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0.8681640625}, {"start": 138.49, "end": 138.87, "word": " R", "probability": 0.822265625}, {"start": 138.87, "end": 140.17, "word": " وضربه", "probability": 0.888671875}, {"start": 140.17, "end": 140.53, "word": " في", "probability": 0.98486328125}, {"start": 140.53, "end": 140.85, "word": " أي", "probability": 0.65380859375}, {"start": 140.85, "end": 141.45, "word": " من", "probability": 0.9853515625}, {"start": 141.45, "end": 143.03, "word": " المتجهات", "probability": 0.981640625}, {"start": 143.03, "end": 143.55, "word": " تبعات", "probability": 0.78033447265625}, {"start": 143.55, "end": 143.71, "word": " ال", "probability": 0.86328125}, {"start": 143.71, "end": 144.01, "word": " vector", "probability": 0.90625}, {"start": 144.01, "end": 144.35, "word": " V", "probability": 0.9140625}], "temperature": 1.0}, {"id": 6, "seek": 14955, "start": 144.53, "end": 149.55, "text": "يبقى هاي العمليتين اللي أنا بقول عليهم معرفتين كانوا معرفة ذاتي", "tokens": [1829, 3555, 4587, 7578, 8032, 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286.45, "word": " zero", "probability": 0.2352294921875}, {"start": 286.45, "end": 287.11, "word": " المطول", "probability": 0.6153157552083334}, {"start": 287.11, "end": 287.51, "word": " هذا", "probability": 0.84619140625}, {"start": 287.51, "end": 288.05, "word": " موجود", "probability": 0.984375}, {"start": 288.05, "end": 288.27, "word": " في", "probability": 0.9619140625}, {"start": 288.27, "end": 288.53, "word": " V", "probability": 0.74072265625}], "temperature": 1.0}, {"id": 13, "seek": 31055, "start": 288.97, "end": 310.55, "text": "إذا و الله كان Zero زايد V يسوي V زايد Zero يسوي V لكل ال V يبقى هذا بسميه Zero vector لمين؟ لل vector space V يعني بمعنى أخر أن ال vector space V لازم يحتوي على العنصر الصفري بالنسبة لعملية الجامع", "tokens": [28814, 15730, 4032, 21984, 25961, 17182, 30767, 995, 25708, 691, 7251, 3794, 45865, 691, 30767, 995, 25708, 17182, 7251, 3794, 45865, 691, 5296, 28820, 2423, 691, 7251, 3555, 4587, 7578, 23758, 4724, 38251, 1829, 3224, 17182, 8062, 32767, 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"word": " يسوي", "probability": 0.7511393229166666}, {"start": 291.89, "end": 292.11, "word": " V", "probability": 0.88427734375}, {"start": 292.11, "end": 292.47, "word": " زايد", "probability": 0.96240234375}, {"start": 292.47, "end": 292.73, "word": " Zero", "probability": 0.892578125}, {"start": 292.73, "end": 293.27, "word": " يسوي", "probability": 0.8248697916666666}, {"start": 293.27, "end": 293.49, "word": " V", "probability": 0.9775390625}, {"start": 293.49, "end": 294.61, "word": " لكل", "probability": 0.944091796875}, {"start": 294.61, "end": 294.95, "word": " ال", "probability": 0.689453125}, {"start": 294.95, "end": 295.25, "word": " V", "probability": 0.65478515625}, {"start": 295.25, "end": 296.29, "word": " يبقى", "probability": 0.951904296875}, {"start": 296.29, "end": 296.53, "word": " هذا", "probability": 0.76220703125}, {"start": 296.53, "end": 297.23, "word": " بسميه", "probability": 0.921875}, {"start": 297.23, "end": 297.61, "word": " Zero", "probability": 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"end": 302.95, "word": " space", "probability": 0.95166015625}, {"start": 302.95, "end": 303.13, "word": " V", "probability": 0.9814453125}, {"start": 303.13, "end": 303.97, "word": " لازم", "probability": 0.9734700520833334}, {"start": 303.97, "end": 304.71, "word": " يحتوي", "probability": 