diff --git "a/PL9fwy3NUQKwZHPs6l8Fr-st-8cVJxmVek/aQ184E7DSME_raw.json" "b/PL9fwy3NUQKwZHPs6l8Fr-st-8cVJxmVek/aQ184E7DSME_raw.json"
new file mode 100644--- /dev/null
+++ "b/PL9fwy3NUQKwZHPs6l8Fr-st-8cVJxmVek/aQ184E7DSME_raw.json"
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4440, "start": 20.96, "end": 44.4, "text": "Okay إذا هنواصل ان شاء الله اللي بدنا في المحاضرة السادقة المرة اللي فاتت خلينا بسرعة بس هيك نمر على الحاجات اللي أخدناها أخدنا اللي هو ال algebraic properties of the real number system اللي هو القواصة الجبرية", "tokens": [8297, 11933, 15730, 8032, 1863, 2407, 33546, 1211, 16472, 13412, 16606, 21984, 13672, 1829, 47525, 8315, 8978, 9673, 5016, 46958, 25720, 21136, 18513, 28671, 9673, 25720, 13672, 1829, 6156, 9307, 2655, 16490, 1211, 9957, 995, 4724, 3794, 2288, 27884, 4724, 3794, 39896, 4117, 8717, 29973, 15844, 21542, 26108, 9307, 13672, 1829, 5551, 9778, 3215, 8315, 11296, 5551, 9778, 3215, 8315, 13672, 1829, 31439, 2423, 21989, 299, 7221, 295, 264, 957, 1230, 1185, 13672, 1829, 31439, 25062, 2407, 33546, 3660, 25724, 26890, 10632], "avg_logprob": -0.14664909638554216, "compression_ratio": 1.6280193236714975, "no_speech_prob": 0.0, "words": [{"start": 20.96, "end": 21.46, "word": "Okay", "probability": 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"word": " العناصر", "probability": 0.83984375}, {"start": 89.14, "end": 91.76, "word": " النظائر", "probability": 0.9478759765625}, {"start": 91.76, "end": 93.54, "word": " أو", "probability": 0.67138671875}, {"start": 93.54, "end": 94.46, "word": " المعكسات", "probability": 0.91298828125}, {"start": 94.46, "end": 97.46, "word": " فلكل", "probability": 0.8361002604166666}, {"start": 97.46, "end": 98.58, "word": " عدد", "probability": 0.9860026041666666}, {"start": 98.58, "end": 99.58, "word": " حقيقي", "probability": 0.9894205729166666}], "temperature": 1.0}, {"id": 4, "seek": 10543, "start": 100.69, "end": 105.43, "text": "فيه إله معكوس جمعي اللي هو Salvo", "tokens": [41185, 3224, 11933, 43761, 20449, 4117, 41779, 10874, 2304, 3615, 1829, 13672, 1829, 31439, 5996, 3080], "avg_logprob": -0.29940257352941174, "compression_ratio": 0.9464285714285714, "no_speech_prob": 0.0, "words": [{"start": 100.69, "end": 101.77, "word": "فيه", "probability": 0.66796875}, {"start": 101.77, "end": 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cancellation law يعني انا لو كان عندي x plus z بساوي y plus z فممكن اشطب z", "tokens": [6027, 25957, 20292, 9307, 32748, 25513, 16070, 7435, 10943, 3615, 13672, 1829, 6225, 28480, 8315, 11296, 8608, 16758, 4587, 995, 8978, 5551, 12610, 16490, 2407, 33546, 5551, 9778, 3215, 8315, 11296, 13672, 1829, 39896, 45867, 6064, 3714, 29245, 23328, 3660, 8978, 8717, 19913, 2288, 10632, 502, 502, 6156, 25957, 1211, 10632, 25724, 10943, 3615, 39894, 5016, 4587, 4587, 45867, 2101, 37495, 22653, 1975, 8315, 45164, 25961, 18871, 16254, 2031, 1804, 710, 4724, 3794, 995, 45865, 288, 1804, 710, 6156, 2304, 43020, 1975, 8592, 9566, 3555, 710], "avg_logprob": -0.16073994184362478, "compression_ratio": 1.6, "no_speech_prob": 0.0, "words": [{"start": 133.36, "end": 134.48, "word": "العمليات", "probability": 0.84375}, {"start": 134.48, "end": 135.0, "word": " الدرب", "probability": 0.75732421875}, {"start": 135.0, "end": 135.76, "word": " والجامع", "probability": 0.764404296875}, {"start": 135.76, "end": 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"end": 1284.24, "word": " علامة", "probability": 0.9724934895833334}, {"start": 1284.24, "end": 1284.66, "word": " تساوي", "probability": 0.9345703125}, {"start": 1284.66, "end": 1285.12, "word": " معناه", "probability": 0.9482421875}, {"start": 1285.12, "end": 1285.36, "word": " إن", "probability": 0.421875}, {"start": 1285.36, "end": 1285.66, "word": " طرف", "probability": 0.916748046875}, {"start": 1285.66, "end": 1286.28, "word": " الشمال", "probability": 0.9671223958333334}, {"start": 1286.28, "end": 1287.02, "word": " by", "probability": 0.90283203125}, {"start": 1287.02, "end": 1287.6, "word": " definition", "probability": 0.8486328125}, {"start": 1287.6, "end": 1288.2, "word": " بس��وي", "probability": 0.825927734375}, {"start": 1288.2, "end": 1288.54, "word": " الطرف", "probability": 0.9755859375}, {"start": 1288.54, "end": 1289.0, "word": " اليمين", "probability": 0.8487955729166666}, {"start": 1289.0, "end": 1289.86, "word": " إذن", "probability": 0.73779296875}, {"start": 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{"start": 1308.97, "end": 1309.25, "word": " a", "probability": 0.7490234375}, {"start": 1309.25, "end": 1309.85, "word": " الكل", "probability": 