diff --git "a/PL9fwy3NUQKwZHPs6l8Fr-st-8cVJxmVek/CRzAwh3Ypto_raw.json" "b/PL9fwy3NUQKwZHPs6l8Fr-st-8cVJxmVek/CRzAwh3Ypto_raw.json"
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@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3665, "start": 21.58, "end": 36.66, "text": "بسم الله الرحمن الرحيم ان شاء الله اليوم هناخد section خمسة اتنين اللي عنوانه combination of continuous functions قبل ما ناخد اول نظرية", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 16472, 13412, 16606, 21984, 45595, 20498, 8032, 1863, 47283, 3215, 3541, 16490, 2304, 3794, 3660, 1975, 2655, 1863, 9957, 13672, 1829, 18871, 2407, 7649, 3224, 6562, 295, 10957, 6828, 12174, 36150, 19446, 8717, 47283, 3215, 1975, 12610, 8717, 19913, 2288, 10632], "avg_logprob": -0.13855698646283618, "compression_ratio": 1.4413793103448276, "no_speech_prob": 0.0, "words": [{"start": 21.58, "end": 21.92, "word": "بسم", "probability": 0.789794921875}, {"start": 21.92, "end": 22.1, "word": " الله", "probability": 0.955078125}, {"start": 22.1, "end": 22.52, "word": " الرحمن", "probability": 0.9814453125}, {"start": 22.52, "end": 23.28, "word": " الرحيم", "probability": 0.9954427083333334}, {"start": 23.28, 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"word": " are", "probability": 0.63818359375}, {"start": 168.91, "end": 171.17, "word": " continuous", "probability": 0.87939453125}, {"start": 171.17, "end": 172.21, "word": " at", "probability": 0.9755859375}, {"start": 172.21, "end": 173.63, "word": " C", "probability": 0.9775390625}], "temperature": 1.0}, {"id": 7, "seek": 20095, "start": 175.23, "end": 200.95, "text": "B إذا كان H H of X لا تساوي سفر لكل X في A then F على H الدالة F على H is continuous is continuous at C", "tokens": [33, 11933, 15730, 25961, 389, 389, 295, 1783, 20193, 6055, 3794, 995, 45865, 8608, 5172, 2288, 5296, 28820, 1783, 8978, 316, 550, 479, 15844, 389, 32748, 6027, 3660, 479, 15844, 389, 307, 10957, 307, 10957, 412, 383], "avg_logprob": -0.2177220430029066, "compression_ratio": 1.2477064220183487, "no_speech_prob": 0.0, "words": [{"start": 175.23, "end": 175.73, "word": "B", "probability": 0.158935546875}, {"start": 175.73, "end": 176.21, "word": " إذا", "probability": 0.86474609375}, {"start": 176.21, 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" C", "probability": 0.97607421875}], "temperature": 1.0}, {"id": 8, "seek": 22853, "start": 205.45, "end": 228.53, "text": "وهي البرهان proof to show مثلا ال function fg is continuous at c", "tokens": [2407, 3224, 1829, 2423, 26890, 3224, 7649, 8177, 281, 855, 50113, 15040, 2423, 2445, 283, 70, 307, 10957, 412, 269], "avg_logprob": -0.24125743479955764, "compression_ratio": 0.963855421686747, "no_speech_prob": 0.0, "words": [{"start": 205.45, "end": 206.11, "word": "وهي", "probability": 0.6007486979166666}, {"start": 206.11, "end": 206.75, "word": " البرهان", "probability": 0.9329833984375}, {"start": 206.75, "end": 207.37, "word": " proof", "probability": 0.45458984375}, {"start": 207.37, "end": 218.19, "word": " to", "probability": 0.6875}, {"start": 218.19, "end": 218.75, "word": " show", "probability": 0.97119140625}, {"start": 218.75, "end": 220.69, "word": " مثلا", "probability": 0.9775390625}, {"start": 220.69, "end": 220.89, "word": " ال", "probability": 0.82080078125}, 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"probability": 0.876953125}, {"start": 251.15, "end": 251.45, "word": " دالك", "probability": 0.76220703125}, {"start": 251.45, "end": 252.07, "word": " بتثبت", "probability": 0.97412109375}, {"start": 252.07, "end": 252.29, "word": " ان", "probability": 0.8818359375}, {"start": 252.29, "end": 254.03, "word": " الشرط", "probability": 0.7620442708333334}, {"start": 254.03, "end": 254.27, "word": " هذا", "probability": 0.7431640625}, {"start": 254.27, "end": 254.51, "word": " تبع", "probability": 0.7897135416666666}, {"start": 254.51, "end": 254.99, "word": " الاتصال", "probability": 0.88134765625}, {"start": 254.99, "end": 255.11, "word": " على", "probability": 0.44580078125}, {"start": 255.11, "end": 255.47, "word": " النقطة", "probability": 0.9685872395833334}, {"start": 255.47, "end": 256.11, "word": " بتحقق", "probability": 0.8941650390625}, {"start": 256.11, "end": 257.15, "word": " فتعالى", "probability": 0.933203125}, {"start": 257.15, "end": 257.55, "word": " نشوف", "probability": 0.9954427083333334}, {"start": 257.55, "end": 258.09, "word": " high", "probability": 0.350341796875}, {"start": 258.09, "end": 258.57, "word": " limit", "probability": 0.93310546875}, {"start": 258.57, "end": 260.71, "word": " F", "probability": 0.828125}, {"start": 260.71, "end": 261.13, "word": " ضرب", "probability": 0.96728515625}, {"start": 261.13, "end": 261.49, "word": " G", "probability": 0.95263671875}], "temperature": 1.0}, {"id": 10, "seek": 29213, "start": 263.27, "end": 292.13, "text": "عند X لما X تقول لـC بنثبت أن هذا بيساوي FG عند C فهذا بيساوي limit F of X ضرب G of X as X tends to C هذا من تعريف حصل ضرب اخترانين وهذا بيساوي أنا عندي limit F of X لما X تقول لـC exist", "tokens": [3615, 1863, 3215, 1783, 5296, 15042, 1783, 6055, 39648, 5296, 39184, 34, 44945, 12984, 3555, 2655, 14739, 23758, 4724, 1829, 3794, 995, 45865, 479, 38, 43242, 383, 6156, 3224, 15730, 4724, 1829, 3794, 995, 45865, 4948, 479, 295, 1783, 48812, 25513, 460, 295, 1783, 382, 1783, 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0.6181640625}, {"start": 267.55, "end": 267.89, "word": " هذا", "probability": 0.92041015625}, {"start": 267.89, "end": 268.57, "word": " بيساوي", "probability": 0.73271484375}, {"start": 268.57, "end": 269.41, "word": " FG", "probability": 0.724853515625}, {"start": 269.41, "end": 269.93, "word": " عند", "probability": 0.255615234375}, {"start": 269.93, "end": 270.21, "word": " C", "probability": 0.970703125}, {"start": 270.21, "end": 273.19, "word": " فهذا", "probability": 0.9161783854166666}, {"start": 273.19, "end": 273.81, "word": " بيساوي", "probability": 0.97958984375}, {"start": 273.81, "end": 274.33, "word": " limit", "probability": 0.771484375}, {"start": 274.33, "end": 275.67, "word": " F", "probability": 0.76220703125}, {"start": 275.67, "end": 275.97, "word": " of", "probability": 0.69775390625}, {"start": 275.97, "end": 276.45, "word": " X", "probability": 0.9951171875}, {"start": 276.45, "end": 277.33, "word": " ضرب", "probability": 0.880615234375}, {"start": 277.33, "end": 278.75, "word": " G", "probability": 0.9111328125}, {"start": 278.75, "end": 279.01, "word": " of", "probability": 0.966796875}, {"start": 279.01, "end": 279.41, "word": " X", "probability": 0.9970703125}, {"start": 279.41, "end": 279.89, "word": " as", "probability": 0.85009765625}, {"start": 279.89, "end": 280.25, "word": " X", "probability": 0.994140625}, {"start": 280.25, "end": 280.63, "word": " tends", "probability": 0.8515625}, {"start": 280.63, "end": 280.79, "word": " to", "probability": 0.98388671875}, {"start": 280.79, "end": 281.09, "word": " C", "probability": 0.984375}, {"start": 281.09, "end": 282.19, "word": " هذا", "probability": 0.759765625}, {"start": 282.19, "end": 282.37, "word": " من", "probability": 0.935546875}, {"start": 282.37, "end": 282.73, "word": " تعريف", "probability": 0.9923502604166666}, {"start": 282.73, "end": 283.05, "word": " حصل", "probability": 0.79052734375}, {"start": 283.05, "end": 283.31, "word": " ضرب", "probability": 0.986572265625}, {"start": 283.31, "end": 283.95, "word": " اخترانين", "probability": 0.884765625}, {"start": 283.95, "end": 285.49, "word": " وهذا", "probability": 0.771728515625}, {"start": 285.49, "end": 286.29, "word": " بيساوي", "probability": 0.9826171875}, {"start": 286.29, "end": 288.25, "word": " أنا", "probability": 0.42822265625}, {"start": 288.25, "end": 288.61, "word": " عندي", "probability": 0.777099609375}, {"start": 288.61, "end": 288.91, "word": " limit", "probability": 0.97802734375}, {"start": 288.91, "end": 289.25, "word": " F", "probability": 0.94921875}, {"start": 289.25, "end": 289.49, "word": " of", "probability": 0.9638671875}, {"start": 289.49, "end": 289.87, "word": " X", "probability": 0.9970703125}, {"start": 289.87, "end": 290.33, "word": " لما", "probability": 0.97607421875}, {"start": 290.33, "end": 290.63, "word": " X", "probability": 0.98291015625}, {"start": 290.63, "end": 291.11, "word": " تقول", "probability": 0.98876953125}, {"start": 291.11, "end": 291.63, "word": 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" تمام", "probability": 0.90625}, {"start": 350.24, "end": 352.04, "word": " ال", "probability": 0.34619140625}, {"start": 352.04, "end": 352.5, "word": " proof", "probability": 0.50927734375}, {"start": 352.5, "end": 355.26, "word": " ال", "probability": 0.72607421875}, {"start": 355.26, "end": 355.9, "word": " proof", "probability": 0.97705078125}, {"start": 355.9, "end": 357.88, "word": " of", "probability": 0.84814453125}, {"start": 357.88, "end": 359.94, "word": " the", "probability": 0.53369140625}, {"start": 359.94, "end": 360.58, "word": " other", "probability": 0.90625}], "temperature": 1.0}, {"id": 14, "seek": 38830, "start": 365.54, "end": 388.3, "text": "parts is similar مشابه للبرهان اللي احنا لسه ماخدينه يعني لإثبات ان مثلا مجموعة دلتين continuous برضه ممكن اثبات ان limit f زائد g لما x تقول ل c بساوي f زائد g and c", "tokens": [6971, 82, 307, 2531, 37893, 16758, 3224, 24976, 26890, 3224, 7649, 13672, 1829, 1975, 5016, 8315, 5296, 3794, 3224, 3714, 47283, 3215, 9957, 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"word": " احنا", "probability": 0.8572591145833334}, {"start": 372.76, "end": 374.2, "word": " لسه", "probability": 0.955078125}, {"start": 374.2, "end": 375.76, "word": " ماخدينه", "probability": 0.95146484375}, {"start": 375.76, "end": 376.9, "word": " يعني", "probability": 0.739990234375}, {"start": 376.9, "end": 377.5, "word": " لإثبات", "probability": 0.8384765625}, {"start": 377.5, "end": 377.64, "word": " ان", "probability": 0.341552734375}, {"start": 377.64, "end": 377.96, "word": " مثلا", "probability": 0.779541015625}, {"start": 377.96, "end": 378.56, "word": " مجموعة", "probability": 0.89287109375}, {"start": 378.56, "end": 379.18, "word": " دلتين", "probability": 0.76031494140625}, {"start": 379.18, "end": 380.04, "word": " continuous", "probability": 0.9423828125}, {"start": 