diff --git "a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/XA6IR2bmMHM_raw.json" "b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/XA6IR2bmMHM_raw.json" new file mode 100644--- /dev/null +++ "b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/XA6IR2bmMHM_raw.json" @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2975, "start": 21.33, "end": 29.75, "text": "بسم الله الرحمن الرحيم المرة الماضية اخر حاجة اتكلمنا فيها اعطينا definition لل center لل group", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 9673, 25720, 9673, 46958, 10632, 1975, 34740, 11331, 26108, 3660, 1975, 2655, 4117, 19528, 8315, 8978, 11296, 1975, 3615, 9566, 1829, 8315, 7123, 24976, 3056, 24976, 1594], "avg_logprob": -0.2259290476103087, "compression_ratio": 1.3873873873873874, "no_speech_prob": 0.0, "words": [{"start": 21.33, "end": 21.67, "word": "بسم", "probability": 0.657470703125}, {"start": 21.67, "end": 21.87, "word": " الله", "probability": 0.9658203125}, {"start": 21.87, "end": 22.33, "word": " الرحمن", "probability": 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اسمها؟ مصوفة الواحدة قطرية لما العناصر القطرة الرئيسى يكونوا متساوية بقيناش نسميها مثلثية", "tokens": [1829, 3555, 4587, 7578, 28242, 18863, 1863, 33546, 2288, 25062, 9566, 25720, 34892, 19986, 1829, 3794, 7578, 4724, 1829, 30544, 18871, 33546, 2288, 16095, 44650, 3794, 995, 2407, 10632, 37037, 24192, 4724, 4587, 9957, 995, 8717, 38251, 1829, 11296, 8978, 2423, 8213, 21989, 4724, 4587, 9957, 995, 11296, 8717, 38251, 1829, 11296, 9673, 9381, 2407, 5172, 3660, 13412, 2407, 24525, 2304, 11296, 22807, 3714, 9381, 2407, 5172, 3660, 2423, 14407, 24401, 3660, 12174, 9566, 2288, 10632, 5296, 15042, 18863, 1863, 33546, 2288, 25062, 9566, 25720, 34892, 19986, 1829, 3794, 7578, 7251, 30544, 14407, 44650, 3794, 995, 2407, 10632, 4724, 4587, 9957, 995, 8592, 8717, 38251, 1829, 11296, 3714, 12984, 1211, 12984, 10632], "avg_logprob": -0.21335730299485467, "compression_ratio": 2.032967032967033, "no_speech_prob": 0.0, "words": [{"start": 827.31, "end": 827.91, "word": "يبقى", "probability": 0.72930908203125}, {"start": 827.91, "end": 828.31, "word": " كل", "probability": 0.85009765625}, {"start": 828.31, "end": 829.13, "word": " العناصر", "probability": 0.83819580078125}, {"start": 829.13, "end": 830.05, "word": " القطرة", "probability": 0.8014322916666666}, {"start": 830.05, "end": 831.29, "word": " الرئيسى", "probability": 0.888427734375}, {"start": 831.29, "end": 831.99, "word": " بيكون", "probability": 0.8367513020833334}, {"start": 831.99, "end": 832.69, "word": " عناصرهم", "probability": 0.7193603515625}, {"start": 832.69, "end": 833.31, "word": " متساوية", "probability": 0.8365234375}, {"start": 833.31, "end": 833.59, "word": " وهذه", "probability": 0.759521484375}, {"start": 833.59, "end": 833.95, "word": " بقينا", "probability": 0.673095703125}, {"start": 833.95, "end": 834.69, "word": " نسميها", "probability": 0.9814453125}, {"start": 834.69, "end": 835.31, "word": " في", "probability": 0.68798828125}, {"start": 835.31, "end": 836.39, "word": " ال", "probability": 0.943359375}, {"start": 836.39, "end": 836.79, "word": " linear", "probability": 0.450439453125}, {"start": 836.79, "end": 837.47, "word": " algebra", "probability": 0.9404296875}, {"start": 837.47, "end": 838.29, "word": " بقيناها", "probability": 0.81982421875}, {"start": 838.29, "end": 839.17, "word": " نسميها", "probability": 0.930419921875}, {"start": 839.17, "end": 839.83, "word": " المصوفة", "probability": 0.79482421875}, {"start": 839.83, "end": 839.99, "word": " شو", "probability": 0.8310546875}, {"start": 839.99, "end": 