diff --git "a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/UV0i1PfJFLc_raw.json" "b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/UV0i1PfJFLc_raw.json"
new file mode 100644--- /dev/null
+++ "b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/UV0i1PfJFLc_raw.json"
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4639, "start": 22.61, "end": 46.39, "text": "المرة اللى فاتت بدأنا في خواص ال isomorphism وقسمنا هذه الخواص الى جزءين الجزء الاول اخدناه المرة الماضية واليوم هناخد الجزء الثاني الجزء الاول من خواص ال isomorphism كان يتحدث عن تأثير ال isomorphism على عناصر ال group واخدنا على ذلك سبع نقاط", "tokens": [6027, 29973, 3660, 13672, 7578, 6156, 9307, 2655, 47525, 10721, 8315, 8978, 16490, 14407, 9381, 2423, 307, 32702, 1434, 4032, 4587, 38251, 8315, 29538, 33962, 14407, 9381, 2423, 7578, 10874, 11622, 38207, 9957, 25724, 11622, 38207, 42963, 12610, 1975, 9778, 3215, 8315, 3224, 9673, 25720, 9673, 46958, 10632, 4032, 6027, 1829, 20498, 8032, 1863, 47283, 3215, 25724, 11622, 38207, 6024, 104, 7649, 1829, 25724, 11622, 38207, 42963, 12610, 9154, 16490, 14407, 9381, 2423, 307, 32702, 1434, 25961, 7251, 2655, 24401, 12984, 18871, 6055, 10721, 12984, 13546, 2423, 307, 32702, 1434, 15844, 18871, 33546, 2288, 2423, 1594, 4032, 47283, 3215, 8315, 15844, 29910, 23275, 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مين؟ على الـ Phi of A في من؟ في الـ Phi of B", "tokens": [6027, 39184, 25905, 507, 11166, 882, 2423, 39184, 25905, 507, 11166, 882, 5296, 15042, 6055, 10721, 49115, 15844, 2423, 39184, 20900, 39894, 3615, 9566, 1829, 8315, 8717, 36178, 2423, 39184, 20900, 13672, 1829, 31439, 316, 363, 37279, 6027, 7578, 8717, 8592, 38688, 6055, 10721, 12984, 13546, 2423, 39184, 41435, 682, 4308, 15844, 3714, 9957, 22807, 15844, 2423, 39184, 41435, 295, 316, 8978, 9154, 22807, 8978, 2423, 39184, 41435, 295, 363], "avg_logprob": -0.2563820338585007, "compression_ratio": 1.639751552795031, "no_speech_prob": 0.0, "words": [{"start": 318.8, "end": 319.22, "word": "الـ", "probability": 0.4747314453125}, {"start": 319.22, "end": 320.02, "word": " Identity", "probability": 0.771240234375}, {"start": 320.02, "end": 320.54, "word": " Function", "probability": 0.671875}, {"start": 320.54, "end": 320.66, "word": " الـ", "probability": 0.51055908203125}, {"start": 320.66, "end": 321.22, "word": " Identity", 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الأولين", "probability": 0.8782552083333334}, {"start": 357.42, "end": 357.54, "word": " يا", "probability": 0.86865234375}, {"start": 357.54, "end": 357.94, "word": " شباب", "probability": 0.9921875}, {"start": 357.94, "end": 359.12, "word": " تأثير", "probability": 0.7222900390625}, {"start": 359.12, "end": 360.32, "word": " الفاي", "probability": 0.914306640625}], "temperature": 1.0}, {"id": 17, "seek": 38143, "start": 360.51, "end": 381.43, "text": "على الفاي انفرس عشان اه فايفاي انفرس عشان اه فايفاي انفرس عشان اه فايفاي انفرس عشان اه فايفاي انفرس عشان اه فايفاي انفرس عشان اه فايفاي انفرس عشان اه", "tokens": [3615, 23942, 27188, 47302, 16472, 5172, 2288, 3794, 6225, 8592, 7649, 1975, 3224, 6156, 995, 33911, 47302, 16472, 5172, 2288, 3794, 6225, 8592, 7649, 1975, 3224, 6156, 995, 33911, 47302, 16472, 5172, 2288, 3794, 6225, 8592, 7649, 1975, 3224, 6156, 995, 33911, 47302, 16472, 5172, 2288, 3794, 6225, 8592, 7649, 1975, 3224, 6156, 995, 33911, 47302, 16472, 5172, 2288, 3794, 6225, 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inverse of a في في لمين لفي inverse of b", "tokens": [1829, 3555, 4587, 7578, 44945, 16606, 47356, 23758, 2423, 28820, 10943, 7251, 3794, 995, 45865, 1975, 8315, 18871, 16254, 8978, 307, 364, 307, 32702, 1434, 20449, 8315, 47395, 8978, 5296, 15042, 6055, 10721, 49115, 15844, 11331, 9381, 2288, 48812, 25513, 732, 4959, 7251, 3794, 995, 45865, 6055, 10721, 12984, 13546, 27188, 1829, 15844, 16247, 12610, 7578, 3714, 11242, 32887, 3555, 8978, 6055, 10721, 12984, 13546, 27188, 1829, 15844, 6024, 104, 7649, 10632, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 37495, 9566, 1829, 8315, 8978, 5296, 41185, 17340, 295, 257, 8978, 8978, 32767, 9957, 5296, 41185, 17340, 295, 272], "avg_logprob": -0.17140151454944802, "compression_ratio": 1.8106796116504855, "no_speech_prob": 0.0, "words": [{"start": 383.42, "end": 383.96, "word": "يبقى", "probability": 0.8111572265625}, {"start": 383.96, "end": 384.4, "word": " بناء", "probability": 0.8828125}, {"start": 384.4, "end": 385.02, "word": " عليه", 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0.862060546875}, {"start": 396.74, "end": 396.86, "word": " في", "probability": 0.88134765625}, {"start": 396.86, "end": 397.32, "word": " تأثير", "probability": 0.981201171875}, {"start": 397.32, "end": 397.9, "word": " الفي", "probability": 0.939208984375}, {"start": 397.9, "end": 398.7, "word": " على", "probability": 0.91748046875}, {"start": 398.7, "end": 399.48, "word": " الثانية", "probability": 0.968994140625}, {"start": 399.48, "end": 400.38, "word": " يبقى", "probability": 0.9796142578125}, {"start": 400.38, "end": 400.7, "word": " هذا", "probability": 0.94091796875}, {"start": 400.7, "end": 401.12, "word": " بده", "probability": 0.5467529296875}, {"start": 401.12, "end": 401.88, "word": " يعطينا", "probability": 0.932861328125}, {"start": 401.88, "end": 402.72, "word": " في", "probability": 0.8974609375}, {"start": 402.72, "end": 403.64, "word": " لفي", "probability": 0.890625}, {"start": 403.64, "end": 404.54, "word": " inverse", "probability": 0.916015625}, {"start": 404.54, "end": 405.12, "word": " of", "probability": 0.96435546875}, {"start": 405.12, "end": 405.56, "word": " a", "probability": 0.75146484375}, {"start": 405.56, "end": 406.56, "word": " في", "probability": 0.81689453125}, {"start": 406.56, "end": 407.26, "word": " في", "probability": 0.90087890625}, {"start": 407.26, "end": 408.44, "word": " لمين", "probability": 0.82568359375}, {"start": 408.44, "end": 409.24, "word": " لفي", "probability": 0.94091796875}, {"start": 409.24, "end": 410.26, "word": " inverse", "probability": 0.90771484375}, {"start": 410.26, "end": 411.22, "word": " of", "probability": 0.98291015625}, {"start": 411.22, "end": 411.56, "word": " b", "probability": 0.88818359375}], "temperature": 1.0}, {"id": 19, "seek": 43494, "start": 412.24, "end": 434.94, "text": "الكلام هذا ليش؟ نظرا لإن الـ Phi is an isomorphism نظرا لإن Phi is isomorphism قدرت أكتبها بالشكل اللي عندنا هذا فبهذا التعريف ال composition of function يبقى بيظل Phi Phi inverse of A وهنا من", "tokens": [6027, 28820, 10943, 23758, 32239, 8592, 22807, 8717, 19913, 23557, 5296, 28814, 1863, 2423, 39184, 41435, 307, 364, 307, 32702, 1434, 8717, 19913, 23557, 5296, 28814, 1863, 41435, 307, 307, 32702, 1434, 12174, 3215, 43500, 5551, 4117, 2655, 3555, 11296, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 6156, 3555, 3224, 15730, 16712, 3615, 16572, 5172, 2423, 12686, 295, 2445, 7251, 3555, 4587, 7578, 4724, 1829, 19913, 1211, 41435, 41435, 17340, 295, 316, 37037, 8315, 9154], "avg_logprob": -0.2568993413603151, "compression_ratio": 1.5027027027027027, "no_speech_prob": 0.0, "words": [{"start": 412.24, "end": 412.92, "word": "الكلام", "probability": 0.8650716145833334}, {"start": 412.92, "end": 413.28, "word": " هذا", "probability": 0.748046875}, {"start": 413.28, "end": 413.9, "word": " ليش؟", "probability": 0.74267578125}, {"start": 413.9, "end": 414.74, "word": " نظرا", "probability": 0.890625}, {"start": 414.74, "end": 415.56, "word": " لإن", "probability": 0.7100423177083334}, {"start": 415.56, "end": 416.38, "word": " الـ", "probability": 0.5352783203125}, {"start": 416.38, "end": 416.42, "word": " Phi", "probability": 0.203125}, {"start": 416.42, "end": 417.38, "word": " is", "probability": 0.7001953125}, {"start": 417.38, "end": 418.28, "word": " an", "probability": 0.79736328125}, {"start": 418.28, "end": 420.02, "word": " isomorphism", "probability": 0.9326171875}, {"start": 420.02, "end": 421.22, "word": " نظرا", "probability": 0.9322916666666666}, {"start": 421.22, "end": 421.58, "word": " لإن", "probability": 0.9425455729166666}, {"start": 421.58, "end": 421.92, "word": " Phi", "probability": 0.80712890625}, {"start": 421.92, "end": 422.16, "word": " is", "probability": 0.52197265625}, {"start": 422.16, "end": 422.86, "word": " isomorphism", "probability": 0.8225911458333334}, {"start": 422.86, "end": 423.3, "word": " قدرت", "probability": 0.8203125}, {"start": 423.3, "end": 423.86, "word": " أكتبها", "probability": 0.92109375}, {"start": 423.86, "end": 424.42, "word": " بالشكل", "probability": 0.9484049479166666}, {"start": 424.42, "end": 424.6, "word": " اللي", "probability": 0.93701171875}, {"start": 424.6, "end": 425.18, "word": " عندنا", "probability": 0.9345703125}, {"start": 425.18, "end": 425.64, "word": " هذا", "probability": 0.92822265625}, {"start": 425.64, "end": 426.96, "word": " فبهذا", "probability": 0.6060791015625}, {"start": 426.96, "end": 427.44, "word": " التعريف", "probability": 0.9354248046875}, {"start": 427.44, "end": 427.6, "word": " ال", "probability": 0.4755859375}, {"start": 427.6, "end": 428.22, "word": " composition", "probability": 0.84033203125}, {"start": 428.22, "end": 428.76, "word": " of", "probability": 0.97998046875}, {"start": 428.76, "end": 429.4, "word": " function", "probability": 0.87109375}, {"start": 429.4, "end": 429.8, "word": " يبقى", "probability": 0.969482421875}, {"start": 429.8, "end": 430.42, "word": " بيظل", "probability": 0.658935546875}, {"start": 430.42, "end": 431.1, "word": " Phi", "probability": 0.87939453125}, {"start": 431.1, "end": 431.82, "word": " Phi", "probability": 0.60302734375}, {"start": 431.82, "end": 