diff --git "a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/nvh2dOLwT_0_raw.json" "b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/nvh2dOLwT_0_raw.json"
new file mode 100644--- /dev/null
+++ "b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/nvh2dOLwT_0_raw.json"
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4863, "start": 21.51, "end": 48.63, "text": "بسم الله الرحمن الرحيم انتهينا في المرة الماضية من شبتر تسعة والان بدنا نعمل discussion حول هذا الشبتر بيقول ايش بيقول لو كان عندى ال cyclic group G يبقى any factor group for this cyclic group is cyclic يعني ايه؟ يعني لما نقول لو افترضنا G is a cyclic group generated by A", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 16472, 47395, 1829, 8315, 8978, 9673, 25720, 9673, 46958, 10632, 9154, 13412, 3555, 2655, 2288, 6055, 3794, 27884, 16070, 7649, 47525, 8315, 8717, 25957, 1211, 5017, 11331, 12610, 23758, 25124, 3555, 2655, 2288, 4724, 1829, 39648, 1975, 1829, 8592, 4724, 1829, 39648, 45164, 25961, 43242, 7578, 2423, 38154, 1050, 1594, 460, 7251, 3555, 4587, 7578, 604, 5952, 1594, 337, 341, 38154, 1050, 1594, 307, 38154, 1050, 37495, 22653, 1975, 1829, 3224, 22807, 37495, 22653, 5296, 15042, 8717, 39648, 45164, 1975, 5172, 2655, 43042, 8315, 460, 307, 257, 38154, 1050, 1594, 10833, 538, 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"probability": 0.6326904296875}, {"start": 110.91, "end": 111.37, "word": " ساميه", "probability": 0.697509765625}, {"start": 111.37, "end": 111.43, "word": " اللي", "probability": 0.97509765625}, {"start": 111.43, "end": 111.79, "word": " بدك", "probability": 0.94384765625}, {"start": 111.79, "end": 112.01, "word": " ايه", "probability": 0.6510416666666666}, {"start": 112.01, "end": 113.21, "word": " ساميه", "probability": 0.8128662109375}, {"start": 113.21, "end": 113.65, "word": " والله", "probability": 0.7763671875}, {"start": 113.65, "end": 113.97, "word": " قبل", "probability": 0.613525390625}, {"start": 113.97, "end": 114.15, "word": " ال", "probability": 0.9658203125}, {"start": 114.15, "end": 114.57, "word": " BH", "probability": 0.289794921875}, {"start": 114.57, "end": 116.27, "word": " بدي", "probability": 0.754638671875}, {"start": 116.27, "end": 116.81, "word": " اقول", "probability": 0.87841796875}, {"start": 116.81, "end": 117.03, "word": " ان", "probability": 0.36376953125}, {"start": 117.03, "end": 117.65, "word": " اثبت", "probability": 0.8355712890625}, {"start": 117.65, "end": 117.91, "word": " ما", "probability": 0.59765625}, {"start": 117.91, "end": 118.45, "word": " ياتي", "probability": 0.5723470052083334}, {"start": 118.45, "end": 118.81, "word": " want", "probability": 0.4755859375}, {"start": 118.81, "end": 119.05, "word": " to", "probability": 0.90771484375}, {"start": 119.05, "end": 119.33, "word": " show", "probability": 0.92724609375}, {"start": 119.33, "end": 119.85, "word": " that", "probability": 0.95068359375}], "temperature": 1.0}, {"id": 5, "seek": 14690, "start": 122.04, "end": 146.9, "text": "to show that نحاول نبين ان الـ G modulo H هي عبارة عن subgroup generated by any element من مكان يكون الـ element هذا وليكن على سبيل المثال H كويس", "tokens": [1353, 855, 300, 8717, 5016, 995, 12610, 8717, 3555, 9957, 16472, 2423, 39184, 460, 1072, 13455, 389, 39896, 6225, 3555, 9640, 3660, 18871, 1422, 17377, 10833, 538, 604, 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"end": 136.8, "word": " الـ", "probability": 0.704833984375}, {"start": 136.8, "end": 137.16, "word": " element", "probability": 0.88037109375}, {"start": 137.16, "end": 137.64, "word": " هذا", "probability": 0.9130859375}, {"start": 137.64, "end": 138.8, "word": " وليكن", "probability": 0.7584635416666666}, {"start": 138.8, "end": 139.14, "word": " على", "probability": 0.9580078125}, {"start": 139.14, "end": 139.78, "word": " سبيل", "probability": 0.98974609375}, {"start": 139.78, "end": 140.68, "word": " المثال", "probability": 0.9959309895833334}, {"start": 140.68, "end": 141.72, "word": " H", "probability": 0.70166015625}, {"start": 141.72, "end": 146.9, "word": " كويس", "probability": 0.90478515625}], "temperature": 1.0}, {"id": 6, "seek": 17694, "start": 148.4, "end": 176.94, "text": "مشان هيك بدنا هذا تساوي لو قدت أثبت أن هذه subset من هذه و هذه subset من هذه بيتم المطلوب تمام؟ الآن السؤال هو هل الـAH هذه موجودة في الـG modulo H ولا لأ؟ تمام يعني ال subgroup generated by AH بدها تبقى subset من من subset من الـG modulo H", "tokens": [2304, 8592, 7649, 39896, 4117, 47525, 8315, 23758, 6055, 3794, 995, 45865, 45164, 12174, 3215, 2655, 5551, 12984, 3555, 2655, 14739, 29538, 25993, 9154, 29538, 4032, 29538, 25993, 9154, 29538, 4724, 36081, 2304, 9673, 9566, 1211, 37746, 46811, 10943, 22807, 6024, 48506, 21136, 33604, 6027, 31439, 8032, 1211, 2423, 39184, 10566, 29538, 3714, 29245, 23328, 3660, 8978, 2423, 39184, 38, 1072, 13455, 389, 49429, 5296, 10721, 22807, 46811, 10943, 37495, 22653, 2423, 1422, 17377, 10833, 538, 25888, 47525, 11296, 6055, 3555, 4587, 7578, 25993, 9154, 9154, 25993, 9154, 2423, 39184, 38, 1072, 13455, 389], "avg_logprob": -0.2745065858489589, "compression_ratio": 1.6990740740740742, "no_speech_prob": 0.0, "words": [{"start": 148.4, "end": 148.98, "word": "مشان", "probability": 0.6906331380208334}, {"start": 148.98, "end": 149.86, "word": " هيك", "probability": 0.86279296875}, {"start": 149.86, "end": 150.54, "word": " بدنا", "probability": 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element موجود في ال group يبقى ال sub group المتكونة بهذا ال element بتبقى ال subset من من ال group الأساسية ويعتبر ان هذه رقم واحد بدنا نعمل العملية العكسية بدنا ناخد element هنا ونحاول نثبت انه موجود هنا اذا لو روحت quote let", "tokens": [2304, 19913, 3555, 2407, 9566, 8032, 4117, 15730, 2423, 4478, 3714, 29245, 23328, 8978, 2423, 1594, 7251, 3555, 4587, 7578, 2423, 1422, 1594, 9673, 2655, 30544, 3660, 39627, 15730, 2423, 4478, 39894, 3555, 4587, 7578, 2423, 25993, 9154, 9154, 2423, 1594, 16247, 3794, 32277, 10632, 4032, 1829, 34268, 26890, 16472, 29538, 12602, 4587, 2304, 36764, 24401, 