{"segments": [{"id": 1, "seek": 4239, "start": 21.99, "end": 42.39, "text": "السلام عليكم و رحمة الله بسم الله الرحمن الرحيم اليوم ان شاء الله هنكمل الجزء التالت من مناقشة اللي هو الشبتر الرابع chapter ال cyclic groups المرة الماضية أنهينا سؤال عشرين و اتوقفنا عن سؤال واحد و عشرين سؤال واحد و عشرين سؤال تطبيقى مش صعب كتير", "tokens": [6027, 3794, 37440, 25894, 24793, 4032, 12602, 35571, 3660, 21984, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 45595, 20498, 16472, 13412, 16606, 21984, 8032, 1863, 24793, 1211, 25724, 11622, 38207, 16712, 6027, 2655, 9154, 3714, 8315, 4587, 8592, 3660, 13672, 1829, 31439, 25124, 3555, 2655, 2288, 34892, 16758, 3615, 7187, 2423, 38154, 1050, 3935, 9673, 25720, 9673, 46958, 10632, 14739, 3224, 1829, 8315, 8608, 33604, 6027, 6225, 46309, 9957, 4032, 1975, 2655, 30543, 5172, 8315, 18871, 8608, 33604, 6027, 36764, 24401, 4032, 6225, 46309, 9957, 8608, 33604, 6027, 36764, 24401, 4032, 6225, 46309, 9957, 8608, 33604, 6027, 6055, 9566, 21292, 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"word": " واحد", "probability": 0.9853515625}, {"start": 65.61, "end": 65.85, "word": " ان", "probability": 0.46923828125}, {"start": 65.85, "end": 66.37, "word": " order", "probability": 0.7890625}, {"start": 66.37, "end": 66.67, "word": " ال", "probability": 0.6103515625}, {"start": 66.67, "end": 67.07, "word": " a", "probability": 0.8876953125}, {"start": 67.07, "end": 68.41, "word": " في", "probability": 0.75}, {"start": 68.41, "end": 68.79, "word": " الأول", "probability": 0.8857421875}, {"start": 68.79, "end": 69.23, "word": " هيقسم", "probability": 0.7198079427083334}, {"start": 69.23, "end": 69.39, "word": " ال", "probability": 0.5341796875}, {"start": 69.39, "end": 69.95, "word": " 12", "probability": 0.85595703125}, {"start": 69.95, "end": 70.33, "word": " في", "probability": 0.8232421875}, {"start": 70.33, "end": 70.63, "word": " الفرع", "probability": 0.8819986979166666}, {"start": 70.63, "end": 70.93, "word": " a", "probability": 0.80419921875}, {"start": 70.93, "end": 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"end": 162.16, "text": "الـ J هذي احدى الكورلرز على النظرية الاولى انه اي عنصر في الـ cyclic group ال order له بيقسم order ل group في حالة ال finite case هذا معناته order ال A بيقسم ال 24 وبالتالي order ال A يا 1 يا 2 يا 3 يا 4 يا 6 يا 8 يا 12", "tokens": [6027, 39184, 508, 8032, 8848, 1829, 1975, 24401, 7578, 33251, 13063, 1211, 2288, 11622, 15844, 28239, 19913, 2288, 10632, 42963, 12610, 7578, 16472, 3224, 1975, 1829, 18871, 9381, 2288, 8978, 2423, 39184, 38154, 1050, 1594, 2423, 1668, 46740, 4724, 1829, 4587, 38251, 1668, 5296, 1594, 8978, 11331, 6027, 3660, 2423, 19362, 1389, 23758, 20449, 8315, 47395, 1668, 2423, 316, 4724, 1829, 4587, 38251, 2423, 4022, 46599, 6027, 2655, 6027, 1829, 1668, 2423, 316, 35186, 502, 35186, 568, 35186, 805, 35186, 1017, 35186, 1386, 35186, 1649, 35186, 2272], "avg_logprob": -0.28338068283417006, "compression_ratio": 1.6855670103092784, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 134.46, "end": 134.72, "word": "الـ", "probability": 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"هيكون subset من ال centralizer لأنه مدام ال a موجودة يعني فكل powers ال a موجودة يعني", "tokens": [3224, 1829, 30544, 25993, 9154, 2423, 5777, 6545, 5296, 33456, 3224, 3714, 3215, 10943, 2423, 257, 3714, 29245, 23328, 3660, 37495, 22653, 6156, 28820, 8674, 2423, 257, 3714, 29245, 23328, 3660, 37495, 22653], "avg_logprob": -0.3460477967472637, "compression_ratio": 1.29, "no_speech_prob": 0.0, "words": [{"start": 592.23, "end": 592.61, "word": "هيكون", "probability": 0.741455078125}, {"start": 592.61, "end": 592.91, "word": " subset", "probability": 0.45458984375}, {"start": 592.91, "end": 593.09, "word": " من", "probability": 0.97802734375}, {"start": 593.09, "end": 593.17, "word": " ال", "probability": 0.97802734375}, {"start": 593.17, "end": 593.81, "word": " centralizer", "probability": 0.59698486328125}, {"start": 593.81, "end": 594.63, "word": " لأنه", "probability": 0.4302164713541667}, {"start": 594.63, "end": 595.09, "word": " مدام", "probability": 0.6383463541666666}, 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العناصر بتكون لل cyclic subgroup generated by R 360 على N و الجزء التاني عبارة عن مجموعة من ال reflections اللي ال order لكل واحد اش في ساوي", "tokens": [3794, 33604, 6027, 3552, 41850, 19446, 23032, 46152, 2655, 2407, 8592, 44381, 31439, 3714, 5016, 1211, 12610, 8978, 33962, 46538, 4032, 8608, 3224, 1211, 16472, 2655, 39894, 8592, 2655, 17082, 1211, 8978, 2423, 21500, 2423, 21500, 6225, 3555, 9640, 3660, 18871, 10874, 11622, 38207, 9957, 10874, 11622, 38207, 3714, 4117, 2407, 8315, 9154, 426, 9154, 18863, 1863, 33546, 2288, 39894, 30544, 24976, 38154, 1050, 1422, 17377, 10833, 538, 497, 13898, 15844, 426, 4032, 25724, 11622, 38207, 16712, 7649, 1829, 6225, 3555, 9640, 3660, 18871, 3714, 7435, 2304, 2407, 27884, 9154, 2423, 30679, 13672, 1829, 2423, 1668, 5296, 28820, 36764, 24401, 1975, 8592, 8978, 8608, 995, 45865], "avg_logprob": -0.22721962171180227, "compression_ratio": 1.5766129032258065, "no_speech_prob": 0.0, "words": [{"start": 603.03, "end": 603.33, "word": "سؤال", 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"probability": 0.9619140625}, {"start": 673.31, "end": 673.71, "word": " ..", "probability": 0.57861328125}, {"start": 673.71, "end": 674.37, "word": " هنكتشف", "probability": 0.8602701822916666}, {"start": 674.37, "end": 674.93, "word": " لاحقا", "probability": 0.95263671875}, {"start": 674.93, "end": 675.41, "word": " أن", "probability": 0.51416015625}, {"start": 675.41, "end": 675.79, "word": " كل", "probability": 0.62451171875}, {"start": 675.79, "end": 677.65, "word": " cyclic", "probability": 0.7421875}, {"start": 677.65, "end": 678.23, "word": " group", "probability": 0.875}, {"start": 678.23, "end": 678.45, "word": " و", "probability": 0.9775390625}, {"start": 678.45, "end": 679.05, "word": " infinite", "probability": 0.91650390625}, {"start": 679.05, "end": 679.63, "word": " هتكون", "probability": 0.9752604166666666}, {"start": 679.63, "end": 679.95, "word": " copy", "probability": 0.654296875}, {"start": 679.95, "end": 681.03, "word": " من", "probability": 0.9951171875}, 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complex", "probability": 0.88525390625}, {"start": 687.95, "end": 688.41, "word": " number", "probability": 0.8251953125}, {"start": 688.41, "end": 688.87, "word": " under", "probability": 0.837890625}, {"start": 688.87, "end": 690.11, "word": " multiplication", "probability": 0.80224609375}, {"start": 690.11, "end": 690.57, "word": " has", "probability": 0.88623046875}, {"start": 690.57, "end": 690.83, "word": " a", "probability": 0.98193359375}, {"start": 690.83, "end": 691.21, "word": " cyclic", "probability": 0.918212890625}, {"start": 691.21, "end": 691.63, "word": " subgroup", "probability": 0.801513671875}, {"start": 691.63, "end": 691.81, "word": " of", "probability": 0.96142578125}, {"start": 691.81, "end": 692.11, "word": " order", "probability": 0.95556640625}, {"start": 692.11, "end": 