0.98388671875}, {"start": 304.71, "end": 304.99, "word": " على", "probability": 0.90673828125}, {"start": 304.99, "end": 305.89, "word": " العنصر", "probability": 0.9827880859375}, {"start": 305.89, "end": 307.07, "word": " الصفري", "probability": 0.9275716145833334}, {"start": 307.07, "end": 307.99, "word": " بالنسبة", "probability": 0.9931640625}, {"start": 307.99, "end": 309.01, "word": " لعملية", "probability": 0.867431640625}, {"start": 309.01, "end": 310.55, "word": " الجامع", "probability": 0.7005208333333334}], "temperature": 1.0}, {"id": 14, "seek": 33997, "start": 311.61, "end": 339.97, "text": "يبقى الـ zero هذا vector يبقى مش scalar يعني مش number وإنما هو vector تمام بحيث هذا ال zero vector لو جمعته إلى أي vector آخر من اليمين أو من الشمال بدي يعطيني نفس ال vector هذا ال element بقول عليه ال zero vector خاصية الخامسة لأي u موجود في capital V there exists لازم اللي أجي أسالي بـU موجود في V يعني", "tokens": [1829, 3555, 4587, 7578, 2423, 39184, 4018, 23758, 8062, 7251, 3555, 4587, 7578, 37893, 39684, 37495, 22653, 37893, 1230, 4032, 28814, 1863, 15042, 31439, 8062, 46811, 10943, 4724, 5016, 1829, 12984, 23758, 2423, 4018, 8062, 45164, 10874, 2304, 34268, 3224, 30731, 36632, 8062, 19753, 34740, 9154, 2423, 32640, 9957, 34051, 9154, 25124, 2304, 6027, 4724, 16254, 7251, 3615, 9566, 9957, 1829, 8717, 36178, 2423, 8062, 23758, 2423, 4478, 4724, 39648, 47356, 2423, 4018, 8062, 16490, 33546, 10632, 33962, 10943, 3794, 3660, 5296, 10721, 1829, 344, 3714, 29245, 23328, 8978, 4238, 691, 456, 8198, 5296, 31377, 2304, 13672, 1829, 5551, 7435, 1829, 5551, 3794, 6027, 1829, 4724, 39184, 52, 3714, 29245, 23328, 8978, 691, 37495, 22653], "avg_logprob": -0.24339978037209348, 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328.59, "word": " هذا", "probability": 0.94482421875}, {"start": 328.59, "end": 328.77, "word": " ال", "probability": 0.9267578125}, {"start": 328.77, "end": 329.11, "word": " element", "probability": 0.96044921875}, {"start": 329.11, "end": 329.53, "word": " بقول", "probability": 0.883544921875}, {"start": 329.53, "end": 329.93, "word": " عليه", "probability": 0.97314453125}, {"start": 329.93, "end": 330.37, "word": " ال", "probability": 0.87841796875}, {"start": 330.37, "end": 330.65, "word": " zero", "probability": 0.80810546875}, {"start": 330.65, "end": 331.11, "word": " vector", "probability": 0.97607421875}, {"start": 331.11, "end": 332.07, "word": " خاصية", "probability": 0.9708658854166666}, {"start": 332.07, "end": 332.85, "word": " الخامسة", "probability": 0.9713134765625}, {"start": 332.85, "end": 333.75, "word": " لأي", "probability": 0.92236328125}, {"start": 333.75, "end": 333.97, "word": " u", "probability": 0.415771484375}, {"start": 333.97, "end": 334.47, "word": " موجود", "probability": 0.9833984375}, {"start": 334.47, "end": 334.67, "word": " في", "probability": 0.95458984375}, {"start": 334.67, "end": 335.25, "word": " capital", "probability": 0.56103515625}, {"start": 335.25, "end": 335.55, "word": " V", "probability": 0.89990234375}, {"start": 335.55, "end": 335.97, "word": " there", "probability": 0.72216796875}, {"start": 335.97, "end": 336.75, "word": " exists", "probability": 0.5078125}, {"start": 336.75, "end": 337.27, "word": " لازم", "probability": 0.9814453125}, {"start": 337.27, "end": 337.47, "word": " اللي", "probability": 0.656005859375}, {"start": 337.47, "end": 337.79, "word": " أجي", "probability": 0.5992838541666666}, {"start": 337.79, "end": 