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{
    "markdown": "P(A|B) = \\frac{P(A \\cap B)}{P(B)} + \\frac{\\beta}{x^2}\n## ุจุฑู‡ุงู†\nูˆุฃูƒุซุฑู‡ู… ุงู„ุฌู„ุงู„ู‚ุฉ. ูˆูƒุงู† ุงู„ู‚ูˆุท ู‚ุฏ ุชู…ู„ูƒูˆู‡ ูˆุบู„ุจูˆุง ุนู„ู‰ ุฃู…ุฑู‡ ู„ู…ุฆูŠู† ู…ู† ุงู„ุณู†ูŠู† ู‚ุจู„ ุงู„ุฅุณู„ุงู… ุจุนุฏ ุญุฑูˆุจ ูƒุงู†ุช ู„ู‡ู… ู…ุน ุงู„ู„ุทูŠู†ูŠูŠู† ุญุงุตุฑูˆุง ููŠู‡ุง ุฑูˆู…ุฉ. ุซู… ุนู‚ุฏูˆุง ู…ุนู‡ู… ุงู„ุณู„ู… ุนู„ู‰ ุฃู†\n\\sum_{i=0}^{100} \\frac{\\mu^i}{i!} = e^{\\mu}\n## ุชุนุฑูŠู\nุชู†ุตุฑู ุงู„ู‚ูˆุท ุฅู„ู‰ ุงู„ุฃู†ุฏู„ุณุŒ ูุณุงุฑูˆุง ุฅู„ูŠู‡ุง ูˆู…ู„ูƒูˆู‡ุง. ูˆู„ู…ุง ุฃุฎุฐ ุงู„ุฑูˆู… ูˆุงู„ู„ุทูŠู†ูŠูˆู† ู„ุจุณู„ุฉ [1] ุงู„ู†ุตุฑุงู†ูŠุฉ ุญู…ู„ูˆุง ู…ู† ูˆุฑุงุกู‡ู… ุจุงู„ู…ุบุฑุจ ู…ู†\n\\int_{2}^{M} \\exp(y) \\, dy = \\alpha^2 + C\n## ุจุฑู‡ุงู†\nุฃู‡ู„ ุฅูุฑู†ุฌุฉ ูˆุงู„ู‚ูˆุท ุนู„ูŠู‡ุง ูุฏุงู†ูˆุง ุจู‡ุง ูˆูƒุงู† ู…ู„ูˆูƒ ุงู„ู‚ูˆุท ูŠู†ุฒู„ูˆู† ุทู„ูŠุทู„ุฉ ูˆูƒุงู†ุช ุฏุงุฑ ู…ู„ูƒู‡ู…. ูˆุฑุจู…ุง ุงู†ุชู‚ู„ูˆุง ู…ุง ุจูŠู†ู‡ุงุŒ ูˆุจูŠู† ู‚ุฑุทุจุฉ\nP(A|B) = \\frac{P(A \\cap B)}{P(B)}",
    "images": [],
    "tables": [],
    "hyperlinks": [],
    "header": null,
    "footer": null,
    "dimensions": {
        "dpi": 96,
        "height": 674,
        "width": 521
    },
    "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": "+",
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                "start_index": 34
            },
            {
                "text": "\\frac{\\beta}{x^2}",
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            },
            {
                "text": "##",
                "confidence": 1.0,
                "start_index": 54
            },
            {
                "text": "ุจุฑู‡ุงู†",
                "confidence": 1.0,
                "start_index": 57
            },
            {
                "text": "ูˆุฃูƒุซุฑู‡ู…",
                "confidence": 1.0,
                "start_index": 63
            },
            {
                "text": "ุงู„ุฌู„ุงู„ู‚ุฉ.",
                "confidence": 1.0,
                "start_index": 71
            },
            {
                "text": "ูˆูƒุงู†",
                "confidence": 1.0,
                "start_index": 81
            },
            {
                "text": "ุงู„ู‚ูˆุท",
                "confidence": 1.0,
                "start_index": 86
            },
            {
                "text": "ู‚ุฏ",
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            {
                "text": "ุชู…ู„ูƒูˆู‡",
                "confidence": 1.0,
                "start_index": 95
            },
            {
                "text": "ูˆุบู„ุจูˆุง",
                "confidence": 1.0,
                "start_index": 102
            },
            {
                "text": "ุนู„ู‰",
                "confidence": 1.0,
                "start_index": 109
            },
            {
                "text": "ุฃู…ุฑู‡",
                "confidence": 1.0,
                "start_index": 113
            },
            {
                "text": "ู„ู…ุฆูŠู†",
                "confidence": 1.0,
                "start_index": 118
            },
            {
                "text": "ู…ู†",
                "confidence": 1.0,
                "start_index": 124
            },
            {
                "text": "ุงู„ุณู†ูŠู†",
                "confidence": 1.0,
                "start_index": 127
            },
            {
                "text": "ู‚ุจู„",
                "confidence": 1.0,
                "start_index": 134
            },
            {
                "text": "ุงู„ุฅุณู„ุงู…",
                "confidence": 1.0,
                "start_index": 138
            },
            {
                "text": "ุจุนุฏ",
                "confidence": 1.0,
                "start_index": 146
            },
            {
                "text": "ุญุฑูˆุจ",
                "confidence": 1.0,
                "start_index": 150
            },
            {
                "text": "ูƒุงู†ุช",
                "confidence": 1.0,
                "start_index": 155
            },
            {
                "text": "ู„ู‡ู…",
                "confidence": 1.0,
                "start_index": 160
            },
            {
                "text": "ู…ุน",