692.77, "word": " c", "probability": 0.16845703125}, {"start": 692.77, "end": 694.99, "word": " star", "probability": 0.375244140625}, {"start": 694.99, "end": 696.33, "word": " عبارة", "probability": 0.84564208984375}, {"start": 696.33, "end": 697.11, "word": " عن", "probability": 0.99169921875}, {"start": 697.11, "end": 698.01, "word": " اللي", "probability": 0.73046875}, {"start": 698.01, "end": 698.31, "word": " هي", "probability": 0.77099609375}, {"start": 698.31, "end": 698.93, "word": " كل", "probability": 0.96337890625}, {"start": 698.93, "end": 699.09, "word": " ما", "probability": 0.93310546875}, {"start": 699.09, "end": 699.31, "word": " عدا", "probability": 0.819091796875}, {"start": 699.31, "end": 699.45, "word": " ال", "probability": 0.93603515625}, {"start": 699.45, "end": 699.79, "word": " zero", "probability": 0.58642578125}, {"start": 699.79, "end": 702.67, "word": " اللي", "probability": 0.903076171875}, {"start": 702.67, "end": 702.91, "word": " هي", "probability": 0.80810546875}, {"start": 702.91, "end": 703.87, "word": " ممكن", "probability": 0.892333984375}, {"start": 703.87, "end": 704.27, "word": " نكتبها", "probability": 0.857421875}, 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26, "seek": 73108, "start": 711.38, "end": 731.08, "text": "هذا ما نثبت أنه موجود فيها Cyclic group أو Cyclic subgroup في أوردر n لت ان ينتمي لإنه يشغل number بخط Complex analysis", "tokens": [3224, 15730, 19446, 8717, 12984, 3555, 2655, 14739, 3224, 3714, 29245, 23328, 8978, 11296, 10295, 66, 1050, 1594, 34051, 10295, 66, 1050, 1422, 17377, 8978, 5551, 13063, 3215, 2288, 297, 5296, 2655, 16472, 7251, 29399, 2304, 1829, 5296, 28814, 1863, 3224, 7251, 8592, 17082, 1211, 1230, 4724, 9778, 9566, 41184, 5215], "avg_logprob": -0.4332932634995534, "compression_ratio": 1.198581560283688, "no_speech_prob": 0.0, "words": [{"start": 711.38, "end": 711.74, "word": "هذا", "probability": 0.7353515625}, {"start": 711.74, "end": 711.84, "word": " ما", "probability": 0.09747314453125}, {"start": 711.84, "end": 712.2, "word": " نثبت", "probability": 0.9263916015625}, {"start": 712.2, "end": 712.4, "word": " أنه", "probability": 0.7091064453125}, {"start": 712.4, "end": 712.78, "word": " موجود", 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the concepts of complex analysis we can write", "tokens": [3555, 2655, 3615, 19528, 20449, 995, 25528, 1975, 5016, 8315, 8032, 1863, 6156, 7578, 2423, 383, 4032, 45164, 36764, 24401, 9154, 16095, 20328, 5172, 2288, 6156, 10721, 12610, 8032, 29399, 4587, 1211, 24976, 383, 3543, 1228, 264, 10392, 295, 3997, 5215, 321, 393, 2464], "avg_logprob": -0.2996527724795871, "compression_ratio": 1.1798561151079137, "no_speech_prob": 0.0, "words": [{"start": 876.57, "end": 876.85, "word": "بتعلم", "probability": 0.750244140625}, {"start": 876.85, "end": 877.33, "word": " معايا", "probability": 0.9339192708333334}, {"start": 877.33, "end": 878.69, "word": " احنا", "probability": 0.8326822916666666}, {"start": 878.69, "end": 878.85, "word": " هن", "probability": 0.595458984375}, {"start": 878.85, "end": 878.97, "word": " فى", "probability": 0.57147216796875}, {"start": 878.97, "end": 879.11, "word": " ال", "probability": 0.919921875}, {"start": 879.11, "end": 879.35, "word": " C", "probability": 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قص مليون عن المليون بترفع على القصص اللي بتكون relative to prime ع تمانية واحد و تلاتة و خمسة و سبعة فهي الأرقام اللي او العناصر اللي في زيد تمانية مليون اللي ال order اللي تمانية هتكون المليون و التلاتة مليون و الخمسة مليون و السبعة مليون نفس الفكرة", "tokens": [3555, 2655, 7435, 1829, 3555, 36764, 24401, 9154, 16095, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 36764, 24401, 12174, 9381, 46811, 7649, 10632, 3714, 20292, 11536, 6225, 46811, 7649, 10632, 37495, 22653, 36764, 24401, 12174, 9381, 3714, 20292, 11536, 18871, 9673, 20292, 11536, 39894, 28480, 3615, 15844, 25062, 9381, 9381, 13672, 1829, 39894, 30544, 4972, 281, 5835, 6225, 46811, 7649, 10632, 36764, 24401, 4032, 6055, 1211, 9307, 3660, 4032, 16490, 2304, 3794, 3660, 4032, 8608, 3555, 27884, 6156, 3224, 1829, 16247, 2288, 4587, 10943, 13672, 1829, 1975, 2407, 18863, 1863, 33546, 2288, 13672, 1829, 8978, 30767, 25708, 46811, 7649, 10632, 3714, 20292, 11536, 13672, 1829, 2423, 1668, 13672, 1829, 46811, 7649, 10632, 8032, 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{"start": 2129.32, "end": 2129.78, "word": " او", "probability": 0.85107421875}, {"start": 2129.78, "end": 2129.92, "word": " اي", "probability": 0.93212890625}, {"start": 2129.92, "end": 2130.2, "word": " طريقة", "probability": 0.99169921875}, {"start": 2130.2, "end": 2130.34, "word": " بدي", "probability": 0.958740234375}, {"start": 2130.34, "end": 2130.9, "word": " استعملها", "probability": 0.93994140625}, {"start": 2130.9, "end": 2133.46, "word": " ايش", "probability": 0.8968098958333334}, {"start": 2133.46, "end": 2133.76, "word": " افضل", "probability": 0.92138671875}, {"start": 2133.76, "end": 2134.1, "word": " طريقة", "probability": 0.9952799479166666}, {"start": 2134.1, "end": 2134.24, "word": " بدي", "probability": 0.79150390625}, {"start": 2134.24, "end": 2134.8, "word": " استعملها", "probability": 0.973388671875}], "temperature": 1.0}, {"id": 76, "seek": 216464, "start": 2140.76, "end": 2164.64, "text": "شباب كيف بنثبت ان الجروب ليس Cyclic نثبت ان ولا عنصر ال order له بيساوي order للجروب طب انت لا تنساش ان ال j finite ال order لل j بيساوي n finite طب هذه العملية سهلة ولا صعبة؟", "tokens": [8592, 3555, 16758, 9122, 33911, 44945, 12984, 3555, 2655, 16472, 25724, 32887, 3555, 32239, 3794, 10295, 66, 1050, 8717, 12984, 3555, 2655, 16472, 49429, 18871, 9381, 2288, 2423, 1668, 46740, 4724, 1829, 3794, 995, 45865, 1668, 24976, 7435, 32887, 3555, 23032, 3555, 16472, 2655, 20193, 6055, 1863, 3794, 33599, 16472, 2423, 361, 19362, 2423, 1668, 24976, 361, 4724, 1829, 3794, 995, 45865, 297, 19362, 23032, 3555, 29538, 18863, 42213, 10632, 8608, 3224, 37977, 49429, 20328, 3615, 49401, 22807], "avg_logprob": -0.3370253074018261, "compression_ratio": 1.6890243902439024, "no_speech_prob": 0.0, "words": [{"start": 2140.76, "end": 2141.04, "word": "شباب", "probability": 0.6173502604166666}, {"start": 2141.04, "end": 2141.26, "word": " كيف", "probability": 0.82470703125}, {"start": 2141.26, "end": 2141.72, "word": " بنثبت", "probability": 0.8978271484375}, {"start": 2141.72, "end": 2141.82, "word": " ان", "probability": 0.48193359375}, {"start": 2141.82, "end": 2142.26, "word": " الجروب", "probability": 0.7162272135416666}, {"start": 2142.26, "end": 2142.42, "word": " ليس", "probability": 0.666259765625}, {"start": 2142.42, "end": 2142.98, "word": " Cyclic", "probability": 0.70166015625}, {"start": 2142.98, "end": 2146.76, "word": " نثبت", "probability": 0.795257568359375}, {"start": 2146.76, "end": 2146.92, "word": " ان", "probability": 0.74072265625}, {"start": 2146.92, "end": 2147.34, "word": " ولا", "probability": 0.646484375}, {"start": 2147.34, "end": 2148.16, "word": " عنصر", "probability": 0.9485677083333334}, {"start": 2148.16, "end": 