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{
    "markdown": "## ุจุฑู‡ุงู†\nุจู‚ุชุงู„ู‡ู… ุจู‚ูˆู„ู‡: {ู‚ุงุชูู„ููˆุง ุงู„ู‘ูŽุฐููŠู†ูŽ ู„ุง ูŠูุคู’ู…ูู†ููˆู†ูŽ ุจูุงู„ู„ู‡ู ูˆูŽู„ุง ุจูุงู„ู’ูŠูŽูˆู’ู…ู ุงู„ู’ุขุฎูุฑู.}. ุงู„ุขูŠุฉุŒ\n\\int_{0}^{100} \\log(\\sigma) \\, d\\sigma = x^2 \\cdot C + \\frac{\\beta}{\\beta^2}\n## ุชุนุฑูŠู\nุฅู„ู‰ ู‚ูˆู„ู‡: {ูˆูŽู‡ูู…ู’ ุตุงุบูุฑููˆู†ูŽ} (1) ูˆุบูŠุฑ ุฐู„ูƒ ู…ู† ุงู„ุขูŠุงุชุŒ ูู‚ุชู„ูˆุง ุจู†ูŠ ู‚ุฑูŠุธุฉุ› ูˆุฃุฌู„ูˆุง ุจู†ูŠ ุงู„ู†ุถูŠุฑ. ูˆู‚ูŠู„: ู…ุนู†ุงู‡: {(ุญูŽุชู‘ู‰ ูŠูŽุฃู’ุชููŠูŽ ุงู„ู„ู‡ู ุจูุฃูŽู…ู’ุฑูู‡ู)}:ู‚ูŠุงู… ุงู„ุณุงุนุฉ ูˆูŠุฌุงุฒูŠู‡ู… ุจุฃุนู…ุงู„ู‡ู…. {ุฅูู†ู‘ูŽ ุงู„ู„ู‡ูŽ ุนูŽู„ู‰ ูƒูู„ู‘ู\n\\frac{\\partial j}{\\partial n} = \\lim_{h \\to 0} \\frac{\\log(n + h) - \\log(n)}{h}\n\\mathbb{E}[i] = \\int x f_i(x) dx + \\frac{t}{z^2}",
    "images": [],
    "tables": [],
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    "header": null,
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            {
                "text": "##",
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                "start_index": 0
            },
            {
                "text": "ุจุฑู‡ุงู†",
                "confidence": 1.0,
                "start_index": 3
            },
            {
                "text": "ุจู‚ุชุงู„ู‡ู…",
                "confidence": 1.0,
                "start_index": 9
            },
            {
                "text": "ุจู‚ูˆู„ู‡:",
                "confidence": 1.0,
                "start_index": 17
            },
            {
                "text": "{ู‚ุงุชูู„ููˆุง",
                "confidence": 1.0,
                "start_index": 24
            },
            {
                "text": "ุงู„ู‘ูŽุฐููŠู†ูŽ",
                "confidence": 1.0,
                "start_index": 34
            },
            {
                "text": "ู„ุง",
                "confidence": 1.0,
                "start_index": 44
            },
            {
                "text": "ูŠูุคู’ู…ูู†ููˆู†ูŽ",
                "confidence": 1.0,
                "start_index": 47
            },
            {
                "text": "ุจูุงู„ู„ู‡ู",
                "confidence": 1.0,
                "start_index": 59
            },
            {
                "text": "ูˆูŽู„ุง",
                "confidence": 1.0,
                "start_index": 67
            },
            {
                "text": "ุจูุงู„ู’ูŠูŽูˆู’ู…ู",
                "confidence": 1.0,
                "start_index": 72
            },
            {
                "text": "ุงู„ู’ุขุฎูุฑู.}.",
                "confidence": 1.0,
                "start_index": 84
            },
            {
                "text": "ุงู„ุขูŠุฉุŒ",
                "confidence": 1.0,
                "start_index": 96
            },
            {
                "text": "\\int_{0}^{100}",
                "confidence": 1.0,
                "start_index": 103
            },
            {
                "text": "\\log(\\sigma)",
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                "start_index": 118
            },
            {
                "text": "\\,",
                "confidence": 1.0,
                "start_index": 131
            },
            {
                "text": "d\\sigma",
                "confidence": 1.0,
                "start_index": 134
            },
            {
                "text": "=",
                "confidence": 1.0,
                "start_index": 142
            },
            {
                "text": "x^2",
                "confidence": 1.0,
                "start_index": 144
            },
            {
                "text": "\\cdot",
                "confidence": 1.0,
                "start_index": 148
            },
            {
                "text": "C",
                "confidence": 1.0,
                "start_index": 154
            },
            {
                "text": "+",
                "confidence": 1.0,
                "start_index": 156
            },
            {
                "text": "\\frac{\\beta}{\\beta^2}",
                "confidence": 1.0,
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            },
            {
                "text": "##",
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                "start_index": 180
            },
            {
                "text": "ุชุนุฑูŠู",
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            },
            {
                "text": "ุฅู„ู‰",
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                "start_index": 189
