diff --git "a/PL9fwy3NUQKwYd6gznbXUdYHgGQaov9O9i/eR1WxFoFg9U_raw.json" "b/PL9fwy3NUQKwYd6gznbXUdYHgGQaov9O9i/eR1WxFoFg9U_raw.json"
new file mode 100644--- /dev/null
+++ "b/PL9fwy3NUQKwYd6gznbXUdYHgGQaov9O9i/eR1WxFoFg9U_raw.json"
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2977, "start": 1.21, "end": 29.77, "text": "بسم الله الرحمن الرحيم اليوم شاء الله بدنا نكمل في chapter عشرة اللي بنحكي فيه عن ال series بدينا بال series من section عشرة اتنين حكينا عرفنا اللي هو نوعين من ال series اللي هو بنشوفهم converge او diverge عن طريق ال SN اللي هي sequence of partial sum بنجيب ال limit لل SN انت قول إلى ما لنهاية إذا كان هذا ال limit موجودة بتكون ال series converge إذا كان it does not exist بتكون ال series diverge", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 45595, 20498, 13412, 16606, 21984, 47525, 8315, 8717, 24793, 1211, 8978, 7187, 6225, 8592, 25720, 13672, 1829, 44945, 5016, 4117, 1829, 8978, 3224, 18871, 2423, 2638, 47525, 1829, 8315, 20666, 2638, 9154, 3541, 6225, 8592, 25720, 1975, 2655, 1863, 9957, 11331, 4117, 1829, 8315, 6225, 28480, 8315, 13672, 1829, 31439, 8717, 45367, 9957, 9154, 2423, 2638, 13672, 1829, 31439, 44945, 8592, 38688, 16095, 41881, 1975, 2407, 18558, 432, 18871, 23032, 16572, 4587, 2423, 13955, 13672, 1829, 39896, 8310, 295, 14641, 2408, 44945, 7435, 1829, 3555, 2423, 4948, 24976, 13955, 16472, 2655, 12174, 12610, 30731, 19446, 5296, 1863, 11296, 10632, 11933, 15730, 25961, 23758, 2423, 4948, 3714, 29245, 23328, 3660, 39894, 30544, 2423, 2638, 41881, 11933, 15730, 25961, 309, 775, 406, 2514, 39894, 30544, 2423, 2638, 18558, 432], "avg_logprob": -0.17598084637718478, "compression_ratio": 1.9866220735785953, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 1.21, "end": 1.37, "word": "بسم", "probability": 0.729248046875}, {"start": 1.37, "end": 1.49, "word": " الله", "probability": 0.92578125}, {"start": 1.49, "end": 1.77, "word": " الرحمن", "probability": 0.97021484375}, {"start": 1.77, "end": 2.21, "word": " الرحيم", "probability": 0.9874674479166666}, {"start": 2.21, "end": 2.47, "word": " اليوم", "probability": 0.759765625}, {"start": 2.47, "end": 2.65, "word": " شاء", "probability": 0.35455322265625}, {"start": 2.65, "end": 2.81, "word": " الله", "probability": 0.9248046875}, {"start": 2.81, "end": 3.21, "word": " بدنا", "probability": 0.766845703125}, {"start": 3.21, "end": 3.71, "word": " نكمل", "probability": 0.9606119791666666}, {"start": 3.71, "end": 3.85, "word": " في", "probability": 0.9306640625}, {"start": 3.85, "end": 4.15, "word": " chapter", "probability": 0.583984375}, {"start": 4.15, "end": 4.63, "word": " عشرة", "probability": 0.6822916666666666}, {"start": 4.63, "end": 4.87, "word": " اللي", "probability": 0.927490234375}, {"start": 4.87, "end": 5.33, "word": " بنحكي", "probability": 0.9080810546875}, {"start": 5.33, "end": 5.51, "word": " فيه", "probability": 0.970458984375}, {"start": 5.51, "end": 5.77, "word": " عن", "probability": 0.99169921875}, {"start": 5.77, "end": 6.81, "word": " ال", "probability": 0.92724609375}, {"start": 6.81, "end": 7.39, "word": " series", "probability": 0.69677734375}, {"start": 7.39, "end": 8.61, "word": " بدينا", "probability": 0.6744791666666666}, {"start": 8.61, "end": 8.83, "word": " بال", "probability": 0.9111328125}, {"start": 8.83, "end": 9.13, "word": " series", "probability": 0.92236328125}, {"start": 9.13, "end": 9.33, "word": " من", "probability": 0.986328125}, {"start": 9.33, "end": 9.71, "word": " section", "probability": 0.787109375}, {"start": 9.71, "end": 10.07, "word": " عشرة", "probability": 0.91650390625}, {"start": 10.07, "end": 10.57, "word": " اتنين", "probability": 0.82391357421875}, {"start": 10.57, "end": 11.17, "word": " حكينا", "probability": 0.969970703125}, {"start": 11.17, "end": 12.65, "word": " عرفنا", "probability": 0.8463541666666666}, {"start": 12.65, "end": 12.91, "word": " اللي", "probability": 0.956298828125}, {"start": 12.91, "end": 13.27, "word": " هو", "probability": 0.99169921875}, {"start": 13.27, "end": 14.27, "word": " نوعين", "probability": 0.9700520833333334}, {"start": 14.27, "end": 14.55, "word": " من", "probability": 0.99560546875}, {"start": 14.55, "end": 15.11, "word": " ال", "probability": 0.93212890625}, {"start": 15.11, "end": 15.49, "word": " series", "probability": 0.9677734375}, {"start": 15.49, "end": 16.27, "word": " اللي", "probability": 0.98486328125}, {"start": 16.27, "end": 16.51, "word": " هو", "probability": 0.97900390625}, {"start": 16.51, "end": 17.03, "word": " بنشوفهم", "probability": 0.955322265625}, {"start": 17.03, "end": 17.41, "word": " converge", "probability": 0.8466796875}, {"start": 17.41, "end": 17.59, "word": " او", "probability": 0.697021484375}, {"start": 17.59, "end": 18.09, "word": " diverge", "probability": 0.7724609375}, {"start": 18.09, "end": 18.23, "word": " عن", "probability": 0.9619140625}, {"start": 18.23, "end": 19.03, "word": " طريق", "probability": 0.9938151041666666}, {"start": 19.03, "end": 19.23, "word": " ال", "probability": 0.93310546875}, {"start": 19.23, "end": 19.75, "word": " SN", "probability": 0.28369140625}, {"start": 19.75, "end": 19.99, "word": " اللي", "probability": 0.914306640625}, {"start": 19.99, "end": 20.21, "word": " هي", "probability": 0.92529296875}, {"start": 20.21, "end": 20.67, "word": " sequence", "probability": 0.90771484375}, {"start": 20.67, "end": 20.91, "word": " of", "probability": 0.96875}, {"start": 20.91, "end": 21.25, "word": " partial", "probability": 0.94775390625}, {"start": 21.25, "end": 21.63, "word": " sum", "probability": 0.92626953125}, {"start": 21.63, "end": 22.05, "word": " بنجيب", "probability": 0.9693603515625}, {"start": 22.05, "end": 22.17, "word": " ال", "probability": 0.76123046875}, {"start": 22.17, "end": 22.39, "word": " limit", "probability": 0.96630859375}, {"start": 22.39, "end": 22.57, "word": " لل", "probability": 0.83740234375}, {"start": 22.57, "end": 22.93, "word": " SN", "probability": 0.53076171875}, {"start": 22.93, "end": 23.39, "word": " انت", "probability": 0.470458984375}, {"start": 23.39, "end": 23.57, "word": " قول", "probability": 0.92919921875}, {"start": 23.57, "end": 23.75, "word": " إلى", "probability": 0.80810546875}, {"start": 23.75, "end": 23.93, "word": " ما", "probability": 0.9326171875}, {"start": 23.93, "end": 24.53, "word": " لنهاية", "probability": 0.864990234375}, {"start": 24.53, "end": 25.03, "word": " إذا", "probability": 0.890869140625}, {"start": 25.03, "end": 25.25, "word": " كان", "probability": 0.99560546875}, {"start": 25.25, "end": 25.39, "word": " هذا", "probability": 0.53271484375}, {"start": 25.39, "end": 25.47, "word": " ال", "probability": 0.865234375}, {"start": 25.47, "end": 25.65, "word": " limit", "probability": 0.98291015625}, {"start": 25.65, "end": 26.09, "word": " موجودة", "probability": 0.921875}, {"start": 26.09, "end": 26.39, "word": " بتكون", "probability": 0.82373046875}, {"start": 26.39, "end": 26.53, "word": " ال", "probability": 0.97900390625}, {"start": 26.53, "end": 26.75, "word": " series", "probability": 0.95458984375}, {"start": 26.75, "end": 27.23, "word": " converge", "probability": 0.9609375}, {"start": 27.23, "end": 27.45, "word": " إذا", "probability": 0.93310546875}, {"start": 27.45, "end": 27.63, "word": " كان", "probability": 0.958984375}, {"start": 27.63, "end": 27.71, "word": " it", "probability": 0.300537109375}, {"start": 27.71, "end": 27.89, "word": " does", "probability": 0.8798828125}, {"start": 27.89, "end": 28.03, "word": " not", "probability": 0.96240234375}, {"start": 28.03, "end": 28.43, "word": " exist", "probability": 0.95947265625}, {"start": 28.43, "end": 28.75, "word": " بتكون", "probability": 0.937744140625}, {"start": 28.75, "end": 28.87, "word": " ال", "probability": 0.98486328125}, {"start": 28.87, "end": 29.13, "word": " series", "probability": 0.94677734375}, {"start": 29.13, "end": 29.77, "word": " diverge", "probability": 0.777099609375}], "temperature": 1.0}, {"id": 2, "seek": 5831, "start": 30.27, "end": 58.31, "text": "والنوعين اللي أخدناهم اللي هو الـ Geometric Series ويعرفنا أمتى بتكون converge وامتى diverge وإيش شكلها و الـ Telescoping Series طبعا مالها الشكل معين لكن عن طريق الـ SN بتعرفي هل هي Telescoping Series أو لأ أخدنا test أخر اللي هو الـ Nth term test اللي هو limit الـ AN لما N تقول إلى مانة نهاية إذا كان لأ يساوي سفر فال series diverge هذا و هذا يستخدم فقط لل divergence لكن لا يثبت إنها converge فقط يثبت إنها", "tokens": [2407, 6027, 1863, 45367, 9957, 13672, 1829, 5551, 9778, 3215, 8315, 16095, 13672, 1829, 31439, 2423, 39184, 2876, 29470, 13934, 4032, 40228, 28480, 8315, 5551, 2304, 49975, 39894, 30544, 41881, 4032, 10943, 49975, 18558, 432, 4032, 28814, 1829, 8592, 13412, 28820, 11296, 4032, 2423, 39184, 48595, 13084, 278, 13934, 23032, 3555, 3615, 995, 19446, 1211, 11296, 25124, 28820, 20449, 9957, 44381, 18871, 23032, 16572, 4587, 2423, 39184, 13955, 39894, 3615, 28480, 1829, 8032, 1211, 39896, 48595, 13084, 278, 13934, 34051, 5296, 10721, 5551, 9778, 3215, 8315, 1500, 5551, 34740, 13672, 1829, 31439, 2423, 39184, 426, 392, 1433, 1500, 13672, 1829, 31439, 4948, 2423, 39184, 5252, 5296, 15042, 426, 6055, 39648, 30731, 3714, 7649, 3660, 8717, 11296, 10632, 11933, 15730, 25961, 5296, 10721, 7251, 3794, 995, 45865, 8608, 5172, 2288, 6156, 6027, 2638, 18558, 432, 23758, 4032, 23758, 7251, 14851, 9778, 40448, 6156, 47432, 24976, 47387, 44381, 20193, 7251, 12984, 3555, 2655, 36145, 11296, 41881, 6156, 47432, 7251, 12984, 3555, 2655, 36145, 11296], "avg_logprob": -0.24233129200028494, "compression_ratio": 1.9746031746031747, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 30.27, "end": 30.83, "word": "والنوعين", "probability": 0.8705078125}, {"start": 30.83, "end": 30.91, "word": " اللي", "probability": 0.896728515625}, {"start": 30.91, "end": 31.25, "word": " أخدناهم", "probability": 0.88359375}, {"start": 31.25, "end": 31.37, "word": " اللي", "probability": 0.6585693359375}, {"start": 31.37, "end": 31.43, "word": " هو", "probability": 0.493408203125}, {"start": 31.43, "end": 31.55, "word": " الـ", "probability": 0.83935546875}, {"start": 31.55, "end": 31.91, "word": " Geometric", "probability": 0.78857421875}, {"start": 31.91, "end": 32.31, "word": " Series", "probability": 0.78173828125}, {"start": 32.31, "end": 32.77, "word": " ويعرفنا", "probability": 0.8489990234375}, {"start": 32.77, "end": 33.01, "word": " أمتى", "probability": 0.8483072916666666}, {"start": 33.01, "end": 33.33, "word": " بتكون", "probability": 0.934814453125}, {"start": 33.33, "end": 33.73, "word": " converge", "probability": 0.6669921875}, {"start": 33.73, "end": 34.07, "word": " وامتى", "probability": 0.721923828125}, {"start": 34.07, "end": 34.49, "word": " diverge", "probability": 0.615234375}, {"start": 34.49, "end": 34.69, "word": " وإيش", "probability": 0.7518310546875}, {"start": 34.69, "end": 35.15, "word": " شكلها", "probability": 0.98876953125}, {"start": 35.15, "end": 35.67, "word": " و", "probability": 0.63037109375}, {"start": 35.67, "end": 35.99, "word": " الـ", "probability": 0.4852294921875}, {"start": 35.99, "end": 36.45, "word": " Telescoping", "probability": 0.7898763020833334}, {"start": 36.45, "end": 36.77, "word": " Series", "probability": 0.8486328125}, {"start": 36.77, "end": 37.13, "word": " طبعا", "probability": 0.974365234375}, {"start": 37.13, "end": 37.37, "word": " مالها", "probability": 0.74267578125}, {"start": 37.37, "end": 37.69, "word": " الشكل", "probability": 0.910888671875}, {"start": 37.69, "end": 38.07, "word": " معين", "probability": 0.938232421875}, {"start": 38.07, "end": 38.49, "word": " لكن", "probability": 0.90478515625}, {"start": 38.49, "end": 39.01, "word": " عن", "probability": 0.86376953125}, {"start": 39.01, "end": 39.29, "word": " طريق", "probability": 0.9949544270833334}, {"start": 39.29, "end": 39.47, "word": " الـ", "probability": 0.654296875}, {"start": 39.47, "end": 39.75, "word": " SN", "probability": 0.70166015625}, {"start": 39.75, "end": 40.33, "word": " بتعرفي", "probability": 0.876953125}, {"start": 40.33, "end": 40.49, "word": " هل", "probability": 0.941650390625}, {"start": 40.49, "end": 40.75, "word": " هي", "probability": 0.8818359375}, {"start": 40.75, "end": 41.43, "word": " Telescoping", "probability": 0.8349609375}, {"start": 41.43, "end": 41.75, "word": " Series", "probability": 0.94970703125}, {"start": 41.75, "end": 41.95, "word": " أو", "probability": 0.84228515625}, {"start": 41.95, "end": 42.17, "word": " لأ", "probability": 0.91943359375}, {"start": 42.17, "end": 43.13, "word": " أخدنا", "probability": 0.9573974609375}, {"start": 43.13, "end": 43.43, "word": " test", "probability": 0.48486328125}, {"start": 43.43, "end": 44.29, "word": " أخر", "probability": 0.76025390625}, {"start": 44.29, "end": 44.55, "word": " اللي", "probability": 0.969482421875}, {"start": 44.55, "end": 44.75, "word": " هو", "probability": 0.99072265625}, {"start": 44.75, "end": 45.07, "word": " الـ", "probability": 0.613037109375}, {"start": 45.07, "end": 45.37, "word": " Nth", "probability": 0.542236328125}, {"start": 45.37, "end": 45.59, "word": " term", "probability": 0.318359375}, {"start": 45.59, "end": 46.05, "word": " test", "probability": 0.8740234375}, {"start": 46.05, "end": 46.23, "word": " اللي", "probability": 0.978271484375}, {"start": 46.23, "end": 46.33, "word": " هو", "probability": 0.98583984375}, {"start": 46.33, "end": 46.59, "word": " limit", "probability": 0.78271484375}, {"start": 46.59, "end": 46.79, "word": " الـ", "probability": 0.591064453125}, {"start": 46.79, "end": 47.03, "word": " AN", "probability": 0.47021484375}, {"start": 47.03, "end": 47.35, "word": " لما", "probability": 0.87158203125}, {"start": 47.35, "end": 47.53, "word": " N", "probability": 0.71044921875}, {"start": 47.53, "end": 47.73, "word": " تقول", "probability": 0.948974609375}, {"start": 47.73, "end": 47.93, "word": " إلى", "probability": 0.59765625}, {"start": 47.93, "end": 48.19, "word": " مانة", "probability": 0.5345052083333334}, {"start": 48.19, "end": 48.67, "word": " نهاية", "probability": 0.8722330729166666}, {"start": 48.67, "end": 49.25, "word": " إذا", "probability": 0.957275390625}, {"start": 49.25, "end": 49.45, "word": " كان", "probability": 0.97802734375}, {"start": 49.45, "end": 49.59, "word": " لأ", "probability": 0.51611328125}, {"start": 49.59, "end": 49.95, "word": " يساوي", "probability": 0.8701171875}, {"start": 49.95, "end": 50.23, "word": " سفر", "probability": 0.762939453125}, {"start": 50.23, "end": 50.51, "word": " فال", "probability": 0.938720703125}, {"start": 50.51, "end": 50.71, "word": " series", "probability": 0.12127685546875}, {"start": 50.71, "end": 52.23, "word": " diverge", "probability": 0.4945068359375}, {"start": 52.23, "end": 53.09, "word": " هذا", "probability": 0.61083984375}, {"start": 53.09, "end": 53.21, "word": " و", "probability": 0.6689453125}, {"start": 53.21, "end": 53.39, "word": " هذا", "probability": 0.9453125}, {"start": 53.39, "end": 53.81, "word": " يستخدم", "probability": 0.960205078125}, {"start": 53.81, "end": 54.13, "word": " فقط", "probability": 0.9921875}, {"start": 54.13, "end": 54.31, "word": " لل", "probability": 0.90966796875}, {"start": 54.31, "end": 54.73, "word": " divergence", "probability": 0.892578125}, {"start": 54.73, "end": 55.37, "word": " لكن", "probability": 0.404052734375}, {"start": 55.37, "end": 56.03, "word": " لا", "probability": 0.82666015625}, {"start": 56.03, "end": 56.47, "word": " يثبت", "probability": 0.983642578125}, {"start": 56.47, "end": 56.71, "word": " إنها", "probability": 0.743408203125}, {"start": 56.71, "end": 57.19, "word": " converge", "probability": 0.98046875}, {"start": 57.19, "end": 57.53, "word": " فقط", "probability": 0.968505859375}, {"start": 57.53, "end": 57.93, "word": " يثبت", "probability": 0.996826171875}, {"start": 57.93, "end": 58.31, "word": " إنها", "probability": 0.899658203125}], "temperature": 1.0}, {"id": 3, "seek": 7848, "start": 59.89, "end": 78.49, "text": "اليوم راح نكمل في ال testات تبعتنا و راح ناخد الـ integral test الـ integral test اللي راح ناخده اللي هو التالي اللي يعطينا ال test عن طريق هذه النظرية الـ integral test", "tokens": [6027, 1829, 20498, 12602, 39319, 8717, 24793, 1211, 8978, 2423, 1500, 9307, 6055, 3555, 34268, 8315, 4032, 12602, 39319, 8717, 47283, 3215, 2423, 39184, 11573, 1500, 2423, 39184, 11573, 1500, 13672, 1829, 12602, 39319, 8717, 47283, 3215, 3224, 13672, 1829, 31439, 16712, 6027, 1829, 13672, 1829, 37495, 9566, 1829, 8315, 2423, 1500, 18871, 23032, 16572, 4587, 29538, 28239, 19913, 2288, 10632, 2423, 39184, 11573, 1500], "avg_logprob": -0.3778409122517615, "compression_ratio": 1.8194444444444444, "no_speech_prob": 7.212162017822266e-06, "words": [{"start": 59.89, "end": 60.73, "word": "اليوم", "probability": 0.6090494791666666}, {"start": 60.73, "end": 60.97, "word": " راح", "probability": 0.50958251953125}, {"start": 60.97, "end": 61.49, "word": " نكمل", "probability": 0.9715169270833334}, {"start": 61.49, "end": 61.61, "word": " في", "probability": 0.7705078125}, {"start": 61.61, "end": 61.69, "word": " ال", "probability": 0.52880859375}, {"start": 61.69, "end": 62.03, "word": " testات", "probability": 0.346435546875}, {"start": 62.03, "end": 62.59, "word": " تبعتنا", "probability": 0.813720703125}, {"start": 62.59, "end": 63.29, "word": " و", "probability": 0.59765625}, {"start": 63.29, "end": 63.47, "word": " راح", "probability": 0.6300048828125}, {"start": 63.47, "end": 63.89, "word": " ناخد", "probability": 0.9752604166666666}, {"start": 63.89, "end": 64.33, "word": " الـ", "probability": 0.322967529296875}, {"start": 64.33, "end": 65.03, "word": " integral", "probability": 0.564453125}, {"start": 65.03, "end": 65.55, "word": " test", "probability": 0.884765625}, {"start": 65.55, "end": 66.03, "word": " الـ", "probability": 0.2601318359375}, {"start": 66.03, "end": 69.11, "word": " integral", "probability": 0.486083984375}, {"start": 69.11, "end": 69.53, "word": " test", "probability": 0.958984375}, {"start": 69.53, "end": 70.33, "word": " اللي", "probability": 0.7744140625}, {"start": 70.33, "end": 70.57, "word": " راح", "probability": 0.857666015625}, {"start": 70.57, "end": 71.21, "word": " ناخده", "probability": 0.9775390625}, {"start": 71.21, "end": 71.53, "word": " اللي", "probability": 0.6702880859375}, {"start": 71.53, "end": 71.93, "word": " هو", "probability": 0.71875}, {"start": 71.93, "end": 74.45, "word": " التالي", "probability": 0.9000651041666666}, {"start": 74.45, "end": 74.69, "word": " اللي", "probability": 0.829833984375}, {"start": 74.69, "end": 75.53, "word": " يعطينا", "probability": 0.856201171875}, {"start": 75.53, "end": 75.65, "word": " ال", "probability": 0.72119140625}, {"start": 75.65, "end": 75.81, "word": " test", "probability": 0.9580078125}, {"start": 75.81, "end": 76.17, "word": " عن", "probability": 0.24365234375}, {"start": 76.17, "end": 76.63, "word": " طريق", "probability": 0.9934895833333334}, {"start": 76.63, "end": 76.95, "word": " هذه", "probability": 0.77880859375}, {"start": 76.95, "end": 77.55, "word": " النظرية", "probability": 0.977294921875}, {"start": 77.55, "end": 77.73, "word": " الـ", "probability": 0.611572265625}, {"start": 77.73, "end": 78.03, "word": " integral", "probability": 0.54443359375}, {"start": 78.03, "end": 78.49, "word": " test", "probability": 0.9228515625}], "temperature": 1.0}, {"id": 4, "seek": 10474, "start": 79.12, "end": 104.74, "text": "لت الـ AN be a sequence of positive terms طبعا هذه التستات اللي راح ناخدها من هذا ال test و اللي بعده فقط يستخدموا لل series اللي هي ال term تبعتها positive يعني مافيش فيها سالب موجب سالب موجب سالب مافيش فيها ولا term سالب كل ال termات تبعتها موجبة يبقى ال terms اللي هي ال AN اللي جاي من ال sequence ال terms تبعت ال series بنا لازم تكون موجبة", "tokens": [1211, 2655, 2423, 39184, 5252, 312, 257, 8310, 295, 3353, 2115, 23032, 3555, 3615, 995, 29538, 16712, 14851, 9307, 13672, 1829, 12602, 39319, 8717, 47283, 3215, 11296, 9154, 23758, 2423, 1500, 4032, 13672, 1829, 39182, 3224, 6156, 47432, 7251, 14851, 9778, 40448, 14407, 24976, 2638, 13672, 1829, 39896, 2423, 1433, 6055, 3555, 34268, 11296, 3353, 37495, 22653, 19446, 41185, 8592, 8978, 11296, 8608, 6027, 3555, 3714, 29245, 3555, 8608, 6027, 3555, 3714, 29245, 3555, 8608, 6027, 3555, 19446, 41185, 8592, 8978, 11296, 49429, 1433, 8608, 6027, 3555, 28242, 2423, 1433, 9307, 6055, 3555, 34268, 11296, 3714, 29245, 49401, 7251, 3555, 4587, 7578, 2423, 2115, 13672, 1829, 39896, 2423, 5252, 13672, 1829, 10874, 47302, 9154, 2423, 8310, 2423, 2115, 6055, 3555, 34268, 2423, 2638, 4724, 8315, 5296, 31377, 2304, 6055, 30544, 3714, 29245, 49401], "avg_logprob": -0.21536847682141547, "compression_ratio": 2.0697674418604652, "no_speech_prob": 1.0132789611816406e-06, "words": [{"start": 79.12, "end": 79.68, "word": "لت", "probability": 0.453857421875}, {"start": 79.68, "end": 79.88, "word": " الـ", "probability": 0.53857421875}, {"start": 79.88, "end": 80.18, "word": " AN", "probability": 0.6962890625}, {"start": 80.18, "end": 80.36, "word": " be", "probability": 0.2318115234375}, {"start": 80.36, "end": 80.56, "word": " a", "probability": 0.8896484375}, {"start": 80.56, "end": 81.04, "word": " sequence", "probability": 0.95361328125}, {"start": 81.04, "end": 81.24, "word": " of", "probability": 0.91455078125}, {"start": 81.24, "end": 81.66, "word": " positive", "probability": 0.90576171875}, {"start": 81.66, "end": 82.22, "word": " terms", "probability": 0.87744140625}, {"start": 82.22, "end": 83.6, "word": " طبعا", "probability": 0.82061767578125}, {"start": 83.6, "end": 83.82, "word": " هذه", "probability": 0.6689453125}, {"start": 83.82, "end": 84.54, "word": " التستات", "probability": 0.5808919270833334}, {"start": 84.54, "end": 85.1, "word": " اللي", "probability": 0.775390625}, {"start": 85.1, "end": 85.26, "word": " راح", "probability": 0.652099609375}, {"start": 85.26, "end": 85.66, "word": " ناخدها", "probability": 0.937744140625}, {"start": 85.66, "end": 85.82, "word": " من", "probability": 0.955078125}, {"start": 85.82, "end": 86.04, "word": " هذا", "probability": 0.94287109375}, {"start": 86.04, "end": 86.16, "word": " ال", "probability": 0.81494140625}, {"start": 86.16, "end": 86.42, "word": " test", "probability": 0.654296875}, {"start": 86.42, "end": 86.9, "word": " و", "probability": 0.4677734375}, {"start": 86.9, "end": 87.08, "word": " اللي", "probability": 0.827880859375}, {"start": 87.08, "end": 87.58, "word": " بعده", "probability": 0.939453125}, {"start": 87.58, "end": 88.12, "word": " فقط", "probability": 0.963134765625}, {"start": 88.12, "end": 88.88, "word": " يستخدموا", "probability": 0.90751953125}, {"start": 88.88, "end": 89.26, "word": " لل", "probability": 0.8271484375}, {"start": 89.26, "end": 90.8, "word": " series", "probability": 0.40234375}, {"start": 90.8, "end": 91.06, "word": " اللي", "probability": 0.83056640625}, {"start": 91.06, "end": 91.32, "word": " هي", "probability": 0.87939453125}, {"start": 91.32, "end": 91.48, "word": " ال", "probability": 0.54638671875}, {"start": 91.48, "end": 91.7, "word": " term", "probability": 0.77001953125}, {"start": 91.7, "end": 92.1, "word": " تبعتها", "probability": 0.8900146484375}, {"start": 92.1, "end": 92.64, "word": " positive", "probability": 0.892578125}, {"start": 92.64, "end": 93.28, "word": " يعني", "probability": 0.89990234375}, {"start": 93.28, "end": 93.56, "word": " مافيش", "probability": 0.9147135416666666}, {"start": 93.56, "end": 93.76, "word": " فيها", "probability": 0.9873046875}, {"start": 93.76, "end": 94.1, "word": " سالب", "probability": 0.8902994791666666}, {"start": 94.1, "end": 94.4, "word": " موجب", "probability": 0.9033203125}, {"start": 94.4, "end": 94.72, "word": " سالب", "probability": 0.9461263020833334}, {"start": 94.72, "end": 95.06, "word": " موجب", "probability": 0.9656575520833334}, {"start": 95.06, "end": 95.34, "word": " سالب", "probability": 0.9729817708333334}, {"start": 95.34, "end": 95.54, "word": " مافيش", "probability": 0.8414713541666666}, {"start": 95.54, "end": 95.68, "word": " فيها", "probability": 0.977783203125}, {"start": 95.68, "end": 95.84, "word": " ولا", "probability": 0.822265625}, {"start": 95.84, "end": 96.2, "word": " term", "probability": 0.970703125}, {"start": 96.2, "end": 97.02, "word": " سالب", "probability": 0.9490559895833334}, {"start": 97.02, "end": 97.28, "word": " كل", "probability": 0.9296875}, {"start": 97.28, "end": 97.42, "word": " ال", "probability": 0.806640625}, {"start": 97.42, "end": 97.8, "word": " termات", "probability": 0.5535888671875}, {"start": 97.8, "end": 98.34, "word": " تبعتها", "probability": 0.9307861328125}, {"start": 98.34, "end": 99.02, "word": " موجبة", "probability": 0.97802734375}, {"start": 99.02, "end": 99.6, "word": " يبقى", "probability": 0.9378662109375}, {"start": 99.6, "end": 99.74, "word": " ال", "probability": 0.96533203125}, {"start": 99.74, "end": 100.14, "word": " terms", "probability": 0.8544921875}, {"start": 100.14, "end": 100.38, "word": " اللي", "probability": 0.967529296875}, {"start": 100.38, "end": 100.46, "word": " هي", "probability": 0.321533203125}, {"start": 100.46, "end": 100.56, "word": " ال", "probability": 0.86181640625}, {"start": 100.56, "end": 100.86, "word": " AN", "probability": 0.9111328125}, {"start": 100.86, "end": 101.04, "word": " اللي", "probability": 0.961181640625}, {"start": 101.04, "end": 101.26, "word": " جاي", "probability": 0.791015625}, {"start": 101.26, "end": 101.38, "word": " من", "probability": 0.984375}, {"start": 101.38, "end": 101.52, "word": " ال", "probability": 0.89794921875}, {"start": 101.52, "end": 101.86, "word": " sequence", "probability": 0.93603515625}, {"start": 101.86, "end": 102.04, "word": " ال", "probability": 0.4794921875}, {"start": 102.04, "end": 102.28, "word": " terms", "probability": 0.86865234375}, {"start": 102.28, "end": 102.66, "word": " تبعت", "probability": 0.84716796875}, {"start": 102.66, "end": 102.9, "word": " ال", "probability": 0.92236328125}, {"start": 102.9, "end": 103.62, "word": " series", "probability": 0.931640625}, {"start": 103.62, "end": 103.82, "word": " بنا", "probability": 0.31805419921875}, {"start": 103.82, "end": 104.08, "word": " لازم", "probability": 0.8600260416666666}, {"start": 104.08, "end": 104.32, "word": " تكون", "probability": 0.830810546875}, {"start": 104.32, "end": 104.74, "word": " موجبة", "probability": 0.9889322916666666}], "temperature": 1.0}, {"id": 5, "seek": 12461, "start": 105.89, "end": 124.61, "text": "لو بحطنا an بدلها اعتبرناها function f of n فالـ f of n هذه لازم ينطبق عليها تلت شروط عشان نستخدم هذا ال test الشرط الأول أن الـ f is continuous الـ f تبعتنا continuous على حدود ال series أو من نقطة أخرى", "tokens": [1211, 2407, 4724, 5016, 9566, 8315, 364, 47525, 1211, 11296, 1975, 34268, 26890, 8315, 11296, 2445, 283, 295, 297, 6156, 6027, 39184, 283, 295, 297, 29538, 5296, 31377, 2304, 7251, 1863, 9566, 3555, 4587, 25894, 11296, 6055, 1211, 2655, 13412, 32887, 9566, 6225, 8592, 7649, 8717, 14851, 9778, 40448, 23758, 2423, 1500, 25124, 2288, 9566, 16247, 12610, 14739, 2423, 39184, 283, 307, 10957, 2423, 39184, 283, 6055, 3555, 34268, 8315, 10957, 15844, 11331, 3215, 23328, 2423, 2638, 34051, 9154, 8717, 47432, 3660, 5551, 34740, 7578], "avg_logprob": -0.24146075338818307, "compression_ratio": 1.583756345177665, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 105.89, "end": 106.13, "word": "لو", "probability": 0.7335205078125}, {"start": 106.13, "end": 106.55, "word": " بحطنا", "probability": 0.66937255859375}, {"start": 106.55, "end": 106.87, "word": " an", "probability": 0.1575927734375}, {"start": 106.87, "end": 107.35, "word": " بدلها", "probability": 0.8138020833333334}, {"start": 107.35, "end": 107.97, "word": " اعتبرناها", "probability": 0.84951171875}, {"start": 107.97, "end": 108.31, "word": " function", "probability": 0.85107421875}, {"start": 108.31, "end": 108.63, "word": " f", "probability": 0.67822265625}, {"start": 108.63, "end": 108.87, "word": " of", "probability": 0.5634765625}, {"start": 108.87, "end": 109.19, "word": " n", "probability": 0.89501953125}, {"start": 109.19, "end": 110.05, "word": " فالـ", "probability": 0.4744466145833333}, {"start": 110.05, "end": 110.15, "word": " f", "probability": 0.56005859375}, {"start": 110.15, "end": 110.31, "word": " of", "probability": 0.85595703125}, {"start": 110.31, "end": 110.51, "word": " n", "probability": 0.94091796875}, {"start": 110.51, "end": 110.73, "word": " هذه", "probability": 0.26416015625}, {"start": 110.73, "end": 111.01, "word": " لازم", "probability": 0.9366861979166666}, {"start": 111.01, "end": 111.41, "word": " ينطبق", "probability": 0.95244140625}, {"start": 111.41, "end": 111.69, "word": " عليها", "probability": 0.991455078125}, {"start": 111.69, "end": 112.03, "word": " تلت", "probability": 0.8994140625}, {"start": 112.03, "end": 112.55, "word": " شروط", "probability": 0.9396158854166666}, {"start": 112.55, "end": 112.89, "word": " عشان", "probability": 0.9365234375}, {"start": 112.89, "end": 113.89, "word": " نستخدم", "probability": 0.9639892578125}, {"start": 113.89, "end": 114.35, "word": " هذا", "probability": 0.84130859375}, {"start": 114.35, "end": 114.61, "word": " ال", "probability": 0.6796875}, {"start": 114.61, "end": 114.87, "word": " test", "probability": 0.66064453125}, {"start": 114.87, "end": 115.65, "word": " الشرط", "probability": 0.9215494791666666}, {"start": 115.65, "end": 116.07, "word": " الأول", "probability": 0.9560546875}, {"start": 116.07, "end": 116.31, "word": " أن", "probability": 0.50537109375}, {"start": 116.31, "end": 116.51, "word": " الـ", "probability": 0.5447998046875}, {"start": 116.51, "end": 116.65, "word": " f", "probability": 0.54638671875}, {"start": 116.65, "end": 116.85, "word": " is", "probability": 0.5537109375}, {"start": 116.85, "end": 117.57, "word": " continuous", "probability": 0.94677734375}, {"start": 117.57, "end": 118.15, "word": " الـ", "probability": 0.532958984375}, {"start": 118.15, "end": 118.23, "word": " f", "probability": 0.79443359375}, {"start": 118.23, "end": 118.61, "word": " تبعتنا", "probability": 0.8837890625}, {"start": 118.61, "end": 119.19, "word": " continuous", "probability": 0.95703125}, {"start": 119.19, "end": 120.17, "word": " على", "probability": 0.8310546875}, {"start": 120.17, "end": 120.63, "word": " حدود", "probability": 0.9850260416666666}, {"start": 120.63, "end": 120.87, "word": " ال", "probability": 0.9248046875}, {"start": 120.87, "end": 121.35, "word": " series", "probability": 0.84130859375}, {"start": 121.35, "end": 123.13, "word": " أو", "probability": 0.91650390625}, {"start": 123.13, "end": 123.79, "word": " من", "probability": 0.8994140625}, {"start": 123.79, "end": 124.23, "word": " نقطة", "probability": 0.9918619791666666}, {"start": 124.23, "end": 124.61, "word": " أخرى", "probability": 0.9820963541666666}], "temperature": 1.0}, {"id": 6, "seek": 14800, "start": 124.74, "end": 148.0, "text": "و positive طبعا احنا بالاول قلنا لازم يكونوا هذه اصلا ال a ان هدولة positive فشرط ضروري جدا ان ال terms برضه تكون positive الشرط التالت انها تكون ال f of n decreasing ال f of n تبعته decreasing ايش يعني decreasing يعني f prime أقل من الصفر لو أثبتنا f prime أقل من الصفر يعني ال f تبعتنا decreasing هاي التلات شروط لغم يتوفروا", "tokens": [2407, 3353, 23032, 3555, 3615, 995, 1975, 5016, 8315, 20666, 995, 12610, 12174, 1211, 8315, 5296, 31377, 2304, 7251, 30544, 14407, 29538, 1975, 9381, 15040, 2423, 257, 16472, 8032, 3215, 12610, 3660, 3353, 6156, 8592, 2288, 9566, 48812, 2288, 13063, 1829, 10874, 28259, 16472, 2423, 2115, 4724, 43042, 3224, 6055, 30544, 3353, 25124, 2288, 9566, 16712, 6027, 2655, 16472, 11296, 6055, 30544, 2423, 283, 295, 297, 23223, 2423, 283, 295, 297, 6055, 3555, 34268, 3224, 23223, 1975, 1829, 8592, 37495, 22653, 23223, 37495, 22653, 283, 5835, 5551, 4587, 1211, 9154, 31767, 5172, 2288, 45164, 5551, 12984, 3555, 2655, 8315, 283, 5835, 5551, 4587, 1211, 9154, 31767, 5172, 2288, 37495, 22653, 2423, 283, 6055, 3555, 34268, 8315, 23223, 8032, 47302, 16712, 1211, 9307, 13412, 32887, 9566, 5296, 17082, 2304, 7251, 2655, 38688, 2288, 14407], "avg_logprob": -0.21478544186745116, "compression_ratio": 1.9800796812749004, "no_speech_prob": 5.185604095458984e-06, "words": [{"start": 124.74, "end": 125.2, "word": "و", "probability": 0.267822265625}, {"start": 125.2, "end": 125.6, "word": " positive", "probability": 0.4404296875}, {"start": 125.6, "end": 126.06, "word": " طبعا", "probability": 0.8690185546875}, {"start": 126.06, "end": 126.26, "word": " احنا", "probability": 0.797119140625}, {"start": 126.26, "end": 126.64, "word": " بالاول", "probability": 0.7936197916666666}, {"start": 126.64, "end": 126.94, "word": " قلنا", "probability": 0.89013671875}, {"start": 126.94, "end": 127.24, "word": " لازم", "probability": 0.9095052083333334}, {"start": 127.24, "end": 127.56, "word": " يكونوا", "probability": 0.87890625}, {"start": 127.56, "end": 127.74, "word": " هذه", "probability": 0.32666015625}, {"start": 127.74, "end": 128.1, "word": " اصلا", "probability": 0.8831380208333334}, {"start": 128.1, "end": 128.26, "word": " ال", "probability": 0.640625}, {"start": 128.26, "end": 128.38, "word": " a", "probability": 0.197998046875}, {"start": 128.38, "end": 128.52, "word": " ان", "probability": 0.70068359375}, {"start": 128.52, "end": 128.82, "word": " هدولة", "probability": 0.6773681640625}, {"start": 128.82, "end": 129.24, "word": " positive", "probability": 0.80615234375}, {"start": 129.24, "end": 129.92, "word": " فشرط", "probability": 0.8017578125}, {"start": 129.92, "end": 130.8, "word": " ضروري", "probability": 0.9193115234375}, {"start": 130.8, "end": 131.06, "word": " جدا", "probability": 0.9951171875}, {"start": 131.06, "end": 131.3, "word": " ان", "probability": 0.84033203125}, {"start": 131.3, "end": 131.48, "word": " ال", "probability": 0.755859375}, {"start": 131.48, "end": 131.82, "word": " terms", "probability": 0.91015625}, {"start": 131.82, "end": 132.48, "word": " برضه", "probability": 0.9523111979166666}, {"start": 132.48, "end": 132.72, "word": " تكون", "probability": 0.98291015625}, {"start": 132.72, "end": 133.12, "word": " positive", "probability": 0.8505859375}, {"start": 133.12, "end": 133.84, "word": " الشرط", "probability": 0.9537760416666666}, {"start": 133.84, "end": 134.3, "word": " التالت", "probability": 0.9212239583333334}, {"start": 134.3, "end": 134.56, "word": " انها", "probability": 0.81982421875}, {"start": 134.56, "end": 134.84, "word": " تكون", "probability": 0.98486328125}, {"start": 134.84, "end": 135.0, "word": " ال", "probability": 0.83154296875}, {"start": 135.0, "end": 135.18, "word": " f", "probability": 0.54296875}, {"start": 135.18, "end": 135.4, "word": " of", "probability": 0.80712890625}, {"start": 135.4, "end": 135.7, "word": " n", "probability": 0.9169921875}, {"start": 135.7, "end": 136.46, "word": " decreasing", "probability": 0.96484375}, {"start": 136.46, "end": 137.22, "word": " ال", "probability": 0.67138671875}, {"start": 137.22, "end": 137.4, "word": " f", "probability": 0.6806640625}, {"start": 137.4, "end": 137.56, "word": " of", "probability": 0.94921875}, {"start": 137.56, "end": 137.68, "word": " n", "probability": 0.95654296875}, {"start": 137.68, "end": 138.06, "word": " تبعته", "probability": 0.705810546875}, {"start": 138.06, "end": 138.62, "word": " decreasing", "probability": 0.93115234375}, {"start": 138.62, "end": 139.02, "word": " ايش", "probability": 0.6873372395833334}, {"start": 139.02, "end": 139.16, "word": " يعني", "probability": 0.890380859375}, {"start": 139.16, "end": 139.64, "word": " decreasing", "probability": 0.9462890625}, {"start": 139.64, "end": 140.0, "word": " يعني", "probability": 0.78662109375}, {"start": 140.0, "end": 140.22, "word": " f", "probability": 0.75146484375}, {"start": 140.22, "end": 140.76, "word": " prime", "probability": 0.6796875}, {"start": 140.76, "end": 141.36, "word": " أقل", "probability": 0.80615234375}, {"start": 141.36, "end": 141.56, "word": " من", "probability": 0.99658203125}, {"start": 141.56, "end": 142.26, "word": " الصفر", "probability": 0.7747395833333334}, {"start": 142.26, "end": 142.46, "word": " لو", "probability": 0.8203125}, {"start": 142.46, "end": 142.92, "word": " أثبتنا", "probability": 0.93671875}, {"start": 142.92, "end": 143.1, "word": " f", "probability": 0.8603515625}, {"start": 143.1, "end": 143.38, "word": " prime", "probability": 0.33837890625}, {"start": 143.38, "end": 143.82, "word": " أقل", "probability": 0.9588216145833334}, {"start": 143.82, "end": 144.0, "word": " من", "probability": 0.99560546875}, {"start": 144.0, "end": 144.38, "word": " الصفر", "probability": 0.9659830729166666}, {"start": 144.38, "end": 144.64, "word": " يعني", "probability": 0.95751953125}, {"start": 144.64, "end": 144.78, "word": " ال", "probability": 0.8837890625}, {"start": 144.78, "end": 144.9, "word": " f", "probability": 0.78271484375}, {"start": 144.9, "end": 145.38, "word": " تبعتنا", "probability": 0.947021484375}, {"start": 145.38, "end": 146.12, "word": " decreasing", "probability": 0.982421875}, {"start": 146.12, "end": 146.36, "word": " هاي", "probability": 0.5172119140625}, {"start": 146.36, "end": 146.66, "word": " التلات", "probability": 0.78662109375}, {"start": 146.66, "end": 146.96, "word": " شروط", "probability": 0.9205729166666666}, {"start": 146.96, "end": 147.26, "word": " لغم", "probability": 0.90234375}, {"start": 147.26, "end": 148.0, "word": " يتوفروا", "probability": 0.9486328125}], "temperature": 1.0}, {"id": 7, "seek": 16312, "start": 148.08, "end": 163.12, "text": "قبل ما انا اعمل ال test اذا كان توفر تلت شروط كلها بقدر ان استخدم ال test كيف بدنا نستخدم ال test بدي احول ال a n تبعتي الى f of x", "tokens": [4587, 36150, 19446, 1975, 8315, 1975, 25957, 1211, 2423, 1500, 1975, 15730, 25961, 33427, 5172, 2288, 6055, 1211, 2655, 13412, 32887, 9566, 28242, 11296, 4724, 28543, 2288, 16472, 1975, 14851, 9778, 40448, 2423, 1500, 9122, 33911, 47525, 8315, 8717, 14851, 9778, 40448, 2423, 1500, 4724, 16254, 1975, 5016, 12610, 2423, 257, 297, 6055, 3555, 3615, 31371, 2423, 7578, 283, 295, 2031], "avg_logprob": -0.3684475739156046, "compression_ratio": 1.5289855072463767, "no_speech_prob": 1.2516975402832031e-06, "words": [{"start": 148.08, "end": 148.5, "word": "قبل", "probability": 0.6226806640625}, {"start": 148.5, "end": 148.64, "word": " ما", "probability": 0.2958984375}, {"start": 148.64, "end": 148.88, "word": " انا", "probability": 0.47509765625}, {"start": 148.88, "end": 149.36, "word": " اعمل", "probability": 0.9508463541666666}, {"start": 149.36, "end": 149.48, "word": " ال", "probability": 0.8994140625}, {"start": 149.48, "end": 150.32, "word": " test", "probability": 0.58154296875}, {"start": 150.32, "end": 151.28, "word": " اذا", "probability": 