841.07, "word": " اسمها؟", "probability": 0.877685546875}, {"start": 841.07, "end": 841.95, "word": " مصوفة", "probability": 0.81064453125}, {"start": 841.95, "end": 842.57, "word": " الواحدة", "probability": 0.857177734375}, {"start": 842.57, "end": 845.83, "word": " قطرية", "probability": 0.76318359375}, {"start": 845.83, "end": 847.75, "word": " لما", "probability": 0.747314453125}, {"start": 847.75, "end": 848.35, "word": " العناصر", "probability": 0.96044921875}, {"start": 848.35, "end": 848.67, "word": " القطرة", "probability": 0.927734375}, {"start": 848.67, "end": 849.01, "word": " الرئيسى", "probability": 0.97041015625}, {"start": 849.01, "end": 849.41, "word": " يكونوا", "probability": 0.8186848958333334}, {"start": 849.41, "end": 850.69, "word": " متساوية", "probability": 0.98427734375}, {"start": 850.69, "end": 852.15, "word": " بقيناش", "probability": 0.73369140625}, {"start": 852.15, "end": 853.03, "word": " نسميها", "probability": 0.9931640625}, {"start": 853.03, "end": 854.33, "word": " مثلثية", "probability": 0.804150390625}], "temperature": 1.0}, {"id": 36, "seek": 87788, "start": 857.7, "end": 877.88, "text": "بنسميها scalar matrix او مقياسية لو كان القطرين غير متسوين بيقول دياجون الماتريك دياجون الماتريك هي فعلا دياجون الماتريك في المصحوف القطرية بس إذا تسابق عناصر القطر الرئيسي بنسميها scalar matrix", "tokens": [3555, 1863, 38251, 1829, 11296, 39684, 8141, 1975, 2407, 3714, 4587, 25528, 3794, 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"probability": 0.7350667317708334}, {"start": 889.53, "end": 890.79, "word": " نمرتنا", "probability": 0.6807861328125}, {"start": 890.79, "end": 891.49, "word": " example", "probability": 0.75439453125}, {"start": 891.49, "end": 892.07, "word": " two", "probability": 0.59326171875}, {"start": 892.07, "end": 893.99, "word": " بدنا", "probability": 0.8251953125}, {"start": 893.99, "end": 894.63, "word": " z", "probability": 0.58642578125}, {"start": 894.63, "end": 896.11, "word": " of", "probability": 0.88330078125}, {"start": 896.11, "end": 897.29, "word": " D4", "probability": 0.611328125}, {"start": 897.29, "end": 899.15, "word": " يساوي", "probability": 0.879150390625}, {"start": 899.15, "end": 900.91, "word": " أكيد", "probability": 0.86767578125}, {"start": 900.91, "end": 901.05, "word": " ال", "probability": 0.92333984375}, {"start": 901.05, "end": 901.29, "word": " R", "probability": 0.77099609375}, {"start": 901.29, "end": 901.57, "word": " node", "probability": 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كله بيعطيني reflection ماقولش يساوي يعني على كل الأمرين بطلعلي reflection", "tokens": [1829, 3555, 4587, 7578, 2423, 479, 8978, 9122, 8848, 23275, 604, 12914, 36632, 16472, 4587, 15040, 3555, 8608, 2407, 16606, 25961, 389, 4032, 20193, 691, 4032, 20193, 413, 4032, 20193, 413, 6, 36632, 36764, 24401, 3660, 9154, 16095, 3714, 4117, 2655, 37746, 20449, 995, 4117, 16472, 12914, 48812, 25513, 12447, 7251, 3794, 995, 45865, 12447, 48812, 25513, 12914, 28242, 3224, 4724, 40228, 9566, 9957, 1829, 12914, 19446, 39648, 8592, 7251, 3794, 995, 45865, 37495, 22653, 15844, 28242, 16247, 29973, 9957, 4724, 9566, 1211, 3615, 20292, 12914], "avg_logprob": -0.20474137382945795, "compression_ratio": 1.7236180904522613, "no_speech_prob": 0.0, "words": [{"start": 1291.07, "end": 1292.15, "word": "يبقى", "probability": 0.84771728515625}, {"start": 1292.15, "end": 1292.95, "word": " ال", "probability": 0.64306640625}, {"start": 1292.95, "end": 1293.33, "word": " F", "probability": 0.405029296875}, {"start": 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" الأول", "probability": 