432.62, "word": " inverse", "probability": 0.87060546875}, {"start": 432.62, "end": 433.14, "word": " of", "probability": 0.97119140625}, {"start": 433.14, "end": 433.7, "word": " A", "probability": 0.609375}, {"start": 433.7, "end": 434.74, "word": " وهنا", "probability": 0.7010498046875}, {"start": 434.74, "end": 434.94, "word": " من", "probability": 0.6240234375}], "temperature": 1.0}, {"id": 20, "seek": 46048, "start": 435.42, "end": 460.48, "text": "وهنا كذلك في لفي انفرس of بي بالشكل اللي عندنا هذا الكلام يساوي طبعا في في انفرس هتطلع ال identity function يبقى هنا مش هيضل عندي إلا ال element a و هنا في في انفرس هيعطينا ال identity function تأثيره على بي مش هيعطينا إلا من إلا بي", "tokens": [2407, 3224, 8315, 9122, 8848, 23275, 8978, 5296, 41185, 16472, 5172, 2288, 3794, 295, 4724, 1829, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 2423, 28820, 10943, 7251, 3794, 995, 45865, 23032, 3555, 3615, 995, 8978, 8978, 16472, 5172, 2288, 3794, 8032, 2655, 9566, 1211, 3615, 2423, 6575, 2445, 7251, 3555, 4587, 7578, 34105, 37893, 39896, 11242, 1211, 18871, 16254, 11933, 15040, 2423, 4478, 257, 4032, 34105, 8978, 8978, 16472, 5172, 2288, 3794, 39896, 3615, 9566, 1829, 8315, 2423, 6575, 2445, 6055, 10721, 12984, 13546, 3224, 15844, 4724, 1829, 37893, 39896, 3615, 9566, 1829, 8315, 11933, 15040, 9154, 11933, 15040, 4724, 1829], "avg_logprob": -0.20995145486396494, "compression_ratio": 1.8656716417910448, "no_speech_prob": 0.0, "words": [{"start": 435.42, "end": 436.06, "word": "وهنا", "probability": 0.6144205729166666}, {"start": 436.06, "end": 436.84, "word": " كذلك", "probability": 0.9015299479166666}, {"start": 436.84, "end": 437.4, "word": " في", "probability": 0.223876953125}, {"start": 437.4, "end": 438.62, "word": " لفي", "probability": 0.55224609375}, {"start": 438.62, "end": 439.74, "word": " انفرس", "probability": 0.7103271484375}, {"start": 439.74, "end": 440.38, "word": " of", "probability": 0.693359375}, {"start": 440.38, "end": 441.28, "word": " بي", "probability": 0.662841796875}, {"start": 441.28, "end": 442.1, "word": " بالشكل", "probability": 0.7664388020833334}, {"start": 442.1, "end": 442.24, "word": " اللي", "probability": 0.929931640625}, {"start": 442.24, "end": 442.58, "word": " عندنا", "probability": 0.737060546875}, {"start": 442.58, "end": 443.56, "word": " هذا", "probability": 0.6064453125}, {"start": 443.56, "end": 444.22, "word": " الكلام", "probability": 0.9461263020833334}, {"start": 444.22, "end": 444.76, "word": " يساوي", "probability": 0.77392578125}, {"start": 444.76, "end": 445.82, "word": " طبعا", "probability": 0.9549560546875}, {"start": 445.82, "end": 446.1, "word": " في", "probability": 0.489501953125}, {"start": 446.1, "end": 446.38, "word": " في", "probability": 0.96142578125}, {"start": 446.38, "end": 446.86, "word": " انفرس", "probability": 0.976806640625}, {"start": 446.86, "end": 447.42, "word": " هتطلع", "probability": 0.936328125}, {"start": 447.42, "end": 447.56, "word": " ال", "probability": 0.95654296875}, {"start": 447.56, "end": 448.1, "word": " identity", "probability": 0.78369140625}, {"start": 448.1, "end": 448.96, "word": " function", "probability": 0.95703125}, {"start": 448.96, "end": 449.8, "word": " يبقى", "probability": 0.9512939453125}, {"start": 449.8, "end": 450.06, "word": " هنا", "probability": 0.9306640625}, {"start": 450.06, "end": 450.26, "word": " مش", "probability": 0.9248046875}, {"start": 450.26, "end": 450.68, "word": " هيضل", "probability": 0.7194010416666666}, {"start": 450.68, "end": 451.0, "word": " عندي", "probability": 0.852783203125}, {"start": 451.0, "end": 451.24, "word": " إلا", "probability": 0.68408203125}, {"start": 451.24, "end": 451.44, "word": " ال", "probability": 0.96826171875}, {"start": 451.44, "end": 451.96, "word": " element", "probability": 0.9443359375}, {"start": 451.96, "end": 452.4, "word": " a", "probability": 0.7236328125}, {"start": 452.4, "end": 452.96, "word": " و", "probability": 0.58349609375}, {"start": 452.96, "end": 453.18, "word": " هنا", "probability": 0.521484375}, {"start": 453.18, "end": 453.48, "word": " في", "probability": 0.90771484375}, {"start": 453.48, "end": 453.76, "word": " في", "probability": 0.984375}, {"start": 453.76, "end": 454.2, "word": " انفرس", "probability": 0.989013671875}, {"start": 454.2, "end": 454.72, "word": " هيعطينا", "probability": 0.87294921875}, {"start": 454.72, "end": 454.86, "word": " ال", "probability": 0.97705078125}, {"start": 454.86, "end": 455.34, "word": " identity", "probability": 0.91796875}, {"start": 455.34, "end": 456.14, "word": " function", "probability": 0.96240234375}, {"start": 456.14, "end": 457.12, "word": " تأثيره", "probability": 0.9537109375}, {"start": 457.12, "end": 457.42, "word": " على", "probability": 0.890625}, {"start": 457.42, "end": 457.7, "word": " بي", "probability": 0.8828125}, {"start": 457.7, "end": 457.9, "word": " مش", "probability": 0.93603515625}, {"start": 457.9, "end": 458.48, "word": " هيعطينا", "probability": 0.8974609375}, {"start": 458.48, "end": 458.76, "word": " إلا", "probability": 0.970947265625}, {"start": 458.76, "end": 459.16, "word": " من", "probability": 0.34375}, {"start": 459.16, "end": 460.12, "word": " إلا", "probability": 0.820556640625}, {"start": 460.12, "end": 460.48, "word": " بي", "probability": 0.982421875}], "temperature": 1.0}, {"id": 21, "seek": 48627, "start": 460.99, "end": 486.27, "text": "أطلع للنقطة الأولى هذه star والنقطة هذه اللي بدي أسميها double star هذه بتساوي AB وهذه بتساوي AB يبقى الطرف الشمال بتساوي من؟ الطرف الشمال اللي عندنا هذا يبقى باجي بقوله هنا from star and double star we have", "tokens": [10721, 9566, 1211, 3615, 24976, 1863, 47432, 3660, 16247, 12610, 7578, 29538, 3543, 16070, 1863, 47432, 3660, 29538, 13672, 1829, 4724, 16254, 5551, 38251, 1829, 11296, 3834, 3543, 29538, 39894, 3794, 995, 45865, 13838, 37037, 24192, 39894, 3794, 995, 45865, 13838, 7251, 3555, 4587, 7578, 41950, 28480, 25124, 2304, 6027, 39894, 3794, 995, 45865, 9154, 22807, 41950, 28480, 25124, 2304, 6027, 13672, 1829, 43242, 8315, 23758, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 34105, 490, 3543, 293, 3834, 3543, 321, 362], "avg_logprob": -0.2974264846128576, "compression_ratio": 1.8186813186813187, "no_speech_prob": 0.0, "words": [{"start": 460.99, "end": 461.77, "word": "أطلع", "probability": 0.5858154296875}, {"start": 461.77, "end": 462.67, "word": " للنقطة", "probability": 0.79193115234375}, {"start": 462.67, "end": 463.25, "word": " الأولى", "probability": 0.9840494791666666}, {"start": 463.25, "end": 463.61, "word": " هذه", "probability": 0.3896484375}, {"start": 463.61, "end": 464.29, "word": " star", "probability": 0.2462158203125}, {"start": 464.29, "end": 465.47, "word": " والنقطة", "probability": 0.833251953125}, {"start": 465.47, "end": 465.75, "word": " هذه", "probability": 0.66845703125}, {"start": 465.75, "end": 465.89, "word": " اللي", "probability": 0.704345703125}, {"start": 465.89, "end": 466.05, "word": " بدي", "probability": 0.572998046875}, {"start": 466.05, "end": 466.89, "word": " أسميها", "probability": 0.8690185546875}, {"start": 466.89, "end": 467.43, "word": " double", "probability": 0.56689453125}, {"start": 467.43, "end": 468.27, "word": " star", "probability": 0.935546875}, {"start": 468.27, "end": 470.23, "word": " هذه", "probability": 0.80517578125}, {"start": 470.23, "end": 470.87, "word": " بتساوي", "probability": 0.7667236328125}, {"start": 470.87, "end": 471.31, "word": " AB", "probability": 0.1988525390625}, {"start": 471.31, "end": 471.75, "word": " وهذه", "probability": 0.74560546875}, {"start": 471.75, "end": 472.31, "word": " بتساوي", "probability": 0.923828125}, {"start": 472.31, "end": 472.75, "word": " AB", "probability": 0.83740234375}, {"start": 472.75, "end": 473.21, "word": " يبقى", "probability": 0.69683837890625}, {"start": 473.21, "end": 473.65, "word": " الطرف", "probability": 0.89990234375}, {"start": 473.65, "end": 474.25, "word": " الشمال", "probability": 0.978515625}, {"start": 474.25, "end": 474.87, "word": " بتساوي", "probability": 0.748809814453125}, {"start": 474.87, "end": 475.49, "word": " من؟", "probability": 0.4107666015625}, {"start": 475.49, "end": 476.03, "word": " الطرف", "probability": 0.9619140625}, {"start": 476.03, "end": 476.61, "word": " الشمال", "probability": 0.98876953125}, {"start": 476.61, "end": 476.79, "word": " اللي", "probability": 0.944580078125}, {"start": 476.79, "end": 477.23, "word": " عندنا", "probability": 0.984375}, {"start": 477.23, "end": 477.55, "word": " هذا", "probability": 0.95361328125}, {"start": 477.55, "end": 478.31, "word": " يبقى", "probability": 0.945068359375}, {"start": 478.31, "end": 478.71, "word": " باجي", "probability": 0.8427734375}, {"start": 478.71, "end": 479.25, "word": " بقوله", "probability": 0.82373046875}, {"start": 479.25, "end": 479.57, "word": " هنا", "probability": 0.9794921875}, {"start": 479.57, "end": 480.13, "word": " from", "probability": 0.87158203125}, {"start": 480.13, "end": 482.47, "word": " star", "probability": 0.430908203125}, {"start": 482.47, "end": 483.41, "word": " and", "probability": 0.9501953125}, {"start": 483.41, "end": 484.61, "word": " double", "probability": 0.919921875}, {"start": 484.61, "end": 485.63, "word": " star", "probability": 0.9677734375}, {"start": 485.63, "end": 485.87, "word": " we", "probability": 0.70263671875}, {"start": 485.87, "end": 486.27, "word": " have", "probability": 0.96923828125}], "temperature": 1.0}, {"id": 22, "seek": 51014, "start": 487.48, "end": 510.14, "text": "هنحصل على ما يأتي انه فاي لفاي inverse of a b بدر ساوي فا بدر ساوي مين بدر ساوي فاي لفاي inverse of a في فاي inverse of