0.560546875}, {"start": 151.28, "end": 151.52, "word": " كان", "probability": 0.923828125}, {"start": 151.52, "end": 151.94, "word": " توفر", "probability": 0.7691243489583334}, {"start": 151.94, "end": 152.28, "word": " تلت", "probability": 0.6455078125}, {"start": 152.28, "end": 152.66, "word": " شروط", "probability": 0.92919921875}, {"start": 152.66, "end": 153.2, "word": " كلها", "probability": 0.688232421875}, {"start": 153.2, "end": 154.06, "word": " بقدر", "probability": 0.9080403645833334}, {"start": 154.06, "end": 154.22, "word": " ان", "probability": 0.708984375}, {"start": 154.22, "end": 154.8, "word": " استخدم", "probability": 0.7520751953125}, {"start": 154.8, "end": 154.98, "word": " ال", "probability": 0.79248046875}, {"start": 154.98, "end": 156.3, "word": " test", "probability": 0.93798828125}, {"start": 156.3, "end": 156.52, "word": " كيف", "probability": 0.913818359375}, {"start": 156.52, "end": 156.64, "word": " بدنا", "probability": 0.620849609375}, {"start": 156.64, "end": 157.08, "word": " نستخدم", "probability": 0.9471435546875}, {"start": 157.08, "end": 157.2, "word": " ال", "probability": 0.91796875}, {"start": 157.2, "end": 157.96, "word": " test", "probability": 0.9580078125}, {"start": 157.96, "end": 158.56, "word": " بدي", "probability": 0.5992431640625}, {"start": 158.56, "end": 159.12, "word": " احول", "probability": 0.8631184895833334}, {"start": 159.12, "end": 159.66, "word": " ال", "probability": 0.8662109375}, {"start": 159.66, "end": 159.86, "word": " a", "probability": 0.31201171875}, {"start": 159.86, "end": 160.14, "word": " n", "probability": 0.05938720703125}, {"start": 160.14, "end": 160.72, "word": " تبعتي", "probability": 0.8829345703125}, {"start": 160.72, "end": 161.64, "word": " الى", "probability": 0.77001953125}, {"start": 161.64, "end": 162.58, "word": " f", "probability": 0.61376953125}, {"start": 162.58, "end": 162.78, "word": " of", "probability": 0.68212890625}, {"start": 162.78, "end": 163.12, "word": " x", "probability": 0.8662109375}], "temperature": 1.0}, {"id": 8, "seek": 18325, "start": 164.87, "end": 183.25, "text": "الأن إذا كانت تلت شروط ينطبقوا من in من رقم معين in مش ضروري يكون من بداية ال series ممكن يكون من بعد الواحد أو الاثنين أو كده، من أي رقم إلى ما لنهاية، الأن هذه ال series ال AIN تتحقق فيها الشروط التلاتة من in إلى ما لنهاية", "tokens": [6027, 33456, 11933, 15730, 25961, 2655, 6055, 1211, 2655, 13412, 32887, 9566, 7251, 1863, 9566, 3555, 4587, 14407, 9154, 294, 9154, 12602, 4587, 2304, 20449, 9957, 294, 37893, 48812, 2288, 13063, 1829, 7251, 30544, 9154, 4724, 28259, 10632, 2423, 2638, 3714, 43020, 7251, 30544, 9154, 39182, 2423, 14407, 24401, 34051, 2423, 5718, 104, 1863, 9957, 34051, 9122, 3215, 3224, 12399, 9154, 36632, 12602, 4587, 2304, 30731, 19446, 5296, 1863, 3224, 995, 10632, 12399, 16247, 1863, 29538, 2423, 2638, 2423, 316, 1464, 6055, 2655, 5016, 4587, 4587, 8978, 11296, 25124, 32887, 9566, 16712, 1211, 9307, 3660, 9154, 294, 30731, 19446, 5296, 1863, 3224, 995, 10632], "avg_logprob": -0.21443452267419724, "compression_ratio": 1.8398058252427185, "no_speech_prob": 2.9802322387695312e-06, "words": [{"start": 164.87, "end": 165.29, "word": "الأن", "probability": 0.543212890625}, {"start": 165.29, "end": 165.53, "word": " إذا", "probability": 0.864013671875}, {"start": 165.53, "end": 165.81, "word": " كانت", "probability": 0.94384765625}, {"start": 165.81, "end": 166.03, "word": " تلت", "probability": 0.76123046875}, {"start": 166.03, "end": 166.35, "word": " شروط", "probability": 0.8782552083333334}, {"start": 166.35, "end": 167.13, "word": " ينطبقوا", "probability": 0.9471842447916666}, {"start": 167.13, "end": 167.53, "word": " من", "probability": 0.97265625}, {"start": 167.53, "end": 167.87, "word": " in", "probability": 0.1185302734375}, {"start": 167.87, "end": 168.27, "word": " من", "probability": 0.74853515625}, {"start": 168.27, "end": 169.11, "word": " رقم", "probability": 0.9148763020833334}, {"start": 169.11, "end": 169.53, "word": " معين", "probability": 0.95556640625}, {"start": 169.53, "end": 169.75, "word": " in", "probability": 0.360595703125}, {"start": 169.75, "end": 169.95, "word": " مش", "probability": 0.71923828125}, {"start": 169.95, "end": 170.29, "word": " ضروري", "probability": 0.9307861328125}, {"start": 170.29, "end": 170.57, "word": " يكون", "probability": 0.978759765625}, {"start": 170.57, "end": 170.81, "word": " من", "probability": 0.982421875}, {"start": 170.81, "end": 171.25, "word": " بداية", "probability": 0.9703776041666666}, {"start": 171.25, "end": 171.41, "word": " ال", "probability": 0.97509765625}, {"start": 171.41, "end": 171.65, "word": " series", "probability": 0.8447265625}, {"start": 171.65, "end": 172.01, "word": " ممكن", "probability": 0.896728515625}, {"start": 172.01, "end": 172.31, "word": " يكون", "probability": 0.988037109375}, {"start": 172.31, "end": 172.89, "word": " من", "probability": 0.9853515625}, {"start": 172.89, "end": 173.27, "word": " بعد", "probability": 0.94775390625}, {"start": 173.27, "end": 173.91, "word": " الواحد", "probability": 0.8837890625}, {"start": 173.91, "end": 174.09, "word": " أو", "probability": 0.86328125}, {"start": 174.09, "end": 174.61, "word": " الاثنين", "probability": 0.807373046875}, {"start": 174.61, "end": 174.75, "word": " أو", "probability": 0.83203125}, {"start": 174.75, "end": 175.75, "word": " كده،", "probability": 0.7115478515625}, {"start": 175.75, "end": 175.85, "word": " من", "probability": 0.98779296875}, {"start": 175.85, "end": 176.55, "word": " أي", "probability": 0.7431640625}, {"start": 176.55, "end": 176.97, "word": " رقم", "probability": 0.9959309895833334}, {"start": 176.97, "end": 177.23, "word": " إلى", "probability": 0.93505859375}, {"start": 177.23, "end": 177.47, "word": " ما", "probability": 0.25634765625}, {"start": 177.47, "end": 178.11, "word": " لنهاية،", "probability": 0.8250325520833334}, {"start": 178.11, "end": 178.41, "word": " الأن", "probability": 0.62042236328125}, {"start": 178.41, "end": 178.71, "word": " هذه", "probability": 0.9033203125}, {"start": 178.71, "end": 178.95, "word": " ال", "probability": 0.990234375}, {"start": 178.95, "end": 179.29, "word": " series", "probability": 0.9248046875}, {"start": 179.29, "end": 179.81, "word": " ال", "probability": 0.84814453125}, {"start": 179.81, "end": 180.19, "word": " AIN", "probability": 0.234619140625}, {"start": 180.19, "end": 180.81, "word": " تتحقق", "probability": 0.89775390625}, {"start": 180.81, "end": 181.01, "word": " فيها", "probability": 0.986328125}, {"start": 181.01, "end": 181.39, "word": " الشروط", "probability": 0.9661458333333334}, {"start": 181.39, "end": 181.91, "word": " التلاتة", "probability": 0.89892578125}, {"start": 181.91, "end": 182.09, "word": " من", "probability": 0.9501953125}, {"start": 182.09, "end": 182.31, "word": " in", "probability": 0.91015625}, {"start": 182.31, "end": 182.55, "word": " إلى", "probability": 0.96728515625}, {"start": 182.55, "end": 182.71, "word": " ما", "probability": 0.95654296875}, {"start": 182.71, "end": 183.25, "word": " لنهاية", "probability": 0.89169921875}], "temperature": 1.0}, {"id": 9, "seek": 20707, "start": 183.55, "end": 207.07, "text": "باروح بجيب بحوّل ال a n اللي هي حطتها f of n بحوّلها إلى f of x و باروح بقى كامل من n إلى ما لنهاية ل f of x dx إذا كان التكامل هذا تطلع معايا converge بكون ال series بعت converge إذا كان طلع تكامل diverge بتكون ال series diverge يبقى ال series و التكامل إما both converge أو both diverge", "tokens": [3555, 9640, 2407, 5016, 4724, 7435, 1829, 3555, 4724, 5016, 2407, 11703, 1211, 2423, 257, 297, 13672, 1829, 39896, 11331, 9566, 2655, 11296, 283, 295, 297, 4724, 5016, 2407, 11703, 1211, 11296, 30731, 283, 295, 2031, 4032, 4724, 9640, 2407, 5016, 4724, 4587, 7578, 9122, 10943, 1211, 9154, 297, 30731, 19446, 5296, 1863, 3224, 995, 10632, 5296, 283, 295, 2031, 30017, 11933, 15730, 25961, 16712, 4117, 10943, 1211, 23758, 6055, 9566, 1211, 3615, 20449, 995, 25528, 41881, 4724, 30544, 2423, 2638, 4724, 34268, 41881, 11933, 15730, 25961, 23032, 1211, 3615, 6055, 4117, 10943, 1211, 18558, 432, 39894, 30544, 2423, 2638, 18558, 432, 7251, 3555, 4587, 7578, 2423, 2638, 4032, 16712, 4117, 10943, 1211, 11933, 15042, 1293, 41881, 34051, 1293, 18558, 432], "avg_logprob": -0.24526127440030457, "compression_ratio": 2.009433962264151, "no_speech_prob": 0.0, "words": [{"start": 183.55, "end": 183.97, "word": "باروح", "probability": 0.51690673828125}, {"start": 183.97, "end": 184.45, "word": " بجيب", "probability": 0.82513427734375}, {"start": 184.45, "end": 184.95, "word": " بحوّل", "probability": 0.727197265625}, {"start": 184.95, "end": 185.09, "word": " ال", "probability": 0.70166015625}, {"start": 185.09, "end": 185.29, "word": " a", "probability": 0.146240234375}, {"start": 185.29, "end": 185.61, "word": " n", "probability": 0.280517578125}, {"start": 185.61, "end": 186.23, "word": " اللي", "probability": 0.617919921875}, {"start": 186.23, "end": 186.41, "word": " هي", "probability": 0.4296875}, {"start": 186.41, "end": 186.85, "word": " حطتها", "probability": 0.74310302734375}, {"start": 186.85, "end": 187.05, "word": " f", "probability": 0.77587890625}, {"start": 187.05, "end": 187.25, "word": " of", "probability": 0.8056640625}, {"start": 187.25, "end": 187.43, "word": " n", "probability": 0.9375}, {"start": 187.43, "end": 187.95, "word": " بحوّلها", "probability": 0.9313151041666666}, {"start": 187.95, "end": 188.13, "word": " إلى", "probability": 0.52978515625}, {"start": 188.13, "end": 188.33, "word": " f", "probability": 0.92822265625}, {"start": 188.33, "end": 188.57, "word": " of", "probability": 0.970703125}, {"start": 188.57, "end": 188.85, "word": " x", "probability": 0.931640625}, {"start": 188.85, "end": 189.49, "word": " و", "probability": 0.58642578125}, {"start": 189.49, "end": 189.77, "word": " باروح", "probability": 0.90380859375}, {"start": 189.77, "end": 189.99, "word": " بقى", "probability": 0.9523111979166666}, {"start": 189.99, "end": 190.37, "word": " كامل", "probability": 0.9949544270833334}, {"start": 190.37, "end": 190.59, "word": " من", "probability": 0.98828125}, {"start": 190.59, "end": 190.83, "word": " n", "probability": 0.7119140625}, {"start": 190.83, "end": 191.07, "word": " إلى", "probability": 0.92333984375}, {"start": 191.07, "end": 191.27, "word": " ما", "probability": 0.5947265625}, {"start": 191.27, "end": 191.75, "word": " لنهاية", "probability": 0.727490234375}, {"start": 191.75, "end": 191.85, "word": " ل", "probability": 0.8525390625}, {"start": 191.85, "end": 192.05, "word": " f", "probability": 0.544921875}, {"start": 192.05, "end": 192.25, "word": " of", "probability": 0.9658203125}, {"start": 192.25, "end": 192.49, "word": " x", "probability": 0.96728515625}, {"start": 192.49, "end": 192.95, "word": " dx", "probability": 0.87353515625}, {"start": 192.95, "end": 193.61, "word": " إذا", "probability": 0.925048828125}, {"start": 193.61, "end": 193.81, "word": " كان", "probability": 0.9951171875}, {"start": 193.81, "end": 194.35, "word": " التكامل", "probability": 0.981201171875}, {"start": 194.35, "end": 194.59, "word": " هذا", "probability": 0.77392578125}, {"start": 194.59, "end": 194.97, "word": " تطلع", "probability": 0.81201171875}, {"start": 194.97, "end": 195.39, "word": " معايا", "probability": 0.95654296875}, {"start": 195.39, "end": 196.03, "word": " converge", "probability": 0.97998046875}, {"start": 196.03, "end": 196.85, "word": " بكون", "probability": 0.64208984375}, {"start": 196.85, "end": 197.09, "word": " ال", "probability": 0.951171875}, {"start": 197.09, "end": 197.33, "word": " series", "probability": 0.923828125}, {"start": 197.33, "end": 197.71, "word": " بعت", "probability": 0.525634765625}, {"start": 197.71, "end": 198.25, "word": " converge", "probability": 0.254638671875}, {"start": 198.25, "end": 198.73, "word": " إذا", "probability": 0.927978515625}, {"start": 198.73, "end": 198.95, "word": " كان", "probability": 0.96435546875}, {"start": 198.95, "end": 199.33, "word": " طلع", "probability": 0.7513834635416666}, {"start": 199.33, "end": 199.87, "word": " تكامل", "probability": 0.94775390625}, {"start": 199.87, "end": 200.39, "word": " diverge", "probability": 0.796142578125}, {"start": 200.39, "end": 200.73, "word": " بتكون", "probability": 0.77587890625}, {"start": 200.73, "end": 200.87, "word": " ال", "probability": 0.9716796875}, {"start": 200.87, "end": 201.21, "word": " series", "probability": 0.9599609375}, {"start": 201.21, "end": 202.29, "word": " diverge", "probability": 0.784912109375}, {"start": 202.29, "end": 202.55, "word": " يبقى", "probability": 0.958740234375}, {"start": 202.55, "end": 202.73, "word": " ال", "probability": 0.97314453125}, {"start": 202.73, "end": 203.13, "word": " series", "probability": 0.96875}, {"start": 203.13, "end": 203.51, "word": " و", "probability": 0.87548828125}, {"start": 203.51, "end": 204.53, "word": " التكامل", "probability": 0.9835205078125}, {"start": 204.53, "end": 204.83, "word": " إما", "probability": 0.8115234375}, {"start": 204.83, "end": 205.19, "word": " both", "probability": 0.88671875}, {"start": 205.19, "end": 205.83, "word": " converge", "probability": 0.9736328125}, {"start": 205.83, "end": 206.09, "word": " أو", "probability": 0.418701171875}, {"start": 206.09, "end": 206.41, "word": " both", "probability": 0.88232421875}, {"start": 206.41, "end": 207.07, "word": " diverge", "probability": 0.90869140625}], "temperature": 1.0}, {"id": 10, "seek": 23246, "start": 207.1, "end": 232.46, "text": "هذا يعتمد على التكامل تكامل converge بتكون ال series converge التكامل diverge بتكون ال series diverge طبعا قبل كل هذا الكلام بنتطلع على ال series تبعتنا ال AN لما نحوّلها ل F of X هل هي تكاملها سهل؟ يعني إذا كانت تكاملها صعب و لسه بدأ أعمل ال substitution مثلا وهذه الطريقة طويلة", "tokens": [3224, 15730, 7251, 34268, 2304, 3215, 15844, 16712, 4117, 10943, 1211, 6055, 4117, 10943, 1211, 41881, 39894, 30544, 2423, 2638, 41881, 16712, 4117, 10943, 1211, 18558, 432, 39894, 30544, 2423, 2638, 18558, 432, 23032, 3555, 3615, 995, 12174, 36150, 28242, 23758, 2423, 28820, 10943, 4724, 29399, 9566, 1211, 3615, 15844, 2423, 2638, 6055, 3555, 34268, 8315, 2423, 5252, 5296, 15042, 8717, 5016, 2407, 11703, 1211, 11296, 5296, 479, 295, 1783, 8032, 1211, 39896, 6055, 4117, 10943, 1211, 11296, 8608, 3224, 1211, 22807, 37495, 22653, 11933, 15730, 25961, 2655, 6055, 4117, 10943, 1211, 11296, 20328, 3615, 3555, 4032, 5296, 3794, 3224, 47525, 10721, 5551, 25957, 1211, 2423, 35827, 50113, 15040, 37037, 24192, 41950, 16572, 28671, 23032, 2407, 26895, 3660], "avg_logprob": -0.2429096641159859, "compression_ratio": 1.872340425531915, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 207.1, "end": 207.52, "word": "هذا", "probability": 0.90283203125}, {"start": 207.52, "end": 208.02, "word": " يعتمد", "probability": 0.97216796875}, {"start": 208.02, "end": 208.32, "word": " على", "probability": 0.9013671875}, {"start": 208.32, "end": 209.06, "word": " التكامل", "probability": 0.968017578125}, {"start": 209.06, "end": 209.72, "word": " تكامل", "probability": 0.800537109375}, {"start": 209.72, "end": 210.12, "word": " converge", "probability": 0.375244140625}, {"start": 210.12, "end": 210.46, "word": " بتكون", "probability": 0.5736083984375}, {"start": 210.46, "end": 210.56, "word": " ال", "probability": 0.8154296875}, {"start": 210.56, "end": 210.76, "word": " series", "probability": 0.64990234375}, {"start": 210.76, "end": 211.26, "word": " converge", "probability": 0.94677734375}, {"start": 211.26, "end": 212.1, "word": " التكامل", "probability": 0.8193359375}, {"start": 212.1, "end": 212.52, "word": " diverge", "probability": 0.6656494140625}, {"start": 212.52, "end": 212.94, "word": " بتكون", "probability": 0.888427734375}, {"start": 212.94, "end": 213.2, "word": " ال", "probability": 0.95361328125}, {"start": 213.2, "end": 214.5, "word": " series", "probability": 0.91357421875}, {"start": 214.5, "end": 215.88, "word": " diverge", "probability": 0.6474609375}, {"start": 215.88, "end": 216.28, "word": " طبعا", "probability": 0.8359375}, {"start": 216.28, "end": 216.62, "word": " قبل", "probability": 0.874755859375}, {"start": 216.62, "end": 217.66, "word": " كل", "probability": 0.94677734375}, {"start": 217.66, "end": 217.92, "word": " هذا", "probability": 0.75}, {"start": 217.92, "end": 218.48, "word": " الكلام", "probability": 0.9090169270833334}, {"start": 218.48, "end": 219.54, "word": " بنتطلع", "probability": 0.73193359375}, {"start": 219.54, "end": 219.98, "word": " على", "probability": 0.8818359375}, {"start": 219.98, "end": 220.48, "word": " ال", "probability": 0.9482421875}, {"start": 220.48, "end": 220.82, "word": " series", "probability": 0.86962890625}, {"start": 220.82, "end": 221.38, "word": " تبعتنا", "probability": 0.79595947265625}, {"start": 221.38, "end": 221.76, "word": " ال", "probability": 0.7197265625}, {"start": 221.76, "end": 222.08, "word": " AN", "probability": 0.235595703125}, {"start": 222.08, "end": 222.38, "word": " لما", "probability": 0.8984375}, {"start": 222.38, "end": 222.86, "word": " نحوّلها", "probability": 0.82177734375}, {"start": 222.86, "end": 223.0, "word": " ل", "probability": 0.66259765625}, {"start": 223.0, "end": 223.16, "word": " F", "probability": 0.468017578125}, {"start": 223.16, "end": 223.36, "word": " of", "probability": 0.314208984375}, {"start": 223.36, "end": 223.62, "word": " X", "probability": 0.98486328125}, {"start": 223.62, "end": 224.22, "word": " هل", "probability": 0.93505859375}, {"start": 224.22, "end": 224.4, "word": " هي", "probability": 0.87890625}, {"start": 224.4, "end": 225.0, "word": " تكاملها", "probability": 0.97080078125}, {"start": 225.0, "end": 225.76, "word": " سهل؟", "probability": 0.9051513671875}, {"start": 225.76, "end": 225.94, "word": " يعني", "probability": 0.926025390625}, {"start": 225.94, "end": 226.08, "word": " إذا", "probability": 0.764404296875}, {"start": 226.08, "end": 226.28, "word": " كانت", "probability": 0.906982421875}, {"start": 226.28, "end": 226.7, "word": " تكاملها", "probability": 0.97001953125}, {"start": 226.7, "end": 227.1, "word": " صعب", "probability": 0.95556640625}, {"start": 227.1, "end": 227.24, "word": " و", "probability": 0.7080078125}, {"start": 227.24, "end": 227.46, "word": " لسه", "probability": 0.8268229166666666}, {"start": 227.46, "end": 227.72, "word": " بدأ", "probability": 0.53466796875}, {"start": 227.72, "end": 228.08, "word": " أعمل", "probability": 0.8673502604166666}, {"start": 228.08, "end": 228.44, "word": " ال", "probability": 0.2301025390625}, {"start": 228.44, "end": 230.22, "word": " substitution", "probability": 0.08599853515625}, {"start": 230.22, "end": 230.98, "word": " مثلا", "probability": 0.89208984375}, {"start": 230.98, "end": 231.32, "word": " وهذه", "probability": 0.6563720703125}, {"start": 231.32, "end": 231.9, "word": " الطريقة", "probability": 0.9547526041666666}, {"start": 231.9, "end": 232.46, "word": " طويلة", "probability": 0.9443359375}], "temperature": 1.0}, {"id": 11, "seek": 26197, "start": 232.79, "end": 261.97, "text": "لأ بروح اياش بستخدم .. يعني بالكتير يكون تكامل مباشر أو بالتعويض أو على طول أنه .. يعني التكامل يكون سطر سطرين بس لكن إذا كان التكامل تبعي بدي ياخد معاه وقت وبده تكامل طريقة طويلة لأ بستخدمش هذه .. هذه الطريقة في عندنا طرق أخرى كتير فيبقى هاد استخدامه بحيث أن ال FN كون قابلة للتكامل وكمان تكامل هيكون أياش سهل بستخدم .. بروح بطبق التلات شروط و بجيب التكامل", "tokens": [1211, 10721, 4724, 32887, 5016, 1975, 1829, 33599, 4724, 14851, 9778, 40448, 4386, 37495, 22653, 20666, 4117, 2655, 13546, 7251, 30544, 6055, 4117, 10943, 1211, 3714, 3555, 33599, 2288, 34051, 20666, 2655, 3615, 45865, 11242, 34051, 15844, 23032, 12610, 14739, 3224, 4386, 37495, 22653, 16712, 4117, 10943, 1211, 7251, 30544, 8608, 9566, 2288, 8608, 9566, 2288, 9957, 4724, 3794, 44381, 11933, 15730, 25961, 16712, 4117, 10943, 1211, 6055, 3555, 3615, 1829, 4724, 16254, 7251, 47283, 3215, 20449, 40294, 4032, 38149, 4032, 44510, 3224, 6055, 4117, 10943, 1211, 23032, 16572, 28671, 23032, 2407, 26895, 3660, 5296, 10721, 4724, 14851, 9778, 40448, 8592, 29538, 4386, 29538, 41950, 16572, 28671, 8978, 43242, 8315, 23032, 2288, 4587, 5551, 34740, 7578, 9122, 2655, 13546, 6156, 1829, 3555, 4587, 7578, 8032, 18513, 44713, 9778, 3215, 10943, 3224, 4724, 5016, 1829, 12984, 14739, 2423, 479, 45, 9122, 11536, 12174, 16758, 37977, 24976, 2655, 4117, 10943, 1211, 4032, 24793, 7649, 6055, 4117, 10943, 1211, 39896, 30544, 36632, 33599, 8608, 3224, 1211, 4724, 14851, 9778, 40448, 4386, 4724, 32887, 5016, 4724, 9566, 3555, 4587, 16712, 1211, 9307, 13412, 32887, 9566, 4032, 4724, 7435, 1829, 3555, 16712, 4117, 10943, 1211], "avg_logprob": -0.15935863265816455, "compression_ratio": 2.1862068965517243, "no_speech_prob": 5.4836273193359375e-06, "words": [{"start": 232.79, "end": 233.11, "word": "لأ", "probability": 0.7286376953125}, {"start": 233.11, "end": 233.41, "word": " بروح", "probability": 0.7864583333333334}, {"start": 233.41, "end": 233.69, "word": " اياش", "probability": 0.5884195963541666}, {"start": 233.69, "end": 234.35, "word": " بستخدم", "probability": 0.7008056640625}, {"start": 234.35, "end": 234.35, "word": " ..", "probability": 0.334228515625}, {"start": 234.35, "end": 234.63, "word": " يعني", "probability": 0.873779296875}, {"start": 234.63, "end": 235.23, "word": " بالكتير", "probability": 0.9432373046875}, {"start": 235.23, "end": 235.55, "word": " يكون", "probability": 0.892333984375}, {"start": 235.55, "end": 236.03, "word": " تكامل", "probability": 0.9638671875}, {"start": 236.03, "end": 236.53, "word": " مباشر", "probability": 0.9935302734375}, {"start": 236.53, "end": 236.67, "word": " أو", "probability": 0.92236328125}, {"start": 236.67, "end": 237.29, "word": " بالتعويض", "probability": 0.89326171875}, {"start": 237.29, "end": 237.79, "word": " أو", "probability": 0.892578125}, {"start": 237.79, "end": 238.15, "word": " على", "probability": 0.94384765625}, {"start": 238.15, "end": 238.41, "word": " طول", "probability": 0.99169921875}, {"start": 238.41, "end": 239.23, "word": " أنه", "probability": 0.36474609375}, {"start": 239.23, "end": 239.23, "word": " ..", "probability": 0.54296875}, {"start": 239.23, "end": 240.01, "word": " يعني", "probability": 0.9755859375}, {"start": 240.01, "end": 240.49, "word": " التكامل", "probability": 0.976318359375}, {"start": 240.49, "end": 240.85, "word": " يكون", "probability": 0.99365234375}, {"start": 240.85, "end": 241.67, "word": " سطر", "probability": 0.9812825520833334}, {"start": 241.67, "end": 242.11, "word": " سطرين", "probability": 0.91650390625}, {"start": 242.11, "end": 242.39, "word": " بس", "probability": 0.9892578125}, {"start": 242.39, "end": 243.43, "word": " لكن", "probability": 0.6513671875}, {"start": 243.43, "end": 243.69, "word": " إذا", "probability": 0.937744140625}, {"start": 243.69, "end": 243.91, "word": " كان", "probability": 0.99658203125}, {"start": 243.91, "end": 244.31, "word": " التكامل", "probability": 0.966796875}, {"start": 244.31, "end": 244.59, "word": " تبعي", "probability": 0.9036865234375}, {"start": 244.59, "end": 244.73, "word": " بدي", "probability": 0.6004638671875}, {"start": 244.73, "end": 244.95, "word": " ياخد", "probability": 0.7766927083333334}, {"start": 244.95, "end": 245.19, "word": " معاه", "probability": 0.800537109375}, {"start": 245.19, "end": 245.47, "word": " وقت", "probability": 0.984619140625}, {"start": 245.47, "end": 246.19, "word": " وبده", "probability": 0.7565104166666666}, {"start": 246.19, "end": 246.65, "word": " تكامل", "probability": 0.910888671875}, {"start": 246.65, "end": 247.07, "word": " طريقة", "probability": 0.9895833333333334}, {"start": 247.07, "end": 247.59, "word": " طويلة", "probability": 0.9534912109375}, {"start": 247.59, "end": 247.81, "word": " لأ", "probability": 0.890625}, {"start": 247.81, "end": 248.47, "word": " بستخدمش", "probability": 0.9537109375}, {"start": 248.47, "end": 248.81, "word": " هذه", "probability": 0.77197265625}, {"start": 248.81, "end": 249.37, "word": " ..", "probability": 0.66259765625}, {"start": 249.37, "end": 249.91, "word": " هذه", "probability": 0.8828125}, {"start": 249.91, "end": 250.47, "word": " الطريقة", "probability": 0.9850260416666666}, {"start": 250.47, "end": 250.63, "word": " في", "probability": 0.50634765625}, {"start": 250.63, "end": 250.95, "word": " عندنا", "probability": 0.589111328125}, {"start": 250.95, "end": 251.27, "word": " طرق", "probability": 0.9488932291666666}, {"start": 251.27, "end": 251.63, "word": " أخرى", "probability": 0.9899088541666666}, {"start": 251.63, "end": 252.27, "word": " كتير", "probability": 0.9368489583333334}, {"start": 252.27, "end": 252.87, "word": " فيبقى", "probability": 0.8771484375}, {"start": 252.87, "end": 253.09, "word": " هاد", "probability": 0.5732421875}, {"start": 253.09, "end": 253.73, "word": " استخدامه", "probability": 0.94111328125}, {"start": 253.73, "end": 254.09, "word": " بحيث", "probability": 0.979736328125}, {"start": 254.09, "end": 254.19, "word": " أن", "probability": 0.70703125}, {"start": 254.19, "end": 254.33, "word": " ال", "probability": 0.8310546875}, {"start": 254.33, "end": 254.73, "word": " FN", "probability": 0.452880859375}, {"start": 254.73, "end": 255.03, "word": " كون", "probability": 0.4871826171875}, {"start": 255.03, "end": 255.41, "word": " قابلة", "probability": 0.8992513020833334}, {"start": 255.41, "end": 256.21, "word": " للتكامل", "probability": 0.97626953125}, {"start": 256.21, "end": 256.67, "word": " وكمان", "probability": 0.9225260416666666}, {"start": 256.67, "end": 257.13, "word": " تكامل", "probability": 0.910888671875}, {"start": 257.13, "end": 257.53, "word": " هيكون", "probability": 0.932373046875}, {"start": 257.53, "end": 257.85, "word": " أياش", "probability": 0.7724609375}, {"start": 257.85, "end": 258.55, "word": " سهل", "probability": 0.9847005208333334}, {"start": 258.55, "end": 259.11, "word": " بستخدم", "probability": 0.9683837890625}, {"start": 259.11, "end": 259.19, "word": " ..", "probability": 0.8828125}, {"start": 259.19, "end": 259.49, "word": " بروح", "probability": 0.9930013020833334}, {"start": 259.49, "end": 259.97, "word": " بطبق", "probability": 0.8922119140625}, {"start": 259.97, "end": 260.29, "word": " التلات", "probability": 0.8689778645833334}, {"start": 260.29, "end": 260.63, "word": " شروط", "probability": 0.9357096354166666}, {"start": 260.63, "end": 260.71, "word": " و", "probability": 0.6875}, {"start": 260.71, "end": 261.33, "word": " بجيب", "probability": 0.9854736328125}, {"start": 261.33, "end": 261.97, "word": " التكامل", "probability": 0.993408203125}], "temperature": 1.0}, {"id": 12, "seek": 26994, "start": 262.62, "end": 269.94, "text": "نشوف الأمثلة الموجودة عنا التكامل لل series من انت ساوى اتنين إلى ما لانها واحد على ان لان الانت كده", "tokens": [1863, 8592, 38688, 16247, 2304, 12984, 37977, 9673, 29245, 23328, 3660, 6225, 8315, 16712, 4117, 10943, 1211, 24976, 2638, 9154, 16472, 2655, 8608, 995, 2407, 7578, 1975, 2655, 1863, 9957, 30731, 19446, 5296, 7649, 11296, 36764, 24401, 15844, 16472, 5296, 7649, 2423, 7649, 2655, 9122, 3215, 3224], "avg_logprob": -0.41536457029481727, "compression_ratio": 1.4344262295081966, "no_speech_prob": 0.0, "words": [{"start": 262.62, "end": 263.0, "word": "نشوف", "probability": 0.6775716145833334}, {"start": 263.0, "end": 263.48, "word": " الأمثلة", "probability": 0.931640625}, {"start": 263.48, "end": 264.02, "word": " الموجودة", "probability": 0.898681640625}, {"start": 264.02, "end": 264.34, "word": " عنا", "probability": 0.589599609375}, {"start": 264.34, "end": 265.34, "word": " التكامل", "probability": 0.924560546875}, {"start": 265.34, "end": 265.64, "word": " لل", "probability": 0.57763671875}, {"start": 265.64, "end": 266.04, "word": " series", "probability": 0.50732421875}, {"start": 266.04, "end": 266.54, "word": " من", "probability": 0.65576171875}, {"start": 266.54, "end": 266.92, "word": " انت", "probability": 0.5657958984375}, {"start": 266.92, "end": 267.2, "word": " ساوى", "probability": 0.53497314453125}, {"start": 267.2, "end": 267.42, "word": " اتنين", "probability": 0.898193359375}, {"start": 267.42, "end": 267.62, "word": " إلى", "probability": 0.693359375}, {"start": 267.62, "end": 267.72, "word": " ما", "probability": 0.324462890625}, {"start": 267.72, "end": 268.04, "word": " لانها", "probability": 0.4029947916666667}, {"start": 268.04, "end": 268.46, "word": " واحد", "probability": 0.917724609375}, {"start": 268.46, "end": 268.68, "word": " على", "probability": 0.732421875}, {"start": 268.68, "end": 268.9, "word": " ان", "probability": 0.72265625}, {"start": 268.9, "end": 269.2, "word": " لان", "probability": 0.591064453125}, {"start": 269.2, "end": 269.6, "word": " الانت", "probability": 0.7638346354166666}, {"start": 269.6, "end": 269.94, "word": " كده", "probability": 0.6968994140625}], "temperature": 1.0}, {"id": 13, "seek": 29791, "start": 271.09, "end": 297.91, "text": "Test for convergence لما يقول لي test يبقى لازم انا استخدم اياش ال test ال test اللي بدنا نستخدمه اللي هو طبعا الأمثلة على ال integral test بدي احول ال a n هذه إلى نحطها f of n تسوى واحد على n لن تكيف و ال n أكبر أو سوى اتنين طبعا على بداية اياش الأتنين اللي هي بداية ال series نشوف هل الشروط تنطبق من اتنين إلى مانا نهاية ولا لأ لو مش من اتنين من بعد الأتنين فاش عندنا مشكلة المهم", "tokens": [51, 377, 337, 32181, 5296, 15042, 7251, 39648, 32239, 1500, 7251, 3555, 4587, 7578, 5296, 31377, 2304, 1975, 8315, 44713, 9778, 40448, 1975, 1829, 33599, 2423, 1500, 2423, 1500, 13672, 1829, 47525, 8315, 8717, 14851, 9778, 40448, 3224, 13672, 1829, 31439, 23032, 3555, 3615, 995, 16247, 2304, 12984, 37977, 15844, 2423, 11573, 1500, 4724, 16254, 1975, 5016, 12610, 2423, 257, 297, 29538, 30731, 8717, 5016, 9566, 11296, 283, 295, 297, 6055, 3794, 2407, 7578, 36764, 24401, 15844, 297, 5296, 1863, 6055, 4117, 1829, 5172, 4032, 2423, 297, 5551, 4117, 26890, 34051, 8608, 2407, 7578, 1975, 2655, 1863, 9957, 23032, 3555, 3615, 995, 15844, 4724, 28259, 10632, 1975, 1829, 33599, 16247, 2655, 1863, 9957, 13672, 1829, 39896, 4724, 28259, 10632, 2423, 2638, 8717, 8592, 38688, 8032, 1211, 25124, 32887, 9566, 6055, 1863, 9566, 3555, 4587, 9154, 1975, 2655, 1863, 9957, 30731, 3714, 7649, 995, 8717, 11296, 10632, 49429, 5296, 10721, 45164, 37893, 9154, 1975, 2655, 1863, 9957, 9154, 39182, 16247, 2655, 1863, 9957, 6156, 33599, 43242, 8315, 37893, 28820, 3660, 9673, 16095], "avg_logprob": -0.3204941782493924, "compression_ratio": 2.0194174757281553, "no_speech_prob": 1.1861324310302734e-05, "words": [{"start": 271.09000000000003, "end": 271.61, "word": "Test", "probability": 0.498443603515625}, {"start": 271.61, "end": 271.81, "word": " for", "probability": 0.76708984375}, {"start": 271.81, "end": 272.39, "word": " convergence", "probability": 0.88916015625}, {"start": 272.39, "end": 272.61, "word": " لما", "probability": 0.57159423828125}, {"start": 272.61, "end": 272.77, "word": " يقول", "probability": 0.919189453125}, {"start": 272.77, "end": 272.87, "word": " لي", "probability": 0.1298828125}, {"start": 272.87, "end": 273.11, "word": " test", "probability": 0.58935546875}, {"start": 273.11, "end": 273.31, "word": " يبقى", "probability": 0.9210205078125}, {"start": 273.31, "end": 273.57, "word": " لازم", "probability": 0.9879557291666666}, {"start": 273.57, "end": 273.69, "word": " انا", "probability": 0.696533203125}, {"start": 273.69, "end": 274.25, "word": " استخدم", "probability": 0.89306640625}, {"start": 274.25, "end": 274.57, "word": " اياش", "probability": 0.3993937174479167}, {"start": 274.57, "end": 274.71, "word": " ال", "probability": 0.7236328125}, {"start": 274.71, "end": 274.97, "word": " test", "probability": 0.89306640625}, {"start": 274.97, "end": 276.51, "word": " ال", "probability": 0.41455078125}, {"start": 276.51, "end": 276.89, "word": " test", "probability": 0.87890625}, {"start": 276.89, "end": 277.13, "word": " اللي", "probability": 0.3946533203125}, {"start": 277.13, "end": 277.41, "word": " بدنا", "probability": 0.793212890625}, {"start": 277.41, "end": 278.07, "word": " نستخدمه", "probability": 0.966796875}, {"start": 278.07, "end": 278.19, "word": " اللي", "probability": 0.7060546875}, {"start": 278.19, "end": 278.35, "word": " هو", "probability": 0.92724609375}, {"start": 278.35, "end": 278.73, "word": " طبعا", "probability": 0.80950927734375}, {"start": 278.73, "end": 279.55, "word": " الأمثلة", "probability": 0.76123046875}, {"start": 279.55, "end": 279.73, "word": " على", "probability": 0.6533203125}, {"start": 279.73, "end": 279.85, "word": " ال", "probability": 0.95361328125}, {"start": 279.85, "end": 280.19, "word": " integral", "probability": 0.2437744140625}, {"start": 280.19, "end": 280.65, "word": " test", "probability": 0.9462890625}, {"start": 280.65, "end": 281.25, "word": " بدي", "probability": 0.5418701171875}, {"start": 281.25, "end": 281.57, "word": " احول", "probability": 0.8046875}, {"start": 281.57, "end": 281.71, "word": " ال", "probability": 0.88134765625}, {"start": 281.71, "end": 281.85, "word": " a", "probability": 0.51318359375}, {"start": 281.85, "end": 282.03, "word": " n", "probability": 0.17333984375}, {"start": 282.03, "end": 282.29, "word": " هذه", "probability": 0.64453125}, {"start": 282.29, "end": 282.51, "word": " إلى", "probability": 0.568359375}, {"start": 282.51, "end": 282.91, "word": " نحطها", "probability": 0.78704833984375}, {"start": 282.91, "end": 283.11, "word": " f", "probability": 0.487548828125}, {"start": 283.11, "end": 283.31, "word": " of", "probability": 0.8642578125}, {"start": 283.31, "end": 283.55, "word": " n", "probability": 0.9453125}, {"start": 283.55, "end": 283.95, "word": " تسوى", "probability": 0.6346435546875}, {"start": 283.95, "end": 284.25, "word": " واحد", "probability": 0.846435546875}, {"start": 284.25, "end": 284.45, "word": " على", "probability": 0.82666015625}, {"start": 284.45, "end": 284.69, "word": " n", "probability": 0.68896484375}, {"start": 284.69, "end": 284.95, "word": " لن", "probability": 0.4427490234375}, {"start": 284.95, "end": 285.45, "word": " تكيف", "probability": 0.73712158203125}, {"start": 285.45, "end": 286.51, "word": " و", "probability": 0.379638671875}, {"start": 286.51, "end": 286.61, "word": " ال", "probability": 0.8798828125}, {"start": 286.61, "end": 286.75, "word": " n", "probability": 0.78076171875}, {"start": 286.75, "end": 287.03, "word": " أكبر", "probability": 0.958984375}, {"start": 287.03, "end": 287.19, "word": " أو", "probability": 0.69091796875}, {"start": 287.19, "end": 287.47, "word": " سوى", "probability": 0.7628580729166666}, {"start": 287.47, "end": 287.67, "word": " اتنين", "probability": 0.9327392578125}, {"start": 287.67, "end": 287.99, "word": " طبعا", "probability": 0.950439453125}, {"start": 287.99, "end": 288.15, "word": " على", "probability": 0.60498046875}, {"start": 288.15, "end": 288.55, "word": " بداية", "probability": 0.9695638020833334}, {"start": 288.55, "end": 288.77, "word": " اياش", "probability": 0.758544921875}, {"start": 288.77, "end": 289.13, "word": " الأتنين", "probability": 0.7586669921875}, {"start": 289.13, "end": 289.25, "word": " اللي", "probability": 0.89453125}, {"start": 289.25, "end": 289.37, "word": " هي", "probability": 0.84521484375}, {"start": 289.37, "end": 289.93, "word": " بداية", "probability": 0.97802734375}, {"start": 289.93, "end": 290.25, "word": " ال", "probability": 0.927734375}, {"start": 290.25, "end": 290.77, "word": " series", "probability": 0.8740234375}, {"start": 290.77, "end": 291.17, "word": " نشوف", "probability": 0.8040364583333334}, {"start": 291.17, "end": 291.41, "word": " هل", "probability": 0.9814453125}, {"start": 291.41, "end": 291.83, "word": " الشروط", "probability": 0.8538411458333334}, {"start": 291.83, "end": 292.37, "word": " تنطبق", "probability": 0.92822265625}, {"start": 292.37, "end": 292.55, "word": " من", "probability": 0.99462890625}, {"start": 292.55, "end": 292.87, "word": " اتنين", "probability": 0.9410400390625}, {"start": 292.87, "end": 293.07, "word": " إلى", "probability": 0.916015625}, {"start": 293.07, "end": 293.37, "word": " مانا", "probability": 0.5118001302083334}, {"start": 293.37, "end": 293.77, "word": " نهاية", "probability": 0.9173177083333334}, {"start": 293.77, "end": 294.21, "word": " ولا", "probability": 0.611328125}, {"start": 294.21, "end": 294.41, "word": " لأ", "probability": 0.925048828125}, {"start": 294.41, "end": 294.59, "word": " لو", "probability": 0.7265625}, {"start": 294.59, "end": 294.81, "word": " مش", "probability": 0.984375}, {"start": 294.81, "end": 294.97, "word": " من", "probability": 0.9931640625}, {"start": 294.97, "end": 295.31, "word": " اتنين", "probability": 0.97119140625}, {"start": 295.31, "end": 295.49, "word": " من", "probability": 0.8603515625}, {"start": 295.49, "end": 295.75, "word": " بعد", "probability": 0.94580078125}, {"start": 295.75, "end": 296.21, "word": " الأتنين", "probability": 0.849609375}, {"start": 296.21, "end": 296.43, "word": " فاش", "probability": 0.24053955078125}, {"start": 296.43, "end": 296.71, "word": " عندنا", "probability": 0.755126953125}, {"start": 296.71, "end": 297.21, "word": " مشكلة", "probability": 0.9650065104166666}, {"start": 297.21, "end": 297.91, "word": " المهم", "probability": 0.945068359375}], "temperature": 1.0}, {"id": 14, "seek": 32573, "start": 298.11, "end": 325.73, "text": "من أي رقم بعد الإثنين من الإثنين أو بعد الإثنين الشرط الأول F of N أكبر من السفر طبعا واضح جدا لأن ال N هنا موجبة و لأن ال N من بعد الإثنين برضه اضطر من بعد الواحد عند الواحد سفر و بعد الواحد كله موجب يبقى من بعد الإثنين برضه موجبة كذلك ال F of N تبعتنا موجبة الآن ال F of N continuous لأن معدل مقامي ساوي سفر و مقامي ساوي سفر عند السفر و عند الواحد لأن لإن الواحد سفر", "tokens": [27842, 36632, 12602, 4587, 2304, 39182, 33688, 12984, 1863, 9957, 9154, 33688, 12984, 1863, 9957, 34051, 39182, 33688, 12984, 1863, 9957, 25124, 2288, 9566, 16247, 12610, 479, 295, 426, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 23032, 3555, 3615, 995, 4032, 46958, 5016, 10874, 28259, 5296, 33456, 2423, 426, 34105, 3714, 29245, 49401, 4032, 5296, 33456, 2423, 426, 9154, 39182, 33688, 12984, 1863, 9957, 4724, 43042, 3224, 1975, 11242, 9566, 2288, 9154, 39182, 2423, 14407, 24401, 43242, 2423, 14407, 24401, 8608, 5172, 2288, 4032, 39182, 2423, 14407, 24401, 28242, 3224, 3714, 29245, 3555, 7251, 3555, 4587, 7578, 9154, 39182, 33688, 12984, 1863, 9957, 4724, 43042, 3224, 3714, 29245, 49401, 9122, 8848, 23275, 2423, 479, 295, 426, 6055, 3555, 34268, 8315, 3714, 29245, 49401, 6024, 48506, 2423, 479, 295, 426, 10957, 5296, 33456, 20449, 3215, 1211, 3714, 4587, 10943, 1829, 8608, 995, 45865, 8608, 5172, 2288, 4032, 3714, 4587, 10943, 1829, 8608, 995, 45865, 8608, 5172, 2288, 43242, 21136, 5172, 