0.669921875}, {"start": 1309.85, "end": 1310.07, "word": " to", "probability": 0.63330078125}, {"start": 1310.07, "end": 1310.33, "word": " n", "probability": 0.9287109375}, {"start": 1310.33, "end": 1310.85, "word": " فكل", "probability": 0.38287353515625}, {"start": 1310.85, "end": 1311.09, "word": " هذه", "probability": 0.9072265625}, {"start": 1311.09, "end": 1311.83, "word": " تعريفات", "probability": 0.970703125}, {"start": 1311.83, "end": 1313.27, "word": " بناء", "probability": 0.863037109375}, {"start": 1313.27, "end": 1313.49, "word": " على", "probability": 0.8505859375}, {"start": 1313.49, "end": 1314.25, "word": " التعريفات", "probability": 0.92958984375}, {"start": 1314.25, "end": 1314.63, "word": " هذه", "probability": 0.92236328125}, {"start": 1314.63, "end": 1315.19, "word": " ممكن", "probability": 0.95947265625}, {"start": 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"end": 1323.65, "word": " نهاية", "probability": 0.9554036458333334}, {"start": 1323.65, "end": 1323.81, "word": " ال", "probability": 0.9072265625}, {"start": 1323.81, "end": 1324.13, "word": " section", "probability": 0.87744140625}, {"start": 1324.13, "end": 1329.97, "word": " نتطرق", "probability": 0.8869140625}, {"start": 1329.97, "end": 1330.55, "word": " لحاجة", "probability": 0.9681396484375}, {"start": 1330.55, "end": 1331.25, "word": " اسمها", "probability": 0.94482421875}, {"start": 1331.25, "end": 1332.47, "word": " rational", "probability": 0.45751953125}, {"start": 1332.47, "end": 1333.07, "word": " numbers", "probability": 0.77978515625}, {"start": 1333.07, "end": 1333.65, "word": " الاعداد", "probability": 0.75537109375}, {"start": 1333.65, "end": 1334.33, "word": " النسبية", "probability": 0.9620768229166666}, {"start": 1334.33, "end": 1335.05, "word": " الاعداد", "probability": 0.8527018229166666}, {"start": 1335.05, "end": 1335.79, "word": " النسبية", "probability": 0.9830729166666666}, {"start": 1335.79, "end": 1338.15, "word": " او", "probability": 0.8564453125}, {"start": 1338.15, "end": 1338.51, "word": " rational", "probability": 0.79150390625}, {"start": 1338.51, "end": 1339.19, "word": " numbers", "probability": 0.806640625}, {"start": 1339.19, "end": 1340.07, "word": " بنعرفها", "probability": 0.943115234375}, {"start": 1340.07, "end": 1340.21, "word": " على", "probability": 0.420166015625}, {"start": 1340.21, "end": 1340.39, "word": " انها", "probability": 0.895751953125}, {"start": 1340.39, "end": 1341.03, "word": " مجموعة", "probability": 0.9890625}, {"start": 1341.03, "end": 1341.79, "word": " من", "probability": 0.99072265625}, {"start": 1341.79, "end": 1342.25, "word": " الاعداد", "probability": 0.98291015625}, {"start": 1342.25, "end": 1342.89, "word": " الحقيقية", "probability": 0.9840087890625}, {"start": 1342.89, "end": 1343.07, "word": " او", "probability": 0.95361328125}, {"start": 1343.07, "end": 1343.21, "word": " هي", "probability": 0.66943359375}, {"start": 1343.21, "end": 1343.63, "word": " مجموعة", "probability": 0.961328125}, {"start": 1343.63, "end": 1344.13, "word": " جزئية", "probability": 0.9600830078125}, {"start": 1344.13, "end": 1344.25, "word": " من", "probability": 0.99365234375}, {"start": 1344.25, "end": 1344.65, "word": " الاعداد", "probability": 0.9710286458333334}, {"start": 1344.65, "end": 1345.35, "word": " الحقيقية", "probability": 0.98681640625}], "temperature": 1.0}, {"id": 53, "seek": 136179, "start": 1346.37, "end": 1361.79, "text": "نموذجها بالرمز boldfaceq هذه الرموز الأحرف هذه أو ال letters هذه نسميها boldface يعني حرف مغمق هذه طبعا بتدل على مجموعات", "tokens": [1863, 2304, 2407, 8848, 7435, 11296, 20666, 2288, 2304, 11622, 11928, 2868, 80, 29538, 34892, 2304, 2407, 11622, 16247, 5016, 28480, 29538, 34051, 2423, 7825, 29538, 8717, 38251, 1829, 11296, 11928, 2868, 37495, 22653, 11331, 28480, 3714, 17082, 2304, 4587, 29538, 23032, 3555, 3615, 995, 39894, 3215, 1211, 15844, 3714, 7435, 2304, 45367, 9307], "avg_logprob": -0.24218749783255838, "compression_ratio": 1.462686567164179, "no_speech_prob": 0.0, "words": [{"start": 1346.37, "end": 1346.95, "word": "نموذجها", "probability": 0.6444498697916666}, {"start": 1346.95, "end": 1347.51, "word": " بالرمز", "probability": 0.93310546875}, {"start": 1347.51, "end": 1349.15, "word": " boldfaceq", "probability": 0.6451009114583334}, {"start": 1349.15, "end": 1350.01, "word": " هذه", "probability": 0.4599609375}, {"start": 1350.01, "end": 1350.63, "word": " الرموز", "probability": 0.774169921875}, {"start": 1350.63, "end": 1351.55, "word": " الأحرف", "probability": 0.876953125}, {"start": 1351.55, "end": 