diff --git "a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/_TZ6gd4sw_c_raw.json" "b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/_TZ6gd4sw_c_raw.json" new file mode 100644--- /dev/null +++ "b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/_TZ6gd4sw_c_raw.json" @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 3526, "start": 21.6, "end": 35.26, "text": "بسم الله الرحمن الرحيم عود على بدء في الفترة الصباحية أخدنا ثلاث نظريات اللي هو على ال subgroups لأن المواصل الحديث على نفس الموضوع", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 6225, 23328, 15844, 47525, 38207, 8978, 27188, 2655, 25720, 31767, 3555, 39319, 10632, 5551, 9778, 3215, 8315, 38637, 1211, 5718, 104, 8717, 19913, 16572, 9307, 13672, 1829, 31439, 15844, 2423, 1422, 17377, 82, 5296, 33456, 9673, 2407, 33546, 1211, 21542, 16254, 12984, 15844, 8717, 36178, 9673, 2407, 11242, 45367], "avg_logprob": -0.17333157082735481, "compression_ratio": 1.5333333333333334, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 21.6, "end": 21.92, 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اللي عندنا بهذا الشكل بتبقى subgroup من جيه بدنا نثبتها هذا ال subgroup بنسميه ال cyclic subgroup generated by اه يبقى هي مجموعة جزئية دورية متولدة بالعنصر من هو العنصر ايه طبعا ال cyclic groups الشبطر الجاي كله ال cyclic groups من أوله إلى أخره و النظريات و أمثلة", "tokens": [10721, 1829, 6225, 3215, 3215, 9154, 29910, 9307, 8608, 2407, 16606, 25961, 4018, 34051, 3714, 29245, 3555, 34051, 8608, 6027, 3555, 7251, 3555, 4587, 7578, 2423, 14851, 13672, 1829, 43242, 8315, 39627, 15730, 25124, 28820, 39894, 3555, 4587, 7578, 1422, 17377, 9154, 10874, 1829, 3224, 47525, 8315, 8717, 12984, 3555, 2655, 11296, 23758, 2423, 1422, 17377, 44945, 38251, 1829, 3224, 2423, 38154, 1050, 1422, 17377, 10833, 538, 1975, 3224, 7251, 3555, 4587, 7578, 39896, 3714, 7435, 2304, 2407, 27884, 10874, 11622, 19986, 10632, 11778, 13063, 10632, 44650, 12610, 41891, 20666, 3615, 1863, 9381, 2288, 9154, 31439, 18863, 1863, 9381, 2288, 1975, 1829, 3224, 23032, 3555, 3615, 995, 2423, 38154, 1050, 3935, 25124, 3555, 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انشئتهم فقولوا a n minus ال m الان هذا موجودة في ال group generated by a", "tokens": [27842, 20449, 1211, 20498, 9307, 8315, 21136, 16758, 28671, 8978, 2423, 39184, 7187, 16247, 12610, 8978, 2423, 3935, 23758, 4724, 16254, 37495, 9566, 1829, 8315, 257, 275, 257, 3175, 2423, 275, 1975, 2407, 16472, 8592, 19986, 2655, 16095, 6156, 39648, 14407, 257, 297, 3175, 2423, 275, 2423, 7649, 23758, 3714, 29245, 23328, 3660, 8978, 2423, 1594, 10833, 538, 257], "avg_logprob": -0.2997395798563957, "compression_ratio": 1.5031055900621118, "no_speech_prob": 0.0, "words": [{"start": 201.03, "end": 201.27, "word": "من", "probability": 0.43505859375}, {"start": 201.27, "end": 202.07, "word": " معلوماتنا", "probability": 0.8884765625}, {"start": 202.07, "end": 202.55, "word": " السابقة", "probability": 0.98828125}, {"start": 202.55, "end": 202.71, "word": " في", "probability": 0.9267578125}, {"start": 202.71, "end": 202.83, "word": " الـ", "probability": 0.508544921875}, {"start": 202.83, "end": 203.11, 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"end": 220.23, "word": " في", "probability": 0.85595703125}, {"start": 220.23, "end": 220.77, "word": " ال", "probability": 0.78369140625}, {"start": 220.77, "end": 221.29, "word": " group", "probability": 0.97998046875}, {"start": 221.29, "end": 222.13, "word": " generated", "probability": 0.86669921875}, {"start": 222.13, "end": 222.81, "word": " by", "probability": 0.9873046875}, {"start": 222.81, "end": 223.33, "word": " a", "probability": 0.84521484375}], "temperature": 1.0}, {"id": 10, "seek": 24935, "start": 223.69, "end": 249.35, "text": "بسبب ان الـ M أو الـ N ناقص الـ M هو انتجر موجود في الـ Z إذا صار الـ identity element موجود هنا خدت عنصرين موجودات في ال group generated by A اللي جت الأول في معكس التاني موجود فيها يبقى by a previous", "tokens": [3555, 35457, 3555, 16472, 2423, 39184, 376, 34051, 2423, 39184, 426, 8717, 995, 4587, 9381, 2423, 39184, 376, 31439, 16472, 2655, 7435, 2288, 3714, 29245, 23328, 8978, 2423, 39184, 1176, 11933, 15730, 20328, 9640, 2423, 39184, 6575, 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identity", "probability": 0.410400390625}, {"start": 236.21, "end": 236.79, "word": " element", "probability": 0.98583984375}, {"start": 236.79, "end": 237.33, "word": " موجود", "probability": 0.9747721354166666}, {"start": 237.33, "end": 237.73, "word": " هنا", "probability": 0.982421875}, {"start": 237.73, "end": 238.75, "word": " خدت", "probability": 0.4707438151041667}, {"start": 238.75, "end": 239.59, "word": " عنصرين", "probability": 0.927734375}, {"start": 239.59, "end": 240.31, "word": " موجودات", "probability": 0.868408203125}, {"start": 240.31, "end": 240.53, "word": " في", "probability": 0.95556640625}, {"start": 240.53, "end": 240.65, "word": " ال", "probability": 0.751953125}, {"start": 240.65, "end": 240.89, "word": " group", "probability": 