0.957275390625}, {"start": 1600.73, "end": 1601.63, "word": " للآخر", "probability": 0.897216796875}, {"start": 1601.63, "end": 1602.49, "word": " طب", "probability": 0.820068359375}, {"start": 1602.49, "end": 1602.69, "word": " ال", "probability": 0.9072265625}, {"start": 1602.69, "end": 1603.01, "word": " F", "probability": 0.90185546875}, {"start": 1603.01, "end": 1603.77, "word": " reflection", "probability": 0.83154296875}, {"start": 1603.77, "end": 1604.25, "word": " لما", "probability": 0.910400390625}, {"start": 1604.25, "end": 1604.77, "word": " تبقى", "probability": 0.97900390625}, {"start": 1604.77, "end": 1604.93, "word": " ال", "probability": 0.9033203125}, {"start": 1604.93, "end": 1605.29, "word": " F", "probability": 0.97314453125}, {"start": 1605.29, "end": 1606.21, "word": " reflection", "probability": 0.876953125}, {"start": 1606.21, "end": 1606.97, "word": " يبقى", "probability": 0.9853515625}, {"start": 1606.97, "end": 1607.19, "word": " 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{"start": 2136.74, "end": 2137.06, "word": " مش", "probability": 0.84130859375}, {"start": 2137.06, "end": 2137.28, "word": " مع", "probability": 0.986328125}, {"start": 2137.28, "end": 2137.62, "word": " باقي", "probability": 0.85791015625}, {"start": 2137.62, "end": 2138.44, "word": " عناصر", "probability": 0.9109700520833334}], "temperature": 1.0}, {"id": 87, "seek": 215830, "start": 2138.8, "end": 2158.3, "text": "يبقى فيه فرق ما بين الـcenter والـcentralizer الـelement اللي موجود في الـcenter commutes مع جميع عناصر A مع جميع عناصر الجروب G لكن الـcentralizer ليه؟ بس العناصر ي commutes مع مين؟ مع A فقط لغير", "tokens": [1829, 3555, 4587, 7578, 8978, 3224, 6156, 2288, 4587, 19446, 49374, 2423, 39184, 50085, 16070, 39184, 2207, 2155, 6545, 2423, 39184, 68, 3054, 13672, 1829, 3714, 29245, 23328, 8978, 2423, 39184, 50085, 800, 1819, 20449, 10874, 2304, 40228, 18871, 33546, 2288, 316, 20449, 10874, 2304, 40228, 18871, 33546, 2288, 25724, 32887, 3555, 460, 44381, 2423, 39184, 2207, 2155, 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"probability": 0.7333984375}, {"start": 2143.88, "end": 2144.28, "word": " موجود", "probability": 0.9894205729166666}, {"start": 2144.28, "end": 2144.44, "word": " في", "probability": 0.91357421875}, {"start": 2144.44, "end": 2144.94, "word": " الـcenter", "probability": 0.8948567708333334}, {"start": 2144.94, "end": 2145.58, "word": " commutes", "probability": 0.528076171875}, {"start": 2145.58, "end": 2145.9, "word": " مع", "probability": 0.9873046875}, {"start": 2145.9, "end": 2146.68, "word": " جميع", "probability": 0.99267578125}, {"start": 2146.68, "end": 2147.48, "word": " عناصر", "probability": 0.9549153645833334}, {"start": 2147.48, "end": 2147.8, "word": " A", "probability": 0.513671875}, {"start": 2147.8, "end": 2148.68, "word": " مع", "probability": 0.73876953125}, {"start": 2148.68, "end": 2149.02, "word": " جميع", "probability": 0.9910481770833334}, {"start": 2149.02, "end": 2149.5, "word": " عناصر", "probability": 0.9910481770833334}, {"start": 2149.5, "end": 2150.2, 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"word": " A", "probability": 0.85791015625}, {"start": 2156.86, "end": 2157.66, "word": " فقط", "probability": 0.988037109375}, {"start": 2157.66, "end": 2158.3, "word": " لغير", "probability": 0.797119140625}], "temperature": 1.0}, {"id": 88, "seek": 218048, "start": 2158.56, "end": 2180.48, "text": "والذالك قلنا الـ Centralizer لكل العناصر اللي موجودة في جيه اللي بتبقى commutes مع مين مع ايه فقط بناء على ذلك سنطرح بعض الأسئلة السؤال الأول مين اللي أكبر ال center ولا ال centralizer في ال