380.04, "end": 381.68, "word": " برضه", "probability": 0.9812825520833334}, {"start": 381.68, "end": 381.96, "word": " ممكن", "probability": 0.979248046875}, {"start": 381.96, "end": 382.42, "word": " اثبات", "probability": 0.9068603515625}, {"start": 382.42, "end": 382.58, "word": " ان", "probability": 0.8671875}, {"start": 382.58, "end": 382.92, "word": " limit", "probability": 0.833984375}, {"start": 382.92, "end": 383.28, "word": " f", "probability": 0.6767578125}, {"start": 383.28, "end": 383.7, "word": " زائد", "probability": 0.6900227864583334}, {"start": 383.7, "end": 384.02, "word": " g", "probability": 0.95849609375}, {"start": 384.02, "end": 384.38, "word": " لما", "probability": 0.816650390625}, {"start": 384.38, "end": 384.66, "word": " x", "probability": 0.69140625}, {"start": 384.66, "end": 385.02, "word": " تقول", "probability": 0.809814453125}, {"start": 385.02, "end": 385.26, "word": " ل", "probability": 0.35107421875}, {"start": 385.26, "end": 385.54, "word": " c", "probability": 0.509765625}, {"start": 385.54, "end": 386.28, "word": " بساوي", "probability": 0.8333740234375}, {"start": 386.28, "end": 387.08, "word": " f", "probability": 0.91162109375}, {"start": 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538.87, "end": 563.09, "text": "أي واحدة من الدوايا الهادئة continuous على كل ال A فإيش بعمل بقول fix C تنتمي إلى A and then by above theorem", "tokens": [10721, 1829, 36764, 24401, 3660, 9154, 32748, 14407, 25528, 2423, 11296, 3215, 19986, 3660, 10957, 15844, 28242, 2423, 316, 6156, 28814, 1829, 8592, 4724, 25957, 1211, 4724, 39648, 3191, 383, 6055, 29399, 2304, 1829, 30731, 316, 293, 550, 538, 3673, 20904], "avg_logprob": -0.29203868834745317, "compression_ratio": 1.1691176470588236, "no_speech_prob": 0.0, "words": [{"start": 538.87, "end": 539.41, "word": "أي", "probability": 0.599365234375}, {"start": 539.41, "end": 540.49, "word": " واحدة", "probability": 0.9786783854166666}, {"start": 540.49, "end": 540.71, "word": " من", "probability": 0.99365234375}, {"start": 540.71, "end": 541.13, "word": " الدوايا", "probability": 0.6803385416666666}, {"start": 541.13, "end": 541.49, "word": " الهادئة", "probability": 0.70625}, {"start": 541.49, "end": 542.07, "word": " continuous", "probability": 0.41796875}, {"start": 542.07, "end": 542.55, "word": " على", "probability": 0.87060546875}, {"start": 542.55, "end": 542.89, "word": " كل", "probability": 0.919921875}, {"start": 542.89, "end": 543.09, "word": " ال", "probability": 0.6201171875}, {"start": 543.09, "end": 543.33, "word": " A", "probability": 0.1959228515625}, {"start": 543.33, "end": 544.43, "word": " فإيش", "probability": 0.77618408203125}, {"start": 544.43, "end": 544.83, "word": " بعمل", "probability": 0.9554036458333334}, {"start": 544.83, "end": 545.35, "word": " بقول", "probability": 0.809326171875}, {"start": 545.35, "end": 545.93, "word": " fix", "probability": 0.62841796875}, {"start": 545.93, "end": 548.79, "word": " C", "probability": 0.34228515625}, {"start": 548.79, "end": 549.69, "word": " تنتمي", "probability": 0.952392578125}, {"start": 549.69, "end": 549.91, "word": " إلى", "probability": 0.86962890625}, {"start": 549.91, "end": 550.31, "word": " A", "probability": 0.96826171875}, {"start": 550.31, "end": 555.77, "word": " and", "probability": 0.6171875}, {"start": 555.77, "end": 557.45, "word": " then", "probability": 0.8916015625}, {"start": 557.45, "end": 561.87, "word": " by", "probability": 0.861328125}, {"start": 561.87, "end": 562.47, "word": " above", "probability": 0.93359375}, {"start": 562.47, "end": 563.09, "word": " theorem", "probability": 0.85888671875}], "temperature": 1.0}, {"id": 22, "seek": 58704, "start": 568.74, "end": 587.04, "text": "by above theorem أنا الأن عندي كل واحدة من الدوال هدولة continuous على المجموعة a وبالتالي then", "tokens": [2322, 3673, 20904, 41850, 16247, 1863, 18871, 16254, 28242, 36764, 24401, 3660, 9154, 32748, 2407, 6027, 8032, 3215, 12610, 3660, 10957, 15844, 9673, 7435, 2304, 2407, 27884, 257, 46599, 6027, 2655, 6027, 1829, 550], "avg_logprob": -0.2709821479661124, "compression_ratio": 1.218487394957983, "no_speech_prob": 0.0, "words": [{"start": 568.74, "end": 569.14, "word": "by", "probability": 0.281982421875}, {"start": 569.14, "end": 569.58, "word": " above", "probability": 0.90478515625}, {"start": 569.58, "end": 570.22, "word": " theorem", "probability": 0.84521484375}, {"start": 570.22, "end": 575.22, "word": " أنا", "probability": 0.1571044921875}, {"start": 575.22, "end": 575.6, "word": " الأن", "probability": 0.7197265625}, {"start": 575.6, "end": 576.04, "word": " عندي", "probability": 0.7071533203125}, {"start": 576.04, "end": 576.36, "word": " كل", "probability": 0.96484375}, {"start": 576.36, "end": 576.7, "word": " واحدة", "probability": 0.9811197916666666}, {"start": 576.7, "end": 576.88, "word": " من", "probability": 0.99462890625}, {"start": 576.88, "end": 577.42, "word": " الدوال", "probability": 0.91796875}, {"start": 577.42, "end": 578.7, "word": " هدولة", "probability": 0.8953857421875}, {"start": 578.7, "end": 580.1, "word": " continuous", "probability": 0.87939453125}, {"start": 580.1, "end": 580.52, "word": " على", "probability": 0.57958984375}, {"start": 580.52, "end": 581.14, "word": " المجموعة", "probability": 0.8966796875}, {"start": 581.14, "end": 581.48, "word": " a", "probability": 0.3857421875}, {"start": 581.48, "end": 585.24, "word": " وبالتالي", "probability": 0.873046875}, {"start": 585.24, "end": 587.04, "word": " then", "probability": 0.814453125}], "temperature": 1.0}, {"id": 23, "seek": 61013, "start": 588.85, "end": 610.13, "text": "بما أنه F و G و H continuous على كل المجموعة A فهي continuous عند أي نقطة مش هيك تعرف الاتصال على مجموعة اذا F و G و H are continuous at C وبالتالي حسب النظرية السابقة", "tokens": [3555, 15042, 14739, 3224, 479, 4032, 460, 4032, 389, 10957, 15844, 28242, 9673, 7435, 2304, 2407, 27884, 316, 6156, 3224, 1829, 10957, 43242, 36632, 8717, 47432, 3660, 37893, 39896, 4117, 37279, 28480, 2423, 9307, 9381, 6027, 15844, 3714, 7435, 2304, 2407, 27884, 1975, 15730, 479, 4032, 460, 4032, 389, 366, 10957, 412, 383, 46599, 6027, 2655, 6027, 1829, 11331, 35457, 28239, 19913, 2288, 10632, 21136, 16758, 28671], 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"end": 592.17, "word": " A", "probability": 0.75634765625}, {"start": 592.17, "end": 592.49, "word": " فهي", "probability": 0.9456380208333334}, {"start": 592.49, "end": 592.89, "word": " continuous", "probability": 0.9580078125}, {"start": 592.89, "end": 593.25, "word": " عند", "probability": 0.61865234375}, {"start": 593.25, "end": 593.49, "word": " أي", "probability": 0.82080078125}, {"start": 593.49, "end": 594.01, "word": " نقطة", "probability": 0.9933268229166666}, {"start": 594.01, "end": 594.71, "word": " مش", "probability": 0.84619140625}, {"start": 594.71, "end": 594.89, "word": " هيك", "probability": 0.933837890625}, {"start": 594.89, "end": 595.13, "word": " تعرف", "probability": 0.885986328125}, {"start": 595.13, "end": 595.73, "word": " الاتصال", "probability": 0.822265625}, {"start": 595.73, "end": 595.87, "word": " على", "probability": 0.89013671875}, {"start": 595.87, "end": 596.45, "word": " مجموعة", "probability": 0.870703125}, {"start": 596.45, "end": 597.55, "word": " اذا", "probability": 0.6646728515625}, {"start": 597.55, "end": 598.07, "word": " F", "probability": 0.7060546875}, {"start": 598.07, "end": 598.51, "word": " و", "probability": 0.9248046875}, {"start": 598.51, "end": 598.93, "word": " G", "probability": 0.87841796875}, {"start": 598.93, "end": 600.05, "word": " و", "probability": 0.98486328125}, {"start": 600.05, "end": 600.41, "word": " H", "probability": 0.8349609375}, {"start": 600.41, "end": 601.09, "word": " are", "probability": 0.71240234375}, {"start": 601.09, "end": 603.91, "word": " continuous", "probability": 0.92138671875}, {"start": 603.91, "end": 605.93, "word": " at", "probability": 0.9619140625}, {"start": 605.93, "end": 606.45, "word": " C", "probability": 0.94189453125}, {"start": 606.45, "end": 608.51, "word": " وبالتالي", "probability": 0.94169921875}, {"start": 608.51, "end": 608.87, "word": " حسب", "probability": 0.969482421875}, {"start": 608.87, "end": 609.43, "word": " النظرية", "probability": 0.968017578125}, {"start": 609.43, "end": 610.13, "word": " السابقة", "probability": 0.98779296875}], "temperature": 1.0}, {"id": 24, "seek": 64878, "start": 619.92, "end": 648.78, "text": "So by above theorem all functions in parts A and B are continuous at C مش هي كثبتنا احنا في النظرية السابقة هذه اللي جاب ال head اللي انا عدلتها", "tokens": [6455, 538, 3673, 20904, 439, 6828, 294, 3166, 316, 293, 363, 366, 10957, 412, 383, 37893, 39896, 9122, 12984, 3555, 2655, 8315, 1975, 5016, 8315, 8978, 28239, 19913, 2288, 10632, 21136, 16758, 28671, 29538, 13672, 1829, 10874, 16758, 2423, 1378, 13672, 1829, 1975, 8315, 6225, 3215, 1211, 2655, 11296], "avg_logprob": -0.2371874964237213, "compression_ratio": 1.267515923566879, "no_speech_prob": 0.0, "words": [{"start": 619.92, "end": 620.5, "word": "So", "probability": 0.2320556640625}, {"start": 620.5, "end": 621.94, "word": " by", "probability": 0.72607421875}, {"start": 621.94, "end": 622.8, "word": " above", "probability": 0.89208984375}, 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0.97705078125}, {"start": 647.98, "end": 648.12, "word": " انا", "probability": 0.88134765625}, {"start": 648.12, "end": 648.78, "word": " عدلتها", "probability": 0.92216796875}], "temperature": 1.0}, {"id": 25, "seek": 67788, "start": 649.4, "end": 677.88, "text": "لو كان في عندي تلت دوال و كلهم متصلين عن النقطة فكل الدول الموجودة في الفرق a و الدول الموجودة في الفرق b كلهم بيطلعوا continuous عن نفس النقطة الان بما أن النقطة c was arbitrary since c belonged to a was arbitrary the above", "tokens": [1211, 2407, 25961, 8978, 18871, 16254, 6055, 1211, 2655, 11778, 2407, 6027, 4032, 28242, 16095, 44650, 36520, 9957, 18871, 28239, 47432, 3660, 6156, 28820, 32748, 12610, 9673, 29245, 23328, 3660, 8978, 27188, 2288, 4587, 257, 4032, 32748, 12610, 9673, 29245, 23328, 3660, 8978, 27188, 2288, 4587, 272, 28242, 16095, 4724, 1829, 9566, 1211, 3615, 14407, 10957, 18871, 8717, 36178, 28239, 47432, 3660, 2423, 7649, 4724, 15042, 