            },
            {
                "text": "ู‚ูˆู„ู‡:",
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            {
                "text": "{ูˆูŽู‡ูู…ู’",
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                "start_index": 199
            },
            {
                "text": "ุตุงุบูุฑููˆู†ูŽ}",
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                "start_index": 207
            },
            {
                "text": "(1)",
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                "start_index": 218
            },
            {
                "text": "ูˆุบูŠุฑ",
                "confidence": 1.0,
                "start_index": 222
            },
            {
                "text": "ุฐู„ูƒ",
                "confidence": 1.0,
                "start_index": 227
            },
            {
                "text": "ู…ู†",
                "confidence": 1.0,
                "start_index": 231
            },
            {
                "text": "ุงู„ุขูŠุงุชุŒ",
                "confidence": 1.0,
                "start_index": 234
            },
            {
                "text": "ูู‚ุชู„ูˆุง",
                "confidence": 1.0,
                "start_index": 242
            },
            {
                "text": "ุจู†ูŠ",
                "confidence": 1.0,
                "start_index": 249
            },
            {
                "text": "ู‚ุฑูŠุธุฉุ›",
                "confidence": 1.0,
                "start_index": 253
            },
            {
                "text": "ูˆุฃุฌู„ูˆุง",
                "confidence": 1.0,
                "start_index": 260
            },
            {
                "text": "ุจู†ูŠ",
                "confidence": 1.0,
                "start_index": 267
            },
            {
                "text": "ุงู„ู†ุถูŠุฑ.",
                "confidence": 1.0,
                "start_index": 271
            },
            {
                "text": "ูˆู‚ูŠู„:",
                "confidence": 1.0,
                "start_index": 279
            },
            {
                "text": "ู…ุนู†ุงู‡:",
                "confidence": 1.0,
                "start_index": 285
            },
            {
                "text": "{(ุญูŽุชู‘ู‰",
                "confidence": 1.0,
                "start_index": 292
            },
            {
                "text": "ูŠูŽุฃู’ุชููŠูŽ",
                "confidence": 1.0,
                "start_index": 300
            },
            {
                "text": "ุงู„ู„ู‡ู",
                "confidence": 1.0,
                "start_index": 309
            },
            {
                "text": "ุจูุฃูŽู…ู’ุฑูู‡ู)}:ู‚ูŠุงู…",
                "confidence": 1.0,
                "start_index": 315
            },
            {
                "text": "ุงู„ุณุงุนุฉ",
                "confidence": 1.0,
                "start_index": 333
            },
            {
                "text": "ูˆูŠุฌุงุฒูŠู‡ู…",
                "confidence": 1.0,
                "start_index": 340
            },
            {
                "text": "ุจุฃุนู…ุงู„ู‡ู….",
                "confidence": 1.0,
                "start_index": 349
            },
            {
                "text": "{ุฅูู†ู‘ูŽ",
                "confidence": 1.0,
                "start_index": 359
            },
            {
                "text": "ุงู„ู„ู‡ูŽ",
                "confidence": 1.0,
                "start_index": 366
            },
            {
                "text": "ุนูŽู„ู‰",
                "confidence": 1.0,
                "start_index": 372
            },
            {
                "text": "ูƒูู„ู‘ู",
                "confidence": 1.0,
                "start_index": 377
            },
            {
                "text": "\\frac{\\partial",
                "confidence": 1.0,
                "start_index": 383
            },
            {
                "text": "j}{\\partial",
                "confidence": 1.0,
                "start_index": 398
            },
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                "text": "n}",
                "confidence": 1.0,
                "start_index": 410
            },
            {
                "text": "=",
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                "start_index": 413
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                "text": "\\lim_{h",
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                "start_index": 415
