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{
    "markdown": "P(A|B) = \\frac{P(A \\cap B)}{P(B)}\n## ู…ุจุฑู‡ู†ุฉ\nุจู‡ุŒ ูˆู„ู‡ุฐุง ูƒุงู† ู…ุง ุฐู‡ุจ ุฅู„ูŠู‡ ุงู„ู…ุตู†ู ุชูƒู„ูุง ูˆุชุทู„ุจุง ู„ู…ุง ู„ุง ูŠู‚ุตุฏ ูู‰ ุงู„ุงุณุชุนู…ุงู„ ูˆู„ุง ูŠุชุนู„ู‚ ุจู‡\n\\mathbb{E}[\\beta] = \\int x f_\\beta(x) dx\n## ู†ุธุฑูŠุฉ\nุงู„ุบุฑุถ ูู‰ ุงู„ุชุฑุงูƒูŠุจ- ูุชุฃู…ู„ ุฐู„ูƒ ูุฅู†ู‡ ุตุนุจ ูู‡ู…ู‡ ุนู„ู‰ ูƒุซูŠุฑ. ุงู‡ู€ ูƒู„ุงู…ู‡. (ู‚ูˆู„ู‡: ูˆุฅู„ุง ููŠู…ูƒู† ุชู‚ุฏูŠุฑู‡) ุงู„ุฃูˆู„ู‰ ุฃู† ูŠู‚ูˆู„:\n\\vec{F} = m\\vec{a} + \\frac{i}{\\sigma^2}",
    "images": [],
    "tables": [],
    "hyperlinks": [],
    "header": null,
    "footer": null,
    "dimensions": {
        "dpi": 96,
        "height": 446,
        "width": 532
    },
    "confidence_scores": {
        "word_confidence_scores": [
            {
                "text": "P(A|B)",
                "confidence": 1.0,
                "start_index": 0
            },
            {
                "text": "=",
                "confidence": 1.0,
                "start_index": 7
            },
            {
                "text": "\\frac{P(A",
                "confidence": 1.0,
                "start_index": 9
            },
            {
                "text": "\\cap",
                "confidence": 1.0,
                "start_index": 19
            },
            {
                "text": "B)}{P(B)}",
                "confidence": 1.0,
                "start_index": 24
            },
            {
                "text": "##",
                "confidence": 1.0,
                "start_index": 34
            },
            {
                "text": "ู…ุจุฑู‡ู†ุฉ",
                "confidence": 1.0,
                "start_index": 37
            },
            {
                "text": "ุจู‡ุŒ",
                "confidence": 1.0,
                "start_index": 44
            },
            {
                "text": "ูˆู„ู‡ุฐุง",
                "confidence": 1.0,
                "start_index": 48
            },
            {
                "text": "ูƒุงู†",
                "confidence": 1.0,
                "start_index": 54
            },
            {
                "text": "ู…ุง",
                "confidence": 1.0,
                "start_index": 58
            },
            {
                "text": "ุฐู‡ุจ",
                "confidence": 1.0,
                "start_index": 61
            },
            {
                "text": "ุฅู„ูŠู‡",
                "confidence": 1.0,
                "start_index": 65
            },
            {
                "text": "ุงู„ู…ุตู†ู",
                "confidence": 1.0,
                "start_index": 70
            },
            {
                "text": "ุชูƒู„ูุง",
                "confidence": 1.0,
                "start_index": 77
            },
            {
                "text": "ูˆุชุทู„ุจุง",
                "confidence": 1.0,
                "start_index": 83
            },
            {
                "text": "ู„ู…ุง",
                "confidence": 1.0,
                "start_index": 90
            },
            {
                "text": "ู„ุง",
                "confidence": 1.0,
                "start_index": 94
            },
            {
                "text": "ูŠู‚ุตุฏ",
                "confidence": 1.0,
                "start_index": 97
            },
            {
                "text": "ูู‰",
                "confidence": 1.0,
                "start_index": 102
            },
            {
                "text": "ุงู„ุงุณุชุนู…ุงู„",
                "confidence": 1.0,
                "start_index": 105
            },
            {
                "text": "ูˆู„ุง",
                "confidence": 1.0,
                "start_index": 115
            },
            {
                "text": "ูŠุชุนู„ู‚",
                "confidence": 1.0,
                "start_index": 119
            },
            {
                "text": "ุจู‡",
                "confidence": 1.0,
                "start_index": 125
            },
            {
                "text": "\\mathbb{E}[\\beta]",
                "confidence": 1.0,
                "start_index": 128
            },
            {
                "text": "=",
                "confidence": 1.0,
                "start_index": 146
            },
            {
                "text": "\\int",
                "confidence": 1.0,
                "start_index": 148
            },
            {
                "text": "x",
                "confidence": 1.0,
                "start_index": 153
            },
            {
                "text": "f_\\beta(x)",
                "confidence": 1.0,
                "start_index": 155
            },
            {
                "text": "dx",
                "confidence": 1.0,
                "start_index": 166
            },
            {
                "text": "##",
                "confidence": 1.0,
                "start_index": 169
            },
            {
                "text": "ู†ุธุฑูŠุฉ",
                "confidence": 1.0,
                "start_index": 172
            },
            {
                "text": "ุงู„ุบุฑุถ",
                "confidence": 1.0,
                "start_index": 178
            },
            {
                "text": "ูู‰",
                "confidence": 1.0,
                "start_index": 184
            },
            {
                "text": "ุงู„ุชุฑุงูƒูŠุจ-",
                "confidence": 1.0,
                "start_index": 187
            },
            {
                "text": "ูุชุฃู…ู„",
                "confidence": 1.0,
