diff --git "a/PL9fwy3NUQKwZHPs6l8Fr-st-8cVJxmVek/7KfEZYA9kIA_raw.json" "b/PL9fwy3NUQKwZHPs6l8Fr-st-8cVJxmVek/7KfEZYA9kIA_raw.json" new file mode 100644--- /dev/null +++ "b/PL9fwy3NUQKwZHPs6l8Fr-st-8cVJxmVek/7KfEZYA9kIA_raw.json" @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 5062, "start": 21.84, "end": 50.62, "text": "المحاضرة اللى فاتت بدينا في عرض بعض ال applications of the soprano property و بعتقد ان احنا اخدنا اول مثال اللى هو المثال هذا مظبوط فقولنا انه المثال هذا لو اخدت اى bounded set bounded above وعرفت المجموع a زاد s", "tokens": [45340, 5016, 46958, 25720, 13672, 7578, 6156, 9307, 2655, 4724, 16254, 8315, 8978, 6225, 43042, 45030, 11242, 2423, 5821, 295, 264, 37375, 3730, 4707, 4032, 4724, 34268, 28543, 16472, 1975, 5016, 8315, 1975, 9778, 3215, 8315, 1975, 12610, 50113, 6027, 13672, 7578, 31439, 9673, 12984, 6027, 23758, 3714, 19913, 3555, 2407, 9566, 6156, 39648, 8315, 16472, 3224, 9673, 12984, 6027, 23758, 45164, 1975, 9778, 3215, 2655, 1975, 7578, 37498, 992, 37498, 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162.56, "word": " هي", "probability": 0.9189453125}, {"start": 162.56, "end": 163.12, "word": " ال", "probability": 0.9638671875}, {"start": 163.12, "end": 163.64, "word": " range", "probability": 0.95654296875}, {"start": 163.64, "end": 164.12, "word": " تبع", "probability": 0.9925130208333334}, {"start": 164.12, "end": 164.4, "word": " ال", "probability": 0.9765625}, {"start": 164.4, "end": 164.8, "word": " function", "probability": 0.978515625}, {"start": 164.8, "end": 166.0, "word": " G", "probability": 0.978515625}], "temperature": 1.0}, {"id": 6, "seek": 18643, "start": 168.51, "end": 186.43, "text": "فلو فرضنا ان ال set f of d و ال set g of d bounded set R فطبعا حسب ال supremum property المجموعات دول كل واحدة لها supremum كذلك حسب ال infimum property", "tokens": [5172, 1211, 2407, 6156, 43042, 8315, 16472, 2423, 992, 283, 295, 274, 4032, 2423, 992, 290, 295, 274, 37498, 992, 497, 6156, 9566, 3555, 3615, 995, 11331, 35457, 2423, 23710, 449, 4707, 9673, 7435, 2304, 45367, 9307, 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"end": 212.61, "text": "المجمعتين هذول كل واحدة فيهم إلها infimum، الـ infimum تبعهم exist إذا نفرض إن المجمعتين هذول bounded عشان إيه نضمن وجود ال suprem والinfimum لكل واحدة منهم الآن في عندي بدي أبرن حاجة تانية لو كان الفرض f of x أصغر من أو ساوي g of x بتحقق لكل x دي", "tokens": [45340, 7435, 2304, 34268, 9957, 8032, 8848, 12610, 28242, 36764, 24401, 3660, 8978, 16095, 11933, 1211, 11296, 1536, 332, 449, 12399, 2423, 39184, 1536, 332, 449, 6055, 3555, 3615, 16095, 2514, 11933, 15730, 8717, 5172, 43042, 36145, 9673, 7435, 2304, 34268, 9957, 8032, 8848, 12610, 37498, 6225, 8592, 7649, 11933, 1829, 3224, 8717, 11242, 27842, 49610, 23328, 2423, 23710, 16070, 19920, 332, 449, 5296, 28820, 36764, 24401, 3660, 9154, 16095, 6024, 48506, 8978, 18871, 16254, 4724, 16254, 5551, 26890, 1863, 11331, 26108, 3660, 6055, 7649, 10632, 45164, 25961, 27188, 43042, 283, 295, 2031, 5551, 9381, 17082, 2288, 9154, 34051, 8608, 995, 45865, 290, 295, 2031, 39894, 5016, 4587, 4587, 5296, 28820, 2031, 11778, 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of X أصغر من