{
    "markdown": "\\int_{3}^{100} \\sin(t) \\, dt = k^2 = C\n## برهان\nركن من أركان الإسلام، وأن الدليل على وجوبه: كتاب اللَّه عز وجل وسنة رسوله صلى الله عليه وسلم، وذلك موضع إجماع هذه الأمة، لكن الذي بقي هنا\ny_{n+1} = y_n - \\alpha \\nabla f(y_n) + \\frac{t}{\\beta^2}\n\\iint_{D} k^2 = \\alpha^2 \\, dx \\, dy\n\\sum_{n=0}^{\\infty} \\frac{\\lambda^n}{n!} = e^{\\lambda}\n## برهان\nأن نعرف متى يجب؟ ما دمنا عرفنا أنه واجب، فهل هناك وقت يتعين أن يُؤدى الحج فيه؟ وهي المسألة التي يُعَبِّر عنها الفقهاء: هل الحج على الفور أو على التراخي؟ (1) ؛ أي: هل يجب على\n\\vec{F} = m\\vec{a} + \\frac{y}{y^2}\n## تعريف\nالصِّفَاتِ الْمُعْتَبَرَةِ (فَبِنَظَافَةِ الثَّوْبِ وَالْبَدَنِ) مِنْ الْأَوْسَاخِ (وَحُسْنِ الصَّوْتِ وَطِيبِ الصَّنْعَةِ وَنَحْوِهَا) مِنْ الْفَضَائِلِ كَحُسْنِ وَجْهٍ وَسَمْتٍ، وَذِكْرٍ بَيْنَ النَّاسِ لِأَنَّهَا تُفْضِي إلَى اسْتِمَالَةِ الْقُلُوبَ وَكَثْرَةِ الْجَمْعِ. تَنْبِيهٌ: لَا يُعْلَمُ مِنْ كَلَامِ الْمُصَنِّفِ تَرْتِيبٌ فِي ذَلِكَ، وَاَلَّذِي فِي الرَّوْضَةِ كَأَصْلِهَا عَنْ الْمُتَوَلِّي، وَجَزَمَ بِهِ الرَّافِعِيُّ فِي الشَّرْحِ الصَّغِيرِ أَيْ\n\\frac{\\partial t}{\\partial \\lambda} = \\lim_{h \\to 0} \\frac{\\ln(\\lambda + h) - \\ln(\\lambda)}{h} + \\frac{n}{j^2}\n## ملاحظة\nوَهُوَ الْمُعْتَمَدُ أَنَّهُ يُقَدَّمُ بِالنَّظَافَةِ ثُمَّ بِحُسْنِ\n\\mu_{n+1} = \\mu_n - \\alpha \\nabla f(\\mu_n)\n\\frac{\\partial \\theta}{\\partial z} = \\lim_{h \\to 0} \\frac{\\exp(z + h) - \\exp(z)}{h}\nP(A|B) = \\frac{P(A \\cap B)}{P(B)}\n\\nabla_{\\mu} J(\\mu) = \\frac{1}{m} X^T ( \\sigma(X \\mu) - Y )",
    "images": [],
    "tables": [],
    "hyperlinks": [],
    "header": null,
    "footer": null,
    "dimensions": {
        "dpi": 96,
        "height": 1175,
        "width": 722
    },
    "confidence_scores": {
        "word_confidence_scores": [
            {
                "text": "\\int_{3}^{100}",
                "confidence": 1.0,
                "start_index": 0
            },
            {
                "text": "\\sin(t)",
                "confidence": 1.0,
                "start_index": 15
            },
            {
                "text": "\\,",
                "confidence": 1.0,
                "start_index": 23
            },
            {
                "text": "dt",
                "confidence": 1.0,
                "start_index": 26
            },
            {
                "text": "=",
                "confidence": 1.0,
                "start_index": 29
            },
            {
                "text": "k^2",
                "confidence": 1.0,
                "start_index": 31
            },
            {
                "text": "=",
                "confidence": 1.0,
                "start_index": 35
            },
            {
                "text": "C",
                "confidence": 1.0,
                "start_index": 37
            },
            {
                "text": "##",
                "confidence": 1.0,
                "start_index": 39
            },
            {
                "text": "برهان",
                "confidence": 1.0,
                "start_index": 42
            },
            {
                "text": "ركن",
                "confidence": 1.0,
                "start_index": 48
            },
            {
                "text": "من",
                "confidence": 1.0,
                "start_index": 52
            },
            {
                "text": "أركان",
                "confidence": 1.0,
                "start_index": 55
            },
            {
                "text": "الإسلام،",
                "confidence": 1.0,
                "start_index": 61
            },
            {
                "text": "وأن",
                "confidence": 1.0,
                "start_index": 70
            },
            {
                "text": "الدليل",
                "confidence": 1.0,
                "start_index": 74
            },
            {
                "text": "على",
                "confidence": 1.0,
                "start_index": 81
            },
            {
                "text": "وجوبه:",
                "confidence": 1.0,
                "start_index": 85
            },
            {
                "text": "كتاب",
                "confidence": 1.0,
                "start_index": 92
            },
            {
                "text": "اللَّه",
                "confidence": 1.0,
                "start_index": 97
            },
            {
                "text": "عز",
                "confidence": 1.0,
                "start_index": 104
            },
            {
                "text": "وجل",
                "confidence": 1.0,
