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"فولدنا لها n من عندنا جبنا لها n من عندنا تمام بهذا الشكل أصبح بكل بساطة بتقدر تتعامل معاها الان قيمة n المناسبة تقسم على b عشان تعطي جدر اتنين إذا والله في قيمة ل n معناته هي rational فإحنا الفرضية إيش بتقول is no positive", "tokens": [5172, 12610, 3215, 8315, 5296, 11296, 297, 9154, 43242, 8315, 10874, 3555, 8315, 5296, 11296, 297, 9154, 43242, 8315, 46811, 10943, 39627, 15730, 25124, 28820, 5551, 9381, 49628, 4724, 28820, 4724, 3794, 41193, 3660, 39894, 28543, 2288, 6055, 2655, 3615, 10943, 1211, 20449, 995, 11296, 2423, 7649, 12174, 32640, 3660, 297, 9673, 8315, 35457, 3660, 6055, 4587, 38251, 15844, 272, 6225, 8592, 7649, 37279, 9566, 1829, 10874, 3215, 2288, 1975, 2655, 1863, 9957, 11933, 15730, 16070, 43761, 8978, 12174, 32640, 3660, 5296, 297, 20449, 8315, 47395, 39896, 15090, 6156, 28814, 5016, 8315, 27188, 43042, 10632, 11933, 1829, 8592, 39894, 39648, 307, 572, 3353], "avg_logprob": -0.14716045157267496, "compression_ratio": 1.6936936936936937, "no_speech_prob": 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نحط تحتها تلتة اربعة خطوط هذه no positive معناه ذلك ان انا بتكلم انه لا يوجد لان لقدام شوية بدنا نضلنا نبركزين ان انا بتكلم عن لا يوجد فالاثبات انه لا يوجد النفي تبعها بيصير انه يوجد جبل ما نعد النقطة هذه واضحة واضحة", "tokens": [271, 572, 3353, 6156, 25528, 16572, 2655, 8717, 5016, 9566, 6055, 33753, 11296, 6055, 1211, 2655, 3660, 1975, 25513, 27884, 16490, 9566, 2407, 9566, 29538, 572, 3353, 20449, 8315, 3224, 29910, 23275, 16472, 1975, 8315, 39894, 4117, 19528, 16472, 3224, 20193, 7251, 29245, 3215, 5296, 7649, 5296, 28543, 10943, 13412, 2407, 10632, 47525, 8315, 8717, 11242, 1211, 8315, 8717, 26890, 4117, 11622, 9957, 16472, 1975, 8315, 39894, 4117, 19528, 18871, 20193, 7251, 29245, 3215, 6156, 6027, 5718, 104, 3555, 9307, 16472, 3224, 20193, 7251, 29245, 3215, 28239, 41185, 6055, 3555, 3615, 11296, 4724, 1829, 9381, 13546, 16472, 3224, 7251, 29245, 3215, 10874, 36150, 19446, 8717, 22488, 28239, 47432, 3660, 29538, 4032, 46958, 5016, 3660, 4032, 46958, 5016, 3660], "avg_logprob": 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الواحد", "probability": 0.9910481770833334}], "temperature": 1.0}, {"id": 51, "seek": 134143, "start": 1322.37, "end": 1341.43, "text": "خلصنا ال business step حتى اللحظة هي ال business step تمام لكل قيم طبعا مين بيه أكبر من أو يساوي واحد لأنه إذا كانت أكبر من الواحد كمان معناته بالعكس صارت fraction يعني كمان أقل من الواحد فهي بالضروري أكيد مش هتكون تساوي الاتنين اللي أنا عارف انه زادر اتنين أكبر من واحد", "tokens": [9778, 1211, 9381, 8315, 2423, 1606, 1823, 11331, 49975, 13672, 5016, 19913, 3660, 39896, 2423, 1606, 1823, 46811, 10943, 5296, 28820, 12174, 32640, 23032, 3555, 3615, 995, 3714, 9957, 4724, 1829, 3224, 5551, 4117, 26890, 9154, 34051, 7251, 3794, 995, 45865, 36764, 24401, 5296, 33456, 3224, 11933, 15730, 25961, 2655, 5551, 4117, 26890, 9154, 2423, 14407, 24401, 9122, 2304, 7649, 20449, 8315, 47395, 20666, 3615, 4117, 3794, 20328, 9640, 2655, 14135, 37495, 22653, 9122, 2304, 7649, 5551, 4587, 1211, 9154, 2423, 