47525, 8315, 8717, 25957, 1211, 18863, 42213, 10632, 18863, 4117, 3794, 10632, 47525, 8315, 8717, 47283, 3215, 4478, 34105, 4032, 1863, 5016, 995, 12610, 8717, 12984, 3555, 2655, 16472, 3224, 3714, 29245, 23328, 34105, 1975, 15730, 45164, 12602, 2407, 33753, 6513, 718], "avg_logprob": -0.27588383958797263, "compression_ratio": 1.8238095238095238, "no_speech_prob": 0.0, "words": [{"start": 177.81, 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" المتكونة", "probability": 0.79156494140625}, {"start": 183.67, "end": 184.23, "word": " بهذا", "probability": 0.956298828125}, {"start": 184.23, "end": 184.51, "word": " ال", "probability": 0.90869140625}, {"start": 184.51, "end": 185.11, "word": " element", "probability": 0.96728515625}, {"start": 185.11, "end": 186.23, "word": " بتبقى", "probability": 0.814208984375}, {"start": 186.23, "end": 186.43, "word": " ال", "probability": 0.849609375}, {"start": 186.43, "end": 186.93, "word": " subset", "probability": 0.896484375}, {"start": 186.93, "end": 187.39, "word": " من", "probability": 0.97216796875}, {"start": 187.39, "end": 187.65, "word": " من", "probability": 0.4140625}, {"start": 187.65, "end": 188.39, "word": " ال", "probability": 0.654296875}, {"start": 188.39, "end": 188.67, "word": " group", "probability": 0.978515625}, {"start": 188.67, "end": 189.73, "word": " الأساسية", "probability": 0.944580078125}, {"start": 189.73, "end": 190.41, "word": " ويعتبر", "probability": 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كويس الآن احنا عندنا B موجودة في الـ G مظبوط ولا لا؟ B موجودة في الـ G", "tokens": [6027, 39184, 363, 389, 3714, 29245, 23328, 3660, 8978, 2423, 39184, 460, 1072, 13455, 389, 11933, 15730, 12174, 3215, 43500, 5551, 12984, 3555, 2655, 36145, 2423, 39184, 363, 389, 3714, 29245, 23328, 3660, 34105, 4724, 36081, 2304, 9673, 9566, 1211, 37746, 23032, 1829, 3555, 9122, 45865, 3794, 6024, 48506, 1975, 5016, 8315, 43242, 8315, 363, 3714, 29245, 23328, 3660, 8978, 2423, 39184, 460, 3714, 19913, 3555, 2407, 9566, 49429, 20193, 22807, 363, 3714, 29245, 23328, 3660, 8978, 2423, 39184, 460], "avg_logprob": -0.21566358613379208, "compression_ratio": 1.773972602739726, "no_speech_prob": 0.0, "words": [{"start": 204.52, "end": 205.1, "word": "الـ", "probability": 0.751708984375}, {"start": 205.1, "end": 205.32, "word": " B", "probability": 0.2318115234375}, {"start": 205.32, "end": 206.06, "word": " H", "probability": 0.58447265625}, {"start": 206.06, "end": 207.12, "word": " موجودة", "probability": 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29313, "start": 273.79, "end": 293.13, "text": "يبقى AI في ال H AI في H عبارة عن A H A H A H I من المرات او بمعنى اخر هذه بدها تساوي A H كله to the power I", "tokens": [1829, 3555, 4587, 7578, 7318, 8978, 2423, 389, 7318, 8978, 389, 6225, 3555, 9640, 3660, 18871, 316, 389, 316, 389, 316, 389, 286, 9154, 9673, 2288, 9307, 1975, 2407, 4724, 2304, 3615, 1863, 7578, 1975, 34740, 29538, 47525, 11296, 6055, 3794, 995, 45865, 316, 389, 28242, 3224, 281, 264, 1347, 286], "avg_logprob": -0.2223557669382829, "compression_ratio": 1.2764227642276422, "no_speech_prob": 0.0, "words": [{"start": 273.79, "end": 274.67, "word": "يبقى", "probability": 0.9556884765625}, {"start": 274.67, "end": 275.45, "word": " AI", "probability": 0.491943359375}, {"start": 275.45, "end": 276.41, "word": " في", "probability": 0.84619140625}, {"start": 276.41, "end": 276.87, "word": " ال", "probability": 0.462890625}, {"start": 276.87, "end": 277.71, "word": " H", "probability": 0.2169189453125}, {"start": 277.71, "end": 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11296, 6055, 3794, 995, 45865, 2423, 1422, 17377, 10833, 538, 389, 7251, 3555, 4587, 7578, 34105, 370, 2423, 460, 1072, 13455, 389, 307, 38154, 1050, 4032, 7649, 47395, 1829, 8315, 9154, 21136, 33604, 6027], "avg_logprob": -0.24490489583948385, "compression_ratio": 1.2213740458015268, "no_speech_prob": 0.0, "words": [{"start": 327.78, "end": 328.34, "word": "إن", "probability": 0.552032470703125}, {"start": 328.34, "end": 328.66, "word": " الـ", "probability": 0.624267578125}, {"start": 328.66, "end": 328.84, "word": " G", "probability": 0.73876953125}, {"start": 328.84, "end": 329.66, "word": " modulo", "probability": 0.839599609375}, {"start": 329.66, "end": 330.12, "word": " H", "probability": 0.93212890625}, {"start": 330.12, "end": 330.92, "word": " اللي", "probability": 0.680419921875}, {"start": 330.92, "end": 331.42, "word": " بدها", "probability": 0.830078125}, {"start": 331.42, "end": 332.22, "word": " تساوي", "probability": 0.970458984375}, {"start": 332.22, "end": 332.86, 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subgroup generated by تمانية يساوي ستة زائد تمانية زي ال subgroup generated by تمانية ال element هذا موجود هنا ولا لا يبقى هدول إيش بدهم يعطوني؟", "tokens": [6027, 9640, 3555, 34268, 33599, 2288, 30767, 1829, 2423, 1422, 17377, 10833, 538, 46811, 7649, 10632, 7251, 3794, 995, 45865, 8608, 2655, 3660, 30767, 16373, 3215, 46811, 7649, 10632, 30767, 1829, 2423, 1422, 17377, 10833, 538, 46811, 7649, 10632, 2423, 4478, 23758, 3714, 29245, 23328, 34105, 49429, 20193, 7251, 3555, 4587, 7578, 8032, 3215, 12610, 11933, 1829, 8592, 47525, 16095, 37495, 9566, 11536, 1829, 22807], "avg_logprob": -0.23129735029104984, "compression_ratio": 1.585987261146497, "no_speech_prob": 0.0, "words": [{"start": 426.38, "end": 427.42, "word": "الاربعتاشر", "probability": 0.7037760416666666}, {"start": 427.42, "end": 427.7, "word": " زي", "probability": 0.804443359375}, {"start": 427.7, "end": 427.94, "word": " ال", "probability": 0.54541015625}, {"start": 427.94, "end": 428.66, "word": " subgroup", 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"word": " تبعات", "probability": 0.8516845703125}, {"start": 844.86, "end": 845.36, "word": " ال", "probability": 0.787109375}, {"start": 845.36, "end": 845.78, "word": " group", "probability": 0.982421875}, {"start": 845.78, "end": 846.06, "word": " اللي", "probability": 0.880126953125}, {"start": 846.06, "end": 846.52, "word": " عندنا", "probability": 0.97802734375}, {"start": 846.52, "end": 847.16, "word": " ونبدأ", "probability": 0.7940673828125}, {"start": 847.16, "end": 847.8, "word": " نضربهم", "probability": 0.9876708984375}, {"start": 847.8, "end": 848.0, "word": " في", "probability": 0.9248046875}, {"start": 848.0, "end": 848.34, "word": " مين", "probability": 0.5927734375}], "temperature": 1.0}, {"id": 37, "seek": 87417, "start": 848.83, "end": 874.17, "text": "في ال H طبعا هيطلعوا بعضهم يساوي بعض أو هيطلعوا الستة منهم كل ستة بيساوي بعض فبيصف عنا مين؟ بيصف عنا التمانية اللي قدامنا هدول يبقى هدول عناصر ال group اللي عندك كان سؤال هو هذه isomorphic لمين؟ هل أزد تمانية؟ والله لهذه والله لهذه تعالوا نشوف", "tokens": [41185, 2423, 389, 23032, 3555, 3615, 995, 39896, 9566, 1211, 3615, 14407, 45030, 11242, 16095, 7251, 3794, 995, 45865, 45030, 11242, 34051, 39896, 9566, 1211, 3615, 14407, 21136, 2655, 3660, 9154, 16095, 28242, 8608, 2655, 3660, 4724, 1829, 3794, 995, 45865, 45030, 11242, 6156, 3555, 1829, 9381, 5172, 6225, 8315, 3714, 9957, 22807, 4724, 1829, 9381, 5172, 6225, 8315, 16712, 2304, 7649, 10632, 13672, 1829, 12174, 3215, 10943, 8315, 8032, 3215, 12610, 7251, 3555, 4587, 7578, 8032, 3215, 12610, 18871, 33546, 2288, 2423, 1594, 13672, 1829, 43242, 4117, 25961, 8608, 33604, 6027, 31439, 29538, 307, 32702, 299, 32767, 9957, 22807, 8032, 1211, 5551, 11622, 3215, 46811, 7649, 10632, 22807, 16070, 43761, 46740, 24192, 16070, 43761, 46740, 24192, 37279, 6027, 14407, 8717, 8592, 38688], "avg_logprob": -0.22190019692624768, "compression_ratio": 1.918552036199095, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 848.83, "end": 849.13, "word": 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تلاتة انسى الموضوع تلاتة لأن هذه فيها تمانية عناصر ال order لل element بدي اجسم ال order لل group يا واحد يا اتنين يا اربعة يا تمانية مظبوط السؤال هو هل هناك element ال order له يساوي تمانية", "tokens": [1211, 2407, 5551, 9778, 3215, 2655, 6225, 8592, 2407, 16373, 25528, 36632, 4478, 9154, 8032, 3215, 12610, 8032, 2655, 15040, 38436, 2423, 1668, 46740, 35186, 36764, 24401, 6055, 1211, 9307, 3660, 16472, 3794, 7578, 9673, 2407, 11242, 45367, 6055, 1211, 9307, 3660, 5296, 33456, 29538, 8978, 11296, 46811, 7649, 10632, 18871, 33546, 2288, 2423, 1668, 24976, 4478, 4724, 16254, 1975, 7435, 38251, 2423, 1668, 24976, 1594, 35186, 36764, 24401, 35186, 1975, 2655, 1863, 9957, 35186, 1975, 25513, 27884, 35186, 46811, 7649, 10632, 3714, 19913, 3555, 2407, 9566, 21136, 33604, 6027, 31439, 8032, 1211, 34105, 4117, 4478, 2423, 1668, 46740, 7251, 3794, 995, 45865, 46811, 7649, 10632], "avg_logprob": -0.2083820079531625, "compression_ratio": 1.9154929577464788, "no_speech_prob": 0.0, "words": 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أربع", "probability": 0.7032877604166666}, {"start": 1091.95, "end": 1092.37, "word": " external", "probability": 0.66552734375}, {"start": 1092.37, "end": 1092.83, "word": " product", "probability": 0.763671875}, {"start": 1092.83, "end": 1093.65, "word": " مع", "probability": 0.66650390625}, {"start": 1093.65, "end": 1094.53, "word": " زد", "probability": 0.82666015625}, {"start": 1094.53, "end": 1095.03, "word": " اتنين", "probability": 0.9354248046875}, {"start": 1095.03, "end": 1095.83, "word": " يبقى", "probability": 0.9697265625}, {"start": 1095.83, "end": 1096.17, "word": " هذا", "probability": 0.86962890625}, {"start": 1096.17, "end": 1096.71, "word": " بده", "probability": 0.46600341796875}, {"start": 1096.71, "end": 1097.41, "word": " يعطيني", "probability": 0.7890625}], "temperature": 1.0}, {"id": 49, "seek": 111658, "start": 1097.75, "end": 1116.59, "text": "الجروب اللي عندنا هو Z4 Xenodyic product لـ Z12 is not isomorphic لـ Z8 لأن Z8 فيها elements ال order لهم يسوى تمانية", "tokens": [6027, 7435, 32887, 3555, 13672, 1829, 43242, 8315, 31439, 1176, 19, 1783, 268, 843, 299, 1674, 5296, 39184, 1176, 4762, 307, 406, 307, 32702, 299, 5296, 39184, 1176, 23, 5296, 33456, 1176, 23, 8978, 11296, 4959, 2423, 1668, 5296, 16095, 7251, 3794, 2407, 7578, 46811, 7649, 10632], "avg_logprob": -0.41080730470518273, "compression_ratio": 1.1267605633802817, "no_speech_prob": 0.0, "words": [{"start": 1097.75, "end": 1099.13, "word": "الجروب", "probability": 0.56939697265625}, {"start": 1099.13, "end": 1099.41, "word": " اللي", "probability": 0.635009765625}, {"start": 1099.41, "end": 1100.07, "word": " عندنا", "probability": 0.838623046875}, {"start": 1100.07, "end": 1101.27, "word": " هو", "probability": 0.369384765625}, {"start": 1101.27, "end": 1102.87, "word": " Z4", "probability": 0.4903564453125}, {"start": 1102.87, "end": 1104.01, "word": " Xenodyic", "probability": 0.465484619140625}, {"start": 1104.01, "end": 1104.65, "word": " product", "probability": 0.61572265625}, {"start": 1104.65, "end": 1105.49, "word": " لـ", "probability": 0.5186767578125}, {"start": 1105.49, "end": 1106.37, "word": " Z12", "probability": 0.804443359375}, {"start": 1106.37, "end": 1107.31, "word": " is", "probability": 0.55126953125}, {"start": 1107.31, "end": 1108.07, "word": " not", "probability": 0.9345703125}, {"start": 1108.07, "end": 1109.67, "word": " isomorphic", "probability": 0.8860677083333334}, {"start": 1109.67, "end": 1110.37, "word": " لـ", "probability": 0.80615234375}, {"start": 1110.37, "end": 1111.51, "word": " Z8", "probability": 0.900634765625}, {"start": 1111.51, "end": 1112.37, "word": " لأن", "probability": 0.803955078125}, {"start": 1112.37, "end": 1113.17, "word": " Z8", "probability": 0.9453125}, {"start": 1113.17, "end": 1113.69, "word": " فيها", "probability": 0.95361328125}, {"start": 1113.69, "end": 1114.17, "word": " elements", "probability": 0.79931640625}, {"start": 1114.17, "end": 1114.41, "word": " ال", "probability": 0.61669921875}, {"start": 1114.41, "end": 1114.81, "word": " order", "probability": 0.8232421875}, {"start": 1114.81, "end": 1115.31, "word": " له��", "probability": 0.57354736328125}, {"start": 1115.31, "end": 1115.97, "word": " يسوى", "probability": 0.7845458984375}, {"start": 