                "start_index": 107
            },
            {
                "text": "وسنة",
                "confidence": 1.0,
                "start_index": 111
            },
            {
                "text": "رسوله",
                "confidence": 1.0,
                "start_index": 116
            },
            {
                "text": "صلى",
                "confidence": 1.0,
                "start_index": 122
            },
            {
                "text": "الله",
                "confidence": 1.0,
                "start_index": 126
            },
            {
                "text": "عليه",
                "confidence": 1.0,
                "start_index": 131
            },
            {
                "text": "وسلم،",
                "confidence": 1.0,
                "start_index": 136
            },
            {
                "text": "وذلك",
                "confidence": 1.0,
                "start_index": 142
            },
            {
                "text": "موضع",
                "confidence": 1.0,
                "start_index": 147
            },
            {
                "text": "إجماع",
                "confidence": 1.0,
                "start_index": 152
            },
            {
                "text": "هذه",
                "confidence": 1.0,
                "start_index": 158
            },
            {
                "text": "الأمة،",
                "confidence": 1.0,
                "start_index": 162
            },
            {
                "text": "لكن",
                "confidence": 1.0,
                "start_index": 169
            },
            {
                "text": "الذي",
                "confidence": 1.0,
                "start_index": 173
            },
            {
                "text": "بقي",
                "confidence": 1.0,
                "start_index": 178
            },
            {
                "text": "هنا",
                "confidence": 1.0,
                "start_index": 182
            },
            {
                "text": "y_{n+1}",
                "confidence": 1.0,
                "start_index": 186
            },
            {
                "text": "=",
                "confidence": 1.0,
                "start_index": 194
            },
            {
                "text": "y_n",
                "confidence": 1.0,
                "start_index": 196
            },
            {
                "text": "-",
                "confidence": 1.0,
                "start_index": 200
            },
            {
                "text": "\\alpha",
                "confidence": 1.0,
                "start_index": 202
            },
            {
                "text": "\\nabla",
                "confidence": 1.0,
                "start_index": 209
            },
            {
                "text": "f(y_n)",
                "confidence": 1.0,
                "start_index": 216
            },
            {
                "text": "+",
                "confidence": 1.0,
                "start_index": 223
            },
            {
                "text": "\\frac{t}{\\beta^2}",
                "confidence": 1.0,
                "start_index": 225
            },
            {
                "text": "\\iint_{D}",
                "confidence": 1.0,
                "start_index": 243
            },
            {
                "text": "k^2",
                "confidence": 1.0,
                "start_index": 253
            },
            {
                "text": "=",
                "confidence": 1.0,
                "start_index": 257
            },
            {
                "text": "\\alpha^2",
                "confidence": 1.0,
                "start_index": 259
            },
            {
                "text": "\\,",
                "confidence": 1.0,
                "start_index": 268
            },
            {
                "text": "dx",
                "confidence": 1.0,
                "start_index": 271
            },
            {
                "text": "\\,",
                "confidence": 1.0,
                "start_index": 274
            },
            {
                "text": "dy",
                "confidence": 1.0,
                "start_index": 277
            },
            {
                "text": "\\sum_{n=0}^{\\infty}",
                "confidence": 1.0,
                "start_index": 280
            },
            {
                "text": "\\frac{\\lambda^n}{n!}",
                "confidence": 1.0,
                "start_index": 300
            },
            {
                "text": "=",