0.7734375}, {"start": 240.89, "end": 241.45, "word": " generated", "probability": 0.791015625}, {"start": 241.45, "end": 241.85, "word": " by", "probability": 0.94482421875}, {"start": 241.85, "end": 242.07, "word": " A", "probability": 0.72314453125}, {"start": 242.07, "end": 242.23, "word": " اللي", "probability": 0.889404296875}, {"start": 242.23, "end": 242.43, "word": " جت", "probability": 0.605712890625}, {"start": 242.43, "end": 242.75, "word": " الأول", "probability": 0.979736328125}, {"start": 242.75, "end": 242.93, "word": " في", "probability": 0.87646484375}, {"start": 242.93, "end": 243.37, "word": " معكس", "probability": 0.7012532552083334}, {"start": 243.37, "end": 243.79, "word": " التاني", "probability": 0.91943359375}, {"start": 243.79, "end": 244.21, "word": " موجود", "probability": 0.9695638020833334}, {"start": 244.21, "end": 244.65, "word": " فيها", "probability": 0.975830078125}, {"start": 244.65, "end": 245.87, "word": " يبقى", "probability": 0.9599609375}, {"start": 245.87, "end": 246.61, "word": " by", "probability": 0.70458984375}, {"start": 246.61, "end": 248.37, "word": " a", "probability": 0.87060546875}, {"start": 248.37, "end": 249.35, "word": " previous", "probability": 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"end": 271.06, "word": " كل", "probability": 0.9833984375}, {"start": 271.06, "end": 272.02, "word": " العناصر", "probability": 0.947509765625}, {"start": 272.02, "end": 273.16, "word": " بتبعتها", "probability": 0.9351806640625}, {"start": 273.16, "end": 275.8, "word": " remarks", "probability": 0.654296875}], "temperature": 1.0}, {"id": 12, "seek": 31049, "start": 281.19, "end": 310.49, "text": "النقطة الأولى لو كانت الـ G كلها بدأ تساوي ال subgroup generated by A نقول ان الـ G is cyclic الـ G is cyclic and the element", "tokens": [6027, 1863, 47432, 3660, 16247, 12610, 7578, 45164, 25961, 2655, 2423, 39184, 460, 28242, 11296, 47525, 10721, 6055, 3794, 995, 45865, 2423, 1422, 17377, 10833, 538, 316, 8717, 39648, 16472, 2423, 39184, 460, 307, 38154, 1050, 2423, 39184, 460, 307, 38154, 1050, 293, 264, 4478], "avg_logprob": -0.3603940230348836, "compression_ratio": 1.2835820895522387, "no_speech_prob": 0.0, "words": [{"start": 281.19, "end": 281.91, "word": "النقطة", "probability": 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{"start": 290.77, "end": 291.27, "word": " A", "probability": 0.78857421875}, {"start": 291.27, "end": 292.43, "word": " نقول", "probability": 0.6917724609375}, {"start": 292.43, "end": 293.19, "word": " ان", "probability": 0.153564453125}, {"start": 293.19, "end": 299.63, "word": " الـ", "probability": 0.58984375}, {"start": 299.63, "end": 300.41, "word": " G", "probability": 0.94287109375}, {"start": 300.41, "end": 301.79, "word": " is", "probability": 0.149169921875}, {"start": 301.79, "end": 303.31, "word": " cyclic", "probability": 0.811767578125}, {"start": 303.31, "end": 304.61, "word": " الـ", "probability": 0.6785888671875}, {"start": 304.61, "end": 304.75, "word": " G", "probability": 0.943359375}, {"start": 304.75, "end": 305.07, "word": " is", "probability": 0.609375}, {"start": 305.07, "end": 305.85, "word": " cyclic", "probability": 0.8974609375}, {"start": 305.85, "end": 307.17, "word": " and", "probability": 0.78125}, {"start": 307.17, "end": 308.87, "word": " the", 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"word": " every", "probability": 0.640625}], "temperature": 1.0}, {"id": 14, "seek": 37265, "start": 345.79, "end": 372.65, "text": "cyclic group is abelian روح ندب صحة هذا الكلام ال remark اللي عنها عبارة عن نقطتين", "tokens": [1344, 66, 1050, 1594, 307, 410, 338, 952, 12602, 2407, 5016, 8717, 3215, 3555, 20328, 5016, 3660, 23758, 2423, 28820, 10943, 2423, 7942, 13672, 1829, 18871, 11296, 6225, 3555, 9640, 3660, 18871, 8717, 47432, 2655, 9957], "avg_logprob": -0.29138512546951706, "compression_ratio": 1.0884955752212389, "no_speech_prob": 0.0, "words": [{"start": 345.79, "end": 347.19, "word": "cyclic", "probability": 0.78466796875}, {"start": 347.19, "end": 348.59, "word": " group", "probability": 0.53857421875}, {"start": 348.59, "end": 353.19, "word": " is", "probability": 0.78564453125}, {"start": 353.19, "end": 355.85, "word": " abelian", "probability": 0.7423502604166666}, {"start": 355.85, "end": 360.07, "word": " روح", "probability": 0.6358642578125}, {"start": 360.07, "end": 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فروحت قولت for some لبعض عناصر G على أي حال بعد شوية هنثبت إنه على الأقل كل group فيها two generators", "tokens": [9566, 1829, 3555, 12399, 11933, 1829, 8592, 37495, 22653, 22807, 37495, 22653, 20449, 8315, 47395, 36145, 3224, 8032, 15040, 38436, 18871, 9381, 2288, 15844, 16247, 4587, 1211, 8978, 460, 34051, 5551, 4117, 49115, 44381, 19446, 4587, 1211, 2655, 8592, 10874, 2304, 40228, 18863, 1863, 33546, 2288, 6156, 32887, 33753, 12174, 12610, 2655, 337, 512, 5296, 3555, 3615, 11242, 18871, 33546, 2288, 460, 15844, 36632, 11331, 6027, 39182, 13412, 2407, 10632, 8032, 1863, 12984, 3555, 2655, 36145, 