14407, 24401, 6156, 3224, 1829, 20666, 11242, 2288, 13063, 1829, 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"probability": 0.3544921875}, {"start": 1324.97, "end": 1325.31, "word": " business", "probability": 0.91845703125}, {"start": 1325.31, "end": 1325.71, "word": " step", "probability": 0.94873046875}, {"start": 1325.71, "end": 1326.47, "word": " تمام", "probability": 0.879150390625}, {"start": 1326.47, "end": 1327.55, "word": " لكل", "probability": 0.889892578125}, {"start": 1327.55, "end": 1327.85, "word": " قيم", "probability": 0.976318359375}, {"start": 1327.85, "end": 1328.21, "word": " طبعا", "probability": 0.937744140625}, {"start": 1328.21, "end": 1328.53, "word": " مين", "probability": 0.78125}, {"start": 1328.53, "end": 1329.63, "word": " بيه", "probability": 0.732421875}, {"start": 1329.63, "end": 1329.91, "word": " أكبر", "probability": 0.8907877604166666}, {"start": 1329.91, "end": 1330.05, "word": " من", "probability": 0.9560546875}, {"start": 1330.05, "end": 1330.17, "word": " أو", "probability": 0.82421875}, {"start": 1330.17, "end": 1330.47, "word": " يساوي", "probability": 0.90478515625}, {"start": 1330.47, "end": 1330.77, "word": " واحد", "probability": 0.907470703125}, {"start": 1330.77, "end": 1331.11, "word": " لأنه", "probability": 0.8668619791666666}, {"start": 1331.11, "end": 1331.21, "word": " إذا", "probability": 0.771484375}, {"start": 1331.21, "end": 1331.47, "word": " كانت", "probability": 0.96337890625}, {"start": 1331.47, "end": 1331.77, "word": " أكبر", "probability": 0.9625651041666666}, {"start": 1331.77, "end": 1331.93, "word": " من", "probability": 0.99267578125}, {"start": 1331.93, "end": 1332.39, "word": " الواحد", "probability": 0.89892578125}, {"start": 1332.39, "end": 1332.83, "word": " كمان", "probability": 0.9563802083333334}, {"start": 1332.83, "end": 1333.27, "word": " معناته", "probability": 0.900390625}, {"start": 1333.27, "end": 1333.57, "word": " بالعكس", "probability": 0.956298828125}, {"start": 1333.57, "end": 1333.77, "word": " صارت", "probability": 0.9228515625}, {"start": 1333.77, "end": 1334.17, 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"end": 1338.89, "word": " الاتنين", "probability": 0.77850341796875}, {"start": 1338.89, "end": 1339.01, "word": " اللي", "probability": 0.931396484375}, {"start": 1339.01, "end": 1339.15, "word": " أنا", "probability": 0.67529296875}, {"start": 1339.15, "end": 1339.47, "word": " عارف", "probability": 0.9676106770833334}, {"start": 1339.47, "end": 1339.65, "word": " انه", "probability": 0.6993408203125}, {"start": 1339.65, "end": 1339.87, "word": " زادر", "probability": 0.82958984375}, {"start": 1339.87, "end": 1340.27, "word": " اتنين", "probability": 0.9466552734375}, {"start": 1340.27, "end": 1340.91, "word": " أكبر", "probability": 0.9453125}, {"start": 1340.91, "end": 1341.05, "word": " من", "probability": 0.99462890625}, {"start": 1341.05, "end": 1341.43, "word": " واحد", "probability": 0.9892578125}], "temperature": 1.0}, {"id": 52, "seek": 137008, "start": 1342.84, "end": 1370.08, "text": "أحنا مسبقا عارفين أنه أكبر من واحد صح؟ فإذا أي كسر واحد على أي رقم positive مستحيل يكون بيساوي ذات الأتنين لأنه حيكون fraction فخلصنا ال business step ال inductive step ال inductive step الآن في ال inductive step assume that P of J is true طيب مين J هذي؟ لكل القيم J أقل من أو يسوى K strong", "tokens": [10721, 5016, 8315, 3714, 35457, 4587, 995, 6225, 9640, 5172, 9957, 14739, 3224, 5551, 4117, 26890, 9154, 36764, 24401, 20328, 5016, 22807, 6156, 28814, 15730, 36632, 9122, 3794, 2288, 36764, 24401, 15844, 36632, 12602, 4587, 2304, 3353, 3714, 14851, 5016, 26895, 7251, 30544, 4724, 1829, 3794, 995, 45865, 29910, 9307, 16247, 2655, 1863, 9957, 5296, 33456, 3224, 11331, 1829, 30544, 14135, 6156, 9778, 1211, 9381, 8315, 2423, 1606, 1823, 2423, 31612, 488, 1823, 2423, 31612, 488, 1823, 6024, 48506, 8978, 2423, 31612, 488, 1823, 6552, 300, 430, 295, 508, 307, 2074, 23032, 1829, 3555, 3714, 9957, 508, 8032, 8848, 1829, 22807, 5296, 28820, 25062, 32640, 508, 5551, 4587, 1211, 9154, 34051, 7251, 3794, 2407, 7578, 591, 2068], "avg_logprob": -0.22457627257553198, "compression_ratio": 1.6259541984732824, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 1342.84, "end": 1343.14, "word": "أحنا", "probability": 0.7826334635416666}, {"start": 1343.14, "end": 1343.52, "word": " مسبقا", "probability": 0.82666015625}, {"start": 1343.52, "end": 1343.78, "word": " عارفين", "probability": 0.8331298828125}, {"start": 1343.78, "end": 1343.94, "word": " أنه", "probability": 0.517822265625}, {"start": 1343.94, "end": 1344.24, "word": " أكبر", "probability": 0.9103190104166666}, {"start": 1344.24, "end": 1344.38, "word": " من", "probability": 0.98388671875}, {"start": 1344.38, "end": 1344.7, "word": " واحد", "probability": 0.795654296875}, {"start": 1344.7, "end": 1345.64, "word": " صح؟", "probability": 0.591552734375}, {"start": 1345.64, "end": 1346.12, "word": " فإذا", "probability": 0.8650716145833334}, {"start": 1346.12, "end": 1346.86, "word": " أي", "probability": 0.673828125}, {"start": 1346.86, "end": 1347.54, "word": " كسر", "probability": 0.86083984375}, {"start": 1347.54, "end": 1348.54, "word": " واحد", "probability": 0.9501953125}, {"start": 1348.54, "end": 1348.72, "word": " على", "probability": 0.80859375}, {"start": 1348.72, "end": 1349.0, "word": " أي", "probability": 0.865234375}, {"start": 1349.0, "end": 1349.48, "word": " رقم", "probability": 0.9938151041666666}, {"start": 1349.48, "end": 1350.14, "word": " positive", "probability": 0.84814453125}, {"start": 1350.14, "end": 1350.78, "word": " مستحيل", "probability": 0.97119140625}, {"start": 1350.78, "end": 1350.98, "word": " يكون", "probability": 0.990478515625}, {"start": 1350.98, "end": 1351.26, "word": " بيساوي", "probability": 0.84326171875}, {"start": 1351.26, "end": 1351.44, "word": " ذات", "probability": 0.34552001953125}, {"start": 1351.44, "end": 1351.82, "word": " الأتنين", "probability": 0.7786865234375}, {"start": 1351.82, "end": 1352.62, "word": " لأنه", "probability": 0.91259765625}, {"start": 1352.62, "end": 1352.84, "word": " حيكون", "probability": 0.776611328125}, {"start": 1352.84, "end": 