diff --git "a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/cZhfo9e7d48_raw.json" "b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/cZhfo9e7d48_raw.json" new file mode 100644--- /dev/null +++ "b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/cZhfo9e7d48_raw.json" @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 4462, "start": 21.8, "end": 44.62, "text": "بسم الله الرحمن الرحيم المرة اللى فاتت انتهينا من chapter 6 كنظري والان فينا discussion لهذا ال chapter وعطيناكم مجموعة من الأسئلة أول سؤال كان سؤال اتنين قال لي هتل الautomorphism ل Z قال لي exercises", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 9673, 25720, 13672, 7578, 6156, 9307, 2655, 16472, 47395, 1829, 8315, 9154, 7187, 1386, 9122, 1863, 19913, 16572, 4032, 6027, 7649, 8978, 8315, 5017, 46740, 15730, 2423, 7187, 4032, 3615, 9566, 1829, 8315, 24793, 3714, 7435, 2304, 2407, 27884, 9154, 16247, 3794, 19986, 37977, 5551, 12610, 8608, 33604, 6027, 25961, 8608, 33604, 6027, 1975, 2655, 1863, 9957, 50239, 32239, 8032, 2655, 1211, 2423, 1375, 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"seek": 26431, "start": 241.87, "end": 264.31, "text": "طب خليني أسأل كمان سؤال مالهوش علاقة بسؤال الكتاب لكن يعتمد على اللي قدامنا هذه حد فيكم بقدر يقولي atomorphism ل Z ايزو مورفك ل مين؟ انصرين بس بد جروب فيها انصرين فقط لا غير", "tokens": [9566, 3555, 16490, 1211, 9957, 1829, 5551, 3794, 10721, 1211, 9122, 2304, 7649, 8608, 33604, 6027, 3714, 6027, 3224, 2407, 8592, 11203, 995, 28671, 4724, 3794, 33604, 6027, 33251, 2655, 16758, 44381, 7251, 34268, 2304, 3215, 15844, 13672, 1829, 12174, 3215, 10943, 8315, 29538, 11331, 3215, 8978, 24793, 4724, 28543, 2288, 7251, 39648, 1829, 12018, 18191, 1434, 5296, 1176, 1975, 1829, 11622, 2407, 3714, 13063, 5172, 4117, 5296, 3714, 9957, 22807, 16472, 9381, 2288, 9957, 4724, 3794, 47525, 10874, 32887, 3555, 8978, 11296, 16472, 9381, 2288, 9957, 6156, 47432, 20193, 32771, 13546], "avg_logprob": -0.2417674679909983, "compression_ratio": 1.5384615384615385, "no_speech_prob": 0.0, "words": [{"start": 241.87, "end": 242.13, "word": "طب", "probability": 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وبرأنها أنا بدي الـAutomorphism لـZ isomorphic لمين؟ بدي فيها عنصرين وسمعت أنت قبل قليل، مين؟ Z2", "tokens": [2407, 3224, 1829, 9154, 5551, 3555, 3794, 9566, 18863, 8315, 9381, 2288, 12399, 9673, 25720, 13672, 1829, 8978, 11296, 6055, 1863, 19913, 2288, 10632, 5551, 12984, 3555, 2655, 8315, 36145, 2423, 39184, 49769, 32702, 1434, 5296, 39184, 57, 45, 307, 32702, 299, 5296, 39184, 3979, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 4032, 26890, 10721, 1863, 11296, 41850, 4724, 16254, 2423, 39184, 49769, 32702, 1434, 5296, 39184, 57, 307, 32702, 299, 5296, 2304, 9957, 22807, 4724, 16254, 8978, 11296, 18871, 9381, 2288, 9957, 4032, 38251, 34268, 14739, 2655, 12174, 36150, 12174, 20292, 1211, 12399, 3714, 9957, 22807, 1176, 17], "avg_logprob": -0.22609374582767486, "compression_ratio": 1.6010362694300517, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 264.95, "end": 265.51, "word": "وهي", "probability": 0.8603515625}, {"start": 265.51, "end": 265.71, "word": " من", 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"probability": 0.67083740234375}, {"start": 274.21, "end": 275.45, "word": " مظبوط؟", "probability": 0.8792317708333334}, {"start": 275.45, "end": 276.19, "word": " وبرأنها", "probability": 0.758984375}, {"start": 276.19, "end": 276.97, "word": " أنا", "probability": 0.6015625}, {"start": 276.97, "end": 277.29, "word": " بدي", "probability": 0.6553955078125}, {"start": 277.29, "end": 278.47, "word": " الـAutomorphism", "probability": 0.86494140625}, {"start": 278.47, "end": 279.05, "word": " لـZ", "probability": 0.955078125}, {"start": 279.05, "end": 280.07, "word": " isomorphic", "probability": 0.892578125}, {"start": 280.07, "end": 280.63, "word": " لمين؟", "probability": 0.77587890625}, {"start": 280.63, "end": 280.89, "word": " بدي", "probability": 0.940673828125}, {"start": 280.89, "end": 281.23, "word": " فيها", "probability": 0.990234375}, {"start": 281.23, "end": 282.15, "word": " عنصرين", "probability": 0.9775390625}, {"start": 282.15, "end": 284.11, "word": " وسمعت", "probability": 0.7994791666666666}, {"start": 284.11, "end": 284.53, "word": " أنت", "probability": 0.729248046875}, {"start": 284.53, "end": 284.97, "word": " قبل", "probability": 0.9814453125}, {"start": 284.97, "end": 285.49, "word": " قليل،", "probability": 0.79278564453125}, {"start": 285.49, "end": 286.53, "word": " مين؟", "probability": 0.8875325520833334}, {"start": 286.53, "end": 287.25, "word": " Z2", "probability": 0.7392578125}], "temperature": 1.0}, {"id": 12, "seek": 30205, "start": 287.75, "end": 302.05, "text": "يبقى هنا اتومورفزم هذه زيادة لزد ايزو مورفك فقط لزد تو فقط لغير طب هذا كان السؤال الثاني", "tokens": [1829, 3555, 4587, 7578, 34105, 1975, 2655, 20498, 13063, 5172, 11622, 2304, 29538, 30767, 1829, 18513, 3660, 5296, 11622, 3215, 1975, 1829, 11622, 2407, 3714, 13063, 5172, 4117, 6156, 47432, 5296, 11622, 3215, 33427, 6156, 47432, 5296, 17082, 13546, 23032, 3555, 23758, 25961, 21136, 33604, 6027, 6024, 104, 7649, 1829], "avg_logprob": -0.21231617121135488, "compression_ratio": 1.485981308411215, "no_speech_prob": 0.0, "words": [{"start": 287.75, "end": 288.59, "word": "يبقى", "probability": 0.931640625}, {"start": 288.59, "end": 289.09, "word": " هنا", "probability": 0.9560546875}, {"start": 289.09, "end": 291.27, "word": " اتومورفزم", "probability": 0.6640973772321429}, {"start": 291.27, "end": 291.73, "word": " هذه", "probability": 0.450439453125}, {"start": 291.73, "end": 292.91, "word": " زيادة", "probability": 0.9498291015625}, {"start": 292.91, "end": 293.83, "word": " لزد", "probability": 0.8365885416666666}, {"start": 293.83, "end": 294.81, "word": " ايزو", "probability": 0.7568359375}, {"start": 294.81, "end": 295.39, "word": " مورفك", "probability": 0.9013671875}, {"start": 295.39, "end": 296.35, "word": " فقط", "probability": 0.9609375}, {"start": 296.35, "end": 297.27, "word": " لزد", "probability": 0.923828125}, {"start": 297.27, "end": 297.61, "word": " تو", "probability": 0.1434326171875}, {"start": 297.61, "end": 298.29, "word": " فقط", "probability": 0.974609375}, {"start": 298.29, "end": 298.95, "word": " لغير", "probability": 0.9303385416666666}, {"start": 298.95, "end": 300.09, "word": " طب", "probability": 0.769287109375}, {"start": 300.09, "end": 300.33, "word": " هذا", "probability": 0.92578125}, {"start": 300.33, "end": 300.69, "word": " كان", "probability": 0.99169921875}, {"start": 300.69, "end": 301.31, "word": " السؤال", "probability": 0.9807942708333334}, {"start": 301.31, "end": 302.05, "word": " الثاني", "probability": 0.9638671875}], "temperature": 1.0}, {"id": 13, "seek": 32335, "start": 304.27, "end": 323.35, "text": "السؤال اللى بعد السؤال الرابع بيقول لي ان U8 ليست isomorphic ل U10 يبقى السؤال الرابع U8 is not isomorphic ل U10 بدنا نثبت صحة هذا الكلام", "tokens": [6027, 3794, 33604, 6027, 13672, 7578, 39182, 21136, 33604, 6027, 34892, 16758, 3615, 4724, 1829, 39648, 32239, 16472, 624, 23, 32239, 14851, 307, 32702, 299, 5296, 624, 3279, 7251, 3555, 4587, 7578, 21136, 33604, 6027, 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0.697265625}, {"start": 309.19, "end": 309.95, "word": " ليست", "probability": 0.94091796875}, {"start": 309.95, "end": 311.11, "word": " isomorphic", "probability": 0.8478190104166666}, {"start": 311.11, "end": 311.29, "word": " ل", "probability": 0.884765625}, {"start": 311.29, "end": 312.21, "word": " U10", "probability": 0.85107421875}, {"start": 312.21, "end": 313.43, "word": " يبقى", "probability": 0.91943359375}, {"start": 313.43, "end": 314.01, "word": " السؤال", "probability": 0.99658203125}, {"start": 314.01, "end": 314.85, "word": " الرابع", "probability": 0.9890950520833334}, {"start": 314.85, "end": 316.11, "word": " U8", "probability": 0.94140625}, {"start": 316.11, "end": 317.15, "word": " is", "probability": 0.8916015625}, {"start": 317.15, "end": 317.77, "word": " not", "probability": 0.9697265625}, {"start": 317.77, "end": 319.69, "word": " isomorphic", "probability": 0.9485677083333334}, {"start": 319.69, "end": 319.95, "word": " ل", "probability": 0.97705078125}, {"start": 319.95, "end": 320.73, "word": " U10", "probability": 0.952392578125}, {"start": 320.73, "end": 321.25, "word": " بدنا", "probability": 0.779296875}, {"start": 321.25, "end": 321.73, "word": " نثبت", "probability": 0.994140625}, {"start": 321.73, "end": 322.21, "word": " صحة", "probability": 0.9749348958333334}, {"start": 322.21, "end": 322.67, "word": " هذا", "probability": 0.92578125}, {"start": 322.67, "end": 323.35, "word": " الكلام", "probability": 0.9449869791666666}], "temperature": 1.0}, {"id": 14, "seek": 34159, "start": 323.93, "end": 341.59, "text": "الان لو جيت لعناصر ال U8 هو عبارة عن واحد و تلاتة و خمسة و سبعة تمام؟ وعناصر ال U10 هو عبارة عن واحد و تلاتة و سبعة و تسعة", "tokens": [6027, 7649, 45164, 10874, 36081, 5296, 3615, 1863, 33546, 2288, 2423, 624, 23, 31439, 6225, 3555, 9640, 3660, 18871, 36764, 24401, 4032, 6055, 1211, 9307, 3660, 4032, 16490, 2304, 3794, 3660, 4032, 8608, 3555, 27884, 46811, 10943, 22807, 4032, 3615, 1863, 33546, 2288, 2423, 624, 3279, 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واحد", "probability": 0.94580078125}, {"start": 328.89, "end": 329.21, "word": " و", "probability": 0.92333984375}, {"start": 329.21, "end": 330.17, "word": " تلاتة", "probability": 0.8802490234375}, {"start": 330.17, "end": 330.39, "word": " و", "probability": 0.9970703125}, {"start": 330.39, "end": 331.11, "word": " خمسة", "probability": 0.9114990234375}, {"start": 331.11, "end": 331.25, "word": " و", "probability": 0.96240234375}, {"start": 331.25, "end": 332.17, "word": " سبعة", "probability": 0.8834635416666666}, {"start": 332.17, "end": 333.17, "word": " تمام؟", "probability": 0.7822265625}, {"start": 333.17, "end": 334.31, "word": " وعناصر", "probability": 0.9560546875}, {"start": 334.31, "end": 334.53, "word": " ال", "probability": 0.98583984375}, {"start": 334.53, "end": 335.49, "word": " U10", "probability": 0.967041015625}, {"start": 335.49, "end": 336.03, "word": " هو", "probability": 0.94970703125}, {"start": 336.03, "end": 336.63, "word": " عبارة", "probability": 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{"start": 353.06, "end": 353.72, "word": " و", "probability": 0.9912109375}, {"start": 353.72, "end": 354.12, "word": " غير", "probability": 0.764404296875}, {"start": 354.12, "end": 355.04, "word": " متحققة", "probability": 0.9625244140625}, {"start": 355.04, "end": 355.24, "word": " في", "probability": 0.91845703125}, {"start": 355.24, "end": 355.38, "word": " ال", "probability": 0.62109375}, {"start": 355.38, "end": 355.72, "word": " group", "probability": 0.92724609375}, {"start": 355.72, "end": 356.2, "word": " التاني", "probability": 0.8553059895833334}, {"start": 356.2, "end": 356.48, "word": " لو", "probability": 0.8369140625}, {"start": 356.48, "end": 356.82, "word": " جيت", "probability": 0.758056640625}, {"start": 356.82, "end": 357.28, "word": " ليه", "probability": 0.763427734375}, {"start": 357.28, "end": 358.14, "word": " تمانية", "probability": 0.8186848958333334}, {"start": 358.14, "end": 358.9, "word": " هل", "probability": 0.808837890625}, {"start": 358.9, "end": 359.62, "word": " التلاتة", "probability": 0.93212890625}, {"start": 359.62, "end": 360.0, "word": " هذا", "probability": 0.59130859375}, {"start": 360.0, "end": 361.36, "word": " generator؟", "probability": 0.825439453125}], "temperature": 1.0}, {"id": 16, "seek": 38777, "start": 362.09, "end": 387.77, "text": "تلاتة وزيرة بواحد، تلاتة وزيرة بواحد بتلاتة تلاتة تربيع اللي هو بتسعة خمسة تربيع اللي هو بواحد، سبعة تربيع اللي هو بواحد يبقى U تمانية Cyclic؟ لأ، U تمانية is not cyclic يعني مافيهاش ولا generator", "tokens": [2655, 1211, 9307, 3660, 4032, 11622, 13546, 3660, 4724, 14407, 24401, 12399, 6055, 1211, 9307, 3660, 4032, 11622, 13546, 3660, 4724, 14407, 24401, 39894, 1211, 9307, 3660, 6055, 1211, 9307, 3660, 6055, 2288, 21292, 3615, 13672, 1829, 31439, 39894, 3794, 27884, 16490, 2304, 3794, 3660, 6055, 2288, 21292, 3615, 13672, 1829, 31439, 4724, 14407, 24401, 12399, 8608, 3555, 27884, 6055, 2288, 21292, 3615, 13672, 1829, 31439, 4724, 14407, 24401, 7251, 3555, 4587, 7578, 624, 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{"start": 463.15, "end": 464.19, "word": " isomorphism", "probability": 0.91455078125}, {"start": 464.19, "end": 464.45, "word": " ما", "probability": 0.8046875}, {"start": 464.45, "end": 464.81, "word": " بين", "probability": 0.96142578125}, {"start": 464.81, "end": 465.59, "word": " الاتنين", "probability": 0.7640380859375}, {"start": 465.59, "end": 466.29, "word": " هذا", "probability": 0.5771484375}, {"start": 466.29, "end": 466.67, "word": " كان", "probability": 0.96826171875}, {"start": 466.67, "end": 467.23, "word": " السؤال", "probability": 0.9908854166666666}, {"start": 467.23, "end": 467.89, "word": " الرابع", "probability": 0.9933268229166666}, {"start": 467.89, "end": 468.01, "word": " و", "probability": 0.52978515625}, {"start": 468.01, "end": 468.35, "word": " بعدين", "probability": 0.785888671875}, {"start": 468.35, "end": 469.53, "word": " السؤال", "probability": 0.9886067708333334}, {"start": 469.53, "end": 470.41, "word": " السادس", "probability": 0.96923828125}, {"start": 470.41, "end": 472.21, "word": " G", "probability": 0.31201171875}, {"start": 472.21, "end": 473.33, "word": " isomorphic", "probability": 0.9226888020833334}, {"start": 473.33, "end": 473.47, "word": " ل", "probability": 0.87939453125}, {"start": 473.47, "end": 473.75, "word": " H", "probability": 0.54296875}, {"start": 473.75, "end": 473.97, "word": " و", "probability": 0.943359375}, {"start": 473.97, "end": 474.19, "word": " H", "probability": 0.85009765625}, {"start": 474.19, "end": 475.39, "word": " isomorphic", "probability": 0.9498697916666666}, {"start": 475.39, "end": 475.69, "word": " ل", "probability": 0.98193359375}, {"start": 475.69, "end": 476.21, "word": " K", "probability": 0.93017578125}, {"start": 476.21, "end": 477.71, "word": " السؤال", "probability": 0.9689127604166666}, {"start": 477.71, "end": 478.59, "word": " السادس", "probability": 0.9811197916666666}], "temperature": 1.0}, {"id": 21, "seek": 49339, "start": 479.75, "end": 493.39, "text": "عندك G isomorphic ل H و ال H isomorphic ل K بدنا نثبت ان ال G isomorphic لمن A ل K", "tokens": [3615, 41260, 4117, 460, 307, 32702, 299, 5296, 389, 4032, 2423, 389, 307, 32702, 299, 5296, 591, 47525, 8315, 8717, 12984, 3555, 2655, 16472, 2423, 460, 307, 32702, 299, 32767, 1863, 316, 5296, 591], "avg_logprob": -0.28683035203388757, "compression_ratio": 1.4266666666666667, "no_speech_prob": 0.0, "words": [{"start": 479.75, "end": 480.63, "word": "عندك", "probability": 0.9261067708333334}, {"start": 480.63, "end": 481.05, "word": " G", "probability": 0.3486328125}, {"start": 481.05, "end": 482.57, "word": " isomorphic", "probability": 0.8465169270833334}, {"start": 482.57, "end": 482.73, "word": " ل", "probability": 0.8740234375}, {"start": 482.73, "end": 483.17, "word": " H", "probability": 0.450439453125}, {"start": 483.17, "end": 483.79, "word": " و", "probability": 0.62060546875}, {"start": 483.79, "end": 483.99, "word": " ال", "probability": 0.17529296875}, {"start": 483.99, "end": 484.41, 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نفترض assume ان في of واحد من g إلى h is an isomorphism and وفي نفس الوقت في اتنين من ال h إلى k is an isomorphism", "tokens": [1829, 3555, 4587, 7578, 47525, 26108, 1829, 1975, 39648, 3827, 20449, 8315, 47395, 47525, 8315, 8717, 5172, 2655, 43042, 6552, 16472, 8978, 295, 36764, 24401, 9154, 290, 30731, 276, 307, 364, 307, 32702, 1434, 293, 4032, 41185, 8717, 36178, 2423, 30543, 2655, 8978, 1975, 2655, 1863, 9957, 9154, 2423, 276, 30731, 350, 307, 364, 307, 32702, 1434], "avg_logprob": -0.24973061732177076, "compression_ratio": 1.4370860927152318, "no_speech_prob": 0.0, "words": [{"start": 518.16, "end": 519.36, "word": "يبقى", "probability": 0.8590087890625}, {"start": 519.36, "end": 519.94, "word": " بداجي", "probability": 0.4756266276041667}, {"start": 519.94, "end": 520.36, "word": " اقول", "probability": 0.78857421875}, {"start": 520.36, "end": 521.64, "word": " solution", "probability": 0.94677734375}, {"start": 521.64, "end": 523.12, "word": " معناته", "probability": 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" تالي", "probability": 0.85107421875}, {"start": 556.69, "end": 556.93, "word": " هذه", "probability": 0.560546875}, {"start": 556.93, "end": 557.71, "word": " ملاتبج", "probability": 0.676806640625}, {"start": 557.71, "end": 558.69, "word": " isomorphism", "probability": 0.75341796875}, {"start": 558.69, "end": 559.75, "word": " مدام", "probability": 0.6953125}, {"start": 559.75, "end": 560.05, "word": " هذا", "probability": 0.6552734375}, {"start": 560.05, "end": 561.09, "word": " isomorphism", "probability": 0.9138997395833334}, {"start": 561.09, "end": 561.23, "word": " و", "probability": 0.5859375}, {"start": 561.23, "end": 561.57, "word": " هذا", "probability": 0.748046875}, {"start": 561.57, "end": 562.89, "word": " isomorphism", "probability": 0.9109700520833334}, {"start": 562.89, "end": 564.19, "word": " معناته", "probability": 0.9573567708333334}, {"start": 564.19, "end": 564.61, "word": " أن", "probability": 0.60302734375}, {"start": 564.61, "end": 565.35, "word": " 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"temperature": 1.0}, {"id": 25, "seek": 59241, "start": 577.46, "end": 592.42, "text": "يبقى في is one to one and unto معناه هذا الكلام ان ال composition تبعهم في two في one is one to one and unto في نفس الوقت", "tokens": [1829, 3555, 4587, 7578, 8978, 307, 472, 281, 472, 293, 16521, 20449, 8315, 3224, 23758, 2423, 28820, 10943, 16472, 2423, 12686, 6055, 3555, 3615, 16095, 8978, 732, 8978, 472, 307, 472, 281, 472, 293, 16521, 8978, 8717, 36178, 2423, 30543, 2655], "avg_logprob": -0.23437499467815673, "compression_ratio": 1.4137931034482758, "no_speech_prob": 0.0, "words": [{"start": 577.46, "end": 578.08, "word": "يبقى", "probability": 0.9071044921875}, {"start": 