                "start_index": 197
            },
            {
                "text": "ุฐู„ูƒ",
                "confidence": 1.0,
                "start_index": 203
            },
            {
                "text": "ูุฅู†ู‡",
                "confidence": 1.0,
                "start_index": 207
            },
            {
                "text": "ุตุนุจ",
                "confidence": 1.0,
                "start_index": 212
            },
            {
                "text": "ูู‡ู…ู‡",
                "confidence": 1.0,
                "start_index": 216
            },
            {
                "text": "ุนู„ู‰",
                "confidence": 1.0,
                "start_index": 221
            },
            {
                "text": "ูƒุซูŠุฑ.",
                "confidence": 1.0,
                "start_index": 225
            },
            {
                "text": "ุงู‡ู€",
                "confidence": 1.0,
                "start_index": 231
            },
            {
                "text": "ูƒู„ุงู…ู‡.",
                "confidence": 1.0,
                "start_index": 235
            },
            {
                "text": "(ู‚ูˆู„ู‡:",
                "confidence": 1.0,
                "start_index": 242
            },
            {
                "text": "ูˆุฅู„ุง",
                "confidence": 1.0,
                "start_index": 249
            },
            {
                "text": "ููŠู…ูƒู†",
                "confidence": 1.0,
                "start_index": 254
            },
            {
                "text": "ุชู‚ุฏูŠุฑู‡)",
                "confidence": 1.0,
                "start_index": 260
            },
            {
                "text": "ุงู„ุฃูˆู„ู‰",
                "confidence": 1.0,
                "start_index": 268
            },
            {
                "text": "ุฃู†",
                "confidence": 1.0,
                "start_index": 275
            },
            {
                "text": "ูŠู‚ูˆู„:",
                "confidence": 1.0,
                "start_index": 278
            },
            {
                "text": "\\vec{F}",
                "confidence": 1.0,
                "start_index": 284
            },
            {
                "text": "=",
                "confidence": 1.0,
                "start_index": 292
            },
            {
                "text": "m\\vec{a}",
                "confidence": 1.0,
                "start_index": 294
            },
            {
                "text": "+",
                "confidence": 1.0,
                "start_index": 303
            },
            {
                "text": "\\frac{i}{\\sigma^2}",
                "confidence": 1.0,
                "start_index": 305
            }
        ],
        "average_page_confidence_score": 1.0,
        "minimum_page_confidence_score": 1.0
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    "blocks": [
        {
            "top_left_x": 20,
            "top_left_y": 26,
            "bottom_right_x": 512,
            "bottom_right_y": 86,
            "content": "P(A|B) = \\frac{P(A \\cap B)}{P(B)}",
            "type": "text",
            "confidence_scores": null,
            "reading_index": 1
        },
        {
            "top_left_x": 32,
            "top_left_y": 104,
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            "content": "ู…ุจุฑู‡ู†ุฉ",
            "type": "title",
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        },
        {
            "top_left_x": 32,
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            "bottom_right_x": 496,
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            "content": "ุจู‡ุŒ ูˆู„ู‡ุฐุง ูƒุงู† ู…ุง ุฐู‡ุจ ุฅู„ูŠู‡ ุงู„ู…ุตู†ู ุชูƒู„ูุง ูˆุชุทู„ุจุง ู„ู…ุง ู„ุง ูŠู‚ุตุฏ ูู‰ ุงู„ุงุณุชุนู…ุงู„ ูˆู„ุง ูŠุชุนู„ู‚ ุจู‡",
            "type": "text",
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        },
        {
            "top_left_x": 32,
            "top_left_y": 165,
            "bottom_right_x": 496,
            "bottom_right_y": 219,
            "content": "\\mathbb{E}[\\beta] = \\int x f_\\beta(x) dx",
            "type": "text",
            "confidence_scores": null,
            "reading_index": 4
        },
        {
            "top_left_x": 32,
            "top_left_y": 263,
            "bottom_right_x": 496,
            "bottom_right_y": 290,
            "content": "ู†ุธุฑูŠุฉ",
            "type": "title",
            "confidence_scores": null,
            "reading_index": 5
        },
        {
            "top_left_x": 32,
            "top_left_y": 295,
            "bottom_right_x": 496,
            "bottom_right_y": 317,
            "content": "ุงู„ุบุฑุถ ูู‰ ุงู„ุชุฑุงูƒูŠุจ- ูุชุฃู…ู„ ุฐู„ูƒ ูุฅู†ู‡ ุตุนุจ ูู‡ู…ู‡ ุนู„ู‰ ูƒุซูŠุฑ. ุงู‡ู€ ูƒู„ุงู…ู‡. (ู‚ูˆู„ู‡: ูˆุฅู„ุง ููŠู…ูƒู† ุชู‚ุฏูŠุฑู‡) ุงู„ุฃูˆู„ู‰ ุฃู† ูŠู‚ูˆู„:",
            "type": "text",
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        },
        {
            "top_left_x": 32,
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            "bottom_right_x": 496,
            "bottom_right_y": 374,
            "content": "\\vec{F} = m\\vec{a} + \\frac{i}{\\sigma^2}",
            "type": "text",
            "confidence_scores": null,
            "reading_index": 7
        }
    ],
    "meta": {
        "template": "math_proof",
        "hybrid": null,
        "page_font": "bfantezy.ttf",
        "title_font": "shafigh-bakh-thin-mob-v2.ttf",
        "language": "ar",
        "script": "arabic",
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}