2148.36, "word": " ال", "probability": 0.6552734375}, {"start": 2148.36, "end": 2148.76, "word": " order", "probability": 0.85107421875}, {"start": 2148.76, "end": 2149.16, "word": " له", "probability": 0.38525390625}, {"start": 2149.16, "end": 2149.66, "word": " بيساوي", "probability": 0.76435546875}, {"start": 2149.66, "end": 2150.04, "word": " order", "probability": 0.89990234375}, {"start": 2150.04, "end": 2150.7, "word": " للجروب", "probability": 0.764892578125}, {"start": 2150.7, "end": 2154.1, "word": " طب", "probability": 0.660400390625}, {"start": 2154.1, "end": 2154.28, "word": " انت", "probability": 0.610107421875}, {"start": 2154.28, "end": 2154.44, "word": " لا", "probability": 0.39404296875}, {"start": 2154.44, "end": 2154.58, "word": " تنساش", "probability": 0.76043701171875}, {"start": 2154.58, "end": 2154.72, "word": " ان", "probability": 0.84375}, {"start": 2154.72, "end": 2154.86, "word": " ال", "probability": 0.6279296875}, {"start": 2154.86, "end": 2154.98, "word": " j", "probability": 0.436279296875}, {"start": 2154.98, "end": 2155.4, "word": " finite", "probability": 0.80126953125}, {"start": 2155.4, "end": 2155.92, "word": " ال", "probability": 0.47314453125}, {"start": 2155.92, "end": 2156.2, "word": " order", "probability": 0.90234375}, {"start": 2156.2, "end": 2156.44, "word": " لل", "probability": 0.5751953125}, {"start": 2156.44, "end": 2156.74, "word": " j", "probability": 0.57080078125}, {"start": 2156.74, "end": 2158.54, "word": " بيساوي", "probability": 0.8880859375}, {"start": 2158.54, "end": 2158.78, "word": " n", "probability": 0.329345703125}, {"start": 2158.78, "end": 2159.4, "word": " finite", "probability": 0.966796875}, {"start": 2159.4, "end": 2162.24, "word": " طب", "probability": 0.82275390625}, {"start": 2162.24, "end": 2162.44, "word": " هذه", "probability": 0.319091796875}, {"start": 2162.44, "end": 2163.02, "word": " العملية", "probability": 0.9192708333333334}, {"start": 2163.02, "end": 2163.74, "word": " سهلة", "probability": 0.9420572916666666}, {"start": 2163.74, "end": 2163.96, "word": " ولا", "probability": 0.845703125}, {"start": 2163.96, "end": 2164.64, "word": " صعبة؟", "probability": 0.9166259765625}], "temperature": 1.0}, {"id": 77, "seek": 219394, "start": 2166.56, "end": 2193.94, "text": "انت بتاخد عنصر عشوائي بتثبت ان ال order إله لا يساوي n مين الأسهل؟ مين الأسهل؟ أستعمل الأسطوب المباشر ولا الغير مباشر؟ أستعمل ال direct ولا ال indirect؟ الأسهل هان أستعمل ال indirect assume that J is cyclic", "tokens": [7649, 2655, 39894, 47283, 3215, 18871, 9381, 2288, 6225, 8592, 2407, 16373, 1829, 39894, 12984, 3555, 2655, 16472, 2423, 1668, 11933, 43761, 20193, 7251, 3794, 995, 45865, 297, 3714, 9957, 16247, 3794, 3224, 1211, 22807, 3714, 9957, 16247, 3794, 3224, 1211, 22807, 5551, 14851, 25957, 1211, 16247, 3794, 9566, 37746, 9673, 3555, 33599, 2288, 49429, 6024, 118, 13546, 3714, 3555, 33599, 2288, 22807, 5551, 14851, 25957, 1211, 2423, 2047, 49429, 2423, 19523, 22807, 16247, 3794, 3224, 1211, 8032, 7649, 5551, 14851, 25957, 1211, 2423, 19523, 6552, 300, 508, 307, 38154, 1050], "avg_logprob": -0.2992527050816495, "compression_ratio": 1.8121546961325967, "no_speech_prob": 0.0, "words": [{"start": 2166.56, "end": 2166.84, "word": "انت", "probability": 0.30426025390625}, {"start": 2166.84, 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{"start": 2183.92, "end": 2184.2, "word": " ولا", "probability": 0.94921875}, {"start": 2184.2, "end": 2184.34, "word": " ال", "probability": 0.90380859375}, {"start": 2184.34, "end": 2185.08, "word": " indirect؟", "probability": 0.826904296875}, {"start": 2185.08, "end": 2186.1, "word": " الأسهل", "probability": 0.9150390625}, {"start": 2186.1, "end": 2186.26, "word": " هان", "probability": 0.5439453125}, {"start": 2186.26, "end": 2186.66, "word": " أستعمل", "probability": 0.87017822265625}, {"start": 2186.66, "end": 2186.76, "word": " ال", "probability": 0.67724609375}, {"start": 2186.76, "end": 2187.04, "word": " indirect", "probability": 0.99560546875}, {"start": 2187.04, "end": 2187.56, "word": " assume", "probability": 0.52734375}, {"start": 2187.56, "end": 2191.02, "word": " that", "probability": 0.91015625}, {"start": 2191.02, "end": 2192.38, "word": " J", "probability": 0.5126953125}, {"start": 2192.38, "end": 2193.14, "word": " is", "probability": 0.927734375}, {"start": 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2304, 1829, 5296, 512, 389, 337, 512], "avg_logprob": -0.22787746816578477, "compression_ratio": 1.8983957219251337, "no_speech_prob": 0.0, "words": [{"start": 2197.53, "end": 2197.79, "word": "هذا", "probability": 0.936767578125}, {"start": 2197.79, "end": 2198.29, "word": " معناته", "probability": 0.9444986979166666}, {"start": 2198.29, "end": 2199.49, "word": " ان", "probability": 0.5185546875}, {"start": 2199.49, "end": 2199.73, "word": " الـ", "probability": 0.5992431640625}, {"start": 2199.73, "end": 2199.77, "word": " J", "probability": 0.367919921875}, {"start": 2199.77, "end": 2199.89, "word": " is", "probability": 0.210205078125}, {"start": 2199.89, "end": 2200.35, "word": " generated", "probability": 0.8515625}, {"start": 2200.35, "end": 2200.61, "word": " by", "probability": 0.921875}, {"start": 2200.61, "end": 2201.05, "word": " some", "probability": 0.84765625}, {"start": 2201.05, "end": 2202.43, "word": " A", "probability": 0.595703125}, {"start": 2202.43, "end": 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H", "probability": 0.89111328125}, {"start": 2210.09, "end": 2211.37, "word": " subgroup", "probability": 0.6444091796875}, {"start": 2211.37, "end": 2211.55, "word": " من", "probability": 0.9892578125}, {"start": 2211.55, "end": 2211.75, "word": " الـ", "probability": 0.78369140625}, {"start": 2211.75, "end": 2212.01, "word": " J", "probability": 0.82568359375}, {"start": 2212.01, "end": 2213.31, "word": " لـ", "probability": 0.95068359375}, {"start": 2213.31, "end": 2213.61, "word": " H", "probability": 0.7763671875}, {"start": 2213.61, "end": 2215.05, "word": " لأن", "probability": 0.339111328125}, {"start": 2215.05, "end": 2215.17, "word": " الـ", "probability": 0.777099609375}, {"start": 2215.17, "end": 2215.25, "word": " G", "probability": 0.59912109375}, {"start": 2215.25, "end": 2215.65, "word": " عبارة", "probability": 0.955810546875}, {"start": 2215.65, "end": 2215.81, "word": " عن", "probability": 0.99560546875}, {"start": 2215.81, "end": 2216.23, "word": " اتحاد", "probability": 0.892822265625}, {"start": 2216.23, "end": 2216.59, "word": " بربر", "probability": 0.7646484375}, {"start": 2216.59, "end": 2217.55, "word": " subgroups", "probability": 0.861328125}, {"start": 2217.55, "end": 2217.99, "word": " والـ", "probability": 0.6937255859375}, {"start": 2217.99, "end": 2218.11, "word": " A", "probability": 0.95263671875}, {"start": 2218.11, "end": 2218.23, "word": " في", "probability": 0.9521484375}, {"start": 2218.23, "end": 2218.37, "word": " الـ", "probability": 0.79931640625}, {"start": 2218.37, "end": 2218.57, "word": " J", "probability": 0.900390625}, {"start": 2218.57, "end": 2218.95, "word": " يقبل", "probability": 