b بالشكل اللي عندها", "tokens": [3224, 1863, 5016, 36520, 15844, 19446, 7251, 10721, 31371, 16472, 3224, 6156, 47302, 5296, 5172, 47302, 17340, 295, 257, 272, 47525, 2288, 8608, 995, 45865, 6156, 995, 47525, 2288, 8608, 995, 45865, 3714, 9957, 47525, 2288, 8608, 995, 45865, 6156, 47302, 5296, 5172, 47302, 17340, 295, 257, 8978, 6156, 47302, 17340, 295, 272, 20666, 8592, 28820, 13672, 1829, 43242, 11296], "avg_logprob": -0.2802254137445669, "compression_ratio": 1.7142857142857142, "no_speech_prob": 0.0, "words": [{"start": 487.48, "end": 488.28, "word": "هنحصل", "probability": 0.7686767578125}, {"start": 488.28, "end": 488.62, "word": " على", "probability": 0.833984375}, {"start": 488.62, "end": 488.88, "word": " ما", "probability": 0.87255859375}, {"start": 488.88, "end": 489.46, "word": " يأتي", "probability": 0.8756510416666666}, {"start": 489.46, "end": 490.74, "word": " انه", "probability": 0.553955078125}, {"start": 490.74, "end": 491.34, "word": " فاي", "probability": 0.37384033203125}, {"start": 491.34, "end": 492.72, "word": " لفاي", "probability": 0.8209635416666666}, {"start": 492.72, "end": 493.58, "word": " inverse", "probability": 0.78076171875}, {"start": 493.58, "end": 494.52, "word": " of", "probability": 0.95654296875}, {"start": 494.52, "end": 495.3, "word": " a", "probability": 0.66943359375}, {"start": 495.3, "end": 496.06, "word": " b", "probability": 0.497802734375}, {"start": 496.06, "end": 497.24, "word": " بدر", "probability": 0.4688720703125}, {"start": 497.24, "end": 497.94, "word": " ساوي", "probability": 0.8294270833333334}, {"start": 497.94, "end": 499.22, "word": " فا", "probability": 0.74609375}, {"start": 499.22, "end": 499.74, "word": " بدر", "probability": 0.859619140625}, {"start": 499.74, "end": 500.1, "word": " ساوي", "probability": 0.9508463541666666}, {"start": 500.1, "end": 500.5, "word": " مين", "probability": 0.605224609375}, {"start": 500.5, "end": 501.38, "word": " بدر", "probability": 0.782958984375}, {"start": 501.38, "end": 501.8, "word": " ساوي", "probability": 0.9596354166666666}, {"start": 501.8, "end": 502.7, "word": " فاي", "probability": 0.587646484375}, {"start": 502.7, "end": 503.8, "word": " لفاي", "probability": 0.8821614583333334}, {"start": 503.8, "end": 504.56, "word": " inverse", "probability": 0.93408203125}, {"start": 504.56, "end": 505.06, "word": " of", "probability": 0.98388671875}, {"start": 505.06, "end": 505.64, "word": " a", "probability": 0.9833984375}, {"start": 505.64, "end": 506.16, "word": " في", "probability": 0.68701171875}, {"start": 506.16, "end": 506.68, "word": " فاي", "probability": 0.6153564453125}, {"start": 506.68, "end": 507.5, "word": " inverse", "probability": 0.904296875}, {"start": 507.5, "end": 508.18, "word": " of", "probability": 0.98681640625}, {"start": 508.18, "end": 508.58, "word": " b", "probability": 0.98779296875}, {"start": 508.58, "end": 509.54, "word": " بالشكل", "probability": 0.865234375}, {"start": 509.54, "end": 509.68, "word": " اللي", "probability": 0.937744140625}, {"start": 509.68, "end": 510.14, "word": " عندها", "probability": 0.8935546875}], "temperature": 1.0}, {"id": 23, "seek": 53365, "start": 512.17, "end": 533.65, "text": "طب الآن أنا طلعت قيمتين متساويتين السؤال هو فاي هدي one to one ولا لأ؟ مظبوط لأنها isomorphism يبقى فاي one to one وعندي صورتين متساويتين يبقى الأصل ماله متساوي يبقى هذا بده يعطيني مين؟", "tokens": [9566, 3555, 6024, 48506, 41850, 23032, 1211, 34268, 12174, 32640, 2655, 9957, 44650, 3794, 995, 2407, 36081, 9957, 21136, 33604, 6027, 31439, 6156, 47302, 8032, 16254, 472, 281, 472, 49429, 5296, 10721, 22807, 3714, 19913, 3555, 2407, 9566, 5296, 33456, 11296, 307, 32702, 1434, 7251, 3555, 4587, 7578, 6156, 47302, 472, 281, 472, 4032, 3615, 1863, 16254, 20328, 13063, 2655, 9957, 44650, 3794, 995, 2407, 36081, 9957, 7251, 3555, 4587, 7578, 16247, 36520, 3714, 6027, 3224, 44650, 3794, 995, 45865, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 7251, 3615, 9566, 1829, 22653, 3714, 9957, 22807], "avg_logprob": -0.2236328087747097, "compression_ratio": 1.7657142857142858, "no_speech_prob": 0.0, "words": [{"start": 512.17, "end": 512.49, "word": 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الشمال بدي اسوي أصل الطرف اليمين اللي هو في انفرس of a في في انفرس ماله of b هذا الكلام ليش؟ because في is one to one", "tokens": [3555, 16254, 37495, 9566, 1829, 22653, 16472, 3224, 8978, 16472, 5172, 2288, 3794, 295, 257, 11, 65, 13672, 1829, 31439, 5551, 36520, 41950, 28480, 25124, 2304, 6027, 4724, 16254, 24525, 45865, 5551, 36520, 41950, 28480, 2423, 32640, 9957, 13672, 1829, 31439, 8978, 16472, 5172, 2288, 3794, 295, 257, 8978, 8978, 16472, 5172, 2288, 3794, 3714, 6027, 3224, 295, 272, 23758, 2423, 28820, 10943, 32239, 8592, 22807, 570, 8978, 307, 472, 281, 472], "avg_logprob": -0.2870291095890411, "compression_ratio": 1.78, "no_speech_prob": 0.0, "words": [{"start": 533.86, "end": 534.32, "word": "بدي", "probability": 0.231719970703125}, {"start": 534.32, "end": 535.02, "word": " يعطيني", "probability": 0.7200927734375}, {"start": 535.02, "end": 535.48, "word": " انه", "probability": 0.430419921875}, {"start": 535.48, "end": 535.82, "word": " في", "probability": 0.21630859375}, 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وهكذا في inverse is an isomorphism وبالتالي أثبتنا النقطة الأولى", "tokens": [4587, 11242, 1829, 8315, 5551, 12984, 3555, 2655, 8315, 34105, 5551, 12984, 3555, 2655, 8315, 14739, 2423, 17340, 23758, 5551, 9381, 49628, 6225, 3555, 9640, 3660, 18871, 307, 32702, 1434, 7251, 3555, 4587, 7578, 4724, 32887, 5016, 4724, 39648, 3224, 8807, 37037, 4117, 15730, 8978, 17340, 307, 364, 307, 32702, 1434, 46599, 6027, 2655, 6027, 1829, 5551, 12984, 3555, 2655, 8315, 28239, 47432, 3660, 16247, 12610, 7578], "avg_logprob": -0.17267923341954455, "compression_ratio": 1.5592105263157894, "no_speech_prob": 0.0, "words": [{"start": 556.3, "end": 556.72, "word": "قضينا", "probability": 0.62017822265625}, {"start": 556.72, "end": 557.26, "word": " أثبتنا", "probability": 0.871630859375}, {"start": 557.26, "end": 557.58, "word": " هنا", "probability": 0.80126953125}, {"start": 557.58, "end": 559.0, "word": " أثبتنا", "probability": 0.92822265625}, {"start": 559.0, "end": 559.3, "word": " أن", "probability": 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965.26, "word": " bar", "probability": 0.93359375}, {"start": 965.26, "end": 966.0, "word": " is", "probability": 0.9638671875}, {"start": 966.0, "end": 967.42, "word": " cyclic", "probability": 0.806396484375}, {"start": 967.42, "end": 969.98, "word": " وهو", "probability": 0.7236328125}, {"start": 969.98, "end": 970.5, "word": " المطلوب", "probability": 0.86962890625}], "temperature": 1.0}, {"id": 42, "seek": 99463, "start": 970.95, "end": 994.63, "text": "يبقى اعتمادنا في برهان هذه النظرية على نقطتين من النظرية السابقة وهي ال order لإيه بده يسوى ال order لـPhi of V النقطة الأولى النقطة الثانية ال order لـG هو ال order لـG bar كل هذا تحت تأثير أن ال Phi اللي عندها عبارة عن isomorphism", "tokens": [1829, 3555, 4587, 7578, 1975, 34268, 15042, 3215, 8315, 8978, 4724, 2288, 3224, 7649, 29538, 28239, 19913, 2288, 10632, 15844, 8717, 47432, 2655, 9957, 9154, 28239, 19913, 2288, 10632, 21136, 16758, 28671, 37037, 1829, 2423, 1668, 5296, 28814, 1829, 3224, 47525, 3224, 7251, 3794, 2407, 7578, 2423, 1668, 5296, 39184, 47, 4954, 295, 691, 28239, 47432, 3660, 16247, 12610, 7578, 28239, 47432, 3660, 6024, 104, 7649, 10632, 2423, 1668, 5296, 39184, 38, 31439, 2423, 1668, 5296, 39184, 38, 2159, 28242, 23758, 6055, 33753, 6055, 10721, 12984, 13546, 14739, 2423, 41435, 13672, 1829, 43242, 11296, 6225, 3555, 9640, 3660, 18871, 307, 32702, 1434], "avg_logprob": -0.21966019214935673, "compression_ratio": 1.755868544600939, "no_speech_prob": 0.0, "words": [{"start": 970.95, "end": 971.41, "word": "يبقى", "probability": 0.7586669921875}, {"start": 971.41, "end": 972.07, "word": " اعتمادنا", "probability": 0.85078125}, {"start": 972.07, "end": 972.27, "word": " في", "probability": 0.84765625}, {"start": 972.27, "end": 972.89, "word": " برهان", "probability": 0.933837890625}, {"start": 972.89, "end": 973.39, "word": " هذه", "probability": 0.9609375}, {"start": 973.39, "end": 974.11, "word": " النظرية", "probability": 0.97509765625}, {"start": 974.11, "end": 974.49, "word": " على", "probability": 0.85498046875}, {"start": 974.49, "end": 975.77, "word": " نقطتين", "probability": 0.962646484375}, {"start": 975.77, "end": 976.61, "word": " من", "probability": 0.98046875}, {"start": 976.61, "end": 977.69, "word": " النظرية", "probability": 0.9647216796875}, {"start": 977.69, "end": 978.59, "word": " السابقة", "probability": 0.990234375}, {"start": 978.59, "end": 979.33, "word": " وهي", "probability": 0.74267578125}, {"start": 979.33, "end": 979.49, "word": " ال", "probability": 0.405517578125}, {"start": 979.49, "end": 979.95, "word": " order", "probability": 0.81201171875}, {"start": 979.95, "end": 980.37, "word": " لإيه", "probability": 0.7000732421875}, {"start": 980.37, "end": 980.69, "word": " بده", "probability": 0.36090087890625}, {"start": 980.69, "end": 980.93, "word": " يسوى", "probability": 0.74456787109375}, {"start": 980.93, "end": 981.07, "word": " ال", "probability": 0.71630859375}, {"start": 981.07, "end": 981.43, "word": " order", "probability": 0.95263671875}, {"start": 981.43, "end": 982.03, "word": " لـPhi", "probability": 0.496795654296875}, {"start": 982.03, "end": 982.27, "word": " of", "probability": 0.7685546875}, {"start": 982.27, "end": 982.45, "word": " V", "probability": 0.77587890625}, {"start": 982.45, "end": 982.97, "word": " النقطة", "probability": 0.9091796875}, {"start": 