{"segments": [{"id": 1, "seek": 3522, "start": 22.73, "end": 35.23, "text": "المرة الماضية أخدنا نظرية على ال subgroups ومختصرها إن ال H لو كانت non-empty هال condition الأول و ال condition التاني", "tokens": [6027, 29973, 3660, 9673, 46958, 10632, 5551, 9778, 3215, 8315, 8717, 19913, 2288, 10632, 15844, 2423, 1422, 17377, 82, 4032, 2304, 46456, 9381, 2288, 11296, 36145, 2423, 389, 45164, 25961, 2655, 2107, 12, 4543, 88, 8032, 6027, 4188, 16247, 12610, 4032, 2423, 4188, 16712, 7649, 1829], "avg_logprob": -0.22273935599529998, "compression_ratio": 1.3211678832116789, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 22.73, "end": 23.65, "word": "المرة", "probability": 0.578857421875}, {"start": 23.65, "end": 24.35, "word": " الماضية", "probability": 0.9923502604166666}, {"start": 24.35, "end": 25.37, "word": " أخدنا", "probability": 0.8902587890625}, {"start": 25.37, "end": 25.95, "word": " نظرية", "probability": 0.980712890625}, {"start": 25.95, "end": 26.33, "word": " على", 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"text": "بإنفرس هذي مباشرة هذه ضربت من جهة الشمال و من جهة اليمين هنا ضربت من جهة الشمال و من جهة اليمين طيب هذه الان ال بي بي انفرس بتعطينا ال identity يبقى هدف السوى بي انفرس he", "tokens": [3555, 28814, 1863, 5172, 2288, 3794, 8032, 8848, 1829, 3714, 3555, 33599, 25720, 29538, 48812, 25513, 2655, 9154, 10874, 3224, 3660, 25124, 2304, 6027, 4032, 9154, 10874, 3224, 3660, 2423, 32640, 9957, 34105, 48812, 25513, 2655, 9154, 10874, 3224, 3660, 25124, 2304, 6027, 4032, 9154, 10874, 3224, 3660, 2423, 32640, 9957, 23032, 1829, 3555, 29538, 2423, 7649, 2423, 4724, 1829, 4724, 1829, 16472, 5172, 2288, 3794, 39894, 3615, 9566, 1829, 8315, 2423, 6575, 7251, 3555, 4587, 7578, 8032, 3215, 5172, 21136, 2407, 7578, 4724, 1829, 16472, 5172, 2288, 3794, 415], "avg_logprob": -0.3140453224653726, "compression_ratio": 2.027586206896552, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 338.54999999999995, "end": 339.46999999999997, "word": "بإنفرس", "probability": 0.6639811197916666}, 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"start": 356.63, "end": 372.25, "text": "بناءً عليه الـ identity في أي element و الله في أي set بيعطينا نفس ال element أو نفس ال set يبقى هذا معناه ان ال H P inverse بده يساوي P inverse H", "tokens": [3555, 1863, 16606, 14111, 47356, 2423, 39184, 6575, 8978, 36632, 4478, 4032, 21984, 8978, 36632, 992, 4724, 1829, 3615, 9566, 1829, 8315, 8717, 36178, 2423, 4478, 34051, 8717, 36178, 2423, 992, 7251, 3555, 4587, 7578, 23758, 20449, 8315, 3224, 16472, 2423, 389, 430, 17340, 47525, 3224, 7251, 3794, 995, 45865, 430, 17340, 389], "avg_logprob": -0.2699652706031446, "compression_ratio": 1.445945945945946, "no_speech_prob": 0.0, "words": [{"start": 356.63, "end": 357.43, "word": "بناءً", "probability": 0.77117919921875}, {"start": 357.43, "end": 357.75, "word": " عليه", "probability": 0.7841796875}, {"start": 357.75, "end": 358.15, "word": " الـ", "probability": 0.758056640625}, {"start": 358.15, "end": 358.75, "word": " identity", "probability": 0.56787109375}, {"start": 358.75, "end": 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الاتجاه الأول بدي أقول له assume افترض ان ال H is a subgroup من G مدام subgroup من G لو أخدت أي two elements موجودة في H حصل ضربه في H ولا لا لأن عليها binary operation بدي يطلع في H يبقى then", "tokens": [1829, 3555, 4587, 7578, 4724, 16254, 5551, 9778, 3215, 2423, 9307, 7435, 40294, 16247, 12610, 4724, 16254, 5551, 39648, 46740, 6552, 1975, 5172, 2655, 43042, 16472, 2423, 389, 307, 257, 1422, 17377, 9154, 460, 3714, 3215, 10943, 1422, 17377, 9154, 460, 45164, 5551, 9778, 3215, 2655, 36632, 732, 4959, 3714, 29245, 23328, 3660, 8978, 389, 11331, 36520, 48812, 25513, 3224, 8978, 389, 49429, 20193, 5296, 33456, 25894, 11296, 17434, 6916, 4724, 16254, 7251, 9566, 1211, 3615, 8978, 389, 7251, 