14739, 28239, 47432, 3660, 269, 390, 23211, 1670, 269, 28611, 281, 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النقطة", "probability": 0.8307291666666666}, {"start": 653.08, "end": 654.22, "word": " فكل", "probability": 0.947265625}, {"start": 654.22, "end": 654.64, "word": " الدول", "probability": 0.690673828125}, {"start": 654.64, "end": 655.7, "word": " الموجودة", "probability": 0.8670654296875}, {"start": 655.7, "end": 655.8, "word": " في", "probability": 0.93359375}, {"start": 655.8, "end": 656.2, "word": " الفرق", "probability": 0.80712890625}, {"start": 656.2, "end": 656.46, "word": " a", "probability": 0.46728515625}, {"start": 656.46, "end": 656.64, "word": " و", "probability": 0.78173828125}, {"start": 656.64, "end": 657.04, "word": " الدول", "probability": 0.727294921875}, {"start": 657.04, "end": 658.16, "word": " الموجودة", "probability": 0.96240234375}, {"start": 658.16, "end": 658.26, "word": " في", "probability": 0.9677734375}, {"start": 658.26, "end": 658.6, "word": " الفرق", "probability": 0.9853515625}, {"start": 658.6, "end": 658.76, "word": " b", "probability": 0.64404296875}, {"start": 658.76, "end": 659.1, "word": " كلهم", "probability": 0.9111328125}, {"start": 659.1, "end": 659.78, "word": " بيطلعوا", "probability": 0.8519694010416666}, {"start": 659.78, "end": 660.62, "word": " continuous", "probability": 0.470703125}, {"start": 660.62, "end": 661.02, "word": " عن", "probability": 0.916015625}, {"start": 661.02, "end": 661.3, "word": " نفس", "probability": 0.996826171875}, {"start": 661.3, "end": 661.98, "word": " النقطة", "probability": 0.9856770833333334}, {"start": 661.98, "end": 662.8, "word": " الان", "probability": 0.74755859375}, {"start": 662.8, "end": 663.1, "word": " بما", "probability": 0.943603515625}, {"start": 663.1, "end": 663.26, "word": " أن", "probability": 0.5205078125}, {"start": 663.26, "end": 663.7, "word": " النقطة", "probability": 0.90185546875}, {"start": 663.7, "end": 663.9, "word": " c", "probability": 0.599609375}, {"start": 663.9, "end": 664.24, "word": " was", "probability": 0.91455078125}, {"start": 664.24, 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By chapter four احنا أثبتنا انه في الحالة هذه ال limit ل R of X as X tends to C بساوي R of C وبالتالي therefore R is continuous", "tokens": [6455, 538, 7187, 4386, 3146, 7187, 1451, 1975, 5016, 8315, 5551, 12984, 3555, 2655, 8315, 16472, 3224, 8978, 21542, 6027, 3660, 29538, 2423, 4948, 5296, 497, 295, 1783, 382, 1783, 12258, 281, 383, 4724, 3794, 995, 45865, 497, 295, 383, 46599, 6027, 2655, 6027, 1829, 4412, 497, 307, 10957], "avg_logprob": -0.27484376132488253, "compression_ratio": 1.2432432432432432, "no_speech_prob": 0.0, "words": [{"start": 980.99, "end": 981.53, "word": "So", "probability": 0.107177734375}, {"start": 981.53, "end": 982.41, "word": " by", "probability": 0.65234375}, {"start": 982.41, "end": 984.63, "word": " chapter", "probability": 0.8017578125}, {"start": 984.63, "end": 985.55, "word": " ..", "probability": 0.24462890625}, {"start": 985.55, "end": 987.79, "word": " By", "probability": 0.4501953125}, {"start": 987.79, "end": 988.35, "word": " chapter", 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absolute sign z أصغر من أو ساوى واحد لكل z في R هذا معروف من الرسمة تبعت ال sign function ال sign function أكبر قيمة إلها ال maximum value واحد وال absolute minimum سالب واحد إذا قيمها محصورة بينهم", "tokens": [3224, 1863, 14851, 9778, 40448, 21542, 4587, 16373, 4587, 16712, 6027, 10632, 8236, 1465, 710, 5551, 9381, 17082, 2288, 9154, 34051, 8608, 995, 2407, 7578, 36764, 24401, 5296, 28820, 710, 8978, 497, 23758, 20449, 32887, 5172, 9154, 34892, 38251, 3660, 6055, 3555, 34268, 2423, 1465, 2445, 2423, 1465, 2445, 5551, 4117, 26890, 12174, 32640, 3660, 11933, 1211, 11296, 2423, 6674, 2158, 36764, 24401, 16070, 8236, 7285, 8608, 6027, 3555, 36764, 24401, 11933, 15730, 12174, 32640, 11296, 3714, 5016, 9381, 13063, 3660, 49374, 16095], "avg_logprob": -0.18536086717531794, "compression_ratio": 1.5727699530516432, "no_speech_prob": 0.0, "words": [{"start": 1093.35, "end": 1094.31, "word": "هنستخدم", "probability": 0.87509765625}, {"start": 1094.31, "end": 1095.27, "word": " الحقائق", 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function", "probability": 0.966796875}, {"start": 1112.55, "end": 1112.95, "word": " أكبر", "probability": 0.9723307291666666}, {"start": 1112.95, "end": 1113.33, "word": " قيمة", "probability": 0.9920247395833334}, {"start": 1113.33, "end": 1113.57, "word": " إلها", "probability": 0.6691080729166666}, {"start": 1113.57, "end": 1113.69, "word": " ال", "probability": 0.52001953125}, {"start": 1113.69, "end": 1114.01, "word": " maximum", "probability": 0.966796875}, {"start": 1114.01, "end": 1114.49, "word": " value", "probability": 0.9921875}, {"start": 1114.49, "end": 1114.91, "word": " واحد", "probability": 0.95849609375}, {"start": 1114.91, "end": 1115.93, "word": " وال", "probability": 0.439697265625}, {"start": 1115.93, "end": 1116.87, "word": " absolute", "probability": 0.888671875}, {"start": 1116.87, "end": 1117.35, "word": " minimum", "probability": 0.9697265625}, {"start": 1117.35, "end": 1117.83, "word": " سالب", "probability": 0.73828125}, {"start": 1117.83, "end": 1118.19, "word": " واحد", "probability": 0.98974609375}, {"start": 1118.19, "end": 1118.39, "word": " إذا", "probability": 0.643310546875}, {"start": 1118.39, "end": 1118.87, "word": " قيمها", "probability": 0.95263671875}, {"start": 1118.87, "end": 1119.41, "word": " محصورة", "probability": 0.97119140625}, {"start": 1119.41, "end": 1119.83, "word": " بينهم", "probability": 0.9033203125}], "temperature": 1.0}, {"id": 41, "seek": 114874, "start": 1120.84, "end": 1148.74, "text": "إذن هذه واضحة من الرسم أو من تعريف ال function كذلك في اندي كمان absolute sin z أصغر من أو ساوي absolute z for all z في R إذن هذه موجود برهانها في chapter chapter 8", "tokens": [28814, 8848, 1863, 29538, 4032, 46958, 5016, 3660, 9154, 34892, 38251, 34051, 9154, 37279, 16572, 5172, 2423, 2445, 9122, 8848, 23275, 8978, 16472, 16254, 9122, 2304, 7649, 8236, 3343, 710, 5551, 9381, 17082, 2288, 9154, 34051, 8608, 995, 45865, 8236, 710, 337, 439, 710, 8978, 497, 11933, 8848, 1863, 29538, 3714, 29245, 23328, 4724, 2288, 3224, 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{"id": 55, "seek": 148133, "start": 1466.69, "end": 1481.33, "text": "من delta وانا اختار ال delta تساوي epsilon عشان يطلع absolute الفرق بين f of x وf of z أصغر من epsilon إذا هاي شرط epsilon delta لتعريف ال continuity و النقطة المتحققة", "tokens": [27842, 8289, 4032, 7649, 995, 1975, 46456, 9640, 2423, 8289, 6055, 3794, 995, 45865, 17889, 6225, 8592, 7649, 7251, 9566, 1211, 3615, 8236, 27188, 2288, 4587, 49374, 283, 295, 2031, 4032, 69, 295, 710, 5551, 9381, 17082, 2288, 9154, 17889, 11933, 15730, 8032, 47302, 13412, 2288, 9566, 17889, 8289, 5296, 2655, 3615, 16572, 5172, 2423, 23807, 4032, 28239, 47432, 3660, 9673, 2655, 5016, 4587, 4587, 3660], "avg_logprob": -0.22469683058226286, "compression_ratio": 1.4201183431952662, "no_speech_prob": 0.0, "words": [{"start": 1466.69, "end": 1467.05, "word": "من", "probability": 0.67626953125}, {"start": 1467.05, "end": 1467.53, "word": " delta", "probability": 0.334716796875}, {"start": 1467.53, "end": 1468.13, "word": " وانا", "probability": 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{"start": 1604.88, "end": 1608.82, "word": " تمام؟", "probability": 0.661865234375}, {"start": 1608.82, "end": 1609.76, "word": " و", "probability": 0.908203125}, {"start": 1609.76, "end": 1610.2, "word": " طبعا", "probability": 0.9892578125}, {"start": 1610.2, "end": 1610.82, "word": " هناخد", "probability": 0.9359130859375}, {"start": 1610.82, "end": 1610.94, "word": " ال", "probability": 0.9140625}, {"start": 1610.94, "end": 1611.32, "word": " absolute", "probability": 0.904296875}, {"start": 1611.32, "end": 1612.16, "word": " value", "probability": 0.99169921875}, {"start": 1612.16, "end": 1614.04, "word": " للطرفين", "probability": 0.9559326171875}], "temperature": 1.0}, {"id": 61, "seek": 163896, "start": 1616.18, "end": 1638.96, "text": "فهذا بيساوي ال absolute value للطرف التاني وباستخدام المتطابقات هذه فهذا هيطلع أصغر من absolute سالب اتنين بيطلع اتنين وهذا أصغر من absolute sine of z أصغر من أو ساوي الواحد و absolute cosine of z", "tokens": [5172, 3224, 15730, 4724, 1829, 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value", "probability": 0.98291015625}, {"start": 1618.04, "end": 1618.62, "word": " للطرف", "probability": 0.8943684895833334}, {"start": 1618.62, "end": 1619.4, "word": " التاني", "probability": 0.8751627604166666}, {"start": 1619.4, "end": 1621.92, "word": " وباستخدام", "probability": 0.870849609375}, {"start": 1621.92, "end": 1623.58, "word": " المتطابقات", "probability": 0.9855143229166666}, {"start": 1623.58, "end": 1624.1, "word": " هذه", "probability": 0.755859375}, {"start": 1624.1, "end": 1625.72, "word": " فهذا", "probability": 0.74267578125}, {"start": 1625.72, "end": 1626.16, "word": " هيطلع", "probability": 0.82763671875}, {"start": 1626.16, "end": 1626.6, "word": " أصغر", "probability": 0.909423828125}, {"start": 1626.6, "end": 1626.7, "word": " من", "probability": 0.98388671875}, {"start": 1626.7, "end": 1627.14, "word": " absolute", "probability": 0.8212890625}, {"start": 1627.14, "end": 1627.68, "word": " سالب", "probability": 0.8528645833333334}, {"start": 1627.68, "end": 1628.0, "word": " اتنين", "probability": 0.909423828125}, {"start": 1628.0, "end": 1628.38, "word": " بيطلع", "probability": 0.8552734375}, {"start": 1628.38, "end": 1628.96, "word": " اتنين", "probability": 0.9765625}, {"start": 1628.96, "end": 1630.18, "word": " وهذا", "probability": 0.824462890625}, {"start": 1630.18, "end": 1630.84, "word": " أصغر", "probability": 0.958740234375}, {"start": 1630.84, "end": 1631.38, "word": " من", "probability": 0.986328125}, {"start": 1631.38, "end": 1632.94, "word": " absolute", "probability": 0.462646484375}, {"start": 1632.94, "end": 1633.68, "word": " sine", "probability": 0.5224609375}, {"start": 1633.68, "end": 1633.96, "word": " of", "probability": 0.26220703125}, {"start": 1633.96, "end": 1634.26, "word": " z", "probability": 0.76708984375}, {"start": 1634.26, "end": 1634.88, "word": " أصغر", "probability": 