0.7998046875}, {"start": 2218.95, "end": 2219.33, "word": " A", "probability": 0.90771484375}, {"start": 2219.33, "end": 2220.11, "word": " موجود", "probability": 0.9602864583333334}, {"start": 2220.11, "end": 2220.21, "word": " في", "probability": 0.95751953125}, {"start": 2220.21, "end": 2220.83, "word": " الاتحاد", "probability": 0.9635009765625}, {"start": 2220.83, "end": 2221.57, "word": " هذا", "probability": 0.93212890625}, {"start": 2221.57, "end": 2222.11, "word": " معناته", "probability": 0.9847005208333334}, {"start": 2222.11, "end": 2222.49, "word": " الـ", "probability": 0.8671875}, {"start": 2222.49, "end": 2222.81, "word": " A", "probability": 0.97119140625}, {"start": 2222.81, "end": 2224.03, "word": " ينتمي", "probability": 0.9915771484375}, {"start": 2224.03, "end": 2224.15, "word": " ل", "probability": 0.92138671875}, {"start": 2224.15, "end": 2224.49, "word": " some", "probability": 0.375244140625}, {"start": 2224.49, "end": 2225.01, "word": " H", "probability": 0.97412109375}, {"start": 2225.01, "end": 2225.79, "word": " for", "probability": 0.921875}, {"start": 2225.79, "end": 2226.53, "word": " some", "probability": 0.921875}], "temperature": 1.0}, {"id": 79, "seek": 225039, "start": 2228.25, "end": 2250.39, "text": "H proper subgroup من الجيه ال A عنصر في proper subgroup من جيه من الجيه هذا معناته انه generated by ال A صارت subgroup من مين من ال H مين generated by ال A يا شباب جيه", "tokens": [39, 2296, 1422, 17377, 9154, 25724, 1829, 3224, 2423, 316, 18871, 9381, 2288, 8978, 2296, 1422, 17377, 9154, 10874, 1829, 3224, 9154, 25724, 1829, 3224, 23758, 20449, 8315, 47395, 16472, 3224, 10833, 538, 2423, 316, 20328, 9640, 2655, 1422, 17377, 9154, 3714, 9957, 9154, 2423, 389, 3714, 9957, 10833, 538, 2423, 316, 35186, 13412, 3555, 16758, 10874, 1829, 3224], "avg_logprob": -0.34374999354283015, "compression_ratio": 1.7407407407407407, "no_speech_prob": 0.0, "words": [{"start": 2228.25, "end": 2229.13, "word": "H", "probability": 0.427978515625}, {"start": 2229.13, "end": 2230.01, "word": " proper", "probability": 0.28564453125}, {"start": 2230.01, "end": 2230.61, "word": " subgroup", "probability": 0.795166015625}, {"start": 2230.61, "end": 2230.81, "word": " من", "probability": 0.98681640625}, {"start": 2230.81, "end": 2231.27, "word": " الجيه", "probability": 0.6276041666666666}, {"start": 2231.27, "end": 2232.61, "word": " ال", "probability": 0.65673828125}, {"start": 2232.61, "end": 2232.89, "word": " A", "probability": 0.39013671875}, {"start": 2232.89, "end": 2233.65, "word": " عنصر", "probability": 0.9482421875}, {"start": 2233.65, "end": 2233.83, "word": " في", "probability": 0.397216796875}, {"start": 2233.83, "end": 2234.19, "word": " proper", "probability": 0.8701171875}, {"start": 2234.19, "end": 2234.89, "word": " subgroup", "probability": 0.948974609375}, {"start": 2234.89, "end": 2235.11, "word": " من", "probability": 0.9794921875}, {"start": 2235.11, "end": 2236.53, "word": " جيه", "probability": 0.7941080729166666}, {"start": 2236.53, "end": 2236.79, "word": " من", "probability": 0.26953125}, {"start": 2236.79, "end": 2237.23, "word": " الجيه", "probability": 0.9347330729166666}, {"start": 2237.23, "end": 2238.97, "word": " هذا", "probability": 0.75830078125}, {"start": 2238.97, "end": 2239.53, "word": " معناته", "probability": 0.9619140625}, {"start": 2239.53, "end": 2239.91, "word": " انه", "probability": 0.654052734375}, {"start": 2239.91, "end": 2240.41, "word": " generated", "probability": 0.6884765625}, {"start": 2240.41, "end": 2240.81, "word": " by", "probability": 0.95458984375}, {"start": 2240.81, "end": 2241.03, "word": " ال", "probability": 0.81982421875}, {"start": 2241.03, "end": 2241.27, "word": " A", "probability": 0.90966796875}, {"start": 2241.27, "end": 2242.83, "word": " صارت", "probability": 0.708984375}, {"start": 2242.83, "end": 2243.37, "word": " subgroup", "probability": 0.931884765625}, {"start": 2243.37, "end": 2243.57, "word": " من", "probability": 0.98876953125}, {"start": 2243.57, "end": 2243.87, "word": " مين", "probability": 0.57611083984375}, {"start": 2243.87, "end": 2245.71, "word": " من", "probability": 0.59130859375}, {"start": 2245.71, "end": 2245.87, "word": " ال", "probability": 0.86669921875}, {"start": 2245.87, "end": 2246.31, "word": " H", "probability": 0.91796875}, {"start": 2246.31, "end": 2247.35, "word": " مين", "probability": 0.617431640625}, {"start": 2247.35, "end": 2247.79, "word": " generated", "probability": 0.62353515625}, {"start": 2247.79, "end": 2248.03, "word": " by", "probability": 0.96337890625}, {"start": 2248.03, "end": 2248.17, "word": " ال", "probability": 0.41748046875}, {"start": 2248.17, "end": 2248.21, "word": " A", "probability": 0.91796875}, {"start": 2248.21, "end": 2248.39, "word": " يا", "probability": 0.72998046875}, {"start": 2248.39, "end": 2248.67, "word": " شباب", "probability": 0.9900716145833334}, {"start": 2248.67, "end": 2250.39, "word": " جيه", "probability": 0.7344563802083334}], "temperature": 1.0}, {"id": 80, "seek": 228385, "start": 2256.01, "end": 2283.85, "text": "J subgroup من الـH و الـH أصلا subgroup من مين من الـJ صارت الـJ subgroup من بوبر subgroup منها يعني المبنى اللي انت فيه صار جزء من الغرفة تخيل كيف المبنى طيبة صار جزء من الغرفة اللي انت فيها هنا", "tokens": [41, 1422, 17377, 9154, 2423, 39184, 39, 4032, 2423, 39184, 39, 5551, 9381, 15040, 1422, 17377, 9154, 3714, 9957, 9154, 2423, 39184, 41, 20328, 9640, 2655, 2423, 39184, 41, 1422, 17377, 9154, 4724, 37746, 2288, 1422, 17377, 9154, 11296, 37495, 22653, 9673, 3555, 1863, 7578, 13672, 1829, 16472, 2655, 8978, 3224, 20328, 9640, 10874, 11622, 38207, 9154, 6024, 118, 28480, 3660, 6055, 9778, 26895, 9122, 33911, 9673, 3555, 1863, 7578, 23032, 1829, 49401, 20328, 9640, 10874, 11622, 38207, 9154, 6024, 118, 28480, 3660, 13672, 1829, 16472, 2655, 8978, 11296, 34105], "avg_logprob": -0.26270604395604397, "compression_ratio": 2.038961038961039, "no_speech_prob": 0.0, "words": [{"start": 2256.0099999999998, "end": 2256.93, "word": "J", "probability": 0.1834716796875}, {"start": 2256.93, "end": 2257.85, "word": " subgroup", "probability": 0.46502685546875}, {"start": 2257.85, "end": 2258.03, "word": " من", "probability": 0.9716796875}, {"start": 2258.03, "end": 2258.43, "word": " الـH", "probability": 0.52880859375}, {"start": 2258.43, "end": 2258.67, "word": " و", "probability": 0.2471923828125}, {"start": 2258.67, "end": 2259.11, "word": " الـH", "probability": 0.787109375}, {"start": 2259.11, "end": 2259.81, "word": " أصلا", "probability": 0.9093424479166666}, {"start": 2259.81, "end": 2261.73, "word": " subgroup", "probability": 0.727783203125}, {"start": 2261.73, "end": 2261.89, "word": " من", "probability": 0.96875}, {"start": 2261.89, "end": 2262.17, "word": " مين", "probability": 0.54437255859375}, {"start": 2262.17, "end": 2264.29, "word": " من", "probability": 0.33349609375}, {"start": 2264.29, "end": 2264.73, "word": " الـJ", "probability": 0.87060546875}, {"start": 2264.73, "end": 2265.59, "word": " صارت", "probability": 0.7677408854166666}, {"start": 