                "confidence": 1.0,
                "start_index": 321
            },
            {
                "text": "e^{\\lambda}",
                "confidence": 1.0,
                "start_index": 323
            },
            {
                "text": "##",
                "confidence": 1.0,
                "start_index": 335
            },
            {
                "text": "برهان",
                "confidence": 1.0,
                "start_index": 338
            },
            {
                "text": "أن",
                "confidence": 1.0,
                "start_index": 344
            },
            {
                "text": "نعرف",
                "confidence": 1.0,
                "start_index": 347
            },
            {
                "text": "متى",
                "confidence": 1.0,
                "start_index": 352
            },
            {
                "text": "يجب؟",
                "confidence": 1.0,
                "start_index": 356
            },
            {
                "text": "ما",
                "confidence": 1.0,
                "start_index": 361
            },
            {
                "text": "دمنا",
                "confidence": 1.0,
                "start_index": 364
            },
            {
                "text": "عرفنا",
                "confidence": 1.0,
                "start_index": 369
            },
            {
                "text": "أنه",
                "confidence": 1.0,
                "start_index": 375
            },
            {
                "text": "واجب،",
                "confidence": 1.0,
                "start_index": 379
            },
            {
                "text": "فهل",
                "confidence": 1.0,
                "start_index": 385
            },
            {
                "text": "هناك",
                "confidence": 1.0,
                "start_index": 389
            },
            {
                "text": "وقت",
                "confidence": 1.0,
                "start_index": 394
            },
            {
                "text": "يتعين",
                "confidence": 1.0,
                "start_index": 398
            },
            {
                "text": "أن",
                "confidence": 1.0,
                "start_index": 404
            },
            {
                "text": "يُؤدى",
                "confidence": 1.0,
                "start_index": 407
            },
            {
                "text": "الحج",
                "confidence": 1.0,
                "start_index": 413
            },
            {
                "text": "فيه؟",
                "confidence": 1.0,
                "start_index": 418
            },
            {
                "text": "وهي",
                "confidence": 1.0,
                "start_index": 423
            },
            {
                "text": "المسألة",
                "confidence": 1.0,
                "start_index": 427
            },
            {
                "text": "التي",
                "confidence": 1.0,
                "start_index": 435
            },
            {
                "text": "يُعَبِّر",
                "confidence": 1.0,
                "start_index": 440
            },
            {
                "text": "عنها",
                "confidence": 1.0,
                "start_index": 449
            },
            {
                "text": "الفقهاء:",
                "confidence": 1.0,
                "start_index": 454
            },
            {
                "text": "هل",
                "confidence": 1.0,
                "start_index": 463
            },
            {
                "text": "الحج",
                "confidence": 1.0,
                "start_index": 466
            },
            {
                "text": "على",
                "confidence": 1.0,
                "start_index": 471
            },
            {
                "text": "الفور",
                "confidence": 1.0,
                "start_index": 475
            },
            {
                "text": "أو",
                "confidence": 1.0,
                "start_index": 481
            },
            {
                "text": "على",
                "confidence": 1.0,
                "start_index": 484
            },
            {
                "text": "التراخي؟",
                "confidence": 1.0,
                "start_index": 488
            },
            {
                "text": "(1)",
                "confidence": 1.0,
                "start_index": 497
            },
            {
                "text": "؛",