1353.28, "word": " fraction", "probability": 0.81982421875}, {"start": 1353.28, "end": 1354.22, "word": " فخلصنا", "probability": 0.97158203125}, {"start": 1354.22, "end": 1354.3, "word": " ال", "probability": 0.919921875}, {"start": 1354.3, "end": 1354.48, "word": " business", "probability": 0.7265625}, {"start": 1354.48, "end": 1354.72, "word": " step", "probability": 0.9248046875}, {"start": 1354.72, "end": 1355.64, "word": " ال", "probability": 0.82470703125}, {"start": 1355.64, "end": 1355.98, "word": " inductive", "probability": 0.889892578125}, {"start": 1355.98, "end": 1356.34, "word": " step", "probability": 0.98095703125}, {"start": 1356.34, "end": 1357.36, "word": " ال", "probability": 0.666015625}, {"start": 1357.36, "end": 1357.98, "word": " inductive", "probability": 0.88623046875}, {"start": 1357.98, "end": 1358.46, "word": " step", "probability": 0.9580078125}, {"start": 1358.46, "end": 1359.08, "word": " الآن", "probability": 0.57843017578125}, {"start": 1359.08, "end": 1359.2, "word": " في", "probability": 0.8828125}, {"start": 1359.2, "end": 1359.3, "word": " ال", "probability": 0.841796875}, {"start": 1359.3, "end": 1359.64, "word": " inductive", "probability": 0.901123046875}, {"start": 1359.64, "end": 1360.88, "word": " step", "probability": 0.9501953125}, {"start": 1360.88, "end": 1361.6, "word": " assume", "probability": 0.8115234375}, {"start": 1361.6, "end": 1362.08, "word": " that", "probability": 0.916015625}, {"start": 1362.08, "end": 1362.66, "word": " P", "probability": 0.78515625}, {"start": 1362.66, "end": 1363.08, "word": " of", "probability": 0.7314453125}, {"start": 1363.08, "end": 1363.5, "word": " J", "probability": 0.8232421875}, {"start": 1363.5, "end": 1363.92, "word": " is", "probability": 0.93701171875}, {"start": 1363.92, "end": 1364.28, "word": " true", "probability": 0.93994140625}, {"start": 1364.28, "end": 1364.92, "word": " طيب", "probability": 0.8548177083333334}, {"start": 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139817, "start": 1371.19, "end": 1398.17, "text": "proof أنا هنا بتكلم عن ال strong proof وهذا النقطة اللي كنتوا بتقوليها صح ال strong proof فإذا أنا بتكلم هنا عن P of J is true لكل mean J هذه لكل القيم اللي أقل من K ابتداء طبعا من ال mean من ال business step من الواحد الواحد والاتنين والتلاتة والاربعة والخمسة والستة والتمانية والتسعة to K إذا كلهم فعلا بيحققوا نفس", "tokens": [15690, 41850, 34105, 39894, 4117, 19528, 18871, 2423, 2068, 8177, 37037, 15730, 28239, 47432, 3660, 13672, 1829, 9122, 29399, 14407, 39894, 39648, 1829, 11296, 20328, 5016, 2423, 2068, 8177, 6156, 28814, 15730, 41850, 39894, 4117, 19528, 34105, 18871, 430, 295, 508, 307, 2074, 5296, 28820, 914, 508, 29538, 5296, 28820, 25062, 32640, 13672, 1829, 5551, 4587, 1211, 9154, 591, 48127, 2655, 3215, 16606, 23032, 3555, 3615, 995, 9154, 2423, 914, 9154, 2423, 1606, 1823, 9154, 2423, 14407, 24401, 2423, 14407, 24401, 16070, 9307, 1863, 9957, 16070, 2655, 1211, 9307, 3660, 16070, 9640, 3555, 27884, 16070, 9778, 2304, 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"probability": 