982.97, "end": 983.35, "word": " الأولى", "probability": 0.9485677083333334}, {"start": 983.35, "end": 984.31, "word": " النقطة", "probability": 0.9186197916666666}, {"start": 984.31, "end": 984.65, "word": " الثانية", "probability": 0.9697265625}, {"start": 984.65, "end": 984.87, "word": " ال", "probability": 0.94970703125}, {"start": 984.87, "end": 985.29, "word": " order", "probability": 0.96826171875}, {"start": 985.29, "end": 985.73, "word": " لـG", "probability": 0.5965169270833334}, {"start": 985.73, "end": 986.01, "word": " هو", "probability": 0.96484375}, {"start": 986.01, "end": 986.19, "word": " ال", "probability": 0.96533203125}, {"start": 986.19, "end": 986.53, "word": " order", "probability": 0.97216796875}, {"start": 986.53, "end": 986.97, "word": " لـG", "probability": 0.9246419270833334}, {"start": 986.97, "end": 987.27, "word": " bar", "probability": 0.71923828125}, {"start": 987.27, "end": 988.09, "word": " كل", "probability": 0.89990234375}, {"start": 988.09, "end": 988.51, "word": " هذا", "probability": 0.9423828125}, {"start": 988.51, "end": 988.97, "word": " تحت", "probability": 0.994384765625}, {"start": 988.97, "end": 989.73, "word": " تأثير", "probability": 0.9810791015625}, {"start": 989.73, "end": 990.35, "word": " أن", "probability": 0.492919921875}, {"start": 990.35, "end": 990.57, "word": " ال", "probability": 0.69140625}, {"start": 990.57, "end": 990.85, "word": " Phi", "probability": 0.671875}, {"start": 990.85, "end": 991.05, "word": " اللي", "probability": 0.897216796875}, {"start": 991.05, "end": 991.51, "word": " عندها", "probability": 0.78662109375}, {"start": 991.51, "end": 992.15, "word": " عبارة", "probability": 0.85003662109375}, {"start": 992.15, "end": 992.75, "word": " عن", "probability": 0.9892578125}, {"start": 992.75, "end": 994.63, "word": " isomorphism", "probability": 0.8385416666666666}], "temperature": 1.0}, {"id": 43, "seek": 100751, "start": 995.37, "end": 1007.51, "text": "بذلك نصل الى النقطة الرابعة حد يلو سؤال هنا قبل ان ننتقل الى النقطة الرابعة اللى بحب يسألى سؤال هنا فيش بلاش", "tokens": [3555, 8848, 23275, 8717, 36520, 2423, 7578, 28239, 47432, 3660, 34892, 16758, 27884, 11331, 3215, 7251, 1211, 2407, 8608, 33604, 6027, 34105, 12174, 36150, 16472, 8717, 29399, 4587, 1211, 2423, 7578, 28239, 47432, 3660, 34892, 16758, 27884, 13672, 7578, 4724, 5016, 3555, 7251, 3794, 10721, 23942, 8608, 33604, 6027, 34105, 6156, 1829, 8592, 4724, 1211, 33599], "avg_logprob": -0.24205044487066435, "compression_ratio": 1.8055555555555556, "no_speech_prob": 0.0, "words": [{"start": 995.37, "end": 996.05, "word": "بذلك", "probability": 0.8082682291666666}, {"start": 996.05, "end": 996.59, "word": " نصل", "probability": 0.960205078125}, {"start": 996.59, "end": 996.93, "word": " الى", "probability": 0.6676025390625}, {"start": 996.93, "end": 997.49, "word": " النقطة", "probability": 0.90380859375}, {"start": 997.49, "end": 997.91, "word": " الرابعة", "probability": 0.9718424479166666}, {"start": 997.91, "end": 998.49, "word": " حد", "probability": 0.684814453125}, {"start": 998.49, "end": 998.77, "word": " يلو", "probability": 0.548583984375}, {"start": 998.77, "end": 999.13, "word": " سؤال", "probability": 0.93798828125}, {"start": 999.13, "end": 999.41, "word": " هنا", "probability": 0.7529296875}, {"start": 999.41, "end": 999.79, "word": " قبل", "probability": 0.98779296875}, {"start": 999.79, "end": 999.99, "word": " ان", "probability": 0.5}, {"start": 999.99, "end": 1000.47, "word": " ننتقل", "probability": 0.8529052734375}, {"start": 1000.47, "end": 1000.63, "word": " الى", "probability": 0.9140625}, {"start": 1000.63, "end": 1001.09, "word": " النقطة", "probability": 0.96826171875}, {"start": 1001.09, "end": 1001.69, "word": " الرابعة", "probability": 0.9853515625}, {"start": 1001.69, "end": 1002.71, "word": " اللى", "probability": 0.791748046875}, {"start": 1002.71, "end": 1003.03, "word": " بحب", "probability": 0.92578125}, {"start": 1003.03, "end": 1003.49, "word": " يسألى", "probability": 0.753173828125}, {"start": 1003.49, "end": 1003.95, "word": " سؤال", "probability": 0.9895833333333334}, {"start": 1003.95, "end": 1004.43, "word": " هنا", "probability": 0.98828125}, {"start": 1004.43, "end": 1006.01, "word": " فيش", "probability": 0.4503987630208333}, {"start": 1006.01, "end": 1007.51, "word": " بلاش", "probability": 0.80615234375}], "temperature": 1.0}, {"id": 44, "seek": 103285, "start": 1008.18, "end": 1032.86, "text": "نجي للنقطة الرابعة بيقول لو كان capital K هو subgroup من J فإن في of capital K كل العناصر في of small k بحيث ك موجود في ك كابتل عبارة عن subgroup من جي بار إذا بنحاول نثبت إن الست اللي عندنا هذه ال subgroup من جي بار", "tokens": [1863, 7435, 1829, 24976, 1863, 47432, 3660, 34892, 16758, 27884, 4724, 1829, 39648, 45164, 25961, 4238, 591, 31439, 1422, 17377, 9154, 508, 6156, 28814, 1863, 8978, 295, 4238, 591, 28242, 18863, 1863, 33546, 2288, 8978, 295, 1359, 350, 4724, 5016, 1829, 12984, 9122, 3714, 29245, 23328, 8978, 9122, 9122, 16758, 2655, 1211, 6225, 3555, 9640, 3660, 18871, 1422, 17377, 9154, 10874, 1829, 4724, 9640, 11933, 15730, 44945, 5016, 995, 12610, 8717, 12984, 3555, 2655, 36145, 2423, 14851, 13672, 1829, 43242, 8315, 29538, 2423, 1422, 17377, 9154, 10874, 1829, 4724, 9640], "avg_logprob": -0.3061469832619468, "compression_ratio": 1.67, "no_speech_prob": 0.0, "words": [{"start": 1008.18, "end": 1008.66, "word": "نجي", "probability": 0.4264322916666667}, {"start": 1008.66, "end": 1009.24, "word": " للنقطة", "probability": 0.83404541015625}, {"start": 1009.24, "end": 1009.54, "word": " الرابعة", "probability": 0.9383138020833334}, {"start": 1009.54, 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1016.54, "word": " capital", "probability": 0.468994140625}, {"start": 1016.54, "end": 1017.16, "word": " K", "probability": 0.90185546875}, {"start": 1017.16, "end": 1017.64, "word": " كل", "probability": 0.8984375}, {"start": 1017.64, "end": 1018.46, "word": " العناصر", "probability": 0.8824462890625}, {"start": 1018.46, "end": 1018.72, "word": " في", "probability": 0.93359375}, {"start": 1018.72, "end": 1019.02, "word": " of", "probability": 0.9541015625}, {"start": 1019.02, "end": 1019.46, "word": " small", "probability": 0.765625}, {"start": 1019.46, "end": 1019.76, "word": " k", "probability": 0.7685546875}, {"start": 1019.76, "end": 1020.22, "word": " بحيث", "probability": 0.884521484375}, {"start": 1020.22, "end": 1020.46, "word": " ك", "probability": 0.441650390625}, {"start": 1020.46, "end": 1020.94, "word": " موجود", "probability": 0.9254557291666666}, {"start": 1020.94, "end": 1021.1, "word": " في", "probability": 0.9130859375}, {"start": 1021.1, "end": 1021.34, "word": " ك", "probability": 0.432373046875}, {"start": 1021.34, "end": 1021.92, "word": " كابتل", "probability": 0.7791748046875}, {"start": 1021.92, "end": 1022.76, "word": " عبارة", "probability": 0.978759765625}, {"start": 1022.76, "end": 1023.0, "word": " عن", "probability": 0.99267578125}, {"start": 1023.0, "end": 1023.66, "word": " subgroup", "probability": 0.943359375}, {"start": 1023.66, "end": 1023.94, "word": " من", "probability": 0.9873046875}, {"start": 1023.94, "end": 1025.04, "word": " جي", "probability": 0.5435791015625}, {"start": 1025.04, "end": 1025.36, "word": " بار", "probability": 0.96044921875}, {"start": 1025.36, "end": 1026.0, "word": " إذا", "probability": 0.58642578125}, {"start": 1026.0, "end": 1026.78, "word": " بنحاول", "probability": 0.81951904296875}, {"start": 1026.78, "end": 1027.34, "word": " نثبت", "probability": 0.9794921875}, {"start": 1027.34, "end": 1027.56, "word": " إن", "probability": 0.513671875}, {"start": 1027.56, "end": 1028.18, "word": " الست", "probability": 0.574951171875}, {"start": 1028.18, "end": 1028.5, "word": " اللي", "probability": 0.9072265625}, {"start": 1028.5, "end": 1028.94, "word": " عندنا", "probability": 0.935546875}, {"start": 1028.94, "end": 1029.22, "word": " هذه", "probability": 0.419189453125}, {"start": 1029.22, "end": 1029.4, "word": " ال", "probability": 0.6328125}, {"start": 1029.4, "end": 1029.98, "word": " subgroup", "probability": 0.900634765625}, {"start": 1029.98, "end": 1030.22, "word": " من", "probability": 0.9833984375}, {"start": 1030.22, "end": 1032.52, "word": " جي", "probability": 0.74853515625}, {"start": 1032.52, "end": 1032.86, "word": " بار", "probability": 0.98828125}], "temperature": 1.0}, {"id": 45, "seek": 104827, "start": 1033.71, "end": 1048.27, "text": "لما كنا بنثبت ال subgroup كان عندي اكثر من طريقة لإثبات ال subgroup أبسطهم و أسرعهم اني أثبت نقطتين ان ال 6 اللي عندها دي is none امتى الخطوة الأولى", "tokens": [1211, 15042, 9122, 8315, 44945, 12984, 3555, 2655, 2423, 1422, 17377, 25961, 18871, 16254, 1975, 4117, 49115, 9154, 23032, 16572, 28671, 5296, 28814, 12984, 3555, 9307, 2423, 1422, 17377, 5551, 3555, 3794, 9566, 16095, 4032, 5551, 3794, 2288, 3615, 16095, 16472, 1829, 5551, 12984, 3555, 2655, 8717, 47432, 2655, 9957, 16472, 2423, 1386, 13672, 1829, 43242, 11296, 11778, 1829, 307, 6022, 1975, 2304, 49975, 33962, 9566, 2407, 3660, 16247, 12610, 7578], "avg_logprob": -0.1794704846623871, "compression_ratio": 1.525, "no_speech_prob": 0.0, "words": [{"start": 1033.71, "end": 1034.13, "word": "لما", "probability": 0.7144775390625}, {"start": 1034.13, "end": 1034.49, "word": " كنا", "probability": 0.96044921875}, {"start": 1034.49, "end": 1034.97, "word": " بنثبت", "probability": 0.9261474609375}, {"start": 1034.97, "end": 1035.09, "word": " ال", "probability": 0.89990234375}, {"start": 1035.09, "end": 1035.69, "word": " subgroup", "probability": 0.794677734375}, {"start": 1035.69, "end": 1035.97, "word": " كان", "probability": 