0.8858642578125}, {"start": 1634.88, "end": 1635.1, "word": " من", "probability": 0.91455078125}, {"start": 1635.1, "end": 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{"start": 1651.33, "end": 1651.57, "word": " هذه", "probability": 0.3154296875}, {"start": 1651.57, "end": 1651.95, "word": " مش", "probability": 0.990234375}, {"start": 1651.95, "end": 1652.37, "word": " cosine", "probability": 0.72412109375}, {"start": 1652.37, "end": 1652.65, "word": " هذه", "probability": 0.5}, {"start": 1652.65, "end": 1653.03, "word": " sin", "probability": 0.49853515625}], "temperature": 1.0}, {"id": 63, "seek": 168346, "start": 1654.46, "end": 1683.46, "text": "هذه الـ sine فهي sine الـ z ال absolute value لها أصغر من أو يساوي الواحد وهي كمان sine أو absolute value ل sine ال z أصغر من أو يساوي absolute ال z ال z هنا اللي هو نص في x minus z فبطلع نص في absolute في absolute x minus z بطلع هذا بساوي absolute x minus z", "tokens": [3224, 24192, 2423, 39184, 18609, 6156, 3224, 1829, 18609, 2423, 39184, 710, 2423, 8236, 2158, 5296, 11296, 5551, 9381, 17082, 2288, 9154, 34051, 7251, 3794, 995, 45865, 2423, 14407, 24401, 37037, 1829, 9122, 2304, 7649, 18609, 34051, 8236, 2158, 5296, 18609, 2423, 710, 5551, 9381, 17082, 2288, 9154, 34051, 7251, 3794, 995, 45865, 8236, 2423, 710, 2423, 710, 34105, 13672, 1829, 31439, 8717, 9381, 8978, 2031, 3175, 710, 6156, 3555, 9566, 1211, 3615, 8717, 9381, 8978, 8236, 8978, 8236, 2031, 3175, 710, 4724, 9566, 1211, 3615, 23758, 4724, 3794, 995, 45865, 8236, 2031, 3175, 710], "avg_logprob": -0.21712240219737092, "compression_ratio": 2.0168539325842696, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1654.46, "end": 1654.86, "word": "هذه", "probability": 0.4949951171875}, {"start": 1654.86, "end": 1655.0, "word": " الـ", "probability": 0.4671630859375}, {"start": 1655.0, "end": 1655.18, "word": " sine", "probability": 0.305908203125}, {"start": 1655.18, "end": 1656.72, "word": " فهي", "probability": 0.5377604166666666}, {"start": 1656.72, "end": 1657.48, "word": " sine", "probability": 0.375}, {"start": 1657.48, "end": 1657.92, "word": " الـ", "probability": 0.53515625}, {"start": 1657.92, "end": 1658.08, "word": " z", "probability": 0.68505859375}, {"start": 1658.08, "end": 1658.28, "word": " ال", "probability": 0.59423828125}, {"start": 1658.28, "end": 1658.64, "word": " absolute", "probability": 0.57763671875}, {"start": 1658.64, "end": 1659.12, "word": " value", "probability": 0.9873046875}, {"start": 1659.12, "end": 1659.36, "word": " لها", "probability": 0.59521484375}, {"start": 1659.36, "end": 1659.76, "word": " أصغر", "probability": 0.9732666015625}, {"start": 1659.76, "end": 1659.88, "word": " من", "probability": 0.97265625}, {"start": 1659.88, "end": 1660.0, "word": " أو", "probability": 0.87255859375}, {"start": 1660.0, "end": 1660.32, "word": " يساوي", "probability": 0.79931640625}, {"start": 1660.32, "end": 1660.8, "word": " الواحد", "probability": 0.9246419270833334}, {"start": 1660.8, "end": 1661.86, "word": " وهي", "probability": 0.81103515625}, {"start": 1661.86, "end": 1662.3, "word": " كمان", "probability": 0.9269205729166666}, {"start": 1662.3, "end": 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absolute", "probability": 0.927734375}, {"start": 1669.42, "end": 1670.3, "word": " ال", "probability": 0.90234375}, {"start": 1670.3, "end": 1670.62, "word": " z", "probability": 0.947265625}, {"start": 1670.62, "end": 1671.54, "word": " ال", "probability": 0.92236328125}, {"start": 1671.54, "end": 1671.7, "word": " z", "probability": 0.93994140625}, {"start": 1671.7, "end": 1671.96, "word": " هنا", "probability": 0.9716796875}, {"start": 1671.96, "end": 1672.12, "word": " اللي", "probability": 0.96484375}, {"start": 1672.12, "end": 1672.3, "word": " هو", "probability": 0.712890625}, {"start": 1672.3, "end": 1672.74, "word": " نص", "probability": 0.98779296875}, {"start": 1672.74, "end": 1672.94, "word": " في", "probability": 0.8310546875}, {"start": 1672.94, "end": 1673.36, "word": " x", "probability": 0.73095703125}, {"start": 1673.36, "end": 1673.74, "word": " minus", "probability": 0.80224609375}, {"start": 1673.74, "end": 1674.06, "word": " z", "probability": 0.9609375}, {"start": 1674.06, "end": 1675.04, "word": " فبطلع", "probability": 0.94287109375}, {"start": 1675.04, "end": 1675.52, "word": " نص", "probability": 0.990234375}, {"start": 1675.52, "end": 1675.74, "word": " في", "probability": 0.96630859375}, {"start": 1675.74, "end": 1676.56, "word": " absolute", "probability": 0.9697265625}, {"start": 1676.56, "end": 1678.66, "word": " في", "probability": 0.55908203125}, {"start": 1678.66, "end": 1679.2, "word": " absolute", "probability": 0.962890625}, {"start": 1679.2, "end": 1679.76, "word": " x", "probability": 0.974609375}, {"start": 1679.76, "end": 1680.24, "word": " minus", "probability": 0.990234375}, {"start": 1680.24, "end": 1680.62, "word": " z", "probability": 0.93994140625}, {"start": 1680.62, "end": 1681.18, "word": " بطلع", "probability": 0.86737060546875}, {"start": 1681.18, "end": 1681.44, "word": " هذا", "probability": 0.9013671875}, {"start": 1681.44, "end": 1681.84, "word": " بساوي", "probability": 0.83740234375}, {"start": 1681.84, "end": 1682.26, "word": " absolute", "probability": 0.95703125}, {"start": 1682.26, "end": 1682.78, "word": " x", "probability": 0.986328125}, {"start": 1682.78, "end": 1683.14, "word": " minus", "probability": 0.99462890625}, {"start": 1683.14, "end": 1683.46, "word": " z", "probability": 0.9794921875}], "temperature": 1.0}, {"id": 64, "seek": 171387, "start": 1684.63, "end": 1713.87, "text": "و باقي البرهان زي ما عملنا هنا okay تمام لأي epsilon أكبر من السفر choose delta بساوي epsilon ف this delta will work تمام إذا باقي البرهان كما عملنا في حالة ال sine إذا هذا المثال الرابع شوفنا فيه كيف نثبت إن ال cosine function is continuous تمام واضح", "tokens": [2407, 4724, 995, 38436, 2423, 26890, 3224, 7649, 30767, 1829, 19446, 6225, 42213, 8315, 34105, 1392, 46811, 10943, 5296, 10721, 1829, 17889, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 2826, 8289, 4724, 3794, 995, 45865, 17889, 6156, 341, 8289, 486, 589, 46811, 10943, 11933, 15730, 4724, 995, 38436, 2423, 26890, 3224, 7649, 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"word": " okay", "probability": 0.2235107421875}, {"start": 1687.47, "end": 1688.03, "word": " تمام", "probability": 0.845458984375}, {"start": 1688.03, "end": 1688.85, "word": " لأي", "probability": 0.8312174479166666}, {"start": 1688.85, "end": 1689.21, "word": " epsilon", "probability": 0.480712890625}, {"start": 1689.21, "end": 1689.57, "word": " أكبر", "probability": 0.9347330729166666}, {"start": 1689.57, "end": 1689.73, "word": " من", "probability": 0.9951171875}, {"start": 1689.73, "end": 1690.11, "word": " السفر", "probability": 0.7456868489583334}, {"start": 1690.11, "end": 1690.51, "word": " choose", "probability": 0.391357421875}, {"start": 1690.51, "end": 1690.97, "word": " delta", "probability": 0.471923828125}, {"start": 1690.97, "end": 1691.63, "word": " بساوي", "probability": 0.8642578125}, {"start": 1691.63, "end": 1692.11, "word": " epsilon", "probability": 0.87548828125}, {"start": 1692.11, "end": 1693.53, "word": " ف", "probability": 0.919921875}, {"start": 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{"start": 1701.33, "end": 1702.07, "word": " ال", "probability": 0.346923828125}, {"start": 1702.07, "end": 1702.37, "word": " sine", "probability": 0.424072265625}, {"start": 1702.37, "end": 1702.69, "word": " إذا", "probability": 0.895751953125}, {"start": 1702.69, "end": 1703.09, "word": " هذا", "probability": 0.798828125}, {"start": 1703.09, "end": 1704.45, "word": " المثال", "probability": 0.95703125}, {"start": 1704.45, "end": 1705.25, "word": " الرابع", "probability": 0.9871419270833334}, {"start": 1705.25, "end": 1707.89, "word": " شوفنا", "probability": 0.71240234375}, {"start": 1707.89, "end": 1708.15, "word": " فيه", "probability": 0.97119140625}, {"start": 1708.15, "end": 1708.39, "word": " كيف", "probability": 0.97265625}, {"start": 1708.39, "end": 1708.89, "word": " نثبت", "probability": 0.9945068359375}, {"start": 1708.89, "end": 1709.07, "word": " إن", "probability": 0.343017578125}, {"start": 1709.07, "end": 1709.21, "word": " ال", "probability": 0.92578125}, {"start": 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{"start": 1731.3, "end": 1731.76, "word": " هي", "probability": 0.89111328125}, {"start": 1731.76, "end": 1733.66, "word": " بساوي", "probability": 0.672119140625}, {"start": 1733.66, "end": 1734.2, "word": " sin", "probability": 0.469970703125}, {"start": 1734.2, "end": 1734.66, "word": " x", "probability": 0.72021484375}, {"start": 1734.66, "end": 1734.96, "word": " على", "probability": 0.323974609375}, {"start": 1734.96, "end": 1735.36, "word": " cos", "probability": 0.6552734375}, {"start": 1735.36, "end": 1736.52, "word": " x", "probability": 0.904296875}, {"start": 1736.52, "end": 1738.04, "word": " is", "probability": 0.83203125}, {"start": 1738.04, "end": 1738.8, "word": " continuous", "probability": 0.9208984375}], "temperature": 1.0}, {"id": 66, "seek": 176797, "start": 1741.89, "end": 1767.97, "text": "الصين مستمر على الار والكوسين مستمر على الار هذه راشيونال فانتشار فانتشار راشيونال فانتشار مستمر على الار ما عدا عند أسفار المخام ما هي أسفار الكوسين المضاعفات الفردية لا πاية اتنين مستمر على الار ما عدا", "tokens": [6027, 9381, 9957, 3714, 14851, 29973, 15844, 2423, 9640, 16070, 4117, 41779, 9957, 3714, 14851, 29973, 15844, 2423, 9640, 29538, 12602, 33599, 1829, 11536, 6027, 6156, 7649, 2655, 8592, 9640, 6156, 7649, 2655, 8592, 9640, 12602, 33599, 1829, 11536, 6027, 6156, 7649, 2655, 8592, 9640, 3714, 14851, 29973, 15844, 2423, 9640, 19446, 6225, 28259, 43242, 5551, 3794, 5172, 9640, 9673, 9778, 10943, 19446, 39896, 5551, 3794, 5172, 9640, 33251, 41779, 9957, 9673, 11242, 45761, 5172, 9307, 27188, 2288, 3215, 10632, 20193, 4654, 995, 10632, 1975, 2655, 1863, 9957, 3714, 14851, 29973, 15844, 2423, 9640, 19446, 6225, 28259], "avg_logprob": -0.37723213768735225, "compression_ratio": 2.48993288590604, "no_speech_prob": 0.0, "words": [{"start": 1741.8899999999999, "end": 1742.85, "word": "الصين", "probability": 0.4972330729166667}, {"start": 1742.85, "end": 1743.29, "word": " مستمر", "probability": 0.6785888671875}, {"start": 1743.29, "end": 1743.69, "word": " 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"end": 1759.91, "word": " المضاعفات", "probability": 0.9453125}, {"start": 1759.91, "end": 1760.51, "word": " الفردية", "probability": 0.97265625}, {"start": 1760.51, "end": 1760.71, "word": " لا", "probability": 0.09356689453125}, {"start": 1760.71, "end": 1760.93, "word": " πاية", "probability": 0.5713704427083334}, {"start": 1760.93, "end": 1761.71, "word": " اتنين", "probability": 0.82159423828125}, {"start": 1761.71, "end": 1764.25, "word": " مستمر", "probability": 0.83544921875}, {"start": 1764.25, "end": 1765.17, "word": " على", "probability": 0.7978515625}, {"start": 1765.17, "end": 1767.09, "word": " الار", "probability": 0.91650390625}, {"start": 1767.09, "end": 1767.49, "word": " ما", "probability": 0.81396484375}, {"start": 1767.49, "end": 1767.97, "word": " عدا", "probability": 0.978515625}], "temperature": 1.0}, {"id": 67, "seek": 179188, "start": 1771.58, "end": 1791.88, "text": "تنين n زياد واحد في πاي على اتنين حيث ان عدد صحيح صح؟ هيك بقطين المضاعفات الفردية لπاي على اتنين", "tokens": [2655, 1863, 9957, 297, 30767, 1829, 18513, 36764, 24401, 8978, 4654, 47302, 15844, 1975, 2655, 1863, 9957, 11331, 1829, 12984, 16472, 6225, 3215, 3215, 20328, 5016, 1829, 5016, 20328, 5016, 22807, 39896, 4117, 4724, 4587, 9566, 9957, 9673, 11242, 45761, 5172, 9307, 27188, 2288, 3215, 10632, 5296, 4339, 47302, 15844, 1975, 2655, 1863, 9957], "avg_logprob": -0.3661931894042275, "compression_ratio": 1.5087719298245614, "no_speech_prob": 0.0, "words": [{"start": 1771.58, "end": 1772.96, "word": "تنين", "probability": 0.4506022135416667}, {"start": 1772.96, "end": 1773.36, "word": " n", "probability": 0.32861328125}, {"start": 1773.36, "end": 1774.06, "word": " زياد", "probability": 0.6178385416666666}, {"start": 1774.06, "end": 1774.7, "word": " واحد", "probability": 0.918701171875}, {"start": 1774.7, "end": 1775.04, "word": " في", "probability": 0.96630859375}, {"start": 1775.04, "end": 1775.72, "word": " πاي", "probability": 0.389404296875}, {"start": 1775.72, "end": 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{"start": 1794.5, "end": 1795.4, "word": " كذلك", "probability": 0.8748372395833334}, {"start": 1795.4, "end": 1796.02, "word": " cot", "probability": 0.802734375}, {"start": 1796.02, "end": 1797.94, "word": " x", "probability": 0.3388671875}, {"start": 1797.94, "end": 1798.72, "word": " بيساوي", "probability": 0.612359619140625}, {"start": 1798.72, "end": 1799.2, "word": " cosine", "probability": 0.53369140625}, {"start": 1799.2, "end": 1800.08, "word": " x", "probability": 0.8828125}, {"start": 1800.08, "end": 1801.12, "word": " على", "probability": 0.5771484375}, {"start": 1801.12, "end": 1801.68, "word": " sin", "probability": 0.55224609375}, {"start": 1801.68, "end": 1802.18, "word": " x", "probability": 0.96728515625}, {"start": 1802.18, "end": 1802.84, "word": " is", "probability": 0.82568359375}, {"start": 1802.84, "end": 1803.76, "word": " continuous", "probability": 0.8955078125}, {"start": 1803.76, "end": 1804.74, "word": " على", "probability": 0.84326171875}, {"start": 1804.74, "end": 1805.32, "word": " r", "probability": 0.3896484375}, {"start": 1805.32, "end": 1806.2, "word": " مادة", "probability": 0.6984049479166666}, {"start": 1806.2, "end": 1806.96, "word": " أسفار", "probability": 0.9609375}, {"start": 1806.96, "end": 1807.58, "word": " المقام", "probability": 0.9365234375}, {"start": 1807.58, "end": 1808.42, "word": " اللي", "probability": 0.77783203125}, {"start": 1808.42, "end": 1808.62, "word": " هي", "probability": 0.91162109375}, {"start": 1808.62, "end": 1809.52, "word": " مضاعفات", "probability": 0.94052734375}, {"start": 1809.52, "end": 1809.98, "word": " الـ", "probability": 0.63427734375}, {"start": 1809.98, "end": 1810.02, "word": " pi", "probability": 0.281982421875}, {"start": 1810.02, "end": 1811.6, "word": " مضاعفات", "probability": 0.832470703125}, {"start": 1811.6, "end": 1812.0, "word": " الـ", "probability": 0.84033203125}, {"start": 1812.0, "end": 1814.26, "word": " pi", "probability": 0.8486328125}, {"start": 1814.26, 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tangent على R بعد المضاعفات الفردية ل πاية اتنين okay تمام طيب ناخد", "tokens": [6027, 39184, 26529, 656, 317, 4032, 2423, 907, 394, 2031, 13672, 1829, 39896, 36764, 24401, 15844, 3792, 4724, 43042, 3224, 3714, 2655, 36520, 3660, 30767, 1829, 11296, 30767, 1829, 2423, 27747, 15844, 497, 39182, 9673, 11242, 45761, 5172, 9307, 27188, 2288, 3215, 10632, 5296, 4654, 995, 10632, 1975, 2655, 1863, 9957, 1392, 46811, 10943, 23032, 1829, 3555, 8717, 47283, 3215], "avg_logprob": -0.28739755270911044, "compression_ratio": 1.391025641025641, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1849.09, "end": 1849.47, "word": "الـ", "probability": 0.5279541015625}, {"start": 1849.47, "end": 1850.25, "word": " cotangent", "probability": 0.8377278645833334}, {"start": 1850.25, "end": 1851.55, "word": " و", "probability": 0.457763671875}, {"start": 1851.55, "end": 1851.91, "word": " ال", "probability": 0.5361328125}, {"start": 1851.91, "end": 1852.57, "word": " secant", "probability": 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"word": " on", "probability": 0.96240234375}, {"start": 1953.15, "end": 1954.37, "word": " a", "probability": 0.96728515625}, {"start": 1954.37, "end": 1961.19, "word": " proof", "probability": 0.94482421875}, {"start": 1961.19, "end": 1964.23, "word": " we", "probability": 0.9384765625}, {"start": 1964.23, "end": 1964.85, "word": " use", "probability": 0.8896484375}], "temperature": 1.0}, {"id": 74, "seek": 198990, "start": 1967.24, "end": 1989.9, "text": "we use exercise exercise رقم تلتاش في section أربعة اتنين نرجع لل exercise هذا و نكتبه", "tokens": [826, 764, 5380, 5380, 12602, 4587, 2304, 6055, 1211, 2655, 33599, 8978, 3541, 5551, 25513, 27884, 1975, 2655, 1863, 9957, 8717, 47341, 3615, 24976, 5380, 23758, 4032, 8717, 4117, 2655, 3555, 3224], "avg_logprob": -0.1181936553030303, "compression_ratio": 1.1523809523809523, "no_speech_prob": 0.0, "words": [{"start": 1967.24, "end": 1967.56, "word": "we", "probability": 0.67431640625}, {"start": 1967.56, "end": 1968.26, "word": " use", 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"word": " هذا", "probability": 0.8740234375}, {"start": 1989.06, "end": 1989.22, "word": " و", "probability": 0.99365234375}, {"start": 1989.22, "end": 1989.9, "word": " نكتبه", "probability": 0.95341796875}], "temperature": 1.0}, {"id": 75, "seek": 202147, "start": 1996.29, "end": 2021.47, "text": "الـ exercise هذا بيقول if ال limit ل ال function f of x لما x تقول إلى c exists", "tokens": [6027, 39184, 5380, 23758, 4724, 1829, 39648, 498, 2423, 4948, 5296, 2423, 2445, 283, 295, 2031, 5296, 15042, 2031, 6055, 39648, 30731, 269, 8198], "avg_logprob": -0.21609375, "compression_ratio": 1.09375, "no_speech_prob": 0.0, "words": [{"start": 1996.29, "end": 1996.93, "word": "الـ", "probability": 0.7412109375}, {"start": 1996.93, "end": 1997.41, "word": " exercise", "probability": 0.62353515625}, {"start": 1997.41, "end": 1997.97, "word": " هذا", "probability": 0.84814453125}, {"start": 1997.97, "end": 1998.61, "word": " بيقول", "probability": 0.966796875}, {"start": 1998.61, "end": 2009.47, 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"probability": 0.98193359375}, {"start": 2106.17, "end": 2106.81, "word": " exercise", "probability": 0.859375}, {"start": 2106.81, "end": 2107.39, "word": " ممكن", "probability": 0.98046875}, {"start": 2107.39, "end": 2108.81, "word": " نبره", "probability": 0.9361979166666666}, {"start": 2108.81, "end": 2109.01, "word": " هنا", "probability": 0.92822265625}, {"start": 2109.01, "end": 2109.61, "word": " النظرية", "probability": 0.8828125}, {"start": 2109.61, "end": 2110.97, "word": " السابقة", "probability": 0.9860026041666666}, {"start": 2110.97, "end": 2118.29, "word": " إذا", "probability": 0.466552734375}, {"start": 2118.29, "end": 2118.69, "word": " هنا", "probability": 0.95849609375}], "temperature": 1.0}, {"id": 79, "seek": 215171, "start": 2123.87, "end": 2151.71, "text": "لبرهان الجزء الأول to show if is .. to show absolute if is continuous at c تنتمي ل a", "tokens": [1211, 26890, 3224, 7649, 25724, 11622, 38207, 16247, 12610, 281, 855, 498, 307, 4386, 281, 855, 8236, 498, 307, 10957, 412, 269, 6055, 29399, 2304, 1829, 5296, 257], "avg_logprob": -0.2403017282485962, "compression_ratio": 1.1041666666666667, "no_speech_prob": 0.0, "words": [{"start": 2123.87, "end": 2124.75, "word": "لبرهان", "probability": 0.755279541015625}, {"start": 2124.75, "end": 2125.11, "word": " الجزء", "probability": 0.9547526041666666}, {"start": 2125.11, "end": 2125.65, "word": " الأول", "probability": 0.90576171875}, {"start": 2125.65, "end": 2130.21, "word": " to", "probability": 0.7021484375}, {"start": 2130.21, "end": 2131.09, "word": " show", "probability": 0.96875}, {"start": 2131.09, "end": 2136.41, "word": " if", "probability": 0.56640625}, {"start": 2136.41, "end": 2138.09, "word": " is", "probability": 0.78662109375}, {"start": 2138.09, "end": 2138.65, "word": " ..", "probability": 0.372314453125}, {"start": 2138.65, "end": 2139.81, "word": " to", "probability": 0.62060546875}, {"start": 2139.81, "end": 2140.57, "word": " show", "probability": 0.97265625}, {"start": 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1975, 2655, 9381, 6027, 1975, 2655, 9381, 6027, 1975, 2655, 9381, 6027, 1975, 2655, 9381, 6027, 1975, 2655, 9381, 6027, 1975, 2655, 9381, 6027, 1975, 2655, 9381, 6027], "avg_logprob": -0.5302083121405707, "compression_ratio": 3.3513513513513513, "no_speech_prob": 0.0, "words": [{"start": 2163.81, "end": 2165.21, "word": "لدينا", "probability": 0.64093017578125}, {"start": 2165.21, "end": 2166.05, "word": " اتصالين", "probability": 0.5955078125}, {"start": 2166.05, "end": 2169.35, "word": " اتصال", "probability": 0.65643310546875}, {"start": 2169.35, "end": 2169.73, "word": " اتصال", "probability": 0.657806396484375}, {"start": 2169.73, "end": 2170.75, "word": " اتصال", "probability": 0.78839111328125}, {"start": 2170.75, "end": 2171.03, "word": " اتصال", "probability": 0.799041748046875}, {"start": 