diff --git "a/PL9fwy3NUQKwZHPs6l8Fr-st-8cVJxmVek/Nztl0T85AIM_raw.json" "b/PL9fwy3NUQKwZHPs6l8Fr-st-8cVJxmVek/Nztl0T85AIM_raw.json"
new file mode 100644--- /dev/null
+++ "b/PL9fwy3NUQKwZHPs6l8Fr-st-8cVJxmVek/Nztl0T85AIM_raw.json"
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 5059, "start": 21.21, "end": 50.59, "text": "انراجع مع بعض ال order properties of R او خواص الترتيب للأعداد الحقيقية احنا من بداية ال chapter قلنا انه ال real number system نظام الأعداد الحقيقية نظام الأعداد الحقيقية يتكون من مجموعة R boldface R", "tokens": [7649, 2288, 26108, 3615, 20449, 45030, 11242, 2423, 1668, 7221, 295, 497, 1975, 2407, 16490, 2407, 33546, 16712, 2288, 31371, 3555, 24976, 10721, 22488, 18513, 21542, 38436, 4587, 10632, 1975, 5016, 8315, 9154, 4724, 28259, 10632, 2423, 7187, 12174, 1211, 8315, 16472, 3224, 2423, 957, 1230, 1185, 8717, 19913, 10943, 16247, 22488, 18513, 21542, 38436, 4587, 10632, 8717, 19913, 10943, 16247, 22488, 18513, 21542, 38436, 4587, 10632, 7251, 2655, 30544, 9154, 3714, 7435, 2304, 2407, 27884, 497, 11928, 2868, 497], "avg_logprob": -0.1480516975308642, "compression_ratio": 1.6702127659574468, "no_speech_prob": 0.0, "words": [{"start": 21.21, "end": 22.03, "word": "انراجع", "probability": 0.7403564453125}, {"start": 22.03, "end": 22.23, "word": " مع", "probability": 0.98291015625}, {"start": 22.23, "end": 22.67, "word": " بعض", "probability": 0.998046875}, {"start": 22.67, "end": 22.93, "word": " ال", "probability": 0.912109375}, {"start": 22.93, "end": 24.05, "word": " order", "probability": 0.7978515625}, {"start": 24.05, "end": 24.89, "word": " properties", "probability": 0.537109375}, {"start": 24.89, "end": 25.19, "word": " of", "probability": 0.958984375}, {"start": 25.19, "end": 25.55, "word": " R", "probability": 0.68115234375}, {"start": 25.55, "end": 27.53, "word": " او", "probability": 0.705078125}, {"start": 27.53, "end": 28.03, "word": " خواص", "probability": 0.84765625}, {"start": 28.03, "end": 28.87, "word": " الترتيب", "probability": 0.94677734375}, {"start": 28.87, "end": 29.51, "word": " للأعداد", "probability": 0.81048583984375}, {"start": 29.51, "end": 30.25, "word": " الحقيقية", "probability": 0.962646484375}, {"start": 30.25, "end": 32.61, "word": " احنا", "probability": 0.9420572916666666}, {"start": 32.61, "end": 32.81, "word": " من", "probability": 0.990234375}, {"start": 32.81, "end": 33.27, "word": " بداية", "probability": 0.9485677083333334}, {"start": 33.27, "end": 33.43, "word": " ال", "probability": 0.61083984375}, {"start": 33.43, "end": 33.79, "word": " chapter", "probability": 0.94677734375}, {"start": 33.79, "end": 34.23, "word": " قلنا", "probability": 0.8336588541666666}, {"start": 34.23, "end": 34.75, "word": " انه", "probability": 0.749267578125}, {"start": 34.75, "end": 35.65, "word": " ال", "probability": 0.90771484375}, {"start": 35.65, "end": 35.87, "word": " real", "probability": 0.85693359375}, {"start": 35.87, "end": 36.27, "word": " number", "probability": 0.92626953125}, {"start": 36.27, "end": 36.89, "word": " system", "probability": 0.97802734375}, {"start": 36.89, "end": 37.23, "word": " نظام", "probability": 0.9563802083333334}, {"start": 37.23, "end": 37.63, "word": " الأعداد", "probability": 0.8780924479166666}, {"start": 37.63, "end": 38.35, "word": " الحقيقية", "probability": 0.9827880859375}, {"start": 38.35, "end": 43.25, "word": " نظام", "probability": 0.90625}, {"start": 43.25, "end": 43.73, "word": " الأعداد", "probability": 0.9404296875}, {"start": 43.73, "end": 44.51, "word": " الحقيقية", "probability": 0.9893798828125}, {"start": 44.51, "end": 46.15, "word": " يتكون", "probability": 0.796142578125}, {"start": 46.15, "end": 46.65, "word": " من", "probability": 0.99365234375}, {"start": 46.65, "end": 47.45, "word": " مجموعة", "probability": 0.945703125}, {"start": 47.45, "end": 48.05, "word": " R", "probability": 0.9521484375}, {"start": 48.05, "end": 50.17, "word": " boldface", "probability": 0.5604248046875}, {"start": 50.17, "end": 50.59, "word": " R", "probability": 0.8896484375}], "temperature": 1.0}, {"id": 2, "seek": 8051, "start": 51.67, "end": 80.51, "text": "مع عمليتين فنائيتين واحدة عملية الجامعة واحدة عملية الضرب وافترضنا ان العمليات هذه بتحقق خمس خواص اللي هي خواص ال field اللي هو ال commutative law, associative law, distributive laws, existence of identities, existence of inverses", "tokens": [2304, 3615, 6225, 2304, 20292, 2655, 9957, 6156, 1863, 16373, 36081, 9957, 36764, 24401, 3660, 6225, 42213, 10632, 25724, 10943, 27884, 36764, 24401, 3660, 6225, 42213, 10632, 6024, 114, 25513, 4032, 31845, 2655, 43042, 8315, 16472, 18863, 2304, 20292, 9307, 29538, 39894, 5016, 4587, 4587, 16490, 2304, 3794, 16490, 2407, 33546, 13672, 1829, 39896, 16490, 2407, 33546, 2423, 2519, 13672, 1829, 31439, 2423, 800, 325, 1166, 2101, 11, 4180, 1166, 2101, 11, 4400, 17254, 6064, 11, 9123, 295, 24239, 11, 9123, 295, 21378, 279], "avg_logprob": -0.15027572898303762, "compression_ratio": 1.7659574468085106, "no_speech_prob": 0.0, "words": [{"start": 51.67, "end": 52.23, "word": "مع", "probability": 0.983642578125}, {"start": 52.23, "end": 53.27, "word": " عمليتين", "probability": 0.866552734375}, {"start": 53.27, "end": 54.29, "word": " فنائيتين", "probability": 0.861328125}, {"start": 54.29, "end": 55.77, "word": " واحدة", "probability": 0.8351236979166666}, {"start": 55.77, "end": 56.13, "word": " عملية", "probability": 0.9606119791666666}, {"start": 56.13, "end": 56.59, "word": " الجامعة", "probability": 0.9012044270833334}, {"start": 56.59, "end": 56.99, "word": " واحدة", "probability": 0.8460286458333334}, {"start": 56.99, "end": 57.37, "word": " عملية", "probability": 0.9313151041666666}, {"start": 57.37, "end": 57.93, "word": " الضرب", "probability": 0.8240559895833334}, {"start": 57.93, "end": 60.03, "word": " وافترضنا", "probability": 0.916015625}, {"start": 60.03, "end": 60.27, "word": " ان", "probability": 0.5830078125}, {"start": 60.27, "end": 61.29, "word": " العمليات", "probability": 0.865966796875}, {"start": 61.29, "end": 61.65, "word": " هذه", "probability": 0.69580078125}, {"start": 61.65, "end": 62.47, "word": " بتحقق", "probability": 0.8916015625}, {"start": 62.47, "end": 62.91, "word": " خمس", "probability": 0.98291015625}, {"start": 62.91, "end": 63.49, "word": " خواص", "probability": 0.8723958333333334}, {"start": 63.49, "end": 64.39, "word": " اللي", "probability": 0.88232421875}, {"start": 64.39, "end": 64.59, "word": " هي", "probability": 0.86279296875}, {"start": 64.59, "end": 65.09, "word": " خواص", "probability": 0.90673828125}, {"start": 65.09, "end": 65.29, "word": " ال", "probability": 0.8603515625}, {"start": 65.29, "end": 65.77, "word": " field", "probability": 0.9658203125}, {"start": 65.77, "end": 67.73, "word": " اللي", "probability": 0.951904296875}, {"start": 67.73, "end": 67.91, "word": " هو", "probability": 0.9873046875}, {"start": 67.91, "end": 68.03, "word": " ال", "probability": 0.7158203125}, {"start": 68.03, "end": 68.63, "word": " commutative", "probability": 0.8352864583333334}, {"start": 68.63, "end": 68.91, "word": " law,", "probability": 0.87646484375}, {"start": 69.05, "end": 69.81, "word": " associative", "probability": 0.9755859375}, {"start": 69.81, "end": 70.71, "word": " law,", "probability": 0.9208984375}, {"start": 71.91, "end": 73.83, "word": " distributive", "probability": 0.94775390625}, {"start": 73.83, "end": 74.39, "word": " laws,", "probability": 0.84130859375}, {"start": 75.49, "end": 77.29, "word": " existence", "probability": 0.97314453125}, {"start": 77.29, "end": 77.69, "word": " of", "probability": 0.98046875}, {"start": 77.69, "end": 78.61, "word": " identities,", "probability": 0.9287109375}, {"start": 79.03, "end": 79.47, "word": " existence", "probability": 0.9853515625}, {"start": 79.47, "end": 79.87, "word": " of", "probability": 0.9765625}, {"start": 79.87, "end": 80.51, "word": " inverses", "probability": 0.8642578125}], "temperature": 1.0}, {"id": 3, "seek": 11008, "start": 82.18, "end": 110.08, "text": "بعدين ضفنا على ذلك انه افترضنا انه ال real number system R بتحقق برضه خاصية الترتيب او خواص الترتيب اللي هي الخاصية السادسة هذه الخاصية السادسة هذه تجزأت يعني تنص على ما يليه نفترض انه يوجد مجموعة جزئية من R غير خالية و المجموعة الجزئية هذه بنسميها P اللي هو اول حرف في positive", "tokens": [3555, 22488, 9957, 48812, 5172, 8315, 15844, 29910, 23275, 16472, 3224, 1975, 5172, 2655, 43042, 8315, 16472, 3224, 2423, 957, 1230, 1185, 497, 39894, 5016, 4587, 4587, 4724, 43042, 3224, 16490, 33546, 10632, 16712, 2288, 31371, 3555, 1975, 2407, 16490, 2407, 33546, 16712, 2288, 31371, 3555, 13672, 1829, 39896, 33962, 33546, 10632, 21136, 18513, 3794, 3660, 29538, 33962, 33546, 10632, 21136, 18513, 3794, 3660, 29538, 6055, 7435, 11622, 10721, 2655, 37495, 22653, 6055, 1863, 9381, 15844, 19446, 7251, 20292, 3224, 8717, 5172, 2655, 43042, 16472, 3224, 7251, 29245, 3215, 3714, 7435, 2304, 2407, 27884, 10874, 11622, 19986, 10632, 9154, 497, 32771, 13546, 16490, 6027, 10632, 4032, 9673, 7435, 2304, 2407, 27884, 25724, 11622, 19986, 10632, 29538, 44945, 38251, 1829, 11296, 430, 13672, 1829, 31439, 1975, 12610, 11331, 28480, 8978, 3353], "avg_logprob": -0.12845897151313665, "compression_ratio": 1.874015748031496, "no_speech_prob": 0.0, "words": [{"start": 82.18, "end": 82.7, "word": "بعدين", "probability": 0.7882486979166666}, {"start": 82.7, "end": 83.12, "word": " ضفنا", "probability": 0.8699544270833334}, {"start": 83.12, "end": 83.34, "word": " على", "probability": 0.857421875}, {"start": 83.34, "end": 83.88, "word": " ذلك", "probability": 0.97705078125}, {"start": 83.88, "end": 84.36, "word": " انه", "probability": 0.647705078125}, {"start": 84.36, "end": 85.04, "word": " افترضنا", "probability": 0.96357421875}, {"start": 85.04, "end": 85.42, "word": " انه", "probability": 0.73388671875}, {"start": 85.42, "end": 85.6, "word": " ال", "probability": 0.8603515625}, {"start": 85.6, "end": 85.76, "word": " real", "probability": 0.51123046875}, {"start": 85.76, "end": 86.14, "word": " number", "probability": 0.90625}, {"start": 86.14, "end": 86.62, "word": " system", "probability": 0.955078125}, {"start": 86.62, "end": 87.02, "word": " R", "probability": 0.82666015625}, {"start": 87.02, "end": 88.3, "word": " بتحقق", "probability": 0.939208984375}, {"start": 88.3, "end": 88.66, "word": " برضه", "probability": 0.9695638020833334}, {"start": 88.66, "end": 89.82, "word": " خاصية", "probability": 0.85107421875}, {"start": 89.82, "end": 90.4, "word": " الترتيب", "probability": 0.9278564453125}, {"start": 90.4, "end": 90.54, "word": " او", "probability": 0.794921875}, {"start": 90.54, "end": 91.02, "word": " خواص", "probability": 0.8328450520833334}, {"start": 91.02, "end": 91.76, "word": " الترتيب", "probability": 0.93017578125}, {"start": 91.76, "end": 92.42, "word": " اللي", "probability": 0.851318359375}, {"start": 92.42, "end": 92.52, "word": " هي", "probability": 0.87060546875}, {"start": 92.52, "end": 93.02, "word": " الخاصية", "probability": 0.9879557291666666}, {"start": 93.02, "end": 93.64, "word": " السادسة", "probability": 0.927734375}, {"start": 93.64, "end": 94.0, "word": " هذه", "probability": 0.7060546875}, {"start": 94.0, "end": 95.08, "word": " الخاصية", "probability": 0.9158528645833334}, {"start": 95.08, "end": 95.7, "word": " السادسة", "probability": 0.9908447265625}, {"start": 95.7, "end": 96.06, "word": " هذه", "probability": 0.69384765625}, {"start": 96.06, "end": 97.1, "word": " تجزأت", "probability": 0.76640625}, {"start": 97.1, "end": 97.54, "word": " يعني", "probability": 0.8212890625}, {"start": 97.54, "end": 98.26, "word": " تنص", "probability": 0.9471028645833334}, {"start": 98.26, "end": 98.44, "word": " على", "probability": 0.7841796875}, {"start": 98.44, "end": 98.64, "word": " ما", "probability": 0.765625}, {"start": 98.64, "end": 99.88, "word": " يليه", "probability": 0.8147786458333334}, {"start": 99.88, "end": 100.58, "word": " نفترض", "probability": 0.8878173828125}, {"start": 100.58, "end": 100.84, "word": " انه", "probability": 0.6884765625}, {"start": 100.84, "end": 101.16, "word": " يوجد", "probability": 0.9876302083333334}, {"start": 101.16, "end": 101.56, "word": " مجموعة", "probability": 0.9642578125}, {"start": 101.56, "end": 102.02, "word": " جزئية", "probability": 0.9586181640625}, {"start": 102.02, "end": 102.22, "word": " من", "probability": 0.990234375}, {"start": 102.22, "end": 102.56, "word": " R", "probability": 0.9453125}, {"start": 102.56, "end": 102.94, "word": " غير", "probability": 0.992431640625}, {"start": 102.94, "end": 103.56, "word": " خالية", "probability": 0.99560546875}, {"start": 103.56, "end": 104.72, "word": " و", "probability": 0.63916015625}, {"start": 104.72, "end": 105.26, "word": " المجموعة", "probability": 0.8970703125}, {"start": 105.26, "end": 105.82, "word": " الجزئية", "probability": 0.9937744140625}, {"start": 105.82, "end": 106.02, "word": " هذه", "probability": 0.56298828125}, {"start": 106.02, "end": 106.78, "word": " بنسميها", "probability": 0.9324951171875}, {"start": 106.78, "end": 107.12, "word": " P", "probability": 0.9296875}, {"start": 107.12, "end": 108.46, "word": " اللي", "probability": 0.9306640625}, {"start": 108.46, "end": 108.62, "word": " هو", "probability": 0.99072265625}, {"start": 108.62, "end": 108.9, "word": " اول", "probability": 0.775634765625}, {"start": 108.9, "end": 109.36, "word": " حرف", "probability": 0.997314453125}, {"start": 109.36, "end": 109.6, "word": " في", "probability": 0.8046875}, {"start": 109.6, "end": 110.08, "word": " positive", "probability": 0.90966796875}], "temperature": 1.0}, {"id": 4, "seek": 13318, "start": 112.18, "end": 133.18, "text": "عشان نسميها بعد هيك the set of positive real numbers ف ال set P هذه closed under addition and under multiplication كمان نفترض أن ال set P هذه بتحقق الخاصية الثلاثية ال trichotomy property", "tokens": [3615, 8592, 7649, 8717, 38251, 1829, 11296, 39182, 39896, 4117, 264, 992, 295, 3353, 957, 3547, 6156, 2423, 992, 430, 29538, 5395, 833, 4500, 293, 833, 27290, 9122, 2304, 7649, 8717, 5172, 2655, 43042, 14739, 2423, 992, 430, 29538, 39894, 5016, 4587, 4587, 33962, 33546, 10632, 6024, 104, 1211, 5718, 104, 10632, 2423, 504, 480, 310, 8488, 4707], "avg_logprob": -0.21504237288135594, "compression_ratio": 1.3798882681564246, "no_speech_prob": 0.0, "words": [{"start": 112.18, "end": 113.04, "word": "عشان", "probability": 0.8063151041666666}, {"start": 113.04, "end": 113.48, "word": " نسميها", "probability": 0.8221435546875}, {"start": 113.48, "end": 113.72, "word": " بعد", "probability": 0.92724609375}, {"start": 113.72, "end": 114.82, "word": " هيك", "probability": 0.915771484375}, {"start": 114.82, "end": 115.04, "word": " the", "probability": 0.285400390625}, {"start": 115.04, "end": 115.4, "word": " set", "probability": 0.97607421875}, {"start": 115.4, "end": 115.64, "word": " of", "probability": 0.97412109375}, {"start": 115.64, "end": 116.08, "word": " positive", "probability": 0.92236328125}, {"start": 116.08, "end": 116.42, "word": " real", "probability": 0.9677734375}, {"start": 116.42, "end": 116.98, "word": " numbers", "probability": 0.88330078125}, {"start": 116.98, "end": 118.84, "word": " ف", "probability": 0.83251953125}, {"start": 118.84, "end": 119.08, "word": " ال", "probability": 0.5732421875}, {"start": 119.08, "end": 119.3, "word": " set", "probability": 0.9296875}, {"start": 119.3, "end": 119.52, "word": " P", "probability": 0.81298828125}, {"start": 119.52, "end": 119.94, "word": " هذه", "probability": 0.55126953125}, {"start": 119.94, "end": 120.98, "word": " closed", "probability": 0.83447265625}, {"start": 120.98, "end": 121.42, "word": " under", "probability": 0.8779296875}, {"start": 121.42, "end": 122.02, "word": " addition", "probability": 0.96826171875}, {"start": 122.02, "end": 123.16, "word": " and", "probability": 0.89306640625}, {"start": 123.16, "end": 123.68, "word": " under", "probability": 0.461669921875}, {"start": 123.68, "end": 124.8, "word": " multiplication", "probability": 0.87158203125}, {"start": 124.8, "end": 126.86, "word": " كمان", "probability": 0.9410807291666666}, {"start": 126.86, "end": 127.62, "word": " نفترض", "probability": 0.9632568359375}, {"start": 127.62, "end": 127.78, "word": " أن", "probability": 0.411865234375}, {"start": 127.78, "end": 127.94, "word": " ال", "probability": 0.955078125}, {"start": 127.94, "end": 128.22, "word": " set", "probability": 0.9755859375}, {"start": 128.22, "end": 128.54, "word": " P", "probability": 0.97607421875}, {"start": 128.54, "end": 128.94, "word": " هذه", "probability": 0.91064453125}, {"start": 128.94, "end": 129.48, "word": " بتحقق", "probability": 0.9298095703125}, {"start": 129.48, "end": 130.2, "word": " الخاصية", "probability": 0.7805989583333334}, {"start": 130.2, "end": 131.02, "word": " الثلاثية", "probability": 0.9647623697916666}, {"start": 131.02, "end": 131.14, "word": " ال", "probability": 0.403564453125}, {"start": 131.14, "end": 132.04, "word": " trichotomy", "probability": 0.643096923828125}, {"start": 132.04, "end": 133.18, "word": " property", "probability": 0.9541015625}], "temperature": 1.0}, {"id": 5, "seek": 16072, "start": 134.24, "end": 160.72, "text": "which means that for any real number a exactly one of the three possibilities holds either a belongs to p or a equals zero or negative a belongs to p بناء على هذه الخاصية شفنا أن الأعداد الحقيقية", "tokens": [13690, 1355, 300, 337, 604, 957, 1230, 257, 2293, 472, 295, 264, 1045, 12178, 9190, 2139, 257, 12953, 281, 280, 420, 257, 6915, 4018, 420, 3671, 257, 12953, 281, 280, 44945, 16606, 15844, 29538, 33962, 33546, 10632, 13412, 5172, 8315, 14739, 16247, 22488, 18513, 21542, 38436, 4587, 10632], "avg_logprob": -0.1847895456820118, "compression_ratio": 1.3314285714285714, "no_speech_prob": 0.0, "words": [{"start": 134.24, "end": 134.72, "word": "which", "probability": 0.10272216796875}, {"start": 134.72, "end": 135.28, "word": " means", "probability": 0.93115234375}, {"start": 135.28, "end": 135.68, "word": " that", "probability": 0.9052734375}, {"start": 135.68, "end": 136.0, "word": " for", "probability": 0.91552734375}, {"start": 136.0, "end": 136.32, "word": " any", "probability": 0.87109375}, {"start": 136.32, "end": 136.58, "word": " real", "probability": 0.93310546875}, {"start": 136.58, "end": 136.98, "word": " number", "probability": 0.958984375}, {"start": 136.98, "end": 137.34, "word": " a", "probability": 0.611328125}, {"start": 137.34, "end": 138.3, "word": " exactly", "probability": 0.826171875}, {"start": 138.3, "end": 138.92, "word": " one", "probability": 0.9287109375}, {"start": 138.92, "end": 140.12, "word": " of", "probability": 0.96826171875}, {"start": 140.12, "end": 140.34, "word": " the", "probability": 0.58935546875}, {"start": 140.34, "end": 140.82, "word": " three", "probability": 0.92529296875}, {"start": 140.82, "end": 142.26, "word": " possibilities", "probability": 0.84521484375}, {"start": 142.26, "end": 142.88, "word": " holds", "probability": 0.81689453125}, {"start": 142.88, "end": 144.94, "word": " either", "probability": 0.8955078125}, {"start": 144.94, "end": 145.44, "word": " a", "probability": 0.8740234375}, {"start": 145.44, "end": 147.06, "word": " belongs", "probability": 0.74853515625}, {"start": 147.06, "end": 147.28, "word": " to", "probability": 0.984375}, {"start": 147.28, "end": 148.08, "word": " p", "probability": 0.6162109375}, {"start": 148.08, "end": 148.74, "word": " or", "probability": 0.93408203125}, {"start": 148.74, "end": 149.08, "word": " a", "probability": 0.9638671875}, {"start": 149.08, "end": 149.42, "word": " equals", "probability": 0.75927734375}, {"start": 149.42, "end": 149.96, "word": " zero", "probability": 0.77783203125}, {"start": 149.96, "end": 151.0, "word": " or", "probability": 0.94580078125}, {"start": 151.0, "end": 151.44, "word": " negative", "probability": 0.93994140625}, {"start": 151.44, "end": 152.0, "word": " a", "probability": 0.974609375}, {"start": 152.0, "end": 152.72, "word": " belongs", "probability": 0.830078125}, {"start": 152.72, "end": 152.96, "word": " to", "probability": 0.97998046875}, {"start": 152.96, "end": 154.42, "word": " p", "probability": 0.953125}, {"start": 154.42, "end": 156.16, "word": " بناء", "probability": 0.89208984375}, {"start": 156.16, "end": 156.4, "word": " على", "probability": 0.76416015625}, {"start": 156.4, "end": 157.12, "word": " هذه", "probability": 0.98388671875}, {"start": 157.12, "end": 157.84, "word": " الخاصية", "probability": 0.892578125}, {"start": 157.84, "end": 159.18, "word": " شفنا", "probability": 0.837890625}, {"start": 159.18, "end": 159.38, "word": " أن", "probability": 0.369384765625}, {"start": 159.38, "end": 159.92, "word": " الأعداد", "probability": 0.9588216145833334}, {"start": 159.92, "end": 160.72, "word": " الحقيقية", "probability": 0.9595947265625}], "temperature": 1.0}, {"id": 6, "seek": 18931, "start": 161.73, "end": 189.31, "text": "gets partitioned to three mutually disjoint sets يعني الخاصية هذه بتجزق بتخليني أجزق العداد الحقيقية إلى تلت مجموعات منفصلة مثنى مثنى pair-wise disjoint يعني إن لو أخدت أي مجموعتين عشوائيتين من التلاتة تقطعهم بساوي فايل مافيش بينهم عناصر و مش تلتين", "tokens": [16284, 24808, 292, 281, 1045, 39144, 717, 48613, 6352, 37495, 22653, 33962, 33546, 10632, 29538, 39894, 7435, 11622, 4587, 39894, 9778, 1211, 9957, 1829, 5551, 7435, 11622, 4587, 18863, 3215, 18513, 21542, 38436, 4587, 10632, 30731, 6055, 1211, 2655, 3714, 7435, 2304, 45367, 9307, 9154, 5172, 36520, 3660, 50113, 1863, 7578, 50113, 1863, 7578, 6119, 12, 3711, 717, 48613, 37495, 22653, 36145, 45164, 5551, 9778, 3215, 2655, 36632, 3714, 7435, 2304, 45367, 2655, 9957, 6225, 8592, 2407, 16373, 36081, 9957, 9154, 16712, 1211, 9307, 3660, 6055, 47432, 3615, 16095, 4724, 3794, 995, 45865, 6156, 995, 26895, 19446, 41185, 8592, 49374, 16095, 18871, 33546, 2288, 4032, 37893, 6055, 1211, 2655, 9957], "avg_logprob": -0.22339527134422785, "compression_ratio": 1.6072874493927125, "no_speech_prob": 0.0, "words": [{"start": 161.73, "end": 162.23, "word": "gets", "probability": 0.321044921875}, {"start": 162.23, "end": 163.37, "word": " partitioned", "probability": 0.918701171875}, {"start": 163.37, "end": 163.53, "word": " to", "probability": 0.80712890625}, {"start": 163.53, "end": 164.03, "word": " three", "probability": 0.80859375}, {"start": 164.03, "end": 165.57, "word": " mutually", "probability": 0.400634765625}, {"start": 165.57, "end": 166.33, "word": " disjoint", "probability": 0.7177734375}, {"start": 166.33, "end": 166.83, "word": " sets", "probability": 0.90576171875}, {"start": 166.83, "end": 167.35, "word": " يعني", "probability": 0.66357421875}, {"start": 167.35, "end": 169.21, "word": " الخاصية", "probability": 0.80078125}, {"start": 169.21, "end": 169.45, "word": " هذه", "probability": 0.54638671875}, {"start": 169.45, "end": 170.21, "word": " بتجزق", "probability": 0.8482666015625}, {"start": 170.21, "end": 171.71, "word": " بتخليني", "probability": 0.80341796875}, {"start": 171.71, "end": 172.51, "word": " أجزق", "probability": 0.8326416015625}, {"start": 172.51, "end": 172.95, "word": " العداد", "probability": 0.7571614583333334}, {"start": 172.95, "end": 173.67, "word": " الحقيقية", "probability": 0.9710693359375}, {"start": 173.67, "end": 174.45, "word": " إلى", "probability": 0.92236328125}, {"start": 174.45, "end": 174.85, "word": " تلت", "probability": 0.8883463541666666}, {"start": 174.85, "end": 175.69, "word": " مجموعات", "probability": 0.97587890625}, {"start": 175.69, "end": 177.55, "word": " منفصلة", "probability": 0.9656982421875}, {"start": 177.55, "end": 178.19, "word": " مثنى", "probability": 0.5791829427083334}, {"start": 178.19, "end": 178.65, "word": " مثنى", "probability": 0.9811197916666666}, {"start": 178.65, "end": 179.05, "word": " pair", "probability": 0.6025390625}, {"start": 179.05, "end": 179.51, "word": "-wise", "probability": 0.671875}, {"start": 179.51, "end": 180.11, "word": " disjoint", "probability": 0.8369140625}, {"start": 180.11, "end": 181.61, "word": " يعني", "probability": 0.945068359375}, {"start": 181.61, "end": 181.87, "word": " إن", "probability": 0.34716796875}, {"start": 181.87, "end": 182.07, "word": " لو", "probability": 0.78125}, {"start": 182.07, "end": 182.53, "word": " أخدت", "probability": 0.9764404296875}, {"start": 182.53, "end": 182.77, "word": " أي", "probability": 0.6796875}, {"start": 182.77, "end": 183.73, "word": " مجموعتين", "probability": 0.9627278645833334}, {"start": 183.73, "end": 184.61, "word": " عشوائيتين", "probability": 0.9785970052083334}, {"start": 184.61, "end": 184.79, "word": " من", "probability": 0.99560546875}, {"start": 184.79, "end": 185.65, "word": " التلاتة", "probability": 0.8604736328125}, {"start": 185.65, "end": 186.71, "word": " تقطعهم", "probability": 0.9027099609375}, {"start": 186.71, "end": 187.17, "word": " بساوي", "probability": 0.7178955078125}, {"start": 187.17, "end": 187.43, "word": " فايل", "probability": 0.5104166666666666}, {"start": 187.43, "end": 187.81, "word": " مافيش", "probability": 0.9129231770833334}, {"start": 187.81, "end": 188.15, "word": " بينهم", "probability": 0.85302734375}, {"start": 188.15, "end": 188.65, "word": " عناصر", "probability": 0.9431966145833334}, {"start": 188.65, "end": 188.75, "word": " و", "probability": 0.74658203125}, {"start": 188.75, "end": 188.85, "word": " مش", "probability": 0.705078125}, {"start": 188.85, "end": 189.31, "word": " تلتين", "probability": 0.70758056640625}], "temperature": 1.0}, {"id": 7, "seek": 21521, "start": 190.41, "end": 215.21, "text": "واتحادهم بساوي ال R، لأن هذا بشكل تجزء على ال R، تجزء على ال R أو بنسميها في الرياضيات partition of R ال set P هذه سمنها set of positive real numbers وعرفنا negative P على إنها negative عناصر ال set P", "tokens": [2407, 9307, 5016, 18513, 16095, 4724, 3794, 995, 45865, 2423, 497, 12399, 5296, 33456, 23758, 4724, 8592, 28820, 6055, 7435, 11622, 38207, 15844, 2423, 497, 12399, 6055, 7435, 11622, 38207, 15844, 2423, 497, 34051, 44945, 38251, 1829, 11296, 8978, 2423, 16572, 46958, 1829, 9307, 24808, 295, 497, 2423, 992, 430, 29538, 8608, 27842, 11296, 992, 295, 3353, 957, 3547, 4032, 3615, 28480, 8315, 3671, 430, 15844, 36145, 11296, 3671, 18871, 33546, 2288, 2423, 992, 430], "avg_logprob": -0.21011513706884885, "compression_ratio": 1.5775401069518717, "no_speech_prob": 0.0, "words": [{"start": 190.41, "end": 191.37, "word": "واتحادهم", "probability": 0.9111328125}, {"start": 191.37, "end": 192.09, "word": " بساوي", "probability": 0.8284912109375}, {"start": 192.09, "end": 192.33, "word": " ال", "probability": 0.82373046875}, {"start": 192.33, "end": 193.13, "word": " R،", "probability": 0.35784912109375}, {"start": 193.13, "end": 193.37, "word": " لأن", "probability": 0.406005859375}, {"start": 193.37, "end": 193.55, "word": " هذا", "probability": 0.86962890625}, {"start": 193.55, "end": 194.05, "word": " بشكل", "probability": 0.9690755208333334}, {"start": 194.05, "end": 194.57, "word": " تجزء", "probability": 0.899169921875}, {"start": 194.57, "end": 194.71, "word": " على", "probability": 0.70703125}, {"start": 194.71, "end": 194.85, "word": " ال", "probability": 0.9580078125}, {"start": 194.85, "end": 195.17, "word": " R،", "probability": 0.69580078125}, {"start": 195.17, "end": 195.67, "word": " تجزء", "probability": 0.9227294921875}, {"start": 195.67, "end": 195.85, "word": " على", "probability": 0.91357421875}, {"start": 195.85, "end": 196.01, "word": " ال", "probability": 0.98876953125}, {"start": 196.01, "end": 196.29, "word": " R", "probability": 0.9931640625}, {"start": 196.29, "end": 196.87, "word": " أو", "probability": 0.44384765625}, {"start": 196.87, "end": 197.45, "word": " بنسميها", "probability": 0.817626953125}, {"start": 197.45, "end": 197.63, "word": " في", "probability": 0.9521484375}, {"start": 197.63, "end": 198.33, "word": " الرياضيات", "probability": 0.94921875}, {"start": 198.33, "end": 199.03, "word": " partition", "probability": 0.7236328125}, {"start": 199.03, "end": 199.63, "word": " of", "probability": 0.9775390625}, {"start": 199.63, "end": 200.03, "word": " R", "probability": 0.984375}, {"start": 200.03, "end": 201.73, "word": " ال", "probability": 0.81103515625}, {"start": 201.73, "end": 201.97, "word": " set", "probability": 0.55810546875}, {"start": 201.97, "end": 202.35, "word": " P", "probability": 0.9453125}, {"start": 202.35, "end": 202.69, "word": " هذه", "probability": 0.418212890625}, {"start": 202.69, "end": 203.27, "word": " سمنها", "probability": 0.8575846354166666}, {"start": 203.27, "end": 203.71, "word": " set", "probability": 0.931640625}, {"start": 203.71, "end": 203.87, "word": " of", "probability": 0.9599609375}, {"start": 203.87, "end": 204.27, "word": " positive", "probability": 0.93310546875}, {"start": 204.27, "end": 204.67, "word": " real", "probability": 0.97265625}, {"start": 204.67, "end": 205.21, "word": " numbers", "probability": 0.90673828125}, {"start": 205.21, "end": 207.71, "word": " وعرفنا", "probability": 0.7694091796875}, {"start": 207.71, "end": 208.31, "word": " negative", "probability": 0.87451171875}, {"start": 208.31, "end": 208.85, "word": " P", "probability": 0.97607421875}, {"start": 208.85, "end": 210.95, "word": " على", "probability": 0.366943359375}, {"start": 210.95, "end": 211.51, "word": " إنها", "probability": 0.780517578125}, {"start": 211.51, "end": 213.13, "word": " negative", "probability": 0.9384765625}, {"start": 213.13, "end": 214.11, "word": " عناصر", "probability": 0.9943033854166666}, {"start": 214.11, "end": 214.57, "word": " ال", "probability": 0.89111328125}, {"start": 214.57, "end": 214.83, "word": " set", "probability": 0.96533203125}, {"start": 214.83, "end": 215.21, "word": " P", "probability": 0.994140625}], "temperature": 1.0}, {"id": 8, "seek": 24361, "start": 224.21, "end": 243.61, "text": "Okay فهي معرفة negative P هي كل ال elements negative A such that A element in P بعدين عرفنا علاقة الترتيب، الآن بنعرف اللي هو order relation على R", "tokens": [8297, 6156, 3224, 1829, 20449, 28480, 3660, 3671, 430, 39896, 28242, 2423, 4959, 3671, 316, 1270, 300, 316, 4478, 294, 430, 39182, 9957, 6225, 28480, 8315, 11203, 995, 28671, 16712, 2288, 31371, 3555, 12399, 6024, 48506, 44945, 3615, 28480, 13672, 1829, 31439, 1668, 9721, 15844, 497], "avg_logprob": -0.1756981319569527, "compression_ratio": 1.2967741935483872, "no_speech_prob": 0.0, "words": [{"start": 224.21000000000004, "end": 225.13000000000002, "word": "Okay", "probability": 0.39111328125}, {"start": 225.13000000000002, "end": 226.05, "word": " فهي", "probability": 0.7390950520833334}, {"start": 226.05, "end": 226.79, "word": " معرفة", "probability": 0.9278971354166666}, {"start": 226.79, "end": 227.23, "word": " negative", "probability": 0.461669921875}, {"start": 227.23, "end": 227.65, "word": " P", "probability": 0.80859375}, {"start": 227.65, "end": 227.93, "word": " هي", "probability": 0.93994140625}, {"start": 227.93, "end": 228.31, "word": " كل", "probability": 0.91650390625}, {"start": 228.31, "end": 228.77, "word": " ال", "probability": 0.88232421875}, {"start": 228.77, "end": 229.43, "word": " elements", "probability": 0.87060546875}, {"start": 229.43, "end": 229.97, "word": " negative", "probability": 0.947265625}, {"start": 229.97, "end": 230.45, "word": " A", "probability": 0.8173828125}, {"start": 230.45, "end": 231.51, "word": " such", "probability": 0.84375}, {"start": 231.51, "end": 231.97, "word": " that", "probability": 0.953125}, {"start": 231.97, "end": 232.29, "word": " A", "probability": 0.87451171875}, {"start": 232.29, "end": 232.89, "word": " element", "probability": 0.927734375}, {"start": 232.89, "end": 233.31, "word": " in", "probability": 0.94775390625}, {"start": 233.31, "end": 233.67, "word": " P", "probability": 0.98828125}, {"start": 233.67, "end": 236.85, "word": " بعدين", "probability": 0.8662109375}, {"start": 236.85, "end": 237.59, "word": " عرفنا", "probability": 0.8072916666666666}, {"start": 237.59, "end": 239.47, "word": " علاقة", "probability": 0.9718424479166666}, {"start": 239.47, "end": 240.29, "word": " الترتيب،", "probability": 0.873828125}, {"start": 240.29, "end": 240.53, "word": " الآن", "probability": 0.723876953125}, {"start": 240.53, "end": 241.59, "word": " بنعرف", "probability": 0.8797200520833334}, {"start": 241.59, "end": 241.81, "word": " اللي", "probability": 0.92333984375}, {"start": 241.81, "end": 242.03, "word": " هو", "probability": 0.9931640625}, {"start": 242.03, "end": 242.43, "word": " order", "probability": 0.5810546875}, {"start": 242.43, "end": 243.09, "word": " relation", "probability": 0.97900390625}, {"start": 243.09, "end": 243.33, "word": " على", "probability": 0.85888671875}, {"start": 243.33, "end": 243.61, "word": " R", "probability": 0.93017578125}], "temperature": 1.0}, {"id": 9, "seek": 26292, "start": 244.9, "end": 262.92, "text": "ما معنى أنه a لو في ending two real numbers ما معنى a أصغر من b أو b أكبر من a قولنا معناها أن الفرق بين b و a is positive real number أو ينتمي لمجموعة الأعداد المجتمعة", "tokens": [15042, 20449, 1863, 7578, 14739, 3224, 257, 45164, 8978, 8121, 732, 957, 3547, 19446, 20449, 1863, 7578, 257, 5551, 9381, 17082, 2288, 9154, 272, 34051, 272, 5551, 4117, 26890, 9154, 257, 12174, 12610, 8315, 20449, 8315, 11296, 14739, 27188, 2288, 4587, 49374, 272, 4032, 257, 307, 3353, 957, 1230, 34051, 7251, 29399, 2304, 1829, 32767, 7435, 2304, 2407, 27884, 16247, 22488, 18513, 9673, 7435, 39237, 27884], "avg_logprob": -0.19402985652880883, "compression_ratio": 1.5, "no_speech_prob": 0.0, "words": [{"start": 244.9, "end": 245.68, "word": "ما", "probability": 0.88232421875}, {"start": 245.68, "end": 246.3, "word": " معنى", "probability": 0.8369140625}, {"start": 246.3, "end": 246.94, "word": " أنه", "probability": 0.25775146484375}, {"start": 246.94, "end": 247.22, "word": " a", "probability": 0.343505859375}, {"start": 247.22, "end": 247.58, "word": " لو", "probability": 0.701171875}, {"start": 247.58, "end": 247.74, "word": " في", "probability": 0.89794921875}, {"start": 247.74, "end": 247.92, "word": " ending", "probability": 0.1060791015625}, {"start": 247.92, "end": 248.16, "word": " two", "probability": 0.7216796875}, {"start": 248.16, "end": 248.34, "word": " real", "probability": 0.9326171875}, {"start": 248.34, "end": 248.72, "word": " numbers", "probability": 0.80810546875}, {"start": 248.72, "end": 248.88, "word": " ما", "probability": 0.9033203125}, {"start": 248.88, "end": 249.2, "word": " معنى", "probability": 0.8995768229166666}, {"start": 249.2, "end": 249.32, "word": " a", "probability": 0.9189453125}, {"start": 249.32, "end": 249.72, "word": " أصغر", "probability": 0.97216796875}, {"start": 249.72, "end": 249.9, "word": " من", "probability": 0.99072265625}, {"start": 249.9, "end": 250.18, "word": " b", "probability": 0.9462890625}, {"start": 250.18, "end": 250.96, "word": " أو", "probability": 0.90771484375}, {"start": 250.96, "end": 251.26, "word": " b", "probability": 0.8037109375}, {"start": 251.26, "end": 251.74, "word": " أكبر", "probability": 0.984375}, {"start": 251.74, "end": 252.0, "word": " من", "probability": 0.99365234375}, {"start": 252.0, "end": 252.22, "word": " a", "probability": 0.97412109375}, {"start": 252.22, "end": 252.72, "word": " قولنا", "probability": 0.69775390625}, {"start": 252.72, "end": 253.32, "word": " معناها", "probability": 0.93603515625}, {"start": 253.32, "end": 253.52, "word": " أن", "probability": 0.8046875}, {"start": 253.52, "end": 254.54, "word": " الفرق", "probability": 0.96923828125}, {"start": 254.54, "end": 255.08, "word": " بين", "probability": 0.96044921875}, {"start": 255.08, "end": 255.4, "word": " b", "probability": 0.88525390625}, {"start": 255.4, "end": 255.58, "word": " و", "probability": 0.94384765625}, {"start": 255.58, "end": 255.9, "word": " a", "probability": 0.82373046875}, {"start": 255.9, "end": 258.02, "word": " is", "probability": 0.91650390625}, {"start": 258.02, "end": 258.62, "word": " positive", "probability": 0.888671875}, {"start": 258.62, "end": 259.32, "word": " real", "probability": 0.9599609375}, {"start": 259.32, "end": 259.82, "word": " number", "probability": 0.9580078125}, {"start": 259.82, "end": 260.4, "word": " أو", "probability": 0.796875}, {"start": 260.4, "end": 261.04, "word": " ينتمي", "probability": 0.978271484375}, {"start": 261.04, "end": 261.68, "word": " لمجموعة", "probability": 0.9703125}, {"start": 261.68, "end": 262.22, "word": " الأعداد", "probability": 0.94482421875}, {"start": 262.22, "end": 262.92, "word": " المجتمعة", "probability": 0.8115234375}], "temperature": 1.0}, {"id": 10, "seek": 29277, "start": 263.52, "end": 292.78, "text": "طب ما معناه a أصغر من أو ساوي b أو b أكبر من أو ساوي a؟ معناته الفرق بين b و a ينتمي للأعداد الموجبة، يعني الفرق موجب أو يساوي سفر أو يساوي سفر، إذن معناه تاني طيب و أعتقد إن احنا بعد هيك أثبتنا أه وقفنا عند النظرية هذه", "tokens": [9566, 3555, 19446, 20449, 8315, 3224, 257, 5551, 9381, 17082, 2288, 9154, 34051, 8608, 995, 45865, 272, 34051, 272, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 257, 22807, 20449, 8315, 47395, 27188, 2288, 4587, 49374, 272, 4032, 257, 7251, 29399, 2304, 1829, 24976, 10721, 22488, 18513, 9673, 29245, 49401, 12399, 37495, 22653, 27188, 2288, 4587, 3714, 29245, 3555, 34051, 7251, 3794, 995, 45865, 8608, 5172, 2288, 34051, 7251, 3794, 995, 45865, 8608, 5172, 2288, 12399, 11933, 8848, 1863, 20449, 8315, 3224, 6055, 7649, 1829, 23032, 1829, 3555, 4032, 5551, 34268, 28543, 36145, 1975, 5016, 8315, 39182, 39896, 4117, 5551, 12984, 3555, 2655, 8315, 5551, 3224, 4032, 4587, 5172, 8315, 43242, 28239, 19913, 2288, 10632, 29538], "avg_logprob": -0.18923610805446267, "compression_ratio": 1.9343434343434343, "no_speech_prob": 0.0, "words": [{"start": 263.52, "end": 263.84, "word": "طب", "probability": 0.7490234375}, {"start": 263.84, "end": 263.94, "word": " ما", "probability": 0.8662109375}, {"start": 263.94, "end": 264.3, "word": " معناه", "probability": 0.7254231770833334}, {"start": 264.3, "end": 264.48, "word": " a", "probability": 0.54736328125}, {"start": 264.48, "end": 264.88, "word": " أصغر", "probability": 0.970458984375}, {"start": 264.88, "end": 265.02, "word": " من", "probability": 0.97216796875}, {"start": 265.02, "end": 265.16, "word": " أو", "probability": 0.87939453125}, {"start": 265.16, "end": 265.5, "word": " ساوي", "probability": 0.9013671875}, {"start": 265.5, "end": 265.74, "word": " b", "probability": 0.84814453125}, {"start": 265.74, "end": 266.18, "word": " أو", "probability": 0.755859375}, {"start": 266.18, "end": 266.44, "word": " b", "probability": 0.76220703125}, {"start": 266.44, "end": 266.86, "word": " أكبر", "probability": 0.98876953125}, {"start": 266.86, "end": 267.04, "word": " من", "probability": 0.994140625}, {"start": 267.04, "end": 267.18, "word": " أو", "probability": 0.9775390625}, {"start": 267.18, "end": 267.62, "word": " ساوي", "probability": 0.9521484375}, {"start": 267.62, "end": 268.3, "word": " a؟", "probability": 0.747314453125}, {"start": 268.3, "end": 268.76, "word": " معناته", "probability": 0.8489583333333334}, {"start": 268.76, "end": 269.22, "word": " الفرق", "probability": 0.9645182291666666}, {"start": 269.22, "end": 269.52, "word": " بين", "probability": 0.96533203125}, {"start": 269.52, "end": 269.74, "word": " b", "probability": 0.90234375}, {"start": 269.74, "end": 269.94, "word": " و", "probability": 0.890625}, {"start": 269.94, "end": 270.22, "word": " a", "probability": 0.8310546875}, {"start": 270.22, "end": 271.44, "word": " ينتمي", "probability": 0.9732666015625}, {"start": 271.44, "end": 272.04, "word": " للأعداد", "probability": 0.829345703125}, {"start": 272.04, "end": 272.7, "word": " الموجبة،", "probability": 0.84033203125}, {"start": 272.7, "end": 272.82, "word": " يعني", "probability": 0.955078125}, {"start": 272.82, "end": 273.24, "word": " الفرق", "probability": 0.9920247395833334}, {"start": 273.24, "end": 273.72, "word": " موجب", "probability": 0.98095703125}, {"start": 273.72, "end": 273.98, "word": " أو", "probability": 0.83837890625}, {"start": 273.98, "end": 274.4, "word": " يساوي", "probability": 0.9686279296875}, {"start": 274.4, "end": 274.76, "word": " سفر", "probability": 0.7869466145833334}, {"start": 274.76, "end": 275.18, "word": " أو", "probability": 0.5322265625}, {"start": 275.18, "end": 275.86, "word": " يساوي", "probability": 0.9818115234375}, {"start": 275.86, "end": 277.82, "word": " سفر،", "probability": 0.8758544921875}, {"start": 277.82, "end": 278.2, "word": " إذن", "probability": 0.6184895833333334}, {"start": 278.2, "end": 279.0, "word": " معناه", "probability": 0.853515625}, {"start": 279.0, "end": 279.4, "word": " تاني", "probability": 0.5542399088541666}, {"start": 279.4, "end": 280.12, "word": " طيب", "probability": 0.83642578125}, {"start": 280.12, "end": 280.94, "word": " و", "probability": 0.409423828125}, {"start": 280.94, "end": 281.32, "word": " أعتقد", "probability": 0.89892578125}, {"start": 281.32, "end": 281.48, "word": " إن", "probability": 0.47900390625}, {"start": 281.48, "end": 282.72, "word": " احنا", "probability": 0.8328450520833334}, {"start": 282.72, "end": 283.44, "word": " بعد", "probability": 0.95703125}, {"start": 283.44, "end": 284.28, "word": " هيك", "probability": 0.8955078125}, {"start": 284.28, "end": 285.58, "word": " أثبتنا", "probability": 0.9927734375}, {"start": 285.58, "end": 290.94, "word": " أه", "probability": 0.52972412109375}, {"start": 290.94, "end": 291.44, "word": " وقفنا", "probability": 0.745849609375}, {"start": 291.44, "end": 291.72, "word": " عند", "probability": 0.986328125}, {"start": 291.72, "end": 292.42, "word": " النظرية", "probability": 0.9788818359375}, {"start": 292.42, "end": 292.78, "word": " هذه", "probability": 0.802734375}], "temperature": 1.0}, {"id": 11, "seek": 32611, "start": 297.81, "end": 326.11, "text": "نظرية واحد خمسة قلنا إنه لأي لو أخدت أي تلت أعداد حقيقية فعند الخواص التالية تتحقق نجموعة الخواص هذه تتحقق فالخواص هذه هذا هي أمامكم transitivity خاصية التعدى", "tokens": [1863, 19913, 2288, 10632, 36764, 24401, 16490, 2304, 3794, 3660, 12174, 1211, 8315, 36145, 3224, 5296, 10721, 1829, 45164, 5551, 9778, 3215, 2655, 36632, 6055, 1211, 2655, 5551, 22488, 18513, 11331, 38436, 4587, 10632, 6156, 3615, 41260, 33962, 2407, 33546, 16712, 6027, 10632, 6055, 2655, 5016, 4587, 4587, 8717, 7435, 2304, 2407, 27884, 33962, 2407, 33546, 29538, 6055, 2655, 5016, 4587, 4587, 6156, 6027, 9778, 2407, 33546, 29538, 23758, 39896, 5551, 2304, 10943, 24793, 17976, 4253, 16490, 33546, 10632, 16712, 22488, 7578], "avg_logprob": -0.2044427674936961, "compression_ratio": 1.6488095238095237, "no_speech_prob": 0.0, "words": [{"start": 297.81, "end": 298.41, "word": "نظرية", "probability": 0.8201904296875}, {"start": 298.41, "end": 298.71, "word": " واحد", "probability": 0.7060546875}, {"start": 298.71, "end": 299.19, "word": " خمسة", "probability": 0.9345703125}, {"start": 299.19, "end": 299.51, "word": " قلنا", "probability": 0.6404622395833334}, {"start": 299.51, "end": 299.75, "word": " إنه", "probability": 0.49267578125}, {"start": 299.75, "end": 300.05, "word": " لأي", "probability": 0.83544921875}, {"start": 300.05, "end": 300.91, "word": " لو", "probability": 0.6416015625}, {"start": 300.91, "end": 301.25, "word": " أخدت", "probability": 0.9354248046875}, {"start": 301.25, "end": 301.41, "word": " أي", "probability": 0.65478515625}, {"start": 301.41, "end": 301.79, "word": " تلت", "probability": 0.87744140625}, {"start": 301.79, "end": 302.31, "word": " أعداد", "probability": 0.9781901041666666}, {"start": 302.31, "end": 303.07, "word": " حقيقية", "probability": 0.979248046875}, {"start": 303.07, "end": 304.23, "word": " فعند", "probability": 0.6494140625}, {"start": 304.23, "end": 304.83, "word": " الخواص", "probability": 0.83056640625}, {"start": 304.83, "end": 305.41, "word": " التالية", "probability": 0.9059244791666666}, {"start": 305.41, "end": 306.19, "word": " تتحقق", "probability": 0.96455078125}, {"start": 306.19, "end": 307.85, "word": " نجموعة", "probability": 0.7134765625}, {"start": 307.85, "end": 308.39, "word": " الخواص", "probability": 0.9306640625}, {"start": 308.39, "end": 308.73, "word": " هذه", "probability": 0.69677734375}, {"start": 308.73, "end": 309.93, "word": " تتحقق", "probability": 0.9890625}, {"start": 309.93, "end": 317.21, "word": " فالخواص", "probability": 0.9037109375}, {"start": 317.21, "end": 317.77, "word": " هذه", "probability": 0.7021484375}, {"start": 317.77, "end": 321.63, "word": " هذا", "probability": 0.50048828125}, {"start": 321.63, "end": 321.91, "word": " هي", "probability": 0.66455078125}, {"start": 321.91, "end": 322.83, "word": " أمامكم", "probability": 0.9404296875}, {"start": 322.83, "end": 324.83, "word": " transitivity", "probability": 0.824462890625}, {"start": 324.83, "end": 325.35, "word": " خاصية", "probability": 0.9513346354166666}, {"start": 325.35, "end": 326.11, "word": " التعدى", "probability": 0.7859700520833334}], "temperature": 1.0}, {"id": 12, "seek": 33877, "start": 326.87, "end": 338.77, "text": "ايه يعني التعدى؟ يعني اذا انا في عندي تلت أعداد حقه في A و B و C", "tokens": [47302, 3224, 37495, 22653, 16712, 22488, 7578, 22807, 37495, 22653, 1975, 15730, 1975, 8315, 8978, 18871, 16254, 6055, 1211, 2655, 5551, 22488, 18513, 11331, 4587, 3224, 8978, 316, 4032, 363, 4032, 383], "avg_logprob": -0.2663352272727273, "compression_ratio": 1.2674418604651163, "no_speech_prob": 0.0, "words": [{"start": 326.87, "end": 327.17, "word": "ايه", "probability": 0.75927734375}, {"start": 327.17, "end": 327.33, "word": " يعني", "probability": 0.962646484375}, {"start": 327.33, "end": 328.67, "word": " التعدى؟", "probability": 0.822509765625}, {"start": 328.67, "end": 328.99, "word": " يعني", "probability": 0.974609375}, {"start": 328.99, "end": 329.29, "word": " اذا", "probability": 0.853515625}, {"start": 329.29, "end": 329.53, "word": " انا", "probability": 0.799072265625}, {"start": 329.53, "end": 329.67, "word": " في", "probability": 0.96240234375}, {"start": 329.67, "end": 330.15, "word": " عندي", "probability": 0.707763671875}, {"start": 330.15, "end": 330.89, "word": " تلت", "probability": 0.9599609375}, {"start": 330.89, "end": 331.49, "word": " أعداد", "probability": 0.8138020833333334}, {"start": 331.49, "end": 332.05, "word": " حقه", "probability": 0.5332845052083334}, {"start": 332.05, "end": 332.13, "word": " في", "probability": 0.966796875}, {"start": 332.13, "end": 335.07, "word": " A", "probability": 0.31201171875}, {"start": 335.07, "end": 335.31, "word": " و", "probability": 0.93603515625}, {"start": 335.31, "end": 335.75, "word": " B", "probability": 0.52685546875}, {"start": 335.75, "end": 338.35, "word": " و", "probability": 0.9951171875}, {"start": 338.35, "end": 338.77, "word": " C", "probability": 0.8779296875}], "temperature": 1.0}, {"id": 13, "seek": 37217, "start": 343.97, "end": 372.17, "text": "وكان B هنا أكبر .. B أكبر من A and C أكبر من B فهذا بيؤدي أنه C أكبر من A خليني أنا أكسهم عشان .. كليهم زي ..", "tokens": [2407, 41361, 363, 34105, 5551, 4117, 26890, 4386, 363, 5551, 4117, 26890, 9154, 316, 293, 383, 5551, 4117, 26890, 9154, 363, 6156, 3224, 15730, 4724, 1829, 33604, 16254, 14739, 3224, 383, 5551, 4117, 26890, 9154, 316, 16490, 1211, 9957, 1829, 41850, 5551, 4117, 3794, 16095, 6225, 8592, 7649, 4386, 9122, 20292, 16095, 30767, 1829, 4386], "avg_logprob": -0.2007533543344055, "compression_ratio": 1.5398230088495575, "no_speech_prob": 0.0, "words": [{"start": 343.97, "end": 344.97, "word": "وكان", "probability": 0.850341796875}, {"start": 344.97, "end": 345.45, "word": " B", "probability": 0.533203125}, {"start": 345.45, "end": 345.79, "word": " هنا", "probability": 0.96875}, {"start": 345.79, "end": 346.29, "word": " أكبر", "probability": 0.8478190104166666}, {"start": 346.29, "end": 346.45, "word": " ..", "probability": 0.410888671875}, {"start": 346.45, "end": 346.67, "word": " B", "probability": 0.611328125}, {"start": 346.67, "end": 347.21, "word": " أكبر", "probability": 0.9757486979166666}, {"start": 347.21, "end": 347.45, "word": " من", "probability": 0.99560546875}, {"start": 347.45, "end": 347.73, "word": " A", "probability": 0.97119140625}, {"start": 347.73, "end": 349.51, "word": " and", "probability": 0.69677734375}, {"start": 349.51, "end": 350.43, "word": " C", "probability": 0.97802734375}, {"start": 350.43, "end": 351.51, "word": " أكبر", "probability": 0.9847005208333334}, {"start": 351.51, "end": 352.01, "word": " من", "probability": 0.99755859375}, {"start": 352.01, "end": 352.53, "word": " B", "probability": 0.9921875}, {"start": 352.53, "end": 355.79, "word": " فهذا", "probability": 0.9620768229166666}, {"start": 355.79, "end": 356.39, "word": " بيؤدي", "probability": 0.73486328125}, {"start": 356.39, "end": 356.91, "word": " أنه", "probability": 0.5548095703125}, {"start": 356.91, "end": 357.29, "word": " C", "probability": 0.98095703125}, {"start": 357.29, "end": 357.95, "word": " أكبر", "probability": 0.9833984375}, {"start": 357.95, "end": 358.19, "word": " من", "probability": 0.9970703125}, {"start": 358.19, "end": 358.61, "word": " A", "probability": 0.990234375}, {"start": 358.61, "end": 369.77, "word": " خليني", "probability": 0.74560546875}, {"start": 369.77, "end": 369.97, "word": " أنا", "probability": 0.298583984375}, {"start": 369.97, "end": 370.69, "word": " أكسهم", "probability": 0.9593505859375}, {"start": 370.69, "end": 371.19, "word": " عشان", "probability": 0.95263671875}, {"start": 371.19, "end": 371.33, "word": " ..", "probability": 0.76220703125}, {"start": 371.33, "end": 371.69, "word": " كليهم", "probability": 0.7506510416666666}, {"start": 371.69, "end": 371.99, "word": " زي", "probability": 0.993896484375}, {"start": 371.99, "end": 372.17, "word": " ..", "probability": 0.97412109375}], "temperature": 1.0}, {"id": 14, "seek": 39329, "start": 372.75, "end": 393.29, "text": "مهمة موجودة هناك هي a أكبر من b هي a أكبر من b و b أكبر من c فبطلع c أو a بطلع أكبر من c", "tokens": [2304, 16095, 3660, 3714, 29245, 23328, 3660, 34105, 4117, 39896, 257, 5551, 4117, 26890, 9154, 272, 39896, 257, 5551, 4117, 26890, 9154, 272, 4032, 272, 5551, 4117, 26890, 9154, 269, 6156, 3555, 9566, 1211, 3615, 269, 34051, 257, 4724, 9566, 1211, 3615, 5551, 4117, 26890, 9154, 269], "avg_logprob": -0.20279948599636555, "compression_ratio": 1.6904761904761905, "no_speech_prob": 0.0, "words": [{"start": 372.75, "end": 373.25, "word": "مهمة", "probability": 0.6067708333333334}, {"start": 373.25, "end": 373.79, "word": " موجودة", "probability": 0.861572265625}, {"start": 373.79, "end": 374.39, "word": " هناك", "probability": 0.989990234375}, {"start": 374.39, "end": 374.71, "word": " هي", "probability": 0.4970703125}, {"start": 374.71, "end": 375.29, "word": " a", "probability": 0.485595703125}, {"start": 375.29, "end": 376.07, "word": " أكبر", "probability": 0.9348958333333334}, {"start": 376.07, "end": 376.35, "word": " من", "probability": 0.978515625}, {"start": 376.35, "end": 376.77, "word": " b", "probability": 0.95947265625}, {"start": 376.77, "end": 379.05, "word": " هي", "probability": 0.2452392578125}, {"start": 379.05, "end": 379.71, "word": " a", "probability": 0.9765625}, {"start": 379.71, "end": 381.81, "word": " أكبر", "probability": 0.9737955729166666}, {"start": 381.81, "end": 382.05, "word": " من", "probability": 0.99609375}, {"start": 382.05, "end": 382.37, "word": " b", "probability": 0.98974609375}, {"start": 382.37, "end": 382.57, "word": " و", "probability": 0.87255859375}, {"start": 382.57, "end": 382.79, "word": " b", "probability": 0.85986328125}, {"start": 382.79, "end": 383.29, "word": " أكبر", "probability": 0.9833984375}, {"start": 383.29, "end": 383.53, "word": " من", "probability": 0.9951171875}, {"start": 383.53, "end": 383.93, "word": " c", "probability": 0.978515625}, {"start": 383.93, "end": 387.09, "word": " فبطلع", "probability": 0.86494140625}, {"start": 387.09, "end": 389.17, "word": " c", "probability": 0.54931640625}, {"start": 389.17, "end": 390.11, "word": " أو", "probability": 0.476318359375}, {"start": 390.11, "end": 390.55, "word": " a", "probability": 0.97998046875}, {"start": 390.55, "end": 391.15, "word": " بطلع", "probability": 0.8751220703125}, {"start": 391.15, "end": 391.81, "word": " أكبر", "probability": 0.9562174479166666}, {"start": 391.81, "end": 392.35, "word": " من", "probability": 0.990234375}, {"start": 392.35, "end": 393.29, "word": " c", "probability": 0.93896484375}], "temperature": 1.0}, {"id": 15, "seek": 42359, "start": 395.03, "end": 423.59, "text": "هذه a أكبر من b و b أكبر من c إذا نقدر نتعدى و نقول a أكبر من c فهذه بيسموها في الرياضيات transitivity أو خاصية التعدى الخاصية التانية بنسميها tricotomy برضه خاصية ثلاثية جاية من الخاصية الثلاثية اللى شفناها قبل شوية", "tokens": [3224, 24192, 257, 5551, 4117, 26890, 9154, 272, 4032, 272, 5551, 4117, 26890, 9154, 269, 11933, 15730, 8717, 28543, 2288, 8717, 2655, 22488, 7578, 4032, 8717, 39648, 257, 5551, 4117, 26890, 9154, 269, 6156, 3224, 24192, 4724, 1829, 38251, 2407, 11296, 8978, 2423, 16572, 46958, 1829, 9307, 17976, 4253, 34051, 16490, 33546, 10632, 16712, 22488, 7578, 33962, 33546, 10632, 16712, 7649, 10632, 44945, 38251, 1829, 11296, 504, 299, 310, 8488, 4724, 43042, 3224, 16490, 33546, 10632, 38637, 1211, 5718, 104, 10632, 10874, 995, 10632, 9154, 33962, 33546, 10632, 6024, 104, 1211, 5718, 104, 10632, 13672, 7578, 13412, 5172, 8315, 11296, 12174, 36150, 13412, 2407, 10632], "avg_logprob": -0.12271520910116862, "compression_ratio": 1.8666666666666667, "no_speech_prob": 0.0, "words": [{"start": 395.03, "end": 395.43, "word": "هذه", "probability": 0.58642578125}, {"start": 395.43, "end": 395.77, "word": " a", "probability": 0.50146484375}, {"start": 395.77, "end": 396.39, "word": " أكبر", "probability": 0.9296875}, {"start": 396.39, "end": 396.67, "word": " من", "probability": 0.9658203125}, {"start": 396.67, "end": 396.95, "word": " b", "probability": 0.92919921875}, {"start": 396.95, "end": 397.33, "word": " و", "probability": 0.83642578125}, {"start": 397.33, "end": 397.49, "word": " b", "probability": 0.5771484375}, {"start": 397.49, "end": 397.89, "word": " أكبر", "probability": 0.9842122395833334}, {"start": 397.89, "end": 398.11, "word": " من", "probability": 0.99560546875}, {"start": 398.11, "end": 398.47, "word": " c", "probability": 0.97119140625}, {"start": 398.47, "end": 399.47, "word": " إذا", "probability": 0.615478515625}, {"start": 399.47, "end": 400.43, "word": " نقدر", "probability": 0.8605143229166666}, {"start": 400.43, "end": 401.53, "word": " نتعدى", "probability": 0.94091796875}, {"start": 401.53, "end": 401.91, "word": " و", "probability": 0.9521484375}, {"start": 401.91, "end": 402.27, "word": " نقول", "probability": 0.9619140625}, {"start": 402.27, "end": 402.55, "word": " a", "probability": 0.95849609375}, {"start": 402.55, "end": 402.97, "word": " أكبر", "probability": 0.9812825520833334}, {"start": 402.97, "end": 403.15, "word": " من", "probability": 0.97998046875}, {"start": 403.15, "end": 403.41, "word": " c", "probability": 0.77978515625}, {"start": 403.41, "end": 404.11, "word": " فهذه", "probability": 0.8095703125}, {"start": 404.11, "end": 404.57, "word": " بيسموها", "probability": 0.93994140625}, {"start": 404.57, "end": 404.75, "word": " في", "probability": 0.9384765625}, {"start": 404.75, "end": 405.27, "word": " الرياضيات", "probability": 0.921875}, {"start": 405.27, "end": 406.23, "word": " transitivity", "probability": 0.916748046875}, {"start": 406.23, "end": 407.17, "word": " أو", "probability": 0.740234375}, {"start": 407.17, "end": 407.63, "word": " خاصية", "probability": 0.9847005208333334}, {"start": 407.63, "end": 408.93, "word": " التعدى", "probability": 0.9635416666666666}, {"start": 408.93, "end": 410.73, "word": " الخاصية", "probability": 0.98486328125}, {"start": 410.73, "end": 413.99, "word": " التانية", "probability": 0.9441731770833334}, {"start": 413.99, "end": 416.09, "word": " بنسميها", "probability": 0.87548828125}, {"start": 416.09, "end": 416.85, "word": " tricotomy", "probability": 0.7225341796875}, {"start": 416.85, "end": 417.43, "word": " برضه", "probability": 0.93359375}, {"start": 417.43, "end": 418.05, "word": " خاصية", "probability": 0.9641927083333334}, {"start": 418.05, "end": 418.67, "word": " ثلاثية", "probability": 0.9763671875}, {"start": 418.67, "end": 419.23, "word": " جاية", "probability": 0.7838541666666666}, {"start": 419.23, "end": 419.93, "word": " من", "probability": 0.9912109375}, {"start": 419.93, "end": 420.43, "word": " الخاصية", "probability": 0.9892578125}, {"start": 420.43, "end": 421.11, "word": " الثلاثية", "probability": 0.962646484375}, {"start": 421.11, "end": 422.07, "word": " اللى", "probability": 0.8291015625}, {"start": 422.07, "end": 422.65, "word": " شفناها", "probability": 0.86767578125}, {"start": 422.65, "end": 423.13, "word": " قبل", "probability": 0.87109375}, {"start": 423.13, "end": 423.59, "word": " شوية", "probability": 0.9080403645833334}], "temperature": 1.0}, {"id": 16, "seek": 44115, "start": 425.15, "end": 441.15, "text": "فبتقول exactly one of the following holds واحد من تلات احتمالات بتحصل اما a اكبر من b او a بتساوي b او a اصغر من b", "tokens": [5172, 3555, 2655, 39648, 2293, 472, 295, 264, 3480, 9190, 36764, 24401, 9154, 6055, 1211, 9307, 1975, 33753, 2304, 6027, 9307, 39894, 5016, 36520, 1975, 15042, 257, 1975, 4117, 26890, 9154, 272, 1975, 2407, 257, 39894, 3794, 995, 45865, 272, 1975, 2407, 257, 1975, 9381, 17082, 2288, 9154, 272], "avg_logprob": -0.11742187559604644, "compression_ratio": 1.3333333333333333, "no_speech_prob": 0.0, "words": [{"start": 425.15, "end": 425.77, "word": "فبتقول", "probability": 0.9505615234375}, {"start": 425.77, "end": 426.23, "word": " exactly", "probability": 0.92919921875}, {"start": 426.23, "end": 426.63, "word": " one", "probability": 0.95458984375}, {"start": 426.63, "end": 426.75, "word": " of", "probability": 0.9833984375}, {"start": 426.75, "end": 426.87, "word": " the", "probability": 0.92529296875}, {"start": 426.87, "end": 427.27, "word": " following", "probability": 0.89697265625}, {"start": 427.27, "end": 427.73, "word": " holds", "probability": 0.939453125}, {"start": 427.73, "end": 428.13, "word": " واحد", "probability": 0.7900390625}, {"start": 428.13, "end": 428.31, "word": " من", "probability": 0.99462890625}, {"start": 428.31, "end": 428.65, "word": " تلات", "probability": 0.6897786458333334}, {"start": 428.65, "end": 429.33, "word": " احتمالات", "probability": 0.9701171875}, {"start": 429.33, "end": 429.97, "word": " بتحصل", "probability": 0.97998046875}, {"start": 429.97, "end": 430.99, "word": " اما", "probability": 0.814453125}, {"start": 430.99, "end": 431.31, "word": " a", "probability": 0.69873046875}, {"start": 431.31, "end": 431.89, "word": " اكبر", "probability": 0.7582194010416666}, {"start": 431.89, "end": 432.13, "word": " من", "probability": 0.9931640625}, {"start": 432.13, "end": 432.49, "word": " b", "probability": 0.9609375}, {"start": 432.49, "end": 433.87, "word": " او", "probability": 0.864013671875}, {"start": 433.87, "end": 434.13, "word": " a", "probability": 0.986328125}, {"start": 434.13, "end": 435.01, "word": " بتساوي", "probability": 0.9217529296875}, {"start": 435.01, "end": 435.59, "word": " b", "probability": 0.9267578125}, {"start": 435.59, "end": 438.23, "word": " او", "probability": 0.958251953125}, {"start": 438.23, "end": 439.19, "word": " a", "probability": 0.98095703125}, {"start": 439.19, "end": 440.59, "word": " اصغر", "probability": 0.9403076171875}, {"start": 440.59, "end": 440.77, "word": " من", "probability": 0.998046875}, {"start": 440.77, "end": 441.15, "word": " b", "probability": 0.935546875}], "temperature": 1.0}, {"id": 17, "seek": 46840, "start": 443.02, "end": 468.4, "text": "لأي عددين حقيقيين A وB واحد فقط من الاحتمالات التلاتة بيكون صحيح وهو اما A أكبر من B أو A بساوي B أو A أصغر من B الـ Antisymmetry property علاقة أكبر من أو ساويها دي بنسميها Antisymmetric يعني ايه؟ بتحقق خاصية تضاد التماثل", "tokens": [1211, 10721, 1829, 6225, 3215, 3215, 9957, 11331, 38436, 38436, 9957, 316, 4032, 33, 36764, 24401, 6156, 47432, 9154, 42963, 33753, 2304, 6027, 9307, 16712, 1211, 9307, 3660, 4724, 1829, 30544, 20328, 5016, 1829, 5016, 37037, 2407, 1975, 15042, 316, 5551, 4117, 26890, 9154, 363, 34051, 316, 4724, 3794, 995, 45865, 363, 34051, 316, 5551, 9381, 17082, 2288, 9154, 363, 2423, 39184, 5130, 14169, 2174, 9889, 4707, 11203, 995, 28671, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 11296, 11778, 1829, 44945, 38251, 1829, 11296, 5130, 14169, 2174, 17475, 37495, 22653, 1975, 1829, 3224, 22807, 39894, 5016, 4587, 4587, 16490, 33546, 10632, 6055, 11242, 18513, 16712, 2304, 5718, 104, 1211], "avg_logprob": -0.15850224876189017, "compression_ratio": 1.651376146788991, "no_speech_prob": 0.0, "words": [{"start": 443.02000000000004, "end": 443.98, "word": "لأي", "probability": 0.7247721354166666}, {"start": 443.98, "end": 444.4, "word": " عددين", "probability": 0.9207763671875}, {"start": 444.4, "end": 445.34, "word": " حقيقيين", "probability": 0.9305419921875}, {"start": 445.34, "end": 445.9, "word": " A", "probability": 0.33740234375}, {"start": 445.9, "end": 446.32, "word": " وB", "probability": 0.76904296875}, {"start": 446.32, "end": 447.64, "word": " واحد", "probability": 0.7198486328125}, {"start": 447.64, "end": 448.08, "word": " فقط", "probability": 0.962646484375}, {"start": 448.08, "end": 448.26, "word": " من", "probability": 0.98046875}, {"start": 448.26, "end": 448.8, "word": " الاحتمالات", "probability": 0.91904296875}, {"start": 448.8, "end": 449.46, "word": " التلاتة", "probability": 0.903564453125}, {"start": 449.46, "end": 450.16, "word": " بيكون", "probability": 0.8369140625}, {"start": 450.16, "end": 450.7, "word": " صحيح", "probability": 0.99365234375}, {"start": 450.7, "end": 451.56, "word": " وهو", "probability": 0.82275390625}, {"start": 451.56, "end": 451.86, "word": " اما", "probability": 0.783935546875}, {"start": 451.86, "end": 452.04, "word": " A", "probability": 0.7568359375}, {"start": 452.04, "end": 452.4, "word": " أكبر", "probability": 0.9031575520833334}, {"start": 452.4, "end": 452.6, "word": " من", "probability": 0.95556640625}, {"start": 452.6, "end": 452.8, "word": " B", "probability": 0.9443359375}, {"start": 452.8, "end": 453.08, "word": " أو", "probability": 0.6923828125}, {"start": 453.08, "end": 453.26, "word": " A", "probability": 0.9208984375}, {"start": 453.26, "end": 453.74, "word": " بساوي", "probability": 0.891845703125}, {"start": 453.74, "end": 454.02, "word": " B", "probability": 0.85888671875}, {"start": 454.02, "end": 454.3, "word": " أو", "probability": 0.76611328125}, {"start": 454.3, "end": 454.46, "word": " A", "probability": 0.95654296875}, {"start": 454.46, "end": 454.88, "word": " أصغر", "probability": 0.832275390625}, {"start": 454.88, "end": 455.04, "word": " من", "probability": 0.9853515625}, {"start": 455.04, "end": 455.34, "word": " B", "probability": 0.978515625}, {"start": 455.34, "end": 458.02, "word": " الـ", "probability": 0.6864013671875}, {"start": 458.02, "end": 458.86, "word": " Antisymmetry", "probability": 0.76611328125}, {"start": 458.86, "end": 459.6, "word": " property", "probability": 0.8056640625}, {"start": 459.6, "end": 461.46, "word": " علاقة", "probability": 0.8763020833333334}, {"start": 461.46, "end": 461.94, "word": " أكبر", "probability": 0.9697265625}, {"start": 461.94, "end": 462.08, "word": " من", "probability": 0.939453125}, {"start": 462.08, "end": 462.26, "word": " أو", "probability": 0.87353515625}, {"start": 462.26, "end": 462.9, "word": " ساويها", "probability": 0.92822265625}, {"start": 462.9, "end": 463.02, "word": " دي", "probability": 0.893798828125}, {"start": 463.02, "end": 463.64, "word": " بنسميها", "probability": 0.8238525390625}, {"start": 463.64, "end": 464.72, "word": " Antisymmetric", "probability": 0.8541259765625}, {"start": 464.72, "end": 465.04, "word": " يعني", "probability": 0.941162109375}, {"start": 465.04, "end": 465.7, "word": " ايه؟", "probability": 0.719482421875}, {"start": 465.7, "end": 466.3, "word": " بتحقق", "probability": 0.91064453125}, {"start": 466.3, "end": 466.98, "word": " خاصية", "probability": 0.9786783854166666}, {"start": 466.98, "end": 467.64, "word": " تضاد", "probability": 0.87890625}, {"start": 467.64, "end": 468.4, "word": " التماثل", "probability": 0.95380859375}], "temperature": 1.0}, {"id": 18, "seek": 48824, "start": 469.76, "end": 488.24, "text": "إيه يعني؟ مع أن لو كانت A على علاقة مع B و B على علاقة مع A فلازم يطلع A بساوي B، A أكبر من أو ساوي B و B أكبر من أو ساوي A فلازم A ساوي B، هذي بنسميها Anti-symmetry property", "tokens": [28814, 1829, 3224, 37495, 22653, 22807, 20449, 14739, 45164, 25961, 2655, 316, 15844, 11203, 995, 28671, 20449, 363, 4032, 363, 15844, 11203, 995, 28671, 20449, 316, 6156, 1211, 31377, 2304, 7251, 9566, 1211, 3615, 316, 4724, 3794, 995, 45865, 363, 12399, 316, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 363, 4032, 363, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 316, 6156, 1211, 31377, 2304, 316, 8608, 995, 45865, 363, 12399, 8032, 8848, 1829, 44945, 38251, 1829, 11296, 27757, 12, 3187, 2174, 9889, 4707], "avg_logprob": -0.22910609927981399, "compression_ratio": 1.6748466257668713, "no_speech_prob": 0.0, "words": [{"start": 469.76, "end": 470.1, "word": "إيه", "probability": 0.66827392578125}, {"start": 470.1, "end": 471.0, "word": " يعني؟", "probability": 0.828125}, {"start": 471.0, "end": 471.24, "word": " مع", "probability": 0.259033203125}, {"start": 471.24, "end": 471.38, "word": " أن", "probability": 0.81103515625}, {"start": 471.38, "end": 471.74, "word": " لو", "probability": 0.68310546875}, {"start": 471.74, "end": 472.28, "word": " كانت", "probability": 0.948486328125}, {"start": 472.28, "end": 472.56, "word": " A", "probability": 0.4951171875}, {"start": 472.56, "end": 473.0, "word": " على", "probability": 0.86279296875}, {"start": 473.0, "end": 473.42, "word": " علاقة", "probability": 0.978515625}, {"start": 473.42, "end": 473.66, "word": " مع", "probability": 0.91162109375}, {"start": 473.66, "end": 473.96, "word": " B", "probability": 0.84716796875}, {"start": 473.96, "end": 474.58, "word": " و", "probability": 0.75244140625}, {"start": 474.58, "end": 474.76, "word": " B", "probability": 0.52880859375}, {"start": 474.76, "end": 474.96, "word": " على", "probability": 0.9150390625}, {"start": 474.96, "end": 475.42, "word": " علاقة", "probability": 0.9783528645833334}, {"start": 475.42, "end": 475.68, "word": " مع", "probability": 0.96240234375}, {"start": 475.68, "end": 476.02, "word": " A", "probability": 0.97998046875}, {"start": 476.02, "end": 477.26, "word": " فلازم", "probability": 0.923828125}, {"start": 477.26, "end": 477.66, "word": " يطلع", "probability": 0.9718017578125}, {"start": 477.66, "end": 477.84, "word": " A", "probability": 0.89794921875}, {"start": 477.84, "end": 478.34, "word": " بساوي", "probability": 0.71380615234375}, {"start": 478.34, "end": 479.22, "word": " B،", "probability": 0.64111328125}, {"start": 479.22, "end": 479.9, "word": " A", "probability": 0.94189453125}, {"start": 479.9, "end": 480.3, "word": " أكبر", "probability": 0.9671223958333334}, {"start": 480.3, "end": 480.46, "word": " من", "probability": 0.94580078125}, {"start": 480.46, "end": 480.56, "word": " أو", "probability": 0.7705078125}, {"start": 480.56, "end": 480.94, "word": " ساوي", "probability": 0.916015625}, {"start": 480.94, "end": 481.2, "word": " B", "probability": 0.94287109375}, {"start": 481.2, "end": 481.5, "word": " و", "probability": 0.599609375}, {"start": 481.5, "end": 481.7, "word": " B", "probability": 0.63916015625}, {"start": 481.7, "end": 482.08, "word": " أكبر", "probability": 0.9845377604166666}, {"start": 482.08, "end": 482.2, "word": " من", "probability": 0.99365234375}, {"start": 482.2, "end": 482.34, "word": " أو", "probability": 0.97314453125}, {"start": 482.34, "end": 482.72, "word": " ساوي", "probability": 0.9599609375}, {"start": 482.72, "end": 482.9, "word": " A", "probability": 0.9677734375}, {"start": 482.9, "end": 483.54, "word": " فلازم", "probability": 0.8480224609375}, {"start": 483.54, "end": 483.7, "word": " A", "probability": 0.9140625}, {"start": 483.7, "end": 484.1, "word": " ساوي", "probability": 0.8704427083333334}, {"start": 484.1, "end": 484.94, "word": " B،", "probability": 0.742919921875}, {"start": 484.94, "end": 485.3, "word": " هذي", "probability": 0.4546712239583333}, {"start": 485.3, "end": 486.52, "word": " بنسميها", "probability": 0.8138427734375}, {"start": 486.52, "end": 486.92, "word": " Anti", "probability": 0.344482421875}, {"start": 486.92, "end": 487.62, "word": "-symmetry", "probability": 0.8076171875}, {"start": 487.62, "end": 488.24, "word": " property", "probability": 0.96142578125}], "temperature": 1.0}, {"id": 19, "seek": 50654, "start": 489.92, "end": 506.54, "text": "هنا الخاصية هذه لو كان a أكبر من b وضفت للطرفين أي عدد c فالمتباينة تبقى زي ما هي شريتها زي ما هي طيب لو في عندي متباينة a أكبر من b لان نتحدث عن متباينات inequalities", "tokens": [3224, 8315, 33962, 33546, 10632, 29538, 45164, 25961, 257, 5551, 4117, 26890, 9154, 272, 4032, 11242, 5172, 2655, 24976, 9566, 28480, 9957, 36632, 6225, 3215, 3215, 269, 6156, 45340, 2655, 3555, 995, 9957, 3660, 6055, 3555, 4587, 7578, 30767, 1829, 19446, 39896, 13412, 16572, 2655, 11296, 30767, 1829, 19446, 39896, 23032, 1829, 3555, 45164, 8978, 18871, 16254, 44650, 3555, 995, 9957, 3660, 257, 5551, 4117, 26890, 9154, 272, 5296, 7649, 8717, 2655, 24401, 12984, 18871, 44650, 3555, 995, 9957, 9307, 41874], "avg_logprob": -0.16082317054998585, "compression_ratio": 1.6529411764705881, "no_speech_prob": 0.0, "words": [{"start": 489.92, "end": 490.56, "word": "هنا", "probability": 0.653564453125}, {"start": 490.56, "end": 491.2, "word": " الخاصية", "probability": 0.9187825520833334}, {"start": 491.2, "end": 491.48, "word": " هذه", "probability": 0.396240234375}, {"start": 491.48, "end": 491.64, "word": " لو", "probability": 0.51416015625}, {"start": 491.64, "end": 491.98, "word": " كان", "probability": 0.97607421875}, {"start": 491.98, "end": 492.2, "word": " a", "probability": 0.53125}, {"start": 492.2, "end": 492.62, "word": " أكبر", "probability": 0.92041015625}, {"start": 492.62, "end": 492.82, "word": " من", "probability": 0.9697265625}, {"start": 492.82, "end": 493.12, "word": " b", "probability": 0.92919921875}, {"start": 493.12, "end": 494.36, "word": " وضفت", "probability": 0.8812255859375}, {"start": 494.36, "end": 495.1, "word": " للطرفين", "probability": 0.880126953125}, {"start": 495.1, "end": 495.38, "word": " أي", "probability": 0.806640625}, {"start": 495.38, "end": 495.82, "word": " عدد", "probability": 0.9840494791666666}, {"start": 495.82, "end": 496.14, "word": " c", "probability": 0.82763671875}, {"start": 496.14, "end": 498.14, "word": " فالمتباينة", "probability": 0.9294084821428571}, {"start": 498.14, "end": 498.56, "word": " تبقى", "probability": 0.966796875}, {"start": 498.56, "end": 498.8, "word": " زي", "probability": 0.9677734375}, {"start": 498.8, "end": 498.9, "word": " ما", "probability": 0.9462890625}, {"start": 498.9, "end": 499.16, "word": " هي", "probability": 0.9453125}, {"start": 499.16, "end": 500.26, "word": " شريتها", "probability": 0.547607421875}, {"start": 500.26, "end": 500.48, "word": " زي", "probability": 0.989501953125}, {"start": 500.48, "end": 500.6, "word": " ما", "probability": 0.9580078125}, {"start": 500.6, "end": 500.78, "word": " هي", "probability": 0.97216796875}, {"start": 500.78, "end": 501.52, "word": " طيب", "probability": 0.8370768229166666}, {"start": 501.52, "end": 501.66, "word": " لو", "probability": 0.9326171875}, {"start": 501.66, "end": 501.82, "word": " في", "probability": 0.73486328125}, {"start": 501.82, "end": 502.04, "word": " عندي", "probability": 0.960693359375}, {"start": 502.04, "end": 502.72, "word": " متباينة", "probability": 0.96787109375}, {"start": 502.72, "end": 502.86, "word": " a", "probability": 0.9345703125}, {"start": 502.86, "end": 503.22, "word": " أكبر", "probability": 0.9705403645833334}, {"start": 503.22, "end": 503.4, "word": " من", "probability": 0.98974609375}, {"start": 503.4, "end": 503.74, "word": " b", "probability": 0.98583984375}, {"start": 503.74, "end": 504.66, "word": " لان", "probability": 0.40576171875}, {"start": 504.66, "end": 505.24, "word": " نتحدث", "probability": 0.891357421875}, {"start": 505.24, "end": 505.38, "word": " عن", "probability": 0.97607421875}, {"start": 505.38, "end": 506.1, "word": " متباينات", "probability": 0.95078125}, {"start": 506.1, "end": 506.54, "word": " inequalities", "probability": 0.9638671875}], "temperature": 1.0}, {"id": 20, "seek": 53540, "start": 508.36, "end": 535.4, "text": "لو كان a أكبر من b و c عدد موجب وضربت الطرفين في عدد الموجب c فإشارة المتباينة تبقى كما هي لكن لو ضربت المتباينة في عدد سالب إشارة المتباينة تناكز الخاصية f بتقول أنه لأي عدد حقيقي لا يساوي سفر مربع أي عدد حقيقي لا يساوي سفر دائما بيكون عدد موجب الواح��", "tokens": [1211, 2407, 25961, 257, 5551, 4117, 26890, 9154, 272, 4032, 269, 6225, 3215, 3215, 3714, 29245, 3555, 4032, 11242, 25513, 2655, 41950, 28480, 9957, 8978, 6225, 3215, 3215, 9673, 29245, 3555, 269, 6156, 28814, 8592, 9640, 3660, 9673, 2655, 3555, 995, 9957, 3660, 6055, 3555, 4587, 7578, 9122, 15042, 39896, 44381, 45164, 48812, 25513, 2655, 9673, 2655, 3555, 995, 9957, 3660, 8978, 6225, 3215, 3215, 8608, 6027, 3555, 11933, 8592, 9640, 3660, 9673, 2655, 3555, 995, 9957, 3660, 6055, 8315, 4117, 11622, 33962, 33546, 10632, 283, 39894, 39648, 14739, 3224, 5296, 10721, 1829, 6225, 3215, 3215, 11331, 38436, 38436, 20193, 7251, 3794, 995, 45865, 8608, 5172, 2288, 3714, 25513, 3615, 36632, 6225, 3215, 3215, 11331, 38436, 38436, 20193, 7251, 3794, 995, 45865, 8608, 5172, 2288, 11778, 16373, 15042, 4724, 1829, 30544, 6225, 3215, 3215, 3714, 29245, 3555, 2423, 14407, 24401], "avg_logprob": -0.1228945052370112, "compression_ratio": 2.2019704433497536, "no_speech_prob": 0.0, "words": [{"start": 508.36, "end": 508.68, "word": "لو", "probability": 0.6591796875}, {"start": 508.68, "end": 508.96, "word": " كان", "probability": 0.8994140625}, {"start": 508.96, "end": 509.12, "word": " a", "probability": 0.58349609375}, {"start": 509.12, "end": 509.5, "word": " أكبر", "probability": 0.9104817708333334}, {"start": 509.5, "end": 509.68, "word": " من", "probability": 0.9560546875}, {"start": 509.68, "end": 509.98, "word": " b", "probability": 0.94970703125}, {"start": 509.98, "end": 510.6, "word": " و", "probability": 0.7861328125}, {"start": 510.6, "end": 510.76, "word": " c", "probability": 0.46923828125}, {"start": 510.76, "end": 511.1, "word": " عدد", "probability": 0.9527994791666666}, {"start": 511.1, "end": 511.5, "word": " موجب", "probability": 0.990234375}, {"start": 511.5, "end": 511.96, "word": " وضربت", "probability": 0.8953857421875}, {"start": 511.96, "end": 512.48, "word": " الطرفين", "probability": 0.9205729166666666}, {"start": 512.48, "end": 512.6, "word": " في", "probability": 0.87353515625}, {"start": 512.6, "end": 512.88, "word": " عدد", "probability": 0.76123046875}, {"start": 512.88, "end": 513.3, "word": " الموجب", "probability": 0.9410807291666666}, {"start": 513.3, "end": 513.56, "word": " c", "probability": 0.49609375}, {"start": 513.56, "end": 514.16, "word": " فإشارة", "probability": 0.97236328125}, {"start": 514.16, "end": 515.0, "word": " المتباينة", "probability": 0.9603678385416666}, {"start": 515.0, "end": 515.7, "word": " تبقى", "probability": 0.9613037109375}, {"start": 515.7, "end": 515.96, "word": " كما", "probability": 0.962158203125}, {"start": 515.96, "end": 516.22, "word": " هي", "probability": 0.9375}, {"start": 516.22, "end": 517.06, "word": " لكن", "probability": 0.63330078125}, {"start": 517.06, "end": 517.3, "word": " لو", "probability": 0.939453125}, {"start": 517.3, "end": 517.74, "word": " ضربت", "probability": 0.9918619791666666}, {"start": 517.74, "end": 518.38, "word": " المتباينة", "probability": 0.9903157552083334}, {"start": 518.38, "end": 518.5, "word": " في", "probability": 0.8984375}, {"start": 518.5, "end": 518.76, "word": " عدد", "probability": 0.9910481770833334}, {"start": 518.76, "end": 519.26, "word": " سالب", "probability": 0.9508463541666666}, {"start": 519.26, "end": 520.38, "word": " إشارة", "probability": 0.977294921875}, {"start": 520.38, "end": 521.24, "word": " المتباينة", "probability": 0.9942220052083334}, {"start": 521.24, "end": 522.0, "word": " تناكز", "probability": 0.58203125}, {"start": 522.0, "end": 524.3, "word": " الخاصية", "probability": 0.8468424479166666}, {"start": 524.3, "end": 525.04, "word": " f", "probability": 0.52294921875}, {"start": 525.04, "end": 525.66, "word": " بتقول", "probability": 0.93701171875}, {"start": 525.66, "end": 525.9, "word": " أنه", "probability": 0.55615234375}, {"start": 525.9, "end": 526.14, "word": " لأي", "probability": 0.9342447916666666}, {"start": 526.14, "end": 526.44, "word": " عدد", "probability": 0.99267578125}, {"start": 526.44, "end": 526.9, "word": " حقيقي", "probability": 0.990234375}, {"start": 526.9, "end": 527.08, "word": " لا", "probability": 0.7763671875}, {"start": 527.08, "end": 527.48, "word": " يساوي", "probability": 0.82666015625}, {"start": 527.48, "end": 527.92, "word": " سفر", "probability": 0.804443359375}, {"start": 527.92, "end": 529.1, "word": " مربع", "probability": 0.9695638020833334}, {"start": 529.1, "end": 529.32, "word": " أي", "probability": 0.79296875}, {"start": 529.32, "end": 529.64, "word": " عدد", "probability": 0.9973958333333334}, {"start": 529.64, "end": 530.1, "word": " حقيقي", "probability": 0.990234375}, {"start": 530.1, "end": 530.28, "word": " لا", "probability": 0.94140625}, {"start": 530.28, "end": 530.58, "word": " يساوي", "probability": 0.9410400390625}, {"start": 530.58, "end": 530.94, "word": " سفر", "probability": 0.9938151041666666}, {"start": 530.94, "end": 531.3, "word": " دائما", "probability": 0.76123046875}, {"start": 531.3, "end": 531.72, "word": " بيكون", "probability": 0.7925618489583334}, {"start": 531.72, "end": 532.1, "word": " عدد", "probability": 0.9913736979166666}, {"start": 532.1, "end": 532.56, "word": " موجب", "probability": 0.9910481770833334}, {"start": 532.56, "end": 535.4, "word": " الواحد", "probability": 0.9464518229166666}], "temperature": 1.0}, {"id": 21, "seek": 56176, "start": 535.9, "end": 561.76, "text": "الـ Distinguished elements في R أو في الـ real number system اللي هم السفر والواحد اللي هو ال identity elements سمناهم بيحققوا ان واحد دايما اكبر من السفر و سالب واحد اصغر من السفر كمان لأي عدد طبيعي هذي the set of natural numbers اي عدد طبيعي بيكون دايما موجب اي عدد طبيعي بيطلع موجب", "tokens": [6027, 39184, 9840, 7050, 4729, 4959, 8978, 497, 34051, 8978, 2423, 39184, 957, 1230, 1185, 13672, 1829, 8032, 2304, 21136, 5172, 2288, 16070, 14407, 24401, 13672, 1829, 31439, 2423, 6575, 4959, 8608, 2304, 8315, 16095, 4724, 1829, 5016, 4587, 4587, 14407, 16472, 36764, 24401, 11778, 47302, 15042, 1975, 4117, 26890, 9154, 21136, 5172, 2288, 4032, 8608, 6027, 3555, 36764, 24401, 1975, 9381, 17082, 2288, 9154, 21136, 5172, 2288, 9122, 2304, 7649, 5296, 10721, 1829, 6225, 3215, 3215, 23032, 21292, 3615, 1829, 8032, 8848, 1829, 264, 992, 295, 3303, 3547, 1975, 1829, 6225, 3215, 3215, 23032, 21292, 3615, 1829, 4724, 1829, 30544, 11778, 47302, 15042, 3714, 29245, 3555, 1975, 1829, 6225, 3215, 3215, 23032, 21292, 3615, 1829, 4724, 1829, 9566, 1211, 3615, 3714, 29245, 3555], "avg_logprob": -0.20512499284744262, "compression_ratio": 1.9380530973451326, "no_speech_prob": 0.0, "words": [{"start": 535.9, "end": 536.28, "word": "الـ", "probability": 0.405029296875}, {"start": 536.28, "end": 537.56, "word": " Distinguished", "probability": 0.7564290364583334}, {"start": 537.56, "end": 538.06, "word": " elements", "probability": 0.5634765625}, {"start": 538.06, "end": 538.32, "word": " في", "probability": 0.748046875}, {"start": 538.32, "end": 538.64, "word": " R", "probability": 0.59521484375}, {"start": 538.64, "end": 539.38, "word": " أو", "probability": 0.67578125}, {"start": 539.38, "end": 539.56, "word": " في", "probability": 0.58154296875}, {"start": 539.56, "end": 539.68, "word": " الـ", "probability": 0.5391845703125}, {"start": 539.68, "end": 539.78, "word": " real", "probability": 0.2144775390625}, {"start": 539.78, "end": 540.06, "word": " number", "probability": 0.94140625}, {"start": 540.06, "end": 540.44, "word": " system", "probability": 0.96728515625}, {"start": 540.44, "end": 540.6, "word": " اللي", "probability": 0.9521484375}, {"start": 540.6, "end": 540.8, "word": " هم", "probability": 0.6142578125}, {"start": 540.8, "end": 541.26, "word": " السفر", "probability": 0.9178059895833334}, {"start": 541.26, "end": 541.84, "word": " والواحد", "probability": 0.8673502604166666}, {"start": 541.84, "end": 542.78, "word": " اللي", "probability": 0.91943359375}, {"start": 542.78, "end": 542.86, "word": " هو", "probability": 0.9267578125}, {"start": 542.86, "end": 542.94, "word": " ال", "probability": 0.9453125}, {"start": 542.94, "end": 543.4, "word": " identity", "probability": 0.86767578125}, {"start": 543.4, "end": 543.94, "word": " elements", "probability": 0.7900390625}, {"start": 543.94, "end": 544.62, "word": " سمناهم", "probability": 0.723876953125}, {"start": 544.62, "end": 546.3, "word": " بيحققوا", "probability": 0.8993326822916666}, {"start": 546.3, "end": 546.48, "word": " ان", "probability": 0.405029296875}, {"start": 546.48, "end": 546.94, "word": " واحد", "probability": 0.986328125}, {"start": 546.94, "end": 547.28, "word": " دايما", "probability": 0.9187825520833334}, {"start": 547.28, "end": 547.66, "word": " اكبر", "probability": 0.8683268229166666}, {"start": 547.66, "end": 547.84, "word": " من", "probability": 0.9931640625}, {"start": 547.84, "end": 548.32, "word": " السفر", "probability": 0.9659830729166666}, {"start": 548.32, "end": 548.56, "word": " و", "probability": 0.44873046875}, {"start": 548.56, "end": 548.96, "word": " سالب", "probability": 0.8717447916666666}, {"start": 548.96, "end": 549.46, "word": " واحد", "probability": 0.99267578125}, {"start": 549.46, "end": 550.4, "word": " اصغر", "probability": 0.8897705078125}, {"start": 550.4, "end": 550.56, "word": " من", "probability": 0.994140625}, {"start": 550.56, "end": 551.58, "word": " السفر", "probability": 0.99560546875}, {"start": 551.58, "end": 552.58, "word": " كمان", "probability": 0.8543294270833334}, {"start": 552.58, "end": 553.4, "word": " لأي", "probability": 0.6089680989583334}, {"start": 553.4, "end": 553.78, "word": " عدد", "probability": 0.9822591145833334}, {"start": 553.78, "end": 554.34, "word": " طبيعي", "probability": 0.9154052734375}, {"start": 554.34, "end": 554.68, "word": " هذي", "probability": 0.4363606770833333}, {"start": 554.68, "end": 554.8, "word": " the", "probability": 0.332275390625}, {"start": 554.8, "end": 555.06, "word": " set", "probability": 0.9521484375}, {"start": 555.06, "end": 555.22, "word": " of", "probability": 0.97998046875}, {"start": 555.22, "end": 555.62, "word": " natural", "probability": 0.90966796875}, {"start": 555.62, "end": 556.16, "word": " numbers", "probability": 0.88134765625}, {"start": 556.16, "end": 556.5, "word": " اي", "probability": 0.751220703125}, {"start": 556.5, "end": 556.84, "word": " عدد", "probability": 0.9939778645833334}, {"start": 556.84, "end": 557.56, "word": " طبيعي", "probability": 0.97802734375}, {"start": 557.56, "end": 558.98, "word": " بيكون", "probability": 0.9615885416666666}, {"start": 558.98, "end": 559.4, "word": " دايما", "probability": 0.9558919270833334}, {"start": 559.4, "end": 559.84, "word": " موجب", "probability": 0.9059244791666666}, {"start": 559.84, "end": 560.1, "word": " اي", "probability": 0.8642578125}, {"start": 560.1, "end": 560.36, "word": " عدد", "probability": 0.9943033854166666}, {"start": 560.36, "end": 560.88, "word": " طبيعي", "probability": 0.9886474609375}, {"start": 560.88, "end": 561.3, "word": " بيطلع", "probability": 0.9482421875}, {"start": 561.3, "end": 561.76, "word": " موجب", "probability": 0.9864908854166666}], "temperature": 1.0}, {"id": 22, "seek": 59007, "start": 562.83, "end": 590.07, "text": "لو كان a عدد حقيقي موجب فمقلوبه موجب لو كان a عدد حقيقي سالب مقلوبه بيطلع سالب الخاصية الأخيرة ال لو كان a أصغر من b و اتنين موجبين فمقلوب لصغير أكبر من مقلوب", "tokens": [1211, 2407, 25961, 257, 6225, 3215, 3215, 11331, 38436, 38436, 3714, 29245, 3555, 6156, 2304, 4587, 1211, 37746, 3224, 3714, 29245, 3555, 45164, 25961, 257, 6225, 3215, 3215, 11331, 38436, 38436, 8608, 6027, 3555, 3714, 4587, 1211, 37746, 3224, 4724, 1829, 9566, 1211, 3615, 8608, 6027, 3555, 2423, 9778, 33546, 10632, 16247, 9778, 48923, 2423, 45164, 25961, 257, 5551, 9381, 17082, 2288, 9154, 272, 4032, 1975, 2655, 1863, 9957, 3714, 29245, 3555, 9957, 6156, 2304, 4587, 1211, 37746, 5296, 9381, 17082, 13546, 5551, 4117, 26890, 9154, 3714, 4587, 1211, 37746], "avg_logprob": -0.1164148346735881, "compression_ratio": 2.0217391304347827, "no_speech_prob": 0.0, "words": [{"start": 562.83, "end": 563.21, "word": "لو", "probability": 0.742431640625}, {"start": 563.21, "end": 563.63, "word": " كان", "probability": 0.921875}, {"start": 563.63, "end": 563.91, "word": " a", "probability": 0.61865234375}, {"start": 563.91, "end": 564.43, "word": " عدد", "probability": 0.970703125}, {"start": 564.43, "end": 564.93, "word": " حقيقي", "probability": 0.9876302083333334}, {"start": 564.93, "end": 565.37, "word": " موجب", "probability": 0.9889322916666666}, {"start": 565.37, "end": 566.05, "word": " فمقلوبه", "probability": 0.9049479166666666}, {"start": 566.05, "end": 566.41, "word": " موجب", "probability": 0.9895833333333334}, {"start": 566.41, "end": 566.63, "word": " لو", "probability": 0.50634765625}, {"start": 566.63, "end": 566.95, "word": " كان", "probability": 0.9873046875}, {"start": 566.95, "end": 567.15, "word": " a", "probability": 0.93212890625}, {"start": 567.15, "end": 567.45, "word": " عدد", "probability": 0.98974609375}, {"start": 567.45, "end": 567.89, "word": " حقيقي", "probability": 0.9923502604166666}, {"start": 567.89, "end": 568.47, "word": " سالب", "probability": 0.9599609375}, {"start": 568.47, "end": 569.51, "word": " مقلوبه", "probability": 0.94228515625}, {"start": 569.51, "end": 569.83, "word": " بيطلع", "probability": 0.764453125}, {"start": 569.83, "end": 571.25, "word": " سالب", "probability": 0.9650065104166666}, {"start": 571.25, "end": 578.99, "word": " الخاصية", "probability": 0.84173583984375}, {"start": 578.99, "end": 579.61, "word": " الأخيرة", "probability": 0.9415690104166666}, {"start": 579.61, "end": 580.01, "word": " ال", "probability": 0.6455078125}, {"start": 580.01, "end": 581.91, "word": " لو", "probability": 0.70654296875}, {"start": 581.91, "end": 582.39, "word": " كان", "probability": 0.9912109375}, {"start": 582.39, "end": 582.91, "word": " a", "probability": 0.9462890625}, {"start": 582.91, "end": 583.69, "word": " أصغر", "probability": 0.964599609375}, {"start": 583.69, "end": 583.89, "word": " من", "probability": 0.986328125}, {"start": 583.89, "end": 584.15, "word": " b", "probability": 0.7578125}, {"start": 584.15, "end": 584.37, "word": " و", "probability": 0.9072265625}, {"start": 584.37, "end": 584.79, "word": " اتنين", "probability": 0.78265380859375}, {"start": 584.79, "end": 585.61, "word": " موجبين", "probability": 0.9866943359375}, {"start": 585.61, "end": 587.37, "word": " فمقلوب", "probability": 0.97861328125}, {"start": 587.37, "end": 588.09, "word": " لصغير", "probability": 0.85479736328125}, {"start": 588.09, "end": 588.93, "word": " أكبر", "probability": 0.90380859375}, {"start": 588.93, "end": 589.25, "word": " من", "probability": 0.97705078125}, {"start": 589.25, "end": 590.07, "word": " مقلوب", "probability": 0.976318359375}], "temperature": 1.0}, {"id": 23, "seek": 61550, "start": 590.98, "end": 615.5, "text": "الكبير أو مقلوب الكبير أصغر من مقلوب الصغير بصرت اتنين اللي هم نفس الإشارة لكن لو كان واحد موجة بواحد سالب فالكلام هذا مش صحيح خدوا بالك طيب نشوف نمر بسرعة على البرهين قرأته البرهين انتوا؟ طيب", "tokens": [6027, 4117, 3555, 13546, 34051, 3714, 4587, 1211, 37746, 33251, 3555, 13546, 5551, 9381, 17082, 2288, 9154, 3714, 4587, 1211, 37746, 31767, 17082, 13546, 4724, 9381, 2288, 2655, 1975, 2655, 1863, 9957, 13672, 1829, 8032, 2304, 8717, 36178, 33688, 8592, 9640, 3660, 44381, 45164, 25961, 36764, 24401, 3714, 29245, 3660, 4724, 14407, 24401, 8608, 6027, 3555, 6156, 6027, 28820, 10943, 23758, 37893, 20328, 5016, 1829, 5016, 16490, 3215, 14407, 20666, 4117, 23032, 1829, 3555, 8717, 8592, 38688, 8717, 29973, 4724, 3794, 2288, 27884, 15844, 2423, 26890, 3224, 9957, 12174, 2288, 10721, 47395, 2423, 26890, 3224, 9957, 16472, 2655, 14407, 22807, 23032, 1829, 3555], "avg_logprob": -0.16962140010526547, "compression_ratio": 1.86096256684492, "no_speech_prob": 0.0, "words": [{"start": 590.98, "end": 591.7, "word": "الكبير", "probability": 0.83636474609375}, {"start": 591.7, "end": 592.2, "word": " أو", "probability": 0.45458984375}, {"start": 592.2, "end": 592.68, "word": " مقلوب", "probability": 0.9320068359375}, {"start": 592.68, "end": 593.16, "word": " الكبير", "probability": 0.9833984375}, {"start": 593.16, "end": 593.6, "word": " أصغر", "probability": 0.919921875}, {"start": 593.6, "end": 593.78, "word": " من", "probability": 0.978515625}, {"start": 593.78, "end": 594.18, "word": " مقلوب", "probability": 0.9468994140625}, {"start": 594.18, "end": 594.68, "word": " الصغير", "probability": 0.8483072916666666}, {"start": 594.68, "end": 595.82, "word": " بصرت", "probability": 0.65234375}, {"start": 595.82, "end": 596.16, "word": " اتنين", "probability": 0.9263916015625}, {"start": 596.16, "end": 596.3, "word": " اللي", "probability": 0.919677734375}, {"start": 596.3, "end": 596.42, "word": " هم", "probability": 0.795166015625}, {"start": 596.42, "end": 596.68, "word": " نفس", "probability": 0.991943359375}, {"start": 596.68, "end": 597.48, "word": " الإشارة", "probability": 0.923828125}, {"start": 597.48, "end": 598.52, "word": " لكن", "probability": 0.8232421875}, {"start": 598.52, "end": 598.74, "word": " لو", "probability": 0.9873046875}, {"start": 598.74, "end": 598.96, "word": " كان", "probability": 0.9921875}, {"start": 598.96, "end": 599.26, "word": " واحد", "probability": 0.991943359375}, {"start": 599.26, "end": 599.64, "word": " موجة", "probability": 0.79296875}, {"start": 599.64, "end": 600.0, "word": " بواحد", "probability": 0.9083658854166666}, {"start": 600.0, "end": 600.48, "word": " سالب", "probability": 0.9700520833333334}, {"start": 600.48, "end": 600.98, "word": " فالكلام", "probability": 0.964599609375}, {"start": 600.98, "end": 601.24, "word": " هذا", "probability": 0.86767578125}, {"start": 601.24, "end": 601.42, "word": " مش", "probability": 0.96826171875}, {"start": 601.42, "end": 601.98, "word": " صحيح", "probability": 0.9969482421875}, {"start": 601.98, "end": 602.66, "word": " خدوا", "probability": 0.7239583333333334}, {"start": 602.66, "end": 603.0, "word": " بالك", "probability": 0.71337890625}, {"start": 603.0, "end": 605.72, "word": " طيب", "probability": 0.93310546875}, {"start": 605.72, "end": 606.18, "word": " نشوف", "probability": 0.912109375}, {"start": 606.18, "end": 607.48, "word": " نمر", "probability": 0.619384765625}, {"start": 607.48, "end": 607.84, "word": " بسرعة", "probability": 0.867431640625}, {"start": 607.84, "end": 608.06, "word": " على", "probability": 0.66650390625}, {"start": 608.06, "end": 608.58, "word": " البرهين", "probability": 0.7877197265625}, {"start": 608.58, "end": 609.14, "word": " قرأته", "probability": 0.7906494140625}, {"start": 609.14, "end": 609.66, "word": " البرهين", "probability": 0.947509765625}, {"start": 609.66, "end": 611.76, "word": " انتوا؟", "probability": 0.7841796875}, {"start": 611.76, "end": 615.5, "word": " طيب", "probability": 0.827880859375}], "temperature": 1.0}, {"id": 24, "seek": 65225, "start": 630.91, "end": 652.25, "text": "خاصية التعدى خاصية التعدى انا كان عندي a أكبر من b and b أكبر من c بدنا نثبت ان هذا يعدي ان a أكبر من c فالبرهان ذلك يكفي نثبت ان الفرق بين c و a موجب", "tokens": [9778, 33546, 10632, 16712, 22488, 7578, 16490, 33546, 10632, 16712, 22488, 7578, 1975, 8315, 25961, 18871, 16254, 257, 5551, 4117, 26890, 9154, 272, 293, 272, 5551, 4117, 26890, 9154, 269, 47525, 8315, 8717, 12984, 3555, 2655, 16472, 23758, 37495, 16254, 16472, 257, 5551, 4117, 26890, 9154, 269, 6156, 6027, 26890, 3224, 7649, 29910, 23275, 7251, 4117, 41185, 8717, 12984, 3555, 2655, 16472, 27188, 2288, 4587, 49374, 269, 4032, 257, 3714, 29245, 3555], "avg_logprob": -0.22923801369863014, "compression_ratio": 1.7943262411347518, "no_speech_prob": 0.0, "words": [{"start": 630.9100000000001, "end": 631.71, "word": "خاصية", "probability": 0.8404947916666666}, {"start": 631.71, "end": 632.51, "word": " التعدى", "probability": 0.8092447916666666}, {"start": 632.51, "end": 634.47, "word": " خاصية", "probability": 0.6773274739583334}, {"start": 634.47, "end": 635.05, "word": " التعدى", "probability": 0.9855143229166666}, {"start": 635.05, "end": 635.21, "word": " انا", "probability": 0.6512451171875}, {"start": 635.21, "end": 635.47, "word": " كان", "probability": 0.77880859375}, {"start": 635.47, "end": 635.89, "word": " عندي", "probability": 0.814697265625}, {"start": 635.89, "end": 636.45, "word": " a", "probability": 0.72216796875}, {"start": 636.45, "end": 637.91, "word": " أكبر", "probability": 0.8815104166666666}, {"start": 637.91, "end": 638.13, "word": " من", "probability": 0.9775390625}, {"start": 638.13, "end": 638.55, "word": " b", "probability": 0.92138671875}, {"start": 638.55, "end": 639.49, "word": " and", "probability": 0.5810546875}, {"start": 639.49, "end": 640.73, "word": " b", "probability": 0.83349609375}, {"start": 640.73, "end": 641.27, "word": " أكبر", "probability": 0.9723307291666666}, {"start": 641.27, "end": 641.47, "word": " من", "probability": 0.9921875}, {"start": 641.47, "end": 641.73, "word": " c", "probability": 0.951171875}, {"start": 641.73, "end": 642.01, "word": " بدنا", "probability": 0.616455078125}, {"start": 642.01, "end": 642.37, "word": " نثبت", "probability": 0.992919921875}, {"start": 642.37, "end": 642.53, "word": " ان", "probability": 0.450439453125}, {"start": 642.53, "end": 642.81, "word": " هذا", "probability": 0.81787109375}, {"start": 642.81, "end": 643.25, "word": " يعدي", "probability": 0.481689453125}, {"start": 643.25, "end": 643.43, "word": " ان", "probability": 0.4833984375}, {"start": 643.43, "end": 643.85, "word": " a", "probability": 0.8330078125}, {"start": 643.85, "end": 644.45, "word": " أكبر", "probability": 0.9521484375}, {"start": 644.45, "end": 644.71, "word": " من", "probability": 0.9931640625}, {"start": 644.71, "end": 645.07, "word": " c", "probability": 0.97412109375}, {"start": 645.07, "end": 647.09, "word": " فالبرهان", "probability": 0.8359375}, {"start": 647.09, "end": 647.49, "word": " ذلك", "probability": 0.981689453125}, {"start": 647.49, "end": 647.87, "word": " يكفي", "probability": 0.92041015625}, {"start": 647.87, "end": 648.49, "word": " نثبت", "probability": 0.9857177734375}, {"start": 648.49, "end": 648.85, "word": " ان", "probability": 0.7666015625}, {"start": 648.85, "end": 650.37, "word": " الفرق", "probability": 0.9444986979166666}, {"start": 650.37, "end": 650.69, "word": " بين", "probability": 0.8798828125}, {"start": 650.69, "end": 650.97, "word": " c", "probability": 0.8515625}, {"start": 650.97, "end": 651.17, "word": " و", "probability": 0.8837890625}, {"start": 651.17, "end": 651.47, "word": " a", "probability": 0.7470703125}, {"start": 651.47, "end": 652.25, "word": " موجب", "probability": 0.714599609375}], "temperature": 1.0}, {"id": 25, "seek": 66837, "start": 652.99, "end": 668.37, "text": "يعني ينتمي لل set P of positive real numbers فتعالوا نثبت الكلام هذا أنا عندي من المعطيات او من الفرض الفرق هذا موجب والفرق هذا موجب من المعطيات", "tokens": [40228, 22653, 7251, 29399, 2304, 1829, 24976, 992, 430, 295, 3353, 957, 3547, 6156, 2655, 3615, 6027, 14407, 8717, 12984, 3555, 2655, 2423, 28820, 10943, 23758, 41850, 18871, 16254, 9154, 9673, 3615, 9566, 1829, 9307, 1975, 2407, 9154, 27188, 43042, 27188, 2288, 4587, 23758, 3714, 29245, 3555, 16070, 5172, 2288, 4587, 23758, 3714, 29245, 3555, 9154, 9673, 3615, 9566, 1829, 9307], "avg_logprob": -0.0956401224097898, "compression_ratio": 1.6054421768707483, "no_speech_prob": 0.0, "words": [{"start": 652.99, "end": 653.43, "word": "يعني", "probability": 0.958740234375}, {"start": 653.43, "end": 654.15, "word": " ينتمي", "probability": 0.9404296875}, {"start": 654.15, "end": 654.73, "word": " لل", "probability": 0.8017578125}, {"start": 654.73, "end": 655.09, "word": " set", "probability": 0.55615234375}, {"start": 655.09, "end": 655.37, "word": " P", "probability": 0.7080078125}, {"start": 655.37, "end": 655.71, "word": " of", "probability": 0.92529296875}, {"start": 655.71, "end": 656.13, "word": " positive", "probability": 0.90966796875}, {"start": 656.13, "end": 656.41, "word": " real", "probability": 0.97412109375}, {"start": 656.41, "end": 656.99, "word": " numbers", "probability": 0.88037109375}, {"start": 656.99, "end": 658.11, "word": " فتعالوا", "probability": 0.87392578125}, {"start": 658.11, "end": 658.47, "word": " نثبت", "probability": 0.9910888671875}, {"start": 658.47, "end": 658.89, "word": " الكلام", "probability": 0.9661458333333334}, {"start": 658.89, "end": 659.33, "word": " هذا", "probability": 0.96826171875}, {"start": 659.33, "end": 660.35, "word": " أنا", "probability": 0.364501953125}, {"start": 660.35, "end": 660.83, "word": " عندي", "probability": 0.958251953125}, {"start": 660.83, "end": 661.37, "word": " من", "probability": 0.98681640625}, {"start": 661.37, "end": 662.13, "word": " المعطيات", "probability": 0.973046875}, {"start": 662.13, "end": 662.31, "word": " او", "probability": 0.81494140625}, {"start": 662.31, "end": 662.45, "word": " من", "probability": 0.978515625}, {"start": 662.45, "end": 662.95, "word": " الفرض", "probability": 0.787841796875}, {"start": 662.95, "end": 664.19, "word": " الفرق", "probability": 0.9270833333333334}, {"start": 664.19, "end": 664.51, "word": " هذا", "probability": 0.89697265625}, {"start": 664.51, "end": 665.09, "word": " موجب", "probability": 0.9827473958333334}, {"start": 665.09, "end": 666.43, "word": " والفرق", "probability": 0.9271240234375}, {"start": 666.43, "end": 666.67, "word": " هذا", "probability": 0.9541015625}, {"start": 666.67, "end": 667.19, "word": " موجب", "probability": 0.9874674479166666}, {"start": 667.19, "end": 667.65, "word": " من", "probability": 0.95263671875}, {"start": 667.65, "end": 668.37, "word": " المعطيات", "probability": 0.9892578125}], "temperature": 1.0}, {"id": 26, "seek": 69804, "start": 669.24, "end": 698.04, "text": "طيب set P closed under addition مغلقة تحت عملية الجمع إذا مجموعة أنصرين في P بيطلع أنصر تالت في P هذا الأنصر التالت اللي بيقول المجموعة طلع A سالب C هذا معناه مادام الفرخ هذا تملى P معناته الفرخ هذا موجب أو A أكبر من C as required كما هو مطلوب، مظبوط؟ واضح؟ طيب", "tokens": [9566, 1829, 3555, 992, 430, 5395, 833, 4500, 3714, 17082, 1211, 28671, 6055, 33753, 6225, 42213, 10632, 25724, 2304, 3615, 11933, 15730, 3714, 7435, 2304, 2407, 27884, 14739, 9381, 2288, 9957, 8978, 430, 4724, 1829, 9566, 1211, 3615, 14739, 9381, 2288, 6055, 6027, 2655, 8978, 430, 23758, 16247, 1863, 9381, 2288, 16712, 6027, 2655, 13672, 1829, 4724, 1829, 39648, 9673, 7435, 2304, 2407, 27884, 23032, 1211, 3615, 316, 8608, 6027, 3555, 383, 23758, 20449, 8315, 3224, 3714, 18513, 10943, 27188, 2288, 9778, 23758, 46811, 23942, 430, 20449, 8315, 47395, 27188, 2288, 9778, 23758, 3714, 29245, 3555, 34051, 316, 5551, 4117, 26890, 9154, 383, 382, 4739, 9122, 15042, 31439, 3714, 9566, 1211, 37746, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 4032, 46958, 5016, 22807, 23032, 1829, 3555], "avg_logprob": -0.19475885451309324, "compression_ratio": 1.688976377952756, "no_speech_prob": 0.0, "words": [{"start": 669.24, "end": 669.76, "word": "طيب", "probability": 0.7286376953125}, {"start": 669.76, "end": 670.8, "word": " set", "probability": 0.086669921875}, {"start": 670.8, "end": 671.08, "word": " P", "probability": 0.80810546875}, {"start": 671.08, "end": 671.66, "word": " closed", "probability": 0.75830078125}, {"start": 671.66, "end": 672.04, "word": " under", "probability": 0.86962890625}, {"start": 672.04, "end": 672.54, "word": " addition", "probability": 0.9462890625}, {"start": 672.54, "end": 672.98, "word": " مغلقة", "probability": 0.924560546875}, {"start": 672.98, "end": 673.32, "word": " تحت", "probability": 0.99267578125}, {"start": 673.32, "end": 673.68, "word": " عملية", "probability": 0.9832356770833334}, {"start": 673.68, "end": 674.16, "word": " الجمع", "probability": 0.8414713541666666}, {"start": 674.16, "end": 674.68, "word": " إذا", "probability": 0.44061279296875}, {"start": 674.68, "end": 675.38, "word": " مجموعة", "probability": 0.91904296875}, {"start": 675.38, "end": 676.62, "word": " أنصرين", "probability": 0.904296875}, {"start": 676.62, "end": 676.84, "word": " في", "probability": 0.92333984375}, {"start": 676.84, "end": 677.08, "word": " P", "probability": 0.9658203125}, {"start": 677.08, "end": 677.5, "word": " بيطلع", "probability": 0.8837890625}, {"start": 677.5, "end": 677.96, "word": " أنصر", "probability": 0.8811848958333334}, {"start": 677.96, "end": 678.4, "word": " تالت", "probability": 0.9698893229166666}, {"start": 678.4, "end": 678.54, "word": " في", "probability": 0.94189453125}, {"start": 678.54, "end": 678.82, "word": " P", "probability": 0.9921875}, {"start": 678.82, "end": 679.28, "word": " هذا", "probability": 0.84521484375}, {"start": 679.28, "end": 679.74, "word": " الأنصر", "probability": 0.826171875}, {"start": 679.74, "end": 680.16, "word": " التالت", "probability": 0.9703776041666666}, {"start": 680.16, "end": 680.3, "word": " اللي", "probability": 0.868408203125}, {"start": 680.3, "end": 680.38, "word": " بيقول", "probability": 0.7841796875}, {"start": 680.38, "end": 680.94, "word": " المجموعة", "probability": 0.96162109375}, {"start": 680.94, "end": 681.72, "word": " طلع", "probability": 0.8712565104166666}, {"start": 681.72, "end": 682.0, "word": " A", "probability": 0.7587890625}, {"start": 682.0, "end": 682.4, "word": " سالب", "probability": 0.694580078125}, {"start": 682.4, "end": 682.66, "word": " C", "probability": 0.96826171875}, {"start": 682.66, "end": 683.44, "word": " هذا", "probability": 0.841796875}, {"start": 683.44, "end": 684.0, "word": " معناه", "probability": 0.9889322916666666}, {"start": 684.0, "end": 684.36, "word": " مادام", "probability": 0.6597493489583334}, {"start": 684.36, "end": 684.82, "word": " الفرخ", "probability": 0.7374674479166666}, {"start": 684.82, "end": 685.08, "word": " هذا", "probability": 0.72900390625}, {"start": 685.08, "end": 685.66, "word": " تملى", "probability": 0.5025634765625}, {"start": 685.66, "end": 686.0, "word": " P", "probability": 0.7607421875}, {"start": 686.0, "end": 687.18, "word": " معناته", "probability": 0.8434244791666666}, {"start": 687.18, "end": 688.32, "word": " الفرخ", "probability": 0.9734700520833334}, {"start": 688.32, "end": 688.56, "word": " هذا", "probability": 0.7529296875}, {"start": 688.56, "end": 689.08, "word": " موجب", "probability": 0.9549153645833334}, {"start": 689.08, "end": 689.44, "word": " أو", "probability": 0.77099609375}, {"start": 689.44, "end": 689.78, "word": " A", "probability": 0.884765625}, {"start": 689.78, "end": 690.22, "word": " أكبر", "probability": 0.9453125}, {"start": 690.22, "end": 690.46, "word": " من", "probability": 0.98388671875}, {"start": 690.46, "end": 690.82, "word": " C", "probability": 0.97607421875}, {"start": 690.82, "end": 692.2, "word": " as", "probability": 0.826171875}, {"start": 692.2, "end": 692.76, "word": " required", "probability": 0.81591796875}, {"start": 692.76, "end": 693.18, "word": " كما", "probability": 0.889404296875}, {"start": 693.18, "end": 693.38, "word": " هو", "probability": 0.99462890625}, {"start": 693.38, "end": 693.9, "word": " مطلوب،", "probability": 0.82578125}, {"start": 693.9, "end": 694.86, "word": " مظبوط؟", "probability": 0.8692220052083334}, {"start": 694.86, "end": 697.42, "word": " واضح؟", "probability": 0.79425048828125}, {"start": 697.42, "end": 698.04, "word": " طيب", "probability": 0.9775390625}], "temperature": 1.0}, {"id": 27, "seek": 72560, "start": 702.86, "end": 725.6, "text": "أي عدد حقيقي له واحد من تلت احتمالات اما موجب او سفر او سالب الان بناء على هذه الخاصية ممكن نثبت الخاصية الثلاثية الخاصية بي", "tokens": [10721, 1829, 6225, 3215, 3215, 11331, 38436, 38436, 46740, 36764, 24401, 9154, 6055, 1211, 2655, 1975, 33753, 2304, 6027, 9307, 1975, 15042, 3714, 29245, 3555, 1975, 2407, 8608, 5172, 2288, 1975, 2407, 8608, 6027, 3555, 2423, 7649, 44945, 16606, 15844, 29538, 33962, 33546, 10632, 3714, 43020, 8717, 12984, 3555, 2655, 33962, 33546, 10632, 6024, 104, 1211, 5718, 104, 10632, 33962, 33546, 10632, 4724, 1829], "avg_logprob": -0.27355769230769234, "compression_ratio": 1.696969696969697, "no_speech_prob": 0.0, "words": [{"start": 702.86, "end": 704.22, "word": "أي", "probability": 0.3586578369140625}, {"start": 704.22, "end": 705.58, "word": " عدد", "probability": 0.8929036458333334}, {"start": 705.58, "end": 706.28, "word": " حقيقي", "probability": 0.9754231770833334}, {"start": 706.28, "end": 706.86, "word": " له", "probability": 0.267578125}, {"start": 706.86, "end": 707.28, "word": " واحد", "probability": 0.831298828125}, {"start": 707.28, "end": 707.44, "word": " من", "probability": 0.99072265625}, {"start": 707.44, "end": 707.72, "word": " تلت", "probability": 0.7218424479166666}, {"start": 707.72, "end": 708.42, "word": " احتمالات", "probability": 0.9404296875}, {"start": 708.42, "end": 708.78, "word": " اما", "probability": 0.6053466796875}, {"start": 708.78, "end": 709.7, "word": " موجب", "probability": 0.87841796875}, {"start": 709.7, "end": 709.94, "word": " او", "probability": 0.879150390625}, {"start": 709.94, "end": 710.32, "word": " سفر", "probability": 0.8610026041666666}, {"start": 710.32, "end": 710.52, "word": " او", "probability": 0.959228515625}, {"start": 710.52, "end": 710.98, "word": " سالب", "probability": 0.8543294270833334}, {"start": 710.98, "end": 713.06, "word": " الان", "probability": 0.531036376953125}, {"start": 713.06, "end": 713.8, "word": " بناء", "probability": 0.78466796875}, {"start": 713.8, "end": 714.02, "word": " على", "probability": 0.83642578125}, {"start": 714.02, "end": 714.34, "word": " هذه", "probability": 0.96337890625}, {"start": 714.34, "end": 715.02, "word": " الخاصية", "probability": 0.9381510416666666}, {"start": 715.02, "end": 716.12, "word": " ممكن", "probability": 0.856689453125}, {"start": 716.12, "end": 716.72, "word": " نثبت", "probability": 0.8944091796875}, {"start": 716.72, "end": 717.52, "word": " الخاصية", "probability": 0.9837239583333334}, {"start": 717.52, "end": 718.5, "word": " الثلاثية", "probability": 0.9052734375}, {"start": 718.5, "end": 721.94, "word": " الخاصية", "probability": 0.8248697916666666}, {"start": 721.94, "end": 725.6, "word": " بي", "probability": 0.5260009765625}], "temperature": 1.0}, {"id": 28, "seek": 75387, "start": 729.23, "end": 753.87, "text": "قلنا إن لو كان لأي عددين حقيقيين لأي عددين حقيقيين a و b، a أكبر من b أو a بساوي b أو a أصغر من b فالبرهان ذلك بيعتمد على ال try-cutting property اللي شفناها قبل شوية فأنا عندي", "tokens": [4587, 1211, 8315, 36145, 45164, 25961, 5296, 10721, 1829, 6225, 3215, 3215, 9957, 11331, 38436, 38436, 9957, 5296, 10721, 1829, 6225, 3215, 3215, 9957, 11331, 38436, 38436, 9957, 257, 4032, 272, 12399, 257, 5551, 4117, 26890, 9154, 272, 34051, 257, 4724, 3794, 995, 45865, 272, 34051, 257, 5551, 9381, 17082, 2288, 9154, 272, 6156, 6027, 26890, 3224, 7649, 29910, 23275, 4724, 1829, 34268, 2304, 3215, 15844, 2423, 853, 12, 6672, 783, 4707, 13672, 1829, 13412, 5172, 8315, 11296, 12174, 36150, 13412, 2407, 10632, 6156, 10721, 8315, 18871, 16254], "avg_logprob": -0.26176264312829867, "compression_ratio": 1.6123595505617978, "no_speech_prob": 0.0, "words": [{"start": 729.23, "end": 729.67, "word": "قلنا", "probability": 0.46630859375}, {"start": 729.67, "end": 729.87, "word": " إن", "probability": 0.34765625}, {"start": 729.87, "end": 730.09, "word": " لو", "probability": 0.56103515625}, {"start": 730.09, "end": 730.49, "word": " كان", "probability": 0.97900390625}, {"start": 730.49, "end": 730.93, "word": " لأي", "probability": 0.8680013020833334}, {"start": 730.93, "end": 731.43, "word": " عددين", "probability": 0.9132080078125}, {"start": 731.43, "end": 732.37, "word": " حقيقيين", "probability": 0.8035888671875}, {"start": 732.37, "end": 734.05, "word": " لأي", "probability": 0.7899576822916666}, {"start": 734.05, "end": 734.45, "word": " عددين", "probability": 0.9293212890625}, {"start": 734.45, "end": 735.03, "word": " حقيقيين", "probability": 0.9283447265625}, {"start": 735.03, "end": 735.19, "word": " a", "probability": 0.5009765625}, {"start": 735.19, "end": 735.35, "word": " و", "probability": 0.7568359375}, {"start": 735.35, "end": 735.95, "word": " b،", "probability": 0.33154296875}, {"start": 735.95, "end": 736.11, "word": " a", "probability": 0.80126953125}, {"start": 736.11, "end": 736.57, "word": " أكبر", "probability": 0.9685872395833334}, {"start": 736.57, "end": 736.77, "word": " من", "probability": 0.97705078125}, {"start": 736.77, "end": 736.99, "word": " b", "probability": 0.9658203125}, {"start": 736.99, "end": 737.27, "word": " أو", "probability": 0.9228515625}, {"start": 737.27, "end": 737.47, "word": " a", "probability": 0.974609375}, {"start": 737.47, "end": 737.95, "word": " بساوي", "probability": 0.8463134765625}, {"start": 737.95, "end": 738.27, "word": " b", "probability": 0.87548828125}, {"start": 738.27, "end": 738.59, "word": " أو", "probability": 0.9453125}, {"start": 738.59, "end": 738.81, "word": " a", "probability": 0.97998046875}, {"start": 738.81, "end": 739.31, "word": " أصغر", "probability": 0.992431640625}, {"start": 739.31, "end": 739.51, "word": " من", "probability": 0.99365234375}, {"start": 739.51, "end": 739.75, "word": " b", "probability": 0.97021484375}, {"start": 739.75, "end": 742.91, "word": " فالبرهان", "probability": 0.920703125}, {"start": 742.91, "end": 743.53, "word": " ذلك", "probability": 0.9892578125}, {"start": 743.53, "end": 745.07, "word": " بيعتمد", "probability": 0.87470703125}, {"start": 745.07, "end": 745.39, "word": " على", "probability": 0.91748046875}, {"start": 745.39, "end": 745.57, "word": " ال", "probability": 0.82568359375}, {"start": 745.57, "end": 745.85, "word": " try", "probability": 0.5029296875}, {"start": 745.85, "end": 746.19, "word": "-cutting", "probability": 0.19327799479166666}, {"start": 746.19, "end": 746.71, "word": " property", "probability": 0.79345703125}, {"start": 746.71, "end": 746.85, "word": " اللي", "probability": 0.85986328125}, {"start": 746.85, "end": 747.35, "word": " شفناها", "probability": 0.86376953125}, {"start": 747.35, "end": 747.79, "word": " قبل", "probability": 0.956787109375}, {"start": 747.79, "end": 748.43, "word": " شوية", "probability": 0.8203125}, {"start": 748.43, "end": 753.47, "word": " فأنا", "probability": 0.7798665364583334}, {"start": 753.47, "end": 753.87, "word": " عندي", "probability": 0.87841796875}], "temperature": 1.0}, {"id": 29, "seek": 78121, "start": 757.89, "end": 781.21, "text": "حسب الـ trichotomy property، لو أخدت الفرق هذا، هذا real number فأي real number إما positive أو بساوي سفر أو negative، صح؟ وهذا بكافئ، الكلام هذا بكافئ A سالب B ينتمي ل B بكافئ أنه الـ A أكبر من B", "tokens": [5016, 35457, 2423, 39184, 504, 480, 310, 8488, 4707, 12399, 45164, 5551, 9778, 3215, 2655, 27188, 2288, 4587, 23758, 12399, 23758, 957, 1230, 6156, 10721, 1829, 957, 1230, 11933, 15042, 3353, 34051, 4724, 3794, 995, 45865, 8608, 5172, 2288, 34051, 3671, 12399, 20328, 5016, 22807, 37037, 15730, 4724, 4117, 31845, 19986, 12399, 2423, 28820, 10943, 23758, 4724, 4117, 31845, 19986, 316, 8608, 6027, 3555, 363, 7251, 29399, 2304, 1829, 5296, 363, 4724, 4117, 31845, 19986, 14739, 3224, 2423, 39184, 316, 5551, 4117, 26890, 9154, 363], "avg_logprob": -0.20530523688987243, "compression_ratio": 1.5, "no_speech_prob": 0.0, "words": [{"start": 757.89, "end": 758.41, "word": "حسب", "probability": 0.865966796875}, {"start": 758.41, "end": 758.69, "word": " الـ", "probability": 0.4697265625}, {"start": 758.69, "end": 759.13, "word": " trichotomy", "probability": 0.6727294921875}, {"start": 759.13, "end": 759.87, "word": " property،", "probability": 0.54052734375}, {"start": 759.87, "end": 759.99, "word": " لو", "probability": 0.8603515625}, {"start": 759.99, "end": 760.41, "word": " أخدت", "probability": 0.9700927734375}, {"start": 760.41, "end": 760.91, "word": " الفرق", "probability": 0.9806315104166666}, {"start": 760.91, "end": 761.31, "word": " هذا،", "probability": 0.779296875}, {"start": 761.31, "end": 761.49, "word": " هذا", "probability": 0.79736328125}, {"start": 761.49, "end": 761.71, "word": " real", "probability": 0.63720703125}, {"start": 761.71, "end": 762.23, "word": " number", "probability": 0.98681640625}, {"start": 762.23, "end": 764.59, "word": " فأي", "probability": 0.9222005208333334}, {"start": 764.59, "end": 764.89, "word": " real", "probability": 0.9296875}, {"start": 764.89, "end": 765.33, "word": " number", "probability": 0.986328125}, {"start": 765.33, "end": 765.69, "word": " إما", "probability": 0.724853515625}, {"start": 765.69, "end": 766.33, "word": " positive", "probability": 0.916015625}, {"start": 766.33, "end": 766.85, "word": " أو", "probability": 0.97802734375}, {"start": 766.85, "end": 767.39, "word": " بساوي", "probability": 0.8818359375}, {"start": 767.39, "end": 767.89, "word": " سفر", "probability": 0.8248697916666666}, {"start": 767.89, "end": 768.87, "word": " أو", "probability": 0.98193359375}, {"start": 768.87, "end": 769.67, "word": " negative،", "probability": 0.87255859375}, {"start": 769.67, "end": 770.57, "word": " صح؟", "probability": 0.9778645833333334}, {"start": 770.57, "end": 772.63, "word": " وهذا", "probability": 0.76611328125}, {"start": 772.63, "end": 773.55, "word": " بكافئ،", "probability": 0.87890625}, {"start": 773.55, "end": 774.03, "word": " الكلام", "probability": 0.9710286458333334}, {"start": 774.03, "end": 774.39, "word": " هذا", "probability": 0.947265625}, {"start": 774.39, "end": 775.41, "word": " بكافئ", "probability": 0.995849609375}, {"start": 775.41, "end": 776.37, "word": " A", "probability": 0.2958984375}, {"start": 776.37, "end": 777.01, "word": " سالب", "probability": 0.8776041666666666}, {"start": 777.01, "end": 777.27, "word": " B", "probability": 0.377197265625}, {"start": 777.27, "end": 777.77, "word": " ينتمي", "probability": 0.8753662109375}, {"start": 777.77, "end": 777.85, "word": " ل", "probability": 0.8857421875}, {"start": 777.85, "end": 778.09, "word": " B", "probability": 0.40283203125}, {"start": 778.09, "end": 778.81, "word": " بكافئ", "probability": 0.935302734375}, {"start": 778.81, "end": 779.33, "word": " أنه", "probability": 0.5849609375}, {"start": 779.33, "end": 780.31, "word": " الـ", "probability": 0.75390625}, {"start": 780.31, "end": 780.43, "word": " A", "probability": 0.642578125}, {"start": 780.43, "end": 780.79, "word": " أكبر", "probability": 0.9718424479166666}, {"start": 780.79, "end": 780.99, "word": " من", "probability": 0.9677734375}, {"start": 780.99, "end": 781.21, "word": " B", "probability": 0.9580078125}], "temperature": 1.0}, {"id": 30, "seek": 81108, "start": 782.26, "end": 811.08, "text": "طب وهذا ينتمي لـ 0 بكافة أن a بساوي b أو الفرق بساوي 0 وبالتالي a بساوي b و الفرق هذا ينتمي ل negative b معناته الفرق هذا سالب يعني معناه أن a أصغر من b وهذا اللي بدنا إياه هذا اللي بدنا إياه طيب الجزء C قلنا اللي هو ال antisymmetry property", "tokens": [9566, 3555, 37037, 15730, 7251, 29399, 2304, 1829, 5296, 39184, 1958, 4724, 4117, 31845, 3660, 14739, 257, 4724, 3794, 995, 45865, 272, 34051, 27188, 2288, 4587, 4724, 3794, 995, 45865, 1958, 46599, 6027, 2655, 6027, 1829, 257, 4724, 3794, 995, 45865, 272, 4032, 27188, 2288, 4587, 23758, 7251, 29399, 2304, 1829, 5296, 3671, 272, 20449, 8315, 47395, 27188, 2288, 4587, 23758, 8608, 6027, 3555, 37495, 22653, 20449, 8315, 3224, 14739, 257, 5551, 9381, 17082, 2288, 9154, 272, 37037, 15730, 13672, 1829, 47525, 8315, 11933, 25528, 3224, 23758, 13672, 1829, 47525, 8315, 11933, 25528, 3224, 23032, 1829, 3555, 25724, 11622, 38207, 383, 12174, 1211, 8315, 13672, 1829, 31439, 2423, 2511, 14169, 2174, 9889, 4707], "avg_logprob": -0.22601425360169328, "compression_ratio": 1.9502487562189055, "no_speech_prob": 0.0, "words": [{"start": 782.26, "end": 782.56, "word": "طب", "probability": 0.400390625}, {"start": 782.56, "end": 782.94, "word": " وهذا", "probability": 0.757568359375}, {"start": 782.94, "end": 783.38, "word": " ينتمي", "probability": 0.954833984375}, {"start": 783.38, "end": 783.56, "word": " لـ", "probability": 0.6663818359375}, {"start": 783.56, "end": 783.8, "word": " 0", "probability": 0.50341796875}, {"start": 783.8, "end": 784.4, "word": " بكافة", "probability": 0.8544921875}, {"start": 784.4, "end": 784.6, "word": " أن", "probability": 0.66259765625}, {"start": 784.6, "end": 784.9, "word": " a", "probability": 0.39404296875}, {"start": 784.9, "end": 785.46, "word": " بساوي", "probability": 0.55224609375}, {"start": 785.46, "end": 785.76, "word": " b", "probability": 0.8759765625}, {"start": 785.76, "end": 786.84, "word": " أو", "probability": 0.47607421875}, {"start": 786.84, "end": 787.22, "word": " الفرق", "probability": 0.8333333333333334}, {"start": 787.22, "end": 787.62, "word": " بساوي", "probability": 0.8809814453125}, {"start": 787.62, "end": 787.98, "word": " 0", "probability": 0.60546875}, {"start": 787.98, "end": 788.96, "word": " وبالتالي", "probability": 0.8830078125}, {"start": 788.96, "end": 789.08, "word": " a", "probability": 0.9423828125}, {"start": 789.08, "end": 789.52, "word": " بساوي", "probability": 0.9642333984375}, {"start": 789.52, "end": 789.78, "word": " b", "probability": 0.96044921875}, {"start": 789.78, "end": 790.44, "word": " و", "probability": 0.433837890625}, {"start": 790.44, "end": 790.88, "word": " الفرق", "probability": 0.9466145833333334}, {"start": 790.88, "end": 791.08, "word": " هذا", "probability": 0.849609375}, {"start": 791.08, "end": 791.58, "word": " ينتمي", "probability": 0.984130859375}, {"start": 791.58, "end": 791.66, "word": " ل", "probability": 0.96923828125}, {"start": 791.66, "end": 791.98, "word": " negative", "probability": 0.6396484375}, {"start": 791.98, "end": 792.32, "word": " b", "probability": 0.658203125}, {"start": 792.32, "end": 792.76, "word": " معناته", "probability": 0.849609375}, {"start": 792.76, "end": 793.16, "word": " الفرق", "probability": 0.9690755208333334}, {"start": 793.16, "end": 793.38, "word": " هذا", "probability": 0.951171875}, {"start": 793.38, "end": 793.9, "word": " سالب", "probability": 0.857421875}, {"start": 793.9, "end": 794.74, "word": " يعني", "probability": 0.937744140625}, {"start": 794.74, "end": 795.34, "word": " معناه", "probability": 0.8513997395833334}, {"start": 795.34, "end": 795.62, "word": " أن", "probability": 0.853515625}, {"start": 795.62, "end": 796.18, "word": " a", "probability": 0.5166015625}, {"start": 796.18, "end": 796.74, "word": " أصغر", "probability": 0.978759765625}, {"start": 796.74, "end": 796.9, "word": " من", "probability": 0.9228515625}, {"start": 796.9, "end": 797.24, "word": " b", "probability": 0.9189453125}, {"start": 797.24, "end": 798.66, "word": " وهذا", "probability": 0.783935546875}, {"start": 798.66, "end": 798.78, "word": " اللي", "probability": 0.918701171875}, {"start": 798.78, "end": 799.08, "word": " بدنا", "probability": 0.942138671875}, {"start": 799.08, "end": 799.4, "word": " إياه", "probability": 0.6841227213541666}, {"start": 799.4, "end": 799.74, "word": " هذا", "probability": 0.282470703125}, {"start": 799.74, "end": 799.94, "word": " اللي", "probability": 0.9912109375}, {"start": 799.94, "end": 800.38, "word": " بدنا", "probability": 0.981201171875}, {"start": 800.38, "end": 801.76, "word": " إياه", "probability": 0.9713541666666666}, {"start": 801.76, "end": 805.62, "word": " طيب", "probability": 0.7953287760416666}, {"start": 805.62, "end": 806.16, "word": " الجزء", "probability": 0.9654947916666666}, {"start": 806.16, "end": 806.58, "word": " C", "probability": 0.62548828125}, {"start": 806.58, "end": 808.34, "word": " قلنا", "probability": 0.796875}, {"start": 808.34, "end": 808.6, "word": " اللي", "probability": 0.92578125}, {"start": 808.6, "end": 808.9, "word": " هو", "probability": 0.990234375}, {"start": 808.9, "end": 809.48, "word": " ال", "probability": 0.7451171875}, {"start": 809.48, "end": 810.48, "word": " antisymmetry", "probability": 0.69891357421875}, {"start": 810.48, "end": 811.08, "word": " property", "probability": 0.97412109375}], "temperature": 1.0}, {"id": 31, "seek": 83221, "start": 812.07, "end": 832.21, "text": "الـ Anti-symmetry property نفكركم فيها بتقول لو كان a أكبر من أو يساوي b and b أكبر من أو يساوي a فهذا بيعدي أن a بساوي b، بظبط؟ طيب", "tokens": [6027, 39184, 27757, 12, 3187, 2174, 9889, 4707, 8717, 5172, 37983, 24793, 8978, 11296, 39894, 39648, 45164, 25961, 257, 5551, 4117, 26890, 9154, 34051, 7251, 3794, 995, 45865, 272, 293, 272, 5551, 4117, 26890, 9154, 34051, 7251, 3794, 995, 45865, 257, 6156, 3224, 15730, 4724, 1829, 3615, 16254, 14739, 257, 4724, 3794, 995, 45865, 272, 12399, 4724, 19913, 3555, 9566, 22807, 23032, 1829, 3555], "avg_logprob": -0.20204326923076923, "compression_ratio": 1.4109589041095891, "no_speech_prob": 0.0, "words": [{"start": 812.07, "end": 812.39, "word": "الـ", "probability": 0.82568359375}, {"start": 812.39, "end": 812.65, "word": " Anti", "probability": 0.362548828125}, {"start": 812.65, "end": 813.19, "word": "-symmetry", "probability": 0.814697265625}, {"start": 813.19, "end": 813.71, "word": " property", "probability": 0.85791015625}, {"start": 813.71, "end": 814.57, "word": " نفكركم", "probability": 0.9058837890625}, {"start": 814.57, "end": 815.41, "word": " فيها", "probability": 0.979248046875}, {"start": 815.41, "end": 816.69, "word": " بتقول", "probability": 0.890380859375}, {"start": 816.69, "end": 816.93, "word": " لو", "probability": 0.90966796875}, {"start": 816.93, "end": 817.47, "word": " كان", "probability": 0.9833984375}, {"start": 817.47, "end": 817.99, "word": " a", "probability": 0.447021484375}, {"start": 817.99, "end": 820.61, "word": " أكبر", "probability": 0.92578125}, {"start": 820.61, "end": 820.85, "word": " من", "probability": 0.9794921875}, {"start": 820.85, "end": 821.03, "word": " أو", "probability": 0.95703125}, {"start": 821.03, "end": 821.65, "word": " يساوي", "probability": 0.85369873046875}, {"start": 821.65, "end": 822.09, "word": " b", "probability": 0.89990234375}, {"start": 822.09, "end": 822.95, "word": " and", "probability": 0.75}, {"start": 822.95, "end": 824.31, "word": " b", "probability": 0.92041015625}, {"start": 824.31, "end": 824.81, "word": " أكبر", "probability": 0.9814453125}, {"start": 824.81, "end": 824.99, "word": " من", "probability": 0.99658203125}, {"start": 824.99, "end": 825.19, "word": " أو", "probability": 0.9794921875}, {"start": 825.19, "end": 825.73, "word": " يساوي", "probability": 0.9024658203125}, {"start": 825.73, "end": 826.05, "word": " a", "probability": 0.98486328125}, {"start": 826.05, "end": 826.59, "word": " فهذا", "probability": 0.92431640625}, {"start": 826.59, "end": 827.19, "word": " بيعدي", "probability": 0.68408203125}, {"start": 827.19, "end": 828.39, "word": " أن", "probability": 0.60107421875}, {"start": 828.39, "end": 828.69, "word": " a", "probability": 0.94873046875}, {"start": 828.69, "end": 829.31, "word": " بساوي", "probability": 0.75555419921875}, {"start": 829.31, "end": 830.61, "word": " b،", "probability": 0.8125}, {"start": 830.61, "end": 831.69, "word": " بظبط؟", "probability": 0.721875}, {"start": 831.69, "end": 832.21, "word": " طيب", "probability": 0.97119140625}], "temperature": 1.0}, {"id": 32, "seek": 85479, "start": 837.15, "end": 854.79, "text": "أنا بدأ أثبت أن A بساوي B، هذه النتيجة، فبدأ أعمل برهان بالتناقض، فبرهان بالتناقض دائما نفرض مافيه النتيجة هو الصح، وبنفسها إلى التناقض، ف assume أن A لا تساوي B", "tokens": [10721, 8315, 47525, 10721, 5551, 12984, 3555, 2655, 14739, 316, 4724, 3794, 995, 45865, 363, 12399, 29538, 28239, 31371, 7435, 3660, 12399, 6156, 44510, 10721, 5551, 25957, 1211, 4724, 2288, 3224, 7649, 20666, 2655, 8315, 4587, 11242, 12399, 6156, 26890, 3224, 7649, 20666, 2655, 8315, 4587, 11242, 11778, 16373, 15042, 8717, 5172, 43042, 19446, 41185, 3224, 28239, 31371, 7435, 3660, 31439, 31767, 5016, 12399, 46599, 1863, 36178, 11296, 30731, 16712, 8315, 4587, 11242, 12399, 6156, 6552, 14739, 316, 20193, 6055, 3794, 995, 45865, 363], "avg_logprob": -0.2705882338916554, "compression_ratio": 1.7625, "no_speech_prob": 0.0, "words": [{"start": 837.15, "end": 837.47, "word": "أنا", "probability": 0.730224609375}, {"start": 837.47, "end": 837.83, "word": " بدأ", "probability": 0.439697265625}, {"start": 837.83, "end": 838.13, "word": " أثبت", "probability": 0.9139404296875}, {"start": 838.13, "end": 838.27, "word": " أن", "probability": 0.62890625}, {"start": 838.27, "end": 838.61, "word": " A", "probability": 0.354736328125}, {"start": 838.61, "end": 839.19, "word": " بساوي", "probability": 0.6099853515625}, {"start": 839.19, "end": 839.85, "word": " B،", "probability": 0.5966796875}, {"start": 839.85, "end": 840.39, "word": " هذه", "probability": 0.409912109375}, {"start": 840.39, "end": 841.73, "word": " النتيجة،", "probability": 0.85888671875}, {"start": 841.73, "end": 842.37, "word": " فبدأ", "probability": 0.7018229166666666}, {"start": 842.37, "end": 842.57, "word": " أعمل", "probability": 0.9124348958333334}, {"start": 842.57, "end": 842.93, "word": " برهان", "probability": 0.9278564453125}, {"start": 842.93, "end": 844.47, "word": " بالتناقض،", "probability": 0.9052734375}, {"start": 844.47, "end": 845.11, "word": " فبرهان", "probability": 0.8619384765625}, {"start": 845.11, "end": 845.81, "word": " بالتناقض", "probability": 0.98349609375}, {"start": 845.81, "end": 846.27, "word": " دائما", "probability": 0.85205078125}, {"start": 846.27, "end": 847.31, "word": " نفرض", "probability": 0.7525227864583334}, {"start": 847.31, "end": 847.75, "word": " مافيه", "probability": 0.528564453125}, {"start": 847.75, "end": 848.45, "word": " النتيجة", "probability": 0.9683837890625}, {"start": 848.45, "end": 848.85, "word": " هو", "probability": 0.8232421875}, {"start": 848.85, "end": 849.61, "word": " الصح،", "probability": 0.7945963541666666}, {"start": 849.61, "end": 850.07, "word": " وبنفسها", "probability": 0.58197021484375}, {"start": 850.07, "end": 850.21, "word": " إلى", "probability": 0.162109375}, {"start": 850.21, "end": 851.47, "word": " التناقض،", "probability": 0.8875}, {"start": 851.47, "end": 851.65, "word": " ف", "probability": 0.9404296875}, {"start": 851.65, "end": 852.19, "word": " assume", "probability": 0.67041015625}, {"start": 852.19, "end": 852.67, "word": " أن", "probability": 0.89111328125}, {"start": 852.67, "end": 853.11, "word": " A", "probability": 0.908203125}, {"start": 853.11, "end": 853.73, "word": " لا", "probability": 0.7607421875}, {"start": 853.73, "end": 854.55, "word": " تساوي", "probability": 0.9761962890625}, {"start": 854.55, "end": 854.79, "word": " B", "probability": 0.96044921875}], "temperature": 1.0}, {"id": 33, "seek": 88074, "start": 856.74, "end": 880.74, "text": "إذا حسب الخاصية الفلاثية هذا بيقدّي ان اما a أصغر من b or b أصغر من a، مظبوط؟ طيب إذا هنا .. الآن لو أخدت .. لو أخدت ال a أكبر من b اللي هو الاحتمال هذا", "tokens": [28814, 15730, 11331, 35457, 33962, 33546, 10632, 27188, 1211, 5718, 104, 10632, 23758, 4724, 1829, 28543, 11703, 1829, 16472, 1975, 15042, 257, 5551, 9381, 17082, 2288, 9154, 272, 420, 272, 5551, 9381, 17082, 2288, 9154, 257, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 23032, 1829, 3555, 11933, 15730, 34105, 4386, 6024, 48506, 45164, 5551, 9778, 3215, 2655, 4386, 45164, 5551, 9778, 3215, 2655, 2423, 257, 5551, 4117, 26890, 9154, 272, 13672, 1829, 31439, 42963, 33753, 2304, 6027, 23758], "avg_logprob": -0.19709256970429723, "compression_ratio": 1.5900621118012421, "no_speech_prob": 0.0, "words": [{"start": 856.74, "end": 857.02, "word": "إذا", "probability": 0.5999755859375}, {"start": 857.02, "end": 857.5, "word": " حسب", "probability": 0.960693359375}, {"start": 857.5, "end": 858.34, "word": " الخاصية", "probability": 0.93603515625}, {"start": 858.34, "end": 859.1, "word": " الفلاثية", "probability": 0.732958984375}, {"start": 859.1, "end": 860.0, "word": " هذا", "probability": 0.72607421875}, {"start": 860.0, "end": 860.78, "word": " بيقدّي", "probability": 0.706640625}, {"start": 860.78, "end": 861.5, "word": " ان", "probability": 0.26806640625}, {"start": 861.5, "end": 861.86, "word": " اما", "probability": 0.71630859375}, {"start": 861.86, "end": 862.3, "word": " a", "probability": 0.6455078125}, {"start": 862.3, "end": 863.04, "word": " أصغر", "probability": 0.95458984375}, {"start": 863.04, "end": 863.26, "word": " من", "probability": 0.98876953125}, {"start": 863.26, "end": 863.64, "word": " b", "probability": 0.96728515625}, {"start": 863.64, "end": 864.86, "word": " or", "probability": 0.265869140625}, {"start": 864.86, "end": 866.5, "word": " b", "probability": 0.75830078125}, {"start": 866.5, "end": 867.28, "word": " أصغر", "probability": 0.9891357421875}, {"start": 867.28, "end": 867.48, "word": " من", "probability": 0.99658203125}, {"start": 867.48, "end": 867.96, "word": " a،", "probability": 0.7578125}, {"start": 867.96, "end": 869.6, "word": " مظبوط؟", "probability": 0.8916015625}, {"start": 869.6, "end": 870.12, "word": " طيب", "probability": 0.9521484375}, {"start": 870.12, "end": 870.42, "word": " إذا", "probability": 0.6937255859375}, {"start": 870.42, "end": 870.8, "word": " هنا", "probability": 0.97216796875}, {"start": 870.8, "end": 871.1, "word": " ..", "probability": 0.453369140625}, {"start": 871.1, "end": 873.4, "word": " الآن", "probability": 0.6376953125}, {"start": 873.4, "end": 873.6, "word": " لو", "probability": 0.97314453125}, {"start": 873.6, "end": 874.14, "word": " أخدت", "probability": 0.9884033203125}, {"start": 874.14, "end": 874.82, "word": " ..", "probability": 0.826171875}, {"start": 874.82, "end": 876.9, "word": " لو", "probability": 0.9541015625}, {"start": 876.9, "end": 877.5, "word": " أخدت", "probability": 0.9925537109375}, {"start": 877.5, "end": 877.78, "word": " ال", "probability": 0.966796875}, {"start": 877.78, "end": 878.18, "word": " a", "probability": 0.8330078125}, {"start": 878.18, "end": 878.74, "word": " أكبر", "probability": 0.9747721354166666}, {"start": 878.74, "end": 878.96, "word": " من", "probability": 0.99560546875}, {"start": 878.96, "end": 879.22, "word": " b", "probability": 0.9853515625}, {"start": 879.22, "end": 879.48, "word": " اللي", "probability": 0.923583984375}, {"start": 879.48, "end": 879.72, "word": " هو", "probability": 0.99462890625}, {"start": 879.72, "end": 880.4, "word": " الاحتمال", "probability": 0.9417724609375}, {"start": 880.4, "end": 880.74, "word": " هذا", "probability": 0.96435546875}], "temperature": 1.0}, {"id": 34, "seek": 91076, "start": 882.58, "end": 910.76, "text": "لو أخدت .. لو قلت أن a أكبر من b فهذا بتناقض مع الفرض .. بتناقض مع الفرض أن a أصغر من .. a أصغر من أوسع من b هدول اتنين بيعطون التناقض طيب لو افترضت الاحتمال التاني أن a أصغر من b فهذا بتناقض مع الفرض أن a أكبر من", "tokens": [1211, 2407, 5551, 9778, 3215, 2655, 4386, 45164, 12174, 1211, 2655, 14739, 257, 5551, 4117, 26890, 9154, 272, 6156, 3224, 15730, 39894, 8315, 4587, 11242, 20449, 27188, 43042, 4386, 39894, 8315, 4587, 11242, 20449, 27188, 43042, 14739, 257, 5551, 9381, 17082, 2288, 9154, 4386, 257, 5551, 9381, 17082, 2288, 9154, 5551, 41779, 3615, 9154, 272, 8032, 3215, 12610, 1975, 2655, 1863, 9957, 4724, 40228, 9566, 11536, 16712, 8315, 4587, 11242, 23032, 1829, 3555, 45164, 1975, 5172, 2655, 43042, 2655, 42963, 33753, 2304, 6027, 16712, 7649, 1829, 14739, 257, 5551, 9381, 17082, 2288, 9154, 272, 6156, 3224, 15730, 39894, 8315, 4587, 11242, 20449, 27188, 43042, 14739, 257, 5551, 4117, 26890, 9154], "avg_logprob": -0.15878378002493232, "compression_ratio": 2.234567901234568, "no_speech_prob": 0.0, "words": [{"start": 882.58, "end": 882.94, "word": "لو", "probability": 0.912841796875}, {"start": 882.94, "end": 883.44, "word": " أخدت", "probability": 0.7869873046875}, {"start": 883.44, "end": 883.6, "word": " ..", "probability": 0.68505859375}, {"start": 883.6, "end": 883.72, "word": " لو", "probability": 0.9072265625}, {"start": 883.72, "end": 884.06, "word": " قلت", "probability": 0.7574869791666666}, {"start": 884.06, "end": 884.22, "word": " أن", "probability": 0.445068359375}, {"start": 884.22, "end": 884.54, "word": " a", "probability": 0.4384765625}, {"start": 884.54, "end": 885.1, "word": " أكبر", "probability": 0.9617513020833334}, {"start": 885.1, "end": 885.3, "word": " من", "probability": 0.98486328125}, {"start": 885.3, "end": 885.6, "word": " b", "probability": 0.921875}, {"start": 885.6, "end": 886.88, "word": " فهذا", "probability": 0.9641927083333334}, {"start": 886.88, "end": 887.58, "word": " بتناقض", "probability": 0.9061279296875}, {"start": 887.58, "end": 887.82, "word": " مع", "probability": 0.9873046875}, {"start": 887.82, "end": 888.42, "word": " الفرض", "probability": 0.917236328125}, {"start": 888.42, "end": 889.52, "word": " ..", "probability": 0.474365234375}, {"start": 889.52, "end": 890.12, "word": " بتناقض", "probability": 0.9412841796875}, {"start": 890.12, "end": 890.32, "word": " مع", "probability": 0.99462890625}, {"start": 890.32, "end": 890.88, "word": " الفرض", "probability": 0.97509765625}, {"start": 890.88, "end": 892.08, "word": " أن", "probability": 0.80810546875}, {"start": 892.08, "end": 892.74, "word": " a", "probability": 0.97412109375}, {"start": 892.74, "end": 893.46, "word": " أصغر", "probability": 0.9869384765625}, {"start": 893.46, "end": 893.7, "word": " من", "probability": 0.9794921875}, {"start": 893.7, "end": 894.14, "word": " ..", "probability": 0.60986328125}, {"start": 894.14, "end": 894.72, "word": " a", "probability": 0.8720703125}, {"start": 894.72, "end": 895.16, "word": " أصغر", "probability": 0.992919921875}, {"start": 895.16, "end": 895.32, "word": " من", "probability": 0.9931640625}, {"start": 895.32, "end": 895.72, "word": " أوسع", "probability": 0.642578125}, {"start": 895.72, "end": 895.88, "word": " من", "probability": 0.51318359375}, {"start": 895.88, "end": 896.0, "word": " b", "probability": 0.7998046875}, {"start": 896.0, "end": 898.62, "word": " هدول", "probability": 0.8024088541666666}, {"start": 898.62, "end": 898.96, "word": " اتنين", "probability": 0.83367919921875}, {"start": 898.96, "end": 899.36, "word": " بيعطون", "probability": 0.7412109375}, {"start": 899.36, "end": 900.18, "word": " التناقض", "probability": 0.84893798828125}, {"start": 900.18, "end": 901.16, "word": " طيب", "probability": 0.9401041666666666}, {"start": 901.16, "end": 901.52, "word": " لو", "probability": 0.433349609375}, {"start": 901.52, "end": 902.08, "word": " افترضت", "probability": 0.90107421875}, {"start": 902.08, "end": 902.68, "word": " الاحتمال", "probability": 0.9246826171875}, {"start": 902.68, "end": 903.14, "word": " التاني", "probability": 0.9671223958333334}, {"start": 903.14, "end": 903.4, "word": " أن", "probability": 0.873046875}, {"start": 903.4, "end": 903.74, "word": " a", "probability": 0.98974609375}, {"start": 903.74, "end": 904.3, "word": " أصغر", "probability": 0.9925537109375}, {"start": 904.3, "end": 904.5, "word": " من", "probability": 0.9970703125}, {"start": 904.5, "end": 904.8, "word": " b", "probability": 0.98974609375}, {"start": 904.8, "end": 906.4, "word": " فهذا", "probability": 0.9899088541666666}, {"start": 906.4, "end": 907.1, "word": " بتناقض", "probability": 0.95654296875}, {"start": 907.1, "end": 907.54, "word": " مع", "probability": 0.99365234375}, {"start": 907.54, "end": 908.76, "word": " الفرض", "probability": 0.97705078125}, {"start": 908.76, "end": 909.26, "word": " أن", "probability": 0.92919921875}, {"start": 909.26, "end": 909.74, "word": " a", "probability": 0.99365234375}, {"start": 909.74, "end": 910.38, "word": " أكبر", "probability": 0.9798177083333334}, {"start": 910.38, "end": 910.76, "word": " من", "probability": 0.99755859375}], "temperature": 1.0}, {"id": 35, "seek": 93889, "start": 911.35, "end": 938.89, "text": "أو يساوي الـ B إذا في الحالتين لو فرضت هذا صح بتناقض مع هذا الجزء لو فرضت هذا صح بتناقض مع هذا الجزء اللي هو جزء من الفرض وبالتالي في كلتا الحالتين الفرض أن A لا يساوي B أدى إلى تناقض إذا الصح أن A لازم تساوي B كما هو مطلوب okay هذا برهان بالتناقض", "tokens": [10721, 2407, 7251, 3794, 995, 45865, 2423, 39184, 363, 11933, 15730, 8978, 21542, 6027, 2655, 9957, 45164, 6156, 43042, 2655, 23758, 20328, 5016, 39894, 8315, 4587, 11242, 20449, 23758, 25724, 11622, 38207, 45164, 6156, 43042, 2655, 23758, 20328, 5016, 39894, 8315, 4587, 11242, 20449, 23758, 25724, 11622, 38207, 13672, 1829, 31439, 10874, 11622, 38207, 9154, 27188, 43042, 46599, 6027, 2655, 6027, 1829, 8978, 28242, 2655, 995, 21542, 6027, 2655, 9957, 27188, 43042, 14739, 316, 20193, 7251, 3794, 995, 45865, 363, 5551, 3215, 7578, 30731, 6055, 8315, 4587, 11242, 11933, 15730, 31767, 5016, 14739, 316, 5296, 31377, 2304, 6055, 3794, 995, 45865, 363, 9122, 15042, 31439, 3714, 9566, 1211, 37746, 1392, 23758, 4724, 2288, 3224, 7649, 20666, 2655, 8315, 4587, 11242], "avg_logprob": -0.16128616392119857, "compression_ratio": 2.1878172588832485, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 911.35, "end": 911.71, "word": "أو", "probability": 0.6251220703125}, {"start": 911.71, "end": 912.49, "word": " يساوي", "probability": 0.8712158203125}, {"start": 912.49, "end": 913.05, "word": " الـ", "probability": 0.66650390625}, {"start": 913.05, "end": 913.13, "word": " B", "probability": 0.389404296875}, {"start": 913.13, "end": 915.03, "word": " إذا", "probability": 0.46185302734375}, {"start": 915.03, "end": 915.21, "word": " في", "probability": 0.80859375}, {"start": 915.21, "end": 915.95, "word": " الحالتين", "probability": 0.968994140625}, {"start": 915.95, "end": 916.73, "word": " لو", "probability": 0.457275390625}, {"start": 916.73, "end": 917.19, "word": " فرضت", "probability": 0.9773763020833334}, {"start": 917.19, "end": 917.39, "word": " هذا", "probability": 0.9091796875}, {"start": 917.39, "end": 917.79, "word": " صح", "probability": 0.9931640625}, {"start": 917.79, "end": 919.73, "word": " بتناقض", "probability": 0.74267578125}, {"start": 919.73, "end": 919.93, "word": " مع", "probability": 0.9853515625}, {"start": 919.93, "end": 920.23, "word": " هذا", "probability": 0.9111328125}, {"start": 920.23, "end": 920.55, "word": " الجزء", "probability": 0.90625}, {"start": 920.55, "end": 920.79, "word": " لو", "probability": 0.5615234375}, {"start": 920.79, "end": 921.21, "word": " فرضت", "probability": 0.9918619791666666}, {"start": 921.21, "end": 921.41, "word": " هذا", "probability": 0.98486328125}, {"start": 921.41, "end": 921.79, "word": " صح", "probability": 0.995849609375}, {"start": 921.79, "end": 922.85, "word": " بتناقض", "probability": 0.9383544921875}, {"start": 922.85, "end": 923.69, "word": " مع", "probability": 0.990234375}, {"start": 923.69, "end": 923.97, "word": " هذا", "probability": 0.97900390625}, {"start": 923.97, "end": 924.43, "word": " الجزء", "probability": 0.9612630208333334}, {"start": 924.43, "end": 924.87, "word": " اللي", "probability": 0.9384765625}, {"start": 924.87, "end": 925.01, "word": " هو", "probability": 0.99267578125}, {"start": 925.01, "end": 925.27, "word": " جزء", "probability": 0.9933268229166666}, {"start": 925.27, "end": 925.41, "word": " من", "probability": 0.9912109375}, {"start": 925.41, "end": 925.79, "word": " الفرض", "probability": 0.931884765625}, {"start": 925.79, "end": 926.61, "word": " وبالتالي", "probability": 0.94169921875}, {"start": 926.61, "end": 927.13, "word": " في", "probability": 0.95849609375}, {"start": 927.13, "end": 927.57, "word": " كلتا", "probability": 0.6793619791666666}, {"start": 927.57, "end": 928.21, "word": " الحالتين", "probability": 0.992919921875}, {"start": 928.21, "end": 929.35, "word": " الفرض", "probability": 0.94775390625}, {"start": 929.35, "end": 929.55, "word": " أن", "probability": 0.407470703125}, {"start": 929.55, "end": 929.77, "word": " A", "probability": 0.31787109375}, {"start": 929.77, "end": 929.97, "word": " لا", "probability": 0.8701171875}, {"start": 929.97, "end": 930.49, "word": " يساوي", "probability": 0.937255859375}, {"start": 930.49, "end": 930.71, "word": " B", "probability": 0.82470703125}, {"start": 930.71, "end": 931.27, "word": " أدى", "probability": 0.9471028645833334}, {"start": 931.27, "end": 931.47, "word": " إلى", "probability": 0.92529296875}, {"start": 931.47, "end": 932.07, "word": " تناقض", "probability": 0.980712890625}, {"start": 932.07, "end": 933.07, "word": " إذا", "probability": 0.749267578125}, {"start": 933.07, "end": 933.55, "word": " الصح", "probability": 0.88818359375}, {"start": 933.55, "end": 933.73, "word": " أن", "probability": 0.79833984375}, {"start": 933.73, "end": 933.95, "word": " A", "probability": 0.96337890625}, {"start": 933.95, "end": 934.31, "word": " لازم", "probability": 0.8829752604166666}, {"start": 934.31, "end": 934.77, "word": " تساوي", "probability": 0.84649658203125}, {"start": 934.77, "end": 935.05, "word": " B", "probability": 0.888671875}, {"start": 935.05, "end": 935.85, "word": " كما", "probability": 0.97607421875}, {"start": 935.85, "end": 936.03, "word": " هو", "probability": 0.99169921875}, {"start": 936.03, "end": 936.51, "word": " مطلوب", "probability": 0.9549560546875}, {"start": 936.51, "end": 936.99, "word": " okay", "probability": 0.3349609375}, {"start": 936.99, "end": 937.55, "word": " هذا", "probability": 0.708984375}, {"start": 937.55, "end": 937.97, "word": " برهان", "probability": 0.9451904296875}, {"start": 937.97, "end": 938.89, "word": " بالتناقض", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 36, "seek": 96722, "start": 939.68, "end": 967.22, "text": "واضح تمام مفهوم فاهمين ولا هيك يعني أمور سهلة وبسيطة وكلها يعني مبادئ رياضيات احنا هنا يعني مراجعة لمبادئ رياضيات أو طرق البرهان في مبادئ رياضيات طيب الآن بنثبت القصية F", "tokens": [2407, 46958, 5016, 46811, 10943, 3714, 5172, 3224, 20498, 6156, 995, 16095, 9957, 49429, 39896, 4117, 37495, 22653, 5551, 2304, 13063, 8608, 3224, 37977, 46599, 3794, 1829, 9566, 3660, 4032, 28820, 11296, 37495, 22653, 3714, 3555, 18513, 19986, 12602, 1829, 46958, 1829, 9307, 1975, 5016, 8315, 34105, 37495, 22653, 3714, 2288, 26108, 27884, 5296, 2304, 3555, 18513, 19986, 12602, 1829, 46958, 1829, 9307, 34051, 23032, 2288, 4587, 2423, 26890, 3224, 7649, 8978, 3714, 3555, 18513, 19986, 12602, 1829, 46958, 1829, 9307, 23032, 1829, 3555, 6024, 48506, 44945, 12984, 3555, 2655, 25062, 9381, 10632, 479], "avg_logprob": -0.14498355608237418, "compression_ratio": 1.883435582822086, "no_speech_prob": 0.0, "words": [{"start": 939.68, "end": 940.16, "word": "واضح", "probability": 0.96044921875}, {"start": 940.16, "end": 940.6, "word": " تمام", "probability": 0.941162109375}, {"start": 940.6, "end": 941.16, "word": " مفهوم", "probability": 0.804412841796875}, {"start": 941.16, "end": 942.88, "word": " فاهمين", "probability": 0.822265625}, {"start": 942.88, "end": 943.1, "word": " ولا", "probability": 0.7724609375}, {"start": 943.1, "end": 943.58, "word": " هيك", "probability": 0.90478515625}, {"start": 943.58, "end": 943.9, "word": " يعني", "probability": 0.5833740234375}, {"start": 943.9, "end": 947.74, "word": " أمور", "probability": 0.9052734375}, {"start": 947.74, "end": 948.08, "word": " سهلة", "probability": 0.9658203125}, {"start": 948.08, "end": 948.76, "word": " وبسيطة", "probability": 0.896484375}, {"start": 948.76, "end": 949.2, "word": " وكلها", "probability": 0.7880859375}, {"start": 949.2, "end": 949.52, "word": " يعني", "probability": 0.9130859375}, {"start": 949.52, "end": 950.82, "word": " مبادئ", "probability": 0.9854736328125}, {"start": 950.82, "end": 951.62, "word": " رياضيات", "probability": 0.96494140625}, {"start": 951.62, "end": 952.28, "word": " احنا", "probability": 0.865234375}, {"start": 952.28, "end": 952.5, "word": " هنا", "probability": 0.85302734375}, {"start": 952.5, "end": 953.04, "word": " يعني", "probability": 0.949951171875}, {"start": 953.04, "end": 953.94, "word": " مراجعة", "probability": 0.9715576171875}, {"start": 953.94, "end": 955.1, "word": " لمبادئ", "probability": 0.8697265625}, {"start": 955.1, "end": 955.84, "word": " رياضيات", "probability": 0.98779296875}, {"start": 955.84, "end": 957.08, "word": " أو", "probability": 0.6259765625}, {"start": 957.08, "end": 957.42, "word": " طرق", "probability": 0.9039713541666666}, {"start": 957.42, "end": 958.08, "word": " البرهان", "probability": 0.849609375}, {"start": 958.08, "end": 958.36, "word": " في", "probability": 0.95166015625}, {"start": 958.36, "end": 958.84, "word": " مبادئ", "probability": 0.9906005859375}, {"start": 958.84, "end": 959.6, "word": " رياضيات", "probability": 0.97626953125}, {"start": 959.6, "end": 963.68, "word": " طيب", "probability": 0.9609375}, {"start": 963.68, "end": 965.26, "word": " الآن", "probability": 0.676025390625}, {"start": 965.26, "end": 966.12, "word": " بنثبت", "probability": 0.8564453125}, {"start": 966.12, "end": 966.84, "word": " القصية", "probability": 0.6905924479166666}, {"start": 966.84, "end": 967.22, "word": " F", "probability": 0.7333984375}], "temperature": 1.0}, {"id": 37, "seek": 100213, "start": 973.43, "end": 1002.13, "text": "لأي عدد حقيقي لا يساوي سفر دائما مربع و بيطلع موجب فعشان أثبت مربع ال a موجب لازم أثبت ان مربع ال a ينتمي لفئة او مجموعة العداد الموجبة طيب احنا فرضين a لايساوي سفر اذا by tricotomy property بالخاصية التلاتية اما a موجب او سالب يعني معناه هذا او هذا الان", "tokens": [1211, 10721, 1829, 6225, 3215, 3215, 11331, 38436, 38436, 20193, 7251, 3794, 995, 45865, 8608, 5172, 2288, 11778, 16373, 15042, 3714, 25513, 3615, 4032, 4724, 1829, 9566, 1211, 3615, 3714, 29245, 3555, 6156, 3615, 8592, 7649, 5551, 12984, 3555, 2655, 3714, 25513, 3615, 2423, 257, 3714, 29245, 3555, 5296, 31377, 2304, 5551, 12984, 3555, 2655, 16472, 3714, 25513, 3615, 2423, 257, 7251, 29399, 2304, 1829, 5296, 5172, 19986, 3660, 1975, 2407, 3714, 7435, 2304, 2407, 27884, 18863, 3215, 18513, 9673, 29245, 49401, 23032, 1829, 3555, 1975, 5016, 8315, 6156, 43042, 9957, 257, 20193, 1829, 3794, 995, 45865, 8608, 5172, 2288, 1975, 15730, 538, 504, 299, 310, 8488, 4707, 20666, 9778, 33546, 10632, 16712, 1211, 9307, 10632, 1975, 15042, 257, 3714, 29245, 3555, 1975, 2407, 8608, 6027, 3555, 37495, 22653, 20449, 8315, 3224, 23758, 1975, 2407, 23758, 2423, 7649], "avg_logprob": -0.16659172018654914, "compression_ratio": 1.8389830508474576, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 973.43, "end": 974.15, "word": "لأي", "probability": 0.8225911458333334}, {"start": 974.15, "end": 974.57, "word": " عدد", "probability": 0.986328125}, {"start": 974.57, "end": 975.17, "word": " حقيقي", "probability": 0.97802734375}, {"start": 975.17, "end": 975.33, "word": " لا", "probability": 0.77587890625}, {"start": 975.33, "end": 975.73, "word": " يساوي", "probability": 0.8055419921875}, {"start": 975.73, "end": 976.13, "word": " سفر", "probability": 0.765869140625}, {"start": 976.13, "end": 976.57, "word": " دائما", "probability": 0.7731119791666666}, {"start": 976.57, "end": 977.13, "word": " مربع", "probability": 0.93701171875}, {"start": 977.13, "end": 977.23, "word": " و", "probability": 0.64501953125}, {"start": 977.23, "end": 977.57, "word": " بيطلع", "probability": 0.7366455078125}, {"start": 977.57, "end": 978.05, "word": " موجب", "probability": 0.98095703125}, {"start": 978.05, "end": 979.07, "word": " فعشان", "probability": 0.8995361328125}, {"start": 979.07, "end": 979.39, "word": " أثبت", "probability": 0.9422607421875}, {"start": 979.39, "end": 979.93, "word": " مربع", "probability": 0.96630859375}, {"start": 979.93, "end": 980.13, "word": " ال", "probability": 0.7744140625}, {"start": 980.13, "end": 980.31, "word": " a", "probability": 0.25634765625}, {"start": 980.31, "end": 980.83, "word": " موجب", "probability": 0.9925130208333334}, {"start": 980.83, "end": 981.17, "word": " لازم", "probability": 0.96435546875}, {"start": 981.17, "end": 981.49, "word": " أثبت", "probability": 0.96826171875}, {"start": 981.49, "end": 981.63, "word": " ان", "probability": 0.404052734375}, {"start": 981.63, "end": 982.09, "word": " مربع", "probability": 0.96923828125}, {"start": 982.09, "end": 982.23, "word": " ال", "probability": 0.890625}, {"start": 982.23, "end": 982.33, "word": " a", "probability": 0.9521484375}, {"start": 982.33, "end": 982.99, "word": " ينتمي", "probability": 0.9383544921875}, {"start": 982.99, "end": 984.59, "word": " لفئة", "probability": 0.8193359375}, {"start": 984.59, "end": 985.15, "word": " او", "probability": 0.668701171875}, {"start": 985.15, "end": 985.55, "word": " مجموعة", "probability": 0.91982421875}, {"start": 985.55, "end": 986.07, "word": " العداد", "probability": 0.8785807291666666}, {"start": 986.07, "end": 987.59, "word": " الموجبة", "probability": 0.8670247395833334}, {"start": 987.59, "end": 989.73, "word": " طيب", "probability": 0.9329427083333334}, {"start": 989.73, "end": 990.31, "word": " احنا", "probability": 0.94873046875}, {"start": 990.31, "end": 990.89, "word": " فرضين", "probability": 0.9845377604166666}, {"start": 990.89, "end": 991.05, "word": " a", "probability": 0.87353515625}, {"start": 991.05, "end": 991.57, "word": " لايساوي", "probability": 0.8556640625}, {"start": 991.57, "end": 991.99, "word": " سفر", "probability": 0.9814453125}, {"start": 991.99, "end": 992.49, "word": " اذا", "probability": 0.855224609375}, {"start": 992.49, "end": 992.77, "word": " by", "probability": 0.71044921875}, {"start": 992.77, "end": 993.57, "word": " tricotomy", "probability": 0.6190032958984375}, {"start": 993.57, "end": 994.21, "word": " property", "probability": 0.96484375}, {"start": 994.21, "end": 994.95, "word": " بالخاصية", "probability": 0.94140625}, {"start": 994.95, "end": 995.47, "word": " التلاتية", "probability": 0.8111572265625}, {"start": 995.47, "end": 995.89, "word": " اما", "probability": 0.860107421875}, {"start": 995.89, "end": 996.25, "word": " a", "probability": 0.8681640625}, {"start": 996.25, "end": 997.57, "word": " موجب", "probability": 0.98193359375}, {"start": 997.57, "end": 998.23, "word": " او", "probability": 0.9189453125}, {"start": 998.23, "end": 998.77, "word": " سالب", "probability": 0.8513997395833334}, {"start": 998.77, "end": 999.39, "word": " يعني", "probability": 0.924072265625}, {"start": 999.39, "end": 999.77, "word": " معناه", "probability": 0.9440104166666666}, {"start": 999.77, "end": 999.99, "word": " هذا", "probability": 0.7744140625}, {"start": 999.99, "end": 1000.15, "word": " او", "probability": 0.926513671875}, {"start": 1000.15, "end": 1000.47, "word": " هذا", "probability": 0.970703125}, {"start": 1000.47, "end": 1002.13, "word": " الان", "probability": 0.7315673828125}], "temperature": 1.0}, {"id": 38, "seek": 103083, "start": 1002.42, "end": 1030.84, "text": "لو كانت ال A موجبة فمربع و ال P مغلقة تحت عملية الضرب فحاصل ضرب A في A اللي هو A تربية بيطلع ينتمي يعني هذا بيساوي A تربية ال A ينتمي ل P إذا حاصل الضرب ينتمي ل P وبالتالي A تربية موجبة okay وهذا اللي احنا عايزينه", "tokens": [1211, 2407, 25961, 2655, 2423, 316, 3714, 29245, 49401, 6156, 2304, 25513, 3615, 4032, 2423, 430, 3714, 17082, 1211, 28671, 6055, 33753, 6225, 42213, 10632, 6024, 114, 25513, 6156, 5016, 33546, 1211, 48812, 25513, 316, 8978, 316, 13672, 1829, 31439, 316, 6055, 25513, 10632, 4724, 1829, 9566, 1211, 3615, 7251, 29399, 2304, 1829, 37495, 22653, 23758, 4724, 1829, 3794, 995, 45865, 316, 6055, 25513, 10632, 2423, 316, 7251, 29399, 2304, 1829, 5296, 430, 11933, 15730, 11331, 33546, 1211, 6024, 114, 25513, 7251, 29399, 2304, 1829, 5296, 430, 46599, 6027, 2655, 6027, 1829, 316, 6055, 25513, 10632, 3714, 29245, 49401, 1392, 37037, 15730, 13672, 1829, 1975, 5016, 8315, 6225, 47302, 11622, 9957, 3224], "avg_logprob": -0.1807245511924271, "compression_ratio": 1.9361702127659575, "no_speech_prob": 0.0, "words": [{"start": 1002.42, "end": 1002.86, "word": "لو", "probability": 0.6451416015625}, {"start": 1002.86, "end": 1003.3, "word": " كانت", "probability": 0.907958984375}, {"start": 1003.3, "end": 1003.5, "word": " ال", "probability": 0.748046875}, {"start": 1003.5, "end": 1003.72, "word": " A", "probability": 0.2470703125}, {"start": 1003.72, "end": 1004.44, "word": " موجبة", "probability": 0.9500325520833334}, {"start": 1004.44, "end": 1007.34, "word": " فمربع", "probability": 0.6893310546875}, {"start": 1007.34, "end": 1008.62, "word": " و", "probability": 0.367919921875}, {"start": 1008.62, "end": 1010.16, "word": " ال", "probability": 0.420654296875}, {"start": 1010.16, "end": 1010.36, "word": " P", "probability": 0.93212890625}, {"start": 1010.36, "end": 1010.9, "word": " مغلقة", "probability": 0.9658203125}, {"start": 1010.9, "end": 1011.22, "word": " تحت", "probability": 0.978515625}, {"start": 1011.22, "end": 1011.6, "word": " عملية", "probability": 0.9876302083333334}, {"start": 1011.6, "end": 1011.96, "word": " الضرب", "probability": 0.8146158854166666}, {"start": 1011.96, "end": 1012.6, "word": " فحاصل", "probability": 0.8875732421875}, {"start": 1012.6, "end": 1012.92, "word": " ضرب", "probability": 0.97119140625}, {"start": 1012.92, "end": 1013.26, "word": " A", "probability": 0.67333984375}, {"start": 1013.26, "end": 1013.4, "word": " في", "probability": 0.8515625}, {"start": 1013.4, "end": 1013.66, "word": " A", "probability": 0.958984375}, {"start": 1013.66, "end": 1013.92, "word": " اللي", "probability": 0.84228515625}, {"start": 1013.92, "end": 1014.22, "word": " هو", "probability": 0.97802734375}, {"start": 1014.22, "end": 1014.5, "word": " A", "probability": 0.81005859375}, {"start": 1014.5, "end": 1015.1, "word": " تربية", "probability": 0.8621419270833334}, {"start": 1015.1, "end": 1016.44, "word": " بيطلع", "probability": 0.765576171875}, {"start": 1016.44, "end": 1017.12, "word": " ينتمي", "probability": 0.9737548828125}, {"start": 1017.12, "end": 1018.22, "word": " يعني", "probability": 0.83642578125}, {"start": 1018.22, "end": 1018.5, "word": " هذا", "probability": 0.93359375}, {"start": 1018.5, "end": 1019.28, "word": " بيساوي", "probability": 0.790380859375}, {"start": 1019.28, "end": 1019.82, "word": " A", "probability": 0.88037109375}, {"start": 1019.82, "end": 1020.44, "word": " تربية", "probability": 0.96728515625}, {"start": 1020.44, "end": 1023.58, "word": " ال", "probability": 0.888671875}, {"start": 1023.58, "end": 1023.82, "word": " A", "probability": 0.9775390625}, {"start": 1023.82, "end": 1024.32, "word": " ينتمي", "probability": 0.9864501953125}, {"start": 1024.32, "end": 1024.44, "word": " ل", "probability": 0.90478515625}, {"start": 1024.44, "end": 1024.64, "word": " P", "probability": 0.826171875}, {"start": 1024.64, "end": 1024.82, "word": " إذا", "probability": 0.621337890625}, {"start": 1024.82, "end": 1025.3, "word": " حاصل", "probability": 0.9498697916666666}, {"start": 1025.3, "end": 1025.64, "word": " الضرب", "probability": 0.8557942708333334}, {"start": 1025.64, "end": 1026.16, "word": " ينتمي", "probability": 0.9781494140625}, {"start": 1026.16, "end": 1026.3, "word": " ل", "probability": 0.95654296875}, {"start": 1026.3, "end": 1026.54, "word": " P", "probability": 0.9453125}, {"start": 1026.54, "end": 1027.46, "word": " وبالتالي", "probability": 0.9375}, {"start": 1027.46, "end": 1027.66, "word": " A", "probability": 0.9560546875}, {"start": 1027.66, "end": 1028.06, "word": " تربية", "probability": 0.9724934895833334}, {"start": 1028.06, "end": 1028.52, "word": " موجبة", "probability": 0.8115234375}, {"start": 1028.52, "end": 1029.66, "word": " okay", "probability": 0.281494140625}, {"start": 1029.66, "end": 1030.02, "word": " وهذا", "probability": 0.6737060546875}, {"start": 1030.02, "end": 1030.14, "word": " اللي", "probability": 0.980224609375}, {"start": 1030.14, "end": 1030.3, "word": " احنا", "probability": 0.8140462239583334}, {"start": 1030.3, "end": 1030.84, "word": " عايزينه", "probability": 0.9716796875}], "temperature": 1.0}, {"id": 39, "seek": 105466, "start": 1031.52, "end": 1054.66, "text": "الحالة التانية طب افرض انه negative A تنتمي ل P او A تنتمي ل negative P يعني A سالم ففي الحالة هذه لو ضربت هذا العنصر في نفسه بطلع ينتمي إلى ال P بطلع ينتمي إلى ال P وهذا بطلع بساوي من الخواص اللي أخدناها قبل هيك", "tokens": [6027, 5016, 6027, 3660, 16712, 7649, 10632, 23032, 3555, 1975, 5172, 43042, 16472, 3224, 3671, 316, 6055, 29399, 2304, 1829, 5296, 430, 1975, 2407, 316, 6055, 29399, 2304, 1829, 5296, 3671, 430, 37495, 22653, 316, 8608, 45340, 6156, 41185, 21542, 6027, 3660, 29538, 45164, 48812, 25513, 2655, 23758, 18863, 1863, 9381, 2288, 8978, 8717, 36178, 3224, 4724, 9566, 1211, 3615, 7251, 29399, 2304, 1829, 30731, 2423, 430, 4724, 9566, 1211, 3615, 7251, 29399, 2304, 1829, 30731, 2423, 430, 37037, 15730, 4724, 9566, 1211, 3615, 4724, 3794, 995, 45865, 9154, 33962, 2407, 33546, 13672, 1829, 5551, 9778, 3215, 8315, 11296, 12174, 36150, 39896, 4117], "avg_logprob": -0.15024039177940443, "compression_ratio": 1.8489583333333333, "no_speech_prob": 0.0, "words": [{"start": 1031.52, "end": 1032.08, "word": "الحالة", "probability": 0.9234619140625}, {"start": 1032.08, "end": 1032.58, "word": " التانية", "probability": 0.9817708333333334}, {"start": 1032.58, "end": 1033.06, "word": " طب", "probability": 0.65234375}, {"start": 1033.06, "end": 1033.42, "word": " افرض", "probability": 0.9573567708333334}, {"start": 1033.42, "end": 1034.02, "word": " انه", "probability": 0.6370849609375}, {"start": 1034.02, "end": 1035.72, "word": " negative", "probability": 0.7666015625}, {"start": 1035.72, "end": 1036.22, "word": " A", "probability": 0.3271484375}, {"start": 1036.22, "end": 1036.8, "word": " تنتمي", "probability": 0.960693359375}, {"start": 1036.8, "end": 1036.9, "word": " ل", "probability": 0.728515625}, {"start": 1036.9, "end": 1037.14, "word": " P", "probability": 0.7919921875}, {"start": 1037.14, "end": 1037.4, "word": " او", "probability": 0.7265625}, {"start": 1037.4, "end": 1037.6, "word": " A", "probability": 0.85595703125}, {"start": 1037.6, "end": 1038.12, "word": " تنتمي", "probability": 0.98876953125}, {"start": 1038.12, "end": 1038.18, "word": " ل", "probability": 0.96435546875}, {"start": 1038.18, "end": 1038.56, "word": " negative", "probability": 0.8984375}, {"start": 1038.56, "end": 1039.0, "word": " P", "probability": 0.96533203125}, {"start": 1039.0, "end": 1039.66, "word": " يعني", "probability": 0.863037109375}, {"start": 1039.66, "end": 1039.86, "word": " A", "probability": 0.8623046875}, {"start": 1039.86, "end": 1040.32, "word": " سالم", "probability": 0.831298828125}, {"start": 1040.32, "end": 1041.6, "word": " ففي", "probability": 0.89306640625}, {"start": 1041.6, "end": 1042.0, "word": " الحالة", "probability": 0.9886067708333334}, {"start": 1042.0, "end": 1042.38, "word": " هذه", "probability": 0.828125}, {"start": 1042.38, "end": 1043.2, "word": " لو", "probability": 0.93994140625}, {"start": 1043.2, "end": 1043.66, "word": " ضربت", "probability": 0.9651692708333334}, {"start": 1043.66, "end": 1043.86, "word": " هذا", "probability": 0.97705078125}, {"start": 1043.86, "end": 1044.4, "word": " العنصر", "probability": 0.978759765625}, {"start": 1044.4, "end": 1044.54, "word": " في", "probability": 0.90869140625}, {"start": 1044.54, "end": 1045.16, "word": " نفسه", "probability": 0.9977213541666666}, {"start": 1045.16, "end": 1045.78, "word": " بطلع", "probability": 0.820556640625}, {"start": 1045.78, "end": 1046.58, "word": " ينتمي", "probability": 0.9859619140625}, {"start": 1046.58, "end": 1047.82, "word": " إلى", "probability": 0.216552734375}, {"start": 1047.82, "end": 1048.16, "word": " ال", "probability": 0.80908203125}, {"start": 1048.16, "end": 1048.42, "word": " P", "probability": 0.97412109375}, {"start": 1048.42, "end": 1049.22, "word": " بطلع", "probability": 0.8245849609375}, {"start": 1049.22, "end": 1049.74, "word": " ينتمي", "probability": 0.98681640625}, {"start": 1049.74, "end": 1049.92, "word": " إلى", "probability": 0.74755859375}, {"start": 1049.92, "end": 1050.06, "word": " ال", "probability": 0.9423828125}, {"start": 1050.06, "end": 1050.32, "word": " P", "probability": 0.9951171875}, {"start": 1050.32, "end": 1050.82, "word": " وهذا", "probability": 0.80078125}, {"start": 1050.82, "end": 1051.2, "word": " بطلع", "probability": 0.94921875}, {"start": 1051.2, "end": 1051.94, "word": " بساوي", "probability": 0.873291015625}, {"start": 1051.94, "end": 1052.88, "word": " من", "probability": 0.95703125}, {"start": 1052.88, "end": 1053.32, "word": " الخواص", "probability": 0.859375}, {"start": 1053.32, "end": 1053.48, "word": " اللي", "probability": 0.9423828125}, {"start": 1053.48, "end": 1054.0, "word": " أخدناها", "probability": 0.844580078125}, {"start": 1054.0, "end": 1054.28, "word": " قبل", "probability": 0.8046875}, {"start": 1054.28, "end": 1054.66, "word": " هيك", "probability": 0.8193359375}], "temperature": 1.0}, {"id": 40, "seek": 107969, "start": 1055.33, "end": 1079.69, "text": "يعني هذا عبارة عن هذا سالب إيه بكتبه سالب واحد في إيه و سالب إيه التاني نفس الحاجة سالب واحد في إيه فبطلع سالب واحد في سالب واحد في إيه تربية و هذا واحد فبطلع إيه تربية تنتمي لدي وبالتالي إيه تربية موجبة إذا هنا أثبتنا إن أي عدد حقيقي مختلف عن السفر دائما مربع موجب", "tokens": [40228, 22653, 23758, 6225, 3555, 9640, 3660, 18871, 23758, 8608, 6027, 3555, 11933, 1829, 3224, 4724, 4117, 2655, 3555, 3224, 8608, 6027, 3555, 36764, 24401, 8978, 11933, 1829, 3224, 4032, 8608, 6027, 3555, 11933, 1829, 3224, 16712, 7649, 1829, 8717, 36178, 21542, 26108, 3660, 8608, 6027, 3555, 36764, 24401, 8978, 11933, 1829, 3224, 6156, 3555, 9566, 1211, 3615, 8608, 6027, 3555, 36764, 24401, 8978, 8608, 6027, 3555, 36764, 24401, 8978, 11933, 1829, 3224, 6055, 25513, 10632, 4032, 23758, 36764, 24401, 6156, 3555, 9566, 1211, 3615, 11933, 1829, 3224, 6055, 25513, 10632, 6055, 29399, 2304, 1829, 5296, 16254, 46599, 6027, 2655, 6027, 1829, 11933, 1829, 3224, 6055, 25513, 10632, 3714, 29245, 49401, 11933, 15730, 34105, 5551, 12984, 3555, 2655, 8315, 36145, 36632, 6225, 3215, 3215, 11331, 38436, 38436, 3714, 46456, 46538, 18871, 21136, 5172, 2288, 11778, 16373, 15042, 3714, 25513, 3615, 3714, 29245, 3555], "avg_logprob": -0.15364583022892475, "compression_ratio": 2.36318407960199, "no_speech_prob": 0.0, "words": [{"start": 1055.33, "end": 1055.71, "word": "يعني", "probability": 0.5443115234375}, {"start": 1055.71, "end": 1056.03, "word": " هذا", "probability": 0.765625}, {"start": 1056.03, "end": 1056.45, "word": " عبارة", "probability": 0.930908203125}, {"start": 1056.45, "end": 1056.57, "word": " عن", "probability": 0.8486328125}, {"start": 1056.57, "end": 1056.79, "word": " هذا", "probability": 0.80517578125}, {"start": 1056.79, "end": 1057.25, "word": " سالب", "probability": 0.79150390625}, {"start": 1057.25, "end": 1057.51, "word": " إيه", "probability": 0.7281494140625}, {"start": 1057.51, "end": 1058.37, "word": " بكتبه", "probability": 0.75361328125}, {"start": 1058.37, "end": 1058.73, "word": " سالب", "probability": 0.9168294270833334}, {"start": 1058.73, "end": 1059.09, "word": " واحد", "probability": 0.98291015625}, {"start": 1059.09, "end": 1059.25, "word": " في", "probability": 0.94921875}, {"start": 1059.25, "end": 1059.55, "word": " إيه", "probability": 0.8981119791666666}, {"start": 1059.55, "end": 1059.85, "word": " و", "probability": 0.466796875}, {"start": 1059.85, "end": 1060.19, "word": " سالب", "probability": 0.8268229166666666}, {"start": 1060.19, "end": 1060.33, "word": " إيه", "probability": 0.9329427083333334}, {"start": 1060.33, "end": 1060.67, "word": " التاني", "probability": 0.79052734375}, {"start": 1060.67, "end": 1060.97, "word": " نفس", "probability": 0.828857421875}, {"start": 1060.97, "end": 1061.47, "word": " الحاجة", "probability": 0.99072265625}, {"start": 1061.47, "end": 1062.19, "word": " سالب", "probability": 0.95556640625}, {"start": 1062.19, "end": 1062.51, "word": " واحد", "probability": 0.991455078125}, {"start": 1062.51, "end": 1062.73, "word": " في", "probability": 0.9794921875}, {"start": 1062.73, "end": 1063.15, "word": " إيه", "probability": 0.9830729166666666}, {"start": 1063.15, "end": 1064.41, "word": " ��بطلع", "probability": 0.93154296875}, {"start": 1064.41, "end": 1064.83, "word": " سالب", "probability": 0.9705403645833334}, {"start": 1064.83, "end": 1065.13, "word": " واحد", "probability": 