group العادى", "tokens": [2407, 6027, 8848, 6027, 4117, 12174, 1211, 8315, 2423, 39184, 9701, 6545, 5296, 28820, 18863, 1863, 33546, 2288, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 10874, 1829, 3224, 13672, 1829, 39894, 3555, 4587, 7578, 800, 1819, 20449, 3714, 9957, 20449, 1975, 1829, 3224, 6156, 47432, 44945, 16606, 15844, 29910, 23275, 8608, 1863, 9566, 2288, 5016, 45030, 11242, 16247, 3794, 19986, 37977, 21136, 33604, 6027, 16247, 12610, 3714, 9957, 13672, 1829, 5551, 4117, 26890, 2423, 3056, 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centralizer", "probability": 0.86572265625}, {"start": 2179.32, "end": 2179.5, "word": " في", "probability": 0.82763671875}, {"start": 2179.5, "end": 2179.6, "word": " ال", "probability": 0.6455078125}, {"start": 2179.6, "end": 2179.84, "word": " group", "probability": 0.97021484375}, {"start": 2179.84, "end": 2180.48, "word": " العادى", "probability": 0.7600911458333334}], "temperature": 1.0}, {"id": 89, "seek": 219102, "start": 2181.9, "end": 2191.02, "text": "الـ Center أكبر يعني بلاقي في عناصر أكتر من عناصر الـ Centralizer لإيه؟", "tokens": [6027, 39184, 5169, 5551, 4117, 26890, 37495, 22653, 4724, 15040, 38436, 8978, 18871, 33546, 2288, 5551, 4117, 2655, 2288, 9154, 18871, 33546, 2288, 2423, 39184, 9701, 6545, 5296, 28814, 1829, 3224, 22807], "avg_logprob": -0.24147727272727273, "compression_ratio": 1.202127659574468, "no_speech_prob": 0.0, "words": [{"start": 2181.9, "end": 2182.24, "word": "الـ", "probability": 0.42529296875}, {"start": 2182.24, "end": 2182.48, "word": " 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"seek": 221717, "start": 2194.97, "end": 2217.17, "text": "طيب سؤال سؤال بدي أجيب نفس السؤال بصيغة أخرى لو أخد element في ال center تبع ال group بلاجيه في ال centralizer تبع ال ايه؟ بلاجية طب نعمل العملية العكسية بدي أخد element في ال centralizer هل بلاجيه موجود في ال center؟", "tokens": [9566, 1829, 3555, 8608, 33604, 6027, 8608, 33604, 6027, 4724, 16254, 5551, 7435, 1829, 3555, 8717, 36178, 21136, 33604, 6027, 4724, 9381, 1829, 17082, 3660, 5551, 34740, 7578, 45164, 5551, 9778, 3215, 4478, 8978, 2423, 3056, 6055, 3555, 3615, 2423, 1594, 4724, 1211, 26108, 1829, 3224, 8978, 2423, 5777, 6545, 6055, 3555, 3615, 2423, 1975, 1829, 3224, 22807, 4724, 1211, 26108, 10632, 23032, 3555, 8717, 25957, 1211, 18863, 42213, 10632, 18863, 4117, 3794, 10632, 4724, 16254, 5551, 9778, 3215, 4478, 8978, 2423, 5777, 6545, 8032, 1211, 4724, 1211, 26108, 1829, 3224, 3714, 29245, 23328, 8978, 2423, 3056, 22807], "avg_logprob": -0.18465908398531905, "compression_ratio": 2.0, "no_speech_prob": 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ال center تبع ال group G subset من ال centralizer ل A و ال A عنصر موجود في جي مش ال A و لا ال B و ال C يعني هذا كلام صحيح لكل ال A اللي موجود في جي بدل هيك بقول لكل ال A اللي موجودة في جي", "tokens": [6027, 1863, 47432, 3660, 16247, 12610, 7578, 2423, 3056, 6055, 3555, 3615, 2423, 1594, 460, 25993, 9154, 2423, 5777, 6545, 5296, 316, 4032, 2423, 316, 18871, 9381, 2288, 3714, 29245, 23328, 8978, 10874, 1829, 37893, 2423, 316, 4032, 20193, 2423, 363, 4032, 2423, 383, 37495, 22653, 23758, 28242, 10943, 20328, 5016, 1829, 5016, 5296, 28820, 2423, 316, 13672, 1829, 3714, 29245, 23328, 8978, 10874, 1829, 47525, 1211, 39896, 4117, 4724, 39648, 5296, 28820, 2423, 316, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 10874, 1829], "avg_logprob": -0.2128676449551302, "compression_ratio": 1.7403314917127073, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2260.8199999999997, "end": 2261.58, "word": "النقطة", "probability": 0.80584716796875}, {"start": 