0.75146484375}, {"start": 1035.97, "end": 1036.31, "word": " عندي", "probability": 0.8720703125}, {"start": 1036.31, "end": 1036.87, "word": " اكثر", "probability": 0.8203125}, {"start": 1036.87, "end": 1037.09, "word": " من", "probability": 0.98681640625}, {"start": 1037.09, "end": 1037.63, "word": " طريقة", "probability": 0.9923502604166666}, {"start": 1037.63, "end": 1038.69, "word": " لإثبات", "probability": 0.80009765625}, {"start": 1038.69, "end": 1038.89, "word": " ال", "probability": 0.669921875}, {"start": 1038.89, "end": 1039.61, "word": " subgroup", "probability": 0.876953125}, {"start": 1039.61, "end": 1040.69, "word": " أبسطهم", "probability": 0.9259765625}, {"start": 1040.69, "end": 1040.83, "word": " و", "probability": 0.7529296875}, {"start": 1040.83, "end": 1041.59, "word": " أسرعهم", "probability": 0.95693359375}, {"start": 1041.59, "end": 1042.29, "word": " اني", "probability": 0.632080078125}, {"start": 1042.29, "end": 1042.81, "word": " أثبت", "probability": 0.9342041015625}, {"start": 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1.0}, {"id": 46, "seek": 107572, "start": 1048.54, "end": 1075.72, "text": "خطوة ثانية لو أخدت منها عنصرين ضربت الأول في المعكوس التاني اللي جيتهم فيها إذا بصير هذه عبارة عن عبارة عن subgroup طب الآن انا أدعي ان five of K is non empty طيب ليش؟", "tokens": [9778, 9566, 2407, 3660, 38637, 7649, 10632, 45164, 5551, 9778, 3215, 2655, 9154, 11296, 18871, 9381, 2288, 9957, 48812, 25513, 2655, 16247, 12610, 8978, 9673, 3615, 4117, 41779, 16712, 7649, 1829, 13672, 1829, 10874, 36081, 16095, 8978, 11296, 11933, 15730, 4724, 9381, 13546, 29538, 6225, 3555, 9640, 3660, 18871, 6225, 3555, 9640, 3660, 18871, 1422, 17377, 23032, 3555, 6024, 48506, 1975, 8315, 5551, 3215, 3615, 1829, 16472, 1732, 295, 591, 307, 2107, 6707, 23032, 1829, 3555, 32239, 8592, 22807], "avg_logprob": -0.27148436978459356, "compression_ratio": 1.4627659574468086, "no_speech_prob": 0.0, "words": [{"start": 1048.54, "end": 1049.02, "word": "خطوة", "probability": 0.76959228515625}, {"start": 1049.02, "end": 1049.32, "word": " 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identity element تبع ال K هو ال identity element تبع من؟", "tokens": [6027, 7649, 21136, 33604, 6027, 31439, 591, 29538, 2423, 1422, 1594, 9154, 460, 44945, 5172, 3615, 7251, 30544, 1422, 1594, 4032, 15042, 8978, 11296, 6575, 4478, 22807, 44945, 5172, 3615, 22807, 5296, 10721, 7251, 3555, 4587, 7578, 1422, 1594, 2423, 6575, 4478, 6055, 3555, 3615, 2423, 591, 31439, 2423, 6575, 4478, 6055, 3555, 3615, 9154, 22807], "avg_logprob": -0.23396381997225577, "compression_ratio": 1.6338028169014085, "no_speech_prob": 0.0, "words": [{"start": 1076.83, "end": 1077.37, "word": "الان", "probability": 0.6771240234375}, {"start": 1077.37, "end": 1077.87, "word": " السؤال", "probability": 0.9547526041666666}, {"start": 1077.87, "end": 1078.29, "word": " هو", "probability": 0.9326171875}, {"start": 1078.29, "end": 1079.15, "word": " K", "probability": 0.2080078125}, {"start": 1079.15, "end": 1079.59, "word": " هذه", "probability": 0.62109375}, {"start": 1079.59, "end": 1079.83, "word": " ال", 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"probability": 0.850830078125}, {"start": 1122.44, "end": 1122.88, "word": " هنا", "probability": 0.9736328125}, {"start": 1122.88, "end": 1123.14, "word": " that", "probability": 0.71630859375}, {"start": 1123.14, "end": 1124.12, "word": " is", "probability": 0.95654296875}, {"start": 1124.12, "end": 1124.58, "word": " أي", "probability": 0.8232421875}, {"start": 1124.58, "end": 1125.3, "word": " أن", "probability": 0.5478515625}, {"start": 1125.3, "end": 1126.48, "word": " هذه", "probability": 0.5380859375}, {"start": 1126.48, "end": 1126.92, "word": " Phi", "probability": 0.10186767578125}, {"start": 1126.92, "end": 1127.32, "word": " of", "probability": 0.91064453125}, {"start": 1127.32, "end": 1127.62, "word": " E", "probability": 0.54541015625}, {"start": 1127.62, "end": 1127.84, "word": " جي", "probability": 0.5472412109375}, {"start": 1127.84, "end": 1128.02, "word": " من", "probability": 0.892578125}, {"start": 1128.02, "end": 1128.44, "word": " المرة", "probability": 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0.919921875}, {"start": 1135.3, "end": 1135.68, "word": " of", "probability": 0.94580078125}, {"start": 1135.68, "end": 1136.28, "word": " كابتال", "probability": 0.8597412109375}, {"start": 1136.28, "end": 1136.64, "word": " K", "probability": 0.9521484375}, {"start": 1136.64, "end": 1138.28, "word": " هذه", "probability": 0.82275390625}, {"start": 1138.28, "end": 1138.9, "word": " ههه", "probability": 0.6984049479166666}, {"start": 1138.9, "end": 1139.82, "word": " بالضبط", "probability": 0.871826171875}, {"start": 1139.82, "end": 1140.2, "word": " هي", "probability": 0.8291015625}, {"start": 1140.2, "end": 1140.68, "word": " هذه", "probability": 0.96240234375}], "temperature": 1.0}, {"id": 50, "seek": 114598, "start": 1141.66, "end": 1145.98, "text": "خدنا المرة اللي فتت أول نقطة في برهانة النظرية الماضية كان", "tokens": [9778, 3215, 8315, 9673, 25720, 13672, 1829, 6156, 2655, 2655, 5551, 12610, 8717, 47432, 3660, 8978, 4724, 2288, 3224, 7649, 3660, 28239, 19913, 2288, 10632, 9673, 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"temperature": 1.0}, {"id": 70, "seek": 165796, "start": 1633.92, "end": 1657.96, "text": "Define Phi by عرفنا اللي هو Phi M of A بدي ساوي الـ M A M inverse والـ M هذه مصفوفة نظامها 2 في 2 قد تكون في ال special و قد لا تكون لكن نظامها 2 في 2", "tokens": [35, 5666, 533, 41435, 538, 6225, 28480, 8315, 13672, 1829, 31439, 41435, 376, 295, 316, 4724, 16254, 8608, 995, 45865, 2423, 39184, 376, 316, 376, 17340, 16070, 39184, 376, 29538, 3714, 9381, 5172, 38688, 3660, 8717, 19913, 10943, 11296, 568, 8978, 568, 12174, 3215, 6055, 30544, 8978, 2423, 2121, 4032, 12174, 3215, 20193, 6055, 30544, 44381, 8717, 19913, 10943, 11296, 568, 8978, 568], "avg_logprob": -0.3010253864340484, "compression_ratio": 1.414012738853503, "no_speech_prob": 0.0, "words": [{"start": 1633.92, "end": 1634.76, "word": "Define", "probability": 0.6730143229166666}, {"start": 1634.76, "end": 1635.24, "word": " Phi", "probability": 0.65673828125}, {"start": 1635.24, "end": 1635.84, "word": " by", "probability": 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{"start": 1646.2, "end": 1647.0, "word": " M", "probability": 0.96533203125}, {"start": 1647.0, "end": 1647.82, "word": " inverse", "probability": 0.64892578125}, {"start": 1647.82, "end": 1649.82, "word": " والـ", "probability": 0.587646484375}, {"start": 1649.82, "end": 1650.02, "word": " M", "probability": 0.94921875}, {"start": 1650.02, "end": 1650.34, "word": " هذه", "probability": 0.84375}, {"start": 1650.34, "end": 1650.9, "word": " مصفوفة", "probability": 0.8345703125}, {"start": 1650.9, "end": 1651.54, "word": " نظامها", "probability": 0.98828125}, {"start": 1651.54, "end": 1652.0, "word": " 2", "probability": 0.77978515625}, {"start": 1652.0, "end": 1652.38, "word": " في", "probability": 0.439453125}, {"start": 1652.38, "end": 1652.76, "word": " 2", "probability": 0.9921875}, {"start": 1652.76, "end": 1653.26, "word": " قد", "probability": 0.957763671875}, {"start": 1653.26, "end": 1653.58, "word": " تكون", "probability": 0.971923828125}, {"start": 1653.58, "end": 1653.72, 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1658.66, "end": 1684.56, "text": "يبقى هاي ال function اللي عندنا نظرا اثبتناها احنا isomorphism وهيها من ال group الى نفس ال group يبقى في is an atomorphism يبقى هنا بدي بقوله since في م is an isomorphism وهذا previous", "tokens": [1829, 3555, 4587, 7578, 8032, 47302, 2423, 2445, 13672, 1829, 43242, 8315, 8717, 19913, 23557, 1975, 12984, 3555, 2655, 8315, 11296, 1975, 5016, 8315, 307, 32702, 1434, 37037, 1829, 11296, 9154, 2423, 1594, 2423, 7578, 8717, 36178, 2423, 1594, 7251, 3555, 4587, 7578, 8978, 307, 364, 12018, 18191, 1434, 7251, 3555, 4587, 7578, 34105, 4724, 16254, 4724, 39648, 3224, 1670, 8978, 3714, 307, 364, 307, 32702, 1434, 37037, 15730, 3894], "avg_logprob": -0.24801937207369737, "compression_ratio": 1.6196319018404908, "no_speech_prob": 0.0, "words": [{"start": 1658.66, "end": 1659.26, "word": "يبقى", "probability": 0.8448486328125}, {"start": 1659.26, "end": 1659.5, "word": " هاي", "probability": 0.5252685546875}, {"start": 1659.5, "end": 1659.66, "word": " ال", 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"word": " بقوله", "probability": 0.83984375}, {"start": 1674.24, "end": 1674.96, "word": " since", "probability": 0.76904296875}, {"start": 1674.96, "end": 1676.66, "word": " في", "probability": 0.466064453125}, {"start": 1676.66, "end": 1677.46, "word": " م", "probability": 0.2734375}, {"start": 1677.46, "end": 1679.18, "word": " is", "probability": 0.92333984375}, {"start": 1679.18, "end": 1680.24, "word": " an", "probability": 0.8330078125}, {"start": 1680.24, "end": 1682.68, "word": " isomorphism", "probability": 0.9680989583333334}, {"start": 1682.68, "end": 1683.76, "word": " وهذا", "probability": 0.671875}, {"start": 1683.76, "end": 1684.56, "word": " previous", "probability": 0.62646484375}], "temperature": 1.0}, {"id": 72, "seek": 171307, "start": 1686.03, "end": 1713.07, "text": "example مش هنقعد هنا أعيد فيه تاني and الـ phi m من ال special linear group لل special linear group هيها نفسها يبقى we have أنه phi is an atomorphism", "tokens": [3121, 335, 781, 37893, 8032, 1863, 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"word": " group", "probability": 0.98681640625}, {"start": 1700.91, "end": 1702.47, "word": " هيها", "probability": 0.596435546875}, {"start": 1702.47, "end": 1703.81, "word": " نفسها", "probability": 