1352.13, "word": " هذه", "probability": 0.6162109375}, {"start": 1352.13, "end": 1353.05, "word": " أو", "probability": 0.6982421875}, {"start": 1353.05, "end": 1353.17, "word": " ال", "probability": 0.7236328125}, {"start": 1353.17, "end": 1353.49, "word": " letters", "probability": 0.818359375}, {"start": 1353.49, "end": 1353.79, "word": " هذه", "probability": 0.65185546875}, {"start": 1353.79, "end": 1354.37, "word": " نسميها", "probability": 0.83966064453125}, {"start": 1354.37, "end": 1355.15, "word": " boldface", "probability": 0.83984375}, {"start": 1355.15, "end": 1355.63, "word": " يعني", "probability": 0.7314453125}, {"start": 1355.63, "end": 1356.35, "word": " حرف", "probability": 0.996337890625}, {"start": 1356.35, "end": 1357.45, "word": " مغمق", "probability": 0.9833984375}, {"start": 1357.45, "end": 1360.15, "word": " هذه", "probability": 0.5625}, {"start": 1360.15, "end": 1360.45, "word": " طبعا", "probability": 0.85235595703125}, {"start": 1360.45, "end": 1360.93, "word": " بتدل", "probability": 0.87841796875}, {"start": 1360.93, "end": 1361.11, "word": " على", "probability": 0.83203125}, {"start": 1361.11, "end": 1361.79, "word": " مجموعات", "probability": 0.9759765625}], "temperature": 1.0}, {"id": 54, "seek": 138135, "start": 1363.17, "end": 1381.35, "text": "فال rational numbers هي كل الأعداد الحقيقية اللي ممكن كتبتها على صورة rational a على b حيث a و b أعداد صحيحة هذه مجموعة الأعداد الصحيحة bold في ال z و المقام لازم مايسويش سفر لأن القسم على سفر مش معرفة", "tokens": [5172, 6027, 15090, 3547, 39896, 28242, 16247, 22488, 18513, 21542, 38436, 4587, 10632, 13672, 1829, 3714, 43020, 9122, 2655, 3555, 2655, 11296, 15844, 20328, 13063, 3660, 15090, 257, 15844, 272, 11331, 1829, 12984, 257, 4032, 272, 5551, 22488, 18513, 20328, 5016, 1829, 5016, 3660, 29538, 3714, 7435, 2304, 2407, 27884, 16247, 22488, 18513, 31767, 5016, 1829, 5016, 3660, 11928, 8978, 2423, 710, 4032, 9673, 4587, 10943, 5296, 31377, 2304, 19446, 1829, 3794, 45865, 8592, 8608, 5172, 2288, 5296, 33456, 25062, 38251, 15844, 8608, 5172, 2288, 37893, 20449, 28480, 3660], "avg_logprob": -0.1828125043047799, "compression_ratio": 1.6923076923076923, "no_speech_prob": 0.0, "words": [{"start": 1363.17, "end": 1364.01, "word": "فال", "probability": 0.447479248046875}, {"start": 1364.01, "end": 1364.69, "word": " rational", "probability": 0.80517578125}, {"start": 1364.69, "end": 1365.33, "word": " numbers", "probability": 0.677734375}, {"start": 1365.33, "end": 1365.59, "word": " هي", "probability": 0.89208984375}, {"start": 1365.59, "end": 1365.91, "word": " كل", "probability": 0.83642578125}, {"start": 1365.91, "end": 1366.33, "word": " الأعداد", "probability": 0.841796875}, {"start": 1366.33, "end": 1366.97, "word": " الحقيقية", "probability": 0.9859619140625}, {"start": 1366.97, "end": 1367.19, "word": " اللي", "probability": 0.711181640625}, {"start": 1367.19, "end": 1367.81, "word": " ممكن", "probability": 0.986083984375}, {"start": 1367.81, "end": 1368.45, "word": " كتبتها", "probability": 0.97255859375}, {"start": 1368.45, "end": 1368.65, "word": " على", "probability": 0.9462890625}, {"start": 1368.65, "end": 1369.13, "word": " صورة", "probability": 0.9939778645833334}, {"start": 1369.13, "end": 1370.17, "word": " rational", "probability": 0.8359375}, {"start": 1370.17, "end": 1370.75, "word": " a", "probability": 0.408447265625}, {"start": 1370.75, "end": 1371.05, "word": " على", "probability": 0.79443359375}, {"start": 1371.05, "end": 1371.35, "word": " b", "probability": 0.93701171875}, {"start": 1371.35, "end": 1371.75, "word": " حيث", "probability": 0.6990559895833334}, {"start": 1371.75, "end": 1371.95, "word": " a", "probability": 0.95556640625}, {"start": 1371.95, "end": 1372.07, "word": " و", "probability": 0.921875}, {"start": 1372.07, "end": 1372.21, "word": " b", "probability": 0.392822265625}, {"start": 1372.21, "end": 1372.81, "word": " أعداد", "probability": 0.8932291666666666}, {"start": 1372.81, "end": 1373.65, "word": " صحيحة", "probability": 0.98984375}, {"start": 1373.65, "end": 1374.19, "word": " هذه", "probability": 0.26025390625}, {"start": 1374.19, "end": 1374.67, "word": " مجموعة", "probability": 0.97021484375}, {"start": 1374.67, "end": 1375.13, "word": " الأعداد", "probability": 0.9754231770833334}, {"start": 1375.13, "end": 1375.73, "word": " الصحيحة", "probability": 0.99248046875}, {"start": 1375.73, "end": 1376.01, "word": " bold", "probability": 0.439697265625}, {"start": 1376.01, "end": 1376.23, "word": " في", "probability": 0.96044921875}, {"start": 1376.23, "end": 1376.37, "word": " ال", "probability": 