338.39, "word": " أسالي", "probability": 0.7677001953125}, {"start": 338.39, "end": 338.77, "word": " بـU", "probability": 0.5946451822916666}, {"start": 338.77, "end": 339.27, "word": " موجود", "probability": 0.9684244791666666}, {"start": 339.27, "end": 339.47, "word": " في", "probability": 0.984375}, {"start": 339.47, "end": 339.65, "word": " V", "probability": 0.751953125}, {"start": 339.65, "end": 339.97, "word": " يعني", "probability": 0.88623046875}], "temperature": 1.0}, {"id": 15, "seek": 35918, "start": 340.4, "end": 359.18, "text": "يعني إذا العنصر أو ال vector موجود في V لازم ألاقي سالب هذا العنصر موجود في V بحيث لو جمعت ال U وسالب U تماما كما لو جمعت سالب U و U لأنه قال هنا commutative وندش بده يعطينا", "tokens": [40228, 22653, 11933, 15730, 18863, 1863, 9381, 2288, 34051, 2423, 8062, 3714, 29245, 23328, 8978, 691, 5296, 31377, 2304, 5551, 15040, 38436, 8608, 6027, 3555, 23758, 18863, 1863, 9381, 2288, 3714, 29245, 23328, 8978, 691, 4724, 5016, 1829, 12984, 45164, 10874, 2304, 34268, 2423, 624, 46952, 6027, 3555, 624, 46811, 10943, 995, 9122, 15042, 45164, 10874, 2304, 34268, 8608, 6027, 3555, 624, 4032, 624, 5296, 33456, 3224, 50239, 34105, 800, 325, 1166, 4032, 41260, 8592, 47525, 3224, 7251, 3615, 9566, 1829, 8315], "avg_logprob": 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"end": 346.2, "word": " سالب", "probability": 0.7809244791666666}, {"start": 346.2, "end": 346.48, "word": " هذا", "probability": 0.9697265625}, {"start": 346.48, "end": 346.94, "word": " العنصر", "probability": 0.994873046875}, {"start": 346.94, "end": 348.56, "word": " موجود", "probability": 0.9689127604166666}, {"start": 348.56, "end": 348.68, "word": " في", "probability": 0.91650390625}, {"start": 348.68, "end": 348.94, "word": " V", "probability": 0.939453125}, {"start": 348.94, "end": 349.8, "word": " بحيث", "probability": 0.84326171875}, {"start": 349.8, "end": 350.46, "word": " لو", "probability": 0.8818359375}, {"start": 350.46, "end": 351.06, "word": " جمعت", "probability": 0.9918619791666666}, {"start": 351.06, "end": 351.28, "word": " ال", "probability": 0.74169921875}, {"start": 351.28, "end": 351.5, "word": " U", "probability": 0.90234375}, {"start": 351.5, "end": 352.4, "word": " وسالب", "probability": 0.8289388020833334}, {"start": 352.4, "end": 352.76, "word": " U", "probability": 0.96923828125}, {"start": 352.76, "end": 353.66, "word": " تماما", "probability": 0.98095703125}, {"start": 353.66, "end": 353.96, "word": " كما", "probability": 0.80419921875}, {"start": 353.96, "end": 354.16, "word": " لو", "probability": 0.990234375}, {"start": 354.16, "end": 354.56, "word": " جمعت", "probability": 0.9939778645833334}, {"start": 354.56, "end": 355.18, "word": " سالب", "probability": 0.9856770833333334}, {"start": 355.18, "end": 355.5, "word": " U", "probability": 0.97998046875}, {"start": 355.5, "end": 355.74, "word": " و", "probability": 0.94775390625}, {"start": 355.74, "end": 356.0, "word": " U", "probability": 0.71240234375}, {"start": 356.0, "end": 356.74, "word": " لأنه", "probability": 0.7239583333333334}, {"start": 356.74, "end": 356.92, "word": " قال", "probability": 0.75732421875}, {"start": 356.92, "end": 357.2, "word": " هنا", "probability": 0.91357421875}, {"start": 357.2, "end": 357.92, "word": " commutative", "probability": 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"word": " سالب", "probability": 0.6993001302083334}, {"start": 365.07, "end": 365.29, "word": " U", "probability": 