                "confidence": 1.0,
                "start_index": 501
            },
            {
                "text": "أي:",
                "confidence": 1.0,
                "start_index": 503
            },
            {
                "text": "هل",
                "confidence": 1.0,
                "start_index": 507
            },
            {
                "text": "يجب",
                "confidence": 1.0,
                "start_index": 510
            },
            {
                "text": "على",
                "confidence": 1.0,
                "start_index": 514
            },
            {
                "text": "\\vec{F}",
                "confidence": 1.0,
                "start_index": 518
            },
            {
                "text": "=",
                "confidence": 1.0,
                "start_index": 526
            },
            {
                "text": "m\\vec{a}",
                "confidence": 1.0,
                "start_index": 528
            },
            {
                "text": "+",
                "confidence": 1.0,
                "start_index": 537
            },
            {
                "text": "\\frac{y}{y^2}",
                "confidence": 1.0,
                "start_index": 539
            },
            {
                "text": "##",
                "confidence": 1.0,
                "start_index": 553
            },
            {
                "text": "تعريف",
                "confidence": 1.0,
                "start_index": 556
            },
            {
                "text": "الصِّفَاتِ",
                "confidence": 1.0,
                "start_index": 562
            },
            {
                "text": "الْمُعْتَبَرَةِ",
                "confidence": 1.0,
                "start_index": 573
            },
            {
                "text": "(فَبِنَظَافَةِ",
                "confidence": 1.0,
                "start_index": 589
            },
            {
                "text": "الثَّوْبِ",
                "confidence": 1.0,
                "start_index": 604
            },
            {
                "text": "وَالْبَدَنِ)",
                "confidence": 1.0,
                "start_index": 614
            },
            {
                "text": "مِنْ",
                "confidence": 1.0,
                "start_index": 627
            },
            {
                "text": "الْأَوْسَاخِ",
                "confidence": 1.0,
                "start_index": 632
            },
            {
                "text": "(وَحُسْنِ",
                "confidence": 1.0,
                "start_index": 645
            },
            {
                "text": "الصَّوْتِ",
                "confidence": 1.0,
                "start_index": 655
            },
            {
                "text": "وَطِيبِ",
                "confidence": 1.0,
                "start_index": 665
            },
            {
                "text": "الصَّنْعَةِ",
                "confidence": 1.0,
                "start_index": 673
            },
            {
                "text": "وَنَحْوِهَا)",
                "confidence": 1.0,
                "start_index": 685
            },
            {
                "text": "مِنْ",
                "confidence": 1.0,
                "start_index": 698
            },
            {
                "text": "الْفَضَائِلِ",
                "confidence": 1.0,
                "start_index": 703
            },
            {
                "text": "كَحُسْنِ",
                "confidence": 1.0,
                "start_index": 716
            },
            {
                "text": "وَجْهٍ",
                "confidence": 1.0,
                "start_index": 725
            },
            {
                "text": "وَسَمْتٍ،",
                "confidence": 1.0,
                "start_index": 732
            },
            {
                "text": "وَذِكْرٍ",
                "confidence": 1.0,
                "start_index": 742
            },
            {
                "text": "بَيْنَ",
                "confidence": 1.0,
                "start_index": 751
            },
            {
                "text": "النَّاسِ",
                "confidence": 1.0,
                "start_index": 758
            },
            {
                "text": "لِأَنَّهَا",
                "confidence": 1.0,
                "start_index": 767
            },
            {
                "text": "تُفْضِي",
                "confidence": 1.0,
                "start_index": 778
            },
            {
                "text": "إلَى",