2288, 4032, 43242, 2423, 14407, 24401, 5296, 33456, 5296, 28814, 1863, 2423, 14407, 24401, 8608, 5172, 2288], "avg_logprob": -0.17955508205176746, "compression_ratio": 2.5609756097560976, "no_speech_prob": 5.185604095458984e-06, "words": [{"start": 298.11, "end": 298.47, "word": "من", "probability": 0.65185546875}, {"start": 298.47, "end": 299.01, "word": " أي", "probability": 0.7060546875}, {"start": 299.01, "end": 299.45, "word": " رقم", "probability": 0.9845377604166666}, {"start": 299.45, "end": 299.73, "word": " بعد", "probability": 0.93212890625}, {"start": 299.73, "end": 300.29, "word": " الإثنين", "probability": 0.728271484375}, {"start": 300.29, "end": 300.75, "word": " من", "probability": 0.37109375}, {"start": 300.75, "end": 301.95, "word": " الإثنين", "probability": 0.9427490234375}, {"start": 301.95, "end": 302.09, "word": " أو", "probability": 0.71533203125}, {"start": 302.09, "end": 302.31, "word": " بعد", "probability": 0.962890625}, {"start": 302.31, "end": 302.75, "word": " الإثنين", "probability": 0.9774169921875}, {"start": 302.75, "end": 303.51, "word": " الشرط", "probability": 0.9138997395833334}, {"start": 303.51, "end": 303.87, "word": " الأول", "probability": 0.973876953125}, {"start": 303.87, "end": 304.11, "word": " F", "probability": 0.412353515625}, {"start": 304.11, "end": 304.31, "word": " of", "probability": 0.62744140625}, {"start": 304.31, "end": 304.45, "word": " N", "probability": 0.7578125}, {"start": 304.45, "end": 304.85, "word": " أكبر", "probability": 0.9557291666666666}, {"start": 304.85, "end": 305.03, "word": " من", "probability": 0.99169921875}, {"start": 305.03, "end": 305.37, "word": " السفر", "probability": 0.7552897135416666}, {"start": 305.37, "end": 305.69, "word": " طبعا", "probability": 0.875}, {"start": 305.69, "end": 306.03, "word": " واضح", "probability": 0.88134765625}, {"start": 306.03, "end": 306.39, "word": " جدا", "probability": 0.99365234375}, {"start": 306.39, "end": 306.71, "word": " لأن", "probability": 0.7978515625}, {"start": 306.71, "end": 306.87, "word": " ال", "probability": 0.78955078125}, {"start": 306.87, "end": 306.99, "word": " N", "probability": 0.406494140625}, {"start": 306.99, "end": 307.25, "word": " هنا", "probability": 0.8955078125}, {"start": 307.25, "end": 307.67, "word": " موجبة", "probability": 0.9864908854166666}, {"start": 307.67, "end": 308.21, "word": " و", "probability": 0.73046875}, {"start": 308.21, "end": 308.41, "word": " لأن", "probability": 0.5185546875}, {"start": 308.41, "end": 308.61, "word": " ال", "probability": 0.955078125}, {"start": 308.61, "end": 308.89, "word": " N", "probability": 0.9580078125}, {"start": 308.89, "end": 309.27, "word": " من", "probability": 0.92822265625}, {"start": 309.27, "end": 309.55, "word": " بعد", "probability": 0.92333984375}, {"start": 309.55, "end": 310.13, "word": " الإثنين", "probability": 0.9639892578125}, {"start": 310.13, "end": 310.55, "word": " برضه", "probability": 0.8470052083333334}, {"start": 310.55, "end": 311.01, "word": " اضطر", "probability": 0.636474609375}, {"start": 311.01, "end": 311.15, "word": " من", "probability": 0.9609375}, {"start": 311.15, "end": 311.39, "word": " بعد", "probability": 0.9072265625}, {"start": 311.39, "end": 311.97, "word": " الواحد", "probability": 0.8644205729166666}, {"start": 311.97, "end": 312.43, "word": " عند", "probability": 0.8515625}, {"start": 312.43, "end": 312.75, "word": " الواحد", "probability": 0.9723307291666666}, {"start": 312.75, "end": 313.05, "word": " سفر", "probability": 0.9724934895833334}, {"start": 313.05, "end": 313.13, "word": " و", "probability": 0.5498046875}, {"start": 313.13, "end": 313.29, "word": " بعد", "probability": 0.92724609375}, {"start": 313.29, "end": 313.65, "word": " الواحد", "probability": 0.9879557291666666}, {"start": 313.65, "end": 314.01, "word": " كله", "probability": 0.9482421875}, {"start": 314.01, "end": 314.37, "word": " موجب", "probability": 0.9420572916666666}, {"start": 314.37, "end": 314.87, "word": " يبقى", "probability": 0.8177490234375}, {"start": 314.87, "end": 314.97, "word": " من", "probability": 0.86572265625}, {"start": 314.97, "end": 315.15, "word": " بعد", "probability": 0.9599609375}, {"start": 315.15, "end": 315.49, "word": " الإثنين", "probability": 0.905029296875}, {"start": 315.49, "end": 315.77, "word": " برضه", "probability": 0.9392903645833334}, {"start": 315.77, "end": 316.21, "word": " موجبة", "probability": 0.9807942708333334}, {"start": 316.21, "end": 316.77, "word": " كذلك", "probability": 0.5550944010416666}, {"start": 316.77, "end": 316.93, "word": " ال", "probability": 0.50048828125}, {"start": 316.93, "end": 317.09, "word": " F", "probability": 0.9287109375}, {"start": 317.09, "end": 317.23, "word": " of", "probability": 0.9375}, {"start": 317.23, "end": 317.37, "word": " N", "probability": 0.9921875}, {"start": 317.37, "end": 317.87, "word": " تبعتنا", "probability": 0.81591796875}, {"start": 317.87, "end": 318.79, "word": " موجبة", "probability": 0.9860026041666666}, {"start": 318.79, "end": 319.25, "word": " الآن", "probability": 0.6285400390625}, {"start": 319.25, "end": 319.41, "word": " ال", "probability": 0.859375}, {"start": 319.41, "end": 319.55, "word": " F", "probability": 0.93994140625}, {"start": 319.55, "end": 319.75, "word": " of", "probability": 0.9580078125}, {"start": 319.75, "end": 319.89, "word": " N", "probability": 0.9931640625}, {"start": 319.89, "end": 320.67, "word": " continuous", "probability": 0.89501953125}, {"start": 320.67, "end": 321.25, "word": " لأن", "probability": 0.4278564453125}, {"start": 321.25, "end": 321.63, "word": " معدل", "probability": 0.7428385416666666}, {"start": 321.63, "end": 322.01, "word": " مقامي", "probability": 0.95068359375}, {"start": 322.01, "end": 322.21, "word": " ساوي", "probability": 0.7713216145833334}, {"start": 322.21, "end": 322.49, "word": " سفر", "probability": 0.9830729166666666}, {"start": 322.49, "end": 322.55, "word": " و", "probability": 0.85107421875}, {"start": 322.55, "end": 322.93, "word": " مقامي", "probability": 0.8682861328125}, {"start": 322.93, "end": 323.11, "word": " ساوي", "probability": 0.9708658854166666}, {"start": 323.11, "end": 323.41, "word": " سفر", "probability": 0.9954427083333334}, {"start": 323.41, "end": 323.63, "word": " عند", "probability": 0.97021484375}, {"start": 323.63, "end": 323.99, "word": " السفر", "probability": 0.9886067708333334}, {"start": 323.99, "end": 324.07, "word": " و", "probability": 0.8984375}, {"start": 324.07, "end": 324.25, "word": " عند", "probability": 0.87939453125}, {"start": 324.25, "end": 324.63, "word": " الواحد", "probability": 0.9928385416666666}, {"start": 324.63, "end": 324.91, "word": " لأن", "probability": 0.86767578125}, {"start": 324.91, "end": 325.11, "word": " لإن", "probability": 0.6702473958333334}, {"start": 325.11, "end": 325.43, "word": " الواحد", "probability": 0.9251302083333334}, {"start": 325.43, "end": 325.73, "word": " سفر", "probability": 0.8829752604166666}], "temperature": 1.0}, {"id": 15, "seek": 35234, "start": 326.14, "end": 352.34, "text": "يبقى continuous for all n لتساوية 0.1 و ال serious bad يبقى continuous for all n أكبر أو ساوي لتنين يبقى الشرطين هذول مازالوا ينطرقوا من اتنين إلى مال نهاية الشرط التالت اللي هو ال decreasing بإننا نجيب F prime F prime يساوي هي مقام تربيع المقام في تفاضل ال bus ناقص ال bus في تفاضل المقام هيناقص و هيتفاضل المقام لأن ال N مقاش وين في N طبعا ال N أكبر من الأتنين وبالتالي كل هذا موجب", "tokens": [1829, 3555, 4587, 7578, 10957, 337, 439, 297, 5296, 2655, 3794, 995, 2407, 10632, 1958, 13, 16, 4032, 2423, 3156, 1578, 7251, 3555, 4587, 7578, 10957, 337, 439, 297, 5551, 4117, 26890, 34051, 8608, 995, 45865, 5296, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 25124, 2288, 9566, 9957, 8032, 8848, 12610, 3714, 31377, 6027, 14407, 7251, 1863, 9566, 2288, 4587, 14407, 9154, 1975, 2655, 1863, 9957, 30731, 3714, 6027, 8717, 11296, 10632, 25124, 2288, 9566, 16712, 6027, 2655, 13672, 1829, 31439, 2423, 23223, 4724, 28814, 1863, 8315, 8717, 7435, 1829, 3555, 479, 5835, 479, 5835, 7251, 3794, 995, 45865, 39896, 3714, 4587, 10943, 6055, 2288, 21292, 3615, 9673, 4587, 10943, 8978, 6055, 5172, 46958, 1211, 2423, 1255, 8717, 995, 4587, 9381, 2423, 1255, 8978, 6055, 5172, 46958, 1211, 9673, 4587, 10943, 39896, 8315, 4587, 9381, 4032, 39896, 2655, 5172, 46958, 1211, 9673, 4587, 10943, 5296, 33456, 2423, 426, 3714, 4587, 33599, 4032, 9957, 8978, 426, 23032, 3555, 3615, 995, 2423, 426, 5551, 4117, 26890, 9154, 16247, 2655, 1863, 9957, 46599, 6027, 2655, 6027, 1829, 28242, 23758, 3714, 29245, 3555], "avg_logprob": -0.2932291552424431, "compression_ratio": 2.00327868852459, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 326.14, "end": 326.52, "word": "يبقى", "probability": 0.71881103515625}, {"start": 326.52, "end": 326.88, "word": " continuous", "probability": 0.86865234375}, {"start": 326.88, "end": 327.18, "word": " for", "probability": 0.876953125}, {"start": 327.18, "end": 327.36, "word": " all", "probability": 0.92578125}, {"start": 327.36, "end": 327.48, "word": " n", "probability": 0.291748046875}, {"start": 327.48, "end": 327.92, "word": " لتساوية", "probability": 0.5111897786458334}, {"start": 327.92, "end": 328.12, "word": " 0", "probability": 0.38427734375}, {"start": 328.12, "end": 328.52, "word": ".1", "probability": 0.6016845703125}, {"start": 328.52, "end": 328.96, "word": " و", "probability": 0.2783203125}, {"start": 328.96, "end": 329.06, "word": " ال", "probability": 0.4208984375}, {"start": 329.06, "end": 329.3, "word": " serious", "probability": 0.330078125}, {"start": 329.3, "end": 329.56, "word": " bad", "probability": 0.63916015625}, {"start": 329.56, "end": 330.82, "word": " يبقى", "probability": 0.75225830078125}, {"start": 330.82, "end": 331.14, "word": " continuous", "probability": 0.89501953125}, {"start": 331.14, "end": 331.62, "word": " for", "probability": 0.943359375}, {"start": 331.62, "end": 331.82, "word": " all", "probability": 0.94970703125}, {"start": 331.82, "end": 332.04, "word": " n", "probability": 0.84375}, {"start": 332.04, "end": 332.4, "word": " أكبر", "probability": 0.8028971354166666}, {"start": 332.4, "end": 332.54, "word": " أو", "probability": 0.74755859375}, {"start": 332.54, "end": 332.96, "word": " ساوي", "probability": 0.75048828125}, {"start": 332.96, "end": 333.62, "word": " لتنين", "probability": 0.70025634765625}, {"start": 333.62, "end": 333.88, "word": " يبقى", "probability": 0.83343505859375}, {"start": 333.88, "end": 334.34, "word": " الشرطين", "probability": 0.9468994140625}, {"start": 334.34, "end": 334.62, "word": " هذول", "probability": 0.6363932291666666}, {"start": 334.62, "end": 335.02, "word": " مازالوا", "probability": 0.70556640625}, {"start": 335.02, "end": 335.52, "word": " ينطرقوا", "probability": 0.8715006510416666}, {"start": 335.52, "end": 335.66, "word": " من", "probability": 0.9716796875}, {"start": 335.66, "end": 335.96, "word": " اتنين", "probability": 0.750244140625}, {"start": 335.96, "end": 336.2, "word": " إلى", "probability": 0.57861328125}, {"start": 336.2, "end": 336.84, "word": " مال", "probability": 0.645263671875}, {"start": 336.84, "end": 337.28, "word": " نهاية", "probability": 0.8966471354166666}, {"start": 337.28, "end": 337.86, "word": " الشرط", "probability": 0.955078125}, {"start": 337.86, "end": 338.3, "word": " التالت", "probability": 0.8893229166666666}, {"start": 338.3, "end": 338.44, "word": " اللي", "probability": 0.5614013671875}, {"start": 338.44, "end": 338.58, "word": " هو", "probability": 0.9755859375}, {"start": 338.58, "end": 338.68, "word": " ال", "probability": 0.59521484375}, {"start": 338.68, "end": 339.1, "word": " decreasing", "probability": 0.84716796875}, {"start": 339.1, "end": 339.48, "word": " بإننا", "probability": 0.43023681640625}, {"start": 339.48, "end": 339.64, "word": " نجيب", "probability": 0.988525390625}, {"start": 339.64, "end": 339.82, "word": " F", "probability": 0.51171875}, {"start": 339.82, "end": 340.24, "word": " prime", "probability": 0.5087890625}, {"start": 340.24, "end": 340.88, "word": " F", "probability": 0.5703125}, {"start": 340.88, "end": 341.16, "word": " prime", "probability": 0.796875}, {"start": 341.16, "end": 341.66, "word": " يساوي", "probability": 0.9019775390625}, {"start": 341.66, "end": 341.82, "word": " هي", "probability": 0.63037109375}, {"start": 341.82, "end": 342.14, "word": " مقام", "probability": 0.9573567708333334}, {"start": 342.14, "end": 342.52, "word": " تربيع", "probability": 0.7950439453125}, {"start": 342.52, "end": 342.74, "word": " المقام", "probability": 0.8515625}, {"start": 342.74, "end": 342.88, "word": " في", "probability": 0.87744140625}, {"start": 342.88, "end": 343.2, "word": " تفاضل", "probability": 0.9793701171875}, {"start": 343.2, "end": 343.32, "word": " ال", "probability": 0.3486328125}, {"start": 343.32, "end": 343.42, "word": " bus", "probability": 0.83251953125}, {"start": 343.42, "end": 343.74, "word": " ناقص", "probability": 0.8680419921875}, {"start": 343.74, "end": 343.86, "word": " ال", "probability": 0.91552734375}, {"start": 343.86, "end": 344.04, "word": " bus", "probability": 0.9765625}, {"start": 344.04, "end": 344.16, "word": " في", "probability": 0.96484375}, {"start": 344.16, "end": 344.52, "word": " تفاضل", "probability": 0.988037109375}, {"start": 344.52, "end": 344.98, "word": " المقام", "probability": 0.9915364583333334}, {"start": 344.98, "end": 345.8, "word": " هيناقص", "probability": 0.794189453125}, {"start": 345.8, "end": 345.86, "word": " و", "probability": 0.50830078125}, {"start": 345.86, "end": 346.44, "word": " هيتفاضل", "probability": 0.89169921875}, {"start": 346.44, "end": 347.28, "word": " المقام", "probability": 0.7850748697916666}, {"start": 347.28, "end": 347.9, "word": " لأن", "probability": 0.6943359375}, {"start": 347.9, "end": 348.04, "word": " ال", "probability": 0.951171875}, {"start": 348.04, "end": 348.22, "word": " N", "probability": 0.496337890625}, {"start": 348.22, "end": 348.7, "word": " مقاش", "probability": 0.5194498697916666}, {"start": 348.7, "end": 348.98, "word": " وين", "probability": 0.611328125}, {"start": 348.98, "end": 349.08, "word": " في", "probability": 0.65283203125}, {"start": 349.08, "end": 349.32, "word": " N", "probability": 0.395751953125}, {"start": 349.32, "end": 349.62, "word": " طبعا", "probability": 0.8790283203125}, {"start": 349.62, "end": 349.74, "word": " ال", "probability": 0.87109375}, {"start": 349.74, "end": 349.88, "word": " N", "probability": 0.88525390625}, {"start": 349.88, "end": 350.18, "word": " أكبر", "probability": 0.97119140625}, {"start": 350.18, "end": 350.32, "word": " من", "probability": 0.9794921875}, {"start": 350.32, "end": 350.64, "word": " الأتنين", "probability": 0.7908935546875}, {"start": 350.64, "end": 351.16, "word": " وبالتالي", "probability": 0.92548828125}, {"start": 351.16, "end": 351.42, "word": " كل", "probability": 0.96337890625}, {"start": 351.42, "end": 351.76, "word": " هذا", "probability": 0.939453125}, {"start": 351.76, "end": 352.34, "word": " موجب", "probability": 0.9423828125}], "temperature": 1.0}, {"id": 16, "seek": 37969, "start": 352.57, "end": 379.69, "text": "لأن ال N موجب هو بتالي كل هذا term موجب طبعا المقام كمان موجب وهنا فيه تالب إذا هذا أقل من الصفر واضح جدا أنه أقل من الصفر يعني ال F تبعتنا decreasing إذا نفترض شروط تبعتنا ال integral test انطبقه بروح بجيب إيش التكامل من إتنين طبعا الشروط انطبقت من الإتنين لما لنهاية فبنحط التكامل من إتنين لما لنهاية وDX على X لان تكييب X طبعا هنا شيلنا N وحطنا X عشان منها الكامل", "tokens": [1211, 33456, 2423, 426, 3714, 29245, 3555, 31439, 39894, 6027, 1829, 28242, 23758, 1433, 3714, 29245, 3555, 23032, 3555, 3615, 995, 9673, 4587, 10943, 9122, 2304, 7649, 3714, 29245, 3555, 37037, 8315, 8978, 3224, 6055, 6027, 3555, 11933, 15730, 23758, 5551, 4587, 1211, 9154, 31767, 5172, 2288, 4032, 46958, 5016, 10874, 28259, 14739, 3224, 5551, 4587, 1211, 9154, 31767, 5172, 2288, 37495, 22653, 2423, 479, 6055, 3555, 34268, 8315, 23223, 11933, 15730, 8717, 5172, 2655, 43042, 13412, 32887, 9566, 6055, 3555, 34268, 8315, 2423, 11573, 1500, 16472, 9566, 3555, 4587, 3224, 4724, 32887, 5016, 4724, 7435, 1829, 3555, 11933, 1829, 8592, 16712, 4117, 10943, 1211, 9154, 11933, 2655, 1863, 9957, 23032, 3555, 3615, 995, 25124, 32887, 9566, 16472, 9566, 3555, 38149, 9154, 33688, 2655, 1863, 9957, 5296, 15042, 5296, 1863, 3224, 995, 10632, 6156, 3555, 1863, 5016, 9566, 16712, 4117, 10943, 1211, 9154, 11933, 2655, 1863, 9957, 5296, 15042, 5296, 1863, 3224, 995, 10632, 4032, 35, 55, 15844, 1783, 5296, 7649, 6055, 4117, 1829, 1829, 3555, 1783, 23032, 3555, 3615, 995, 34105, 13412, 26895, 8315, 426, 4032, 5016, 9566, 8315, 1783, 6225, 8592, 7649, 9154, 11296, 33251, 10943, 1211], "avg_logprob": -0.23437499529437014, "compression_ratio": 2.0939597315436242, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 352.57, "end": 353.09, "word": "لأن", "probability": 0.6387939453125}, {"start": 353.09, "end": 353.27, "word": " ال", "probability": 0.67919921875}, {"start": 353.27, "end": 353.39, "word": " N", "probability": 0.1611328125}, {"start": 353.39, "end": 353.75, "word": " موجب", "probability": 0.9645182291666666}, {"start": 353.75, "end": 353.91, "word": " هو", "probability": 0.50634765625}, {"start": 353.91, "end": 354.23, "word": " بتالي", "probability": 0.6838785807291666}, {"start": 354.23, "end": 354.43, "word": " كل", "probability": 0.7998046875}, {"start": 354.43, "end": 354.65, "word": " هذا", "probability": 0.91650390625}, {"start": 354.65, "end": 354.95, "word": " term", "probability": 0.5263671875}, {"start": 354.95, "end": 355.23, "word": " موجب", "probability": 0.9578450520833334}, {"start": 355.23, "end": 355.55, "word": " طبعا", "probability": 0.82501220703125}, {"start": 355.55, "end": 355.97, "word": " المقام", "probability": 0.9573567708333334}, {"start": 355.97, "end": 356.31, "word": " كمان", "probability": 0.8771158854166666}, {"start": 356.31, "end": 356.65, "word": " موجب", "probability": 0.9820963541666666}, {"start": 356.65, "end": 356.91, "word": " وهنا", "probability": 0.7083740234375}, {"start": 356.91, "end": 357.19, "word": " فيه", "probability": 0.842529296875}, {"start": 357.19, "end": 357.49, "word": " تالب", "probability": 0.733642578125}, {"start": 357.49, "end": 357.93, "word": " إذا", "probability": 0.708984375}, {"start": 357.93, "end": 358.19, "word": " هذا", "probability": 0.79345703125}, {"start": 358.19, "end": 358.55, "word": " أقل", "probability": 0.9708658854166666}, {"start": 358.55, "end": 358.73, "word": " من", "probability": 0.990234375}, {"start": 358.73, "end": 359.09, "word": " الصفر", "probability": 0.740478515625}, {"start": 359.09, "end": 359.41, "word": " واضح", "probability": 0.8108723958333334}, {"start": 359.41, "end": 359.67, "word": " جدا", "probability": 0.990234375}, {"start": 359.67, "end": 359.95, "word": " أنه", "probability": 0.71435546875}, {"start": 359.95, "end": 360.59, "word": " أقل", "probability": 0.9755859375}, {"start": 360.59, "end": 360.87, "word": " من", "probability": 0.98779296875}, {"start": 360.87, "end": 361.61, "word": " الصفر", "probability": 0.9508463541666666}, {"start": 361.61, "end": 361.85, "word": " يعني", "probability": 0.926513671875}, {"start": 361.85, "end": 361.99, "word": " ال", "probability": 0.7021484375}, {"start": 361.99, "end": 362.17, "word": " F", "probability": 0.85107421875}, {"start": 362.17, "end": 362.75, "word": " تبعتنا", "probability": 0.8453369140625}, {"start": 362.75, "end": 363.29, "word": " decreasing", "probability": 0.7490234375}, {"start": 363.29, "end": 363.57, "word": " إذا", "probability": 0.83642578125}, {"start": 363.57, "end": 363.87, "word": " نفترض", "probability": 0.622802734375}, {"start": 363.87, "end": 364.21, "word": " شروط", "probability": 0.8904622395833334}, {"start": 364.21, "end": 364.61, "word": " تبعتنا", "probability": 0.7872314453125}, {"start": 364.61, "end": 364.75, "word": " ال", "probability": 0.96240234375}, {"start": 364.75, "end": 365.09, "word": " integral", "probability": 0.6396484375}, {"start": 365.09, "end": 365.41, "word": " test", "probability": 0.74072265625}, {"start": 365.41, "end": 366.05, "word": " انطبقه", "probability": 0.89892578125}, {"start": 366.05, "end": 366.75, "word": " بروح", "probability": 0.9427083333333334}, {"start": 366.75, "end": 367.21, "word": " بجيب", "probability": 0.98193359375}, {"start": 367.21, "end": 367.39, "word": " إيش", "probability": 0.7671712239583334}, {"start": 367.39, "end": 368.49, "word": " التكامل", "probability": 0.96923828125}, {"start": 368.49, "end": 368.73, "word": " من", "probability": 0.93798828125}, {"start": 368.73, "end": 369.19, "word": " إتنين", "probability": 0.640869140625}, {"start": 369.19, "end": 369.45, "word": " طبعا", "probability": 0.88134765625}, {"start": 369.45, "end": 369.71, "word": " الشروط", "probability": 0.85302734375}, {"start": 369.71, "end": 370.07, "word": " انطبقت", "probability": 0.908935546875}, {"start": 370.07, "end": 370.23, "word": " من", "probability": 0.9794921875}, {"start": 370.23, "end": 370.55, "word": " الإتنين", "probability": 0.8702392578125}, {"start": 370.55, "end": 370.79, "word": " لما", "probability": 0.731689453125}, {"start": 370.79, "end": 371.19, "word": " لنهاية", "probability": 0.73818359375}, {"start": 371.19, "end": 371.63, "word": " فبنحط", "probability": 0.747265625}, {"start": 371.63, "end": 372.05, "word": " التكامل", "probability": 0.911376953125}, {"start": 372.05, "end": 372.19, "word": " من", "probability": 0.56396484375}, {"start": 372.19, "end": 372.35, "word": " إتنين", "probability": 0.684906005859375}, {"start": 372.35, "end": 372.57, "word": " لما", "probability": 0.966552734375}, {"start": 372.57, "end": 373.15, "word": " لنهاية", "probability": 0.93212890625}, {"start": 373.15, "end": 374.71, "word": " وDX", "probability": 0.697265625}, {"start": 374.71, "end": 374.93, "word": " على", "probability": 0.55419921875}, {"start": 374.93, "end": 375.21, "word": " X", "probability": 0.8017578125}, {"start": 375.21, "end": 375.47, "word": " لان", "probability": 0.61767578125}, {"start": 375.47, "end": 375.97, "word": " تكييب", "probability": 0.84951171875}, {"start": 375.97, "end": 376.25, "word": " X", "probability": 0.984375}, {"start": 376.25, "end": 376.91, "word": " طبعا", "probability": 0.9700927734375}, {"start": 376.91, "end": 377.21, "word": " هنا", "probability": 0.9794921875}, {"start": 377.21, "end": 378.05, "word": " شيلنا", "probability": 0.93408203125}, {"start": 378.05, "end": 378.19, "word": " N", "probability": 0.8984375}, {"start": 378.19, "end": 378.61, "word": " وحطنا", "probability": 0.77587890625}, {"start": 378.61, "end": 378.85, "word": " X", "probability": 0.99267578125}, {"start": 378.85, "end": 379.09, "word": " عشان", "probability": 0.9410807291666666}, {"start": 379.09, "end": 379.29, "word": " منها", "probability": 0.3577880859375}, {"start": 379.29, "end": 379.69, "word": " الكامل", "probability": 0.8992513020833334}], "temperature": 1.0}, {"id": 17, "seek": 41005, "start": 380.87, "end": 410.05, "text": "طبعا التكامل هذا بنحط هنا B و B تقولنا مال نهاية بنحوله لل limit و بعدين H بنكامل التكامل هذا اللي هو لو أخدنا U تساوي لن ال X دي U هتساوي دي X على X يعني التكامل تبعنا بيصير تكامل DU على U ككيب ناقص 1 ع 2 U و نحولها H لل X ناقص 1 ع 2 لن تربيع X إذن هي التكامل تبعي من 2 ل B بنعوض في ال B بالأول بنحط ال X بنشيلها و بدلها B و بعدين بنعوض H بال X تساوي 2", "tokens": [9566, 3555, 3615, 995, 16712, 4117, 10943, 1211, 23758, 44945, 5016, 9566, 34105, 363, 4032, 363, 6055, 39648, 8315, 3714, 6027, 8717, 11296, 10632, 44945, 5016, 12610, 3224, 24976, 4948, 4032, 39182, 9957, 389, 44945, 4117, 10943, 1211, 16712, 4117, 10943, 1211, 23758, 13672, 1829, 31439, 45164, 5551, 9778, 3215, 8315, 624, 6055, 3794, 995, 45865, 5296, 1863, 2423, 1783, 11778, 1829, 624, 8032, 2655, 3794, 995, 45865, 11778, 1829, 1783, 15844, 1783, 37495, 22653, 16712, 4117, 10943, 1211, 6055, 3555, 3615, 8315, 4724, 1829, 9381, 13546, 6055, 4117, 10943, 1211, 28423, 15844, 624, 9122, 4117, 1829, 3555, 8717, 995, 4587, 9381, 502, 6225, 568, 624, 4032, 8717, 5016, 12610, 11296, 389, 24976, 1783, 8717, 995, 4587, 9381, 502, 6225, 568, 5296, 1863, 6055, 25513, 40228, 1783, 11933, 8848, 1863, 39896, 16712, 4117, 10943, 1211, 6055, 3555, 3615, 1829, 9154, 568, 5296, 363, 44945, 3615, 2407, 11242, 8978, 2423, 363, 20666, 10721, 12610, 44945, 5016, 9566, 2423, 1783, 44945, 8592, 26895, 11296, 4032, 47525, 1211, 11296, 363, 4032, 39182, 9957, 44945, 3615, 2407, 11242, 389, 20666, 1783, 6055, 3794, 995, 45865, 568], "avg_logprob": -0.24590163950711652, "compression_ratio": 2.1350364963503647, "no_speech_prob": 1.7881393432617188e-06, "words": [{"start": 380.87, "end": 381.21, "word": "طبعا", "probability": 0.7908935546875}, {"start": 381.21, "end": 381.63, "word": " التكامل", "probability": 0.8902587890625}, {"start": 381.63, "end": 381.83, "word": " هذا", "probability": 0.481689453125}, {"start": 381.83, "end": 382.13, "word": " بنحط", "probability": 0.4476318359375}, {"start": 382.13, "end": 382.33, "word": " هنا", "probability": 0.89697265625}, {"start": 382.33, "end": 382.51, "word": " B", "probability": 0.1922607421875}, {"start": 382.51, "end": 382.67, "word": " و", "probability": 0.49658203125}, {"start": 382.67, "end": 382.89, "word": " B", "probability": 0.287841796875}, {"start": 382.89, "end": 383.29, "word": " تقولنا", "probability": 0.6271158854166666}, {"start": 383.29, "end": 383.47, "word": " مال", "probability": 0.775146484375}, {"start": 383.47, "end": 383.87, "word": " نهاية", "probability": 0.64794921875}, {"start": 383.87, "end": 384.37, "word": " بنحوله", "probability": 0.79254150390625}, {"start": 384.37, "end": 384.53, "word": " لل", "probability": 0.685546875}, {"start": 384.53, "end": 384.79, "word": " limit", "probability": 0.8369140625}, {"start": 384.79, "end": 385.91, "word": " و", "probability": 0.654296875}, {"start": 385.91, "end": 386.29, "word": " بعدين", "probability": 0.689208984375}, {"start": 386.29, "end": 386.47, "word": " H", "probability": 0.2841796875}, {"start": 386.47, "end": 387.01, "word": " بنكامل", "probability": 0.81610107421875}, {"start": 387.01, "end": 387.61, "word": " التكامل", "probability": 0.8973388671875}, {"start": 387.61, "end": 387.99, "word": " هذا", "probability": 0.83642578125}, {"start": 387.99, "end": 388.25, "word": " اللي", "probability": 0.8076171875}, {"start": 388.25, "end": 388.43, "word": " هو", "probability": 0.966796875}, {"start": 388.43, "end": 388.63, "word": " لو", "probability": 0.88916015625}, {"start": 388.63, "end": 389.07, "word": " أخدنا", "probability": 0.9541015625}, {"start": 389.07, "end": 389.27, "word": " U", "probability": 0.833984375}, {"start": 389.27, "end": 389.77, "word": " تساوي", "probability": 0.81256103515625}, {"start": 389.77, "end": 390.03, "word": " لن", "probability": 0.57177734375}, {"start": 390.03, "end": 390.19, "word": " ال", "probability": 0.48974609375}, {"start": 390.19, "end": 390.45, "word": " X", "probability": 0.93701171875}, {"start": 390.45, "end": 390.65, "word": " دي", "probability": 0.5892333984375}, {"start": 390.65, "end": 390.73, "word": " U", "probability": 0.6015625}, {"start": 390.73, "end": 391.13, "word": " هتساوي", "probability": 0.818310546875}, {"start": 391.13, "end": 391.27, "word": " دي", "probability": 0.728515625}, {"start": 391.27, "end": 391.47, "word": " X", "probability": 0.98828125}, {"start": 391.47, "end": 391.63, "word": " على", "probability": 0.712890625}, {"start": 391.63, "end": 391.93, "word": " X", "probability": 0.9951171875}, {"start": 391.93, "end": 392.49, "word": " يعني", "probability": 0.895263671875}, {"start": 392.49, "end": 392.97, "word": " التكامل", "probability": 0.9775390625}, {"start": 392.97, "end": 393.31, "word": " تبعنا", "probability": 0.9130859375}, {"start": 393.31, "end": 393.63, "word": " بيصير", "probability": 0.8516845703125}, {"start": 393.63, "end": 394.11, "word": " تكامل", "probability": 0.962646484375}, {"start": 394.11, "end": 394.35, "word": " DU", "probability": 0.51123046875}, {"start": 394.35, "end": 394.63, "word": " على", "probability": 0.70703125}, {"start": 394.63, "end": 394.95, "word": " U", "probability": 0.9892578125}, {"start": 394.95, "end": 395.75, "word": " ككيب", "probability": 0.66107177734375}, {"start": 395.75, "end": 396.91, "word": " ناقص", "probability": 0.9219970703125}, {"start": 396.91, "end": 397.15, "word": " 1", "probability": 0.403076171875}, {"start": 397.15, "end": 397.29, "word": " ع", "probability": 0.448486328125}, {"start": 397.29, "end": 397.59, "word": " 2", "probability": 0.93115234375}, {"start": 397.59, "end": 397.93, "word": " U", "probability": 0.50634765625}, {"start": 397.93, "end": 398.27, "word": " و", "probability": 0.966796875}, {"start": 398.27, "end": 398.77, "word": " نحولها", "probability": 0.84521484375}, {"start": 398.77, "end": 399.03, "word": " H", "probability": 0.95556640625}, {"start": 399.03, "end": 399.21, "word": " لل", "probability": 0.765625}, {"start": 399.21, "end": 399.47, "word": " X", "probability": 0.94482421875}, {"start": 399.47, "end": 399.79, "word": " ناقص", "probability": 0.9678955078125}, {"start": 399.79, "end": 399.97, "word": " 1", "probability": 0.93896484375}, {"start": 399.97, "end": 400.11, "word": " ع", "probability": 0.94677734375}, {"start": 400.11, "end": 400.39, "word": " 2", "probability": 0.9755859375}, {"start": 400.39, "end": 400.67, "word": " لن", "probability": 0.816162109375}, {"start": 400.67, "end": 401.09, "word": " تربيع", "probability": 0.7550455729166666}, {"start": 401.09, "end": 401.45, "word": " X", "probability": 0.99267578125}, {"start": 401.45, "end": 402.37, "word": " إذن", "probability": 0.7278645833333334}, {"start": 402.37, "end": 402.63, "word": " هي", "probability": 0.5302734375}, {"start": 402.63, "end": 403.11, "word": " التكامل", "probability": 0.991943359375}, {"start": 403.11, "end": 403.45, "word": " تبعي", "probability": 0.971923828125}, {"start": 403.45, "end": 403.61, "word": " من", "probability": 0.9921875}, {"start": 403.61, "end": 403.87, "word": " 2", "probability": 0.9580078125}, {"start": 403.87, "end": 404.01, "word": " ل", "probability": 0.90576171875}, {"start": 404.01, "end": 404.29, "word": " B", "probability": 0.6484375}, {"start": 404.29, "end": 405.33, "word": " بنعوض", "probability": 0.9075927734375}, {"start": 405.33, "end": 405.49, "word": " في", "probability": 0.9208984375}, {"start": 405.49, "end": 405.59, "word": " ال", "probability": 0.935546875}, {"start": 405.59, "end": 405.71, "word": " B", "probability": 0.7666015625}, {"start": 405.71, "end": 406.25, "word": " بالأول", "probability": 0.9326171875}, {"start": 406.25, "end": 406.73, "word": " بنحط", "probability": 0.801025390625}, {"start": 406.73, "end": 406.85, "word": " ال", "probability": 0.904296875}, {"start": 406.85, "end": 407.01, "word": " X", "probability": 0.9677734375}, {"start": 407.01, "end": 407.35, "word": " بنشيلها", "probability": 0.78802490234375}, {"start": 407.35, "end": 407.39, "word": " و", "probability": 0.91943359375}, {"start": 407.39, "end": 407.69, "word": " بدلها", "probability": 0.6765950520833334}, {"start": 407.69, "end": 407.83, "word": " B", "probability": 0.66357421875}, {"start": 407.83, "end": 407.93, "word": " و", "probability": 0.8818359375}, {"start": 407.93, "end": 408.21, "word": " بعدين", "probability": 0.97412109375}, {"start": 408.21, "end": 408.61, "word": " بنعوض", "probability": 0.95751953125}, {"start": 408.61, "end": 408.91, "word": " H", "probability": 0.8916015625}, {"start": 408.91, "end": 409.09, "word": " بال", "probability": 0.98095703125}, {"start": 409.09, "end": 409.25, "word": " X", "probability": 0.8564453125}, {"start": 409.25, "end": 409.75, "word": " تساوي", "probability": 0.88818359375}, {"start": 409.75, "end": 410.05, "word": " 2", "probability": 0.96533203125}], "temperature": 1.0}, {"id": 18, "seek": 43631, "start": 410.75, "end": 436.31, "text": "الـ Unlimited لما بيتقول لمالة نهاية لإن المالة نهاية مالة نهاية واحد ع مالة نهاية سفر يبقى هذا ال term limit له سفر بيظل إن هذا الرقم واحد ع اتنين لان تربية اتنين طبعا رقم عدد حقيقي إذا التكامل تبعي converge فبنقول by integral test the series تبعتنا converge سؤال اتنين test the summation n على n ترمي زائد واحد من n تسوى واحد لمالة نهاية for convergence", "tokens": [6027, 39184, 1156, 18692, 5296, 15042, 4724, 36081, 39648, 32767, 6027, 3660, 8717, 3224, 995, 10632, 5296, 28814, 1863, 9673, 6027, 3660, 8717, 3224, 995, 10632, 3714, 6027, 3660, 8717, 3224, 995, 10632, 36764, 24401, 6225, 3714, 6027, 3660, 8717, 11296, 10632, 8608, 5172, 2288, 7251, 3555, 4587, 7578, 23758, 2423, 1433, 4948, 46740, 8608, 5172, 2288, 4724, 1829, 19913, 1211, 36145, 23758, 34892, 4587, 2304, 36764, 24401, 6225, 1975, 2655, 1863, 9957, 5296, 7649, 6055, 25513, 10632, 1975, 2655, 1863, 9957, 23032, 3555, 3615, 995, 12602, 4587, 2304, 6225, 3215, 3215, 11331, 38436, 38436, 11933, 15730, 16712, 4117, 10943, 1211, 6055, 3555, 3615, 1829, 41881, 6156, 3555, 1863, 39648, 538, 11573, 1500, 264, 2638, 6055, 3555, 34268, 8315, 41881, 8608, 33604, 6027, 1975, 2655, 1863, 9957, 1500, 264, 28811, 297, 15844, 297, 6055, 2288, 2304, 1829, 30767, 16373, 3215, 36764, 24401, 9154, 297, 6055, 3794, 2407, 7578, 36764, 24401, 32767, 6027, 3660, 8717, 3224, 995, 10632, 337, 32181], "avg_logprob": -0.26953124105930326, "compression_ratio": 1.9963898916967509, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 410.75, "end": 411.29, "word": "الـ", "probability": 0.6007080078125}, {"start": 411.29, "end": 411.65, "word": " Unlimited", "probability": 0.69287109375}, {"start": 411.65, "end": 411.85, "word": " لما", "probability": 0.6824951171875}, {"start": 411.85, "end": 412.29, "word": " بيتقول", "probability": 0.7560221354166666}, {"start": 412.29, "end": 412.67, "word": " لمالة", "probability": 0.6857096354166666}, {"start": 412.67, "end": 413.07, "word": " نهاية", "probability": 0.7496337890625}, {"start": 413.07, "end": 413.35, "word": " لإن", "probability": 0.6792805989583334}, {"start": 413.35, "end": 413.75, "word": " المالة", "probability": 0.9161783854166666}, {"start": 413.75, "end": 413.97, "word": " نهاية", "probability": 0.9285888671875}, {"start": 413.97, "end": 414.25, "word": " مالة", "probability": 0.8974609375}, {"start": 414.25, "end": 414.49, "word": " نهاية", "probability": 0.9588623046875}, {"start": 414.49, "end": 414.79, "word": " واحد", "probability": 0.81884765625}, {"start": 414.79, "end": 414.87, "word": " ع", "probability": 0.802734375}, {"start": 414.87, "end": 415.09, "word": " مالة", "probability": 0.5624186197916666}, {"start": 415.09, "end": 415.29, "word": " نهاية", "probability": 0.8450520833333334}, {"start": 415.29, "end": 415.59, "word": " سفر", "probability": 0.88720703125}, {"start": 415.59, "end": 415.81, "word": " يبقى", "probability": 0.8870849609375}, {"start": 415.81, "end": 416.03, "word": " هذا", "probability": 0.87939453125}, {"start": 416.03, "end": 416.15, "word": " ال", "probability": 0.56396484375}, {"start": 416.15, "end": 416.31, "word": " term", "probability": 0.5390625}, {"start": 416.31, "end": 416.63, "word": " limit", "probability": 0.35546875}, {"start": 416.63, "end": 416.83, "word": " له", "probability": 0.5732421875}, {"start": 416.83, "end": 417.27, "word": " سفر", "probability": 0.9368489583333334}, {"start": 417.27, "end": 417.81, "word": " بيظل", "probability": 0.6737060546875}, {"start": 417.81, "end": 418.01, "word": " إن", "probability": 0.4873046875}, {"start": 418.01, "end": 418.41, "word": " هذا", "probability": 0.90478515625}, {"start": 418.41, "end": 419.09, "word": " الرقم", "probability": 0.96435546875}, {"start": 419.09, "end": 419.77, "word": " واحد", "probability": 0.87060546875}, {"start": 419.77, "end": 419.87, "word": " ع", "probability": 0.90771484375}, {"start": 419.87, "end": 420.17, "word": " اتنين", "probability": 0.7691650390625}, {"start": 420.17, "end": 420.43, "word": " لان", "probability": 0.65966796875}, {"start": 420.43, "end": 420.89, "word": " تربية", "probability": 0.7242024739583334}, {"start": 420.89, "end": 421.47, "word": " اتنين", "probability": 0.876220703125}, {"start": 421.47, "end": 421.85, "word": " طبعا", "probability": 0.9024658203125}, {"start": 421.85, "end": 422.21, "word": " رقم", "probability": 0.9671223958333334}, {"start": 422.21, "end": 422.55, "word": " عدد", "probability": 0.8497721354166666}, {"start": 422.55, "end": 423.11, "word": " حقيقي", "probability": 0.9772135416666666}, {"start": 423.11, "end": 423.65, "word": " إذا", "probability": 0.6611328125}, {"start": 423.65, "end": 424.21, "word": " التكامل", "probability": 0.9691162109375}, {"start": 424.21, "end": 424.57, "word": " تبعي", "probability": 0.8031005859375}, {"start": 424.57, "end": 425.25, "word": " converge", "probability": 0.85400390625}, {"start": 425.25, "end": 426.03, "word": " فبنقول", "probability": 0.63592529296875}, {"start": 426.03, "end": 426.23, "word": " by", "probability": 0.471435546875}, {"start": 426.23, "end": 426.67, "word": " integral", "probability": 0.70068359375}, {"start": 426.67, "end": 427.05, "word": " test", "probability": 0.89453125}, {"start": 427.05, "end": 427.23, "word": " the", "probability": 0.8173828125}, {"start": 427.23, "end": 427.61, "word": " series", "probability": 0.9287109375}, {"start": 427.61, "end": 428.09, "word": " تبعتنا", "probability": 0.8880615234375}, {"start": 428.09, "end": 428.79, "word": " converge", "probability": 0.7861328125}, {"start": 428.79, "end": 430.83, "word": " سؤال", "probability": 0.8885091145833334}, {"start": 430.83, "end": 431.55, "word": " اتنين", "probability": 0.8531494140625}, {"start": 431.55, "end": 431.85, "word": " test", "probability": 0.7490234375}, {"start": 431.85, "end": 432.03, "word": " the", "probability": 0.63037109375}, {"start": 432.03, "end": 432.55, "word": " summation", "probability": 0.8935546875}, {"start": 432.55, "end": 432.83, "word": " n", "probability": 0.55322265625}, {"start": 432.83, "end": 432.99, "word": " على", "probability": 0.55517578125}, {"start": 432.99, "end": 433.19, "word": " n", "probability": 0.8876953125}, {"start": 433.19, "end": 433.41, "word": " ترمي", "probability": 0.469940185546875}, {"start": 433.41, "end": 433.67, "word": " زائد", "probability": 0.5785319010416666}, {"start": 433.67, "end": 433.97, "word": " واحد", "probability": 0.965576171875}, {"start": 433.97, "end": 434.11, "word": " من", "probability": 0.97607421875}, {"start": 434.11, "end": 434.27, "word": " n", "probability": 0.794921875}, {"start": 434.27, "end": 434.51, "word": " تسوى", "probability": 0.58343505859375}, {"start": 434.51, "end": 434.77, "word": " واحد", "probability": 0.96728515625}, {"start": 434.77, "end": 435.15, "word": " لمالة", "probability": 0.9134114583333334}, {"start": 435.15, "end": 435.37, "word": " نهاية", "probability": 0.9595947265625}, {"start": 435.37, "end": 435.69, "word": " for", "probability": 0.88525390625}, {"start": 435.69, "end": 436.31, "word": " convergence", "probability": 0.94287109375}], "temperature": 1.0}, {"id": 19, "seek": 45122, "start": 436.96, "end": 451.22, "text": "طبعًا إحنا كمان يعني بنلاحظ على إنها دي بنطلّع عليها قبل ما نطبق الشروط، بنطلّع عليها هل هي تكاملها سهل؟ آه لإن ال bus تفاضل المقام، فتكاملها سهل، ان عقود مباشرة، و كذلك السؤال السابق", "tokens": [9566, 3555, 3615, 14111, 995, 11933, 5016, 8315, 9122, 2304, 7649, 37495, 22653, 44945, 15040, 5016, 19913, 15844, 36145, 11296, 11778, 1829, 44945, 9566, 1211, 11703, 3615, 25894, 11296, 12174, 36150, 19446, 8717, 9566, 3555, 4587, 25124, 32887, 9566, 12399, 44945, 9566, 1211, 11703, 3615, 25894, 11296, 8032, 1211, 39896, 6055, 4117, 10943, 1211, 11296, 8608, 3224, 1211, 22807, 19753, 3224, 5296, 28814, 1863, 2423, 1255, 6055, 5172, 46958, 1211, 9673, 4587, 10943, 12399, 6156, 2655, 4117, 10943, 1211, 11296, 8608, 3224, 1211, 12399, 16472, 6225, 4587, 23328, 3714, 3555, 33599, 25720, 12399, 4032, 9122, 8848, 23275, 21136, 33604, 6027, 21136, 16758, 4587], "avg_logprob": -0.21289062113142931, "compression_ratio": 1.7880434782608696, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 436.96, "end": 437.34, "word": "طبعًا", "probability": 0.7684814453125}, {"start": 437.34, "end": 437.68, "word": " إحنا", "probability": 0.8020833333333334}, {"start": 437.68, "end": 438.22, "word": " كمان", "probability": 0.8260091145833334}, {"start": 438.22, "end": 438.76, "word": " يعني", "probability": 0.853759765625}, {"start": 438.76, "end": 439.72, "word": " بنلاحظ", "probability": 0.98486328125}, {"start": 439.72, "end": 439.9, "word": " على", "probability": 0.84033203125}, {"start": 439.9, "end": 440.34, "word": " إنها", "probability": 0.445556640625}, {"start": 440.34, "end": 440.66, "word": " دي", "probability": 0.955078125}, {"start": 440.66, "end": 441.18, "word": " بنطلّع", "probability": 0.7298828125}, {"start": 441.18, "end": 441.44, "word": " عليها", "probability": 0.994140625}, {"start": 441.44, "end": 441.74, "word": " قبل", "probability": 0.9951171875}, {"start": 441.74, "end": 441.86, "word": " ما", "probability": 0.9013671875}, {"start": 441.86, "end": 442.3, "word": " نطبق", "probability": 0.8961181640625}, {"start": 442.3, "end": 443.24, "word": " الشروط،", "probability": 0.797119140625}, {"start": 443.24, "end": 443.68, "word": " بنطلّع", "probability": 0.90263671875}, {"start": 443.68, "end": 444.0, "word": " عليها", "probability": 0.9921875}, {"start": 444.0, "end": 444.2, "word": " هل", "probability": 0.923095703125}, {"start": 444.2, "end": 444.38, "word": " هي", "probability": 0.93798828125}, {"start": 444.38, "end": 445.0, "word": " تكاملها", "probability": 0.903515625}, {"start": 445.0, "end": 445.78, "word": " سهل؟", "probability": 0.90966796875}, {"start": 445.78, "end": 446.02, "word": " آه", "probability": 0.7095947265625}, {"start": 446.02, "end": 446.28, "word": " لإن", "probability": 0.8738606770833334}, {"start": 446.28, "end": 446.42, "word": " ال", "probability": 0.208740234375}, {"start": 446.42, "end": 446.54, "word": " bus", "probability": 0.796875}, {"start": 446.54, "end": 446.96, "word": " تفاضل", "probability": 0.7279052734375}, {"start": 446.96, "end": 447.4, "word": " المقام،", "probability": 0.802978515625}, {"start": 447.4, "end": 447.86, "word": " فتكاملها", "probability": 0.9573567708333334}, {"start": 447.86, "end": 448.28, "word": " سهل،", "probability": 0.826171875}, {"start": 448.28, "end": 448.36, "word": " ان", "probability": 0.57470703125}, {"start": 448.36, "end": 448.68, "word": " عقود", "probability": 0.580078125}, {"start": 448.68, "end": 449.62, "word": " مباشرة،", "probability": 0.8501953125}, {"start": 449.62, "end": 449.68, "word": " و", "probability": 0.9501953125}, {"start": 449.68, "end": 450.0, "word": " كذلك", "probability": 0.8854166666666666}, {"start": 450.0, "end": 450.48, "word": " السؤال", "probability": 0.9894205729166666}, {"start": 450.48, "end": 451.22, "word": " السابق", "probability": 0.98681640625}], "temperature": 1.0}, {"id": 20, "seek": 47592, "start": 451.94, "end": 475.92, "text": "الان بروح بنحوّل الـ N لـ F of N N على N تربيه زائد واحد و N أكبر أو سوء واحد حسب البداية من هنا الان الشروط تنطبق على أي رقم بعد الواحد بيكون إيش الشروط منطبقة أول إشي F of N أكبر من سفر واضح لإن الـ N موجبة F of N continuous for all N لإن المقام لا يساوي سفر F prime of N يساوي هذا مقام تربيه مقام في تفاضل المقام ناطق ال bus في تفاضل المقام", "tokens": [6027, 7649, 4724, 32887, 5016, 44945, 5016, 2407, 11703, 1211, 2423, 39184, 426, 5296, 39184, 479, 295, 426, 426, 15844, 426, 6055, 2288, 21292, 3224, 30767, 16373, 3215, 36764, 24401, 4032, 426, 5551, 4117, 26890, 34051, 8608, 2407, 38207, 36764, 24401, 11331, 35457, 29739, 28259, 10632, 9154, 34105, 2423, 7649, 25124, 32887, 9566, 6055, 1863, 9566, 3555, 4587, 15844, 36632, 12602, 4587, 2304, 39182, 2423, 14407, 24401, 4724, 1829, 30544, 11933, 1829, 8592, 25124, 32887, 9566, 9154, 9566, 3555, 28671, 5551, 12610, 11933, 8592, 1829, 479, 295, 426, 5551, 4117, 26890, 9154, 8608, 5172, 2288, 4032, 46958, 5016, 5296, 28814, 1863, 2423, 39184, 426, 3714, 29245, 49401, 479, 295, 426, 10957, 337, 439, 426, 5296, 28814, 1863, 9673, 4587, 10943, 20193, 7251, 3794, 995, 45865, 8608, 5172, 2288, 479, 5835, 295, 426, 7251, 3794, 995, 45865, 23758, 3714, 4587, 10943, 6055, 2288, 21292, 3224, 3714, 4587, 10943, 8978, 6055, 5172, 46958, 1211, 9673, 4587, 10943, 8717, 41193, 4587, 2423, 1255, 8978, 6055, 5172, 46958, 1211, 9673, 4587, 10943], "avg_logprob": -0.23335798675491964, "compression_ratio": 1.9344827586206896, "no_speech_prob": 0.0, "words": [{"start": 451.94, "end": 452.46, "word": "الان", "probability": 0.70703125}, {"start": 452.46, "end": 452.84, "word": " بروح", "probability": 0.7101236979166666}, {"start": 452.84, "end": 453.28, "word": " بنحوّل", "probability": 0.726611328125}, {"start": 453.28, "end": 453.48, "word": " الـ", "probability": 0.459320068359375}, {"start": 453.48, "end": 453.62, "word": " N", "probability": 0.097412109375}, {"start": 453.62, "end": 453.98, "word": " لـ", "probability": 0.298095703125}, {"start": 453.98, "end": 454.1, "word": " F", "probability": 0.51953125}, {"start": 454.1, "end": 454.26, "word": " of", "probability": 0.568359375}, {"start": 454.26, "end": 454.5, "word": " N", "probability": 0.9384765625}, {"start": 454.5, "end": 454.76, "word": " N", "probability": 0.1871337890625}, {"start": 454.76, "end": 454.92, "word": " على", "probability": 0.7265625}, {"start": 454.92, "end": 455.1, "word": " N", "probability": 0.93603515625}, {"start": 455.1, "end": 455.36, "word": " تربيه", "probability": 0.8880615234375}, {"start": 455.36, "end": 455.6, "word": " زائد", "probability": 0.7989908854166666}, {"start": 455.6, "end": 455.9, "word": " واحد", "probability": 0.92578125}, {"start": 455.9, "end": 456.06, "word": " و", "probability": 0.80615234375}, {"start": 456.06, "end": 456.18, "word": " N", "probability": 0.6376953125}, {"start": 456.18, "end": 456.52, "word": " أكبر", "probability": 0.92578125}, {"start": 456.52, "end": 456.7, "word": " أو", "probability": 0.74462890625}, {"start": 456.7, "end": 456.98, "word": " سوء", "probability": 0.5569661458333334}, {"start": 456.98, "end": 457.28, "word": " واحد", "probability": 0.981689453125}, {"start": 457.28, "end": 457.72, "word": " حسب", "probability": 0.9013671875}, {"start": 457.72, "end": 458.24, "word": " البداية", "probability": 0.9593098958333334}, {"start": 458.24, "end": 458.38, "word": " من", "probability": 0.9599609375}, {"start": 458.38, "end": 458.64, "word": " هنا", "probability": 0.99365234375}, {"start": 458.64, "end": 459.4, "word": " الان", "probability": 0.4793701171875}, {"start": 459.4, "end": 460.3, "word": " الشروط", "probability": 0.8470052083333334}, {"start": 460.3, "end": 460.76, "word": " تنطبق", "probability": 0.8123046875}, {"start": 460.76, "end": 460.98, "word": " على", "probability": 0.84521484375}, {"start": 460.98, "end": 461.24, "word": " أي", "probability": 0.84716796875}, {"start": 461.24, "end": 461.62, "word": " رقم", "probability": 0.99658203125}, {"start": 461.62, "end": 461.86, "word": " بعد", "probability": 0.96044921875}, {"start": 461.86, "end": 462.46, "word": " الواحد", "probability": 0.9443359375}, {"start": 462.46, "end": 463.04, "word": " بيكون", "probability": 0.67138671875}, {"start": 463.04, "end": 463.34, "word": " إيش", "probability": 0.609619140625}, {"start": 463.34, "end": 463.74, "word": " الشروط", "probability": 0.93115234375}, {"start": 463.74, "end": 464.3, "word": " منطبقة", "probability": 0.9156494140625}, {"start": 464.3, "end": 464.72, "word": " أول", "probability": 0.846923828125}, {"start": 464.72, "end": 464.9, "word": " إشي", "probability": 0.632568359375}, {"start": 464.9, "end": 465.04, "word": " F", "probability": 0.8681640625}, {"start": 465.04, "end": 465.18, "word": " of", "probability": 0.9599609375}, {"start": 465.18, "end": 465.28, "word": " N", "probability": 0.990234375}, {"start": 465.28, "end": 465.58, "word": " أكبر", "probability": 0.9713541666666666}, {"start": 465.58, "end": 465.72, "word": " من", "probability": 0.9892578125}, {"start": 465.72, "end": 466.0, "word": " سفر", "probability": 0.7174479166666666}, {"start": 466.0, "end": 466.32, "word": " واضح", "probability": 0.9671223958333334}, {"start": 466.32, "end": 466.58, "word": " لإن", "probability": 0.9093424479166666}, {"start": 466.58, "end": 466.78, "word": " الـ", "probability": 0.788330078125}, {"start": 466.78, "end": 466.86, "word": " N", "probability": 0.775390625}, {"start": 466.86, "end": 467.34, "word": " موجبة", "probability": 0.9500325520833334}, {"start": 467.34, "end": 467.94, "word": " F", "probability": 0.81494140625}, {"start": 467.94, "end": 468.1, "word": " of", "probability": 0.962890625}, {"start": 468.1, "end": 468.24, "word": " N", "probability": 0.99169921875}, {"start": 468.24, "end": 468.68, "word": " continuous", "probability": 0.7919921875}, {"start": 468.68, "end": 468.94, "word": " for", "probability": 0.94384765625}, {"start": 468.94, "end": 469.12, "word": " all", "probability": 0.83544921875}, {"start": 469.12, "end": 469.28, "word": " N", "probability": 0.89013671875}, {"start": 469.28, "end": 469.52, "word": " لإن", "probability": 0.9417317708333334}, {"start": 469.52, "end": 469.86, "word": " المقام", "probability": 0.9899088541666666}, {"start": 469.86, "end": 470.0, "word": " لا", "probability": 0.7744140625}, {"start": 470.0, "end": 470.3, "word": " يساوي", "probability": 0.8804931640625}, {"start": 470.3, "end": 470.7, "word": " سفر", "probability": 0.9775390625}, {"start": 470.7, "end": 471.16, "word": " F", "probability": 0.89208984375}, {"start": 471.16, "end": 471.48, "word": " prime", "probability": 0.65673828125}, {"start": 471.48, "end": 471.72, "word": " of", "probability": 0.97705078125}, {"start": 471.72, "end": 471.9, "word": " N", "probability": 0.96533203125}, {"start": 471.9, "end": 472.42, "word": " يساوي", "probability": 0.9691162109375}, {"start": 472.42, "end": 472.68, "word": " هذا", "probability": 0.87109375}, {"start": 472.68, "end": 473.0, "word": " مقام", "probability": 0.9739583333333334}, {"start": 473.0, "end": 473.34, "word": " تربيه", "probability": 0.9493408203125}, {"start": 473.34, "end": 473.58, "word": " مقام", "probability": 0.9851888020833334}, {"start": 473.58, "end": 473.72, "word": " في", "probability": 0.7646484375}, {"start": 473.72, "end": 474.06, "word": " تفاضل", "probability": 0.829833984375}, {"start": 474.06, "end": 474.22, "word": " المقام", "probability": 0.7209065755208334}, {"start": 474.22, "end": 474.58, "word": " ناطق", "probability": 0.7244466145833334}, {"start": 474.58, "end": 474.72, "word": " ال", "probability": 0.77294921875}, {"start": 474.72, "end": 474.84, "word": " bus", "probability": 0.50537109375}, {"start": 474.84, "end": 475.0, "word": " في", "probability": 0.74267578125}, {"start": 475.0, "end": 475.38, "word": " تفاضل", "probability": 0.9854736328125}, {"start": 475.38, "end": 475.92, "word": " المقام", "probability": 0.9962565104166666}], "temperature": 1.0}, {"id": 21, "seek": 50554, "start": 476.18, "end": 505.54, "text": "يعني ال bus تبعنا واحد ناقص N تربيع طبعا ال N لما تكون واحد بيصير هذا سفر أكبر من الواحد بيصير هذا ال bus إياش سالف يبقى ال N أكبر من واحد يعني N أكبر أو يساوي الإثنين بتكون هذا إياش سالف طبعا بدناش يساوي سفر بدنا أقل من سفر مش يساوي سفر وبالتالي بناخد ال N من وين من الإثنين إذا الشروط هذه تنطبط تبعتي لأي N أكبر من أو يساوي الإثنين أكبر أو يساوي الإثنين إذا بدنا نبدأ التكامل تبعي إذا ممكن نستخدم ال integral test", "tokens": [40228, 22653, 2423, 1255, 6055, 3555, 3615, 8315, 36764, 24401, 8717, 995, 4587, 9381, 426, 6055, 25513, 40228, 23032, 3555, 3615, 995, 2423, 426, 5296, 15042, 6055, 30544, 36764, 24401, 4724, 1829, 9381, 13546, 23758, 8608, 5172, 2288, 5551, 4117, 26890, 9154, 2423, 14407, 24401, 4724, 1829, 9381, 13546, 23758, 2423, 1255, 11933, 1829, 33599, 8608, 6027, 5172, 7251, 3555, 4587, 7578, 2423, 426, 5551, 4117, 26890, 9154, 36764, 24401, 37495, 22653, 426, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 33688, 12984, 1863, 9957, 39894, 30544, 23758, 11933, 1829, 33599, 8608, 6027, 5172, 23032, 3555, 3615, 995, 47525, 8315, 8592, 7251, 3794, 995, 45865, 8608, 5172, 2288, 47525, 8315, 5551, 4587, 1211, 9154, 8608, 5172, 2288, 37893, 7251, 3794, 995, 45865, 8608, 5172, 2288, 46599, 6027, 2655, 6027, 1829, 44945, 47283, 3215, 2423, 426, 9154, 4032, 9957, 9154, 33688, 12984, 1863, 9957, 11933, 15730, 25124, 32887, 9566, 29538, 6055, 1863, 9566, 3555, 9566, 6055, 3555, 3615, 31371, 5296, 10721, 1829, 426, 5551, 4117, 26890, 9154, 34051, 7251, 3794, 995, 45865, 33688, 12984, 1863, 9957, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 33688, 12984, 1863, 9957, 11933, 15730, 47525, 8315, 8717, 44510, 10721, 16712, 4117, 10943, 1211, 6055, 3555, 3615, 1829, 11933, 15730, 3714, 43020, 8717, 14851, 9778, 40448, 2423, 11573, 1500], "avg_logprob": -0.16369743129917394, "compression_ratio": 2.4372881355932203, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 476.18, "end": 476.7, "word": "يعني", "probability": 0.821533203125}, {"start": 476.7, "end": 476.84, "word": " ال", "probability": 0.6123046875}, {"start": 476.84, "end": 477.0, "word": " bus", "probability": 0.189208984375}, {"start": 477.0, "end": 477.34, "word": " تبعنا", "probability": 0.534271240234375}, {"start": 477.34, "end": 477.62, "word": " واحد", "probability": 0.6715087890625}, {"start": 477.62, "end": 477.96, "word": " ناقص", "probability": 0.8936767578125}, {"start": 477.96, "end": 478.14, "word": " N", "probability": 0.29296875}, {"start": 478.14, "end": 478.54, "word": " تربيع", "probability": 0.4707845052083333}, {"start": 478.54, "end": 479.22, "word": " طبعا", "probability": 0.85528564453125}, {"start": 479.22, "end": 479.36, "word": " ال", "probability": 0.90478515625}, {"start": 479.36, "end": 479.46, "word": " N", "probability": 0.6689453125}, {"start": 479.46, "end": 479.7, "word": " لما", "probability": 0.892822265625}, {"start": 479.7, "end": 480.06, "word": " تكون", "probability": 0.956298828125}, {"start": 480.06, "end": 480.56, "word": " واحد", "probability": 0.982177734375}, {"start": 480.56, "end": 480.82, "word": " بيصير", "probability": 0.7674560546875}, {"start": 480.82, "end": 481.0, "word": " هذا", "probability": 0.86376953125}, {"start": 481.0, "end": 481.62, "word": " سفر", "probability": 0.9054361979166666}, {"start": 481.62, "end": 482.16, "word": " أكبر", "probability": 0.908203125}, {"start": 482.16, "end": 482.34, "word": " من", "probability": 0.99169921875}, {"start": 482.34, "end": 482.78, "word": " الواحد", "probability": 0.7950846354166666}, {"start": 482.78, "end": 483.12, "word": " بيصير", "probability": 0.9345703125}, {"start": 483.12, "end": 483.34, "word": " هذا", "probability": 0.958984375}, {"start": 483.34, "end": 483.46, "word": " ال", "probability": 0.92919921875}, {"start": 483.46, "end": 483.66, "word": " bus", "probability": 0.95263671875}, {"start": 483.66, "end": 484.02, "word": " إياش", "probability": 0.6767171223958334}, {"start": 484.02, "end": 484.52, "word": " سالف", "probability": 0.9080403645833334}, {"start": 484.52, "end": 484.74, "word": " يبقى", "probability": 0.925048828125}, {"start": 484.74, "end": 484.84, "word": " ال", "probability": 0.9775390625}, {"start": 484.84, "end": 484.98, "word": " N", "probability": 0.93603515625}, {"start": 484.98, "end": 485.36, "word": " أكبر", "probability": 0.9794921875}, {"start": 485.36, "end": 485.52, "word": " من", "probability": 0.9921875}, {"start": 485.52, "end": 485.82, "word": " واحد", "probability": 0.971923828125}, {"start": 485.82, "end": 486.06, "word": " يعني", "probability": 0.9404296875}, {"start": 486.06, "end": 486.28, "word": " N", "probability": 0.83056640625}, {"start": 486.28, "end": 486.64, "word": " أكبر", "probability": 0.9680989583333334}, {"start": 486.64, "end": 486.8, "word": " أو", "probability": 0.91162109375}, {"start": 486.8, "end": 487.02, "word": " يساوي", "probability": 0.8704833984375}, {"start": 487.02, "end": 487.48, "word": " الإثنين", "probability": 0.79364013671875}, {"start": 487.48, "end": 488.6, "word": " بتكون", "probability": 0.77685546875}, {"start": 488.6, "end": 488.9, "word": " هذا", "probability": 0.9267578125}, {"start": 488.9, "end": 489.2, "word": " إياش", "probability": 0.9632161458333334}, {"start": 489.2, "end": 490.2, "word": " سالف", "probability": 0.9928385416666666}, {"start": 490.2, "end": 490.48, "word": " طبعا", "probability": 0.9669189453125}, {"start": 490.48, "end": 490.8, "word": " بدناش", "probability": 0.5677083333333334}, {"start": 490.8, "end": 491.12, "word": " يساوي", "probability": 0.90087890625}, {"start": 491.12, "end": 491.34, "word": " سفر", "probability": 0.9635416666666666}, {"start": 491.34, "end": 491.58, "word": " بدنا", "probability": 0.836669921875}, {"start": 491.58, "end": 491.84, "word": " أقل", "probability": 0.9807942708333334}, {"start": 491.84, "end": 491.98, "word": " من", "probability": 0.99072265625}, {"start": 491.98, "end": 492.26, "word": " سفر", "probability": 0.9723307291666666}, {"start": 492.26, "end": 492.68, "word": " مش", "probability": 0.73876953125}, {"start": 492.68, "end": 493.16, "word": " يساوي", "probability": 0.9881591796875}, {"start": 493.16, "end": 493.48, "word": " سفر", "probability": 0.9908854166666666}, {"start": 493.48, "end": 493.86, "word": " وبالتالي", "probability": 0.883203125}, {"start": 493.86, "end": 494.26, "word": " بناخد", "probability": 0.9375}, {"start": 494.26, "end": 494.4, "word": " ال", "probability": 0.9765625}, {"start": 494.4, "end": 494.54, "word": " N", "probability": 0.9296875}, {"start": 494.54, "end": 494.74, "word": " من", "probability": 0.9833984375}, {"start": 494.74, "end": 495.12, "word": " وين", "probability": 0.59033203125}, {"start": 495.12, "end": 495.3, "word": " من", "probability": 0.9453125}, {"start": 495.3, "end": 495.74, "word": " الإثنين", "probability": 0.9267578125}, {"start": 495.74, "end": 496.18, "word": " إذا", "probability": 0.760986328125}, {"start": 496.18, "end": 496.62, "word": " الشروط", "probability": 0.9222005208333334}, {"start": 496.62, "end": 496.82, "word": " هذه", "probability": 0.8017578125}, {"start": 496.82, "end": 497.3, "word": " تنطبط", "probability": 0.74033203125}, {"start": 497.3, "end": 497.76, "word": " تبعتي", "probability": 0.9168701171875}, {"start": 497.76, "end": 498.58, "word": " لأي", "probability": 0.9264322916666666}, {"start": 498.58, "end": 498.98, "word": " N", "probability": 0.93798828125}, {"start": 498.98, "end": 499.46, "word": " أكبر", "probability": 0.9794921875}, {"start": 499.46, "end": 499.8, "word": " من", "probability": 0.7998046875}, {"start": 499.8, "end": 500.14, "word": " أو", "probability": 0.95556640625}, {"start": 500.14, "end": 500.48, "word": " يساوي", "probability": 0.9852294921875}, {"start": 500.48, "end": 500.9, "word": " الإثنين", "probability": 0.9678955078125}, {"start": 500.9, "end": 501.4, "word": " أكبر", "probability": 0.8680013020833334}, {"start": 501.4, "end": 501.52, "word": " أو", "probability": 0.88134765625}, {"start": 501.52, "end": 501.66, "word": " يساوي", "probability": 0.9346923828125}, {"start": 501.66, "end": 501.74, "word": " الإثنين", "probability": 0.9149169921875}, {"start": 501.74, "end": 501.94, "word": " إذا", "probability": 0.908447265625}, {"start": 501.94, "end": 502.18, "word": " بدنا", "probability": 0.791748046875}, {"start": 502.18, "end": 502.48, "word": " نبدأ", "probability": 0.9939778645833334}, {"start": 502.48, "end": 503.04, "word": " التكامل", "probability": 0.967529296875}, {"start": 503.04, "end": 503.72, "word": " تبعي", "probability": 0.8985595703125}, {"start": 503.72, "end": 503.9, "word": " إذا", "probability": 0.96826171875}, {"start": 503.9, "end": 504.14, "word": " ممكن", "probability": 0.98779296875}, {"start": 504.14, "end": 504.6, "word": " نستخدم", "probability": 0.884033203125}, {"start": 504.6, "end": 504.72, "word": " ال", "probability": 0.9814453125}, {"start": 504.72, "end": 505.08, "word": " integral", "probability": 0.5986328125}, {"start": 505.08, "end": 505.54, "word": " test", "probability": 0.9365234375}], "temperature": 1.0}, {"id": 22, "seek": 52708, "start": 505.94, "end": 527.08, "text": "بنجيب التكامل التكامل من حيث الشروط انطبقت اللي هو من اتنين الى مالة نهاية بنشيل مالة نهاية من حيث الشروط انطبقت اللي هو من اتنين الى مالة نهاية بنشيل مالة نهاية من حيث الشروط انطبقت اللي هو من اتنين الى مالة نهاية بنشيل مالة نهاية من حيث الشروط انطبقت اللي هو من اتنين الى مالة نهاية بنشيل مالة نهاية من حيث الشروط انطبقت اللي هو من اتنين الى مالة نهاية بنشيل مالة نهاية من حيث الشروط انطبقت اللي هو من اتنين الى مالة نهاية بنشيل م", "tokens": [3555, 1863, 7435, 1829, 3555, 16712, 4117, 10943, 1211, 16712, 4117, 10943, 1211, 9154, 11331, 1829, 12984, 25124, 32887, 9566, 16472, 9566, 3555, 38149, 13672, 1829, 31439, 9154, 1975, 2655, 1863, 9957, 2423, 7578, 3714, 6027, 3660, 8717, 11296, 10632, 44945, 8592, 26895, 3714, 6027, 3660, 8717, 11296, 10632, 9154, 11331, 1829, 12984, 25124, 32887, 9566, 16472, 9566, 3555, 38149, 13672, 1829, 31439, 9154, 1975, 2655, 1863, 9957, 2423, 7578, 3714, 6027, 3660, 8717, 11296, 10632, 44945, 8592, 26895, 3714, 6027, 3660, 8717, 11296, 10632, 9154, 11331, 1829, 12984, 25124, 32887, 9566, 16472, 9566, 3555, 38149, 13672, 1829, 31439, 9154, 1975, 2655, 1863, 9957, 2423, 7578, 3714, 6027, 3660, 8717, 11296, 10632, 44945, 8592, 26895, 3714, 6027, 3660, 8717, 11296, 10632, 9154, 11331, 1829, 12984, 25124, 32887, 9566, 16472, 9566, 3555, 38149, 13672, 1829, 31439, 9154, 1975, 2655, 1863, 9957, 2423, 7578, 3714, 6027, 3660, 8717, 11296, 10632, 44945, 8592, 26895, 3714, 6027, 3660, 8717, 11296, 10632, 9154, 11331, 1829, 12984, 25124, 32887, 9566, 16472, 9566, 3555, 38149, 13672, 1829, 31439, 9154, 1975, 2655, 1863, 9957, 2423, 7578, 3714, 6027, 3660, 8717, 11296, 10632, 44945, 8592, 26895, 3714, 6027, 3660, 8717, 11296, 10632, 9154, 11331, 1829, 12984, 25124, 32887, 9566, 16472, 9566, 3555, 38149, 13672, 1829, 31439, 9154, 1975, 2655, 1863, 9957, 2423, 7578, 3714, 6027, 3660, 8717, 11296, 10632, 44945, 8592, 26895, 3714], "avg_logprob": -0.15416666454739042, "compression_ratio": 7.212962962962963, "no_speech_prob": 2.86102294921875e-06, "words": [{"start": 505.94, "end": 506.64, "word": "بنجيب", "probability": 0.77216796875}, {"start": 506.64, "end": 507.18, "word": " التكامل", "probability": 0.9375}, {"start": 507.18, "end": 507.72, "word": " التكامل", "probability": 0.7407379150390625}, {"start": 507.72, "end": 507.9, "word": " من", "probability": 0.150146484375}, {"start": 507.9, "end": 511.4, "word": " حيث", "probability": 0.7815755208333334}, {"start": 511.4, "end": 511.76, "word": " الشروط", "probability": 0.8855794270833334}, {"start": 511.76, "end": 512.26, "word": " انطبقت", "probability": 0.67413330078125}, {"start": 512.26, "end": 512.48, "word": " اللي", "probability": 0.422210693359375}, {"start": 512.48, "end": 512.58, "word": " هو", "probability": 0.59814453125}, {"start": 512.58, "end": 512.68, "word": " من", "probability": 0.94970703125}, {"start": 512.68, "end": 512.96, "word": " اتنين", "probability": 0.7408447265625}, {"start": 512.96, "end": 513.58, "word": " الى", "probability": 0.824951171875}, {"start": 513.58, "end": 514.06, "word": " مالة", "probability": 0.6827799479166666}, {"start": 514.06, "end": 514.6, "word": " نهاية", "probability": 0.8909505208333334}, {"start": 514.6, "end": 515.24, "word": " بنشيل", "probability": 0.526123046875}, {"start": 515.24, "end": 515.48, "word": " مالة", "probability": 0.8253580729166666}, {"start": 515.48, "end": 515.54, "word": " نهاية", "probability": 0.7916666666666666}, {"start": 515.54, "end": 515.64, "word": " من", "probability": 0.1025390625}, {"start": 515.64, "end": 515.82, "word": " حيث", "probability": 0.8570963541666666}, {"start": 515.82, "end": 515.82, "word": " الشروط", "probability": 0.7517903645833334}, {"start": 515.82, "end": 516.22, "word": " انطبقت", "probability": 0.8426513671875}, {"start": 516.22, "end": 516.28, "word": " اللي", "probability": 0.796875}, {"start": 516.28, "end": 516.28, "word": " هو", "probability": 0.86328125}, {"start": 516.28, "end": 516.28, "word": " من", "probability": 0.859375}, {"start": 516.28, "end": 516.28, "word": " اتنين", "probability": 0.972900390625}, {"start": 516.28, "end": 516.28, "word": " الى", "probability": 0.982666015625}, {"start": 516.28, "end": 516.28, "word": " مالة", "probability": 0.9651692708333334}, {"start": 516.28, "end": 516.28, "word": " نهاية", "probability": 0.9306640625}, {"start": 516.28, "end": 516.28, "word": " بنشيل", "probability": 0.7132161458333334}, {"start": 516.28, "end": 516.28, "word": " مالة", "probability": 0.9278971354166666}, {"start": 516.28, "end": 516.44, "word": " نهاية", "probability": 0.9754231770833334}, {"start": 516.44, "end": 516.44, "word": " من", "probability": 0.8408203125}, {"start": 516.44, "end": 516.44, "word": " حيث", "probability": 0.9830729166666666}, {"start": 516.44, "end": 516.44, "word": " الشروط", "probability": 0.9703776041666666}, {"start": 516.44, "end": 516.44, "word": " انطبقت", "probability": 0.9703369140625}, {"start": 516.44, "end": 516.44, "word": " اللي", "probability": 0.98974609375}, {"start": 516.44, "end": 516.44, "word": " هو", "probability": 0.9248046875}, {"start": 516.44, "end": 516.44, "word": " من", "probability": 0.9892578125}, {"start": 516.44, "end": 516.44, "word": " اتنين", "probability": 0.98193359375}, {"start": 516.44, "end": 516.44, "word": " الى", "probability": 0.9873046875}, {"start": 516.44, "end": 516.44, "word": " مالة", "probability": 0.9757486979166666}, {"start": 516.44, "end": 516.44, "word": " نهاية", "probability": 0.9303385416666666}, {"start": 516.44, "end": 517.12, "word": " بنشيل", "probability": 0.8077799479166666}, {"start": 517.12, "end": 517.12, "word": " مالة", "probability": 0.9638671875}, {"start": 517.12, "end": 517.12, "word": " نهاية", "probability": 0.9832356770833334}, {"start": 517.12, "end": 517.12, "word": " من", "probability": 0.94287109375}, {"start": 517.12, "end": 517.12, "word": " حيث", "probability": 0.9886067708333334}, {"start": 517.12, "end": 517.12, "word": " الشروط", "probability": 0.9723307291666666}, {"start": 517.12, "end": 517.16, "word": " انطبقت", "probability": 0.9810791015625}, {"start": 517.16, "end": 517.16, "word": " اللي", "probability": 0.99169921875}, {"start": 517.16, "end": 517.16, "word": " هو", "probability": 0.94921875}, {"start": 517.16, "end": 517.16, "word": " من", "probability": 0.99169921875}, {"start": 517.16, "end": 517.16, "word": " اتنين", "probability": 0.9739990234375}, {"start": 517.16, "end": 517.2, "word": " الى", "probability": 0.981689453125}, {"start": 517.2, "end": 517.44, "word": " مالة", "probability": 0.9781901041666666}, {"start": 517.44, "end": 517.88, "word": " نهاية", "probability": 0.93017578125}, {"start": 517.88, "end": 520.96, "word": " بنشيل", "probability": 0.8331705729166666}, {"start": 520.96, "end": 521.06, "word": " مالة", "probability": 0.9736328125}, {"start": 521.06, "end": 521.7, "word": " نهاية", "probability": 0.978515625}, {"start": 521.7, "end": 521.78, "word": " من", "probability": 0.94970703125}, {"start": 521.78, "end": 522.24, "word": " حيث", "probability": 0.99169921875}, {"start": 522.24, "end": 522.32, "word": " الشروط", "probability": 0.96875}, {"start": 522.32, "end": 522.68, "word": " انطبقت", "probability": 0.98095703125}, {"start": 522.68, "end": 522.68, "word": " اللي", "probability": 0.990966796875}, {"start": 522.68, "end": 522.68, "word": " هو", "probability": 0.9658203125}, {"start": 522.68, "end": 522.68, "word": " من", "probability": 0.99267578125}, {"start": 522.68, "end": 523.16, "word": " اتنين", "probability": 0.965576171875}, {"start": 523.16, "end": 523.78, "word": " الى", "probability": 0.97998046875}, {"start": 523.78, "end": 524.12, "word": " مالة", "probability": 0.9801432291666666}, {"start": 524.12, "end": 524.72, "word": " نهاية", "probability": 0.9295247395833334}, {"start": 524.72, "end": 525.04, "word": " بنشيل", "probability": 0.8583984375}, {"start": 525.04, "end": 525.04, "word": " مالة", "probability": 0.97314453125}, {"start": 525.04, "end": 525.04, "word": " نهاية", "probability": 0.9752604166666666}, {"start": 525.04, "end": 525.04, "word": " من", "probability": 0.9462890625}, {"start": 525.04, "end": 525.04, "word": " حيث", "probability": 0.9944661458333334}, {"start": 525.04, "end": 525.04, "word": " الشروط", "probability": 0.95654296875}, {"start": 525.04, "end": 525.04, "word": " انطبقت", "probability": 0.9783935546875}, {"start": 525.04, "end": 525.04, "word": " اللي", "probability": 0.988037109375}, {"start": 525.04, "end": 525.04, "word": " هو", "probability": 0.9658203125}, {"start": 525.04, "end": 525.04, "word": " من", "probability": 0.99267578125}, {"start": 525.04, "end": 525.4, "word": " اتنين", "probability": 0.9571533203125}, {"start": 525.4, "end": 525.9, "word": " الى", "probability": 0.97998046875}, {"start": 525.9, "end": 526.22, "word": " مالة", "probability": 0.984375}, {"start": 526.22, "end": 526.56, "word": " نهاية", "probability": 0.9280598958333334}, {"start": 526.56, "end": 526.9, "word": " بنشيل", "probability": 0.8714192708333334}, {"start": 526.9, "end": 527.08, "word": " م", "probability": 0.9326171875}], "temperature": 1.0}, {"id": 23, "seek": 55235, "start": 528.79, "end": 552.35, "text": "من 2 إلى B بنعوض بالـ B بالأول بس الـ B تربية زائد واحد وبعدين بنعوض بالاثنين اتنين تربية أربعة و واحد خمسة يعني لن إيش الخمسة ال unlimited هذا لما B تقول لما لا نهاية لإن ما لا نهاية ما لا نهاية ناقص هذا العدد بيظلوا إيش ما لا نهاية إذن التكامل تبعي داي وفير وبالتالي by the integrate test the series داي وفير", "tokens": [27842, 568, 30731, 363, 44945, 3615, 2407, 11242, 20666, 39184, 363, 20666, 10721, 12610, 4724, 3794, 2423, 39184, 363, 6055, 25513, 10632, 30767, 16373, 3215, 36764, 24401, 46599, 22488, 9957, 44945, 3615, 2407, 11242, 20666, 5718, 104, 1863, 9957, 1975, 2655, 1863, 9957, 6055, 25513, 10632, 5551, 25513, 27884, 4032, 36764, 24401, 16490, 2304, 3794, 3660, 37495, 22653, 5296, 1863, 11933, 1829, 8592, 33962, 2304, 3794, 3660, 2423, 21950, 23758, 5296, 15042, 363, 6055, 39648, 5296, 15042, 20193, 8717, 11296, 10632, 5296, 28814, 1863, 19446, 20193, 8717, 11296, 10632, 19446, 20193, 8717, 11296, 10632, 8717, 995, 4587, 9381, 23758, 18863, 3215, 3215, 4724, 1829, 19913, 1211, 14407, 11933, 1829, 8592, 19446, 20193, 8717, 11296, 10632, 11933, 8848, 1863, 16712, 4117, 10943, 1211, 6055, 3555, 3615, 1829, 11778, 47302, 4032, 5172, 13546, 46599, 6027, 2655, 6027, 1829, 538, 264, 16200, 4404, 1500, 264, 2638, 11778, 47302, 4032, 5172, 13546], "avg_logprob": -0.3018036880749184, "compression_ratio": 1.9507575757575757, "no_speech_prob": 1.6510486602783203e-05, "words": [{"start": 528.79, "end": 529.11, "word": "من", "probability": 0.6669921875}, {"start": 529.11, "end": 529.55, "word": " 2", "probability": 0.513671875}, {"start": 529.55, "end": 529.79, "word": " إلى", "probability": 0.814453125}, {"start": 529.79, "end": 530.03, "word": " B", "probability": 0.463623046875}, {"start": 530.03, "end": 530.61, "word": " بنعوض", "probability": 0.618377685546875}, {"start": 530.61, "end": 530.83, "word": " بالـ", "probability": 0.7431640625}, {"start": 530.83, "end": 530.95, "word": " B", "probability": 0.5234375}, {"start": 530.95, "end": 531.47, "word": " بالأول", "probability": 0.9148763020833334}, {"start": 531.47, "end": 531.79, "word": " بس", "probability": 0.4593505859375}, {"start": 531.79, "end": 531.89, "word": " الـ", "probability": 0.826904296875}, {"start": 531.89, "end": 531.97, "word": " B", "probability": 0.83935546875}, {"start": 531.97, "end": 532.29, "word": " تربية", "probability": 0.7140299479166666}, {"start": 532.29, "end": 532.63, "word": " زائد", "probability": 0.8199869791666666}, {"start": 532.63, "end": 533.01, "word": " واحد", "probability": 0.833984375}, {"start": 533.01, "end": 533.43, "word": " وبعدين", "probability": 0.81884765625}, {"start": 533.43, "end": 533.85, "word": " بنعوض", "probability": 0.9534912109375}, {"start": 533.85, "end": 534.45, "word": " بالاثنين", "probability": 0.8151123046875}, {"start": 534.45, "end": 534.87, "word": " اتنين", "probability": 0.78253173828125}, {"start": 534.87, "end": 535.29, "word": " تربية", "probability": 0.9762369791666666}, {"start": 535.29, "end": 535.71, "word": " أربعة", "probability": 0.7347005208333334}, {"start": 535.71, "end": 535.85, "word": " و", "probability": 0.65234375}, {"start": 535.85, "end": 536.03, "word": " واحد", "probability": 0.76416015625}, {"start": 536.03, "end": 536.47, "word": " خمسة", "probability": 0.90625}, {"start": 536.47, "end": 536.67, "word": " يعني", "probability": 0.931640625}, {"start": 536.67, "end": 536.91, "word": " لن", "probability": 0.619873046875}, {"start": 536.91, "end": 537.23, "word": " إيش", "probability": 0.5567626953125}, {"start": 537.23, "end": 537.87, "word": " الخمسة", "probability": 0.9678955078125}, {"start": 537.87, "end": 538.19, "word": " ال", "probability": 0.810546875}, {"start": 538.19, "end": 538.51, "word": " unlimited", "probability": 0.26171875}, {"start": 538.51, "end": 538.89, "word": " هذا", "probability": 0.42236328125}, {"start": 538.89, "end": 539.11, "word": " لما", "probability": 0.931884765625}, {"start": 539.11, "end": 539.27, "word": " B", "probability": 0.705078125}, {"start": 539.27, "end": 539.53, "word": " تقول", "probability": 0.89404296875}, {"start": 539.53, "end": 539.79, "word": " لما", "probability": 0.6654052734375}, {"start": 539.79, "end": 539.87, "word": " لا", "probability": 0.483154296875}, {"start": 539.87, "end": 540.31, "word": " نهاية", "probability": 0.9002278645833334}, {"start": 540.31, "end": 540.95, "word": " لإن", "probability": 0.7508951822916666}, {"start": 540.95, "end": 541.15, "word": " ما", "probability": 0.55126953125}, {"start": 541.15, "end": 541.27, "word": " لا", "probability": 0.92529296875}, {"start": 541.27, "end": 541.63, "word": " نهاية", "probability": 0.9134114583333334}, {"start": 541.63, "end": 541.83, "word": " ما", "probability": 0.9599609375}, {"start": 541.83, "end": 541.91, "word": " لا", "probability": 0.95263671875}, {"start": 541.91, "end": 542.43, "word": " نهاية", "probability": 0.95654296875}, {"start": 542.43, "end": 543.07, "word": " ناقص", "probability": 0.9700927734375}, {"start": 543.07, "end": 543.25, "word": " هذا", "probability": 0.89453125}, {"start": 543.25, "end": 543.63, "word": " العدد", "probability": 0.9669596354166666}, {"start": 543.63, "end": 544.09, "word": " بيظلوا", "probability": 0.577783203125}, {"start": 544.09, "end": 544.39, "word": " إيش", "probability": 0.91064453125}, {"start": 544.39, "end": 544.67, "word": " ما", "probability": 0.955078125}, {"start": 544.67, "end": 544.85, "word": " لا", "probability": 0.9365234375}, {"start": 544.85, "end": 545.35, "word": " نهاية", "probability": 0.943359375}, {"start": 545.35, "end": 545.87, "word": " إذن", "probability": 0.6610514322916666}, {"start": 545.87, "end": 546.75, "word": " التكامل", "probability": 0.9346923828125}, {"start": 546.75, "end": 547.21, "word": " تبعي", "probability": 0.8853759765625}, {"start": 547.21, "end": 547.91, "word": " داي", "probability": 0.32080078125}, {"start": 547.91, "end": 548.59, "word": " وفير", "probability": 0.58001708984375}, {"start": 548.59, "end": 549.59, "word": " وبالتالي", "probability": 0.9396484375}, {"start": 549.59, "end": 549.79, "word": " by", "probability": 0.6650390625}, {"start": 549.79, "end": 549.95, "word": " the", "probability": 0.89794921875}, {"start": 549.95, "end": 550.45, "word": " integrate", "probability": 0.42047119140625}, {"start": 550.45, "end": 550.73, "word": " test", "probability": 0.8466796875}, {"start": 550.73, "end": 550.99, "word": " the", "probability": 0.70556640625}, {"start": 550.99, "end": 551.43, "word": " series", "probability": 0.92138671875}, {"start": 551.43, "end": 551.97, "word": " داي", "probability": 0.5421142578125}, {"start": 551.97, "end": 552.35, "word": " وفير", "probability": 0.8815104166666666}], "temperature": 1.0}, {"id": 24, "seek": 58625, "start": 556.79, "end": 586.25, "text": "Example ثلاثة Test Summation N E- N تربية for convergence من N تساوي واحد لما لنهاية الملاحظة الأولى أن هذا قابل للتكامل لأن هى تفاضل هذا ناقص 2N موجود هنا بس بدنا نضرب في ناقص 2 ونقسم عليها اذا تكامل أيش برضه سهل اللى واحد نطبق ايش الشروط بنحول ال A N إلى F of N تساوي N E- N تربية و N أكبر أو يساوي واحد و بنشوف الشروط تنطبق وين اي رقم بعد الواحد او من الواحد", "tokens": [11149, 335, 781, 38637, 1211, 5718, 104, 3660, 9279, 8626, 76, 399, 426, 462, 12, 426, 6055, 25513, 10632, 337, 32181, 9154, 426, 6055, 3794, 995, 45865, 36764, 24401, 5296, 15042, 5296, 1863, 11296, 10632, 9673, 15040, 5016, 19913, 3660, 16247, 12610, 7578, 14739, 23758, 12174, 16758, 1211, 24976, 2655, 4117, 10943, 1211, 5296, 33456, 8032, 7578, 6055, 5172, 46958, 1211, 23758, 8717, 995, 4587, 9381, 568, 45, 3714, 29245, 23328, 34105, 4724, 3794, 47525, 8315, 8717, 11242, 25513, 8978, 8717, 995, 4587, 9381, 568, 4032, 1863, 4587, 38251, 25894, 11296, 1975, 15730, 6055, 4117, 10943, 1211, 36632, 8592, 4724, 43042, 3224, 8608, 3224, 1211, 13672, 7578, 36764, 24401, 8717, 9566, 3555, 4587, 1975, 1829, 8592, 25124, 32887, 9566, 44945, 5016, 12610, 2423, 316, 426, 30731, 479, 295, 426, 6055, 3794, 995, 45865, 426, 462, 12, 426, 6055, 25513, 10632, 4032, 426, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 36764, 24401, 4032, 44945, 