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846.8, "end": 865.86, "text": "بعض التكاملات الأساسية اللى هتمر معانا كتير و لابد منها بنواصل حكينا في نفس الموضوع وبندى لها some basic integrals بعض التكاملات الأساسية اللى هتمر معانا كتير خلال هذا section", "tokens": [3555, 3615, 11242, 16712, 4117, 10943, 1211, 9307, 16247, 3794, 32277, 10632, 13672, 7578, 8032, 2655, 29973, 20449, 7649, 995, 9122, 2655, 13546, 4032, 5296, 16758, 3215, 9154, 11296, 44945, 2407, 33546, 1211, 11331, 4117, 1829, 8315, 8978, 8717, 36178, 9673, 2407, 11242, 45367, 46599, 1863, 3215, 7578, 5296, 11296, 512, 3875, 3572, 1124, 45030, 11242, 16712, 4117, 10943, 1211, 9307, 16247, 3794, 32277, 10632, 13672, 7578, 8032, 2655, 29973, 20449, 7649, 995, 9122, 2655, 13546, 16490, 1211, 6027, 23758, 3541], "avg_logprob": -0.22427590791045166, "compression_ratio": 1.8271604938271604, "no_speech_prob": 0.0, "words": [{"start": 846.8, "end": 847.3, "word": "بعض", "probability": 0.95263671875}, {"start": 847.3, "end": 848.16, "word": " التكاملات", "probability": 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"text": "ده اللي قابل الاتكامل على الفترة المغلقة A وB then it's average then it's average average أو mean يمكن نسميها average value", "tokens": [3215, 3224, 13672, 1829, 12174, 16758, 1211, 2423, 9307, 4117, 10943, 1211, 15844, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 316, 4032, 33, 550, 309, 311, 4274, 550, 309, 311, 4274, 4274, 34051, 914, 7251, 43020, 8717, 38251, 1829, 11296, 4274, 2158], "avg_logprob": -0.3735465130140615, "compression_ratio": 1.3385826771653544, "no_speech_prob": 0.0, "words": [{"start": 1281.37, "end": 1281.73, "word": "ده", "probability": 0.491363525390625}, {"start": 1281.73, "end": 1281.93, "word": " اللي", "probability": 0.746337890625}, {"start": 1281.93, "end": 1282.59, "word": " قابل", "probability": 0.9739583333333334}, {"start": 1282.59, "end": 1283.69, "word": " الاتكامل", "probability": 0.889453125}, {"start": 1283.69, "end": 1284.83, "word": " على", "probability": 0.77490234375}, {"start": 1284.83, "end": 1285.73, "word": " الفترة", 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mean", "probability": 0.87255859375}, {"start": 1305.79, "end": 1308.11, "word": " يمكن", "probability": 0.30352783203125}, {"start": 1308.11, "end": 1308.63, "word": " نسميها", "probability": 0.917724609375}, {"start": 1308.63, "end": 1309.85, "word": " average", "probability": 0.433349609375}, {"start": 1309.85, "end": 1310.87, "word": " value", "probability": 0.96044921875}], "temperature": 1.0}, {"id": 60, "seek": 134063, "start": 1313.95, "end": 1340.63, "text": "on the closed interval a وb is defined as average لدالة f بده ساوي واحد على b ناقص ال a تكمل من a إلى b للf of x dx example", "tokens": [266, 264, 5395, 15035, 257, 4032, 65, 307, 7642, 382, 4274, 5296, 3215, 6027, 3660, 283, 47525, 3224, 8608, 995, 45865, 36764, 24401, 15844, 272, 8717, 995, 4587, 9381, 2423, 257, 6055, 24793, 1211, 9154, 257, 30731, 272, 24976, 69, 295, 2031, 30017, 1365], "avg_logprob": -0.31527778307596843, "compression_ratio": 1.1940298507462686, "no_speech_prob": 0.0, "words": [{"start": 1313.9499999999998, "end": 1315.1499999999999, "word": "on", "probability": 0.07757568359375}, {"start": 1315.1499999999999, "end": 1316.35, "word": " the", "probability": 0.2529296875}, {"start": 1316.35, "end": 1316.83, "word": " closed", "probability": 0.81591796875}, {"start": 1316.83, "end": 1317.79, "word": " interval", "probability": 0.970703125}, {"start": 1317.79, "end": 1318.27, "word": " a", "probability": 0.5791015625}, {"start": 1318.27, "end": 1318.91, "word": " وb", "probability": 0.601318359375}, {"start": 1318.91, "end": 1320.77, "word": " is", "probability": 0.861328125}, {"start": 1320.77, "end": 1323.39, "word": " defined", "probability": 0.9208984375}, {"start": 1323.39, "end": 1325.41, "word": " as", "probability": 0.95458984375}, {"start": 1325.41, "end": 1327.71, "word": " average", "probability": 0.6298828125}, {"start": 1327.71, "end": 1328.63, "word": " لدالة", "probability": 0.79046630859375}, {"start": 1328.63, "end": 1329.01, "word": " f", "probability": 0.72705078125}, {"start": 1329.01, "end": 1329.55, "word": " بده", "probability": 