2265.59, "end": 2266.07, "word": " الـJ", "probability": 0.9280598958333334}, {"start": 2266.07, "end": 2267.31, "word": " subgroup", "probability": 0.8310546875}, {"start": 2267.31, "end": 2267.61, "word": " من", "probability": 0.970703125}, {"start": 2267.61, "end": 2268.07, "word": " بوبر", "probability": 0.4839680989583333}, {"start": 2268.07, "end": 2268.65, "word": " subgroup", "probability": 0.6688232421875}, {"start": 2268.65, "end": 2269.15, "word": " منها", "probability": 0.98828125}, {"start": 2269.15, "end": 2272.19, "word": " يعني", "probability": 0.89697265625}, {"start": 2272.19, "end": 2272.69, "word": " المبنى", "probability": 0.9769287109375}, {"start": 2272.69, "end": 2272.83, "word": " اللي", "probability": 0.775146484375}, {"start": 2272.83, "end": 2273.09, "word": " انت", "probability": 0.760009765625}, {"start": 2273.09, "end": 2273.97, "word": " فيه", "probability": 0.986328125}, {"start": 2273.97, "end": 2274.43, "word": " صار", "probability": 0.96728515625}, {"start": 2274.43, "end": 2274.77, "word": " جزء", "probability": 0.9959309895833334}, {"start": 2274.77, "end": 2274.97, "word": " من", "probability": 0.99462890625}, {"start": 2274.97, "end": 2277.17, "word": " الغرفة", "probability": 0.968505859375}, {"start": 2277.17, "end": 2278.89, "word": " تخيل", "probability": 0.6909993489583334}, {"start": 2278.89, "end": 2279.35, "word": " كيف", "probability": 0.8212890625}, {"start": 2279.35, "end": 2280.23, "word": " المبنى", "probability": 0.9029541015625}, {"start": 2280.23, "end": 2281.61, "word": " طيبة", "probability": 0.8336588541666666}, {"start": 2281.61, "end": 2282.29, "word": " صار", "probability": 0.947998046875}, {"start": 2282.29, "end": 2282.53, "word": " جزء", "probability": 0.9943033854166666}, {"start": 2282.53, "end": 2282.67, "word": " من", "probability": 0.9892578125}, {"start": 2282.67, "end": 2283.09, "word": " الغرفة", "probability": 0.96337890625}, {"start": 2283.09, "end": 2283.21, "word": " اللي", "probability": 0.96240234375}, {"start": 2283.21, "end": 2283.37, "word": " انت", "probability": 0.89892578125}, {"start": 2283.37, "end": 2283.63, "word": " فيها", "probability": 0.94189453125}, {"start": 2283.63, "end": 2283.85, "word": " هنا", "probability": 0.67138671875}], "temperature": 1.0}, {"id": 81, "seek": 231316, "start": 2284.74, "end": 2313.16, "text": "طب و الناس اللي برا الغرفة وين موجودين؟ صارت تناقض لإنه حاسيب معاك ال J بوبر sub group من نفسها و هذا مستحيل تناقض contradiction so J is not cyclic و أصلا ال H بوبر صحيح", "tokens": [9566, 3555, 4032, 2423, 8315, 3794, 13672, 1829, 4724, 23557, 6024, 118, 28480, 3660, 4032, 9957, 3714, 29245, 23328, 9957, 22807, 20328, 9640, 2655, 6055, 8315, 4587, 11242, 5296, 28814, 1863, 3224, 11331, 32277, 1829, 3555, 20449, 995, 4117, 2423, 508, 4724, 37746, 2288, 1422, 1594, 9154, 8717, 36178, 11296, 4032, 23758, 3714, 14851, 5016, 26895, 6055, 8315, 4587, 11242, 34937, 370, 508, 307, 406, 38154, 1050, 4032, 5551, 9381, 15040, 2423, 389, 4724, 37746, 2288, 20328, 5016, 1829, 5016], "avg_logprob": -0.2654321105391891, "compression_ratio": 1.4074074074074074, "no_speech_prob": 0.0, "words": [{"start": 2284.74, "end": 2284.96, "word": "طب", "probability": 0.6221923828125}, {"start": 2284.96, "end": 2285.08, "word": " و", "probability": 0.4189453125}, {"start": 2285.08, "end": 2285.28, "word": " الناس", "probability": 0.9723307291666666}, {"start": 2285.28, "end": 2285.46, "word": " اللي", "probability": 0.79931640625}, {"start": 2285.46, "end": 2285.72, "word": " برا", "probability": 0.90673828125}, {"start": 2285.72, "end": 2286.52, "word": " الغرفة", "probability": 0.975830078125}, {"start": 2286.52, "end": 2286.74, "word": " وين", "probability": 0.6103515625}, {"start": 2286.74, "end": 2288.82, "word": " موجودين؟", "probability": 0.9091796875}, {"start": 2288.82, "end": 2290.16, "word": " صارت", "probability": 0.61962890625}, {"start": 2290.16, "end": 2290.7, "word": " تناقض", "probability": 0.9530029296875}, {"start": 2290.7, "end": 2291.54, "word": " لإنه", "probability": 0.65167236328125}, {"start": 2291.54, "end": 2291.88, "word": " حاسيب", "probability": 0.7879638671875}, {"start": 2291.88, "end": 2292.14, "word": " معاك", "probability": 0.9739583333333334}, {"start": 2292.14, "end": 2292.32, "word": " ال", "probability": 0.916015625}, {"start": 2292.32, "end": 2292.54, "word": " J", "probability": 0.353271484375}, {"start": 2292.54, "end": 2293.58, "word": " بوبر", "probability": 0.5370686848958334}, {"start": 2293.58, "end": 2294.32, "word": " sub", "probability": 0.66748046875}, {"start": 2294.32, "end": 2294.62, "word": " group", "probability": 0.53271484375}, {"start": 2294.62, "end": 2294.8, "word": " من", "probability": 0.568359375}, {"start": 2294.8, "end": 2295.36, "word": " نفسها", "probability": 0.9796549479166666}, {"start": 2295.36, "end": 2295.86, "word": " و", "probability": 0.72216796875}, {"start": 2295.86, "end": 2296.0, "word": " هذا", "probability": 0.471923828125}, {"start": 2296.0, "end": 2296.64, "word": " مستحيل", "probability": 0.98388671875}, {"start": 2296.64, "end": 2298.34, "word": " تناقض", "probability": 0.9683837890625}, {"start": 2298.34, "end": 2298.86, "word": " contradiction", "probability": 0.73291015625}, {"start": 2298.86, "end": 2300.32, "word": " so", "probability": 0.4755859375}, {"start": 2300.32, "end": 2301.26, "word": " J", "probability": 0.73291015625}, {"start": 2301.26, "end": 2301.66, "word": " is", "probability": 0.9521484375}, {"start": 2301.66, "end": 2302.02, "word": " not", "probability": 0.94970703125}, {"start": 2302.02, "end": 2305.4, "word": " cyclic", "probability": 0.83642578125}, {"start": 2305.4, "end": 2309.66, "word": " و", "probability": 0.51123046875}, {"start": 2309.66, "end": 2309.98, "word": " أصلا", "probability": 0.6961263020833334}, {"start": 2309.98, "end": 2310.12, "word": " ال", "probability": 0.9541015625}, {"start": 2310.12, "end": 2310.26, "word": " H", "probability": 0.927734375}, {"start": 2310.26, "end": 2310.76, "word": " بوبر", "probability": 0.9361979166666666}, {"start": 2310.76, "end": 2313.16, "word": " صحيح", "probability": 0.85943603515625}], "temperature": 1.0}, {"id": 82, "seek": 234726, "start": 2319.82, "end": 2347.26, "text": "طيب الجزء التاني لسه شوف قارط سؤال كويس احنا بنثبت ان ال J اتحاد مجموعات جزئية proper منها if and only if هي مش cyclic فلو كانت اتحاد ل proper subgroup اثبتت انها مش cyclic لان لو كانت cyclic هسي في مشكلة", "tokens": [9566, 1829, 3555, 25724, 11622, 38207, 16712, 7649, 1829, 5296, 3794, 3224, 13412, 38688, 12174, 9640, 9566, 8608, 33604, 6027, 9122, 45865, 3794, 1975, 5016, 8315, 44945, 12984, 3555, 2655, 16472, 2423, 508, 1975, 2655, 5016, 18513, 3714, 7435, 2304, 45367, 9307, 10874, 11622, 19986, 10632, 2296, 9154, 11296, 498, 293, 787, 498, 39896, 37893, 38154, 1050, 6156, 1211, 2407, 25961, 2655, 1975, 2655, 5016, 18513, 5296, 2296, 1422, 17377, 1975, 12984, 3555, 2655, 2655, 16472, 11296, 37893, 38154, 1050, 5296, 7649, 45164, 25961, 2655, 38154, 1050, 8032, 3794, 1829, 8978, 37893, 28820, 