0.86083984375}, {"start": 1376.37, "end": 1376.57, "word": " z", "probability": 0.5634765625}, {"start": 1376.57, "end": 1377.43, "word": " و", "probability": 0.62060546875}, {"start": 1377.43, "end": 1378.05, "word": " المقام", "probability": 0.9200846354166666}, {"start": 1378.05, "end": 1378.43, "word": " لازم", "probability": 0.9348958333333334}, {"start": 1378.43, "end": 1378.93, "word": " مايسويش", "probability": 0.8734375}, {"start": 1378.93, "end": 1379.17, "word": " سفر", "probability": 0.8064778645833334}, {"start": 1379.17, "end": 1379.41, "word": " لأن", "probability": 0.781982421875}, {"start": 1379.41, "end": 1379.75, "word": " القسم", "probability": 0.984619140625}, {"start": 1379.75, "end": 1379.93, "word": " على", "probability": 0.94287109375}, {"start": 1379.93, "end": 1380.35, "word": " سفر", "probability": 0.98974609375}, {"start": 1380.35, "end": 1380.65, "word": " مش", "probability": 0.90869140625}, {"start": 1380.65, "end": 1381.35, "word": " معرفة", "probability": 0.9265950520833334}], "temperature": 1.0}, {"id": 55, "seek": 141012, "start": 1382.36, "end": 1410.12, "text": "الان لو أخدت الأعداد الحقيقية وشلت منها الأعداد النسبية طرحت منها الأعداد النسبية فالأعداد الحقيقية المتبقية بنسميها irrational numbers irrational numbers الأعداد غير النسبية إذا الأعداد النسبية هي كل الأعداد الحقيقية التي لا يمكن كتابتها على صورة rational a على b حيث a وb أعداد صحيحة والمقان بسويش سفر تمام؟", "tokens": [6027, 7649, 45164, 5551, 9778, 3215, 2655, 16247, 22488, 18513, 21542, 38436, 4587, 10632, 4032, 8592, 1211, 2655, 9154, 11296, 16247, 22488, 18513, 28239, 35457, 10632, 23032, 2288, 33753, 9154, 11296, 16247, 22488, 18513, 28239, 35457, 10632, 6156, 6027, 10721, 22488, 18513, 21542, 38436, 4587, 10632, 9673, 2655, 3555, 4587, 10632, 44945, 38251, 1829, 11296, 39914, 3547, 39914, 3547, 16247, 22488, 18513, 32771, 13546, 28239, 35457, 10632, 11933, 15730, 16247, 22488, 18513, 28239, 35457, 10632, 39896, 28242, 16247, 22488, 18513, 21542, 38436, 4587, 10632, 38392, 20193, 7251, 43020, 9122, 2655, 16758, 2655, 11296, 15844, 20328, 13063, 3660, 15090, 257, 15844, 272, 11331, 1829, 12984, 257, 4032, 65, 5551, 22488, 18513, 20328, 5016, 1829, 5016, 3660, 4032, 45340, 4587, 7649, 4724, 3794, 45865, 8592, 8608, 5172, 2288, 46811, 10943, 22807], "avg_logprob": -0.125961539378533, "compression_ratio": 2.314159292035398, "no_speech_prob": 0.0, "words": [{"start": 1382.36, "end": 1383.08, "word": "الان", "probability": 0.769775390625}, {"start": 1383.08, "end": 1383.64, "word": " لو", "probability": 0.85791015625}, {"start": 1383.64, "end": 1384.06, "word": " أخدت", "probability": 0.88720703125}, {"start": 1384.06, "end": 1384.48, "word": " الأعداد", "probability": 0.8860677083333334}, {"start": 1384.48, "end": 1385.1, "word": " الحقيقية", "probability": 0.9793701171875}, {"start": 1385.1, "end": 1385.58, "word": " وشلت", "probability": 0.70440673828125}, {"start": 1385.58, "end": 1385.84, "word": " منها", "probability": 0.9892578125}, {"start": 1385.84, "end": 1386.28, "word": " الأعداد", "probability": 0.9563802083333334}, {"start": 1386.28, "end": 1386.86, "word": " النسبية", "probability": 0.9557291666666666}, {"start": 1386.86, "end": 1387.3, "word": " طرحت", "probability": 0.7123209635416666}, {"start": 1387.3, "end": 1387.54, "word": " منها", "probability": 0.99267578125}, {"start": 1387.54, "end": 1387.82, "word": " الأعداد", "probability": 0.9597981770833334}, {"start": 1387.82, "end": 1388.44, "word": " النسبية", "probability": 0.9806315104166666}, {"start": 1388.44, "end": 1389.72, "word": " فالأعداد", "probability": 0.956640625}, {"start": 1389.72, "end": 1390.28, "word": " الحقيقية", "probability": 0.9808349609375}, {"start": 1390.28, "end": 1391.02, "word": " المتبقية", "probability": 0.98603515625}, {"start": 1391.02, "end": 1391.8, "word": " بنسميها", "probability": 0.9500732421875}, {"start": 1391.8, "end": 1392.32, "word": " irrational", "probability": 0.806640625}, {"start": 1392.32, "end": 1393.16, "word": " numbers", "probability": 0.7734375}, {"start": 1393.16, "end": 1394.28, "word": " irrational", "probability": 0.6142578125}, {"start": 1394.28, "end": 1395.28, "word": " numbers", "probability": 0.8720703125}, {"start": 1395.28, "end": 1395.92, "word": " الأعداد", "probability": 0.9495442708333334}, {"start": 1395.92, "end": 1396.26, "word": " غير", "probability": 0.993408203125}, {"start": 1396.26, "end": 1396.92, "word": " النسبية", "probability": 0.9788411458333334}, {"start": 1396.92, "end": 1398.0, "word": " إذا", "probability": 0.472412109375}, {"start": 1398.0, "end": 