2261.58, "end": 2262.12, "word": " 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centralizer", "probability": 0.9677734375}, {"start": 2300.23, "end": 2300.87, "word": " لعنصر", "probability": 0.9890625}, {"start": 2300.87, "end": 2301.29, "word": " تالت", "probability": 0.96240234375}, {"start": 2301.29, "end": 2301.77, "word": " و", "probability": 0.8671875}, {"start": 2301.77, "end": 2302.09, "word": " جبت", "probability": 0.9860026041666666}, {"start": 2302.09, "end": 2302.21, "word": " ال", "probability": 0.90869140625}, {"start": 2302.21, "end": 2302.45, "word": " central", "probability": 0.85546875}, {"start": 2302.45, "end": 2302.67, "word": " group", "probability": 0.09039306640625}, {"start": 2302.67, "end": 2303.37, "word": " بلاج", "probability": 0.9093424479166666}, {"start": 2303.37, "end": 2303.53, "word": " ال", "probability": 0.97509765625}, {"start": 2303.53, "end": 2303.83, "word": " central", "probability": 0.89794921875}, {"start": 2303.83, "end": 2304.37, "word": " subset", "probability": 0.94482421875}, {"start": 2304.37, "end": 2304.63, "word": " من", "probability": 0.9775390625}, {"start": 2304.63, "end": 2304.77, "word": " ال", "probability": 0.8837890625}, {"start": 2304.77, "end": 2305.53, "word": " centralizer", "probability": 0.95947265625}, {"start": 2305.53, "end": 2306.09, "word": " للعنصر", "probability": 0.89443359375}, {"start": 2306.09, "end": 2306.63, "word": " التالت", "probability": 0.982421875}, {"start": 2306.63, "end": 2306.75, "word": " و", "probability": 0.8359375}, {"start": 2306.75, "end": 2307.25, "word": " هكذا", "probability": 0.93603515625}], "temperature": 1.0}, {"id": 95, "seek": 232271, "start": 2307.55, "end": 2322.71, "text": "هى اللى قصدناه من هنا طيب كمان سؤال لو كانت ال جي أبيليان قداش ال centralizer لل إيه؟ جي جي كلها طب و ال center؟ جي كلها", "tokens": [3224, 7578, 13672, 7578, 12174, 9381, 3215, 8315, 3224, 9154, 34105, 23032, 1829, 3555, 9122, 2304, 7649, 8608, 33604, 6027, 45164, 25961, 2655, 2423, 10874, 1829, 5551, 21292, 20292, 7649, 12174, 3215, 33599, 2423, 5777, 6545, 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{"start": 2312.39, "end": 2312.95, "word": " كانت", "probability": 0.900390625}, {"start": 2312.95, "end": 2313.19, "word": " ال", "probability": 0.81103515625}, {"start": 2313.19, "end": 2313.57, "word": " جي", "probability": 0.5318603515625}, {"start": 2313.57, "end": 2314.69, "word": " أبيليان", "probability": 0.65869140625}, {"start": 2314.69, "end": 2315.81, "word": " قداش", "probability": 0.8707682291666666}, {"start": 2315.81, "end": 2316.05, "word": " ال", "probability": 0.96337890625}, {"start": 2316.05, "end": 2317.17, "word": " centralizer", "probability": 0.70703125}, {"start": 2317.17, "end": 2317.45, "word": " لل", "probability": 0.72216796875}, {"start": 2317.45, "end": 2318.27, "word": " إيه؟", "probability": 0.6534423828125}, {"start": 2318.27, "end": 2318.61, "word": " جي", "probability": 0.8271484375}, {"start": 2318.61, "end": 2319.51, "word": " جي", "probability": 0.831787109375}, {"start": 2319.51, "end": 2320.07, "word": " كلها", "probability": 0.98681640625}, {"start": 2320.07, "end": 2320.69, "word": " طب", "probability": 0.83251953125}, {"start": 2320.69, "end": 2320.79, "word": " و", "probability": 0.6787109375}, {"start": 2320.79, "end": 2320.97, "word": " ال", "probability": 0.93798828125}, {"start": 2320.97, "end": 2322.17, "word": " center؟", "probability": 0.68212890625}, {"start": 2322.17, "end": 2322.45, "word": " جي", "probability": 0.988525390625}, {"start": 2322.45, "end": 2322.71, "word": " كلها", "probability": 0.848388671875}], "temperature": 1.0}, {"id": 96, "seek": 235232, "start": 2322.76, "end": 2352.32, "text": "يبقى صرت سما بين الـ Central و الـ Centralizer يبقى إذا كانت الـ G Abelian فإن الـ Center يسوى الـ Centralizer و يسوى الجروب G كله لكن لو ماكنتش Abelian بيظل الـ Center تبع الجروب هو الـ Subset قد يسوى و قد لا يسوى تمام؟ يبقى بناء عليه بقول هذه النقطة الأولى النقطة التانية F G is Abelian", "tokens": [1829, 3555, 4587, 7578, 20328, 43500, 8608, 15042, 49374, 2423, 39184, 9701, 4032, 2423, 39184, 9701, 6545, 7251, 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"end": 2340.68, "word": " قد", "probability": 0.989501953125}, {"start": 2340.68, "end": 2341.22, "word": " يسوى", "probability": 0.9012451171875}, {"start": 2341.22, "end": 2341.4, "word": " و", "probability": 0.986328125}, {"start": 2341.4, "end": 2341.7, "word": " قد", "probability": 0.963623046875}, {"start": 2341.7, "end": 2341.94, "word": " لا", "probability": 0.92919921875}, {"start": 2341.94, "end": 2342.92, "word": " يسوى", "probability": 0.9390869140625}, {"start": 2342.92, "end": 2344.12, "word": " تمام؟", "probability": 0.6990559895833334}, {"start": 2344.12, "end": 2344.5, "word": " يبقى", "probability": 0.9737548828125}, {"start": 2344.5, "end": 2344.9, "word": " بناء", "probability": 0.9677734375}, {"start": 2344.9, "end": 2345.46, "word": " عليه", "probability": 0.9716796875}, {"start": 2345.46, "end": 2345.92, "word": " بقول", "probability": 0.955322265625}, {"start": 2345.92, "end": 2346.22, "word": " هذه", "probability": 0.55810546875}, {"start": 2346.22, "end": 2346.7, "word": " النقطة", "probability": 0.9723307291666666}, {"start": 2346.7, "end": 2347.3, "word": " الأولى", "probability": 0.9759114583333334}, {"start": 2347.3, "end": 2348.06, "word": " النقطة", "probability": 0.9775390625}, {"start": 2348.06, "end": 2348.48, "word": " التانية", "probability": 0.9677734375}, {"start": 2348.48, "end": 2349.02, "word": " F", "probability": 0.4384765625}, {"start": 2349.02, "end": 2350.06, "word": " G", "probability": 0.485595703125}, {"start": 2350.06, "end": 2350.94, "word": " is", "probability": 0.79345703125}, {"start": 2350.94, "end": 2352.32, "word": " Abelian", "probability": 0.86279296875}], "temperature": 1.0}, {"id": 97, "seek": 237919, "start": 2353.42, "end": 2379.2, "text": "Then الـ Center تبع لـ Group G هو بالضبط الـ Centralizer لـ A لكل الـ A اللي موجودة في G وهذا بده يساوي G itself هذا في حالة ما تكون A ما تكون Abelian Group طيب ناخد مثال بسيط example let", "tokens": [20371, 2423, 39184, 5169, 6055, 3555, 3615, 5296, 39184, 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موجودة", "probability": 0.9757080078125}, {"start": 2365.2, "end": 2365.4, "word": " في", "probability": 0.90966796875}, {"start": 2365.4, "end": 2365.62, "word": " G", "probability": 0.33984375}, {"start": 2365.62, "end": 2366.06, "word": " وهذا", "probability": 0.764404296875}, {"start": 2366.06, "end": 2366.44, "word": " بده", "probability": 0.39715576171875}, {"start": 2366.44, "end": 2366.86, "word": " يساوي", "probability": 0.8037109375}, {"start": 2366.86, "end": 2367.22, "word": " G", "probability": 0.59814453125}, {"start": 2367.22, "end": 2368.1, "word": " itself", "probability": 0.445556640625}, {"start": 2368.1, "end": 2368.94, "word": " هذا", "probability": 0.65771484375}, {"start": 2368.94, "end": 2369.14, "word": " في", "probability": 0.95361328125}, {"start": 2369.14, "end": 2369.62, "word": " حالة", "probability": 0.9944661458333334}, {"start": 2369.62, "end": 2369.76, "word": " ما", "probability": 0.73974609375}, {"start": 2369.76, "end": 2370.02, "word": " تكون", 