3660], "avg_logprob": -0.2361842155456543, "compression_ratio": 1.5771144278606966, "no_speech_prob": 0.0, "words": [{"start": 2319.82, "end": 2320.2, "word": "طيب", "probability": 0.796630859375}, {"start": 2320.2, "end": 2320.54, "word": " الجزء", "probability": 0.8528645833333334}, {"start": 2320.54, "end": 2320.86, "word": " التاني", "probability": 0.86279296875}, {"start": 2320.86, "end": 2321.14, "word": " لسه", "probability": 0.9371744791666666}, {"start": 2321.14, "end": 2326.98, "word": " شوف", "probability": 0.517547607421875}, {"start": 2326.98, "end": 2327.88, "word": " قارط", "probability": 0.5794270833333334}, {"start": 2327.88, "end": 2328.08, "word": " سؤال", "probability": 0.9158528645833334}, {"start": 2328.08, "end": 2328.5, "word": " كويس", "probability": 0.8846028645833334}, {"start": 2328.5, "end": 2330.54, "word": " احنا", "probability": 0.8863932291666666}, {"start": 2330.54, "end": 2330.98, "word": " بنثبت", "probability": 0.968994140625}, {"start": 2330.98, "end": 2331.14, "word": " ان", "probability": 0.7568359375}, {"start": 2331.14, "end": 2331.3, "word": " ال", "probability": 0.67431640625}, {"start": 2331.3, "end": 2331.5, "word": " J", "probability": 0.356201171875}, {"start": 2331.5, "end": 2332.62, "word": " اتحاد", "probability": 0.9189453125}, {"start": 2332.62, "end": 2333.6, "word": " مجموعات", "probability": 0.96904296875}, {"start": 2333.6, "end": 2334.4, "word": " جزئية", "probability": 0.94775390625}, {"start": 2334.4, "end": 2334.72, "word": " proper", "probability": 0.8681640625}, {"start": 2334.72, "end": 2335.28, "word": " منها", "probability": 0.99072265625}, {"start": 2335.28, "end": 2337.0, "word": " if", "probability": 0.90869140625}, {"start": 2337.0, "end": 2337.24, "word": " and", "probability": 0.9521484375}, {"start": 2337.24, "end": 2337.54, "word": " only", "probability": 0.90869140625}, {"start": 2337.54, "end": 2337.92, "word": " if", "probability": 0.9775390625}, {"start": 2337.92, "end": 2338.16, "word": " هي", "probability": 0.8671875}, {"start": 2338.16, "end": 2338.54, "word": " مش", "probability": 0.994140625}, {"start": 2338.54, "end": 2339.48, "word": " cyclic", "probability": 0.780517578125}, {"start": 2339.48, "end": 2340.24, "word": " فلو", "probability": 0.6072184244791666}, {"start": 2340.24, "end": 2340.62, "word": " كانت", "probability": 0.988037109375}, {"start": 2340.62, "end": 2341.18, "word": " اتحاد", "probability": 0.9718017578125}, {"start": 2341.18, "end": 2341.64, "word": " ل", "probability": 0.309326171875}, {"start": 2341.64, "end": 2341.9, "word": " proper", "probability": 0.4384765625}, {"start": 2341.9, "end": 2342.54, "word": " subgroup", "probability": 0.647705078125}, {"start": 2342.54, "end": 2343.26, "word": " اثبتت", "probability": 0.77373046875}, {"start": 2343.26, "end": 2343.38, "word": " انها", "probability": 0.70166015625}, {"start": 2343.38, "end": 2343.5, "word": " مش", "probability": 0.99267578125}, {"start": 2343.5, "end": 2344.0, "word": " cyclic", "probability": 0.884033203125}, {"start": 2344.0, "end": 2345.5, "word": " لان", "probability": 0.6962890625}, {"start": 2345.5, "end": 2345.68, "word": " لو", "probability": 0.95263671875}, {"start": 2345.68, "end": 2346.02, "word": " كانت", "probability": 0.989501953125}, {"start": 2346.02, "end": 2346.28, "word": " cyclic", "probability": 0.854248046875}, {"start": 2346.28, "end": 2346.58, "word": " هسي", "probability": 0.6805013020833334}, {"start": 2346.58, "end": 2346.72, "word": " في", "probability": 0.63720703125}, {"start": 2346.72, "end": 2347.26, "word": " مشكلة", "probability": 0.8955078125}], "temperature": 1.0}, {"id": 83, "seek": 237496, "start": 2348.15, "end": 2374.97, "text": "يقبل جيه not cyclic حاجة تنتج الاتجاه العكسي نقول assume that جيه is not cyclic اش يعني يعني لكل a في الجيه generated by ال a لا يساوي الجيه اش يعني", "tokens": [1829, 4587, 36150, 10874, 1829, 3224, 406, 38154, 1050, 11331, 26108, 3660, 6055, 29399, 7435, 2423, 9307, 7435, 40294, 18863, 4117, 3794, 1829, 8717, 39648, 6552, 300, 10874, 1829, 3224, 307, 406, 38154, 1050, 1975, 8592, 37495, 22653, 37495, 22653, 5296, 28820, 257, 8978, 25724, 1829, 3224, 10833, 538, 2423, 257, 20193, 7251, 3794, 995, 45865, 25724, 1829, 3224, 1975, 8592, 37495, 22653], "avg_logprob": -0.3203125102445483, "compression_ratio": 1.5486111111111112, "no_speech_prob": 0.0, "words": [{"start": 2348.15, "end": 2348.49, "word": "يقبل", "probability": 0.605712890625}, {"start": 2348.49, "end": 2348.73, "word": " جيه", "probability": 0.5187174479166666}, {"start": 2348.73, "end": 2348.87, "word": " not", "probability": 0.470703125}, {"start": 2348.87, "end": 2349.37, "word": " cyclic", "probability": 0.82958984375}, {"start": 2349.37, "end": 2349.85, "word": " حاجة", "probability": 0.5394287109375}, {"start": 2349.85, "end": 2350.07, "word": " تنتج", "probability": 0.6072591145833334}, {"start": 2350.07, "end": 2350.47, "word": " الاتجاه", "probability": 0.81170654296875}, {"start": 2350.47, "end": 2351.23, "word": " العكسي", "probability": 0.873046875}, {"start": 2351.23, "end": 2351.87, "word": " نقول", "probability": 0.6339111328125}, {"start": 2351.87, "end": 2352.47, "word": " assume", "probability": 0.783203125}, {"start": 2352.47, "end": 2356.59, "word": " that", "probability": 0.85986328125}, {"start": 2356.59, "end": 2358.53, "word": " جيه", "probability": 0.8357747395833334}, {"start": 2358.53, "end": 2359.31, "word": " is", "probability": 0.85888671875}, {"start": 2359.31, "end": 2359.75, "word": " not", "probability": 0.9638671875}, {"start": 2359.75, "end": 2362.31, "word": " cyclic", "probability": 0.857421875}, {"start": 2362.31, "end": 2362.85, "word": " اش", "probability": 0.62255859375}, {"start": 2362.85, "end": 2363.25, "word": " يعني", "probability": 0.90869140625}, {"start": 2363.25, "end": 2366.53, "word": " يعني", "probability": 0.6939697265625}, {"start": 2366.53, "end": 2367.25, "word": " لكل", "probability": 0.951904296875}, {"start": 2367.25, "end": 2367.57, "word": " a", "probability": 0.5087890625}, {"start": 2367.57, "end": 2367.73, "word": " في", "probability": 0.96484375}, {"start": 2367.73, "end": 2369.57, "word": " الجيه", "probability": 0.8567708333333334}, {"start": 2369.57, "end": 2371.31, "word": " generated", "probability": 0.80322265625}, {"start": 2371.31, "end": 2371.65, "word": " by", "probability": 0.9609375}, {"start": 2371.65, "end": 2371.91, "word": " ال", "probability": 0.81591796875}, {"start": 2371.91, "end": 2372.07, "word": " a", "probability": 0.68994140625}, {"start": 2372.07, "end": 2372.23, "word": " لا", "probability": 0.50146484375}, {"start": 2372.23, "end": 2372.69, "word": " يساوي", "probability": 0.81787109375}, {"start": 2372.69, "end": 2373.43, "word": " الجيه", "probability": 0.8326822916666666}, {"start": 2373.43, "end": 2374.67, "word": " اش", "probability": 0.91259765625}, {"start": 2374.67, "end": 2374.97, "word": " يعني", "probability": 0.956787109375}], "temperature": 1.0}, {"id": 84, "seek": 240206, "start": 2377.08, "end": 2402.06, "text": "يعني generated by ال A ال proper subset من مين؟ من ال J هذا معناته الاتحاد A في ال J مش كلهم subset من ال J فالاتحاد تبعه مش هيكون", "tokens": [40228, 22653, 10833, 538, 2423, 316, 2423, 2296, 25993, 9154, 3714, 9957, 22807, 9154, 2423, 508, 23758, 20449, 8315, 47395, 2423, 9307, 5016, 18513, 316, 8978, 2423, 508, 37893, 28242, 16095, 25993, 9154, 2423, 508, 6156, 6027, 9307, 5016, 18513, 6055, 3555, 3615, 3224, 37893, 39896, 30544], "avg_logprob": -0.20605469029396772, "compression_ratio": 1.4485294117647058, "no_speech_prob": 0.0, "words": [{"start": 2377.08, "end": 2377.48, "word": "يعني", "probability": 0.944091796875}, {"start": 2377.48, "end": 2378.0, "word": " generated", "probability": 0.32275390625}, {"start": 2378.0, "end": 2378.42, "word": " by", "probability": 0.96826171875}, {"start": 2378.42, "end": 2378.64, "word": " ال", "probability": 0.8134765625}, {"start": 2378.64, "end": 2378.88, "word": " A", "probability": 0.20703125}, {"start": 2378.88, "end": 2380.28, "word": " ال", "probability": 0.80029296875}, {"start": 2380.28, "end": 2380.62, "word": " proper", "probability": 0.8544921875}, {"start": 2380.62, "end": 2381.1, "word": " subset", "probability": 0.95068359375}, {"start": 2381.1, "end": 2381.38, "word": " من", "probability": 0.9931640625}, {"start": 2381.38, "end": 2382.42, "word": " مين؟", "probability": 0.7042643229166666}, {"start": 2382.42, "end": 2383.2, "word": " من", "probability": 0.90234375}, {"start": 2383.2, "end": 2383.38, "word": " ال", "probability": 0.6044921875}, {"start": 2383.38, "end": 2383.52, "word": " J", "probability": 0.56689453125}, {"start": 2383.52, "end": 2387.72, "word": " هذا", "probability": 0.62841796875}, {"start": 2387.72, "end": 2388.36, "word": " معناته", "probability": 0.9864908854166666}, {"start": 2388.36, "end": 2389.58, "word": " الاتحاد", "probability": 0.881591796875}, {"start": 2389.58, "end": 2390.16, "word": " A", "probability": 0.91748046875}, {"start": 2390.16, "end": 2391.58, "word": " في", "probability": 0.91259765625}, {"start": 2391.58, "end": 2391.76, "word": " ال", "probability": 0.71484375}, {"start": 2391.76, "end": 2392.04, "word": " J", "probability": 0.822265625}, {"start": 2392.04, "end": 2395.56, "word": " مش", "probability": 0.35205078125}, {"start": 2395.56, "end": 2396.34, "word": " كلهم", "probability": 0.97802734375}, {"start": 2396.34, "end": 2397.8, "word": " subset", "probability": 0.9541015625}, {"start": 2397.8, "end": 2398.08, "word": " من", "probability": 0.99755859375}, {"start": 2398.08, "end": 2398.26, "word": " ال", "probability": 0.8046875}, {"start": 2398.26, "end": 2398.54, "word": " J", "probability": 0.94287109375}, {"start": 2398.54, "end": 2401.16, "word": " فالاتحاد", "probability": 0.98056640625}, {"start": 2401.16, "end": 2401.5, "word": " تبعه", "probability": 0.857421875}, {"start": 2401.5, "end": 2401.64, "word": " مش", "probability": 0.962890625}, {"start": 2401.64, "end": 2402.06, "word": " هيكون", "probability": 0.913818359375}], "temperature": 1.0}, {"id": 85, "seek": 243194, "start": 2405.46, "end": 2431.94, "text": "كل واحد من هدول subset من ال j فاتحادهم هيظل subset من ال j طبعا انا بتكلم عليهم كاتحاد ك set مش ك subgroup لإن لو عندك two subgroup الاتحاد تبعه مش ضرر يكون subgroup اعطيها واحد now if a في ال j", "tokens": [28820, 36764, 24401, 9154, 8032, 3215, 12610, 2090, 302, 9154, 2423, 361, 6156, 9307, 5016, 18513, 16095, 8032, 1829, 19913, 1211, 2090, 302, 9154, 2423, 361, 23032, 3555, 3615, 995, 1975, 8315, 39894, 4117, 19528, 25894, 16095, 9122, 9307, 5016, 18513, 9122, 992, 37893, 9122, 1422, 17377, 5296, 28814, 1863, 45164, 43242, 4117, 732, 1422, 17377, 2423, 9307, 5016, 18513, 6055, 3555, 3615, 3224, 37893, 48812, 2288, 2288, 7251, 30544, 1422, 17377, 1975, 3615, 9566, 1829, 11296, 36764, 24401, 586, 498, 257, 8978, 2423, 361], "avg_logprob": -0.2441860466848972, "compression_ratio": 1.706896551724138, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2405.46, "end": 2405.82, "word": "كل", "probability": 0.8486328125}, {"start": 2405.82, "end": 2406.16, "word": " واحد", "probability": 0.9873046875}, {"start": 2406.16, "end": 2406.34, "word": " من", "probability": 0.94384765625}, {"start": 2406.34, "end": 2406.58, "word": " هدول", "probability": 0.61328125}, {"start": 2406.58, "end": 2406.96, "word": " subset", "probability": 0.5386962890625}, {"start": 2406.96, "end": 2407.1, "word": " من", "probability": 0.9755859375}, {"start": 2407.1, "end": 2407.26, "word": " ال", "probability": 0.5361328125}, {"start": 2407.26, "end": 2407.38, "word": " j", "probability": 0.19287109375}, {"start": 2407.38, "end": 2409.14, "word": " فاتحادهم", "probability": 0.8880859375}, {"start": 2409.14, "end": 2410.22, "word": " هيظل", "probability": 0.67755126953125}, {"start": 2410.22, "end": 2410.72, "word": " subset", "probability": 0.78076171875}, {"start": 2410.72, "end": 2410.86, "word": " من", "probability": 0.9873046875}, {"start": 2410.86, "end": 2411.04, "word": " ال", "probability": 0.767578125}, {"start": 2411.04, "end": 2411.18, "word": " j", "probability": 0.82861328125}, {"start": 2411.18, "end": 2416.02, "word": " طبعا", "probability": 0.7982177734375}, {"start": 2416.02, "end": 2416.2, "word": " انا", "probability": 0.77099609375}, {"start": 2416.2, "end": 2416.68, "word": " بتكلم", "probability": 0.9169921875}, {"start": 2416.68, "end": 2417.16, "word": " عليهم", "probability": 0.9736328125}, {"start": 2417.16, "end": 2418.08, "word": " كاتحاد", "probability": 0.97607421875}, {"start": 2418.08, "end": 2419.18, "word": " ك", "probability": 0.9248046875}, {"start": 2419.18, "end": 2419.48, "word": " set", "probability": 0.728515625}, {"start": 2419.48, "end": 2419.92, "word": " مش", "probability": 0.93896484375}, {"start": 2419.92, "end": 2420.1, "word": " ك", "probability": 0.7451171875}, {"start": 2420.1, "end": 2420.64, "word": " subgroup", "probability": 0.6397705078125}, {"start": 2420.64, "end": 2421.0, "word": " لإن", "probability": 0.806640625}, {"start": 2421.0, "end": 2421.2, "word": " لو", "probability": 0.34228515625}, {"start": 2421.2, "end": 2421.52, "word": " عندك", "probability": 0.961669921875}, {"start": 2421.52, "end": 2421.62, "word": " two", "probability": 0.8701171875}, {"start": 2421.62, "end": 2422.06, "word": " subgroup", "probability": 0.96875}, {"start": 2422.06, "end": 2422.46, "word": " الاتحاد", "probability": 0.917724609375}, {"start": 2422.46, "end": 2422.86, "word": " تبعه", "probability": 0.753173828125}, {"start": 2422.86, "end": 2423.04, "word": " مش", "probability": 0.9755859375}, {"start": 2423.04, "end": 2423.36, "word": " ضرر", "probability": 0.6424153645833334}, {"start": 2423.36, "end": 2423.78, "word": " يكون", "probability": 0.989013671875}, {"start": 2423.78, "end": 2425.06, "word": " subgroup", "probability": 0.96875}, {"start": 2425.06, "end": 2426.28, "word": " اعطيها", "probability": 0.918359375}, {"start": 2426.28, "end": 2426.74, "word": " واحد", "probability": 0.97705078125}, {"start": 2426.74, "end": 2429.38, "word": " now", "probability": 0.54638671875}, {"start": 2429.38, "end": 2431.14, "word": " if", "probability": 