                "confidence": 1.0,
                "start_index": 164
            },
            {
                "text": "ุงู„ู„ุทูŠู†ูŠูŠู†",
                "confidence": 1.0,
                "start_index": 167
            },
            {
                "text": "ุญุงุตุฑูˆุง",
                "confidence": 1.0,
                "start_index": 177
            },
            {
                "text": "ููŠู‡ุง",
                "confidence": 1.0,
                "start_index": 184
            },
            {
                "text": "ุฑูˆู…ุฉ.",
                "confidence": 1.0,
                "start_index": 189
            },
            {
                "text": "ุซู…",
                "confidence": 1.0,
                "start_index": 195
            },
            {
                "text": "ุนู‚ุฏูˆุง",
                "confidence": 1.0,
                "start_index": 198
            },
            {
                "text": "ู…ุนู‡ู…",
                "confidence": 1.0,
                "start_index": 204
            },
            {
                "text": "ุงู„ุณู„ู…",
                "confidence": 1.0,
                "start_index": 209
            },
            {
                "text": "ุนู„ู‰",
                "confidence": 1.0,
                "start_index": 215
            },
            {
                "text": "ุฃู†",
                "confidence": 1.0,
                "start_index": 219
            },
            {
                "text": "\\sum_{i=0}^{100}",
                "confidence": 1.0,
                "start_index": 222
            },
            {
                "text": "\\frac{\\mu^i}{i!}",
                "confidence": 1.0,
                "start_index": 239
            },
            {
                "text": "=",
                "confidence": 1.0,
                "start_index": 256
            },
            {
                "text": "e^{\\mu}",
                "confidence": 1.0,
                "start_index": 258
            },
            {
                "text": "##",
                "confidence": 1.0,
                "start_index": 266
            },
            {
                "text": "ุชุนุฑูŠู",
                "confidence": 1.0,
                "start_index": 269
            },
            {
                "text": "ุชู†ุตุฑู",
                "confidence": 1.0,
                "start_index": 275
            },
            {
                "text": "ุงู„ู‚ูˆุท",
                "confidence": 1.0,
                "start_index": 281
            },
            {
                "text": "ุฅู„ู‰",
                "confidence": 1.0,
                "start_index": 287
            },
            {
                "text": "ุงู„ุฃู†ุฏู„ุณุŒ",
                "confidence": 1.0,
                "start_index": 291
            },
            {
                "text": "ูุณุงุฑูˆุง",
                "confidence": 1.0,
                "start_index": 300
            },
            {
                "text": "ุฅู„ูŠู‡ุง",
                "confidence": 1.0,
                "start_index": 307
            },
            {
                "text": "ูˆู…ู„ูƒูˆู‡ุง.",
                "confidence": 1.0,
                "start_index": 313
            },
            {
                "text": "ูˆู„ู…ุง",
                "confidence": 1.0,
                "start_index": 322
            },
            {
                "text": "ุฃุฎุฐ",
                "confidence": 1.0,
                "start_index": 327
            },
            {
                "text": "ุงู„ุฑูˆู…",
                "confidence": 1.0,
                "start_index": 331
            },
            {
                "text": "ูˆุงู„ู„ุทูŠู†ูŠูˆู†",
                "confidence": 1.0,
                "start_index": 337
            },
            {
                "text": "ู„ุจุณู„ุฉ",
                "confidence": 1.0,
                "start_index": 348
            },
            {
                "text": "[1]",
                "confidence": 1.0,
                "start_index": 354
            },
            {
                "text": "ุงู„ู†ุตุฑุงู†ูŠุฉ",
                "confidence": 1.0,
                "start_index": 358
            },
            {
                "text": "ุญู…ู„ูˆุง",
