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+{"segments": [{"id": 1, "seek": 4721, "start": 20.65, "end": 47.21, "text": "بسم الله الرحمن الرحيم المرة اللى فاتت انتهينا من section 4.2 اللى هو ال main value theorem والاسئلة اللى عليها والان بننتقل الى section 4.3 وهو ال monotonic functions and the first derivative test يعني الدوال الرتيبة وكذلك اللى هو اختبار المشتقة الأولى", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 9673, 25720, 13672, 7578, 6156, 9307, 2655, 16472, 47395, 1829, 8315, 9154, 3541, 1017, 13, 17, 13672, 7578, 31439, 2423, 2135, 2158, 20904, 16070, 32277, 19986, 37977, 13672, 7578, 25894, 11296, 16070, 7649, 44945, 29399, 4587, 1211, 2423, 7578, 3541, 1017, 13, 18, 37037, 2407, 2423, 1108, 310, 11630, 6828, 293, 264, 700, 13760, 1500, 37495, 22653, 32748, 2407, 6027, 34892, 31371, 49401, 4032, 4117, 8848, 23275, 13672, 7578, 31439, 1975, 46456, 3555, 9640, 9673, 8592, 2655, 28671, 16247, 12610, 7578], "avg_logprob": -0.22922389618643038, "compression_ratio": 1.6885964912280702, 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"word": " موجودة", "probability": 0.9892578125}, {"start": 1332.09, "end": 1332.19, "word": " في", "probability": 0.97021484375}, {"start": 1332.19, "end": 1332.51, "word": " الداخل", "probability": 0.912109375}, {"start": 1332.51, "end": 1332.71, "word": " انت", "probability": 0.48651123046875}, {"start": 1332.71, "end": 1332.97, "word": " تقول", "probability": 0.893798828125}, {"start": 1332.97, "end": 1333.71, "word": " غيرت", "probability": 0.9689127604166666}, {"start": 1333.71, "end": 1334.31, "word": " إشرتها", "probability": 0.678955078125}, {"start": 1334.31, "end": 1334.51, "word": " من", "probability": 0.9638671875}, {"start": 1334.51, "end": 1334.77, "word": " كذا", "probability": 0.911376953125}, {"start": 1334.77, "end": 1334.99, "word": " إلى", "probability": 0.505859375}, {"start": 1334.99, "end": 1335.37, "word": " كذا", "probability": 0.958740234375}], "temperature": 1.0}, {"id": 52, "seek": 136017, "start": 1335.67, "end": 1360.17, "text": "يبقى لو كانت نقطة في الداخل وتغيرت من سالب إلى موجة بقول هنا local minimum هذه local minimum ليش؟ لأنها أقل قيمة بتاخدها للدالة من عند أول نقطة لغاية مين لو جيت قلت هذه افترض ان هذه أول نقطة في ال interval A وهذه أخر نقطة في ال interval B", "tokens": [1829, 3555, 4587, 7578, 45164, 25961, 2655, 8717, 47432, 3660, 8978, 32748, 47283, 1211, 34683, 17082, 13546, 2655, 9154, 8608, 6027, 3555, 30731, 3714, 29245, 3660, 4724, 39648, 34105, 2654, 7285, 29538, 2654, 7285, 32239, 8592, 22807, 5296, 33456, 11296, 5551, 4587, 1211, 12174, 32640, 3660, 39894, 47283, 3215, 11296, 24976, 3215, 6027, 3660, 9154, 43242, 5551, 12610, 8717, 47432, 3660, 5296, 17082, 995, 10632, 3714, 9957, 45164, 10874, 36081, 12174, 1211, 2655, 29538, 1975, 5172, 2655, 43042, 16472, 29538, 5551, 12610, 8717, 47432, 3660, 8978, 2423, 15035, 316, 37037, 24192, 5551, 34740, 8717, 47432, 3660, 8978, 2423, 15035, 363], "avg_logprob": -0.16444925919617756, "compression_ratio": 1.7579908675799087, "no_speech_prob": 1.7881393432617188e-07, 