1398.48, "word": " الأعداد", "probability": 0.9440104166666666}, {"start": 1398.48, "end": 1399.02, "word": " النسبية", "probability": 0.97705078125}, {"start": 1399.02, "end": 1399.24, "word": " هي", "probability": 0.94287109375}, {"start": 1399.24, "end": 1399.48, "word": " كل", "probability": 0.94384765625}, {"start": 1399.48, "end": 1399.84, "word": " الأعداد", "probability": 0.96435546875}, {"start": 1399.84, "end": 1400.52, "word": " الحقيقية", "probability": 0.976318359375}, {"start": 1400.52, "end": 1400.98, "word": " التي", "probability": 0.822265625}, {"start": 1400.98, "end": 1401.26, "word": " لا", "probability": 0.89501953125}, {"start": 1401.26, "end": 1401.96, "word": " يمكن", "probability": 0.940185546875}, {"start": 1401.96, "end": 1402.94, "word": " كتابتها", "probability": 0.99130859375}, {"start": 1402.94, "end": 1403.78, "word": " على", "probability": 0.958984375}, {"start": 1403.78, "end": 1404.2, "word": " صورة", "probability": 0.9853515625}, {"start": 1404.2, "end": 1404.68, "word": " rational", "probability": 0.908203125}, {"start": 1404.68, "end": 1405.02, "word": " a", "probability": 0.533203125}, {"start": 1405.02, "end": 1405.22, "word": " على", "probability": 0.78955078125}, {"start": 1405.22, "end": 1405.44, "word": " b", "probability": 0.94580078125}, {"start": 1405.44, "end": 1405.8, "word": " حيث", "probability": 0.9781901041666666}, {"start": 1405.8, "end": 1405.94, "word": " a", "probability": 0.9619140625}, {"start": 1405.94, "end": 1406.22, "word": " وb", "probability": 0.769775390625}, {"start": 1406.22, "end": 1406.74, "word": " أعداد", "probability": 0.9658203125}, {"start": 1406.74, "end": 1407.48, "word": " صحيحة", "probability": 0.98642578125}, {"start": 1407.48, "end": 1408.38, "word": " والمقان", "probability": 0.69378662109375}, {"start": 1408.38, "end": 1409.0, "word": " بسويش", "probability": 0.7274169921875}, {"start": 1409.0, "end": 1409.36, "word": " سفر", "probability": 0.87158203125}, {"start": 1409.36, "end": 1410.12, "word": " تمام؟", "probability": 0.82568359375}], "temperature": 1.0}, {"id": 56, "seek": 143885, "start": 1411.19, "end": 1438.85, "text": "طبعا لو أخدت اتحاد ال rational numbers مع ال irrational numbers بيعطوني كل الأعداد الحقيقية يعني المعنى أخر الأعداد الحقيقية احنا جزقناها إلى مجموعتين irrational numbers اتحاد ال irrational numbers طبعا المجموعتين هدول disjoint يعني منفصلتين مافيش بينهم عناصر مشتركة", "tokens": [9566, 3555, 3615, 995, 45164, 5551, 9778, 3215, 2655, 1975, 2655, 5016, 18513, 2423, 15090, 3547, 20449, 2423, 39914, 3547, 4724, 40228, 9566, 11536, 1829, 28242, 16247, 22488, 18513, 21542, 38436, 4587, 10632, 37495, 22653, 9673, 3615, 1863, 7578, 5551, 34740, 16247, 22488, 18513, 21542, 38436, 4587, 10632, 1975, 5016, 8315, 10874, 11622, 4587, 8315, 11296, 30731, 3714, 7435, 2304, 2407, 34268, 9957, 39914, 3547, 1975, 2655, 5016, 18513, 2423, 39914, 3547, 23032, 3555, 3615, 995, 9673, 7435, 2304, 2407, 34268, 9957, 8032, 3215, 12610, 717, 48613, 37495, 22653, 9154, 5172, 36520, 2655, 9957, 19446, 41185, 8592, 49374, 16095, 18871, 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"end": 1570.99, "word": " زي", "probability": 0.80078125}, {"start": 1570.99, "end": 1571.15, "word": " لما", "probability": 0.67333984375}, {"start": 1571.15, "end": 1571.41, "word": " يكون", "probability": 0.90625}, {"start": 1571.41, "end": 1571.55, "word": " في", "probability": 0.67578125}, {"start": 1571.55, "end": 1571.83, "word": " عندي", "probability": 0.7666015625}, {"start": 1571.83, "end": 1572.29, "word": " set", "probability": 0.7626953125}, {"start": 1572.29, "end": 1573.15, "word": " وفي", "probability": 0.7119140625}, {"start": 1573.15, "end": 1573.67, "word": " داخلها", "probability": 0.954345703125}, {"start": 1573.67, "end": 1574.09, "word": " set", "probability": 0.9443359375}], "temperature": 1.0}, {"id": 63, "seek": 160212, "start": 1574.94, "end": 1602.12, "text": "فبنقول sub set لو في عندي group و في عندي مجموعة جزئية من ال group فبنسمي المجموعة جزئية نفسها group أيضا فبنسميها sub group اذا ال Q is a sub field of the field R بناء على النظرية هذه اذا هذه كلها حقائق معروفة يعني", "tokens": [5172, 3555, 1863, 39648, 1422, 992, 45164, 8978, 18871, 16254, 1594, 4032, 8978, 18871, 16254, 3714, 7435, 2304, 2407, 27884, 10874, 11622, 19986, 10632, 9154, 2423, 1594, 6156, 3555, 1863, 38251, 1829, 9673, 7435, 2304, 2407, 27884, 10874, 11622, 19986, 10632, 8717, 36178, 11296, 1594, 36632, 11242, 995, 6156, 3555, 1863, 38251, 1829, 11296, 1422, 1594, 1975, 15730, 2423, 1249, 307, 257, 1422, 2519, 295, 264, 2519, 497, 44945, 16606, 15844, 28239, 19913, 