0.6953125}, {"start": 2431.14, "end": 2431.44, "word": " a", "probability": 0.79345703125}, {"start": 2431.44, "end": 2431.6, "word": " في", "probability": 0.88134765625}, {"start": 2431.6, "end": 2431.72, "word": " ال", "probability": 0.890625}, {"start": 2431.72, "end": 2431.94, "word": " j", "probability": 0.9052734375}], "temperature": 1.0}, {"id": 86, "seek": 245656, "start": 2433.36, "end": 2456.56, "text": "ف a ينتمي ل generated by ال a ف a ينتمي لل union يعني ال j صارت subset من ال union و اعطيها اتنين واحد و اتنين هتصير ال j هي الاتحاد", "tokens": [5172, 257, 7251, 29399, 2304, 1829, 5296, 10833, 538, 2423, 257, 6156, 257, 7251, 29399, 2304, 1829, 24976, 11671, 37495, 22653, 2423, 361, 20328, 9640, 2655, 25993, 9154, 2423, 11671, 4032, 1975, 3615, 9566, 1829, 11296, 1975, 2655, 1863, 9957, 36764, 24401, 4032, 1975, 2655, 1863, 9957, 8032, 2655, 9381, 13546, 2423, 361, 39896, 2423, 9307, 5016, 18513], "avg_logprob": -0.16896186440677965, "compression_ratio": 1.5112781954887218, "no_speech_prob": 0.0, "words": [{"start": 2433.36, "end": 2433.6, "word": "ف", "probability": 0.89794921875}, {"start": 2433.6, "end": 2433.92, "word": " a", "probability": 0.255615234375}, {"start": 2433.92, "end": 2434.66, "word": " ينتمي", "probability": 0.84228515625}, {"start": 2434.66, "end": 2434.74, "word": " ل", "probability": 0.8447265625}, {"start": 2434.74, "end": 2435.22, "word": " generated", "probability": 0.44921875}, {"start": 2435.22, "end": 2435.62, "word": " by", "probability": 0.9814453125}, {"start": 2435.62, "end": 2435.86, "word": " ال", "probability": 0.87548828125}, {"start": 2435.86, "end": 2436.1, "word": " a", "probability": 0.478515625}, {"start": 2436.1, "end": 2437.02, "word": " ف", "probability": 0.791015625}, {"start": 2437.02, "end": 2437.3, "word": " a", "probability": 0.75390625}, {"start": 2437.3, "end": 2437.9, "word": " ينتمي", "probability": 0.989013671875}, {"start": 2437.9, "end": 2438.02, "word": " لل", "probability": 0.521484375}, {"start": 2438.02, "end": 2438.44, "word": " union", "probability": 0.951171875}, {"start": 2438.44, "end": 2441.98, "word": " يعني", "probability": 0.878662109375}, {"start": 2441.98, "end": 2442.9, "word": " ال", "probability": 0.8125}, {"start": 2442.9, "end": 2443.08, "word": " j", "probability": 0.5927734375}, {"start": 2443.08, "end": 2443.56, "word": " صارت", "probability": 0.96826171875}, {"start": 2443.56, "end": 2444.16, "word": " subset", "probability": 0.89501953125}, {"start": 2444.16, "end": 2444.74, "word": " من", "probability": 0.99462890625}, {"start": 2444.74, "end": 2444.9, "word": " ال", "probability": 0.98095703125}, {"start": 2444.9, "end": 2445.28, "word": " union", "probability": 0.97509765625}, {"start": 2445.28, "end": 2449.44, "word": " و", "probability": 0.76611328125}, {"start": 2449.44, "end": 2449.74, "word": " اعطيها", "probability": 0.849609375}, {"start": 2449.74, "end": 2450.38, "word": " اتنين", "probability": 0.873779296875}, {"start": 2450.38, "end": 2451.66, "word": " واحد", "probability": 0.876220703125}, {"start": 2451.66, "end": 2451.8, "word": " و", "probability": 0.9619140625}, {"start": 2451.8, "end": 2452.22, "word": " اتنين", "probability": 0.9683837890625}, {"start": 2452.22, "end": 2454.14, "word": " هتصير", "probability": 0.8585205078125}, {"start": 2454.14, "end": 2454.3, "word": " ال", "probability": 0.90771484375}, {"start": 2454.3, "end": 2454.56, "word": " j", "probability": 0.83544921875}, {"start": 2454.56, "end": 2455.62, "word": " هي", "probability": 0.85498046875}, {"start": 2455.62, "end": 2456.56, "word": " الاتحاد", "probability": 0.98046875}], "temperature": 1.0}, {"id": 87, "seek": 248742, "start": 2459.6, "end": 2487.42, "text": "صارت الجي عبارة عن اتحاد subgroup منها وكل واحدة منهم هدولة اشملها with generated by ال a is a proper subgroup of جي لكل a في الجي صارت عبارة عن اتحاد proper subgroup", "tokens": 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{"start": 2566.81, "end": 2568.83, "word": " النسبية", "probability": 0.90087890625}, {"start": 2568.83, "end": 2569.35, "word": " الموجبة", "probability": 0.8995768229166666}], "temperature": 1.0}, {"id": 90, "seek": 259948, "start": 2570.63, "end": 2599.49, "text": "هأقول assume الـ Q generated by some a على b with the greatest common divisor ل a و b بدي يسوي واحد حيث ال a و ال b موجودين في ال initial number طب علشان ماخدتهمش في ال z لإن أنا بتعامل مع مين؟ مع positive", "tokens": [3224, 10721, 39648, 6552, 2423, 39184, 1249, 10833, 538, 512, 257, 15844, 272, 365, 264, 6636, 2689, 25974, 284, 5296, 257, 4032, 272, 4724, 16254, 7251, 3794, 45865, 36764, 24401, 11331, 1829, 12984, 2423, 257, 4032, 2423, 272, 3714, 29245, 23328, 9957, 8978, 2423, 5883, 1230, 23032, 3555, 11203, 8592, 7649, 3714, 47283, 3215, 2655, 16095, 8592, 8978, 2423, 710, 5296, 28814, 1863, 41850, 39894, 3615, 10943, 1211, 20449, 3714, 9957, 22807, 20449, 3353], "avg_logprob": -0.34041667143503823, 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قص أن طبعا .. طبعا clearly أن لا يساوي zero لأن التنين لا يساوي a على b قص صفر ليها واحد also", "tokens": [3224, 1829, 16712, 1863, 9957, 4724, 28259, 6055, 3794, 995, 45865, 257, 15844, 272, 12174, 9381, 14739, 23032, 3555, 3615, 995, 4386, 23032, 3555, 3615, 995, 4448, 14739, 20193, 7251, 3794, 995, 45865, 4018, 5296, 33456, 16712, 1863, 9957, 20193, 7251, 3794, 995, 45865, 257, 15844, 272, 12174, 9381, 20328, 5172, 2288, 32239, 11296, 36764, 24401, 611], "avg_logprob": -0.31681033712008905, "compression_ratio": 1.5078125, "no_speech_prob": 0.0, "words": [{"start": 2600.79, "end": 2601.07, "word": "هي", "probability": 0.581787109375}, {"start": 2601.07, "end": 2601.83, "word": " التنين", "probability": 0.7604166666666666}, {"start": 2601.83, "end": 2602.97, "word": " بدا", "probability": 0.1983642578125}, {"start": 2602.97, "end": 2603.43, "word": " تساوي", "probability": 0.94482421875}, {"start": 2603.43, "end": 2603.69, "word": " a", "probability": 0.49853515625}, {"start": 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"temperature": 1.0}, {"id": 99, "seek": 286742, "start": 2839.34, "end": 2867.42, "text": "يكبر تنين تقسم ال B والسالب N يكبر تنين تقسم ال B Similarly تنين هتقسم ال E والسالب N يكبر تنين هتقسم ال A وهذا ما هيعطيك تناقض يكبر لا صفر ولا واحد ولا أكبر من الواحد ولا سالب واحد ولا أصغر من سالب واحد مين ضال؟ So Q", "tokens": [1829, 4117, 3555, 2288, 6055, 1863, 9957, 6055, 4587, 38251, 2423, 363, 16070, 3794, 6027, 3555, 426, 7251, 4117, 26890, 6055, 1863, 9957, 6055, 4587, 38251, 2423, 363, 13157, 6055, 1863, 9957, 8032, 2655, 4587, 38251, 2423, 462, 16070, 3794, 6027, 3555, 426, 7251, 4117, 26890, 6055, 1863, 9957, 8032, 2655, 4587, 38251, 2423, 316, 37037, 15730, 19446, 39896, 3615, 9566, 1829, 4117, 6055, 8315, 4587, 11242, 7251, 4117, 26890, 20193, 20328, 5172, 2288, 49429, 36764, 24401, 49429, 5551, 4117, 26890, 9154, 2423, 14407, 24401, 49429, 8608, 6027, 3555, 36764, 24401, 49429, 5551, 9381, 17082, 2288, 9154, 8608, 6027, 3555, 36764, 24401, 3714, 9957, 48812, 6027, 22807, 407, 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