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للدالة", "probability": 0.9404296875}, {"start": 1347.23, "end": 1347.81, "word": " من", "probability": 0.97607421875}, {"start": 1347.81, "end": 1348.45, "word": " عند", "probability": 0.99072265625}, {"start": 1348.45, "end": 1349.03, "word": " أول", "probability": 0.936279296875}, {"start": 1349.03, "end": 1349.55, "word": " نقطة", "probability": 0.9889322916666666}, {"start": 1349.55, "end": 1350.09, "word": " لغاية", "probability": 0.983154296875}, {"start": 1350.09, "end": 1350.41, "word": " مين", "probability": 0.844970703125}, {"start": 1350.41, "end": 1350.67, "word": " لو", "probability": 0.55419921875}, {"start": 1350.67, "end": 1350.99, "word": " جيت", "probability": 0.870361328125}, {"start": 1350.99, "end": 1351.47, "word": " قلت", "probability": 0.78271484375}, {"start": 1351.47, "end": 1351.87, "word": " هذه", "probability": 0.8291015625}, {"start": 1351.87, "end": 1352.95, "word": " افترض", "probability": 0.8946533203125}, {"start": 1352.95, "end": 1353.29, "word": " 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"probability": 0.7132161458333334}, {"start": 1387.0, "end": 1387.42, "word": " أيوة", "probability": 0.74072265625}], "temperature": 1.0}, {"id": 54, "seek": 140460, "start": 1390.08, "end": 1404.6, "text": "لا local minimum ولا local maximum، لا بقدرش ولا حاجة، ايوة نقدر من هذا الاتباه نعرف اي واحدة هي ال absolute و ال local minimum؟ هنجي لل absolute، بس استغلني شوية، هنقول، نشير إليها", "tokens": [15040, 2654, 7285, 49429, 2654, 6674, 12399, 20193, 4724, 28543, 2288, 8592, 49429, 11331, 26108, 3660, 12399, 1975, 1829, 2407, 3660, 8717, 28543, 2288, 9154, 23758, 2423, 9307, 3555, 40294, 8717, 3615, 28480, 1975, 1829, 36764, 24401, 3660, 39896, 2423, 8236, 4032, 2423, 2654, 7285, 22807, 8032, 1863, 7435, 1829, 24976, 8236, 12399, 4724, 3794, 44713, 17082, 1211, 22653, 13412, 2407, 10632, 12399, 8032, 1863, 39648, 12399, 8717, 8592, 13546, 11933, 20292, 11296], "avg_logprob": -0.39527026181285446, "compression_ratio": 1.5738636363636365, "no_speech_prob": 2.980232238769531e-07, 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"probability": 0.6373697916666666}, {"start": 1513.58, "end": 1514.14, "word": " للنقطة", "probability": 0.8607177734375}, {"start": 1514.14, "end": 1514.56, "word": " التانية", "probability": 0.9703776041666666}, {"start": 1514.56, "end": 1514.86, "word": " إذا", "probability": 0.7369384765625}, {"start": 1514.86, "end": 1515.24, "word": " f", "probability": 0.292236328125}, {"start": 1515.24, "end": 1515.8, "word": " prime", "probability": 0.359619140625}, {"start": 1515.8, "end": 1516.6, "word": " ماعيرتش", "probability": 0.832666015625}, {"start": 1516.6, "end": 1517.4, "word": " إشارتها", "probability": 0.93046875}, {"start": 1517.4, "end": 1517.7, "word": " عند", "probability": 0.9658203125}, {"start": 1517.7, "end": 1518.1, "word": " c", "probability": 0.68798828125}, {"start": 1518.1, "end": 1518.86, "word": " يبقى", "probability": 0.9510498046875}, {"start": 1518.86, "end": 1519.72, "word": " ماعنديش", "probability": 0.9591796875}, {"start": 1519.72, "end": 