2288, 10632, 29538, 1975, 15730, 29538, 28242, 11296, 11331, 4587, 16373, 4587, 20449, 32887, 5172, 3660, 37495, 22653], "avg_logprob": -0.25611412622358487, "compression_ratio": 1.7305699481865284, "no_speech_prob": 0.0, "words": [{"start": 1574.94, "end": 1575.56, "word": "فبنقول", "probability": 0.6136474609375}, {"start": 1575.56, "end": 1576.04, "word": " sub", "probability": 0.59130859375}, {"start": 1576.04, "end": 1576.58, "word": " set", "probability": 0.63623046875}, {"start": 1576.58, "end": 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1896.28, "end": 1896.64, "word": " even", "probability": 0.880859375}, {"start": 1896.64, "end": 1899.12, "word": " كيف", "probability": 0.953857421875}, {"start": 1899.12, "end": 1899.58, "word": " نبرهن", "probability": 0.840576171875}, {"start": 1899.58, "end": 1899.9, "word": " هذا", "probability": 0.97021484375}, {"start": 1899.9, "end": 1901.7, "word": " برهان", "probability": 0.8153076171875}, {"start": 1901.7, "end": 1902.36, "word": " بالتناقض", "probability": 0.96669921875}, {"start": 1902.36, "end": 1902.74, "word": " افرض", "probability": 0.90234375}, {"start": 1902.74, "end": 1903.04, "word": " أنه", "probability": 0.610595703125}, {"start": 1903.04, "end": 1903.26, "word": " P", "probability": 0.95849609375}, {"start": 1903.26, "end": 1903.74, "word": " odd", "probability": 0.86669921875}, {"start": 1903.74, "end": 1905.22, "word": " أيه", "probability": 0.613037109375}, {"start": 1905.22, "end": 1905.4, "word": " يعني", "probability": 0.954833984375}, {"start": 1905.4, "end": 1905.7, "word": " P", "probability": 0.9755859375}, {"start": 1905.7, "end": 1906.06, "word": " odd", "probability": 0.974609375}, {"start": 1906.06, "end": 1906.42, "word": " يعني", "probability": 0.86669921875}, {"start": 1906.42, "end": 1906.9, "word": " P", "probability": 0.90771484375}, {"start": 1906.9, "end": 1911.6, "word": " هاي", "probability": 0.55328369140625}, {"start": 1911.6, "end": 1911.88, "word": " P", "probability": 0.97021484375}, {"start": 1911.88, "end": 1912.48, "word": " بساوي", "probability": 0.5966796875}, {"start": 1912.48, "end": 1913.24, "word": " 2K", "probability": 0.65966796875}, {"start": 1913.24, "end": 1913.58, "word": " زي", "probability": 0.656982421875}, {"start": 1913.58, "end": 1913.92, "word": " 1", "probability": 0.89892578125}, {"start": 1913.92, "end": 1915.08, "word": " هذا", "probability": 0.90380859375}, {"start": 1915.08, "end": 1915.48, "word": " معناه", "probability": 0.9065755208333334}, {"start": 1915.48, "end": 1915.78, "word": " odd", "probability": 0.91943359375}], "temperature": 1.0}, {"id": 76, "seek": 194284, "start": 1917.1, "end": 1942.84, "text": "وطبعا الـ K هي عدد صحيح ربي إذا P تربية بساوي أربعة K تربية زاد أربعة K زاد واحد وهذا بساوي اتنين في اتنين K تربية زاد اتنين K مع بعض زاد واحد وهذا بساوي اتنين في M زاد واحد حيث M عدد صحيح", "tokens": [2407, 9566, 3555, 3615, 995, 2423, 39184, 591, 39896, 6225, 3215, 3215, 20328, 5016, 1829, 5016, 12602, 21292, 11933, 15730, 430, 6055, 25513, 10632, 4724, 3794, 995, 45865, 5551, 25513, 27884, 591, 6055, 25513, 10632, 30767, 18513, 5551, 25513, 27884, 591, 30767, 18513, 36764, 24401, 37037, 15730, 4724, 3794, 995, 45865, 1975, 2655, 1863, 9957, 8978, 1975, 2655, 1863, 9957, 591, 6055, 25513, 10632, 30767, 18513, 1975, 2655, 1863, 9957, 591, 20449, 45030, 11242, 30767, 18513, 36764, 24401, 37037, 15730, 4724, 3794, 995, 45865, 1975, 2655, 1863, 9957, 8978, 376, 30767, 18513, 36764, 24401, 11331, 1829, 12984, 376, 6225, 3215, 3215, 20328, 5016, 1829, 5016], "avg_logprob": -0.1544811302479708, "compression_ratio": 2.3214285714285716, "no_speech_prob": 0.0, "words": [{"start": 1917.1, "end": 1917.68, "word": "وطبعا", "probability": 0.775244140625}, {"start": 1917.68, "end": 1917.88, "word": " الـ", "probability": 0.406982421875}, {"start": 1917.88, "end": 1918.0, "word": " K", "probability": 0.3583984375}, {"start": 1918.0, "end": 1918.18, "word": " هي", "probability": 0.794921875}, {"start": 1918.18, "end": 1918.5, "word": " عدد", "probability": 0.96435546875}, {"start": 1918.5, "end": 1918.96, "word": " صحيح", "probability": 0.9906005859375}, {"start": 1918.96, "end": 1919.64, "word": " ربي", "probability": 0.80615234375}, {"start": 1919.64, "end": 1920.84, "word": " إذا", "probability": 0.5}, {"start": 1920.84, "end": 1921.06, "word": " P", "probability": 0.82861328125}, {"start": 1921.06, "end": 1921.52, "word": " تربية", "probability": 0.806640625}, {"start": 1921.52, "end": 1922.02, "word": " بساوي", "probability": 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0.94970703125}, {"start": 