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اسم الكتاب Contemporary Abstract Algebra", "tokens": [37746, 6027, 2655, 6027, 1829, 4724, 1829, 3794, 995, 22488, 4117, 15844, 6156, 16095, 9673, 3794, 995, 4587, 6156, 3224, 15042, 20328, 5016, 25528, 7251, 3555, 4587, 7578, 24525, 2304, 33251, 2655, 16758, 4839, 11840, 822, 46853, 1897, 967, 19983], "avg_logprob": -0.10537347415598428, "compression_ratio": 1.1440677966101696, "no_speech_prob": 0.0, "words": [{"start": 772.92, "end": 773.88, "word": "وبالتالي", "probability": 0.94609375}, {"start": 773.88, "end": 774.8, "word": " بيساعدك", "probability": 0.978271484375}, {"start": 774.8, "end": 775.02, "word": " على", "probability": 0.9072265625}, {"start": 775.02, "end": 775.38, "word": " فهم", "probability": 0.990478515625}, {"start": 775.38, "end": 776.08, "word": " المساق", "probability": 0.878173828125}, {"start": 776.08, "end": 776.88, "word": " فهما", "probability": 0.84716796875}, {"start": 776.88, "end": 777.64, "word": " صحيا", "probability": 0.8678385416666666}, {"start": 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"text": "في أن ثلاثة شروط بنحط على الـ set بالإضافة إلى العملية الثنائية على ال set بتصير عند group ويعني عند groups كثيرة كل واحدة إلها صفات معينة لكن كلهم بدهم يشتركوا في الشروط التلاتة الأساسية اللي هنعرفها في حينها يبقى في هذا ال chapter", "tokens": [41185, 14739, 38637, 1211, 5718, 104, 3660, 13412, 32887, 9566, 44945, 5016, 9566, 15844, 2423, 39184, 992, 20666, 28814, 11242, 31845, 3660, 30731, 18863, 42213, 10632, 6024, 104, 1863, 16373, 10632, 15844, 2423, 992, 39894, 9381, 13546, 43242, 1594, 4032, 40228, 22653, 43242, 3935, 9122, 12984, 48923, 28242, 36764, 24401, 3660, 11933, 1211, 11296, 20328, 5172, 9307, 20449, 9957, 3660, 44381, 28242, 16095, 47525, 16095, 7251, 8592, 2655, 31747, 14407, 8978, 25124, 32887, 9566, 16712, 1211, 9307, 3660, 16247, 3794, 32277, 10632, 13672, 1829, 8032, 1863, 3615, 28480, 11296, 8978, 11331, 9957, 11296, 7251, 3555, 4587, 7578, 8978, 23758, 2423, 7187], "avg_logprob": -0.19990808122298298, "compression_ratio": 1.7723214285714286, 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أربعة و أس خمسة و أس ستة و أس سبعة و أس عشرة و انه جابلي جميع العناصر اللي موجودة في ال group", "tokens": [2304, 12610, 3215, 37495, 22653, 4724, 1829, 12610, 3215, 20292, 10874, 2304, 40228, 18871, 33546, 2288, 2135, 10874, 2304, 40228, 18871, 33546, 2288, 2423, 1594, 10295, 66, 1050, 1594, 37495, 22653, 11933, 1829, 8592, 9673, 4587, 9381, 23328, 20666, 1344, 66, 1050, 1594, 22807, 1594, 6225, 18513, 10632, 29538, 4724, 3794, 6055, 5016, 4587, 4587, 8978, 11296, 13412, 2288, 9566, 12399, 11933, 1829, 8592, 25124, 2288, 9566, 22807, 5551, 9778, 3215, 2655, 18871, 9381, 2288, 9154, 11296, 12399, 18863, 1863, 9381, 2288, 23758, 12602, 3555, 34268, 3224, 12399, 12174, 22488, 47395, 12399, 4032, 5551, 3794, 5551, 25513, 27884, 4032, 5551, 3794, 16490, 2304, 3794, 3660, 4032, 5551, 3794, 8608, 2655, 3660, 4032, 5551, 3794, 8608, 3555, 27884, 4032, 5551, 3794, 6225, 8592, 25720, 4032, 16472, 3224, 10874, 16758, 20292, 10874, 2304, 40228, 18863, 1863, 33546, 2288, 13672, 1829, 3714, 29245, 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1613.69, "end": 1643.03, "text": "يمكن الجروب الواحد اللي أجيه فيها إياش مولدين يمكن أربعة يمكن ستة يبقى يمكن تمانية بس ماتبقاش ال trivial subgroup ال trivial subgroup اللي مش فيها إلا أنصر واحد اللي هو main أنصر الواحدة تمام؟ يبقى هاي المقصود بالcyclic group وكذلك ال generators بعد الcyclic group نجي لحاجة اسمة ال permutation group يبقى chapter خمسة", "tokens": [32640, 19452, 25724, 32887, 3555, 2423, 14407, 24401, 13672, 1829, 5551, 7435, 1829, 3224, 8978, 11296, 11933, 1829, 33599, 3714, 12610, 3215, 9957, 7251, 43020, 5551, 25513, 27884, 7251, 43020, 8608, 2655, 3660, 7251, 3555, 4587, 7578, 7251, 43020, 46811, 7649, 10632, 4724, 3794, 3714, 9307, 3555, 4587, 33599, 2423, 26703, 1422, 17377, 2423, 26703, 1422, 17377, 13672, 1829, 37893, 8978, 11296, 11933, 15040, 14739, 9381, 2288, 36764, 24401, 13672, 1829, 31439, 2135, 14739, 9381, 2288, 2423, 14407, 24401, 3660, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 8032, 47302, 9673, 4587, 9381, 23328, 20666, 1344, 66, 1050, 1594, 4032, 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main", "probability": 0.6845703125}, {"start": 1628.09, "end": 1629.07, "word": " أنصر", "probability": 0.9070638020833334}, {"start": 1629.07, "end": 1630.09, "word": " الواحدة", "probability": 0.9342041015625}, {"start": 1630.09, "end": 1631.03, "word": " تمام؟", "probability": 0.73974609375}, {"start": 1631.03, "end": 1631.27, "word": " يبقى", "probability": 0.9420166015625}, {"start": 1631.27, "end": 1631.47, "word": " هاي", "probability": 0.7138671875}, {"start": 1631.47, "end": 1631.97, "word": " المقصود", "probability": 0.9921875}, {"start": 1631.97, "end": 1632.69, "word": " بالcyclic", "probability": 0.75909423828125}, {"start": 1632.69, "end": 1633.17, "word": " group", "probability": 0.9453125}, {"start": 1633.17, "end": 1634.79, "word": " وكذلك", "probability": 0.8798828125}, {"start": 1634.79, "end": 1635.23, "word": " ال", "probability": 0.8232421875}, {"start": 1635.23, "end": 1635.89, "word": " generators", "probability": 0.7119140625}, {"start": 1635.89, "end": 1636.59, "word": " بعد", "probability": 0.75244140625}, {"start": 1636.59, "end": 1637.09, "word": " الcyclic", "probability": 0.8394775390625}, {"start": 1637.09, "end": 1637.39, "word": " group", "probability": 0.9755859375}, {"start": 1637.39, "end": 1637.69, "word": " نجي", "probability": 0.7867838541666666}, {"start": 1637.69, "end": 1638.05, "word": " لحاجة", "probability": 0.8084716796875}, {"start": 1638.05, "end": 1638.39, "word": " اسمة", "probability": 0.647216796875}, {"start": 1638.39, "end": 1638.63, "word": " ال", "probability": 0.59228515625}, {"start": 1638.63, "end": 1639.61, "word": " permutation", "probability": 0.923095703125}, {"start": 1639.61, "end": 1640.29, "word": " group", "probability": 0.978515625}, {"start": 1640.29, "end": 1641.43, "word": " يبقى", "probability": 0.9906005859375}, {"start": 1641.43, "end": 1642.03, "word": " chapter", "probability": 0.5595703125}, {"start": 1642.03, "end": 1643.03, "word": " خمسة", "probability": 0.914794921875}], "temperature": 1.0}, {"id": 73, "seek": 166713, "start": 1643.59, "end": 1667.13, "text": "الحاجة اسمها ال permutation group ايش ال permutation هذه يبقى احنا بنيجي على set وفيها مجموعة من العناصر افترض في عندي مثلا تلت عناصر", "tokens": [6027, 5016, 26108, 3660, 24525, 2304, 11296, 2423, 4784, 11380, 1594, 1975, 1829, 8592, 2423, 4784, 11380, 29538, 7251, 3555, 4587, 7578, 1975, 5016, 8315, 44945, 1829, 7435, 1829, 15844, 992, 4032, 41185, 11296, 3714, 7435, 2304, 2407, 27884, 9154, 18863, 1863, 33546, 2288, 1975, 5172, 2655, 43042, 8978, 18871, 16254, 50113, 15040, 6055, 1211, 2655, 18871, 33546, 2288], "avg_logprob": -0.19218749652306238, "compression_ratio": 1.4391891891891893, "no_speech_prob": 0.0, "words": [{"start": 1643.59, "end": 1644.19, "word": "الحاجة", "probability": 0.7000732421875}, {"start": 1644.19, "end": 1644.89, "word": " اسمها", "probability": 0.9723307291666666}, {"start": 1644.89, "end": 1645.17, "word": " ال", "probability": 0.75537109375}, {"start": 1645.17, "end": 1647.73, "word": " permutation", "probability": 0.61859130859375}, {"start": 1647.73, "end": 1650.17, "word": " group", "probability": 0.6201171875}, {"start": 1650.17, "end": 1657.15, "word": " ايش", "probability": 0.7090657552083334}, {"start": 1657.15, "end": 1657.31, "word": " ال", "probability": 0.9423828125}, {"start": 1657.31, "end": 1657.97, "word": " permutation", "probability": 