1115.97, "end": 1116.59, "word": " تمانية", "probability": 0.841796875}], "temperature": 1.0}, {"id": 50, "seek": 114580, "start": 1119.3, "end": 1145.8, "text": "الـ z4 external product مع z12 طبعا modulo h يا شباب وهنا كمان modulo h لا يمكن تبقى isomorphic إلى z2 external product مع z2 external product مع z2 because", "tokens": [6027, 39184, 710, 19, 8320, 1674, 20449, 710, 4762, 23032, 3555, 3615, 995, 1072, 13455, 276, 35186, 13412, 3555, 16758, 37037, 8315, 9122, 2304, 7649, 1072, 13455, 276, 20193, 7251, 43020, 6055, 3555, 4587, 7578, 307, 32702, 299, 30731, 710, 17, 8320, 1674, 20449, 710, 17, 8320, 1674, 20449, 710, 17, 570], "avg_logprob": -0.2762381940517785, "compression_ratio": 1.4411764705882353, 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"probability": 0.790283203125}, {"start": 1131.16, "end": 1131.68, "word": " كمان", "probability": 0.9202473958333334}, {"start": 1131.68, "end": 1132.44, "word": " modulo", "probability": 0.927001953125}, {"start": 1132.44, "end": 1132.96, "word": " h", "probability": 0.90625}, {"start": 1132.96, "end": 1133.74, "word": " لا", "probability": 0.5791015625}, {"start": 1133.74, "end": 1134.38, "word": " يمكن", "probability": 0.814208984375}, {"start": 1134.38, "end": 1135.12, "word": " تبقى", "probability": 0.9464111328125}, {"start": 1135.12, "end": 1136.48, "word": " isomorphic", "probability": 0.8785807291666666}, {"start": 1136.48, "end": 1136.84, "word": " إلى", "probability": 0.59619140625}, {"start": 1136.84, "end": 1137.82, "word": " z2", "probability": 0.962646484375}, {"start": 1137.82, "end": 1138.52, "word": " external", "probability": 0.814453125}, {"start": 1138.52, "end": 1138.98, "word": " product", "probability": 0.908203125}, {"start": 1138.98, "end": 1140.24, "word": " مع", "probability": 0.8447265625}, {"start": 1140.24, "end": 1141.28, "word": " z2", "probability": 0.98486328125}, {"start": 1141.28, "end": 1141.98, "word": " external", "probability": 0.7109375}, {"start": 1141.98, "end": 1142.72, "word": " product", "probability": 0.96533203125}, {"start": 1142.72, "end": 1143.8, "word": " مع", "probability": 0.94873046875}, {"start": 1143.8, "end": 1144.76, "word": " z2", "probability": 0.988525390625}, {"start": 1144.76, "end": 1145.8, "word": " because", "probability": 0.81640625}], "temperature": 1.0}, {"id": 51, "seek": 117433, "start": 1149.36, "end": 1174.34, "text": "the last group has orders of .. والله has elements of orders واحد واتنين فقط", "tokens": [3322, 1036, 1594, 575, 9470, 295, 4386, 16070, 43761, 575, 4959, 295, 9470, 36764, 24401, 4032, 9307, 1863, 9957, 6156, 47432], "avg_logprob": -0.1928267086094076, "compression_ratio": 1.1325301204819278, "no_speech_prob": 0.0, "words": [{"start": 1149.36, "end": 1150.76, "word": "the", "probability": 0.34130859375}, {"start": 1150.76, "end": 1152.16, "word": " last", "probability": 0.884765625}, {"start": 1152.16, "end": 1153.98, "word": " group", "probability": 0.978515625}, {"start": 1153.98, "end": 1156.74, "word": " has", "probability": 0.86962890625}, {"start": 1156.74, "end": 1159.22, "word": " orders", "probability": 0.845703125}, {"start": 1159.22, "end": 1160.9, "word": " of", "probability": 0.85986328125}, {"start": 1160.9, "end": 1162.16, "word": " ..", "probability": 0.6953125}, {"start": 1162.16, "end": 1162.56, "word": " والله", "probability": 0.698974609375}, {"start": 1162.56, "end": 1162.98, "word": " has", "probability": 0.7548828125}, {"start": 1162.98, "end": 1164.18, "word": " elements", "probability": 0.92724609375}, {"start": 1164.18, "end": 1168.94, "word": " of", "probability": 0.97509765625}, {"start": 1168.94, "end": 1170.78, "word": " orders", "probability": 0.88818359375}, {"start": 1170.78, "end": 1172.86, "word": " واحد", "probability": 0.96728515625}, {"start": 1172.86, "end": 1173.82, "word": " واتنين", "probability": 0.8704833984375}, {"start": 1173.82, "end": 1174.34, "word": " فقط", "probability": 0.988037109375}], "temperature": 1.0}, {"id": 52, "seek": 120209, "start": 1175.22, "end": 1202.1, "text": "يبقى بناء عليه بقول له thus وهكذا z for external byproduct مع z12 modulo h is isomorphic الى z4 external byproduct مع z2 يعني حذفنا two groups ولاجناها isomorphic لواحدة من ال groups الأخرى", "tokens": [1829, 3555, 4587, 7578, 44945, 16606, 47356, 4724, 39648, 46740, 8807, 37037, 4117, 15730, 710, 337, 8320, 538, 33244, 20449, 710, 4762, 1072, 13455, 276, 307, 307, 32702, 299, 2423, 7578, 710, 19, 8320, 538, 33244, 20449, 710, 17, 37495, 22653, 11331, 8848, 5172, 8315, 732, 3935, 4032, 15040, 7435, 8315, 11296, 307, 32702, 299, 5296, 14407, 24401, 3660, 9154, 2423, 3935, 16247, 34740, 7578], "avg_logprob": -0.25970643216913397, "compression_ratio": 1.4078212290502794, "no_speech_prob": 0.0, "words": [{"start": 1175.22, "end": 1175.72, "word": "يبقى", "probability": 0.831298828125}, {"start": 1175.72, "end": 1176.2, "word": " بناء", "probability": 0.84228515625}, {"start": 1176.2, "end": 1176.6, "word": " عليه", "probability": 0.63525390625}, {"start": 1176.6, "end": 1177.04, "word": " بقول", "probability": 0.913330078125}, {"start": 1177.04, "end": 1177.24, "word": " له", "probability": 0.1956787109375}, {"start": 1177.24, "end": 1177.7, "word": " thus", "probability": 0.284912109375}, {"start": 1177.7, "end": 1178.84, "word": " وهكذا", "probability": 0.841796875}, {"start": 1178.84, "end": 1179.76, "word": " z", "probability": 0.515625}, {"start": 1179.76, "end": 1180.46, "word": " for", "probability": 0.64892578125}, {"start": 1180.46, "end": 1181.34, "word": " external", "probability": 0.6845703125}, {"start": 1181.34, "end": 1182.2, "word": " byproduct", "probability": 0.4140625}, {"start": 1182.2, "end": 1183.14, "word": " مع", "probability": 0.81396484375}, {"start": 1183.14, "end": 1184.02, "word": " z12", "probability": 0.667724609375}, {"start": 1184.02, "end": 1185.04, "word": " modulo", "probability": 0.73583984375}, {"start": 1185.04, "end": 1185.46, "word": " h", "probability": 0.79248046875}, {"start": 1185.46, "end": 