0.994384765625}, {"start": 1065.13, "end": 1065.31, "word": " في", "probability": 0.94775390625}, {"start": 1065.31, "end": 1065.65, "word": " سالب", "probability": 0.97900390625}, {"start": 1065.65, "end": 1065.95, "word": " واحد", "probability": 0.99560546875}, {"start": 1065.95, "end": 1066.15, "word": " في", "probability": 0.97900390625}, {"start": 1066.15, "end": 1066.29, "word": " إيه", "probability": 0.9462890625}, {"start": 1066.29, "end": 1066.63, "word": " تربية", "probability": 0.8211263020833334}, {"start": 1066.63, "end": 1066.77, "word": " و", "probability": 0.58984375}, {"start": 1066.77, "end": 1067.01, "word": " هذا", "probability": 0.7041015625}, {"start": 1067.01, "end": 1067.61, "word": " واحد", "probability": 0.9833984375}, {"start": 1067.61, "end": 1069.01, "word": " فبطلع", "probability": 0.97255859375}, {"start": 1069.01, "end": 1069.25, "word": " إيه", "probability": 0.9659830729166666}, {"start": 1069.25, "end": 1069.59, "word": " تربية", "probability": 0.9285481770833334}, {"start": 1069.59, "end": 1070.17, "word": " تنتمي", "probability": 0.9385986328125}, {"start": 1070.17, "end": 1070.43, "word": " لدي", "probability": 0.627197265625}, {"start": 1070.43, "end": 1071.05, "word": " وبالتالي", "probability": 0.91748046875}, {"start": 1071.05, "end": 1071.29, "word": " إيه", "probability": 0.9767252604166666}, {"start": 1071.29, "end": 1071.73, "word": " تربية", "probability": 0.96337890625}, {"start": 1071.73, "end": 1072.23, "word": " موجبة", "probability": 0.814453125}, {"start": 1072.23, "end": 1073.47, "word": " إذا", "probability": 0.70458984375}, {"start": 1073.47, "end": 1073.85, "word": " هنا", "probability": 0.68603515625}, {"start": 1073.85, "end": 1074.35, "word": " أثبتنا", "probability": 0.990625}, {"start": 1074.35, "end": 1074.53, "word": " إن", "probability": 0.50927734375}, {"start": 1074.53, "end": 1074.83, "word": " أي", "probability": 0.8603515625}, {"start": 1074.83, "end": 1075.25, "word": " عدد", "probability": 0.98779296875}, {"start": 1075.25, "end": 1075.85, "word": " حقيقي", "probability": 0.97314453125}, {"start": 1075.85, "end": 1076.55, "word": " مختلف", "probability": 0.9874674479166666}, {"start": 1076.55, "end": 1076.73, "word": " عن", "probability": 0.984375}, {"start": 1076.73, "end": 1077.19, "word": " السفر", "probability": 0.7942708333333334}, {"start": 1077.19, "end": 1078.33, "word": " دائما", "probability": 0.7923177083333334}, {"start": 1078.33, "end": 1079.03, "word": " مربع", "probability": 0.9778645833333334}, {"start": 1079.03, "end": 1079.69, "word": " موجب", "probability": 0.8453776041666666}], "temperature": 1.0}, {"id": 41, "seek": 110451, "start": 1093.23, "end": 1104.51, "text": "خاصية جي الخاصية جي", "tokens": [9778, 33546, 10632, 10874, 1829, 33962, 33546, 10632, 10874, 1829], "avg_logprob": -0.3774858062917536, "compression_ratio": 1.0606060606060606, "no_speech_prob": 0.0, "words": [{"start": 1093.23, "end": 1094.63, "word": "خاصية", "probability": 0.8626302083333334}, {"start": 1094.63, "end": 1095.13, "word": " جي", "probability": 0.6229248046875}, {"start": 1095.13, "end": 1103.99, "word": " الخاصية", "probability": 0.7183430989583334}, {"start": 1103.99, "end": 1104.51, "word": " جي", "probability": 0.913330078125}], "temperature": 1.0}, {"id": 42, "seek": 113147, "start": 1110.83, "end": 1131.47, "text": "احنا بنفبط أن الواحد أكبر من السفر فبكل بساطة واحد بساوي واحد ضرب نفسه وهذا بيطلع واحد تربية و قبل شوية شوفنا و الواحد مختلف عن السفر إذا المربع بيطلع موجب حسب الخاصية السابقة، أثبت؟", "tokens": [39319, 8315, 4724, 1863, 5172, 3555, 9566, 14739, 2423, 14407, 24401, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 6156, 3555, 28820, 4724, 3794, 41193, 3660, 36764, 24401, 4724, 3794, 995, 45865, 36764, 24401, 48812, 25513, 8717, 36178, 3224, 37037, 15730, 4724, 1829, 9566, 1211, 3615, 36764, 24401, 6055, 25513, 10632, 4032, 12174, 36150, 13412, 2407, 10632, 13412, 38688, 8315, 4032, 2423, 14407, 24401, 3714, 46456, 46538, 18871, 21136, 5172, 2288, 11933, 15730, 9673, 25513, 3615, 4724, 1829, 9566, 1211, 3615, 3714, 29245, 3555, 11331, 35457, 33962, 33546, 10632, 21136, 16758, 28671, 12399, 5551, 12984, 3555, 2655, 22807], "avg_logprob": -0.21890943983987887, "compression_ratio": 1.896551724137931, "no_speech_prob": 0.0, "words": [{"start": 1110.83, "end": 1111.25, "word": "احنا", "probability": 0.75927734375}, {"start": 1111.25, "end": 1112.01, "word": " بنفبط", "probability": 0.537158203125}, {"start": 1112.01, "end": 1112.27, "word": " أن", "probability": 0.280517578125}, {"start": 1112.27, "end": 1113.01, "word": " الواحد", "probability": 0.833984375}, {"start": 1113.01, "end": 1113.45, "word": " أكبر", "probability": 0.9454752604166666}, {"start": 1113.45, "end": 1113.63, "word": " من", "probability": 0.98681640625}, {"start": 1113.63, "end": 1114.11, "word": " السفر", "probability": 0.81103515625}, {"start": 1114.11, "end": 1115.87, "word": " فبكل", "probability": 0.8001302083333334}, {"start": 1115.87, "end": 1116.39, "word": " بساطة", "probability": 0.984130859375}, {"start": 1116.39, "end": 1116.81, "word": " واحد", "probability": 0.966796875}, {"start": 1116.81, "end": 1117.39, "word": " بساوي", "probability": 0.8206787109375}, {"start": 1117.39, "end": 1118.19, "word": " واحد", "probability": 0.988037109375}, {"start": 1118.19, "end": 1118.51, "word": " ضرب", "probability": 0.633056640625}, {"start": 1118.51, "end": 1119.45, "word": " نفسه", "probability": 0.9951171875}, {"start": 1119.45, "end": 1120.95, "word": " وهذا", "probability": 0.834228515625}, {"start": 1120.95, "end": 1121.31, "word": " بيطلع", "probability": 0.76220703125}, {"start": 1121.31, "end": 1121.63, "word": " واحد", "probability": 0.95068359375}, {"start": 1121.63, "end": 1122.27, "word": " تربية", "probability": 0.8085123697916666}, {"start": 1122.27, "end": 1122.47, "word": " و", "probability": 0.623046875}, {"start": 1122.47, "end": 1122.71, "word": " قبل", "probability": 0.659912109375}, {"start": 1122.71, "end": 1122.99, "word": " شوية", "probability": 0.9451497395833334}, {"start": 1122.99, "end": 1123.43, "word": " شوفنا", "probability": 0.8328450520833334}, {"start": 1123.43, "end": 1123.53, "word": " و", "probability": 0.52099609375}, {"start": 1123.53, "end": 1123.89, "word": " الواحد", "probability": 0.8883463541666666}, {"start": 1123.89, "end": 1124.35, "word": " مختلف", "probability": 0.9931640625}, {"start": 1124.35, "end": 1124.53, "word": " عن", "probability": 0.98876953125}, {"start": 1124.53, "end": 1125.11, "word": " السفر", "probability": 0.9752604166666666}, {"start": 1125.11, "end": 1126.07, "word": " إذا", "probability": 0.4886474609375}, {"start": 1126.07, "end": 1126.71, "word": " المربع", "probability": 0.9664713541666666}, {"start": 1126.71, "end": 1127.21, "word": " بيطلع", "probability": 0.93330078125}, {"start": 1127.21, "end": 1127.65, "word": " موجب", "probability": 0.89892578125}, {"start": 1127.65, "end": 1128.03, "word": " حسب", "probability": 0.95556640625}, {"start": 1128.03, "end": 1128.77, "word": " الخاصية", "probability": 0.9576822916666666}, {"start": 1128.77, "end": 1130.89, "word": " السابقة،", "probability": 0.8914794921875}, {"start": 1130.89, "end": 1131.47, "word": " أثبت؟", "probability": 0.73955078125}], "temperature": 1.0}, {"id": 43, "seek": 116005, "start": 1133.53, "end": 1160.05, "text": "هذا معناه إذا هيثبتنا واحد أكبر من السفر وبالتالي واحد ينتمي لل positive real numbers إذا سالب واحد ينتمي ل negative two يعني negative واحد أصغر من السفر عملية بسيطة طيب احنا الآن بدنا نثبت ان كل", "tokens": [3224, 15730, 20449, 8315, 3224, 11933, 15730, 8032, 1829, 12984, 3555, 2655, 8315, 36764, 24401, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 46599, 6027, 2655, 6027, 1829, 36764, 24401, 7251, 29399, 2304, 1829, 24976, 3353, 957, 3547, 11933, 15730, 8608, 6027, 3555, 36764, 24401, 7251, 29399, 2304, 1829, 5296, 3671, 732, 37495, 22653, 3671, 36764, 24401, 5551, 9381, 17082, 2288, 9154, 21136, 5172, 2288, 6225, 42213, 10632, 4724, 3794, 1829, 9566, 3660, 23032, 1829, 3555, 1975, 5016, 8315, 6024, 48506, 47525, 8315, 8717, 12984, 3555, 2655, 16472, 28242], "avg_logprob": -0.16652036382910912, "compression_ratio": 1.7081081081081082, "no_speech_prob": 0.0, "words": [{"start": 1133.53, "end": 1133.87, "word": "هذا", "probability": 0.848876953125}, {"start": 1133.87, "end": 1134.27, "word": " معناه", "probability": 0.8347981770833334}, {"start": 1134.27, "end": 1134.87, "word": " إذا", "probability": 0.51544189453125}, {"start": 1134.87, "end": 1135.91, "word": " هيثبتنا", "probability": 0.75830078125}, {"start": 1135.91, "end": 1136.35, "word": " واحد", "probability": 0.922607421875}, {"start": 1136.35, "end": 1136.71, "word": " أكبر", "probability": 0.92041015625}, {"start": 1136.71, "end": 1136.87, "word": " من", "probability": 0.9892578125}, {"start": 1136.87, "end": 1137.29, "word": " السفر", "probability": 0.7665201822916666}, {"start": 1137.29, "end": 1138.53, "word": " وبالتالي", "probability": 0.93173828125}, {"start": 1138.53, "end": 1138.89, "word": " واحد", "probability": 0.96533203125}, {"start": 1138.89, "end": 1139.49, "word": " ينتمي", "probability": 0.9774169921875}, {"start": 1139.49, "end": 1139.77, "word": " لل", "probability": 0.62548828125}, {"start": 1139.77, "end": 1140.17, "word": " positive", "probability": 0.87744140625}, {"start": 1140.17, "end": 1140.75, "word": " real", "probability": 0.91015625}, {"start": 1140.75, "end": 1141.27, "word": " numbers", "probability": 0.71630859375}, {"start": 1141.27, "end": 1143.11, "word": " إذا", "probability": 0.804443359375}, {"start": 1143.11, "end": 1143.65, "word": " سالب", "probability": 0.9078776041666666}, {"start": 1143.65, "end": 1144.01, "word": " واحد", "probability": 0.992431640625}, {"start": 1144.01, "end": 1144.57, "word": " ينتمي", "probability": 0.9818115234375}, {"start": 1144.57, "end": 1144.67, "word": " ل", "probability": 0.912109375}, {"start": 1144.67, "end": 1144.99, "word": " negative", "probability": 0.60009765625}, {"start": 1144.99, "end": 1145.35, "word": " two", "probability": 0.414306640625}, {"start": 1145.35, "end": 1145.93, "word": " يعني", "probability": 0.909423828125}, {"start": 1145.93, "end": 1146.33, "word": " negative", "probability": 0.8017578125}, {"start": 1146.33, "end": 1146.69, "word": " واحد", "probability": 0.984130859375}, {"start": 1146.69, "end": 1146.99, "word": " أصغر", "probability": 0.981201171875}, {"start": 1146.99, "end": 1147.15, "word": " من", "probability": 0.9931640625}, {"start": 1147.15, "end": 1147.61, "word": " السفر", "probability": 0.93603515625}, {"start": 1147.61, "end": 1148.85, "word": " عملية", "probability": 0.91357421875}, {"start": 1148.85, "end": 1149.85, "word": " بسيطة", "probability": 0.99111328125}, {"start": 1149.85, "end": 1151.83, "word": " طيب", "probability": 0.9381510416666666}, {"start": 1151.83, "end": 1153.51, "word": " احنا", "probability": 0.8680013020833334}, {"start": 1153.51, "end": 1154.01, "word": " الآن", "probability": 0.69189453125}, {"start": 1154.01, "end": 1154.37, "word": " بدنا", "probability": 0.851806640625}, {"start": 1154.37, "end": 1154.89, "word": " نثبت", "probability": 0.98291015625}, {"start": 1154.89, "end": 1155.17, "word": " ان", "probability": 0.447265625}, {"start": 1155.17, "end": 1160.05, "word": " كل", "probability": 0.560546875}], "temperature": 1.0}, {"id": 44, "seek": 118929, "start": 1162.97, "end": 1189.29, "text": "عدد حقيقي موجب مقلوبه موجب اه فبنعمل برهان بالتناقض اذا هنا هندي اللي عايز اثبته هنا بس هنذكر ال statement اللي بدنا نثبته يعني ال statement اللي عايز اثبته لو كان a موجب ف reciprocal تبعه بطلع موجب او مقلوبه بطلع موجب", "tokens": [22488, 3215, 11331, 38436, 38436, 3714, 29245, 3555, 3714, 4587, 1211, 37746, 3224, 3714, 29245, 3555, 1975, 3224, 6156, 3555, 1863, 25957, 1211, 4724, 2288, 3224, 7649, 20666, 2655, 8315, 4587, 11242, 1975, 15730, 34105, 8032, 1863, 16254, 13672, 1829, 6225, 47302, 11622, 1975, 12984, 3555, 47395, 34105, 4724, 3794, 8032, 1863, 8848, 37983, 2423, 5629, 13672, 1829, 47525, 8315, 8717, 12984, 3555, 47395, 37495, 22653, 2423, 5629, 13672, 1829, 6225, 47302, 11622, 1975, 12984, 3555, 47395, 45164, 25961, 257, 3714, 29245, 3555, 6156, 46948, 6055, 3555, 3615, 3224, 4724, 9566, 1211, 3615, 3714, 29245, 3555, 1975, 2407, 3714, 4587, 1211, 37746, 3224, 4724, 9566, 1211, 3615, 3714, 29245, 3555], "avg_logprob": -0.1844031544956001, "compression_ratio": 1.9572192513368984, "no_speech_prob": 0.0, "words": [{"start": 1162.97, "end": 1163.47, "word": "عدد", "probability": 0.6619873046875}, {"start": 1163.47, "end": 1163.95, "word": " حقيقي", "probability": 0.9767252604166666}, {"start": 1163.95, "end": 1164.55, "word": " موجب", "probability": 0.97314453125}, {"start": 1164.55, "end": 1166.41, "word": " مقلوبه", "probability": 0.82958984375}, {"start": 1166.41, "end": 1168.49, "word": " موجب", "probability": 0.9739583333333334}, {"start": 1168.49, "end": 1168.81, "word": " اه", "probability": 0.495391845703125}, {"start": 1168.81, "end": 1170.97, "word": " فبنعمل", "probability": 0.82294921875}, {"start": 1170.97, "end": 1171.37, "word": " برهان", "probability": 0.8568115234375}, {"start": 1171.37, "end": 1172.05, "word": " بالتناقض", "probability": 0.96943359375}, {"start": 1172.05, "end": 1172.19, "word": " اذا", "probability": 0.6263427734375}, {"start": 1172.19, "end": 1172.45, "word": " هنا", "probability": 0.85205078125}, {"start": 1172.45, "end": 1172.89, "word": " هندي", "probability": 0.560791015625}, {"start": 1172.89, "end": 1173.31, "word": " اللي", "probability": 0.65234375}, {"start": 1173.31, "end": 1173.67, "word": " عايز", "probability": 0.9617513020833334}, {"start": 1173.67, "end": 1174.09, "word": " اثبته", "probability": 0.8939208984375}, {"start": 1174.09, "end": 1174.27, "word": " هنا", "probability": 0.8974609375}, {"start": 1174.27, "end": 1174.47, "word": " بس", "probability": 0.94921875}, {"start": 1174.47, "end": 1176.19, "word": " هنذكر", "probability": 0.5048828125}, {"start": 1176.19, "end": 1176.83, "word": " ال", "probability": 0.8583984375}, {"start": 1176.83, "end": 1177.33, "word": " statement", "probability": 0.955078125}, {"start": 1177.33, "end": 1177.71, "word": " اللي", "probability": 0.929931640625}, {"start": 1177.71, "end": 1178.09, "word": " بدنا", "probability": 0.91796875}, {"start": 1178.09, "end": 1179.13, "word": " نثبته", "probability": 0.9884033203125}, {"start": 1179.13, "end": 1180.89, "word": " يعني", "probability": 0.91748046875}, {"start": 1180.89, "end": 1181.05, "word": " ال", "probability": 0.97021484375}, {"start": 1181.05, "end": 1181.43, "word": " statement", "probability": 0.98291015625}, {"start": 1181.43, "end": 1181.73, "word": " اللي", "probability": 0.986572265625}, {"start": 1181.73, "end": 1181.99, "word": " عايز", "probability": 0.9869791666666666}, {"start": 1181.99, "end": 1182.39, "word": " اثبته", "probability": 0.916259765625}, {"start": 1182.39, "end": 1182.61, "word": " لو", "probability": 0.9404296875}, {"start": 1182.61, "end": 1182.91, "word": " كان", "probability": 0.98779296875}, {"start": 1182.91, "end": 1183.13, "word": " a", "probability": 0.396484375}, {"start": 1183.13, "end": 1183.73, "word": " موجب", "probability": 0.99462890625}, {"start": 1183.73, "end": 1184.25, "word": " ف", "probability": 0.9609375}, {"start": 1184.25, "end": 1185.93, "word": " reciprocal", "probability": 0.46875}, {"start": 1185.93, "end": 1186.71, "word": " تبعه", "probability": 0.919189453125}, {"start": 1186.71, "end": 1187.11, "word": " بطلع", "probability": 0.8167724609375}, {"start": 1187.11, "end": 1187.65, "word": " موجب", "probability": 0.9895833333333334}, {"start": 1187.65, "end": 1188.01, "word": " او", "probability": 0.954345703125}, {"start": 1188.01, "end": 1188.53, "word": " مقلوبه", "probability": 0.9859375}, {"start": 1188.53, "end": 1188.81, "word": " بطلع", "probability": 0.986083984375}, {"start": 1188.81, "end": 1189.29, "word": " موجب", "probability": 0.9920247395833334}], "temperature": 1.0}, {"id": 45, "seek": 121764, "start": 1190.16, "end": 1217.64, "text": "لبرهان ذلك نعمل برهان بالتناقض نفرض أن واحد على a أقل من السفر وطبعا عندي انا من الفرض هذا الفرض لازال قائم a أكبر من السفر عندي الفرابين هدول فعندي a أكبر من السفر و واحد على a أصغر من السفر فهذا بيقدي", "tokens": [46152, 2288, 3224, 7649, 29910, 23275, 8717, 25957, 1211, 4724, 2288, 3224, 7649, 20666, 2655, 8315, 4587, 11242, 8717, 5172, 43042, 14739, 36764, 24401, 15844, 257, 5551, 4587, 1211, 9154, 21136, 5172, 2288, 4032, 9566, 3555, 3615, 995, 18871, 16254, 1975, 8315, 9154, 27188, 43042, 23758, 27188, 43042, 5296, 31377, 6027, 12174, 16373, 2304, 257, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 18871, 16254, 27188, 2288, 16758, 9957, 8032, 3215, 12610, 6156, 3615, 1863, 16254, 257, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 4032, 36764, 24401, 15844, 257, 5551, 9381, 17082, 2288, 9154, 21136, 5172, 2288, 6156, 3224, 15730, 4724, 1829, 4587, 16254], "avg_logprob": -0.20222355110140947, "compression_ratio": 2.196319018404908, "no_speech_prob": 0.0, "words": [{"start": 1190.16, "end": 1190.86, "word": "لبرهان", "probability": 0.6800537109375}, {"start": 1190.86, "end": 1191.2, "word": " ذلك", "probability": 0.982177734375}, {"start": 1191.2, "end": 1191.52, "word": " نعمل", "probability": 0.9026692708333334}, {"start": 1191.52, "end": 1191.92, "word": " برهان", "probability": 0.9713134765625}, {"start": 1191.92, "end": 1192.68, "word": " بالتناقض", "probability": 0.986328125}, {"start": 1192.68, "end": 1193.12, "word": " نفرض", "probability": 0.8419596354166666}, {"start": 1193.12, "end": 1193.36, "word": " أن", "probability": 0.479736328125}, {"start": 1193.36, "end": 1193.94, "word": " واحد", "probability": 0.855712890625}, {"start": 1193.94, "end": 1194.18, "word": " على", "probability": 0.86083984375}, {"start": 1194.18, "end": 1194.58, "word": " a", "probability": 0.1937255859375}, {"start": 1194.58, "end": 1196.26, "word": " أقل", "probability": 0.9479166666666666}, {"start": 1196.26, "end": 1196.66, "word": " من", "probability": 0.9912109375}, {"start": 1196.66, "end": 1197.48, "word": " السفر", "probability": 0.818359375}, {"start": 1197.48, "end": 1201.56, "word": " وطبعا", "probability": 0.89326171875}, {"start": 1201.56, "end": 1201.98, "word": " عندي", "probability": 0.84130859375}, {"start": 1201.98, "end": 1202.26, "word": " انا", "probability": 0.63525390625}, {"start": 1202.26, "end": 1202.42, "word": " من", "probability": 0.90185546875}, {"start": 1202.42, "end": 1202.8, "word": " الفرض", "probability": 0.875}, {"start": 1202.8, "end": 1203.08, "word": " هذا", "probability": 0.79931640625}, {"start": 1203.08, "end": 1203.44, "word": " الفرض", "probability": 0.97265625}, {"start": 1203.44, "end": 1203.92, "word": " لازال", "probability": 0.9337565104166666}, {"start": 1203.92, "end": 1204.48, "word": " قائم", "probability": 0.9777018229166666}, {"start": 1204.48, "end": 1204.92, "word": " a", "probability": 0.82080078125}, {"start": 1204.92, "end": 1206.18, "word": " أكبر", "probability": 0.9541015625}, {"start": 1206.18, "end": 1206.38, "word": " من", "probability": 0.99560546875}, {"start": 1206.38, "end": 1206.9, "word": " السفر", "probability": 0.984375}, {"start": 1206.9, "end": 1209.14, "word": " عندي", "probability": 0.77197265625}, {"start": 1209.14, "end": 1209.72, "word": " الفرابين", "probability": 0.76318359375}, {"start": 1209.72, "end": 1210.12, "word": " هدول", "probability": 0.697998046875}, {"start": 1210.12, "end": 1212.2, "word": " فعندي", "probability": 0.64227294921875}, {"start": 1212.2, "end": 1212.34, "word": " a", "probability": 0.95849609375}, {"start": 1212.34, "end": 1212.72, "word": " أكبر", "probability": 0.9757486979166666}, {"start": 1212.72, "end": 1212.9, "word": " من", "probability": 0.99560546875}, {"start": 1212.9, "end": 1213.36, "word": " السفر", "probability": 0.9933268229166666}, {"start": 1213.36, "end": 1213.52, "word": " و", "probability": 0.91357421875}, {"start": 1213.52, "end": 1213.88, "word": " واحد", "probability": 0.775390625}, {"start": 1213.88, "end": 1214.06, "word": " على", "probability": 0.414794921875}, {"start": 1214.06, "end": 1214.2, "word": " a", "probability": 0.95361328125}, {"start": 1214.2, "end": 1214.62, "word": " أصغر", "probability": 0.982421875}, {"start": 1214.62, "end": 1214.78, "word": " من", "probability": 0.96826171875}, {"start": 1214.78, "end": 1215.24, "word": " السفر", "probability": 0.994140625}, {"start": 1215.24, "end": 1217.12, "word": " فهذا", "probability": 0.9650065104166666}, {"start": 1217.12, "end": 1217.64, "word": " بيقدي", "probability": 0.6405029296875}], "temperature": 1.0}, {"id": 46, "seek": 124899, "start": 1220.87, "end": 1248.99, "text": "لو ضربت المتباينة هذه في a اللي هو عدد موجب فهيصير اندي واحد على a في a أصغر من سفر في a اللي هو بيساوي سفر طب هدف بيساوي واحد ان هك بيطلع واحد أصغر من سفر وبالتالي هدف يعطيني تناقض لأن الواحد أكبر من سفر لسه مثبتينه قبل شوية ان هدف بيأدي إلى تناقض وبالتالي", "tokens": [1211, 2407, 48812, 25513, 2655, 9673, 2655, 3555, 995, 9957, 3660, 29538, 8978, 257, 13672, 1829, 31439, 6225, 3215, 3215, 3714, 29245, 3555, 6156, 3224, 1829, 9381, 13546, 16472, 16254, 36764, 24401, 15844, 257, 8978, 257, 5551, 9381, 17082, 2288, 9154, 8608, 5172, 2288, 8978, 257, 13672, 1829, 31439, 4724, 1829, 3794, 995, 45865, 8608, 5172, 2288, 23032, 3555, 8032, 3215, 5172, 4724, 1829, 3794, 995, 45865, 36764, 24401, 16472, 8032, 4117, 4724, 1829, 9566, 1211, 3615, 36764, 24401, 5551, 9381, 17082, 2288, 9154, 8608, 5172, 2288, 46599, 6027, 2655, 6027, 1829, 8032, 3215, 5172, 37495, 9566, 1829, 22653, 6055, 8315, 4587, 11242, 5296, 33456, 2423, 14407, 24401, 5551, 4117, 26890, 9154, 8608, 5172, 2288, 5296, 3794, 3224, 3714, 12984, 3555, 2655, 9957, 3224, 12174, 36150, 13412, 2407, 10632, 16472, 8032, 3215, 5172, 4724, 1829, 10721, 16254, 30731, 6055, 8315, 4587, 11242, 46599, 6027, 2655, 6027, 1829], "avg_logprob": -0.17578124758359548, "compression_ratio": 2.096774193548387, "no_speech_prob": 0.0, "words": [{"start": 1220.87, "end": 1221.65, "word": "لو", "probability": 0.68603515625}, {"start": 1221.65, "end": 1222.29, "word": " ضربت", "probability": 0.92041015625}, {"start": 1222.29, "end": 1223.51, "word": " المتباينة", "probability": 0.881591796875}, {"start": 1223.51, "end": 1223.93, "word": " هذه", "probability": 0.71728515625}, {"start": 1223.93, "end": 1225.05, "word": " في", "probability": 0.6943359375}, {"start": 1225.05, "end": 1225.27, "word": " a", "probability": 0.420654296875}, {"start": 1225.27, "end": 1225.45, "word": " اللي", "probability": 0.748046875}, {"start": 1225.45, "end": 1225.65, "word": " هو", "probability": 0.9794921875}, {"start": 1225.65, "end": 1225.99, "word": " عدد", "probability": 0.9781901041666666}, {"start": 1225.99, "end": 1226.55, "word": " موجب", "probability": 0.9886067708333334}, {"start": 1226.55, "end": 1228.19, "word": " فهيصير", "probability": 0.84736328125}, {"start": 1228.19, "end": 1228.49, "word": " اندي", "probability": 0.716796875}, {"start": 1228.49, "end": 1228.87, "word": " واحد", "probability": 0.90771484375}, {"start": 1228.87, "end": 1229.05, "word": " على", "probability": 0.7939453125}, {"start": 1229.05, "end": 1229.33, "word": " a", "probability": 0.84716796875}, {"start": 1229.33, "end": 1229.53, "word": " في", "probability": 0.91455078125}, {"start": 1229.53, "end": 1229.83, "word": " a", "probability": 0.9501953125}, {"start": 1229.83, "end": 1230.35, "word": " أصغر", "probability": 0.912353515625}, {"start": 1230.35, "end": 1230.53, "word": " من", "probability": 0.9970703125}, {"start": 1230.53, "end": 1231.07, "word": " سفر", "probability": 0.8235677083333334}, {"start": 1231.07, "end": 1231.29, "word": " في", "probability": 0.95947265625}, {"start": 1231.29, "end": 1231.63, "word": " a", "probability": 0.982421875}, {"start": 1231.63, "end": 1232.31, "word": " اللي", "probability": 0.970947265625}, {"start": 1232.31, "end": 1232.45, "word": " هو", "probability": 0.958984375}, {"start": 1232.45, "end": 1232.89, "word": " بيساوي", "probability": 0.79765625}, {"start": 1232.89, "end": 1233.31, "word": " سفر", "probability": 0.9765625}, {"start": 1233.31, "end": 1234.61, "word": " طب", "probability": 0.7734375}, {"start": 1234.61, "end": 1234.91, "word": " هدف", "probability": 0.7340494791666666}, {"start": 1234.91, "end": 1235.31, "word": " بيساوي", "probability": 0.95947265625}, {"start": 1235.31, "end": 1235.79, "word": " واحد", "probability": 0.990234375}, {"start": 1235.79, "end": 1235.97, "word": " ان", "probability": 0.32421875}, {"start": 1235.97, "end": 1236.25, "word": " هك", "probability": 0.6868896484375}, {"start": 1236.25, "end": 1236.67, "word": " بيطلع", "probability": 0.811767578125}, {"start": 1236.67, "end": 1237.29, "word": " واحد", "probability": 0.9716796875}, {"start": 1237.29, "end": 1238.57, "word": " أصغر", "probability": 0.9334716796875}, {"start": 1238.57, "end": 1238.79, "word": " من", "probability": 0.99658203125}, {"start": 1238.79, "end": 1239.23, "word": " سفر", "probability": 0.9903971354166666}, {"start": 1239.23, "end": 1240.09, "word": " وبالتالي", "probability": 0.959765625}, {"start": 1240.09, "end": 1240.35, "word": " هدف", "probability": 0.8680013020833334}, {"start": 1240.35, "end": 1240.77, "word": " يعطيني", "probability": 0.7978515625}, {"start": 1240.77, "end": 1241.69, "word": " تناقض", "probability": 0.9647216796875}, {"start": 1241.69, "end": 1242.03, "word": " لأن", "probability": 0.73095703125}, {"start": 1242.03, "end": 1242.53, "word": " الواحد", "probability": 0.8460286458333334}, {"start": 1242.53, "end": 1242.91, "word": " أكبر", "probability": 0.9503580729166666}, {"start": 1242.91, "end": 1243.07, "word": " من", "probability": 0.99560546875}, {"start": 1243.07, "end": 1243.33, "word": " سفر", "probability": 0.97119140625}, {"start": 1243.33, "end": 1243.61, "word": " لسه", "probability": 0.8811848958333334}, {"start": 1243.61, "end": 1244.17, "word": " مثبتينه", "probability": 0.8695068359375}, {"start": 1244.17, "end": 1244.41, "word": " قبل", "probability": 0.857177734375}, {"start": 1244.41, "end": 1244.89, "word": " شوية", "probability": 0.9529622395833334}, {"start": 1244.89, "end": 1246.43, "word": " ان", "probability": 0.392578125}, {"start": 1246.43, "end": 1246.77, "word": " هدف", "probability": 0.7897135416666666}, {"start": 1246.77, "end": 1247.25, "word": " بيأدي", "probability": 0.5550537109375}, {"start": 1247.25, "end": 1247.53, "word": " إلى", "probability": 0.54248046875}, {"start": 1247.53, "end": 1248.19, "word": " تناقض", "probability": 0.9930419921875}, {"start": 1248.19, "end": 1248.99, "word": " وبالتالي", "probability": 0.91025390625}], "temperature": 1.0}, {"id": 47, "seek": 126772, "start": 1250.62, "end": 1267.72, "text": "مقلوب الـ A لازم يكون موجب بالمثل لو كان مقلوب الـ A سالب فممكن نثبت انه مقلوب و ايضا بيطلع سالب فالبرهان مشابه حسيبكم انتوا تكتبوه تمام؟", "tokens": [2304, 4587, 1211, 37746, 2423, 39184, 316, 5296, 31377, 2304, 7251, 30544, 3714, 29245, 3555, 20666, 2304, 12984, 1211, 45164, 25961, 3714, 4587, 1211, 37746, 2423, 39184, 316, 8608, 6027, 3555, 6156, 2304, 43020, 8717, 12984, 3555, 2655, 16472, 3224, 3714, 4587, 1211, 37746, 4032, 1975, 1829, 11242, 995, 4724, 1829, 9566, 1211, 3615, 8608, 6027, 3555, 6156, 6027, 26890, 3224, 7649, 37893, 16758, 3224, 11331, 3794, 1829, 3555, 24793, 16472, 2655, 14407, 6055, 4117, 2655, 3555, 2407, 3224, 46811, 10943, 22807], "avg_logprob": -0.24905872560409179, "compression_ratio": 1.696551724137931, "no_speech_prob": 0.0, "words": [{"start": 1250.62, "end": 1251.58, "word": "مقلوب", "probability": 0.739532470703125}, {"start": 1251.58, "end": 1251.8, "word": " الـ", "probability": 0.47509765625}, {"start": 1251.8, "end": 1251.9, "word": " A", "probability": 0.423828125}, {"start": 1251.9, "end": 1252.38, "word": " لازم", "probability": 0.7562662760416666}, {"start": 1252.38, "end": 1252.68, "word": " يكون", "probability": 0.98046875}, {"start": 1252.68, "end": 1253.16, "word": " موجب", "probability": 0.94384765625}, {"start": 1253.16, "end": 1254.44, "word": " بالمثل", "probability": 0.8009033203125}, {"start": 1254.44, "end": 1254.64, "word": " لو", "probability": 0.67529296875}, {"start": 1254.64, "end": 1255.06, "word": " كان", "probability": 0.9638671875}, {"start": 1255.06, "end": 1255.58, "word": " مقلوب", "probability": 0.9644775390625}, {"start": 1255.58, "end": 1255.86, "word": " الـ", "probability": 0.83837890625}, {"start": 1255.86, "end": 1255.98, "word": " A", "probability": 0.8603515625}, {"start": 1255.98, "end": 1256.6, "word": " سالب", "probability": 0.9111328125}, {"start": 1256.6, "end": 1259.06, "word": " فم��كن", "probability": 0.8414713541666666}, {"start": 1259.06, "end": 1259.58, "word": " نثبت", "probability": 0.9791259765625}, {"start": 1259.58, "end": 1259.84, "word": " انه", "probability": 0.66015625}, {"start": 1259.84, "end": 1260.38, "word": " مقلوب", "probability": 0.9647216796875}, {"start": 1260.38, "end": 1260.52, "word": " و", "probability": 0.67041015625}, {"start": 1260.52, "end": 1260.98, "word": " ايضا", "probability": 0.82965087890625}, {"start": 1260.98, "end": 1261.44, "word": " بيطلع", "probability": 0.736962890625}, {"start": 1261.44, "end": 1262.0, "word": " سالب", "probability": 0.9625651041666666}, {"start": 1262.0, "end": 1263.38, "word": " فالبرهان", "probability": 0.87734375}, {"start": 1263.38, "end": 1263.9, "word": " مشابه", "probability": 0.9596354166666666}, {"start": 1263.9, "end": 1264.36, "word": " حسيبكم", "probability": 0.74140625}, {"start": 1264.36, "end": 1264.6, "word": " انتوا", "probability": 0.60693359375}, {"start": 1264.6, "end": 1265.9, "word": " تكتبوه", "probability": 0.98291015625}, {"start": 1265.9, "end": 1267.72, "word": " تمام؟", "probability": 0.7509765625}], "temperature": 1.0}, {"id": 48, "seek": 128367, "start": 1281.57, "end": 1283.67, "text": "أنا مش عارف لسه أنا هيك بعمل", "tokens": [10721, 8315, 37893, 6225, 9640, 5172, 5296, 3794, 3224, 41850, 39896, 4117, 4724, 25957, 1211], "avg_logprob": -0.28344727121293545, "compression_ratio": 0.9090909090909091, "no_speech_prob": 0.0, "words": [{"start": 1281.57, "end": 1282.07, "word": "أنا", "probability": 0.600830078125}, {"start": 1282.07, "end": 1282.25, "word": " مش", "probability": 0.5576171875}, {"start": 1282.25, "end": 1282.55, "word": " عارف", "probability": 0.9884440104166666}, {"start": 1282.55, "end": 1282.91, "word": " لسه", "probability": 0.8040364583333334}, {"start": 1282.91, "end": 1283.05, "word": " أنا", "probability": 0.57763671875}, {"start": 1283.05, "end": 1283.23, "word": " هيك", "probability": 0.805419921875}, {"start": 1283.23, "end": 1283.67, "word": " بعمل", "probability": 0.9332682291666666}], "temperature": 1.0}, {"id": 49, "seek": 133498, "start": 1310.0, "end": 1334.98, "text": "طيب ال .. الجزء هذا الأخير إيش كان هذا؟ إيش كنا بدنا نثبت هناك؟", "tokens": [9566, 1829, 3555, 2423, 4386, 25724, 11622, 38207, 23758, 16247, 9778, 13546, 11933, 1829, 8592, 25961, 23758, 22807, 11933, 1829, 8592, 9122, 8315, 47525, 8315, 8717, 12984, 3555, 2655, 34105, 4117, 22807], "avg_logprob": -0.26538825757575757, "compression_ratio": 1.3058823529411765, "no_speech_prob": 0.0, "words": [{"start": 1310.0, "end": 1310.46, "word": "طيب", "probability": 0.9757486979166666}, {"start": 1310.46, "end": 1310.82, "word": " ال", "probability": 0.303466796875}, {"start": 1310.82, "end": 1311.68, "word": " ..", "probability": 0.83447265625}, {"start": 1311.68, "end": 1312.84, "word": " الجزء", "probability": 0.9542643229166666}, {"start": 1312.84, "end": 1313.24, "word": " هذا", "probability": 0.9404296875}, {"start": 1313.24, "end": 1314.32, "word": " الأخير", "probability": 0.8697916666666666}, {"start": 1314.32, "end": 1315.42, "word": " إيش", "probability": 0.8196614583333334}, {"start": 1315.42, "end": 1315.72, "word": " كان", "probability": 0.99560546875}, {"start": 1315.72, "end": 1317.18, "word": " هذا؟", "probability": 0.929931640625}, {"start": 1317.18, "end": 1319.64, "word": " إيش", "probability": 0.9583333333333334}, {"start": 1319.64, "end": 1319.84, "word": " كنا", "probability": 0.982666015625}, {"start": 1319.84, "end": 1320.1, "word": " بدنا", "probability": 0.55047607421875}, {"start": 1320.1, "end": 1320.46, "word": " نثبت", "probability": 0.967529296875}, {"start": 1320.46, "end": 1334.98, "word": " هناك؟", "probability": 0.770751953125}], "temperature": 1.0}, {"id": 50, "seek": 136708, "start": 1337.92, "end": 1367.08, "text": "اه إذا كان a عدد موجب و أصغر من b فهذا بيقدّي أن مقلوب الكبير أصغر من مقلوب الصغير بظبط و طبعا هذا موجب فلإثبات أن واحد على بي أصغر من واحد على ايه بتثبت أن الفرق بين واحد على ايه واحد على ايه", "tokens": [40294, 11933, 15730, 25961, 257, 6225, 3215, 3215, 3714, 29245, 3555, 4032, 5551, 9381, 17082, 2288, 9154, 272, 6156, 3224, 15730, 4724, 1829, 28543, 11703, 1829, 14739, 3714, 4587, 1211, 37746, 33251, 3555, 13546, 5551, 9381, 17082, 2288, 9154, 3714, 4587, 1211, 37746, 31767, 17082, 13546, 4724, 19913, 3555, 9566, 4032, 23032, 3555, 3615, 995, 23758, 3714, 29245, 3555, 6156, 1211, 28814, 12984, 3555, 9307, 14739, 36764, 24401, 15844, 4724, 1829, 5551, 9381, 17082, 2288, 9154, 36764, 24401, 15844, 1975, 1829, 3224, 39894, 12984, 3555, 2655, 14739, 27188, 2288, 4587, 49374, 36764, 24401, 15844, 1975, 1829, 3224, 36764, 24401, 15844, 1975, 1829, 3224], "avg_logprob": -0.17698317708877417, "compression_ratio": 2.067073170731707, "no_speech_prob": 0.0, "words": [{"start": 1337.92, "end": 1338.36, "word": "اه", "probability": 0.29150390625}, {"start": 1338.36, "end": 1338.76, "word": " إذا", "probability": 0.817626953125}, {"start": 1338.76, "end": 1339.26, "word": " كان", "probability": 0.9892578125}, {"start": 1339.26, "end": 1339.74, "word": " a", "probability": 0.497802734375}, {"start": 1339.74, "end": 1342.46, "word": " عدد", "probability": 0.8458658854166666}, {"start": 1342.46, "end": 1343.02, "word": " موجب", "probability": 0.98583984375}, {"start": 1343.02, "end": 1343.22, "word": " و", "probability": 0.55615234375}, {"start": 1343.22, "end": 1343.8, "word": " أصغر", "probability": 0.9569091796875}, {"start": 1343.8, "end": 1344.04, "word": " من", "probability": 0.9921875}, {"start": 1344.04, "end": 1344.34, "word": " b", "probability": 0.75537109375}, {"start": 1344.34, "end": 1345.1, "word": " فهذا", "probability": 0.9617513020833334}, {"start": 1345.1, "end": 1346.14, "word": " بيقدّي", "probability": 0.719677734375}, {"start": 1346.14, "end": 1346.8, "word": " أن", "probability": 0.37060546875}, {"start": 1346.8, "end": 1347.46, "word": " مقلوب", "probability": 0.930419921875}, {"start": 1347.46, "end": 1348.18, "word": " الكبير", "probability": 0.9733072916666666}, {"start": 1348.18, "end": 1348.86, "word": " أصغر", "probability": 0.983154296875}, {"start": 1348.86, "end": 1349.08, "word": " من", "probability": 0.98974609375}, {"start": 1349.08, "end": 1349.78, "word": " مقلوب", "probability": 0.9722900390625}, {"start": 1349.78, "end": 1350.38, "word": " الصغير", "probability": 0.9658203125}, {"start": 1350.38, "end": 1354.1, "word": " بظبط", "probability": 0.68585205078125}, {"start": 1354.1, "end": 1354.28, "word": " و", "probability": 0.7021484375}, {"start": 1354.28, "end": 1354.56, "word": " طبعا", "probability": 0.9525146484375}, {"start": 1354.56, "end": 1354.78, "word": " هذا", "probability": 0.62646484375}, {"start": 1354.78, "end": 1355.32, "word": " موجب", "probability": 0.9894205729166666}, {"start": 1355.32, "end": 1359.08, "word": " فلإثبات", "probability": 0.9061686197916666}, {"start": 1359.08, "end": 1359.28, "word": " أن", "probability": 0.8564453125}, {"start": 1359.28, "end": 1360.1, "word": " واحد", "probability": 0.8349609375}, {"start": 1360.1, "end": 1360.28, "word": " على", "probability": 0.8291015625}, {"start": 1360.28, "end": 1360.5, "word": " بي", "probability": 0.8046875}, {"start": 1360.5, "end": 1360.84, "word": " أصغر", "probability": 0.9739990234375}, {"start": 1360.84, "end": 1361.02, "word": " من", "probability": 0.9873046875}, {"start": 1361.02, "end": 1361.44, "word": " واحد", "probability": 0.9873046875}, {"start": 1361.44, "end": 1361.62, "word": " على", "probability": 0.93310546875}, {"start": 1361.62, "end": 1362.0, "word": " ايه", "probability": 0.6572265625}, {"start": 1362.0, "end": 1362.54, "word": " بتثبت", "probability": 0.735992431640625}, {"start": 1362.54, "end": 1362.68, "word": " أن", "probability": 0.76953125}, {"start": 1362.68, "end": 1363.36, "word": " الفرق", "probability": 0.9759114583333334}, {"start": 1363.36, "end": 1363.78, "word": " بين", "probability": 0.68701171875}, {"start": 1363.78, "end": 1364.28, "word": " واحد", "probability": 0.987548828125}, {"start": 1364.28, "end": 1364.52, "word": " على", "probability": 0.927734375}, {"start": 1364.52, "end": 1364.98, "word": " ايه", "probability": 0.8992513020833334}, {"start": 1364.98, "end": 1366.08, "word": " واحد", "probability": 0.83203125}, {"start": 1366.08, "end": 1366.52, "word": " على", "probability": 0.92333984375}, {"start": 1366.52, "end": 1367.08, "word": " ايه", "probability": 0.9104817708333334}], "temperature": 1.0}, {"id": 51, "seek": 139580, "start": 1368.14, "end": 1395.8, "text": "و 1 على D ينتمي إلى P أو موجة طيب الان هاي ناخد 1 على A سلب 1 على B فاخدنا خاصية ناخد مقام مشترك A B و بعدين بيصير عندى هذا بتحول لحاصل ضرب الان هذا positive number لان احنا فرضين ان ال B أكبر من A فالفرق هذا positive", "tokens": [2407, 502, 15844, 413, 7251, 29399, 2304, 1829, 30731, 430, 34051, 3714, 29245, 3660, 23032, 1829, 3555, 2423, 7649, 8032, 47302, 8717, 47283, 3215, 502, 15844, 316, 8608, 46152, 502, 15844, 363, 6156, 47283, 3215, 8315, 16490, 33546, 10632, 8717, 47283, 3215, 3714, 4587, 10943, 37893, 2655, 31747, 316, 363, 4032, 39182, 9957, 4724, 1829, 9381, 13546, 43242, 7578, 23758, 39894, 5016, 12610, 5296, 5016, 33546, 1211, 48812, 25513, 2423, 7649, 23758, 3353, 1230, 5296, 7649, 1975, 5016, 8315, 6156, 43042, 9957, 16472, 2423, 363, 5551, 4117, 26890, 9154, 316, 6156, 6027, 5172, 2288, 4587, 23758, 3353], "avg_logprob": -0.24633291454947726, "compression_ratio": 1.6401869158878504, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1368.14, "end": 1368.56, "word": "و", "probability": 0.403076171875}, {"start": 1368.56, "end": 1368.9, "word": " 1", "probability": 0.363525390625}, {"start": 1368.9, "end": 1369.24, "word": " على", "probability": 0.416015625}, {"start": 1369.24, "end": 1369.54, "word": " D", "probability": 0.2001953125}, {"start": 1369.54, "end": 1372.38, "word": " ينتمي", "probability": 0.9156494140625}, {"start": 1372.38, "end": 1372.6, "word": " إلى", "probability": 0.859375}, {"start": 1372.6, "end": 1372.86, "word": " P", "probability": 0.8935546875}, {"start": 1372.86, "end": 1373.08, "word": " أو", "probability": 0.65283203125}, {"start": 1373.08, "end": 1373.9, "word": " موجة", "probability": 0.67431640625}, {"start": 1373.9, "end": 1375.6, "word": " طيب", "probability": 0.8203125}, {"start": 1375.6, "end": 1376.72, "word": " الان", "probability": 0.59393310546875}, {"start": 1376.72, "end": 1377.58, "word": " هاي", "probability": 0.42431640625}, {"start": 1377.58, "end": 1378.0, "word": " ناخد", "probability": 0.9786783854166666}, {"start": 1378.0, "end": 1378.24, "word": " 1", "probability": 0.7744140625}, {"start": 1378.24, "end": 1378.44, "word": " على", "probability": 0.84814453125}, {"start": 1378.44, "end": 1378.68, "word": " A", "probability": 0.90185546875}, {"start": 1378.68, "end": 1379.06, "word": " سلب", "probability": 0.631103515625}, {"start": 1379.06, "end": 1379.28, "word": " 1", "probability": 0.943359375}, {"start": 1379.28, "end": 1379.56, "word": " على", "probability": 0.90625}, {"start": 1379.56, "end": 1379.9, "word": " B", "probability": 0.86083984375}, {"start": 1379.9, "end": 1381.7, "word": " فاخدنا", "probability": 0.88232421875}, {"start": 1381.7, "end": 1382.16, "word": " خاصية", "probability": 0.9187825520833334}, {"start": 1382.16, "end": 1382.6, "word": " ناخد", "probability": 0.9827473958333334}, {"start": 1382.6, "end": 1383.02, "word": " مقام", "probability": 0.9912109375}, {"start": 1383.02, "end": 1383.58, "word": " مشترك", "probability": 0.9739583333333334}, {"start": 1383.58, "end": 1383.84, "word": " A", "probability": 0.755859375}, {"start": 1383.84, "end": 1384.08, "word": " B", "probability": 0.310791015625}, {"start": 1384.08, "end": 1384.28, "word": " و", "probability": 0.7373046875}, {"start": 1384.28, "end": 1384.7, "word": " بعدين", "probability": 0.90869140625}, {"start": 1384.7, "end": 1385.14, "word": " بيصير", "probability": 0.702392578125}, {"start": 1385.14, "end": 1385.76, "word": " عندى", "probability": 0.682861328125}, {"start": 1385.76, "end": 1386.22, "word": " هذا", "probability": 0.88623046875}, {"start": 1386.22, "end": 1386.76, "word": " بتحول", "probability": 0.8678385416666666}, {"start": 1386.76, "end": 1387.4, "word": " لحاصل", "probability": 0.9268798828125}, {"start": 1387.4, "end": 1387.74, "word": " ضرب", "probability": 0.93798828125}, {"start": 1387.74, "end": 1389.6, "word": " الان", "probability": 0.79296875}, {"start": 1389.6, "end": 1390.14, "word": " هذا", "probability": 0.95263671875}, {"start": 1390.14, "end": 1390.62, "word": " positive", "probability": 0.78369140625}, {"start": 1390.62, "end": 1391.16, "word": " number", "probability": 0.97216796875}, {"start": 1391.16, "end": 1391.46, "word": " لان", "probability": 0.710693359375}, {"start": 1391.46, "end": 1391.64, "word": " احنا", "probability": 0.94873046875}, {"start": 1391.64, "end": 1392.52, "word": " فرضين", "probability": 0.97900390625}, {"start": 1392.52, "end": 1393.04, "word": " ان", "probability": 0.82861328125}, {"start": 1393.04, "end": 1393.24, "word": " ال", "probability": 0.82568359375}, {"start": 1393.24, "end": 1393.44, "word": " B", "probability": 0.646484375}, {"start": 1393.44, "end": 1393.9, "word": " أكبر", "probability": 0.890625}, {"start": 1393.9, "end": 1394.14, "word": " من", "probability": 0.98583984375}, {"start": 1394.14, "end": 1394.34, "word": " A", "probability": 0.9658203125}, {"start": 1394.34, "end": 1395.14, "word": " فالفرق", "probability": 0.742041015625}, {"start": 1395.14, "end": 1395.42, "word": " هذا", "probability": 0.83056640625}, {"start": 1395.42, "end": 1395.8, "word": " positive", "probability": 0.8525390625}], "temperature": 1.0}, {"id": 52, "seek": 142500, "start": 1397.08, "end": 1425.0, "text": "و A B فبطلع هذا مقلوب ال positive بطلع positive فهذا positive و هذا positive و ال 6 دي closed under multiplication إذن حاصر الضربة ده بطلع positive لكون حاصر الضرب هنا العناصر فيه موجبة وبالتالي", "tokens": [2407, 316, 363, 6156, 3555, 9566, 1211, 3615, 23758, 3714, 4587, 1211, 37746, 2423, 3353, 4724, 9566, 1211, 3615, 3353, 6156, 3224, 15730, 3353, 4032, 23758, 3353, 4032, 2423, 1386, 11778, 1829, 5395, 833, 27290, 11933, 8848, 1863, 11331, 33546, 2288, 6024, 114, 25513, 3660, 11778, 3224, 4724, 9566, 1211, 3615, 3353, 5296, 30544, 11331, 33546, 2288, 6024, 114, 25513, 34105, 18863, 1863, 33546, 2288, 8978, 3224, 3714, 29245, 49401, 46599, 6027, 2655, 6027, 1829], "avg_logprob": -0.27569900021741267, "compression_ratio": 1.6764705882352942, "no_speech_prob": 0.0, "words": [{"start": 1397.08, "end": 1397.44, "word": "و", "probability": 0.599609375}, {"start": 1397.44, "end": 1397.7, "word": " A", "probability": 0.1553955078125}, {"start": 1397.7, "end": 1398.18, "word": " B", "probability": 0.22412109375}, {"start": 1398.18, "end": 1403.78, "word": " فبطلع", "probability": 0.651611328125}, {"start": 1403.78, "end": 1404.1, "word": " هذا", "probability": 0.8662109375}, {"start": 1404.1, "end": 1404.62, "word": " مقلوب", "probability": 0.912353515625}, {"start": 1404.62, "end": 1404.76, "word": " ال", "probability": 0.763671875}, {"start": 1404.76, "end": 1405.1, "word": " positive", "probability": 0.783203125}, {"start": 1405.1, "end": 1405.5, "word": " بطلع", "probability": 0.8511962890625}, {"start": 1405.5, "end": 1405.98, "word": " positive", "probability": 0.9169921875}, {"start": 1405.98, "end": 1409.2, "word": " فهذا", "probability": 0.9412434895833334}, {"start": 1409.2, "end": 1409.62, "word": " positive", "probability": 0.9326171875}, {"start": 1409.62, "end": 1409.86, "word": " و", "probability": 0.453369140625}, {"start": 1409.86, "end": 1410.02, "word": " هذا", "probability": 0.93017578125}, {"start": 1410.02, "end": 1410.64, "word": " positive", "probability": 0.95166015625}, {"start": 1410.64, "end": 1411.44, "word": " و", "probability": 0.76220703125}, {"start": 1411.44, "end": 1411.6, "word": " ال", "probability": 0.5908203125}, {"start": 1411.6, "end": 1411.86, "word": " 6", "probability": 0.407470703125}, {"start": 1411.86, "end": 1412.16, "word": " دي", "probability": 0.55377197265625}, {"start": 1412.16, "end": 1412.6, "word": " closed", "probability": 0.759765625}, {"start": 1412.6, "end": 1413.12, "word": " under", "probability": 0.8681640625}, {"start": 1413.12, "end": 1414.08, "word": " multiplication", "probability": 0.88671875}, {"start": 1414.08, "end": 1414.54, "word": " إذن", "probability": 0.5454915364583334}, {"start": 1414.54, "end": 1414.94, "word": " حاصر", "probability": 0.7483723958333334}, {"start": 1414.94, "end": 1415.46, "word": " الضربة", "probability": 0.7967529296875}, {"start": 1415.46, "end": 1415.58, "word": " ده", "probability": 0.88818359375}, {"start": 1415.58, "end": 1415.88, "word": " بطلع", "probability": 0.9349365234375}, {"start": 1415.88, "end": 1416.4, "word": " positive", "probability": 0.95166015625}, {"start": 1416.4, "end": 1418.56, "word": " لكون", "probability": 0.9755859375}, {"start": 1418.56, "end": 1419.14, "word": " حاصر", "probability": 0.98388671875}, {"start": 1419.14, "end": 1419.52, "word": " الضرب", "probability": 0.97265625}, {"start": 1419.52, "end": 1419.86, "word": " هنا", "probability": 0.79296875}, {"start": 1419.86, "end": 1421.78, "word": " العناصر", "probability": 0.9263916015625}, {"start": 1421.78, "end": 1422.02, "word": " فيه", "probability": 0.90771484375}, {"start": 1422.02, "end": 1422.44, "word": " موجبة", "probability": 0.661376953125}, {"start": 1422.44, "end": 1425.0, "word": " وبالتالي", "probability": 0.91083984375}], "temperature": 1.0}, {"id": 53, "seek": 145003, "start": 1426.17, "end": 1450.03, "text": "إذا .. إذا هذا بيطلع أكبر من الصفر هذا بيطلع الفرق أكبر من أوم وجب وبالتالي واحد على أيه أكبر من واحد على بيه okay الأجزاء المتبقية D وE وH ممكن برهانة بالمثل فاحنا دايما بنسيب للطالب شوية حاجات يثبتها", "tokens": [28814, 15730, 4386, 11933, 15730, 23758, 4724, 1829, 9566, 1211, 3615, 5551, 4117, 26890, 9154, 31767, 5172, 2288, 23758, 4724, 1829, 9566, 1211, 3615, 27188, 2288, 4587, 5551, 4117, 26890, 9154, 5551, 20498, 49610, 3555, 46599, 6027, 2655, 6027, 1829, 36764, 24401, 15844, 36632, 3224, 5551, 4117, 26890, 9154, 36764, 24401, 15844, 4724, 1829, 3224, 1392, 16247, 7435, 11622, 16606, 9673, 2655, 3555, 4587, 10632, 413, 4032, 36, 4032, 39, 3714, 43020, 4724, 2288, 3224, 7649, 3660, 20666, 2304, 12984, 1211, 6156, 39319, 8315, 11778, 47302, 15042, 44945, 3794, 1829, 3555, 24976, 9566, 6027, 3555, 13412, 2407, 10632, 11331, 26108, 9307, 7251, 12984, 3555, 2655, 11296], "avg_logprob": -0.17289719514757673, "compression_ratio": 1.7878787878787878, "no_speech_prob": 0.0, "words": [{"start": 1426.17, "end": 1426.65, "word": "إذا", "probability": 0.5860595703125}, {"start": 1426.65, "end": 1427.17, "word": " ..", "probability": 0.25}, {"start": 1427.17, "end": 1429.13, "word": " إذا", "probability": 0.904052734375}, {"start": 1429.13, "end": 1429.57, "word": " هذا", "probability": 0.91552734375}, {"start": 1429.57, "end": 1430.09, "word": " بيطلع", "probability": 0.8376953125}, {"start": 1430.09, "end": 1430.67, "word": " أكبر", "probability": 0.9431966145833334}, {"start": 1430.67, "end": 1430.85, "word": " من", "probability": 0.9951171875}, {"start": 1430.85, "end": 1431.35, "word": " الصفر", "probability": 0.8597005208333334}, {"start": 1431.35, "end": 1432.41, "word": " هذا", "probability": 0.495361328125}, {"start": 1432.41, "end": 1432.87, "word": " بيطلع", "probability": 0.968359375}, {"start": 1432.87, "end": 1433.45, "word": " الفرق", "probability": 0.9679361979166666}, {"start": 1433.45, "end": 1433.89, "word": " أكبر", "probability": 0.9611002604166666}, {"start": 1433.89, "end": 1434.07, "word": " من", "probability": 0.98779296875}, {"start": 1434.07, "end": 1434.33, "word": " أوم", "probability": 0.653564453125}, {"start": 1434.33, "end": 1434.77, "word": " وجب", "probability": 0.6539306640625}, {"start": 1434.77, "end": 1436.03, "word": " وبالتالي", "probability": 0.9359375}, {"start": 1436.03, "end": 1436.41, "word": " واحد", "probability": 0.937744140625}, {"start": 1436.41, "end": 1436.61, "word": " على", "probability": 0.697265625}, {"start": 1436.61, "end": 1436.91, "word": " أيه", "probability": 0.5682373046875}, {"start": 1436.91, "end": 1437.35, "word": " أكبر", "probability": 0.9599609375}, {"start": 1437.35, "end": 1437.53, "word": " من", "probability": 0.9892578125}, {"start": 1437.53, "end": 1438.03, "word": " واحد", "probability": 0.99169921875}, {"start": 1438.03, "end": 1438.25, "word": " على", "probability": 0.892578125}, {"start": 1438.25, "end": 1438.91, "word": " بيه", "probability": 0.7332356770833334}, {"start": 1438.91, "end": 1439.35, "word": " okay", "probability": 0.30419921875}, {"start": 1439.35, "end": 1440.81, "word": " الأجزاء", "probability": 0.8863525390625}, {"start": 1440.81, "end": 1441.67, "word": " المتبقية", "probability": 0.990234375}, {"start": 1441.67, "end": 1441.99, "word": " D", "probability": 0.669921875}, {"start": 1441.99, "end": 1442.43, "word": " وE", "probability": 0.665771484375}, {"start": 1442.43, "end": 1442.83, "word": " وH", "probability": 0.962890625}, {"start": 1442.83, "end": 1443.11, "word": " ممكن", "probability": 0.873291015625}, {"start": 1443.11, "end": 1443.77, "word": " برهانة", "probability": 0.8724609375}, {"start": 1443.77, "end": 1444.93, "word": " بالمثل", "probability": 0.9725341796875}, {"start": 1444.93, "end": 1445.61, "word": " فاحنا", "probability": 0.9044596354166666}, {"start": 1445.61, "end": 1445.87, "word": " دايما", "probability": 0.803466796875}, {"start": 1445.87, "end": 1446.45, "word": " بنسيب", "probability": 0.9193115234375}, {"start": 1446.45, "end": 1446.97, "word": " للطالب", "probability": 0.8486328125}, {"start": 1446.97, "end": 1447.65, "word": " شوية", "probability": 0.9386393229166666}, {"start": 1447.65, "end": 1448.37, "word": " حاجات", "probability": 0.9928385416666666}, {"start": 1448.37, "end": 1450.03, "word": " يثبتها", "probability": 0.9923828125}], "temperature": 1.0}, {"id": 54, "seek": 148098, "start": 1451.3, "end": 1480.98, "text": "يعني عشان ان الطالب يشارك شوية و إلا بيصير عملية التدريس مملة لو احنا بدنا نشرحلكم كل حاجة و مانخلش ولا إيش للطالب فبصير عملية مملة و بعدين الفهم بكون ماخص كل ما انت شاركت أكتر كل ما شعرتي أو حسيتي بالمعلومة أكتر و كل ما فهمتيها أكتر فالحاجات هذه بالإضافة للتمارين اللي في نهاية كل section في الكتاب", "tokens": [40228, 22653, 6225, 8592, 7649, 16472, 41950, 6027, 3555, 7251, 8592, 9640, 4117, 13412, 2407, 10632, 4032, 11933, 15040, 4724, 1829, 9381, 13546, 6225, 42213, 10632, 16712, 3215, 16572, 3794, 3714, 42213, 3660, 45164, 1975, 5016, 8315, 47525, 8315, 8717, 46309, 5016, 23275, 2304, 28242, 11331, 26108, 3660, 4032, 19446, 1863, 9778, 1211, 8592, 49429, 11933, 1829, 8592, 24976, 9566, 6027, 3555, 6156, 3555, 9381, 13546, 6225, 42213, 10632, 3714, 42213, 3660, 4032, 39182, 9957, 27188, 16095, 4724, 30544, 3714, 47283, 9381, 28242, 19446, 16472, 2655, 13412, 9640, 4117, 2655, 5551, 4117, 2655, 2288, 28242, 19446, 13412, 3615, 2288, 31371, 34051, 11331, 3794, 1829, 31371, 20666, 2304, 30241, 20498, 3660, 5551, 4117, 2655, 2288, 4032, 28242, 19446, 6156, 16095, 31371, 11296, 5551, 4117, 2655, 2288, 6156, 6027, 5016, 26108, 9307, 29538, 20666, 28814, 11242, 31845, 3660, 24976, 39237, 9640, 9957, 13672, 1829, 8978, 8717, 11296, 10632, 28242, 3541, 8978, 33251, 2655, 16758], "avg_logprob": -0.17892156706915963, "compression_ratio": 2.0037593984962405, "no_speech_prob": 0.0, "words": [{"start": 1451.3, "end": 1451.82, "word": "يعني", "probability": 0.951416015625}, {"start": 1451.82, "end": 1452.26, "word": " عشان", "probability": 0.9650065104166666}, {"start": 1452.26, "end": 1452.54, "word": " ان", "probability": 0.10064697265625}, {"start": 1452.54, "end": 1453.02, "word": " الطالب", "probability": 0.9869791666666666}, {"start": 1453.02, "end": 1453.54, "word": " يشارك", "probability": 0.9801025390625}, {"start": 1453.54, "end": 1453.96, "word": " شوية", "probability": 0.8575846354166666}, {"start": 1453.96, "end": 1454.14, "word": " و", "probability": 0.6455078125}, {"start": 1454.14, "end": 1454.44, "word": " إلا", "probability": 0.6295166015625}, {"start": 1454.44, "end": 1455.06, "word": " بيصير", "probability": 0.77783203125}, {"start": 1455.06, "end": 1455.74, "word": " عملية", "probability": 0.8483072916666666}, {"start": 1455.74, "end": 1456.2, "word": " التدريس", "probability": 0.95166015625}, {"start": 1456.2, "end": 1456.74, "word": " مملة", "probability": 0.93798828125}, {"start": 1456.74, "end": 1457.46, "word": " لو", "probability": 0.8662109375}, {"start": 1457.46, "end": 1457.68, "word": " احنا", "probability": 0.8829752604166666}, {"start": 1457.68, "end": 1457.92, "word": " بدنا", "probability": 0.619873046875}, {"start": 1457.92, "end": 1458.42, "word": " نشرحلكم", "probability": 0.814013671875}, {"start": 1458.42, "end": 1458.72, "word": " كل", "probability": 0.9853515625}, {"start": 1458.72, "end": 1459.3, "word": " حاجة", "probability": 0.9967447916666666}, {"start": 1459.3, "end": 1459.56, "word": " و", "probability": 0.70654296875}, {"start": 1459.56, "end": 1460.02, "word": " مانخلش", "probability": 0.7236328125}, {"start": 1460.02, "end": 1460.24, "word": " ولا", "probability": 0.8115234375}, {"start": 1460.24, "end": 1460.44, "word": " إيش", "probability": 0.7208658854166666}, {"start": 1460.44, "end": 1461.08, "word": " للطالب", "probability": 0.8740234375}, {"start": 1461.08, "end": 1462.3, "word": " فبصير", "probability": 0.915283203125}, {"start": 1462.3, "end": 1462.78, "word": " عملية", "probability": 0.9905598958333334}, {"start": 1462.78, "end": 1463.58, "word": " مملة", "probability": 0.97412109375}, {"start": 1463.58, "end": 1463.8, "word": " و", "probability": 0.78857421875}, {"start": 1463.8, "end": 1464.68, "word": " بعدين", "probability": 0.93896484375}, {"start": 1464.68, "end": 1465.36, "word": " الفهم", "probability": 0.939697265625}, {"start": 1465.36, "end": 1465.88, "word": " بكون", "probability": 0.7978515625}, {"start": 1465.88, "end": 1466.52, "word": " ماخص", "probability": 0.5611165364583334}, {"start": 1466.52, "end": 1467.5, "word": " كل", "probability": 0.7939453125}, {"start": 1467.5, "end": 1467.64, "word": " ما", "probability": 0.84716796875}, {"start": 1467.64, "end": 1467.88, "word": " انت", "probability": 0.74267578125}, {"start": 