أو ساوي ال supremum ل G of D وهذا صحيح لكل X في D هذا معناه انه العدد هذا", "tokens": [289, 5260, 81, 822, 16472, 16472, 4724, 9566, 1211, 3615, 16472, 16254, 479, 295, 1783, 5551, 9381, 17082, 2288, 9154, 34051, 8608, 995, 45865, 2423, 23710, 449, 5296, 460, 295, 413, 37037, 15730, 20328, 5016, 1829, 5016, 5296, 28820, 1783, 8978, 413, 23758, 20449, 8315, 3224, 16472, 3224, 18863, 3215, 3215, 23758], "avg_logprob": -0.24218749550153623, "compression_ratio": 1.2536231884057971, "no_speech_prob": 0.0, "words": [{"start": 363.45, "end": 364.45, "word": "arbitrary", "probability": 0.7298583984375}, {"start": 364.45, "end": 365.45, "word": " ان", "probability": 0.2403564453125}, {"start": 365.45, "end": 365.59, "word": " ان", "probability": 0.5078125}, {"start": 365.59, "end": 365.99, "word": " بطلع", "probability": 0.8780517578125}, {"start": 365.99, "end": 366.45, "word": " اندي", "probability": 0.6324462890625}, {"start": 366.45, "end": 367.71, "word": " F", "probability": 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{"start": 1705.72, "end": 1705.92, "word": " ال", "probability": 0.7509765625}, {"start": 1705.92, "end": 1706.18, "word": " will", "probability": 0.453125}, {"start": 1706.18, "end": 1706.76, "word": " ordering", "probability": 0.85498046875}, {"start": 1706.76, "end": 1707.7, "word": " property", "probability": 0.96240234375}], "temperature": 1.0}, {"id": 65, "seek": 173696, "start": 1709.4, "end": 1736.96, "text": "وهذه في الحقيقة بتدرسها في نهاية في أخر chapter في مبادئ رياضيات ال will ordering property بتقول ان every non-empty subset of N has a least element يعني أي مجموعة غير خالية من مجموعة الأعداد الطبيعية لازم اللي جي لها least element لازم يكون لها أصغر عنصر", "tokens": [2407, 3224, 24192, 8978, 21542, 38436, 28671, 39894, 3215, 2288, 3794, 11296, 8978, 8717, 11296, 10632, 8978, 5551, 34740, 7187, 8978, 3714, 3555, 18513, 19986, 12602, 1829, 46958, 1829, 9307, 2423, 486, 21739, 4707, 39894, 39648, 16472, 633, 2107, 12, 4543, 88, 25993, 295, 426, 575, 257, 1935, 4478, 37495, 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"probability": 0.452880859375}, {"start": 1791.24, "end": 1792.24, "word": " تمام", "probability": 0.772216796875}], "temperature": 1.0}, {"id": 68, "seek": 181889, "start": 1793.69, "end": 1818.89, "text": "إذا هنا يوجد أنصر nz عدد طبيعي وهذا العدد الطبيعي هو ال least element ل easy طيب الآن هذا أصغر أنصر في الست هذه يعني معناه nz لو طرحت من nz", "tokens": [28814, 15730, 34105, 7251, 29245, 3215, 14739, 9381, 2288, 297, 89, 6225, 3215, 3215, 23032, 21292, 3615, 1829, 37037, 15730, 18863, 3215, 3215, 41950, 21292, 3615, 1829, 31439, 2423, 1935, 4478, 5296, 1858, 23032, 1829, 3555, 6024, 48506, 23758, 5551, 9381, 17082, 2288, 14739, 9381, 2288, 8978, 2423, 14851, 29538, 37495, 22653, 20449, 8315, 3224, 297, 89, 45164, 23032, 2288, 33753, 9154, 297, 89], "avg_logprob": -0.22764423076923077, "compression_ratio": 1.4966887417218544, "no_speech_prob": 0.0, "words": [{"start": 1793.69, "end": 1793.99, "word": "إذا", "probability": 0.48291015625}, {"start": 1793.99, "end": 1794.25, "word": " هنا", "probability": 0.9248046875}, {"start": 1794.25, "end": 