1520.12, "word": " has", "probability": 0.386474609375}, {"start": 1520.12, "end": 1520.72, "word": " no", "probability": 0.95361328125}, {"start": 1520.72, "end": 1521.34, "word": " local", "probability": 0.92724609375}, {"start": 1521.34, "end": 1522.04, "word": " extrema", "probability": 0.5689290364583334}, {"start": 1522.04, "end": 1522.58, "word": " يعني", "probability": 0.77880859375}, {"start": 1522.58, "end": 1523.28, "word": " ماعنديش", "probability": 0.96396484375}, {"start": 1523.28, "end": 1523.46, "word": " لا", "probability": 0.81640625}, {"start": 1523.46, "end": 1523.8, "word": " local", "probability": 0.93603515625}, {"start": 1523.8, "end": 1524.3, "word": " maximum", "probability": 0.96728515625}, {"start": 1524.3, "end": 1525.34, "word": " ولا", "probability": 0.958984375}, {"start": 1525.34, "end": 1525.82, "word": " local", "probability": 0.93017578125}, {"start": 1525.82, "end": 1526.32, "word": " minimum", "probability": 0.9814453125}, {"start": 1526.32, "end": 1526.86, "word": " طب", "probability": 0.834228515625}, {"start": 1526.86, "end": 1527.1, "word": " إيش", "probability": 0.8055826822916666}, {"start": 1527.1, "end": 1527.6, "word": " رأيك", "probability": 0.96044921875}, {"start": 1527.6, "end": 1527.96, "word": " عند", "probability": 0.8564453125}, {"start": 1527.96, "end": 1528.66, "word": " النقطة", "probability": 0.98486328125}, {"start": 1528.66, "end": 1529.32, "word": " هذه؟", "probability": 0.8837890625}], "temperature": 1.0}, {"id": 60, "seek": 155817, "start": 1529.87, "end": 1558.17, "text": "الـ F' of C4 is undefined يبقى ماهياش معرفة لأن عندي أكاسب هنا طيب إذا النقطة هذه بيقول إذا F ماغيرتش إشارتها يبقى no local extrema يبقى هاي no local extrema وهنا كذلك no local extrema", "tokens": [6027, 39184, 479, 6, 295, 383, 19, 307, 674, 5666, 2001, 7251, 3555, 4587, 7578, 19446, 3224, 1829, 33599, 20449, 28480, 3660, 5296, 33456, 18871, 16254, 5551, 4117, 32277, 3555, 34105, 23032, 1829, 3555, 11933, 15730, 28239, 47432, 3660, 29538, 4724, 1829, 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ناخد السؤال الثاني السؤال الثاني", "tokens": [3828, 265, 1696, 570, 2423, 479, 575, 572, 917, 2793, 1975, 2407, 2423, 9274, 6055, 3555, 3615, 2423, 479, 575, 572, 917, 2793, 25894, 4117, 16472, 47395, 7578, 21136, 33604, 6027, 8717, 32887, 5016, 8717, 47283, 3215, 21136, 33604, 6027, 6024, 104, 7649, 1829, 21136, 33604, 6027, 6024, 104, 7649, 1829], "avg_logprob": -0.2077824527827593, "compression_ratio": 1.6, "no_speech_prob": 0.0, "words": [{"start": 2521.44, "end": 2522.78, "word": "extrema", "probability": 0.6697591145833334}, {"start": 2522.78, "end": 2526.54, "word": " because", "probability": 0.69921875}, {"start": 2526.54, "end": 2529.22, "word": " ال", "probability": 0.88525390625}, {"start": 2529.22, "end": 2529.76, "word": " F", "probability": 0.5849609375}, {"start": 2529.76, "end": 2531.3, "word": " has", "probability": 0.7451171875}, {"start": 2531.3, "end": 2532.6, "word": " no", "probability": 0.9013671875}, {"start": 2532.6, "end": 2534.08, "word": " end", 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