1186.18, "word": " is", "probability": 0.9248046875}, {"start": 1186.18, "end": 1187.94, "word": " isomorphic", "probability": 0.9168294270833334}, {"start": 1187.94, "end": 1188.44, "word": " الى", "probability": 0.609619140625}, {"start": 1188.44, "end": 1189.58, "word": " z4", "probability": 0.96826171875}, {"start": 1189.58, "end": 1190.68, "word": " external", "probability": 0.880859375}, {"start": 1190.68, "end": 1191.78, "word": " byproduct", "probability": 0.84228515625}, {"start": 1191.78, "end": 1192.84, "word": " مع", "probability": 0.962890625}, {"start": 1192.84, "end": 1193.44, "word": " z2", "probability": 0.98193359375}, {"start": 1193.44, "end": 1193.94, "word": " يعني", "probability": 0.86181640625}, {"start": 1193.94, 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اربعة جي تساوي زد اربعة external product مع زد اربعة", "tokens": [3224, 15730, 25961, 8608, 33604, 6027, 4022, 16490, 3215, 32239, 8608, 33604, 6027, 7562, 8608, 33604, 6027, 7562, 11331, 12610, 8717, 36178, 9673, 2407, 11242, 45367, 4724, 1829, 39648, 4724, 1829, 39648, 10874, 1829, 6055, 3794, 995, 45865, 30767, 3215, 1975, 25513, 27884, 10874, 1829, 6055, 3794, 995, 45865, 30767, 3215, 1975, 25513, 27884, 8320, 1674, 20449, 30767, 3215, 1975, 25513, 27884], "avg_logprob": -0.26587302628017606, "compression_ratio": 1.618320610687023, "no_speech_prob": 0.0, "words": [{"start": 1216.06, "end": 1216.46, "word": "هذا", "probability": 0.716796875}, {"start": 1216.46, "end": 1216.9, "word": " كان", "probability": 0.86328125}, {"start": 1216.9, "end": 1217.86, "word": " سؤال", "probability": 0.9140625}, {"start": 1217.86, "end": 1218.76, "word": " 24", "probability": 0.308349609375}, {"start": 1218.76, "end": 1221.0, "word": " خد", "probability": 0.575927734375}, {"start": 1221.0, "end": 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"temperature": 1.0}, {"id": 85, "seek": 200919, "start": 1980.41, "end": 2009.19, "text": "الـ GN هي بالـ Identity Element في H بده يسوى من؟ بده يسوى الـ H إذا الـ Order تبع الـ GH شو علاقته بالـ N؟ يعني يقسم من؟ يقسم الـ N و قد يسويها لو سواها كمان بيقسموا هذا معناته إن الـ Order للـ GH Divides الـ N", "tokens": [6027, 39184, 46411, 39896, 20666, 39184, 25905, 507, 20900, 8978, 389, 47525, 3224, 7251, 3794, 2407, 7578, 9154, 22807, 47525, 3224, 7251, 3794, 2407, 7578, 2423, 39184, 389, 11933, 15730, 2423, 39184, 16321, 6055, 3555, 3615, 2423, 39184, 40690, 13412, 2407, 11203, 995, 38149, 3224, 20666, 39184, 426, 22807, 37495, 22653, 7251, 4587, 38251, 9154, 22807, 7251, 4587, 38251, 2423, 39184, 426, 4032, 12174, 3215, 7251, 3794, 45865, 11296, 45164, 8608, 14407, 11296, 9122, 2304, 7649, 4724, 1829, 4587, 38251, 14407, 23758, 20449, 8315, 47395, 36145, 2423, 39184, 16321, 24976, 39184, 40690, 9886, 1875, 2423, 39184, 426], "avg_logprob": -0.25781249969589465, "compression_ratio": 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"word": " N", "probability": 0.94921875}], "temperature": 1.0}, {"id": 86, "seek": 201753, "start": 2009.63, "end": 2017.53, "text": "هذا معناته ان ال order لل GH divides من ال N هذه", "tokens": [3224, 15730, 20449, 8315, 47395, 16472, 2423, 1668, 24976, 40690, 41347, 9154, 2423, 426, 29538], "avg_logprob": -0.46704101376235485, "compression_ratio": 1.0294117647058822, "no_speech_prob": 0.0, "words": [{"start": 2009.63, "end": 2010.19, "word": "هذا", "probability": 0.91064453125}, {"start": 2010.19, "end": 2010.93, "word": " معناته", "probability": 0.8582356770833334}, {"start": 2010.93, "end": 2011.25, "word": " ان", "probability": 0.58203125}, {"start": 2011.25, "end": 2011.47, "word": " ال", "probability": 0.62255859375}, {"start": 2011.47, "end": 2011.99, "word": " order", "probability": 0.763671875}, {"start": 2011.99, "end": 2012.45, "word": " لل", "probability": 0.6787109375}, {"start": 2012.45, "end": 2013.27, "word": " GH", "probability": 0.267333984375}, {"start": 2013.27, 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"word": " that", "probability": 0.94091796875}], "temperature": 1.0}, {"id": 89, "seek": 209746, "start": 2070.14, "end": 2097.46, "text": "إن الـ D13 أيزو مورفك للـ Inner Atomorphism لـ D13 أول مرة نشوف سؤال زي هيك يعني ال Inner Atomorphism للي جروب بدي يكون أيزو مورفك للي جروب itself طيب ممتاز", "tokens": [28814, 1863, 2423, 39184, 413, 7668, 5551, 1829, 11622, 2407, 3714, 13063, 5172, 4117, 24976, 39184, 36705, 1711, 32702, 1434, 5296, 39184, 413, 7668, 5551, 12610, 3714, 25720, 8717, 8592, 38688, 8608, 33604, 6027, 30767, 1829, 39896, 4117, 37495, 22653, 2423, 36705, 1711, 32702, 1434, 5296, 20292, 10874, 32887, 3555, 4724, 16254, 7251, 30544, 5551, 1829, 11622, 2407, 3714, 13063, 5172, 4117, 5296, 20292, 10874, 32887, 3555, 2564, 23032, 1829, 3555, 3714, 2304, 2655, 31377], "avg_logprob": -0.25102797111398295, "compression_ratio": 1.5454545454545454, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2070.14, "end": 2070.6, "word": "إن", "probability": 0.61578369140625}, {"start": 2070.6, "end": 2070.9, "word": " الـ", "probability": 0.5662841796875}, {"start": 2070.9, "end": 2072.48, "word": " D13", "probability": 0.767822265625}, {"start": 2072.48, "end": 2074.42, "word": " أيزو", "probability": 0.6226043701171875}, {"start": 2074.42, "end": 2075.18, "word": " مورفك", "probability": 0.8447265625}, {"start": 2075.18, "end": 2076.24, "word": " للـ", "probability": 0.77587890625}, {"start": 2076.24, "end": 2076.64, "word": " Inner", "probability": 0.67138671875}, {"start": 2076.64, "end": 2078.36, "word": " Atomorphism", "probability": 0.8224283854166666}, {"start": 2078.36, "end": 2079.22, "word": " لـ", "probability": 0.801513671875}, {"start": 2079.22, "end": 2080.3, "word": " D13", "probability": 0.825927734375}, {"start": 2080.3, "end": 2085.5, "word": " أول", "probability": 0.91796875}, {"start": 2085.5, "end": 2085.76, "word": " مرة", "probability": 0.988037109375}, {"start": 2085.76, "end": 2086.04, "word": " نشوف", "probability": 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نظرية", "probability": 0.98681640625}, {"start": 2112.47, "end": 