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            {
                "text": "\\to",
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                "start_index": 423
            },
            {
                "text": "0}",
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                "start_index": 427
            },
            {
                "text": "\\frac{\\log(n",
                "confidence": 1.0,
                "start_index": 430
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                "text": "+",
                "confidence": 1.0,
                "start_index": 443
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                "text": "h)",
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                "start_index": 445
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                "text": "-",
                "confidence": 1.0,
                "start_index": 448
            },
            {
                "text": "\\log(n)}{h}",
                "confidence": 1.0,
                "start_index": 450
            },
            {
                "text": "\\mathbb{E}[i]",
                "confidence": 1.0,
                "start_index": 462
            },
            {
                "text": "=",
                "confidence": 1.0,
                "start_index": 476
            },
            {
                "text": "\\int",
                "confidence": 1.0,
                "start_index": 478
            },
            {
                "text": "x",
                "confidence": 1.0,
                "start_index": 483
            },
            {
                "text": "f_i(x)",
                "confidence": 1.0,
                "start_index": 485
            },
            {
                "text": "dx",
                "confidence": 1.0,
                "start_index": 492
            },
            {
                "text": "+",
                "confidence": 1.0,
                "start_index": 495
            },
            {
                "text": "\\frac{t}{z^2}",
                "confidence": 1.0,
                "start_index": 497
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        "average_page_confidence_score": 1.0,
        "minimum_page_confidence_score": 1.0
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    "blocks": [
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            "content": "ุจู‚ุชุงู„ู‡ู… ุจู‚ูˆู„ู‡: {ู‚ุงุชูู„ููˆุง ุงู„ู‘ูŽุฐููŠู†ูŽ ู„ุง ูŠูุคู’ู…ูู†ููˆู†ูŽ ุจูุงู„ู„ู‡ู ูˆูŽู„ุง ุจูุงู„ู’ูŠูŽูˆู’ู…ู ุงู„ู’ุขุฎูุฑู.}. ุงู„ุขูŠุฉุŒ",
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        },
        {
            "top_left_x": 32,
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            "content": "\\int_{0}^{100} \\log(\\sigma) \\, d\\sigma = x^2 \\cdot C + \\frac{\\beta}{\\beta^2}",
            "type": "text",
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        },
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            "top_left_x": 32,
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            "content": "ุฅู„ู‰ ู‚ูˆู„ู‡: {ูˆูŽู‡ูู…ู’ ุตุงุบูุฑููˆู†ูŽ} (1) ูˆุบูŠุฑ ุฐู„ูƒ ู…ู† ุงู„ุขูŠุงุชุŒ ูู‚ุชู„ูˆุง ุจู†ูŠ ู‚ุฑูŠุธุฉุ› ูˆุฃุฌู„ูˆุง ุจู†ูŠ ุงู„ู†ุถูŠุฑ. ูˆู‚ูŠู„: ู…ุนู†ุงู‡: {(ุญูŽุชู‘ู‰ ูŠูŽุฃู’ุชููŠูŽ ุงู„ู„ู‡ู ุจูุฃูŽู…ู’ุฑูู‡ู)}:ู‚ูŠุงู… ุงู„ุณุงุนุฉ ูˆูŠุฌุงุฒูŠู‡ู… ุจุฃุนู…ุงู„ู‡ู…. {ุฅูู†ู‘ูŽ ุงู„ู„ู‡ูŽ ุนูŽู„ู‰ ูƒูู„ู‘ู",
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        },
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            "top_left_x": 32,
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            "bottom_right_x": 517,
            "bottom_right_y": 310,
            "content": "\\frac{\\partial j}{\\partial n} = \\lim_{h \\to 0} \\frac{\\log(n + h) - \\log(n)}{h}",
            "type": "text",
            "confidence_scores": null,
            "reading_index": 6
        },
        {
            "top_left_x": 20,
            "top_left_y": 342,
            "bottom_right_x": 533,
            "bottom_right_y": 396,
            "content": "\\mathbb{E}[i] = \\int x f_i(x) dx + \\frac{t}{z^2}",
            "type": "text",
            "confidence_scores": null,
            "reading_index": 7
        }
    ],
    "meta": {
        "template": "math_proof",
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        "page_font": "bahij-palatino-arabic.ttf",
        "title_font": "sf-nizar.otf",
        "language": "ar",
        "script": "arabic",
        "direction": "rtl",
        "augmentation": null
    }
}