "end": 4469.57, "word": " integrable", "probability": 0.9072265625}], "temperature": 1.0}, {"id": 188, "seek": 449643, "start": 4469.98, "end": 4496.44, "text": "إذا the composition of two integrable functions need not to be integrable يعني هذا إعلان the composition of two integrable functions need not to be integrable but if phi the first one is continuous then phi composite of f is integrable كما شفنا في العقل اللي هو النظرية الأولى طيب نيجي الآن المثال الأخير بيقولنا يا جماعة the composition of integrable functions need not to be integrable", "tokens": [28814, 15730, 264, 12686, 295, 732, 16200, 424, 638, 6828, 643, 406, 281, 312, 16200, 424, 638, 37495, 22653, 23758, 11933, 30241, 7649, 264, 12686, 295, 732, 16200, 424, 638, 6828, 643, 406, 281, 312, 16200, 424, 638, 457, 498, 13107, 264, 700, 472, 307, 10957, 550, 13107, 25557, 295, 283, 307, 16200, 424, 638, 9122, 15042, 13412, 5172, 8315, 8978, 18863, 4587, 1211, 13672, 1829, 31439, 28239, 19913, 2288, 10632, 16247, 12610, 7578, 23032, 1829, 3555, 8717, 1829, 7435, 1829, 6024, 48506, 9673, 12984, 6027, 16247, 9778, 13546, 4724, 1829, 39648, 8315, 35186, 10874, 15042, 27884, 264, 12686, 295, 16200, 424, 638, 6828, 643, 406, 281, 312, 16200, 424, 638], "avg_logprob": -0.1975446432562811, "compression_ratio": 2.0432900432900434, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 4469.98, "end": 4470.32, "word": "إذا", 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الأولى", "probability": 0.9871419270833334}, {"start": 4489.26, "end": 4489.72, "word": " طيب", "probability": 0.91552734375}, {"start": 4489.72, "end": 4490.62, "word": " نيجي", "probability": 0.88671875}, {"start": 4490.62, "end": 4490.96, "word": " الآن", "probability": 0.546630859375}, {"start": 4490.96, "end": 4491.36, "word": " المثال", "probability": 0.9606119791666666}, {"start": 4491.36, "end": 4491.84, "word": " الأخير", "probability": 0.87890625}, {"start": 4491.84, "end": 4492.3, "word": " بيقولنا", "probability": 0.83544921875}, {"start": 4492.3, "end": 4492.42, "word": " يا", "probability": 0.9833984375}, {"start": 4492.42, "end": 4492.8, "word": " جماعة", "probability": 0.99365234375}, {"start": 4492.8, "end": 4493.0, "word": " the", "probability": 0.7587890625}, {"start": 4493.0, "end": 4493.54, "word": " composition", "probability": 0.912109375}, {"start": 4493.54, "end": 4493.84, "word": " of", "probability": 0.97314453125}, {"start": 4493.84, "end": 4494.38, "word": " integrable", "probability": 0.8644205729166666}, {"start": 4494.38, "end": 4494.76, "word": " functions", "probability": 0.87939453125}, {"start": 4494.76, "end": 4495.18, "word": " need", "probability": 0.9248046875}, {"start": 4495.18, "end": 4495.44, "word": " not", "probability": 0.9541015625}, {"start": 4495.44, "end": 4495.58, "word": " to", "probability": 0.96728515625}, {"start": 4495.58, "end": 4495.76, "word": " be", "probability": 0.97314453125}, {"start": 4495.76, "end": 4496.44, "word": " integrable", "probability": 0.9217122395833334}], "temperature": 1.0}, {"id": 189, "seek": 452484, "start": 4497.2, "end": 4524.84, "text": "في عندى سؤالين اصلا معاكم homework السؤال الاول بيقوللنا لو كانت f of x بتساوي واحد ده كانت x بتساوي سفر و zero ده كانت x is irrational و كانت f of x بتساوي واحد لما x بيساوي m على n حيث ال m و ال n عبارة عن integers و العامل المشترك الاعلى بينهم ايه اشمله بادر بيساوي واحد يعني شولنا كل العامل المشترك اللى بينهم و كتبنا x بتساوي m على n", "tokens": 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G", "probability": 0.556640625}, {"start": 4566.17, "end": 4566.31, "word": " of", "probability": 0.580078125}, {"start": 4566.31, "end": 4566.65, "word": " X", "probability": 0.96923828125}, {"start": 4566.65, "end": 4567.79, "word": " step", "probability": 0.56591796875}, {"start": 4567.79, "end": 4568.13, "word": " function", "probability": 0.9462890625}, {"start": 4568.13, "end": 4568.57, "word": " بسيطة", "probability": 0.993359375}, {"start": 4568.57, "end": 4568.77, "word": " يعني", "probability": 0.896484375}], "temperature": 1.0}, {"id": 192, "seek": 459627, "start": 4569.97, "end": 4596.27, "text": "أو خلّيني أقول فيها jump و بس jump على نقطة بس جيوب x بيساوي 0 إذا كانت x بيساوي 0 و بيساوي 1 إذا كانت x في الفترة من 0 لعند 1 اللي هو a closed عند الواحد يعني الآن هذا ال function بيقوللي برضه في ال exercise مطلوب برضه في exercise 717 برضه اللي هو homework معكم في ال exercise بيقولك اثبت ان g ايش معناها is integrable function", "tokens": [10721, 2407, 16490, 1211, 11703, 9957, 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