                "confidence": 1.0,
                "start_index": 368
            },
            {
                "text": "ู…ู†",
                "confidence": 1.0,
                "start_index": 374
            },
            {
                "text": "ูˆุฑุงุกู‡ู…",
                "confidence": 1.0,
                "start_index": 377
            },
            {
                "text": "ุจุงู„ู…ุบุฑุจ",
                "confidence": 1.0,
                "start_index": 384
            },
            {
                "text": "ู…ู†",
                "confidence": 1.0,
                "start_index": 392
            },
            {
                "text": "\\int_{2}^{M}",
                "confidence": 1.0,
                "start_index": 395
            },
            {
                "text": "\\exp(y)",
                "confidence": 1.0,
                "start_index": 408
            },
            {
                "text": "\\,",
                "confidence": 1.0,
                "start_index": 416
            },
            {
                "text": "dy",
                "confidence": 1.0,
                "start_index": 419
            },
            {
                "text": "=",
                "confidence": 1.0,
                "start_index": 422
            },
            {
                "text": "\\alpha^2",
                "confidence": 1.0,
                "start_index": 424
            },
            {
                "text": "+",
                "confidence": 1.0,
                "start_index": 433
            },
            {
                "text": "C",
                "confidence": 1.0,
                "start_index": 435
            },
            {
                "text": "##",
                "confidence": 1.0,
                "start_index": 437
            },
            {
                "text": "ุจุฑู‡ุงู†",
                "confidence": 1.0,
                "start_index": 440
            },
            {
                "text": "ุฃู‡ู„",
                "confidence": 1.0,
                "start_index": 446
            },
            {
                "text": "ุฅูุฑู†ุฌุฉ",
                "confidence": 1.0,
                "start_index": 450
            },
            {
                "text": "ูˆุงู„ู‚ูˆุท",
                "confidence": 1.0,
                "start_index": 457
            },
            {
                "text": "ุนู„ูŠู‡ุง",
                "confidence": 1.0,
                "start_index": 464
            },
            {
                "text": "ูุฏุงู†ูˆุง",
                "confidence": 1.0,
                "start_index": 470
            },
            {
                "text": "ุจู‡ุง",
                "confidence": 1.0,
                "start_index": 477
            },
            {
                "text": "ูˆูƒุงู†",
                "confidence": 1.0,
                "start_index": 481
            },
            {
                "text": "ู…ู„ูˆูƒ",
                "confidence": 1.0,
                "start_index": 486
            },
            {
                "text": "ุงู„ู‚ูˆุท",
                "confidence": 1.0,
                "start_index": 491
            },
            {
                "text": "ูŠู†ุฒู„ูˆู†",
                "confidence": 1.0,
                "start_index": 497
            },
            {
                "text": "ุทู„ูŠุทู„ุฉ",
                "confidence": 1.0,
                "start_index": 504
            },
            {
                "text": "ูˆูƒุงู†ุช",
                "confidence": 1.0,
                "start_index": 511
            },
            {
                "text": "ุฏุงุฑ",
                "confidence": 1.0,
                "start_index": 517
            },
            {
                "text": "ู…ู„ูƒู‡ู….",
                "confidence": 1.0,
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                "text": "ุงู†ุชู‚ู„ูˆุง",
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                "text": "P(A|B)",
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                "text": "\\frac{P(A",
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                "text": "B)}{P(B)}",
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