1794.99, "word": " يوجد", "probability": 0.97412109375}, {"start": 1794.99, "end": 1795.77, "word": " أنصر", "probability": 0.7918294270833334}, {"start": 1795.77, "end": 1796.19, "word": " nz", "probability": 0.4139404296875}, {"start": 1796.19, "end": 1796.53, "word": " عدد", "probability": 0.9734700520833334}, {"start": 1796.53, "end": 1797.17, "word": " طبيعي", "probability": 0.9766845703125}, {"start": 1797.17, "end": 1798.07, "word": " وهذا", "probability": 0.85009765625}, {"start": 1798.07, "end": 1798.43, "word": " العدد", "probability": 0.9446614583333334}, {"start": 1798.43, "end": 1799.23, "word": " الطبيعي", "probability": 0.981201171875}, {"start": 1799.23, "end": 1801.17, "word": " هو", "probability": 0.958984375}, {"start": 1801.17, "end": 1801.31, "word": " ال", "probability": 0.427001953125}, {"start": 1801.31, "end": 1801.57, "word": " least", "probability": 0.70263671875}, {"start": 1801.57, "end": 1802.07, "word": " element", "probability": 0.97265625}, {"start": 1802.07, "end": 1802.39, "word": " ل", "probability": 0.82177734375}, {"start": 1802.39, "end": 1803.01, "word": " easy", "probability": 0.339599609375}, {"start": 1803.01, "end": 1809.53, "word": " طيب", "probability": 0.90673828125}, {"start": 1809.53, "end": 1812.01, "word": " الآن", "probability": 0.6361083984375}, {"start": 1812.01, "end": 1812.33, "word": " هذا", "probability": 0.91552734375}, {"start": 1812.33, "end": 1812.73, "word": " أصغر", "probability": 0.9696044921875}, {"start": 1812.73, "end": 1813.13, "word": " أنصر", "probability": 0.9166666666666666}, {"start": 1813.13, "end": 1813.25, "word": " في", "probability": 0.947265625}, {"start": 1813.25, "end": 1813.63, "word": " الست", "probability": 0.6351318359375}, {"start": 1813.63, "end": 1813.99, "word": " هذه", "probability": 0.5458984375}, {"start": 1813.99, "end": 1814.19, "word": " يعني", "probability": 0.890380859375}, {"start": 1814.19, "end": 1814.75, "word": " معناه", "probability": 0.8984375}, {"start": 1814.75, "end": 1816.15, "word": " nz", "probability": 0.573974609375}, {"start": 1816.15, "end": 1817.35, "word": " لو", "probability": 0.9296875}, {"start": 1817.35, "end": 1817.85, "word": " طرحت", "probability": 0.8522135416666666}, {"start": 1817.85, "end": 1818.15, "word": " من", "probability": 0.98876953125}, {"start": 1818.15, "end": 1818.89, "word": " nz", "probability": 0.778564453125}], "temperature": 1.0}, {"id": 69, "seek": 184554, "start": 1820.12, "end": 1845.54, "text": "طرحت منها واحد فطبعا هذا أصغر من NZ هذا أصغر من NZ صح؟ مظبوط؟ و هذا أصغر أنصر لل set easy هذا أصغر أنصر و هذا أصغر منه إذا هذا الأنصر مش ممكن يكون موجود بال set easy صح؟", "tokens": [9566, 2288, 33753, 9154, 11296, 36764, 24401, 6156, 9566, 3555, 3615, 995, 23758, 5551, 9381, 17082, 2288, 9154, 41089, 23758, 5551, 9381, 17082, 2288, 9154, 41089, 20328, 5016, 22807, 3714, 19913, 3555, 2407, 9566, 22807, 4032, 23758, 5551, 9381, 17082, 2288, 14739, 9381, 2288, 24976, 992, 1858, 23758, 5551, 9381, 17082, 2288, 14739, 9381, 2288, 4032, 23758, 5551, 9381, 17082, 2288, 9154, 3224, 11933, 15730, 23758, 16247, 1863, 9381, 2288, 37893, 3714, 43020, 7251, 30544, 3714, 29245, 23328, 20666, 992, 1858, 20328, 