                "confidence": 1.0,
                "start_index": 786
            },
            {
                "text": "اسْتِمَالَةِ",
                "confidence": 1.0,
                "start_index": 791
            },
            {
                "text": "الْقُلُوبَ",
                "confidence": 1.0,
                "start_index": 804
            },
            {
                "text": "وَكَثْرَةِ",
                "confidence": 1.0,
                "start_index": 815
            },
            {
                "text": "الْجَمْعِ.",
                "confidence": 1.0,
                "start_index": 826
            },
            {
                "text": "تَنْبِيهٌ:",
                "confidence": 1.0,
                "start_index": 837
            },
            {
                "text": "لَا",
                "confidence": 1.0,
                "start_index": 848
            },
            {
                "text": "يُعْلَمُ",
                "confidence": 1.0,
                "start_index": 852
            },
            {
                "text": "مِنْ",
                "confidence": 1.0,
                "start_index": 861
            },
            {
                "text": "كَلَامِ",
                "confidence": 1.0,
                "start_index": 866
            },
            {
                "text": "الْمُصَنِّفِ",
                "confidence": 1.0,
                "start_index": 874
            },
            {
                "text": "تَرْتِيبٌ",
                "confidence": 1.0,
                "start_index": 887
            },
            {
                "text": "فِي",
                "confidence": 1.0,
                "start_index": 897
            },
            {
                "text": "ذَلِكَ،",
                "confidence": 1.0,
                "start_index": 901
            },
            {
                "text": "وَاَلَّذِي",
                "confidence": 1.0,
                "start_index": 909
            },
            {
                "text": "فِي",
                "confidence": 1.0,
                "start_index": 920
            },
            {
                "text": "الرَّوْضَةِ",
                "confidence": 1.0,
                "start_index": 924
            },
            {
                "text": "كَأَصْلِهَا",
                "confidence": 1.0,
                "start_index": 936
            },
            {
                "text": "عَنْ",
                "confidence": 1.0,
                "start_index": 948
            },
            {
                "text": "الْمُتَوَلِّي،",
                "confidence": 1.0,
                "start_index": 953
            },
            {
                "text": "وَجَزَمَ",
                "confidence": 1.0,
                "start_index": 968
            },
            {
                "text": "بِهِ",
                "confidence": 1.0,
                "start_index": 977
            },
            {
                "text": "الرَّافِعِيُّ",
                "confidence": 1.0,
                "start_index": 982
            },
            {
                "text": "فِي",
                "confidence": 1.0,
                "start_index": 996
            },
            {
                "text": "الشَّرْحِ",
                "confidence": 1.0,
                "start_index": 1000
            },
            {
                "text": "الصَّغِيرِ",
                "confidence": 1.0,
                "start_index": 1010
            },
            {
                "text": "أَيْ",
                "confidence": 1.0,
                "start_index": 1021
            },
            {
                "text": "\\frac{\\partial",
                "confidence": 1.0,
                "start_index": 1026
            },
            {
                "text": "t}{\\partial",
                "confidence": 1.0,
                "start_index": 1041
            },
            {
                "text": "\\lambda}",
                "confidence": 1.0,
                "start_index": 1053
            },
            {
                "text": "=",
                "confidence": 1.0,
                "start_index": 1062
            },
            {
                "text": "\\lim_{h",
                "confidence": 1.0,
                "start_index": 1064
            },
            {
                "text": "\\to",
                "confidence": 1.0,
                "start_index": 1072
            },
            {
                "text": "0}",
                "confidence": 1.0,
                "start_index": 1076
            },
            {
                "text": "\\frac{\\ln(\\lambda",