0.4156494140625}, {"start": 1329.55, "end": 1330.07, "word": " ساوي", "probability": 0.8138020833333334}, {"start": 1330.07, "end": 1331.63, "word": " واحد", "probability": 0.92431640625}, {"start": 1331.63, "end": 1332.49, "word": " على", "probability": 0.6826171875}, {"start": 1332.49, "end": 1332.83, "word": " b", "probability": 0.5693359375}, {"start": 1332.83, "end": 1333.53, "word": " ناقص", "probability": 0.935302734375}, {"start": 1333.53, "end": 1333.79, "word": " ال", "probability": 0.919921875}, {"start": 1333.79, "end": 1334.15, "word": " a", "probability": 0.77587890625}, {"start": 1334.15, "end": 1335.27, "word": " تكمل", "probability": 0.83544921875}, {"start": 1335.27, "end": 1335.57, "word": " من", "probability": 0.99560546875}, {"start": 1335.57, "end": 1335.99, "word": " a", "probability": 0.98681640625}, {"start": 1335.99, "end": 1336.29, "word": " إلى", "probability": 0.779296875}, {"start": 1336.29, "end": 1336.71, "word": " b", "probability": 0.9912109375}, {"start": 1336.71, "end": 1337.39, "word": " للf", "probability": 0.5701904296875}, {"start": 1337.39, "end": 1337.79, "word": " of", "probability": 0.8779296875}, {"start": 1337.79, "end": 1338.27, "word": " x", "probability": 0.97900390625}, {"start": 1338.27, "end": 1338.85, "word": " dx", "probability": 0.89013671875}, {"start": 1338.85, "end": 1340.63, "word": " example", "probability": 0.6552734375}], "temperature": 1.0}, {"id": 61, "seek": 137511, "start": 1347.01, "end": 1375.11, "text": "Find the average value of the function لدالة F of X يساوي X ناقص واحد لكل تربيع over الفترة Zero وتلاتة", "tokens": [37, 471, 264, 4274, 2158, 295, 264, 2445, 5296, 3215, 6027, 3660, 479, 295, 1783, 7251, 3794, 995, 45865, 1783, 8717, 995, 4587, 9381, 36764, 24401, 5296, 28820, 6055, 2288, 21292, 3615, 670, 27188, 2655, 25720, 17182, 34683, 1211, 9307, 3660], "avg_logprob": -0.23232887295030413, "compression_ratio": 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1363.09, "end": 1364.51, "word": " يساوي", "probability": 0.90087890625}, {"start": 1364.51, "end": 1365.63, "word": " X", "probability": 0.8681640625}, {"start": 1365.63, "end": 1366.27, "word": " ناقص", "probability": 0.9154052734375}, {"start": 1366.27, "end": 1366.73, "word": " واحد", "probability": 0.98779296875}, {"start": 1366.73, "end": 1367.27, "word": " لكل", "probability": 0.970947265625}, {"start": 1367.27, "end": 1368.51, "word": " تربيع", "probability": 0.90234375}, {"start": 1368.51, "end": 1369.75, "word": " over", "probability": 0.64208984375}, {"start": 1369.75, "end": 1371.83, "word": " الفترة", "probability": 0.98974609375}, {"start": 1371.83, "end": 1373.51, "word": " Zero", "probability": 0.392578125}, {"start": 1373.51, "end": 1375.11, "word": " وتلاتة", "probability": 0.794677734375}], "temperature": 1.0}, {"id": 62, "seek": 143425, "start": 1409.97, "end": 1434.25, "text": "نعود للتعريف اللي كنا نكتبه يبقى قال لو كانت الدالة قابلة لتكمل على الفترة المغلقة A وB then its average أو its mean يعني المتوسط تبع الدالة أو المعدل تبع الدالة القيمة المتوسطة للدالة على الفترة A وB is defined as", "tokens": [1863, 3615, 23328, 24976, 2655, 3615, 16572, 5172, 13672, 1829, 9122, 8315, 8717, 4117, 2655, 3555, 3224, 7251, 3555, 4587, 7578, 50239, 45164, 25961, 2655, 32748, 6027, 3660, 12174, 16758, 37977, 5296, 2655, 24793, 1211, 15844, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 316, 4032, 33, 550, 1080, 4274, 34051, 1080, 914, 37495, 22653, 9673, 2655, 41779, 9566, 6055, 3555, 3615, 32748, 6027, 3660, 34051, 9673, 22488, 1211, 6055, 3555, 3615, 32748, 6027, 3660, 2423, 4587, 32640, 3660, 9673, 2655, 41779, 9566, 3660, 24976, 3215, 6027, 3660, 15844, 27188, 2655, 25720, 316, 4032, 33, 307, 7642, 382], "avg_logprob": -0.25286989643865704, "compression_ratio": 1.7688442211055277, "no_speech_prob": 0.0, "words": [{"start": 1409.97, "end": 1410.31, "word": "نعود", "probability": 0.5815022786458334}, {"start": 1410.31, "end": 1410.93, "word": " للتعريف", 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الفترة", "probability": 0.9742838541666666}, {"start": 1416.95, "end": 1417.79, "word": " المغلقة", "probability": 0.9542236328125}, {"start": 1417.79, "end": 1418.19, "word": " A", "probability": 0.492919921875}, {"start": 