8592, 38688, 25124, 32887, 9566, 6055, 1863, 9566, 3555, 4587, 4032, 9957, 1975, 1829, 12602, 4587, 2304, 39182, 2423, 14407, 24401, 1975, 2407, 9154, 2423, 14407, 24401], "avg_logprob": -0.27541208611084866, "compression_ratio": 1.8354037267080745, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 556.79, "end": 557.35, "word": "Example", "probability": 0.6876627604166666}, {"start": 557.35, "end": 557.77, "word": " ثلاثة", "probability": 0.809130859375}, {"start": 557.77, "end": 558.05, "word": " Test", "probability": 0.2646484375}, {"start": 558.05, "end": 558.77, "word": " Summation", "probability": 0.71923828125}, {"start": 558.77, "end": 559.17, "word": " N", "probability": 0.36962890625}, {"start": 559.17, "end": 559.37, "word": " E", "probability": 0.426513671875}, {"start": 559.37, "end": 559.69, "word": "-", "probability": 0.02288818359375}, {"start": 559.69, "end": 560.07, "word": " N", "probability": 0.460693359375}, {"start": 560.07, "end": 560.37, "word": " تربية", "probability": 0.6290690104166666}, {"start": 560.37, "end": 560.69, "word": " for", "probability": 0.67138671875}, {"start": 560.69, "end": 561.39, "word": " convergence", "probability": 0.927734375}, {"start": 561.39, "end": 561.71, "word": " من", "probability": 0.87548828125}, {"start": 561.71, "end": 561.85, "word": " N", "probability": 0.814453125}, {"start": 561.85, "end": 562.11, "word": " تساوي", "probability": 0.6527099609375}, {"start": 562.11, "end": 562.35, "word": " واحد", "probability": 0.7271728515625}, {"start": 562.35, "end": 562.55, "word": " لما", "probability": 0.781494140625}, {"start": 562.55, "end": 563.11, "word": " لنهاية", "probability": 0.8909912109375}, {"start": 563.11, "end": 564.29, "word": " الملاحظة", "probability": 0.93447265625}, {"start": 564.29, "end": 564.61, "word": " الأولى", "probability": 0.8933919270833334}, {"start": 564.61, "end": 564.83, "word": " أن", "probability": 0.459228515625}, {"start": 564.83, "end": 565.09, "word": " هذا", "probability": 0.7900390625}, {"start": 565.09, "end": 565.57, "word": " قابل", "probability": 0.9886067708333334}, {"start": 565.57, "end": 566.25, "word": " للتكامل", "probability": 0.95947265625}, {"start": 566.25, "end": 566.65, "word": " لأن", "probability": 0.886962890625}, {"start": 566.65, "end": 566.95, "word": " هى", "probability": 0.367919921875}, {"start": 566.95, "end": 567.43, "word": " تفاضل", "probability": 0.9425048828125}, {"start": 567.43, "end": 567.79, "word": " هذا", "probability": 0.72314453125}, {"start": 567.79, "end": 568.17, "word": " ناقص", "probability": 0.72503662109375}, {"start": 568.17, "end": 568.61, "word": " 2N", "probability": 0.5257568359375}, {"start": 568.61, "end": 569.01, "word": " موجود", "probability": 0.9630533854166666}, {"start": 569.01, "end": 569.27, "word": " هنا", "probability": 0.61962890625}, {"start": 569.27, "end": 569.69, "word": " بس", "probability": 0.8076171875}, {"start": 569.69, "end": 569.89, "word": " بدنا", "probability": 0.75537109375}, {"start": 569.89, "end": 570.17, "word": " نضرب", "probability": 0.9869791666666666}, {"start": 570.17, "end": 570.31, "word": " في", "probability": 0.44677734375}, {"start": 570.31, "end": 570.55, "word": " ناقص", "probability": 0.9888916015625}, {"start": 570.55, "end": 570.73, "word": " 2", "probability": 0.8701171875}, {"start": 570.73, "end": 571.19, "word": " ونقسم", "probability": 0.9013671875}, {"start": 571.19, "end": 571.59, "word": " عليها", "probability": 0.988525390625}, {"start": 571.59, "end": 572.13, "word": " اذا", "probability": 0.5869140625}, {"start": 572.13, "end": 572.73, "word": " تكامل", "probability": 0.8876953125}, {"start": 572.73, "end": 572.93, "word": " أيش", "probability": 0.85888671875}, {"start": 572.93, "end": 573.31, "word": " برضه", "probability": 0.9690755208333334}, {"start": 573.31, "end": 573.91, "word": " سهل", "probability": 0.9803059895833334}, {"start": 573.91, "end": 574.11, "word": " اللى", "probability": 0.5887451171875}, {"start": 574.11, "end": 574.31, "word": " واحد", "probability": 0.5933837890625}, {"start": 574.31, "end": 574.71, "word": " نطبق", "probability": 0.8765869140625}, {"start": 574.71, "end": 574.93, "word": " ايش", "probability": 0.640625}, {"start": 574.93, "end": 575.53, "word": " الشروط", "probability": 0.7942708333333334}, {"start": 575.53, "end": 576.23, "word": " بنحول", "probability": 0.7318522135416666}, {"start": 576.23, "end": 576.83, "word": " ال", "probability": 0.8017578125}, {"start": 576.83, "end": 576.97, "word": " A", "probability": 0.3935546875}, {"start": 576.97, "end": 577.15, "word": " N", "probability": 0.55224609375}, {"start": 577.15, "end": 577.35, "word": " إلى", "probability": 0.6767578125}, {"start": 577.35, "end": 577.55, "word": " F", "probability": 0.912109375}, {"start": 577.55, "end": 577.71, "word": " of", "probability": 0.57958984375}, {"start": 577.71, "end": 577.89, "word": " N", "probability": 0.97607421875}, {"start": 577.89, "end": 578.25, "word": " تساوي", "probability": 0.9515380859375}, {"start": 578.25, "end": 578.61, "word": " N", "probability": 0.9306640625}, {"start": 578.61, "end": 578.85, "word": " E", "probability": 0.9697265625}, {"start": 578.85, "end": 579.13, "word": "-", "probability": 0.3076171875}, {"start": 579.13, "end": 579.53, "word": " N", "probability": 0.849609375}, {"start": 579.53, "end": 579.99, "word": " تربية", "probability": 0.966796875}, {"start": 579.99, "end": 580.41, "word": " و", "probability": 0.94287109375}, {"start": 580.41, "end": 580.55, "word": " N", "probability": 0.51513671875}, {"start": 580.55, "end": 580.87, "word": " أكبر", "probability": 0.9142252604166666}, {"start": 580.87, "end": 581.03, "word": " أو", "probability": 0.888671875}, {"start": 581.03, "end": 581.25, "word": " يساوي", "probability": 0.84130859375}, {"start": 581.25, "end": 581.59, "word": " واحد", "probability": 0.978515625}, {"start": 581.59, "end": 581.71, "word": " و", "probability": 0.89404296875}, {"start": 581.71, "end": 581.95, "word": " بنشوف", "probability": 0.8367513020833334}, {"start": 581.95, "end": 582.35, "word": " الشروط", "probability": 0.8387044270833334}, {"start": 582.35, "end": 582.81, "word": " تنطبق", "probability": 0.82333984375}, {"start": 582.81, "end": 583.23, "word": " وين", "probability": 0.82568359375}, {"start": 583.23, "end": 584.05, "word": " اي", "probability": 0.37591552734375}, {"start": 584.05, "end": 584.55, "word": " رقم", "probability": 0.9542643229166666}, {"start": 584.55, "end": 584.91, "word": " بعد", "probability": 0.93505859375}, {"start": 584.91, "end": 585.47, "word": " الواحد", "probability": 0.96728515625}, {"start": 585.47, "end": 585.69, "word": " او", "probability": 0.7587890625}, {"start": 585.69, "end": 585.85, "word": " من", "probability": 0.9931640625}, {"start": 585.85, "end": 586.25, "word": " الواحد", "probability": 0.98876953125}], "temperature": 1.0}, {"id": 25, "seek": 61542, "start": 586.89, "end": 615.43, "text": "الأول ال F of N طبعا موجبة لإن ال N موجبة وبالتالي كل هذا ال E أصلا موجبة و ال N موجبة وبالتالي ال F of N موجبة F of N continuous لإن ال E continuous و ال N continuous على أي طبعا فرق ال N وبالتالي on واحد و مادة نهاية الآن نشوف ال decreasing F prime of N يساوي الأولى في تقاضل التانية زائد التانية في تقاضل الأولى ناخد E أُس ناقص N تربيع عامل مشترك بيظل عندنا إيش واحد ناقص اثنين N تربيع", "tokens": [6027, 10721, 12610, 2423, 479, 295, 426, 23032, 3555, 3615, 995, 3714, 29245, 49401, 5296, 28814, 1863, 2423, 426, 3714, 29245, 49401, 46599, 6027, 2655, 6027, 1829, 28242, 23758, 2423, 462, 5551, 9381, 15040, 3714, 29245, 49401, 4032, 2423, 426, 3714, 29245, 49401, 46599, 6027, 2655, 6027, 1829, 2423, 479, 295, 426, 3714, 29245, 49401, 479, 295, 426, 10957, 5296, 28814, 1863, 2423, 462, 10957, 4032, 2423, 426, 10957, 15844, 36632, 23032, 3555, 3615, 995, 6156, 2288, 4587, 2423, 426, 46599, 6027, 2655, 6027, 1829, 322, 36764, 24401, 4032, 3714, 18513, 3660, 8717, 11296, 10632, 6024, 48506, 8717, 8592, 38688, 2423, 23223, 479, 5835, 295, 426, 7251, 3794, 995, 45865, 16247, 12610, 7578, 8978, 6055, 4587, 46958, 1211, 16712, 7649, 10632, 30767, 16373, 3215, 16712, 7649, 10632, 8978, 6055, 4587, 46958, 1211, 16247, 12610, 7578, 8717, 47283, 3215, 462, 5551, 10859, 3794, 8717, 995, 4587, 9381, 426, 6055, 2288, 21292, 3615, 6225, 10943, 1211, 37893, 2655, 31747, 4724, 1829, 19913, 1211, 43242, 8315, 11933, 1829, 8592, 36764, 24401, 8717, 995, 4587, 9381, 1975, 12984, 1863, 9957, 426, 6055, 2288, 21292, 3615], "avg_logprob": -0.21153845605286922, "compression_ratio": 2.141868512110727, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 586.89, "end": 587.51, "word": "الأول", "probability": 0.563232421875}, {"start": 587.51, "end": 587.63, "word": " ال", "probability": 0.31494140625}, {"start": 587.63, "end": 587.73, "word": " F", "probability": 0.470458984375}, {"start": 587.73, "end": 587.89, "word": " of", "probability": 0.406005859375}, {"start": 587.89, "end": 587.97, "word": " N", "probability": 0.7998046875}, {"start": 587.97, "end": 588.29, "word": " طبعا", "probability": 0.8956298828125}, {"start": 588.29, "end": 588.63, "word": " موجبة", "probability": 0.9342447916666666}, {"start": 588.63, "end": 588.91, "word": " لإن", "probability": 0.7345377604166666}, {"start": 588.91, "end": 589.07, "word": " ال", "probability": 0.7216796875}, {"start": 589.07, "end": 589.19, "word": " N", "probability": 0.7099609375}, {"start": 589.19, "end": 589.59, "word": " موجبة", "probability": 0.9794921875}, {"start": 589.59, "end": 590.23, "word": " وبالتالي", "probability": 0.85}, {"start": 590.23, "end": 590.59, "word": " كل", "probability": 0.270263671875}, {"start": 590.59, "end": 590.91, "word": " هذا", "probability": 0.74560546875}, {"start": 590.91, "end": 591.25, "word": " ال", "probability": 0.90185546875}, {"start": 591.25, "end": 591.43, "word": " E", "probability": 0.73486328125}, {"start": 591.43, "end": 591.83, "word": " أصلا", "probability": 0.9034830729166666}, {"start": 591.83, "end": 592.21, "word": " موجبة", "probability": 0.9783528645833334}, {"start": 592.21, "end": 592.37, "word": " و", "probability": 0.619140625}, {"start": 592.37, "end": 592.45, "word": " ال", "probability": 0.64794921875}, {"start": 592.45, "end": 592.55, "word": " N", "probability": 0.955078125}, {"start": 592.55, "end": 592.87, "word": " موجبة", "probability": 0.9873046875}, {"start": 592.87, "end": 593.35, "word": " وبالتالي", "probability": 0.90087890625}, {"start": 593.35, "end": 593.47, "word": " ال", "probability": 0.54931640625}, {"start": 593.47, "end": 593.57, "word": " F", "probability": 0.97412109375}, {"start": 593.57, "end": 593.69, "word": " of", "probability": 0.92236328125}, {"start": 593.69, "end": 593.85, "word": " N", "probability": 0.98876953125}, {"start": 593.85, "end": 594.31, "word": " موجبة", "probability": 0.98974609375}, {"start": 594.31, "end": 594.85, "word": " F", "probability": 0.57958984375}, {"start": 594.85, "end": 595.03, "word": " of", "probability": 0.95361328125}, {"start": 595.03, "end": 595.19, "word": " N", "probability": 0.98583984375}, {"start": 595.19, "end": 595.89, "word": " continuous", "probability": 0.90869140625}, {"start": 595.89, "end": 596.37, "word": " لإن", "probability": 0.94189453125}, {"start": 596.37, "end": 596.51, "word": " ال", "probability": 0.94677734375}, {"start": 596.51, "end": 596.61, "word": " E", "probability": 0.978515625}, {"start": 596.61, "end": 597.09, "word": " continuous", "probability": 0.9375}, {"start": 597.09, "end": 597.27, "word": " و", "probability": 0.8203125}, {"start": 597.27, "end": 597.35, "word": " ال", "probability": 0.8984375}, {"start": 597.35, "end": 597.47, "word": " N", "probability": 0.98974609375}, {"start": 597.47, "end": 598.07, "word": " continuous", "probability": 0.93310546875}, {"start": 598.07, "end": 598.83, "word": " على", "probability": 0.72607421875}, {"start": 598.83, "end": 599.07, "word": " أي", "probability": 0.814453125}, {"start": 599.07, "end": 599.47, "word": " طبعا", "probability": 0.917236328125}, {"start": 599.47, "end": 599.87, "word": " فرق", "probability": 0.939453125}, {"start": 599.87, "end": 600.05, "word": " ال", "probability": 0.73583984375}, {"start": 600.05, "end": 600.21, "word": " N", "probability": 0.9423828125}, {"start": 600.21, "end": 600.83, "word": " وبالتالي", "probability": 0.9041015625}, {"start": 600.83, "end": 601.23, "word": " on", "probability": 0.08050537109375}, {"start": 601.23, "end": 601.55, "word": " واحد", "probability": 0.97607421875}, {"start": 601.55, "end": 601.65, "word": " و", "probability": 0.99267578125}, {"start": 601.65, "end": 601.83, "word": " مادة", "probability": 0.520751953125}, {"start": 601.83, "end": 602.29, "word": " نهاية", "probability": 0.9697265625}, {"start": 602.29, "end": 602.81, "word": " الآن", "probability": 0.591796875}, {"start": 602.81, "end": 603.09, "word": " نشوف", "probability": 0.9435221354166666}, {"start": 603.09, "end": 603.19, "word": " ال", "probability": 0.95166015625}, {"start": 603.19, "end": 603.65, "word": " decreasing", "probability": 0.82958984375}, {"start": 603.65, "end": 604.43, "word": " F", "probability": 0.84521484375}, {"start": 604.43, "end": 605.09, "word": " prime", "probability": 0.70458984375}, {"start": 605.09, "end": 605.33, "word": " of", "probability": 0.94580078125}, {"start": 605.33, "end": 605.49, "word": " N", "probability": 0.95263671875}, {"start": 605.49, "end": 606.03, "word": " يساوي", "probability": 0.92919921875}, {"start": 606.03, "end": 606.63, "word": " الأولى", "probability": 0.9573567708333334}, {"start": 606.63, "end": 606.77, "word": " في", "probability": 0.88818359375}, {"start": 606.77, "end": 607.27, "word": " تقاضل", "probability": 0.8421630859375}, {"start": 607.27, "end": 607.77, "word": " التانية", "probability": 0.87158203125}, {"start": 607.77, "end": 608.07, "word": " زائد", "probability": 0.7211100260416666}, {"start": 608.07, "end": 608.45, "word": " التانية", "probability": 0.9650065104166666}, {"start": 608.45, "end": 608.61, "word": " في", "probability": 0.9853515625}, {"start": 608.61, "end": 609.13, "word": " تقاضل", "probability": 0.9822998046875}, {"start": 609.13, "end": 609.91, "word": " الأولى", "probability": 0.9796549479166666}, {"start": 609.91, "end": 610.47, "word": " ناخد", "probability": 0.9729817708333334}, {"start": 610.47, "end": 610.63, "word": " E", "probability": 0.91015625}, {"start": 610.63, "end": 610.85, "word": " أُس", "probability": 0.521240234375}, {"start": 610.85, "end": 611.17, "word": " ناقص", "probability": 0.8812255859375}, {"start": 611.17, "end": 611.37, "word": " N", "probability": 0.9248046875}, {"start": 611.37, "end": 611.79, "word": " تربيع", "probability": 0.770751953125}, {"start": 611.79, "end": 612.05, "word": " عامل", "probability": 0.95654296875}, {"start": 612.05, "end": 612.57, "word": " مشترك", "probability": 0.9558919270833334}, {"start": 612.57, "end": 612.93, "word": " بيظل", "probability": 0.56060791015625}, {"start": 612.93, "end": 613.23, "word": " عندنا", "probability": 0.935546875}, {"start": 613.23, "end": 613.45, "word": " إيش", "probability": 0.8173828125}, {"start": 613.45, "end": 613.93, "word": " واحد", "probability": 0.766845703125}, {"start": 613.93, "end": 614.35, "word": " ناقص", "probability": 0.9879150390625}, {"start": 614.35, "end": 614.71, "word": " اثنين", "probability": 0.7813720703125}, {"start": 614.71, "end": 614.93, "word": " N", "probability": 0.888671875}, {"start": 614.93, "end": 615.43, "word": " تربيع", "probability": 0.8018798828125}], "temperature": 1.0}, {"id": 26, "seek": 63283, "start": 615.87, "end": 632.83, "text": "الأن واحد طبعا هذه دائما موجبة هي positive هذه ال E دائما موجبة واحد نقص اتنين N تربيع ل N أكبر أو ساوي واحد لأن من الواحد لما N تساوي واحد يكون هذا سالب N تساوي اتنين طبعا سالب و هكذا إذا هذا دائما أقل من الصفر for all N أكبر أو ساوي واحد", "tokens": [6027, 33456, 36764, 24401, 23032, 3555, 3615, 995, 29538, 11778, 16373, 15042, 3714, 29245, 49401, 39896, 3353, 29538, 2423, 462, 11778, 16373, 15042, 3714, 29245, 49401, 36764, 24401, 8717, 4587, 9381, 1975, 2655, 1863, 9957, 426, 6055, 2288, 21292, 3615, 5296, 426, 5551, 4117, 26890, 34051, 8608, 995, 45865, 36764, 24401, 5296, 33456, 9154, 2423, 14407, 24401, 5296, 15042, 426, 6055, 3794, 995, 45865, 36764, 24401, 7251, 30544, 23758, 8608, 6027, 3555, 426, 6055, 3794, 995, 45865, 1975, 2655, 1863, 9957, 23032, 3555, 3615, 995, 8608, 6027, 3555, 4032, 8032, 4117, 15730, 11933, 15730, 23758, 11778, 16373, 15042, 5551, 4587, 1211, 9154, 31767, 5172, 2288, 337, 439, 426, 5551, 4117, 26890, 34051, 8608, 995, 45865, 36764, 24401], "avg_logprob": -0.22113347432370914, "compression_ratio": 2.0876288659793816, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 615.87, "end": 616.25, "word": "الأن", "probability": 0.4822998046875}, {"start": 616.25, "end": 616.57, "word": " واحد", "probability": 0.7332763671875}, {"start": 616.57, "end": 616.89, "word": " طبعا", "probability": 0.90771484375}, {"start": 616.89, "end": 617.09, "word": " هذه", "probability": 0.2244873046875}, {"start": 617.09, "end": 617.51, "word": " دائما", "probability": 0.8232421875}, {"start": 617.51, "end": 617.97, "word": " موجبة", "probability": 0.95263671875}, {"start": 617.97, "end": 618.13, "word": " هي", "probability": 0.767578125}, {"start": 618.13, "end": 618.57, "word": " positive", "probability": 0.63720703125}, {"start": 618.57, "end": 618.93, "word": " هذه", "probability": 0.2330322265625}, {"start": 618.93, "end": 619.05, "word": " ال", "probability": 0.62158203125}, {"start": 619.05, "end": 619.19, "word": " E", "probability": 0.56640625}, {"start": 619.19, "end": 619.59, "word": " دائما", "probability": 0.91455078125}, {"start": 619.59, "end": 620.11, "word": " موجبة", "probability": 0.9775390625}, {"start": 620.11, "end": 620.85, "word": " واحد", "probability": 0.86572265625}, {"start": 620.85, "end": 621.15, "word": " نقص", "probability": 0.6449381510416666}, {"start": 621.15, "end": 621.45, "word": " اتنين", "probability": 0.876708984375}, {"start": 621.45, "end": 621.63, "word": " N", "probability": 0.2274169921875}, {"start": 621.63, "end": 622.19, "word": " تربيع", "probability": 0.84368896484375}, {"start": 622.19, "end": 622.41, "word": " ل", "probability": 0.94140625}, {"start": 622.41, "end": 622.55, "word": " N", "probability": 0.822265625}, {"start": 622.55, "end": 622.87, "word": " أكبر", "probability": 0.9070638020833334}, {"start": 622.87, "end": 623.03, "word": " أو", "probability": 0.61474609375}, {"start": 623.03, "end": 623.29, "word": " ساوي", "probability": 0.6502278645833334}, {"start": 623.29, "end": 623.61, "word": " واحد", "probability": 0.98095703125}, {"start": 623.61, "end": 623.91, "word": " لأن", "probability": 0.4700927734375}, {"start": 623.91, "end": 624.11, "word": " من", "probability": 0.97314453125}, {"start": 624.11, "end": 624.67, "word": " الواحد", "probability": 0.9189453125}, {"start": 624.67, "end": 624.93, "word": " لما", "probability": 0.907958984375}, {"start": 624.93, "end": 625.09, "word": " N", "probability": 0.50244140625}, {"start": 625.09, "end": 625.43, "word": " تساوي", "probability": 0.92626953125}, {"start": 625.43, "end": 625.77, "word": " واحد", "probability": 0.988037109375}, {"start": 625.77, "end": 626.03, "word": " يكون", "probability": 0.774658203125}, {"start": 626.03, "end": 626.19, "word": " هذا", "probability": 0.923828125}, {"start": 626.19, "end": 626.65, "word": " سالب", "probability": 0.93896484375}, {"start": 626.65, "end": 627.03, "word": " N", "probability": 0.6376953125}, {"start": 627.03, "end": 627.37, "word": " تساوي", "probability": 0.9696044921875}, {"start": 627.37, "end": 627.59, "word": " اتنين", "probability": 0.9610595703125}, {"start": 627.59, "end": 627.95, "word": " طبعا", "probability": 0.9586181640625}, {"start": 627.95, "end": 628.23, "word": " سالب", "probability": 0.9864908854166666}, {"start": 628.23, "end": 628.31, "word": " و", "probability": 0.521484375}, {"start": 628.31, "end": 628.75, "word": " هكذا", "probability": 0.8977864583333334}, {"start": 628.75, "end": 629.25, "word": " إذا", "probability": 0.4910888671875}, {"start": 629.25, "end": 629.47, "word": " هذا", "probability": 0.748046875}, {"start": 629.47, "end": 629.87, "word": " دائما", "probability": 0.9392903645833334}, {"start": 629.87, "end": 630.19, "word": " أقل", "probability": 0.9625651041666666}, {"start": 630.19, "end": 630.33, "word": " من", "probability": 0.994140625}, {"start": 630.33, "end": 630.67, "word": " الصفر", "probability": 0.7384440104166666}, {"start": 630.67, "end": 630.87, "word": " for", "probability": 0.89599609375}, {"start": 630.87, "end": 631.07, "word": " all", "probability": 0.92431640625}, {"start": 631.07, "end": 631.25, "word": " N", "probability": 0.9033203125}, {"start": 631.25, "end": 631.61, "word": " أكبر", "probability": 0.9654947916666666}, {"start": 631.61, "end": 631.79, "word": " أو", "probability": 0.89404296875}, {"start": 631.79, "end": 632.21, "word": " ساوي", "probability": 0.9640299479166666}, {"start": 632.21, "end": 632.83, "word": " واحد", "probability": 0.98095703125}], "temperature": 1.0}, {"id": 27, "seek": 65258, "start": 633.0, "end": 652.58, "text": "يبقى من الواحد للماء لنهاية هذا دائما إياش سالب وبالتالي التلت شروط تبع تان طبقات من واحد إلى ماء لنهاية الآن بنروح إياش من حوله تسير من حولها إلى تكامل بنشيل ال N و بنحط بدالها X و بنحط حدود التكامل وين حيث الشروط انطبقات من واحد إلى ماء لنهاية و بنكامل هذا", "tokens": [1829, 3555, 4587, 7578, 9154, 2423, 14407, 24401, 5296, 19528, 16606, 5296, 1863, 11296, 10632, 23758, 11778, 16373, 15042, 11933, 1829, 33599, 8608, 6027, 3555, 46599, 6027, 2655, 6027, 1829, 16712, 1211, 2655, 13412, 32887, 9566, 6055, 3555, 3615, 6055, 7649, 23032, 3555, 4587, 9307, 9154, 36764, 24401, 30731, 3714, 16606, 5296, 1863, 11296, 10632, 6024, 48506, 44945, 32887, 5016, 11933, 1829, 33599, 9154, 11331, 12610, 3224, 6055, 3794, 13546, 9154, 11331, 12610, 11296, 30731, 6055, 4117, 10943, 1211, 44945, 8592, 26895, 2423, 426, 4032, 44945, 5016, 9566, 47525, 6027, 11296, 1783, 4032, 44945, 5016, 9566, 11331, 3215, 23328, 16712, 4117, 10943, 1211, 4032, 9957, 11331, 1829, 12984, 25124, 32887, 9566, 16472, 9566, 3555, 4587, 9307, 9154, 36764, 24401, 30731, 3714, 16606, 5296, 1863, 11296, 10632, 4032, 44945, 4117, 10943, 1211, 23758], "avg_logprob": -0.2655075170043716, "compression_ratio": 2.2536585365853656, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 633.0, "end": 633.42, "word": "يبقى", "probability": 0.722564697265625}, {"start": 633.42, "end": 633.52, "word": " من", "probability": 0.9287109375}, {"start": 633.52, "end": 633.92, "word": " الواحد", "probability": 0.8199869791666666}, {"start": 633.92, "end": 634.26, "word": " للماء", "probability": 0.5697428385416666}, {"start": 634.26, "end": 634.72, "word": " لنهاية", "probability": 0.8480224609375}, {"start": 634.72, "end": 635.24, "word": " هذا", "probability": 0.424072265625}, {"start": 635.24, "end": 635.68, "word": " دائما", "probability": 0.7506510416666666}, {"start": 635.68, "end": 636.02, "word": " إياش", "probability": 0.485870361328125}, {"start": 636.02, "end": 636.5, "word": " سالب", "probability": 0.7089029947916666}, {"start": 636.5, "end": 636.88, "word": " وبالتالي", "probability": 0.91416015625}, {"start": 636.88, "end": 637.22, "word": " التلت", "probability": 0.6725260416666666}, {"start": 637.22, "end": 637.54, "word": " شروط", "probability": 0.8977864583333334}, {"start": 637.54, "end": 637.9, "word": " تبع", "probability": 0.76416015625}, {"start": 637.9, "end": 638.16, "word": " تان", "probability": 0.32244873046875}, {"start": 638.16, "end": 638.68, "word": " طبقات", "probability": 0.9117431640625}, {"start": 638.68, "end": 638.88, "word": " من", "probability": 0.9765625}, {"start": 638.88, "end": 639.22, "word": " واحد", "probability": 0.97998046875}, {"start": 639.22, "end": 639.46, "word": " إلى", "probability": 0.60302734375}, {"start": 639.46, "end": 640.02, "word": " ماء", "probability": 0.7744140625}, {"start": 640.02, "end": 640.48, "word": " لنهاية", "probability": 0.9359130859375}, {"start": 640.48, "end": 641.02, "word": " الآن", "probability": 0.6292724609375}, {"start": 641.02, "end": 641.34, "word": " بنروح", "probability": 0.8912760416666666}, {"start": 641.34, "end": 641.56, "word": " إياش", "probability": 0.9513346354166666}, {"start": 641.56, "end": 641.7, "word": " من", "probability": 0.317138671875}, {"start": 641.7, "end": 642.16, "word": " حوله", "probability": 0.9567057291666666}, {"start": 642.16, "end": 643.02, "word": " تسير", "probability": 0.5340576171875}, {"start": 643.02, "end": 643.12, "word": " من", "probability": 0.1875}, {"start": 643.12, "end": 643.52, "word": " حولها", "probability": 0.8859049479166666}, {"start": 643.52, "end": 643.82, "word": " إلى", "probability": 0.830078125}, {"start": 643.82, "end": 644.32, "word": " تكامل", "probability": 0.973876953125}, {"start": 644.32, "end": 644.92, "word": " بنشيل", "probability": 0.8463541666666666}, {"start": 644.92, "end": 645.06, "word": " ال", "probability": 0.91064453125}, {"start": 645.06, "end": 645.22, "word": " N", "probability": 0.341064453125}, {"start": 645.22, "end": 645.34, "word": " و", "probability": 0.5302734375}, {"start": 645.34, "end": 645.56, "word": " بنحط", "probability": 0.7613118489583334}, {"start": 645.56, "end": 646.0, "word": " بدالها", "probability": 0.9474283854166666}, {"start": 646.0, "end": 646.36, "word": " X", "probability": 0.95166015625}, {"start": 646.36, "end": 646.78, "word": " و", "probability": 0.81640625}, {"start": 646.78, "end": 647.12, "word": " بنحط", "probability": 0.92626953125}, {"start": 647.12, "end": 647.4, "word": " حدود", "probability": 0.9910481770833334}, {"start": 647.4, "end": 648.06, "word": " التكامل", "probability": 0.9786376953125}, {"start": 648.06, "end": 648.4, "word": " وين", "probability": 0.864013671875}, {"start": 648.4, "end": 648.68, "word": " حيث", "probability": 0.79443359375}, {"start": 648.68, "end": 649.06, "word": " الشروط", "probability": 0.8917643229166666}, {"start": 649.06, "end": 649.68, "word": " انطبقات", "probability": 0.82998046875}, {"start": 649.68, "end": 650.06, "word": " من", "probability": 0.986328125}, {"start": 650.06, "end": 650.42, "word": " واحد", "probability": 0.991455078125}, {"start": 650.42, "end": 650.68, "word": " إلى", "probability": 0.9365234375}, {"start": 650.68, "end": 651.22, "word": " ماء", "probability": 0.9404296875}, {"start": 651.22, "end": 651.7, "word": " لنهاية", "probability": 0.93359375}, {"start": 651.7, "end": 651.84, "word": " و", "probability": 0.5341796875}, {"start": 651.84, "end": 652.34, "word": " بنكامل", "probability": 0.849609375}, {"start": 652.34, "end": 652.58, "word": " هذا", "probability": 0.95947265625}], "temperature": 1.0}, {"id": 28, "seek": 67200, "start": 652.88, "end": 672.0, "text": "طبعا التكامل هدا أولا بنحوله لل limit و بعد هيش بنكمل و هنا ال أس هذا تفاضل الموجود هنا باسم أنه نضرب في ناقص 2 و برضه نضرب في ناقص نص هي ناقص نص و ال E بسيط ايه التكامل هي نفس إيه إيه إيه إيه إيه إيه إيه إيه إيه إيه إيه إيه إيه إيه", "tokens": [9566, 3555, 3615, 995, 16712, 4117, 10943, 1211, 8032, 28259, 5551, 12610, 995, 44945, 5016, 12610, 3224, 24976, 4948, 4032, 39182, 39896, 8592, 44945, 24793, 1211, 4032, 34105, 2423, 5551, 3794, 23758, 6055, 5172, 46958, 1211, 9673, 29245, 23328, 34105, 4724, 32277, 2304, 14739, 3224, 8717, 11242, 25513, 8978, 8717, 995, 4587, 9381, 568, 4032, 4724, 43042, 3224, 8717, 11242, 25513, 8978, 8717, 995, 4587, 9381, 8717, 9381, 39896, 8717, 995, 4587, 9381, 8717, 9381, 4032, 2423, 462, 4724, 3794, 1829, 9566, 1975, 1829, 3224, 16712, 4117, 10943, 1211, 39896, 8717, 36178, 11933, 1829, 3224, 11933, 1829, 3224, 11933, 1829, 3224, 11933, 1829, 3224, 11933, 1829, 3224, 11933, 1829, 3224, 11933, 1829, 3224, 11933, 1829, 3224, 11933, 1829, 3224, 11933, 1829, 3224, 11933, 1829, 3224, 11933, 1829, 3224, 11933, 1829, 3224, 11933, 1829, 3224], "avg_logprob": -0.33194443738019025, "compression_ratio": 2.258426966292135, "no_speech_prob": 2.86102294921875e-06, "words": [{"start": 652.88, "end": 653.24, "word": "طبعا", "probability": 0.7500762939453125}, {"start": 653.24, "end": 653.64, "word": " التكامل", "probability": 0.7900390625}, {"start": 653.64, "end": 653.84, "word": " هدا", "probability": 0.3287353515625}, {"start": 653.84, "end": 654.08, "word": " أولا", "probability": 0.7718098958333334}, {"start": 654.08, "end": 654.56, "word": " بنحوله", "probability": 0.724090576171875}, {"start": 654.56, "end": 654.7, "word": " لل", "probability": 0.83935546875}, {"start": 654.7, "end": 655.3, "word": " limit", "probability": 0.78564453125}, {"start": 655.3, "end": 655.46, "word": " و", "probability": 0.52734375}, {"start": 655.46, "end": 655.7, "word": " بعد", "probability": 0.775390625}, {"start": 655.7, "end": 656.2, "word": " هيش", "probability": 0.406494140625}, {"start": 656.2, "end": 656.76, "word": " بنكمل", "probability": 0.74951171875}, {"start": 656.76, "end": 656.9, "word": " و", "probability": 0.67333984375}, {"start": 656.9, "end": 657.18, "word": " هنا", "probability": 0.9423828125}, {"start": 657.18, "end": 657.42, "word": " ال", "probability": 0.76611328125}, {"start": 657.42, "end": 657.68, "word": " أس", "probability": 0.327606201171875}, {"start": 657.68, "end": 657.98, "word": " هذا", "probability": 0.59326171875}, {"start": 657.98, "end": 658.44, "word": " تفاضل", "probability": 0.949462890625}, {"start": 658.44, "end": 658.8, "word": " الموجود", "probability": 0.8331705729166666}, {"start": 658.8, "end": 658.92, "word": " هنا", "probability": 0.8134765625}, {"start": 658.92, "end": 659.16, "word": " باسم", "probability": 0.7813313802083334}, {"start": 659.16, "end": 659.36, "word": " أنه", "probability": 0.43853759765625}, {"start": 659.36, "end": 659.54, "word": " نضرب", "probability": 0.9078776041666666}, {"start": 659.54, "end": 659.66, "word": " في", "probability": 0.78369140625}, {"start": 659.66, "end": 659.98, "word": " ناقص", "probability": 0.889892578125}, {"start": 659.98, "end": 660.28, "word": " 2", "probability": 0.68701171875}, {"start": 660.28, "end": 660.88, "word": " و", "probability": 0.8994140625}, {"start": 660.88, "end": 661.14, "word": " برضه", "probability": 0.8507486979166666}, {"start": 661.14, "end": 661.48, "word": " نضرب", "probability": 0.970703125}, {"start": 661.48, "end": 661.62, "word": " في", "probability": 0.94677734375}, {"start": 661.62, "end": 661.98, "word": " ناقص", "probability": 0.9879150390625}, {"start": 661.98, "end": 662.26, "word": " نص", "probability": 0.95947265625}, {"start": 662.26, "end": 662.44, "word": " هي", "probability": 0.69384765625}, {"start": 662.44, "end": 662.86, "word": " ناقص", "probability": 0.9459228515625}, {"start": 662.86, "end": 663.26, "word": " نص", "probability": 0.912841796875}, {"start": 663.26, "end": 663.46, "word": " و", "probability": 0.81201171875}, {"start": 663.46, "end": 663.58, "word": " ال", "probability": 0.476318359375}, {"start": 663.58, "end": 663.74, "word": " E", "probability": 0.8193359375}, {"start": 663.74, "end": 664.22, "word": " بسيط", "probability": 0.7242431640625}, {"start": 664.22, "end": 664.48, "word": " ايه", "probability": 0.6878255208333334}, {"start": 664.48, "end": 665.08, "word": " التكامل", "probability": 0.869384765625}, {"start": 665.08, "end": 665.26, "word": " هي", "probability": 0.6865234375}, {"start": 665.26, "end": 665.6, "word": " نفس", "probability": 0.988037109375}, {"start": 665.6, "end": 665.82, "word": " إيه", "probability": 0.69580078125}, {"start": 665.82, "end": 666.46, "word": " إيه", "probability": 0.5367431640625}, {"start": 666.46, "end": 666.6, "word": " إيه", "probability": 0.70458984375}, {"start": 666.6, "end": 666.68, "word": " إيه", "probability": 0.7476399739583334}, {"start": 666.68, "end": 666.74, "word": " إيه", "probability": 0.7813313802083334}, {"start": 666.74, "end": 667.0, "word": " إيه", "probability": 0.8003743489583334}, {"start": 667.0, "end": 667.0, "word": " إيه", "probability": 0.8179524739583334}, {"start": 667.0, "end": 667.0, "word": " إيه", "probability": 0.8507486979166666}, {"start": 667.0, "end": 667.0, "word": " إيه", "probability": 0.89453125}, {"start": 667.0, "end": 667.0, "word": " إيه", "probability": 0.927734375}, {"start": 667.0, "end": 667.2, "word": " إيه", "probability": 0.9484049479166666}, {"start": 667.2, "end": 668.66, "word": " إيه", "probability": 0.9612630208333334}, {"start": 668.66, "end": 669.42, "word": " إيه", "probability": 0.9679361979166666}, {"start": 669.42, "end": 672.0, "word": " إيه", "probability": 0.9734700520833334}], "temperature": 1.0}, {"id": 29, "seek": 70111, "start": 672.13, "end": 701.11, "text": "الواحد و بعدين بنجيب ال limit لما B تقول إلى ماله نهاية بيصيرها ال E و السالب ماله نهاية سفر يبقى هذا ال term صار سفر و يظل هنا اللي هو واحد على اثنين E عدد حقيقي وبالتالي التكامل تبعنا converge إذا ال series تبعتنا by the integrals is test the series converge ال series تبعتنا converge الان احنا اتعرفنا في التكامل في علنا اللي هو P integral هنا كمان", "tokens": [6027, 14407, 24401, 4032, 39182, 9957, 44945, 7435, 1829, 3555, 2423, 4948, 5296, 15042, 363, 6055, 4587, 12610, 30731, 3714, 6027, 3224, 8717, 11296, 10632, 4724, 1829, 9381, 13546, 11296, 2423, 462, 4032, 21136, 6027, 3555, 3714, 6027, 3224, 8717, 11296, 10632, 8608, 5172, 2288, 7251, 3555, 4587, 7578, 23758, 2423, 1433, 20328, 9640, 8608, 5172, 2288, 4032, 7251, 19913, 1211, 34105, 13672, 1829, 31439, 36764, 24401, 15844, 1975, 12984, 1863, 9957, 462, 6225, 3215, 3215, 11331, 38436, 38436, 46599, 6027, 2655, 6027, 1829, 16712, 4117, 10943, 1211, 6055, 3555, 3615, 8315, 41881, 11933, 15730, 2423, 2638, 6055, 3555, 34268, 8315, 538, 264, 3572, 1124, 307, 1500, 264, 2638, 41881, 2423, 2638, 6055, 3555, 34268, 8315, 41881, 2423, 7649, 1975, 5016, 8315, 1975, 2655, 3615, 28480, 8315, 8978, 16712, 4117, 10943, 1211, 8978, 11203, 8315, 13672, 1829, 31439, 430, 11573, 34105, 9122, 2304, 7649], "avg_logprob": -0.2674568899746599, "compression_ratio": 1.9676258992805755, "no_speech_prob": 1.1980533599853516e-05, "words": [{"start": 672.13, "end": 672.93, "word": "الواحد", "probability": 0.5247802734375}, {"start": 672.93, "end": 673.41, "word": " و", "probability": 0.34033203125}, {"start": 673.41, "end": 673.75, "word": " بعدين", "probability": 0.6668701171875}, {"start": 673.75, "end": 674.07, "word": " بنجيب", "probability": 0.789276123046875}, {"start": 674.07, "end": 674.19, "word": " ال", "probability": 0.69287109375}, {"start": 674.19, "end": 674.39, "word": " limit", "probability": 0.87841796875}, {"start": 674.39, "end": 674.67, "word": " لما", "probability": 0.872802734375}, {"start": 674.67, "end": 674.81, "word": " B", "probability": 0.2176513671875}, {"start": 674.81, "end": 675.19, "word": " تقول", "probability": 0.6898600260416666}, {"start": 675.19, "end": 675.51, "word": " إلى", "probability": 0.65625}, {"start": 675.51, "end": 675.87, "word": " ماله", "probability": 0.5860595703125}, {"start": 675.87, "end": 676.19, "word": " نهاية", "probability": 0.8966471354166666}, {"start": 676.19, "end": 676.61, "word": " بيصيرها", "probability": 0.68408203125}, {"start": 676.61, "end": 676.75, "word": " ال", "probability": 0.55517578125}, {"start": 676.75, "end": 676.85, "word": " E", "probability": 0.7587890625}, {"start": 676.85, "end": 677.05, "word": " و", "probability": 0.2734375}, {"start": 677.05, "end": 677.33, "word": " السالب", "probability": 0.7342122395833334}, {"start": 677.33, "end": 677.57, "word": " ماله", "probability": 0.9617513020833334}, {"start": 677.57, "end": 677.89, "word": " نهاية", "probability": 0.9150390625}, {"start": 677.89, "end": 678.27, "word": " سفر", "probability": 0.8154296875}, {"start": 678.27, "end": 678.59, "word": " يبقى", "probability": 0.904052734375}, {"start": 678.59, "end": 678.79, "word": " هذا", "probability": 0.51025390625}, {"start": 678.79, "end": 678.83, "word": " ال", "probability": 0.90576171875}, {"start": 678.83, "end": 678.99, "word": " term", "probability": 0.8193359375}, {"start": 678.99, "end": 679.23, "word": " صار", "probability": 0.963623046875}, {"start": 679.23, "end": 679.63, "word": " سفر", "probability": 0.9475911458333334}, {"start": 679.63, "end": 680.07, "word": " و", "probability": 0.64013671875}, {"start": 680.07, "end": 680.77, "word": " يظل", "probability": 0.8336588541666666}, {"start": 680.77, "end": 680.99, "word": " هنا", "probability": 0.83740234375}, {"start": 680.99, "end": 681.31, "word": " اللي", "probability": 0.7177734375}, {"start": 681.31, "end": 681.51, "word": " هو", "probability": 0.98193359375}, {"start": 681.51, "end": 681.91, "word": " واحد", "probability": 0.870361328125}, {"start": 681.91, "end": 682.19, "word": " على", "probability": 0.70458984375}, {"start": 682.19, "end": 683.13, "word": " اثنين", "probability": 0.8778076171875}, {"start": 683.13, "end": 683.41, "word": " E", "probability": 0.546875}, {"start": 683.41, "end": 684.07, "word": " عدد", "probability": 0.9755859375}, {"start": 684.07, "end": 684.67, "word": " حقيقي", "probability": 0.9803059895833334}, {"start": 684.67, "end": 685.31, "word": " وبالتالي", "probability": 0.8783203125}, {"start": 685.31, "end": 685.75, "word": " التكامل", "probability": 0.91552734375}, {"start": 685.75, "end": 686.11, "word": " تبعنا", "probability": 0.9427490234375}, {"start": 686.11, "end": 686.67, "word": " converge", "probability": 0.8876953125}, {"start": 686.67, "end": 687.75, "word": " إذا", "probability": 0.6884765625}, {"start": 687.75, "end": 688.03, "word": " ال", "probability": 0.91357421875}, {"start": 688.03, "end": 688.33, "word": " series", "probability": 0.93603515625}, {"start": 688.33, "end": 688.85, "word": " تبعتنا", "probability": 0.787841796875}, {"start": 688.85, "end": 689.03, "word": " by", "probability": 0.61962890625}, {"start": 689.03, "end": 689.19, "word": " the", "probability": 0.8017578125}, {"start": 689.19, "end": 689.69, "word": " integrals", "probability": 0.613037109375}, {"start": 689.69, "end": 689.99, "word": " is", "probability": 0.4560546875}, {"start": 689.99, "end": 690.37, "word": " test", "probability": 0.46533203125}, {"start": 690.37, "end": 690.61, "word": " the", "probability": 0.8046875}, {"start": 690.61, "end": 691.03, "word": " series", "probability": 0.921875}, {"start": 691.03, "end": 691.67, "word": " converge", "probability": 0.9482421875}, {"start": 691.67, "end": 692.61, "word": " ال", "probability": 0.451416015625}, {"start": 692.61, "end": 692.73, "word": " series", "probability": 0.378662109375}, {"start": 692.73, "end": 693.21, "word": " تبعتنا", "probability": 0.967041015625}, {"start": 693.21, "end": 693.75, "word": " converge", "probability": 