0.8448893229166666}, {"start": 1422.8, "end": 1423.12, "word": " المعنى", "probability": 0.9163818359375}, {"start": 1423.12, "end": 1423.3, "word": " ذلك", "probability": 0.9814453125}, {"start": 1423.3, "end": 1423.48, "word": " ان", "probability": 0.67578125}, {"start": 1423.48, "end": 1424.04, "word": " جذر", "probability": 0.99072265625}, {"start": 1424.04, "end": 1425.14, "word": " اتنين", "probability": 0.98486328125}, {"start": 1425.14, "end": 1425.98, "word": " لا", "probability": 0.8603515625}, {"start": 1425.98, "end": 1426.84, "word": " يساوي", "probability": 0.927001953125}, {"start": 1426.84, "end": 1427.34, "word": " J", "probability": 0.81396484375}, {"start": 1427.34, "end": 1427.78, "word": " over", "probability": 0.791015625}, {"start": 1427.78, "end": 1428.2, "word": " P", "probability": 0.99169921875}], "temperature": 1.0}, {"id": 55, "seek": 144917, "start": 1428.69, "end": 1449.17, "text": "لأن هذه هي الفرضية اللي أنا أفرضها at k الشيء أنا جاهاد بقول أنه الفرضيتي الصحيحة at k طب strong proof معناته at k وكل ما قبلها is true مدام is true معناته لا تساوي g over b", "tokens": [1211, 33456, 29538, 39896, 27188, 43042, 10632, 13672, 1829, 41850, 5551, 5172, 43042, 11296, 412, 350, 25124, 1829, 38207, 41850, 10874, 995, 11296, 3215, 4724, 39648, 14739, 3224, 27188, 43042, 1829, 31371, 31767, 5016, 1829, 5016, 3660, 412, 350, 23032, 3555, 2068, 8177, 20449, 8315, 47395, 412, 350, 4032, 28820, 19446, 12174, 36150, 11296, 307, 2074, 3714, 3215, 10943, 307, 2074, 20449, 8315, 47395, 20193, 6055, 3794, 995, 45865, 290, 670, 272], "avg_logprob": -0.2581335616438356, "compression_ratio": 1.5847953216374269, "no_speech_prob": 2.5033950805664062e-06, "words": [{"start": 1428.69, "end": 1428.99, "word": "لأن", "probability": 0.766357421875}, {"start": 1428.99, "end": 1429.23, "word": " هذه", "probability": 0.53955078125}, {"start": 1429.23, "end": 1429.69, "word": " هي", "probability": 0.845703125}, {"start": 1429.69, "end": 1431.21, "word": 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واحد و هنا بتاخد N زائد واحد لأ دي التربية حتى بتضل التربية زي ما هي التربية مش هناخدها بتضلها زي ما هي فهنا بتضل واحد زائد", "tokens": [39237, 10943, 22807, 3714, 19913, 3555, 2407, 9566, 3660, 39896, 4117, 22807, 9122, 45865, 3794, 11933, 1829, 8592, 13672, 1829, 5551, 9778, 3215, 8315, 6225, 10943, 1211, 37893, 2655, 31747, 39182, 39896, 28820, 22807, 5551, 9778, 3215, 8315, 2423, 389, 6225, 10943, 1211, 37893, 2655, 31747, 5551, 9778, 3215, 8315, 2423, 389, 6225, 10943, 1211, 37893, 2655, 31747, 4724, 5016, 1829, 12984, 14739, 3224, 7251, 11242, 1211, 43242, 4117, 34105, 36764, 24401, 4032, 34105, 39894, 47283, 3215, 426, 30767, 16373, 3215, 36764, 24401, 5296, 10721, 11778, 1829, 16712, 25513, 10632, 11331, 49975, 39894, 11242, 1211, 16712, 25513, 10632, 30767, 1829, 19446, 39896, 16712, 25513, 10632, 37893, 8032, 1863, 47283, 3215, 11296, 39894, 11242, 1211, 11296, 30767, 1829, 19446, 39896, 6156, 3224, 8315, 39894, 11242, 1211, 36764, 24401, 30767, 16373, 3215], "avg_logprob": 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