578.08, "end": 578.24, "word": " في", "probability": 0.5146484375}, {"start": 578.24, "end": 579.08, "word": " is", "probability": 0.08624267578125}, {"start": 579.08, "end": 579.48, "word": " one", "probability": 0.9345703125}, {"start": 579.48, "end": 579.68, "word": " to", "probability": 0.9130859375}, {"start": 579.68, "end": 580.02, "word": " one", "probability": 0.953125}, {"start": 580.02, "end": 580.42, "word": " and", "probability": 0.91552734375}, {"start": 580.42, "end": 580.82, "word": " unto", "probability": 0.313720703125}, {"start": 580.82, "end": 581.46, "word": " معناه", "probability": 0.7217610677083334}, {"start": 581.46, "end": 581.76, "word": " هذا", "probability": 0.7001953125}, {"start": 581.76, "end": 582.42, "word": " الكلام", "probability": 0.88525390625}, {"start": 582.42, "end": 582.7, "word": " ان", "probability": 0.5986328125}, {"start": 582.7, "end": 582.9, "word": " ال", "probability": 0.8076171875}, {"start": 582.9, "end": 583.72, "word": " composition", "probability": 0.9140625}, {"start": 583.72, "end": 584.76, "word": " تبعهم", "probability": 0.9327392578125}, {"start": 584.76, "end": 585.56, "word": " في", "probability": 0.86865234375}, {"start": 585.56, "end": 585.96, "word": " two", "probability": 0.57470703125}, {"start": 585.96, "end": 586.46, "word": " في", 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إلى K؟ Calculus أيه هذا؟ مالوش دعوة بالجبه أنا عندي في function من هنا لهنا يعني لو بجينا نقول لو أخدنا هذه ال G", "tokens": [9566, 1829, 3555, 11933, 15730, 23032, 1211, 3615, 8978, 568, 8978, 502, 6225, 3555, 9640, 3660, 18871, 307, 32702, 1434, 39894, 2304, 9673, 9566, 46152, 23032, 1829, 3555, 21136, 33604, 6027, 31439, 8032, 1211, 2423, 8978, 568, 8978, 502, 39896, 2445, 9154, 460, 30731, 591, 22807, 3511, 36002, 36632, 3224, 23758, 22807, 3714, 6027, 2407, 8592, 11778, 3615, 2407, 3660, 20666, 7435, 3555, 3224, 41850, 18871, 16254, 8978, 2445, 9154, 34105, 5296, 3224, 8315, 37495, 22653, 45164, 4724, 7435, 1829, 8315, 8717, 39648, 45164, 5551, 9778, 3215, 8315, 29538, 2423, 460], "avg_logprob": -0.23896059555851895, "compression_ratio": 1.5700934579439252, "no_speech_prob": 0.0, "words": [{"start": 593.68, "end": 594.1, "word": "طيب", "probability": 0.86962890625}, {"start": 594.1, "end": 594.44, "word": " إذا", "probability": 0.86865234375}, {"start": 594.44, "end": 594.9, 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"probability": 0.7279459635416666}, {"start": 613.84, "end": 614.5, "word": " يعني", "probability": 0.867431640625}, {"start": 614.5, "end": 614.98, "word": " لو", "probability": 0.95849609375}, {"start": 614.98, "end": 615.46, "word": " بجينا", "probability": 0.9666748046875}, {"start": 615.46, "end": 615.96, "word": " نقول", "probability": 0.903564453125}, {"start": 615.96, "end": 616.18, "word": " لو", "probability": 0.97265625}, {"start": 616.18, "end": 616.76, "word": " أخدنا", "probability": 0.9635009765625}, {"start": 616.76, "end": 617.22, "word": " هذه", "probability": 0.74951171875}, {"start": 617.22, "end": 617.48, "word": " ال", "probability": 0.63427734375}, {"start": 617.48, "end": 617.74, "word": " G", "probability": 0.8310546875}], "temperature": 1.0}, {"id": 27, "seek": 64020, "start": 618.06, "end": 640.2, "text": "و هذه ال H وهذه ال K من هنا لهنا في function اسمها في one و من هنا لهنا في function اسمها في two بدي function من الأولى للثانية فباخد ما لا باخد في two ل 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مباشرة يبقى أنا أثبتله أن FII و FII يبقى هنا", "tokens": [2407, 6027, 39184, 1783, 3714, 29245, 23328, 3660, 8978, 10874, 32887, 3555, 460, 7251, 3555, 4587, 7578, 4724, 16254, 37495, 9566, 1829, 22653, 6156, 47302, 4032, 7649, 295, 1783, 7251, 3555, 4587, 7578, 3714, 29245, 23328, 3660, 8978, 389, 11933, 15730, 29538, 20328, 9640, 2655, 9274, 4478, 8978, 48812, 27842, 2423, 39184, 479, 9503, 7251, 3555, 4587, 7578, 479, 9503, 39894, 28543, 2288, 6055, 10721, 49115, 25894, 11296, 46599, 6027, 2655, 6027, 1829, 4724, 9381, 13546, 479, 9503, 4032, 479, 40, 40, 39896, 2445, 9154, 3714, 9957, 22807, 9154, 460, 30731, 591, 3714, 3555, 33599, 25720, 7251, 3555, 4587, 7578, 41850, 5551, 12984, 3555, 2655, 43761, 14739, 479, 9503, 4032, 479, 40, 40, 7251, 3555, 4587, 7578, 34105], "avg_logprob": -0.3621323464297447, "compression_ratio": 1.6347826086956523, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 640.98, "end": 641.42, "word": "والـ", "probability": 0.3865559895833333}, 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"text": "طيب هذا لو كانت الـB موجبة كلامنا صح طب لو كانت الـB بـ0 يبقى باجي بقول له هذه الحالة الأولى الحالة الثانية لو كانت الـB تساوي 0 then بدي أخد الـA بواحد then", "tokens": [9566, 1829, 3555, 23758, 45164, 25961, 2655, 2423, 39184, 33, 3714, 29245, 49401, 28242, 10943, 8315, 20328, 5016, 23032, 3555, 45164, 25961, 2655, 2423, 39184, 33, 4724, 39184, 15, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 46740, 29538, 21542, 6027, 3660, 16247, 12610, 7578, 21542, 6027, 3660, 6024, 104, 7649, 10632, 45164, 25961, 2655, 2423, 39184, 33, 6055, 3794, 995, 45865, 1958, 550, 4724, 16254, 5551, 9778, 3215, 2423, 39184, 32, 4724, 14407, 24401, 550], "avg_logprob": -0.23457532165906367, "compression_ratio": 1.729032258064516, "no_speech_prob": 0.0, "words": [{"start": 1337.26, "end": 1337.66, "word": "طيب", "probability": 0.605224609375}, {"start": 1337.66, "end": 1338.02, "word": " هذا", "probability": 0.38525390625}, {"start": 1338.02, "end": 1338.22, "word": " لو", "probability": 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"probability": 0.9088541666666666}, {"start": 1345.14, "end": 1345.6, "word": " بقول", "probability": 0.893310546875}, {"start": 1345.6, "end": 1345.74, "word": " له", "probability": 0.32080078125}, {"start": 1345.74, "end": 1345.96, "word": " هذه", "probability": 0.4228515625}, {"start": 1345.96, "end": 1346.48, "word": " الحالة", "probability": 0.9529622395833334}, {"start": 1346.48, "end": 1346.9, "word": " الأولى", "probability": 0.9794921875}, {"start": 1346.9, "end": 1347.62, "word": " الحالة", "probability": 0.90771484375}, {"start": 1347.62, "end": 1348.34, "word": " الثانية", "probability": 0.9720458984375}, {"start": 1348.34, "end": 1349.14, "word": " لو", "probability": 0.9091796875}, {"start": 1349.14, "end": 1349.76, "word": " كانت", "probability": 0.988037109375}, {"start": 1349.76, "end": 1350.32, "word": " الـB", "probability": 0.9690755208333334}, {"start": 1350.32, "end": 1351.48, "word": " تساوي", "probability": 0.9395751953125}, {"start": 1351.48, "end": 1352.22, "word": " 0", "probability": 0.406982421875}, {"start": 1352.22, "end": 1353.2, "word": " then", "probability": 0.5927734375}, {"start": 1353.2, "end": 1356.6, "word": " بدي", "probability": 0.4461669921875}, {"start": 1356.6, "end": 1357.0, "word": " أخد", "probability": 0.85205078125}, {"start": 1357.0, "end": 1357.48, "word": " الـA", "probability": 0.8732096354166666}, {"start": 1357.48, "end": 1358.32, "word": " بواحد", "probability": 0.9814453125}, {"start": 1358.32, "end": 1359.58, "word": " then", "probability": 0.80810546875}], "temperature": 1.0}, {"id": 59, "seek": 137300, "start": 1360.26, "end": 1373.0, "text": "اللي هو ال zero هذا بده يساوي لين أو بده يساوي لغا ريتم الواحد للأساس عشرة كيف؟", "tokens": [6027, 20292, 31439, 2423, 4018, 23758, 47525, 3224, 7251, 3794, 995, 45865, 5296, 9957, 34051, 47525, 3224, 7251, 3794, 995, 45865, 5296, 17082, 995, 12602, 36081, 2304, 2423, 14407, 24401, 24976, 10721, 3794, 32277, 6225, 8592, 25720, 9122, 33911, 22807], "avg_logprob": -0.23094511613613222, "compression_ratio": 1.3269230769230769, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1360.26, "end": 1360.78, "word": "اللي", "probability": 0.8720703125}, {"start": 1360.78, "end": 1361.06, "word": " هو", "probability": 0.97265625}, {"start": 1361.06, "end": 1361.3, "word": " ال", "probability": 0.9384765625}, {"start": 1361.3, "end": 1361.76, "word": " zero", "probability": 0.5693359375}, {"start": 1361.76, "end": 1362.48, "word": " هذا", "probability": 0.87060546875}, {"start": 1362.48, "end": 1363.46, "word": " بده", "probability": 0.48797607421875}, {"start": 1363.46, "end": 1363.92, "word": " يساوي", "probability": 0.929931640625}, {"start": 1363.92, "end": 1364.54, "word": " لين", "probability": 0.6002197265625}, {"start": 1364.54, "end": 1364.94, "word": " أو", "probability": 0.65478515625}, {"start": 1364.94, "end": 1365.44, "word": " بده", "probability": 0.899658203125}, {"start": 1365.44, "end": 1365.84, "word": " يساوي", "probability": 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1383.85, "word": " عنها", "probability": 0.967041015625}, {"start": 1383.85, "end": 1384.87, "word": " مديش", "probability": 0.6728515625}, {"start": 1384.87, "end": 1385.59, "word": " غلبك", "probability": 0.8297526041666666}, {"start": 1385.59, "end": 1386.13, "word": " هذا", "probability": 0.65234375}, {"start": 1386.13, "end": 1386.97, "word": " log", "probability": 0.6748046875}, {"start": 1386.97, "end": 1388.13, "word": " X", "probability": 0.6259765625}, {"start": 