3224, 15844, 16247, 4587, 1211, 28242, 1594, 8978, 11296, 732, 38662], "avg_logprob": -0.16237571615387092, "compression_ratio": 1.598984771573604, "no_speech_prob": 0.0, "words": [{"start": 504.76, "end": 505.54, "word": "طيب،", "probability": 0.65411376953125}, {"start": 505.54, "end": 505.92, "word": " إيش", "probability": 0.8104654947916666}, {"start": 505.92, "end": 506.8, "word": " 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1043.51, "end": 1044.05, "word": " هد", "probability": 0.935791015625}, {"start": 1044.05, "end": 1044.61, "word": " proper", "probability": 0.9638671875}, {"start": 1044.61, "end": 1045.63, "word": " يبقى", "probability": 0.99169921875}, {"start": 1045.63, "end": 1046.03, "word": " واحد", "probability": 0.98193359375}, {"start": 1046.03, "end": 1046.83, "word": " وتسعة", "probability": 0.8458658854166666}, {"start": 1046.83, "end": 1047.71, "word": " is", "probability": 0.8583984375}, {"start": 1047.71, "end": 1048.85, "word": " a", "probability": 0.8896484375}, {"start": 1048.85, "end": 1049.89, "word": " proper", "probability": 0.9072265625}, {"start": 1049.89, "end": 1052.63, "word": " subgroup", "probability": 0.96533203125}], "temperature": 1.0}, {"id": 43, "seek": 108192, "start": 1055.7, "end": 1081.92, "text": "طيب خلّينا نبدأ الملاحظات التالية على هذه النتيجة التي توصلنا إليها هنجاوب على سؤالك واحنا بنحكي ان شاء الله تمام؟ من دون ما أعرف شو السؤال تمام؟ يبقى أنا باجي بتطلع اللي عندنا اللي لقيت ال subgroup generated by تلاتة هي ال subgroup generated by السبعة طيب فيه عشرة شو العلاقة بين التلاتة والسبعة؟ بيقربوا لبعض؟", "tokens": [9566, 1829, 3555, 16490, 1211, 11703, 9957, 995, 8717, 44510, 10721, 9673, 15040, 5016, 19913, 9307, 16712, 6027, 10632, 15844, 29538, 28239, 31371, 7435, 3660, 38392, 33427, 36520, 8315, 11933, 20292, 11296, 8032, 1863, 7435, 995, 37746, 15844, 8608, 33604, 6027, 4117, 36764, 5016, 8315, 44945, 5016, 4117, 1829, 16472, 13412, 16606, 21984, 46811, 10943, 22807, 9154, 11778, 11536, 19446, 5551, 3615, 28480, 13412, 2407, 21136, 33604, 6027, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 41850, 4724, 26108, 1829, 39894, 9566, 1211, 3615, 13672, 1829, 43242, 8315, 13672, 1829, 5296, 4587, 36081, 2423, 1422, 17377, 10833, 538, 6055, 1211, 9307, 3660, 39896, 2423, 1422, 17377, 10833, 538, 21136, 3555, 27884, 23032, 1829, 3555, 8978, 3224, 6225, 8592, 25720, 13412, 2407, 18863, 15040, 28671, 49374, 16712, 1211, 9307, 3660, 16070, 35457, 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"word": " توصلنا", "probability": 0.92578125}, {"start": 1061.32, "end": 1061.8, "word": " إليها", "probability": 0.8642578125}, {"start": 1061.8, "end": 1062.66, "word": " هنجاوب", "probability": 0.770166015625}, {"start": 1062.66, "end": 1062.8, "word": " على", "probability": 0.75927734375}, {"start": 1062.8, "end": 1063.32, "word": " سؤالك", "probability": 0.98388671875}, {"start": 1063.32, "end": 1063.6, "word": " واحنا", "probability": 0.7770182291666666}, {"start": 1063.6, "end": 1064.08, "word": " بنحكي", "probability": 0.8509521484375}, {"start": 1064.08, "end": 1064.16, "word": " ان", "probability": 0.6279296875}, {"start": 1064.16, "end": 1064.46, "word": " شاء", "probability": 0.98291015625}, {"start": 1064.46, "end": 1064.78, "word": " الله", "probability": 0.9541015625}, {"start": 1064.78, "end": 1066.22, "word": " تمام؟", "probability": 0.66552734375}, {"start": 1066.22, "end": 1066.34, "word": " من", "probability": 0.432861328125}, {"start": 1066.34, "end": 1066.5, 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1075.78, "word": " السبعة", "probability": 0.8894856770833334}, {"start": 1075.78, "end": 1076.56, "word": " طيب", "probability": 0.9620768229166666}, {"start": 1076.56, "end": 1076.88, "word": " فيه", "probability": 0.87939453125}, {"start": 1076.88, "end": 1077.32, "word": " عشرة", "probability": 0.8642578125}, {"start": 1077.32, "end": 1077.72, "word": " شو", "probability": 0.936767578125}, {"start": 1077.72, "end": 1078.26, "word": " العلاقة", "probability": 0.8994140625}, {"start": 1078.26, "end": 1078.52, "word": " بين", "probability": 0.810546875}, {"start": 1078.52, "end": 1079.14, "word": " التلاتة", "probability": 0.9671630859375}, {"start": 1079.14, "end": 1080.8, "word": " والسبعة؟", "probability": 0.877685546875}, {"start": 1080.8, "end": 1081.22, "word": " بيقربوا", "probability": 0.839501953125}, {"start": 1081.22, "end": 1081.92, "word": " لبعض؟", "probability": 0.92998046875}], "temperature": 1.0}, {"id": 44, "seek": 109383, "start": 1082.5, "end": 1093.84, "text": "أه واحد فيهم معكوس الثاني معناته ال subgroup generated بال element هي ال subgroup generated بال inverse لهذا ال element", "tokens": [10721, 3224, 36764, 24401, 8978, 16095, 20449, 4117, 41779, 6024, 104, 7649, 1829, 20449, 8315, 47395, 2423, 1422, 17377, 10833, 20666, 4478, 39896, 2423, 1422, 17377, 10833, 20666, 17340, 46740, 15730, 2423, 4478], "avg_logprob": -0.34260111608925986, "compression_ratio": 1.3898305084745763, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1082.5, "end": 