1418.19, "end": 1418.69, "word": " وB", "probability": 0.79638671875}, {"start": 1418.69, "end": 1419.57, "word": " then", "probability": 0.11932373046875}, {"start": 1419.57, "end": 1420.09, "word": " its", "probability": 0.7099609375}, {"start": 1420.09, "end": 1420.77, "word": " average", "probability": 0.82763671875}, {"start": 1420.77, "end": 1421.21, "word": " أو", "probability": 0.55712890625}, {"start": 1421.21, "end": 1421.69, "word": " its", "probability": 0.36962890625}, {"start": 1421.69, "end": 1422.15, "word": " mean", "probability": 0.646484375}, {"start": 1422.15, "end": 1422.51, "word": " يعني", "probability": 0.9169921875}, {"start": 1422.51, "end": 1423.67, "word": " المتوسط", "probability": 0.9818115234375}, {"start": 1423.67, "end": 1424.07, "word": " تبع", "probability": 0.8401692708333334}, {"start": 1424.07, "end": 1424.67, "word": " الدالة", "probability": 0.99169921875}, {"start": 1424.67, "end": 1424.87, "word": " أو", "probability": 0.701171875}, {"start": 1424.87, "end": 1425.55, "word": " المعدل", "probability": 0.9381510416666666}, {"start": 1425.55, "end": 1425.93, "word": " تبع", "probability": 0.9471028645833334}, {"start": 1425.93, "end": 1426.67, "word": " الدالة", "probability": 0.9939778645833334}, {"start": 1426.67, "end": 1429.91, "word": " القيمة", "probability": 0.624725341796875}, {"start": 1429.91, "end": 1430.75, "word": " المتوسطة", "probability": 0.99462890625}, {"start": 1430.75, "end": 1431.23, "word": " للدالة", "probability": 0.943603515625}, {"start": 1431.23, "end": 1431.39, "word": " على", "probability": 0.91357421875}, {"start": 1431.39, "end": 1431.93, "word": " الفترة", "probability": 0.9861653645833334}, {"start": 1431.93, "end": 1432.21, "word": " A", "probability": 0.9404296875}, {"start": 1432.21, "end": 1432.61, "word": " وB", "probability": 0.936767578125}, {"start": 1432.61, "end": 1432.91, "word": " is", "probability": 0.734375}, {"start": 1432.91, "end": 1433.61, "word": " defined", "probability": 0.9111328125}, {"start": 1433.61, "end": 1434.25, "word": " as", "probability": 0.97216796875}], "temperature": 1.0}, {"id": 63, "seek": 146303, "start": 1434.81, "end": 1463.03, "text": "هدّيلها الرمز average لف a v بينقصين f يبقى اختصار the average of the function f average لف واحد على b ناقص ال a لتكامل من a إلى b لل f of x dx يعني ايه؟يعني بدنا نروح نكمل الدالة على الفترة هذه كلها ثم نقسم نتيجة التكمل على طول الدالة تكمل يعني ايش؟ مساحة", "tokens": [3224, 3215, 11703, 26895, 11296, 34892, 2304, 11622, 4274, 5296, 5172, 257, 371, 4724, 9957, 4587, 9381, 9957, 283, 7251, 3555, 4587, 7578, 1975, 46456, 9381, 9640, 264, 4274, 295, 264, 2445, 283, 4274, 5296, 5172, 36764, 24401, 15844, 272, 8717, 995, 4587, 9381, 2423, 257, 5296, 2655, 4117, 10943, 1211, 9154, 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"probability": 0.27685546875}, {"start": 1438.47, "end": 1439.15, "word": " بينقصين", "probability": 0.64111328125}, {"start": 1439.15, "end": 1439.39, "word": " f", "probability": 0.59912109375}, {"start": 1439.39, "end": 1439.95, "word": " يبقى", "probability": 0.835205078125}, {"start": 1439.95, "end": 1440.75, "word": " اختصار", "probability": 0.96630859375}, {"start": 1440.75, "end": 1440.99, "word": " the", "probability": 0.27392578125}, {"start": 1440.99, "end": 1441.53, "word": " average", "probability": 0.7705078125}, {"start": 1441.53, "end": 1441.79, "word": " of", "probability": 0.96875}, {"start": 1441.79, "end": 1441.99, "word": " the", "probability": 0.8564453125}, {"start": 1441.99, "end": 1442.57, "word": " function", "probability": 0.9677734375}, {"start": 1442.57, "end": 1442.99, "word": " f", "probability": 0.79296875}, {"start": 1442.99, "end": 1443.83, "word": " average", "probability": 0.60107421875}, {"start": 1443.83, "end": 1444.33, "word": " لف", "probability": 0.71337890625}, {"start": 1444.33, "end": 1445.21, "word": " واحد", "probability": 0.9443359375}, {"start": 1445.21, "end": 1445.47, "word": " على", "probability": 0.5234375}, {"start": 1445.47, "end": 1445.71, "word": " b", "probability": 0.3212890625}, {"start": 1445.71, "end": 1446.29, "word": " ناقص", "probability": 0.8341064453125}, {"start": 1446.29, "end": 1446.47, "word": " ال", "probability": 