1388.13, "end": 1389.15, "word": " للاساس", "probability": 0.8483072916666666}, {"start": 1389.15, "end": 1389.59, "word": " عشرة", "probability": 0.9264322916666666}, {"start": 1389.59, "end": 1390.15, "word": " خليها", "probability": 0.5967610677083334}, {"start": 1390.15, "end": 1390.45, "word": " هي", "probability": 0.82275390625}, {"start": 1390.45, "end": 1391.59, "word": " ماشي", "probability": 0.8211263020833334}, {"start": 1391.59, "end": 1392.25, "word": " ماهي", "probability": 0.7089029947916666}, {"start": 1392.25, "end": 1392.37, "word": " ال", "probability": 0.89453125}, {"start": 1392.37, "end": 1392.59, "word": " log", "probability": 0.921875}, {"start": 1392.59, "end": 1392.87, "word": " هي", "probability": 0.93896484375}, {"start": 1392.87, "end": 1393.11, "word": " ال", "probability": 0.787109375}, {"start": 1393.11, "end": 1393.35, "word": " لن", "probability": 0.61895751953125}, {"start": 1393.35, "end": 1393.63, "word": " بس", "probability": 0.98193359375}, {"start": 1393.63, "end": 1394.07, "word": " بتنضر", "probability": 0.7352294921875}, {"start": 1394.07, "end": 1394.27, "word": " في", "probability": 0.634765625}, {"start": 1394.27, "end": 1394.99, "word": " مقدار", "probability": 0.9716796875}, {"start": 1394.99, "end": 1395.83, "word": " ثابت", "probability": 0.9947916666666666}, {"start": 1395.83, "end": 1396.53, "word": " فقط", "probability": 0.986572265625}, {"start": 1396.53, "end": 1396.79, "word": " لا", "probability": 0.8662109375}, {"start": 1396.79, "end": 1397.23, "word": " غير", "probability": 0.974609375}], "temperature": 1.0}, {"id": 61, "seek": 142780, "start": 1398.26, "end": 1427.8, "text": "طيب يبقى صار ال zero بده يساوي log الواحد للأساس عشرة يعني هذا log ال a للأساس عشرة اللي هو بده يساوي في of a وال a تساوي واحد يبقى صارت في is onto طب لو كانت سالبة يبقى f ال b أقل من ال zero", "tokens": [9566, 1829, 3555, 7251, 3555, 4587, 7578, 20328, 9640, 2423, 4018, 47525, 3224, 7251, 3794, 995, 45865, 3565, 2423, 14407, 24401, 24976, 10721, 3794, 32277, 6225, 8592, 25720, 37495, 22653, 23758, 3565, 2423, 257, 24976, 10721, 3794, 32277, 6225, 8592, 25720, 13672, 1829, 31439, 47525, 3224, 7251, 3794, 995, 45865, 8978, 295, 257, 16070, 257, 6055, 3794, 995, 45865, 36764, 24401, 7251, 3555, 4587, 7578, 20328, 9640, 2655, 8978, 307, 3911, 23032, 3555, 45164, 25961, 2655, 8608, 6027, 49401, 7251, 3555, 4587, 7578, 283, 2423, 272, 5551, 4587, 1211, 9154, 2423, 4018], "avg_logprob": -0.2276545718152036, "compression_ratio": 1.802325581395349, 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"word": " يعني", "probability": 0.901611328125}, {"start": 1405.52, "end": 1406.04, "word": " هذا", "probability": 0.791015625}, {"start": 1406.04, "end": 1406.8, "word": " log", "probability": 0.60498046875}, {"start": 1406.8, "end": 1407.32, "word": " ال", "probability": 0.84375}, {"start": 1407.32, "end": 1407.7, "word": " a", "probability": 0.599609375}, {"start": 1407.7, "end": 1408.86, "word": " للأساس", "probability": 0.9788818359375}, {"start": 1408.86, "end": 1409.84, "word": " عشرة", "probability": 0.8759765625}, {"start": 1409.84, "end": 1410.46, "word": " اللي", "probability": 0.934326171875}, {"start": 1410.46, "end": 1410.6, "word": " هو", "probability": 0.84814453125}, {"start": 1410.6, "end": 1410.94, "word": " بده", "probability": 0.91259765625}, {"start": 1410.94, "end": 1411.5, "word": " يساوي", "probability": 0.98486328125}, {"start": 1411.5, "end": 1412.04, "word": " في", "probability": 0.3876953125}, {"start": 1412.04, "end": 1412.64, "word": " of", "probability": 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"end": 1661.54, "word": " is", "probability": 0.85498046875}, {"start": 1661.54, "end": 1662.82, "word": " abelian", "probability": 0.8538411458333334}, {"start": 1662.82, "end": 1663.46, "word": " الـG", "probability": 0.86328125}], "temperature": 1.0}, {"id": 71, "seek": 168664, "start": 1664.24, "end": 1686.64, "text": "as abelian الـ G is abelian شوفوا يا سيدي solution بيقول ال function اللي هي Alpha من G إلى G يعني Alpha هذه", "tokens": [296, 410, 338, 952, 2423, 39184, 460, 307, 410, 338, 952, 13412, 38688, 14407, 35186, 8608, 1829, 16254, 3827, 4724, 1829, 39648, 2423, 2445, 13672, 1829, 39896, 20588, 9154, 460, 30731, 460, 37495, 22653, 20588, 29538], "avg_logprob": -0.316300672453803, "compression_ratio": 1.2148760330578512, "no_speech_prob": 0.0, "words": [{"start": 1664.24, "end": 1665.34, "word": "as", "probability": 0.198974609375}, {"start": 1665.34, "end": 1666.52, "word": " abelian", "probability": 0.700927734375}, {"start": 1666.52, "end": 1668.82, "word": " الـ", "probability": 0.57275390625}, {"start": 1668.82, "end": 1668.98, "word": " G", "probability": 0.458251953125}, {"start": 1668.98, "end": 1669.72, "word": " is", "probability": 0.450927734375}, {"start": 1669.72, "end": 1670.56, "word": " abelian", "probability": 0.9444986979166666}, {"start": 1670.56, "end": 1671.94, "word": " شوفوا", "probability": 0.8177083333333334}, {"start": 1671.94, "end": 1672.1, "word": " يا", "probability": 0.55712890625}, {"start": 1672.1, "end": 1672.34, "word": " سيدي", "probability": 0.8120930989583334}, {"start": 1672.34, "end": 1675.38, "word": " solution", "probability": 0.8125}, {"start": 1675.38, "end": 1680.7, "word": " بيقول", "probability": 0.9152018229166666}, {"start": 1680.7, "end": 1680.88, "word": " ال", "probability": 0.91748046875}, {"start": 1680.88, "end": 1681.42, "word": " function", "probability": 0.68505859375}, {"start": 1681.42, "end": 1682.14, "word": " اللي", "probability": 0.90283203125}, {"start": 1682.14, "end": 1682.38, "word": " هي", "probability": 0.71435546875}, {"start": 1682.38, "end": 1682.8, "word": " Alpha", "probability": 0.26708984375}, {"start": 1682.8, "end": 1683.26, "word": " من", "probability": 0.9833984375}, {"start": 1683.26, "end": 1683.7, "word": " G", "probability": 0.95947265625}, {"start": 1683.7, "end": 1684.2, "word": " إلى", "probability": 0.86279296875}, {"start": 1684.2, "end": 1684.72, "word": " G", "probability": 0.94580078125}, {"start": 1684.72, "end": 1685.26, "word": " يعني", "probability": 0.923095703125}, {"start": 1685.26, "end": 1685.94, "word": " Alpha", "probability": 0.87353515625}, {"start": 1685.94, "end": 1686.64, "word": " هذه", "probability": 0.6337890625}], "temperature": 1.0}, {"id": 72, "seek": 169670, "start": 1687.14, "end": 1696.7, "text": "من جيه إلى جيه المعرفة alpha جيه ساوي جيه انفا سابارع ان اتومورفزم اذا كانت الجيه is abelian", "tokens": [27842, 10874, 1829, 3224, 30731, 10874, 1829, 3224, 9673, 3615, 28480, 3660, 8961, 10874, 1829, 3224, 8608, 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assume that ان ال alpha of g بده يساوي g inverse is an atomorphism ايش بده نثبت؟", "tokens": [4117, 19528, 3660, 498, 293, 787, 498, 37279, 22653, 16472, 2423, 26890, 3224, 1863, 8608, 1829, 9381, 13546, 8978, 1975, 2655, 7435, 40294, 9957, 6055, 5172, 4117, 13546, 47525, 3224, 1975, 32887, 5016, 1975, 9778, 3215, 22653, 1975, 2655, 7435, 40294, 1829, 42963, 12610, 6552, 300, 16472, 2423, 8961, 295, 290, 47525, 3224, 7251, 3794, 995, 45865, 290, 17340, 307, 364, 12018, 18191, 1434, 1975, 1829, 8592, 47525, 3224, 8717, 12984, 3555, 2655, 22807], "avg_logprob": -0.2960416785875956, "compression_ratio": 1.436046511627907, "no_speech_prob": 0.0, "words": [{"start": 1697.2, "end": 1697.8, "word": "كلمة", "probability": 0.8619791666666666}, {"start": 1697.8, "end": 1698.08, "word": " if", "probability": 0.3759765625}, {"start": 1698.08, "end": 1698.4, "word": " and", "probability": 0.9423828125}, {"start": 1698.4, "end": 1698.68, "word": " only", "probability": 0.91552734375}, {"start": 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is an isomorphism طيب بطء ولكن ال alpha of g واحد g اتنين", "tokens": [3224, 15730, 2423, 28820, 10943, 4724, 28543, 2288, 1975, 39648, 8961, 295, 290, 36764, 24401, 8978, 8961, 295, 290, 1975, 2655, 1863, 9957, 20328, 5016, 1829, 5016, 23758, 35186, 13412, 3555, 16758, 20328, 5016, 1829, 5016, 5296, 7649, 1975, 8315, 6156, 43042, 16472, 8961, 6225, 3555, 9640, 3660, 18871, 1975, 1829, 8592, 12018, 18191, 1434, 37495, 22653, 1975, 1829, 11622, 2407, 3714, 13063, 41185, 11622, 2304, 23758, 2423, 28820, 10943, 20328, 5016, 1829, 5016, 1670, 8961, 307, 364, 307, 32702, 1434, 23032, 1829, 3555, 4724, 9566, 38207, 35525, 19452, 2423, 8961, 295, 290, 36764, 24401, 290, 1975, 2655, 1863, 9957], "avg_logprob": -0.1871905999608559, "compression_ratio": 1.7772020725388602, "no_speech_prob": 0.0, "words": [{"start": 1744.72, "end": 1745.22, "word": "هذا", "probability": 0.930419921875}, {"start": 1745.22, "end": 1745.74, "word": " الكلام", "probability": 0.9441731770833334}, {"start": 1745.74, 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اللي", "probability": 0.873046875}, {"start": 1878.69, "end": 1879.49, "word": " موجودات", "probability": 0.92041015625}, {"start": 1879.49, "end": 1879.93, "word": " فيه", "probability": 0.748046875}, {"start": 1879.93, "end": 1880.19, "word": " جي", "probability": 0.913330078125}, {"start": 1880.19, "end": 