0.9091796875}, {"start": 693.75, "end": 696.07, "word": " الان", "probability": 0.59930419921875}, {"start": 696.07, "end": 696.63, "word": " احنا", "probability": 0.91650390625}, {"start": 696.63, "end": 697.13, "word": " اتعرفنا", "probability": 0.870068359375}, {"start": 697.13, "end": 697.31, "word": " في", "probability": 0.861328125}, {"start": 697.31, "end": 698.21, "word": " التكامل", "probability": 0.978271484375}, {"start": 698.21, "end": 698.39, "word": " في", "probability": 0.87548828125}, {"start": 698.39, "end": 698.69, "word": " علنا", "probability": 0.6470947265625}, {"start": 698.69, "end": 698.89, "word": " اللي", "probability": 0.8984375}, {"start": 698.89, "end": 699.09, "word": " هو", "probability": 0.9853515625}, {"start": 699.09, "end": 699.37, "word": " P", "probability": 0.9453125}, {"start": 699.37, "end": 700.05, "word": " integral", "probability": 0.521484375}, {"start": 700.05, "end": 700.67, "word": " هنا", "probability": 0.97802734375}, {"start": 700.67, "end": 701.11, "word": " كمان", "probability": 0.9959309895833334}], "temperature": 1.0}, {"id": 30, "seek": 72732, "start": 701.46, "end": 727.32, "text": "بالمقابل لها P Series P Series مثل P Integral بس بدل التكامل بنحط ال summation فبدل التكامل بنحط ال summation طبعا من واحد لما لا نهاية برضه واحد على N أس P طبعا P دائما موجبة P هذه دائما موجبة لازم تكون P أكبر من السكر وعرفنا بال test integral هذا ال test integral لما ال P تكون أكبر من واحد convert و P أقل أو يسوى واحد", "tokens": [3555, 45340, 4587, 16758, 1211, 5296, 11296, 430, 13934, 430, 13934, 50113, 1211, 430, 23894, 304, 4724, 3794, 47525, 1211, 16712, 4117, 10943, 1211, 44945, 5016, 9566, 2423, 28811, 6156, 44510, 1211, 16712, 4117, 10943, 1211, 44945, 5016, 9566, 2423, 28811, 23032, 3555, 3615, 995, 9154, 36764, 24401, 5296, 15042, 20193, 8717, 11296, 10632, 4724, 43042, 3224, 36764, 24401, 15844, 426, 5551, 3794, 430, 23032, 3555, 3615, 995, 430, 11778, 16373, 15042, 3714, 29245, 49401, 430, 29538, 11778, 16373, 15042, 3714, 29245, 49401, 5296, 31377, 2304, 6055, 30544, 430, 5551, 4117, 26890, 9154, 21136, 37983, 4032, 3615, 28480, 8315, 20666, 1500, 11573, 23758, 2423, 1500, 11573, 5296, 15042, 2423, 430, 6055, 30544, 5551, 4117, 26890, 9154, 36764, 24401, 7620, 4032, 430, 5551, 4587, 1211, 34051, 7251, 3794, 2407, 7578, 36764, 24401], "avg_logprob": -0.32552083920348773, "compression_ratio": 1.952755905511811, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 701.46, "end": 702.24, "word": "بالمقابل", "probability": 0.8396484375}, {"start": 702.24, "end": 702.46, "word": " لها", "probability": 0.6522216796875}, {"start": 702.46, "end": 702.96, "word": " P", "probability": 0.2646484375}, {"start": 702.96, "end": 703.76, "word": " Series", "probability": 0.5556640625}, {"start": 703.76, "end": 704.26, "word": " P", "probability": 0.486328125}, {"start": 704.26, "end": 704.66, "word": " Series", "probability": 0.472900390625}, {"start": 704.66, "end": 704.94, "word": " مثل", "probability": 0.799072265625}, {"start": 704.94, "end": 705.16, "word": " P", "probability": 0.88037109375}, {"start": 705.16, "end": 705.72, "word": " Integral", "probability": 0.81396484375}, {"start": 705.72, "end": 705.92, "word": " بس", "probability": 0.75439453125}, {"start": 705.92, "end": 706.18, "word": " بدل", "probability": 0.776123046875}, {"start": 706.18, "end": 706.64, "word": " التكامل", "probability": 0.937255859375}, {"start": 706.64, "end": 707.16, "word": " بنحط", "probability": 0.5641276041666666}, {"start": 707.16, "end": 707.58, "word": " ال", "probability": 0.302490234375}, {"start": 707.58, "end": 708.02, "word": " summation", "probability": 0.46533203125}, {"start": 708.02, "end": 709.08, "word": " فبدل", "probability": 0.6650390625}, {"start": 709.08, "end": 709.52, "word": " التكامل", "probability": 0.9715576171875}, {"start": 709.52, "end": 709.76, "word": " بنحط", "probability": 0.7850748697916666}, {"start": 709.76, "end": 709.88, "word": " ال", "probability": 0.7724609375}, {"start": 709.88, "end": 710.32, "word": " summation", "probability": 0.93408203125}, {"start": 710.32, "end": 710.72, "word": " طبعا", "probability": 0.86688232421875}, {"start": 710.72, "end": 710.86, "word": " من", "probability": 0.9482421875}, {"start": 710.86, "end": 711.22, "word": " واحد", "probability": 0.642578125}, {"start": 711.22, "end": 711.46, "word": " لما", "probability": 0.666748046875}, {"start": 711.46, "end": 711.56, "word": " لا", "probability": 0.47607421875}, {"start": 711.56, "end": 711.94, "word": " نهاية", "probability": 0.89453125}, {"start": 711.94, "end": 712.28, "word": " برضه", "probability": 0.8009440104166666}, {"start": 712.28, "end": 712.96, "word": " واحد", "probability": 0.914306640625}, {"start": 712.96, "end": 713.14, "word": " على", "probability": 0.72314453125}, {"start": 713.14, "end": 713.38, "word": " N", "probability": 0.57763671875}, {"start": 713.38, "end": 713.64, "word": " أس", "probability": 0.38671875}, {"start": 713.64, "end": 713.86, "word": " P", "probability": 0.9140625}, {"start": 713.86, "end": 714.32, "word": " طبعا", "probability": 0.8916015625}, {"start": 714.32, "end": 714.48, "word": " P", "probability": 0.72216796875}, {"start": 714.48, "end": 714.86, "word": " دائما", "probability": 0.8712565104166666}, {"start": 714.86, "end": 715.28, "word": " موجبة", "probability": 0.9524739583333334}, {"start": 715.28, "end": 715.62, "word": " P", "probability": 0.47998046875}, {"start": 715.62, "end": 715.88, "word": " هذه", "probability": 0.25927734375}, {"start": 715.88, "end": 716.74, "word": " دائما", "probability": 0.88720703125}, {"start": 716.74, "end": 717.52, "word": " موجبة", "probability": 0.96923828125}, {"start": 717.52, "end": 717.84, "word": " لازم", "probability": 0.9417317708333334}, {"start": 717.84, "end": 718.18, "word": " تكون", "probability": 0.931640625}, {"start": 718.18, "end": 718.6, "word": " P", "probability": 0.96923828125}, {"start": 718.6, "end": 719.04, "word": " أكبر", "probability": 0.9422200520833334}, {"start": 719.04, "end": 719.28, "word": " من", "probability": 0.97998046875}, {"start": 719.28, "end": 719.86, "word": " السكر", "probability": 0.333282470703125}, {"start": 719.86, "end": 720.56, "word": " وعرفنا", "probability": 0.8109130859375}, {"start": 720.56, "end": 720.72, "word": " بال", "probability": 0.72509765625}, {"start": 720.72, "end": 721.22, "word": " test", "probability": 0.466796875}, {"start": 721.22, "end": 721.22, "word": " integral", "probability": 0.1783447265625}, {"start": 721.22, "end": 721.92, "word": " هذا", "probability": 0.64404296875}, {"start": 721.92, "end": 722.44, "word": " ال", "probability": 0.60986328125}, {"start": 722.44, "end": 722.76, "word": " test", "probability": 0.94140625}, {"start": 722.76, "end": 723.34, "word": " integral", "probability": 0.6865234375}, {"start": 723.34, "end": 723.96, "word": " لما", "probability": 0.804931640625}, {"start": 723.96, "end": 724.08, "word": " ال", "probability": 0.394287109375}, {"start": 724.08, "end": 724.22, "word": " P", "probability": 0.9677734375}, {"start": 724.22, "end": 724.52, "word": " تكون", "probability": 0.77783203125}, {"start": 724.52, "end": 724.84, "word": " أكبر", "probability": 0.9007161458333334}, {"start": 724.84, "end": 724.98, "word": " من", "probability": 0.99072265625}, {"start": 724.98, "end": 725.26, "word": " واحد", "probability": 0.864990234375}, {"start": 725.26, "end": 725.7, "word": " convert", "probability": 0.2303466796875}, {"start": 725.7, "end": 726.1, "word": " و", "probability": 0.8857421875}, {"start": 726.1, "end": 726.24, "word": " P", "probability": 0.5009765625}, {"start": 726.24, "end": 726.52, "word": " أقل", "probability": 0.9554036458333334}, {"start": 726.52, "end": 726.66, "word": " أو", "probability": 0.677734375}, {"start": 726.66, "end": 726.9, "word": " يسوى", "probability": 0.775146484375}, {"start": 726.9, "end": 727.32, "word": " واحد", "probability": 0.94580078125}], "temperature": 1.0}, {"id": 31, "seek": 75258, "start": 728.36, "end": 752.58, "text": "الان نشوف ال P Series هل نفس الشروط اللى تبعت ال P Integral ولا لأ ال P Series بقول ال P Series summation 1 على N أقص P converges إذا كانت ال P أكبر من 1 و diverges P أقل أو ساوي 1 يبقى نفس الاشي زى ال P Integral و هذا الكلام بدنا نثبته prove بدنا نثبت هذه النظرية عن طريق ال Integral Test", "tokens": [6027, 7649, 8717, 8592, 38688, 2423, 430, 13934, 8032, 1211, 8717, 36178, 25124, 32887, 9566, 13672, 7578, 6055, 3555, 34268, 2423, 430, 23894, 304, 49429, 5296, 10721, 2423, 430, 13934, 4724, 39648, 2423, 430, 13934, 28811, 502, 15844, 426, 5551, 4587, 9381, 430, 9652, 2880, 11933, 15730, 25961, 2655, 2423, 430, 5551, 4117, 26890, 9154, 502, 4032, 18558, 2880, 430, 5551, 4587, 1211, 34051, 8608, 995, 45865, 502, 7251, 3555, 4587, 7578, 8717, 36178, 2423, 33599, 1829, 30767, 7578, 2423, 430, 23894, 304, 4032, 23758, 2423, 28820, 10943, 47525, 8315, 8717, 12984, 3555, 47395, 7081, 47525, 8315, 8717, 12984, 3555, 2655, 29538, 28239, 19913, 2288, 10632, 18871, 23032, 16572, 4587, 2423, 23894, 304, 9279], "avg_logprob": -0.22948369176491448, "compression_ratio": 1.7276422764227641, "no_speech_prob": 0.0, "words": [{"start": 728.36, "end": 728.8, "word": "الان", "probability": 0.749755859375}, {"start": 728.8, "end": 729.06, "word": " نشوف", "probability": 0.85791015625}, {"start": 729.06, "end": 729.18, "word": " ال", "probability": 0.72021484375}, {"start": 729.18, "end": 729.3, "word": " P", "probability": 0.444091796875}, {"start": 729.3, "end": 729.68, "word": " Series", "probability": 0.478515625}, {"start": 729.68, "end": 729.96, "word": " هل", "probability": 0.779296875}, {"start": 729.96, "end": 730.32, "word": " نفس", "probability": 0.87158203125}, {"start": 730.32, "end": 730.9, "word": " الشروط", "probability": 0.9407552083333334}, {"start": 730.9, "end": 731.24, "word": " اللى", "probability": 0.5546875}, {"start": 731.24, "end": 731.68, "word": " تبعت", "probability": 0.8984375}, {"start": 731.68, "end": 732.48, "word": " ال", "probability": 0.837890625}, {"start": 732.48, "end": 734.82, "word": " P", "probability": 0.72802734375}, {"start": 734.82, "end": 735.34, "word": " Integral", "probability": 0.781005859375}, {"start": 735.34, "end": 735.5, "word": " ولا", "probability": 0.5615234375}, {"start": 735.5, "end": 735.76, "word": " لأ", "probability": 0.912109375}, {"start": 735.76, "end": 736.42, "word": " ال", "probability": 0.607421875}, {"start": 736.42, "end": 736.64, "word": " P", "probability": 0.94873046875}, {"start": 736.64, "end": 737.1, "word": " Series", "probability": 0.88623046875}, {"start": 737.1, "end": 737.38, "word": " بقول", "probability": 0.864501953125}, {"start": 737.38, "end": 737.52, "word": " ال", "probability": 0.69970703125}, {"start": 737.52, "end": 737.74, "word": " P", "probability": 0.9482421875}, {"start": 737.74, "end": 738.14, "word": " Series", "probability": 0.951171875}, {"start": 738.14, "end": 738.58, "word": " summation", "probability": 0.50146484375}, {"start": 738.58, "end": 738.84, "word": " 1", "probability": 0.86669921875}, {"start": 738.84, "end": 739.06, "word": " على", "probability": 0.50927734375}, {"start": 739.06, "end": 739.24, "word": " N", "probability": 0.51123046875}, {"start": 739.24, "end": 739.44, "word": " أقص", "probability": 0.4490559895833333}, {"start": 739.44, "end": 739.64, "word": " P", "probability": 0.84033203125}, {"start": 739.64, "end": 740.48, "word": " converges", "probability": 0.6505126953125}, {"start": 740.48, "end": 740.72, "word": " إذا", "probability": 0.82958984375}, {"start": 740.72, "end": 741.0, "word": " كانت", "probability": 0.84765625}, {"start": 741.0, "end": 741.1, "word": " ال", "probability": 0.55322265625}, {"start": 741.1, "end": 741.22, "word": " P", "probability": 0.98681640625}, {"start": 741.22, "end": 741.54, "word": " أكبر", "probability": 0.9698893229166666}, {"start": 741.54, "end": 741.7, "word": " من", "probability": 0.98779296875}, {"start": 741.7, "end": 742.0, "word": " 1", "probability": 0.8544921875}, {"start": 742.0, "end": 742.36, "word": " و", "probability": 0.94189453125}, {"start": 742.36, "end": 742.92, "word": " diverges", "probability": 0.618408203125}, {"start": 742.92, "end": 743.08, "word": " P", "probability": 0.484375}, {"start": 743.08, "end": 743.36, "word": " أقل", "probability": 0.9752604166666666}, {"start": 743.36, "end": 743.52, "word": " أو", "probability": 0.89453125}, {"start": 743.52, "end": 743.86, "word": " ساوي", "probability": 0.8878580729166666}, {"start": 743.86, "end": 744.1, "word": " 1", "probability": 0.7509765625}, {"start": 744.1, "end": 744.36, "word": " يبقى", "probability": 0.96142578125}, {"start": 744.36, "end": 744.62, "word": " نفس", "probability": 0.9951171875}, {"start": 744.62, "end": 744.96, "word": " الاشي", "probability": 0.772705078125}, {"start": 744.96, "end": 745.24, "word": " زى", "probability": 0.847412109375}, {"start": 745.24, "end": 745.72, "word": " ال", "probability": 0.89306640625}, {"start": 745.72, "end": 745.94, "word": " P", "probability": 0.9892578125}, {"start": 745.94, "end": 746.82, "word": " Integral", "probability": 0.872802734375}, {"start": 746.82, "end": 747.22, "word": " و", "probability": 0.424072265625}, {"start": 747.22, "end": 747.4, "word": " هذا", "probability": 0.498291015625}, {"start": 747.4, "end": 747.78, "word": " الكلام", "probability": 0.9578450520833334}, {"start": 747.78, "end": 748.04, "word": " بدنا", "probability": 0.84375}, {"start": 748.04, "end": 748.52, "word": " نثبته", "probability": 0.946044921875}, {"start": 748.52, "end": 748.82, "word": " prove", "probability": 0.578125}, {"start": 748.82, "end": 749.64, "word": " بدنا", "probability": 0.6981201171875}, {"start": 749.64, "end": 749.96, "word": " نثبت", "probability": 0.9803466796875}, {"start": 749.96, "end": 750.14, "word": " هذه", "probability": 0.9287109375}, {"start": 750.14, "end": 750.78, "word": " النظرية", "probability": 0.9588623046875}, {"start": 750.78, "end": 751.26, "word": " عن", "probability": 0.8505859375}, {"start": 751.26, "end": 751.56, "word": " طريق", "probability": 0.98779296875}, {"start": 751.56, "end": 751.66, "word": " ال", "probability": 0.99072265625}, {"start": 751.66, "end": 752.22, "word": " Integral", "probability": 0.70166015625}, {"start": 752.22, "end": 752.58, "word": " Test", "probability": 0.79541015625}], "temperature": 1.0}, {"id": 32, "seek": 76893, "start": 753.89, "end": 768.93, "text": "الان ال A نحوّلها F إلى F of N 1 على N أُس P هو N أكبر أوزه واحد ال N من ال واحد طبعاً للملنياية ونطبق التلت شروط على ال F هذه أول شيء ال F of N طبعاً موجبة لأن ال N أُس P دائما موجبة", "tokens": [6027, 7649, 2423, 316, 8717, 5016, 2407, 11703, 1211, 11296, 479, 30731, 479, 295, 426, 502, 15844, 426, 5551, 10859, 3794, 430, 31439, 426, 5551, 4117, 26890, 34051, 11622, 3224, 36764, 24401, 2423, 426, 9154, 2423, 36764, 24401, 23032, 3555, 3615, 995, 14111, 5296, 19528, 1211, 22653, 995, 10632, 4032, 1863, 9566, 3555, 4587, 16712, 1211, 2655, 13412, 32887, 9566, 15844, 2423, 479, 29538, 5551, 12610, 44049, 38207, 2423, 479, 295, 426, 23032, 3555, 3615, 995, 14111, 3714, 29245, 49401, 5296, 33456, 2423, 426, 5551, 10859, 3794, 430, 11778, 16373, 15042, 3714, 29245, 49401], "avg_logprob": -0.3222039467410037, "compression_ratio": 1.644808743169399, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 753.89, "end": 754.31, "word": "الان", "probability": 0.711669921875}, {"start": 754.31, "end": 754.53, "word": " ال", "probability": 0.41845703125}, {"start": 754.53, "end": 754.67, "word": " A", "probability": 0.255126953125}, {"start": 754.67, "end": 755.31, "word": " نحوّلها", "probability": 0.7135416666666666}, {"start": 755.31, "end": 755.57, "word": " F", "probability": 0.84814453125}, {"start": 755.57, "end": 755.87, "word": " إلى", "probability": 0.53662109375}, {"start": 755.87, "end": 756.09, "word": " F", "probability": 0.8515625}, {"start": 756.09, "end": 756.25, "word": " of", "probability": 0.66064453125}, {"start": 756.25, "end": 756.45, "word": " N", "probability": 0.7919921875}, {"start": 756.45, "end": 756.73, "word": " 1", "probability": 0.256591796875}, {"start": 756.73, "end": 756.95, "word": " على", "probability": 0.444091796875}, {"start": 756.95, "end": 757.11, "word": " N", "probability": 0.904296875}, {"start": 757.11, "end": 757.33, "word": " أُس", "probability": 0.5183919270833334}, {"start": 757.33, "end": 757.55, "word": " P", "probability": 0.9677734375}, {"start": 757.55, "end": 757.99, "word": " هو", "probability": 0.27294921875}, {"start": 757.99, "end": 758.33, "word": " N", "probability": 0.8984375}, {"start": 758.33, "end": 758.77, "word": " أكبر", "probability": 0.951171875}, {"start": 758.77, "end": 759.17, "word": " أوزه", "probability": 0.44287109375}, {"start": 759.17, "end": 759.59, "word": " واحد", "probability": 0.843505859375}, {"start": 759.59, "end": 759.77, "word": " ال", "probability": 0.49951171875}, {"start": 759.77, "end": 760.03, "word": " N", "probability": 0.57666015625}, {"start": 760.03, "end": 760.33, "word": " من", "probability": 0.986328125}, {"start": 760.33, "end": 760.45, "word": " ال", "probability": 0.86474609375}, {"start": 760.45, "end": 760.69, "word": " واحد", "probability": 0.71044921875}, {"start": 760.69, "end": 761.01, "word": " طبعاً", "probability": 0.73291015625}, {"start": 761.01, "end": 761.73, "word": " للملنياية", "probability": 0.6439615885416666}, {"start": 761.73, "end": 762.63, "word": " ونطبق", "probability": 0.856298828125}, {"start": 762.63, "end": 762.99, "word": " التلت", "probability": 0.8489583333333334}, {"start": 762.99, "end": 763.33, "word": " شروط", "probability": 0.92578125}, {"start": 763.33, "end": 763.53, "word": " على", "probability": 0.89111328125}, {"start": 763.53, "end": 763.69, "word": " ال", "probability": 0.943359375}, {"start": 763.69, "end": 763.87, "word": " F", "probability": 0.86181640625}, {"start": 763.87, "end": 764.21, "word": " هذه", "probability": 0.6865234375}, {"start": 764.21, "end": 764.81, "word": " أول", "probability": 0.860595703125}, {"start": 764.81, "end": 765.03, "word": " شيء", "probability": 0.54718017578125}, {"start": 765.03, "end": 765.09, "word": " ال", "probability": 0.396240234375}, {"start": 765.09, "end": 765.23, "word": " F", "probability": 0.9501953125}, {"start": 765.23, "end": 765.37, "word": " of", "probability": 0.95263671875}, {"start": 765.37, "end": 765.51, "word": " N", "probability": 0.98388671875}, {"start": 765.51, "end": 765.91, "word": " طبعاً", "probability": 0.934765625}, {"start": 765.91, "end": 766.31, "word": " موجبة", "probability": 0.9736328125}, {"start": 766.31, "end": 766.91, "word": " لأن", "probability": 0.751953125}, {"start": 766.91, "end": 767.27, "word": " ال", "probability": 0.6181640625}, {"start": 767.27, "end": 767.69, "word": " N", "probability": 0.90087890625}, {"start": 767.69, "end": 767.93, "word": " أُس", "probability": 0.9140625}, {"start": 767.93, "end": 768.05, "word": " P", "probability": 0.990234375}, {"start": 768.05, "end": 768.43, "word": " دائما", "probability": 0.9088541666666666}, {"start": 768.43, "end": 768.93, "word": " موجبة", "probability": 0.93359375}], "temperature": 1.0}, {"id": 33, "seek": 78928, "start": 769.46, "end": 789.28, "text": "نمر اتنين ال F of N continuous ما عدا عند السفر و ال N لكسا و سفر ال N بادية من واحد يبقى من واحد لما لنهاية continuous التفاضل تبعها اللي هي ناقص P على N أس واحد زائد P طبعا ال P موجبة وهذه موجبة فبيطلقنا الإشارة إذا هذا سالب for all N أو من واحد لما لنهاية يعني", "tokens": [1863, 29973, 1975, 2655, 1863, 9957, 2423, 479, 295, 426, 10957, 19446, 6225, 28259, 43242, 21136, 5172, 2288, 4032, 2423, 426, 5296, 4117, 3794, 995, 4032, 8608, 5172, 2288, 2423, 426, 4724, 18513, 10632, 9154, 36764, 24401, 7251, 3555, 4587, 7578, 9154, 36764, 24401, 5296, 15042, 5296, 1863, 11296, 10632, 10957, 16712, 5172, 46958, 1211, 6055, 3555, 3615, 11296, 13672, 1829, 39896, 8717, 995, 4587, 9381, 430, 15844, 426, 5551, 3794, 36764, 24401, 30767, 16373, 3215, 430, 23032, 3555, 3615, 995, 2423, 430, 3714, 29245, 49401, 37037, 24192, 3714, 29245, 49401, 6156, 21292, 9566, 1211, 4587, 8315, 33688, 8592, 9640, 3660, 11933, 15730, 23758, 8608, 6027, 3555, 337, 439, 426, 34051, 9154, 36764, 24401, 5296, 15042, 5296, 1863, 3224, 995, 10632, 37495, 22653], "avg_logprob": -0.2721774258440541, "compression_ratio": 1.799163179916318, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 769.46, "end": 770.0, "word": "نمر", "probability": 0.618408203125}, {"start": 770.0, "end": 770.26, "word": " اتنين", "probability": 0.6566162109375}, {"start": 770.26, "end": 770.4, "word": " ال", "probability": 0.381103515625}, {"start": 770.4, "end": 770.52, "word": " F", "probability": 0.397216796875}, {"start": 770.52, "end": 770.7, "word": " of", "probability": 0.52685546875}, {"start": 770.7, "end": 770.8, "word": " N", "probability": 0.58349609375}, {"start": 770.8, "end": 771.52, "word": " continuous", "probability": 0.86962890625}, {"start": 771.52, "end": 771.8, "word": " ما", "probability": 0.55908203125}, {"start": 771.8, "end": 772.0, "word": " عدا", "probability": 0.837890625}, {"start": 772.0, "end": 772.26, "word": " عند", "probability": 0.65380859375}, {"start": 772.26, "end": 772.72, "word": " السفر", "probability": 0.7423502604166666}, {"start": 772.72, "end": 772.86, "word": " و", "probability": 0.4208984375}, {"start": 772.86, "end": 773.22, "word": " ال", "probability": 0.43798828125}, {"start": 773.22, "end": 773.38, "word": " N", "probability": 0.607421875}, {"start": 773.38, "end": 773.72, "word": " لكسا", "probability": 0.64569091796875}, {"start": 773.72, "end": 773.8, "word": " و", "probability": 0.79052734375}, {"start": 773.8, "end": 774.08, "word": " سفر", "probability": 0.96240234375}, {"start": 774.08, "end": 774.32, "word": " ال", "probability": 0.57080078125}, {"start": 774.32, "end": 774.52, "word": " N", "probability": 0.60595703125}, {"start": 774.52, "end": 774.82, "word": " بادية", "probability": 0.6090087890625}, {"start": 774.82, "end": 774.98, "word": " من", "probability": 0.99365234375}, {"start": 774.98, "end": 775.3, "word": " واحد", "probability": 0.907958984375}, {"start": 775.3, "end": 775.54, "word": " يبقى", "probability": 0.942138671875}, {"start": 775.54, "end": 775.66, "word": " من", "probability": 0.98486328125}, {"start": 775.66, "end": 775.9, "word": " واحد", "probability": 0.97021484375}, {"start": 775.9, "end": 776.12, "word": " لما", "probability": 0.76953125}, {"start": 776.12, "end": 776.42, "word": " لنهاية", "probability": 0.7216796875}, {"start": 776.42, "end": 776.9, "word": " continuous", "probability": 0.8974609375}, {"start": 776.9, "end": 778.26, "word": " التفاضل", "probability": 0.9459228515625}, {"start": 778.26, "end": 778.82, "word": " تبعها", "probability": 0.9300537109375}, {"start": 778.82, "end": 779.32, "word": " اللي", "probability": 0.770751953125}, {"start": 779.32, "end": 779.54, "word": " هي", "probability": 0.853515625}, {"start": 779.54, "end": 779.92, "word": " ناقص", "probability": 0.8980712890625}, {"start": 779.92, "end": 780.14, "word": " P", "probability": 0.931640625}, {"start": 780.14, "end": 780.66, "word": " على", "probability": 0.6796875}, {"start": 780.66, "end": 781.02, "word": " N", "probability": 0.8857421875}, {"start": 781.02, "end": 781.32, "word": " أس", "probability": 0.4617919921875}, {"start": 781.32, "end": 781.6, "word": " واحد", "probability": 0.97265625}, {"start": 781.6, "end": 781.92, "word": " زائد", "probability": 0.6612955729166666}, {"start": 781.92, "end": 782.22, "word": " P", "probability": 0.98681640625}, {"start": 782.22, "end": 782.72, "word": " طبعا", "probability": 0.9466552734375}, {"start": 782.72, "end": 782.82, "word": " ال", "probability": 0.93896484375}, {"start": 782.82, "end": 783.02, "word": " P", "probability": 0.9853515625}, {"start": 783.02, "end": 783.48, "word": " موجبة", "probability": 0.9781901041666666}, {"start": 783.48, "end": 783.88, "word": " وهذه", "probability": 0.3604736328125}, {"start": 783.88, "end": 784.28, "word": " موجبة", "probability": 0.9851888020833334}, {"start": 784.28, "end": 784.84, "word": " فبيطلقنا", "probability": 0.674560546875}, {"start": 784.84, "end": 785.28, "word": " الإشارة", "probability": 0.959716796875}, {"start": 785.28, "end": 785.46, "word": " إذا", "probability": 0.59228515625}, {"start": 785.46, "end": 785.68, "word": " هذا", "probability": 0.68408203125}, {"start": 785.68, "end": 786.16, "word": " سالب", "probability": 0.88134765625}, {"start": 786.16, "end": 786.62, "word": " for", "probability": 0.884765625}, {"start": 786.62, "end": 786.9, "word": " all", "probability": 0.91650390625}, {"start": 786.9, "end": 787.16, "word": " N", "probability": 0.7578125}, {"start": 787.16, "end": 787.78, "word": " أو", "probability": 0.7626953125}, {"start": 787.78, "end": 787.98, "word": " من", "probability": 0.9921875}, {"start": 787.98, "end": 788.28, "word": " واحد", "probability": 0.989990234375}, {"start": 788.28, "end": 788.52, "word": " لما", "probability": 0.933837890625}, {"start": 788.52, "end": 788.98, "word": " لنهاية", "probability": 0.88232421875}, {"start": 788.98, "end": 789.28, "word": " يعني", "probability": 0.90087890625}], "temperature": 1.0}, {"id": 34, "seek": 81548, "start": 789.56, "end": 815.48, "text": "وطبعا ال P هنا عيش موجبة إذا الشروط التلاتة الطبقة يبقى بال Integral test فنحول ال summation هذه إلى Integral ونشيل N ونحط بدالها X فبصير التكامل من 1 لما لنهاية DX على X أُس P لأن هذا التكامل هو ال P Integral يبقى لما نشيل ال C ونحط بدالها تكامل صار عنا عيش P Integral و ال P Integral تبقى converge إذا كانت ال P أكبر من 1 وDiverge إذا كانت P أقل أو يساوي 1", "tokens": [2407, 9566, 3555, 3615, 995, 2423, 430, 34105, 6225, 1829, 8592, 3714, 29245, 49401, 11933, 15730, 25124, 32887, 9566, 16712, 1211, 9307, 3660, 41950, 3555, 28671, 7251, 3555, 4587, 7578, 20666, 5681, 1146, 2155, 1500, 6156, 1863, 5016, 12610, 2423, 28811, 29538, 30731, 5681, 1146, 2155, 4032, 1863, 8592, 26895, 426, 4032, 1863, 5016, 9566, 47525, 6027, 11296, 1783, 6156, 3555, 9381, 13546, 16712, 4117, 10943, 1211, 9154, 502, 5296, 15042, 5296, 1863, 3224, 995, 10632, 48817, 15844, 1783, 5551, 10859, 3794, 430, 5296, 33456, 23758, 16712, 4117, 10943, 1211, 31439, 2423, 430, 23894, 304, 7251, 3555, 4587, 7578, 5296, 15042, 8717, 8592, 26895, 2423, 383, 4032, 1863, 5016, 9566, 47525, 6027, 11296, 6055, 4117, 10943, 1211, 20328, 9640, 6225, 8315, 6225, 1829, 8592, 430, 23894, 304, 4032, 2423, 430, 23894, 304, 6055, 3555, 4587, 7578, 41881, 11933, 15730, 25961, 2655, 2423, 430, 5551, 4117, 26890, 9154, 502, 4032, 35, 1837, 432, 11933, 15730, 25961, 2655, 430, 5551, 4587, 1211, 34051, 7251, 3794, 995, 45865, 502], "avg_logprob": -0.2913548039818952, "compression_ratio": 1.9372822299651569, "no_speech_prob": 6.020069122314453e-06, "words": [{"start": 789.56, "end": 790.18, "word": "وطبعا", "probability": 0.7173828125}, {"start": 790.18, "end": 790.28, "word": " ال", "probability": 0.57275390625}, {"start": 790.28, "end": 790.4, "word": " P", "probability": 0.72119140625}, {"start": 790.4, "end": 790.66, "word": " هنا", "probability": 0.9287109375}, {"start": 790.66, "end": 790.94, "word": " عيش", "probability": 0.474609375}, {"start": 790.94, "end": 791.42, "word": " موجبة", "probability": 0.7783203125}, {"start": 791.42, "end": 791.88, "word": " إذا", "probability": 0.71240234375}, {"start": 791.88, "end": 792.3, "word": " الشروط", "probability": 0.9202473958333334}, {"start": 792.3, "end": 792.72, "word": " التلاتة", "probability": 0.8028564453125}, {"start": 792.72, "end": 793.2, "word": " الطبقة", "probability": 0.7498372395833334}, {"start": 793.2, "end": 793.6, "word": " يبقى", "probability": 0.92041015625}, {"start": 793.6, "end": 793.72, "word": " بال", "probability": 0.92626953125}, {"start": 793.72, "end": 794.26, "word": " Integral", "probability": 0.5950113932291666}, {"start": 794.26, "end": 794.5, "word": " test", "probability": 0.39404296875}, {"start": 794.5, "end": 795.14, "word": " فنحول", "probability": 0.70037841796875}, {"start": 795.14, "end": 795.32, "word": " ال", "probability": 0.76025390625}, {"start": 795.32, "end": 795.76, "word": " summation", "probability": 0.84912109375}, {"start": 795.76, "end": 796.06, "word": " هذه", "probability": 0.53564453125}, {"start": 796.06, "end": 796.24, "word": " إلى", "probability": 0.70751953125}, {"start": 796.24, "end": 796.78, "word": " Integral", "probability": 0.715087890625}, {"start": 796.78, "end": 797.18, "word": " ونشيل", "probability": 0.795166015625}, {"start": 797.18, "end": 797.36, "word": " N", "probability": 0.1845703125}, {"start": 797.36, "end": 797.58, "word": " ونحط", "probability": 0.6162109375}, {"start": 797.58, "end": 798.12, "word": " بدالها", "probability": 0.8317057291666666}, {"start": 798.12, "end": 798.84, "word": " X", "probability": 0.91748046875}, {"start": 798.84, "end": 799.26, "word": " فبصير", "probability": 0.842041015625}, {"start": 799.26, "end": 799.76, "word": " التكامل", "probability": 0.9771728515625}, {"start": 799.76, "end": 799.9, "word": " من", "probability": 0.9853515625}, {"start": 799.9, "end": 800.18, "word": " 1", "probability": 0.6904296875}, {"start": 800.18, "end": 800.46, "word": " لما", "probability": 0.883056640625}, {"start": 800.46, "end": 801.0, "word": " لنهاية", "probability": 0.758447265625}, {"start": 801.0, "end": 801.52, "word": " DX", "probability": 0.479248046875}, {"start": 801.52, "end": 801.82, "word": " على", "probability": 0.55078125}, {"start": 801.82, "end": 802.12, "word": " X", "probability": 0.951171875}, {"start": 802.12, "end": 802.38, "word": " أُس", "probability": 0.4903971354166667}, {"start": 802.38, "end": 802.78, "word": " P", "probability": 0.85302734375}, {"start": 802.78, "end": 803.08, "word": " لأن", "probability": 0.6060791015625}, {"start": 803.08, "end": 803.28, "word": " هذا", "probability": 0.8974609375}, {"start": 803.28, "end": 803.76, "word": " التكامل", "probability": 0.9918212890625}, {"start": 803.76, "end": 803.96, "word": " هو", "probability": 0.97412109375}, {"start": 803.96, "end": 804.14, "word": " ال", "probability": 0.4658203125}, {"start": 804.14, "end": 804.34, "word": " P", "probability": 0.9794921875}, {"start": 804.34, "end": 805.12, "word": " Integral", "probability": 0.759765625}, {"start": 805.12, "end": 805.66, "word": " يبقى", "probability": 0.9344482421875}, {"start": 805.66, "end": 805.84, "word": " لما", "probability": 0.96728515625}, {"start": 805.84, "end": 806.16, "word": " نشيل", "probability": 0.96826171875}, {"start": 806.16, "end": 806.3, "word": " ال", "probability": 0.830078125}, {"start": 806.3, "end": 806.44, "word": " C", "probability": 0.90234375}, {"start": 806.44, "end": 806.72, "word": " ونحط", "probability": 0.776458740234375}, {"start": 806.72, "end": 807.02, "word": " بدالها", "probability": 0.9684244791666666}, {"start": 807.02, "end": 807.44, "word": " تكامل", "probability": 0.9661865234375}, {"start": 807.44, "end": 807.68, "word": " صار", "probability": 0.858642578125}, {"start": 807.68, "end": 807.84, "word": " عنا", "probability": 0.39837646484375}, {"start": 807.84, "end": 808.06, "word": " عيش", "probability": 0.9527994791666666}, {"start": 808.06, "end": 808.36, "word": " P", "probability": 0.9775390625}, {"start": 808.36, "end": 809.32, "word": " Integral", "probability": 0.84765625}, {"start": 809.32, "end": 809.46, "word": " و", "probability": 0.7724609375}, {"start": 809.46, "end": 809.56, "word": " ال", "probability": 0.37158203125}, {"start": 809.56, "end": 809.68, "word": " P", "probability": 0.98486328125}, {"start": 809.68, "end": 810.16, "word": " Integral", "probability": 0.894775390625}, {"start": 810.16, "end": 810.42, "word": " تبقى", "probability": 0.9586181640625}, {"start": 810.42, "end": 810.94, "word": " converge", "probability": 0.82568359375}, {"start": 810.94, "end": 811.16, "word": " إذا", "probability": 0.9150390625}, {"start": 811.16, "end": 811.44, "word": " كانت", "probability": 0.818603515625}, {"start": 811.44, "end": 811.52, "word": " ال", "probability": 0.669921875}, {"start": 811.52, "end": 811.62, "word": " P", "probability": 0.98681640625}, {"start": 811.62, "end": 811.92, "word": " أكبر", "probability": 0.9812825520833334}, {"start": 811.92, "end": 812.06, "word": " من", "probability": 0.99267578125}, {"start": 812.06, "end": 812.42, "word": " 1", "probability": 0.921875}, {"start": 812.42, "end": 813.2, "word": " وDiverge", "probability": 0.586090087890625}, {"start": 813.2, "end": 813.38, "word": " إذا", "probability": 0.9609375}, {"start": 813.38, "end": 813.66, "word": " كانت", "probability": 0.788818359375}, {"start": 813.66, "end": 813.92, "word": " P", "probability": 0.418212890625}, {"start": 813.92, "end": 814.3, "word": " أقل", "probability": 0.9786783854166666}, {"start": 814.3, "end": 814.46, "word": " أو", "probability": 0.84521484375}, {"start": 814.46, "end": 814.92, "word": " يساوي", "probability": 0.938232421875}, {"start": 814.92, "end": 815.48, "word": " 1", "probability": 0.720703125}], "temperature": 1.0}, {"id": 35, "seek": 84531, "start": 815.65, "end": 845.31, "text": "بنفس الأشياء by the integral test ال series ال P series تبعتنا converged ال P أكبر من 1 diverged ال P أقل أو يساوي 1 يبقى P Integra P Series نفس الأشياء لأن هنا بس في تسمية معينة في حالة P تساوي 1 يعني ال summation 1 على N لما ال P تساوي 1 1 على N هذي بيسموها harmonic series بدل ما أقول P يساوي P تساوي 1 بنقول ايش harmonic series يبقى هذه اسمها ال harmonic series", "tokens": [3555, 1863, 36178, 16247, 8592, 1829, 16606, 538, 264, 11573, 1500, 2423, 2638, 2423, 430, 2638, 6055, 3555, 34268, 8315, 9652, 3004, 2423, 430, 5551, 4117, 26890, 9154, 502, 18558, 3004, 2423, 430, 5551, 4587, 1211, 34051, 7251, 3794, 995, 45865, 502, 7251, 3555, 4587, 7578, 430, 5681, 1146, 424, 430, 13934, 8717, 36178, 16247, 8592, 1829, 16606, 5296, 33456, 34105, 4724, 3794, 8978, 6055, 38251, 10632, 20449, 9957, 3660, 8978, 11331, 6027, 3660, 430, 6055, 3794, 995, 45865, 502, 37495, 22653, 2423, 28811, 502, 15844, 426, 5296, 15042, 2423, 430, 6055, 3794, 995, 45865, 502, 502, 15844, 426, 8032, 8848, 1829, 4724, 1829, 38251, 2407, 11296, 32270, 2638, 47525, 1211, 19446, 5551, 39648, 430, 7251, 3794, 995, 45865, 430, 6055, 3794, 995, 45865, 502, 44945, 39648, 1975, 1829, 8592, 32270, 2638, 7251, 3555, 4587, 7578, 29538, 24525, 2304, 11296, 2423, 32270, 2638], "avg_logprob": -0.2903645932674408, "compression_ratio": 1.9479553903345725, "no_speech_prob": 1.2516975402832031e-05, "words": [{"start": 815.65, "end": 816.33, "word": "بنفس", "probability": 0.7903645833333334}, {"start": 816.33, "end": 816.59, "word": " الأشياء", "probability": 0.68621826171875}, {"start": 816.59, "end": 816.75, "word": " by", "probability": 0.1217041015625}, {"start": 816.75, "end": 816.89, "word": " the", "probability": 0.84375}, {"start": 816.89, "end": 817.27, "word": " integral", "probability": 0.80029296875}, {"start": 817.27, "end": 817.63, "word": " test", "probability": 0.9208984375}, {"start": 817.63, "end": 817.87, "word": " ال", "probability": 0.357666015625}, {"start": 817.87, "end": 818.13, "word": " series", "probability": 0.16162109375}, {"start": 818.13, "end": 818.35, "word": " ال", "probability": 0.3115234375}, {"start": 818.35, "end": 818.53, "word": " P", "probability": 0.7861328125}, {"start": 818.53, "end": 818.87, "word": " series", "probability": 0.43310546875}, {"start": 818.87, "end": 819.43, "word": " تبعتنا", "probability": 0.72442626953125}, {"start": 819.43, "end": 820.25, "word": " converged", "probability": 0.39599609375}, {"start": 820.25, "end": 820.43, "word": " ال", "probability": 0.4189453125}, {"start": 820.43, "end": 820.57, "word": " P", "probability": 0.955078125}, {"start": 820.57, "end": 820.85, "word": " أكبر", "probability": 0.9187825520833334}, {"start": 820.85, "end": 820.97, "word": " من", "probability": 0.98681640625}, {"start": 820.97, "end": 821.21, "word": " 1", "probability": 0.80517578125}, {"start": 821.21, "end": 821.77, "word": " diverged", "probability": 0.50653076171875}, {"start": 821.77, "end": 821.95, "word": " ال", "probability": 0.88134765625}, {"start": 821.95, "end": 822.07, "word": " P", "probability": 0.9716796875}, {"start": 822.07, "end": 822.39, "word": " أقل", "probability": 0.9609375}, {"start": 822.39, "end": 822.57, "word": " أو", "probability": 0.87109375}, {"start": 822.57, "end": 822.99, "word": " يساوي", "probability": 0.8868408203125}, {"start": 822.99, "end": 823.65, "word": " 1", "probability": 0.73046875}, {"start": 823.65, "end": 825.39, "word": " يبقى", "probability": 0.883056640625}, {"start": 825.39, "end": 825.59, "word": " P", "probability": 0.9638671875}, {"start": 825.59, "end": 826.23, "word": " Integra", "probability": 0.7696126302083334}, {"start": 826.23, "end": 826.49, "word": " P", "probability": 0.62646484375}, {"start": 826.49, "end": 826.95, "word": " Series", "probability": 0.810546875}, {"start": 826.95, "end": 827.27, "word": " نفس", "probability": 0.84326171875}, {"start": 827.27, "end": 828.13, "word": " الأشياء", "probability": 0.978271484375}, {"start": 828.13, "end": 828.75, "word": " لأن", "probability": 0.5687255859375}, {"start": 828.75, "end": 829.23, "word": " هنا", "probability": 0.9599609375}, {"start": 829.23, "end": 829.47, "word": " بس", "probability": 0.9072265625}, {"start": 829.47, "end": 829.73, "word": " في", "probability": 0.90869140625}, {"start": 829.73, "end": 830.51, "word": " تسمية", "probability": 0.9772135416666666}, {"start": 830.51, "end": 831.19, "word": " معينة", "probability": 0.9890950520833334}, {"start": 831.19, "end": 831.51, "word": " في", "probability": 0.95166015625}, {"start": 831.51, "end": 831.85, "word": " حالة", "probability": 0.9912109375}, {"start": 831.85, "end": 831.99, "word": " P", "probability": 0.97705078125}, {"start": 831.99, "end": 832.45, "word": " تساوي", "probability": 0.84405517578125}, {"start": 832.45, "end": 832.77, "word": " 1", "probability": 0.89892578125}, {"start": 832.77, "end": 833.07, "word": " يعني", "probability": 0.893798828125}, {"start": 833.07, "end": 833.21, "word": " ال", "probability": 0.423095703125}, {"start": 833.21, "end": 833.53, "word": " summation", "probability": 0.9541015625}, {"start": 833.53, "end": 833.87, "word": " 1", "probability": 0.8583984375}, {"start": 833.87, "end": 834.17, "word": " على", "probability": 0.66162109375}, {"start": 834.17, "end": 834.41, "word": " N", "probability": 0.806640625}, {"start": 834.41, "end": 835.17, "word": " لما", "probability": 0.894287109375}, {"start": 835.17, "end": 835.35, "word": " ال", "probability": 0.6689453125}, {"start": 835.35, "end": 835.49, "word": " P", "probability": 0.98583984375}, {"start": 835.49, "end": 