5016, 22807], "avg_logprob": -0.13988970237619736, "compression_ratio": 1.8926174496644295, "no_speech_prob": 0.0, "words": [{"start": 1820.12, "end": 1820.54, "word": "طرحت", "probability": 0.8160807291666666}, {"start": 1820.54, "end": 1820.88, "word": " منها", "probability": 0.989501953125}, {"start": 1820.88, "end": 1821.4, "word": " واحد", "probability": 0.979736328125}, {"start": 1821.4, "end": 1822.94, "word": " فطبعا", "probability": 0.9697265625}, {"start": 1822.94, "end": 1823.28, "word": " هذا", "probability": 0.66552734375}, {"start": 1823.28, "end": 1823.84, "word": " أصغر", "probability": 0.873046875}, {"start": 1823.84, "end": 1824.04, "word": " من", "probability": 0.98974609375}, {"start": 1824.04, "end": 1824.48, "word": " NZ", "probability": 0.351318359375}, {"start": 1824.48, "end": 1825.08, "word": " هذا", "probability": 0.72509765625}, {"start": 1825.08, "end": 1827.0, "word": " أصغر", "probability": 0.9725341796875}, {"start": 1827.0, "end": 1827.24, "word": " من", "probability": 0.99072265625}, {"start": 1827.24, "end": 1827.88, "word": " NZ", "probability": 0.876953125}, {"start": 1827.88, "end": 1829.84, "word": " صح؟", "probability": 0.7893880208333334}, {"start": 1829.84, "end": 1831.74, "word": " مظبوط؟", "probability": 0.8243408203125}, {"start": 1831.74, "end": 1832.58, "word": " و", "probability": 0.45068359375}, {"start": 1832.58, "end": 1832.84, "word": " هذا", "probability": 0.87451171875}, {"start": 1832.84, "end": 1833.3, "word": " أصغر", "probability": 0.9923095703125}, {"start": 1833.3, "end": 1833.84, "word": " أنصر", "probability": 0.8251953125}, {"start": 1833.84, "end": 1834.14, "word": " لل", "probability": 0.68408203125}, {"start": 1834.14, "end": 1834.46, "word": " set", "probability": 0.217041015625}, {"start": 1834.46, "end": 1834.92, "word": " easy", "probability": 0.85888671875}, {"start": 1834.92, "end": 1836.88, "word": " هذا", "probability": 0.93359375}, {"start": 1836.88, "end": 1837.26, "word": " أصغر", "probability": 0.9952392578125}, {"start": 1837.26, "end": 1837.74, "word": " أنصر", "probability": 0.98583984375}, {"start": 1837.74, "end": 1837.88, "word": " و", "probability": 0.65966796875}, {"start": 1837.88, "end": 1838.18, "word": " هذا", "probability": 0.9697265625}, {"start": 1838.18, "end": 1838.66, "word": " أصغر", "probability": 0.9945068359375}, {"start": 1838.66, "end": 1839.14, "word": " منه", "probability": 0.994873046875}, {"start": 1839.14, "end": 1840.52, "word": " إذا", "probability": 0.705322265625}, {"start": 1840.52, "end": 1840.94, "word": " هذا", "probability": 0.875}, {"start": 1840.94, "end": 1841.5, "word": " الأنصر", "probability": 0.9466552734375}, {"start": 1841.5, "end": 1841.7, "word": " مش", "probability": 0.97119140625}, {"start": 1841.7, "end": 1842.0, "word": " ممكن", "probability": 0.987548828125}, {"start": 1842.0, "end": 1842.38, "word": " يكون", "probability": 0.99169921875}, {"start": 1842.38, "end": 1843.0, "word": " موجود", "probability": 0.9806315104166666}, {"start": 1843.0, "end": 1844.16, "word": " بال", "probability": 0.72509765625}, {"start": 1844.16, "end": 1844.5, "word": " set", "probability": 0.8779296875}, {"start": 