1083.18, "word": "أه", "probability": 0.13043212890625}, {"start": 1083.18, "end": 1083.68, "word": " واحد", "probability": 0.79150390625}, {"start": 1083.68, "end": 1083.98, "word": " فيهم", "probability": 0.779541015625}, {"start": 1083.98, "end": 1084.54, "word": " معكوس", "probability": 0.9295247395833334}, {"start": 1084.54, "end": 1085.22, "word": " الثاني", "probability": 0.9189453125}, {"start": 1085.22, "end": 1086.04, "word": " معناته", "probability": 0.7267252604166666}, {"start": 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{"start": 1092.26, "end": 1093.1, "word": " ال", "probability": 0.8857421875}, {"start": 1093.1, "end": 1093.84, "word": " element", "probability": 0.97314453125}], "temperature": 1.0}, {"id": 45, "seek": 111475, "start": 1094.95, "end": 1114.75, "text": "يبقى هنا هي التلاتة والسبعة بواحدة وعشرين شيل عشرتين بيطلع ال identity element إذا التلاتة is the inverse of سبعة وبالتالي ال subgroup generated by تلاتة هي ال subgroup generated by سبعة يبقى هنا بقول not that", "tokens": [1829, 3555, 4587, 7578, 34105, 39896, 16712, 1211, 9307, 3660, 16070, 35457, 27884, 4724, 14407, 24401, 3660, 4032, 3615, 46309, 9957, 13412, 26895, 6225, 8592, 43500, 9957, 4724, 1829, 9566, 1211, 3615, 2423, 6575, 4478, 11933, 15730, 16712, 1211, 9307, 3660, 307, 264, 17340, 295, 8608, 3555, 27884, 46599, 6027, 2655, 6027, 1829, 2423, 1422, 17377, 10833, 538, 6055, 1211, 9307, 3660, 39896, 2423, 1422, 17377, 10833, 538, 8608, 3555, 27884, 7251, 3555, 4587, 7578, 34105, 4724, 39648, 406, 300], "avg_logprob": 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subgroup", "probability": 0.64794921875}, {"start": 1107.15, "end": 1107.73, "word": " generated", "probability": 0.84130859375}, {"start": 1107.73, "end": 1108.03, "word": " by", "probability": 0.96240234375}, {"start": 1108.03, "end": 1108.53, "word": " تلاتة", "probability": 0.9193115234375}, {"start": 1108.53, "end": 1108.73, "word": " هي", "probability": 0.9208984375}, {"start": 1108.73, "end": 1108.91, "word": " ال", "probability": 0.66943359375}, {"start": 1108.91, "end": 1109.45, "word": " subgroup", "probability": 0.9130859375}, {"start": 1109.45, "end": 1110.29, "word": " generated", "probability": 0.80712890625}, {"start": 1110.29, "end": 1111.11, "word": " by", "probability": 0.96630859375}, {"start": 1111.11, "end": 1111.71, "word": " سبعة", "probability": 0.9490559895833334}, {"start": 1111.71, "end": 1112.47, "word": " يبقى", "probability": 0.9610595703125}, {"start": 1112.47, "end": 1112.73, "word": " هنا", "probability": 0.9853515625}, {"start": 1112.73, "end": 1113.31, "word": " بقول", "probability": 0.9365234375}, {"start": 1113.31, "end": 1113.81, "word": " not", "probability": 0.42236328125}, {"start": 1113.81, "end": 1114.75, "word": " that", "probability": 0.93798828125}], "temperature": 1.0}, {"id": 46, "seek": 113683, "start": 1115.54, "end": 1136.84, "text": "لاحظ ان التلاتة is the inverse of سبعة اني و عشرة هذا هو معكوسة ده و من هنا كان ال subgroup هادي مين هي ال subgroup اللي عندنا هادي بالضبط", "tokens": [15040, 5016, 19913, 16472, 16712, 1211, 9307, 3660, 307, 264, 17340, 295, 8608, 3555, 27884, 16472, 1829, 4032, 6225, 8592, 25720, 23758, 31439, 20449, 4117, 41779, 3660, 11778, 3224, 4032, 9154, 34105, 25961, 2423, 1422, 17377, 8032, 995, 16254, 3714, 9957, 39896, 2423, 1422, 17377, 13672, 1829, 43242, 8315, 8032, 995, 16254, 20666, 11242, 3555, 9566], "avg_logprob": -0.32675439851325855, "compression_ratio": 1.4761904761904763, "no_speech_prob": 0.0, "words": [{"start": 1115.54, "end": 1116.64, "word": "لاحظ", "probability": 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ليش؟ بس يصبر شوية ليش؟ لإن لقيت فيها بدل ال generator اتنين اللي هم مين؟ تلاتة وسبعة يبقى باجي بقوله هنا النقطة الثانية note that هذه اعتبرها رقم واحد رقم اتنين ال U عشرة is cyclic and", "tokens": [5172, 3224, 2407, 4724, 4587, 7578, 322, 38154, 1050, 32239, 8592, 22807, 4724, 3794, 7251, 9381, 26890, 13412, 2407, 10632, 32239, 8592, 22807, 5296, 28814, 1863, 5296, 4587, 36081, 8978, 11296, 47525, 1211, 2423, 19265, 1975, 2655, 1863, 9957, 13672, 1829, 8032, 2304, 3714, 9957, 22807, 6055, 1211, 9307, 3660, 4032, 35457, 27884, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 34105, 28239, 47432, 3660, 6024, 104, 7649, 10632, 3637, 300, 29538, 1975, 34268, 26890, 11296, 12602, 4587, 2304, 36764, 24401, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 2423, 624, 6225, 8592, 25720, 307, 38154, 1050, 293], "avg_logprob": -0.19796874314546586, "compression_ratio": 1.5571428571428572, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1157.96, "end": 1158.3, "word": "فهو", 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{"start": 1179.76, "end": 1180.08, "word": " U", "probability": 0.53662109375}, {"start": 1180.08, "end": 1180.9, "word": " عشرة", "probability": 0.8748372395833334}, {"start": 1180.9, "end": 1181.5, "word": " is", "probability": 0.93798828125}, {"start": 1181.5, "end": 1183.26, "word": " cyclic", "probability": 