0.82568359375}, {"start": 1446.47, "end": 1446.83, "word": " a", "probability": 0.822265625}, {"start": 1446.83, "end": 1447.97, "word": " لتكامل", "probability": 0.96455078125}, {"start": 1447.97, "end": 1448.17, "word": " من", "probability": 0.9921875}, {"start": 1448.17, "end": 1448.47, "word": " a", "probability": 0.9560546875}, {"start": 1448.47, "end": 1448.71, "word": " إلى", "probability": 0.7275390625}, {"start": 1448.71, "end": 1448.97, "word": " b", "probability": 0.9619140625}, {"start": 1448.97, "end": 1449.19, "word": " لل", "probability": 0.5751953125}, 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"word": " بقول", "probability": 0.960205078125}, {"start": 1479.42, "end": 1479.66, "word": " ال", "probability": 0.96923828125}, {"start": 1479.66, "end": 1480.32, "word": " average", "probability": 0.80712890625}, {"start": 1480.32, "end": 1480.98, "word": " value", "probability": 0.990234375}, {"start": 1480.98, "end": 1481.56, "word": " لدل", "probability": 0.5045572916666666}, {"start": 1481.56, "end": 1481.92, "word": " F", "probability": 0.48828125}, {"start": 1481.92, "end": 1482.2, "word": " على", "probability": 0.837890625}, {"start": 1482.2, "end": 1482.7, "word": " الفترة", "probability": 0.98486328125}, {"start": 1482.7, "end": 1483.38, "word": " المغلقة", "probability": 0.9654541015625}, {"start": 1483.38, "end": 1483.72, "word": " A", "probability": 0.25390625}, {"start": 1483.72, "end": 1484.18, "word": " وB", "probability": 0.740966796875}], "temperature": 1.0}, {"id": 65, "seek": 151280, "start": 1484.42, "end": 1512.8, "text": "هي عبارة عن واحد على بي نقص اللي هي تكامل من A إلى B لل F of X DX يعني تكامل يتدالى مقسوما على مين على طول الانترال واحد على بي نقص ال A يعني التكامل كله مقسوما على طول الفترة من A إلى B اللي هو B نقص ال A نجي نظر مثال عامل يقول هات ال average value لدالة F of X سوى X نقص واحد لكل تربيع على الفترة من Zero إلى تلاتة", "tokens": [3224, 1829, 6225, 3555, 9640, 3660, 18871, 36764, 24401, 15844, 4724, 1829, 8717, 4587, 9381, 13672, 1829, 39896, 6055, 4117, 10943, 1211, 9154, 316, 30731, 363, 24976, 479, 295, 1783, 48817, 37495, 22653, 6055, 4117, 10943, 1211, 7251, 2655, 3215, 6027, 7578, 3714, 4587, 3794, 2407, 15042, 15844, 3714, 9957, 15844, 23032, 12610, 2423, 7649, 2655, 2288, 6027, 36764, 24401, 15844, 4724, 1829, 8717, 4587, 9381, 2423, 316, 37495, 22653, 16712, 4117, 10943, 1211, 28242, 3224, 3714, 4587, 3794, 2407, 15042, 15844, 23032, 12610, 27188, 2655, 25720, 9154, 316, 30731, 363, 13672, 1829, 31439, 363, 8717, 4587, 9381, 2423, 316, 8717, 7435, 1829, 8717, 19913, 2288, 50113, 6027, 6225, 10943, 1211, 7251, 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1508.82, "end": 1509.42, "word": " تربيع", "probability": 0.8687744140625}, {"start": 1509.42, "end": 1510.0, "word": " على", "probability": 0.9033203125}, {"start": 1510.0, "end": 1510.5, "word": " الفترة", "probability": 0.9899088541666666}, {"start": 1510.5, "end": 1510.76, "word": " من", "probability": 0.99462890625}, {"start": 1510.76, "end": 1511.3, "word": " Zero", "probability": 0.5361328125}, {"start": 1511.3, "end": 1511.98, "word": " إلى", "probability": 0.92431640625}, {"start": 1511.98, "end": 1512.8, "word": " تلاتة", "probability": 0.93603515625}], "temperature": 1.0}, {"id": 66, "seek": 153015, "start": 1513.03, "end": 1530.15, "text": "يبقى باجي بقوله الـ Average لدلة F بده يساوي واحد على تلاتة ناقص Zero تكامل من Zero لغاية تلاتة لل X ناقص واحد لكل تربيع DX", "tokens": [1829, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 2423, 39184, 316, 3623, 5296, 3215, 37977, 479, 47525, 3224, 7251, 3794, 995, 45865, 36764, 24401, 15844, 6055, 1211, 9307, 3660, 8717, 995, 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هذا section اللي ال fundamental theorem of calculus", "tokens": [40228, 22653, 1975, 5016, 8315, 12602, 5172, 11242, 8315, 16712, 7649, 10632, 13672, 1829, 31439, 383, 6055, 3794, 995, 45865, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 10874, 8848, 2288, 6055, 1211, 9307, 3660, 457, 406, 5784, 5296, 2423, 15035, 1958, 1722, 37495, 22653, 5551, 9778, 3215, 8315, 16247, 12610, 7578, 4032, 8032, 2304, 1211, 8315, 16712, 7649, 10632, 5296, 28814, 1863, 11296, 37893, 3714, 29245, 