1844.5, "end": 1844.9, "word": " easy", "probability": 0.9453125}, {"start": 1844.9, "end": 1845.54, "word": " صح؟", "probability": 0.9775390625}], "temperature": 1.0}, {"id": 70, "seek": 186429, "start": 1847.25, "end": 1864.29, "text": "لأن هذا أصغر من أصغر عنصر في ال set طيب، معناه أن هذا نز سالب واحد ما هوش في ez", "tokens": [1211, 33456, 23758, 5551, 9381, 17082, 2288, 9154, 5551, 9381, 17082, 2288, 18871, 9381, 2288, 8978, 2423, 992, 23032, 1829, 3555, 12399, 20449, 8315, 3224, 14739, 23758, 8717, 11622, 8608, 6027, 3555, 36764, 24401, 19446, 31439, 8592, 8978, 25220], "avg_logprob": -0.3900390587747097, "compression_ratio": 1.3009708737864079, "no_speech_prob": 0.0, "words": [{"start": 1847.2499999999998, "end": 1848.1299999999999, "word": "لأن", "probability": 0.570556640625}, {"start": 1848.1299999999999, "end": 1849.01, "word": " هذا", "probability": 0.54638671875}, {"start": 1849.01, "end": 1849.49, "word": " أصغر", "probability": 0.82452392578125}, {"start": 1849.49, "end": 1849.69, "word": " من", "probability": 0.828125}, {"start": 1849.69, "end": 1853.37, "word": " أصغر", "probability": 0.85400390625}, {"start": 1853.37, "end": 1853.85, "word": " عنصر", "probability": 0.97314453125}, {"start": 1853.85, "end": 1854.01, "word": " في", "probability": 0.72900390625}, {"start": 1854.01, "end": 1854.13, "word": " ال", "probability": 0.77294921875}, {"start": 1854.13, "end": 1854.43, "word": " set", "probability": 0.390869140625}, {"start": 1854.43, "end": 1859.41, "word": " طيب،", "probability": 0.71881103515625}, {"start": 1859.41, "end": 1860.09, "word": " معناه", "probability": 0.8191731770833334}, {"start": 1860.09, "end": 1860.39, "word": " أن", "probability": 0.6005859375}, {"start": 1860.39, "end": 1861.35, "word": " هذا", "probability": 0.37841796875}, {"start": 1861.35, "end": 1862.51, "word": " نز", "probability": 0.341796875}, {"start": 1862.51, "end": 1863.01, "word": " سالب", "probability": 0.7307942708333334}, {"start": 1863.01, "end": 1863.25, "word": " واحد", "probability": 0.80517578125}, {"start": 1863.25, "end": 1863.37, "word": " ما", "probability": 0.408935546875}, {"start": 1863.37, "end": 1863.79, "word": " هوش", "probability": 0.635986328125}, {"start": 1863.79, "end": 1863.93, "word": " في", "probability": 0.93798828125}, {"start": 1863.93, "end": 1864.29, "word": " ez", "probability": 0.427734375}], "temperature": 1.0}, {"id": 71, "seek": 189153, "start": 1869.21, "end": 1891.53, "text": "مدين هذا الأنصار مش موجود في set easy هذا هي معناته بيحققش الصفة المميزة لل set easy متى الانصار بيكون موجود هنا إذا بيحقق الصفة هذه أو المتبينة هذه طب إذا كان الأنصار لا ينتمي لل set معناته بيحققش", "tokens": [2304, 3215, 9957, 23758, 16247, 1863, 9381, 9640, 37893, 3714, 29245, 23328, 8978, 992, 1858, 23758, 39896, 20449, 8315, 47395, 4724, 1829, 5016, 4587, 4587, 8592, 31767, 5172, 3660, 9673, 2304, 1829, 11622, 3660, 24976, 992, 1858, 44650, 7578, 2423, 7649, 9381, 9640, 4724, 1829, 30544, 3714, 29245, 23328, 34105, 11933, 15730, 4724, 1829, 5016, 4587, 4587, 31767, 5172, 3660, 29538, 34051, 9673, 2655, 3555, 9957, 3660, 29538, 23032, 3555, 11933, 15730, 25961, 16247, 1863, 9381, 9640, 20193, 