0.863525390625}, {"start": 1183.26, "end": 1184.62, "word": " and", "probability": 0.96484375}], "temperature": 1.0}, {"id": 49, "seek": 119839, "start": 1186.29, "end": 1198.39, "text": "تلاتة and سبعة are generators يبقى دول بيجيبولي كل group", "tokens": [2655, 1211, 9307, 3660, 293, 8608, 3555, 27884, 366, 38662, 7251, 3555, 4587, 7578, 11778, 12610, 4724, 1829, 7435, 1829, 3555, 12610, 1829, 28242, 1594], "avg_logprob": -0.15640023809212905, "compression_ratio": 1.0, "no_speech_prob": 0.0, "words": [{"start": 1186.29, "end": 1187.45, "word": "تلاتة", "probability": 0.769744873046875}, {"start": 1187.45, "end": 1188.09, "word": " and", "probability": 0.76171875}, {"start": 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generators", "tokens": [2655, 15042, 2304, 7251, 3555, 4587, 7578, 3714, 15040, 5016, 19913, 3660, 20328, 9640, 14739, 16712, 1211, 9307, 3660, 31439, 9673, 3615, 4117, 41779, 6055, 3555, 3615, 21136, 3555, 27884, 4032, 1211, 8848, 23275, 2423, 1422, 17377, 10833, 538, 6055, 1211, 9307, 3660, 39896, 2423, 1422, 17377, 10833, 538, 587, 538, 8608, 3555, 27884, 4032, 41185, 29538, 21542, 6027, 3660, 4724, 39648, 5296, 7435, 32887, 3555, 16247, 36520, 10632, 6055, 3555, 4587, 7578, 43242, 8315, 2423, 38154, 1050, 5296, 33456, 13672, 1829, 10874, 36081, 8978, 11296, 732, 38662, 23032, 3555, 21136, 33604, 6027, 31439, 6055, 3794, 27884, 38662], "avg_logprob": -0.2689393837042529, "compression_ratio": 1.758139534883721, "no_speech_prob": 0.0, "words": [{"start": 1199.12, "end": 1199.76, "word": "تمام", "probability": 0.4047037760416667}, {"start": 1199.76, "end": 1201.24, "word": " يبقى", "probability": 0.812744140625}, {"start": 1201.24, "end": 1201.88, "word": " ملاحظة", "probability": 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"probability": 0.9890950520833334}, {"start": 1212.76, "end": 1213.2, "word": " بقول", "probability": 0.935302734375}, {"start": 1213.2, "end": 1214.14, "word": " لجروب", "probability": 0.6531982421875}, {"start": 1214.14, "end": 1215.08, "word": " الأصلية", "probability": 0.7759602864583334}, {"start": 1215.08, "end": 1215.72, "word": " تبقى", "probability": 0.981689453125}, {"start": 1215.72, "end": 1216.06, "word": " عندنا", "probability": 0.88427734375}, {"start": 1216.06, "end": 1216.12, "word": " ال", "probability": 0.52099609375}, {"start": 1216.12, "end": 1216.56, "word": " cyclic", "probability": 0.6331787109375}, {"start": 1216.56, "end": 1216.82, "word": " لأن", "probability": 0.877685546875}, {"start": 1216.82, "end": 1217.0, "word": " اللي", "probability": 0.677734375}, {"start": 1217.0, "end": 1217.28, "word": " جيت", "probability": 0.6298828125}, {"start": 1217.28, "end": 1217.74, "word": " فيها", "probability": 0.985107421875}, {"start": 1217.74, "end": 1218.38, "word": 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عندى فيه relatively prime للأتناش غير هدول الخمسة والسبعة والأحداش ماشي الهالف اش غيرهم تمام يبقى هذا الكلام بده يساوي Z اتناش بالضبط تماما", "tokens": [1211, 2407, 12602, 2407, 33753, 11331, 35457, 3714, 9957, 9673, 3615, 4117, 41779, 6055, 3555, 3615, 33962, 2304, 3794, 3660, 7251, 3555, 4587, 7578, 47525, 3224, 7251, 9566, 1211, 3615, 9122, 2304, 7649, 23758, 8608, 3555, 27884, 1422, 17377, 10833, 538, 8608, 3555, 27884, 23032, 1829, 3555, 538, 13672, 1829, 43242, 7578, 8978, 3224, 7226, 5835, 24976, 10721, 2655, 1863, 33599, 32771, 13546, 8032, 3215, 12610, 33962, 2304, 3794, 3660, 16070, 35457, 27884, 16070, 10721, 24401, 33599, 3714, 33599, 1829, 2423, 3224, 6027, 5172, 1975, 8592, 32771, 13546, 16095, 46811, 10943, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 1176, 1975, 2655, 1863, 33599, 20666, 11242, 3555, 9566, 46811, 10943, 995], "avg_logprob": -0.2281514833034095, "compression_ratio": 1.6890756302521008, "no_speech_prob": 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"والتلاتة و ال group generated by أربعة وال group generated by and ال group generated by ستة are proper كلهم دول proper sub groups", "tokens": [2407, 6027, 2655, 1211, 9307, 3660, 4032, 2423, 1594, 10833, 538, 5551, 25513, 27884, 16070, 1594, 10833, 538, 293, 2423, 1594, 10833, 538, 8608, 2655, 3660, 366, 2296, 28242, 16095, 11778, 12610, 2296, 1422, 3935], "avg_logprob": -0.4103732688559426, "compression_ratio": 1.5384615384615385, "no_speech_prob": 0.0, "words": [{"start": 1825.5600000000002, "end": 1826.9, "word": "والتلاتة", "probability": 0.7596028645833334}, {"start": 1826.9, "end": 1827.5, "word": " و", "probability": 0.1798095703125}, {"start": 1827.5, "end": 1828.02, "word": " ال", "probability": 0.5}, {"start": 1828.02, "end": 1828.36, "word": " group", "probability": 0.8466796875}, {"start": 1828.36, "end": 1829.2, "word": " generated", "probability": 0.8525390625}, {"start": 1829.2, "end": 1829.86, "word": " by", "probability": 0.962890625}, {"start": 1829.86, "end": 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قداش يبقى ال element of rotation بيكون R تسعيم طيب لو قلت مخمس منتظم", "tokens": [10721, 25513, 27884, 5551, 4587, 11242, 