23328, 3660, 11778, 47283, 1211, 29538, 27188, 2655, 25720, 48127, 1863, 7435, 1829, 6024, 48506, 24976, 1863, 19913, 2288, 10632, 13672, 1829, 1975, 5016, 8315, 11331, 41193, 9957, 11296, 18863, 1863, 2407, 7649, 13672, 1829, 6156, 30543, 6055, 3555, 3615, 23758, 3541, 13672, 1829, 2423, 8088, 20904, 295, 33400], "avg_logprob": -0.21080280686246938, "compression_ratio": 1.6770428015564203, "no_speech_prob": 0.0, "words": [{"start": 2561.54, "end": 2562.0, "word": "يعني", "probability": 0.6131591796875}, {"start": 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"end": 3554.43, "word": " الآن", "probability": 0.80615234375}, {"start": 3554.43, "end": 3555.15, "word": " للمثال", "probability": 0.91650390625}, {"start": 3555.15, "end": 3555.75, "word": " رقم", "probability": 0.94384765625}, {"start": 3555.75, "end": 3556.31, "word": " اتنين", "probability": 0.9737548828125}], "temperature": 1.0}, {"id": 149, "seek": 358452, "start": 3556.84, "end": 3584.52, "text": "يبقى example two بيقول if y تساوي صين ال X تكامل من كتان ال X إلى تان ال X لواحد على واحد زائد T تربيع DT", "tokens": [1829, 3555, 4587, 7578, 1365, 732, 4724, 1829, 39648, 498, 288, 6055, 3794, 995, 45865, 20328, 9957, 2423, 1783, 6055, 4117, 10943, 1211, 9154, 9122, 2655, 7649, 2423, 1783, 30731, 6055, 7649, 2423, 1783, 5296, 14407, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 314, 6055, 2288, 21292, 3615, 413, 51], "avg_logprob": -0.25428922152986716, "compression_ratio": 1.3387096774193548, "no_speech_prob": 0.0, "words": [{"start": 3556.84, "end": 3557.28, "word": "يبقى", 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"probability": 0.95947265625}, {"start": 3575.48, "end": 3575.72, "word": " ال", "probability": 0.9248046875}, {"start": 3575.72, "end": 3576.22, "word": " X", "probability": 0.96728515625}, {"start": 3576.22, "end": 3577.3, "word": " إلى", "probability": 0.80419921875}, {"start": 3577.3, "end": 3578.06, "word": " تان", "probability": 0.989501953125}, {"start": 3578.06, "end": 3578.34, "word": " ال", "probability": 0.94970703125}, {"start": 3578.34, "end": 3578.82, "word": " X", "probability": 0.99267578125}, {"start": 3578.82, "end": 3580.36, "word": " لواحد", "probability": 0.6079915364583334}, {"start": 3580.36, "end": 3580.8, "word": " على", "probability": 0.77685546875}, {"start": 3580.8, "end": 3581.48, "word": " واحد", "probability": 0.98681640625}, {"start": 3581.48, "end": 3582.32, "word": " زائد", "probability": 0.8108723958333334}, {"start": 3582.32, "end": 3582.62, "word": " T", "probability": 0.7509765625}, {"start": 3582.62, "end": 3583.68, "word": " تربيع", "probability": 0.914306640625}, {"start": 3583.68, "end": 3584.52, "word": " DT", "probability": 0.784912109375}], "temperature": 1.0}, {"id": 150, "seek": 361422, "start": 3606.16, "end": 3614.22, "text": "بنفس الطريقة في السؤال اللي قبل قليل هذه تعتبر function وهذه كلها function تانية", "tokens": [3555, 1863, 36178, 41950, 16572, 28671, 8978, 21136, 33604, 6027, 13672, 1829, 12174, 36150, 12174, 20292, 1211, 29538, 6055, 34268, 26890, 2445, 37037, 24192, 28242, 11296, 2445, 6055, 7649, 10632], "avg_logprob": -0.24936996160014982, "compression_ratio": 1.2718446601941749, "no_speech_prob": 0.0, "words": [{"start": 3606.16, "end": 3607.2, "word": "بنفس", "probability": 0.6436971028645834}, {"start": 3607.2, "end": 3607.76, "word": " الطريقة", "probability": 0.98779296875}, {"start": 3607.76, "end": 3607.94, "word": " في", "probability": 0.8310546875}, {"start": 3607.94, "end": 3608.3, "word": " السؤال", "probability": 0.9943033854166666}, {"start": 3608.3, "end": 3608.5, "word": " اللي", "probability": 0.5413818359375}, {"start": 3608.5, "end": 3608.86, "word": " قبل", "probability": 0.992431640625}, {"start": 3608.86, "end": 3609.54, "word": " قليل", "probability": 0.9860026041666666}, {"start": 3609.54, "end": 3610.46, "word": " هذه", "probability": 0.383056640625}, {"start": 3610.46, "end": 3611.2, "word": " تعتبر", "probability": 0.9708658854166666}, {"start": 3611.2, "end": 3611.78, "word": " function", "probability": 0.8173828125}, {"start": 3611.78, "end": 3612.88, "word": " وهذه", "probability": 0.71435546875}, {"start": 3612.88, "end": 3613.26, "word": " كلها", "probability": 0.9365234375}, {"start": 3613.26, "end": 3613.74, "word": " function", "probability": 0.86328125}, {"start": 3613.74, "end": 3614.22, "word": " تانية", "probability": 0.9671223958333334}], "temperature": 1.0}, {"id": 151, "seek": 364404, "start": 3614.72, "end": 3644.04, "text": "اذا انا مشتقت ايه؟ اصل ضرب دالي تاني يبقى بالدي ال Y prime سنة الدالة الأولى تمام؟ في مشتقت الدالة الثانية يبقى هاي فتح نقص الدالة الثانية بدي أشيل كل T و أحط مكانها تان ال X يبقى واحد على واحد زائد تان تربيع ال X في مشتقت التان جداش؟", "tokens": [45636, 995, 1975, 8315, 37893, 2655, 38149, 1975, 1829, 3224, 22807, 1975, 36520, 48812, 25513, 11778, 6027, 1829, 6055, 7649, 1829, 7251, 3555, 4587, 7578, 20666, 16254, 2423, 398, 5835, 8608, 1863, 3660, 32748, 6027, 3660, 16247, 12610, 7578, 46811, 10943, 22807, 8978, 37893, 2655, 38149, 32748, 6027, 3660, 6024, 104, 7649, 10632, 7251, 3555, 4587, 7578, 8032, 47302, 6156, 2655, 5016, 8717, 4587, 9381, 32748, 6027, 3660, 6024, 104, 7649, 10632, 4724, 16254, 5551, 8592, 26895, 28242, 314, 4032, 5551, 5016, 9566, 3714, 41361, 11296, 6055, 7649, 2423, 1783, 7251, 3555, 4587, 7578, 36764, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 6055, 7649, 6055, 2288, 21292, 3615, 2423, 1783, 8978, 37893, 2655, 38149, 16712, 7649, 10874, 3215, 33599, 22807], "avg_logprob": -0.29493800864731967, "compression_ratio": 1.9523809523809523, 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3641.74, "word": " مشتقت", "probability": 0.9640299479166666}, {"start": 3641.74, "end": 3642.58, "word": " التان", "probability": 0.846435546875}, {"start": 3642.58, "end": 3644.04, "word": " جداش؟", "probability": 0.57635498046875}], "temperature": 1.0}, {"id": 152, "seek": 367433, "start": 3645.45, "end": 3674.33, "text": "تربيع ال X خلصنا الدالة اللى فوق اللى عملنا الدالة اللى فوق بدنا نعمل الدالة اللى تاعة واحد على واحد زائد كتان تربيع ال X في طفول كتان بسالب كسكن تربيع ال X خلصنا هذا لسه الأول في مشتقة الثانية زائد الثانية في مشتقة الأولى زائد", "tokens": [2655, 2288, 21292, 3615, 2423, 1783, 16490, 1211, 9381, 8315, 32748, 6027, 3660, 13672, 7578, 6156, 30543, 13672, 7578, 6225, 42213, 8315, 32748, 6027, 3660, 13672, 7578, 6156, 30543, 47525, 8315, 8717, 25957, 1211, 32748, 6027, 3660, 13672, 7578, 6055, 995, 27884, 36764, 24401, 15844, 36764, 24401, 30767, 16373, 3215, 9122, 2655, 7649, 6055, 2288, 21292, 3615, 2423, 1783, 8978, 23032, 5172, 12610, 9122, 2655, 7649, 4724, 3794, 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10943, 1211, 9154, 17182, 30731, 17741, 5296, 14407, 24401, 30767, 16373, 3215, 23565, 2423, 1783, 48817, 16490, 1211, 11703, 1829, 3714, 15040, 4117, 34105], "avg_logprob": -0.2720833420753479, "compression_ratio": 1.577922077922078, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 4236.48, "end": 4237.06, "word": "بطلع", "probability": 0.664306640625}, {"start": 4237.06, "end": 4237.36, "word": " واحد", "probability": 0.9541015625}, {"start": 4237.36, "end": 4238.06, "word": " صحيح", "probability": 0.97265625}, {"start": 4238.06, "end": 4239.84, "word": " طيب", "probability": 0.7227783203125}, {"start": 4239.84, "end": 4240.58, "word": " نجي", "probability": 0.76904296875}, {"start": 4240.58, "end": 4240.98, "word": " ناخد", "probability": 0.98095703125}, {"start": 4240.98, "end": 4241.36, "word": " كمان", "probability": 0.8114420572916666}, {"start": 4241.36, "end": 4242.02, "word": " مثال", "probability": 0.982666015625}, {"start": 4242.02, "end": 4242.36, "word": " نمر", "probability": 0.60595703125}, {"start": 4242.36, "end": 4243.14, "word": " اتنين", "probability": 0.9212646484375}, {"start": 4243.14, "end": 4244.32, "word": " بدنا", "probability": 0.906005859375}, {"start": 4244.32, "end": 4245.44, "word": " تكامل", "probability": 0.9853515625}, {"start": 4245.44, "end": 4247.18, "word": " لمين؟", "probability": 0.5220540364583334}, {"start": 4247.18, "end": 4247.6, "word": " لواحد", "probability": 0.83056640625}, {"start": 4247.6, "end": 4247.98, "word": " زائد", "probability": 0.7639973958333334}, {"start": 4247.98, "end": 4248.46, "word": " cosine", "probability": 0.6181640625}, {"start": 4248.46, "end": 4248.82, "word": " ال", "probability": 0.63525390625}, {"start": 4248.82, "end": 4249.12, "word": " X", "probability": 