7251, 29399, 2304, 1829, 24976, 992, 20449, 8315, 47395, 4724, 1829, 5016, 4587, 4587, 8592], "avg_logprob": -0.20561834662518602, "compression_ratio": 1.9595375722543353, "no_speech_prob": 0.0, "words": [{"start": 1869.21, "end": 1869.67, "word": "مدين", "probability": 0.4129231770833333}, {"start": 1869.67, "end": 1869.91, "word": " هذا", 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"word": " المميزة", "probability": 0.98564453125}, {"start": 1877.43, "end": 1877.91, "word": " لل", "probability": 0.5537109375}, {"start": 1877.91, "end": 1878.23, "word": " set", "probability": 0.50732421875}, {"start": 1878.23, "end": 1878.67, "word": " easy", "probability": 0.94580078125}, {"start": 1878.67, "end": 1881.73, "word": " متى", "probability": 0.8076171875}, {"start": 1881.73, "end": 1883.35, "word": " الانصار", "probability": 0.7386474609375}, {"start": 1883.35, "end": 1883.65, "word": " بيكون", "probability": 0.89697265625}, {"start": 1883.65, "end": 1884.13, "word": " موجود", "probability": 0.9718424479166666}, {"start": 1884.13, "end": 1884.39, "word": " هنا", "probability": 0.476318359375}, {"start": 1884.39, "end": 1884.69, "word": " إذا", "probability": 0.78759765625}, {"start": 1884.69, "end": 1885.23, "word": " بيحقق", "probability": 0.95478515625}, {"start": 1885.23, "end": 1885.95, "word": " الصفة", "probability": 0.98876953125}, {"start": 1885.95, "end": 1886.33, "word": " هذه", "probability": 0.70654296875}, {"start": 1886.33, "end": 1887.21, "word": " أو", "probability": 0.65576171875}, {"start": 1887.21, "end": 1887.93, "word": " المتبينة", "probability": 0.779150390625}, {"start": 1887.93, "end": 1888.29, "word": " هذه", "probability": 0.68505859375}, {"start": 1888.29, "end": 1888.65, "word": " طب", "probability": 0.773193359375}, {"start": 1888.65, "end": 1888.81, "word": " إذا", "probability": 0.964599609375}, {"start": 1888.81, "end": 1889.01, "word": " كان", "probability": 0.9775390625}, {"start": 1889.01, "end": 1889.39, "word": " الأنصار", "probability": 0.9691162109375}, {"start": 1889.39, "end": 1889.59, "word": " لا", "probability": 0.87841796875}, {"start": 1889.59, "end": 1889.91, "word": " ينتمي", "probability": 0.890625}, {"start": 1889.91, "end": 1890.11, "word": " لل", "probability": 0.87353515625}, {"start": 1890.11, "end": 1890.39, "word": " set", "probability": 0.97412109375}, {"start": 1890.39, "end": 1890.75, 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{"start": 2332.93, "end": 2333.65, "word": " للست", "probability": 0.738525390625}, {"start": 2333.65, "end": 2334.69, "word": " دي", "probability": 0.85107421875}, {"start": 2334.69, "end": 2335.09, "word": " أو", "probability": 0.80712890625}, {"start": 2335.09, "end": 2335.35, "word": " لل", "probability": 0.73974609375}, {"start": 2335.35, "end": 2336.05, "word": " sequence", "probability": 0.576171875}, {"start": 2336.05, "end": 2336.67, "word": " واحد", "probability": 0.7325439453125}, {"start": 2336.67, "end": 2336.85, "word": " على", "probability": 0.83740234375}, {"start": 2336.85, "end": 2337.23, "word": " N", "probability": 0.68603515625}, {"start": 2337.23, "end": 2338.31, "word": " هو", "probability": 