                "confidence": 1.0,
                "start_index": 1079
            },
            {
                "text": "+",
                "confidence": 1.0,
                "start_index": 1097
            },
            {
                "text": "h)",
                "confidence": 1.0,
                "start_index": 1099
            },
            {
                "text": "-",
                "confidence": 1.0,
                "start_index": 1102
            },
            {
                "text": "\\ln(\\lambda)}{h}",
                "confidence": 1.0,
                "start_index": 1104
            },
            {
                "text": "+",
                "confidence": 1.0,
                "start_index": 1121
            },
            {
                "text": "\\frac{n}{j^2}",
                "confidence": 1.0,
                "start_index": 1123
            },
            {
                "text": "##",
                "confidence": 1.0,
                "start_index": 1137
            },
            {
                "text": "ملاحظة",
                "confidence": 1.0,
                "start_index": 1140
            },
            {
                "text": "وَهُوَ",
                "confidence": 1.0,
                "start_index": 1147
            },
            {
                "text": "الْمُعْتَمَدُ",
                "confidence": 1.0,
                "start_index": 1154
            },
            {
                "text": "أَنَّهُ",
                "confidence": 1.0,
                "start_index": 1168
            },
            {
                "text": "يُقَدَّمُ",
                "confidence": 1.0,
                "start_index": 1176
            },
            {
                "text": "بِالنَّظَافَةِ",
                "confidence": 1.0,
                "start_index": 1186
            },
            {
                "text": "ثُمَّ",
                "confidence": 1.0,
                "start_index": 1201
            },
            {
                "text": "بِحُسْنِ",
                "confidence": 1.0,
                "start_index": 1207
            },
            {
                "text": "\\mu_{n+1}",
                "confidence": 1.0,
                "start_index": 1216
            },
            {
                "text": "=",
                "confidence": 1.0,
                "start_index": 1226
            },
            {
                "text": "\\mu_n",
                "confidence": 1.0,
                "start_index": 1228
            },
            {
                "text": "-",
                "confidence": 1.0,
                "start_index": 1234
            },
            {
                "text": "\\alpha",
                "confidence": 1.0,
                "start_index": 1236
            },
            {
                "text": "\\nabla",
                "confidence": 1.0,
                "start_index": 1243
            },
            {
                "text": "f(\\mu_n)",
                "confidence": 1.0,
                "start_index": 1250
            },
            {
                "text": "\\frac{\\partial",
                "confidence": 1.0,
                "start_index": 1259
            },
            {
                "text": "\\theta}{\\partial",
                "confidence": 1.0,
                "start_index": 1274
            },
            {
                "text": "z}",
                "confidence": 1.0,
                "start_index": 1291
            },
            {
                "text": "=",
                "confidence": 1.0,
                "start_index": 1294
            },
            {
                "text": "\\lim_{h",
                "confidence": 1.0,
                "start_index": 1296
            },
            {
                "text": "\\to",
                "confidence": 1.0,
                "start_index": 1304
            },
            {
                "text": "0}",
                "confidence": 1.0,
                "start_index": 1308
            },
            {
                "text": "\\frac{\\exp(z",
                "confidence": 1.0,
                "start_index": 1311
            },
            {
                "text": "+",
                "confidence": 1.0,
                "start_index": 1324
            },
            {
                "text": "h)",
                "confidence": 1.0,
                "start_index": 1326
            },
            {
                "text": "-",
                "confidence": 1.0,
                "start_index": 1329
            },
            {
                "text": "\\exp(z)}{h}",