835.81, "word": " تساوي", "probability": 0.927978515625}, {"start": 835.81, "end": 836.05, "word": " 1", "probability": 0.912109375}, {"start": 836.05, "end": 836.31, "word": " 1", "probability": 0.31591796875}, {"start": 836.31, "end": 836.55, "word": " على", "probability": 0.791015625}, {"start": 836.55, "end": 836.69, "word": " N", "probability": 0.94775390625}, {"start": 836.69, "end": 836.85, "word": " هذي", "probability": 0.5039876302083334}, {"start": 836.85, "end": 837.23, "word": " بيسموها", "probability": 0.9216796875}, {"start": 837.23, "end": 837.69, "word": " harmonic", "probability": 0.56298828125}, {"start": 837.69, "end": 838.43, "word": " series", "probability": 0.89697265625}, {"start": 838.43, "end": 838.91, "word": " بدل", "probability": 0.875732421875}, {"start": 838.91, "end": 839.01, "word": " ما", "probability": 0.7412109375}, {"start": 839.01, "end": 839.15, "word": " أقول", "probability": 0.7147216796875}, {"start": 839.15, "end": 839.37, "word": " P", "probability": 0.96484375}, {"start": 839.37, "end": 839.73, "word": " يساوي", "probability": 0.74127197265625}, {"start": 839.73, "end": 839.99, "word": " P", "probability": 0.60986328125}, {"start": 839.99, "end": 840.45, "word": " تساوي", "probability": 0.899658203125}, {"start": 840.45, "end": 840.87, "word": " 1", "probability": 0.9560546875}, {"start": 840.87, "end": 841.55, "word": " بنقول", "probability": 0.860107421875}, {"start": 841.55, "end": 841.75, "word": " ايش", "probability": 0.63232421875}, {"start": 841.75, "end": 842.15, "word": " harmonic", "probability": 0.77880859375}, {"start": 842.15, "end": 842.77, "word": " series", "probability": 0.921875}, {"start": 842.77, "end": 842.95, "word": " يبقى", "probability": 0.80718994140625}, {"start": 842.95, "end": 843.11, "word": " هذه", "probability": 0.51416015625}, {"start": 843.11, "end": 843.63, "word": " اسمها", "probability": 0.908203125}, {"start": 843.63, "end": 844.07, "word": " ال", "probability": 0.72216796875}, {"start": 844.07, "end": 844.49, "word": " harmonic", "probability": 0.94580078125}, {"start": 844.49, "end": 845.31, "word": " series", "probability": 0.9150390625}], "temperature": 1.0}, {"id": 36, "seek": 86664, "start": 846.3, "end": 866.64, "text": "اللي هي الـP Series وP تساوي واحد لان نشوف الأمثلة determine convergence or divergence summation تلاتة على جذر ال N طبعا لو أخدنا التلاتة برا بتصير واحد على N أس نص طبعا هاد ال P Series وP تساوي نص أقل من واحد يبقى ال series تبعتنا diver مباشر على طول", "tokens": [6027, 20292, 39896, 2423, 39184, 47, 13934, 4032, 47, 6055, 3794, 995, 45865, 36764, 24401, 5296, 7649, 8717, 8592, 38688, 16247, 2304, 12984, 37977, 6997, 32181, 420, 47387, 28811, 6055, 1211, 9307, 3660, 15844, 10874, 8848, 2288, 2423, 426, 23032, 3555, 3615, 995, 45164, 5551, 9778, 3215, 8315, 16712, 1211, 9307, 3660, 4724, 23557, 39894, 9381, 13546, 36764, 24401, 15844, 426, 5551, 3794, 8717, 9381, 23032, 3555, 3615, 995, 8032, 18513, 2423, 430, 13934, 4032, 47, 6055, 3794, 995, 45865, 8717, 9381, 5551, 4587, 1211, 9154, 36764, 24401, 7251, 3555, 4587, 7578, 2423, 2638, 6055, 3555, 34268, 8315, 18558, 3714, 3555, 33599, 2288, 15844, 23032, 12610], "avg_logprob": -0.28387850244468615, "compression_ratio": 1.6724890829694323, "no_speech_prob": 5.841255187988281e-06, "words": [{"start": 846.3, "end": 846.54, "word": "اللي", "probability": 0.3262939453125}, {"start": 846.54, "end": 846.68, "word": " هي", "probability": 0.61865234375}, {"start": 846.68, "end": 846.84, "word": " الـP", "probability": 0.502685546875}, {"start": 846.84, "end": 847.14, "word": " Series", "probability": 0.431640625}, {"start": 847.14, "end": 847.4, "word": " وP", "probability": 0.751953125}, {"start": 847.4, "end": 847.78, "word": " تساوي", "probability": 0.7427520751953125}, {"start": 847.78, "end": 848.14, "word": " واحد", "probability": 0.795654296875}, {"start": 848.14, "end": 849.06, "word": " لان", "probability": 0.26409912109375}, {"start": 849.06, "end": 849.26, "word": " نشوف", "probability": 0.9039713541666666}, {"start": 849.26, "end": 849.84, "word": " الأمثلة", "probability": 0.9552001953125}, {"start": 849.84, "end": 850.5, "word": " determine", "probability": 0.26025390625}, {"start": 850.5, "end": 851.26, "word": " convergence", "probability": 0.9404296875}, {"start": 851.26, "end": 851.48, "word": " or", "probability": 0.8291015625}, {"start": 851.48, "end": 852.2, "word": " divergence", "probability": 0.982421875}, {"start": 852.2, "end": 852.92, "word": " summation", "probability": 0.444580078125}, {"start": 852.92, "end": 853.82, "word": " تلاتة", "probability": 0.69683837890625}, {"start": 853.82, "end": 854.16, "word": " على", "probability": 0.79052734375}, {"start": 854.16, "end": 854.66, "word": " جذر", "probability": 0.9453125}, {"start": 854.66, "end": 854.82, "word": " ال", "probability": 0.9287109375}, {"start": 854.82, "end": 855.06, "word": " N", "probability": 0.5400390625}, {"start": 855.06, "end": 856.46, "word": " طبعا", "probability": 0.967529296875}, {"start": 856.46, "end": 856.58, "word": " لو", "probability": 0.94140625}, {"start": 856.58, "end": 856.86, "word": " أخدنا", "probability": 0.8681640625}, {"start": 856.86, "end": 857.26, "word": " التلاتة", "probability": 0.9412841796875}, {"start": 857.26, "end": 857.46, "word": " برا", "probability": 0.931640625}, {"start": 857.46, "end": 857.76, "word": " بتصير", "probability": 0.7687174479166666}, {"start": 857.76, "end": 858.06, "word": " واحد", "probability": 0.985595703125}, {"start": 858.06, "end": 858.22, "word": " على", "probability": 0.77001953125}, {"start": 858.22, "end": 858.4, "word": " N", "probability": 0.498779296875}, {"start": 858.4, "end": 858.58, "word": " أس", "probability": 0.5234375}, {"start": 858.58, "end": 858.78, "word": " نص", "probability": 0.972900390625}, {"start": 858.78, "end": 859.06, "word": " طبعا", "probability": 0.9447021484375}, {"start": 859.06, "end": 859.24, "word": " هاد", "probability": 0.5030517578125}, {"start": 859.24, "end": 859.34, "word": " ال", "probability": 0.487548828125}, {"start": 859.34, "end": 859.62, "word": " P", "probability": 0.82275390625}, {"start": 859.62, "end": 860.46, "word": " Series", "probability": 0.91162109375}, {"start": 860.46, "end": 861.22, "word": " وP", "probability": 0.542724609375}, {"start": 861.22, "end": 862.02, "word": " تساوي", "probability": 0.9771728515625}, {"start": 862.02, "end": 862.52, "word": " نص", "probability": 0.992431640625}, {"start": 862.52, "end": 862.96, "word": " أقل", "probability": 0.9425455729166666}, {"start": 862.96, "end": 863.18, "word": " من", "probability": 0.9931640625}, {"start": 863.18, "end": 863.54, "word": " واحد", "probability": 0.979248046875}, {"start": 863.54, "end": 863.86, "word": " يبقى", "probability": 0.97265625}, {"start": 863.86, "end": 863.96, "word": " ال", "probability": 0.9423828125}, {"start": 863.96, "end": 864.16, "word": " series", "probability": 0.51708984375}, {"start": 864.16, "end": 864.66, "word": " تبعتنا", "probability": 0.69378662109375}, {"start": 864.66, "end": 865.32, "word": " diver", "probability": 0.1309814453125}, {"start": 865.32, "end": 866.2, "word": " مباشر", "probability": 0.8795166015625}, {"start": 866.2, "end": 866.34, "word": " على", "probability": 0.94384765625}, {"start": 866.34, "end": 866.64, "word": " طول", "probability": 0.961669921875}], "temperature": 1.0}, {"id": 37, "seek": 89694, "start": 867.36, "end": 896.94, "text": "Summation ناقص 2 على N الجذر الـ N لو طلعنا الناقص 2 برضه Summation 1 على هنا N أقص 1 و N أقص نص يعني N أقص 3 على 2 طبعا هذه P Series و P تساوي 3 على 2 أكبر من 1 وبالتالي ال Series Convert Series Convert لأن ناقص 8 ال Summation ناقص 8 على N نخلع ناقص 8 برا بظل ال Summation 1 على N طبعا هذه Harmonic Series يكفي أن أقول Harmonic Series Diverses", "tokens": [50, 40879, 399, 8717, 995, 4587, 9381, 568, 15844, 426, 25724, 8848, 2288, 2423, 39184, 426, 45164, 23032, 1211, 3615, 8315, 2423, 8315, 4587, 9381, 568, 4724, 43042, 3224, 8626, 76, 399, 502, 15844, 34105, 426, 5551, 4587, 9381, 502, 4032, 426, 5551, 4587, 9381, 8717, 9381, 37495, 22653, 426, 5551, 4587, 9381, 805, 15844, 568, 23032, 3555, 3615, 995, 29538, 430, 13934, 4032, 430, 6055, 3794, 995, 45865, 805, 15844, 568, 5551, 4117, 26890, 9154, 502, 46599, 6027, 2655, 6027, 1829, 2423, 13934, 2656, 3281, 13934, 2656, 3281, 5296, 33456, 8717, 995, 4587, 9381, 1649, 2423, 8626, 76, 399, 8717, 995, 4587, 9381, 1649, 15844, 426, 8717, 9778, 1211, 3615, 8717, 995, 4587, 9381, 1649, 4724, 23557, 4724, 19913, 1211, 2423, 8626, 76, 399, 502, 15844, 426, 23032, 3555, 3615, 995, 29538, 40599, 299, 13934, 7251, 4117, 41185, 14739, 5551, 39648, 40599, 299, 13934, 413, 1762, 279], "avg_logprob": -0.2953020150229435, "compression_ratio": 1.9958847736625513, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 867.36, "end": 867.96, "word": "Summation", "probability": 0.6463216145833334}, {"start": 867.96, "end": 868.3, "word": " ناقص", "probability": 0.714599609375}, {"start": 868.3, "end": 868.7, "word": " 2", "probability": 0.712890625}, {"start": 868.7, "end": 868.98, "word": " على", "probability": 0.6591796875}, {"start": 868.98, "end": 869.22, "word": " N", "probability": 0.51806640625}, {"start": 869.22, "end": 869.62, "word": " الجذر", "probability": 0.6769612630208334}, {"start": 869.62, "end": 869.84, "word": " الـ", "probability": 0.5687255859375}, {"start": 869.84, "end": 870.02, "word": " N", "probability": 0.68115234375}, {"start": 870.02, "end": 870.62, "word": " لو", "probability": 0.109375}, {"start": 870.62, "end": 871.54, "word": " طلعنا", "probability": 0.9276123046875}, {"start": 871.54, "end": 871.88, "word": " الناقص", "probability": 0.77825927734375}, {"start": 871.88, "end": 872.12, "word": " 2", "probability": 0.875}, {"start": 872.12, "end": 872.5, "word": " برضه", "probability": 0.8857421875}, {"start": 872.5, "end": 873.08, "word": " Summation", "probability": 0.6871744791666666}, {"start": 873.08, "end": 873.36, "word": " 1", "probability": 0.837890625}, {"start": 873.36, "end": 873.76, "word": " على", "probability": 0.76904296875}, {"start": 873.76, "end": 874.7, "word": " هنا", "probability": 0.166259765625}, {"start": 874.7, "end": 874.9, "word": " N", "probability": 0.59912109375}, {"start": 874.9, "end": 875.08, "word": " أقص", "probability": 0.6691080729166666}, {"start": 875.08, "end": 875.32, "word": " 1", "probability": 0.775390625}, {"start": 875.32, "end": 875.48, "word": " و", "probability": 0.9443359375}, {"start": 875.48, "end": 875.6, "word": " N", "probability": 0.7431640625}, {"start": 875.6, "end": 875.8, "word": " أقص", "probability": 0.95751953125}, {"start": 875.8, "end": 876.02, "word": " نص", "probability": 0.955078125}, {"start": 876.02, "end": 876.24, "word": " يعني", "probability": 0.866943359375}, {"start": 876.24, "end": 876.4, "word": " N", "probability": 0.701171875}, {"start": 876.4, "end": 876.6, "word": " أقص", "probability": 0.966796875}, {"start": 876.6, "end": 876.86, "word": " 3", "probability": 0.9091796875}, {"start": 876.86, "end": 877.0, "word": " على", "probability": 0.454345703125}, {"start": 877.0, "end": 877.32, "word": " 2", "probability": 0.97900390625}, {"start": 877.32, "end": 878.1, "word": " طبعا", "probability": 0.9193115234375}, {"start": 878.1, "end": 878.34, "word": " هذه", "probability": 0.55908203125}, {"start": 878.34, "end": 878.68, "word": " P", "probability": 0.81396484375}, {"start": 878.68, "end": 879.26, "word": " Series", "probability": 0.69140625}, {"start": 879.26, "end": 879.56, "word": " و", "probability": 0.6357421875}, {"start": 879.56, "end": 879.84, "word": " P", "probability": 0.6982421875}, {"start": 879.84, "end": 880.34, "word": " تساوي", "probability": 0.82568359375}, {"start": 880.34, "end": 880.76, "word": " 3", "probability": 0.89111328125}, {"start": 880.76, "end": 881.04, "word": " على", "probability": 0.65771484375}, {"start": 881.04, "end": 881.34, "word": " 2", "probability": 0.994140625}, {"start": 881.34, "end": 881.76, "word": " أكبر", "probability": 0.9514973958333334}, {"start": 881.76, "end": 881.94, "word": " من", "probability": 0.98486328125}, {"start": 881.94, "end": 882.24, "word": " 1", "probability": 0.95947265625}, {"start": 882.24, "end": 882.72, "word": " وبالتالي", "probability": 0.9189453125}, {"start": 882.72, "end": 882.88, "word": " ال", "probability": 0.73388671875}, {"start": 882.88, "end": 883.14, "word": " Series", "probability": 0.802734375}, {"start": 883.14, "end": 883.86, "word": " Convert", "probability": 0.296875}, {"start": 883.86, "end": 884.68, "word": " Series", "probability": 0.258544921875}, {"start": 884.68, "end": 886.36, "word": " Convert", "probability": 0.95361328125}, {"start": 886.36, "end": 886.78, "word": " لأن", "probability": 0.51373291015625}, {"start": 886.78, "end": 887.24, "word": " ناقص", "probability": 0.9471435546875}, {"start": 887.24, "end": 887.5, "word": " 8", "probability": 0.892578125}, {"start": 887.5, "end": 887.64, "word": " ال", "probability": 0.287353515625}, {"start": 887.64, "end": 888.02, "word": " Summation", "probability": 0.7170003255208334}, {"start": 888.02, "end": 888.34, "word": " ناقص", "probability": 0.9796142578125}, {"start": 888.34, "end": 888.64, "word": " 8", "probability": 0.9814453125}, {"start": 888.64, "end": 888.88, "word": " على", "probability": 0.892578125}, {"start": 888.88, "end": 889.14, "word": " N", "probability": 0.982421875}, {"start": 889.14, "end": 889.48, "word": " نخلع", "probability": 0.760955810546875}, {"start": 889.48, "end": 889.8, "word": " ناقص", "probability": 0.8902587890625}, {"start": 889.8, "end": 890.08, "word": " 8", "probability": 0.98681640625}, {"start": 890.08, "end": 890.42, "word": " برا", "probability": 0.755859375}, {"start": 890.42, "end": 890.72, "word": " بظل", "probability": 0.56640625}, {"start": 890.72, "end": 890.82, "word": " ال", "probability": 0.453857421875}, {"start": 890.82, "end": 891.2, "word": " Summation", "probability": 0.7965494791666666}, {"start": 891.2, "end": 891.48, "word": " 1", "probability": 0.96484375}, {"start": 891.48, "end": 891.82, "word": " على", "probability": 0.892578125}, {"start": 891.82, "end": 892.14, "word": " N", "probability": 0.98876953125}, {"start": 892.14, "end": 892.58, "word": " طبعا", "probability": 0.9371337890625}, {"start": 892.58, "end": 892.82, "word": " هذه", "probability": 0.78662109375}, {"start": 892.82, "end": 893.54, "word": " Harmonic", "probability": 0.907958984375}, {"start": 893.54, "end": 893.88, "word": " Series", "probability": 0.9541015625}, {"start": 893.88, "end": 894.26, "word": " يكفي", "probability": 0.9324544270833334}, {"start": 894.26, "end": 894.46, "word": " أن", "probability": 0.468017578125}, {"start": 894.46, "end": 894.72, "word": " أقول", "probability": 0.811767578125}, {"start": 894.72, "end": 895.58, "word": " Harmonic", "probability": 0.9765625}, {"start": 895.58, "end": 895.9, "word": " Series", "probability": 0.9580078125}, {"start": 895.9, "end": 896.94, "word": " Diverses", "probability": 0.7176106770833334}], "temperature": 1.0}, {"id": 38, "seek": 90818, "start": 898.14, "end": 908.18, "text": "على طول مباشرة بيبقى هذه ال P Series مباشرة على طول بنقولها بالكلام ناخد تمام مثلا نشتغل فيهم على شروط ال Integra Test", "tokens": [3615, 23942, 23032, 12610, 3714, 3555, 33599, 25720, 4724, 1829, 3555, 4587, 7578, 29538, 2423, 430, 13934, 3714, 3555, 33599, 25720, 15844, 23032, 12610, 44945, 39648, 11296, 20666, 28820, 10943, 8717, 47283, 3215, 46811, 10943, 50113, 15040, 8717, 8592, 2655, 17082, 1211, 8978, 16095, 15844, 13412, 32887, 9566, 2423, 5681, 1146, 424, 9279], "avg_logprob": -0.3451967559478901, "compression_ratio": 1.3900709219858156, "no_speech_prob": 0.0, "words": [{"start": 898.14, "end": 898.64, "word": "على", "probability": 0.470703125}, {"start": 898.64, "end": 898.82, "word": " طول", "probability": 0.9736328125}, {"start": 898.82, "end": 899.3, "word": " مباشرة", "probability": 0.8753662109375}, {"start": 899.3, "end": 899.52, "word": " بيبقى", "probability": 0.72646484375}, {"start": 899.52, "end": 899.74, "word": " هذه", "probability": 0.364501953125}, {"start": 899.74, "end": 899.86, "word": " ال", "probability": 0.7666015625}, {"start": 899.86, "end": 900.02, "word": " P", "probability": 0.376953125}, {"start": 900.02, "end": 900.82, "word": " Series", "probability": 0.5966796875}, {"start": 900.82, "end": 901.44, "word": " مباشرة", "probability": 0.9613037109375}, {"start": 901.44, "end": 901.58, "word": " على", "probability": 0.59228515625}, {"start": 901.58, "end": 901.76, "word": " طول", "probability": 0.993896484375}, {"start": 901.76, "end": 902.14, "word": " بنقولها", "probability": 0.7766927083333334}, {"start": 902.14, "end": 902.62, "word": " بالكلام", "probability": 0.681640625}, {"start": 902.62, "end": 903.62, "word": " ناخد", "probability": 0.7477213541666666}, {"start": 903.62, "end": 903.88, "word": " تمام", "probability": 0.67626953125}, {"start": 903.88, "end": 904.4, "word": " مثلا", "probability": 0.7060546875}, {"start": 904.4, "end": 906.04, "word": " نشتغل", "probability": 0.9490234375}, {"start": 906.04, "end": 906.4, "word": " فيهم", "probability": 0.897705078125}, {"start": 906.4, "end": 906.86, "word": " على", "probability": 0.93603515625}, {"start": 906.86, "end": 907.24, "word": " شروط", "probability": 0.9680989583333334}, {"start": 907.24, "end": 907.36, "word": " ال", "probability": 0.8935546875}, {"start": 907.36, "end": 907.84, "word": " Integra", "probability": 0.5662434895833334}, {"start": 907.84, "end": 908.18, "word": " Test", "probability": 0.443603515625}], "temperature": 1.0}, {"id": 39, "seek": 94199, "start": 914.41, "end": 941.99, "text": "الفنشن تبعتي هي six تربية لو حولناها ل .. طبعا ال six تربية نعرف الكاملة هي تكامل التانش وبالتالي التكامل تبعها سهل فبنطبق التلات شروط f of n تساوي six تربية و n أكبر أو سوى واحد لأن نطبق الشروط لأي n أكبر أو سوى واحد ال f of n طبعا موجبة هي six تربية وبالتالي موجبة ال f of n continuous ال six طبعا continuous for all n", "tokens": [6027, 5172, 1863, 8592, 1863, 6055, 3555, 3615, 31371, 39896, 2309, 6055, 2288, 21292, 3660, 45164, 11331, 12610, 8315, 11296, 5296, 4386, 23032, 3555, 3615, 995, 2423, 2309, 6055, 2288, 21292, 3660, 8717, 3615, 28480, 33251, 10943, 37977, 39896, 6055, 4117, 10943, 1211, 16712, 7649, 8592, 46599, 6027, 2655, 6027, 1829, 16712, 4117, 10943, 1211, 6055, 3555, 3615, 11296, 8608, 3224, 1211, 6156, 3555, 1863, 9566, 3555, 4587, 16712, 1211, 9307, 13412, 32887, 9566, 283, 295, 297, 6055, 3794, 995, 45865, 2309, 6055, 2288, 21292, 3660, 4032, 297, 5551, 4117, 26890, 34051, 8608, 2407, 7578, 36764, 24401, 5296, 33456, 8717, 9566, 3555, 4587, 25124, 32887, 9566, 5296, 10721, 1829, 297, 5551, 4117, 26890, 34051, 8608, 2407, 7578, 36764, 24401, 2423, 283, 295, 297, 23032, 3555, 3615, 995, 3714, 29245, 49401, 39896, 2309, 6055, 2288, 21292, 3660, 46599, 6027, 2655, 6027, 1829, 3714, 29245, 49401, 2423, 283, 295, 297, 10957, 2423, 2309, 23032, 3555, 3615, 995, 10957, 337, 439, 297], "avg_logprob": -0.2669921971857548, "compression_ratio": 2.1596638655462184, "no_speech_prob": 2.1755695343017578e-05, "words": [{"start": 914.4100000000001, "end": 915.09, "word": "الفنشن", "probability": 0.3263427734375}, {"start": 915.09, "end": 915.41, "word": " تبعتي", "probability": 0.666259765625}, {"start": 915.41, "end": 915.77, "word": " هي", "probability": 0.55078125}, {"start": 915.77, "end": 916.13, "word": " six", "probability": 0.2154541015625}, {"start": 916.13, "end": 916.81, "word": " تربية", "probability": 0.62322998046875}, {"start": 916.81, "end": 917.69, "word": " لو", "probability": 0.31591796875}, {"start": 917.69, "end": 918.31, "word": " حولناها", "probability": 0.857666015625}, {"start": 918.31, "end": 918.53, "word": " ل", "probability": 0.8486328125}, {"start": 918.53, "end": 918.61, "word": " ..", "probability": 0.095947265625}, {"start": 918.61, "end": 918.89, "word": " طبعا", "probability": 0.81011962890625}, {"start": 918.89, "end": 918.97, "word": " ال", "probability": 0.375732421875}, {"start": 918.97, "end": 919.09, "word": " six", "probability": 0.5009765625}, {"start": 919.09, "end": 919.67, "word": " تربية", "probability": 0.8890380859375}, {"start": 919.67, "end": 920.27, "word": " نعرف", "probability": 0.7759602864583334}, {"start": 920.27, "end": 920.67, "word": " الكاملة", "probability": 0.771240234375}, {"start": 920.67, "end": 920.83, "word": " هي", "probability": 0.83544921875}, {"start": 920.83, "end": 921.39, "word": " تكامل", "probability": 0.914306640625}, {"start": 921.39, "end": 923.39, "word": " التانش", "probability": 0.6161295572916666}, {"start": 923.39, "end": 924.21, "word": " وبالتالي", "probability": 0.88193359375}, {"start": 924.21, "end": 924.69, "word": " التكامل", "probability": 0.9566650390625}, {"start": 924.69, "end": 925.07, "word": " تبعها", "probability": 0.83465576171875}, {"start": 925.07, "end": 925.73, "word": " سهل", "probability": 0.98291015625}, {"start": 925.73, "end": 926.93, "word": " فبنطبق", "probability": 0.9520670572916666}, {"start": 926.93, "end": 927.29, "word": " التلات", "probability": 0.7179361979166666}, {"start": 927.29, "end": 927.63, "word": " شروط", "probability": 0.9402669270833334}, {"start": 927.63, "end": 927.83, "word": " f", "probability": 0.29296875}, {"start": 927.83, "end": 927.99, "word": " of", "probability": 0.75146484375}, {"start": 927.99, "end": 928.11, "word": " n", "probability": 0.91259765625}, {"start": 928.11, "end": 928.43, "word": " تساوي", "probability": 0.78704833984375}, {"start": 928.43, "end": 928.69, "word": " six", "probability": 0.7275390625}, {"start": 928.69, "end": 929.21, "word": " تربية", "probability": 0.83612060546875}, {"start": 929.21, "end": 929.37, "word": " و", "probability": 0.8115234375}, {"start": 929.37, "end": 929.49, "word": " n", "probability": 0.46728515625}, {"start": 929.49, "end": 929.77, "word": " أكبر", "probability": 0.93359375}, {"start": 929.77, "end": 929.93, "word": " أو", "probability": 0.71484375}, {"start": 929.93, "end": 930.23, "word": " سوى", "probability": 0.5909830729166666}, {"start": 930.23, "end": 930.77, "word": " واحد", "probability": 0.89599609375}, {"start": 930.77, "end": 931.13, "word": " لأن", "probability": 0.37847900390625}, {"start": 931.13, "end": 931.49, "word": " نطبق", "probability": 0.942626953125}, {"start": 931.49, "end": 932.11, "word": " الشروط", "probability": 0.9757486979166666}, {"start": 932.11, "end": 932.67, "word": " لأي", "probability": 0.900390625}, {"start": 932.67, "end": 932.91, "word": " n", "probability": 0.85888671875}, {"start": 932.91, "end": 933.27, "word": " أكبر", "probability": 0.9679361979166666}, {"start": 933.27, "end": 933.45, "word": " أو", "probability": 0.89599609375}, {"start": 933.45, "end": 933.69, "word": " سوى", "probability": 0.916015625}, {"start": 933.69, "end": 934.01, "word": " واحد", "probability": 0.988037109375}, {"start": 934.01, "end": 934.53, "word": " ال", "probability": 0.86279296875}, {"start": 934.53, "end": 934.67, "word": " f", "probability": 0.53466796875}, {"start": 934.67, "end": 934.85, "word": " of", "probability": 0.951171875}, {"start": 934.85, "end": 934.97, "word": " n", "probability": 0.98974609375}, {"start": 934.97, "end": 935.29, "word": " طبعا", "probability": 0.919189453125}, {"start": 935.29, "end": 935.69, "word": " موجبة", "probability": 0.98291015625}, {"start": 935.69, "end": 935.87, "word": " هي", "probability": 0.7900390625}, {"start": 935.87, "end": 936.09, "word": " six", "probability": 0.92529296875}, {"start": 936.09, "end": 936.45, "word": " تربية", "probability": 0.9444580078125}, {"start": 936.45, "end": 936.81, "word": " وبالتالي", "probability": 0.890869140625}, {"start": 936.81, "end": 937.27, "word": " موجبة", "probability": 0.9816080729166666}, {"start": 937.27, "end": 938.33, "word": " ال", "probability": 0.9453125}, {"start": 938.33, "end": 938.51, "word": " f", "probability": 0.88671875}, {"start": 938.51, "end": 938.69, "word": " of", "probability": 0.96875}, {"start": 938.69, "end": 938.83, "word": " n", "probability": 0.990234375}, {"start": 938.83, "end": 939.47, "word": " continuous", "probability": 0.90771484375}, {"start": 939.47, "end": 939.69, "word": " ال", "probability": 0.916015625}, {"start": 939.69, "end": 939.89, "word": " six", "probability": 0.7509765625}, {"start": 939.89, "end": 940.23, "word": " طبعا", "probability": 0.974853515625}, {"start": 940.23, "end": 940.87, "word": " continuous", "probability": 0.9541015625}, {"start": 940.87, "end": 941.51, "word": " for", "probability": 0.9052734375}, {"start": 941.51, "end": 941.75, "word": " all", "probability": 0.95556640625}, {"start": 941.75, "end": 941.99, "word": " n", "probability": 0.90576171875}], "temperature": 1.0}, {"id": 40, "seek": 96637, "start": 942.35, "end": 966.37, "text": "نجيب F' F' تساوي اللي هي اتنين سكش تربيع اتنين سكش في قطعة دول السكش اللي هي ناقص سكش في تانش فبصير ناقص اتنين سكش تربيع التانش الان سكش تربيع والتانش للتانش طبعا في N أكبر من السفر دائما موجبة وهذا سكش تربيع دائما موجبة بتظل إيش هذا دائما سالب يبقى سالب for all N أكبر أو يساوي الواحد رايح الواحد هنا في واحد", "tokens": [1863, 7435, 1829, 3555, 479, 6, 479, 6, 6055, 3794, 995, 45865, 13672, 1829, 39896, 1975, 2655, 1863, 9957, 8608, 4117, 8592, 6055, 2288, 21292, 3615, 1975, 2655, 1863, 9957, 8608, 4117, 8592, 8978, 12174, 9566, 27884, 11778, 12610, 21136, 4117, 8592, 13672, 1829, 39896, 8717, 995, 4587, 9381, 8608, 4117, 8592, 8978, 6055, 7649, 8592, 6156, 3555, 9381, 13546, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 8608, 4117, 8592, 6055, 2288, 21292, 3615, 16712, 7649, 8592, 2423, 7649, 8608, 4117, 8592, 6055, 2288, 21292, 3615, 16070, 2655, 7649, 8592, 24976, 2655, 7649, 8592, 23032, 3555, 3615, 995, 8978, 426, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 11778, 16373, 15042, 3714, 29245, 49401, 37037, 15730, 8608, 4117, 8592, 6055, 2288, 21292, 3615, 11778, 16373, 15042, 3714, 29245, 49401, 39894, 19913, 1211, 11933, 1829, 8592, 23758, 11778, 16373, 15042, 8608, 6027, 3555, 7251, 3555, 4587, 7578, 8608, 6027, 3555, 337, 439, 426, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 2423, 14407, 24401, 12602, 47302, 5016, 2423, 14407, 24401, 34105, 8978, 36764, 24401], "avg_logprob": -0.22898706870860067, "compression_ratio": 2.3405172413793105, "no_speech_prob": 0.0, "words": [{"start": 942.35, "end": 942.97, "word": "نجيب", "probability": 0.71026611328125}, {"start": 942.97, "end": 943.11, "word": " F'", "probability": 0.397705078125}, {"start": 943.51, "end": 943.71, "word": " F'", "probability": 0.2408447265625}, {"start": 943.95, "end": 944.41, "word": " تساوي", "probability": 0.7178802490234375}, {"start": 944.41, "end": 944.65, "word": " اللي", "probability": 0.435333251953125}, {"start": 944.65, "end": 944.79, "word": " هي", "probability": 0.87939453125}, {"start": 944.79, "end": 945.25, "word": " اتنين", "probability": 0.7720947265625}, {"start": 945.25, "end": 945.59, "word": " سكش", "probability": 0.8727213541666666}, {"start": 945.59, "end": 946.31, "word": " تربيع", "probability": 0.8360595703125}, {"start": 946.31, "end": 946.91, "word": " اتنين", "probability": 0.899658203125}, {"start": 946.91, "end": 947.33, "word": " سكش", "probability": 0.9913736979166666}, {"start": 947.33, "end": 947.45, "word": " في", "probability": 0.50927734375}, {"start": 947.45, "end": 947.71, "word": " قطعة", "probability": 0.671875}, {"start": 947.71, "end": 947.85, "word": " دول", "probability": 0.756591796875}, {"start": 947.85, "end": 948.17, "word": " السكش", "probability": 0.9637044270833334}, {"start": 948.17, "end": 948.25, "word": " اللي", "probability": 0.654541015625}, {"start": 948.25, "end": 948.33, "word": " هي", "probability": 0.53564453125}, {"start": 948.33, "end": 948.67, "word": " ناقص", "probability": 0.8944091796875}, {"start": 948.67, "end": 948.87, "word": " سكش", "probability": 0.9300130208333334}, {"start": 948.87, "end": 949.01, "word": " في", "probability": 0.73388671875}, {"start": 949.01, "end": 949.33, "word": " تانش", "probability": 0.8557942708333334}, {"start": 949.33, "end": 949.99, "word": " فبصير", "probability": 0.698486328125}, {"start": 949.99, "end": 950.35, "word": " ناقص", "probability": 0.9918212890625}, {"start": 950.35, "end": 950.63, "word": " اتنين", "probability": 0.9639892578125}, {"start": 950.63, "end": 950.93, "word": " سكش", "probability": 0.9933268229166666}, {"start": 950.93, "end": 951.27, "word": " تربيع", "probability": 0.8316650390625}, {"start": 951.27, "end": 951.69, "word": " التانش", "probability": 0.8199055989583334}, {"start": 951.69, "end": 952.29, "word": " الان", "probability": 0.658203125}, {"start": 952.29, "end": 952.53, "word": " سكش", "probability": 0.8802083333333334}, {"start": 952.53, "end": 952.89, "word": " تربيع", "probability": 0.9608154296875}, {"start": 952.89, "end": 953.35, "word": " والتانش", "probability": 0.85052490234375}, {"start": 953.35, "end": 955.15, "word": " للتانش", "probability": 0.68548583984375}, {"start": 955.15, "end": 955.51, "word": " طبعا", "probability": 0.97021484375}, {"start": 955.51, "end": 956.13, "word": " في", "probability": 0.445556640625}, {"start": 956.13, "end": 956.71, "word": " N", "probability": 0.4990234375}, {"start": 956.71, "end": 957.07, "word": " أكبر", "probability": 0.9156901041666666}, {"start": 957.07, "end": 957.23, "word": " من", "probability": 0.9921875}, {"start": 957.23, "end": 957.55, "word": " السفر", "probability": 0.72802734375}, {"start": 957.55, "end": 957.91, "word": " دائما", "probability": 0.9029947916666666}, {"start": 957.91, "end": 958.31, "word": " موجبة", "probability": 0.93603515625}, {"start": 958.31, "end": 958.57, "word": " وهذا", "probability": 0.584716796875}, {"start": 958.57, "end": 958.79, "word": " سكش", "probability": 0.90966796875}, {"start": 958.79, "end": 959.05, "word": " تربيع", "probability": 0.9202880859375}, {"start": 959.05, "end": 959.41, "word": " دائما", "probability": 0.9558919270833334}, {"start": 959.41, "end": 959.77, "word": " موجبة", "probability": 0.9820963541666666}, {"start": 959.77, "end": 960.09, "word": " بتظل", "probability": 0.5127360026041666}, {"start": 960.09, "end": 960.33, "word": " إيش", "probability": 0.6220703125}, {"start": 960.33, "end": 960.55, "word": " هذا", "probability": 0.484130859375}, {"start": 960.55, "end": 961.03, "word": " دائما", "probability": 0.9493815104166666}, {"start": 961.03, "end": 961.79, "word": " سالب", "probability": 0.84521484375}, {"start": 961.79, "end": 962.15, "word": " يبقى", "probability": 0.965576171875}, {"start": 962.15, "end": 962.45, "word": " سالب", "probability": 0.92822265625}, {"start": 962.45, "end": 962.67, "word": " for", "probability": 0.85888671875}, {"start": 962.67, "end": 962.85, "word": " all", "probability": 0.93505859375}, {"start": 962.85, "end": 963.01, "word": " N", "probability": 0.76708984375}, {"start": 963.01, "end": 963.37, "word": " أكبر", "probability": 0.9641927083333334}, {"start": 963.37, "end": 963.53, "word": " أو", "probability": 0.90625}, {"start": 963.53, "end": 964.05, "word": " يساوي", "probability": 0.9227294921875}, {"start": 964.05, "end": 964.99, "word": " الواحد", "probability": 0.9749348958333334}, {"start": 964.99, "end": 965.33, "word": " رايح", "probability": 0.8878580729166666}, {"start": 965.33, "end": 965.69, "word": " الواحد", "probability": 0.8681640625}, {"start": 965.69, "end": 965.89, "word": " هنا", "probability": 0.97314453125}, {"start": 965.89, "end": 966.01, "word": " في", "probability": 0.97021484375}, {"start": 966.01, "end": 966.37, "word": " واحد", "probability": 0.9619140625}], "temperature": 1.0}, {"id": 41, "seek": 99490, "start": 967.72, "end": 994.9, "text": "يبقى الشروط متطابقة من 1 إلى ما لنهاية وبالتالي نجيب التكامل ل 6 تربيع نضع بدلها x dx وفدود التكامل من 1 إلى ما لنهاية نحولها بالأول ل limit نضع بدلها بي بي تقولها ما لنهاية ل 6 تربيع x dx التكامل لل 6 تربيع تانش من 1 إلى بي نعود في فدود التكامل تانش بي ناقص تانش الواحد", "tokens": [1829, 3555, 4587, 7578, 25124, 32887, 9566, 44650, 9566, 16758, 28671, 9154, 502, 30731, 19446, 5296, 1863, 11296, 10632, 46599, 6027, 2655, 6027, 1829, 8717, 7435, 1829, 3555, 16712, 4117, 10943, 1211, 5296, 1386, 6055, 2288, 21292, 3615, 8717, 11242, 3615, 47525, 1211, 11296, 2031, 30017, 4032, 5172, 3215, 23328, 16712, 4117, 10943, 1211, 9154, 502, 30731, 19446, 5296, 1863, 11296, 10632, 8717, 5016, 12610, 11296, 20666, 10721, 12610, 5296, 4948, 8717, 11242, 3615, 47525, 1211, 11296, 4724, 1829, 4724, 1829, 6055, 39648, 11296, 19446, 5296, 1863, 11296, 10632, 5296, 1386, 6055, 2288, 21292, 3615, 2031, 30017, 16712, 4117, 10943, 1211, 24976, 1386, 6055, 2288, 21292, 3615, 6055, 7649, 8592, 9154, 502, 30731, 4724, 1829, 8717, 3615, 23328, 8978, 6156, 3215, 23328, 16712, 4117, 10943, 1211, 6055, 7649, 8592, 4724, 1829, 8717, 995, 4587, 9381, 6055, 7649, 8592, 2423, 14407, 24401], "avg_logprob": -0.28477113473583276, "compression_ratio": 2.2794117647058822, "no_speech_prob": 2.7418136596679688e-06, "words": [{"start": 967.72, "end": 968.4, "word": "يبقى", "probability": 0.82940673828125}, {"start": 968.4, "end": 968.74, "word": " الشروط", "probability": 0.53369140625}, {"start": 968.74, "end": 969.6, "word": " متطابقة", "probability": 0.7611083984375}, {"start": 969.6, "end": 969.74, "word": " من", "probability": 0.65478515625}, {"start": 969.74, "end": 969.98, "word": " 1", "probability": 0.7333984375}, {"start": 969.98, "end": 970.3, "word": " إلى", "probability": 0.8544921875}, {"start": 970.3, "end": 970.6, "word": " ما", "probability": 0.218994140625}, {"start": 970.6, "end": 971.06, "word": " لنهاية", "probability": 0.84130859375}, {"start": 971.06, "end": 971.54, "word": " وبالتالي", "probability": 0.90126953125}, {"start": 971.54, "end": 972.52, "word": " نجيب", "probability": 0.481231689453125}, {"start": 972.52, "end": 973.2, "word": " التكامل", "probability": 0.9251708984375}, {"start": 973.2, "end": 973.4, "word": " ل", "probability": 0.7568359375}, {"start": 973.4, "end": 973.62, "word": " 6", "probability": 0.08087158203125}, {"start": 973.62, "end": 974.06, "word": " تربيع", "probability": 0.782470703125}, {"start": 974.06, "end": 974.4, "word": " نضع", "probability": 0.5171712239583334}, {"start": 974.4, "end": 975.28, "word": " بدلها", "probability": 0.7576497395833334}, {"start": 975.28, "end": 975.5, "word": " x", "probability": 0.48046875}, {"start": 975.5, "end": 975.96, "word": " dx", "probability": 0.4130859375}, {"start": 975.96, "end": 976.92, "word": " وفدود", "probability": 0.73101806640625}, {"start": 976.92, "end": 977.4, "word": " التكامل", "probability": 0.97998046875}, {"start": 977.4, "end": 977.56, "word": " من", "probability": 0.89697265625}, {"start": 977.56, "end": 977.82, "word": " 1", "probability": 0.9697265625}, {"start": 977.82, "end": 978.16, "word": " إلى", "probability": 0.953125}, {"start": 978.16, "end": 978.7, "word": " ما", "probability": 0.91015625}, {"start": 978.7, "end": 979.26, "word": " لنهاية", "probability": 0.93896484375}, {"start": 979.26, "end": 980.12, "word": " نحولها", "probability": 0.715087890625}, {"start": 980.12, "end": 980.52, "word": " بالأول", "probability": 0.8894856770833334}, {"start": 980.52, "end": 980.62, "word": " ل", "probability": 0.80322265625}, {"start": 980.62, "end": 980.92, "word": " limit", "probability": 0.89697265625}, {"start": 980.92, "end": 981.26, "word": " نضع", "probability": 0.8113606770833334}, {"start": 981.26, "end": 982.08, "word": " بدلها", "probability": 0.9562174479166666}, {"start": 982.08, "end": 982.24, "word": " بي", "probability": 0.6048583984375}, {"start": 982.24, "end": 982.42, "word": " بي", "probability": 0.86083984375}, {"start": 982.42, "end": 982.76, "word": " تقولها", "probability": 0.4783528645833333}, {"start": 982.76, "end": 982.9, "word": " ما", "probability": 0.8564453125}, {"start": 982.9, "end": 983.42, "word": " لنهاية", "probability": 0.945068359375}, {"start": 983.42, "end": 983.84, "word": " ل", "probability": 0.90576171875}, {"start": 983.84, "end": 984.06, "word": " 6", "probability": 0.74169921875}, {"start": 984.06, "end": 984.46, "word": " تربيع", "probability": 0.9083251953125}, {"start": 984.46, "end": 984.66, "word": " x", "probability": 0.9501953125}, {"start": 984.66, "end": 985.12, "word": " dx", "probability": 0.8193359375}, {"start": 985.12, "end": 986.18, "word": " التكامل", "probability": 0.9150390625}, {"start": 986.18, "end": 986.3, "word": " لل", "probability": 0.5107421875}, {"start": 986.3, "end": 986.44, "word": " 6", "probability": 0.740234375}, {"start": 986.44, "end": 986.8, "word": " تربيع", "probability": 0.962158203125}, {"start": 986.8, "end": 987.58, "word": " تانش", "probability": 0.6748453776041666}, {"start": 987.58, "end": 987.8, "word": " من", "probability": 0.85888671875}, {"start": 987.8, "end": 988.06, "word": " 1", "probability": 0.9658203125}, {"start": 988.06, "end": 988.36, "word": " إلى", "probability": 0.93359375}, {"start": 988.36, "end": 988.74, "word": " بي", "probability": 0.933349609375}, {"start": 988.74, "end": 989.54, "word": " نعود", "probability": 0.5736490885416666}, {"start": 989.54, "end": 989.68, "word": " في", "probability": 0.5205078125}, {"start": 989.68, "end": 989.88, "word": " فدود", "probability": 0.8992513020833334}, {"start": 989.88, "end": 991.26, "word": " التكامل", "probability": 0.984130859375}, {"start": 991.26, "end": 993.38, "word": " تانش", "probability": 0.7278645833333334}, {"start": 993.38, "end": 993.6, "word": " بي", "probability": 0.8916015625}, {"start": 993.6, "end": 993.94, "word": " ناقص", "probability": 0.843017578125}, {"start": 993.94, "end": 994.34, "word": " تانش", "probability": 0.9609375}, {"start": 994.34, "end": 994.9, "word": " الواحد", "probability": 0.9407552083333334}], "temperature": 1.0}, {"id": 42, "seek": 101815, "start": 995.39, "end": 1018.15, "text": "الان تانش بي لما بي تقول لما لنهاية اللي هي واحد تانش لما لنهاية واحد لما لنهاية تانش تقترب من الواحد نقص تانش الواحد وبالتالي بيطلع عدد حقيقي convert يبقى نقول by the integral test ال series تبعتنا convert السؤال الأخير ال summation من N تسوا واحد لما لنهاية A أس N على واحد زائد اثنين أس N", "tokens": [6027, 7649, 6055, 7649, 8592, 4724, 1829, 5296, 15042, 4724, 1829, 6055, 39648, 5296, 15042, 5296, 1863, 3224, 995, 10632, 13672, 1829, 39896, 36764, 24401, 6055, 7649, 8592, 5296, 15042, 5296, 1863, 3224, 995, 10632, 36764, 24401, 5296, 15042, 5296, 1863, 3224, 995, 10632, 6055, 7649, 8592, 6055, 38149, 25513, 9154, 2423, 14407, 24401, 8717, 4587, 9381, 6055, 7649, 8592, 2423, 14407, 24401, 46599, 6027, 2655, 6027, 1829, 4724, 1829, 9566, 1211, 3615, 6225, 3215, 3215, 11331, 38436, 38436, 7620, 7251, 3555, 4587, 7578, 8717, 39648, 538, 264, 11573, 1500, 