1881.05, "word": " ايش", "probability": 0.7646484375}, {"start": 1881.05, "end": 1881.41, "word": " معنى", "probability": 0.9318033854166666}, {"start": 1881.41, "end": 1881.63, "word": " هذا", "probability": 0.96435546875}, {"start": 1881.63, "end": 1882.53, "word": " الكلام", "probability": 0.9524739583333334}, {"start": 1882.53, "end": 1883.71, "word": " انه", "probability": 0.6243896484375}, {"start": 1883.71, "end": 1884.05, "word": " جي", "probability": 0.848876953125}, {"start": 1884.05, "end": 1884.35, "word": " is", "probability": 0.84619140625}, {"start": 1884.35, "end": 1884.65, "word": " a", "probability": 0.841796875}, {"start": 1884.65, "end": 1884.99, "word": " billion", "probability": 0.8837890625}], "temperature": 1.0}, {"id": 80, "seek": 191288, "start": 1885.58, "end": 1912.88, "text": "يبقى هنا الـ g is abelian الان هذا الاتجاه الأول بروح نقوله conversely assume افترض that ان الـ g is abelian افترض ان الـ g is abelian ايش بده نثبت؟", "tokens": [1829, 3555, 4587, 7578, 34105, 2423, 39184, 290, 307, 410, 338, 952, 2423, 7649, 23758, 2423, 9307, 7435, 40294, 16247, 12610, 4724, 32887, 5016, 8717, 39648, 3224, 2615, 736, 6552, 1975, 5172, 2655, 43042, 300, 16472, 2423, 39184, 290, 307, 410, 338, 952, 1975, 5172, 2655, 43042, 16472, 2423, 39184, 290, 307, 410, 338, 952, 1975, 1829, 8592, 47525, 3224, 8717, 12984, 3555, 2655, 22807], "avg_logprob": -0.2443181745933764, "compression_ratio": 1.528169014084507, "no_speech_prob": 0.0, "words": [{"start": 1885.58, "end": 1886.34, "word": "يبقى", "probability": 0.928466796875}, {"start": 1886.34, "end": 1886.76, "word": " هنا", "probability": 0.9755859375}, {"start": 1886.76, "end": 1888.52, "word": " الـ", "probability": 0.5450439453125}, {"start": 1888.52, "end": 1888.7, "word": " g", "probability": 0.201904296875}, {"start": 1888.7, "end": 1890.22, "word": " is", "probability": 0.81103515625}, {"start": 1890.22, "end": 1891.48, "word": " abelian", "probability": 0.888671875}, {"start": 1891.48, "end": 1892.72, "word": " الان", "probability": 0.5743408203125}, {"start": 1892.72, "end": 1893.0, "word": " هذا", "probability": 0.6650390625}, {"start": 1893.0, "end": 1893.68, "word": " الاتجاه", "probability": 0.9083251953125}, {"start": 1893.68, "end": 1894.1, "word": " الأول", "probability": 0.831298828125}, {"start": 1894.1, "end": 1894.58, "word": " بروح", "probability": 0.8313802083333334}, {"start": 1894.58, "end": 1895.34, "word": " نقوله", "probability": 0.6092936197916666}, {"start": 1895.34, "end": 1897.6, "word": " conversely", "probability": 0.8671875}, {"start": 1897.6, "end": 1899.22, "word": " assume", "probability": 0.52978515625}, {"start": 1899.22, "end": 1900.88, "word": " افترض", "probability": 0.85552978515625}, {"start": 1900.88, "end": 1902.1, "word": " that", "probability": 0.50146484375}, {"start": 1902.1, "end": 1902.98, "word": " ان", "probability": 0.492919921875}, {"start": 1902.98, "end": 1903.42, "word": " الـ", "probability": 0.69482421875}, {"start": 1903.42, "end": 1903.92, "word": " g", "probability": 0.84765625}, {"start": 1903.92, "end": 1904.92, "word": " is", "probability": 0.93310546875}, {"start": 1904.92, "end": 1906.72, "word": " abelian", "probability": 0.970703125}, {"start": 1906.72, "end": 1910.02, "word": " افترض", "probability": 0.977294921875}, {"start": 1910.02, "end": 1910.24, "word": " ان", "probability": 0.93359375}, {"start": 1910.24, "end": 1910.5, "word": " الـ", "probability": 0.923828125}, {"start": 1910.5, "end": 1910.68, "word": " g", "probability": 0.9072265625}, {"start": 1910.68, "end": 1911.1, "word": " is", "probability": 0.880859375}, {"start": 1911.1, "end": 1911.54, "word": " abelian", "probability": 0.9689127604166666}, {"start": 1911.54, "end": 1911.88, "word": " ايش", "probability": 0.7431640625}, {"start": 1911.88, "end": 1912.14, "word": " بده", "probability": 0.7998046875}, {"start": 1912.14, "end": 1912.88, "word": " نثبت؟", "probability": 0.9337890625}], "temperature": 1.0}, {"id": 81, "seek": 193977, "start": 1915.09, "end": 1939.77, "text": "هذا isomorphism يعني بدي أثبت انه one to one وانتوا ويخدم خاصية مين ال isomorphism بعدين بقوله كويس يبقى بدي أروح أخدله اللي هو ال alpha is one to one بدي أحاول أثبتها لذلك بدي أقوله assume", "tokens": [3224, 15730, 307, 32702, 1434, 37495, 22653, 4724, 16254, 5551, 12984, 3555, 2655, 16472, 3224, 472, 281, 472, 4032, 7649, 2655, 14407, 4032, 1829, 9778, 40448, 16490, 33546, 10632, 3714, 9957, 2423, 307, 32702, 1434, 39182, 9957, 4724, 39648, 3224, 9122, 45865, 3794, 7251, 3555, 4587, 7578, 4724, 16254, 5551, 32887, 5016, 5551, 9778, 3215, 43761, 13672, 1829, 31439, 2423, 8961, 307, 472, 281, 472, 4724, 16254, 5551, 5016, 995, 12610, 5551, 12984, 3555, 2655, 11296, 5296, 8848, 23275, 4724, 16254, 5551, 39648, 3224, 6552], "avg_logprob": -0.20748546563608702, "compression_ratio": 1.6820809248554913, "no_speech_prob": 0.0, "words": [{"start": 1915.09, "end": 1915.57, "word": "هذا", "probability": 0.85400390625}, {"start": 1915.57, "end": 1916.67, "word": " isomorphism", "probability": 0.65423583984375}, {"start": 1916.67, "end": 1917.39, "word": " يعني", "probability": 0.864501953125}, {"start": 1917.39, "end": 1917.71, "word": " بدي", "probability": 0.53607177734375}, {"start": 1917.71, "end": 1918.19, "word": " أثبت", "probability": 0.92138671875}, {"start": 1918.19, "end": 1918.43, "word": " انه", "probability": 0.5928955078125}, {"start": 1918.43, "end": 1918.65, "word": " one", "probability": 0.75927734375}, {"start": 1918.65, "end": 1918.93, "word": " to", "probability": 0.85546875}, {"start": 1918.93, "end": 1919.31, "word": " one", "probability": 0.955078125}, {"start": 1919.31, "end": 1920.69, "word": " وانتوا", "probability": 0.70159912109375}, {"start": 1920.69, "end": 1921.31, "word": " ويخدم", "probability": 0.908935546875}, {"start": 1921.31, "end": 1922.01, "word": " خاصية", "probability": 0.9493815104166666}, {"start": 1922.01, "end": 1922.47, "word": " مين", "probability": 0.6551513671875}, {"start": 1922.47, "end": 1923.15, "word": " ال", "probability": 0.67431640625}, {"start": 1923.15, "end": 1924.37, "word": " isomorphism", "probability": 0.8857421875}, {"start": 1924.37, "end": 1925.39, "word": " بعدين", "probability": 0.603759765625}, {"start": 1925.39, "end": 1925.97, "word": " بقوله", "probability": 0.87744140625}, {"start": 1925.97, "end": 1926.69, "word": " كويس", "probability": 0.9431966145833334}, {"start": 1926.69, "end": 1927.85, "word": " يبقى", "probability": 0.876953125}, {"start": 1927.85, "end": 1928.19, "word": " بدي", "probability": 0.77783203125}, {"start": 1928.19, "end": 1928.65, "word": " أروح", "probability": 0.8497721354166666}, {"start": 1928.65, "end": 1929.67, "word": " أخدله", "probability": 0.856201171875}, {"start": 1929.67, "end": 1930.43, "word": " اللي", "probability": 0.917724609375}, {"start": 1930.43, "end": 1930.75, "word": " هو", "probability": 0.9833984375}, {"start": 1930.75, "end": 1930.99, "word": " ال", "probability": 0.8466796875}, {"start": 1930.99, "end": 1931.65, "word": " alpha", "probability": 0.8154296875}, {"start": 1931.65, "end": 1932.51, "word": " is", "probability": 0.90576171875}, {"start": 1932.51, "end": 1933.03, "word": " one", "probability": 0.95703125}, {"start": 1933.03, "end": 1933.45, "word": " to", "probability": 0.97314453125}, {"start": 1933.45, "end": 1934.25, "word": " one", "probability": 0.9560546875}, {"start": 1934.25, "end": 1935.75, "word": " بدي", "probability": 0.83740234375}, {"start": 1935.75, "end": 1936.15, "word": " أحاول", "probability": 0.962158203125}, {"start": 1936.15, "end": 1936.93, "word": " أثبتها", "probability": 0.972265625}, {"start": 1936.93, "end": 1938.05, "word": " لذلك", "probability": 0.9324544270833334}, {"start": 1938.05, "end": 1938.31, "word": " بدي", "probability": 0.9619140625}, {"start": 1938.31, "end": 1938.87, "word": " أقوله", "probability": 0.880859375}, {"start": 1938.87, "end": 1939.77, "word": " assume", "probability": 0.783203125}], "temperature": 1.0}, {"id": 82, "seek": 195928, "start": 1941.18, "end": 1959.28, "text": "افترض ان alpha of G1 يساوي alpha of G2 اذا قدرت اثبت له ان G1 يساوي G2 يكون اثبتنا انها alpha one to one", "tokens": [995, 5172, 2655, 43042, 16472, 8961, 295, 460, 16, 7251, 3794, 995, 45865, 8961, 295, 460, 17, 1975, 15730, 12174, 3215, 43500, 1975, 12984, 3555, 2655, 46740, 16472, 460, 16, 7251, 3794, 995, 45865, 460, 17, 7251, 30544, 1975, 12984, 3555, 2655, 8315, 16472, 11296, 8961, 472, 281, 472], "avg_logprob": -0.31124999761581423, "compression_ratio": 1.3761467889908257, "no_speech_prob": 0.0, "words": [{"start": 1941.18, "end": 1942.28, "word": "افترض", "probability": 0.747467041015625}, {"start": 1942.28, "end": 1943.12, "word": " ان", "probability": 0.86767578125}, {"start": 1943.12, "end": 1944.0, "word": " alpha", "probability": 0.196044921875}, {"start": 1944.0, "end": 1944.82, "word": " of", "probability": 0.88818359375}, {"start": 1944.82, "end": 1945.72, "word": " G1", "probability": 0.756103515625}, {"start": 1945.72, "end": 1947.02, "word": " يساوي", "probability": 0.548736572265625}, {"start": 