0.9886067708333334}, {"start": 1703.81, "end": 1704.87, "word": " يبقى", "probability": 0.9715576171875}, {"start": 1704.87, "end": 1705.65, "word": " we", "probability": 0.7314453125}, {"start": 1705.65, "end": 1706.69, "word": " have", "probability": 0.97216796875}, {"start": 1706.69, "end": 1708.81, "word": " أنه", "probability": 0.434814453125}, {"start": 1708.81, "end": 1709.35, "word": " phi", "probability": 0.61767578125}, {"start": 1709.35, "end": 1710.15, "word": " is", "probability": 0.92041015625}, {"start": 1710.15, "end": 1710.97, "word": " an", "probability": 0.80712890625}, {"start": 1710.97, "end": 1713.07, "word": " atomorphism", "probability": 0.71044921875}], "temperature": 1.0}, {"id": 73, "seek": 174415, "start": 1715.93, "end": 1744.15, "text": "هذا مثال كنا عاملينه و احنا مش عارفينه او ندريش انه atomorphism اثبتنا انه isomorphism و سكتنا لكن لما كان من ال group إلى نفس ال group اذا صار هذا معله صار atomorphism نعطي مثال اخر تبقى هذا اعتبره المثال الأول نجي للمثال الرقم اتنين بيقول الات", "tokens": [3224, 15730, 50113, 6027, 9122, 8315, 6225, 10943, 1211, 9957, 3224, 4032, 1975, 5016, 8315, 37893, 6225, 9640, 5172, 9957, 3224, 1975, 2407, 8717, 3215, 16572, 8592, 16472, 3224, 12018, 18191, 1434, 1975, 12984, 3555, 2655, 8315, 16472, 3224, 307, 32702, 1434, 4032, 8608, 4117, 2655, 8315, 44381, 5296, 15042, 25961, 9154, 2423, 1594, 30731, 8717, 36178, 2423, 1594, 1975, 15730, 20328, 9640, 23758, 20449, 43761, 20328, 9640, 12018, 18191, 1434, 8717, 3615, 9566, 1829, 50113, 6027, 1975, 34740, 6055, 3555, 4587, 7578, 23758, 1975, 34268, 26890, 3224, 9673, 12984, 6027, 16247, 12610, 8717, 7435, 1829, 5296, 19528, 12984, 6027, 34892, 4587, 2304, 1975, 2655, 1863, 9957, 4724, 1829, 39648, 2423, 9307], "avg_logprob": -0.2529037526223512, 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"probability": 0.412353515625}, {"start": 1751.81, "end": 1753.15, "word": " بحيث", "probability": 0.98046875}, {"start": 1753.15, "end": 1753.55, "word": " ان", "probability": 0.490234375}, {"start": 1753.55, "end": 1753.91, "word": " ال", "probability": 0.89892578125}, {"start": 1753.91, "end": 1754.17, "word": " A", "probability": 0.6337890625}, {"start": 1754.17, "end": 1754.37, "word": " و", "probability": 0.93115234375}, {"start": 1754.37, "end": 1754.57, "word": " ال", "probability": 0.71875}, {"start": 1754.57, "end": 1754.83, "word": " B", "probability": 0.9833984375}, {"start": 1754.83, "end": 1755.89, "word": " موجودة", "probability": 0.9854736328125}, {"start": 1755.89, "end": 1756.09, "word": " في", "probability": 0.8603515625}, {"start": 1756.09, "end": 1756.25, "word": " ال", "probability": 0.47119140625}, {"start": 1756.25, "end": 1756.53, "word": " set", "probability": 0.87255859375}, {"start": 1756.53, "end": 1756.83, "word": " of", "probability": 0.9599609375}, {"start": 1756.83, "end": 1757.17, "word": " real", "probability": 0.96728515625}, {"start": 1757.17, "end": 1757.99, "word": " numbers", "probability": 0.8173828125}, {"start": 1757.99, "end": 1759.37, "word": " then", "probability": 0.412109375}, {"start": 1759.37, "end": 1761.09, "word": " ال", "probability": 0.83935546875}, {"start": 1761.09, "end": 1761.49, "word": " R", "probability": 0.81884765625}, {"start": 1761.49, "end": 1762.13, "word": " square", "probability": 0.31298828125}, {"start": 1762.13, "end": 1762.31, "word": " و", "probability": 0.96630859375}, {"start": 1762.31, "end": 1762.73, "word": " عليها", "probability": 0.90673828125}, {"start": 1762.73, "end": 1763.57, "word": " عملية", "probability": 0.9794921875}, {"start": 1763.57, "end": 1764.43, "word": " الجمع", "probability": 0.85986328125}, {"start": 1764.43, "end": 1765.73, "word": " is", "probability": 0.66357421875}, {"start": 1765.73, "end": 1767.01, "word": " a", "probability": 0.94189453125}, {"start": 1767.01, "end": 1767.65, "word": " group", "probability": 0.9638671875}, {"start": 1767.65, "end": 1769.43, "word": " هذا", "probability": 0.384033203125}, {"start": 1769.43, "end": 1769.71, "word": " لما", "probability": 0.9306640625}, {"start": 1769.71, "end": 1770.21, "word": " اتروح", "probability": 0.916748046875}, {"start": 1770.21, "end": 1770.37, "word": " في", "probability": 0.953125}, {"start": 1770.37, "end": 1770.95, "word": " الدار", "probability": 0.864990234375}, {"start": 1770.95, "end": 1772.25, "word": " شيكلي", "probability": 0.7095947265625}, {"start": 1772.25, "end": 1772.69, "word": " عليها", "probability": 0.9912109375}, {"start": 1772.69, "end": 1772.87, "word": " و", "probability": 0.7978515625}, {"start": 1772.87, "end": 1773.59, "word": " اتأكد", "probability": 0.87412109375}], "temperature": 1.0}, {"id": 75, "seek": 179881, "start": 1773.97, "end": 1798.81, "text": "انه هذه عبارة عن group define a function phi من ال R square لل R square by phi of A و B بده يساوي ال B و ال A", "tokens": [7649, 3224, 29538, 6225, 3555, 9640, 3660, 18871, 1594, 6964, 257, 2445, 13107, 9154, 2423, 497, 3732, 24976, 497, 3732, 538, 13107, 295, 316, 4032, 363, 47525, 3224, 7251, 3794, 995, 45865, 2423, 363, 4032, 2423, 316], "avg_logprob": -0.3830181023007945, "compression_ratio": 1.1932773109243697, "no_speech_prob": 0.0, "words": [{"start": 1773.97, "end": 1774.43, "word": "انه", "probability": 0.426513671875}, {"start": 1774.43, "end": 1774.73, "word": " هذه", "probability": 0.326171875}, {"start": 1774.73, "end": 1775.21, "word": " عبارة", "probability": 0.986572265625}, {"start": 1775.21, "end": 1775.45, "word": " عن", "probability": 0.99658203125}, {"start": 1775.45, "end": 1775.97, "word": " group", "probability": 0.5068359375}, {"start": 1775.97, "end": 1777.93, "word": " define", "probability": 0.71044921875}, {"start": 1777.93, "end": 1781.79, "word": " a", "probability": 0.318359375}, {"start": 1781.79, "end": 1782.99, "word": " function", "probability": 0.974609375}, {"start": 1782.99, "end": 1784.23, "word": " phi", "probability": 0.13818359375}, {"start": 1784.23, "end": 1785.05, "word": " من", "probability": 0.98291015625}, {"start": 1785.05, "end": 1785.35, "word": " ال", "probability": 0.86328125}, {"start": 1785.35, "end": 1785.67, "word": " R", "probability": 0.6953125}, {"start": 1785.67, "end": 1786.47, "word": " square", "probability": 0.259033203125}, {"start": 1786.47, "end": 1787.33, "word": " لل", "probability": 0.58056640625}, {"start": 1787.33, "end": 1787.87, "word": " R", "probability": 0.73779296875}, {"start": 1787.87, "end": 1788.65, "word": " square", "probability": 0.79150390625}, {"start": 1788.65, "end": 1789.99, "word": " by", "probability": 0.88330078125}, {"start": 1789.99, "end": 1791.67, "word": " phi", "probability": 0.67822265625}, {"start": 1791.67, "end": 1792.15, "word": " of", "probability": 0.96875}, {"start": 1792.15, "end": 1792.83, "word": " A", "probability": 0.42333984375}, {"start": 1792.83, "end": 1793.63, "word": " و", "probability": 0.70458984375}, {"start": 1793.63, "end": 1794.09, "word": " B", "probability": 0.52783203125}, {"start": 1794.09, "end": 1795.11, "word": " بده", "probability": 0.643310546875}, {"start": 1795.11, "end": 1795.91, "word": " يساوي", "probability": 0.9249267578125}, {"start": 1795.91, "end": 1796.83, "word": " ال", "probability": 0.94677734375}, {"start": 1796.83, "end": 1797.45, "word": " B", "probability": 0.94189453125}, {"start": 1797.45, "end": 1798.25, "word": " و", "probability": 0.62890625}, {"start": 1798.25, "end": 1798.47, "word": " ال", "probability": 0.6845703125}, {"start": 1798.47, "end": 1798.81, "word": " A", "probability": 0.9677734375}], "temperature": 1.0}, {"id": 76, "seek": 181895, "start": 1803.43, "end": 1818.95, "text": "show that أن فاي is an atomorphism بيجيلي أن فاي عبارة عن atomorphism", "tokens": [34436, 300, 14739, 6156, 47302, 307, 364, 12018, 18191, 1434, 4724, 1829, 7435, 1829, 20292, 14739, 6156, 47302, 6225, 3555, 9640, 3660, 18871, 12018, 18191, 1434], "avg_logprob": -0.4282407385331613, "compression_ratio": 1.15, "no_speech_prob": 0.0, "words": [{"start": 1803.43, "end": 1803.83, "word": "show", "probability": 0.24755859375}, {"start": 1803.83, "end": 1804.49, "word": " that", "probability": 0.8818359375}, {"start": 1804.49, "end": 1808.09, "word": " أن", "probability": 0.3740234375}, {"start": 1808.09, "end": 1808.87, "word": " فاي", "probability": 0.36358642578125}, {"start": 1808.87, "end": 1810.09, "word": " is", "probability": 0.68115234375}, {"start": 1810.09, "end": 1812.01, "word": " an", "probability": 0.5966796875}, {"start": 1812.01, "end": 1813.95, "word": " atomorphism", "probability": 0.8037109375}, {"start": 1813.95, "end": 1815.59, "word": " بيجيلي", "probability": 0.6211669921875}, {"start": 1815.59, "end": 1815.87, "word": " أن", "probability": 0.76318359375}, {"start": 1815.87, "end": 1816.41, "word": " فاي", "probability": 0.84814453125}, {"start": 1816.41, "end": 1817.01, "word": " عبارة", "probability": 0.987548828125}, {"start": 1817.01, "end": 1817.37, "word": " عن", "probability": 0.98876953125}, {"start": 1817.37, "end": 1818.95, "word": " atomorphism", "probability": 0.84912109375}], "temperature": 1.0}, {"id": 77, "seek": 184354, "start": 1828.12, "end": 1843.54, "text": "يبقى احنا الـ function اللى عندنا قال يعرف الـ function define a function في من R تربيع الى R تربيع بحيث في of A وB بتقلب وضع اللى هو ال A و ال B إلى B و A", "tokens": [1829, 3555, 4587, 7578, 1975, 5016, 8315, 2423, 39184, 2445, 13672, 7578, 43242, 8315, 50239, 37495, 28480, 2423, 39184, 2445, 6964, 257, 2445, 8978, 9154, 497, 6055, 2288, 21292, 3615, 2423, 7578, 497, 6055, 2288, 21292, 3615, 4724, 5016, 1829, 12984, 8978, 295, 316, 4032, 33, 39894, 4587, 46152, 4032, 11242, 3615, 