3555, 4587, 7578, 550], "avg_logprob": -0.25427826813289095, "compression_ratio": 1.5353535353535352, "no_speech_prob": 0.0, "words": [{"start": 683.76, "end": 684.22, "word": "يبقى", "probability": 0.709564208984375}, {"start": 684.22, "end": 684.48, "word": " بدي", "probability": 0.4755859375}, 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" أن", "probability": 0.44091796875}, {"start": 904.6, "end": 904.98, "word": " الـ", "probability": 0.9267578125}, {"start": 904.98, "end": 905.2, "word": " H", "probability": 0.83349609375}, {"start": 905.2, "end": 905.68, "word": " is", "probability": 0.9296875}, {"start": 905.68, "end": 906.0, "word": " a", "probability": 0.97705078125}, {"start": 906.0, "end": 906.8, "word": " subgroup", "probability": 0.965576171875}, {"start": 906.8, "end": 907.08, "word": " من", "probability": 0.97705078125}, {"start": 907.08, "end": 907.4, "word": " G", "probability": 0.7021484375}, {"start": 907.4, "end": 908.46, "word": " from", "probability": 0.828125}, {"start": 908.46, "end": 910.12, "word": " the", "probability": 0.87255859375}, {"start": 910.12, "end": 911.66, "word": " previous", "probability": 0.8115234375}], "temperature": 1.0}, {"id": 39, "seek": 94137, "start": 913.19, "end": 941.37, "text": "الثيوريم يبقى بالنظرية السابقة هذه سارة subgroup وهو المطلوب نعطي مثال توضيحي example let ال g بدها تساوي r star اللي بدها تساوي ال r ناقص ال zero under", "tokens": [6027, 12984, 1829, 13063, 32640, 7251, 3555, 4587, 7578, 20666, 1863, 19913, 2288, 10632, 21136, 16758, 28671, 29538, 8608, 9640, 3660, 1422, 17377, 37037, 2407, 9673, 9566, 1211, 37746, 8717, 3615, 9566, 1829, 50113, 6027, 33427, 11242, 1829, 5016, 1829, 1365, 718, 2423, 290, 47525, 11296, 6055, 3794, 995, 45865, 367, 3543, 13672, 1829, 47525, 11296, 6055, 3794, 995, 45865, 2423, 367, 8717, 995, 4587, 9381, 2423, 4018, 833], "avg_logprob": -0.2363839272941862, "compression_ratio": 1.4846625766871167, "no_speech_prob": 0.0, "words": [{"start": 913.19, "end": 914.07, "word": "الثيوريم", "probability": 0.5168701171875}, {"start": 914.07, "end": 915.05, "word": " يبقى", "probability": 0.898681640625}, {"start": 915.05, "end": 915.63, "word": " بالنظرية", "probability": 0.97021484375}, {"start": 915.63, "end": 916.09, "word": " السابقة", "probability": 0.9558919270833334}, {"start": 916.09, "end": 916.33, "word": " 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الضرب", "probability": 0.7224934895833334}, {"start": 951.47, "end": 952.87, "word": " little", "probability": 0.1700439453125}, {"start": 952.87, "end": 953.71, "word": " h", "probability": 0.81298828125}, {"start": 953.71, "end": 955.57, "word": " بدها", "probability": 0.60296630859375}, {"start": 955.57, "end": 956.17, "word": " تساوي", "probability": 0.8900146484375}, {"start": 956.17, "end": 957.03, "word": " كل", "probability": 0.9287109375}, {"start": 957.03, "end": 957.89, "word": " العناصر", "probability": 0.9327392578125}, {"start": 957.89, "end": 958.23, "word": " x", "probability": 0.70703125}, {"start": 958.23, "end": 958.55, "word": " اللي", "probability": 0.728759765625}, {"start": 958.55, "end": 959.31, "word": " موجودة", "probability": 0.9864501953125}, {"start": 959.31, "end": 959.63, "word": " في", "probability": 0.96630859375}, {"start": 959.63, "end": 960.11, "word": " g", "probability": 0.65234375}, {"start": 960.11, "end": 961.29, "word": " بحيث", "probability": 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ال k بدأت ساوي كل ال x اللي موجودة فيه بحيث ان ال x greater than or equal to one", "tokens": [3615, 3215, 3215, 32771, 13546, 8717, 35457, 1829, 293, 2423, 350, 47525, 10721, 2655, 8608, 995, 45865, 28242, 2423, 2031, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 3224, 4724, 5016, 1829, 12984, 16472, 2423, 2031, 5044, 813, 420, 2681, 281, 