0.96630859375}, {"start": 2338.31, "end": 2339.57, "word": " السفر،", "probability": 0.9241943359375}, {"start": 2339.57, "end": 2340.13, "word": " تمام؟", "probability": 0.9866536458333334}], "temperature": 1.0}, {"id": 88, "seek": 236739, "start": 2341.79, "end": 2367.39, "text": "وهنا استخدمنا في البرهان الـ Archimedean property الصورة بيه من ال Archimedean property في النظرية هذه احنا أثبتنا قبل هيك", "tokens": [2407, 3224, 8315, 44713, 9778, 40448, 8315, 8978, 2423, 26890, 3224, 7649, 2423, 39184, 10984, 332, 4858, 282, 4707, 31767, 13063, 3660, 4724, 1829, 3224, 9154, 2423, 10984, 332, 4858, 282, 4707, 8978, 28239, 19913, 2288, 10632, 29538, 1975, 5016, 8315, 5551, 12984, 3555, 2655, 8315, 12174, 36150, 39896, 4117], "avg_logprob": -0.19485294526698543, "compression_ratio": 1.385185185185185, "no_speech_prob": 0.0, "words": [{"start": 2341.79, "end": 2342.17, "word": "وهنا", "probability": 0.7469075520833334}, {"start": 2342.17, "end": 2342.81, "word": " استخدمنا", "probability": 0.9588623046875}, {"start": 2342.81, "end": 2342.95, "word": " في", "probability": 0.8203125}, {"start": 2342.95, "end": 2343.65, "word": " البرهان", "probability": 0.8673095703125}, {"start": 2343.65, "end": 2344.17, "word": " الـ", "probability": 0.547119140625}, {"start": 2344.17, "end": 2345.23, "word": " Archimedean", "probability": 0.83856201171875}, {"start": 2345.23, "end": 2346.11, "word": " property", "probability": 0.56005859375}, {"start": 2346.11, "end": 2348.05, "word": " الصورة", "probability": 0.770263671875}, {"start": 2348.05, "end": 2348.65, "word": " بيه", "probability": 0.6531575520833334}, {"start": 2348.65, "end": 2348.89, "word": " من", "probability": 0.9248046875}, {"start": 2348.89, "end": 2349.01, "word": " ال", "probability": 0.845703125}, {"start": 2349.01, "end": 2349.85, "word": " Archimedean", "probability": 0.87890625}, {"start": 2349.85, "end": 2350.57, "word": " property", "probability": 0.96435546875}, {"start": 2350.57, "end": 2364.61, "word": " في", "probability": 0.72802734375}, {"start": 2364.61, "end": 2365.15, "word": " النظرية", "probability": 0.962890625}, {"start": 2365.15, "end": 2365.67, "word": " هذه", "probability": 0.935546875}, {"start": 2365.67, "end": 2366.05, "word": " احنا", "probability": 0.8053385416666666}, {"start": 2366.05, "end": 2366.61, "word": " أثبتنا", "probability": 0.93388671875}, {"start": 2366.61, "end": 2366.95, "word": " قبل", "probability": 0.96240234375}, {"start": 2366.95, "end": 2367.39, "word": " هيك", "probability": 0.798828125}], "temperature": 1.0}, {"id": 89, "seek": 239555, "start": 2372.67, "end": 2395.55, "text": "احنا أثبتنا سابقا في السابق أثبتنا أنه في كان نظرية أو مثال بتقول أن جذر 2 is not a rational number", "tokens": [39319, 8315, 5551, 12984, 3555, 2655, 8315, 8608, 16758, 4587, 995, 8978, 21136, 16758, 4587, 5551, 12984, 3555, 2655, 8315, 14739, 3224, 8978, 25961, 8717, 19913, 2288, 10632, 34051, 50113, 6027, 39894, 39648, 14739, 10874, 8848, 2288, 568, 307, 406, 257, 15090, 1230], "avg_logprob": -0.1850141981108622, "compression_ratio": 1.2868852459016393, "no_speech_prob": 0.0, "words": [{"start": 2372.67, "end": 2373.33, "word": "احنا", "probability": 