1938.16, "end": 1938.76, "word": " اتنين", "probability": 0.988525390625}, {"start": 1938.76, "end": 1939.02, "word": " في", "probability": 0.95166015625}, {"start": 1939.02, "end": 1939.42, "word": " M", "probability": 0.91796875}, {"start": 1939.42, "end": 1939.9, "word": " زاد", "probability": 0.955810546875}, {"start": 1939.9, "end": 1940.44, "word": " واحد", "probability": 0.988525390625}, {"start": 1940.44, "end": 1941.5, "word": " حيث", "probability": 0.9864908854166666}, {"start": 1941.5, "end": 1941.84, "word": " M", "probability": 0.85107421875}, {"start": 1941.84, "end": 1942.32, "word": " عدد", "probability": 0.9856770833333334}, {"start": 1942.32, "end": 1942.84, "word": " صحيح", "probability": 0.9964599609375}], "temperature": 1.0}, {"id": 77, "seek": 197251, "start": 1944.29, "end": 1972.51, "text": "إذاً P تربية طلع بساوة اتنين في عدد صحيح زائد واحد وبالتالي هذا اقض Contradiction تناقض لأن احنا عندنا P تربية P تربية is even okay إذاً هذا برهان ال why طيب إذا احنا وصلنا إلى أن P تربية even بقدر أن P even الآن ال P و ال Q have no common factor other than واحد مافيش بينهم عامل مشترك إلا الواحد", "tokens": [28814, 15730, 14111, 430, 6055, 25513, 10632, 23032, 1211, 3615, 4724, 3794, 995, 2407, 3660, 1975, 2655, 1863, 9957, 8978, 6225, 3215, 3215, 20328, 5016, 1829, 5016, 30767, 16373, 3215, 36764, 24401, 46599, 6027, 2655, 6027, 1829, 23758, 1975, 4587, 11242, 4839, 6206, 4105, 6055, 8315, 4587, 11242, 5296, 33456, 1975, 5016, 8315, 43242, 8315, 430, 6055, 25513, 10632, 430, 6055, 25513, 10632, 307, 754, 1392, 11933, 15730, 14111, 23758, 4724, 2288, 3224, 7649, 2423, 983, 23032, 1829, 3555, 11933, 15730, 1975, 5016, 8315, 4032, 36520, 8315, 30731, 14739, 430, 6055, 25513, 10632, 754, 4724, 28543, 2288, 14739, 430, 754, 6024, 48506, 2423, 430, 4032, 2423, 1249, 362, 572, 2689, 5952, 661, 813, 36764, 24401, 19446, 41185, 8592, 49374, 16095, 6225, 10943, 1211, 37893, 2655, 31747, 11933, 15040, 2423, 14407, 24401], "avg_logprob": 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0.984375}, {"start": 1947.81, "end": 1948.95, "word": " وبالتالي", "probability": 0.936328125}, {"start": 1948.95, "end": 1949.27, "word": " هذا", "probability": 0.8349609375}, {"start": 1949.27, "end": 1949.59, "word": " اقض", "probability": 0.3402506510416667}, {"start": 1949.59, "end": 1950.41, "word": " Contradiction", "probability": 0.81396484375}, {"start": 1950.41, "end": 1951.07, "word": " تناقض", "probability": 0.82427978515625}, {"start": 1951.07, "end": 1952.03, "word": " لأن", "probability": 0.7626953125}, {"start": 1952.03, "end": 1952.25, "word": " احنا", "probability": 0.8111979166666666}, {"start": 1952.25, "end": 1952.55, "word": " عندنا", "probability": 0.71435546875}, {"start": 1952.55, "end": 1952.75, "word": " P", "probability": 0.94677734375}, {"start": 1952.75, "end": 1953.27, "word": " تربية", "probability": 0.9659830729166666}, {"start": 1953.27, "end": 1953.61, "word": " P", "probability": 0.595703125}, {"start": 1953.61, "end": 1954.05, "word": " تربية", "probability": 0.9689127604166666}, {"start": 1954.05, "end": 1954.27, "word": " is", "probability": 0.52783203125}, {"start": 1954.27, "end": 1954.59, "word": " even", "probability": 0.8984375}, {"start": 1954.59, "end": 1955.59, "word": " okay", "probability": 0.2447509765625}, {"start": 1955.59, "end": 1956.53, "word": " إذاً", "probability": 0.6114908854166666}, {"start": 1956.53, "end": 1956.71, "word": " هذا", "probability": 0.9013671875}, {"start": 1956.71, "end": 1957.25, "word": " برهان", "probability": 0.9107666015625}, {"start": 1957.25, "end": 1957.41, "word": " ال", "probability": 0.96337890625}, {"start": 1957.41, "end": 1957.69, "word": " why", "probability": 0.343505859375}, {"start": 1957.69, "end": 1958.67, "word": " طيب", "probability": 0.9397786458333334}, {"start": 1958.67, "end": 1960.95, "word": " إذا", "probability": 0.866455078125}, {"start": 1960.95, "end": 1961.61, "word": " احنا", "probability": 0.8396809895833334}, {"start": 1961.61, "end": 1962.01, "word": " وصلنا", "probability": 0.9754231770833334}, {"start": 1962.01, "end": 1962.17, "word": " إلى", "probability": 0.91943359375}, {"start": 1962.17, "end": 1962.39, "word": " أن", "probability": 0.36279296875}, {"start": 1962.39, "end": 1962.67, "word": " P", "probability": 0.92919921875}, {"start": 1962.67, "end": 1963.19, "word": " تربية", "probability": 0.98046875}, {"start": 1963.19, "end": 1963.57, "word": " even", "probability": 0.83544921875}, {"start": 1963.57, "end": 1964.01, "word": " بقدر", "probability": 0.79345703125}, {"start": 