472], "avg_logprob": -0.2801339377959569, "compression_ratio": 1.1735537190082646, "no_speech_prob": 0.0, "words": [{"start": 971.12, "end": 971.88, "word": "عدد", "probability": 0.7232259114583334}, {"start": 971.88, "end": 972.64, "word": " غير", "probability": 0.99169921875}, {"start": 972.64, "end": 973.48, "word": " نسبي", "probability": 0.8134765625}, {"start": 973.48, "end": 974.08, "word": " and", "probability": 0.280517578125}, {"start": 974.08, "end": 976.94, "word": " ال", "probability": 0.51513671875}, {"start": 976.94, "end": 977.42, "word": " k", "probability": 0.1575927734375}, {"start": 977.42, "end": 978.54, "word": " بدأت", 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{"start": 988.28, "end": 988.68, "word": " هل", "probability": 0.8310546875}, {"start": 988.68, "end": 989.1, "word": " هدول", "probability": 0.8421223958333334}, {"start": 989.1, "end": 990.24, "word": " subgroups", "probability": 0.7545572916666666}, {"start": 990.24, "end": 990.6, "word": " ام", "probability": 0.7802734375}, {"start": 990.6, "end": 991.06, "word": " لا", "probability": 0.89501953125}, {"start": 991.06, "end": 994.16, "word": " R", "probability": 0.111083984375}, {"start": 994.16, "end": 996.08, "word": " H", "probability": 0.505859375}, {"start": 996.08, "end": 997.32, "word": " N", "probability": 0.60302734375}, {"start": 997.32, "end": 998.78, "word": " K", "probability": 0.97705078125}, {"start": 998.78, "end": 1001.7, "word": " subgroups", "probability": 0.8883463541666666}, {"start": 1001.7, "end": 1004.84, "word": " of", "probability": 0.921875}, {"start": 1004.84, "end": 1005.94, "word": " G", "probability": 0.9287109375}, {"start": 1005.94, "end": 1007.3, 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مش جذر تلاتة irrational number and جذر تلاتة مضروب في جذر تلاتة بده يساوي قدر هل التلاتة irrational number لأ مش موجود في itch", "tokens": [7649, 995, 1975, 3215, 3615, 7578, 23032, 1829, 3555, 13412, 2407, 21136, 3555, 3555, 570, 10874, 8848, 2288, 6055, 1211, 9307, 3660, 3714, 29245, 23328, 8978, 309, 339, 49429, 20193, 35186, 13412, 3555, 16758, 37893, 10874, 8848, 2288, 6055, 1211, 9307, 3660, 39914, 1230, 293, 10874, 8848, 2288, 6055, 1211, 9307, 3660, 3714, 11242, 32887, 3555, 8978, 10874, 8848, 2288, 6055, 1211, 9307, 3660, 47525, 3224, 7251, 3794, 995, 45865, 12174, 3215, 2288, 8032, 1211, 16712, 1211, 9307, 3660, 39914, 1230, 5296, 10721, 37893, 3714, 29245, 23328, 8978, 309, 339], "avg_logprob": -0.1535027482352414, "compression_ratio": 1.819277108433735, "no_speech_prob": 0.0, "words": [{"start": 1161.71, "end": 1162.11, "word": "انا", "probability": 0.6356201171875}, {"start": 1162.11, "end": 1162.59, "word": " ادعى", "probability": 0.5811767578125}, {"start": 1162.59, 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"seek": 127790, "start": 1257.1, "end": 1277.9, "text": "انه ضرب عملية الضرب العادية يبقى هذا بده يعطينا انه معكوس الستة ليه ستة inverse يساوي واحد على ستة لإنه ستة في سُدس هو اللي بالساوية واحدة صحيح السؤال هو هل السُدس هذا موجود في ك؟ لأ لإنه واحد واطلع", "tokens": [7649, 3224, 48812, 25513, 6225, 42213, 10632, 6024, 114, 25513, 18863, 18513, 10632, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 37495, 9566, 1829, 8315, 16472, 3224, 20449, 4117, 41779, 21136, 2655, 3660, 32239, 3224, 8608, 2655, 3660, 17340, 7251, 3794, 995, 45865, 36764, 24401, 15844, 8608, 2655, 3660, 5296, 28814, 1863, 3224, 8608, 2655, 3660, 8978, 8608, 10859, 3215, 3794, 31439, 13672, 1829, 20666, 3794, 995, 2407, 10632, 36764, 24401, 3660, 20328, 5016, 1829, 5016, 21136, 33604, 6027, 31439, 8032, 1211, 21136, 10859, 3215, 3794, 23758, 3714, 29245, 23328, 8978, 9122, 22807, 5296, 10721, 5296, 28814, 1863, 3224, 36764, 24401, 4032, 41193, 1211, 3615], "avg_logprob": -0.20386904307774134, "compression_ratio": 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