0.57501220703125}, {"start": 2373.33, "end": 2373.87, "word": " أثبتنا", "probability": 0.97197265625}, {"start": 2373.87, "end": 2374.71, "word": " سابقا", "probability": 0.96875}, {"start": 2374.71, "end": 2381.53, "word": " في", "probability": 0.76025390625}, {"start": 2381.53, "end": 2382.29, "word": " ��لسابق", "probability": 0.9855143229166666}, {"start": 2382.29, "end": 2383.11, "word": " أثبتنا", "probability": 0.9765625}, {"start": 2383.11, "end": 2384.63, "word": " أنه", "probability": 0.6630859375}, {"start": 2384.63, "end": 2385.31, "word": " في", "probability": 0.654296875}, {"start": 2385.31, "end": 2385.57, "word": " كان", "probability": 0.459716796875}, {"start": 2385.57, "end": 2386.25, "word": " نظرية", "probability": 0.9483642578125}, {"start": 2386.25, "end": 2387.95, "word": " أو", "probability": 0.80908203125}, {"start": 2387.95, "end": 2388.59, "word": " مثال", "probability": 0.983642578125}, {"start": 2388.59, "end": 2391.29, "word": " بتقول", "probability": 0.953857421875}, {"start": 2391.29, "end": 2391.49, "word": " أن", "probability": 0.5087890625}, {"start": 2391.49, "end": 2391.99, "word": " جذر", "probability": 0.7642415364583334}, {"start": 2391.99, "end": 2392.57, "word": " 2", "probability": 0.46826171875}, {"start": 2392.57, "end": 2394.07, "word": " is", "probability": 0.80029296875}, {"start": 2394.07, "end": 2394.47, "word": " not", "probability": 0.9658203125}, {"start": 2394.47, "end": 2394.67, "word": " a", "probability": 0.86865234375}, {"start": 2394.67, "end": 2395.03, "word": " rational", "probability": 0.9306640625}, {"start": 2395.03, "end": 2395.55, "word": " number", "probability": 0.96923828125}], "temperature": 1.0}, {"id": 90, "seek": 242711, "start": 2398.29, "end": 2427.11, "text": "أو العدد جدر اتنين is irrational نعم مظبوط فطبعا في البرهان هذا اعتمدنا في البرهان على انه جدر اتنين هذا عدد حقيقي يعني exist هو احد العداد الحقيقية وفرضنا عملنا برهان غير مباشر فرضنا انه جدر اتنين ينتمي ل Q او عدد نسبي ووصلنا الى تنظيم تمام", "tokens": [10721, 2407, 18863, 3215, 3215, 10874, 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في البرهان او في النظرية هذه افترضنا جدلا او افترضنا مسبقا ان جدر اتنين هذا عدد حقيقي اليوم هنرجع و نثبت ان existence of جدر اتنين يعني جدر اتنين هذا بنثبت ان هو فعلا عدد حقيقي مش عدد اخر مش عدد تقيم", "tokens": [6027, 1829, 20498, 44945, 47341, 3615, 24976, 13063, 16606, 13412, 2407, 10632, 4032, 44945, 39648, 1975, 5016, 8315, 34105, 8978, 28239, 19913, 2288, 10632, 29538, 8978, 2423, 26890, 3224, 7649, 1975, 2407, 8978, 28239, 19913, 2288, 10632, 29538, 1975, 5172, 2655, 43042, 8315, 10874, 3215, 15040, 1975, 2407, 1975, 5172, 2655, 43042, 8315, 3714, 35457, 4587, 995, 16472, 10874, 3215, 2288, 1975, 2655, 1863, 9957, 23758, 6225, 3215, 3215, 11331, 38436, 38436, 45595, 20498, 8032, 1863, 47341, 3615, 4032, 8717, 12984, 3555, 2655, 16472, 9123, 295, 10874, 3215, 2288, 1975, 2655, 1863, 9957, 37495, 22653, 10874, 3215, 2288, 1975, 2655, 1863, 9957, 23758, 44945, 12984, 3555, 2655, 16472, 31439, 6156, 3615, 15040, 6225, 3215, 3215, 11331, 38436, 38436, 37893, 6225, 3215, 3215, 1975, 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