16606, 31439, 3714, 11242, 1211, 3615, 9154, 2655, 19913, 2304, 3714, 4587, 38251, 9154, 5551, 25513, 27884, 5551, 4587, 11242, 16606, 11933, 15730, 4724, 4587, 38251, 2423, 13898, 15844, 5551, 25513, 27884, 4724, 1829, 9381, 13546, 12174, 3215, 33599, 7251, 3555, 4587, 7578, 2423, 4478, 295, 12447, 4724, 1829, 30544, 497, 6055, 3794, 3615, 32640, 23032, 1829, 3555, 45164, 12174, 1211, 2655, 3714, 9778, 2304, 3794, 9154, 2655, 19913, 2304], "avg_logprob": -0.28206170069706904, "compression_ratio": 1.4666666666666666, "no_speech_prob": 0.0, "words": [{"start": 2412.95, "end": 2413.49, "word": "أربعة", "probability": 0.7110188802083334}, {"start": 2413.49, "end": 2413.71, "word": " أقضاء", "probability": 0.445037841796875}, {"start": 2413.71, "end": 2413.95, "word": " هو", "probability": 0.89599609375}, {"start": 2413.95, "end": 2414.81, "word": " مضلع", 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4117, 9307, 25124, 3615, 3555], "avg_logprob": -0.25405093199676937, "compression_ratio": 1.3623188405797102, "no_speech_prob": 0.0, "words": [{"start": 2643.28, "end": 2643.92, "word": "يبقى", "probability": 0.795166015625}, {"start": 2643.92, "end": 2644.42, "word": " مين", "probability": 0.8447265625}, {"start": 2644.42, "end": 2644.9, "word": " مكان", "probability": 0.738525390625}, {"start": 2644.9, "end": 2645.04, "word": " ال", "probability": 0.87548828125}, {"start": 2645.04, "end": 2645.44, "word": " rotations", "probability": 0.94970703125}, {"start": 2645.44, "end": 2646.42, "word": " ليش؟", "probability": 0.80908203125}, {"start": 2646.42, "end": 2646.66, "word": " لإن", "probability": 0.8040364583333334}, {"start": 2646.66, "end": 2646.82, "word": " احنا", "probability": 0.8751627604166666}, {"start": 2646.82, "end": 2647.0, "word": " لما", "probability": 0.9033203125}, {"start": 2647.0, "end": 2647.46, "word": " أخدنا", "probability": 0.862548828125}, {"start": 2647.46, "end": 2647.7, "word": " دي", "probability": 0.476806640625}, {"start": 2647.7, "end": 2648.0, "word": " for", "probability": 0.435546875}, {"start": 2648.0, "end": 2648.26, "word": " goal", "probability": 0.486083984375}, {"start": 2648.26, "end": 2648.9, "word": " فيه", "probability": 0.775146484375}, {"start": 2648.9, "end": 2649.48, "word": " أربع", "probability": 0.7395833333333334}, {"start": 2649.48, "end": 2650.26, "word": " rotations", "probability": 0.98486328125}, {"start": 2650.26, "end": 2650.46, "word": " و", "probability": 0.86767578125}, {"start": 2650.46, "end": 2650.86, "word": " أربع", "probability": 0.9015299479166666}, {"start": 2650.86, "end": 2651.96, "word": " reflections،", "probability": 0.796142578125}, {"start": 2651.96, "end": 2652.04, "word": " من", "probability": 0.63330078125}, {"start": 2652.04, "end": 2653.92, "word": " ذاكرين؟", "probability": 0.89697265625}, {"start": 2653.92, "end": 2654.38, "word": " سكات", "probability": 0.6156412760416666}, {"start": 2654.38, "end": 2654.86, "word": " الشعب", "probability": 0.9879557291666666}], "temperature": 1.0}, {"id": 112, "seek": 267585, "start": 2655.79, "end": 2675.85, "text": "اربع روتيشن واربع رفليكشن يبقى اربع روتيشن يبقى اربع روتيشن واربع رفليكشن يبقى اربع روتيشن", "tokens": [9640, 3555, 3615, 12602, 35473, 1829, 8592, 1863, 4032, 9640, 3555, 3615, 12602, 5172, 20292, 4117, 8592, 1863, 7251, 3555, 4587, 7578, 1975, 25513, 3615, 12602, 35473, 1829, 8592, 1863, 7251, 3555, 4587, 7578, 1975, 25513, 3615, 12602, 35473, 1829, 8592, 1863, 4032, 9640, 3555, 3615, 12602, 5172, 20292, 4117, 8592, 1863, 7251, 3555, 4587, 7578, 1975, 25513, 3615, 12602, 35473, 1829, 8592, 1863], "avg_logprob": -0.2899038461538462, "compression_ratio": 2.721311475409836, "no_speech_prob": 0.0, "words": [{"start": 2655.79, "end": 2656.41, "word": "اربع", "probability": 0.6514892578125}, {"start": 2656.41, "end": 2657.07, "word": " روتيشن", "probability": 0.695849609375}, {"start": 2657.07, "end": 2657.67, "word": " واربع", "probability": 0.9017333984375}, {"start": 2657.67, "end": 2658.45, "word": " رفليكشن", "probability": 0.8636881510416666}, {"start": 2658.45, "end": 2663.29, "word": " يبقى", "probability": 0.6915435791015625}, {"start": 2663.29, "end": 2663.67, "word": " اربع", "probability": 0.6648356119791666}, {"start": 2663.67, "end": 2664.51, "word": " روتيشن", "probability": 0.897265625}, {"start": 2664.51, "end": 2665.27, "word": " يبقى", "probability": 0.73779296875}, {"start": 2665.27, "end": 2665.69, "word": " اربع", "probability": 0.9436848958333334}, {"start": 2665.69, "end": 2666.25, "word": " روتيشن", "probability": 0.978515625}, {"start": 2666.25, "end": 2668.01, "word": " واربع", "probability": 0.7418441772460938}, {"start": 2668.01, "end": 2669.03, "word": " رفليكشن", "probability": 0.9853515625}, {"start": 2669.03, "end": 2673.63, "word": " يبقى", "probability": 0.8936767578125}, {"start": 2673.63, "end": 2673.99, "word": " اربع", "probability": 0.9768880208333334}, {"start": 2673.99, "end": 2675.85, "word": " روتيشن", "probability": 0.983984375}], "temperature": 1.0}, {"id": 