                "confidence": 1.0,
                "start_index": 1331
            },
            {
                "text": "P(A|B)",
                "confidence": 1.0,
                "start_index": 1343
            },
            {
                "text": "=",
                "confidence": 1.0,
                "start_index": 1350
            },
            {
                "text": "\\frac{P(A",
                "confidence": 1.0,
                "start_index": 1352
            },
            {
                "text": "\\cap",
                "confidence": 1.0,
                "start_index": 1362
            },
            {
                "text": "B)}{P(B)}",
                "confidence": 1.0,
                "start_index": 1367
            },
            {
                "text": "\\nabla_{\\mu}",
                "confidence": 1.0,
                "start_index": 1377
            },
            {
                "text": "J(\\mu)",
                "confidence": 1.0,
                "start_index": 1390
            },
            {
                "text": "=",
                "confidence": 1.0,
                "start_index": 1397
            },
            {
                "text": "\\frac{1}{m}",
                "confidence": 1.0,
                "start_index": 1399
            },
            {
                "text": "X^T",
                "confidence": 1.0,
                "start_index": 1411
            },
            {
                "text": "(",
                "confidence": 1.0,
                "start_index": 1415
            },
            {
                "text": "\\sigma(X",
                "confidence": 1.0,
                "start_index": 1417
            },
            {
                "text": "\\mu)",
                "confidence": 1.0,
                "start_index": 1426
            },
            {
                "text": "-",
                "confidence": 1.0,
                "start_index": 1431
            },
            {
                "text": "Y",
                "confidence": 1.0,
                "start_index": 1433
            },
            {
                "text": ")",
                "confidence": 1.0,
                "start_index": 1435
            }
        ],
        "average_page_confidence_score": 1.0,
        "minimum_page_confidence_score": 1.0
    },
    "blocks": [
        {
            "top_left_x": 40,
            "top_left_y": 46,
            "bottom_right_x": 682,
            "bottom_right_y": 106,
            "content": "\\int_{3}^{100} \\sin(t) \\, dt = k^2 = C",
            "type": "text",
            "confidence_scores": null,
            "reading_index": 1
        },
        {
            "top_left_x": 52,
            "top_left_y": 124,
            "bottom_right_x": 666,
            "bottom_right_y": 146,
            "content": "برهان",
            "type": "title",
            "confidence_scores": null,
            "reading_index": 2
        },
        {
            "top_left_x": 52,
            "top_left_y": 151,
            "bottom_right_x": 666,
            "bottom_right_y": 196,
            "content": "ركن من أركان الإسلام، وأن الدليل على وجوبه: كتاب اللَّه عز وجل وسنة رسوله صلى الله عليه وسلم، وذلك موضع إجماع هذه الأمة، لكن الذي بقي هنا",
            "type": "text",
            "confidence_scores": null,
            "reading_index": 3
        },
        {
            "top_left_x": 52,
            "top_left_y": 202,
            "bottom_right_x": 666,
            "bottom_right_y": 255,
            "content": "y_{n+1} = y_n - \\alpha \\nabla f(y_n) + \\frac{t}{\\beta^2}",
            "type": "text",
            "confidence_scores": null,
            "reading_index": 4
        },
        {
            "top_left_x": 40,
            "top_left_y": 287,
            "bottom_right_x": 682,
            "bottom_right_y": 343,
            "content": "\\iint_{D} k^2 = \\alpha^2 \\, dx \\, dy",
            "type": "text",
            "confidence_scores": null,
            "reading_index": 5
        },
        {
            "top_left_x": 40,
            "top_left_y": 349,
            "bottom_right_x": 682,
            "bottom_right_y": 419,
            "content": "\\sum_{n=0}^{\\infty} \\frac{\\lambda^n}{n!} = e^{\\lambda}",
            "type": "text",
            "confidence_scores": null,
            "reading_index": 6
        },
        {
            "top_left_x": 52,
            "top_left_y": 437,
            "bottom_right_x": 666,
            "bottom_right_y": 459,
            "content": "برهان",
            "type": "title",
            "confidence_scores": null,