2171.03, "end": 2171.79, "word": " اتصال", "probability": 0.793365478515625}, {"start": 2171.79, "end": 2173.59, "word": " اتصال", "probability": 0.790496826171875}, {"start": 2173.59, "end": 2173.59, "word": " اتصال", "probability": 0.791473388671875}, {"start": 2173.59, "end": 2173.71, "word": " اتصال", "probability": 0.795440673828125}, {"start": 2173.71, "end": 2176.65, "word": " اتصال", "probability": 0.801422119140625}], "temperature": 1.0}, {"id": 81, "seek": 220956, "start": 2183.2, "end": 2209.56, "text": "فشوفنا ان لو كانت الـ C ماهياش cluster point فالاتصال عندها بيطلع متحقق اوتوماتيكي شوفنا في التعريف then the continuity of absolute if at C is automatic اوتوماتيكي", "tokens": [5172, 8592, 38688, 8315, 16472, 45164, 25961, 2655, 2423, 39184, 383, 19446, 3224, 1829, 33599, 13630, 935, 6156, 6027, 9307, 9381, 6027, 43242, 11296, 4724, 1829, 9566, 1211, 3615, 44650, 5016, 4587, 4587, 1975, 35473, 20498, 9307, 1829, 4117, 1829, 13412, 38688, 8315, 8978, 16712, 3615, 16572, 5172, 550, 264, 23807, 295, 8236, 498, 412, 383, 307, 12509, 1975, 35473, 20498, 9307, 1829, 4117, 1829], "avg_logprob": -0.20371685538328055, "compression_ratio": 1.4294117647058824, 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"probability": 0.790966796875}, {"start": 2188.36, "end": 2188.94, "word": " متحقق", "probability": 0.95458984375}, {"start": 2188.94, "end": 2189.72, "word": " اوتوماتيكي", "probability": 0.84716796875}, {"start": 2189.72, "end": 2191.64, "word": " شوفنا", "probability": 0.7376302083333334}, {"start": 2191.64, "end": 2191.78, "word": " في", "probability": 0.86865234375}, {"start": 2191.78, "end": 2192.42, "word": " التعريف", "probability": 0.99365234375}, {"start": 2192.42, "end": 2194.76, "word": " then", "probability": 0.387939453125}, {"start": 2194.76, "end": 2196.16, "word": " the", "probability": 0.83154296875}, {"start": 2196.16, "end": 2197.14, "word": " continuity", "probability": 0.8486328125}, {"start": 2197.14, "end": 2200.6, "word": " of", "probability": 0.9697265625}, {"start": 2200.6, "end": 2201.46, "word": " absolute", "probability": 0.908203125}, {"start": 2201.46, "end": 2202.02, "word": " if", "probability": 0.56640625}, {"start": 2202.02, "end": 2203.26, "word": " at", "probability": 0.72314453125}, {"start": 2203.26, "end": 2203.8, "word": " C", "probability": 0.712890625}, {"start": 2203.8, "end": 2204.46, "word": " is", "probability": 0.95751953125}, {"start": 2204.46, "end": 2207.7, "word": " automatic", "probability": 0.62060546875}, {"start": 2207.7, "end": 2209.56, "word": " اوتوماتيكي", "probability": 0.90185546875}], "temperature": 1.0}, {"id": 82, "seek": 223992, "start": 2210.79, "end": 2239.93, "text": "إذا احنا بنهتم بالحالة التانية انه C is a cluster point of A ففي الحالة هذه by exercise تلتاش of section اربعة اتنين", "tokens": [28814, 15730, 1975, 5016, 8315, 44945, 3224, 39237, 20666, 5016, 6027, 3660, 16712, 7649, 10632, 16472, 3224, 383, 307, 257, 13630, 935, 295, 316, 6156, 41185, 21542, 6027, 3660, 29538, 538, 5380, 6055, 1211, 2655, 33599, 295, 3541, 1975, 25513, 27884, 1975, 2655, 1863, 9957], "avg_logprob": -0.21484374676061713, "compression_ratio": 1.2835820895522387, "no_speech_prob": 0.0, "words": [{"start": 2210.79, 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2266.94, "text": "بما أنه limit ل f of x as x tends to c بيساوي c احنا فرضين ان f continuous by continuity of f at c", "tokens": [3555, 15042, 14739, 3224, 4948, 5296, 283, 295, 2031, 382, 2031, 12258, 281, 269, 4724, 1829, 3794, 995, 45865, 269, 1975, 5016, 8315, 6156, 43042, 9957, 16472, 283, 10957, 538, 23807, 295, 283, 412, 269], "avg_logprob": -0.3237847155994839, "compression_ratio": 1.0990990990990992, "no_speech_prob": 0.0, "words": [{"start": 2248.44, "end": 2249.44, "word": "بما", "probability": 0.6519775390625}, {"start": 2249.44, "end": 2250.44, "word": " أنه", "probability": 0.4493408203125}, {"start": 2250.44, "end": 2251.88, "word": " limit", "probability": 0.5166015625}, {"start": 2251.88, "end": 2253.82, "word": " ل", "probability": 0.460205078125}, {"start": 2253.82, "end": 2254.12, "word": " f", "probability": 0.2763671875}, {"start": 2254.12, "end": 2254.38, "word": " of", "probability": 0.358642578125}, {"start": 2254.38, "end": 2254.76, "word": " x", 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"word": " إذن", "probability": 0.72607421875}, {"start": 2370.08, "end": 2370.32, "word": " هذا", "probability": 0.8486328125}, {"start": 2370.32, "end": 2370.68, "word": " إيه", "probability": 0.7820638020833334}, {"start": 2370.68, "end": 2371.62, "word": " برهن", "probability": 0.76507568359375}, {"start": 2371.62, "end": 2372.3, "word": " النظرية", "probability": 0.9639892578125}, {"start": 2372.3, "end": 2372.7, "word": " إذن", "probability": 0.7804361979166666}, {"start": 2372.7, "end": 2373.44, "word": " التاني", "probability": 0.95263671875}, {"start": 2373.44, "end": 2374.68, "word": " نتيجة", "probability": 0.984375}, {"start": 2374.68, "end": 2375.12, "word": " على", "probability": 0.921875}, {"start": 2375.12, "end": 2376.04, "word": " الجزء", "probability": 0.98583984375}, {"start": 2376.04, "end": 2376.8, "word": " الأول", "probability": 0.98486328125}, {"start": 2376.8, "end": 2378.46, "word": " في", "probability": 0.8291015625}, {"start": 2378.46, "end": 2378.84, "word": " كمان", "probability": 0.95703125}, {"start": 2378.84, "end": 2379.34, "word": " نظرية", "probability": 0.991455078125}, {"start": 2379.34, "end": 2379.74, "word": " أخرى", "probability": 0.97802734375}, {"start": 2379.74, "end": 2380.4, "word": " مشابهة", "probability": 0.9447021484375}, {"start": 2380.4, "end": 2380.6, "word": " زي", "probability": 0.972900390625}, {"start": 2380.6, "end": 2380.9, "word": " هذه", "probability": 0.7197265625}], "temperature": 1.0}, {"id": 88, "seek": 241289, "start": 2383.79, "end": 2412.89, "text": "لكن بدل absolute f ففي عندى هنا let f be function from a to r such that f of x أكبر من أو يساوي سفر لكل x في a يعني هنا ال dialer قيمها غير سالبة فلو كانت f continuous at c فال square root ل f", "tokens": [1211, 19452, 47525, 1211, 8236, 283, 6156, 41185, 43242, 7578, 34105, 718, 283, 312, 2445, 490, 257, 281, 367, 1270, 300, 283, 295, 2031, 5551, 4117, 26890, 9154, 34051, 7251, 3794, 995, 45865, 8608, 5172, 2288, 5296, 28820, 2031, 8978, 257, 37495, 22653, 34105, 2423, 5502, 260, 12174, 32640, 11296, 32771, 13546, 8608, 6027, 49401, 6156, 1211, 2407, 25961, 2655, 283, 10957, 412, 269, 6156, 6027, 3732, 5593, 5296, 283], "avg_logprob": -0.2627640752725198, "compression_ratio": 1.3936170212765957, "no_speech_prob": 0.0, "words": [{"start": 2383.79, "end": 2384.55, "word": "لكن", "probability": 0.6290283203125}, {"start": 2384.55, "end": 2385.61, "word": " بدل", "probability": 0.9296875}, {"start": 2385.61, "end": 2386.11, "word": " absolute", "probability": 0.61474609375}, {"start": 2386.11, "end": 2386.81, "word": " f", "probability": 0.30126953125}, {"start": 2386.81, "end": 2388.79, "word": " ففي", "probability": 0.73583984375}, {"start": 2388.79, "end": 2389.13, "word": " عندى", "probability": 0.49169921875}, {"start": 2389.13, "end": 2389.41, "word": " هنا", "probability": 0.9228515625}, {"start": 2389.41, "end": 2389.77, "word": " let", "probability": 0.7333984375}, {"start": 2389.77, "end": 2390.09, "word": " f", "probability": 0.8603515625}, {"start": 2390.09, "end": 2390.31, "word": " be", "probability": 0.78125}, {"start": 2390.31, "end": 2390.77, "word": " function", "probability": 0.7666015625}, {"start": 2390.77, "end": 2391.23, "word": " from", "probability": 0.87744140625}, {"start": 2391.23, "end": 2391.83, "word": " a", "probability": 0.73388671875}, {"start": 2391.83, "end": 2392.01, "word": " to", "probability": 0.955078125}, {"start": 2392.01, "end": 2392.51, "word": " r", "probability": 0.7314453125}, {"start": 2392.51, "end": 2393.89, "word": " such", "probability": 0.91162109375}, {"start": 2393.89, "end": 2394.39, "word": " that", "probability": 0.9541015625}, {"start": 2394.39, "end": 2394.73, "word": " f", "probability": 0.9033203125}, {"start": 2394.73, "end": 2394.97, "word": " of", "probability": 0.6162109375}, {"start": 2394.97, "end": 2395.41, "word": " x", "probability": 0.92236328125}, {"start": 2395.41, "end": 2396.07, "word": " أكبر", "probability": 0.8912760416666666}, {"start": 2396.07, "end": 2396.29, "word": " من", "probability": 0.91552734375}, {"start": 2396.29, "end": 2396.53, "word": " أو", "probability": 0.80029296875}, {"start": 2396.53, "end": 2396.99, "word": " يساوي", "probability": 0.7525634765625}, {"start": 2396.99, "end": 2397.51, "word": " سفر", "probability": 0.8017578125}, {"start": 2397.51, "end": 2398.89, "word": " لكل", "probability": 0.977294921875}, {"start": 2398.89, "end": 2399.29, "word": " x", "probability": 0.91064453125}, {"start": 2399.29, "end": 2399.49, "word": " في", "probability": 0.76904296875}, {"start": 2399.49, "end": 2399.71, "word": " a", "probability": 0.94140625}, {"start": 2399.71, "end": 2399.95, "word": " يعني", "probability": 0.814697265625}, {"start": 2399.95, "end": 2400.13, "word": " هنا", "probability": 0.80126953125}, {"start": 2400.13, "end": 2400.33, "word": " ال", "probability": 0.56640625}, {"start": 2400.33, "end": 2400.61, "word": " dialer", "probability": 0.28277587890625}, {"start": 2400.61, "end": 2401.09, "word": " قيمها", "probability": 0.7669270833333334}, {"start": 2401.09, "end": 2401.37, "word": " غير", "probability": 0.98681640625}, {"start": 2401.37, "end": 2402.55, "word": " سالبة", "probability": 0.8133138020833334}, {"start": 2402.55, "end": 2405.17, "word": " فلو", "probability": 0.9669596354166666}, {"start": 2405.17, "end": 2407.55, "word": " كانت", "probability": 0.771240234375}, {"start": 2407.55, "end": 2407.73, "word": " f", "probability": 0.6923828125}, {"start": 2407.73, "end": 2408.35, "word": " continuous", "probability": 0.91748046875}, {"start": 2408.35, "end": 2408.81, "word": " at", "probability": 0.87060546875}, {"start": 2408.81, "end": 2409.29, "word": " c", "probability": 0.8798828125}, {"start": 2409.29, "end": 2411.15, "word": " فال", "probability": 0.90185546875}, {"start": 2411.15, "end": 2411.53, "word": " square", "probability": 0.82470703125}, {"start": 2411.53, "end": 