0.60986328125}, {"start": 4249.12, "end": 4250.42, "word": " تكامل", "probability": 0.962158203125}, {"start": 4250.42, "end": 4250.7, "word": " من", "probability": 0.99658203125}, {"start": 4250.7, "end": 4251.18, "word": " Zero", "probability": 0.472412109375}, {"start": 4251.18, "end": 4251.66, "word": " إلى", "probability": 0.7998046875}, {"start": 4251.66, "end": 4252.24, "word": " Pi", "probability": 0.257568359375}, {"start": 4252.24, "end": 4253.58, "word": " لواحد", "probability": 0.8912760416666666}, {"start": 4253.58, "end": 4254.16, "word": " زائد", "probability": 0.9620768229166666}, {"start": 4254.16, "end": 4254.72, "word": " cosine", "probability": 0.896484375}, {"start": 4254.72, "end": 4255.14, "word": " ال", "probability": 0.88916015625}, {"start": 4255.14, "end": 4255.62, "word": " X", "probability": 0.97705078125}, {"start": 4255.62, "end": 4256.32, "word": " DX", "probability": 0.72021484375}, {"start": 4256.32, "end": 4259.62, "word": " خلّي", "probability": 0.7567138671875}, {"start": 4259.62, "end": 4259.9, "word": " ملاك", "probability": 0.50732421875}, {"start": 4259.9, "end": 4260.06, "word": " هنا", "probability": 0.95068359375}], "temperature": 1.0}, {"id": 177, "seek": 426891, "start": 4260.85, "end": 4268.91, "text": "هذا تكامل يستوي تكامل واحد بقداش تكامل cosine من ورا الى ورا", "tokens": [3224, 15730, 6055, 4117, 10943, 1211, 7251, 14851, 45865, 6055, 4117, 10943, 1211, 36764, 24401, 4724, 28543, 33599, 6055, 4117, 10943, 1211, 23565, 9154, 4032, 23557, 2423, 7578, 4032, 23557], "avg_logprob": -0.3140120929287326, "compression_ratio": 1.271604938271605, "no_speech_prob": 0.0, "words": [{"start": 4260.85, "end": 4261.27, "word": "هذا", "probability": 0.8564453125}, {"start": 4261.27, "end": 4261.91, "word": " تكامل", "probability": 0.73583984375}, {"start": 4261.91, "end": 4262.57, "word": " يستوي", "probability": 0.7452799479166666}, {"start": 4262.57, "end": 4263.29, "word": " تكامل", "probability": 0.8717041015625}, {"start": 4263.29, "end": 4263.55, "word": " واحد", "probability": 0.918701171875}, {"start": 4263.55, "end": 4264.29, "word": " بقداش", "probability": 0.773681640625}, {"start": 4264.29, "end": 4265.69, "word": " تكامل", "probability": 0.8861083984375}, {"start": 4265.69, "end": 4266.39, "word": " cosine", "probability": 0.479736328125}, {"start": 4266.39, "end": 4268.29, "word": " من", "probability": 0.89453125}, {"start": 4268.29, "end": 4268.55, "word": " ورا", "probability": 0.4735107421875}, {"start": 4268.55, "end": 4268.73, "word": " الى", "probability": 0.59619140625}, {"start": 4268.73, "end": 4268.91, "word": " ورا", "probability": 0.95361328125}], "temperature": 1.0}, {"id": 178, "seek": 429810, "start": 4270.61, "end": 4298.11, "text": "زيرو لغاية باي نجي نعوض بحدود التكامل يبقى باي زائد صين البي ناقص زيرو ناقص صين الزيرو و يساوي باي قداش صين البي زيرو و صين الزيرو يبقى هذا كله باي فقط والباقي كله بأصفر بروح مع السلامة example three", "tokens": [11622, 13546, 2407, 5296, 17082, 995, 10632, 4724, 47302, 8717, 7435, 1829, 8717, 3615, 2407, 11242, 4724, 24401, 23328, 16712, 4117, 10943, 1211, 7251, 3555, 4587, 7578, 4724, 47302, 30767, 16373, 3215, 20328, 9957, 2423, 21292, 8717, 995, 4587, 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{"start": 4273.73, "end": 4274.25, "word": " بحدود", "probability": 0.9195963541666666}, {"start": 4274.25, "end": 4275.09, "word": " التكامل", "probability": 0.9632568359375}, {"start": 4275.09, "end": 4276.35, "word": " يبقى", "probability": 0.9564208984375}, {"start": 4276.35, "end": 4276.97, "word": " باي", "probability": 0.8037109375}, {"start": 4276.97, "end": 4277.75, "word": " زائد", "probability": 0.8859049479166666}, {"start": 4277.75, "end": 4278.79, "word": " صين", "probability": 0.6614990234375}, {"start": 4278.79, "end": 4279.37, "word": " البي", "probability": 0.5146484375}, {"start": 4279.37, "end": 4280.69, "word": " ناقص", "probability": 0.9525146484375}, {"start": 4280.69, "end": 4281.29, "word": " زيرو", "probability": 0.8382161458333334}, {"start": 4281.29, "end": 4282.05, "word": " ناقص", "probability": 0.97802734375}, {"start": 4282.05, "end": 4282.55, "word": " صين", "probability": 0.98095703125}, {"start": 4282.55, "end": 