1947.02, "end": 1947.68, "word": " alpha", "probability": 0.74951171875}, {"start": 1947.68, "end": 1948.4, "word": " of", "probability": 0.94873046875}, {"start": 1948.4, "end": 1949.26, "word": " G2", "probability": 0.9951171875}, {"start": 1949.26, "end": 1950.42, "word": " اذا", "probability": 0.852294921875}, {"start": 1950.42, "end": 1950.86, "word": " قدرت", "probability": 0.733154296875}, {"start": 1950.86, "end": 1951.42, "word": " اثبت", "probability": 0.923583984375}, {"start": 1951.42, "end": 1951.58, "word": " له", "probability": 0.2420654296875}, {"start": 1951.58, "end": 1951.78, "word": " ان", "probability": 0.88525390625}, {"start": 1951.78, "end": 1952.52, "word": " G1", "probability": 0.955810546875}, {"start": 1952.52, "end": 1953.66, "word": " يساوي", "probability": 0.948974609375}, {"start": 1953.66, "end": 1954.46, "word": " G2", "probability": 0.989013671875}, {"start": 1954.46, "end": 1954.92, "word": " يكون", "probability": 0.556640625}, {"start": 1954.92, "end": 1956.96, "word": " اثبتنا", "probability": 0.8861328125}, {"start": 1956.96, "end": 1957.32, "word": " انها", "probability": 0.77294921875}, {"start": 1957.32, "end": 1957.82, "word": " alpha", "probability": 0.66259765625}, {"start": 1957.82, "end": 1958.36, "word": " one", "probability": 0.615234375}, {"start": 1958.36, "end": 1958.74, "word": " to", "probability": 0.8642578125}, {"start": 1958.74, "end": 1959.28, "word": " one", "probability": 0.9521484375}], "temperature": 1.0}, {"id": 83, "seek": 199013, "start": 1963.29, "end": 1990.13, "text": "حسب التعريف alpha of G1 إيش بتبقى G1 inverse و alpha of G2 بصير G2 inverse إيش رأيك بدي أضرب من جهة اليمين في G2 يبقى إيش بصير G1 inverse G2 بدي أسوأ ال identity صح؟", "tokens": [5016, 35457, 16712, 3615, 16572, 5172, 8961, 295, 460, 16, 11933, 1829, 8592, 39894, 3555, 4587, 7578, 460, 16, 17340, 4032, 8961, 295, 460, 17, 4724, 9381, 13546, 460, 17, 17340, 11933, 1829, 8592, 12602, 10721, 1829, 4117, 4724, 16254, 5551, 11242, 25513, 9154, 10874, 3224, 3660, 2423, 32640, 9957, 8978, 460, 17, 7251, 3555, 4587, 7578, 11933, 1829, 8592, 4724, 9381, 13546, 460, 16, 17340, 460, 17, 4724, 16254, 5551, 3794, 2407, 10721, 2423, 6575, 20328, 5016, 22807], "avg_logprob": -0.17597656771540643, "compression_ratio": 1.460122699386503, "no_speech_prob": 0.0, "words": [{"start": 1963.29, "end": 1963.83, "word": "حسب", "probability": 0.878173828125}, {"start": 1963.83, "end": 1964.59, "word": " التعريف", "probability": 0.98681640625}, {"start": 1964.59, "end": 1964.99, "word": " alpha", "probability": 0.4501953125}, {"start": 1964.99, "end": 1965.43, "word": " of", "probability": 0.95751953125}, {"start": 1965.43, "end": 1965.93, "word": " G1", "probability": 0.742919921875}, {"start": 1965.93, "end": 1966.27, "word": " إيش", "probability": 0.695556640625}, {"start": 1966.27, "end": 1967.05, "word": " بتبقى", "probability": 0.9080810546875}, {"start": 1967.05, "end": 1968.23, "word": " G1", "probability": 0.768798828125}, {"start": 1968.23, "end": 1968.79, "word": " inverse", "probability": 0.7919921875}, {"start": 1968.79, "end": 1969.05, "word": " و", "probability": 0.646484375}, {"start": 1969.05, "end": 1969.43, "word": " alpha", "probability": 0.6708984375}, {"start": 1969.43, "end": 1969.91, "word": " of", "probability": 0.9814453125}, {"start": 1969.91, "end": 1970.69, "word": " G2", "probability": 0.98828125}, {"start": 1970.69, "end": 1971.73, "word": " بصير", "probability": 0.7406412760416666}, {"start": 1971.73, "end": 1973.15, "word": " G2", "probability": 0.9775390625}, {"start": 1973.15, "end": 1973.87, "word": " inverse", "probability": 0.8310546875}, {"start": 1973.87, "end": 1974.89, "word": " إيش", "probability": 0.8826497395833334}, {"start": 1974.89, "end": 1975.33, "word": " رأيك", "probability": 0.9659423828125}, {"start": 1975.33, "end": 1975.65, "word": " بدي", "probability": 0.687744140625}, {"start": 1975.65, "end": 1976.21, "word": " أضرب", "probability": 0.9620768229166666}, {"start": 1976.21, "end": 1976.47, "word": " من", "probability": 0.982421875}, {"start": 1976.47, "end": 1976.93, "word": " جهة", "probability": 0.98974609375}, {"start": 1976.93, "end": 1977.57, "word": " اليمين", "probability": 0.89111328125}, {"start": 1977.57, "end": 1977.85, "word": " في", "probability": 0.966796875}, {"start": 1977.85, "end": 1978.97, "word": " G2", "probability": 0.984130859375}, {"start": 1978.97, "end": 1980.49, "word": " يبقى", "probability": 0.9000244140625}, {"start": 1980.49, "end": 1980.55, "word": " إيش", "probability": 0.982421875}, {"start": 1980.55, "end": 1981.21, "word": " بصير", "probability": 0.9729817708333334}, {"start": 1981.21, "end": 1983.25, "word": " G1", "probability": 0.85009765625}, {"start": 1983.25, "end": 1984.41, "word": " inverse", "probability": 0.85791015625}, {"start": 1984.41, "end": 1986.11, "word": " G2", "probability": 0.90576171875}, {"start": 1986.11, "end": 1986.55, "word": " بدي", "probability": 0.6640625}, {"start": 1986.55, "end": 1986.89, "word": " أسوأ", "probability": 0.690673828125}, {"start": 1986.89, "end": 1987.03, "word": " ال", "probability": 0.943359375}, {"start": 1987.03, "end": 1987.79, "word": " identity", "probability": 0.8544921875}, {"start": 1987.79, "end": 1990.13, "word": " صح؟", "probability": 0.90673828125}], "temperature": 1.0}, {"id": 84, "seek": 201323, "start": 1991.11, "end": 2013.23, "text": "طب بدى اضرب من جهة الشمال في G1 يبقى هذا معناته انه G2 بده يساوي ال G1 اظن و هو المطلوب طيب ضايق نثبت علينا الآن ان ال alpha هذه is 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" أخيرا", "probability": 0.8328857421875}, {"start": 2151.44, "end": 2153.0, "word": " بدي", "probability": 0.572998046875}, {"start": 2153.0, "end": 2153.4, "word": " أخد", "probability": 0.9095052083333334}, {"start": 2153.4, "end": 2154.18, "word": " alpha", "probability": 0.86376953125}, {"start": 2154.18, "end": 2154.96, "word": " of", "probability": 0.986328125}], "temperature": 1.0}, {"id": 90, "seek": 218173, "start": 2155.95, "end": 2181.73, "text": "G1 G2 يساوي اللي هو ال G1 G2 كله inverse تمام؟ يبقى هذا بده يعطيني G2 inverse G1 inverse السؤال هو هل هذا G1 inverse G2 inverse قلب توضعها؟", "tokens": [38, 16, 460, 17, 7251, 3794, 995, 45865, 13672, 1829, 31439, 2423, 460, 16, 460, 17, 28242, 3224, 17340, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 7251, 3615, 9566, 9957, 1829, 460, 17, 17340, 460, 16, 17340, 21136, 33604, 6027, 31439, 8032, 1211, 23758, 460, 16, 17340, 460, 17, 17340, 12174, 46152, 33427, 11242, 3615, 11296, 22807], "avg_logprob": 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{"start": 2167.41, "end": 2167.93, "word": " يبقى", "probability": 0.951171875}, {"start": 2167.93, "end": 2168.25, "word": " هذا", "probability": 0.88525390625}, {"start": 2168.25, "end": 2168.69, "word": " بده", "probability": 0.5576171875}, {"start": 2168.69, "end": 2169.33, "word": " يعطيني", "probability": 0.747216796875}, {"start": 2169.33, "end": 2170.69, "word": " G2", "probability": 0.96435546875}, {"start": 2170.69, "end": 2171.75, "word": " inverse", "probability": 0.830078125}, {"start": 2171.75, "end": 2173.03, "word": " G1", "probability": 0.978271484375}, {"start": 2173.03, "end": 2173.93, "word": " inverse", "probability": 0.845703125}, {"start": 2173.93, "end": 2174.87, "word": " السؤال", "probability": 0.98876953125}, {"start": 2174.87, "end": 2175.17, "word": " هو", "probability": 0.98828125}, {"start": 2175.17, "end": 2176.31, "word": " هل", "probability": 0.961181640625}, {"start": 2176.31, "end": 2176.81, "word": " هذا", "probability": 0.8681640625}, {"start": 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alpha انا ماخدها من G الى G ان ال alpha عبارة عن atomorphism thus ال alpha is an atomorphism", "tokens": [2407, 6027, 2655, 7649, 1829, 8961, 295, 460, 17, 7251, 3555, 4587, 7578, 4735, 8961, 295, 460, 16, 460, 17, 31439, 8961, 295, 460, 16, 460, 17, 44945, 16606, 16472, 25894, 2423, 8961, 1975, 8315, 3714, 47283, 3215, 11296, 9154, 460, 2423, 7578, 460, 16472, 2423, 8961, 6225, 3555, 9640, 3660, 18871, 12018, 18191, 1434, 8807, 2423, 8961, 307, 364, 12018, 18191, 1434], "avg_logprob": -0.21557617094367743, "compression_ratio": 1.5492957746478873, "no_speech_prob": 0.0, "words": [{"start": 2207.54, "end": 2208.46, "word": "والتاني", "probability": 0.8505859375}, {"start": 2208.46, "end": 2209.08, "word": " alpha", "probability": 0.390625}, {"start": 2209.08, "end": 2210.02, "word": " of", "probability": 0.9541015625}, {"start": 2210.02, "end": 2211.04, "word": " G2", "probability": 0.611328125}, {"start": 2211.04, "end": 2212.0, "word": " يبقى", "probability": 0.954833984375}, 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but", "probability": 0.78662109375}, {"start": 2287.6, "end": 2288.82, "word": " ولكن", "probability": 0.78466796875}], "temperature": 1.0}, {"id": 94, "seek": 231800, "start": 2289.56, "end": 2318.0, "text": "ولكن الـ Atomorphism لـ G isomorphic للـ Atomorphism بطل Atomorphism لل G isomorphic لل Atomorphism لل H لل Atomorphism لل H اللي عندنا هذا القصة بسيطة