2412.21, "word": " root", "probability": 0.94384765625}, {"start": 2412.21, "end": 2412.53, "word": " ل", "probability": 0.94189453125}, {"start": 2412.53, "end": 2412.89, "word": " f", "probability": 0.4775390625}], "temperature": 1.0}, {"id": 89, "seek": 243758, "start": 2414.1, "end": 2437.58, "text": "بطلع continuous at C كذلك لو كانت F continuous on A ف ال square root ل F is continuous على كل ال A و المرة هذه البرهان بستخدم exercise ثاني في section 42 اللي هو exercise 14", "tokens": [3555, 9566, 1211, 3615, 10957, 412, 383, 9122, 8848, 23275, 45164, 25961, 2655, 479, 10957, 322, 316, 6156, 2423, 3732, 5593, 5296, 479, 307, 10957, 15844, 28242, 2423, 316, 4032, 9673, 25720, 29538, 2423, 26890, 3224, 7649, 4724, 14851, 9778, 40448, 5380, 38637, 7649, 1829, 8978, 3541, 14034, 13672, 1829, 31439, 5380, 3499], "avg_logprob": -0.18084490713145998, "compression_ratio": 1.380952380952381, "no_speech_prob": 0.0, "words": [{"start": 2414.1, "end": 2414.66, "word": "بطلع", "probability": 0.88037109375}, {"start": 2414.66, "end": 2415.2, "word": " continuous", "probability": 0.85546875}, {"start": 2415.2, "end": 2415.7, "word": " at", "probability": 0.8857421875}, {"start": 2415.7, "end": 2416.06, "word": " C", "probability": 0.5263671875}, {"start": 2416.06, "end": 2417.5, "word": " كذلك", "probability": 0.9599609375}, {"start": 2417.5, "end": 2417.7, "word": " لو", "probability": 0.93701171875}, {"start": 2417.7, "end": 2418.16, "word": " كانت", "probability": 0.943603515625}, {"start": 2418.16, "end": 2418.38, "word": " F", "probability": 0.78515625}, {"start": 2418.38, "end": 2419.02, "word": " continuous", "probability": 0.921875}, {"start": 2419.02, "end": 2419.54, "word": " on", "probability": 0.91552734375}, {"start": 2419.54, "end": 2419.96, "word": " A", "probability": 0.97021484375}, {"start": 2419.96, "end": 2421.58, "word": " ف", "probability": 0.95947265625}, {"start": 2421.58, "end": 2421.86, "word": " ال", "probability": 0.446044921875}, {"start": 2421.86, "end": 2422.26, "word": " square", "probability": 0.78955078125}, {"start": 2422.26, "end": 2422.72, "word": " root", "probability": 0.92529296875}, {"start": 2422.72, "end": 2422.88, "word": " ل", "probability": 0.89453125}, {"start": 2422.88, "end": 2423.16, "word": " F", "probability": 0.81689453125}, {"start": 2423.16, "end": 2423.48, "word": " is", "probability": 0.86767578125}, {"start": 2423.48, "end": 2424.76, "word": " continuous", "probability": 0.92333984375}, {"start": 2424.76, "end": 2425.22, "word": " على", "probability": 0.88232421875}, {"start": 2425.22, "end": 2425.74, "word": " كل", "probability": 0.931640625}, {"start": 2425.74, "end": 2426.5, "word": " ال", "probability": 0.5810546875}, {"start": 2426.5, "end": 2426.8, "word": " A", "probability": 0.95068359375}, {"start": 2426.8, "end": 2429.76, "word": " و", "probability": 0.470703125}, {"start": 2429.76, "end": 2430.12, "word": " المرة", "probability": 0.935302734375}, {"start": 2430.12, "end": 2430.44, "word": " هذه", "probability": 0.8154296875}, {"start": 2430.44, "end": 2431.1, "word": " البرهان", "probability": 0.8529052734375}, {"start": 2431.1, "end": 2431.88, "word": " بستخدم", "probability": 0.9593505859375}, {"start": 2431.88, "end": 2433.3, "word": " exercise", "probability": 0.88623046875}, {"start": 2433.3, "end": 2434.06, "word": " ثاني", "probability": 0.8889973958333334}, {"start": 2434.06, "end": 2434.2, "word": " في", "probability": 0.8642578125}, {"start": 2434.2, "end": 2434.5, "word": " section", "probability": 0.7587890625}, {"start": 2434.5, "end": 2435.06, "word": " 42", "probability": 0.191162109375}, {"start": 2435.06, "end": 2435.4, "word": " اللي", "probability": 0.796875}, {"start": 2435.4, "end": 2435.62, "word": " هو", "probability": 0.9873046875}, {"start": 2435.62, "end": 2436.84, "word": " exercise", "probability": 0.90185546875}, {"start": 2436.84, "end": 2437.58, "word": " 14", "probability": 0.93310546875}], "temperature": 1.0}, {"id": 90, "seek": 246411, "start": 2438.67, "end": 2464.11, "text": "الـ exercise هذا بيقول إذا كانت ال limit للدالة هذه، يعني C موجودة، then ال limit للـ square .. لل function اللي هي square root of F عند الـ C موجودة وبتساوي ال square root وبتساوي جذر التربيع أيه؟ ال limit لل square root", "tokens": [6027, 39184, 5380, 23758, 4724, 1829, 39648, 11933, 15730, 25961, 2655, 2423, 4948, 24976, 3215, 6027, 3660, 29538, 12399, 37495, 22653, 383, 3714, 29245, 23328, 3660, 12399, 550, 2423, 4948, 24976, 39184, 3732, 4386, 24976, 2445, 13672, 1829, 39896, 3732, 5593, 295, 479, 43242, 2423, 39184, 383, 3714, 29245, 23328, 3660, 46599, 2655, 3794, 995, 45865, 2423, 3732, 5593, 46599, 2655, 3794, 995, 45865, 10874, 8848, 2288, 16712, 2288, 21292, 3615, 36632, 3224, 22807, 2423, 4948, 24976, 3732, 5593], "avg_logprob": -0.2962890651077032, "compression_ratio": 1.6806282722513088, "no_speech_prob": 0.0, "words": [{"start": 2438.67, "end": 2438.93, "word": "الـ", "probability": 0.5711669921875}, {"start": 2438.93, "end": 2439.33, "word": " exercise", "probability": 0.3984375}, {"start": 2439.33, "end": 2439.63, "word": " هذا", "probability": 0.55078125}, {"start": 2439.63, "end": 2439.91, "word": " بيقول", "probability": 0.8719075520833334}, {"start": 2439.91, "end": 2440.09, "word": " إذا", "probability": 0.770263671875}, {"start": 2440.09, "end": 2440.47, "word": " كانت", "probability": 0.974365234375}, {"start": 2440.47, "end": 2440.59, "word": " ال", "probability": 0.8017578125}, {"start": 2440.59, "end": 2440.81, "word": " limit", "probability": 0.67138671875}, {"start": 2440.81, "end": 2441.47, "word": " للدالة", "probability": 0.8846435546875}, {"start": 2441.47, "end": 2441.85, "word": " هذه،", "probability": 0.4771728515625}, {"start": 2441.85, "end": 2442.03, "word": " يعني", "probability": 0.814697265625}, {"start": 2442.03, "end": 2442.35, "word": " C", "probability": 0.2978515625}, {"start": 2442.35, "end": 2443.75, "word": " موجودة،", "probability": 0.873583984375}, {"start": 2443.75, "end": 2444.25, "word": " then", "probability": 0.8017578125}, {"start": 2444.25, "end": 2444.51, "word": " ال", "probability": 0.7294921875}, {"start": 2444.51, "end": 2444.89, "word": " limit", "probability": 0.92822265625}, {"start": 2444.89, "end": 2447.05, "word": " للـ", "probability": 0.42022705078125}, {"start": 2447.05, "end": 2447.45, "word": " square", "probability": 0.427490234375}, {"start": 2447.45, "end": 2447.63, "word": " ..", "probability": 0.4599609375}, {"start": 2447.63, "end": 2447.77, "word": " لل", "probability": 0.9599609375}, {"start": 2447.77, "end": 2448.21, "word": " function", "probability": 0.79736328125}, {"start": 2448.21, "end": 2448.53, "word": " اللي", "probability": 0.893798828125}, {"start": 2448.53, "end": 2448.69, "word": " هي", "probability": 0.9404296875}, {"start": 2448.69, "end": 2449.03, "word": " square", "probability": 0.8095703125}, {"start": 2449.03, "end": 2449.41, "word": " root", "probability": 0.9169921875}, {"start": 2449.41, "end": 2449.59, "word": " of", "probability": 0.98779296875}, {"start": 2449.59, "end": 2450.01, "word": " F", "probability": 0.8935546875}, {"start": 2450.01, "end": 2451.91, "word": " عند", "probability": 0.409423828125}, {"start": 2451.91, "end": 2452.55, "word": " الـ", "probability": 0.715087890625}, {"start": 2452.55, "end": 2452.81, "word": " C", "probability": 0.75927734375}, {"start": 2452.81, "end": 2454.09, "word": " موجودة", "probability": 0.9896240234375}, {"start": 2454.09, "end": 2455.13, "word": " وبتساوي", "probability": 0.82607421875}, {"start": 2455.13, "end": 2455.87, "word": " ال", "probability": 0.9248046875}, {"start": 2455.87, "end": 2456.33, "word": " square", "probability": 0.91796875}, {"start": 2456.33, "end": 2456.97, "word": " root", "probability": 0.9267578125}, {"start": 2456.97, "end": 2459.15, "word": " وبتساوي", "probability": 0.9017578125}, {"start": 2459.15, "end": 2459.63, "word": " جذر", "probability": 0.8321940104166666}, {"start": 2459.63, "end": 2460.33, "word": " التربيع", "probability": 0.781494140625}, {"start": 2460.33, "end": 2462.09, "word": " أيه؟", "probability": 0.6874186197916666}, {"start": 2462.09, "end": 2462.37, "word": " ال", "probability": 0.515625}, {"start": 2462.37, "end": 2462.91, "word": " limit", "probability": 0.97509765625}, {"start": 2462.91, "end": 2463.39, "word": " لل", "probability": 0.29833984375}, {"start": 2463.39, "end": 2463.71, "word": " square", "probability": 0.81689453125}, {"start": 2463.71, "end": 2464.11, "word": " root", "probability": 0.908203125}], "temperature": 1.0}, {"id": 91, "seek": 247575, "start": 2465.35, "end": 2475.75, "text": "يعني بمعنى اخر انا ممكن ابدل ال limit مع ال square root و البرهان زي برهان النظرية السابقة", "tokens": [40228, 22653, 4724, 2304, 3615, 1863, 7578, 1975, 34740, 1975, 8315, 3714, 43020, 48127, 3215, 1211, 2423, 4948, 20449, 2423, 3732, 5593, 4032, 29739, 2288, 3224, 7649, 30767, 1829, 4724, 2288, 3224, 7649, 28239, 19913, 2288, 10632, 21136, 16758, 28671], 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then xn أكبر من أو يساوي سفر لأ قيمة الدالة", "tokens": [65, 8310, 294, 257, 1270, 300, 4948, 2031, 77, 4724, 3794, 995, 45865, 269, 46811, 10943, 550, 2031, 77, 5551, 4117, 26890, 9154, 34051, 7251, 3794, 995, 45865, 8608, 5172, 2288, 5296, 10721, 12174, 32640, 3660, 32748, 6027, 3660], "avg_logprob": -0.22910156473517418, "compression_ratio": 1.1636363636363636, "no_speech_prob": 0.0, "words": [{"start": 2761.1, "end": 2761.54, "word": "b", "probability": 0.05194091796875}, {"start": 2761.54, "end": 2762.36, "word": " sequence", "probability": 0.71923828125}, {"start": 2762.36, "end": 2762.8, "word": " in", "probability": 0.9072265625}, {"start": 2762.8, "end": 2763.26, "word": " a", "probability": 0.71435546875}, {"start": 2763.26, "end": 2764.16, "word": " such", "probability": 0.884765625}, {"start": 2764.16, "end": 2764.64, "word": " that", "probability": 0.9462890625}, {"start": 2764.64, "end": 2765.16, "word": " limit", "probability": 0.9501953125}, {"start": 2765.16, "end": 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in تطلع موجب ايضا اكبر من أو ساوي سفر وبالتالي ال limit وفي عندي انا الآن ال sequence هذه by", "tokens": [5172, 6027, 39184, 4948, 6156, 6027, 39184, 441, 13672, 1829, 