113, "seek": 269865, "start": 2675.97, "end": 2698.65, "text": "و كتبت معاكم في الدفتر ان لو ضربت ال reflection فى ال rotation او ال rotation فى ال reflection على كل الأمرين بده يطلع مين reflection تمام يبقى ارى اللى عندها دى rotation بتسعين بتنين وسبعين بمية وعشرين انت حر مين ما تكون ال rotation داك", "tokens": [2407, 9122, 2655, 3555, 2655, 20449, 995, 24793, 8978, 32748, 5172, 2655, 2288, 16472, 45164, 48812, 25513, 2655, 2423, 12914, 6156, 7578, 2423, 12447, 1975, 2407, 2423, 12447, 6156, 7578, 2423, 12914, 15844, 28242, 16247, 29973, 9957, 47525, 3224, 7251, 9566, 1211, 3615, 3714, 9957, 12914, 46811, 10943, 7251, 3555, 4587, 7578, 1975, 2288, 7578, 13672, 7578, 43242, 11296, 11778, 7578, 12447, 39894, 3794, 3615, 9957, 39894, 1863, 9957, 4032, 35457, 3615, 9957, 4724, 2304, 10632, 4032, 3615, 46309, 9957, 16472, 2655, 11331, 2288, 3714, 9957, 19446, 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{"start": 2685.65, "end": 2685.89, "word": " بده", "probability": 0.4608154296875}, {"start": 2685.89, "end": 2686.29, "word": " يطلع", "probability": 0.9853515625}, {"start": 2686.29, "end": 2686.73, "word": " مين", "probability": 0.60430908203125}, {"start": 2686.73, "end": 2687.97, "word": " reflection", "probability": 0.7666015625}, {"start": 2687.97, "end": 2689.51, "word": " تمام", "probability": 0.82666015625}, {"start": 2689.51, "end": 2690.47, "word": " يبقى", "probability": 0.86700439453125}, {"start": 2690.47, "end": 2690.87, "word": " ارى", "probability": 0.6400553385416666}, {"start": 2690.87, "end": 2691.09, "word": " اللى", "probability": 0.955078125}, {"start": 2691.09, "end": 2691.79, "word": " عندها", "probability": 0.57611083984375}, {"start": 2691.79, "end": 2691.97, "word": " دى", "probability": 0.90625}, {"start": 2691.97, "end": 2692.75, "word": " rotation", "probability": 0.98681640625}, {"start": 2692.75, "end": 2693.79, "word": " بتسعين", "probability": 0.87249755859375}, {"start": 2693.79, "end": 2694.29, "word": " بتنين", "probability": 0.8084309895833334}, {"start": 2694.29, "end": 2695.07, "word": " وسبعين", "probability": 0.92919921875}, {"start": 2695.07, "end": 2695.53, "word": " بمية", "probability": 0.8922526041666666}, {"start": 2695.53, "end": 2696.25, "word": " وعشرين", "probability": 0.9061279296875}, {"start": 2696.25, "end": 2696.85, "word": " انت", "probability": 0.943359375}, {"start": 2696.85, "end": 2697.09, "word": " حر", "probability": 0.9833984375}, {"start": 2697.09, "end": 2697.31, "word": " مين", "probability": 0.768310546875}, {"start": 2697.31, "end": 2697.43, "word": " ما", "probability": 0.80322265625}, {"start": 2697.43, "end": 2697.67, "word": " تكون", "probability": 0.976318359375}, {"start": 2697.67, "end": 2697.79, "word": " ال", "probability": 0.97705078125}, {"start": 2697.79, "end": 2698.21, "word": " rotation", "probability": 0.99267578125}, {"start": 2698.21, "end": 2698.65, "word": " داك", "probability": 0.76025390625}], "temperature": 1.0}, {"id": 114, "seek": 271675, "start": 2698.95, "end": 2716.75, "text": "معنى هذا الكلام ان ال rotation commutes مع نفسها مع أي rotation أخرى لكن مع ال reflection مش صحيح يعني لما كنا نقول مثلا R تسعين في H هل هي H في R تسعين؟", "tokens": [2304, 3615, 1863, 7578, 23758, 2423, 28820, 10943, 16472, 2423, 12447, 800, 1819, 20449, 8717, 36178, 11296, 20449, 36632, 12447, 5551, 34740, 7578, 44381, 20449, 2423, 12914, 37893, 20328, 5016, 1829, 5016, 37495, 22653, 5296, 15042, 9122, 8315, 8717, 39648, 50113, 15040, 497, 6055, 3794, 3615, 9957, 8978, 389, 8032, 1211, 39896, 389, 8978, 497, 6055, 3794, 3615, 9957, 22807], "avg_logprob": -0.22028688036027502, "compression_ratio": 1.4596273291925466, "no_speech_prob": 0.0, "words": [{"start": 2698.95, "end": 2699.79, "word": "معنى", "probability": 0.79638671875}, {"start": 2699.79, "end": 2699.99, "word": " هذا", "probability": 0.83544921875}, {"start": 2699.99, "end": 2700.51, "word": " الكلام", "probability": 0.8976236979166666}, {"start": 2700.51, "end": 2700.85, "word": " ان", "probability": 0.431396484375}, {"start": 2700.85, "end": 2701.03, "word": " ال", "probability": 0.76318359375}, {"start": 2701.03, "end": 2701.53, "word": " rotation", "probability": 0.63037109375}, {"start": 2701.53, "end": 2702.71, "word": " commutes", "probability": 0.545074462890625}, {"start": 2702.71, "end": 2703.09, "word": " مع", "probability": 0.9638671875}, {"start": 2703.09, "end": 2703.99, "word": " نفسها", "probability": 0.9724934895833334}, {"start": 2703.99, "end": 2704.51, "word": " مع", "probability": 0.66015625}, {"start": 2704.51, "end": 2704.95, "word": " أي", "probability": 0.4931640625}, {"start": 2704.95, "end": 2706.05, "word": " rotation", "probability": 0.90234375}, {"start": 2706.05, "end": 2706.83, "word": " أخرى", "probability": 0.9285481770833334}, {"start": 2706.83, "end": 2707.21, "word": " لكن", "probability": 0.76953125}, {"start": 2707.21, "end": 2707.43, "word": " مع", "probability": 0.974609375}, {"start": 2707.43, "end": 2707.57, "word": " ال", "probability": 