جدا", "tokens": [12610, 19452, 2423, 39184, 1711, 32702, 1434, 5296, 39184, 460, 307, 32702, 299, 24976, 39184, 1711, 32702, 1434, 4724, 9566, 1211, 1711, 32702, 1434, 24976, 460, 307, 32702, 299, 24976, 1711, 32702, 1434, 24976, 389, 24976, 1711, 32702, 1434, 24976, 389, 13672, 1829, 43242, 8315, 23758, 25062, 9381, 3660, 4724, 3794, 1829, 9566, 3660, 10874, 28259], "avg_logprob": -0.3034539390028569, "compression_ratio": 1.8636363636363635, "no_speech_prob": 0.0, "words": [{"start": 2289.56, "end": 2290.6, "word": "ولكن", "probability": 0.7330322265625}, {"start": 2290.6, "end": 2290.84, "word": " الـ", "probability": 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2305.24, "word": " لل", "probability": 0.9560546875}, {"start": 2305.24, "end": 2307.02, "word": " Atomorphism", "probability": 0.84033203125}, {"start": 2307.02, "end": 2307.44, "word": " لل", "probability": 0.93212890625}, {"start": 2307.44, "end": 2308.06, "word": " H", "probability": 0.93896484375}, {"start": 2308.06, "end": 2309.06, "word": " لل", "probability": 0.8056640625}, {"start": 2309.06, "end": 2311.14, "word": " Atomorphism", "probability": 0.9010416666666666}, {"start": 2311.14, "end": 2311.7, "word": " لل", "probability": 0.93994140625}, {"start": 2311.7, "end": 2312.1, "word": " H", "probability": 0.94970703125}, {"start": 2312.1, "end": 2312.42, "word": " اللي", "probability": 0.73486328125}, {"start": 2312.42, "end": 2312.96, "word": " عندنا", "probability": 0.7139892578125}, {"start": 2312.96, "end": 2313.52, "word": " هذا", "probability": 0.374267578125}, {"start": 2313.52, "end": 2317.2, "word": " القصة", "probability": 0.8388671875}, {"start": 2317.2, "end": 2317.7, "word": " بسيطة", "probability": 0.9931640625}, {"start": 2317.7, "end": 2318.0, "word": " جدا", "probability": 0.98681640625}], "temperature": 1.0}, {"id": 95, "seek": 234598, "start": 2318.72, "end": 2345.98, "text": "و لا نبعد كثير و نحاول نستخدم ما درسناه في آخر نظرية أخدناها في الشبتر آخر نظرية قلنا atomorphic ل ZN ايزو مورفك لمين لل UN الآن لو جيت قلت لك أخدت solution لو أخدت ال G تساوي ال Z6 and", "tokens": [2407, 20193, 8717, 3555, 22488, 9122, 12984, 13546, 4032, 8717, 5016, 995, 12610, 8717, 14851, 9778, 40448, 19446, 11778, 2288, 3794, 8315, 3224, 8978, 19753, 34740, 8717, 19913, 2288, 10632, 5551, 9778, 3215, 8315, 11296, 8978, 25124, 3555, 2655, 2288, 19753, 34740, 8717, 19913, 2288, 10632, 12174, 1211, 8315, 12018, 18191, 299, 5296, 1176, 45, 1975, 1829, 11622, 2407, 3714, 13063, 5172, 4117, 32767, 9957, 24976, 8229, 6024, 48506, 45164, 10874, 36081, 12174, 1211, 2655, 5296, 4117, 5551, 9778, 3215, 2655, 3827, 45164, 5551, 9778, 3215, 2655, 2423, 460, 6055, 3794, 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2341.88, "word": " أخدت", "probability": 0.9647216796875}, {"start": 2341.88, "end": 2342.16, "word": " ال", "probability": 0.78173828125}, {"start": 2342.16, "end": 2342.46, "word": " G", "probability": 0.63134765625}, {"start": 2342.46, "end": 2343.44, "word": " تساوي", "probability": 0.81884765625}, {"start": 2343.44, "end": 2343.76, "word": " ال", "probability": 0.49853515625}, {"start": 2343.76, "end": 2344.94, "word": " Z6", "probability": 0.7421875}, {"start": 2344.94, "end": 2345.98, "word": " and", "probability": 0.75732421875}], "temperature": 1.0}, {"id": 96, "seek": 236979, "start": 2346.79, "end": 2369.79, "text": "الـ H اللي هي بدها تساوي الـ Z دي ثلاثة هل الاتنين هذول are isomorphic؟ لأن هذه فيها ست عناصر و هذه فيها كدهش؟ تلاتة يبقى then ال then ال order اللي هجيه بده يساوي ستة", "tokens": [6027, 39184, 389, 13672, 1829, 39896, 47525, 11296, 6055, 3794, 995, 45865, 2423, 39184, 1176, 11778, 1829, 38637, 1211, 5718, 104, 3660, 8032, 1211, 2423, 9307, 1863, 9957, 8032, 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ست", "probability": 0.94921875}, {"start": 2356.81, "end": 2357.35, "word": " عناصر", "probability": 0.9794921875}, {"start": 2357.35, "end": 2357.45, "word": " و", "probability": 0.47216796875}, {"start": 2357.45, "end": 2357.61, "word": " هذه", "probability": 0.7353515625}, {"start": 2357.61, "end": 2357.91, "word": " فيها", "probability": 0.974609375}, {"start": 2357.91, "end": 2358.71, "word": " كدهش؟", "probability": 0.67060546875}, {"start": 2358.71, "end": 2359.83, "word": " تلاتة", "probability": 0.9439697265625}, {"start": 2359.83, "end": 2361.41, "word": " يبقى", "probability": 0.929931640625}, {"start": 2361.41, "end": 2362.15, "word": " then", "probability": 0.60595703125}, {"start": 2362.15, "end": 2364.61, "word": " ال", "probability": 0.7060546875}, {"start": 2364.61, "end": 2366.27, "word": " then", "probability": 0.3056640625}, {"start": 2366.27, "end": 2366.55, "word": " ال", "probability": 0.798828125}, {"start": 2366.55, "end": 2367.15, "word": " order", "probability": 0.9501953125}, {"start": 2367.15, "end": 2367.49, "word": " اللي", "probability": 0.965087890625}, {"start": 2367.49, "end": 2368.21, "word": " هجيه", "probability": 0.63909912109375}, {"start": 2368.21, "end": 2368.65, "word": " بده", "probability": 0.840576171875}, {"start": 2368.65, "end": 2369.11, "word": " يساوي", "probability": 0.939208984375}, {"start": 2369.11, "end": 2369.79, "word": " ستة", "probability": 0.93896484375}], "temperature": 1.0}, {"id": 97, "seek": 239784, "start": 2370.04, "end": 2397.84, "text": "وال order ل H بدي يسوى تلاتة هذا بدي يعطينا ان ال G is not isomorphic لمين لLH but ولكن ال atomorphism ل Z6 isomorphic لمين يا شباب ل U6 U6 من عناصر واحد", "tokens": [2407, 6027, 1668, 5296, 389, 4724, 16254, 7251, 3794, 2407, 7578, 6055, 1211, 9307, 3660, 23758, 4724, 16254, 37495, 9566, 1829, 8315, 16472, 2423, 460, 307, 406, 307, 32702, 299, 32767, 9957, 5296, 43, 39, 457, 35525, 19452, 2423, 12018, 18191, 1434, 5296, 1176, 21, 307, 32702, 299, 32767, 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"probability": 0.9034423828125}, {"start": 2375.4, "end": 2375.68, "word": " ان", "probability": 0.82568359375}, {"start": 2375.68, "end": 2376.0, "word": " ال", "probability": 0.69580078125}, {"start": 2376.0, "end": 2376.38, "word": " G", "probability": 0.6611328125}, {"start": 2376.38, "end": 2377.2, "word": " is", "probability": 0.591796875}, {"start": 2377.2, "end": 2377.78, "word": " not", "probability": 0.9541015625}, {"start": 2377.78, "end": 2379.02, "word": " isomorphic", "probability": 0.9264322916666666}, {"start": 2379.02, "end": 2379.66, "word": " لمين", "probability": 0.6041259765625}, {"start": 2379.66, "end": 2381.64, "word": " لLH", "probability": 0.4846598307291667}, {"start": 2381.64, "end": 2383.0, "word": " but", "probability": 0.4453125}, {"start": 2383.0, "end": 2385.88, "word": " ولكن", "probability": 0.7587890625}, {"start": 2385.88, "end": 2387.12, "word": " ال", "probability": 0.9609375}, {"start": 2387.12, "end": 2389.06, "word": " atomorphism", 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"word": " أربعة،", "probability": 0.8294677734375}, {"start": 2401.94, "end": 2402.84, "word": " خمسة،", "probability": 0.853125}, {"start": 2402.84, "end": 2404.28, "word": " وايس", "probability": 0.3673502604166667}, {"start": 2404.28, "end": 2405.6, "word": " الآن", "probability": 0.5504150390625}, {"start": 2405.6, "end": 2406.4, "word": " الـ", "probability": 0.6064453125}, {"start": 2406.4, "end": 2408.56, "word": " Atomorphism", "probability": 0.6681315104166666}, {"start": 2408.56, "end": 2409.08, "word": " لـ", "probability": 0.773681640625}, {"start": 2409.08, "end": 2410.2, "word": " ZD3", "probability": 0.7527669270833334}, {"start": 2410.2, "end": 2412.42, "word": " Isomorphic", "probability": 0.7128662109375}, {"start": 2412.42, "end": 2412.96, "word": " لـ", "probability": 0.91796875}, {"start": 2412.96, "end": 2413.82, "word": " U3", "probability": 0.862548828125}, {"start": 2413.82, "end": 2414.94, "word": " U3", "probability": 0.927490234375}, {"start": 2414.94, "end": 2415.16, "word": " اللي", "probability": 0.5955810546875}, {"start": 2415.16, "end": 2415.36, "word": " هو", "probability": 0.97265625}, {"start": 2415.36, "end": 2415.74, "word": " واحد", "probability": 0.943359375}, {"start": 2415.74, "end": 2416.34, "word": " واتنين", "probability": 0.8499755859375}, {"start": 2416.34, "end": 2416.96, "word": " مافيش", "probability": 0.7577311197916666}, {"start": 2416.96, "end": 2417.88, "word": " غيرهم", "probability": 0.98583984375}, {"start": 2417.88, "end": 2419.28, "word": " طب", "probability": 0.8564453125}, {"start": 2419.28, "end": 2421.22, "word": " اتطلعلي", "probability": 0.68463134765625}, {"start": 2421.22, "end": 2421.62, "word": " هذه", "probability": 0.366943359375}, {"start": 2421.62, "end": 2422.96, "word": " هل", "probability": 0.928955078125}, {"start": 2422.96, "end": 2423.48, "word": " هذا", "probability": 0.58349609375}, {"start": 2423.48, "end": 2424.54, "word": " generator", "probability": 0.681640625}, {"start": 2424.54, "end": 2426.9, "word": " خمسة", "probability": 0.939453125}, {"start": 2426.9, "end": 2427.46, "word": " generator", "probability": 0.68994140625}, {"start": 2427.46, "end": 2427.8, "word": " لـ", "probability": 0.761474609375}, {"start": 