2113.05, "word": " فيها", "probability": 0.974609375}, {"start": 2113.05, "end": 2114.21, "word": " isomorphic", "probability": 0.8380533854166666}, {"start": 2114.21, "end": 2114.41, "word": " لل", "probability": 0.91064453125}, {"start": 2114.41, "end": 2114.81, "word": " inner", "probability": 0.7451171875}, {"start": 2114.81, "end": 2116.05, "word": " atomorphism", "probability": 0.5928548177083334}, {"start": 2116.05, "end": 2116.37, "word": " لل", "probability": 0.88427734375}, {"start": 2116.37, "end": 2116.69, "word": " G", "probability": 0.411865234375}, {"start": 2116.69, "end": 2117.75, "word": " حد", "probability": 0.748779296875}, {"start": 2117.75, "end": 2118.01, "word": " ماذا", "probability": 0.5638020833333334}, {"start": 2118.01, "end": 2118.55, "word": " ذكرها", "probability": 0.8590494791666666}, {"start": 2118.55, "end": 2118.89, "word": " يعني", "probability": 0.9140625}, {"start": 2118.89, "end": 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two", "probability": 0.69970703125}, {"start": 2166.78, "end": 2167.46, "word": " elements", "probability": 0.89501953125}, {"start": 2167.46, "end": 2168.06, "word": " إن", "probability": 0.57568359375}, {"start": 2168.06, "end": 2168.38, "word": " كان", "probability": 0.99072265625}, {"start": 2168.38, "end": 2168.68, "word": " ال", "probability": 0.9853515625}, {"start": 2168.68, "end": 2169.0, "word": " N", "probability": 0.379150390625}, {"start": 2169.0, "end": 2169.72, "word": " even", "probability": 0.83837890625}, {"start": 2169.72, "end": 2170.46, "word": " أو", "probability": 0.8095703125}, {"start": 2170.46, "end": 2171.18, "word": " element", "probability": 0.70703125}, {"start": 2171.18, "end": 2171.74, "word": " واحد", "probability": 0.98779296875}, {"start": 2171.74, "end": 2171.92, "word": " اللي", "probability": 0.9658203125}, {"start": 2171.92, "end": 2172.1, "word": " هو", "probability": 0.80908203125}, {"start": 2172.1, "end": 2172.22, "word": " ال", "probability": 0.1614990234375}, {"start": 2172.22, "end": 2172.9, "word": " trivial", "probability": 0.94482421875}, {"start": 2172.9, "end": 2173.58, "word": " إن", "probability": 0.8447265625}, {"start": 2173.58, "end": 2173.86, "word": " كان", "probability": 0.97021484375}, {"start": 2173.86, "end": 2174.2, "word": " ال", "probability": 0.56640625}, {"start": 2174.2, "end": 2174.62, "word": " N", "probability": 0.904296875}, {"start": 2174.62, "end": 2175.14, "word": " is", "probability": 0.69091796875}, {"start": 2175.14, "end": 2175.56, "word": " odd", "probability": 0.90478515625}], "temperature": 1.0}, {"id": 93, "seek": 219663, "start": 2176.03, "end": 2196.63, "text": "يبقى هذا معناه ان ال D13 موديولو ارنود ايزو مورفك لان هذا ال center لمن لل inner atom morphism ل D13 السبب because", "tokens": [1829, 3555, 4587, 7578, 23758, 20449, 8315, 3224, 16472, 2423, 413, 7668, 3714, 2407, 16254, 12610, 2407, 1975, 2288, 1863, 23328, 1975, 1829, 11622, 2407, 3714, 13063, 5172, 4117, 5296, 7649, 23758, 2423, 3056, 5296, 27842, 24976, 7284, 12018, 25778, 1434, 5296, 413, 7668, 21136, 3555, 3555, 570], "avg_logprob": -0.41390305149311923, "compression_ratio": 1.2686567164179106, "no_speech_prob": 0.0, "words": [{"start": 2176.03, "end": 2176.49, "word": "يبقى", "probability": 0.79107666015625}, {"start": 2176.49, "end": 2176.83, "word": " هذا", "probability": 0.91552734375}, {"start": 2176.83, "end": 2177.53, "word": " معناه", "probability": 0.95556640625}, {"start": 2177.53, "end": 2178.41, "word": " ان", "probability": 0.7353515625}, {"start": 2178.41, "end": 2179.49, "word": " ال", "probability": 0.75048828125}, {"start": 2179.49, "end": 2180.75, "word": " D13", "probability": 0.60888671875}, {"start": 2180.75, "end": 2182.35, "word": " موديولو", "probability": 0.619482421875}, {"start": 2182.35, "end": 2183.89, "word": " ارنود", "probability": 0.671142578125}, {"start": 2183.89, "end": 2185.91, "word": " ايزو", "probability": 0.72283935546875}, {"start": 2185.91, "end": 2186.61, "word": " مورفك", "probability": 0.877685546875}, {"start": 2186.61, "end": 2186.97, "word": " لان", "probability": 0.777099609375}, {"start": 2186.97, "end": 2187.37, "word": " هذا", "probability": 0.9072265625}, {"start": 2187.37, "end": 2187.59, "word": " ال", "probability": 0.8671875}, {"start": 2187.59, "end": 2188.07, "word": " center", "probability": 0.189208984375}, {"start": 2188.07, "end": 2188.99, "word": " لمن", "probability": 0.4959716796875}, {"start": 2188.99, "end": 2189.65, "word": " لل", "probability": 0.2171630859375}, {"start": 2189.65, "end": 2190.33, "word": " inner", "probability": 0.69921875}, {"start": 2190.33, "end": 2190.93, "word": " atom", "probability": 0.33203125}, {"start": 2190.93, "end": 2192.01, "word": " morphism", "probability": 0.60565185546875}, {"start": 2192.01, "end": 2192.73, "word": " ل", "probability": 0.828125}, {"start": 2192.73, "end": 2194.09, "word": " D13", "probability": 0.7042236328125}, {"start": 2194.09, "end": 2195.57, "word": " السبب", "probability": 0.9749348958333334}, {"start": 2195.57, "end": 2196.63, "word": " because", "probability": 0.35009765625}], "temperature": 1.0}, {"id": 94, "seek": 221780, "start": 2197.54, "end": 2217.8, "text": "إن الـ Center تبع الـ D13 لا يوجد فيه إلا الـ R node since الـ D13 is odd ممتاز جدا يبقى صار D13 موديل الـ R node", "tokens": [28814, 1863, 2423, 39184, 5169, 6055, 3555, 3615, 2423, 39184, 413, 7668, 20193, 7251, 29245, 3215, 8978, 3224, 11933, 15040, 2423, 39184, 497, 9984, 1670, 2423, 39184, 413, 7668, 307, 7401, 3714, 2304, 2655, 31377, 10874, 28259, 7251, 3555, 4587, 7578, 20328, 9640, 413, 7668, 3714, 2407, 16254, 1211, 2423, 39184, 497, 9984], "avg_logprob": -0.30266204200409075, "compression_ratio": 1.3095238095238095, "no_speech_prob": 0.0, "words": [{"start": 2197.54, "end": 2198.1, "word": "إن", "probability": 0.502166748046875}, {"start": 2198.1, "end": 2198.72, "word": " الـ", "probability": 0.6104736328125}, {"start": 2198.72, "end": 2199.5, "word": " Center", "probability": 0.29443359375}, {"start": 