4283.15, "word": " الزيرو", 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هذا", "probability": 0.814453125}, {"start": 4290.89, "end": 4292.09, "word": " كله", "probability": 0.975830078125}, {"start": 4292.09, "end": 4292.77, "word": " باي", "probability": 0.88720703125}, {"start": 4292.77, "end": 4293.49, "word": " فقط", "probability": 0.98193359375}, {"start": 4293.49, "end": 4294.03, "word": " والباقي", "probability": 0.75885009765625}, {"start": 4294.03, "end": 4294.45, "word": " كله", "probability": 0.9208984375}, {"start": 4294.45, "end": 4295.01, "word": " بأصفر", "probability": 0.73134765625}, {"start": 4295.01, "end": 4295.43, "word": " بروح", "probability": 0.9697265625}, {"start": 4295.43, "end": 4295.63, "word": " مع", "probability": 0.99267578125}, {"start": 4295.63, "end": 4296.53, "word": " السلامة", "probability": 0.9181315104166666}, {"start": 4296.53, "end": 4297.67, "word": " example", "probability": 0.828125}, {"start": 4297.67, "end": 4298.11, "word": " three", "probability": 0.276611328125}], "temperature": 1.0}, {"id": 179, "seek": 431602, "start": 4302.14, "end": 4316.02, "text": "بنتكامل من واحد لغاية اتنين لل X زائد واحد على X الكل ترابيع DX كيف نتكامل هذا", "tokens": [3555, 1863, 2655, 4117, 10943, 1211, 9154, 36764, 24401, 5296, 17082, 995, 10632, 1975, 2655, 1863, 9957, 24976, 1783, 30767, 16373, 3215, 36764, 24401, 15844, 1783, 2423, 28820, 6055, 2288, 16758, 40228, 48817, 9122, 33911, 8717, 2655, 4117, 10943, 1211, 23758], "avg_logprob": -0.33482142928100767, "compression_ratio": 1.3465346534653466, "no_speech_prob": 0.0, "words": [{"start": 4302.14, "end": 4303.54, "word": "بنتكامل", "probability": 0.6017049153645834}, {"start": 4303.54, "end": 4304.94, "word": " من", "probability": 0.82470703125}, {"start": 4304.94, "end": 4305.64, "word": " واحد", "probability": 0.853515625}, {"start": 4305.64, "end": 4306.38, "word": " لغاية", "probability": 0.959228515625}, {"start": 4306.38, "end": 4307.04, "word": " اتنين", "probability": 0.9495849609375}, {"start": 4307.04, "end": 4308.02, "word": " لل", 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4318.85, "end": 4338.53, "text": "فك التربية مش هيك طيب هذا الكلام بده يصير تكمل من واحد للاتنين لل X تربية زائد اتنين فقط صح ولا لأ حصل ضربهما زائد واحد على X تربية كله في DX", "tokens": [5172, 4117, 16712, 25513, 10632, 37893, 39896, 4117, 23032, 1829, 3555, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 9381, 13546, 6055, 24793, 1211, 9154, 36764, 24401, 24976, 9307, 1863, 9957, 24976, 1783, 6055, 25513, 10632, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 6156, 47432, 20328, 5016, 49429, 5296, 10721, 11331, 36520, 48812, 25513, 3224, 15042, 30767, 16373, 3215, 36764, 24401, 15844, 1783, 6055, 25513, 10632, 28242, 3224, 8978, 48817], "avg_logprob": -0.22154017899717604, "compression_ratio": 1.6689189189189189, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 4318.85, "end": 4319.17, "word": "فك", "probability": 0.39105224609375}, {"start": 4319.17, "end": 4319.75, "word": " التربية", "probability": 0.8375651041666666}, {"start": 4319.75, "end": 4320.27, "word": " مش", 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شلته مابتفرجش مصبوط ولا لا يبقى بصير cosine ال x زائد cosine ال x في dx", "tokens": [3224, 15730, 2423, 25513, 3615, 16247, 12610, 28242, 28239, 35457, 3660, 9673, 12984, 1211, 12984, 10632, 3714, 29245, 49401, 11933, 15730, 23758, 2423, 8236, 9122, 2655, 3555, 2655, 4032, 21984, 13412, 1211, 2655, 3224, 3714, 16758, 2655, 5172, 47341, 8592, 3714, 9381, 3555, 2407, 9566, 49429, 20193, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 23565, 2423, 2031, 30767, 16373, 3215, 23565, 2423, 2031, 8978, 30017], "avg_logprob": -0.34777462708227563, "compression_ratio": 1.4968152866242037, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 4907.37, "end": 4907.83, "word": "هذا", "probability": 0.75146484375}, {"start": 4907.83, "end": 4908.27, "word": " الربع", "probability": 0.6288655598958334}, {"start": 4908.27, "end": 4908.93, "word": " الأول", "probability": 0.915283203125}, {"start": 4908.93, "end": 4909.39, "word": " كل", "probability": 0.8271484375}, {"start": 4909.39, "end": 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