13672, 7578, 31439, 2423, 316, 4032, 2423, 363, 30731, 363, 4032, 316], "avg_logprob": -0.3158653846153846, "compression_ratio": 1.5782312925170068, "no_speech_prob": 0.0, "words": [{"start": 1828.12, "end": 1828.66, "word": "يبقى", "probability": 0.6270751953125}, {"start": 1828.66, "end": 1829.02, "word": " احنا", "probability": 0.8118489583333334}, {"start": 1829.02, "end": 1829.24, "word": " الـ", "probability": 0.38330078125}, {"start": 1829.24, "end": 1829.64, "word": " function", "probability": 0.76025390625}, {"start": 1829.64, "end": 1829.94, "word": " اللى", "probability": 0.769287109375}, {"start": 1829.94, "end": 1830.56, "word": " عندنا", "probability": 0.796875}, {"start": 1830.56, "end": 1831.24, "word": " قال", "probability": 0.1097412109375}, {"start": 1831.24, "end": 1831.76, "word": " يعرف", "probability": 0.923828125}, {"start": 1831.76, "end": 1832.08, "word": " الـ", "probability": 0.892333984375}, {"start": 1832.08, "end": 1832.8, "word": " function", "probability": 0.947265625}, {"start": 1832.8, "end": 1833.62, "word": " define", "probability": 0.2342529296875}, {"start": 1833.62, "end": 1833.94, "word": " a", "probability": 0.6123046875}, {"start": 1833.94, "end": 1834.36, "word": " function", "probability": 0.98095703125}, {"start": 1834.36, "end": 1834.76, "word": " في", "probability": 0.202392578125}, {"start": 1834.76, "end": 1834.98, "word": " من", "probability": 0.8671875}, {"start": 1834.98, "end": 1835.38, "word": " R", "probability": 0.7548828125}, {"start": 1835.38, "end": 1835.84, "word": " تربيع", "probability": 0.9046630859375}, {"start": 1835.84, "end": 1836.1, "word": " الى", "probability": 0.726318359375}, {"start": 1836.1, "end": 1836.34, "word": " R", "probability": 0.95849609375}, {"start": 1836.34, "end": 1837.0, "word": " تربيع", "probability": 0.96728515625}, {"start": 1837.0, "end": 1837.8, "word": " بحيث", "probability": 0.893798828125}, {"start": 1837.8, "end": 1838.12, "word": " في", "probability": 0.8466796875}, {"start": 1838.12, "end": 1838.4, "word": " of", "probability": 0.69189453125}, {"start": 1838.4, "end": 1838.66, "word": " A", "probability": 0.53125}, {"start": 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1.0}, {"id": 92, "seek": 222687, "start": 2203.59, "end": 2226.87, "text": "طب ايش اللي عملنا؟ طلع هنا أخدت مجموع اللي هو two ordered pair لجيت تأثير الفي عليهم يسوى تأثير الفي على ال element الأول زي تأثير الفي على ال element الثاني هنا ظلت النقطة الأخيرة يبقى since", "tokens": [9566, 3555, 1975, 1829, 8592, 13672, 1829, 6225, 42213, 8315, 22807, 23032, 1211, 3615, 34105, 5551, 9778, 3215, 2655, 3714, 7435, 2304, 45367, 13672, 1829, 31439, 732, 8866, 6119, 5296, 7435, 36081, 6055, 10721, 12984, 13546, 27188, 1829, 25894, 16095, 7251, 3794, 2407, 7578, 6055, 10721, 12984, 13546, 27188, 1829, 15844, 2423, 4478, 16247, 12610, 30767, 1829, 6055, 10721, 12984, 13546, 27188, 1829, 15844, 2423, 4478, 6024, 104, 7649, 1829, 34105, 1357, 116, 1211, 2655, 28239, 47432, 3660, 16247, 9778, 48923, 7251, 3555, 4587, 7578, 1670], "avg_logprob": -0.18750000102766629, "compression_ratio": 1.768361581920904, "no_speech_prob": 0.0, "words": [{"start": 2203.59, "end": 2203.89, "word": "طب", 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" pair", "probability": 0.6005859375}, {"start": 2210.93, "end": 2211.71, "word": " لجيت", "probability": 0.5941569010416666}, {"start": 2211.71, "end": 2212.23, "word": " تأثير", "probability": 0.9818115234375}, {"start": 2212.23, "end": 2212.63, "word": " الفي", "probability": 0.362060546875}, {"start": 2212.63, "end": 2213.25, "word": " عليهم", "probability": 0.97265625}, {"start": 2213.25, "end": 2214.15, "word": " يسوى", "probability": 0.8690185546875}, {"start": 2214.15, "end": 2214.91, "word": " تأثير", "probability": 0.9896240234375}, {"start": 2214.91, "end": 2216.03, "word": " الفي", "probability": 0.88671875}, {"start": 2216.03, "end": 2216.57, "word": " على", "probability": 0.71484375}, {"start": 2216.57, "end": 2216.81, "word": " ال", "probability": 0.96923828125}, {"start": 2216.81, "end": 2217.25, "word": " element", "probability": 0.9169921875}, {"start": 2217.25, "end": 2218.01, "word": " الأول", "probability": 0.975341796875}, {"start": 2218.01, "end": 2218.73, "word": " زي", "probability": 0.95166015625}, {"start": 2218.73, "end": 2219.39, "word": " تأثير", "probability": 0.9801025390625}, {"start": 2219.39, "end": 2219.87, "word": " الفي", "probability": 0.959228515625}, {"start": 2219.87, "end": 2220.13, "word": " على", "probability": 0.88720703125}, {"start": 2220.13, "end": 2220.37, "word": " ال", "probability": 0.97265625}, {"start": 2220.37, "end": 2221.01, "word": " element", "probability": 0.97216796875}, {"start": 2221.01, "end": 2222.51, "word": " الثاني", "probability": 0.9488525390625}, {"start": 2222.51, "end": 2223.39, "word": " هنا", "probability": 0.94091796875}, {"start": 2223.39, "end": 2223.93, "word": " ظلت", "probability": 0.7808837890625}, {"start": 2223.93, "end": 2224.53, "word": " النقطة", "probability": 0.9869791666666666}, {"start": 2224.53, "end": 2225.31, "word": " الأخيرة", "probability": 0.9547526041666666}, {"start": 2225.31, "end": 2226.19, "word": " يبقى", "probability": 0.98583984375}, {"start": 2226.19, "end": 2226.87, "word": " since", "probability": 0.56640625}], "temperature": 1.0}, {"id": 93, "seek": 224496, "start": 2227.36, "end": 2244.96, "text": "فاي من R تربية الى R تربية is an isomorphism يبقى الفاي is an atomorphism وهو المطلوب", "tokens": [5172, 47302, 9154, 497, 6055, 25513, 10632, 2423, 7578, 497, 6055, 25513, 10632, 307, 364, 307, 32702, 1434, 7251, 3555, 4587, 7578, 27188, 47302, 307, 364, 12018, 18191, 1434, 37037, 2407, 9673, 9566, 1211, 37746], "avg_logprob": -0.2224392423199283, "compression_ratio": 1.3406593406593406, "no_speech_prob": 0.0, "words": [{"start": 2227.36, "end": 2228.1, "word": "فاي", "probability": 0.3055419921875}, {"start": 2228.1, "end": 2228.78, "word": " من", "probability": 0.9384765625}, {"start": 2228.78, "end": 2229.32, "word": " R", "probability": 0.46923828125}, {"start": 2229.32, "end": 2230.1, "word": " تربية", "probability": 0.8289388020833334}, {"start": 2230.1, "end": 2230.74, "word": " الى", "probability": 0.74853515625}, {"start": 2230.74, "end": 2231.26, "word": " R", "probability": 0.88037109375}, {"start": 2231.26, "end": 2232.04, "word": " تربية", "probability": 0.97119140625}, {"start": 2232.04, "end": 2232.94, "word": " is", "probability": 0.865234375}, {"start": 2232.94, "end": 2233.72, "word": " an", "probability": 0.783203125}, {"start": 2233.72, "end": 2235.36, "word": " isomorphism", "probability": 0.9588216145833334}, {"start": 2235.36, "end": 2236.48, "word": " يبقى", "probability": 0.961181640625}, {"start": 2236.48, "end": 2237.26, "word": " الفاي", "probability": 0.74462890625}, {"start": 2237.26, "end": 2238.02, "word": " is", "probability": 0.9423828125}, {"start": 2238.02, "end": 2239.4, "word": " an", "probability": 0.837890625}, {"start": 2239.4, "end": 2241.98, "word": " atomorphism", "probability": 0.7566731770833334}, {"start": 2241.98, "end": 2244.4, "word": " وهو", "probability": 0.8076171875}, {"start": 2244.4, "end": 2244.96, "word": " المطلوب", "probability": 0.981689453125}], "temperature": 1.0}, {"id": 94, "seek": 227460, "start": 2246.92, "end": 2274.6, "text": "يبقى من الأنفا صاعدا مشان أثبت أنه في اتو مورفزم بدي أتأكد أنه لازم تبقى من ال group لنفس ال group و بعد هيك ايزو مورفزم فباقى عندنا في هذه المحاضرة تعريف له علاقة بهذه النقطة تعريف بقول ما يأتي definition little gb group", "tokens": [1829, 3555, 4587, 7578, 9154, 16247, 1863, 5172, 995, 20328, 995, 22488, 995, 37893, 7649, 5551, 12984, 3555, 2655, 14739, 3224, 8978, 1975, 2655, 2407, 3714, 13063, 5172, 11622, 2304, 4724, 16254, 5551, 2655, 10721, 4117, 3215, 14739, 3224, 5296, 31377, 2304, 6055, 3555, 4587, 7578, 9154, 2423, 1594, 5296, 1863, 36178, 2423, 1594, 4032, 39182, 39896, 4117, 1975, 1829, 11622, 2407, 3714, 13063, 5172, 11622, 2304, 6156, 3555, 995, 4587, 7578, 43242, 8315, 8978, 29538, 9673, 5016, 46958, 25720, 37279, 16572, 5172, 46740, 11203, 995, 28671, 39627, 24192, 28239, 47432, 3660, 37279, 16572, 5172, 4724, 39648, 19446, 7251, 10721, 31371, 7123, 707, 290, 65, 1594], "avg_logprob": -0.15683410964279532, "compression_ratio": 1.7428571428571429, "no_speech_prob": 0.0, "words": [{"start": 2246.92, "end": 2247.32, "word": "يبقى", "probability": 0.8638916015625}, {"start": 2247.32, "end": 2247.48, "word": " من", "probability": 0.95263671875}, {"start": 2247.48, "end": 2248.04, "word": " الأنفا", "probability": 0.775390625}, {"start": 2248.04, "end": 2248.7, "word": " صاعدا", "probability": 0.8121337890625}, {"start": 2248.7, "end": 2249.58, "word": " مشان", "probability": 0.586669921875}, {"start": 2249.58, "end": 2250.12, "word": " أثبت", "probability": 0.9644775390625}, {"start": 2250.12, "end": 2250.46, "word": " أنه", "probability": 0.697509765625}, {"start": 2250.46, "end": 2250.74, "word": " في", "probability": 0.84423828125}, {"start": 2250.74, "end": 2251.64, "word": " اتو", "probability": 0.4186197916666667}, {"start": 2251.64, "end": 2252.52, "word": " مورفزم", "probability": 0.85732421875}, {"start": 2252.52, "end": 2253.38, "word": " بدي", "probability": 0.722412109375}, {"start": 2253.38, "end": 2254.2, "word": " أتأكد", "probability": 0.91572265625}, {"start": 2254.2, "end": 2254.66, "word": " أنه", "probability": 0.713134765625}, {"start": 2254.66, "end": 2254.98, "word": " لازم", "probability": 0.98095703125}, {"start": 2254.98, "end": 2255.38, "word": " تبقى", "probability": 0.9713134765625}, {"start": 2255.38, "end": 2255.62, "word": " من", "probability": 