0.73291015625}, {"start": 2707.57, "end": 2708.09, "word": " reflection", "probability": 0.89599609375}, {"start": 2708.09, "end": 2709.13, "word": " مش", "probability": 0.54296875}, {"start": 2709.13, "end": 2709.75, "word": " صحيح", "probability": 0.994873046875}, {"start": 2709.75, "end": 2710.45, "word": " يعني", "probability": 0.88720703125}, {"start": 2710.45, "end": 2710.65, "word": " لما", "probability": 0.890869140625}, {"start": 2710.65, "end": 2710.97, "word": " كنا", "probability": 0.902099609375}, {"start": 2710.97, "end": 2711.31, "word": " نقول", "probability": 0.95068359375}, {"start": 2711.31, "end": 2711.69, "word": " مثلا", "probability": 0.903564453125}, {"start": 2711.69, "end": 2712.17, "word": " R", "probability": 0.48681640625}, {"start": 2712.17, "end": 2713.41, "word": " تسعين", "probability": 0.8961181640625}, {"start": 2713.41, "end": 2714.01, "word": " في", "probability": 0.96142578125}, {"start": 2714.01, "end": 2714.63, "word": " H", "probability": 0.91259765625}, {"start": 2714.63, "end": 2715.23, "word": " هل", "probability": 0.8447265625}, {"start": 2715.23, "end": 2715.43, "word": " هي", "probability": 0.77783203125}, {"start": 2715.43, "end": 2715.75, "word": " H", "probability": 0.759765625}, {"start": 2715.75, "end": 2715.95, "word": " في", "probability": 0.435791015625}, {"start": 2715.95, "end": 2716.07, "word": " R", "probability": 0.96923828125}, {"start": 2716.07, "end": 2716.75, "word": " تسعين؟", "probability": 0.9365234375}], "temperature": 1.0}, {"id": 115, "seek": 273516, "start": 2721.12, "end": 2735.16, "text": "العملية ليست إبدالية لما نقل روتيشن مع نفسه اذا قلت ر تسعين في ر مية و تمانين أليست ر مية و تمانين في ر تسعين؟", "tokens": [6027, 3615, 42213, 10632, 32239, 14851, 11933, 44510, 6027, 10632, 5296, 15042, 8717, 4587, 1211, 12602, 35473, 1829, 8592, 1863, 20449, 8717, 36178, 3224, 1975, 15730, 12174, 1211, 2655, 12602, 6055, 3794, 3615, 9957, 8978, 12602, 3714, 10632, 4032, 46811, 7649, 9957, 5551, 20292, 14851, 12602, 3714, 10632, 4032, 46811, 7649, 9957, 8978, 12602, 6055, 3794, 3615, 9957, 22807], "avg_logprob": -0.47864582935969036, "compression_ratio": 1.7345132743362832, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2721.12, "end": 2722.0, "word": "العملية", "probability": 0.570587158203125}, {"start": 2722.0, "end": 2722.84, "word": " ليست", "probability": 0.7421875}, {"start": 2722.84, "end": 2724.02, "word": " إبدالية", "probability": 0.7841796875}, {"start": 2724.02, "end": 2726.74, "word": " لما", "probability": 0.32611083984375}, {"start": 2726.74, "end": 2727.2, "word": " نقل", "probability": 0.5763346354166666}, {"start": 2727.2, "end": 2728.02, "word": " روتيشن", "probability": 0.64832763671875}, {"start": 2728.02, "end": 2728.18, "word": " مع", "probability": 0.603515625}, {"start": 2728.18, "end": 2728.62, "word": " نفسه", "probability": 0.7647298177083334}, 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{"start": 2733.42, "end": 2733.52, "word": " و", "probability": 0.9765625}, {"start": 2733.52, "end": 2733.94, "word": " تمانين", "probability": 0.982421875}, {"start": 2733.94, "end": 2734.1, "word": " في", "probability": 0.93408203125}, {"start": 2734.1, "end": 2734.26, "word": " ر", "probability": 0.76025390625}, {"start": 2734.26, "end": 2735.16, "word": " تسعين؟", "probability": 0.88505859375}], "temperature": 1.0}, {"id": 116, "seek": 276185, "start": 2742.59, "end": 2761.85, "text": "يعني يعني الإبدال مع ال rotation مية المية ماعناه مشكلة إذا لما أقول ال subgroup generated by R هذه هتعطيني مين؟ هتعطيني ال identity element اللي هسميه مين؟ اللي هسميه Arnold", "tokens": [40228, 22653, 37495, 22653, 33688, 44510, 6027, 20449, 2423, 12447, 3714, 10632, 9673, 10632, 19446, 3615, 8315, 3224, 37893, 28820, 3660, 11933, 15730, 5296, 15042, 5551, 39648, 2423, 1422, 17377, 10833, 538, 497, 29538, 8032, 2655, 3615, 9566, 9957, 1829, 3714, 9957, 22807, 8032, 2655, 3615, 9566, 9957, 1829, 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"start": 2789.0, "end": 2812.74, "text": "من جديد يبقى ال rotation is a cyclic subgroup أي rotation وخلّينا معاه R أربعة اللي أخدناها مع D أربعة غزنة يبقى ال R node cyclic group generated by R node مافيش فيها إلا element واحد ال R تسعين cyclic subgroup فيها كام عنصر", "tokens": [27842, 10874, 16254, 3215, 7251, 3555, 4587, 7578, 2423, 12447, 307, 257, 38154, 1050, 1422, 17377, 36632, 12447, 4032, 9778, 1211, 11703, 1829, 8315, 20449, 40294, 497, 5551, 25513, 27884, 13672, 1829, 5551, 9778, 3215, 8315, 11296, 20449, 413, 5551, 25513, 27884, 32771, 11622, 1863, 3660, 7251, 3555, 4587, 7578, 2423, 497, 9984, 38154, 1050, 1594, 10833, 538, 497, 9984, 19446, 41185, 8592, 8978, 11296, 11933, 15040, 4478, 36764, 24401, 2423, 497, 6055, 3794, 3615, 9957, 38154, 1050, 1422, 17377, 8978, 11296, 9122, 10943, 18871, 9381, 2288], "avg_logprob": -0.23810370029373604, "compression_ratio": 1.5643564356435644, "no_speech_prob": 0.0, "words": [{"start": 2789.0, "end": 2789.4, "word": "من", 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