0.53076171875}, {"start": 365.29, "end": 365.59, "word": " هو", "probability": 0.958984375}, {"start": 365.59, "end": 366.45, "word": " vector", "probability": 0.91748046875}, {"start": 366.45, "end": 367.63, "word": " يبقى", "probability": 0.9737548828125}, {"start": 367.63, "end": 367.97, "word": " U", "probability": 0.9453125}, {"start": 367.97, "end": 368.69, "word": " زائد", "probability": 0.7910970052083334}, {"start": 368.69, "end": 369.33, "word": " ناقص", "probability": 0.933837890625}, {"start": 369.33, "end": 369.79, "word": " U", "probability": 0.982421875}, {"start": 369.79, "end": 370.55, "word": " يسوى", "probability": 0.8131103515625}, {"start": 370.55, "end": 371.13, "word": " تماما", "probability": 0.9822591145833334}, {"start": 371.13, "end": 371.69, "word": " ناقص", "probability": 0.9754638671875}, {"start": 371.69, "end": 371.93, "word": " الـ", 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أخدت عنصر A من ال set of real number و أخدت ال U vector موجود في V إذا حصل ضرب ل 2A في U بدي يكون موجود في V تماما تحققت الخاصية ده نروح بالخاصية اللي بعدها", "tokens": [3224, 24192, 33962, 10943, 3794, 3660, 33962, 33546, 10632, 21136, 32277, 3660, 45164, 5551, 9778, 3215, 2655, 36632, 39684, 9154, 2423, 992, 295, 957, 1230, 316, 5551, 9778, 3215, 2655, 18871, 9381, 2288, 316, 9154, 2423, 992, 295, 957, 1230, 4032, 5551, 9778, 3215, 2655, 2423, 624, 8062, 3714, 29245, 23328, 8978, 691, 11933, 15730, 11331, 36520, 48812, 25513, 5296, 568, 32, 8978, 624, 4724, 16254, 7251, 30544, 3714, 29245, 23328, 8978, 691, 46811, 10943, 995, 6055, 5016, 4587, 4587, 2655, 33962, 33546, 10632, 11778, 3224, 8717, 32887, 5016, 20666, 9778, 33546, 10632, 13672, 1829, 39182, 11296], "avg_logprob": -0.22656250152052665, "compression_ratio": 1.7574257425742574, "no_speech_prob": 0.0, "words": [{"start": 376.46, "end": 376.8, "word": "هذه", "probability": 0.6962890625}, {"start": 376.8, "end": 377.28, 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من البداية في من في ال vector V بده يطلع عندي vector اسمه A B ضد ال U", "tokens": [9566, 3555, 3615, 995, 7251, 3555, 4587, 7578, 44945, 7435, 1829, 24976, 9778, 33546, 10632, 16712, 32277, 27884, 45164, 25961, 18871, 16254, 17912, 316, 4032, 3615, 1863, 16254, 17912, 363, 48812, 25513, 2655, 2423, 363, 8978, 2423, 624, 16070, 29399, 7435, 12602, 2407, 33753, 48812, 25513, 2655, 8978, 316, 46811, 10943, 995, 9122, 15042, 45164, 48812, 25513, 2655, 2423, 732, 8553, 9154, 29739, 28259, 10632, 8978, 9154, 8978, 2423, 8062, 691, 47525, 3224, 7251, 9566, 1211, 3615, 18871, 16254, 8062, 24525, 2304, 3224, 316, 363, 48812, 3215, 2423, 624], "avg_logprob": -0.23628472851382362, "compression_ratio": 1.7277486910994764, "no_speech_prob": 0.0, "words": [{"start": 444.72, "end": 445.38, "word": "طبعا", "probability": 0.686492919921875}, {"start": 445.38, "end": 446.16, "word": " يبقى", "probability": 0.8934326171875}, {"start": 446.16, "end": 446.5, "word": " بنجي", "probability": 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1456.53, "word": " A", "probability": 0.2081298828125}, {"start": 1456.53, "end": 1457.55, "word": " زائد", "probability": 0.5622762044270834}, {"start": 1457.55, "end": 1458.15, "word": " B", "probability": 0.779296875}, {"start": 1458.15, "end": 1459.47, "word": " ضات", "probability": 0.397216796875}, {"start": 1459.47, "end": 1459.91, "word": " ال", "probability": 0.65576171875}, {"start": 1459.91, "end": 1460.23, "word": " U", "probability": 0.53369140625}], "temperature": 1.0}, {"id": 64, "seek": 148987, "start": 1466.05, "end": 1489.87, "text": "هذا مجموع two real numbers يبقى real number واحد يبقى بدي أضرب جوبه حسب الضرب العادى يبقى هذا بقداش ب zero نجي للي بعدها هذه ا زائد ال B في ال X1 وهنا ا زائد ال B في من؟ في ال X2 وهيقفلنا الجزء", "tokens": [3224, 15730, 3714, 7435, 2304, 45367, 732, 957, 3547, 7251, 3555, 4587, 7578, 957, 1230, 36764, 24401, 7251, 3555, 4587, 7578, 4724, 16254, 5551, 11242, 25513, 10874, 37746, 3224, 11331, 35457, 6024, 114, 25513, 18863, 18513, 7578, 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"probability": 0.7215169270833334}, {"start": 1475.31, "end": 1475.97, "word": " ب", "probability": 0.408203125}, {"start": 1475.97, "end": 1476.47, "word": " zero", "probability": 0.290771484375}, {"start": 1476.47, "end": 1477.29, "word": " نجي", "probability": 0.75537109375}, {"start": 1477.29, "end": 1477.59, "word": " للي", "probability": 0.784912109375}, {"start": 1477.59, "end": 1478.21, "word": " بعدها", "probability": 0.95263671875}, {"start": 1478.21, "end": 1479.23, "word": " هذه", "probability": 0.463134765625}, {"start": 1479.23, "end": 1479.85, "word": " ا", "probability": 0.471435546875}, {"start": 1479.85, "end": 1481.23, "word": " زائد", "probability": 0.6842447916666666}, {"start": 1481.23, "end": 1481.53, "word": " ال", "probability": 0.67431640625}, {"start": 1481.53, "end": 1481.79, "word": " B", "probability": 0.272705078125}, {"start": 1481.79, "end": 1482.39, "word": " في", "probability": 0.7841796875}, {"start": 1482.39, "end": 1482.49, "word": " ال", "probability": 0.82177734375}, {"start": 1482.49, "end": 1483.15, "word": " X1", "probability": 0.658935546875}, {"start": 1483.15, "end": 1484.53, "word": " وهنا", "probability": 0.824462890625}, {"start": 1484.53, "end": 1485.19, "word": " ا", "probability": 0.60986328125}, {"start": 1485.19, "end": 1486.13, "word": " زائد", "probability": 0.9612630208333334}, {"start": 1486.13, "end": 1486.33, "word": " ال", "probability": 0.83056640625}, {"start": 1486.33, "end": 1486.49, "word": " B", "probability": 0.9208984375}, {"start": 1486.49, "end": 1486.73, "word": " في", "probability": 0.97607421875}, {"start": 1486.73, "end": 1487.17, "word": " من؟", "probability": 0.413330078125}, {"start": 1487.17, "end": 1487.61, "word": " في", "probability": 0.63427734375}, {"start": 1487.61, "end": 1487.75, "word": " ال", "probability": 0.80126953125}, {"start": 1487.75, "end": 1488.37, "word": " X2", "probability": 0.98486328125}, {"start": 1488.37, "end": 1489.43, "word": " وهيقفلنا", 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{"start": 1507.87, "end": 1508.27, "word": " X", "probability": 0.9013671875}, {"start": 1508.27, "end": 1508.71, "word": " one", "probability": 0.90185546875}, {"start": 1508.71, "end": 1509.85, "word": " فاصلة", "probability": 0.9410807291666666}, {"start": 1509.85, "end": 1510.31, "word": " A", "probability": 0.82861328125}, {"start": 1510.31, "end": 1510.65, "word": " X", "probability": 0.72265625}, {"start": 1510.65, "end": 1511.03, "word": " two", "probability": 0.8916015625}, {"start": 1511.03, "end": 1512.07, "word": " زائد", "probability": 0.96875}, {"start": 1512.07, "end": 1512.79, "word": " بي", "probability": 0.955810546875}, {"start": 1512.79, "end": 1513.17, "word": " X", "probability": 0.9921875}, {"start": 1513.17, "end": 1513.51, "word": " two", "probability": 0.92724609375}], "temperature": 1.0}, {"id": 66, "seek": 153406, "start": 