1964.01, "end": 1964.15, "word": " أن", "probability": 0.47607421875}, {"start": 1964.15, "end": 1964.45, "word": " P", "probability": 0.92333984375}, {"start": 1964.45, "end": 1964.97, "word": " even", "probability": 0.6474609375}, {"start": 1964.97, "end": 1966.61, "word": " الآن", "probability": 0.6871337890625}, {"start": 1966.61, "end": 1967.31, "word": " ال", "probability": 0.80712890625}, {"start": 1967.31, "end": 1967.61, "word": " P", "probability": 0.9521484375}, {"start": 1967.61, "end": 1967.85, "word": " و", "probability": 0.7822265625}, {"start": 1967.85, "end": 1967.89, "word": " ال", "probability": 0.7216796875}, {"start": 1967.89, "end": 1968.13, "word": " Q", "probability": 0.92919921875}, {"start": 1968.13, "end": 1968.47, "word": " have", "probability": 0.50390625}, {"start": 1968.47, "end": 1968.75, "word": " no", "probability": 0.93408203125}, {"start": 1968.75, "end": 1969.15, "word": " common", "probability": 0.919921875}, {"start": 1969.15, "end": 1969.71, "word": " factor", "probability": 0.91650390625}, {"start": 1969.71, "end": 1969.99, "word": " other", "probability": 0.84619140625}, {"start": 1969.99, "end": 1970.31, "word": " than", "probability": 0.96337890625}, {"start": 1970.31, "end": 1970.63, "word": " واحد", "probability": 0.93115234375}, {"start": 1970.63, "end": 1970.95, "word": " مافيش", "probability": 0.9427083333333334}, {"start": 1970.95, "end": 1971.21, "word": " بينهم", "probability": 0.813232421875}, {"start": 1971.21, "end": 1971.41, "word": " عامل", "probability": 0.9855143229166666}, {"start": 1971.41, "end": 1971.77, "word": " مشترك", "probability": 0.97216796875}, {"start": 1971.77, "end": 1971.99, "word": " إلا", "probability": 0.802978515625}, {"start": 1971.99, "end": 1972.51, "word": " الواحد", "probability": 0.97412109375}], "temperature": 1.0}, {"id": 78, "seek": 200164, "start": 1974.22, "end": 2001.64, "text": "و ال P even إذا لازم ال Q يكون odd لأن لو كان ال Q even و ال P even ففيه عامل مشترك بينهم اتنين على الأقل او أربعة وهذا بتناقض مع ايه أنه احنا فرضين أنه مافيش common factor بين ال P و ال Q إلا الواحد تمام إذا أنا عندي هنا سنتجة أن ال Q لازم يكون odd الآن", "tokens": [2407, 2423, 430, 754, 11933, 15730, 5296, 31377, 2304, 2423, 1249, 7251, 30544, 7401, 5296, 33456, 45164, 25961, 2423, 1249, 754, 4032, 2423, 430, 754, 6156, 41185, 3224, 6225, 10943, 1211, 37893, 2655, 31747, 49374, 16095, 1975, 2655, 1863, 9957, 15844, 16247, 4587, 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is even وهي نفس ال Q سنتجنا انها odd فهذا تناقض .. هذا تناقض صح؟", "tokens": [37746, 6027, 2655, 6027, 1829, 1249, 6055, 25513, 10632, 307, 754, 46599, 6027, 2655, 6027, 1829, 9154, 11296, 44945, 14851, 29399, 7435, 16472, 2423, 1249, 8717, 36178, 11296, 307, 754, 1975, 15730, 2423, 7649, 1975, 8315, 18871, 16254, 2423, 1249, 307, 754, 37037, 1829, 8717, 36178, 2423, 1249, 8608, 29399, 7435, 8315, 16472, 11296, 7401, 6156, 3224, 15730, 6055, 8315, 4587, 11242, 4386, 23758, 6055, 8315, 4587, 11242, 20328, 5016, 22807], "avg_logprob": -0.2186414911929104, "compression_ratio": 1.6733333333333333, "no_speech_prob": 0.0, "words": [{"start": 2033.28, "end": 2033.84, "word": "وبالتالي", "probability": 0.903125}, {"start": 2033.84, "end": 2034.12, "word": " Q", "probability": 0.431884765625}, {"start": 2034.12, "end": 2034.62, "word": " تربية", "probability": 0.4558919270833333}, {"start": 2034.62, "end": 2034.82, "word": " is", "probability": 0.73876953125}, {"start": 2034.82, "end": 2035.28, 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R خواص الترتيب على R", "tokens": [6027, 3541, 16712, 7649, 1829, 18871, 2407, 7649, 3224, 2423, 1668, 7221, 295, 497, 16490, 2407, 33546, 16712, 2288, 31371, 3555, 15844, 497], "avg_logprob": -0.1725260398040215, "compression_ratio": 1.1136363636363635, "no_speech_prob": 0.0, "words": [{"start": 2142.47, "end": 2142.91, "word": "ال", "probability": 0.955078125}, {"start": 2142.91, "end": 2143.23, "word": " section", "probability": 0.231201171875}, {"start": 2143.23, "end": 2143.95, "word": " التاني", "probability": 0.9085286458333334}, {"start": 2143.95, "end": 2145.65, "word": " عنوانه", "probability": 0.9290771484375}, {"start": 2145.65, "end": 2145.77, "word": " ال", "probability": 0.70068359375}, {"start": 2145.77, "end": 2146.11, "word": " order", "probability": 0.96142578125}, {"start": 2146.11, "end": 2146.87, "word": " properties", "probability": 0.693359375}, {"start": 2146.87, "end": 2147.13, "word": " of", "probability": 0.96240234375}, {"start": 2147.13, "end": 2147.45, 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