1467.88, "end": 1468.34, "word": " شاركت", "probability": 0.9139404296875}, {"start": 1468.34, "end": 1468.76, "word": " أكتر", "probability": 0.9208984375}, {"start": 1468.76, "end": 1469.08, "word": " كل", "probability": 0.96875}, {"start": 1469.08, "end": 1469.34, "word": " ما", "probability": 0.875}, {"start": 1469.34, "end": 1471.16, "word": " شعرتي", "probability": 0.8883056640625}, {"start": 1471.16, "end": 1471.28, "word": " أو", "probability": 0.90478515625}, {"start": 1471.28, "end": 1471.86, "word": " حسيتي", "probability": 0.8580322265625}, {"start": 1471.86, "end": 1472.6, "word": " بالمعلومة", "probability": 0.9798828125}, {"start": 1472.6, "end": 1473.04, "word": " أكتر", "probability": 0.9766845703125}, {"start": 1473.04, "end": 1473.74, "word": " و", "probability": 0.80517578125}, {"start": 1473.74, "end": 1473.86, "word": " كل", "probability": 0.9296875}, {"start": 1473.86, "end": 1473.98, "word": " ما", "probability": 0.96044921875}, {"start": 1473.98, "end": 1474.54, "word": " فهمتيها", "probability": 0.94140625}, {"start": 1474.54, "end": 1475.02, "word": " أكتر", "probability": 0.971435546875}, {"start": 1475.02, "end": 1476.62, "word": " فالحاجات", "probability": 0.74598388671875}, {"start": 1476.62, "end": 1476.9, "word": " هذه", "probability": 0.75830078125}, {"start": 1476.9, "end": 1477.46, "word": " بالإضافة", "probability": 0.887890625}, {"start": 1477.46, "end": 1478.26, "word": " للتمارين", "probability": 0.826171875}, {"start": 1478.26, "end": 1479.14, "word": " اللي", "probability": 0.875732421875}, {"start": 1479.14, "end": 1479.3, "word": " في", "probability": 0.9541015625}, {"start": 1479.3, "end": 1479.68, "word": " نهاية", "probability": 0.9793294270833334}, {"start": 1479.68, "end": 1479.94, "word": " كل", "probability": 0.9921875}, {"start": 1479.94, "end": 1480.32, "word": " section", "probability": 0.91357421875}, {"start": 1480.32, "end": 1480.5, "word": " في", "probability": 0.9052734375}, {"start": 1480.5, "end": 1480.98, "word": " الكتاب", "probability": 0.9767252604166666}], "temperature": 1.0}, {"id": 55, "seek": 150268, "start": 1481.74, "end": 1502.68, "text": "حالها كتير بساعد في فهم المادة بدون ذلك بظل فهمكم نقص ننتقل إلى نظرية أخرى نظرية واحد ستة نظرية هذه نظرية يعني بسيطة ومهمة", "tokens": [5016, 6027, 11296, 9122, 2655, 13546, 4724, 3794, 995, 22488, 8978, 6156, 16095, 9673, 18513, 3660, 47525, 11536, 29910, 23275, 4724, 19913, 1211, 6156, 16095, 24793, 8717, 4587, 9381, 8717, 29399, 4587, 1211, 30731, 8717, 19913, 2288, 10632, 5551, 34740, 7578, 8717, 19913, 2288, 10632, 36764, 24401, 8608, 2655, 3660, 8717, 19913, 2288, 10632, 29538, 8717, 19913, 2288, 10632, 37495, 22653, 4724, 3794, 1829, 9566, 3660, 4032, 2304, 16095, 3660], "avg_logprob": -0.12555017017982376, "compression_ratio": 1.6492537313432836, "no_speech_prob": 0.0, "words": [{"start": 1481.74, "end": 1482.86, "word": "حالها", "probability": 0.7926432291666666}, {"start": 1482.86, "end": 1483.24, "word": " كتير", "probability": 0.93505859375}, {"start": 1483.24, "end": 1483.84, "word": " بساعد", "probability": 0.9549560546875}, {"start": 1483.84, "end": 1484.02, "word": " في", "probability": 0.77880859375}, {"start": 1484.02, "end": 1484.44, "word": " فهم", "probability": 0.948974609375}, {"start": 1484.44, "end": 1485.18, "word": " المادة", "probability": 0.9684244791666666}, {"start": 1485.18, "end": 1486.46, "word": " بدون", "probability": 0.915283203125}, {"start": 1486.46, "end": 1486.98, "word": " ذلك", "probability": 0.9912109375}, {"start": 1486.98, "end": 1487.56, "word": " بظل", "probability": 0.6327311197916666}, {"start": 1487.56, "end": 1488.16, "word": " فهمكم", "probability": 0.93701171875}, {"start": 1488.16, "end": 1488.68, "word": " نقص", "probability": 0.7180989583333334}, {"start": 1488.68, "end": 1490.08, "word": " ننتقل", "probability": 0.8831787109375}, {"start": 1490.08, "end": 1490.24, "word": " إلى", "probability": 0.51025390625}, {"start": 1490.24, "end": 1490.88, "word": " نظرية", "probability": 0.98388671875}, {"start": 1490.88, "end": 1493.36, "word": " أخرى", "probability": 0.8876953125}, {"start": 1493.36, "end": 1495.64, "word": " نظرية", "probability": 0.8826904296875}, {"start": 1495.64, "end": 1495.94, "word": " واحد", "probability": 0.940673828125}, {"start": 1495.94, "end": 1497.42, "word": " ستة", "probability": 0.9091796875}, {"start": 1497.42, "end": 1498.44, "word": " نظرية", "probability": 0.8929443359375}, {"start": 1498.44, "end": 1498.74, "word": " هذه", "probability": 0.69189453125}, {"start": 1498.74, "end": 1499.48, "word": " نظرية", "probability": 0.982666015625}, {"start": 1499.48, "end": 1500.08, "word": " يعني", "probability": 0.9423828125}, {"start": 1500.08, "end": 1501.64, "word": " بسيطة", "probability": 0.9921875}, {"start": 1501.64, "end": 1502.68, "word": " ومهمة", "probability": 0.9776611328125}], "temperature": 1.0}, {"id": 56, "seek": 152919, "start": 1504.73, "end": 1529.19, "text": "رغم بساطتها لكن مهمة إيش بتقول النظرية هذه بتقول لو أخدت أي عددين حقيقين و a أكبر من b فلازم يكون a أكبر من متوسط a و b و أكبر من b البرهان بسيط هي عند الفرض أنا فارض أن a أكبر من b", "tokens": [2288, 17082, 2304, 4724, 3794, 41193, 2655, 11296, 44381, 3714, 16095, 3660, 11933, 1829, 8592, 39894, 39648, 28239, 19913, 2288, 10632, 29538, 39894, 39648, 45164, 5551, 9778, 3215, 2655, 36632, 6225, 3215, 3215, 9957, 11331, 38436, 4587, 9957, 4032, 257, 5551, 4117, 26890, 9154, 272, 6156, 1211, 31377, 2304, 7251, 30544, 257, 5551, 4117, 26890, 9154, 44650, 41779, 9566, 257, 4032, 272, 4032, 5551, 4117, 26890, 9154, 272, 2423, 26890, 3224, 7649, 4724, 3794, 1829, 9566, 39896, 43242, 27188, 43042, 41850, 6156, 9640, 11242, 14739, 257, 5551, 4117, 26890, 9154, 272], "avg_logprob": -0.150390623866216, "compression_ratio": 1.7670454545454546, "no_speech_prob": 0.0, "words": [{"start": 1504.73, "end": 1505.19, "word": "رغم", "probability": 0.8995768229166666}, {"start": 1505.19, "end": 1505.79, "word": " بساطتها", "probability": 0.9564453125}, {"start": 1505.79, "end": 1506.05, "word": " لكن", "probability": 0.69091796875}, {"start": 1506.05, "end": 1506.75, "word": " مهمة", "probability": 0.97998046875}, {"start": 1506.75, "end": 1507.67, "word": " إيش", "probability": 0.72216796875}, {"start": 1507.67, "end": 1507.99, "word": " بتقول", "probability": 0.9853515625}, {"start": 1507.99, "end": 1508.51, "word": " النظرية", "probability": 0.9515380859375}, {"start": 1508.51, "end": 1508.99, "word": " هذه", "probability": 0.728515625}, {"start": 1508.99, "end": 1509.83, "word": " بتقول", "probability": 0.823974609375}, {"start": 1509.83, "end": 1509.99, "word": " لو", "probability": 0.89013671875}, {"start": 1509.99, "end": 1510.35, "word": " أخدت", "probability": 0.9468994140625}, {"start": 1510.35, "end": 1510.51, "word": " أي", "probability": 0.84228515625}, {"start": 1510.51, "end": 1510.95, "word": " عددين", "probability": 0.9522705078125}, {"start": 1510.95, "end": 1511.75, "word": " حقيقين", "probability": 0.83203125}, {"start": 1511.75, "end": 1513.13, "word": " و", "probability": 0.86474609375}, {"start": 1513.13, "end": 1513.35, "word": " a", "probability": 0.30078125}, {"start": 1513.35, "end": 1513.83, "word": " أكبر", "probability": 0.974609375}, {"start": 1513.83, "end": 1514.03, "word": " من", "probability": 0.98291015625}, {"start": 1514.03, "end": 1514.37, "word": " b", "probability": 0.931640625}, {"start": 1514.37, "end": 1515.59, "word": " فلازم", "probability": 0.9305419921875}, {"start": 1515.59, "end": 1515.93, "word": " يكون", "probability": 0.990966796875}, {"start": 1515.93, "end": 1516.25, "word": " a", "probability": 0.98388671875}, {"start": 1516.25, "end": 1516.79, "word": " أكبر", "probability": 0.9768880208333334}, {"start": 1516.79, "end": 1517.01, "word": " من", "probability": 0.990234375}, {"start": 1517.01, "end": 1517.79, "word": " متوسط", "probability": 0.9786783854166666}, {"start": 1517.79, "end": 1518.03, "word": " a", "probability": 0.92724609375}, {"start": 1518.03, "end": 1518.19, "word": " و", "probability": 0.9736328125}, {"start": 1518.19, "end": 1518.47, "word": " b", "probability": 0.67138671875}, {"start": 1518.47, "end": 1519.53, "word": " و", "probability": 0.734375}, {"start": 1519.53, "end": 1519.97, "word": " أكبر", "probability": 0.97509765625}, {"start": 1519.97, "end": 1520.17, "word": " من", "probability": 0.99658203125}, {"start": 1520.17, "end": 1520.57, "word": " b", "probability": 0.51806640625}, {"start": 1520.57, "end": 1522.97, "word": " البرهان", "probability": 0.746124267578125}, {"start": 1522.97, "end": 1524.63, "word": " بسيط", "probability": 0.9951171875}, {"start": 1524.63, "end": 1526.31, "word": " هي", "probability": 0.180419921875}, {"start": 1526.31, "end": 1526.55, "word": " عند", "probability": 0.94873046875}, {"start": 1526.55, "end": 1527.03, "word": " الفرض", "probability": 0.9560546875}, {"start": 1527.03, "end": 1527.27, "word": " أنا", "probability": 0.638671875}, {"start": 1527.27, "end": 1527.73, "word": " فارض", "probability": 0.96728515625}, {"start": 1527.73, "end": 1527.89, "word": " أن", "probability": 0.677734375}, {"start": 1527.89, "end": 1528.23, "word": " a", "probability": 0.923828125}, {"start": 1528.23, "end": 1528.75, "word": " أكبر", "probability": 0.9680989583333334}, {"start": 1528.75, "end": 1528.95, "word": " من", "probability": 0.97998046875}, {"start": 1528.95, "end": 1529.19, "word": " b", "probability": 0.98876953125}], "temperature": 1.0}, {"id": 57, "seek": 154923, "start": 1530.81, "end": 1549.23, "text": "بتثبت أن a أكبر من نص مجموعة a و b و نص مجموعة a و b أكبر من b طيب نثبت المتباينة الأولى هذه نثبت المتباينة الأولى الأول بعدين نثبت التانية", "tokens": [3555, 2655, 12984, 3555, 2655, 14739, 257, 5551, 4117, 26890, 9154, 8717, 9381, 3714, 7435, 2304, 2407, 27884, 257, 4032, 272, 4032, 8717, 9381, 3714, 7435, 2304, 2407, 27884, 257, 4032, 272, 5551, 4117, 26890, 9154, 272, 23032, 1829, 3555, 8717, 12984, 3555, 2655, 9673, 2655, 3555, 995, 9957, 3660, 16247, 12610, 7578, 29538, 8717, 12984, 3555, 2655, 9673, 2655, 3555, 995, 9957, 3660, 16247, 12610, 7578, 16247, 12610, 39182, 9957, 8717, 12984, 3555, 2655, 16712, 7649, 10632], "avg_logprob": -0.18028086046629313, "compression_ratio": 2.1043478260869564, "no_speech_prob": 0.0, "words": [{"start": 1530.81, "end": 1531.53, "word": "بتثبت", "probability": 0.6274658203125}, {"start": 1531.53, "end": 1531.69, "word": " أن", "probability": 0.45556640625}, {"start": 1531.69, "end": 1531.89, "word": " a", "probability": 0.49609375}, {"start": 1531.89, "end": 1532.33, "word": " أكبر", "probability": 0.8995768229166666}, {"start": 1532.33, "end": 1532.55, "word": " من", "probability": 0.9677734375}, {"start": 1532.55, "end": 1532.81, "word": " نص", "probability": 0.967041015625}, {"start": 1532.81, "end": 1533.35, "word": " مجموعة", "probability": 0.89638671875}, {"start": 1533.35, "end": 1533.49, "word": " a", "probability": 0.8896484375}, {"start": 1533.49, "end": 1533.61, "word": " و", "probability": 0.70654296875}, {"start": 1533.61, "end": 1533.91, "word": " b", "probability": 0.457275390625}, {"start": 1533.91, "end": 1534.25, "word": " و", "probability": 0.826171875}, {"start": 1534.25, "end": 1534.99, "word": " نص", "probability": 0.90576171875}, {"start": 1534.99, "end": 1535.49, "word": " مجموعة", "probability": 0.9388671875}, {"start": 1535.49, "end": 1535.77, "word": " a", "probability": 0.94482421875}, {"start": 1535.77, "end": 1536.15, "word": " و", "probability": 0.912109375}, {"start": 1536.15, "end": 1536.47, "word": " b", "probability": 0.88134765625}, {"start": 1536.47, "end": 1537.23, "word": " أكبر", "probability": 0.9698893229166666}, {"start": 1537.23, "end": 1537.47, "word": " من", "probability": 0.96923828125}, {"start": 1537.47, "end": 1537.73, "word": " b", "probability": 0.87451171875}, {"start": 1537.73, "end": 1539.33, "word": " طيب", "probability": 0.8689778645833334}, {"start": 1539.33, "end": 1539.73, "word": " نثبت", "probability": 0.937255859375}, {"start": 1539.73, "end": 1540.45, "word": " المتباينة", "probability": 0.91943359375}, {"start": 1540.45, "end": 1540.79, "word": " الأولى", "probability": 0.9305013020833334}, {"start": 1540.79, "end": 1541.13, "word": " هذه", "probability": 0.4208984375}, {"start": 1541.13, "end": 1543.35, "word": " نثبت", "probability": 0.8843994140625}, {"start": 1543.35, "end": 1544.11, "word": " المتباينة", "probability": 0.99072265625}, {"start": 1544.11, "end": 1544.49, "word": " الأولى", "probability": 0.9833984375}, {"start": 1544.49, "end": 1544.93, "word": " الأول", "probability": 0.9638671875}, {"start": 1544.93, "end": 1546.63, "word": " بعدين", "probability": 0.591552734375}, {"start": 1546.63, "end": 1547.23, "word": " نثبت", "probability": 0.9940185546875}, {"start": 1547.23, "end": 1549.23, "word": " التانية", "probability": 0.9524739583333334}], "temperature": 1.0}, {"id": 58, "seek": 157581, "start": 1552.81, "end": 1575.81, "text": "فالإثبات الجزء الأول فهي عندي a أكبر من b إذا لو جمعت a على نفسها ده اتنين a لو جمعت على الطرفين a فبطلع عندي a زائد a أكبر من b زاد a هذه خاصية أخدناها قبل a إذا اتنين a بيطلع أكبر من a زائد b", "tokens": [5172, 6027, 28814, 12984, 3555, 9307, 25724, 11622, 38207, 16247, 12610, 6156, 3224, 1829, 18871, 16254, 257, 5551, 4117, 26890, 9154, 272, 11933, 15730, 45164, 10874, 2304, 34268, 257, 15844, 8717, 36178, 11296, 11778, 3224, 1975, 2655, 1863, 9957, 257, 45164, 10874, 2304, 34268, 15844, 41950, 28480, 9957, 257, 6156, 3555, 9566, 1211, 3615, 18871, 16254, 257, 30767, 16373, 3215, 257, 5551, 4117, 26890, 9154, 272, 30767, 18513, 257, 29538, 16490, 33546, 10632, 5551, 9778, 3215, 8315, 11296, 12174, 36150, 257, 11933, 15730, 1975, 2655, 1863, 9957, 257, 4724, 1829, 9566, 1211, 3615, 5551, 4117, 26890, 9154, 257, 30767, 16373, 3215, 272], "avg_logprob": -0.17460558917915936, "compression_ratio": 1.912280701754386, "no_speech_prob": 0.0, "words": [{"start": 1552.81, "end": 1553.57, "word": "فالإثبات", "probability": 0.5961710611979166}, {"start": 1553.57, "end": 1554.01, "word": " الجزء", "probability": 0.8878580729166666}, {"start": 1554.01, "end": 1554.57, "word": " الأول", "probability": 0.982177734375}, {"start": 1554.57, "end": 1555.69, "word": " فهي", "probability": 0.7991536458333334}, {"start": 1555.69, "end": 1555.99, "word": " عندي", "probability": 0.802978515625}, {"start": 1555.99, "end": 1556.09, "word": " a", "probability": 0.64990234375}, {"start": 1556.09, "end": 1556.51, "word": " أكبر", "probability": 0.9475911458333334}, {"start": 1556.51, "end": 1556.71, "word": " من", "probability": 0.97900390625}, {"start": 1556.71, "end": 1557.03, "word": " b", "probability": 0.955078125}, {"start": 1557.03, "end": 1558.37, "word": " إذا", "probability": 0.6884765625}, {"start": 1558.37, "end": 1559.53, "word": " لو", "probability": 0.93359375}, {"start": 1559.53, "end": 1560.03, "word": " جمعت", "probability": 0.9920247395833334}, {"start": 1560.03, "end": 1560.39, "word": " a", "probability": 0.8994140625}, {"start": 1560.39, "end": 1560.67, "word": " على", "probability": 0.9013671875}, {"start": 1560.67, "end": 1561.21, "word": " نفسها", "probability": 0.98876953125}, {"start": 1561.21, "end": 1561.39, "word": " ده", "probability": 0.7294921875}, {"start": 1561.39, "end": 1561.77, "word": " اتنين", "probability": 0.86248779296875}, {"start": 1561.77, "end": 1562.19, "word": " a", "probability": 0.9375}, {"start": 1562.19, "end": 1565.17, "word": " لو", "probability": 0.54150390625}, {"start": 1565.17, "end": 1565.67, "word": " جمعت", "probability": 0.99658203125}, {"start": 1565.67, "end": 1565.85, "word": " على", "probability": 0.828125}, {"start": 1565.85, "end": 1566.65, "word": " الطرفين", "probability": 0.9479166666666666}, {"start": 1566.65, "end": 1567.11, "word": " a", "probability": 0.96826171875}, {"start": 1567.11, "end": 1568.23, "word": " فبطلع", "probability": 0.9232421875}, {"start": 1568.23, "end": 1568.53, "word": " عندي", "probability": 0.8857421875}, {"start": 1568.53, "end": 1568.77, "word": " a", "probability": 0.92138671875}, {"start": 1568.77, "end": 1569.25, "word": " زائد", "probability": 0.876953125}, {"start": 1569.25, "end": 1569.49, "word": " a", "probability": 0.9892578125}, {"start": 1569.49, "end": 1570.01, "word": " أكبر", "probability": 0.9814453125}, {"start": 1570.01, "end": 1570.23, "word": " من", "probability": 0.9921875}, {"start": 1570.23, "end": 1570.47, "word": " b", "probability": 0.9443359375}, {"start": 1570.47, "end": 1570.85, "word": " زاد", "probability": 0.7763671875}, {"start": 1570.85, "end": 1570.97, "word": " a", "probability": 0.98486328125}, {"start": 1570.97, "end": 1571.17, "word": " هذه", "probability": 0.3720703125}, {"start": 1571.17, "end": 1571.63, "word": " خاصية", "probability": 0.9658203125}, {"start": 1571.63, "end": 1572.11, "word": " أخدناها", "probability": 0.770068359375}, {"start": 1572.11, "end": 1572.33, "word": " قبل", "probability": 0.89892578125}, {"start": 1572.33, "end": 1572.57, "word": " a", "probability": 0.8720703125}, {"start": 1572.57, "end": 1573.45, "word": " إذا", "probability": 0.81787109375}, {"start": 1573.45, "end": 1573.91, "word": " اتنين", "probability": 0.8905029296875}, {"start": 1573.91, "end": 1574.11, "word": " a", "probability": 0.9599609375}, {"start": 1574.11, "end": 1574.51, "word": " بيطلع", "probability": 0.8818359375}, {"start": 1574.51, "end": 1574.87, "word": " أكبر", "probability": 0.947265625}, {"start": 1574.87, "end": 1575.05, "word": " من", "probability": 0.990234375}, {"start": 1575.05, "end": 1575.25, "word": " a", "probability": 0.982421875}, {"start": 1575.25, "end": 1575.61, "word": " زائد", "probability": 0.8821614583333334}, {"start": 1575.61, "end": 1575.81, "word": " b", "probability": 0.97216796875}], "temperature": 1.0}, {"id": 59, "seek": 160498, "start": 1576.68, "end": 1604.98, "text": "كذلك لو جمعت على الطرفين هنا B فبطلع A زائد B أكبر من B زائد B A زائد B أكبر من B زائد B اللي هو اتنين B إذا أنا في عندي الآن متباينتين اتنين A أكبر من A زائد B هيا اتنين A أكبر من A زائد B وA زائد B أكبر من اتنين B إذا by transitivity", "tokens": [4117, 8848, 23275, 45164, 10874, 2304, 34268, 15844, 41950, 28480, 9957, 34105, 363, 6156, 3555, 9566, 1211, 3615, 316, 30767, 16373, 3215, 363, 5551, 4117, 26890, 9154, 363, 30767, 16373, 3215, 363, 316, 30767, 16373, 3215, 363, 5551, 4117, 26890, 9154, 363, 30767, 16373, 3215, 363, 13672, 1829, 31439, 1975, 2655, 1863, 9957, 363, 11933, 15730, 41850, 8978, 18871, 16254, 6024, 48506, 44650, 3555, 995, 9957, 2655, 9957, 1975, 2655, 1863, 9957, 316, 5551, 4117, 26890, 9154, 316, 30767, 16373, 3215, 363, 8032, 25528, 1975, 2655, 1863, 9957, 316, 5551, 4117, 26890, 9154, 316, 30767, 16373, 3215, 363, 4032, 32, 30767, 16373, 3215, 363, 5551, 4117, 26890, 9154, 1975, 2655, 1863, 9957, 363, 11933, 15730, 538, 17976, 4253], "avg_logprob": -0.15244221962800547, "compression_ratio": 2.165714285714286, "no_speech_prob": 0.0, "words": [{"start": 1576.68, "end": 1577.3, "word": "كذلك", "probability": 0.8902994791666666}, {"start": 1577.3, "end": 1577.52, "word": " لو", "probability": 0.7080078125}, {"start": 1577.52, "end": 1578.0, "word": " جمعت", "probability": 0.9910481770833334}, {"start": 1578.0, "end": 1578.18, "word": " على", "probability": 0.82666015625}, {"start": 1578.18, "end": 1578.96, "word": " الطرفين", "probability": 0.8409830729166666}, {"start": 1578.96, "end": 1579.68, "word": " هنا", "probability": 0.638671875}, {"start": 1579.68, "end": 1580.02, "word": " B", "probability": 0.29638671875}, {"start": 1580.02, "end": 1581.42, "word": " فبطلع", "probability": 0.83681640625}, {"start": 1581.42, "end": 1581.66, "word": " A", "probability": 0.5068359375}, {"start": 1581.66, "end": 1582.16, "word": " زائد", "probability": 0.560791015625}, {"start": 1582.16, "end": 1582.4, "word": " B", "probability": 0.9658203125}, {"start": 1582.4, "end": 1582.9, "word": " أكبر", "probability": 0.9293619791666666}, {"start": 1582.9, "end": 1583.12, "word": " من", "probability": 0.97607421875}, {"start": 1583.12, "end": 1583.3, "word": " B", "probability": 0.90283203125}, {"start": 1583.3, "end": 1583.68, "word": " زائد", "probability": 0.94384765625}, {"start": 1583.68, "end": 1583.88, "word": " B", "probability": 0.97021484375}, {"start": 1583.88, "end": 1584.22, "word": " A", "probability": 0.420654296875}, {"start": 1584.22, "end": 1584.6, "word": " زائد", "probability": 0.939453125}, {"start": 1584.6, "end": 1584.78, "word": " B", "probability": 0.9833984375}, {"start": 1584.78, "end": 1585.2, "word": " أكبر", "probability": 0.9723307291666666}, {"start": 1585.2, "end": 1585.38, "word": " من", "probability": 0.9912109375}, {"start": 1585.38, "end": 1585.58, "word": " B", "probability": 0.96923828125}, {"start": 1585.58, "end": 1585.88, "word": " زائد", "probability": 0.9601236979166666}, {"start": 1585.88, "end": 1586.04, "word": " B", "probability": 0.982421875}, {"start": 1586.04, "end": 1586.18, "word": " اللي", "probability": 0.86962890625}, {"start": 1586.18, "end": 1586.32, "word": " هو", "probability": 0.97705078125}, {"start": 1586.32, "end": 1586.64, "word": " اتنين", "probability": 0.8521728515625}, {"start": 1586.64, "end": 1586.84, "word": " B", "probability": 0.88330078125}, {"start": 1586.84, "end": 1588.0, "word": " إذا", "probability": 0.629638671875}, {"start": 1588.0, "end": 1588.22, "word": " أنا", "probability": 0.65380859375}, {"start": 1588.22, "end": 1588.4, "word": " في", "probability": 0.900390625}, {"start": 1588.4, "end": 1588.7, "word": " عندي", "probability": 0.8017578125}, {"start": 1588.7, "end": 1589.1, "word": " الآن", "probability": 0.5968017578125}, {"start": 1589.1, "end": 1591.12, "word": " متباينتين", "probability": 0.9252115885416666}, {"start": 1591.12, "end": 1591.94, "word": " اتنين", "probability": 0.9356689453125}, {"start": 1591.94, "end": 1592.32, "word": " A", "probability": 0.94384765625}, {"start": 1592.32, "end": 1593.22, "word": " أ��بر", "probability": 0.9744466145833334}, {"start": 1593.22, "end": 1593.44, "word": " من", "probability": 0.99462890625}, {"start": 1593.44, "end": 1593.68, "word": " A", "probability": 0.9833984375}, {"start": 1593.68, "end": 1594.06, "word": " زائد", "probability": 0.9739583333333334}, {"start": 1594.06, "end": 1594.48, "word": " B", "probability": 0.9912109375}, {"start": 1594.48, "end": 1594.86, "word": " هيا", "probability": 0.519287109375}, {"start": 1594.86, "end": 1596.18, "word": " اتنين", "probability": 0.9459228515625}, {"start": 1596.18, "end": 1596.64, "word": " A", "probability": 0.9794921875}, {"start": 1596.64, "end": 1597.56, "word": " أكبر", "probability": 0.9755859375}, {"start": 1597.56, "end": 1597.78, "word": " من", "probability": 0.99658203125}, {"start": 1597.78, "end": 1598.08, "word": " A", "probability": 0.9873046875}, {"start": 1598.08, "end": 1598.46, "word": " زائد", "probability": 0.9777018229166666}, {"start": 1598.46, "end": 1598.72, "word": " B", "probability": 0.994140625}, {"start": 1598.72, "end": 1599.96, "word": " وA", "probability": 0.62255859375}, {"start": 1599.96, "end": 1600.44, "word": " زائد", "probability": 0.9892578125}, {"start": 1600.44, "end": 1600.68, "word": " B", "probability": 0.990234375}, {"start": 1600.68, "end": 1601.34, "word": " أكبر", "probability": 0.9816080729166666}, {"start": 1601.34, "end": 1601.78, "word": " من", "probability": 0.99609375}, {"start": 1601.78, "end": 1602.54, "word": " اتنين", "probability": 0.9656982421875}, {"start": 1602.54, "end": 1602.84, "word": " B", "probability": 0.98291015625}, {"start": 1602.84, "end": 1603.66, "word": " إذا", "probability": 0.869140625}, {"start": 1603.66, "end": 1603.96, "word": " by", "probability": 0.446044921875}, {"start": 1603.96, "end": 1604.98, "word": " transitivity", "probability": 0.92431640625}], "temperature": 1.0}, {"id": 60, "seek": 163570, "start": 1606.16, "end": 1635.7, "text": "خاصية التعدى ممكن استنتج ان اتنين a اكبر من a زايد b اكبر من اتنين b الان العدد اتنين عدد طبيعي وشوفنا في الخاصية بتقول اي عدد طبيعي هو عدد موجب فى النظرية اللى فاتت كذلك اي عدد موجب مقلوبه موجب اذا النص عدد موجب الان لو ضربت المتباينة هذه فى النص اللى هو عدد موجب", "tokens": [9778, 33546, 10632, 16712, 22488, 7578, 3714, 43020, 1975, 14851, 29399, 7435, 16472, 1975, 2655, 1863, 9957, 257, 1975, 4117, 26890, 9154, 257, 30767, 995, 25708, 272, 1975, 4117, 26890, 9154, 1975, 2655, 1863, 9957, 272, 2423, 7649, 2423, 22488, 3215, 1975, 2655, 1863, 9957, 6225, 3215, 3215, 23032, 21292, 3615, 1829, 4032, 8592, 38688, 8315, 8978, 33962, 33546, 10632, 39894, 39648, 1975, 1829, 6225, 3215, 3215, 23032, 21292, 3615, 1829, 31439, 6225, 3215, 3215, 3714, 29245, 3555, 6156, 7578, 28239, 19913, 2288, 10632, 13672, 7578, 6156, 9307, 2655, 9122, 8848, 23275, 1975, 1829, 6225, 3215, 3215, 3714, 29245, 3555, 3714, 4587, 1211, 37746, 3224, 3714, 29245, 3555, 1975, 15730, 28239, 9381, 6225, 3215, 3215, 3714, 29245, 3555, 2423, 7649, 45164, 48812, 25513, 2655, 9673, 2655, 3555, 995, 9957, 3660, 29538, 6156, 7578, 28239, 9381, 13672, 7578, 31439, 6225, 3215, 3215, 3714, 29245, 3555], "avg_logprob": -0.1414870656769851, "compression_ratio": 2.2878048780487803, "no_speech_prob": 0.0, "words": [{"start": 1606.16, "end": 1606.7, "word": "خاصية", "probability": 0.7936197916666666}, {"start": 1606.7, "end": 1607.48, "word": " التعدى", "probability": 0.8536783854166666}, {"start": 1607.48, "end": 1608.9, "word": " ممكن", "probability": 0.787109375}, {"start": 1608.9, "end": 1609.6, "word": " استنتج", "probability": 0.754180908203125}, {"start": 1609.6, "end": 1609.88, "word": " ان", "probability": 0.86279296875}, {"start": 1609.88, "end": 1610.44, "word": " اتنين", "probability": 0.80157470703125}, {"start": 1610.44, "end": 1610.76, "word": " a", "probability": 0.411865234375}, {"start": 1610.76, "end": 1611.56, "word": " اكبر", "probability": 0.799560546875}, {"start": 1611.56, "end": 1611.8, "word": " من", "probability": 0.95458984375}, {"start": 1611.8, "end": 1612.06, "word": " a", "probability": 0.65234375}, {"start": 1612.06, "end": 1612.46, "word": " زايد", "probability": 0.5655924479166666}, {"start": 1612.46, "end": 1612.74, "word": " b", "probability": 0.7353515625}, {"start": 1612.74, "end": 1613.22, "word": " اكبر", "probability": 0.9344075520833334}, {"start": 1613.22, "end": 1613.4, "word": " من", "probability": 0.9921875}, {"start": 1613.4, "end": 1613.76, "word": " اتنين", "probability": 0.9642333984375}, {"start": 1613.76, "end": 1614.08, "word": " b", "probability": 0.87451171875}, {"start": 1614.08, "end": 1617.0, "word": " الان", "probability": 0.6966552734375}, {"start": 1617.0, "end": 1617.56, "word": " العدد", "probability": 0.775146484375}, {"start": 1617.56, "end": 1617.96, "word": " اتنين", "probability": 0.9608154296875}, {"start": 1617.96, "end": 1618.32, "word": " عدد", "probability": 0.9765625}, {"start": 1618.32, "end": 1618.92, "word": " طبيعي", "probability": 0.893798828125}, {"start": 1618.92, "end": 1619.44, "word": " وشوفنا", "probability": 0.8902587890625}, {"start": 1619.44, "end": 1619.64, "word": " في", "probability": 0.4736328125}, {"start": 1619.64, "end": 1620.1, "word": " الخاصية", "probability": 0.9383138020833334}, {"start": 1620.1, "end": 1620.48, "word": " بتقول", "probability": 0.93017578125}, {"start": 1620.48, "end": 1620.8, "word": " اي", "probability": 0.865234375}, {"start": 1620.8, "end": 1621.12, "word": " عدد", "probability": 0.9933268229166666}, {"start": 1621.12, "end": 1621.64, "word": " طبيعي", "probability": 0.9698486328125}, {"start": 1621.64, "end": 1621.82, "word": " هو", "probability": 0.94287109375}, {"start": 1621.82, "end": 1622.14, "word": " عدد", "probability": 0.9903971354166666}, {"start": 1622.14, "end": 1622.56, "word": " موجب", "probability": 0.9762369791666666}, {"start": 1622.56, "end": 1623.36, "word": " فى", "probability": 0.578369140625}, {"start": 1623.36, "end": 1623.76, "word": " النظرية", "probability": 0.862548828125}, {"start": 1623.76, "end": 1623.92, "word": " اللى", "probability": 0.96484375}, {"start": 1623.92, "end": 1624.54, "word": " فاتت", "probability": 0.9933268229166666}, {"start": 1624.54, "end": 1626.68, "word": " كذلك", "probability": 0.990234375}, {"start": 1626.68, "end": 1627.02, "word": " اي", "probability": 0.91015625}, {"start": 1627.02, "end": 1627.36, "word": " عدد", "probability": 0.9972330729166666}, {"start": 1627.36, "end": 1627.98, "word": " موجب", "probability": 0.9915364583333334}, {"start": 1627.98, "end": 1628.9, "word": " مقلوبه", "probability": 0.8416015625}, {"start": 1628.9, "end": 1629.3, "word": " موجب", "probability": 0.9939778645833334}, {"start": 1629.3, "end": 1629.52, "word": " اذا", "probability": 0.784423828125}, {"start": 1629.52, "end": 1629.94, "word": " النص", "probability": 0.9150390625}, {"start": 1629.94, "end": 1630.26, "word": " عدد", "probability": 0.99658203125}, {"start": 1630.26, "end": 1630.72, "word": " موجب", "probability": 0.99462890625}, {"start": 1630.72, "end": 1632.28, "word": " الان", "probability": 0.87890625}, {"start": 1632.28, "end": 1632.48, "word": " لو", "probability": 0.98681640625}, {"start": 1632.48, "end": 1632.92, "word": " ضربت", "probability": 0.9537760416666666}, {"start": 1632.92, "end": 1633.78, "word": " المتباينة", "probability": 0.9398600260416666}, {"start": 1633.78, "end": 1634.02, "word": " هذه", "probability": 0.4716796875}, {"start": 1634.02, "end": 1634.18, "word": " فى", "probability": 0.81689453125}, {"start": 1634.18, "end": 1634.52, "word": " النص", "probability": 0.969970703125}, {"start": 1634.52, "end": 1634.7, "word": " اللى", "probability": 0.980224609375}, {"start": 1634.7, "end": 1634.9, "word": " هو", "probability": 0.8603515625}, {"start": 1634.9, "end": 1635.22, "word": " عدد", "probability": 0.9934895833333334}, {"start": 1635.22, "end": 1635.7, "word": " موجب", "probability": 0.9949544270833334}], "temperature": 1.0}, {"id": 61, "seek": 166302, "start": 1636.62, "end": 1663.02, "text": "إشاراتها تبقى زي ما هي هذه خاصية خلناها في النظرية هذه تمام؟ إذا أنا حضرب الفنص هي ضربت طبعا هذا بيساوي a وهذا بيساوي b وبالتالي نحصل على المطلوب إذا يعني براهين سهلة وبسيطة النظرية هذه مهمة لأن نتيجة اللي بعدها", "tokens": [28814, 8592, 9640, 9307, 11296, 6055, 3555, 4587, 7578, 30767, 1829, 19446, 39896, 29538, 16490, 33546, 10632, 16490, 1211, 8315, 11296, 8978, 28239, 19913, 2288, 10632, 29538, 46811, 10943, 22807, 11933, 15730, 41850, 11331, 11242, 25513, 27188, 1863, 9381, 39896, 48812, 25513, 2655, 23032, 3555, 3615, 995, 23758, 4724, 1829, 3794, 995, 45865, 257, 37037, 15730, 4724, 1829, 3794, 995, 45865, 272, 46599, 6027, 2655, 6027, 1829, 8717, 5016, 36520, 15844, 9673, 9566, 1211, 37746, 11933, 15730, 37495, 22653, 4724, 23557, 3224, 9957, 8608, 3224, 37977, 4032, 3555, 3794, 1829, 9566, 3660, 28239, 19913, 2288, 10632, 29538, 3714, 16095, 3660, 5296, 33456, 8717, 31371, 7435, 3660, 13672, 1829, 39182, 11296], "avg_logprob": -0.21128941226649928, "compression_ratio": 1.890547263681592, "no_speech_prob": 0.0, "words": [{"start": 1636.62, "end": 1637.42, "word": "إشاراتها", "probability": 0.7580078125}, {"start": 1637.42, "end": 1637.88, "word": " تبقى", "probability": 0.97021484375}, {"start": 1637.88, "end": 1638.1, "word": " زي", "probability": 0.908447265625}, {"start": 1638.1, "end": 1638.2, "word": " ما", "probability": 0.94970703125}, {"start": 1638.2, "end": 1638.52, "word": " هي", "probability": 0.91796875}, {"start": 1638.52, "end": 1638.9, "word": " هذه", "probability": 0.52734375}, {"start": 1638.9, "end": 1639.34, "word": " خاصية", "probability": 0.8720703125}, {"start": 1639.34, "end": 1640.04, "word": " خلناها", "probability": 0.593505859375}, {"start": 1640.04, "end": 1640.74, "word": " في", "probability": 0.7060546875}, {"start": 1640.74, "end": 1641.22, "word": " النظرية", "probability": 0.9306640625}, {"start": 1641.22, "end": 1641.7, "word": " هذه", "probability": 0.62890625}, {"start": 1641.7, "end": 1642.76, "word": " تمام؟", "probability": 0.528076171875}, {"start": 1642.76, "end": 1642.96, "word": " إذا", "probability": 0.728515625}, {"start": 1642.96, "end": 1643.12, "word": " أنا", "probability": 0.5439453125}, {"start": 1643.12, "end": 1643.78, "word": " حضرب", "probability": 0.673828125}, {"start": 1643.78, "end": 1646.12, "word": " الفنص", "probability": 0.5833333333333334}, {"start": 1646.12, "end": 1647.74, "word": " هي", "probability": 0.327880859375}, {"start": 1647.74, "end": 1648.44, "word": " ضربت", "probability": 0.8831380208333334}, {"start": 1648.44, "end": 1649.08, "word": " طبعا", "probability": 0.9324951171875}, {"start": 1649.08, "end": 1649.32, "word": " هذا", "probability": 0.724609375}, {"start": 1649.32, "end": 1649.9, "word": " بيساوي", "probability": 0.846044921875}, {"start": 1649.9, "end": 1650.26, "word": " a", "probability": 0.4072265625}, {"start": 1650.26, "end": 1651.26, "word": " وهذا", "probability": 0.819091796875}, {"start": 1651.26, "end": 1651.8, "word": " بيساوي", "probability": 0.98427734375}, {"start": 1651.8, "end": 1652.06, "word": " b", "probability": 0.83203125}, {"start": 1652.06, "end": 1652.78, "word": " وبالتالي", "probability": 0.91337890625}, {"start": 1652.78, "end": 1653.96, "word": " نحصل", "probability": 0.9900716145833334}, {"start": 1653.96, "end": 1654.38, "word": " على", "probability": 0.9462890625}, {"start": 1654.38, "end": 1655.42, "word": " المطلوب", "probability": 0.9556884765625}, {"start": 1655.42, "end": 1656.86, "word": " إذا", "probability": 0.745361328125}, {"start": 1656.86, "end": 1657.38, "word": " يعني", "probability": 0.9716796875}, {"start": 1657.38, "end": 1658.06, "word": " براهين", "probability": 0.8226318359375}, {"start": 1658.06, "end": 1658.5, "word": " سهلة", "probability": 0.98974609375}, {"start": 1658.5, "end": 1659.4, "word": " وبسيطة", "probability": 0.9247233072916666}, {"start": 1659.4, "end": 1660.52, "word": " النظرية", "probability": 0.972900390625}, {"start": 1660.52, "end": 1660.78, "word": " هذه", "probability": 0.919921875}, {"start": 1660.78, "end": 1661.4, "word": " مهمة", "probability": 0.9910481770833334}, {"start": 1661.4, "end": 1661.74, "word": " لأن", "probability": 0.84521484375}, {"start": 1661.74, "end": 1662.34, "word": " نتيجة", "probability": 0.8770751953125}, {"start": 1662.34, "end": 1662.48, "word": " اللي", "probability": 0.786376953125}, {"start": 1662.48, "end": 1663.02, "word": " بعدها", "probability": 0.954833984375}], "temperature": 1.0}, {"id": 62, "seek": 169412, "start": 1664.72, "end": 1694.12, "text": "أو أهميتها تظهر في النتيجة اللي بعدها اللي هي corollary 171 corollary 171 بيقول أن أي عدد موجب بيكون أكبر من نصه اللي هو موجب أي عدد حقيقي موجب دايما أكبر من نصه", "tokens": [10721, 2407, 5551, 16095, 36081, 11296, 6055, 19913, 3224, 2288, 8978, 28239, 31371, 7435, 3660, 13672, 1829, 39182, 11296, 13672, 1829, 39896, 1181, 1833, 822, 3282, 16, 1181, 1833, 822, 3282, 16, 4724, 1829, 39648, 14739, 36632, 6225, 3215, 3215, 3714, 29245, 3555, 4724, 1829, 30544, 5551, 4117, 26890, 9154, 8717, 9381, 3224, 13672, 1829, 31439, 3714, 29245, 3555, 36632, 6225, 3215, 3215, 11331, 38436, 38436, 3714, 29245, 3555, 11778, 47302, 15042, 5551, 4117, 26890, 9154, 8717, 9381, 3224], "avg_logprob": -0.15947266332805157, "compression_ratio": 1.7161290322580645, "no_speech_prob": 0.0, "words": [{"start": 1664.72, "end": 1665.08, "word": "أو", "probability": 0.75}, {"start": 1665.08, "end": 1666.34, "word": " أهميتها", "probability": 0.7872314453125}, {"start": 1666.34, "end": 1666.82, "word": " تظهر", "probability": 0.995849609375}, {"start": 1666.82, "end": 1666.96, "word": " في", "probability": 0.94189453125}, {"start": 1666.96, "end": 1667.44, "word": " النتيجة", "probability": 0.9453125}, {"start": 1667.44, "end": 1667.58, "word": " اللي", "probability": 0.828125}, {"start": 1667.58, "end": 1668.16, "word": " بعدها", "probability": 0.916015625}, {"start": 1668.16, "end": 1669.02, "word": " اللي", "probability": 0.807861328125}, {"start": 1669.02, "end": 1669.28, "word": " هي", "probability": 0.90673828125}, {"start": 1669.28, "end": 1669.88, "word": " corollary", "probability": 0.8069661458333334}, {"start": 1669.88, "end": 1671.34, "word": " 171", "probability": 0.4144287109375}, {"start": 1671.34, "end": 1673.58, "word": " corollary", "probability": 0.70947265625}, {"start": 1673.58, "end": 1674.34, "word": " 171", "probability": 0.951904296875}, {"start": 1674.34, "end": 1676.12, "word": " بيقول", "probability": 0.96923828125}, {"start": 1676.12, "end": 1684.62, "word": " أن", "probability": 0.36474609375}, {"start": 1684.62, "end": 1686.4, "word": " أي", "probability": 0.45556640625}, {"start": 1686.4, "end": 1686.88, "word": " عدد", "probability": 0.9850260416666666}, {"start": 1686.88, "end": 1687.48, "word": " موجب", "probability": 0.98486328125}, {"start": 1687.48, "end": 1688.28, "word": " بيكون", "probability": 0.7838541666666666}, {"start": 1688.28, "end": 1688.9, "word": " أكبر", "probability": 0.9679361979166666}, {"start": 1688.9, "end": 1689.16, "word": " من", "probability": 0.99658203125}, {"start": 1689.16, "end": 1689.8, "word": " نصه", "probability": 0.99365234375}, {"start": 1689.8, "end": 1690.22, "word": " اللي", "probability": 0.962646484375}, {"start": 1690.22, "end": 1690.44, "word": " هو", "probability": 0.99169921875}, {"start": 1690.44, "end": 1691.0, "word": " موجب", "probability": 0.986328125}, {"start": 1691.0, "end": 1691.76, "word": " أي", "probability": 0.59716796875}, {"start": 1691.76, "end": 1692.04, "word": " عدد", "probability": 0.9964192708333334}, {"start": 1692.04, "end": 1692.4, "word": " حقيقي", "probability": 0.9337565104166666}, {"start": 1692.4, "end": 1692.78, "word": " موجب", "probability": 0.9739583333333334}, {"start": 1692.78, "end": 1693.04, "word": " دايما", "probability": 0.8136393229166666}, {"start": 1693.04, "end": 1693.48, "word": " أكبر", "probability": 0.9558919270833334}, {"start": 1693.48, "end": 1693.66, "word": " من", "probability": 0.99658203125}, {"start": 1693.66, "end": 1694.12, "word": " نصه", "probability": 0.99609375}], "temperature": 1.0}, {"id": 63, "seek": 172000, "start": 1695.24, "end": 1720.0, "text": "وبالتالي هذا معناه في رياضيات أن الأعداد الحقيقية الموجبة مالهاش smallest element مافيش .. لو أخدت الأعداد الحقيقية الموجبة اللي هي set P فهذا ال set ماقدرش أحط أصبعي على أصغر عنصر فيها مالهاش أصغر عنصر", "tokens": [37746, 6027, 2655, 6027, 1829, 23758, 20449, 8315, 3224, 8978, 12602, 1829, 46958, 1829, 9307, 14739, 16247, 22488, 18513, 21542, 38436, 4587, 10632, 9673, 29245, 49401, 19446, 43761, 33599, 16998, 4478, 19446, 41185, 8592, 4386, 45164, 5551, 9778, 3215, 2655, 16247, 22488, 18513, 21542, 38436, 4587, 10632, 9673, 29245, 49401, 13672, 1829, 39896, 992, 430, 6156, 3224, 15730, 2423, 992, 19446, 28543, 2288, 8592, 5551, 5016, 9566, 5551, 9381, 3555, 3615, 1829, 15844, 5551, 9381, 17082, 2288, 18871, 9381, 2288, 8978, 11296, 19446, 43761, 33599, 5551, 9381, 17082, 2288, 18871, 9381, 2288], "avg_logprob": -0.15650201612903225, "compression_ratio": 1.8548387096774193, "no_speech_prob": 0.0, "words": [{"start": 1695.24, "end": 1696.16, "word": "وبالتالي", "probability": 0.9423828125}, {"start": 1696.16, "end": 1696.54, "word": " هذا", "probability": 0.77294921875}, {"start": 1696.54, "end": 1697.26, "word": " معناه", "probability": 0.9249674479166666}, {"start": 1697.26, "end": 1698.52, "word": " في", "probability": 0.83349609375}, {"start": 1698.52, "end": 1699.28, "word": " رياضيات", "probability": 0.8931640625}, {"start": 1699.28, "end": 1700.36, "word": " أن", "probability": 0.51904296875}, {"start": 1700.36, "end": 1701.12, "word": " الأعداد", "probability": 0.9080403645833334}, {"start": 1701.12, "end": 1701.82, "word": " الحقيقية", "probability": 0.9617919921875}, {"start": 1701.82, "end": 1702.42, "word": " الموجبة", "probability": 0.9847005208333334}, {"start": 1702.42, "end": 1703.2, "word": " مالهاش", "probability": 0.6520182291666666}, {"start": 1703.2, "end": 1703.76, "word": " smallest", "probability": 0.98046875}, {"start": 1703.76, "end": 1704.3, "word": " element", "probability": 0.96923828125}, {"start": 1704.3, "end": 1706.18, "word": " مافيش", "probability": 0.9187825520833334}, {"start": 1706.18, "end": 1706.48, "word": " ..", "probability": 0.32958984375}, {"start": 1706.48, "end": 1706.9, "word": " لو", "probability": 0.90283203125}, {"start": 1706.9, "end": 1707.22, "word": " أخدت", "probability": 0.9130859375}, {"start": 1707.22, "end": 1707.52, "word": " الأعداد", "probability": 0.9508463541666666}, {"start": 1707.52, "end": 1707.96, "word": " الحقيقية", "probability": 0.9677734375}, {"start": 1707.96, "end": 1708.62, "word": " الموجبة", "probability": 0.99560546875}, {"start": 1708.62, "end": 1709.96, "word": " اللي", "probability": 0.85888671875}, {"start": 1709.96, "end": 1710.16, "word": " هي", "probability": 0.89306640625}, {"start": 1710.16, "end": 1710.54, "word": " set", "probability": 0.259521484375}, {"start": 1710.54, "end": 1710.96, "word": " P", "probability": 0.7529296875}, {"start": 1710.96, "end": 1713.16, "word": " فهذا", "probability": 0.677978515625}, {"start": 1713.16, "end": 1713.32, "word": " ال", "probability": 0.5791015625}, {"start": 1713.32, "end": 1713.62, "word": " set", "probability": 0.8798828125}, {"start": 1713.62, "end": 1714.28, "word": " ماقدرش", "probability": 0.9022216796875}, {"start": 1714.28, "end": 1714.64, "word": " أحط", "probability": 0.9308268229166666}, {"start": 1714.64, "end": 1715.2, "word": " أصبعي", "probability": 0.819287109375}, {"start": 1715.2, "end": 1715.38, "word": " على", "probability": 0.8759765625}, {"start": 1715.38, "end": 1715.76, "word": " أصغر", "probability": 0.99267578125}, {"start": 1715.76, "end": 1716.14, "word": " عنصر", "probability": 0.8846028645833334}, {"start": 1716.14, "end": 1716.48, "word": " فيها", "probability": 0.856201171875}, {"start": 1716.48, "end": 1717.94, "word": " مالهاش", "probability": 0.7669270833333334}, {"start": 1717.94, "end": 1719.52, "word": " أصغر", "probability": 0.9942626953125}, {"start": 1719.52, "end": 1720.0, "word": " عنصر", "probability": 0.9861653645833334}], "temperature": 1.0}, {"id": 64, "seek": 174562, "start": 1720.96, "end": 1745.62, "text": "has no smallest element لأن لو أخدت أي عنصر موجب و سميته a فبقدر ألاقي عدد موجب أخر أصغر منه اللي هو نصف فبالتالي ال set of positive numbers has no strictly positive element تمام؟ البرهان تبع الكرولري هذا بينتج من نظرية", "tokens": [12438, 572, 16998, 4478, 5296, 33456, 45164, 5551, 9778, 3215, 2655, 36632, 18871, 9381, 2288, 3714, 29245, 3555, 4032, 8608, 2304, 36081, 3224, 257, 6156, 3555, 28543, 2288, 5551, 15040, 38436, 6225, 3215, 3215, 3714, 29245, 3555, 5551, 34740, 5551, 9381, 17082, 2288, 9154, 3224, 13672, 1829, 31439, 8717, 9381, 5172, 6156, 3555, 6027, 2655, 6027, 1829, 2423, 992, 295, 3353, 3547, 575, 572, 20792, 3353, 4478, 46811, 10943, 22807, 29739, 2288, 3224, 7649, 6055, 3555, 3615, 33251, 2288, 12610, 16572, 23758, 4724, 9957, 2655, 7435, 9154, 8717, 19913, 2288, 10632], "avg_logprob": -0.19191576232728752, "compression_ratio": 1.5115207373271888, "no_speech_prob": 0.0, "words": [{"start": 1720.96, "end": 1721.42, "word": "has", "probability": 0.110595703125}, {"start": 1721.42, "end": 1721.78, "word": " no", "probability": 0.951171875}, {"start": 1721.78, "end": 1722.36, "word": " smallest", "probability": 0.99365234375}, {"start": 1722.36, "end": 1722.82, "word": " element", "probability": 0.9140625}, {"start": 1722.82, "end": 1723.18, "word": " لأن", "probability": 0.743896484375}, {"start": 1723.18, "end": 1723.32, "word": " لو", "probability": 0.80517578125}, {"start": 1723.32, "end": 1723.76, "word": " أخدت", "probability": 0.9542236328125}, {"start": 1723.76, "end": 1724.04, "word": " أي", "probability": 0.81787109375}, {"start": 1724.04, "end": 1724.82, "word": " عنصر", "probability": 0.98095703125}, {"start": 1724.82, "end": 1725.88, "word": " موجب", "probability": 0.9737955729166666}, {"start": 1725.88, "end": 1726.2, "word": " و", "probability": 0.7451171875}, {"start": 1726.2, "end": 1726.84, "word": " سميته", "probability": 0.783416748046875}, {"start": 1726.84, "end": 1727.12, "word": " a", "probability": 0.404052734375}, {"start": 1727.12, "end": 1728.58, "word": " فبقدر", "probability": 0.9307861328125}, {"start": 1728.58, "end": 1729.08, "word": " ألاقي", "probability": 0.8517252604166666}, {"start": 1729.08, "end": 1729.7, "word": " عدد", "probability": 0.9453125}, {"start": 1729.7, "end": 1730.18, "word": " موجب", "probability": 0.9954427083333334}, {"start": 1730.18, "end": 1730.7, "word": " أخر", "probability": 0.73828125}, {"start": 1730.7, "end": 1731.22, "word": " أصغر", "probability": 0.9842529296875}, {"start": 1731.22, "end": 1731.6, "word": " منه", "probability": 0.991455078125}, {"start": 1731.6, "end": 1731.8, "word": " اللي", "probability": 0.91455078125}, {"start": 1731.8, "end": 1732.0, "word": " هو", "probability": 0.9853515625}, {"start": 1732.0, "end": 1732.58, "word": " نصف", "probability": 0.8181966145833334}, {"start": 1732.58, "end": 1734.2, "word": " فبالتالي", "probability": 0.978759765625}, {"start": 1734.2, "end": 1734.94, "word": " ال", "probability": 0.405029296875}, {"start": 1734.94, "end": 1735.46, "word": " set", "probability": 0.8056640625}, {"start": 1735.46, "end": 1736.38, "word": " of", "probability": 0.90576171875}, {"start": 1736.38, "end": 1736.84, "word": " positive", "probability": 0.95166015625}, {"start": 1736.84, "end": 1737.42, "word": " numbers", "probability": 0.8544921875}, {"start": 1737.42, "end": 1737.96, "word": " has", "probability": 0.87744140625}, {"start": 1737.96, "end": 1739.14, "word": " no", "probability": 0.94287109375}, {"start": 1739.14, "end": 1739.8, "word": " strictly", "probability": 0.927734375}, {"start": 1739.8, "end": 1740.38, "word": " positive", "probability": 0.947265625}, {"start": 1740.38, "end": 1740.98, "word": " element", "probability": 0.89794921875}, {"start": 1740.98, "end": 1742.9, "word": " تمام؟", "probability": 0.671630859375}, {"start": 1742.9, "end": 1743.4, "word": " البرهان", "probability": 0.72869873046875}, {"start": 1743.4, "end": 1743.68, "word": " تبع", "probability": 0.8502604166666666}, {"start": 1743.68, "end": 1744.2, "word": " الكرولري", "probability": 0.60552978515625}, {"start": 1744.2, "end": 1744.5, "word": " هذا", "probability": 0.93408203125}, {"start": 1744.5, "end": 1744.9, "word": " بينتج", "probability": 0.8726806640625}, {"start": 1744.9, "end": 1745.06, "word": " من", "probability": 0.99462890625}, {"start": 1745.06, "end": 1745.62, "word": " نظرية", "probability": 0.94189453125}], "temperature": 1.0}, {"id": 65, "seek": 177542, "start": 1746.38, "end": 1775.42, "text": "يعني خد بي بساوة سفر في النظرية اللى فاتت نظرية واحد ستة هي تشوفها مع بعض نظرية واحد ستة لو أخدت بي بساوة سفر فبطلع ا اكبر من نص ا اكبر من سفر اذا هذه نتيجة سريعة مظبوط", "tokens": [40228, 22653, 16490, 3215, 4724, 1829, 4724, 3794, 995, 2407, 3660, 8608, 5172, 2288, 8978, 28239, 19913, 2288, 10632, 13672, 7578, 6156, 9307, 2655, 8717, 19913, 2288, 10632, 36764, 24401, 8608, 2655, 3660, 39896, 6055, 8592, 38688, 11296, 20449, 45030, 11242, 8717, 19913, 2288, 10632, 36764, 24401, 8608, 2655, 3660, 45164, 5551, 9778, 3215, 2655, 4724, 1829, 4724, 3794, 995, 2407, 3660, 8608, 5172, 2288, 6156, 3555, 9566, 1211, 3615, 1975, 1975, 4117, 26890, 9154, 8717, 9381, 1975, 1975, 4117, 26890, 9154, 8608, 5172, 2288, 1975, 15730, 29538, 8717, 31371, 7435, 3660, 8608, 16572, 27884, 3714, 19913, 3555, 2407, 9566], "avg_logprob": -0.1788366401549613, "compression_ratio": 1.9415584415584415, "no_speech_prob": 0.0, "words": [{"start": 1746.38, "end": 1746.82, "word": "يعني", "probability": 0.673828125}, {"start": 1746.82, "end": 1747.34, "word": " خد", "probability": 0.6273193359375}, {"start": 1747.34, "end": 1747.92, "word": " بي", "probability": 0.703857421875}, {"start": 1747.92, "end": 1748.26, "word": " بساوة", "probability": 0.676123046875}, {"start": 1748.26, "end": 1748.6, "word": " سفر", "probability": 0.9020182291666666}, {"start": 1748.6, "end": 1748.74, "word": " في", "probability": 0.78076171875}, {"start": 1748.74, "end": 1749.2, "word": " النظرية", "probability": 0.8992919921875}, {"start": 1749.2, "end": 1749.36, "word": " اللى", "probability": 0.608154296875}, {"start": 1749.36, "end": 1749.92, "word": " فاتت", "probability": 0.9827473958333334}, {"start": 1749.92, "end": 1750.94, "word": " نظرية", "probability": 0.899658203125}, {"start": 1750.94, "end": 1751.24, "word": " واحد", "probability": 0.95556640625}, {"start": 1751.24, "end": 1751.74, "word": " ستة", "probability": 0.931640625}, {"start": 1751.74, "end": 1752.08, "word": " هي", "probability": 0.2303466796875}, {"start": 1752.08, "end": 1752.64, "word": " تشوفها", "probability": 0.922607421875}, {"start": 1752.64, "end": 1752.8, "word": " مع", "probability": 0.9931640625}, {"start": 1752.8, "end": 1753.22, "word": " بعض", "probability": 0.983642578125}, {"start": 1753.22, "end": 1766.28, "word": " نظرية", "probability": 0.80157470703125}, {"start": 1766.28, "end": 1766.6, "word": " واحد", "probability": 0.9921875}, {"start": 1766.6, "end": 1767.14, "word": " ستة", "probability": 0.98681640625}, {"start": 1767.14, "end": 1767.34, "word": " لو", "probability": 0.90283203125}, {"start": 1767.34, "end": 1767.74, "word": " أخدت", "probability": 0.904052734375}, {"start": 1767.74, "end": 1767.96, "word": " بي", "probability": 0.969482421875}, {"start": 1767.96, "end": 1768.42, "word": " بساوة", "probability": 0.9810546875}, {"start": 1768.42, "end": 1768.76, "word": " سفر", "probability": 0.9939778645833334}, {"start": 1768.76, "end": 1769.34, "word": " فبطلع", "probability": 0.88857421875}, {"start": 1769.34, "end": 1769.5, "word": " ا", "probability": 0.3212890625}, {"start": 1769.5, "end": 1770.02, "word": " اكبر", "probability": 0.8240559895833334}, {"start": 1770.02, "end": 1770.22, "word": " من", "probability": 0.99462890625}, {"start": 1770.22, "end": 1770.58, "word": " نص", "probability": 0.974853515625}, {"start": 1770.58, "end": 1770.86, "word": " ا", "probability": 0.861328125}, {"start": 1770.86, "end": 1771.98, "word": " اكبر", "probability": 0.95263671875}, {"start": 1771.98, "end": 1772.2, "word": " من", "probability": 0.99658203125}, {"start": 1772.2, "end": 1772.68, "word": " سفر", "probability": 0.9817708333333334}, {"start": 1772.68, "end": 1773.42, "word": " اذا", "probability": 0.6507568359375}, {"start": 1773.42, "end": 1773.68, "word": " هذه", "probability": 0.61181640625}, {"start": 1773.68, "end": 1774.28, "word": " نتيجة", "probability": 0.9359130859375}, {"start": 1774.28, "end": 1774.84, "word": " سريعة", "probability": 0.8733723958333334}, {"start": 1774.84, "end": 1775.42, "word": " مظبوط", "probability": 0.83759765625}], "temperature": 1.0}, {"id": 66, "seek": 179867, "start": 1776.75, "end": 1798.67, "text": "Okay إذا يعني هذه بعض الحاجات السهلة والبسيطة، هنا في نظرية كتير مهمة، هذه برضه نظرية هنستخدمها بكرا يعني في المستقبل، نظرية واحد تمنع، نظرية كتير مهمة وأهمتها هنشوفها في الشبات الرجاية", "tokens": [8297, 11933, 15730, 37495, 22653, 29538, 45030, 11242, 21542, 26108, 9307, 21136, 3224, 37977, 16070, 3555, 3794, 1829, 9566, 3660, 12399, 34105, 8978, 8717, 19913, 2288, 10632, 9122, 2655, 13546, 3714, 16095, 3660, 12399, 29538, 4724, 43042, 3224, 8717, 19913, 2288, 10632, 8032, 1863, 14851, 9778, 40448, 11296, 4724, 4117, 23557, 37495, 22653, 8978, 9673, 14851, 4587, 36150, 12399, 8717, 19913, 2288, 10632, 36764, 24401, 46811, 1863, 3615, 12399, 8717, 19913, 2288, 10632, 9122, 2655, 13546, 3714, 16095, 3660, 4032, 10721, 16095, 2655, 11296, 8032, 1863, 8592, 38688, 11296, 8978, 25124, 3555, 9307, 34892, 7435, 995, 10632], "avg_logprob": -0.17984694212066885, "compression_ratio": 1.8206521739130435, "no_speech_prob": 0.0, "words": [{"start": 1776.75, "end": 1777.23, "word": "Okay", "probability": 0.908203125}, {"start": 1777.23, "end": 1777.53, "word": " إذا", "probability": 0.674072265625}, {"start": 1777.53, "end": 1777.97, "word": " يعني", "probability": 0.92578125}, {"start": 1777.97, "end": 1778.21, "word": " هذه", "probability": 0.755859375}, {"start": 1778.21, "end": 1778.61, "word": " بعض", "probability": 0.97607421875}, {"start": 1778.61, "end": 1779.49, "word": " الحاجات", "probability": 0.99462890625}, {"start": 1779.49, "end": 1780.35, "word": " السهلة", "probability": 0.9471028645833334}, {"start": 1780.35, "end": 1782.85, "word": " والبسيطة،", "probability": 0.8263811383928571}, {"start": 1782.85, "end": 1784.09, "word": " هنا", "probability": 0.238525390625}, {"start": 1784.09, "end": 1784.25, "word": " في", "probability": 0.54931640625}, {"start": 1784.25, "end": 1784.69, "word": " نظرية", "probability": 0.966064453125}, {"start": 1784.69, "end": 1785.05, "word": " كتير", "probability": 0.9620768229166666}, {"start": 1785.05, "end": 1785.67, "word": " مهمة،", "probability": 0.82659912109375}, {"start": 1785.67, "end": 1785.77, "word": " هذه", "probability": 0.311279296875}, {"start": 1785.77, "end": 1786.07, "word": " برضه", "probability": 0.94970703125}, {"start": 1786.07, "end": 1786.65, "word": " نظرية", "probability": 0.991455078125}, {"start": 1786.65, "end": 1787.45, "word": " هنستخدمها", "probability": 0.8738199869791666}, {"start": 1787.45, "end": 1787.83, "word": " بكرا", "probability": 0.6931966145833334}, {"start": 1787.83, "end": 1788.27, "word": " يعني", "probability": 0.7193603515625}, {"start": 1788.27, "end": 1789.95, "word": " في", "probability": 0.69140625}, {"start": 1789.95, "end": 1791.07, "word": " المستقبل،", "probability": 0.97275390625}, {"start": 1791.07, "end": 1791.41, "word": " نظرية", "probability": 0.9923095703125}, {"start": 1791.41, "end": 1791.67, "word": " واحد", "probability": 0.97998046875}, {"start": 1791.67, "end": 1793.03, "word": " تمنع،", "probability": 0.70330810546875}, {"start": 1793.03, "end": 1793.41, "word": " نظرية", "probability": 0.99169921875}, {"start": 1793.41, "end": 1793.79, "word": " كتير", "probability": 0.9949544270833334}, {"start": 1793.79, "end": 1794.41, "word": " مهمة", "probability": 0.9967447916666666}, {"start": 1794.41, "end": 1795.77, "word": " وأهمتها", "probability": 0.791015625}, {"start": 1795.77, "end": 1796.59, "word": " هنشوفها", "probability": 0.97158203125}, {"start": 1796.59, "end": 1797.39, "word": " في", "probability": 0.96435546875}, {"start": 1797.39, "end": 1798.07, "word": " الشبات", "probability": 0.9606119791666666}, {"start": 1798.07, "end": 1798.67, "word": " الرجاية", "probability": 0.6470947265625}], "temperature": 1.0}, {"id": 67, "seek": 181935, "start": 1800.93, "end": 1819.35, "text": "إيش هذه النظرية بتقول؟ لو في عندي عدد حقيقي غير سالب، غير سالب، و في نفس الوقت أصغر من إبسلون لكل عدد موجب إبسلون، فهذا العدد لازم يكون هو السفر، وهي برهان بالتناقض", "tokens": [28814, 1829, 8592, 29538, 28239, 19913, 2288, 10632, 39894, 39648, 22807, 45164, 8978, 18871, 16254, 6225, 3215, 3215, 11331, 38436, 38436, 32771, 13546, 8608, 6027, 3555, 12399, 32771, 13546, 8608, 6027, 3555, 12399, 4032, 8978, 8717, 36178, 2423, 30543, 2655, 5551, 9381, 17082, 2288, 9154, 11933, 3555, 3794, 1211, 11536, 5296, 28820, 6225, 3215, 3215, 3714, 29245, 3555, 11933, 3555, 3794, 1211, 11536, 12399, 6156, 3224, 15730, 18863, 3215, 3215, 5296, 31377, 2304, 7251, 30544, 31439, 21136, 5172, 2288, 12399, 37037, 1829, 4724, 2288, 3224, 7649, 20666, 2655, 8315, 4587, 11242], "avg_logprob": -0.16915760966746704, "compression_ratio": 1.7209302325581395, "no_speech_prob": 0.0, "words": [{"start": 1800.93, "end": 1801.31, "word": "إيش", "probability": 0.5955301920572916}, {"start": 1801.31, "end": 1801.51, "word": " هذه", "probability": 0.7490234375}, {"start": 1801.51, "end": 1801.93, "word": " النظرية", "probability": 0.9451904296875}, {"start": 1801.93, "end": 1802.55, "word": " بتقول؟", "probability": 0.7791341145833334}, {"start": 1802.55, "end": 1802.67, "word": " لو", "probability": 0.873046875}, {"start": 1802.67, "end": 1802.87, "word": " في", "probability": 0.83984375}, {"start": 1802.87, "end": 1803.21, "word": " عندي", "probability": 0.941162109375}, {"start": 1803.21, "end": 1803.53, "word": " عدد", "probability": 0.9830729166666666}, {"start": 1803.53, "end": 1804.25, "word": " حقيقي", "probability": 0.9890950520833334}, {"start": 1804.25, "end": 1804.77, "word": " غير", "probability": 0.965087890625}, {"start": 1804.77, "end": 1806.03, "word": " سالب،", "probability": 0.825439453125}, {"start": 1806.03, "end": 1806.35, "word": " غير", "probability": 0.855712890625}, {"start": 1806.35, "end": 1807.37, "word": " سالب،", "probability": 0.8975830078125}, {"start": 1807.37, "end": 1807.75, "word": " و", "probability": 0.98388671875}, {"start": 1807.75, "end": 1807.87, "word": " في", "probability": 0.479736328125}, {"start": 1807.87, "end": 1808.11, "word": " نفس", "probability": 0.99853515625}, {"start": 1808.11, "end": 1808.69, "word": " الوقت", "probability": 0.7548828125}, {"start": 1808.69, "end": 1809.43, "word": " أصغر", "probability": 0.9757080078125}, {"start": 1809.43, "end": 1809.71, "word": " من", "probability": 0.9970703125}, {"start": 1809.71, "end": 1810.33, "word": " إبسلون", "probability": 0.8003662109375}, {"start": 1810.33, "end": 1810.77, "word": " لكل", "probability": 0.9755859375}, {"start": 1810.77, "end": 1811.21, "word": " عدد", "probability": 0.9952799479166666}, {"start": 1811.21, "end": 1811.87, "word": " موجب", "probability": 0.9820963541666666}, {"start": 1811.87, "end": 1813.49, "word": " إبسلون،", "probability": 0.9095865885416666}, {"start": 1813.49, "end": 1814.05, "word": " فهذا", "probability": 0.9772135416666666}, {"start": 1814.05, "end": 1814.41, "word": " العدد", "probability": 0.98486328125}, {"start": 1814.41, "end": 1814.75, "word": " لازم", "probability": 0.9275716145833334}, {"start": 1814.75, "end": 1815.05, "word": " يكون", "probability": 0.99609375}, {"start": 1815.05, "end": 1815.29, "word": " هو", "probability": 0.90087890625}, {"start": 1815.29, "end": 1817.53, "word": " السفر،", "probability": 0.7744140625}, {"start": 1817.53, "end": 1817.83, "word": " وهي", "probability": 0.65576171875}, {"start": 1817.83, "end": 1818.43, "word": " برهان", "probability": 0.943603515625}, {"start": 1818.43, "end": 1819.35, "word": " بالتناقض", "probability": 0.82236328125}], "temperature": 1.0}, {"id": 68, "seek": 184885, "start": 1822.99, "end": 1848.85, "text": "كمان مرة العدد غير السالب اللى بيكون اي اصغر من اي عدد موجب هو السفر مافيش غير السفر اللى بيحقق لخاصية هذه لبرهان ذلك نعمل برهان بالتناقض افرض ان ال a ان ال a هذا بيسويش السفر و في نفس الوجهة a غير سالب اذا يعني a موجب صح؟", "tokens": [24793, 7649, 3714, 25720, 18863, 3215, 3215, 32771, 13546, 21136, 6027, 3555, 13672, 7578, 4724, 1829, 30544, 1975, 1829, 1975, 9381, 17082, 2288, 9154, 1975, 1829, 6225, 3215, 3215, 3714, 29245, 3555, 31439, 21136, 5172, 2288, 19446, 41185, 8592, 32771, 13546, 21136, 5172, 2288, 13672, 7578, 4724, 1829, 5016, 4587, 4587, 5296, 9778, 33546, 10632, 29538, 5296, 26890, 3224, 7649, 29910, 23275, 8717, 25957, 1211, 4724, 2288, 3224, 7649, 20666, 2655, 8315, 4587, 11242, 1975, 5172, 43042, 16472, 2423, 257, 16472, 2423, 257, 23758, 4724, 1829, 3794, 45865, 8592, 21136, 5172, 2288, 4032, 8978, 8717, 36178, 2423, 29245, 3224, 3660, 257, 32771, 13546, 8608, 6027, 3555, 1975, 15730, 37495, 22653, 257, 3714, 29245, 3555, 20328, 5016, 22807], "avg_logprob": -0.15466102250551772, "compression_ratio": 2.01025641025641, "no_speech_prob": 0.0, "words": [{"start": 1822.99, "end": 1823.37, "word": "كمان", "probability": 0.865966796875}, {"start": 1823.37, "end": 1823.77, "word": " مرة", "probability": 0.979736328125}, {"start": 1823.77, "end": 1824.67, "word": " العدد", "probability": 0.8411458333333334}, {"start": 1824.67, "end": 1824.99, "word": " غير", "probability": 0.996826171875}, {"start": 1824.99, "end": 1825.69, "word": " السالب", "probability": 0.9189453125}, {"start": 1825.69, "end": 1826.63, "word": " اللى", "probability": 0.659912109375}, {"start": 1826.63, "end": 1827.03, "word": " بيكون", "probability": 0.9322916666666666}, {"start": 1827.03, "end": 1827.33, "word": " اي", "probability": 0.587646484375}, {"start": 1827.33, "end": 1828.03, "word": " اصغر", "probability": 0.852294921875}, {"start": 1828.03, "end": 1828.21, "word": " من", "probability": 0.986328125}, {"start": 1828.21, "end": 1828.47, "word": " اي", "probability": 0.890625}, {"start": 1828.47, "end": 1828.83, "word": " عدد", "probability": 0.9905598958333334}, {"start": 1828.83, "end": 1829.35, "word": " موجب", "probability": 0.9814453125}, {"start": 1829.35, "end": 1830.01, "word": " هو", "probability": 0.96826171875}, {"start": 1830.01, "end": 1830.55, "word": " السفر", "probability": 0.8831380208333334}, {"start": 1830.55, "end": 1831.77, "word": " مافيش", "probability": 0.89697265625}, {"start": 1831.77, "end": 1831.95, "word": " غير", "probability": 0.970458984375}, {"start": 1831.95, "end": 1832.33, "word": " السفر", "probability": 0.9892578125}, {"start": 1832.33, "end": 1832.49, "word": " اللى", "probability": 0.94580078125}, {"start": 1832.49, "end": 1833.59, "word": " بيحقق", "probability": 0.96953125}, {"start": 1833.59, "end": 1835.05, "word": " لخاصية", "probability": 0.81475830078125}, {"start": 1835.05, "end": 1835.45, "word": " هذه", "probability": 0.70166015625}, {"start": 1835.45, "end": 1837.51, "word": " لبرهان", "probability": 0.9102783203125}, {"start": 1837.51, "end": 1837.99, "word": " ذلك", "probability": 0.996826171875}, {"start": 1837.99, "end": 1838.63, "word": " نعمل", "probability": 0.8875325520833334}, {"start": 1838.63, "end": 1838.93, "word": " برهان", "probability": 0.9693603515625}, {"start": 1838.93, "end": 1839.59, "word": " بالتناقض", "probability": 0.97197265625}, {"start": 1839.59, "end": 1839.97, "word": " افرض", "probability": 0.939453125}, {"start": 1839.97, "end": 1840.25, "word": " ان", "probability": 0.362548828125}, {"start": 1840.25, "end": 1840.51, "word": " ال", "probability": 0.892578125}, {"start": 1840.51, "end": 1840.79, "word": " a", "probability": 0.55712890625}, {"start": 1840.79, "end": 1841.97, "word": " ان", "probability": 0.41748046875}, {"start": 1841.97, "end": 1842.19, "word": " ال", "probability": 0.96533203125}, {"start": 1842.19, "end": 1842.31, "word": " a", "probability": 0.9560546875}, {"start": 1842.31, "end": 1842.63, "word": " هذا", "probability": 0.8017578125}, {"start": 1842.63, "end": 1843.17, "word": " بيسويش", "probability": 0.80166015625}, {"start": 1843.17, "end": 1843.97, "word": " السفر", "probability": 0.982421875}, {"start": 1843.97, "end": 1844.77, "word": " و", "probability": 0.6845703125}, {"start": 1844.77, "end": 1844.85, "word": " في", "probability": 0.373291015625}, {"start": 1844.85, "end": 1845.07, "word": " نفس", "probability": 0.9970703125}, {"start": 1845.07, "end": 1845.59, "word": " الوجهة", "probability": 0.79669189453125}, {"start": 1845.59, "end": 1845.83, "word": " a", "probability": 0.86279296875}, {"start": 1845.83, "end": 1846.21, "word": " غير", "probability": 0.995361328125}, {"start": 1846.21, "end": 1846.71, "word": " سالب", "probability": 0.9833984375}, {"start": 1846.71, "end": 1846.95, "word": " اذا", "probability": 0.709716796875}, {"start": 1846.95, "end": 1847.27, "word": " يعني", "probability": 0.9375}, {"start": 1847.27, "end": 1847.59, "word": " a", "probability": 0.935546875}, {"start": 1847.59, "end": 1848.09, "word": " موجب", "probability": 0.9938151041666666}, {"start": 1848.09, "end": 1848.85, "word": " صح؟", "probability": 0.78759765625}], "temperature": 1.0}, {"id": 69, "seek": 187736, "start": 1852.86, "end": 1877.36, "text": "الان حسب نظرية الكورينة النتيجة واحد سبعة اذا a بطلع اكبر من نص a فاخد epsilon zero هنا عدد موجب بساوي a ع اتنين نص a هذا عدد موجب اذا هاني نجحت في ايجاد عدد epsilon zero عدد موجب وال a اكبر منه", "tokens": [6027, 7649, 11331, 35457, 8717, 19913, 2288, 10632, 33251, 13063, 9957, 3660, 28239, 31371, 7435, 3660, 36764, 24401, 8608, 3555, 27884, 1975, 15730, 257, 4724, 9566, 1211, 3615, 1975, 4117, 26890, 9154, 8717, 9381, 257, 6156, 47283, 3215, 17889, 4018, 34105, 6225, 3215, 3215, 3714, 29245, 3555, 4724, 3794, 995, 45865, 257, 6225, 1975, 2655, 1863, 9957, 8717, 9381, 257, 23758, 6225, 3215, 3215, 3714, 29245, 3555, 1975, 15730, 8032, 7649, 1829, 8717, 7435, 33753, 8978, 1975, 1829, 7435, 18513, 6225, 3215, 3215, 17889, 4018, 6225, 3215, 3215, 3714, 29245, 3555, 16070, 257, 1975, 4117, 26890, 9154, 3224], "avg_logprob": -0.1969696915510929, "compression_ratio": 1.8125, "no_speech_prob": 0.0, "words": [{"start": 1852.86, "end": 1853.36, "word": "الان", "probability": 0.731201171875}, {"start": 1853.36, "end": 1853.84, "word": " حسب", "probability": 0.923095703125}, {"start": 1853.84, "end": 1854.52, "word": " نظرية", "probability": 0.9366455078125}, {"start": 1854.52, "end": 1855.1, "word": " الكورينة", "probability": 0.7474365234375}, {"start": 1855.1, "end": 1855.8, "word": " النتيجة", "probability": 0.83172607421875}, {"start": 1855.8, "end": 1856.1, "word": " واحد", "probability": 0.6546630859375}, {"start": 1856.1, "end": 1856.54, "word": " سبعة", "probability": 0.9401041666666666}, {"start": 1856.54, "end": 1857.62, "word": " اذا", "probability": 0.6177978515625}, {"start": 1857.62, "end": 1857.98, "word": " a", "probability": 0.51904296875}, {"start": 1857.98, "end": 1858.64, "word": " بطلع", "probability": 0.7581787109375}, {"start": 1858.64, "end": 1859.34, "word": " اكبر", "probability": 0.95703125}, {"start": 1859.34, "end": 1859.9, "word": " من", "probability": 0.9912109375}, {"start": 1859.9, "end": 1860.32, "word": " نص", "probability": 0.9853515625}, {"start": 1860.32, "end": 1860.66, "word": " a", "probability": 0.9296875}, {"start": 1860.66, "end": 1862.22, "word": " فاخد", "probability": 0.9150390625}, {"start": 1862.22, "end": 1862.66, "word": " epsilon", "probability": 0.2198486328125}, {"start": 1862.66, "end": 1863.32, "word": " zero", "probability": 0.56591796875}, {"start": 1863.32, "end": 1863.98, "word": " هنا", "probability": 0.9736328125}, {"start": 1863.98, "end": 1865.06, "word": " عدد", "probability": 0.900390625}, {"start": 1865.06, "end": 1865.26, "word": " موجب", "probability": 0.7970377604166666}, {"start": 1865.26, "end": 1865.78, "word": " بساوي", "probability": 0.89404296875}, {"start": 1865.78, "end": 1865.98, "word": " a", "probability": 0.9140625}, {"start": 1865.98, "end": 1866.08, "word": " ع", "probability": 0.75927734375}, {"start": 1866.08, "end": 1866.46, "word": " اتنين", "probability": 0.83648681640625}, {"start": 1866.46, "end": 1866.86, "word": " نص", "probability": 0.854248046875}, {"start": 1866.86, "end": 1867.1, "word": " a", "probability": 0.8447265625}, {"start": 1867.1, "end": 1867.4, "word": " هذا", "probability": 0.382568359375}, {"start": 1867.4, "end": 1867.68, "word": " عدد", "probability": 0.9931640625}, {"start": 1867.68, "end": 1868.16, "word": " موجب", "probability": 0.99560546875}, {"start": 1868.16, "end": 1869.28, "word": " اذا", "probability": 0.74169921875}, {"start": 1869.28, "end": 1869.62, "word": " هاني", "probability": 0.701171875}, {"start": 1869.62, "end": 1870.22, "word": " نجحت", "probability": 0.9921875}, {"start": 1870.22, "end": 1871.26, "word": " في", "probability": 0.4501953125}, {"start": 1871.26, "end": 1872.18, "word": " ايجاد", "probability": 0.8564453125}, {"start": 1872.18, "end": 1873.42, "word": " عدد", "probability": 0.9889322916666666}, {"start": 1873.42, "end": 1873.86, "word": " epsilon", "probability": 0.88427734375}, {"start": 1873.86, "end": 1874.3, "word": " zero", "probability": 0.86279296875}, {"start": 1874.3, "end": 1874.64, "word": " عدد", "probability": 0.9876302083333334}, {"start": 1874.64, "end": 1875.16, "word": " موجب", "probability": 0.9952799479166666}, {"start": 1875.16, "end": 1876.08, "word": " وال", "probability": 0.6767578125}, {"start": 1876.08, "end": 1876.38, "word": " a", "probability": 0.54833984375}, {"start": 1876.38, "end": 1876.94, "word": " اكبر", "probability": 0.8907877604166666}, {"start": 1876.94, "end": 1877.36, "word": " منه", "probability": 0.993408203125}], "temperature": 1.0}, {"id": 70, "seek": 190713, "start": 1878.25, "end": 1907.13, "text": "هذا يتناقض مع الفرض أن a أصغر من إبسلون لكل إبسلون أكبر من السفر أظبط؟ لأن هذا التناقض يثبت النظرية واضح تمام؟ واضح البرهن؟ عيده طيب أنا عندي a عدد حقيقي غير سالم وفي نفس الوجهة أصغر من كل الأعداد الموجبة إبسلون بدا أثبت أن a بساوي سفر", "tokens": [3224, 15730, 7251, 2655, 8315, 4587, 11242, 20449, 27188, 43042, 14739, 257, 5551, 9381, 17082, 2288, 9154, 11933, 3555, 3794, 1211, 11536, 5296, 28820, 11933, 3555, 3794, 1211, 11536, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 5551, 19913, 3555, 9566, 22807, 5296, 33456, 23758, 16712, 8315, 4587, 11242, 7251, 12984, 3555, 2655, 28239, 19913, 2288, 10632, 4032, 46958, 5016, 46811, 10943, 22807, 4032, 46958, 5016, 2423, 26890, 3224, 1863, 22807, 6225, 25708, 3224, 23032, 1829, 3555, 41850, 18871, 16254, 257, 6225, 3215, 3215, 11331, 38436, 38436, 32771, 13546, 8608, 45340, 4032, 41185, 8717, 36178, 2423, 29245, 3224, 3660, 5551, 9381, 17082, 2288, 9154, 28242, 16247, 22488, 18513, 9673, 29245, 49401, 11933, 3555, 3794, 1211, 11536, 4724, 28259, 5551, 12984, 3555, 2655, 14739, 257, 4724, 3794, 995, 45865, 8608, 5172, 2288], "avg_logprob": -0.204556294297444, "compression_ratio": 1.917808219178082, "no_speech_prob": 0.0, "words": [{"start": 1878.25, "end": 1878.67, "word": "هذا", "probability": 0.8955078125}, {"start": 1878.67, "end": 1879.37, "word": " يتناقض", "probability": 0.82392578125}, {"start": 1879.37, "end": 1879.57, "word": " مع", "probability": 0.765625}, {"start": 1879.57, "end": 1880.03, "word": " الفرض", "probability": 0.94580078125}, {"start": 1880.03, "end": 1880.23, "word": " أن", "probability": 0.505859375}, {"start": 1880.23, "end": 1880.59, "word": " a", "probability": 0.583984375}, {"start": 1880.59, "end": 1881.17, "word": " أصغر", "probability": 0.961669921875}, {"start": 1881.17, "end": 1881.35, "word": " من", "probability": 0.9814453125}, {"start": 1881.35, "end": 1881.79, "word": " إبسلون", "probability": 0.769970703125}, {"start": 1881.79, "end": 1882.17, "word": " لكل", "probability": 0.95361328125}, {"start": 1882.17, "end": 1882.57, "word": " إبسلون", "probability": 0.97138671875}, {"start": 1882.57, "end": 1882.87, "word": " أكبر", "probability": 0.9729817708333334}, {"start": 1882.87, "end": 1883.03, "word": " من", "probability": 0.99267578125}, {"start": 1883.03, "end": 1883.43, "word": " السفر", "probability": 0.7107340494791666}, {"start": 1883.43, "end": 1884.91, "word": " أظبط؟", "probability": 0.56240234375}, {"start": 1884.91, "end": 1886.19, "word": " لأن", "probability": 0.5531005859375}, {"start": 1886.19, "end": 1886.41, "word": " هذا", "probability": 0.90771484375}, {"start": 1886.41, "end": 1886.91, "word": " التناقض", "probability": 0.9814453125}, {"start": 1886.91, "end": 1887.57, "word": " يثبت", "probability": 0.9012451171875}, {"start": 1887.57, "end": 1889.19, "word": " النظرية", "probability": 0.8233642578125}, {"start": 1889.19, "end": 1891.59, "word": " واضح", "probability": 0.9373372395833334}, {"start": 1891.59, "end": 1892.91, "word": " تمام؟", "probability": 0.8499348958333334}, {"start": 1892.91, "end": 1893.55, "word": " واضح", "probability": 0.9358723958333334}, {"start": 1893.55, "end": 1895.21, "word": " البرهن؟", "probability": 0.734375}, {"start": 1895.21, "end": 1895.69, "word": " عيده", "probability": 0.7718912760416666}, {"start": 1895.69, "end": 1896.41, "word": " طيب", "probability": 0.8653971354166666}, {"start": 1896.41, "end": 1897.99, "word": " أنا", "probability": 0.63330078125}, {"start": 1897.99, "end": 1898.43, "word": " عندي", "probability": 0.86083984375}, {"start": 1898.43, "end": 1898.67, "word": " a", "probability": 0.9501953125}, {"start": 1898.67, "end": 1899.01, "word": " عدد", "probability": 0.97412109375}, {"start": 1899.01, "end": 1899.47, "word": " حقيقي", "probability": 0.98388671875}, {"start": 1899.47, "end": 1899.73, "word": " غير", "probability": 0.972900390625}, {"start": 1899.73, "end": 1900.15, "word": " سالم", "probability": 0.906982421875}, {"start": 1900.15, "end": 1900.95, "word": " وفي", "probability": 0.77099609375}, {"start": 1900.95, "end": 1901.17, "word": " نفس", "probability": 0.99755859375}, {"start": 1901.17, "end": 1901.61, "word": " الوجهة", "probability": 0.7303466796875}, {"start": 1901.61, "end": 1902.11, "word": " أصغر", "probability": 0.994873046875}, {"start": 1902.11, "end": 1902.31, "word": " من", "probability": 0.9921875}, {"start": 1902.31, "end": 1902.63, "word": " كل", "probability": 0.95458984375}, {"start": 1902.63, "end": 1903.19, "word": " الأعداد", "probability": 0.9259440104166666}, {"start": 1903.19, "end": 1903.75, "word": " الموجبة", "probability": 0.7584635416666666}, {"start": 1903.75, "end": 1904.87, "word": " إبسلون", "probability": 0.964453125}, {"start": 1904.87, "end": 1905.73, "word": " بدا", "probability": 0.31158447265625}, {"start": 1905.73, "end": 1906.01, "word": " أثبت", "probability": 0.9378662109375}, {"start": 1906.01, "end": 1906.13, "word": " أن", "probability": 0.77685546875}, {"start": 1906.13, "end": 1906.33, "word": " a", "probability": 0.87939453125}, {"start": 1906.33, "end": 1906.73, "word": " بساوي", "probability": 0.676513671875}, {"start": 1906.73, "end": 1907.13, "word": " سفر", "probability": 0.9505208333333334}], "temperature": 1.0}, {"id": 71, "seek": 193697, "start": 1908.51, "end": 1936.97, "text": "برهان بالتناقض prove by contradiction assume or suppose the contrary النقيض أو النفي تبع النتيجة يعني a ما بيستويش صفر نفي a بيستوي صفر a لا تستوي صفر طب أنا كاتب هنا ال contrary a أكبر من صفر هذا صح بناء على أن الفرض a أكبر من أكبر من صفر وما بيستويش صفر إذن أكبر من صفر صح طيب الآن", "tokens": [26890, 3224, 7649, 20666, 2655, 8315, 4587, 11242, 7081, 538, 34937, 6552, 420, 7297, 264, 19506, 28239, 38436, 11242, 34051, 28239, 41185, 6055, 3555, 3615, 28239, 31371, 7435, 3660, 37495, 22653, 257, 19446, 4724, 1829, 14851, 45865, 8592, 20328, 5172, 2288, 8717, 41185, 257, 4724, 1829, 14851, 45865, 20328, 5172, 2288, 257, 20193, 6055, 14851, 45865, 20328, 5172, 2288, 23032, 3555, 41850, 9122, 9307, 3555, 34105, 2423, 19506, 257, 5551, 4117, 26890, 9154, 20328, 5172, 2288, 23758, 20328, 5016, 44945, 16606, 15844, 14739, 27188, 43042, 257, 5551, 4117, 26890, 9154, 5551, 4117, 26890, 9154, 20328, 5172, 2288, 4032, 15042, 4724, 1829, 14851, 45865, 8592, 20328, 5172, 2288, 11933, 8848, 1863, 5551, 4117, 26890, 9154, 20328, 5172, 2288, 20328, 5016, 23032, 1829, 3555, 6024, 48506], "avg_logprob": -0.22712500143051148, "compression_ratio": 1.9310344827586208, "no_speech_prob": 0.0, "words": [{"start": 1908.51, "end": 1909.03, "word": "برهان", "probability": 0.61810302734375}, {"start": 1909.03, "end": 1909.71, "word": " بالتناقض", "probability": 0.978515625}, {"start": 1909.71, "end": 1910.03, "word": " prove", "probability": 0.481201171875}, {"start": 1910.03, "end": 1910.21, "word": " by", "probability": 0.86328125}, {"start": 1910.21, "end": 1910.91, "word": " contradiction", "probability": 0.87548828125}, {"start": 1910.91, "end": 1912.67, "word": " assume", "probability": 0.56591796875}, {"start": 1912.67, "end": 1912.97, "word": " or", "probability": 0.46923828125}, {"start": 1912.97, "end": 1913.63, "word": " suppose", "probability": 0.8994140625}, {"start": 1913.63, "end": 1913.87, "word": " the", "probability": 0.8173828125}, {"start": 1913.87, "end": 1914.49, "word": " contrary", "probability": 0.9091796875}, {"start": 1914.49, "end": 1915.43, "word": " النقيض", "probability": 0.7307942708333334}, {"start": 1915.43, "end": 1915.79, "word": " أو", "probability": 0.55224609375}, {"start": 1915.79, "end": 1916.19, "word": " النفي", "probability": 0.8603515625}, {"start": 1916.19, "end": 1916.55, "word": " تبع", "probability": 0.87451171875}, {"start": 1916.55, "end": 1917.49, "word": " النتيجة", "probability": 0.9703369140625}, {"start": 1917.49, "end": 1918.43, "word": " يعني", "probability": 0.854248046875}, {"start": 1918.43, "end": 1918.71, "word": " a", "probability": 0.378662109375}, {"start": 1918.71, "end": 1918.91, "word": " ما", "probability": 0.45166015625}, {"start": 1918.91, "end": 1919.37, "word": " بيستويش", "probability": 0.75830078125}, {"start": 1919.37, "end": 1919.67, "word": " صفر", "probability": 0.7630208333333334}, {"start": 1919.67, "end": 1920.53, "word": " نفي", "probability": 0.83837890625}, {"start": 1920.53, "end": 1920.75, "word": " a", "probability": 0.92041015625}, {"start": 1920.75, "end": 1921.13, "word": " بيستوي", "probability": 0.82958984375}, {"start": 1921.13, "end": 1921.53, "word": " صفر", "probability": 0.96142578125}, {"start": 1921.53, "end": 1921.69, "word": " a", "probability": 0.833984375}, {"start": 1921.69, "end": 1921.81, "word": " لا", "probability": 0.2373046875}, {"start": 1921.81, "end": 1922.15, "word": " تستوي", "probability": 0.8976236979166666}, {"start": 1922.15, "end": 1922.57, "word": " صفر", "probability": 0.9925130208333334}, {"start": 1922.57, "end": 1923.25, "word": " طب", "probability": 0.893310546875}, {"start": 1923.25, "end": 1923.39, "word": " أنا", "probability": 0.460205078125}, {"start": 1923.39, "end": 1923.77, "word": " كاتب", "probability": 0.9737955729166666}, {"start": 1923.77, "end": 1923.93, "word": " هنا", "probability": 0.75537109375}, {"start": 1923.93, "end": 1924.05, "word": " ال", "probability": 0.9169921875}, {"start": 1924.05, "end": 1924.45, "word": " contrary", "probability": 0.85107421875}, {"start": 1924.45, "end": 1924.67, "word": " a", "probability": 0.7373046875}, {"start": 1924.67, "end": 1924.95, "word": " أكبر", "probability": 0.955078125}, {"start": 1924.95, "end": 1925.13, "word": " من", "probability": 0.9931640625}, {"start": 1925.13, "end": 1925.41, "word": " صفر", "probability": 0.97412109375}, {"start": 1925.41, "end": 1925.61, "word": " هذا", "probability": 0.63720703125}, {"start": 1925.61, "end": 1926.67, "word": " صح", "probability": 0.99609375}, {"start": 1926.67, "end": 1927.21, "word": " بناء", "probability": 0.775390625}, {"start": 1927.21, "end": 1927.47, "word": " على", "probability": 0.82080078125}, {"start": 1927.47, "end": 1927.71, "word": " أن", "probability": 0.5546875}, {"start": 1927.71, "end": 1928.25, "word": " الفرض", "probability": 0.888916015625}, {"start": 1928.25, "end": 1928.65, "word": " a", "probability": 0.88134765625}, {"start": 1928.65, "end": 1929.11, "word": " أكبر", "probability": 0.98046875}, {"start": 1929.11, "end": 1929.25, "word": " من", "probability": 0.97509765625}, {"start": 1929.25, "end": 1929.35, "word": " أكبر", "probability": 0.8131510416666666}, {"start": 1929.35, "end": 1929.47, "word": " من", "probability": 0.1610107421875}, {"start": 1929.47, "end": 1929.89, "word": " صفر", "probability": 0.85205078125}, {"start": 1929.89, "end": 1930.13, "word": " وما", "probability": 0.604736328125}, {"start": 1930.13, "end": 1930.59, "word": " بيستويش", "probability": 0.95244140625}, {"start": 1930.59, "end": 1931.01, "word": " صفر", "probability": 0.9923502604166666}, {"start": 1931.01, "end": 1931.93, "word": " إذن", "probability": 0.5492350260416666}, {"start": 1931.93, "end": 1932.27, "word": " أكبر", "probability": 0.97119140625}, {"start": 1932.27, "end": 1932.45, "word": " من", "probability": 0.99609375}, {"start": 1932.45, "end": 1932.87, "word": " صفر", "probability": 0.9915364583333334}, {"start": 1932.87, "end": 1933.35, "word": " صح", "probability": 0.84765625}, {"start": 1933.35, "end": 1934.97, "word": " طيب", "probability": 0.8639322916666666}, {"start": 1934.97, "end": 1936.97, "word": " الآن", "probability": 0.7861328125}], "temperature": 1.0}, {"id": 72, "seek": 195067, "start": 1938.23, "end": 1950.67, "text": "لو أخدت Epsilon Zero بساوي نص A و بما أنه A عدد موجب فنتيجة واحدة السابعة بتقول لو كان A عدد موجب فنص A بطلع عدد موجب", "tokens": [1211, 2407, 5551, 9778, 3215, 2655, 462, 16592, 17182, 4724, 3794, 995, 45865, 8717, 9381, 316, 4032, 4724, 15042, 14739, 3224, 316, 6225, 3215, 3215, 3714, 29245, 3555, 6156, 29399, 1829, 7435, 3660, 36764, 24401, 3660, 21136, 16758, 27884, 39894, 39648, 45164, 25961, 316, 6225, 3215, 3215, 3714, 29245, 3555, 6156, 1863, 9381, 316, 4724, 9566, 1211, 3615, 6225, 3215, 3215, 3714, 29245, 3555], "avg_logprob": -0.2153846153846154, "compression_ratio": 1.4511278195488722, "no_speech_prob": 0.0, "words": [{"start": 1938.23, "end": 1938.67, "word": "لو", "probability": 0.6351318359375}, {"start": 1938.67, "end": 1939.19, "word": " أخدت", "probability": 0.86865234375}, {"start": 1939.19, "end": 1939.65, "word": " Epsilon", "probability": 0.542205810546875}, {"start": 1939.65, "end": 1939.99, "word": " Zero", "probability": 0.3662109375}, {"start": 1939.99, "end": 1940.47, "word": " بساوي", "probability": 0.7205810546875}, {"start": 1940.47, "end": 1940.83, "word": " نص", "probability": 0.970703125}, {"start": 1940.83, "end": 1941.15, "word": " A", "probability": 0.65283203125}, {"start": 1941.15, "end": 1942.27, "word": " و", "probability": 0.546875}, {"start": 1942.27, "end": 1942.55, "word": " بما", "probability": 0.7237548828125}, {"start": 1942.55, "end": 1942.83, "word": " أنه", "probability": 0.5970458984375}, {"start": 1942.83, "end": 1942.91, "word": " A", "probability": 0.87890625}, {"start": 1942.91, "end": 1943.27, "word": " عدد", "probability": 0.9694010416666666}, {"start": 1943.27, "end": 1943.77, "word": " موجب", "probability": 0.9890950520833334}, {"start": 1943.77, "end": 1944.59, "word": " فنتيجة", "probability": 0.93916015625}, {"start": 1944.59, "end": 1944.89, "word": " واحدة", "probability": 0.5924479166666666}, {"start": 1944.89, "end": 1945.15, "word": " السابعة", "probability": 0.7010091145833334}, {"start": 1945.15, "end": 1945.65, "word": " بتقول", "probability": 0.959228515625}, {"start": 1945.65, "end": 1946.49, "word": " لو", "probability": 0.71044921875}, {"start": 1946.49, "end": 1946.79, "word": " كان", "probability": 0.98388671875}, {"start": 1946.79, "end": 1946.91, "word": " A", "probability": 0.931640625}, {"start": 1946.91, "end": 1947.21, "word": " عدد", "probability": 0.9892578125}, {"start": 1947.21, "end": 1947.65, "word": " موجب", "probability": 0.9954427083333334}, {"start": 1947.65, "end": 1948.23, "word": " فنص", "probability": 0.9482421875}, {"start": 1948.23, "end": 1948.63, "word": " A", "probability": 0.96044921875}, {"start": 1948.63, "end": 1949.85, "word": " بطلع", "probability": 0.77618408203125}, {"start": 1949.85, "end": 1950.23, "word": " عدد", "probability": 0.9908854166666666}, {"start": 1950.23, "end": 1950.67, "word": " موجب", "probability": 0.9918619791666666}], "temperature": 1.0}, {"id": 73, "seek": 198118, "start": 1951.86, "end": 1981.18, "text": "إذا هيني و في نفس الوجد كمان ال a أكبر من نص a ال a أكبر من نص a وبالتالي إذا هيني لجحت في إيجاد epsilon zero عدد موجب و a أكبر منه هذا بتناقض مع الفرض أنه بتناقض مع الفرض أنه a أصغر من epsilon لكل epsilon موجبة صح؟ الإبارة هذه هي", "tokens": [28814, 15730, 8032, 9957, 1829, 4032, 8978, 8717, 36178, 2423, 29245, 3215, 9122, 2304, 7649, 2423, 257, 5551, 4117, 26890, 9154, 8717, 9381, 257, 2423, 257, 5551, 4117, 26890, 9154, 8717, 9381, 257, 46599, 6027, 2655, 6027, 1829, 11933, 15730, 8032, 9957, 1829, 5296, 7435, 33753, 8978, 11933, 1829, 7435, 18513, 17889, 4018, 6225, 3215, 3215, 3714, 29245, 3555, 4032, 257, 5551, 4117, 26890, 9154, 3224, 23758, 39894, 8315, 4587, 11242, 20449, 27188, 43042, 14739, 3224, 39894, 8315, 4587, 11242, 20449, 27188, 43042, 14739, 3224, 257, 5551, 9381, 17082, 2288, 9154, 17889, 5296, 28820, 17889, 3714, 29245, 49401, 20328, 5016, 22807, 33688, 3555, 9640, 3660, 29538, 39896], "avg_logprob": -0.15740740795930228, "compression_ratio": 1.9635416666666667, "no_speech_prob": 0.0, "words": [{"start": 1951.86, "end": 1952.18, "word": "إذا", "probability": 0.522705078125}, {"start": 1952.18, "end": 1952.72, "word": " هيني", "probability": 0.5055338541666666}, {"start": 1952.72, "end": 1953.44, "word": " و", "probability": 0.68310546875}, {"start": 1953.44, "end": 1953.6, "word": " في", "probability": 0.6005859375}, {"start": 1953.6, "end": 1953.82, "word": " نفس", "probability": 0.9970703125}, {"start": 1953.82, "end": 1954.2, "word": " الوجد", "probability": 0.9134114583333334}, {"start": 1954.2, "end": 1954.64, "word": " كمان", "probability": 0.9661458333333334}, {"start": 1954.64, "end": 1955.52, "word": " ال", "probability": 0.86474609375}, {"start": 1955.52, "end": 1955.8, "word": " a", "probability": 0.607421875}, {"start": 1955.8, "end": 1956.48, "word": " أكبر", "probability": 0.9689127604166666}, {"start": 1956.48, "end": 1956.74, "word": " من", "probability": 0.9951171875}, {"start": 1956.74, "end": 1957.12, "word": " نص", "probability": 0.978759765625}, {"start": 1957.12, "end": 1957.44, "word": " a", "probability": 0.87939453125}, {"start": 1957.44, "end": 1957.86, "word": " ال", "probability": 0.51123046875}, {"start": 1957.86, "end": 1958.06, "word": " a", "probability": 0.97509765625}, {"start": 1958.06, "end": 1958.5, "word": " أكبر", "probability": 0.98876953125}, {"start": 1958.5, "end": 1958.64, "word": " من", "probability": 0.9951171875}, {"start": 1958.64, "end": 1958.9, "word": " نص", "probability": 0.995361328125}, {"start": 1958.9, "end": 1959.16, "word": " a", "probability": 0.97705078125}, {"start": 1959.16, "end": 1959.98, "word": " وبالتالي", "probability": 0.90322265625}, {"start": 1959.98, "end": 1960.56, "word": " إذا", "probability": 0.9345703125}, {"start": 1960.56, "end": 1960.82, "word": " هيني", "probability": 0.9651692708333334}, {"start": 1960.82, "end": 1961.22, "word": " لجحت", "probability": 0.9402669270833334}, {"start": 1961.22, "end": 1961.46, "word": " في", "probability": 0.97802734375}, {"start": 1961.46, "end": 1962.06, "word": " إيجاد", "probability": 0.9783935546875}, {"start": 1962.06, "end": 1962.74, "word": " epsilon", "probability": 0.33544921875}, {"start": 1962.74, "end": 1963.32, "word": " zero", "probability": 0.402099609375}, {"start": 1963.32, "end": 1963.68, "word": " عدد", "probability": 0.9793294270833334}, {"start": 1963.68, "end": 1964.12, "word": " موجب", "probability": 0.984375}, {"start": 1964.12, "end": 1964.8, "word": " و", "probability": 0.8173828125}, {"start": 1964.8, "end": 1965.04, "word": " a", "probability": 0.91748046875}, {"start": 1965.04, "end": 1965.48, "word": " أكبر", "probability": 0.9856770833333334}, {"start": 1965.48, "end": 1965.9, "word": " منه", "probability": 0.990234375}, {"start": 1965.9, "end": 1966.52, "word": " هذا", "probability": 0.87060546875}, {"start": 1966.52, "end": 1967.74, "word": " بتناقض", "probability": 0.81939697265625}, {"start": 1967.74, "end": 1968.3, "word": " مع", "probability": 0.98876953125}, {"start": 1968.3, "end": 1968.9, "word": " الفرض", "probability": 0.9580078125}, {"start": 1968.9, "end": 1970.34, "word": " أنه", "probability": 0.7283935546875}, {"start": 1970.34, "end": 1971.62, "word": " بتناقض", "probability": 0.8458251953125}, {"start": 1971.62, "end": 1971.82, "word": " مع", "probability": 0.99169921875}, {"start": 1971.82, "end": 1972.36, "word": " الفرض", "probability": 0.9873046875}, {"start": 1972.36, "end": 1973.12, "word": " أنه", "probability": 0.926025390625}, {"start": 1973.12, "end": 1974.08, "word": " a", "probability": 0.9501953125}, {"start": 1974.08, "end": 1974.7, "word": " أصغر", "probability": 0.991943359375}, {"start": 1974.7, "end": 1974.88, "word": " من", "probability": 0.99609375}, {"start": 1974.88, "end": 1975.36, "word": " epsilon", "probability": 0.939453125}, {"start": 1975.36, "end": 1975.9, "word": " لكل", "probability": 0.98486328125}, {"start": 1975.9, "end": 1976.48, "word": " epsilon", "probability": 0.95263671875}, {"start": 1976.48, "end": 1977.22, "word": " موجبة", "probability": 0.8694661458333334}, {"start": 1977.22, "end": 1978.9, "word": " صح؟", "probability": 0.66552734375}, {"start": 1978.9, "end": 1980.1, "word": " الإبارة", "probability": 0.779052734375}, {"start": 1980.1, "end": 1980.54, "word": " هذه", "probability": 0.8447265625}, {"start": 1980.54, "end": 1981.18, "word": " هي", "probability": 0.95703125}], "temperature": 1.0}, {"id": 74, "seek": 200525, "start": 1982.59, "end": 2005.25, "text": "نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي هذه نفي", "tokens": [1863, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185, 29538, 8717, 41185], "avg_logprob": -0.07013889206780327, "compression_ratio": 32.5625, "no_speech_prob": 0.0, "words": [{"start": 1982.59, "end": 1983.09, "word": "نفي", "probability": 0.6953125}, {"start": 1983.09, "end": 1983.45, "word": " هذه", "probability": 0.52734375}, {"start": 1983.45, "end": 1984.59, "word": " نفي", "probability": 0.38665771484375}, {"start": 1984.59, "end": 1986.13, "word": " هذه", "probability": 0.81396484375}, {"start": 1986.13, "end": 1987.23, "word": " نفي", "probability": 0.6239013671875}, {"start": 1987.23, "end": 1987.65, "word": " هذه", "probability": 0.8779296875}, {"start": 1987.65, "end": 1987.65, "word": " نفي", "probability": 0.689697265625}, {"start": 1987.65, "end": 1987.65, "word": " هذه", "probability": 0.8212890625}, {"start": 1987.65, "end": 1987.71, "word": " نفي", "probability": 0.800048828125}, {"start": 1987.71, "end": 1987.71, "word": " هذه", "probability": 0.88916015625}, {"start": 1987.71, "end": 1987.71, "word": " نفي", "probability": 0.886474609375}, {"start": 1987.71, "end": 1987.71, "word": " هذه", "probability": 0.92431640625}, {"start": 1987.71, "end": 1987.71, "word": " نفي", "probability": 0.9208984375}, {"start": 1987.71, "end": 1987.71, "word": " هذه", "probability": 0.91552734375}, {"start": 1987.71, "end": 1988.19, "word": " نفي", "probability": 0.930908203125}, {"start": 1988.19, "end": 1988.19, "word": " هذه", "probability": 0.86572265625}, {"start": 1988.19, "end": 1988.61, "word": " نفي", "probability": 0.931640625}, {"start": 1988.61, "end": 1988.85, "word": " هذه", "probability": 0.80224609375}, {"start": 1988.85, "end": 1989.97, "word": " نفي", "probability": 0.936767578125}, {"start": 1989.97, "end": 1989.97, "word": " هذه", "probability": 0.77294921875}, {"start": 1989.97, "end": 1990.65, "word": " نفي", "probability": 0.9423828125}, {"start": 1990.65, "end": 1990.75, "word": " هذه", "probability": 0.78125}, {"start": 1990.75, "end": 1990.93, "word": " نفي", "probability": 0.947265625}, {"start": 1990.93, "end": 1990.93, "word": " هذه", "probability": 0.80712890625}, {"start": 1990.93, "end": 1990.95, "word": " نفي", "probability": 0.949951171875}, {"start": 1990.95, "end": 1990.95, "word": " هذه", "probability": 0.84033203125}, {"start": 1990.95, "end": 1990.95, "word": " نفي", "probability": 0.953125}, {"start": 1990.95, "end": 1990.95, "word": " هذه", "probability": 0.86083984375}, {"start": 1990.95, "end": 1990.95, "word": " نفي", "probability": 0.95654296875}, {"start": 1990.95, "end": 1990.95, "word": " هذه", "probability": 0.88232421875}, {"start": 1990.95, "end": 1990.95, "word": " نفي", "probability": 0.96142578125}, {"start": 1990.95, "end": 1990.95, "word": " هذه", "probability": 0.89501953125}, {"start": 1990.95, "end": 1990.95, "word": " نفي", "probability": 0.96435546875}, {"start": 1990.95, "end": 1990.95, "word": " هذه", "probability": 0.90673828125}, {"start": 1990.95, "end": 1990.95, "word": " نفي", "probability": 0.967529296875}, {"start": 1990.95, "end": 1990.95, "word": " هذه", "probability": 0.91845703125}, {"start": 1990.95, "end": 1990.95, "word": " نفي", "probability": 0.969970703125}, {"start": 1990.95, "end": 1990.95, "word": " هذه", "probability": 0.92724609375}, {"start": 1990.95, "end": 1991.03, "word": " نفي", "probability": 0.972412109375}, {"start": 1991.03, "end": 1991.03, "word": " هذه", "probability": 0.93310546875}, {"start": 1991.03, "end": 1991.03, "word": " نفي", "probability": 0.9736328125}, {"start": 1991.03, "end": 1991.03, "word": " هذه", "probability": 0.93896484375}, {"start": 1991.03, "end": 1991.03, "word": " نفي", "probability": 0.974853515625}, {"start": 1991.03, "end": 1991.03, "word": " هذه", "probability": 0.94677734375}, {"start": 1991.03, "end": 1991.03, "word": " نفي", "probability": 0.976318359375}, {"start": 1991.03, "end": 1991.03, "word": " هذه", "probability": 0.9521484375}, {"start": 1991.03, "end": 1991.07, "word": " نفي", "probability": 0.97705078125}, {"start": 1991.07, "end": 1991.07, "word": " هذه", "probability": 0.95654296875}, {"start": 1991.07, "end": 1991.09, "word": " نفي", "probability": 0.977783203125}, {"start": 1991.09, "end": 1991.09, "word": " هذه", "probability": 0.96142578125}, {"start": 1991.09, "end": 1991.09, "word": " نفي", "probability": 0.978271484375}, {"start": 1991.09, "end": 1991.09, "word": " هذه", "probability": 0.96533203125}, {"start": 1991.09, "end": 1991.09, "word": " نفي", "probability": 0.97900390625}, {"start": 1991.09, "end": 1991.09, "word": " هذه", "probability": 0.96923828125}, {"start": 1991.09, "end": 1991.09, "word": " نفي", "probability": 0.979736328125}, {"start": 1991.09, "end": 1991.09, "word": " هذه", "probability": 0.97216796875}, {"start": 1991.09, "end": 1991.09, "word": " نفي", "probability": 0.980224609375}, {"start": 1991.09, "end": 1991.09, "word": " هذه", "probability": 0.97412109375}, {"start": 1991.09, "end": 1991.09, "word": " نفي", "probability": 0.981201171875}, {"start": 1991.09, "end": 1991.09, "word": " هذه", "probability": 0.97607421875}, {"start": 1991.09, "end": 1991.09, "word": " نفي", "probability": 0.981201171875}, {"start": 1991.09, "end": 1991.09, "word": " هذه", "probability": 0.97802734375}, {"start": 1991.09, "end": 1991.09, "word": " نفي", "probability": 0.982421875}, {"start": 1991.09, "end": 1991.09, "word": " هذه", "probability": 0.97998046875}, {"start": 1991.09, "end": 1991.23, "word": " نفي", "probability": 0.98291015625}, {"start": 1991.23, "end": 1991.23, "word": " هذه", "probability": 0.98095703125}, {"start": 1991.23, "end": 1991.23, "word": " نفي", "probability": 0.9833984375}, {"start": 1991.23, "end": 1991.23, "word": " هذه", "probability": 0.98193359375}, {"start": 1991.23, "end": 1991.23, "word": " نفي", "probability": 0.983642578125}, {"start": 1991.23, "end": 1991.23, "word": " هذه", "probability": 0.982421875}, {"start": 1991.23, "end": 1991.43, "word": " نفي", "probability": 0.984375}, {"start": 1991.43, "end": 1991.43, "word": " هذه", "probability": 0.9833984375}, {"start": 1991.43, "end": 1991.43, "word": " نفي", "probability": 0.984130859375}, {"start": 1991.43, "end": 1991.43, "word": " هذه", "probability": 0.98291015625}, {"start": 1991.43, "end": 1991.43, "word": " نفي", "probability": 0.984619140625}, {"start": 1991.43, "end": 1991.43, "word": " هذه", "probability": 0.98388671875}, {"start": 1991.43, "end": 1991.43, "word": " نفي", "probability": 0.98486328125}, {"start": 1991.43, "end": 1991.43, "word": " هذه", "probability": 0.98388671875}, {"start": 1991.43, "end": 1991.43, "word": " نفي", "probability": 0.985107421875}, {"start": 1991.43, "end": 1991.43, "word": " هذه", "probability": 0.984375}, {"start": 1991.43, "end": 1991.43, "word": " نفي", "probability": 0.9853515625}, {"start": 1991.43, "end": 1991.43, "word": " هذه", "probability": 0.98388671875}, {"start": 1991.43, "end": 1991.43, "word": " نفي", "probability": 0.985107421875}, {"start": 1991.43, "end": 1991.43, "word": " هذه", "probability": 0.98388671875}, {"start": 1991.43, "end": 1991.43, "word": " نفي", "probability": 0.985595703125}, {"start": 1991.43, "end": 1991.43, "word": " هذه", "probability": 0.98388671875}, {"start": 1991.43, "end": 1991.43, "word": " نفي", "probability": 0.9853515625}, {"start": 1991.43, "end": 1991.43, "word": " هذه", "probability": 0.98388671875}, {"start": 1991.43, "end": 1991.43, "word": " نفي", "probability": 0.985107421875}, {"start": 1991.43, "end": 1991.43, "word": " هذه", "probability": 0.982421875}, {"start": 1991.43, "end": 1991.43, "word": " نفي", "probability": 0.9853515625}, {"start": 1991.43, "end": 1991.43, "word": " هذه", "probability": 0.98095703125}, {"start": 1991.43, "end": 1991.43, "word": " نفي", "probability": 0.985107421875}, {"start": 1991.43, "end": 1991.43, "word": " هذه", "probability": 0.97998046875}, {"start": 1991.43, "end": 1991.43, "word": " نفي", "probability": 0.985107421875}, {"start": 1991.43, "end": 1991.43, "word": " هذه", "probability": 0.9794921875}, {"start": 1991.43, "end": 1991.43, "word": " نفي", "probability": 0.9853515625}, {"start": 1991.43, "end": 1991.43, "word": " هذه", "probability": 0.9775390625}, {"start": 1991.43, "end": 1991.43, "word": " نفي", "probability": 0.98486328125}, {"start": 1991.43, "end": 1991.43, "word": " هذه", "probability": 0.97509765625}, {"start": 1991.43, "end": 1991.43, "word": " نفي", "probability": 0.984619140625}, {"start": 1991.43, "end": 1991.43, "word": " هذه", "probability": 0.97216796875}, {"start": 1991.43, "end": 1991.43, "word": " نفي", "probability": 0.984375}, {"start": 1991.43, "end": 1991.43, "word": " هذه", "probability": 0.97705078125}, {"start": 1991.43, "end": 1991.43, "word": " نفي", "probability": 0.984130859375}, {"start": 1991.43, "end": 1991.43, "word": " هذه", "probability": 0.970703125}, {"start": 1991.43, "end": 1991.43, "word": " نفي", "probability": 0.98388671875}, {"start": 1991.43, "end": 1991.43, "word": " هذه", "probability": 0.9677734375}, {"start": 1991.43, "end": 1991.43, "word": " نفي", "probability": 0.98388671875}, {"start": 1991.43, "end": 1991.43, "word": " هذه", "probability": 0.96240234375}, {"start": 1991.43, "end": 1992.71, "word": " نفي", "probability": 0.9833984375}, {"start": 1992.71, "end": 1992.71, "word": " هذه", "probability": 0.95947265625}, {"start": 1992.71, "end": 1992.71, "word": " نفي", "probability": 0.9833984375}, {"start": 1992.71, "end": 1992.71, "word": " هذه", "probability": 0.95751953125}, {"start": 1992.71, "end": 1992.71, "word": " نفي", "probability": 0.983642578125}, {"start": 1992.71, "end": 1992.71, "word": " هذه", "probability": 0.95654296875}, {"start": 1992.71, "end": 1992.71, "word": " نفي", "probability": 0.9833984375}, {"start": 1992.71, "end": 1992.71, "word": " هذه", "probability": 0.947265625}, {"start": 1992.71, "end": 1992.71, "word": " نفي", "probability": 0.983154296875}, {"start": 1992.71, "end": 1992.71, "word": " هذه", "probability": 0.94775390625}, {"start": 1992.71, "end": 1992.81, "word": " نفي", "probability": 0.982666015625}, {"start": 1992.81, "end": 1992.81, "word": " هذه", "probability": 0.9453125}, {"start": 1992.81, "end": 1992.81, "word": " نفي", "probability": 0.982421875}, {"start": 1992.81, "end": 1992.81, "word": " هذه", "probability": 0.95166015625}, {"start": 1992.81, "end": 1992.81, "word": " نفي", "probability": 0.981689453125}, {"start": 1992.81, "end": 1992.81, "word": " هذه", "probability": 0.9501953125}, {"start": 1992.81, "end": 1992.81, "word": " نفي", "probability": 0.98193359375}, {"start": 1992.81, "end": 1992.81, "word": " هذه", "probability": 0.94140625}, {"start": 1992.81, "end": 1993.17, "word": " نفي", "probability": 0.981689453125}, {"start": 1993.17, "end": 1993.37, "word": " هذه", "probability": 0.92626953125}, {"start": 1993.37, "end": 1993.37, "word": " نفي", "probability": 0.98095703125}, {"start": 1993.37, "end": 1993.41, "word": " هذه", "probability": 0.92529296875}, {"start": 1993.41, "end": 1993.73, "word": " نفي", "probability": 0.980224609375}, {"start": 1993.73, "end": 1993.89, "word": " هذه", "probability": 0.9267578125}, {"start": 1993.89, "end": 1994.27, "word": " نفي", "probability": 0.980224609375}, {"start": 1994.27, "end": 1994.37, "word": " هذه", "probability": 0.92333984375}, {"start": 1994.37, "end": 1995.59, "word": " نفي", "probability": 0.97900390625}, {"start": 1995.59, "end": 1996.31, "word": " هذه", "probability": 0.91796875}, {"start": 1996.31, "end": 1997.33, "word": " نفي", "probability": 0.978759765625}, {"start": 1997.33, "end": 1998.31, "word": " هذه", "probability": 0.8994140625}, {"start": 1998.31, "end": 1998.87, "word": " نفي", "probability": 0.97802734375}, {"start": 1998.87, "end": 1999.29, "word": " هذه", "probability": 0.87255859375}, {"start": 1999.29, "end": 1999.79, "word": " نفي", "probability": 0.97802734375}, {"start": 1999.79, "end": 1999.87, "word": " هذه", "probability": 0.8681640625}, {"start": 1999.87, "end": 2001.57, "word": " نفي", "probability": 0.976806640625}, {"start": 2001.57, "end": 2001.57, "word": " هذه", "probability": 0.79150390625}, {"start": 2001.57, "end": 2002.25, "word": " نفي", "probability": 0.975341796875}, {"start": 2002.25, "end": 2002.43, "word": " هذه", "probability": 0.85595703125}, {"start": 2002.43, "end": 2005.25, "word": " نفي", "probability": 0.971923828125}], "temperature": 1.0}, {"id": 75, "seek": 203429, "start": 2008.55, "end": 2034.29, "text": "Okay، إذا إحنا لحد الآن يعني كل شغلنا مبادئ رياضيات، صح؟ طيب، طب ما هي مبادئ رياضيات هي أساس ال .. اسمها أساسية الرياضيات، فاسم على مسمة فبختل فهمة المادة هذه، جابت علينا منيحة يعني، هترتاح في المستجبل كتير Bernoulli inequality", "tokens": [8297, 12399, 11933, 15730, 11933, 5016, 8315, 5296, 24401, 6024, 48506, 37495, 22653, 28242, 13412, 17082, 1211, 8315, 3714, 3555, 18513, 19986, 12602, 1829, 46958, 1829, 9307, 12399, 20328, 5016, 22807, 23032, 1829, 3555, 12399, 23032, 3555, 19446, 39896, 3714, 3555, 18513, 19986, 12602, 1829, 46958, 1829, 9307, 39896, 5551, 3794, 32277, 2423, 4386, 24525, 2304, 11296, 5551, 3794, 32277, 10632, 2423, 16572, 46958, 1829, 9307, 12399, 6156, 32277, 2304, 15844, 3714, 38251, 3660, 6156, 3555, 46456, 1211, 6156, 16095, 3660, 9673, 18513, 3660, 29538, 12399, 10874, 16758, 2655, 25894, 8315, 9154, 1829, 5016, 3660, 37495, 22653, 12399, 8032, 2655, 43500, 39319, 8978, 9673, 14851, 7435, 36150, 9122, 2655, 13546, 10781, 263, 16320, 16970], "avg_logprob": -0.19456521376319555, "compression_ratio": 1.634453781512605, "no_speech_prob": 0.0, "words": [{"start": 2008.55, "end": 2009.27, "word": "Okay،", "probability": 0.36810302734375}, {"start": 2009.27, "end": 2009.45, "word": " إذا", "probability": 0.79345703125}, {"start": 2009.45, "end": 2009.77, "word": " إحنا", "probability": 0.804931640625}, {"start": 2009.77, "end": 2010.03, "word": " لحد", "probability": 0.908203125}, {"start": 2010.03, "end": 2010.47, "word": " الآن", "probability": 0.782958984375}, {"start": 2010.47, "end": 2010.71, "word": " يعني", "probability": 0.928955078125}, {"start": 2010.71, "end": 2010.99, "word": " كل", "probability": 0.9677734375}, {"start": 2010.99, "end": 2011.55, "word": " شغلنا", "probability": 0.980224609375}, {"start": 2011.55, "end": 2012.05, "word": " مبادئ", "probability": 0.917236328125}, {"start": 2012.05, "end": 2012.83, "word": " رياضيات،", "probability": 0.9344889322916666}, {"start": 2012.83, "end": 2014.21, "word": " صح؟", "probability": 0.9700520833333334}, {"start": 2014.21, "end": 2015.27, "word": " طيب،", "probability": 0.8831787109375}, {"start": 2015.27, "end": 2015.57, "word": " طب", "probability": 0.95849609375}, {"start": 2015.57, "end": 2015.63, "word": " ما", "probability": 0.8046875}, {"start": 2015.63, "end": 2015.75, "word": " هي", "probability": 0.91259765625}, {"start": 2015.75, "end": 2016.09, "word": " مبادئ", "probability": 0.989990234375}, {"start": 2016.09, "end": 2016.63, "word": " رياضيات", "probability": 0.92421875}, {"start": 2016.63, "end": 2016.81, "word": " هي", "probability": 0.63623046875}, {"start": 2016.81, "end": 2017.27, "word": " أساس", "probability": 0.9578450520833334}, {"start": 2017.27, "end": 2017.45, "word": " ال", "probability": 0.255126953125}, {"start": 2017.45, "end": 2018.21, "word": " ..", "probability": 0.57080078125}, {"start": 2018.21, "end": 2018.67, "word": " اسمها", "probability": 0.9182942708333334}, {"start": 2018.67, "end": 2019.25, "word": " أساسية", "probability": 0.96240234375}, {"start": 2019.25, "end": 2020.11, "word": " الرياضيات،", "probability": 0.9139811197916666}, {"start": 2020.11, "end": 2020.45, "word": " فاسم", "probability": 0.9759114583333334}, {"start": 2020.45, "end": 2020.61, "word": " على", "probability": 0.90380859375}, {"start": 2020.61, "end": 2021.53, "word": " مسمة", "probability": 0.7184244791666666}, {"start": 2021.53, "end": 2026.39, "word": " فبختل", "probability": 0.65240478515625}, {"start": 2026.39, "end": 2026.91, "word": " فهمة", "probability": 0.8951822916666666}, {"start": 2026.91, "end": 2027.41, "word": " المادة", "probability": 0.9874674479166666}, {"start": 2027.41, "end": 2027.75, "word": " هذه،", "probability": 0.5408935546875}, {"start": 2027.75, "end": 2028.07, "word": " جابت", "probability": 0.748046875}, {"start": 2028.07, "end": 2028.37, "word": " علينا", "probability": 0.6871337890625}, {"start": 2028.37, "end": 2028.83, "word": " منيحة", "probability": 0.7755126953125}, {"start": 2028.83, "end": 2030.03, "word": " يعني،", "probability": 0.617919921875}, {"start": 2030.03, "end": 2030.73, "word": " هترتاح", "probability": 0.9061279296875}, {"start": 2030.73, "end": 2030.87, "word": " في", "probability": 0.96142578125}, {"start": 2030.87, "end": 2031.41, "word": " المستجبل", "probability": 0.8997802734375}, {"start": 2031.41, "end": 2031.85, "word": " كتير", "probability": 0.9391276041666666}, {"start": 2031.85, "end": 2033.65, "word": " Bernoulli", "probability": 0.9186197916666666}, {"start": 2033.65, "end": 2034.29, "word": " inequality", "probability": 0.442138671875}], "temperature": 1.0}, {"id": 76, "seek": 206028, "start": 2036.64, "end": 2060.28, "text": "برنول الانيقوليتي هذه يعني في شوية متباينات طبعا مهمة في الكتاب انا اختارت واحدة منهم لكن في بعض المتباينات الأخرى موجودة في الكتاب وارجو انكم تقراوها فبرنول الانيقوليتي هذه واحدة منهم متباينة برنول يعني بيقول لو كان X عدد حقيقي أكبر من سالب واحد", "tokens": [26890, 1863, 12610, 2423, 7649, 1829, 4587, 12610, 1829, 31371, 29538, 37495, 22653, 8978, 13412, 2407, 10632, 44650, 3555, 995, 9957, 9307, 23032, 3555, 3615, 995, 3714, 16095, 3660, 8978, 33251, 2655, 16758, 1975, 8315, 1975, 46456, 9640, 2655, 36764, 24401, 3660, 9154, 16095, 44381, 8978, 45030, 11242, 9673, 2655, 3555, 995, 9957, 9307, 16247, 34740, 7578, 3714, 29245, 23328, 3660, 8978, 33251, 2655, 16758, 4032, 9640, 7435, 2407, 16472, 24793, 6055, 4587, 23557, 2407, 11296, 6156, 26890, 1863, 12610, 2423, 7649, 1829, 4587, 12610, 1829, 31371, 29538, 36764, 24401, 3660, 9154, 16095, 44650, 3555, 995, 9957, 3660, 4724, 2288, 1863, 12610, 37495, 22653, 4724, 1829, 39648, 45164, 25961, 1783, 6225, 3215, 3215, 11331, 38436, 38436, 5551, 4117, 26890, 9154, 8608, 6027, 3555, 36764, 24401], "avg_logprob": -0.1624503897296058, "compression_ratio": 2.196078431372549, "no_speech_prob": 0.0, "words": [{"start": 2036.64, "end": 2037.38, "word": "برنول", "probability": 0.6927083333333334}, {"start": 2037.38, "end": 2038.0, "word": " الانيقوليتي", "probability": 0.6624232700892857}, {"start": 2038.0, "end": 2038.26, "word": " هذه", "probability": 0.501953125}, {"start": 2038.26, "end": 2038.42, "word": " يعني", "probability": 0.74072265625}, {"start": 2038.42, "end": 2038.58, "word": " في", "probability": 0.8271484375}, {"start": 2038.58, "end": 2038.92, "word": " شوية", "probability": 0.7957356770833334}, {"start": 2038.92, "end": 2039.66, "word": " متباينات", "probability": 0.90498046875}, {"start": 2039.66, "end": 2040.1, "word": " طبعا", "probability": 0.9771728515625}, {"start": 2040.1, "end": 2041.6, "word": " مهمة", "probability": 0.9462890625}, {"start": 2041.6, "end": 2041.76, "word": " في", "probability": 0.88134765625}, {"start": 2041.76, "end": 2042.32, "word": " الكتاب", "probability": 0.98779296875}, {"start": 2042.32, "end": 2044.24, "word": " انا", "probability": 0.766357421875}, {"start": 2044.24, "end": 2044.68, "word": " اختارت", "probability": 0.82244873046875}, {"start": 2044.68, "end": 2045.0, "word": " واحدة", "probability": 0.93359375}, {"start": 2045.0, "end": 2045.3, "word": " منهم", "probability": 0.98095703125}, {"start": 2045.3, "end": 2045.64, "word": " لكن", "probability": 0.7958984375}, {"start": 2045.64, "end": 2045.86, "word": " في", "probability": 0.94580078125}, {"start": 2045.86, "end": 2046.18, "word": " بعض", "probability": 0.934326171875}, {"start": 2046.18, "end": 2046.86, "word": " المتباينات", "probability": 0.9696451822916666}, {"start": 2046.86, "end": 2047.2, "word": " الأخرى", "probability": 0.8133138020833334}, {"start": 2047.2, "end": 2047.54, "word": " موجودة", "probability": 0.9776611328125}, {"start": 2047.54, "end": 2047.64, "word": " في", "probability": 0.958984375}, {"start": 2047.64, "end": 2048.14, "word": " الكتاب", "probability": 0.98974609375}, {"start": 2048.14, "end": 2049.06, "word": " وارجو", "probability": 0.66943359375}, {"start": 2049.06, "end": 2049.26, "word": " انكم", "probability": 0.696044921875}, {"start": 2049.26, "end": 2050.08, "word": " تقراوها", "probability": 0.90947265625}, {"start": 2050.08, "end": 2053.18, "word": " فبرنول", "probability": 0.9456787109375}, {"start": 2053.18, "end": 2053.74, "word": " الانيقوليتي", "probability": 0.9455915178571429}, {"start": 2053.74, "end": 2053.94, "word": " هذه", "probability": 0.87841796875}, {"start": 2053.94, "end": 2054.26, "word": " واحدة", "probability": 0.9698893229166666}, {"start": 2054.26, "end": 2054.64, "word": " منهم", "probability": 0.994384765625}, {"start": 2054.64, "end": 2055.42, "word": " متباينة", "probability": 0.9537109375}, {"start": 2055.42, "end": 2055.82, "word": " برنول", "probability": 0.9500732421875}, {"start": 2055.82, "end": 2055.96, "word": " يعني", "probability": 0.6044921875}, {"start": 2055.96, "end": 2056.32, "word": " بيقول", "probability": 0.7066243489583334}, {"start": 2056.32, "end": 2057.34, "word": " لو", "probability": 0.79052734375}, {"start": 2057.34, "end": 2057.66, "word": " كان", "probability": 0.98876953125}, {"start": 2057.66, "end": 2057.92, "word": " X", "probability": 0.525390625}, {"start": 2057.92, "end": 2058.24, "word": " عدد", "probability": 0.9513346354166666}, {"start": 2058.24, "end": 2058.78, "word": " حقيقي", "probability": 