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" y", "probability": 0.4541015625}, {"start": 2763.13, "end": 2763.77, "word": " inverse", "probability": 0.78271484375}, {"start": 2763.77, "end": 2764.71, "word": " موجود", "probability": 0.98193359375}, {"start": 2764.71, "end": 2764.89, "word": " في", "probability": 0.921875}, {"start": 2764.89, "end": 2765.07, "word": " ال", "probability": 0.921875}, {"start": 2765.07, "end": 2766.09, "word": " centralizer", "probability": 0.697021484375}, {"start": 2766.09, "end": 2766.83, "word": " لإيه", "probability": 0.72967529296875}, {"start": 2766.83, "end": 2767.71, "word": " هذا", "probability": 0.6142578125}, {"start": 2767.71, "end": 2768.65, "word": " معناه", "probability": 0.9759114583333334}, {"start": 2768.65, "end": 2769.37, "word": " ان", "probability": 0.90478515625}, {"start": 2769.37, "end": 2769.67, "word": " ال", "probability": 0.95556640625}, {"start": 2769.67, "end": 2769.93, "word": " y", "probability": 0.8720703125}, {"start": 2769.93, "end": 2770.71, "word": " inverse", "probability": 0.92333984375}, {"start": 2770.71, "end": 2771.65, "word": " موجود", "probability": 0.98876953125}, {"start": 2771.65, "end": 2772.13, "word": " في", "probability": 0.9501953125}, {"start": 2772.13, "end": 2772.35, "word": " ال", "probability": 0.93798828125}, {"start": 2772.35, "end": 2773.51, "word": " centralizer", "probability": 0.917236328125}, {"start": 2773.51, "end": 2774.03, "word": " لإيه", "probability": 0.9755859375}, {"start": 2774.03, "end": 2774.45, "word": " يبقى", "probability": 0.93505859375}, {"start": 2774.45, "end": 2774.87, "word": " بناء", "probability": 0.932373046875}, {"start": 2774.87, "end": 2775.47, "word": " عليه", "probability": 0.94775390625}], "temperature": 1.0}, {"id": 113, "seek": 279539, "start": 2777.67, "end": 2795.39, "text": "الـ element y موجود في الـ centralizer لإيه إذا معكسه يكون كذلك موجود في الـ centralizer لإيه هذا معناته أن y inverse موجود في الـ centralizer لإيه واعتبر لهذه الهيمينة", "tokens": [6027, 39184, 4478, 288, 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"word": " الـ", "probability": 0.89111328125}, {"start": 2779.95, "end": 2780.87, "word": " centralizer", "probability": 0.7352294921875}, {"start": 2780.87, "end": 2781.35, "word": " لإيه", "probability": 0.8115234375}, {"start": 2781.35, "end": 2781.85, "word": " إذا", "probability": 0.57232666015625}, {"start": 2781.85, "end": 2783.13, "word": " معكسه", "probability": 0.658203125}, {"start": 2783.13, "end": 2784.05, "word": " يكون", "probability": 0.5416259765625}, {"start": 2784.05, "end": 2784.57, "word": " كذلك", "probability": 0.806640625}, {"start": 2784.57, "end": 2785.03, "word": " موجود", "probability": 0.9041341145833334}, {"start": 2785.03, "end": 2785.47, "word": " في", "probability": 0.80419921875}, {"start": 2785.47, "end": 2786.35, "word": " الـ", "probability": 0.739501953125}, {"start": 2786.35, "end": 2787.03, "word": " centralizer", "probability": 0.84521484375}, {"start": 2787.03, "end": 2787.43, "word": " لإيه", "probability": 0.925537109375}, {"start": 2787.43, 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2808.43, "end": 2809.29, "word": " ال", "probability": 0.95556640625}, {"start": 2809.29, "end": 2809.69, "word": " y", "probability": 0.483154296875}, {"start": 2809.69, "end": 2810.37, "word": " موجود", "probability": 0.98681640625}, {"start": 2810.37, "end": 2810.57, "word": " في", "probability": 0.8544921875}, {"start": 2810.57, "end": 2810.77, "word": " ال", "probability": 0.94091796875}, {"start": 2810.77, "end": 2811.99, "word": " centralizer", "probability": 