2199.5, "end": 2200.62, "word": " تبع", "probability": 0.82568359375}, {"start": 2200.62, "end": 2200.9, "word": " الـ", "probability": 0.71630859375}, {"start": 2200.9, "end": 2202.16, "word": " D13", "probability": 0.879150390625}, {"start": 2202.16, "end": 2203.06, "word": " لا", "probability": 0.58984375}, {"start": 2203.06, "end": 2203.68, "word": " يوجد", "probability": 0.9365234375}, {"start": 2203.68, "end": 2204.1, "word": " فيه", "probability": 0.92724609375}, {"start": 2204.1, "end": 2204.66, "word": " إلا", "probability": 0.95703125}, {"start": 2204.66, "end": 2204.96, "word": " الـ", "probability": 0.825927734375}, {"start": 2204.96, "end": 2205.38, "word": " R", "probability": 0.5966796875}, {"start": 2205.38, "end": 2205.92, "word": " node", "probability": 0.37109375}, {"start": 2205.92, "end": 2207.2, "word": " since", "probability": 0.259521484375}, {"start": 2207.2, "end": 2208.74, "word": " الـ", "probability": 0.759765625}, {"start": 2208.74, "end": 2209.5, "word": " D13", "probability": 0.736572265625}, {"start": 2209.5, "end": 2210.16, "word": " is", "probability": 0.73974609375}, {"start": 2210.16, "end": 2210.76, "word": " odd", "probability": 0.80810546875}, {"start": 2210.76, "end": 2212.92, "word": " ممتاز", "probability": 0.8785400390625}, {"start": 2212.92, "end": 2213.26, "word": " جدا", "probability": 0.9697265625}, {"start": 2213.26, "end": 2214.18, "word": " يبقى", "probability": 0.9281005859375}, {"start": 2214.18, "end": 2214.62, "word": " صار", "probability": 0.6982421875}, {"start": 2214.62, "end": 2215.64, "word": " D13", "probability": 0.78369140625}, {"start": 2215.64, "end": 2216.36, "word": " موديل", "probability": 0.826904296875}, {"start": 2216.36, "end": 2216.76, "word": " الـ", "probability": 0.77099609375}, {"start": 2216.76, "end": 2217.22, "word": " R", "probability": 0.82666015625}, {"start": 2217.22, "end": 2217.8, "word": " node", "probability": 0.92529296875}], "temperature": 1.0}, {"id": 95, "seek": 223650, "start": 2218.1, "end": 2236.5, "text": "ما لها isomorphic للـ Inner Atomorphism لمين لجى؟ طيب انا الآن لو قدرت اثبت ان جي isomorphic لهذه ال group بصير جي الأصلية isomorphic لمين؟", "tokens": [15042, 5296, 11296, 307, 32702, 299, 24976, 39184, 36705, 1711, 32702, 1434, 32767, 9957, 5296, 7435, 7578, 22807, 23032, 1829, 3555, 1975, 8315, 6024, 48506, 45164, 12174, 3215, 43500, 1975, 12984, 3555, 2655, 16472, 10874, 1829, 307, 32702, 299, 46740, 24192, 2423, 1594, 4724, 9381, 13546, 10874, 1829, 16247, 36520, 10632, 307, 32702, 299, 32767, 9957, 22807], "avg_logprob": -0.2815194063145539, "compression_ratio": 1.4195804195804196, "no_speech_prob": 0.0, "words": [{"start": 2218.1, "end": 2218.46, "word": "ما", "probability": 0.464599609375}, {"start": 2218.46, "end": 2218.86, "word": " لها", "probability": 0.822998046875}, {"start": 2218.86, "end": 2220.16, "word": " isomorphic", "probability": 0.74365234375}, {"start": 2220.16, "end": 2220.64, "word": " للـ", "probability": 0.637939453125}, {"start": 2220.64, "end": 2220.94, "word": " Inner", "probability": 0.251708984375}, {"start": 2220.94, "end": 2222.26, "word": " Atomorphism", "probability": 0.8312174479166666}, {"start": 2222.26, "end": 2223.36, "word": " لمين", "probability": 0.75732421875}, {"start": 2223.36, "end": 2224.32, "word": " لجى؟", "probability": 0.615966796875}, {"start": 2224.32, "end": 2224.78, "word": " طيب", "probability": 0.9186197916666666}, {"start": 2224.78, "end": 2225.18, "word": " انا", "probability": 0.6761474609375}, {"start": 2225.18, "end": 2225.7, "word": " الآن", "probability": 0.673828125}, {"start": 2225.7, "end": 2226.66, "word": " لو", "probability": 0.93017578125}, {"start": 2226.66, "end": 2227.3, "word": " قدرت", "probability": 0.8795572916666666}, {"start": 2227.3, "end": 2227.98, "word": " اثبت", "probability": 0.89892578125}, {"start": 2227.98, "end": 2228.66, "word": " ان", "probability": 0.8662109375}, {"start": 2228.66, "end": 2229.18, "word": " جي", "probability": 0.656982421875}, {"start": 2229.18, "end": 2230.8, "word": " isomorphic", "probability": 0.7552897135416666}, {"start": 2230.8, "end": 2231.58, "word": " لهذه", "probability": 0.952392578125}, {"start": 2231.58, "end": 2231.86, "word": " ال", "probability": 0.82958984375}, {"start": 2231.86, "end": 2232.6, "word": " group", "probability": 0.81640625}, {"start": 2232.6, "end": 2233.78, "word": " بصير", "probability": 0.83837890625}, {"start": 2233.78, "end": 2234.1, "word": " جي", "probability": 0.833740234375}, {"start": 2234.1, "end": 2234.88, "word": " الأصلية", "probability": 0.75537109375}, {"start": 2234.88, "end": 2235.62, "word": " isomorphic", "probability": 0.91357421875}, {"start": 2235.62, "end": 2236.5, "word": " لمين؟", "probability": 0.8938802083333334}], "temperature": 1.0}, {"id": 96, "seek": 225544, "start": 2236.64, "end": 2255.44, "text": "للـ Inner Atomorphism لجيوب التالي بيكون خلصنا يبقى if we show that انه D13 isomorphic ل D13 modulo R node then we have the result بيكون حصلنا على من؟ على النتيجة", "tokens": [1211, 1211, 39184, 36705, 1711, 32702, 1434, 5296, 7435, 1829, 37746, 16712, 6027, 1829, 4724, 1829, 30544, 16490, 1211, 9381, 8315, 7251, 3555, 4587, 7578, 498, 321, 855, 300, 16472, 3224, 413, 7668, 307, 32702, 299, 5296, 413, 7668, 1072, 13455, 497, 9984, 550, 321, 362, 264, 1874, 4724, 1829, 30544, 11331, 36520, 8315, 15844, 9154, 22807, 15844, 28239, 31371, 7435, 3660], "avg_logprob": -0.33159722127611674, "compression_ratio": 1.286549707602339, "no_speech_prob": 0.0, "words": [{"start": 2236.64, "end": 2237.08, "word": "للـ", "probability": 0.6021321614583334}, {"start": 2237.08, "end": 2237.34, "word": " Inner", "probability": 0.5419921875}, {"start": 2237.34, "end": 2238.84, "word": " Atomorphism", "probability": 0.8470052083333334}, {"start": 2238.84, "end": 2239.48, "word": " لجيوب", "probability": 0.66461181640625}, {"start": 2239.48, "end": 2239.9, "word": " التالي", "probability": 0.67919921875}, {"start": 2239.9, "end": 2240.28, "word": " بيكون", "probability": 