            "reading_index": 7
        },
        {
            "top_left_x": 52,
            "top_left_y": 464,
            "bottom_right_x": 666,
            "bottom_right_y": 509,
            "content": "أن نعرف متى يجب؟ ما دمنا عرفنا أنه واجب، فهل هناك وقت يتعين أن يُؤدى الحج فيه؟ وهي المسألة التي يُعَبِّر عنها الفقهاء: هل الحج على الفور أو على التراخي؟ (1) ؛ أي: هل يجب على",
            "type": "text",
            "confidence_scores": null,
            "reading_index": 8
        },
        {
            "top_left_x": 52,
            "top_left_y": 515,
            "bottom_right_x": 666,
            "bottom_right_y": 565,
            "content": "\\vec{F} = m\\vec{a} + \\frac{y}{y^2}",
            "type": "text",
            "confidence_scores": null,
            "reading_index": 9
        },
        {
            "top_left_x": 52,
            "top_left_y": 609,
            "bottom_right_x": 666,
            "bottom_right_y": 631,
            "content": "تعريف",
            "type": "title",
            "confidence_scores": null,
            "reading_index": 10
        },
        {
            "top_left_x": 52,
            "top_left_y": 636,
            "bottom_right_x": 666,
            "bottom_right_y": 704,
            "content": "الصِّفَاتِ الْمُعْتَبَرَةِ (فَبِنَظَافَةِ الثَّوْبِ وَالْبَدَنِ) مِنْ الْأَوْسَاخِ (وَحُسْنِ الصَّوْتِ وَطِيبِ الصَّنْعَةِ وَنَحْوِهَا) مِنْ الْفَضَائِلِ كَحُسْنِ وَجْهٍ وَسَمْتٍ، وَذِكْرٍ بَيْنَ النَّاسِ لِأَنَّهَا تُفْضِي إلَى اسْتِمَالَةِ الْقُلُوبَ وَكَثْرَةِ الْجَمْعِ. تَنْبِيهٌ: لَا يُعْلَمُ مِنْ كَلَامِ الْمُصَنِّفِ تَرْتِيبٌ فِي ذَلِكَ، وَاَلَّذِي فِي الرَّوْضَةِ كَأَصْلِهَا عَنْ الْمُتَوَلِّي، وَجَزَمَ بِهِ الرَّافِعِيُّ فِي الشَّرْحِ الصَّغِيرِ أَيْ",
            "type": "text",
            "confidence_scores": null,
            "reading_index": 11
        },
        {
            "top_left_x": 52,
            "top_left_y": 710,
            "bottom_right_x": 666,
            "bottom_right_y": 765,
            "content": "\\frac{\\partial t}{\\partial \\lambda} = \\lim_{h \\to 0} \\frac{\\ln(\\lambda + h) - \\ln(\\lambda)}{h} + \\frac{n}{j^2}",
            "type": "text",
            "confidence_scores": null,
            "reading_index": 12
        },
        {
            "top_left_x": 52,
            "top_left_y": 809,
            "bottom_right_x": 666,
            "bottom_right_y": 831,
            "content": "ملاحظة",
            "type": "title",
            "confidence_scores": null,
            "reading_index": 13
        },
        {
            "top_left_x": 52,
            "top_left_y": 836,
            "bottom_right_x": 666,
            "bottom_right_y": 858,
            "content": "وَهُوَ الْمُعْتَمَدُ أَنَّهُ يُقَدَّمُ بِالنَّظَافَةِ ثُمَّ بِحُسْنِ",
            "type": "text",
            "confidence_scores": null,
            "reading_index": 14
        },
        {
            "top_left_x": 52,
            "top_left_y": 864,
            "bottom_right_x": 666,
            "bottom_right_y": 902,
            "content": "\\mu_{n+1} = \\mu_n - \\alpha \\nabla f(\\mu_n)",
            "type": "text",
            "confidence_scores": null,
            "reading_index": 15
        },
        {
            "top_left_x": 40,
            "top_left_y": 934,
            "bottom_right_x": 682,
            "bottom_right_y": 987,
            "content": "\\frac{\\partial \\theta}{\\partial z} = \\lim_{h \\to 0} \\frac{\\exp(z + h) - \\exp(z)}{h}",
            "type": "text",
            "confidence_scores": null,
            "reading_index": 16
        },
        {
            "top_left_x": 40,
            "top_left_y": 993,
            "bottom_right_x": 682,
            "bottom_right_y": 1049,
            "content": "P(A|B) = \\frac{P(A \\cap B)}{P(B)}",
            "type": "text",
            "confidence_scores": null,
            "reading_index": 17
        },
        {
            "top_left_x": 40,
            "top_left_y": 1055,
            "bottom_right_x": 682,
            "bottom_right_y": 1106,
            "content": "\\nabla_{\\mu} J(\\mu) = \\frac{1}{m} X^T ( \\sigma(X \\mu) - Y )",
            "type": "text",
            "confidence_scores": null,
            "reading_index": 18
        }
    ],
    "meta": {
        "template": "math_proof",
        "hybrid": null,
        "page_font": "b-tooba.ttf",
        "title_font": "b-jadid-bold.ttf",
        "language": "ar",
        "script": "arabic",
        "direction": "rtl",
        "augmentation": {
            "name": "gaussian_noise",
            "params": {
                "sigma": 6
            }
        }
    }
}