0.796630859375}, {"start": 2811.99, "end": 2812.25, "word": " ل", "probability": 0.927734375}, {"start": 2812.25, "end": 2812.71, "word": " a", "probability": 0.66748046875}, {"start": 2812.71, "end": 2813.65, "word": " then", "probability": 0.72412109375}], "temperature": 1.0}, {"id": 115, "seek": 284070, "start": 2814.02, "end": 2840.7, "text": "الـ Y موجود في الـ Centralizer لـ A ثم الـ Y Inverse ثم أو الـ Y موجودة في الـ Centralizer لـ A Inverse لا لا الـ Y Inverse موجودة في الـ Centralizer لـ A", "tokens": [6027, 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{"start": 2819.06, "end": 2823.38, "word": " لـ", "probability": 0.68017578125}, {"start": 2823.38, "end": 2823.62, "word": " A", "probability": 0.8291015625}, {"start": 2823.62, "end": 2824.58, "word": " ثم", "probability": 0.6214599609375}, {"start": 2824.58, "end": 2825.1, "word": " الـ", "probability": 0.8896484375}, {"start": 2825.1, "end": 2825.46, "word": " Y", "probability": 0.943359375}, {"start": 2825.46, "end": 2826.68, "word": " Inverse", "probability": 0.57061767578125}, {"start": 2826.68, "end": 2828.3, "word": " ثم", "probability": 0.6297607421875}, {"start": 2828.3, "end": 2828.74, "word": " أو", "probability": 0.4443359375}, {"start": 2828.74, "end": 2829.02, "word": " الـ", "probability": 0.920166015625}, {"start": 2829.02, "end": 2829.32, "word": " Y", "probability": 0.8564453125}, {"start": 2829.32, "end": 2830.3, "word": " موجودة", "probability": 0.9837646484375}, {"start": 2830.3, "end": 2830.44, "word": " في", "probability": 0.97412109375}, {"start": 2830.44, "end": 2830.88, "word": " الـ", "probability": 0.875}, {"start": 2830.88, "end": 2831.86, "word": " Centralizer", "probability": 0.982666015625}, {"start": 2831.86, "end": 2832.24, "word": " لـ", "probability": 0.863037109375}, {"start": 2832.24, "end": 2832.38, "word": " A", "probability": 0.91455078125}, {"start": 2832.38, "end": 2832.94, "word": " Inverse", "probability": 0.885009765625}, {"start": 2832.94, "end": 2835.52, "word": " لا", "probability": 0.2900390625}, {"start": 2835.52, "end": 2835.82, "word": " لا", "probability": 0.380126953125}, {"start": 2835.82, "end": 2836.5, "word": " الـ", "probability": 0.8466796875}, {"start": 2836.5, "end": 2836.84, "word": " Y", "probability": 0.92529296875}, {"start": 2836.84, "end": 2837.78, "word": " Inverse", "probability": 0.952392578125}, {"start": 2837.78, "end": 2838.96, "word": " موجودة", "probability": 0.984619140625}, {"start": 2838.96, "end": 2839.06, "word": " في", "probability": 0.98876953125}, {"start": 2839.06, "end": 2839.46, "word": " الـ", "probability": 0.947998046875}, {"start": 2839.46, "end": 2840.28, "word": " Centralizer", "probability": 0.98486328125}, {"start": 2840.28, "end": 2840.58, "word": " لـ", "probability": 0.912353515625}, {"start": 2840.58, "end": 2840.7, "word": " A", "probability": 0.87939453125}], "temperature": 1.0}, {"id": 116, "seek": 286045, "start": 2842.61, "end": 2860.45, "text": "تمام الان لو جيت قولتلك consider خدلي اللي هو ال X Y inverse A هذا الكلام بده يساوي", "tokens": [2655, 15042, 2304, 2423, 7649, 45164, 10874, 36081, 12174, 12610, 2655, 23275, 1949, 16490, 3215, 20292, 13672, 1829, 31439, 2423, 1783, 398, 17340, 316, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865], "avg_logprob": -0.3919642976352147, "compression_ratio": 1.1696428571428572, "no_speech_prob": 0.0, "words": [{"start": 2842.61, "end": 2843.31, "word": "تمام", "probability": 0.5755208333333334}, {"start": 2843.31, "end": 2844.05, "word": " الان", "probability": 0.60247802734375}, 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