0.98193359375}, {"start": 1657.97, "end": 1658.51, "word": " هذه", "probability": 0.1988525390625}, {"start": 1658.51, "end": 1659.83, "word": " يبقى", "probability": 0.8538818359375}, {"start": 1659.83, "end": 1660.39, "word": " احنا", "probability": 0.9684244791666666}, {"start": 1660.39, "end": 1661.29, "word": " بنيجي", "probability": 0.7867431640625}, {"start": 1661.29, "end": 1661.59, "word": " على", "probability": 0.86669921875}, {"start": 1661.59, "end": 1662.19, "word": " set", "probability": 0.8896484375}, {"start": 1662.19, "end": 1663.07, "word": " وفيها", "probability": 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بسميها تبديلة من التبديلة هذي بقدر اخلق مجموعة من التبديلات تعرف كم من التلات عناصر بتقدر تسوي تبديلات مرت عليكم بدأ الرياضيات كم يعني؟", "tokens": [6027, 2655, 1211, 9307, 18871, 33546, 2288, 9122, 10943, 6055, 3555, 16254, 37977, 4724, 28543, 2288, 24525, 45865, 9154, 16095, 4724, 5016, 1829, 12984, 49429, 36764, 24401, 8032, 2655, 30544, 30767, 1829, 16712, 7649, 10632, 37495, 22653, 50113, 15040, 45164, 10874, 1829, 8315, 12174, 12610, 8315, 36764, 24401, 4032, 5718, 104, 1863, 9957, 4032, 2655, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 8032, 8848, 1829, 4724, 38251, 1829, 11296, 6055, 44510, 26895, 3660, 9154, 16712, 44510, 26895, 3660, 8032, 8848, 1829, 4724, 28543, 2288, 1975, 9778, 1211, 4587, 3714, 7435, 2304, 2407, 27884, 9154, 16712, 44510, 26895, 9307, 37279, 28480, 9122, 2304, 9154, 16712, 1211, 9307, 18871, 33546, 2288, 39894, 28543, 2288, 6055, 3794, 45865, 6055, 44510, 26895, 9307, 3714, 43500, 25894, 24793, 47525, 10721, 2423, 16572, 46958, 1829, 9307, 9122, 2304, 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"end": 2108.56, "word": " وبعض", "probability": 0.90283203125}, {"start": 2108.56, "end": 2109.28, "word": " النظريات", "probability": 0.977294921875}, {"start": 2109.28, "end": 2110.22, "word": " المتعلقة", "probability": 0.984375}, {"start": 2110.22, "end": 2110.6, "word": " بها", "probability": 0.95263671875}], "temperature": 1.0}, {"id": 94, "seek": 213159, "start": 2110.99, "end": 2131.59, "text": "بنجي لل atomorphism شو يعني atomorphism هو function فاي بس من جي إلى جي itself مش لوحدة تانية هنا جي و هنا جي بربوا اختلفوا عن بعض تماما هاي شجة و هاي شجة تانية و ليهم مش علاقة ببعض ولا بقرب ولا بعض ولا غيره", "tokens": [3555, 1863, 7435, 1829, 24976, 12018, 18191, 1434, 13412, 2407, 37495, 22653, 12018, 18191, 1434, 31439, 2445, 6156, 47302, 4724, 3794, 9154, 10874, 1829, 30731, 10874, 1829, 2564, 37893, 45164, 24401, 3660, 6055, 7649, 10632, 34105, 10874, 1829, 4032, 34105, 10874, 1829, 4724, 25513, 14407, 1975, 46456, 46538, 14407, 18871, 45030, 11242, 46811, 10943, 995, 8032, 47302, 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الكوسيت كويس يبقى الكوسيت هذي جبت عنصر تاني طلعت كوسيت تانية جبت عنصر تانية ضربته فيه طلع كوسيت تانية و هكذا", "tokens": [7435, 3555, 8315, 11331, 26108, 3660, 10874, 16254, 41891, 24525, 2304, 11296, 9122, 41779, 36081, 2423, 1594, 16247, 36520, 10632, 5551, 9778, 3215, 10874, 11622, 38207, 9154, 5551, 3794, 2288, 1422, 17377, 2423, 1422, 17377, 10874, 3555, 2655, 18871, 9381, 2288, 48812, 25513, 47395, 8978, 3224, 18871, 33546, 2288, 11296, 28242, 16095, 23032, 1211, 3615, 43242, 16095, 9957, 13672, 1829, 31439, 33251, 41779, 36081, 9122, 45865, 3794, 7251, 3555, 4587, 7578, 33251, 41779, 36081, 8032, 8848, 1829, 10874, 3555, 2655, 18871, 9381, 2288, 6055, 7649, 1829, 23032, 1211, 34268, 9122, 41779, 36081, 6055, 7649, 10632, 10874, 3555, 2655, 18871, 9381, 2288, 6055, 7649, 10632, 48812, 25513, 47395, 8978, 3224, 23032, 1211, 3615, 9122, 41779, 36081, 6055, 7649, 10632, 4032, 8032, 4117, 15730], "avg_logprob": -0.21760670101739527, "compression_ratio": 2.1116751269035534, 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