2427.8, "end": 2428.26, "word": " U6", "probability": 0.86279296875}], "temperature": 1.0}, {"id": 99, "seek": 243944, "start": 2431.26, "end": 2439.44, "text": "generator خمسة تربيع بتجيب لل identity الان هل اتنين generator ليه تلاتة؟", "tokens": [21848, 1639, 16490, 2304, 3794, 3660, 6055, 2288, 21292, 3615, 39894, 7435, 1829, 3555, 24976, 6575, 2423, 7649, 8032, 1211, 1975, 2655, 1863, 9957, 19265, 32239, 3224, 6055, 1211, 9307, 3660, 22807], "avg_logprob": -0.2765151515151515, "compression_ratio": 1.101010101010101, "no_speech_prob": 0.0, "words": [{"start": 2431.26, "end": 2432.14, "word": "generator", "probability": 0.5521240234375}, {"start": 2432.14, "end": 2433.32, "word": " خمسة", "probability": 0.8883056640625}, {"start": 2433.32, "end": 2433.66, "word": " تربيع", "probability": 0.7109375}, {"start": 2433.66, "end": 2433.98, "word": " بتجيب", "probability": 0.867431640625}, {"start": 2433.98, "end": 2434.14, "word": " لل", "probability": 0.5458984375}, {"start": 2434.14, "end": 2434.98, "word": " identity", "probability": 0.53369140625}, {"start": 2434.98, "end": 2436.28, "word": " الان", "probability": 0.60052490234375}, {"start": 2436.28, "end": 2436.6, "word": " هل", "probability": 0.90478515625}, {"start": 2436.6, "end": 2437.26, "word": " اتنين", "probability": 0.9375}, {"start": 2437.26, "end": 2438.0, "word": " generator", "probability": 0.849609375}, {"start": 2438.0, "end": 2438.52, "word": " ليه", "probability": 0.867431640625}, {"start": 2438.52, "end": 2439.44, "word": " تلاتة؟", "probability": 0.92470703125}], "temperature": 1.0}, {"id": 100, "seek": 246092, "start": 2440.17, "end": 2460.93, "text": "هو برضه عملية ضرب اتنين في اتنين باربعة بيطلع واحد ال identity و هكذا يبقى اتنين هذول كل واحدة فيها اتنين و هنا اتنين identity identity generator generator ال order الأول يسوي يبقى اتنين هذول are isomorphic يبقى هذول ليست isomorphic لكن", "tokens": [3224, 2407, 4724, 43042, 3224, 6225, 42213, 10632, 48812, 25513, 1975, 2655, 1863, 9957, 8978, 1975, 2655, 1863, 9957, 4724, 9640, 3555, 27884, 4724, 1829, 9566, 1211, 3615, 36764, 24401, 2423, 6575, 4032, 8032, 4117, 15730, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 8032, 8848, 12610, 28242, 36764, 24401, 3660, 8978, 11296, 1975, 2655, 1863, 9957, 4032, 34105, 1975, 2655, 1863, 9957, 6575, 6575, 19265, 19265, 2423, 1668, 16247, 12610, 7251, 3794, 45865, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 8032, 8848, 12610, 366, 307, 32702, 299, 7251, 3555, 4587, 7578, 8032, 8848, 12610, 32239, 14851, 307, 32702, 299, 44381], "avg_logprob": -0.21344053832072657, "compression_ratio": 1.9, "no_speech_prob": 0.0, "words": [{"start": 2440.17, "end": 2440.77, "word": "هو", "probability": 0.4073486328125}, {"start": 2440.77, "end": 2441.05, 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"end": 2450.39, "word": " identity", "probability": 0.69091796875}, {"start": 2450.39, "end": 2451.17, "word": " generator", "probability": 0.8974609375}, {"start": 2451.17, "end": 2451.95, "word": " generator", "probability": 0.95849609375}, {"start": 2451.95, "end": 2452.51, "word": " ال", "probability": 0.9404296875}, {"start": 2452.51, "end": 2452.81, "word": " order", "probability": 0.947265625}, {"start": 2452.81, "end": 2453.21, "word": " الأول", "probability": 0.775634765625}, {"start": 2453.21, "end": 2453.47, "word": " يسوي", "probability": 0.5220540364583334}, {"start": 2453.47, "end": 2453.71, "word": " يبقى", "probability": 0.9830322265625}, {"start": 2453.71, "end": 2453.95, "word": " اتنين", "probability": 0.986572265625}, {"start": 2453.95, "end": 2454.25, "word": " هذول", "probability": 0.96337890625}, {"start": 2454.25, "end": 2454.83, "word": " are", "probability": 0.27490234375}, {"start": 2454.83, "end": 2457.13, "word": " isomorphic", "probability": 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2507.43, "text": "يعني ممكن هذا مثال هيعطينا ان two groups ليست isomorphic لكن ال atomorphism على ال group الأولى و ال atomorphism على ال group التانية اتنين are isomorphic هذا سؤال اتناشر السؤال الاربعتاش الشفوي قال لي هاتي ال atomorphism لمن ل Z6", "tokens": [40228, 22653, 3714, 43020, 23758, 50113, 6027, 39896, 3615, 9566, 1829, 8315, 16472, 732, 3935, 32239, 14851, 307, 32702, 299, 44381, 2423, 12018, 18191, 1434, 15844, 2423, 1594, 16247, 12610, 7578, 4032, 2423, 12018, 18191, 1434, 15844, 2423, 1594, 16712, 7649, 10632, 1975, 2655, 1863, 9957, 366, 307, 32702, 299, 23758, 8608, 33604, 6027, 1975, 2655, 1863, 33599, 2288, 21136, 33604, 6027, 2423, 9640, 3555, 34268, 33599, 25124, 5172, 45865, 50239, 32239, 8032, 9307, 1829, 2423, 12018, 18191, 1434, 5296, 27842, 5296, 1176, 21], "avg_logprob": -0.261213225476882, "compression_ratio": 1.824468085106383, "no_speech_prob": 0.0, "words": [{"start": 2482.45, "end": 2482.89, "word": "يعني", "probability": 0.6944580078125}, {"start": 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" Y", "probability": 0.9248046875}, {"start": 2812.55, "end": 2813.83, "word": " أربعة", "probability": 0.635009765625}, {"start": 2813.83, "end": 2814.41, "word": " تساوي", "probability": 0.8865966796875}, {"start": 2814.41, "end": 2815.41, "word": " كم؟", "probability": 0.5569661458333334}, {"start": 2815.41, "end": 2816.55, "word": " تساوي", "probability": 0.9498291015625}, {"start": 2816.55, "end": 2817.41, "word": " واحد", "probability": 0.978515625}, {"start": 2817.41, "end": 2820.03, "word": " بدي", "probability": 0.48468017578125}, {"start": 2820.03, "end": 2820.55, "word": " أثبت", "probability": 0.9832763671875}, {"start": 2820.55, "end": 2820.77, "word": " أن", "probability": 0.7275390625}, {"start": 2820.77, "end": 2820.99, "word": " ال", "probability": 0.85595703125}, {"start": 2820.99, "end": 2821.27, "word": " Y", "probability": 0.9716796875}, {"start": 2821.27, "end": 2821.73, "word": " هذه", "probability": 0.62841796875}, {"start": 2821.73, "end": 2822.43, "word": " لها", "probability": 0.5506591796875}, {"start": 2822.43, "end": 2822.93, "word": " أصل", "probability": 0.9404296875}, {"start": 2822.93, "end": 2823.23, "word": " في", "probability": 0.76611328125}, {"start": 2823.23, "end": 2824.25, "word": " U", "probability": 0.93505859375}, {"start": 2824.25, "end": 2824.97, "word": " 16", "probability": 0.9091796875}], "temperature": 1.0}, {"id": 116, "seek": 284476, "start": 2825.5, "end": 2844.76, "text": "بقول له كويس ايش رأيك هذه بدل Y أُ�� أربعة بدي اخد Y واحدة يعني ايش اعمل في المعادلة بدي اضرب في Y لسالب تلتة أو Y inverse تكييب او Y تكييب inverse", "tokens": [3555, 39648, 46740, 9122, 45865, 3794, 1975, 1829, 8592, 12602, 10721, 1829, 4117, 29538, 47525, 1211, 398, 5551, 10859, 3794, 5551, 25513, 27884, 4724, 16254, 1975, 9778, 3215, 398, 36764, 24401, 3660, 37495, 22653, 1975, 1829, 8592, 1975, 25957, 1211, 8978, 9673, 3615, 18513, 37977, 4724, 16254, 1975, 11242, 25513, 8978, 398, 5296, 3794, 6027, 3555, 6055, 1211, 2655, 3660, 34051, 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"probability": 0.7242838541666666}, {"start": 2830.42, "end": 2830.74, "word": " بدي", "probability": 0.42193603515625}, {"start": 2830.74, "end": 2831.18, "word": " اخد", "probability": 0.6818033854166666}, {"start": 2831.18, "end": 2831.62, "word": " Y", "probability": 0.884765625}, {"start": 2831.62, "end": 2832.18, "word": " واحدة", "probability": 0.9498697916666666}, {"start": 2832.18, "end": 2833.06, "word": " يعني", "probability": 0.909423828125}, {"start": 2833.06, "end": 2833.24, "word": " ايش", "probability": 0.7843424479166666}, {"start": 2833.24, "end": 2833.54, "word": " اعمل", "probability": 0.8800455729166666}, {"start": 2833.54, "end": 2833.72, "word": " في", "probability": 0.93701171875}, {"start": 2833.72, "end": 2834.7, "word": " المعادلة", "probability": 0.9649658203125}, {"start": 2834.7, "end": 2836.46, "word": " بدي", "probability": 0.654541015625}, {"start": 2836.46, "end": 2836.92, "word": " اضرب", "probability": 0.771728515625}, {"start": 2836.92, "end": 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287310, "start": 2845.44, "end": 2873.1, "text": "يبقى هذا بده يعطيك ان y أربعة ل y سالب تلاتة بده يساوي ال y سالب تلاتة يعني ضربنا الطرفين y سالب تلاتة هذا معناه ايش ان ال y يساوي y inverse تكيبة ال y inverse بقدر اقول عليها x تكيبة", "tokens": [1829, 3555, 4587, 7578, 23758, 47525, 3224, 37495, 9566, 1829, 4117, 16472, 288, 5551, 25513, 27884, 5296, 288, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 47525, 3224, 7251, 3794, 995, 45865, 2423, 288, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 37495, 22653, 48812, 25513, 8315, 41950, 28480, 9957, 288, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 23758, 20449, 8315, 3224, 1975, 1829, 8592, 16472, 2423, 288, 7251, 3794, 995, 45865, 288, 17340, 6055, 4117, 1829, 49401, 2423, 288, 17340, 4724, 28543, 2288, 1975, 39648, 25894, 11296, 2031, 6055, 4117, 1829, 49401], "avg_logprob": -0.19989809604442638, "compression_ratio": 1.8650306748466257, "no_speech_prob": 0.0, "words": [{"start": 2845.44, "end": 2846.14, "word": "يبقى", "probability": 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