2423, 2638, 6055, 3555, 34268, 8315, 7620, 21136, 33604, 6027, 16247, 9778, 13546, 2423, 28811, 9154, 426, 6055, 3794, 14407, 36764, 24401, 5296, 15042, 5296, 1863, 3224, 995, 10632, 316, 5551, 3794, 426, 15844, 36764, 24401, 30767, 16373, 3215, 1975, 12984, 1863, 9957, 5551, 3794, 426], "avg_logprob": -0.27121350713019826, "compression_ratio": 1.9467213114754098, "no_speech_prob": 0.0, "words": [{"start": 995.39, "end": 995.81, "word": "الان", "probability": 0.5294189453125}, {"start": 995.81, "end": 996.35, "word": " تانش", "probability": 0.6534220377604166}, {"start": 996.35, "end": 996.65, "word": " بي", "probability": 0.41455078125}, {"start": 996.65, "end": 996.81, "word": " لما", "probability": 0.77490234375}, {"start": 996.81, "end": 996.99, "word": " بي", "probability": 0.848388671875}, {"start": 996.99, "end": 997.25, "word": " تقول", "probability": 0.943115234375}, {"start": 997.25, "end": 997.47, "word": " لما", "probability": 0.4866943359375}, {"start": 997.47, "end": 997.93, "word": " لنهاية", "probability": 0.692138671875}, {"start": 997.93, "end": 998.07, "word": " اللي", "probability": 0.45086669921875}, {"start": 998.07, "end": 998.23, "word": " هي", "probability": 0.88623046875}, {"start": 998.23, "end": 998.51, "word": " واحد", "probability": 0.87109375}, {"start": 998.51, "end": 999.03, "word": " تانش", "probability": 0.9161783854166666}, {"start": 999.03, "end": 999.27, "word": " لما", "probability": 0.886962890625}, {"start": 999.27, "end": 999.67, "word": " لنهاية", "probability": 0.90146484375}, {"start": 999.67, "end": 1000.11, "word": " واحد", "probability": 0.982421875}, {"start": 1000.11, "end": 1000.47, "word": " لما", "probability": 0.5787353515625}, {"start": 1000.47, "end": 1000.79, "word": " لنهاية", "probability": 0.875}, {"start": 1000.79, "end": 1001.11, "word": " تانش", "probability": 0.88232421875}, {"start": 1001.11, "end": 1001.49, "word": " تقترب", "probability": 0.9689127604166666}, {"start": 1001.49, "end": 1001.67, "word": " من", "probability": 0.9921875}, {"start": 1001.67, "end": 1002.13, "word": " الواحد", "probability": 0.8328450520833334}, {"start": 1002.13, "end": 1002.83, "word": " نقص", "probability": 0.6686197916666666}, {"start": 1002.83, "end": 1003.61, "word": " تانش", "probability": 0.9099934895833334}, {"start": 1003.61, "end": 1004.11, "word": " الواحد", "probability": 0.9588216145833334}, {"start": 1004.11, "end": 1004.99, "word": " وبالتالي", "probability": 0.89248046875}, {"start": 1004.99, "end": 1005.85, "word": " بيطلع", "probability": 0.847509765625}, {"start": 1005.85, "end": 1006.15, "word": " عدد", "probability": 0.9855143229166666}, {"start": 1006.15, "end": 1006.67, "word": " حقيقي", "probability": 0.9894205729166666}, {"start": 1006.67, "end": 1007.41, "word": " convert", "probability": 0.170166015625}, {"start": 1007.41, "end": 1007.99, "word": " يبقى", "probability": 0.884765625}, {"start": 1007.99, "end": 1008.13, "word": " نقول", "probability": 0.6544189453125}, {"start": 1008.13, "end": 1008.39, "word": " by", "probability": 0.53125}, {"start": 1008.39, "end": 1008.51, "word": " the", "probability": 0.8837890625}, {"start": 1008.51, "end": 1008.85, "word": " integral", "probability": 0.72119140625}, {"start": 1008.85, "end": 1009.19, "word": " test", "probability": 0.91259765625}, {"start": 1009.19, "end": 1009.39, "word": " ال", "probability": 0.7216796875}, {"start": 1009.39, "end": 1009.63, "word": " series", "probability": 0.74267578125}, {"start": 1009.63, "end": 1010.13, "word": " تبعتنا", "probability": 0.8074951171875}, {"start": 1010.13, "end": 1010.91, "word": " convert", "probability": 0.4384765625}, {"start": 1010.91, "end": 1013.43, "word": " السؤال", "probability": 0.9671223958333334}, {"start": 1013.43, "end": 1014.17, "word": " الأخير", "probability": 0.8577473958333334}, {"start": 1014.17, "end": 1014.43, "word": " ال", "probability": 0.308837890625}, {"start": 1014.43, "end": 1014.75, "word": " summation", "probability": 0.779296875}, {"start": 1014.75, "end": 1014.99, "word": " من", "probability": 0.94140625}, {"start": 1014.99, "end": 1015.15, "word": " N", "probability": 0.35595703125}, {"start": 1015.15, "end": 1015.39, "word": " تسوا", "probability": 0.4928385416666667}, {"start": 1015.39, "end": 1015.65, "word": " واحد", "probability": 0.808837890625}, {"start": 1015.65, "end": 1015.91, "word": " لما", "probability": 0.888427734375}, {"start": 1015.91, "end": 1016.21, "word": " لنهاية", "probability": 0.96396484375}, {"start": 1016.21, "end": 1016.39, "word": " A", "probability": 0.70166015625}, {"start": 1016.39, "end": 1016.61, "word": " أس", "probability": 0.5400390625}, {"start": 1016.61, "end": 1016.75, "word": " N", "probability": 0.951171875}, {"start": 1016.75, "end": 1016.93, "word": " على", "probability": 0.7294921875}, {"start": 1016.93, "end": 1017.19, "word": " واحد", "probability": 0.89599609375}, {"start": 1017.19, "end": 1017.47, "word": " زائد", "probability": 0.8365885416666666}, {"start": 1017.47, "end": 1017.75, "word": " اثنين", "probability": 0.8443603515625}, {"start": 1017.75, "end": 1017.99, "word": " أس", "probability": 0.922607421875}, {"start": 1017.99, "end": 1018.15, "word": " N", "probability": 0.95751953125}], "temperature": 1.0}, {"id": 43, "seek": 104649, "start": 1018.79, "end": 1046.49, "text": "طبعا هذه لو أخدنا E أُس N عامل A E أُس N تساوي U تكون البسط هو DU يعني زي DU على 1 زائد U تربيع فتكاملها سهل بتكامل بسهولة البسط فاضل المقام ال F of N حوّلنا نحوّل على F of N E أس N على 1 زائد E أس 2N و N أكبر أو سوى 1 ونشوف الشروط وين تنقضت ال F of N موجبة طبعا لأن ال E موجبة و المقام موجب F of N continuous for all N", "tokens": [9566, 3555, 3615, 995, 29538, 45164, 5551, 9778, 3215, 8315, 462, 5551, 10859, 3794, 426, 6225, 10943, 1211, 316, 462, 5551, 10859, 3794, 426, 6055, 3794, 995, 45865, 624, 6055, 30544, 29739, 3794, 9566, 31439, 28423, 37495, 22653, 30767, 1829, 28423, 15844, 502, 30767, 16373, 3215, 624, 6055, 2288, 21292, 3615, 6156, 2655, 4117, 10943, 1211, 11296, 8608, 3224, 1211, 39894, 4117, 10943, 1211, 4724, 3794, 3224, 12610, 3660, 29739, 3794, 9566, 6156, 46958, 1211, 9673, 4587, 10943, 2423, 479, 295, 426, 11331, 2407, 11703, 1211, 8315, 8717, 5016, 2407, 11703, 1211, 15844, 479, 295, 426, 462, 5551, 3794, 426, 15844, 502, 30767, 16373, 3215, 462, 5551, 3794, 568, 45, 4032, 426, 5551, 4117, 26890, 34051, 8608, 2407, 7578, 502, 4032, 1863, 8592, 38688, 25124, 32887, 9566, 4032, 9957, 6055, 1863, 4587, 11242, 2655, 2423, 479, 295, 426, 3714, 29245, 49401, 23032, 3555, 3615, 995, 5296, 33456, 2423, 462, 3714, 29245, 49401, 4032, 9673, 4587, 10943, 3714, 29245, 3555, 479, 295, 426, 10957, 337, 439, 426], "avg_logprob": -0.21126496577691176, "compression_ratio": 1.829090909090909, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1018.79, "end": 1019.19, "word": "طبعا", "probability": 0.80096435546875}, {"start": 1019.19, "end": 1019.41, "word": " هذه", "probability": 0.44970703125}, {"start": 1019.41, "end": 1019.57, "word": " لو", "probability": 0.69091796875}, {"start": 1019.57, "end": 1019.99, "word": " أخدنا", "probability": 0.889404296875}, {"start": 1019.99, "end": 1020.15, "word": " E", "probability": 0.4423828125}, {"start": 1020.15, "end": 1020.45, "word": " أُس", "probability": 0.5244140625}, {"start": 1020.45, "end": 1020.55, "word": " N", "probability": 0.8984375}, {"start": 1020.55, "end": 1020.91, "word": " عامل", "probability": 0.8678385416666666}, {"start": 1020.91, "end": 1021.13, "word": " A", "probability": 0.476318359375}, {"start": 1021.13, "end": 1021.27, "word": " E", "probability": 0.56494140625}, {"start": 1021.27, "end": 1021.43, "word": " أُس", "probability": 0.9005533854166666}, {"start": 1021.43, "end": 1021.61, "word": " N", "probability": 0.9853515625}, {"start": 1021.61, "end": 1022.11, "word": " تساوي", "probability": 0.922119140625}, {"start": 1022.11, "end": 1022.31, "word": " U", "probability": 0.95263671875}, {"start": 1022.31, "end": 1022.87, "word": " تكون", "probability": 0.6898193359375}, {"start": 1022.87, "end": 1023.23, "word": " البسط", "probability": 0.44091796875}, {"start": 1023.23, "end": 1023.39, "word": " هو", "probability": 0.85546875}, {"start": 1023.39, "end": 1023.77, "word": " DU", "probability": 0.7236328125}, {"start": 1023.77, "end": 1024.01, "word": " يعني", "probability": 0.864501953125}, {"start": 1024.01, "end": 1024.27, "word": " زي", "probability": 0.76123046875}, {"start": 1024.27, "end": 1024.57, "word": " DU", "probability": 0.8974609375}, {"start": 1024.57, "end": 1024.79, "word": " على", "probability": 0.72802734375}, {"start": 1024.79, "end": 1025.03, "word": " 1", "probability": 0.623046875}, {"start": 1025.03, "end": 1025.33, "word": " زائد", "probability": 0.7869466145833334}, {"start": 1025.33, "end": 1025.49, "word": " U", "probability": 0.97021484375}, {"start": 1025.49, "end": 1026.63, "word": " تربيع", "probability": 0.8131103515625}, {"start": 1026.63, "end": 1027.85, "word": " فتكاملها", "probability": 0.8662923177083334}, {"start": 1027.85, "end": 1028.21, "word": " سهل", "probability": 0.9972330729166666}, {"start": 1028.21, "end": 1028.83, "word": " بتكامل", "probability": 0.80126953125}, {"start": 1028.83, "end": 1029.81, "word": " بسهولة", "probability": 0.9802734375}, {"start": 1029.81, "end": 1030.45, "word": " البسط", "probability": 0.75634765625}, {"start": 1030.45, "end": 1030.83, "word": " فاضل", "probability": 0.9324544270833334}, {"start": 1030.83, "end": 1031.35, "word": " المقام", "probability": 0.9503580729166666}, {"start": 1031.35, "end": 1032.83, "word": " ال", "probability": 0.81005859375}, {"start": 1032.83, "end": 1033.57, "word": " F", "probability": 0.65966796875}, {"start": 1033.57, "end": 1033.81, "word": " of", "probability": 0.8486328125}, {"start": 1033.81, "end": 1034.11, "word": " N", "probability": 0.97607421875}, {"start": 1034.11, "end": 1034.95, "word": " حوّلنا", "probability": 0.637744140625}, {"start": 1034.95, "end": 1035.21, "word": " نحوّل", "probability": 0.74306640625}, {"start": 1035.21, "end": 1035.31, "word": " على", "probability": 0.66064453125}, {"start": 1035.31, "end": 1035.47, "word": " F", "probability": 0.93603515625}, {"start": 1035.47, "end": 1035.61, "word": " of", "probability": 0.9482421875}, {"start": 1035.61, "end": 1035.73, "word": " N", "probability": 0.9765625}, {"start": 1035.73, "end": 1035.87, "word": " E", "probability": 0.91650390625}, {"start": 1035.87, "end": 1036.05, "word": " أس", "probability": 0.746337890625}, {"start": 1036.05, "end": 1036.17, "word": " N", "probability": 0.97998046875}, {"start": 1036.17, "end": 1036.33, "word": " على", "probability": 0.79443359375}, {"start": 1036.33, "end": 1036.53, "word": " 1", "probability": 0.96728515625}, {"start": 1036.53, "end": 1036.83, "word": " زائد", "probability": 0.9270833333333334}, {"start": 1036.83, "end": 1036.97, "word": " E", "probability": 0.9892578125}, {"start": 1036.97, "end": 1037.15, "word": " أس", "probability": 0.943359375}, {"start": 1037.15, "end": 1037.71, "word": " 2N", "probability": 0.82958984375}, {"start": 1037.71, "end": 1037.95, "word": " و", "probability": 0.9609375}, {"start": 1037.95, "end": 1038.09, "word": " N", "probability": 0.6748046875}, {"start": 1038.09, "end": 1038.37, "word": " أكبر", "probability": 0.9733072916666666}, {"start": 1038.37, "end": 1038.53, "word": " أو", "probability": 0.90234375}, {"start": 1038.53, "end": 1038.73, "word": " سوى", "probability": 0.6709798177083334}, {"start": 1038.73, "end": 1038.93, "word": " 1", "probability": 0.919921875}, {"start": 1038.93, "end": 1039.31, "word": " ونشوف", "probability": 0.8712158203125}, {"start": 1039.31, "end": 1039.71, "word": " الشروط", "probability": 0.8279622395833334}, {"start": 1039.71, "end": 1040.03, "word": " وين", "probability": 0.95458984375}, {"start": 1040.03, "end": 1040.83, "word": " تنقضت", "probability": 0.7216796875}, {"start": 1040.83, "end": 1041.25, "word": " ال", "probability": 0.89111328125}, {"start": 1041.25, "end": 1041.43, "word": " F", "probability": 0.94189453125}, {"start": 1041.43, "end": 1041.61, "word": " of", "probability": 0.97119140625}, {"start": 1041.61, "end": 1041.79, "word": " N", "probability": 0.9931640625}, {"start": 1041.79, "end": 1042.29, "word": " موجبة", "probability": 0.9871419270833334}, {"start": 1042.29, "end": 1043.05, "word": " طبعا", "probability": 0.9661865234375}, {"start": 1043.05, "end": 1043.31, "word": " لأن", "probability": 0.734130859375}, {"start": 1043.31, "end": 1043.49, "word": " ال", "probability": 0.7109375}, {"start": 1043.49, "end": 1043.59, "word": " E", "probability": 0.6171875}, {"start": 1043.59, "end": 1044.01, "word": " موجبة", "probability": 0.98828125}, {"start": 1044.01, "end": 1044.11, "word": " و", "probability": 0.771484375}, {"start": 1044.11, "end": 1044.45, "word": " المقام", "probability": 0.8577473958333334}, {"start": 1044.45, "end": 1044.79, "word": " موجب", "probability": 0.8875325520833334}, {"start": 1044.79, "end": 1044.95, "word": " F", "probability": 0.426513671875}, {"start": 1044.95, "end": 1045.15, "word": " of", "probability": 0.97412109375}, {"start": 1045.15, "end": 1045.27, "word": " N", "probability": 0.99365234375}, {"start": 1045.27, "end": 1045.83, "word": " continuous", "probability": 0.8955078125}, {"start": 1045.83, "end": 1046.07, "word": " for", "probability": 0.95361328125}, {"start": 1046.07, "end": 1046.29, "word": " all", "probability": 0.89501953125}, {"start": 1046.29, "end": 1046.49, "word": " N", "probability": 0.87841796875}], "temperature": 1.0}, {"id": 44, "seek": 105829, "start": 1046.79, "end": 1058.29, "text": "الان جيب اللي هو المشتقق في براين تساوي مقام ترميع مقام في تفاضل ال bus ناقص ال bus في تفاضل المقام هي بالشكل هذا الان المقام موجبة بيقسم الموجبة بيضل هذا فيه عشان إشارة سالبة", "tokens": [6027, 7649, 10874, 1829, 3555, 13672, 1829, 31439, 9673, 8592, 2655, 4587, 4587, 8978, 4724, 23557, 9957, 6055, 3794, 995, 45865, 3714, 4587, 10943, 6055, 2288, 2304, 1829, 3615, 3714, 4587, 10943, 8978, 6055, 5172, 46958, 1211, 2423, 1255, 8717, 995, 4587, 9381, 2423, 1255, 8978, 6055, 5172, 46958, 1211, 9673, 4587, 10943, 39896, 20666, 8592, 28820, 23758, 2423, 7649, 9673, 4587, 10943, 3714, 29245, 49401, 4724, 1829, 4587, 38251, 9673, 29245, 49401, 4724, 1829, 11242, 1211, 23758, 8978, 3224, 6225, 8592, 7649, 11933, 8592, 9640, 3660, 8608, 6027, 49401], "avg_logprob": -0.2589285799435207, "compression_ratio": 1.901840490797546, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1046.79, "end": 1047.21, "word": "الان", "probability": 0.845458984375}, {"start": 1047.21, "end": 1047.49, "word": " جيب", "probability": 0.7881673177083334}, {"start": 1047.49, "end": 1047.67, "word": " اللي", "probability": 0.488525390625}, {"start": 1047.67, "end": 1047.87, "word": " هو", "probability": 0.95458984375}, {"start": 1047.87, "end": 1048.71, "word": " المشتقق", "probability": 0.826708984375}, {"start": 1048.71, "end": 1048.87, "word": " في", "probability": 0.54736328125}, {"start": 1048.87, "end": 1049.29, "word": " براين", "probability": 0.6659342447916666}, {"start": 1049.29, "end": 1049.89, "word": " تساوي", "probability": 0.8486328125}, {"start": 1049.89, "end": 1050.47, "word": " مقام", "probability": 0.927734375}, {"start": 1050.47, "end": 1050.81, "word": " ترميع", "probability": 0.70869140625}, {"start": 1050.81, "end": 1051.03, "word": " مقام", "probability": 0.990234375}, {"start": 1051.03, "end": 1051.17, "word": " في", "probability": 0.84228515625}, {"start": 1051.17, "end": 1051.53, "word": " تفاضل", "probability": 0.937255859375}, {"start": 1051.53, "end": 1051.61, "word": " ال", "probability": 0.685546875}, {"start": 1051.61, "end": 1051.73, "word": " bus", "probability": 0.8369140625}, {"start": 1051.73, "end": 1052.07, "word": " ناقص", "probability": 0.930419921875}, {"start": 1052.07, "end": 1052.17, "word": " ال", "probability": 0.96533203125}, {"start": 1052.17, "end": 1052.33, "word": " bus", "probability": 0.97216796875}, {"start": 1052.33, "end": 1052.47, "word": " في", "probability": 0.7978515625}, {"start": 1052.47, "end": 1052.81, "word": " تفاضل", "probability": 0.9871826171875}, {"start": 1052.81, "end": 1053.21, "word": " المقام", "probability": 0.9873046875}, {"start": 1053.21, "end": 1053.37, "word": " هي", "probability": 0.5517578125}, {"start": 1053.37, "end": 1053.79, "word": " بالشكل", "probability": 0.97119140625}, {"start": 1053.79, "end": 1054.11, "word": " هذا", "probability": 0.87353515625}, {"start": 1054.11, "end": 1054.87, "word": " الان", "probability": 0.755126953125}, {"start": 1054.87, "end": 1055.21, "word": " المقام", "probability": 0.9562174479166666}, {"start": 1055.21, "end": 1055.53, "word": " موجبة", "probability": 0.568115234375}, {"start": 1055.53, "end": 1055.87, "word": " بيقسم", "probability": 0.60528564453125}, {"start": 1055.87, "end": 1056.37, "word": " الموجبة", "probability": 0.8312174479166666}, {"start": 1056.37, "end": 1056.69, "word": " بيضل", "probability": 0.732177734375}, {"start": 1056.69, "end": 1056.87, "word": " هذا", "probability": 0.296630859375}, {"start": 1056.87, "end": 1057.17, "word": " فيه", "probability": 0.841064453125}, {"start": 1057.17, "end": 1057.53, "word": " عشان", "probability": 0.8772786458333334}, {"start": 1057.53, "end": 1057.87, "word": " إشارة", "probability": 0.9080810546875}, {"start": 1057.87, "end": 1058.29, "word": " سالبة", "probability": 0.7986653645833334}], "temperature": 1.0}, {"id": 45, "seek": 108669, "start": 1058.75, "end": 1086.69, "text": "الان لما ال N هو من واحد نشوف من واحد الان هذا بيصير E تربيع طبعا ال E تربيع يعني 2 من 7 من 10 لكل تربيع أكبر من الواحد وبالتالي هذا سالب N تساوي 2 كل ما كبرت ال N من واحد إلى مانا نهاية هذا المقدر بيكون أكبر من واحد وبالتالي بيكون هذا المقدر اللي بنقصين سالب for all N أكبر أو ساوي واحد إذا التلت شروط تبعتنا ال integral test انطبقت وبالتالي بروح بجيب التكامل بشيل X ال N بحط بدلها X", "tokens": [6027, 7649, 5296, 15042, 2423, 426, 31439, 9154, 36764, 24401, 8717, 8592, 38688, 9154, 36764, 24401, 2423, 7649, 23758, 4724, 1829, 9381, 13546, 462, 6055, 2288, 21292, 3615, 23032, 3555, 3615, 995, 2423, 462, 6055, 2288, 21292, 3615, 37495, 22653, 568, 9154, 1614, 9154, 1266, 5296, 28820, 6055, 2288, 21292, 3615, 5551, 4117, 26890, 9154, 2423, 14407, 24401, 46599, 6027, 2655, 6027, 1829, 23758, 8608, 6027, 3555, 426, 6055, 3794, 995, 45865, 568, 28242, 19446, 9122, 26890, 2655, 2423, 426, 9154, 36764, 24401, 30731, 3714, 7649, 995, 8717, 11296, 10632, 23758, 9673, 28543, 2288, 4724, 1829, 30544, 5551, 4117, 26890, 9154, 36764, 24401, 46599, 6027, 2655, 6027, 1829, 4724, 1829, 30544, 23758, 9673, 28543, 2288, 13672, 1829, 44945, 4587, 9381, 9957, 8608, 6027, 3555, 337, 439, 426, 5551, 4117, 26890, 34051, 8608, 995, 45865, 36764, 24401, 11933, 15730, 16712, 1211, 2655, 13412, 32887, 9566, 6055, 3555, 34268, 8315, 2423, 11573, 1500, 16472, 9566, 3555, 38149, 46599, 6027, 2655, 6027, 1829, 4724, 32887, 5016, 4724, 7435, 1829, 3555, 16712, 4117, 10943, 1211, 4724, 8592, 26895, 1783, 2423, 426, 4724, 5016, 9566, 47525, 1211, 11296, 1783], "avg_logprob": -0.20777026704839757, "compression_ratio": 2.166112956810631, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 1058.75, "end": 1059.15, "word": "الان", "probability": 0.689697265625}, {"start": 1059.15, "end": 1059.39, "word": " لما", "probability": 0.8037109375}, {"start": 1059.39, "end": 1059.59, "word": " ال", "probability": 0.916015625}, {"start": 1059.59, "end": 1059.73, "word": " N", "probability": 0.30859375}, {"start": 1059.73, "end": 1059.95, "word": " هو", "probability": 0.9541015625}, {"start": 1059.95, "end": 1060.13, "word": " من", "probability": 0.95703125}, {"start": 1060.13, "end": 1060.41, "word": " واحد", "probability": 0.756103515625}, {"start": 1060.41, "end": 1060.69, "word": " نشوف", "probability": 0.7842610677083334}, {"start": 1060.69, "end": 1060.83, "word": " من", "probability": 0.9296875}, {"start": 1060.83, "end": 1061.11, "word": " واحد", "probability": 0.989501953125}, {"start": 1061.11, "end": 1061.37, "word": " الان", "probability": 0.5413818359375}, {"start": 1061.37, "end": 1061.49, "word": " هذا", "probability": 0.285400390625}, {"start": 1061.49, "end": 1061.73, "word": " بيصير", "probability": 0.723541259765625}, {"start": 1061.73, "end": 1061.89, "word": " E", "probability": 0.734375}, {"start": 1061.89, "end": 1062.25, "word": " تربيع", "probability": 0.7911376953125}, {"start": 1062.25, "end": 1062.55, "word": " طبعا", "probability": 0.803253173828125}, {"start": 1062.55, "end": 1062.65, "word": " ال", "probability": 0.9384765625}, {"start": 1062.65, "end": 1062.85, "word": " E", "probability": 0.96826171875}, {"start": 1062.85, "end": 1063.47, "word": " تربيع", "probability": 0.9376220703125}, {"start": 1063.47, "end": 1063.93, "word": " يعني", "probability": 0.9013671875}, {"start": 1063.93, "end": 1064.15, "word": " 2", "probability": 0.76220703125}, {"start": 1064.15, "end": 1064.29, "word": " من", "probability": 0.14453125}, {"start": 1064.29, "end": 1064.49, "word": " 7", "probability": 0.8115234375}, {"start": 1064.49, "end": 1064.63, "word": " من", "probability": 0.9892578125}, {"start": 1064.63, "end": 1064.83, "word": " 10", "probability": 0.955078125}, {"start": 1064.83, "end": 1065.13, "word": " لكل", "probability": 0.786376953125}, {"start": 1065.13, "end": 1065.51, "word": " تربيع", "probability": 0.9337158203125}, {"start": 1065.51, "end": 1065.81, "word": " أكبر", "probability": 0.91259765625}, {"start": 1065.81, "end": 1065.99, "word": " من", "probability": 0.99169921875}, {"start": 1065.99, "end": 1066.45, "word": " الواحد", "probability": 0.72314453125}, {"start": 1066.45, "end": 1067.07, "word": " وبالتالي", "probability": 0.91357421875}, {"start": 1067.07, "end": 1067.37, "word": " هذا", "probability": 0.91064453125}, {"start": 1067.37, "end": 1067.79, "word": " سالب", "probability": 0.8548177083333334}, {"start": 1067.79, "end": 1068.29, "word": " N", "probability": 0.68212890625}, {"start": 1068.29, "end": 1068.67, "word": " تساوي", "probability": 0.7156982421875}, {"start": 1068.67, "end": 1068.89, "word": " 2", "probability": 0.9765625}, {"start": 1068.89, "end": 1069.25, "word": " كل", "probability": 0.86376953125}, {"start": 1069.25, "end": 1069.37, "word": " ما", "probability": 0.83837890625}, {"start": 1069.37, "end": 1069.75, "word": " كبرت", "probability": 0.9752604166666666}, {"start": 1069.75, "end": 1069.89, "word": " ال", "probability": 0.970703125}, {"start": 1069.89, "end": 1070.05, "word": " N", "probability": 0.96875}, {"start": 1070.05, "end": 1070.25, "word": " من", "probability": 0.99267578125}, {"start": 1070.25, "end": 1070.59, "word": " واحد", "probability": 0.920166015625}, {"start": 1070.59, "end": 1070.75, "word": " إلى", "probability": 0.87451171875}, {"start": 1070.75, "end": 1071.01, "word": " مانا", "probability": 0.61376953125}, {"start": 1071.01, "end": 1071.41, "word": " نهاية", "probability": 0.9156901041666666}, {"start": 1071.41, "end": 1071.85, "word": " هذا", "probability": 0.91552734375}, {"start": 1071.85, "end": 1072.23, "word": " المقدر", "probability": 0.86865234375}, {"start": 1072.23, "end": 1072.49, "word": " بيكون", "probability": 0.9222005208333334}, {"start": 1072.49, "end": 1072.95, "word": " أكبر", "probability": 0.9549153645833334}, {"start": 1072.95, "end": 1073.49, "word": " من", "probability": 0.99609375}, {"start": 1073.49, "end": 1074.09, "word": " واحد", "probability": 0.90966796875}, {"start": 1074.09, "end": 1074.67, "word": " وبالتالي", "probability": 0.93232421875}, {"start": 1074.67, "end": 1074.99, "word": " بيكون", "probability": 0.800537109375}, {"start": 1074.99, "end": 1075.21, "word": " هذا", "probability": 0.970703125}, {"start": 1075.21, "end": 1075.63, "word": " المقدر", "probability": 0.9853515625}, {"start": 1075.63, "end": 1075.75, "word": " اللي", "probability": 0.943603515625}, {"start": 1075.75, "end": 1076.29, "word": " بنقصين", "probability": 0.607391357421875}, {"start": 1076.29, "end": 1077.31, "word": " سالب", "probability": 0.9768880208333334}, {"start": 1077.31, "end": 1077.49, "word": " for", "probability": 0.86865234375}, {"start": 1077.49, "end": 1077.67, "word": " all", "probability": 0.93505859375}, {"start": 1077.67, "end": 1077.87, "word": " N", "probability": 0.90087890625}, {"start": 1077.87, "end": 1078.21, "word": " أكبر", "probability": 0.9716796875}, {"start": 1078.21, "end": 1078.39, "word": " أو", "probability": 0.70361328125}, {"start": 1078.39, "end": 1078.75, "word": " ساوي", "probability": 0.8582356770833334}, {"start": 1078.75, "end": 1079.45, "word": " واحد", "probability": 0.837646484375}, {"start": 1079.45, "end": 1079.67, "word": " إذا", "probability": 0.612060546875}, {"start": 1079.67, "end": 1080.03, "word": " التلت", "probability": 0.6780598958333334}, {"start": 1080.03, "end": 1080.33, "word": " شروط", "probability": 0.9210611979166666}, {"start": 1080.33, "end": 1080.69, "word": " تبعتنا", "probability": 0.7579345703125}, {"start": 1080.69, "end": 1080.81, "word": " ال", "probability": 0.767578125}, {"start": 1080.81, "end": 1081.11, "word": " integral", "probability": 0.497314453125}, {"start": 1081.11, "end": 1081.43, "word": " test", "probability": 0.9111328125}, {"start": 1081.43, "end": 1082.19, "word": " انطبقت", "probability": 0.8946533203125}, {"start": 1082.19, "end": 1082.87, "word": " وبالتالي", "probability": 0.92099609375}, {"start": 1082.87, "end": 1083.17, "word": " بروح", "probability": 0.98876953125}, {"start": 1083.17, "end": 1083.63, "word": " بجيب", "probability": 0.9893798828125}, {"start": 1083.63, "end": 1084.37, "word": " التكامل", "probability": 0.9810791015625}, {"start": 1084.37, "end": 1085.03, "word": " بشيل", "probability": 0.8990885416666666}, {"start": 1085.03, "end": 1085.23, "word": " X", "probability": 0.65087890625}, {"start": 1085.23, "end": 1085.53, "word": " ال", "probability": 0.5166015625}, {"start": 1085.53, "end": 1085.69, "word": " N", "probability": 0.9501953125}, {"start": 1085.69, "end": 1085.99, "word": " بحط", "probability": 0.8001302083333334}, {"start": 1085.99, "end": 1086.35, "word": " بدلها", "probability": 0.73681640625}, {"start": 1086.35, "end": 1086.69, "word": " X", "probability": 0.98681640625}], "temperature": 1.0}, {"id": 46, "seek": 111602, "start": 1086.92, "end": 1116.02, "text": "وبنكمل من 1 إلى ملانهية وبنعيد تعريفه عن طريق ال limit فبطلع اللي هو tan inverse قولنا هدى E أُس X اللي هي U وE أُس X بي X بي U يعني هدى D وعلى 1 زائد U تربيع اللي هي tan inverse E أُس X من 1 إلى B بنعود بالأول بالـB ومن بعدين بنعود بالواحد لأن ال limit لما B تقول ملانهية E أُس B ملانهية تان inverse الملانهية Pi على 2", "tokens": [37746, 1863, 24793, 1211, 9154, 502, 30731, 3714, 1211, 7649, 3224, 10632, 46599, 1863, 3615, 25708, 37279, 16572, 5172, 3224, 18871, 23032, 16572, 4587, 2423, 4948, 6156, 3555, 9566, 1211, 3615, 13672, 1829, 31439, 7603, 17340, 12174, 12610, 8315, 8032, 3215, 7578, 462, 5551, 10859, 3794, 1783, 13672, 1829, 39896, 624, 4032, 36, 5551, 10859, 3794, 1783, 4724, 1829, 1783, 4724, 1829, 624, 37495, 22653, 8032, 3215, 7578, 413, 4032, 3615, 23942, 502, 30767, 16373, 3215, 624, 6055, 2288, 21292, 3615, 13672, 1829, 39896, 7603, 17340, 462, 5551, 10859, 3794, 1783, 9154, 502, 30731, 363, 44945, 3615, 23328, 20666, 10721, 12610, 20666, 39184, 33, 4032, 27842, 39182, 9957, 44945, 3615, 23328, 20666, 14407, 24401, 5296, 33456, 2423, 4948, 5296, 15042, 363, 6055, 39648, 3714, 1211, 7649, 3224, 10632, 462, 5551, 10859, 3794, 363, 3714, 1211, 7649, 3224, 10632, 6055, 7649, 17340, 9673, 1211, 7649, 3224, 10632, 17741, 15844, 568], "avg_logprob": -0.29145834743976595, "compression_ratio": 1.9765625, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 1086.92, "end": 1087.56, "word": "وبنكمل", "probability": 0.74127197265625}, {"start": 1087.56, "end": 1087.7, "word": " من", "probability": 0.9521484375}, {"start": 1087.7, "end": 1087.94, "word": " 1", "probability": 0.77294921875}, {"start": 1087.94, "end": 1088.28, "word": " إلى", "probability": 0.88134765625}, {"start": 1088.28, "end": 1089.4, "word": " ملانهية", "probability": 0.637744140625}, {"start": 1089.4, "end": 1090.44, "word": " وبنعيد", "probability": 0.7611083984375}, {"start": 1090.44, "end": 1090.92, "word": " تعريفه", "probability": 0.9744873046875}, {"start": 1090.92, "end": 1091.04, "word": " عن", "probability": 0.97265625}, {"start": 1091.04, "end": 1091.46, "word": " طريق", "probability": 0.9939778645833334}, {"start": 1091.46, "end": 1091.66, "word": " ال", "probability": 0.703125}, {"start": 1091.66, "end": 1091.96, "word": " limit", "probability": 0.751953125}, {"start": 1091.96, "end": 1092.92, "word": " فبطلع", "probability": 0.843359375}, {"start": 1092.92, "end": 1093.24, "word": " اللي", "probability": 0.5404052734375}, {"start": 1093.24, "end": 1093.62, "word": " هو", "probability": 0.68017578125}, {"start": 1093.62, "end": 1093.84, "word": " tan", "probability": 0.75634765625}, {"start": 1093.84, "end": 1094.18, "word": " inverse", "probability": 0.84619140625}, {"start": 1094.18, "end": 1094.5, "word": " قولنا", "probability": 0.6900227864583334}, {"start": 1094.5, "end": 1094.82, "word": " هدى", "probability": 0.3145345052083333}, {"start": 1094.82, "end": 1095.1, "word": " E", "probability": 0.81396484375}, {"start": 1095.1, "end": 1095.72, "word": " أُس", "probability": 0.6532389322916666}, {"start": 1095.72, "end": 1096.0, "word": " X", "probability": 0.9541015625}, {"start": 1096.0, "end": 1096.3, "word": " اللي", "probability": 0.5137939453125}, {"start": 1096.3, "end": 1096.54, "word": " هي", "probability": 0.9033203125}, {"start": 1096.54, "end": 1096.84, "word": " U", "probability": 0.9287109375}, {"start": 1096.84, "end": 1097.52, "word": " وE", "probability": 0.81103515625}, {"start": 1097.52, "end": 1097.8, "word": " أُس", "probability": 0.97021484375}, {"start": 1097.8, "end": 1097.98, "word": " X", "probability": 0.955078125}, {"start": 1097.98, "end": 1098.22, "word": " بي", "probability": 0.570556640625}, {"start": 1098.22, "end": 1098.46, "word": " X", "probability": 0.80322265625}, {"start": 1098.46, "end": 1098.72, "word": " بي", "probability": 0.9423828125}, {"start": 1098.72, "end": 1098.84, "word": " U", "probability": 0.99462890625}, {"start": 1098.84, "end": 1099.06, "word": " يعني", "probability": 0.860595703125}, {"start": 1099.06, "end": 1099.3, "word": " هدى", "probability": 0.9287109375}, {"start": 1099.3, "end": 1099.48, "word": " D", "probability": 0.450439453125}, {"start": 1099.48, "end": 1099.74, "word": " وعلى", "probability": 0.6587727864583334}, {"start": 1099.74, "end": 1099.96, "word": " 1", "probability": 0.5849609375}, {"start": 1099.96, "end": 1100.28, "word": " زائد", "probability": 0.7154947916666666}, {"start": 1100.28, "end": 1100.4, "word": " U", "probability": 0.93310546875}, {"start": 1100.4, "end": 1100.94, "word": " تربيع", "probability": 0.860595703125}, {"start": 1100.94, "end": 1101.34, "word": " اللي", "probability": 0.930908203125}, {"start": 1101.34, "end": 1101.48, "word": " هي", "probability": 0.771484375}, {"start": 1101.48, "end": 1101.78, "word": " tan", "probability": 0.919921875}, {"start": 1101.78, "end": 1102.32, "word": " inverse", "probability": 0.91357421875}, {"start": 1102.32, "end": 1102.9, "word": " E", "probability": 0.349609375}, {"start": 1102.9, "end": 1103.32, "word": " أُس", "probability": 0.9690755208333334}, {"start": 1103.32, "end": 1103.5, "word": " X", "probability": 0.99267578125}, {"start": 1103.5, "end": 1104.92, "word": " من", "probability": 0.426025390625}, {"start": 1104.92, "end": 1106.26, "word": " 1", "probability": 0.95458984375}, {"start": 1106.26, "end": 1106.5, "word": " إلى", "probability": 0.9306640625}, {"start": 1106.5, "end": 1106.72, "word": " B", "probability": 0.81494140625}, {"start": 1106.72, "end": 1107.52, "word": " بنعود", "probability": 0.7311197916666666}, {"start": 1107.52, "end": 1107.96, "word": " بالأول", "probability": 0.95556640625}, {"start": 1107.96, "end": 1108.42, "word": " بالـB", "probability": 0.552978515625}, {"start": 1108.42, "end": 1109.0, "word": " ومن", "probability": 0.593994140625}, {"start": 1109.0, "end": 1109.2, "word": " بعدين", "probability": 0.4661865234375}, {"start": 1109.2, "end": 1109.62, "word": " بنعود", "probability": 0.8650716145833334}, {"start": 1109.62, "end": 1110.5, "word": " بالواحد", "probability": 0.9007161458333334}, {"start": 1110.5, "end": 1111.36, "word": " لأن", "probability": 0.532958984375}, {"start": 1111.36, "end": 1111.48, "word": " ال", "probability": 0.91845703125}, {"start": 1111.48, "end": 1111.66, "word": " limit", "probability": 0.9580078125}, {"start": 1111.66, "end": 1111.92, "word": " لما", "probability": 0.825439453125}, {"start": 1111.92, "end": 1112.06, "word": " B", "probability": 0.356201171875}, {"start": 1112.06, "end": 1112.34, "word": " تقول", "probability": 0.970458984375}, {"start": 1112.34, "end": 1112.9, "word": " ملانهية", "probability": 0.943359375}, {"start": 1112.9, "end": 1113.04, "word": " E", "probability": 0.611328125}, {"start": 1113.04, "end": 1113.26, "word": " أُس", "probability": 0.9513346354166666}, {"start": 1113.26, "end": 1113.38, "word": " B", "probability": 0.81494140625}, {"start": 1113.38, "end": 1113.92, "word": " ملانهية", "probability": 0.983203125}, {"start": 1113.92, "end": 1114.22, "word": " تان", "probability": 0.57220458984375}, {"start": 1114.22, "end": 1114.6, "word": " inverse", "probability": 0.85302734375}, {"start": 1114.6, "end": 1115.28, "word": " الملانهية", "probability": 0.94541015625}, {"start": 1115.28, "end": 1115.56, "word": " Pi", "probability": 0.1273193359375}, {"start": 1115.56, "end": 1115.76, "word": " على", "probability": 0.72314453125}, {"start": 1115.76, "end": 1116.02, "word": " 2", "probability": 0.97021484375}], "temperature": 1.0}, {"id": 47, "seek": 113735, "start": 1116.52, "end": 1137.36, "text": "وتان انفرس E بتظهر تان انفرس E الانهاد عبارة عن عدد حقيقي يعني التكامل تبعنا موجود يعني converge هو بالتالي by the integral test ال series converge طبعا ال test هذا سهل و بسيط وهذا أول test ناخده في التكاملات ال series of positive caps", "tokens": [35473, 7649, 16472, 5172, 2288, 3794, 462, 39894, 19913, 3224, 2288, 6055, 7649, 16472, 5172, 2288, 3794, 462, 2423, 7649, 11296, 3215, 6225, 3555, 9640, 3660, 18871, 6225, 3215, 3215, 11331, 38436, 38436, 37495, 22653, 16712, 4117, 10943, 1211, 6055, 3555, 3615, 8315, 3714, 29245, 23328, 37495, 22653, 41881, 31439, 20666, 2655, 6027, 1829, 538, 264, 11573, 1500, 2423, 2638, 41881, 23032, 3555, 3615, 995, 2423, 1500, 23758, 8608, 3224, 1211, 4032, 4724, 3794, 1829, 9566, 37037, 15730, 5551, 12610, 1500, 8717, 47283, 3215, 3224, 8978, 16712, 4117, 10943, 1211, 9307, 2423, 2638, 295, 3353, 13855], "avg_logprob": -0.29478092783505155, "compression_ratio": 1.7246376811594204, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1116.52, "end": 1116.92, "word": "وتان", "probability": 0.44207763671875}, {"start": 1116.92, "end": 1117.26, "word": " انفرس", "probability": 0.74951171875}, {"start": 1117.26, "end": 1117.42, "word": " E", "probability": 0.402099609375}, {"start": 1117.42, "end": 1117.78, "word": " بتظهر", "probability": 0.614715576171875}, {"start": 1117.78, "end": 1118.02, "word": " تان", "probability": 0.578125}, {"start": 1118.02, "end": 1118.44, "word": " انفرس", "probability": 0.975830078125}, {"start": 1118.44, "end": 1118.76, "word": " E", "probability": 0.84033203125}, {"start": 1118.76, "end": 1119.3, "word": " الانهاد", "probability": 0.591156005859375}, {"start": 1119.3, "end": 1119.64, "word": " عبارة", "probability": 0.97705078125}, {"start": 1119.64, "end": 1119.82, "word": " عن", "probability": 0.99658203125}, {"start": 1119.82, "end": 1120.16, "word": " عدد", "probability": 0.9847005208333334}, {"start": 1120.16, "end": 1120.82, "word": " حقيقي", "probability": 0.98291015625}, {"start": 1120.82, "end": 1121.34, "word": " يعني", "probability": 0.70947265625}, {"start": 1121.34, "end": 1121.8, "word": " التكامل", "probability": 0.9630126953125}, {"start": 1121.8, "end": 1122.14, "word": " تبعنا", "probability": 0.7249908447265625}, {"start": 1122.14, "end": 1122.74, "word": " موجود", "probability": 0.9786783854166666}, {"start": 1122.74, "end": 1123.0, "word": " يعني", "probability": 0.7100830078125}, {"start": 1123.0, "end": 1123.46, "word": " converge", "probability": 0.349609375}, {"start": 1123.46, "end": 1123.88, "word": " هو", "probability": 0.68603515625}, {"start": 1123.88, "end": 1124.22, "word": " بالتالي", "probability": 0.78021240234375}, {"start": 1124.22, "end": 1124.42, "word": " by", "probability": 0.3017578125}, {"start": 1124.42, "end": 1124.56, "word": " the", "probability": 0.8525390625}, {"start": 1124.56, "end": 1124.96, "word": " integral", "probability": 0.7666015625}, {"start": 1124.96, "end": 1125.28, "word": " test", "probability": 0.76171875}, {"start": 1125.28, "end": 1125.48, "word": " ال", "probability": 0.2225341796875}, {"start": 1125.48, "end": 1125.82, "word": " series", "probability": 0.7255859375}, {"start": 1125.82, "end": 1126.78, "word": " converge", "probability": 0.93896484375}, {"start": 1126.78, "end": 1127.42, "word": " طبعا", "probability": 0.9368896484375}, {"start": 1127.42, "end": 1127.58, "word": " ال", "probability": 0.89599609375}, {"start": 1127.58, "end": 1127.76, "word": " test", "probability": 0.94873046875}, {"start": 1127.76, "end": 1128.0, "word": " هذا", "probability": 0.7763671875}, {"start": 1128.0, "end": 1128.3, "word": " سهل", "probability": 0.81689453125}, {"start": 1128.3, "end": 1128.44, "word": " و", "probability": 0.60888671875}, {"start": 1128.44, "end": 1129.38, "word": " بسيط", "probability": 0.899169921875}, {"start": 1129.38, "end": 1130.0, "word": " وهذا", "probability": 0.79150390625}, {"start": 1130.0, "end": 1130.26, "word": " أول", "probability": 0.882080078125}, {"start": 1130.26, "end": 1130.56, "word": " test", "probability": 0.9560546875}, {"start": 1130.56, "end": 1131.12, "word": " ناخده", "probability": 0.9803466796875}, {"start": 1131.12, "end": 1131.44, "word": " في", "probability": 0.93896484375}, {"start": 1131.44, "end": 1133.42, "word": " التكاملات", "probability": 0.87783203125}, {"start": 1133.42, "end": 1133.78, "word": " ال", "probability": 0.1932373046875}, {"start": 1133.78, "end": 1135.74, "word": " series", "probability": 0.865234375}, {"start": 1135.74, "end": 1136.06, "word": " of", "probability": 0.9189453125}, {"start": 1136.06, "end": 1136.54, "word": " positive", "probability": 0.91796875}, {"start": 1136.54, "end": 1137.36, "word": " caps", "probability": 0.478515625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1138.8226875, "duration_after_vad": 1123.0800000000004}
\ No newline at end of file