0.6732584635416666}, {"start": 2240.28, "end": 2241.1, "word": " خلصنا", "probability": 0.8973388671875}, {"start": 2241.1, "end": 2242.14, "word": " يبقى", "probability": 0.80999755859375}, {"start": 2242.14, "end": 2242.4, "word": " if", "probability": 0.435546875}, {"start": 2242.4, "end": 2242.74, "word": " we", "probability": 0.7841796875}, {"start": 2242.74, "end": 2243.18, "word": " show", "probability": 0.96484375}, {"start": 2243.18, "end": 2243.62, "word": " that", "probability": 0.927734375}, {"start": 2243.62, "end": 2244.34, "word": " انه", "probability": 0.4752197265625}, {"start": 2244.34, "end": 2245.36, "word": " D13", "probability": 0.75}, {"start": 2245.36, "end": 2246.76, "word": " isomorphic", "probability": 0.8880208333333334}, {"start": 2246.76, "end": 2247.0, "word": " ل", "probability": 0.84716796875}, {"start": 2247.0, "end": 2248.38, "word": " D13", "probability": 0.607666015625}, {"start": 2248.38, "end": 2249.26, "word": " modulo", "probability": 0.6282958984375}, {"start": 2249.26, "end": 2250.04, "word": " R", "probability": 0.82958984375}, {"start": 2250.04, "end": 2250.64, "word": " node", "probability": 0.2030029296875}, {"start": 2250.64, "end": 2251.24, "word": " then", "probability": 0.65869140625}, {"start": 2251.24, "end": 2251.48, "word": " we", "probability": 0.916015625}, {"start": 2251.48, "end": 2251.72, "word": " have", "probability": 0.9443359375}, {"start": 2251.72, "end": 2251.92, "word": " the", "probability": 0.8896484375}, {"start": 2251.92, "end": 2252.4, "word": " result", "probability": 0.962890625}, {"start": 2252.4, "end": 2253.06, "word": " بيكون", "probability": 0.8681640625}, {"start": 2253.06, "end": 2253.54, "word": " حصلنا", "probability": 0.8898111979166666}, {"start": 2253.54, "end": 2253.72, "word": " على", "probability": 0.8310546875}, {"start": 2253.72, "end": 2254.22, "word": " من؟", "probability": 0.6353759765625}, {"start": 2254.22, "end": 2254.62, "word": " على", "probability": 0.8818359375}, {"start": 2254.62, "end": 2255.44, "word": " النتيجة", "probability": 0.94775390625}], "temperature": 1.0}, {"id": 97, "seek": 227659, "start": 2255.81, "end": 2276.59, "text": "طب كيف بتسويها هذه؟ بسيط اعرف function و اثبت انها one to one and on two و تخدم خاصية ال isomorphism و وصلنا للمطلوب بسهولة كيف؟ ولا في أدفه منها هذا يعني define", "tokens": [9566, 3555, 9122, 33911, 39894, 3794, 45865, 11296, 29538, 22807, 4724, 3794, 1829, 9566, 1975, 3615, 28480, 2445, 4032, 1975, 12984, 3555, 2655, 16472, 11296, 472, 281, 472, 293, 322, 732, 4032, 6055, 9778, 40448, 16490, 33546, 10632, 2423, 307, 32702, 1434, 4032, 4032, 36520, 8315, 5296, 19528, 9566, 1211, 37746, 4724, 3794, 3224, 12610, 3660, 9122, 33911, 22807, 49429, 8978, 5551, 3215, 5172, 3224, 9154, 11296, 23758, 37495, 22653, 6964], "avg_logprob": -0.34440102842119, "compression_ratio": 1.3910614525139664, "no_speech_prob": 0.0, "words": [{"start": 2255.81, "end": 2256.07, "word": "طب", "probability": 0.54095458984375}, {"start": 2256.07, "end": 2256.33, "word": " كيف", "probability": 0.942138671875}, {"start": 2256.33, "end": 2257.13, "word": " بتسويها", "probability": 0.560821533203125}, {"start": 2257.13, "end": 2258.01, "word": " هذه؟", "probability": 0.5400390625}, {"start": 2258.01, "end": 2258.51, "word": " بسيط", "probability": 0.977783203125}, {"start": 2258.51, "end": 2259.23, "word": " اعرف", "probability": 0.6969807942708334}, {"start": 2259.23, "end": 2259.85, "word": " function", "probability": 0.131591796875}, {"start": 2259.85, "end": 2260.09, "word": " و", "probability": 0.7998046875}, {"start": 2260.09, "end": 2260.47, "word": " اثبت", "probability": 0.81640625}, {"start": 2260.47, "end": 2260.75, "word": " انها", "probability": 0.95166015625}, {"start": 2260.75, "end": 2260.95, "word": " one", "probability": 0.861328125}, {"start": 2260.95, "end": 2261.21, "word": " 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"probability": 0.819091796875}, {"start": 2538.72, "end": 2539.92, "word": " ايزو", "probability": 0.695281982421875}, {"start": 2539.92, "end": 2540.6, "word": " مورفك", "probability": 0.898193359375}, {"start": 2540.6, "end": 2540.86, "word": " ل", "probability": 0.5078125}, {"start": 2540.86, "end": 2542.3, "word": " D13", "probability": 0.6136474609375}], "temperature": 1.0}, {"id": 110, "seek": 256346, "start": 2542.79, "end": 2563.47, "text": "موديولو ارنود وهذه ايزو مورفك للانر اتو مورفزم لمن؟ لل D13 وهذا سيعطيك ان D13 ايزو مورفك للانر اتو مورفزم لD13", "tokens": [2304, 2407, 16254, 12610, 2407, 1975, 2288, 1863, 23328, 37037, 24192, 1975, 1829, 11622, 2407, 3714, 13063, 5172, 4117, 24976, 7649, 2288, 1975, 2655, 2407, 3714, 13063, 5172, 11622, 2304, 5296, 27842, 22807, 24976, 413, 7668, 37037, 15730, 8608, 40228, 9566, 1829, 4117, 16472, 413, 7668, 1975, 1829, 11622, 2407, 3714, 13063, 5172, 4117, 24976, 7649, 2288, 1975, 2655, 2407, 3714, 13063, 5172, 11622, 2304, 5296, 35, 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موديولوس سنتر بتابع الجي بده يساوي كدهاش؟ أربعة يبقى فيها أربعة عناصر هذا معناه ان الجي موديولوس سنتر بتابع الجي isomorphic يا إما لزد أربعة يا إما لزد اتنين external product مع زد اتنين", "tokens": [3224, 15730, 20449, 8315, 47395, 16472, 2423, 1668, 5296, 7435, 1829, 3714, 2407, 16254, 12610, 41779, 8608, 29399, 2288, 39894, 16758, 3615, 25724, 1829, 47525, 3224, 7251, 3794, 995, 45865, 9122, 3215, 3224, 33599, 22807, 5551, 25513, 27884, 7251, 3555, 4587, 7578, 8978, 11296, 5551, 25513, 27884, 18871, 33546, 2288, 23758, 20449, 8315, 3224, 16472, 25724, 1829, 3714, 2407, 16254, 12610, 41779, 8608, 29399, 2288, 39894, 16758, 3615, 25724, 1829, 307, 32702, 299, 35186, 11933, 15042, 5296, 11622, 3215, 5551, 25513, 27884, 35186, 11933, 15042, 5296, 11622, 3215, 1975, 2655, 1863, 9957, 8320, 1674, 20449, 30767, 3215, 1975, 2655, 1863, 9957], "avg_logprob": -0.25903799691620993, "compression_ratio": 1.898936170212766, "no_speech_prob": 0.0003523826599121094, "words": [{"start": 2704.6, 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