0.9889322916666666}, {"start": 2058.78, "end": 2059.18, "word": " أكبر", "probability": 0.8551432291666666}, {"start": 2059.18, "end": 2059.38, "word": " من", "probability": 0.9951171875}, {"start": 2059.38, "end": 2059.78, "word": " سالب", "probability": 0.7438151041666666}, {"start": 2059.78, "end": 2060.28, "word": " واحد", "probability": 0.95458984375}], "temperature": 1.0}, {"id": 77, "seek": 208689, "start": 2062.33, "end": 2086.89, "text": "فمجموعة واحد و X to the power N دايما أكبر من أو ساوي واحد زائد N ضرب X وهذا صحيح لكل الأعداد الطبيعية نعم في نظرية جاب الهاجم ماخلنهاش شوف مع بعض", "tokens": [5172, 2304, 7435, 2304, 2407, 27884, 36764, 24401, 4032, 1783, 281, 264, 1347, 426, 11778, 47302, 15042, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 36764, 24401, 30767, 16373, 3215, 426, 48812, 25513, 1783, 37037, 15730, 20328, 5016, 1829, 5016, 5296, 28820, 16247, 22488, 18513, 41950, 21292, 3615, 10632, 8717, 25957, 8978, 8717, 19913, 2288, 10632, 10874, 16758, 2423, 3224, 26108, 2304, 19446, 9778, 1211, 1863, 11296, 8592, 13412, 38688, 20449, 45030, 11242], "avg_logprob": -0.18665539896166003, "compression_ratio": 1.436046511627907, "no_speech_prob": 0.0, "words": [{"start": 2062.33, "end": 2063.23, "word": "فمجموعة", "probability": 0.923583984375}, {"start": 2063.23, "end": 2063.69, "word": " واحد", "probability": 0.922119140625}, {"start": 2063.69, "end": 2063.79, "word": " و", "probability": 0.94140625}, {"start": 2063.79, "end": 2064.09, "word": " X", "probability": 0.73486328125}, {"start": 2064.09, "end": 2064.67, "word": " to", "probability": 0.87451171875}, {"start": 2064.67, "end": 2064.83, "word": " the", "probability": 0.91552734375}, {"start": 2064.83, "end": 2065.17, "word": " power", "probability": 0.8916015625}, {"start": 2065.17, "end": 2065.57, "word": " N", "probability": 0.52783203125}, {"start": 2065.57, "end": 2066.67, "word": " دايما", "probability": 0.8128255208333334}, {"start": 2066.67, "end": 2067.19, "word": " أكبر", "probability": 0.805419921875}, {"start": 2067.19, "end": 2067.37, "word": " من", "probability": 0.943359375}, {"start": 2067.37, "end": 2067.53, "word": " أو", "probability": 0.93701171875}, {"start": 2067.53, "end": 2068.01, "word": " ساوي", "probability": 0.94970703125}, {"start": 2068.01, "end": 2068.75, "word": " واحد", "probability": 0.8212890625}, {"start": 2068.75, "end": 2070.07, "word": " زائد", "probability": 0.8963216145833334}, {"start": 2070.07, "end": 2070.41, "word": " N", "probability": 0.892578125}, {"start": 2070.41, "end": 2070.85, "word": " ضرب", "probability": 0.933837890625}, {"start": 2070.85, "end": 2071.27, "word": " X", "probability": 0.9951171875}, {"start": 2071.27, "end": 2072.55, "word": " وهذا", "probability": 0.83251953125}, {"start": 2072.55, "end": 2073.03, "word": " صحيح", "probability": 0.997802734375}, {"start": 2073.03, "end": 2073.43, "word": " لكل", "probability": 0.968017578125}, {"start": 2073.43, "end": 2073.89, "word": " الأعداد", "probability": 0.955078125}, {"start": 2073.89, "end": 2074.69, "word": " الطبيعية", "probability": 0.9736328125}, {"start": 2074.69, "end": 2078.85, "word": " نعم", "probability": 0.6617431640625}, {"start": 2078.85, "end": 2080.51, "word": " في", "probability": 0.36962890625}, {"start": 2080.51, "end": 2080.95, "word": " نظرية", "probability": 0.9720458984375}, {"start": 2080.95, "end": 2081.17, "word": " جاب", "probability": 0.769287109375}, {"start": 2081.17, "end": 2081.51, "word": " الهاجم", "probability": 0.6875}, {"start": 2081.51, "end": 2082.21, "word": " ماخلنهاش", "probability": 0.6479085286458334}, {"start": 2082.21, "end": 2086.29, "word": " شوف", "probability": 0.67919921875}, {"start": 2086.29, "end": 2086.49, "word": " مع", "probability": 0.984375}, {"start": 2086.49, "end": 2086.89, "word": " بعض", "probability": 0.991455078125}], "temperature": 1.0}, {"id": 78, "seek": 211685, "start": 2090.73, "end": 2116.85, "text": "أه صحيح نشوف النظرية واحد تسعة نظرية واحد تسعة بتقول لو كان أندي عددين حقيقين حاصل ضربهم موجب فيا إما اتنين موجبين يا إما اتنين سالبين صح؟", "tokens": [10721, 3224, 20328, 5016, 1829, 5016, 8717, 8592, 38688, 28239, 19913, 2288, 10632, 36764, 24401, 6055, 3794, 27884, 8717, 19913, 2288, 10632, 36764, 24401, 6055, 3794, 27884, 39894, 39648, 45164, 25961, 14739, 16254, 6225, 3215, 3215, 9957, 11331, 38436, 4587, 9957, 11331, 33546, 1211, 48812, 25513, 16095, 3714, 29245, 3555, 6156, 25528, 11933, 15042, 1975, 2655, 1863, 9957, 3714, 29245, 3555, 9957, 35186, 11933, 15042, 1975, 2655, 1863, 9957, 8608, 6027, 3555, 9957, 20328, 5016, 22807], "avg_logprob": -0.1592938265243134, "compression_ratio": 1.7730496453900708, "no_speech_prob": 0.0, "words": [{"start": 2090.73, "end": 2091.13, "word": "أه", "probability": 0.52935791015625}, {"start": 2091.13, "end": 2092.05, "word": " صحيح", "probability": 0.9713134765625}, {"start": 2092.05, "end": 2094.19, "word": " نشوف", "probability": 0.8644205729166666}, {"start": 2094.19, "end": 2094.83, "word": " النظرية", "probability": 0.954345703125}, {"start": 2094.83, "end": 2095.37, "word": " واحد", "probability": 0.90478515625}, {"start": 2095.37, "end": 2095.85, "word": " تسعة", "probability": 0.9664713541666666}, {"start": 2095.85, "end": 2107.61, "word": " نظرية", "probability": 0.9378662109375}, {"start": 2107.61, "end": 2107.89, "word": " واحد", "probability": 0.98974609375}, {"start": 2107.89, "end": 2108.29, "word": " تسعة", "probability": 0.9588216145833334}, {"start": 2108.29, "end": 2108.75, "word": " بتقول", "probability": 0.960205078125}, {"start": 2108.75, "end": 2108.93, "word": " لو", "probability": 0.841796875}, {"start": 2108.93, "end": 2109.19, "word": " كان", "probability": 0.990234375}, {"start": 2109.19, "end": 2109.47, "word": " أندي", "probability": 0.64990234375}, {"start": 2109.47, "end": 2109.85, "word": " عددين", "probability": 0.68975830078125}, {"start": 2109.85, "end": 2110.41, "word": " حقيقين", "probability": 0.802001953125}, {"start": 2110.41, "end": 2110.87, "word": " حاصل", "probability": 0.9140625}, {"start": 2110.87, "end": 2111.35, "word": " ضربهم", "probability": 0.9313151041666666}, {"start": 2111.35, "end": 2111.87, "word": " موجب", "probability": 0.94140625}, {"start": 2111.87, "end": 2112.95, "word": " فيا", "probability": 0.659423828125}, {"start": 2112.95, "end": 2113.17, "word": " إما", "probability": 0.7264404296875}, {"start": 2113.17, "end": 2113.73, "word": " اتنين", "probability": 0.8768310546875}, {"start": 2113.73, "end": 2114.63, "word": " موجبين", "probability": 0.9830322265625}, {"start": 2114.63, "end": 2115.03, "word": " يا", "probability": 0.490478515625}, {"start": 2115.03, "end": 2115.25, "word": " إما", "probability": 0.945556640625}, {"start": 2115.25, "end": 2115.61, "word": " اتنين", "probability": 0.9468994140625}, {"start": 2115.61, "end": 2116.29, "word": " سالبين", "probability": 0.932373046875}, {"start": 2116.29, "end": 2116.85, "word": " صح؟", "probability": 0.9119466145833334}], "temperature": 1.0}, {"id": 79, "seek": 213777, "start": 2117.57, "end": 2137.77, "text": "ممكن يكون الاتنين مختلفين في الإشارة و حصل ضربهم موجب إذا حصل ضرب عددين موجب بيقدر انه اما اتنين موجبين او اتنين سالبين فالبرهان نشوف كيف افرض الفرض تبعنا ان حصل ضرب A وB موجب", "tokens": [2304, 43020, 7251, 30544, 2423, 9307, 1863, 9957, 3714, 46456, 46538, 9957, 8978, 33688, 8592, 9640, 3660, 4032, 11331, 36520, 48812, 25513, 16095, 3714, 29245, 3555, 11933, 15730, 11331, 36520, 48812, 25513, 6225, 3215, 3215, 9957, 3714, 29245, 3555, 4724, 1829, 28543, 2288, 16472, 3224, 1975, 15042, 1975, 2655, 1863, 9957, 3714, 29245, 3555, 9957, 1975, 2407, 1975, 2655, 1863, 9957, 8608, 6027, 3555, 9957, 6156, 6027, 26890, 3224, 7649, 8717, 8592, 38688, 9122, 33911, 1975, 5172, 43042, 27188, 43042, 6055, 3555, 3615, 8315, 16472, 11331, 36520, 48812, 25513, 316, 4032, 33, 3714, 29245, 3555], "avg_logprob": -0.2350260387174785, "compression_ratio": 1.9263803680981595, "no_speech_prob": 0.0, "words": [{"start": 2117.57, "end": 2117.99, "word": "ممكن", "probability": 0.4814453125}, {"start": 2117.99, "end": 2118.37, "word": " يكون", "probability": 0.802978515625}, {"start": 2118.37, "end": 2118.69, "word": " الاتنين", "probability": 0.707611083984375}, {"start": 2118.69, "end": 2119.23, "word": " مختلفين", "probability": 0.9854736328125}, {"start": 2119.23, "end": 2119.33, "word": " في", "probability": 0.89990234375}, {"start": 2119.33, "end": 2119.91, "word": " الإشارة", "probability": 0.972900390625}, {"start": 2119.91, "end": 2120.45, "word": " و", "probability": 0.75048828125}, {"start": 2120.45, "end": 2120.71, "word": " حصل", "probability": 0.5936279296875}, {"start": 2120.71, "end": 2121.11, "word": " ضربهم", "probability": 0.9620768229166666}, {"start": 2121.11, "end": 2121.53, "word": " موجب", "probability": 0.9773763020833334}, {"start": 2121.53, "end": 2123.03, "word": " إذا", "probability": 0.54656982421875}, {"start": 2123.03, "end": 2123.53, "word": " حصل", "probability": 0.931884765625}, {"start": 2123.53, "end": 2123.85, "word": " ضرب", "probability": 0.9833984375}, {"start": 2123.85, "end": 2124.29, "word": " عددين", "probability": 0.69964599609375}, {"start": 2124.29, "end": 2124.79, "word": " موجب", "probability": 0.9884440104166666}, {"start": 2124.79, "end": 2125.31, "word": " بيقدر", "probability": 0.61517333984375}, {"start": 2125.31, "end": 2125.53, "word": " انه", "probability": 0.4588623046875}, {"start": 2125.53, "end": 2125.75, "word": " اما", "probability": 0.7841796875}, {"start": 2125.75, "end": 2126.09, "word": " اتنين", "probability": 0.9722900390625}, {"start": 2126.09, "end": 2126.81, "word": " موجبين", "probability": 0.9688720703125}, {"start": 2126.81, "end": 2127.79, "word": " او", "probability": 0.923828125}, {"start": 2127.79, "end": 2128.21, "word": " اتنين", "probability": 0.9796142578125}, {"start": 2128.21, "end": 2128.93, "word": " سالبين", "probability": 0.910888671875}, {"start": 2128.93, "end": 2131.39, "word": " فالبرهان", "probability": 0.91787109375}, {"start": 2131.39, "end": 2133.21, "word": " نشوف", "probability": 0.6759847005208334}, {"start": 2133.21, "end": 2133.67, "word": " كيف", "probability": 0.951904296875}, {"start": 2133.67, "end": 2134.17, "word": " افرض", "probability": 0.892578125}, {"start": 2134.17, "end": 2134.75, "word": " الفرض", "probability": 0.85888671875}, {"start": 2134.75, "end": 2135.23, "word": " تبعنا", "probability": 0.817626953125}, {"start": 2135.23, "end": 2135.43, "word": " ان", "probability": 0.65234375}, {"start": 2135.43, "end": 2135.91, "word": " حصل", "probability": 0.87451171875}, {"start": 2135.91, "end": 2136.37, "word": " ضرب", "probability": 0.85498046875}, {"start": 2136.37, "end": 2136.91, "word": " A", "probability": 0.3359375}, {"start": 2136.91, "end": 2137.19, "word": " وB", "probability": 0.703857421875}, {"start": 2137.19, "end": 2137.77, "word": " موجب", "probability": 0.9938151041666666}], "temperature": 1.0}, {"id": 80, "seek": 216696, "start": 2138.72, "end": 2166.96, "text": "فهذا أكيد بيقدّي ان لا ال a بيساوي سفر ولا ال b بيساوي سفر لأن لو واحد منهم بيساوي سفر فحاصل الدرب هيطلع بيساوي سفر contradiction تناقض صح؟ لأن هذا الاستنتاج منطقي طيب الان احنا ال a ناخد ناخد الجزء هذا الان انا عند a لا يساوي سفر", "tokens": [5172, 3224, 15730, 5551, 4117, 25708, 4724, 1829, 28543, 11703, 1829, 16472, 20193, 2423, 257, 4724, 1829, 3794, 995, 45865, 8608, 5172, 2288, 49429, 2423, 272, 4724, 1829, 3794, 995, 45865, 8608, 5172, 2288, 5296, 33456, 45164, 36764, 24401, 9154, 16095, 4724, 1829, 3794, 995, 45865, 8608, 5172, 2288, 6156, 5016, 33546, 1211, 32748, 25513, 39896, 9566, 1211, 3615, 4724, 1829, 3794, 995, 45865, 8608, 5172, 2288, 34937, 6055, 8315, 4587, 11242, 20328, 5016, 22807, 5296, 33456, 23758, 42963, 14851, 29399, 26108, 9154, 9566, 38436, 23032, 1829, 3555, 2423, 7649, 1975, 5016, 8315, 2423, 257, 8717, 47283, 3215, 8717, 47283, 3215, 25724, 11622, 38207, 23758, 2423, 7649, 1975, 8315, 43242, 257, 20193, 7251, 3794, 995, 45865, 8608, 5172, 2288], "avg_logprob": -0.21471353533367316, "compression_ratio": 1.9701492537313432, "no_speech_prob": 0.0, "words": [{"start": 2138.72, "end": 2139.2, "word": "فهذا", "probability": 0.7479654947916666}, {"start": 2139.2, "end": 2139.64, "word": " أكيد", "probability": 0.8153483072916666}, {"start": 2139.64, "end": 2140.14, "word": " بيقدّي", "probability": 0.629248046875}, {"start": 2140.14, "end": 2140.38, "word": " ان", "probability": 0.38037109375}, {"start": 2140.38, "end": 2140.6, "word": " لا", "probability": 0.7255859375}, {"start": 2140.6, "end": 2140.76, "word": " ال", "probability": 0.76123046875}, {"start": 2140.76, "end": 2140.94, "word": " a", "probability": 0.361328125}, {"start": 2140.94, "end": 2141.36, "word": " بيساوي", "probability": 0.69140625}, {"start": 2141.36, "end": 2141.7, "word": " سفر", "probability": 0.7528483072916666}, {"start": 2141.7, "end": 2141.86, "word": " ولا", "probability": 0.489013671875}, {"start": 2141.86, "end": 2141.98, "word": " ال", "probability": 0.83203125}, {"start": 2141.98, "end": 2142.1, "word": " b", "probability": 0.947265625}, {"start": 2142.1, "end": 2142.44, "word": " بيساوي", "probability": 0.969921875}, {"start": 2142.44, "end": 2142.78, "word": " سفر", "probability": 0.9847005208333334}, {"start": 2142.78, "end": 2143.04, "word": " لأن", "probability": 0.6544189453125}, {"start": 2143.04, "end": 2143.2, "word": " لو", "probability": 0.9150390625}, {"start": 2143.2, "end": 2143.48, "word": " واحد", "probability": 0.99072265625}, {"start": 2143.48, "end": 2143.8, "word": " منهم", "probability": 0.969482421875}, {"start": 2143.8, "end": 2144.92, "word": " بيساوي", "probability": 0.956640625}, {"start": 2144.92, "end": 2145.36, "word": " سفر", "probability": 0.9772135416666666}, {"start": 2145.36, "end": 2145.88, "word": " فحاصل", "probability": 0.8309326171875}, {"start": 2145.88, "end": 2146.14, "word": " الدرب", "probability": 0.742431640625}, {"start": 2146.14, "end": 2146.52, "word": " هيطلع", "probability": 0.865478515625}, {"start": 2146.52, "end": 2146.92, "word": " بيساوي", "probability": 0.93837890625}, {"start": 2146.92, "end": 2147.34, "word": " سفر", "probability": 0.9969075520833334}, {"start": 2147.34, "end": 2148.28, "word": " contradiction", "probability": 0.475341796875}, {"start": 2148.28, "end": 2149.24, "word": " تناقض", "probability": 0.6112060546875}, {"start": 2149.24, "end": 2150.3, "word": " صح؟", "probability": 0.7418619791666666}, {"start": 2150.3, "end": 2150.52, "word": " لأن", "probability": 0.631591796875}, {"start": 2150.52, "end": 2150.72, "word": " هذا", "probability": 0.8779296875}, {"start": 2150.72, "end": 2151.34, "word": " الاستنتاج", "probability": 0.96533203125}, {"start": 2151.34, "end": 2151.92, "word": " منطقي", "probability": 0.9361979166666666}, {"start": 2151.92, "end": 2153.62, "word": " طيب", "probability": 0.9695638020833334}, {"start": 2153.62, "end": 2154.86, "word": " الان", "probability": 0.58148193359375}, {"start": 2154.86, "end": 2157.86, "word": " احنا", "probability": 0.8756510416666666}, {"start": 2157.86, "end": 2160.46, "word": " ال", "probability": 0.8251953125}, {"start": 2160.46, "end": 2160.62, "word": " a", "probability": 0.89208984375}, {"start": 2160.62, "end": 2161.1, "word": " ناخد", "probability": 0.8728841145833334}, {"start": 2161.1, "end": 2161.68, "word": " ناخد", "probability": 0.8429361979166666}, {"start": 2161.68, "end": 2162.02, "word": " الجزء", "probability": 0.9708658854166666}, {"start": 2162.02, "end": 2162.32, "word": " هذا", "probability": 0.947265625}, {"start": 2162.32, "end": 2165.18, "word": " الان", "probability": 0.812255859375}, {"start": 2165.18, "end": 2165.34, "word": " انا", "probability": 0.82861328125}, {"start": 2165.34, "end": 2165.6, "word": " عند", "probability": 0.5419921875}, {"start": 2165.6, "end": 2165.9, "word": " a", "probability": 0.89501953125}, {"start": 2165.9, "end": 2166.1, "word": " لا", "probability": 0.8974609375}, {"start": 2166.1, "end": 2166.56, "word": " يساوي", "probability": 0.95654296875}, {"start": 2166.56, "end": 2166.96, "word": " سفر", "probability": 0.9886067708333334}], "temperature": 1.0}, {"id": 81, "seek": 219273, "start": 2167.71, "end": 2192.73, "text": "بقى اتراي كاتومي property حسب الخلصية التي هي اما a أكبر من سفر أو a أصغر من سفر صح؟ بقى في احتمالين طيب ناخد ال a لو كان افرض ان a أكبر من سفر فهذا بيدى ان واحد على a أكبر من سفر", "tokens": [3555, 4587, 7578, 1975, 2655, 23557, 1829, 9122, 9307, 20498, 1829, 4707, 11331, 35457, 33962, 1211, 9381, 10632, 38392, 39896, 1975, 15042, 257, 5551, 4117, 26890, 9154, 8608, 5172, 2288, 34051, 257, 5551, 9381, 17082, 2288, 9154, 8608, 5172, 2288, 20328, 5016, 22807, 4724, 4587, 7578, 8978, 1975, 33753, 2304, 6027, 9957, 23032, 1829, 3555, 8717, 47283, 3215, 2423, 257, 45164, 25961, 1975, 5172, 43042, 16472, 257, 5551, 4117, 26890, 9154, 8608, 5172, 2288, 6156, 3224, 15730, 4724, 25708, 7578, 16472, 36764, 24401, 15844, 257, 5551, 4117, 26890, 9154, 8608, 5172, 2288], "avg_logprob": -0.26982527266266526, "compression_ratio": 1.7514450867052023, "no_speech_prob": 0.0, "words": [{"start": 2167.71, "end": 2168.43, "word": "بقى", "probability": 0.6564127604166666}, {"start": 2168.43, "end": 2168.79, "word": " اتراي", "probability": 0.5653076171875}, {"start": 2168.79, "end": 2169.25, "word": " كاتومي", "probability": 0.712646484375}, {"start": 2169.25, "end": 2169.79, "word": " property", "probability": 0.837890625}, {"start": 2169.79, "end": 2170.23, "word": " حسب", "probability": 0.8486328125}, {"start": 2170.23, "end": 2170.87, "word": " الخلصية", "probability": 0.80908203125}, {"start": 2170.87, "end": 2171.13, "word": " التي", "probability": 0.4443359375}, {"start": 2171.13, "end": 2171.53, "word": " هي", "probability": 0.822265625}, {"start": 2171.53, "end": 2173.19, "word": " اما", "probability": 0.632080078125}, {"start": 2173.19, "end": 2173.49, "word": " a", "probability": 0.650390625}, {"start": 2173.49, "end": 2173.87, "word": " أكبر", "probability": 0.9031575520833334}, {"start": 2173.87, "end": 2174.03, "word": " من", "probability": 0.9375}, {"start": 2174.03, "end": 2174.45, "word": " سفر", "probability": 0.6965738932291666}, {"start": 2174.45, "end": 2174.65, "word": " أو", "probability": 0.5107421875}, {"start": 2174.65, "end": 2174.83, "word": " a", "probability": 0.60791015625}, {"start": 2174.83, "end": 2175.19, "word": " أصغر", "probability": 0.9736328125}, {"start": 2175.19, "end": 2175.35, "word": " من", "probability": 0.96923828125}, {"start": 2175.35, "end": 2176.03, "word": " سفر", "probability": 0.9801432291666666}, {"start": 2176.03, "end": 2177.33, "word": " صح؟", "probability": 0.578369140625}, {"start": 2177.33, "end": 2177.63, "word": " بقى", "probability": 0.667724609375}, {"start": 2177.63, "end": 2177.75, "word": " في", "probability": 0.64990234375}, {"start": 2177.75, "end": 2178.47, "word": " احتمالين", "probability": 0.9591796875}, {"start": 2178.47, "end": 2181.43, "word": " طيب", "probability": 0.7594401041666666}, {"start": 2181.43, "end": 2182.87, "word": " ناخد", "probability": 0.9132486979166666}, {"start": 2182.87, "end": 2183.09, "word": " ال", "probability": 0.90478515625}, {"start": 2183.09, "end": 2183.35, "word": " a", "probability": 0.7412109375}, {"start": 2183.35, "end": 2183.65, "word": " لو", "probability": 0.51953125}, {"start": 2183.65, "end": 2184.03, "word": " كان", "probability": 0.98681640625}, {"start": 2184.03, "end": 2184.79, "word": " افرض", "probability": 0.9303385416666666}, {"start": 2184.79, "end": 2185.03, "word": " ان", "probability": 0.6953125}, {"start": 2185.03, "end": 2185.31, "word": " a", "probability": 0.88525390625}, {"start": 2185.31, "end": 2185.77, "word": " أكبر", "probability": 0.9420572916666666}, {"start": 2185.77, "end": 2185.99, "word": " من", "probability": 0.99755859375}, {"start": 2185.99, "end": 2186.47, "word": " سفر", "probability": 0.98046875}, {"start": 2186.47, "end": 2188.25, "word": " فهذا", "probability": 0.96923828125}, {"start": 2188.25, "end": 2188.87, "word": " بيدى", "probability": 0.503173828125}, {"start": 2188.87, "end": 2189.15, "word": " ان", "probability": 0.68896484375}, {"start": 2189.15, "end": 2189.67, "word": " واحد", "probability": 0.879638671875}, {"start": 2189.67, "end": 2189.91, "word": " على", "probability": 0.69580078125}, {"start": 2189.91, "end": 2190.37, "word": " a", "probability": 0.693359375}, {"start": 2190.37, "end": 2192.11, "word": " أكبر", "probability": 0.955078125}, {"start": 2192.11, "end": 2192.31, "word": " من", "probability": 0.99755859375}, {"start": 2192.31, "end": 2192.73, "word": " سفر", "probability": 0.9939778645833334}], "temperature": 1.0}, {"id": 82, "seek": 222221, "start": 2194.58, "end": 2222.22, "text": "هذا يعني 1 على a أكبر من 0 بي��دي أيضًا إلى بي اللي هو بساوي ال بي ممكن اكتبها واحد في بي والواحد ممكن ابدله بواحد على a في a واستخدم ال associative law واكتب هذا على صورة واحد على a في a بي الان هذا موجب", "tokens": [3224, 15730, 37495, 22653, 502, 15844, 257, 5551, 4117, 26890, 9154, 1958, 4724, 1829, 33604, 16254, 36632, 11242, 14111, 995, 30731, 4724, 1829, 13672, 1829, 31439, 4724, 3794, 995, 45865, 2423, 4724, 1829, 3714, 43020, 1975, 4117, 2655, 3555, 11296, 36764, 24401, 8978, 4724, 1829, 16070, 14407, 24401, 3714, 43020, 1975, 44510, 43761, 4724, 14407, 24401, 15844, 257, 8978, 257, 36764, 14851, 9778, 40448, 2423, 4180, 1166, 2101, 36764, 4117, 2655, 3555, 23758, 15844, 20328, 13063, 3660, 36764, 24401, 15844, 257, 8978, 257, 4724, 1829, 2423, 7649, 23758, 3714, 29245, 3555], "avg_logprob": -0.3102921241003534, "compression_ratio": 1.765625, "no_speech_prob": 0.0, "words": [{"start": 2194.58, "end": 2195.04, "word": "هذا", "probability": 0.760986328125}, {"start": 2195.04, "end": 2195.54, "word": " يعني", "probability": 0.60833740234375}, {"start": 2195.54, "end": 2196.0, "word": " 1", "probability": 0.306884765625}, {"start": 2196.0, "end": 2196.3, "word": " على", "probability": 0.541015625}, {"start": 2196.3, "end": 2196.64, "word": " a", "probability": 0.66650390625}, {"start": 2196.64, "end": 2197.2, "word": " أكبر", "probability": 0.9290364583333334}, {"start": 2197.2, "end": 2197.5, "word": " من", "probability": 0.97314453125}, {"start": 2197.5, "end": 2197.82, "word": " 0", "probability": 0.83544921875}, {"start": 2197.82, "end": 2202.62, "word": " بيؤدي", "probability": 0.4305419921875}, {"start": 2202.62, "end": 2203.06, "word": " أيضًا", "probability": 0.734771728515625}, {"start": 2203.06, "end": 2203.38, "word": " إلى", "probability": 0.447265625}, {"start": 2203.38, "end": 2203.78, "word": " بي", "probability": 0.64501953125}, {"start": 2203.78, "end": 2203.94, "word": " اللي", "probability": 0.54888916015625}, {"start": 2203.94, "end": 2204.18, "word": " هو", "probability": 0.9619140625}, {"start": 2204.18, "end": 2204.94, "word": " بساوي", "probability": 0.733154296875}, {"start": 2204.94, "end": 2208.7, "word": " ال", "probability": 0.7431640625}, {"start": 2208.7, "end": 2208.92, "word": " بي", "probability": 0.6021728515625}, {"start": 2208.92, "end": 2209.2, "word": " ممكن", "probability": 0.910400390625}, {"start": 2209.2, "end": 2209.56, "word": " اكتبها", "probability": 0.8974609375}, {"start": 2209.56, "end": 2209.9, "word": " واحد", "probability": 0.7440185546875}, {"start": 2209.9, "end": 2210.04, "word": " في", "probability": 0.84375}, {"start": 2210.04, "end": 2210.64, "word": " بي", "probability": 0.964599609375}, {"start": 2210.64, "end": 2212.46, "word": " والواحد", "probability": 0.8172200520833334}, {"start": 2212.46, "end": 2212.74, "word": " ممكن", "probability": 0.977783203125}, {"start": 2212.74, "end": 2213.22, "word": " ابدله", "probability": 0.7233072916666666}, {"start": 2213.22, "end": 2213.72, "word": " بواحد", "probability": 0.8028971354166666}, {"start": 2213.72, "end": 2213.9, "word": " على", "probability": 0.833984375}, {"start": 2213.9, "end": 2214.16, "word": " a", "probability": 0.2213134765625}, {"start": 2214.16, "end": 2214.32, "word": " في", "probability": 0.96435546875}, {"start": 2214.32, "end": 2214.64, "word": " a", "probability": 0.9208984375}, {"start": 2214.64, "end": 2216.06, "word": " واستخدم", "probability": 0.884765625}, {"start": 2216.06, "end": 2216.16, "word": " ال", "probability": 0.9033203125}, {"start": 2216.16, "end": 2216.88, "word": " associative", "probability": 0.92529296875}, {"start": 2216.88, "end": 2217.16, "word": " law", "probability": 0.84375}, {"start": 2217.16, "end": 2217.6, "word": " واكتب", "probability": 0.84710693359375}, {"start": 2217.6, "end": 2217.8, "word": " هذا", "probability": 0.89013671875}, {"start": 2217.8, "end": 2217.96, "word": " على", "probability": 0.94775390625}, {"start": 2217.96, "end": 2218.32, "word": " صورة", "probability": 0.9767252604166666}, {"start": 2218.32, "end": 2218.7, "word": " واحد", "probability": 0.9736328125}, {"start": 2218.7, "end": 2218.86, "word": " على", "probability": 0.87255859375}, {"start": 2218.86, "end": 2219.18, "word": " a", "probability": 0.92822265625}, {"start": 2219.18, "end": 2219.3, "word": " في", "probability": 0.9775390625}, {"start": 2219.3, "end": 2219.54, "word": " a", "probability": 0.6865234375}, {"start": 2219.54, "end": 2219.78, "word": " بي", "probability": 0.879638671875}, {"start": 2219.78, "end": 2221.26, "word": " الان", "probability": 0.577392578125}, {"start": 2221.26, "end": 2221.64, "word": " هذا", "probability": 0.9345703125}, {"start": 2221.64, "end": 2222.22, "word": " موجب", "probability": 0.97900390625}], "temperature": 1.0}, {"id": 83, "seek": 225242, "start": 2223.75, "end": 2252.43, "text": "وهذا موجب إذا حصلت ضرب بيطلع موجب إذا هذه أثبتت أن ال a أكبر من ال b أكبر من السفر لأ احنا أخدنا ال a أكبر من السفر فأدت إلى أن ال b أكبر من السفر وبالتالي بيطلع ال a و ال b موجبين", "tokens": [2407, 3224, 15730, 3714, 29245, 3555, 11933, 15730, 11331, 36520, 2655, 48812, 25513, 4724, 1829, 9566, 1211, 3615, 3714, 29245, 3555, 11933, 15730, 29538, 5551, 12984, 3555, 2655, 2655, 14739, 2423, 257, 5551, 4117, 26890, 9154, 2423, 272, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 5296, 10721, 1975, 5016, 8315, 5551, 9778, 3215, 8315, 2423, 257, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 6156, 10721, 3215, 2655, 30731, 14739, 2423, 272, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 46599, 6027, 2655, 6027, 1829, 4724, 1829, 9566, 1211, 3615, 2423, 257, 4032, 2423, 272, 3714, 29245, 3555, 9957], "avg_logprob": -0.2024872514362238, "compression_ratio": 2.1448275862068966, "no_speech_prob": 0.0, "words": [{"start": 2223.75, "end": 2224.33, "word": "وهذا", "probability": 0.667724609375}, {"start": 2224.33, "end": 2224.91, "word": " موجب", "probability": 0.9798177083333334}, {"start": 2224.91, "end": 2225.45, "word": " إذا", "probability": 0.6507568359375}, {"start": 2225.45, "end": 2226.01, "word": " حصلت", "probability": 0.8421223958333334}, {"start": 2226.01, "end": 2226.27, "word": " ضرب", "probability": 0.98828125}, {"start": 2226.27, "end": 2226.59, "word": " بيطلع", "probability": 0.71318359375}, {"start": 2226.59, "end": 2227.05, "word": " موجب", "probability": 0.9847005208333334}, {"start": 2227.05, "end": 2228.45, "word": " إذا", "probability": 0.8017578125}, {"start": 2228.45, "end": 2228.69, "word": " هذه", "probability": 0.32275390625}, {"start": 2228.69, "end": 2229.43, "word": " أثبتت", "probability": 0.9669921875}, {"start": 2229.43, "end": 2229.73, "word": " أن", "probability": 0.372314453125}, {"start": 2229.73, "end": 2231.41, "word": " ال", "probability": 0.56103515625}, {"start": 2231.41, "end": 2231.69, "word": " a", "probability": 0.457275390625}, {"start": 2231.69, "end": 2232.33, "word": " أكبر", "probability": 0.97314453125}, {"start": 2232.33, "end": 2232.75, "word": " من", "probability": 0.955078125}, {"start": 2232.75, "end": 2233.87, "word": " ال", "probability": 0.626953125}, {"start": 2233.87, "end": 2234.11, "word": " b", "probability": 0.312744140625}, {"start": 2234.11, "end": 2235.65, "word": " أكبر", "probability": 0.6699625651041666}, {"start": 2235.65, "end": 2235.79, "word": " من", "probability": 0.8662109375}, {"start": 2235.79, "end": 2236.29, "word": " السفر", "probability": 0.8199869791666666}, {"start": 2236.29, "end": 2237.79, "word": " لأ", "probability": 0.545166015625}, {"start": 2237.79, "end": 2238.01, "word": " احنا", "probability": 0.7880859375}, {"start": 2238.01, "end": 2238.51, "word": " أخدنا", "probability": 0.9398193359375}, {"start": 2238.51, "end": 2238.93, "word": " ال", "probability": 0.88232421875}, {"start": 2238.93, "end": 2239.21, "word": " a", "probability": 0.97216796875}, {"start": 2239.21, "end": 2239.75, "word": " أكبر", "probability": 0.9864908854166666}, {"start": 2239.75, "end": 2239.95, "word": " من", "probability": 0.99609375}, {"start": 2239.95, "end": 2240.95, "word": " السفر", "probability": 0.9923502604166666}, {"start": 2240.95, "end": 2244.29, "word": " فأدت", "probability": 0.86279296875}, {"start": 2244.29, "end": 2244.55, "word": " إلى", "probability": 0.94189453125}, {"start": 2244.55, "end": 2244.89, "word": " أن", "probability": 0.7138671875}, {"start": 2244.89, "end": 2245.23, "word": " ال", "probability": 0.84765625}, {"start": 2245.23, "end": 2248.69, "word": " b", "probability": 0.794921875}, {"start": 2248.69, "end": 2249.07, "word": " أكبر", "probability": 0.9876302083333334}, {"start": 2249.07, "end": 2249.29, "word": " من", "probability": 0.99072265625}, {"start": 2249.29, "end": 2249.65, "word": " السفر", "probability": 0.994140625}, {"start": 2249.65, "end": 2250.57, "word": " وبالتالي", "probability": 0.95224609375}, {"start": 2250.57, "end": 2250.93, "word": " بيطلع", "probability": 0.930859375}, {"start": 2250.93, "end": 2251.05, "word": " ال", "probability": 0.93896484375}, {"start": 2251.05, "end": 2251.15, "word": " a", "probability": 0.9541015625}, {"start": 2251.15, "end": 2251.25, "word": " و", "probability": 0.748046875}, {"start": 2251.25, "end": 2251.33, "word": " ال", "probability": 0.88427734375}, {"start": 2251.33, "end": 2251.57, "word": " b", "probability": 0.98876953125}, {"start": 2251.57, "end": 2252.43, "word": " موجبين", "probability": 0.9559326171875}], "temperature": 1.0}, {"id": 84, "seek": 227681, "start": 2254.09, "end": 2276.81, "text": "بالمثل لو افترضت .. اخدت لو افترضت ان a سالب فطبعا مقلوب العدد السالب بيطلع سالب وبالتالي ال b اللي هي بتساوي واحد على a في a b زي ما عملنا هنا ال b بتطلع بتساوي واحد على a في a b ف ..", "tokens": [3555, 45340, 12984, 1211, 45164, 1975, 5172, 2655, 43042, 2655, 4386, 1975, 9778, 3215, 2655, 45164, 1975, 5172, 2655, 43042, 2655, 16472, 257, 8608, 6027, 3555, 6156, 9566, 3555, 3615, 995, 3714, 4587, 1211, 37746, 18863, 3215, 3215, 21136, 6027, 3555, 4724, 1829, 9566, 1211, 3615, 8608, 6027, 3555, 46599, 6027, 2655, 6027, 1829, 2423, 272, 13672, 1829, 39896, 39894, 3794, 995, 45865, 36764, 24401, 15844, 257, 8978, 257, 272, 30767, 1829, 19446, 6225, 42213, 8315, 34105, 2423, 272, 39894, 9566, 1211, 3615, 39894, 3794, 995, 45865, 36764, 24401, 15844, 257, 8978, 257, 272, 6156, 4386], "avg_logprob": -0.24242911879549323, "compression_ratio": 2.0129032258064514, "no_speech_prob": 0.0, "words": [{"start": 2254.0900000000006, "end": 2254.8100000000004, "word": "بالمثل", "probability": 0.9267578125}, {"start": 2254.8100000000004, "end": 2255.53, "word": " لو", "probability": 0.35400390625}, {"start": 2255.53, "end": 2256.05, "word": " افترضت", "probability": 0.7685546875}, {"start": 2256.05, "end": 2256.05, "word": " ..", "probability": 0.11334228515625}, {"start": 2256.05, "end": 2256.59, "word": " اخدت", "probability": 0.818115234375}, {"start": 2256.59, "end": 2258.45, "word": " لو", "probability": 0.413818359375}, {"start": 2258.45, "end": 2258.93, "word": " افترضت", "probability": 0.88173828125}, {"start": 2258.93, "end": 2259.09, "word": " ان", "probability": 0.8017578125}, {"start": 2259.09, "end": 2259.33, "word": " a", "probability": 0.48583984375}, {"start": 2259.33, "end": 2259.95, "word": " سالب", "probability": 0.7513020833333334}, {"start": 2259.95, "end": 2260.81, "word": " فطبعا", "probability": 0.941796875}, {"start": 2260.81, "end": 2262.23, "word": " مقلوب", "probability": 0.9058837890625}, {"start": 2262.23, "end": 2262.79, "word": " العدد", "probability": 0.642578125}, {"start": 2262.79, "end": 2263.23, "word": " السالب", "probability": 0.9534505208333334}, {"start": 2263.23, "end": 2263.57, "word": " بيطلع", "probability": 0.779296875}, {"start": 2263.57, "end": 2264.11, "word": " سالب", "probability": 0.9674479166666666}, {"start": 2264.11, "end": 2265.71, "word": " وبالتالي", "probability": 0.894140625}, {"start": 2265.71, "end": 2265.89, "word": " ال", "probability": 0.8486328125}, {"start": 2265.89, "end": 2266.13, "word": " b", "probability": 0.57275390625}, {"start": 2266.13, "end": 2266.41, "word": " اللي", "probability": 0.77197265625}, {"start": 2266.41, "end": 2266.59, "word": " هي", "probability": 0.79296875}, {"start": 2266.59, "end": 2267.31, "word": " بتساوي", "probability": 0.8778076171875}, {"start": 2267.31, "end": 2267.85, "word": " واحد", "probability": 0.8515625}, {"start": 2267.85, "end": 2268.05, "word": " على", "probability": 0.625}, {"start": 2268.05, "end": 2268.35, "word": " a", "probability": 0.6484375}, {"start": 2268.35, "end": 2268.49, "word": " في", "probability": 0.75341796875}, {"start": 2268.49, "end": 2268.73, "word": " a", "probability": 0.5703125}, {"start": 2268.73, "end": 2268.99, "word": " b", "probability": 0.400390625}, {"start": 2268.99, "end": 2269.65, "word": " زي", "probability": 0.9482421875}, {"start": 2269.65, "end": 2269.77, "word": " ما", "probability": 0.97216796875}, {"start": 2269.77, "end": 2270.13, "word": " عملنا", "probability": 0.9768880208333334}, {"start": 2270.13, "end": 2270.51, "word": " هنا", "probability": 0.98779296875}, {"start": 2270.51, "end": 2272.65, "word": " ال", "probability": 0.444091796875}, {"start": 2272.65, "end": 2272.83, "word": " b", "probability": 0.90380859375}, {"start": 2272.83, "end": 2273.31, "word": " بتطلع", "probability": 0.93798828125}, {"start": 2273.31, "end": 2273.75, "word": " بتساوي", "probability": 0.8529052734375}, {"start": 2273.75, "end": 2274.09, "word": " واحد", "probability": 0.97607421875}, {"start": 2274.09, "end": 2274.23, "word": " على", "probability": 0.8544921875}, {"start": 2274.23, "end": 2274.49, "word": " a", "probability": 0.97607421875}, {"start": 2274.49, "end": 2274.63, "word": " في", "probability": 0.9775390625}, {"start": 2274.63, "end": 2274.89, "word": " a", "probability": 0.95458984375}, {"start": 2274.89, "end": 2275.17, "word": " b", "probability": 0.8876953125}, {"start": 2275.17, "end": 2276.49, "word": " ف", "probability": 0.95361328125}, {"start": 2276.49, "end": 2276.81, "word": " ..", "probability": 0.7333984375}], "temperature": 1.0}, {"id": 85, "seek": 231003, "start": 2280.67, "end": 2310.03, "text": "فهذا بيطلع الحاصل بضرب سالب لأن عندي انا هي هذه المتباينة هذه هي واحد على ا سالب لو ضربت المتباينة هذه في العدد الموجب a,b اللي هو عدد موجب فبصير المتباينة هذه عبارة عن واحد على a في a,b الطرف الشمال وضربتها في عدد موجب فبطلع أصغر من سفر في a,b اللي هو سفر", "tokens": [5172, 3224, 15730, 4724, 1829, 9566, 1211, 3615, 21542, 33546, 1211, 4724, 11242, 25513, 8608, 6027, 3555, 5296, 33456, 18871, 16254, 1975, 8315, 39896, 29538, 9673, 2655, 3555, 995, 9957, 3660, 29538, 39896, 36764, 24401, 15844, 1975, 8608, 6027, 3555, 45164, 48812, 25513, 2655, 9673, 2655, 3555, 995, 9957, 3660, 29538, 8978, 18863, 3215, 3215, 9673, 29245, 3555, 257, 11, 65, 13672, 1829, 31439, 6225, 3215, 3215, 3714, 29245, 3555, 6156, 3555, 9381, 13546, 9673, 2655, 3555, 995, 9957, 3660, 29538, 6225, 3555, 9640, 3660, 18871, 36764, 24401, 15844, 257, 8978, 257, 11, 65, 41950, 28480, 25124, 2304, 6027, 4032, 11242, 25513, 2655, 11296, 8978, 6225, 3215, 3215, 3714, 29245, 3555, 6156, 3555, 9566, 1211, 3615, 5551, 9381, 17082, 2288, 9154, 8608, 5172, 2288, 8978, 257, 11, 65, 13672, 1829, 31439, 8608, 5172, 2288], "avg_logprob": -0.16585648081920765, "compression_ratio": 2.222772277227723, "no_speech_prob": 0.0, "words": [{"start": 2280.67, "end": 2281.11, "word": "فهذا", "probability": 0.65643310546875}, {"start": 2281.11, "end": 2281.47, "word": " بيطلع", "probability": 0.7302734375}, {"start": 2281.47, "end": 2281.93, "word": " الحاصل", "probability": 0.723388671875}, {"start": 2281.93, "end": 2282.33, "word": " بضرب", "probability": 0.7352701822916666}, {"start": 2282.33, "end": 2282.89, "word": " سالب", "probability": 0.91064453125}, {"start": 2282.89, "end": 2284.33, "word": " لأن", "probability": 0.663818359375}, {"start": 2284.33, "end": 2284.79, "word": " عندي", "probability": 0.7027587890625}, {"start": 2284.79, "end": 2285.09, "word": " انا", "probability": 0.6766357421875}, {"start": 2285.09, "end": 2285.43, "word": " هي", "probability": 0.289306640625}, {"start": 2285.43, "end": 2285.85, "word": " هذه", "probability": 0.7353515625}, {"start": 2285.85, "end": 2286.95, "word": " المتباينة", "probability": 0.9586588541666666}, {"start": 2286.95, "end": 2287.59, "word": " هذه", "probability": 0.404052734375}, {"start": 2287.59, "end": 2288.61, "word": " هي", "probability": 0.68701171875}, {"start": 2288.61, "end": 2288.97, "word": " واحد", "probability": 0.8759765625}, {"start": 2288.97, "end": 2289.17, "word": " على", "probability": 0.6015625}, {"start": 2289.17, "end": 2289.37, "word": " ا", "probability": 0.6201171875}, {"start": 2289.37, "end": 2289.97, "word": " سالب", "probability": 0.8035481770833334}, {"start": 2289.97, "end": 2290.97, "word": " لو", "probability": 0.8916015625}, {"start": 2290.97, "end": 2291.49, "word": " ضربت", "probability": 0.9860026041666666}, {"start": 2291.49, "end": 2292.29, "word": " المتباينة", "probability": 0.9876302083333334}, {"start": 2292.29, "end": 2292.57, "word": " هذه", "probability": 0.8173828125}, {"start": 2292.57, "end": 2292.73, "word": " في", "probability": 0.92822265625}, {"start": 2292.73, "end": 2293.15, "word": " العدد", "probability": 0.8894856770833334}, {"start": 2293.15, "end": 2293.71, "word": " الموجب", "probability": 0.9905598958333334}, {"start": 2293.71, "end": 2294.03, "word": " a", "probability": 0.41650390625}, {"start": 2294.03, "end": 2294.25, "word": ",b", "probability": 0.664794921875}, {"start": 2294.25, "end": 2295.57, "word": " اللي", "probability": 0.937744140625}, {"start": 2295.57, "end": 2295.75, "word": " هو", "probability": 0.99072265625}, {"start": 2295.75, "end": 2296.07, "word": " عدد", "probability": 0.9892578125}, {"start": 2296.07, "end": 2296.63, "word": " موجب", "probability": 0.9908854166666666}, {"start": 2296.63, "end": 2298.37, "word": " فبصير", "probability": 0.900634765625}, {"start": 2298.37, "end": 2299.07, "word": " المتباينة", "probability": 0.978271484375}, {"start": 2299.07, "end": 2299.21, "word": " هذه", "probability": 0.8427734375}, {"start": 2299.21, "end": 2299.63, "word": " عبارة", "probability": 0.994140625}, {"start": 2299.63, "end": 2299.85, "word": " عن", "probability": 0.99365234375}, {"start": 2299.85, "end": 2300.29, "word": " واحد", "probability": 0.98828125}, {"start": 2300.29, "end": 2300.49, "word": " على", "probability": 0.7978515625}, {"start": 2300.49, "end": 2300.81, "word": " a", "probability": 0.45166015625}, {"start": 2300.81, "end": 2300.95, "word": " في", "probability": 0.9345703125}, {"start": 2300.95, "end": 2301.27, "word": " a", "probability": 0.82080078125}, {"start": 2301.27, "end": 2301.47, "word": ",b", "probability": 0.982666015625}, {"start": 2301.47, "end": 2301.91, "word": " الطرف", "probability": 0.829833984375}, {"start": 2301.91, "end": 2302.53, "word": " الشمال", "probability": 0.98388671875}, {"start": 2302.53, "end": 2304.61, "word": " وضربتها", "probability": 0.8783203125}, {"start": 2304.61, "end": 2304.65, "word": " في", "probability": 0.9765625}, {"start": 2304.65, "end": 2304.93, "word": " عدد", "probability": 0.9930013020833334}, {"start": 2304.93, "end": 2305.33, "word": " موجب", "probability": 0.9952799479166666}, {"start": 2305.33, "end": 2305.85, "word": " فبطلع", "probability": 0.88125}, {"start": 2305.85, "end": 2306.33, "word": " أصغر", "probability": 0.902099609375}, {"start": 2306.33, "end": 2306.85, "word": " من", "probability": 0.99658203125}, {"start": 2306.85, "end": 2308.55, "word": " سفر", "probability": 0.8728841145833334}, {"start": 2308.55, "end": 2308.77, "word": " في", "probability": 0.97900390625}, {"start": 2308.77, "end": 2309.07, "word": " a", "probability": 0.96142578125}, {"start": 2309.07, "end": 2309.25, "word": ",b", "probability": 0.990478515625}, {"start": 2309.25, "end": 2309.47, "word": " اللي", "probability": 0.97900390625}, {"start": 2309.47, "end": 2309.65, "word": " هو", "probability": 0.994140625}, {"start": 2309.65, "end": 2310.03, "word": " سفر", "probability": 0.9803059895833334}], "temperature": 1.0}, {"id": 86, "seek": 232042, "start": 2312.73, "end": 2320.43, "text": "وبالتالي بيطلع عندي الـ B بيطلع عند الـ B التي هي أصغر للسفر", "tokens": [37746, 6027, 2655, 6027, 1829, 4724, 1829, 9566, 1211, 3615, 43242, 1829, 2423, 39184, 363, 4724, 1829, 9566, 1211, 3615, 43242, 2423, 39184, 363, 38392, 39896, 5551, 9381, 17082, 2288, 24976, 3794, 5172, 2288], "avg_logprob": -0.5781249795641218, "compression_ratio": 1.358974358974359, "no_speech_prob": 0.0, "words": [{"start": 2312.73, "end": 2313.41, "word": "وبالتالي", "probability": 0.87734375}, {"start": 2313.41, "end": 2313.87, "word": " بيطلع", "probability": 0.667236328125}, {"start": 2313.87, "end": 2314.31, "word": " عندي", "probability": 0.509033203125}, {"start": 2314.31, "end": 2314.55, "word": " الـ", "probability": 0.45220947265625}, {"start": 2314.55, "end": 2314.89, "word": " B", "probability": 0.3544921875}, {"start": 2314.89, "end": 2317.75, "word": " بيطلع", "probability": 0.7164306640625}, {"start": 2317.75, "end": 2317.95, "word": " عند", "probability": 0.80419921875}, {"start": 2317.95, "end": 2318.19, "word": " الـ", "probability": 0.5830078125}, {"start": 2318.19, "end": 2318.35, "word": " B", "probability": 0.6201171875}, {"start": 2318.35, "end": 2318.55, "word": " التي", "probability": 0.06671142578125}, {"start": 2318.55, "end": 2318.73, "word": " هي", "probability": 0.55859375}, {"start": 2318.73, "end": 2319.89, "word": " أصغر", "probability": 0.7794189453125}, {"start": 2319.89, "end": 2320.43, "word": " للسفر", "probability": 0.657958984375}], "temperature": 1.0}, {"id": 87, "seek": 234917, "start": 2320.99, "end": 2349.17, "text": "إذا مرة تانية لو فرضنا أن a,b أكبر من 0 فشوفنا أن لا ال a بالساوية 0 ولا ال b بالساوية 0 وبالتالي أما بطلع a أكبر من 0 أو a أصغر من 0 في الحالة الأولى لو كان a أكبر من 0 بطلع b أكبر من 0 وبالتالي a وb موجبين في الاحتمال التاني أو الحالة التانية لو كان a سالب فشوفنا أن بطلع b سالب", "tokens": [28814, 15730, 3714, 25720, 6055, 7649, 10632, 45164, 6156, 43042, 8315, 14739, 257, 11, 65, 5551, 4117, 26890, 9154, 1958, 6156, 8592, 38688, 8315, 14739, 20193, 2423, 257, 20666, 3794, 995, 2407, 10632, 1958, 49429, 2423, 272, 20666, 3794, 995, 2407, 10632, 1958, 46599, 6027, 2655, 6027, 1829, 5551, 15042, 4724, 9566, 1211, 3615, 257, 5551, 4117, 26890, 9154, 1958, 34051, 257, 5551, 9381, 17082, 2288, 9154, 1958, 8978, 21542, 6027, 3660, 16247, 12610, 7578, 45164, 25961, 257, 5551, 4117, 26890, 9154, 1958, 4724, 9566, 1211, 3615, 272, 5551, 4117, 26890, 9154, 1958, 46599, 6027, 2655, 6027, 1829, 257, 4032, 65, 3714, 29245, 3555, 9957, 8978, 42963, 33753, 2304, 6027, 16712, 7649, 1829, 34051, 21542, 6027, 3660, 16712, 7649, 10632, 45164, 25961, 257, 8608, 6027, 3555, 6156, 8592, 38688, 8315, 14739, 4724, 9566, 1211, 3615, 272, 8608, 6027, 3555], "avg_logprob": -0.157031248403447, "compression_ratio": 2.4183673469387754, "no_speech_prob": 0.0, "words": [{"start": 2320.99, "end": 2321.37, "word": "إذا", "probability": 0.50970458984375}, {"start": 2321.37, "end": 2321.77, "word": " مرة", "probability": 0.8994140625}, {"start": 2321.77, "end": 2322.25, "word": " تانية", "probability": 0.9267578125}, {"start": 2322.25, "end": 2323.41, "word": " لو", "probability": 0.337646484375}, {"start": 2323.41, "end": 2324.61, "word": " فرضنا", "probability": 0.8746744791666666}, {"start": 2324.61, "end": 2324.79, "word": " أن", "probability": 0.5537109375}, {"start": 2324.79, "end": 2325.07, "word": " a", "probability": 0.59716796875}, {"start": 2325.07, "end": 2325.31, "word": ",b", "probability": 0.5185546875}, {"start": 2325.31, "end": 2325.75, "word": " أكبر", "probability": 0.935546875}, {"start": 2325.75, "end": 2325.99, "word": " من", "probability": 0.986328125}, {"start": 2325.99, "end": 2326.39, "word": " 0", "probability": 0.392578125}, {"start": 2326.39, "end": 2328.17, "word": " فشوفنا", "probability": 0.95068359375}, {"start": 2328.17, "end": 2328.35, "word": " أن", "probability": 0.86083984375}, {"start": 2328.35, "end": 2328.51, "word": " لا", "probability": 0.8701171875}, {"start": 2328.51, "end": 2328.65, "word": " ال", "probability": 0.460693359375}, {"start": 2328.65, "end": 2328.73, "word": " a", "probability": 0.6064453125}, {"start": 2328.73, "end": 2329.15, "word": " بالساوية", "probability": 0.6595703125}, {"start": 2329.15, "end": 2329.41, "word": " 0", "probability": 0.52099609375}, {"start": 2329.41, "end": 2329.63, "word": " ولا", "probability": 0.7822265625}, {"start": 2329.63, "end": 2329.75, "word": " ال", "probability": 0.94677734375}, {"start": 2329.75, "end": 2329.91, "word": " b", "probability": 0.98583984375}, {"start": 2329.91, "end": 2330.29, "word": " بالساوية", "probability": 0.9685546875}, {"start": 2330.29, "end": 2330.67, "word": " 0", "probability": 0.97509765625}, {"start": 2330.67, "end": 2332.03, "word": " وبالتالي", "probability": 0.9103515625}, {"start": 2332.03, "end": 2332.31, "word": " أما", "probability": 0.6558837890625}, {"start": 2332.31, "end": 2332.81, "word": " بطلع", "probability": 0.739013671875}, {"start": 2332.81, "end": 2333.03, "word": " a", "probability": 0.97216796875}, {"start": 2333.03, "end": 2333.47, "word": " أكبر", "probability": 0.97802734375}, {"start": 2333.47, "end": 2333.69, "word": " من", "probability": 0.9951171875}, {"start": 2333.69, "end": 2334.07, "word": " 0", "probability": 0.8603515625}, {"start": 2334.07, "end": 2334.55, "word": " أو", "probability": 0.9375}, {"start": 2334.55, "end": 2334.97, "word": " a", "probability": 0.923828125}, {"start": 2334.97, "end": 2335.41, "word": " أصغر", "probability": 0.9385986328125}, {"start": 2335.41, "end": 2335.57, "word": " من", "probability": 0.98486328125}, {"start": 2335.57, "end": 2335.91, "word": " 0", "probability": 0.9091796875}, {"start": 2335.91, "end": 2336.67, "word": " في", "probability": 0.8359375}, {"start": 2336.67, "end": 2337.09, "word": " الحالة", "probability": 0.9853515625}, {"start": 2337.09, "end": 2337.89, "word": " الأولى", "probability": 0.99072265625}, {"start": 2337.89, "end": 2338.27, "word": " لو", "probability": 0.77099609375}, {"start": 2338.27, "end": 2338.61, "word": " كان", "probability": 0.98583984375}, {"start": 2338.61, "end": 2338.79, "word": " a", "probability": 0.98583984375}, {"start": 2338.79, "end": 2339.13, "word": " أكبر", "probability": 0.97802734375}, {"start": 2339.13, "end": 2339.31, "word": " من", "probability": 0.998046875}, {"start": 2339.31, "end": 2339.61, "word": " 0", "probability": 0.9775390625}, {"start": 2339.61, "end": 2339.99, "word": " بطلع", "probability": 0.916748046875}, {"start": 2339.99, "end": 2340.19, "word": " b", "probability": 0.88330078125}, {"start": 2340.19, "end": 2340.51, "word": " أكبر", "probability": 0.9886067708333334}, {"start": 2340.51, "end": 2340.73, "word": " من", "probability": 0.99755859375}, {"start": 2340.73, "end": 2341.01, "word": " 0", "probability": 0.9833984375}, {"start": 2341.01, "end": 2341.63, "word": " وبالتالي", "probability": 0.93974609375}, {"start": 2341.63, "end": 2341.89, "word": " a", "probability": 0.93798828125}, {"start": 2341.89, "end": 2342.15, "word": " وb", "probability": 0.739990234375}, {"start": 2342.15, "end": 2342.77, "word": " موجبين", "probability": 0.8934326171875}, {"start": 2342.77, "end": 2343.71, "word": " في", "probability": 0.8720703125}, {"start": 2343.71, "end": 2344.25, "word": " الاحتمال", "probability": 0.85699462890625}, {"start": 2344.25, "end": 2344.67, "word": " التاني", "probability": 0.8533528645833334}, {"start": 2344.67, "end": 2344.79, "word": " أو", "probability": 0.86279296875}, {"start": 2344.79, "end": 2345.17, "word": " الحالة", "probability": 0.9840494791666666}, {"start": 2345.17, "end": 2345.51, "word": " التانية", "probability": 0.9822591145833334}, {"start": 2345.51, "end": 2345.69, "word": " لو", "probability": 0.96044921875}, {"start": 2345.69, "end": 2345.97, "word": " كان", "probability": 0.99072265625}, {"start": 2345.97, "end": 2346.13, "word": " a", "probability": 0.97119140625}, {"start": 2346.13, "end": 2346.73, "word": " سالب", "probability": 0.8902994791666666}, {"start": 2346.73, "end": 2347.71, "word": " فشوفنا", "probability": 0.9884033203125}, {"start": 2347.71, "end": 2347.81, "word": " أن", "probability": 0.86572265625}, {"start": 2347.81, "end": 2348.23, "word": " بطلع", "probability": 0.884033203125}, {"start": 2348.23, "end": 2348.53, "word": " b", "probability": 0.90966796875}, {"start": 2348.53, "end": 2349.17, "word": " سالب", "probability": 0.9816080729166666}], "temperature": 1.0}, {"id": 88, "seek": 237608, "start": 2349.76, "end": 2376.08, "text": "و بالتالي اتنين سالبين okay تمام نشوف الان Bernoulli inequality اليوم هناخد برهان by induction برضه مبادئ الرياضيات خلنا برهان by contradiction و direct proof", "tokens": [2407, 20666, 2655, 6027, 1829, 1975, 2655, 1863, 9957, 8608, 6027, 3555, 9957, 1392, 46811, 10943, 8717, 8592, 38688, 2423, 7649, 10781, 263, 16320, 16970, 45595, 20498, 8032, 1863, 47283, 3215, 4724, 2288, 3224, 7649, 538, 33371, 4724, 43042, 3224, 3714, 3555, 18513, 19986, 2423, 16572, 46958, 1829, 9307, 16490, 1211, 8315, 4724, 2288, 3224, 7649, 538, 34937, 4032, 2047, 8177], "avg_logprob": -0.21572581318116957, "compression_ratio": 1.3975903614457832, "no_speech_prob": 0.0, "words": [{"start": 2349.76, "end": 2349.94, "word": "و", "probability": 0.485595703125}, {"start": 2349.94, "end": 2350.5, "word": " بالتالي", "probability": 0.8519287109375}, {"start": 2350.5, "end": 2350.94, "word": " اتنين", "probability": 0.84716796875}, {"start": 2350.94, "end": 2351.8, "word": " سالبين", "probability": 0.6903076171875}, {"start": 2351.8, "end": 2352.46, "word": " okay", "probability": 0.168701171875}, {"start": 2352.46, "end": 2353.24, "word": " تمام", "probability": 0.925537109375}, {"start": 2353.24, "end": 2358.48, "word": " نشوف", "probability": 0.9026692708333334}, {"start": 2358.48, "end": 2358.92, "word": " الان", "probability": 0.7218017578125}, {"start": 2358.92, "end": 2359.88, "word": " Bernoulli", "probability": 0.7935384114583334}, {"start": 2359.88, "end": 2360.58, "word": " inequality", "probability": 0.849609375}, {"start": 2360.58, "end": 2367.24, "word": " اليوم", "probability": 0.8125}, {"start": 2367.24, "end": 2367.76, "word": " هناخد", "probability": 0.8782958984375}, {"start": 2367.76, "end": 2368.26, "word": " برهان", "probability": 0.9615478515625}, {"start": 2368.26, "end": 2368.62, "word": " by", "probability": 0.74072265625}, {"start": 2368.62, "end": 2369.3, "word": " induction", "probability": 0.978515625}, {"start": 2369.3, "end": 2370.66, "word": " برضه", "probability": 0.92041015625}, {"start": 2370.66, "end": 2371.1, "word": " مبادئ", "probability": 0.9677734375}, {"start": 2371.1, "end": 2371.88, "word": " الرياضيات", "probability": 0.9509765625}, {"start": 2371.88, "end": 2372.62, "word": " خلنا", "probability": 0.6412760416666666}, {"start": 2372.62, "end": 2372.98, "word": " برهان", "probability": 0.9901123046875}, {"start": 2372.98, "end": 2373.14, "word": " by", "probability": 0.95556640625}, {"start": 2373.14, "end": 2373.84, "word": " contradiction", "probability": 0.90478515625}, {"start": 2373.84, "end": 2374.42, "word": " و", "probability": 0.8671875}, {"start": 2374.42, "end": 2375.56, "word": " direct", "probability": 0.712890625}, {"start": 2375.56, "end": 2376.08, "word": " proof", "probability": 0.92236328125}], "temperature": 1.0}, {"id": 89, "seek": 240386, "start": 2377.76, "end": 2403.86, "text": "وهنشوف move by induction نمسح اللوح بيرنول ال equality زي ما قلنا لو كان x عدد حقيقي أكبر من سالب واحد فلمّا أضيف عليه واحد وارفع لقوة n هذا بيطلع أكبر من أو سالب واحد زائد n في x وهذا صحيح لكل الأعداد الطبيعية", "tokens": [2407, 3224, 1863, 8592, 38688, 1286, 538, 33371, 8717, 2304, 3794, 5016, 13672, 2407, 5016, 4724, 13546, 1863, 12610, 2423, 14949, 30767, 1829, 19446, 12174, 1211, 8315, 45164, 25961, 2031, 6225, 3215, 3215, 11331, 38436, 38436, 5551, 4117, 26890, 9154, 8608, 6027, 3555, 36764, 24401, 6156, 19528, 11703, 995, 5551, 11242, 33911, 47356, 36764, 24401, 4032, 9640, 5172, 3615, 5296, 4587, 2407, 3660, 297, 23758, 4724, 1829, 9566, 1211, 3615, 5551, 4117, 26890, 9154, 34051, 8608, 6027, 3555, 36764, 24401, 30767, 16373, 3215, 297, 8978, 2031, 37037, 15730, 20328, 5016, 1829, 5016, 5296, 28820, 16247, 22488, 18513, 41950, 21292, 3615, 10632], "avg_logprob": -0.22748162086103477, "compression_ratio": 1.627906976744186, "no_speech_prob": 0.0, "words": [{"start": 2377.7599999999998, "end": 2378.56, "word": "وهنشوف", "probability": 0.638037109375}, {"start": 2378.56, "end": 2379.36, "word": " move", "probability": 0.491455078125}, {"start": 2379.36, "end": 2379.78, "word": " by", "probability": 0.89892578125}, {"start": 2379.78, "end": 2380.56, "word": " induction", "probability": 0.9775390625}, {"start": 2380.56, "end": 2384.88, "word": " نمسح", "probability": 0.7698974609375}, {"start": 2384.88, "end": 2385.56, "word": " اللوح", "probability": 0.8419596354166666}, {"start": 2385.56, "end": 2389.3, "word": " بيرنول", "probability": 0.60308837890625}, {"start": 2389.3, "end": 2389.44, "word": " ال", "probability": 0.892578125}, {"start": 2389.44, "end": 2389.78, "word": " equality", "probability": 0.32666015625}, {"start": 2389.78, "end": 2390.02, "word": " زي", "probability": 0.80517578125}, {"start": 2390.02, "end": 2390.08, "word": " ما", "probability": 0.9619140625}, {"start": 2390.08, "end": 2390.36, "word": " قلنا", "probability": 0.9474283854166666}, {"start": 2390.36, "end": 2390.5, "word": " لو", "probability": 0.89306640625}, {"start": 2390.5, "end": 2390.78, "word": " كان", "probability": 0.94873046875}, {"start": 2390.78, "end": 2391.02, "word": " x", "probability": 0.55859375}, {"start": 2391.02, "end": 2391.42, "word": " عدد", "probability": 0.9830729166666666}, {"start": 2391.42, "end": 2391.92, "word": " حقيقي", "probability": 0.9697265625}, {"start": 2391.92, "end": 2392.24, "word": " أكبر", "probability": 0.8798828125}, {"start": 2392.24, "end": 2392.42, "word": " من", "probability": 0.9921875}, {"start": 2392.42, "end": 2392.78, "word": " سالب", "probability": 0.8121744791666666}, {"start": 2392.78, "end": 2393.22, "word": " واحد", "probability": 0.970703125}, {"start": 2393.22, "end": 2394.2, "word": " فلمّا", "probability": 0.7816162109375}, {"start": 2394.2, "end": 2394.5, "word": " أضيف", "probability": 0.9059244791666666}, {"start": 2394.5, "end": 2394.76, "word": " عليه", "probability": 0.9853515625}, {"start": 2394.76, "end": 2395.22, "word": " واحد", "probability": 0.96728515625}, {"start": 2395.22, "end": 2395.8, "word": " وارفع", "probability": 0.9383544921875}, {"start": 2395.8, "end": 2396.68, "word": " لقوة", "probability": 0.8992919921875}, {"start": 2396.68, "end": 2396.94, "word": " n", "probability": 0.62451171875}, {"start": 2396.94, "end": 2398.0, "word": " هذا", "probability": 0.7568359375}, {"start": 2398.0, "end": 2398.4, "word": " بيطلع", "probability": 0.82734375}, {"start": 2398.4, "end": 2398.8, "word": " أكبر", "probability": 0.9345703125}, {"start": 2398.8, "end": 2398.94, "word": " من", "probability": 0.98876953125}, {"start": 2398.94, "end": 2399.12, "word": " أو", "probability": 0.90771484375}, {"start": 2399.12, "end": 2399.52, "word": " سالب", "probability": 0.5885416666666666}, {"start": 2399.52, "end": 2399.96, "word": " واحد", "probability": 0.9853515625}, {"start": 2399.96, "end": 2400.4, "word": " زائد", "probability": 0.7023111979166666}, {"start": 2400.4, "end": 2400.68, "word": " n", "probability": 0.69482421875}, {"start": 2400.68, "end": 2400.84, "word": " في", "probability": 0.9453125}, {"start": 2400.84, "end": 2401.16, "word": " x", "probability": 0.8310546875}, {"start": 2401.16, "end": 2401.96, "word": " وهذا", "probability": 0.8896484375}, {"start": 2401.96, "end": 2402.38, "word": " صحيح", "probability": 0.995849609375}, {"start": 2402.38, "end": 2402.78, "word": " لكل", "probability": 0.97900390625}, {"start": 2402.78, "end": 2403.28, "word": " الأعداد", "probability": 0.880859375}, {"start": 2403.28, "end": 2403.86, "word": " الطبيعية", "probability": 0.959716796875}], "temperature": 1.0}, {"id": 90, "seek": 242781, "start": 2405.07, "end": 2427.81, "text": "البرغم by induction لو كانت n بساوي واحد بثبت صحة العبارة عند n بساوي واحد لأن ان تبدأ من واحد فلو كان n بساوي واحد فالطرف الشمال بطلع واحد زاد x صح؟", "tokens": [6027, 26890, 17082, 2304, 538, 33371, 45164, 25961, 2655, 297, 4724, 3794, 995, 45865, 36764, 24401, 4724, 12984, 3555, 2655, 20328, 5016, 3660, 18863, 3555, 9640, 3660, 43242, 297, 4724, 3794, 995, 45865, 36764, 24401, 5296, 33456, 16472, 6055, 44510, 10721, 9154, 36764, 24401, 6156, 1211, 2407, 25961, 297, 4724, 3794, 995, 45865, 36764, 24401, 6156, 6027, 9566, 28480, 25124, 2304, 6027, 4724, 9566, 1211, 3615, 36764, 24401, 30767, 18513, 2031, 20328, 5016, 22807], "avg_logprob": -0.20197917262713114, "compression_ratio": 1.68, "no_speech_prob": 0.0, "words": [{"start": 2405.07, "end": 2405.65, "word": "البرغم", "probability": 0.697021484375}, {"start": 2405.65, "end": 2405.89, "word": " by", "probability": 0.5244140625}, {"start": 2405.89, "end": 2406.39, "word": " induction", "probability": 0.974609375}, {"start": 2406.39, "end": 2406.75, "word": " لو", "probability": 0.60009765625}, {"start": 2406.75, "end": 2407.15, "word": " كانت", "probability": 0.767578125}, {"start": 2407.15, "end": 2407.29, "word": " n", "probability": 0.53515625}, {"start": 2407.29, "end": 2407.77, "word": " بساوي", "probability": 0.5589599609375}, {"start": 2407.77, "end": 2408.29, "word": " واحد", "probability": 0.911376953125}, {"start": 2408.29, "end": 2408.83, "word": " بثبت", "probability": 0.76519775390625}, {"start": 2408.83, "end": 2409.25, "word": " صحة", "probability": 0.9339192708333334}, {"start": 2409.25, "end": 2409.77, "word": " العبارة", "probability": 0.91796875}, {"start": 2409.77, "end": 2409.99, "word": " عند", "probability": 0.75537109375}, {"start": 2409.99, "end": 2410.13, "word": " n", "probability": 0.84619140625}, {"start": 2410.13, "end": 2410.53, "word": " بساوي", "probability": 0.9495849609375}, {"start": 2410.53, "end": 2410.93, "word": " واحد", "probability": 0.97412109375}, {"start": 2410.93, "end": 2412.69, "word": " لأن", "probability": 0.793701171875}, {"start": 2412.69, "end": 2412.97, "word": " ان", "probability": 0.242919921875}, {"start": 2412.97, "end": 2413.45, "word": " تبدأ", "probability": 0.93310546875}, {"start": 2413.45, "end": 2413.59, "word": " من", "probability": 0.98779296875}, {"start": 2413.59, "end": 2413.97, "word": " واحد", "probability": 0.9794921875}, {"start": 2413.97, "end": 2416.01, "word": " فلو", "probability": 0.9562174479166666}, {"start": 2416.01, "end": 2416.21, "word": " كان", "probability": 0.9833984375}, {"start": 2416.21, "end": 2416.37, "word": " n", "probability": 0.71630859375}, {"start": 2416.37, "end": 2416.77, "word": " بساوي", "probability": 0.9715576171875}, {"start": 2416.77, "end": 2417.27, "word": " واحد", "probability": 0.9951171875}, {"start": 2417.27, "end": 2420.35, "word": " فالطرف", "probability": 0.9461669921875}, {"start": 2420.35, "end": 2423.53, "word": " الشمال", "probability": 0.9646809895833334}, {"start": 2423.53, "end": 2425.75, "word": " بطلع", "probability": 0.82958984375}, {"start": 2425.75, "end": 2426.41, "word": " واحد", "probability": 0.771728515625}, {"start": 2426.41, "end": 2426.89, "word": " زاد", "probability": 0.903564453125}, {"start": 2426.89, "end": 2427.23, "word": " x", "probability": 0.398681640625}, {"start": 2427.23, "end": 2427.81, "word": " صح؟", "probability": 0.9217122395833334}], "temperature": 1.0}, {"id": 91, "seek": 245819, "start": 2428.68, "end": 2458.2, "text": "الطرف الشمال واحد زائد X والطرف اليمين برضه واحد زائد X فبطلع مساواة وطبعا المساواة بقدر بدلها بأكبر من أوسعه مافي مشكلة تمام؟ إذا العبارة هذه صحيحة عند N بالساوي واحد الآن نفرض أن العبارة صحيحة عند N بالساوي K حيث K أكبر من واحد", "tokens": [6027, 9566, 28480, 25124, 2304, 6027, 36764, 24401, 30767, 16373, 3215, 1783, 16070, 9566, 28480, 2423, 32640, 9957, 4724, 43042, 3224, 36764, 24401, 30767, 16373, 3215, 1783, 6156, 3555, 9566, 1211, 3615, 47524, 995, 14407, 3660, 4032, 9566, 3555, 3615, 995, 9673, 3794, 995, 14407, 3660, 4724, 28543, 2288, 47525, 1211, 11296, 4724, 10721, 4117, 26890, 9154, 34051, 3794, 3615, 3224, 19446, 41185, 37893, 28820, 3660, 46811, 10943, 22807, 11933, 15730, 18863, 3555, 9640, 3660, 29538, 20328, 5016, 1829, 5016, 3660, 43242, 426, 20666, 3794, 995, 45865, 36764, 24401, 6024, 48506, 8717, 5172, 43042, 14739, 18863, 3555, 9640, 3660, 20328, 5016, 1829, 5016, 3660, 43242, 426, 20666, 3794, 995, 45865, 591, 11331, 1829, 12984, 591, 5551, 4117, 26890, 9154, 36764, 24401], "avg_logprob": -0.19480020052096883, "compression_ratio": 2.050251256281407, "no_speech_prob": 0.0, "words": [{"start": 2428.68, "end": 2429.2, "word": "الطرف", "probability": 0.8619791666666666}, {"start": 2429.2, "end": 2429.7, "word": " الشمال", "probability": 0.93017578125}, {"start": 2429.7, "end": 2430.06, "word": " واحد", "probability": 0.57568359375}, {"start": 2430.06, "end": 2430.46, "word": " زائد", "probability": 0.7661946614583334}, {"start": 2430.46, "end": 2430.78, "word": " X", "probability": 0.6123046875}, {"start": 2430.78, "end": 2431.9, "word": " والطرف", "probability": 0.7847493489583334}, {"start": 2431.9, "end": 2432.46, "word": " اليمين", "probability": 0.8304036458333334}, {"start": 2432.46, "end": 2432.98, "word": " برضه", "probability": 0.776611328125}, {"start": 2432.98, "end": 2433.68, "word": " واحد", "probability": 0.987548828125}, {"start": 2433.68, "end": 2434.18, "word": " زائد", "probability": 0.9140625}, {"start": 2434.18, "end": 2434.46, "word": " X", "probability": 0.98828125}, {"start": 2434.46, "end": 2434.98, "word": " فبطلع", "probability": 0.87373046875}, {"start": 2434.98, "end": 2436.32, "word": " مساواة", "probability": 0.9169921875}, {"start": 2436.32, "end": 2437.24, "word": " وطبعا", "probability": 0.88076171875}, {"start": 2437.24, "end": 2438.16, "word": " المساواة", "probability": 0.9619140625}, {"start": 2438.16, "end": 2439.4, "word": " بقدر", "probability": 0.7200520833333334}, {"start": 2439.4, "end": 2440.12, "word": " بدلها", "probability": 0.64935302734375}, {"start": 2440.12, "end": 2440.6, "word": " بأكبر", "probability": 0.8297119140625}, {"start": 2440.6, "end": 2440.8, "word": " من", "probability": 0.9765625}, {"start": 2440.8, "end": 2441.34, "word": " أوسعه", "probability": 0.64892578125}, {"start": 2441.34, "end": 2441.6, "word": " مافي", "probability": 0.782470703125}, {"start": 2441.6, "end": 2442.72, "word": " مشكلة", "probability": 0.9889322916666666}, {"start": 2442.72, "end": 2446.02, "word": " تمام؟", "probability": 0.6577962239583334}, {"start": 2446.02, "end": 2447.16, "word": " إذا", "probability": 0.691162109375}, {"start": 2447.16, "end": 2447.98, "word": " العبارة", "probability": 0.944580078125}, {"start": 2447.98, "end": 2448.3, "word": " هذه", "probability": 0.90283203125}, {"start": 2448.3, "end": 2449.06, "word": " صحيحة", "probability": 0.98681640625}, {"start": 2449.06, "end": 2449.42, "word": " عند", "probability": 0.9697265625}, {"start": 2449.42, "end": 2449.6, "word": " N", "probability": 0.474365234375}, {"start": 2449.6, "end": 2450.08, "word": " بالساوي", "probability": 0.75634765625}, {"start": 2450.08, "end": 2450.52, "word": " واحد", "probability": 0.93896484375}, {"start": 2450.52, "end": 2452.14, "word": " الآن", "probability": 0.6727294921875}, {"start": 2452.14, "end": 2452.7, "word": " نفرض", "probability": 0.97412109375}, {"start": 2452.7, "end": 2453.06, "word": " أن", "probability": 0.472412109375}, {"start": 2453.06, "end": 2454.66, "word": " العبارة", "probability": 0.944580078125}, {"start": 2454.66, "end": 2455.2, "word": " صحيحة", "probability": 0.94326171875}, {"start": 2455.2, "end": 2455.48, "word": " عند", "probability": 0.990234375}, {"start": 2455.48, "end": 2455.72, "word": " N", "probability": 0.955078125}, {"start": 2455.72, "end": 2456.32, "word": " بالساوي", "probability": 0.9818115234375}, {"start": 2456.32, "end": 2456.56, "word": " K", "probability": 0.91259765625}, {"start": 2456.56, "end": 2456.98, "word": " حيث", "probability": 0.97998046875}, {"start": 2456.98, "end": 2457.22, "word": " K", "probability": 0.765625}, {"start": 2457.22, "end": 2457.6, "word": " أكبر", "probability": 0.9501953125}, {"start": 2457.6, "end": 2457.78, "word": " من", "probability": 0.99462890625}, {"start": 2457.78, "end": 2458.2, "word": " واحد", "probability": 0.87548828125}], "temperature": 1.0}, {"id": 92, "seek": 247971, "start": 2459.02, "end": 2479.72, "text": "هذا ما نسميه induction hypothesis الفرض تبع ال induction نفرض صحة العبارة عند N بساوة K حيث K أكبر من 1 هذا معناه أن 1 زاد X to K bigger than or equal to 1 plus K X", "tokens": [3224, 15730, 19446, 8717, 38251, 1829, 3224, 33371, 17291, 27188, 43042, 6055, 3555, 3615, 2423, 33371, 8717, 5172, 43042, 20328, 5016, 3660, 18863, 3555, 9640, 3660, 43242, 426, 4724, 3794, 995, 2407, 3660, 591, 11331, 1829, 12984, 591, 5551, 4117, 26890, 9154, 502, 23758, 20449, 8315, 3224, 14739, 502, 30767, 18513, 1783, 281, 591, 3801, 813, 420, 2681, 281, 502, 1804, 591, 1783], "avg_logprob": -0.2941894456744194, "compression_ratio": 1.3103448275862069, "no_speech_prob": 0.0, "words": [{"start": 2459.02, "end": 2459.46, "word": "هذا", "probability": 0.5316162109375}, {"start": 2459.46, "end": 2459.58, "word": " ما", "probability": 0.5625}, {"start": 2459.58, "end": 2460.06, "word": " نسميه", "probability": 0.847412109375}, {"start": 2460.06, "end": 2460.6, "word": " induction", "probability": 0.457763671875}, {"start": 2460.6, "end": 2463.3, "word": " hypothesis", "probability": 0.89453125}, {"start": 2463.3, "end": 2465.26, "word": " الفرض", "probability": 0.515411376953125}, {"start": 2465.26, "end": 2465.68, "word": " تبع", "probability": 0.74951171875}, {"start": 2465.68, "end": 2465.8, "word": " ال", "probability": 0.86279296875}, {"start": 2465.8, "end": 2466.28, "word": " induction", "probability": 0.91015625}, {"start": 2466.28, "end": 2468.56, "word": " نفرض", "probability": 0.6842447916666666}, {"start": 2468.56, "end": 2469.02, "word": " صحة", "probability": 0.970703125}, {"start": 2469.02, "end": 2469.58, "word": " العبارة", "probability": 0.8616943359375}, {"start": 2469.58, "end": 2470.04, "word": " عند", "probability": 0.712890625}, {"start": 2470.04, "end": 2470.5, "word": " N", "probability": 0.41796875}, {"start": 2470.5, "end": 2471.04, "word": " بساوة", "probability": 0.76015625}, {"start": 2471.04, "end": 2471.3, "word": " K", "probability": 0.84228515625}, {"start": 2471.3, "end": 2472.38, "word": " حيث", "probability": 0.9181315104166666}, {"start": 2472.38, "end": 2472.74, "word": " K", "probability": 0.64501953125}, {"start": 2472.74, "end": 2473.24, "word": " أكبر", "probability": 0.9300130208333334}, {"start": 2473.24, "end": 2473.42, "word": " من", "probability": 0.98974609375}, {"start": 2473.42, "end": 2473.7, "word": " 1", "probability": 0.72900390625}, {"start": 2473.7, "end": 2473.94, "word": " هذا", "probability": 0.67236328125}, {"start": 2473.94, "end": 2474.56, "word": " معناه", "probability": 0.9619140625}, {"start": 2474.56, "end": 2475.42, "word": " أن", "probability": 0.425048828125}, {"start": 2475.42, "end": 2475.78, "word": " 1", "probability": 0.74462890625}, {"start": 2475.78, "end": 2476.22, "word": " زاد", "probability": 0.646484375}, {"start": 2476.22, "end": 2476.42, "word": " X", "probability": 0.7587890625}, {"start": 2476.42, "end": 2476.62, "word": " to", "probability": 0.51220703125}, {"start": 2476.62, "end": 2477.04, "word": " K", "probability": 0.97314453125}, {"start": 2477.04, "end": 2477.46, "word": " bigger", "probability": 0.640625}, {"start": 2477.46, "end": 2477.88, "word": " than", "probability": 0.955078125}, {"start": 2477.88, "end": 2478.08, "word": " or", "probability": 0.6943359375}, {"start": 2478.08, "end": 2478.32, "word": " equal", "probability": 0.8828125}, {"start": 2478.32, "end": 2478.54, "word": " to", "probability": 0.53125}, {"start": 2478.54, "end": 2478.74, "word": " 1", "probability": 0.7705078125}, {"start": 2478.74, "end": 2479.1, "word": " plus", "probability": 0.85400390625}, {"start": 2479.1, "end": 2479.38, "word": " K", "probability": 0.9404296875}, {"start": 2479.38, "end": 2479.72, "word": " X", "probability": 0.5205078125}], "temperature": 1.0}, {"id": 93, "seek": 250787, "start": 2481.03, "end": 2507.87, "text": "طيب الان نريد نكمل ال induction عايزين نثبت صحة العبارة واحد اللي هي هذه العبارة واحد مش عارف من الواحد رايح العبارة واحد هذه نثب الصحة عندنا بساوة K زياد واحد طيب from اتنين هذه العبارة اتنين اللي هي induction hypothesis", "tokens": [9566, 1829, 3555, 2423, 7649, 8717, 16572, 3215, 8717, 24793, 1211, 2423, 33371, 6225, 47302, 11622, 9957, 8717, 12984, 3555, 2655, 20328, 5016, 3660, 18863, 3555, 9640, 3660, 36764, 24401, 13672, 1829, 39896, 29538, 18863, 3555, 9640, 3660, 36764, 24401, 37893, 6225, 9640, 5172, 9154, 2423, 14407, 24401, 12602, 47302, 5016, 18863, 3555, 9640, 3660, 36764, 24401, 29538, 8717, 12984, 3555, 31767, 5016, 3660, 43242, 8315, 4724, 3794, 995, 2407, 3660, 591, 30767, 1829, 18513, 36764, 24401, 23032, 1829, 3555, 490, 1975, 2655, 1863, 9957, 29538, 18863, 3555, 9640, 3660, 1975, 2655, 1863, 9957, 13672, 1829, 39896, 33371, 17291], "avg_logprob": -0.20656250461935996, "compression_ratio": 1.9838709677419355, "no_speech_prob": 0.0, "words": [{"start": 2481.03, "end": 2481.87, "word": "طيب", "probability": 0.8008626302083334}, {"start": 2481.87, "end": 2482.91, "word": " الان", "probability": 0.54010009765625}, {"start": 2482.91, "end": 2483.45, "word": " نريد", "probability": 0.9710286458333334}, {"start": 2483.45, "end": 2483.97, "word": " نكمل", "probability": 0.97509765625}, {"start": 2483.97, "end": 2484.09, "word": " ال", "probability": 0.93798828125}, {"start": 2484.09, "end": 2484.51, "word": " induction", "probability": 0.98974609375}, {"start": 2484.51, "end": 2485.49, "word": " عايزين", "probability": 0.9276123046875}, {"start": 2485.49, "end": 2486.11, "word": " نثبت", "probability": 0.99169921875}, {"start": 2486.11, "end": 2487.07, "word": " صحة", "probability": 0.93798828125}, {"start": 2487.07, "end": 2487.65, "word": " العبارة", "probability": 0.80517578125}, {"start": 2487.65, "end": 2488.17, "word": " واحد", "probability": 0.8271484375}, {"start": 2488.17, "end": 2488.39, "word": " اللي", "probability": 0.814453125}, {"start": 2488.39, "end": 2488.63, "word": " هي", "probability": 0.765625}, {"start": 2488.63, "end": 2489.13, "word": " هذه", "probability": 0.7529296875}, {"start": 2489.13, "end": 2492.79, "word": " العبارة", "probability": 0.7884521484375}, {"start": 2492.79, "end": 2493.31, "word": " واحد", "probability": 0.970947265625}, {"start": 2493.31, "end": 2493.47, "word": " مش", "probability": 0.91455078125}, {"start": 2493.47, "end": 2493.75, "word": " عارف", "probability": 0.99560546875}, {"start": 2493.75, "end": 2493.89, "word": " من", "probability": 0.396484375}, {"start": 2493.89, "end": 2494.31, "word": " الواحد", "probability": 0.90625}, {"start": 2494.31, "end": 2494.81, "word": " رايح", "probability": 0.9189453125}, {"start": 2494.81, "end": 2496.97, "word": " العبارة", "probability": 0.9677734375}, {"start": 2496.97, "end": 2497.37, "word": " واحد", "probability": 0.990478515625}, {"start": 2497.37, "end": 2497.81, "word": " هذه", "probability": 0.611328125}, {"start": 2497.81, "end": 2498.73, "word": " نثب", "probability": 0.8504231770833334}, {"start": 2498.73, "end": 2499.19, "word": " الصحة", "probability": 0.8123372395833334}, {"start": 2499.19, "end": 2499.61, "word": " عندنا", "probability": 0.610107421875}, {"start": 2499.61, "end": 2500.09, "word": " بساوة", "probability": 0.71015625}, {"start": 2500.09, "end": 2500.29, "word": " K", "probability": 0.256103515625}, {"start": 2500.29, "end": 2500.59, "word": " زياد", "probability": 0.63916015625}, {"start": 2500.59, "end": 2500.91, "word": " واحد", "probability": 0.83740234375}, {"start": 2500.91, "end": 2502.51, "word": " طيب", "probability": 0.97509765625}, {"start": 2502.51, "end": 2504.67, "word": " from", "probability": 0.8408203125}, {"start": 2504.67, "end": 2505.31, "word": " اتنين", "probability": 0.80804443359375}, {"start": 2505.31, "end": 2505.65, "word": " هذه", "probability": 0.59033203125}, {"start": 2505.65, "end": 2506.17, "word": " العبارة", "probability": 0.9891357421875}, {"start": 2506.17, "end": 2506.51, "word": " اتنين", "probability": 0.984130859375}, {"start": 2506.51, "end": 2506.67, "word": " اللي", "probability": 0.97216796875}, {"start": 2506.67, "end": 2506.77, "word": " هي", "probability": 0.97705078125}, {"start": 2506.77, "end": 2507.29, "word": " induction", "probability": 0.86328125}, {"start": 2507.29, "end": 2507.87, "word": " hypothesis", "probability": 0.5576171875}], "temperature": 1.0}, {"id": 94, "seek": 253012, "start": 2512.04, "end": 2530.12, "text": "بتدفع في الـ type هاي العبارة هذه لما n ساوي k زائد واحد هصير واحد زائد x الكل أس k زائد واحد أكبر من أو ساوي واحد زائد k زائد واحد", "tokens": [3555, 2655, 3215, 5172, 3615, 8978, 2423, 39184, 2010, 8032, 47302, 18863, 3555, 9640, 3660, 29538, 5296, 15042, 297, 8608, 995, 45865, 350, 30767, 16373, 3215, 36764, 24401, 8032, 9381, 13546, 36764, 24401, 30767, 16373, 3215, 2031, 2423, 28820, 5551, 3794, 350, 30767, 16373, 3215, 36764, 24401, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 36764, 24401, 30767, 16373, 3215, 350, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.2693563432835821, "compression_ratio": 1.7421875, "no_speech_prob": 0.0, "words": [{"start": 2512.04, "end": 2512.8, "word": "بتدفع", "probability": 0.5794921875}, {"start": 2512.8, "end": 2512.9, "word": " في", "probability": 0.357421875}, {"start": 2512.9, "end": 2513.12, "word": " الـ", "probability": 0.408203125}, {"start": 2513.12, "end": 2513.32, "word": " type", "probability": 0.68896484375}, {"start": 2513.32, "end": 2515.5, "word": " هاي", "probability": 0.48291015625}, {"start": 2515.5, "end": 2517.08, "word": " العبارة", "probability": 0.84173583984375}, {"start": 2517.08, "end": 2517.58, "word": " هذه", "probability": 0.5986328125}, {"start": 2517.58, "end": 2518.34, "word": " لما", "probability": 0.9384765625}, {"start": 2518.34, "end": 2518.72, "word": " n", "probability": 0.6005859375}, {"start": 2518.72, "end": 2519.38, "word": " ساوي", "probability": 0.53167724609375}, {"start": 2519.38, "end": 2519.64, "word": " k", "probability": 0.68505859375}, {"start": 2519.64, "end": 2520.02, "word": " زائد", "probability": 0.7786458333333334}, {"start": 2520.02, "end": 2520.54, "word": " واحد", "probability": 0.8486328125}, {"start": 2520.54, "end": 2521.64, "word": " هصير", "probability": 0.8125}, {"start": 2521.64, "end": 2522.14, "word": " واحد", "probability": 0.96337890625}, {"start": 2522.14, "end": 2522.78, "word": " زائد", "probability": 0.9611002604166666}, {"start": 2522.78, "end": 2523.14, "word": " x", "probability": 0.85205078125}, {"start": 2523.14, "end": 2523.76, "word": " الكل", "probability": 0.698974609375}, {"start": 2523.76, "end": 2524.22, "word": " أس", "probability": 0.601318359375}, {"start": 2524.22, "end": 2524.7, "word": " k", "probability": 0.509765625}, {"start": 2524.7, "end": 2525.3, "word": " زائد", "probability": 0.9384765625}, {"start": 2525.3, "end": 2525.88, "word": " واحد", "probability": 0.986572265625}, {"start": 2525.88, "end": 2526.84, "word": " أكبر", "probability": 0.9464518229166666}, {"start": 2526.84, "end": 2527.04, "word": " من", "probability": 0.9765625}, {"start": 2527.04, "end": 2527.2, "word": " أو", "probability": 0.7412109375}, {"start": 2527.2, "end": 2527.6, "word": " ساوي", "probability": 0.9386393229166666}, {"start": 2527.6, "end": 2528.06, "word": " واحد", "probability": 0.969970703125}, {"start": 2528.06, "end": 2528.62, "word": " زائد", "probability": 0.9578450520833334}, {"start": 2528.62, "end": 2528.96, "word": " k", "probability": 0.93115234375}, {"start": 2528.96, "end": 2529.54, "word": " زائد", "probability": 0.9501953125}, {"start": 2529.54, "end": 2530.12, "word": " واحد", "probability": 0.99267578125}], "temperature": 1.0}, {"id": 95, "seek": 255871, "start": 2531.13, "end": 2558.71, "text": "في X هذه العبارة and N بساوي K زي 1 نبدأ بالطرف الشمال و نثبت أنه أكبر من أو يساوي الطرف اليمين هاي الطرف الشمال بقدر أجزئه حسب قوانين الأسس ل1 plus K to K و 1 زي X to K ضرب 1 زي X الآن من اتنين من العبارة التانية one plus X to K اللي هو induction hypothesis", "tokens": [41185, 1783, 29538, 18863, 3555, 9640, 3660, 293, 426, 4724, 3794, 995, 45865, 591, 30767, 1829, 502, 8717, 44510, 10721, 20666, 9566, 28480, 25124, 2304, 6027, 4032, 8717, 12984, 3555, 2655, 14739, 3224, 5551, 4117, 26890, 9154, 34051, 7251, 3794, 995, 45865, 41950, 28480, 2423, 32640, 9957, 8032, 47302, 41950, 28480, 25124, 2304, 6027, 4724, 28543, 2288, 5551, 7435, 11622, 19986, 3224, 11331, 35457, 12174, 2407, 7649, 9957, 16247, 3794, 3794, 5296, 16, 1804, 591, 281, 591, 4032, 502, 30767, 1829, 1783, 281, 591, 48812, 25513, 502, 30767, 1829, 1783, 6024, 48506, 9154, 1975, 2655, 1863, 9957, 9154, 18863, 3555, 9640, 3660, 16712, 7649, 10632, 472, 1804, 1783, 281, 591, 13672, 1829, 31439, 33371, 17291], "avg_logprob": -0.2155172343141046, "compression_ratio": 1.7046413502109705, "no_speech_prob": 0.0, "words": [{"start": 2531.13, "end": 2531.39, "word": "في", "probability": 0.042755126953125}, {"start": 2531.39, "end": 2531.75, "word": " X", "probability": 0.33837890625}, {"start": 2531.75, "end": 2532.41, "word": " هذه", "probability": 0.482421875}, {"start": 2532.41, "end": 2533.57, "word": " العبارة", "probability": 0.85723876953125}, {"start": 2533.57, "end": 2534.15, "word": " and", "probability": 0.65185546875}, {"start": 2534.15, "end": 2534.49, "word": " N", "probability": 0.286376953125}, {"start": 2534.49, "end": 2535.05, "word": " بساوي", "probability": 0.73211669921875}, {"start": 2535.05, "end": 2535.29, "word": " K", "probability": 0.66015625}, {"start": 2535.29, "end": 2535.49, "word": " زي", "probability": 0.712158203125}, {"start": 2535.49, "end": 2535.85, "word": " 1", "probability": 0.25537109375}, {"start": 2535.85, "end": 2537.01, "word": " نبدأ", "probability": 0.9127604166666666}, {"start": 2537.01, "end": 2537.43, "word": " بالطرف", "probability": 0.9544270833333334}, {"start": 2537.43, "end": 2538.03, "word": " الشمال", "probability": 0.9845377604166666}, {"start": 2538.03, "end": 2538.39, "word": " و", "probability": 0.955078125}, {"start": 2538.39, "end": 2538.85, "word": " نثبت", "probability": 0.888427734375}, {"start": 2538.85, "end": 2539.09, "word": " أنه", "probability": 0.6976318359375}, {"start": 2539.09, "end": 2539.49, "word": " أكبر", "probability": 0.9423828125}, {"start": 2539.49, "end": 2539.69, "word": " من", "probability": 0.98291015625}, {"start": 2539.69, "end": 2539.89, "word": " أو", "probability": 0.962890625}, {"start": 2539.89, "end": 2540.47, "word": " يساوي", "probability": 0.947021484375}, {"start": 2540.47, "end": 2541.37, "word": " الطرف", "probability": 0.974609375}, {"start": 2541.37, "end": 2541.89, "word": " اليمين", "probability": 0.8984375}, {"start": 2541.89, "end": 2542.33, "word": " هاي", "probability": 0.552490234375}, {"start": 2542.33, "end": 2542.67, "word": " الطرف", "probability": 0.98486328125}, {"start": 2542.67, "end": 2543.23, "word": " الشمال", "probability": 0.9871419270833334}, {"start": 2543.23, "end": 2544.55, "word": " بقدر", "probability": 0.8369140625}, {"start": 2544.55, "end": 2545.11, "word": " أجزئه", "probability": 0.81015625}, {"start": 2545.11, "end": 2545.41, "word": " حسب", "probability": 0.984375}, {"start": 2545.41, "end": 2545.83, "word": " قوانين", "probability": 0.981201171875}, {"start": 2545.83, "end": 2546.29, "word": " الأسس", "probability": 0.7662760416666666}, {"start": 2546.29, "end": 2546.73, "word": " ل1", "probability": 0.533203125}, {"start": 2546.73, "end": 2547.09, "word": " plus", "probability": 0.38037109375}, {"start": 2547.09, "end": 2547.39, "word": " K", "probability": 0.80859375}, {"start": 2547.39, "end": 2547.63, "word": " to", "probability": 0.87158203125}, {"start": 2547.63, "end": 2547.95, "word": " K", "probability": 0.97705078125}, {"start": 2547.95, "end": 2548.39, "word": " و", "probability": 0.4853515625}, {"start": 2548.39, "end": 2548.67, "word": " 1", "probability": 0.83154296875}, {"start": 2548.67, "end": 2548.85, "word": " زي", "probability": 0.944580078125}, {"start": 2548.85, "end": 2549.09, "word": " X", "probability": 0.93115234375}, {"start": 2549.09, "end": 2549.27, "word": " to", "probability": 0.8505859375}, {"start": 2549.27, "end": 2549.51, "word": " K", "probability": 0.98388671875}, {"start": 2549.51, "end": 2549.87, "word": " ضرب", "probability": 0.891357421875}, {"start": 2549.87, "end": 2550.07, "word": " 1", "probability": 0.9189453125}, {"start": 2550.07, "end": 2550.29, "word": " زي", "probability": 0.961181640625}, {"start": 2550.29, "end": 2550.67, "word": " X", "probability": 0.98486328125}, {"start": 2550.67, "end": 2552.41, "word": " الآن", "probability": 0.67138671875}, {"start": 2552.41, "end": 2552.67, "word": " من", "probability": 0.9931640625}, {"start": 2552.67, "end": 2553.27, "word": " اتنين", "probability": 0.8988037109375}, {"start": 2553.27, "end": 2553.89, "word": " من", "probability": 0.83544921875}, {"start": 2553.89, "end": 2554.41, "word": " العبارة", "probability": 0.9969482421875}, {"start": 2554.41, "end": 2554.97, "word": " التانية", "probability": 0.9855143229166666}, {"start": 2554.97, "end": 2556.03, "word": " one", "probability": 0.353759765625}, {"start": 2556.03, "end": 2556.45, "word": " plus", "probability": 0.94921875}, {"start": 2556.45, "end": 2556.83, "word": " X", "probability": 0.966796875}, {"start": 2556.83, "end": 2557.09, "word": " to", "probability": 0.970703125}, {"start": 2557.09, "end": 2557.35, "word": " K", "probability": 0.98193359375}, {"start": 2557.35, "end": 2557.55, "word": " اللي", "probability": 0.951416015625}, {"start": 2557.55, "end": 2557.63, "word": " هو", "probability": 0.82568359375}, {"start": 2557.63, "end": 2558.07, "word": " induction", "probability": 0.9140625}, {"start": 2558.07, "end": 2558.71, "word": " hypothesis", "probability": 0.8408203125}], "temperature": 1.0}, {"id": 96, "seek": 258569, "start": 2559.78, "end": 2585.7, "text": "حسب اتنين هذا اكبر من او يساوي واحد زياد ك اكس مضروب في واحد زياد اكس بنضرب هدول في بعض و بنرتب فبطلع حاصل الضرب هذا هو واحد زياد ك زياد واحد في اكس زياد ك في اكس تربيه الآن هذا هذا عدد موجب هذا عدد موجب", "tokens": [5016, 35457, 1975, 2655, 1863, 9957, 23758, 1975, 4117, 26890, 9154, 1975, 2407, 7251, 3794, 995, 45865, 36764, 24401, 30767, 1829, 18513, 9122, 1975, 4117, 3794, 3714, 11242, 32887, 3555, 8978, 36764, 24401, 30767, 1829, 18513, 1975, 4117, 3794, 44945, 11242, 25513, 8032, 3215, 12610, 8978, 45030, 11242, 4032, 44945, 43500, 3555, 6156, 3555, 9566, 1211, 3615, 11331, 33546, 1211, 6024, 114, 25513, 23758, 31439, 36764, 24401, 30767, 1829, 18513, 9122, 30767, 1829, 18513, 36764, 24401, 8978, 1975, 4117, 3794, 30767, 1829, 18513, 9122, 8978, 1975, 4117, 3794, 6055, 2288, 21292, 3224, 6024, 48506, 23758, 23758, 6225, 3215, 3215, 3714, 29245, 3555, 23758, 6225, 3215, 3215, 3714, 29245, 3555], "avg_logprob": -0.2098011393438686, "compression_ratio": 2.1686746987951806, "no_speech_prob": 0.0, "words": [{"start": 2559.78, "end": 2560.24, "word": "حسب", "probability": 0.7066650390625}, {"start": 2560.24, "end": 2560.72, "word": " اتنين", "probability": 0.81585693359375}, {"start": 2560.72, "end": 2561.1, "word": " هذا", "probability": 0.54345703125}, {"start": 2561.1, "end": 2561.66, "word": " اكبر", "probability": 0.9039713541666666}, {"start": 2561.66, "end": 2561.96, "word": " من", "probability": 0.96923828125}, {"start": 2561.96, "end": 2562.2, "word": " او", "probability": 0.899169921875}, {"start": 2562.2, "end": 2562.58, "word": " يساوي", "probability": 0.8394775390625}, {"start": 2562.58, "end": 2562.98, "word": " واحد", "probability": 0.945556640625}, {"start": 2562.98, "end": 2563.34, "word": " زياد", "probability": 0.71142578125}, {"start": 2563.34, "end": 2563.52, "word": " ك", "probability": 0.662109375}, {"start": 2563.52, "end": 2563.94, "word": " اكس", "probability": 0.6957600911458334}, {"start": 2563.94, "end": 2565.02, "word": " مضروب", "probability": 0.9044189453125}, {"start": 2565.02, "end": 2565.2, "word": " في", "probability": 0.93798828125}, {"start": 2565.2, "end": 2565.52, "word": " واحد", "probability": 0.983642578125}, {"start": 2565.52, "end": 2565.92, "word": " زياد", "probability": 0.9309895833333334}, {"start": 2565.92, "end": 2566.32, "word": " اكس", "probability": 0.9295247395833334}, {"start": 2566.32, "end": 2567.2, "word": " بنضرب", "probability": 0.7002360026041666}, {"start": 2567.2, "end": 2567.56, "word": " هدول", "probability": 0.876953125}, {"start": 2567.56, "end": 2567.76, "word": " في", "probability": 0.76806640625}, {"start": 2567.76, "end": 2568.12, "word": " بعض", "probability": 0.994873046875}, {"start": 2568.12, "end": 2568.22, "word": " و", "probability": 0.64794921875}, {"start": 2568.22, "end": 2568.92, "word": " بنرتب", "probability": 0.8839518229166666}, {"start": 2568.92, "end": 2569.6, "word": " فبطلع", "probability": 0.8908203125}, {"start": 2569.6, "end": 2571.48, "word": " حاصل", "probability": 0.8274739583333334}, {"start": 2571.48, "end": 2571.86, "word": " الضرب", "probability": 0.703125}, {"start": 2571.86, "end": 2572.1, "word": " هذا", "probability": 0.71044921875}, {"start": 2572.1, "end": 2572.52, "word": " هو", "probability": 0.214111328125}, {"start": 2572.52, "end": 2573.56, "word": " واحد", "probability": 0.958740234375}, {"start": 2573.56, "end": 2574.66, "word": " زياد", "probability": 0.9703776041666666}, {"start": 2574.66, "end": 2574.92, "word": " ك", "probability": 0.94873046875}, {"start": 2574.92, "end": 2575.44, "word": " زياد", "probability": 0.94677734375}, {"start": 2575.44, "end": 2575.82, "word": " واحد", "probability": 0.988037109375}, {"start": 2575.82, "end": 2575.98, "word": " في", "probability": 0.93408203125}, {"start": 2575.98, "end": 2576.26, "word": " اكس", "probability": 0.9305013020833334}, {"start": 2576.26, "end": 2576.6, "word": " زياد", "probability": 0.9850260416666666}, {"start": 2576.6, "end": 2577.0, "word": " ك", "probability": 0.91845703125}, {"start": 2577.0, "end": 2577.28, "word": " في", "probability": 0.93603515625}, {"start": 2577.28, "end": 2577.56, "word": " اكس", "probability": 0.9459635416666666}, {"start": 2577.56, "end": 2578.06, "word": " تربيه", "probability": 0.7110595703125}, {"start": 2578.06, "end": 2581.34, "word": " الآن", "probability": 0.666259765625}, {"start": 2581.34, "end": 2581.9, "word": " هذا", "probability": 0.900390625}, {"start": 2581.9, "end": 2583.54, "word": " هذا", "probability": 0.3203125}, {"start": 2583.54, "end": 2583.9, "word": " عدد", "probability": 0.9850260416666666}, {"start": 2583.9, "end": 2584.42, "word": " موجب", "probability": 0.9811197916666666}, {"start": 2584.42, "end": 2584.84, "word": " هذا", "probability": 0.63525390625}, {"start": 2584.84, "end": 2585.2, "word": " عدد", "probability": 0.99365234375}, {"start": 2585.2, "end": 2585.7, "word": " موجب", "probability": 0.9925130208333334}], "temperature": 1.0}, {"id": 97, "seek": 260758, "start": 2586.9, "end": 2607.58, "text": "لأن K عدد طبيعي و X تربيه عدد موجب لما أشيل هذا أشطبه فبصغر المقدار لما أشيل عدد موجب من عدد أو أنقص من عدد عدد موجب بصغر فبالتالي هذا أكبر من واحد زاد K زاد واحد في X", "tokens": [1211, 33456, 591, 6225, 3215, 3215, 23032, 21292, 3615, 1829, 4032, 1783, 6055, 2288, 21292, 3224, 6225, 3215, 3215, 3714, 29245, 3555, 5296, 15042, 5551, 8592, 26895, 23758, 5551, 8592, 9566, 3555, 3224, 6156, 3555, 9381, 17082, 2288, 9673, 28543, 9640, 5296, 15042, 5551, 8592, 26895, 6225, 3215, 3215, 3714, 29245, 3555, 9154, 6225, 3215, 3215, 34051, 5551, 1863, 4587, 9381, 9154, 6225, 3215, 3215, 6225, 3215, 3215, 3714, 29245, 3555, 4724, 9381, 17082, 2288, 6156, 3555, 6027, 2655, 6027, 1829, 23758, 5551, 4117, 26890, 9154, 36764, 24401, 30767, 18513, 591, 30767, 18513, 36764, 24401, 8978, 1783], "avg_logprob": -0.1362404358022067, "compression_ratio": 1.908496732026144, "no_speech_prob": 0.0, "words": [{"start": 2586.9, "end": 2587.32, "word": "لأن", "probability": 0.645751953125}, {"start": 2587.32, "end": 2587.56, "word": " K", "probability": 0.31787109375}, {"start": 2587.56, "end": 2587.92, "word": " عدد", "probability": 0.92822265625}, {"start": 2587.92, "end": 2588.46, "word": " طبيعي", "probability": 0.9527587890625}, {"start": 2588.46, "end": 2588.62, "word": " و", "probability": 0.81884765625}, {"start": 2588.62, "end": 2588.86, "word": " X", "probability": 0.8115234375}, {"start": 2588.86, "end": 2589.34, "word": " تربيه", "probability": 0.69873046875}, {"start": 2589.34, "end": 2589.6, "word": " عدد", "probability": 0.9861653645833334}, {"start": 2589.6, "end": 2590.02, "word": " موجب", "probability": 0.9806315104166666}, {"start": 2590.02, "end": 2591.58, "word": " لما", "probability": 0.658935546875}, {"start": 2591.58, "end": 2592.04, "word": " أشيل", "probability": 0.7845052083333334}, {"start": 2592.04, "end": 2592.38, "word": " هذا", "probability": 0.93359375}, {"start": 2592.38, "end": 2593.12, "word": " أشطبه", "probability": 0.8984375}, {"start": 2593.12, "end": 2595.44, "word": " فبصغر", "probability": 0.95166015625}, {"start": 2595.44, "end": 2596.06, "word": " المقدار", "probability": 0.97314453125}, {"start": 2596.06, "end": 2596.62, "word": " لما", "probability": 0.915771484375}, {"start": 2596.62, "end": 2596.9, "word": " أشيل", "probability": 0.9334309895833334}, {"start": 2596.9, "end": 2597.16, "word": " عدد", "probability": 0.9866536458333334}, {"start": 2597.16, "end": 2597.54, "word": " موجب", "probability": 0.9957682291666666}, {"start": 2597.54, "end": 2597.64, "word": " من", "probability": 0.99169921875}, {"start": 2597.64, "end": 2598.18, "word": " عدد", "probability": 0.98583984375}, {"start": 2598.18, "end": 2598.76, "word": " أو", "probability": 0.818359375}, {"start": 2598.76, "end": 2599.28, "word": " أنقص", "probability": 0.724365234375}, {"start": 2599.28, "end": 2599.38, "word": " من", "probability": 0.89990234375}, {"start": 2599.38, "end": 2599.76, "word": " عدد", "probability": 0.9934895833333334}, {"start": 2599.76, "end": 2600.08, "word": " عدد", "probability": 0.9890950520833334}, {"start": 2600.08, "end": 2600.58, "word": " موجب", "probability": 0.9943033854166666}, {"start": 2600.58, "end": 2601.46, "word": " بصغر", "probability": 0.876220703125}, {"start": 2601.46, "end": 2602.66, "word": " فبالتالي", "probability": 0.9720865885416666}, {"start": 2602.66, "end": 2603.06, "word": " هذا", "probability": 0.9365234375}, {"start": 2603.06, "end": 2603.98, "word": " أكبر", "probability": 0.8995768229166666}, {"start": 2603.98, "end": 2604.34, "word": " من", "probability": 0.98193359375}, {"start": 2604.34, "end": 2605.6, "word": " واحد", "probability": 0.669677734375}, {"start": 2605.6, "end": 2606.06, "word": " زاد", "probability": 0.7470703125}, {"start": 2606.06, "end": 2606.32, "word": " K", "probability": 0.5615234375}, {"start": 2606.32, "end": 2606.66, "word": " زاد", "probability": 0.890625}, {"start": 2606.66, "end": 2607.1, "word": " واحد", "probability": 0.985595703125}, {"start": 2607.1, "end": 2607.28, "word": " في", "probability": 0.92529296875}, {"start": 2607.28, "end": 2607.58, "word": " X", "probability": 0.97802734375}], "temperature": 1.0}, {"id": 98, "seek": 263683, "start": 2608.49, "end": 2636.83, "text": "وهذا هو الطرف اليمين للمتباينة 1 اللي احنا عايزين نثبت صحتها عند m بساوي k زيادة واحدة اذا this completes the induction هذا بيكمل البرهان بال induction مظبوط صح تمام واضح اذا هاي صار في ان متباينة Bernoulli زي ما قلنا لكم في في ال", "tokens": [2407, 3224, 15730, 31439, 41950, 28480, 2423, 32640, 9957, 5296, 19528, 2655, 3555, 995, 9957, 3660, 502, 13672, 1829, 1975, 5016, 8315, 6225, 47302, 11622, 9957, 8717, 12984, 3555, 2655, 20328, 5016, 2655, 11296, 43242, 275, 4724, 3794, 995, 45865, 350, 30767, 1829, 18513, 3660, 36764, 24401, 3660, 1975, 15730, 341, 36362, 264, 33371, 23758, 4724, 1829, 24793, 1211, 2423, 26890, 3224, 7649, 20666, 33371, 3714, 19913, 3555, 2407, 9566, 20328, 5016, 46811, 10943, 4032, 46958, 5016, 1975, 15730, 8032, 47302, 20328, 9640, 8978, 16472, 44650, 3555, 995, 9957, 3660, 10781, 263, 16320, 30767, 1829, 19446, 12174, 1211, 8315, 5296, 24793, 8978, 8978, 2423], "avg_logprob": -0.25327381633576895, "compression_ratio": 1.6299559471365639, "no_speech_prob": 0.0, "words": [{"start": 2608.49, "end": 2608.95, "word": "وهذا", "probability": 0.70849609375}, {"start": 2608.95, "end": 2609.25, "word": " هو", "probability": 0.89306640625}, {"start": 2609.25, "end": 2609.83, "word": " الطرف", "probability": 0.930419921875}, {"start": 2609.83, "end": 2610.43, "word": " اليمين", "probability": 0.8042805989583334}, {"start": 2610.43, "end": 2612.19, "word": " للمتباينة", "probability": 0.8916713169642857}, {"start": 2612.19, "end": 2612.47, "word": " 1", "probability": 0.391845703125}, {"start": 2612.47, "end": 2612.75, "word": " اللي", "probability": 0.669677734375}, {"start": 2612.75, "end": 2612.93, "word": " احنا", "probability": 0.8268229166666666}, {"start": 2612.93, "end": 2613.31, "word": " عايزين", "probability": 0.94677734375}, {"start": 2613.31, "end": 2613.61, "word": " نثبت", "probability": 0.9393310546875}, {"start": 2613.61, "end": 2614.17, "word": " صحتها", "probability": 0.82159423828125}, {"start": 2614.17, "end": 2614.47, "word": " عند", "probability": 0.8701171875}, {"start": 2614.47, "end": 2614.73, "word": " m", "probability": 0.29052734375}, {"start": 2614.73, "end": 2615.31, "word": " بساوي", "probability": 0.72528076171875}, {"start": 2615.31, "end": 2615.63, "word": " k", "probability": 0.64453125}, {"start": 2615.63, "end": 2615.99, "word": " زيادة", "probability": 0.66473388671875}, {"start": 2615.99, "end": 2616.57, "word": " واحدة", "probability": 0.8291015625}, {"start": 2616.57, "end": 2617.39, "word": " اذا", "probability": 0.57720947265625}, {"start": 2617.39, "end": 2618.05, "word": " this", "probability": 0.47216796875}, {"start": 2618.05, "end": 2618.73, "word": " completes", "probability": 0.94189453125}, {"start": 2618.73, "end": 2619.01, "word": " the", "probability": 0.444091796875}, {"start": 2619.01, "end": 2619.49, "word": " induction", "probability": 0.96923828125}, {"start": 2619.49, "end": 2620.51, "word": " هذا", "probability": 0.80322265625}, {"start": 2620.51, "end": 2621.19, "word": " بيكمل", "probability": 0.841552734375}, {"start": 2621.19, "end": 2622.59, "word": " البرهان", "probability": 0.8892822265625}, {"start": 2622.59, "end": 2622.83, "word": " بال", "probability": 0.9580078125}, {"start": 2622.83, "end": 2623.33, "word": " induction", "probability": 0.9462890625}, {"start": 2623.33, "end": 2624.19, "word": " مظبوط", "probability": 0.756103515625}, {"start": 2624.19, "end": 2625.11, "word": " صح", "probability": 0.7213134765625}, {"start": 2625.11, "end": 2626.21, "word": " تمام", "probability": 0.840087890625}, {"start": 2626.21, "end": 2627.57, "word": " واضح", "probability": 0.9684244791666666}, {"start": 2627.57, "end": 2629.19, "word": " اذا", "probability": 0.78955078125}, {"start": 2629.19, "end": 2629.39, "word": " هاي", "probability": 0.4908447265625}, {"start": 2629.39, "end": 2629.65, "word": " صار", "probability": 0.8681640625}, {"start": 2629.65, "end": 2629.79, "word": " في", "probability": 0.9501953125}, {"start": 2629.79, "end": 2630.05, "word": " ان", "probability": 0.272216796875}, {"start": 2630.05, "end": 2634.17, "word": " متباينة", "probability": 0.88779296875}, {"start": 2634.17, "end": 2634.77, "word": " Bernoulli", "probability": 0.85009765625}, {"start": 2634.77, "end": 2635.05, "word": " زي", "probability": 0.947998046875}, {"start": 2635.05, "end": 2635.15, "word": " ما", "probability": 0.96533203125}, {"start": 2635.15, "end": 2635.45, "word": " قلنا", "probability": 0.87255859375}, {"start": 2635.45, "end": 2635.75, "word": " لكم", "probability": 0.7607421875}, {"start": 2635.75, "end": 2636.15, "word": " في", "probability": 0.96923828125}, {"start": 2636.15, "end": 2636.51, "word": " في", "probability": 0.8564453125}, {"start": 2636.51, "end": 2636.83, "word": " ال", "probability": 0.91796875}], "temperature": 1.0}, {"id": 99, "seek": 266650, "start": 2638.44, "end": 2666.5, "text": "في ال section هذا بعض المتباينات الأخرى فبإمكانكم تقرؤوها ال homework الآن خلصنا احنا section اتنين واحد اعتقد فالمسائل المطلوب انكم تحلوها اللي هي موجودة مرسوصة هنا وبرضه زي ما قلتلكم في syllabus موجود على الصفحه تبعتي", "tokens": [41185, 2423, 3541, 23758, 45030, 11242, 9673, 2655, 3555, 995, 9957, 9307, 16247, 34740, 7578, 6156, 3555, 28814, 2304, 41361, 24793, 6055, 4587, 2288, 33604, 2407, 11296, 2423, 14578, 6024, 48506, 16490, 1211, 9381, 8315, 1975, 5016, 8315, 3541, 1975, 2655, 1863, 9957, 36764, 24401, 1975, 34268, 28543, 6156, 45340, 3794, 16373, 1211, 9673, 9566, 1211, 37746, 16472, 24793, 6055, 5016, 1211, 2407, 11296, 13672, 1829, 39896, 3714, 29245, 23328, 3660, 3714, 2288, 3794, 2407, 9381, 3660, 34105, 4032, 26890, 11242, 3224, 30767, 1829, 19446, 12174, 1211, 2655, 23275, 2304, 8978, 48077, 3714, 29245, 23328, 15844, 31767, 5172, 5016, 3224, 6055, 3555, 3615, 31371], "avg_logprob": -0.15074405443100702, "compression_ratio": 1.631578947368421, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2638.44, "end": 2638.64, "word": "في", "probability": 0.82080078125}, {"start": 2638.64, "end": 2638.84, "word": " ال", "probability": 0.87060546875}, {"start": 2638.84, "end": 2639.36, "word": " section", "probability": 0.6025390625}, {"start": 2639.36, "end": 2641.08, "word": " هذا", "probability": 0.33740234375}, {"start": 2641.08, "end": 2641.56, "word": " بعض", "probability": 0.771484375}, {"start": 2641.56, "end": 2642.36, "word": " المتباينات", "probability": 0.8826497395833334}, {"start": 2642.36, "end": 2644.1, "word": " الأخرى", "probability": 0.9728190104166666}, {"start": 2644.1, "end": 2645.48, "word": " فبإمكانكم", "probability": 0.8863118489583334}, {"start": 2645.48, "end": 2646.78, "word": " تقرؤوها", "probability": 0.9302571614583334}, {"start": 2646.78, "end": 2648.24, "word": " ال", "probability": 0.96337890625}, {"start": 2648.24, "end": 2649.02, "word": " homework", "probability": 0.6083984375}, {"start": 2649.02, "end": 2649.6, "word": " الآن", "probability": 0.6138916015625}, {"start": 2649.6, "end": 2650.14, "word": " خلصنا", "probability": 0.9893798828125}, {"start": 2650.14, "end": 2650.36, "word": " احنا", "probability": 0.9378255208333334}, {"start": 2650.36, "end": 2650.78, "word": " section", "probability": 0.8212890625}, {"start": 2650.78, "end": 2651.14, "word": " اتنين", "probability": 0.79766845703125}, {"start": 2651.14, "end": 2651.66, "word": " واحد", "probability": 0.956298828125}, {"start": 2651.66, "end": 2652.26, "word": " اعتقد", "probability": 0.92333984375}, {"start": 2652.26, "end": 2654.8, "word": " فالمسائل", "probability": 0.89873046875}, {"start": 2654.8, "end": 2655.38, "word": " المطلوب", "probability": 0.979736328125}, {"start": 2655.38, "end": 2655.7, "word": " انكم", "probability": 0.85205078125}, {"start": 2655.7, "end": 2656.64, "word": " تحلوها", "probability": 0.9298828125}, {"start": 2656.64, "end": 2658.54, "word": " اللي", "probability": 0.873779296875}, {"start": 2658.54, "end": 2658.76, "word": " هي", "probability": 0.490234375}, {"start": 2658.76, "end": 2659.44, "word": " موجودة", "probability": 0.97998046875}, {"start": 2659.44, "end": 2660.04, "word": " مرسوصة", "probability": 0.8048502604166666}, {"start": 2660.04, "end": 2660.24, "word": " هنا", "probability": 0.9912109375}, {"start": 2660.24, "end": 2663.28, "word": " وبرضه", "probability": 0.8065185546875}, {"start": 2663.28, "end": 2663.44, "word": " زي", "probability": 0.890869140625}, {"start": 2663.44, "end": 2663.52, "word": " ما", "probability": 0.97314453125}, {"start": 2663.52, "end": 2664.02, "word": " قلتلكم", "probability": 0.9439453125}, {"start": 2664.02, "end": 2664.22, "word": " في", "probability": 0.9404296875}, {"start": 2664.22, "end": 2664.66, "word": " syllabus", "probability": 0.433349609375}, {"start": 2664.66, "end": 2665.38, "word": " موجود", "probability": 0.9720052083333334}, {"start": 2665.38, "end": 2665.54, "word": " على", "probability": 0.828125}, {"start": 2665.54, "end": 2665.94, "word": " الصفحه", "probability": 0.93408203125}, {"start": 2665.94, "end": 2666.5, "word": " تبعتي", "probability": 0.953125}], "temperature": 1.0}, {"id": 100, "seek": 269350, "start": 2667.94, "end": 2693.5, "text": "فبارضه في ال homework هذا موجود ل .. مش ل ال section هذا لكل ال .. المنهج اذا نبدأ نحل المسائل هذه و ان شاء الله لسبوع الجاي بنعمل مناقشة فانا هعمل مناقشة .. انا اللي هكون مناقشة لكم اليوم لأ مافيش مناقشة لأنه لسه احنا يعني ماخدناش material كافية", "tokens": [5172, 3555, 9640, 11242, 3224, 8978, 2423, 14578, 23758, 3714, 29245, 23328, 5296, 4386, 37893, 5296, 2423, 3541, 23758, 5296, 28820, 2423, 4386, 2423, 27842, 3224, 7435, 1975, 15730, 8717, 44510, 10721, 8717, 5016, 1211, 9673, 3794, 16373, 1211, 29538, 4032, 16472, 13412, 16606, 21984, 5296, 35457, 45367, 25724, 47302, 44945, 25957, 1211, 3714, 8315, 4587, 8592, 3660, 6156, 7649, 995, 8032, 25957, 1211, 3714, 8315, 4587, 8592, 3660, 4386, 1975, 8315, 13672, 1829, 8032, 30544, 3714, 8315, 4587, 8592, 3660, 5296, 24793, 45595, 20498, 5296, 10721, 19446, 41185, 8592, 3714, 8315, 4587, 8592, 3660, 5296, 33456, 3224, 5296, 3794, 3224, 1975, 5016, 8315, 37495, 22653, 19446, 9778, 3215, 1863, 33599, 2527, 9122, 31845, 10632], "avg_logprob": -0.21686422413793102, "compression_ratio": 1.8, "no_speech_prob": 0.0, "words": [{"start": 2667.94, "end": 2668.62, "word": "فبارضه", "probability": 0.6480224609375}, {"start": 2668.62, "end": 2668.78, "word": " في", "probability": 0.79736328125}, {"start": 2668.78, "end": 2669.06, "word": " ال", "probability": 0.95263671875}, {"start": 2669.06, "end": 2669.46, "word": " homework", "probability": 0.6123046875}, {"start": 2669.46, "end": 2669.8, "word": " هذا", "probability": 0.712890625}, {"start": 2669.8, "end": 2670.5, "word": " موجود", "probability": 0.9807942708333334}, {"start": 2670.5, "end": 2672.18, "word": " ل", "probability": 0.418212890625}, {"start": 2672.18, "end": 2672.28, "word": " ..", "probability": 0.57080078125}, {"start": 2672.28, "end": 2672.48, "word": " مش", "probability": 0.849609375}, {"start": 2672.48, "end": 2672.62, "word": " ل", "probability": 0.6396484375}, {"start": 2672.62, "end": 2672.72, "word": " ال", "probability": 0.4609375}, {"start": 2672.72, "end": 2673.0, "word": " section", "probability": 0.93798828125}, {"start": 2673.0, "end": 2673.28, "word": " هذا", "probability": 0.80712890625}, {"start": 2673.28, "end": 2673.78, "word": " لكل", "probability": 0.80908203125}, {"start": 2673.78, "end": 2673.98, "word": " ال", "probability": 0.44482421875}, {"start": 2673.98, "end": 2673.98, "word": " ..", "probability": 0.5966796875}, {"start": 2673.98, "end": 2674.6, "word": " المنهج", "probability": 0.76751708984375}, {"start": 2674.6, "end": 2676.76, "word": " اذا", "probability": 0.6473388671875}, {"start": 2676.76, "end": 2677.48, "word": " نبدأ", "probability": 0.9586588541666666}, {"start": 2677.48, "end": 2677.78, "word": " نحل", "probability": 0.9933268229166666}, {"start": 2677.78, "end": 2678.4, "word": " المسائل", "probability": 0.91943359375}, {"start": 2678.4, "end": 2678.84, "word": " هذه", "probability": 0.89697265625}, {"start": 2678.84, "end": 2679.06, "word": " و", "probability": 0.990234375}, {"start": 2679.06, "end": 2679.14, "word": " ان", "probability": 0.73486328125}, {"start": 2679.14, "end": 2679.36, "word": " شاء", "probability": 0.989013671875}, {"start": 2679.36, "end": 2679.48, "word": " الله", "probability": 0.95947265625}, {"start": 2679.48, "end": 2679.92, "word": " لسبوع", "probability": 0.635009765625}, {"start": 2679.92, "end": 2680.6, "word": " الجاي", "probability": 0.70556640625}, {"start": 2680.6, "end": 2681.8, "word": " بنعمل", "probability": 0.9363606770833334}, {"start": 2681.8, "end": 2682.6, "word": " مناقشة", "probability": 0.93984375}, {"start": 2682.6, "end": 2684.18, "word": " فانا", "probability": 0.8115234375}, {"start": 2684.18, "end": 2684.62, "word": " هعمل", "probability": 0.9148763020833334}, {"start": 2684.62, "end": 2685.04, "word": " مناقشة", "probability": 0.86787109375}, {"start": 2685.04, "end": 2685.28, "word": " ..", "probability": 0.7529296875}, {"start": 2685.28, "end": 2685.46, "word": " انا", "probability": 0.93896484375}, {"start": 2685.46, "end": 2685.62, "word": " اللي", "probability": 0.8515625}, {"start": 2685.62, "end": 2685.96, "word": " هكون", "probability": 0.875}, {"start": 2685.96, "end": 2686.6, "word": " مناقشة", "probability": 0.7880859375}, {"start": 2686.6, "end": 2686.94, "word": " لكم", "probability": 0.861328125}, {"start": 2686.94, "end": 2689.04, "word": " اليوم", "probability": 0.87646484375}, {"start": 2689.04, "end": 2689.2, "word": " لأ", "probability": 0.6434326171875}, {"start": 2689.2, "end": 2689.5, "word": " مافيش", "probability": 0.9422200520833334}, {"start": 2689.5, "end": 2690.04, "word": " مناقشة", "probability": 0.96845703125}, {"start": 2690.04, "end": 2690.46, "word": " لأنه", "probability": 0.6646321614583334}, {"start": 2690.46, "end": 2690.72, "word": " لسه", "probability": 0.9405924479166666}, {"start": 2690.72, "end": 2691.0, "word": " احنا", "probability": 0.98193359375}, {"start": 2691.0, "end": 2691.26, "word": " يعني", "probability": 0.948486328125}, {"start": 2691.26, "end": 2692.46, "word": " ماخدناش", "probability": 0.859375}, {"start": 2692.46, "end": 2692.96, "word": " material", "probability": 0.9248046875}, {"start": 2692.96, "end": 2693.5, "word": " كافية", "probability": 0.9173177083333334}], "temperature": 1.0}, {"id": 101, "seek": 271293, "start": 2695.29, "end": 2712.93, "text": "او اللي لسه يعني مش مهيئين او مش محضرين فهنواصل ونحاول ان شاء الله أسبوع الجاى ناخد كل ساعة هذه الساعة الأخيرة هذه المتأخرة نعملها مناقشة", "tokens": [995, 2407, 13672, 1829, 5296, 3794, 3224, 37495, 22653, 37893, 3714, 3224, 1829, 19986, 9957, 1975, 2407, 37893, 3714, 5016, 11242, 2288, 9957, 6156, 3224, 1863, 2407, 33546, 1211, 4032, 1863, 5016, 995, 12610, 16472, 13412, 16606, 21984, 5551, 35457, 45367, 25724, 995, 7578, 8717, 47283, 3215, 28242, 8608, 995, 27884, 29538, 21136, 995, 27884, 16247, 9778, 48923, 29538, 9673, 2655, 10721, 34740, 3660, 8717, 25957, 1211, 11296, 3714, 8315, 4587, 8592, 3660], "avg_logprob": -0.13460726452034874, "compression_ratio": 1.6711409395973154, "no_speech_prob": 0.0, "words": [{"start": 2695.29, "end": 2695.71, "word": "او", "probability": 0.69580078125}, {"start": 2695.71, "end": 2696.01, "word": " اللي", "probability": 0.877197265625}, {"start": 2696.01, "end": 2696.39, "word": " لسه", "probability": 0.9737955729166666}, {"start": 2696.39, "end": 2696.69, "word": " يعني", "probability": 0.94287109375}, {"start": 2696.69, "end": 2696.95, "word": " مش", "probability": 0.97119140625}, {"start": 2696.95, "end": 2699.07, "word": " مهيئين", "probability": 0.87529296875}, {"start": 2699.07, "end": 2699.29, "word": " او", "probability": 0.9140625}, {"start": 2699.29, "end": 2699.47, "word": " مش", "probability": 0.9931640625}, {"start": 2699.47, "end": 2700.11, "word": " محضرين", "probability": 0.94375}, {"start": 2700.11, "end": 2702.21, "word": " فهنواصل", "probability": 0.880615234375}, {"start": 2702.21, "end": 2703.03, "word": " ونحاول", "probability": 0.91552734375}, {"start": 2703.03, "end": 2703.19, "word": " ان", "probability": 0.84619140625}, {"start": 2703.19, "end": 2703.47, "word": " شاء", "probability": 0.98876953125}, {"start": 2703.47, "end": 2703.73, "word": " الله", "probability": 0.966796875}, {"start": 2703.73, "end": 2704.91, "word": " أسبوع", "probability": 0.7938639322916666}, {"start": 2704.91, "end": 2705.23, "word": " الجاى", "probability": 0.5010579427083334}, {"start": 2705.23, "end": 2705.69, "word": " ناخد", "probability": 0.9900716145833334}, {"start": 2705.69, "end": 2706.17, "word": " كل", "probability": 0.98681640625}, {"start": 2706.17, "end": 2706.93, "word": " ساعة", "probability": 0.93994140625}, {"start": 2706.93, "end": 2707.39, "word": " هذه", "probability": 0.75439453125}, {"start": 2707.39, "end": 2710.45, "word": " الساعة", "probability": 0.9422200520833334}, {"start": 2710.45, "end": 2710.97, "word": " الأخيرة", "probability": 0.9417317708333334}, {"start": 2710.97, "end": 2711.21, "word": " هذه", "probability": 0.7392578125}, {"start": 2711.21, "end": 2711.91, "word": " المتأخرة", "probability": 0.8720703125}, {"start": 2711.91, "end": 2712.27, "word": " نعملها", "probability": 0.98193359375}, {"start": 2712.27, "end": 2712.93, "word": " مناقشة", "probability": 0.92509765625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2714.5985, "duration_after_vad": 2517.685624999991}
\ No newline at end of file