dataset / data /run_test_2_002 /annotations /sample_0000210.json
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{
"markdown": "\\prod_{\\mu=1}^{n} (1 \\times z_\\mu) = 0 + \\frac{\\theta}{\\lambda^2}\n\\frac{\\partial i}{\\partial \\beta} = \\lim_{h \\to 0} \\frac{\\sin(\\beta + h) - \\sin(\\beta)}{h}\nP(A|B) = \\frac{P(A \\cap B)}{P(B)}\n## ุจุฑู‡ุงู†\nู†ุดูŠุท ุงู„ู…ุฎุฒูˆู…ูŠุŒ ู…ูˆู„ุงู‡ู…ุŒ ุฃุจูˆ ุงู„ุญุณู†ุŒ ุงู„ูƒููˆูููŠู‘ุŒ ุซู… ุงู„ู…ุตุฑูŠุŒ ุงู„ู…ุนุฑูˆู ุจุนู„ุงู† . โ€ข ู‚ุงู„ ุงู„ุณู‘ูู„ูŽู…ููŠู‘ู: ู‚ุงู„ ุงู„ุฏู‘ูŽุงุฑูŽู‚ูุทู’ู†ููŠู‘: ุนุจุฏ ุงู„ู„ู‡ ุจู† ู…ุญู…ุฏ ุจู† ุงู„ู…ุบูŠุฑุฉุŒ ูˆู„ู‡ ุฃุฎ ูŠู‚ุงู„ ู„ู‡ ุนุจุฏ ุงู„ุฑุญู…ู† ุญุฏุซ ุนู†ู‡ ุณุนูŠุฏ ุจู† ู…ู†ุตูˆุฑุŒ ูˆู„ุนุจุฏ ุงู„ุฑุญู…ู† ุงุจู† ูŠู‚ุงู„ ู„ู‡ ุนู„ูŠ ุจู† ุนุจุฏ ุงู„ุฑุญู…ู†ุŒ ูŠู„ู‚ุจ ุจุนู„ุงู†ุŒ ุญุฏุซ ุนู†ู‡ ุฃุจูˆ ุจูƒุฑ ุงู„ู†ูŠุณุงุจูˆุฑูŠ ูˆุงุจู† ุตุงุนุฏ ูˆุบูŠุฑู‡ู…ุงุŒ ูˆุญู…ุฒุฉ\n\\frac{\\partial n}{\\partial t} = \\lim_{h \\to 0} \\frac{\\exp(t + h) - \\exp(t)}{h}\n## ุจุฑู‡ุงู†\nุจู† ุงู„ู…ุบูŠุฑุฉ ุนู…ู‡ู…ุง. (251) .\n\\sum_{i=0}^{\\infty} \\frac{\\beta^i}{i!} = e^{\\beta} + \\frac{t}{i^2}\n\\iint_{D} y^2 = \\beta^2 \\, dx \\, dy\n\\vec{F} = m\\vec{a}\n## ู…ู„ุงุญุธุฉ\nูˆูู‰ ู‚ุตุฉ ู…ุชุธู„ู…: ยซูˆูŽุณูŽูŠูŽุนู’ู„ูŽู…ู ุงู„ู‘ูŽุฐููŠู†ูŽ ุธูŽู„ูŽู…ููˆุง ุฃูŽูŠู‘ูŽ ู…ูู†ู’ู‚ูŽู„ูŽุจู ูŠูŽู†ู’ู‚ูŽู„ูุจููˆู†ูŽยป. ูˆูู‰ ู‚ุตุฉ ู…ุชุธู„ู… ุดูƒุง ุจุนุถ ุฃู‡ู„ ุจูŠุชู‡: ยซู…ุง ูƒุงู† ุนู„ูŠูƒ ู„ูˆ ุตูุญุช\n\\mathbb{E}[\\theta] = \\int x f_\\theta(x) dx\n## ุจุฑู‡ุงู†\nุนู†ู‡ ูˆุงุณุชูˆุตู„ุชู†ู‰ (1)ุŸ ยป. โ€Œ โ€Œู‡ุดุงู… ุจู† ุนุจุฏ ุงู„ู…ู„ูƒ ูˆูˆู‚ุน ู‡ุดุงู… ุจู† ุนุจุฏ ุงู„ู…ู„ูƒ ูู‰ ู‚ุตุฉ ู…ุชุธู„ู…: ยซุฃุชุงูƒ ุงู„ุบูˆุซ ุฅู† ูƒู†ุช ุตุงุฏู‚ุงุŒ ูˆุญู„ ุจูƒ ุงู„ู†ู‘ูƒุงู„ ุฅู† ูƒู†ุช ูƒุงุฐุจุงุŒ ูุชู‚ุฏู‘ู… ุฃูˆ ุชุฃุฎู‘ุฑยป. ูˆูู‰ ู‚ุตุฉ ู‚ูˆู… ุดูƒูˆุง ุฃู…ูŠุฑู‡ู…: ยซุฅู† ุตุญู‘ ู…ุง ุงุฏุนูŠุชู… ุนู„ูŠู‡ ุนุฒู„ู†ุงู‡ ูˆุนุงู‚ุจู†ุงู‡ยป. ยซูˆุฅู„ู‰ ุตุงุญุจ ุฎุฑุงุณุงู† ุญูŠู† ุฃู…ุฑู‡ ุจู…ุญุงุฑุจุฉ ุงู„ุชุฑูƒ: ยซุงุญุฐุฑ ู„ูŠุงู„ู‰ ุงู„ุจูŠุงุช (2)ยป. ูˆุฅู„ู‰ ุตุงุญุจ ุงู„ู…ุฏูŠู†ุฉุŒ ูˆูƒุชุจ\n\\prod_{\\theta=1}^{n} (1 \\geq k_\\theta) = 0 + \\frac{i}{k^2}",
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