1515.32, "end": 1534.06, "text": "ممكن اجزئها الى two vectors يبقى هذه بقدر اقول zero و ax1 و ax2 زائد zero و bx1 و bx2", "tokens": 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1829, 12984, 1783, 4032, 398, 3714, 29245, 23328, 3660, 8978, 992, 295, 957, 3547, 833, 7713, 4500], "avg_logprob": -0.3490349334828994, "compression_ratio": 1.1293103448275863, "no_speech_prob": 0.0, "words": [{"start": 1824.96, "end": 1826.02, "word": "كل", "probability": 0.046966552734375}, {"start": 1826.02, "end": 1827.08, "word": " العناصر", "probability": 0.927001953125}, {"start": 1827.08, "end": 1827.3, "word": " على", "probability": 0.73095703125}, {"start": 1827.3, "end": 1827.86, "word": " الشكل", "probability": 0.904296875}, {"start": 1827.86, "end": 1828.54, "word": " واحد", "probability": 0.78857421875}, {"start": 1828.54, "end": 1828.7, "word": " و", "probability": 0.8134765625}, {"start": 1828.7, "end": 1829.24, "word": " X", "probability": 0.63623046875}, {"start": 1829.24, "end": 1829.58, "word": " و", "probability": 0.916015625}, {"start": 1829.58, "end": 1830.1, "word": " Y", "probability": 0.544921875}, {"start": 1830.1, "end": 1832.98, "word": " بحيث", 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"probability": 0.8681640625}], "temperature": 1.0}, {"id": 80, "seek": 187009, "start": 1840.93, "end": 1870.09, "text": "under usual addition تحت عملية الجامعة العادية and وفي نفس الوقت usual scalar multiplication usual scalar multiplication تحت عملية الجامعة الدرب والجامعة العادية then", "tokens": [6617, 7713, 4500, 6055, 33753, 6225, 42213, 10632, 25724, 10943, 27884, 18863, 18513, 10632, 293, 4032, 41185, 8717, 36178, 2423, 30543, 2655, 7713, 39684, 27290, 7713, 39684, 27290, 6055, 33753, 6225, 42213, 10632, 25724, 10943, 27884, 32748, 25513, 16070, 7435, 10943, 27884, 18863, 18513, 10632, 550], "avg_logprob": -0.1576629046429979, "compression_ratio": 1.8425196850393701, "no_speech_prob": 0.0, "words": [{"start": 1840.93, "end": 1841.59, "word": "under", "probability": 0.2705078125}, {"start": 1841.59, "end": 1843.29, "word": " usual", "probability": 0.80908203125}, {"start": 1843.29, "end": 1845.13, "word": " addition", "probability": 0.900390625}, {"start": 1845.13, "end": 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0.59033203125}, {"start": 1857.03, "end": 1859.31, "word": " scalar", "probability": 0.95703125}, {"start": 1859.31, "end": 1863.25, "word": " multiplication", "probability": 0.7685546875}, {"start": 1863.25, "end": 1866.37, "word": " تحت", "probability": 0.913330078125}, {"start": 1866.37, "end": 1866.69, "word": " عملية", "probability": 0.9845377604166666}, {"start": 1866.69, "end": 1867.03, "word": " الجامعة", "probability": 0.9720052083333334}, {"start": 1867.03, "end": 1867.37, "word": " الدرب", "probability": 0.6961669921875}, {"start": 1867.37, "end": 1868.77, "word": " والجامعة", "probability": 0.9356689453125}, {"start": 1868.77, "end": 1869.33, "word": " العادية", "probability": 0.9925130208333334}, {"start": 1869.33, "end": 1870.09, "word": " then", "probability": 0.78173828125}], "temperature": 1.0}, {"id": 81, "seek": 188643, "start": 1871.45, "end": 1886.43, "text": "is not a vector space", "tokens": [271, 406, 257, 8062, 1901], "avg_logprob": -0.783203144868215, "compression_ratio": 0.7241379310344828, "no_speech_prob": 0.0, "words": [{"start": 1871.45, "end": 1872.07, "word": "is", "probability": 0.060638427734375}, {"start": 1872.07, "end": 1878.19, "word": " not", "probability": 0.95556640625}, {"start": 1878.19, "end": 1879.85, "word": " a", "probability": 0.89111328125}, {"start": 1879.85, "end": 1880.27, "word": " vector", "probability": 0.9638671875}, {"start": 1880.27, "end": 1886.43, "word": " space", "probability": 0.919921875}], "temperature": 1.0}, {"id": 82, "seek": 192210, "start": 1892.72, "end": 1922.1, "text": "ومجرد النظر هذا ال 6 اللي عندنا هذه تحت عملية الجمع العادية و الضرب العادية ليست في الاقتراضية ليه؟ بدي واحدة تحكي بس واحدة ترفع أيديها و تحكي انا بقول فيش zero element ماعشي الحالة هذا وجهة نظر في وجهة نظر ��انية؟ قبل ال zero طب شوفي اللي قبل ال zero اجمع اتنين اجمع لو جمعت اتنين ايش بطلع؟", "tokens": [2407, 2304, 7435, 2288, 3215, 28239, 19913, 2288, 23758, 2423, 1386, 13672, 1829, 43242, 8315, 29538, 6055, 33753, 6225, 42213, 10632, 25724, 2304, 3615, 18863, 18513, 10632, 4032, 6024, 114, 25513, 18863, 18513, 10632, 32239, 14851, 8978, 42963, 38149, 2288, 46958, 10632, 32239, 3224, 22807, 4724, 16254, 36764, 24401, 3660, 6055, 5016, 4117, 1829, 4724, 3794, 36764, 24401, 3660, 6055, 28480, 3615, 36632, 16254, 11296, 4032, 6055, 5016, 4117, 1829, 1975, 8315, 4724, 39648, 8978, 8592, 4018, 4478, 19446, 3615, 8592, 1829, 2423, 5016, 6027, 3660, 23758, 49610, 3224, 3660, 8717, 19913, 2288, 8978, 49610, 3224, 3660, 8717, 19913, 2288, 6055, 7649, 10632, 22807, 12174, 36150, 2423, 4018, 23032, 3555, 13412, 38688, 1829, 13672, 1829, 12174, 36150, 2423, 4018, 1975, 7435, 2304, 3615, 1975, 2655, 1863, 9957, 1975, 7435, 2304, 3615, 45164, 10874, 2304, 34268, 1975, 2655, 1863, 9957, 1975, 1829, 8592, 4724, 9566, 1211, 3615, 22807], "avg_logprob": -0.2797719493911073, "compression_ratio": 2.008, "no_speech_prob": 0.0, "words": [{"start": 1892.72, "end": 1893.24, "word": "ومجرد", "probability": 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ترفع", "probability": 0.9617513020833334}, {"start": 1904.04, "end": 1904.24, "word": " أيديها", "probability": 0.5384114583333334}, {"start": 1904.24, "end": 1904.34, "word": " و", "probability": 0.453857421875}, {"start": 1904.34, "end": 1904.52, "word": " تحكي", "probability": 0.8275146484375}, {"start": 1904.52, "end": 1904.88, "word": " انا", "probability": 0.6068115234375}, {"start": 1904.88, "end": 1905.16, "word": " بقول", "probability": 0.825439453125}, {"start": 1905.16, "end": 1905.44, "word": " فيش", "probability": 0.54022216796875}, {"start": 1905.44, "end": 1905.88, "word": " zero", "probability": 0.5595703125}, {"start": 1905.88, "end": 1908.02, "word": " element", "probability": 0.90087890625}, {"start": 1908.02, "end": 1908.84, "word": " ماعشي", "probability": 0.55816650390625}, {"start": 1908.84, "end": 1909.18, "word": " الحالة", "probability": 0.681884765625}, {"start": 1909.18, "end": 1909.34, "word": " هذا", "probability": 0.6533203125}, {"start": 1909.34, "end": 1909.68, "word": " وجهة", "probability": 0.8875325520833334}, {"start": 1909.68, "end": 1910.34, "word": " نظر", "probability": 0.98876953125}, {"start": 1910.34, "end": 1910.58, "word": " في", "probability": 0.65576171875}, {"start": 1910.58, "end": 1910.88, "word": " وجهة", "probability": 0.98095703125}, {"start": 1910.88, "end": 1911.14, "word": " نظر", "probability": 0.9969075520833334}, {"start": 1911.14, "end": 1912.42, "word": " تانية؟", "probability": 0.8509521484375}, {"start": 1912.42, "end": 1914.14, "word": " قبل", "probability": 0.71240234375}, {"start": 1914.14, "end": 1914.28, "word": " ال", "probability": 0.51171875}, {"start": 