0.88623046875}, {"start": 2255.62, "end": 2255.78, "word": " ال", "probability": 0.5673828125}, {"start": 2255.78, "end": 2256.08, "word": " group", "probability": 0.8759765625}, {"start": 2256.08, "end": 2256.62, "word": " لنفس", "probability": 0.9661458333333334}, {"start": 2256.62, "end": 2256.8, "word": " ال", "probability": 0.9306640625}, {"start": 2256.8, "end": 2257.24, "word": " group", "probability": 0.97412109375}, {"start": 2257.24, "end": 2257.64, "word": " و", "probability": 0.59814453125}, {"start": 2257.64, "end": 2258.0, "word": " بعد", "probability": 0.82080078125}, {"start": 2258.0, "end": 2258.52, "word": " هيك", "probability": 0.878662109375}, {"start": 2258.52, "end": 2259.12, "word": " ايزو", "probability": 0.88916015625}, {"start": 2259.12, "end": 2259.98, "word": " مورفزم", "probability": 0.9810546875}, {"start": 2259.98, "end": 2261.62, "word": " فباقى", "probability": 0.8689453125}, {"start": 2261.62, "end": 2261.96, "word": " عندنا", "probability": 0.93896484375}, {"start": 2261.96, "end": 2262.08, "word": " في", "probability": 0.98046875}, {"start": 2262.08, "end": 2262.34, "word": " هذه", "probability": 0.92041015625}, {"start": 2262.34, "end": 2263.04, "word": " المحاضرة", "probability": 0.9906005859375}, {"start": 2263.04, "end": 2263.7, "word": " تعريف", "probability": 0.9889322916666666}, {"start": 2263.7, "end": 2264.02, "word": " له", "probability": 0.98583984375}, {"start": 2264.02, "end": 2264.78, "word": " علاقة", "probability": 0.9822591145833334}, {"start": 2264.78, "end": 2265.52, "word": " بهذه", "probability": 0.9609375}, {"start": 2265.52, "end": 2266.88, "word": " النقطة", "probability": 0.9850260416666666}, {"start": 2266.88, "end": 2267.52, "word": " تعريف", "probability": 0.9832356770833334}, {"start": 2267.52, "end": 2268.3, "word": " بقول", "probability": 0.93408203125}, {"start": 2268.3, "end": 2268.72, "word": " ما", "probability": 0.96923828125}, {"start": 2268.72, "end": 2269.36, "word": " يأتي", "probability": 0.8976236979166666}, {"start": 2269.36, "end": 2270.68, "word": " definition", "probability": 0.75439453125}, {"start": 2270.68, "end": 2273.36, "word": " little", "probability": 0.583984375}, {"start": 2273.36, "end": 2273.96, "word": " gb", "probability": 0.76953125}, {"start": 2273.96, "end": 2274.6, "word": " group", "probability": 0.98876953125}], "temperature": 1.0}, {"id": 95, "seek": 230282, "start": 2274.9, "end": 2302.82, "text": "let الـ G بي A group and let ال A موجود في هذه ال group define a function فاي A من ال group G إلى ال group G by", "tokens": [2631, 2423, 39184, 460, 4724, 1829, 316, 1594, 293, 718, 2423, 316, 3714, 29245, 23328, 8978, 29538, 2423, 1594, 6964, 257, 2445, 6156, 47302, 316, 9154, 2423, 1594, 460, 30731, 2423, 1594, 460, 538], "avg_logprob": -0.3111607142857143, "compression_ratio": 1.3523809523809525, "no_speech_prob": 0.0, "words": [{"start": 2274.9, "end": 2275.58, "word": "let", "probability": 0.3330078125}, {"start": 2275.58, "end": 2276.06, "word": " الـ", "probability": 0.5782470703125}, {"start": 2276.06, "end": 2276.42, "word": " G", "probability": 0.472900390625}, {"start": 2276.42, "end": 2277.46, "word": " بي", "probability": 0.625}, {"start": 2277.46, "end": 2278.4, "word": " A", "probability": 0.23681640625}, {"start": 2278.4, "end": 2279.04, "word": " group", "probability": 0.794921875}, {"start": 2279.04, "end": 2282.42, "word": " and", "probability": 0.72705078125}, {"start": 2282.42, "end": 2284.22, "word": " let", "probability": 0.8935546875}, {"start": 2284.22, "end": 2284.82, "word": " ال", "probability": 0.8896484375}, {"start": 2284.82, "end": 2285.2, "word": " A", "probability": 0.85302734375}, {"start": 2285.2, "end": 2285.96, "word": " موجود", "probability": 0.9895833333333334}, {"start": 2285.96, "end": 2286.22, "word": " في", "probability": 0.8544921875}, {"start": 2286.22, "end": 2286.7, "word": " هذه", "probability": 0.8154296875}, {"start": 2286.7, "end": 2286.94, "word": " ال", "probability": 0.87646484375}, {"start": 2286.94, "end": 2287.36, "word": " group", "probability": 0.9716796875}, {"start": 2287.36, "end": 2290.04, "word": " define", "probability": 0.95263671875}, {"start": 2290.04, "end": 2292.3, "word": " a", "probability": 0.9423828125}, {"start": 2292.3, "end": 2293.38, "word": " function", "probability": 0.97705078125}, {"start": 2293.38, "end": 2295.14, "word": " فاي", "probability": 0.4041748046875}, {"start": 2295.14, "end": 2295.88, "word": " A", "probability": 0.77294921875}, {"start": 2295.88, "end": 2298.1, "word": " من", "probability": 0.98876953125}, {"start": 2298.1, "end": 2298.48, "word": " ال", "probability": 0.78564453125}, {"start": 2298.48, "end": 2298.88, "word": " group", "probability": 0.982421875}, {"start": 2298.88, "end": 2299.42, "word": " G", "probability": 0.953125}, {"start": 2299.42, "end": 2299.92, "word": " إلى", "probability": 0.861328125}, {"start": 2299.92, "end": 2300.28, "word": " ال", "probability": 0.92626953125}, {"start": 2300.28, "end": 2300.68, "word": " group", "probability": 0.9892578125}, {"start": 2300.68, "end": 2301.5, "word": " G", "probability": 0.70556640625}, {"start": 2301.5, "end": 2302.82, "word": " by", "probability": 0.8642578125}], "temperature": 1.0}, {"id": 96, "seek": 233212, "start": 2305.0, "end": 2332.12, "text": "فاي a of x يساوي a x a inverse لكل ال x اللي موجود في g بالاستثناء يبقى then فاي a is called is called an", "tokens": [5172, 47302, 257, 295, 2031, 7251, 3794, 995, 45865, 257, 2031, 257, 17340, 5296, 28820, 2423, 2031, 13672, 1829, 3714, 29245, 23328, 8978, 290, 20666, 995, 14851, 12984, 1863, 16606, 7251, 3555, 4587, 7578, 550, 6156, 47302, 257, 307, 1219, 307, 1219, 364], "avg_logprob": -0.28817471861839294, "compression_ratio": 1.2372881355932204, "no_speech_prob": 0.0, "words": [{"start": 2305.0, "end": 2306.4, "word": "فاي", "probability": 0.4580078125}, {"start": 2306.4, "end": 2307.8, "word": " a", "probability": 0.244140625}, {"start": 2307.8, "end": 2308.52, "word": " of", "probability": 0.8193359375}, {"start": 2308.52, "end": 2309.12, "word": " x", "probability": 0.90185546875}, {"start": 2309.12, "end": 2310.22, "word": " يساوي", "probability": 0.69158935546875}, {"start": 2310.22, "end": 2310.86, "word": " a", "probability": 0.42919921875}, {"start": 2310.86, "end": 2311.7, "word": " x", "probability": 0.7734375}, {"start": 2311.7, "end": 2312.32, "word": " a", "probability": 0.8818359375}, {"start": 2312.32, "end": 2313.12, "word": " inverse", "probability": 0.71728515625}, {"start": 2313.12, "end": 2316.58, "word": " لكل", "probability": 0.946533203125}, {"start": 2316.58, "end": 2316.98, "word": " ال", "probability": 0.849609375}, {"start": 2316.98, "end": 2317.34, "word": " x", "probability": 0.7119140625}, {"start": 2317.34, "end": 2317.68, "word": " اللي", "probability": 0.8154296875}, {"start": 2317.68, "end": 2318.32, "word": " موجود", "probability": 0.9894205729166666}, {"start": 2318.32, "end": 2318.52, "word": " في", "probability": 0.90625}, {"start": 2318.52, "end": 2318.82, "word": " g", "probability": 0.56640625}, {"start": 2318.82, "end": 2320.24, "word": " بالاستثناء", "probability": 0.820770263671875}, {"start": 2320.24, "end": 2321.86, "word": " يبقى", "probability": 0.9736328125}, {"start": 2321.86, "end": 2322.5, "word": " then", "probability": 0.7294921875}, {"start": 2322.5, "end": 2324.2, "word": " فاي", "probability": 0.677001953125}, {"start": 2324.2, "end": 2324.94, "word": " a", "probability": 0.87158203125}, {"start": 2324.94, "end": 2326.74, "word": " is", "probability": 0.91357421875}, {"start": 2326.74, "end": 2327.56, "word": " called", "probability": 0.93212890625}, {"start": 2327.56, "end": 2329.32, "word": " is", "probability": 0.7890625}, {"start": 2329.32, "end": 2330.42, "word": " called", "probability": 0.91064453125}, {"start": 2330.42, "end": 2332.12, "word": " an", "probability": 0.60888671875}], "temperature": 1.0}, {"id": 97, "seek": 236167, "start": 2334.79, "end": 2361.67, "text": "و الله is called the inner the inner atomorphism atomorphism of g induced by a ناخد مثال", "tokens": [2407, 21984, 307, 1219, 264, 7284, 264, 7284, 12018, 18191, 1434, 12018, 18191, 1434, 295, 290, 33991, 538, 257, 8717, 47283, 3215, 50113, 6027], "avg_logprob": -0.1900000047683716, "compression_ratio": 1.188235294117647, "no_speech_prob": 0.0, "words": [{"start": 2334.79, "end": 2335.03, "word": "و", "probability": 0.67578125}, {"start": 2335.03, "end": 2335.19, "word": " الله", "probability": 0.81005859375}, {"start": 2335.19, "end": 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identity ايه المشكلة فيما بعد؟", "tokens": [9566, 1829, 3555, 45164, 12602, 2407, 5016, 8315, 10874, 1829, 3555, 8315, 497, 6055, 3794, 3615, 9957, 1975, 2407, 41435, 497, 6055, 3794, 3615, 9957, 295, 497, 3714, 36081, 9957, 4032, 35457, 3615, 9957, 7251, 3555, 4587, 7578, 497, 6055, 3794, 3615, 9957, 497, 3714, 36081, 9957, 4032, 35457, 3615, 9957, 497, 6055, 3794, 3615, 9957, 17340, 7251, 3555, 4587, 7578, 9122, 2304, 7649, 497, 3714, 36081, 9957, 4032, 35457, 3615, 9957, 5296, 33456, 3224, 47525, 1211, 8315, 16095, 20449, 45030, 11242, 4724, 7435, 1829, 3555, 8315, 2423, 6575, 1975, 1829, 3224, 9673, 8592, 28820, 3660, 8978, 15042, 39182, 22807], "avg_logprob": -0.17048268034906672, "compression_ratio": 1.8411764705882352, "no_speech_prob": 0.0, "words": [{"start": 2727.61, "end": 2728.13, "word": "طيب", "probability": 0.702880859375}, {"start": 2728.13, "end": 2728.39, "word": " لو", "probability": 0.9453125}, {"start": 2728.39, "end": 2728.83, "word": " روحنا", "probability": 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