39896, 4948, 283, 295, 2031, 294, 6055, 9566, 1211, 3615, 3714, 29245, 3555, 1975, 1829, 11242, 995, 1975, 4117, 26890, 9154, 34051, 8608, 995, 45865, 8608, 5172, 2288, 46599, 6027, 2655, 6027, 1829, 2423, 4948, 4032, 41185, 18871, 16254, 1975, 8315, 6024, 48506, 2423, 8310, 29538, 538], "avg_logprob": -0.4146012931034483, "compression_ratio": 1.3673469387755102, "no_speech_prob": 0.0, "words": [{"start": 2884.05, "end": 2884.65, "word": "فالـ", "probability": 0.3517252604166667}, {"start": 2884.65, "end": 2884.99, "word": " limit", "probability": 0.72802734375}, {"start": 2884.99, "end": 2885.67, "word": " فالـ", "probability": 0.4598592122395833}, {"start": 2885.67, "end": 2885.95, "word": " L", "probability": 0.78369140625}, {"start": 2885.95, "end": 2886.17, "word": " اللي", "probability": 0.47528076171875}, 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contained", "probability": 0.58642578125}, {"start": 3017.87, "end": 3018.13, "word": " in", "probability": 0.93359375}, {"start": 3018.13, "end": 3018.39, "word": " A", "probability": 0.96435546875}, {"start": 3018.39, "end": 3019.29, "word": " ونهايتها", "probability": 0.86640625}, {"start": 3019.29, "end": 3019.65, "word": " C", "probability": 0.90234375}, {"start": 3019.65, "end": 3020.97, "word": " فطلع", "probability": 0.9718017578125}, {"start": 3020.97, "end": 3021.89, "word": " نهايت", "probability": 0.799072265625}, {"start": 3021.89, "end": 3025.33, "word": " نهايت", "probability": 0.7262369791666666}, {"start": 3025.33, "end": 3026.31, "word": " صورتها", "probability": 0.98291015625}, {"start": 3026.31, "end": 3026.93, "word": " صورة", "probability": 0.9324544270833334}, {"start": 3026.93, "end": 3027.09, "word": " ال", "probability": 0.95068359375}, {"start": 3027.09, "end": 3027.45, "word": " sequence", "probability": 0.8173828125}, {"start": 3027.45, "end": 3028.57, "word": " موجودة", "probability": 0.9827880859375}, {"start": 3028.57, "end": 3029.79, "word": " وبساوي", "probability": 0.642724609375}, {"start": 3029.79, "end": 3029.93, "word": " ال", "probability": 0.77392578125}, {"start": 3029.93, "end": 3030.25, "word": " square", "probability": 0.77099609375}, {"start": 3030.25, "end": 3030.69, "word": " root", "probability": 0.923828125}, {"start": 3030.69, "end": 3030.87, "word": " ل", "probability": 0.97705078125}, {"start": 3030.87, "end": 3031.17, "word": " L", "probability": 0.70947265625}, {"start": 3031.17, "end": 3032.13, "word": " موجودة", "probability": 0.981201171875}, {"start": 3032.13, "end": 3033.11, "word": " وبالتالي", "probability": 0.9212890625}, {"start": 3033.11, "end": 3033.61, "word": " therefore", "probability": 0.485595703125}, {"start": 3033.61, "end": 3034.15, "word": " by", "probability": 0.8984375}, {"start": 3034.15, "end": 3035.01, "word": " sequential", "probability": 0.95947265625}], "temperature": 1.0}, {"id": 112, "seek": 306382, "start": 3039.06, "end": 3063.82, "text": "criterion ال limit لل square root ل F of X لما X تقول إلى C بساوي exist و بساوي ال square root ل F and C أو اللي هو اللي بساوي .. لأ بساوي اللي هو", "tokens": [10757, 1681, 313, 2423, 4948, 24976, 3732, 5593, 5296, 479, 295, 1783, 5296, 15042, 1783, 6055, 39648, 30731, 383, 4724, 3794, 995, 45865, 2514, 4032, 4724, 3794, 995, 45865, 2423, 3732, 5593, 5296, 479, 293, 383, 34051, 13672, 1829, 31439, 13672, 1829, 4724, 3794, 995, 45865, 4386, 5296, 10721, 4724, 3794, 995, 45865, 13672, 1829, 31439], "avg_logprob": -0.2802905659926565, "compression_ratio": 1.5891472868217054, "no_speech_prob": 0.0, "words": [{"start": 3039.0599999999995, "end": 3039.8999999999996, "word": "criterion", "probability": 0.671966552734375}, {"start": 3039.8999999999996, "end": 3040.74, "word": " ال", "probability": 0.1719970703125}, {"start": 3040.74, "end": 3041.18, "word": " limit", "probability": 0.55322265625}, {"start": 3041.18, "end": 3043.1, 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0.843017578125}, {"start": 3050.18, "end": 3052.28, "word": " exist", "probability": 0.73291015625}, {"start": 3052.28, "end": 3053.76, "word": " و", "probability": 0.470458984375}, {"start": 3053.76, "end": 3054.26, "word": " بساوي", "probability": 0.8648681640625}, {"start": 3054.26, "end": 3054.4, "word": " ال", "probability": 0.64697265625}, {"start": 3054.4, "end": 3054.74, "word": " square", "probability": 0.90966796875}, {"start": 3054.74, "end": 3055.16, "word": " root", "probability": 0.92578125}, {"start": 3055.16, "end": 3055.36, "word": " ل", "probability": 0.9697265625}, {"start": 3055.36, "end": 3055.78, "word": " F", "probability": 0.95654296875}, {"start": 3055.78, "end": 3057.34, "word": " and", "probability": 0.92138671875}, {"start": 3057.34, "end": 3057.84, "word": " C", "probability": 0.96044921875}, {"start": 3057.84, "end": 3060.98, "word": " أو", "probability": 0.52587890625}, {"start": 3060.98, "end": 3061.16, "word": " اللي", "probability": 0.941162109375}, {"start": 3061.16, "end": 3061.42, "word": " هو", "probability": 0.986328125}, {"start": 3061.42, "end": 3061.82, "word": " اللي", "probability": 0.92578125}, {"start": 3061.82, "end": 3062.44, "word": " بساوي", "probability": 0.875732421875}, {"start": 3062.44, "end": 3062.56, "word": " ..", "probability": 0.2467041015625}, {"start": 3062.56, "end": 3062.82, "word": " لأ", "probability": 0.901611328125}, {"start": 3062.82, "end": 3063.36, "word": " بساوي", "probability": 0.9051513671875}, {"start": 3063.36, "end": 3063.5, "word": " اللي", "probability": 0.985595703125}, {"start": 3063.5, "end": 3063.82, "word": " هو", "probability": 0.99365234375}], "temperature": 1.0}, {"id": 113, "seek": 308310, "start": 3069.8, "end": 3083.1, "text": "السكوير روت ال L اللي هو برضه اللي هو نعم نعم", "tokens": [6027, 3794, 4117, 2407, 13546, 12602, 35473, 2423, 441, 13672, 1829, 31439, 4724, 43042, 3224, 13672, 1829, 31439, 8717, 25957, 8717, 25957], "avg_logprob": -0.36854618269464245, "compression_ratio": 1.196969696969697, "no_speech_prob": 0.0, "words": [{"start": 3069.8, "end": 3070.58, "word": "السكوير", "probability": 0.70166015625}, {"start": 3070.58, "end": 3070.88, "word": " روت", "probability": 0.904052734375}, {"start": 3070.88, "end": 3071.04, "word": " ال", "probability": 0.5908203125}, {"start": 3071.04, "end": 3071.28, "word": " L", "probability": 0.82421875}, {"start": 3071.28, "end": 3073.12, "word": " اللي", "probability": 0.787109375}, {"start": 3073.12, "end": 3073.34, "word": " هو", "probability": 0.9921875}, {"start": 3073.34, "end": 3074.02, "word": " برضه", "probability": 0.9733072916666666}, {"start": 3074.02, "end": 3076.54, "word": " اللي", "probability": 0.54205322265625}, {"start": 3076.54, "end": 3080.62, "word": " هو", "probability": 0.40234375}, {"start": 3080.62, "end": 3082.72, "word": " نعم", "probability": 0.7017822265625}, {"start": 3082.72, "end": 3083.1, "word": " نعم", "probability": 0.9794921875}], "temperature": 1.0}, {"id": 114, "seek": 311232, "start": 3091.48, "end": 3112.32, "text": "يعني هاد ممكن هاد يسميها L من الأول فإذا بطلع عندي ال square root function لها limit، limit عن سي موجودة بساوي square root ل L إذا هاد بكمل البرهن بالمثل ممكن نبرهن exercise اللي جابله 13", "tokens": [40228, 22653, 8032, 18513, 3714, 43020, 8032, 18513, 7251, 38251, 1829, 11296, 441, 9154, 16247, 12610, 6156, 28814, 15730, 4724, 9566, 1211, 3615, 18871, 16254, 2423, 3732, 5593, 2445, 5296, 11296, 4948, 12399, 4948, 18871, 8608, 1829, 3714, 29245, 23328, 3660, 4724, 3794, 995, 45865, 3732, 5593, 5296, 441, 11933, 15730, 8032, 18513, 4724, 24793, 1211, 2423, 26890, 3224, 1863, 20666, 2304, 12984, 1211, 3714, 43020, 8717, 26890, 3224, 1863, 5380, 13672, 1829, 10874, 16758, 43761, 3705], "avg_logprob": -0.251802873535034, "compression_ratio": 1.5157894736842106, "no_speech_prob": 0.0, "words": [{"start": 3091.48, "end": 3091.86, "word": "يعني", "probability": 0.699462890625}, {"start": 3091.86, "end": 3092.1, "word": " هاد", 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"probability": 0.8623046875}, {"start": 3098.42, "end": 3098.86, "word": " function", "probability": 0.8916015625}, {"start": 3098.86, "end": 3099.18, "word": " لها", "probability": 0.7283935546875}, {"start": 3099.18, "end": 3099.84, "word": " limit،", "probability": 0.575927734375}, {"start": 3099.84, "end": 3100.18, "word": " limit", "probability": 0.80078125}, {"start": 3100.18, "end": 3100.6, "word": " عن", "probability": 0.24365234375}, {"start": 3100.6, "end": 3100.94, "word": " سي", "probability": 0.790771484375}, {"start": 3100.94, "end": 3101.56, "word": " موجودة", "probability": 0.9630126953125}, {"start": 3101.56, "end": 3102.02, "word": " بساوي", "probability": 0.82568359375}, {"start": 3102.02, "end": 3102.7, "word": " square", "probability": 0.74560546875}, {"start": 3102.7, "end": 3102.96, "word": " root", "probability": 0.93994140625}, {"start": 3102.96, "end": 3103.12, "word": " ل", "probability": 0.93359375}, {"start": 3103.12, "end": 3103.32, "word": " L", 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"seek": 312807, "start": 3117.01, "end": 3128.07, "text": "فحاولوا يكونوا تبرهنوا exercise 13 بنفس الطريقة، في أي سؤال أو استفسار؟ okay إذا المرة الجاية بال campbell", "tokens": [5172, 5016, 995, 12610, 14407, 7251, 30544, 14407, 6055, 26890, 3224, 1863, 14407, 5380, 3705, 44945, 36178, 41950, 16572, 28671, 12399, 8978, 36632, 8608, 33604, 6027, 34051, 44713, 36178, 9640, 22807, 1392, 11933, 15730, 9673, 25720, 25724, 995, 10632, 20666, 2255, 7100], "avg_logprob": -0.3631904042044351, "compression_ratio": 1.2357142857142858, "no_speech_prob": 0.0, "words": [{"start": 3117.01, "end": 3117.81, "word": "فحاولوا", "probability": 0.91640625}, {"start": 3117.81, "end": 3118.03, "word": " يكونوا", "probability": 0.5903727213541666}, {"start": 3118.03, "end": 3118.57, "word": " تبرهنوا", "probability": 0.596142578125}, {"start": 3118.57, "end": 3119.07, "word": " exercise", "probability": 0.31298828125}, {"start": 3119.07, "end": 3119.79, "word": " 13", "probability": 0.7216796875}, {"start": 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3127.57, "end": 3128.07, "word": " campbell", "probability": 0.5234375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3128.70325, "duration_after_vad": 2778.01749999999}
\ No newline at end of file