1914.28, "end": 1914.52, "word": " zero", "probability": 0.71044921875}, {"start": 1914.52, "end": 1914.74, "word": " طب", "probability": 0.909912109375}, {"start": 1914.74, "end": 1915.04, "word": " شوفي", "probability": 0.8779296875}, {"start": 1915.04, "end": 1915.2, "word": " اللي", "probability": 0.893798828125}, {"start": 1915.2, "end": 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تتحقق صحيح ولا لأ بروح بقوله هذا is not a vector space because", "tokens": [1829, 3555, 4587, 7578, 6225, 42213, 3224, 25724, 10943, 27884, 20193, 6055, 2655, 5016, 4587, 4587, 20328, 5016, 1829, 5016, 49429, 5296, 10721, 4724, 32887, 5016, 4724, 39648, 3224, 23758, 307, 406, 257, 8062, 1901, 570], "avg_logprob": -0.41047297297297297, "compression_ratio": 1.1454545454545455, "no_speech_prob": 1.1920928955078125e-06, "words": [{"start": 1926.54, "end": 1927.46, "word": "يبقى", "probability": 0.6987762451171875}, {"start": 1927.46, "end": 1927.78, "word": " عمله", "probability": 0.5254720052083334}, {"start": 1927.78, "end": 1928.16, "word": " الجامعة", "probability": 0.900390625}, {"start": 1928.16, "end": 1928.3, "word": " لا", "probability": 0.386962890625}, {"start": 1928.3, "end": 1929.06, "word": " تتحقق", "probability": 0.9603515625}, {"start": 1929.06, "end": 1929.38, "word": " صحيح", "probability": 0.773712158203125}, {"start": 1929.38, "end": 1929.48, "word": " ولا", 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{"start": 2139.71, "end": 2140.27, "word": " يبجد", "probability": 0.81689453125}, {"start": 2140.27, "end": 2140.59, "word": " ان", "probability": 0.337158203125}, {"start": 2140.59, "end": 2140.93, "word": " ال", "probability": 0.53759765625}, {"start": 2140.93, "end": 2141.35, "word": " V", "probability": 0.984375}, {"start": 2141.35, "end": 2142.49, "word": " is", "probability": 0.337158203125}, {"start": 2142.49, "end": 2143.75, "word": " not", "probability": 0.904296875}, {"start": 2143.75, "end": 2145.17, "word": " a", "probability": 0.8193359375}, {"start": 2145.17, "end": 2145.89, "word": " vector", "probability": 0.60693359375}, {"start": 2145.89, "end": 2147.83, "word": " space", "probability": 0.875}, {"start": 2147.83, "end": 2148.99, "word": " because", "probability": 0.79638671875}], "temperature": 1.0}, {"id": 92, "seek": 217076, "start": 2154.18, "end": 2170.76, "text": "it does not contain the zero matrix since", "tokens": [270, 775, 406, 5304, 264, 4018, 8141, 1670], "avg_logprob": -0.23372395833333334, "compression_ratio": 0.8541666666666666, "no_speech_prob": 0.0, "words": [{"start": 2154.18, "end": 2154.76, "word": "it", "probability": 0.46826171875}, {"start": 2154.76, "end": 2156.18, "word": " does", "probability": 0.89208984375}, {"start": 2156.18, "end": 2158.08, "word": " not", "probability": 0.95703125}, {"start": 2158.08, "end": 2160.42, "word": " contain", "probability": 0.93408203125}, {"start": 2160.42, "end": 2163.1, "word": " the", "probability": 0.89453125}, {"start": 2163.1, "end": 2165.1, "word": " zero", "probability": 0.7958984375}, {"start": 2165.1, "end": 2167.4, "word": " matrix", "probability": 0.94873046875}, {"start": 2167.4, "end": 2170.76, "word": " since", "probability": 0.72607421875}], "temperature": 1.0}, {"id": 93, "seek": 220173, "start": 2175.64, "end": 2201.74, "text": "الـ Determinant للمصفوف Zero يبقى Zero يبقى الخاصية تبع الأنصار الصفرية لم تتحقق لذلك هذا ليس Vector Space فبالمثال رقم أربعة بقول Let", 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