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"markdown": "## ู…ู„ุงุญุธุฉ\nูˆู„ูŠุคู…ู‡ู… ุฑุฌู„ูŒ ู…ู†ู‡ู…\"ุ› ุฃูŠ: ู…ู† ุงู„ู‚ูˆู…ุ› ูŠุนู†ูŠ: ุตุงุญุจ ุงู„ุจูŠุช ุฃูˆู„ู‰ ุจุงู„ุฅู…ุงู…ุฉ ู…ู† ุฃุถูŠุงูู‡. * * * 802 - ูˆู‚ุงู„ ุฃูŽู†ุณูŒ ุฑุถูŠ ุงู„ู„ู‡ ุนู†ู‡: ุฅู†ู‘ูŽ ุงู„ู†ู‘ูŽุจูŠู‘ูŽ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ุงุณู’ุชูŽุฎู’ู„ูŽููŽ ุงุจู† ุฃูู…ู‘ู ู…ูŽูƒู’ุชููˆู…ู ูŠูŽุคูู…ู‘ู\nP(A|B) = \\frac{P(A \\cap B)}{P(B)}\n## ุชุนุฑูŠู\nุงู„ู†ู‘ูŽุงุณูŽ ูˆูŽู‡ููˆูŽ ุฃูŽุนู’ู…ูŽู‰. \"ู‚ุงู„ ุฃู†ุณ: ุฅู† ุงู„ู†ุจูŠ ุนู„ูŠู‡ ุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ุงุณุชุฎู„ู ุงุจู† ุฃู… ู…ูƒุชูˆู…\"ุ› ุฃูŠ: ุฃู‚ุงู…ู‡ ุนู„ูŠู‡ ุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ู…ู‚ุงู…ูŽ ู†ูุณู‡ ููŠ ุงู„ู…ุณุฌุฏ ููŠ ุงู„ู…ุฏูŠู†ุฉ ุญูŠู† ุฎุฑุฌ ุฅู„ู‰ ุงู„ุบุฒูˆ. \"ูŠุคู…ู‘ู ุงู„ู†ุงุณ ูˆู‡ูˆ ุฃุนู…ู‰\": ูˆู‚ุฏ ุฌุงุก ููŠ ุจุนุถ ุงู„ุฑูˆุงูŠุงุช: ุฃู†ู‘ูŽู‡ ุนู„ูŠู‡ ุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ุงุณุชุฎู„ูู‡ ููŠ ุซู„ุงุซ ุนุดุฑุฉ ุบุฒูˆุฉ ู…ู† ุบุฒูˆุงุชู‡ุŒ ูˆู‡ุฐุง ูŠุฏู„ ุนู„ู‰\nz_{n+1} = z_n - \\alpha \\nabla f(z_n) + \\frac{t}{z^2}\n\\int_{2}^{N} \\ln(\\mu) \\, d\\mu = \\beta^2 \\approx C\n## ู…ู„ุงุญุธุฉ\nุฌูˆุงุฒ ุฅู…ุงู…ุฉ ุงู„ุฃุนู…ู‰ุŒ ูˆุงู„ูƒุฑุงู‡ุฉ ุฅู†ู…ุง ู‡ูŠ ุฅุฐุง ูƒุงู† ููŠ ุงู„ู‚ูˆู… ุณู„ูŠู…ูŒ ุฃุนู„ู… ู…ู†ู‡ ุฃูˆ ู…ุณุงูˆู ู„ู‡ ุนู„ู…ู‹ุง. * * *\n\\theta_{n+1} = \\theta_n - \\alpha \\nabla f(\\theta_n) + \\frac{y}{\\theta^2}\n## ู†ุธุฑูŠุฉ\nุงู„ู’ุนูŽุชูŽูƒููŠู‘ูุŒ ุซูŽู†ูŽุง ู…ูุญูŽู…ู‘ูŽุฏู ุจู’ู†ู ุฃูŽุญู’ู…ูŽุฏูŽ ุจู’ู†ู ุฃูŽู†ูŽุณู ุงู„ู’ู‚ูุฑูŽุดููŠู‘ูุŒ ุซูŽู†ูŽุง ุฃูŽุจููˆ ุนูŽุงุตูู…ูุŒ ุซูŽู†ูŽุง ุนูŽุจู‘ูŽุงุฏู ุจู’ู†ู ู…ูŽู†ู’ุตููˆุฑูุŒ ุนูŽู†ู’ ุนููƒู’ุฑูู…ูŽุฉูŽุŒ ุนูŽู†ู ุงุจู’ู†ู ุนูŽุจู‘ูŽุงุณูุŒ ุฑุถูŠ ุงู„ู„ู‡ ุนู†ู‡ู…ุง ู‚ูŽุงู„ูŽ: ู‚ูŽุงู„ูŽ ุฑูŽุณููˆู„ู ุงู„ู„ู‘ูŽู‡ู ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู…: ยซุฎูŽูŠู’ุฑู ู…ูŽุง ุชูŽุฏูŽุงูˆูŽูŠู’ุชูู…ู’\n\\prod_{k=1}^{n} (1 \\times \\mu_k) = 0\n\\vec{F} = m\\vec{a} + \\frac{\\sigma}{z^2}\n## ุชุนุฑูŠู\nุจูู‡ู ุงู„ุณู‘ูŽุนููˆุทู ูˆูŽุงู„ู„ู‘ูŽุฏููˆุฏู ูˆูŽุงู„ู’ุญูุฌูŽุงู…ูŽุฉู ูˆูŽุงู„ู’ู…ูŽุดู’ูŠูยป ู‡ูŽุฐูŽุง ุญูŽุฏููŠุซูŒ ุตูŽุญููŠุญู ุงู„ู’ุฅูุณู’ู†ูŽุงุฏู ูˆูŽู„ูŽู…ู’ ูŠูุฎูŽุฑู‘ูุฌูŽุงู‡ู \" 7472 - ุนุจุงุฏ ุจู† ู…ู†ุตูˆุฑ ุถุนููˆู‡\n\\sum_{\\beta=0}^{100} \\frac{t^\\beta}{\\beta!} = e^{t}",
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"content": "ุจูู‡ู ุงู„ุณู‘ูŽุนููˆุทู ูˆูŽุงู„ู„ู‘ูŽุฏููˆุฏู ูˆูŽุงู„ู’ุญูุฌูŽุงู…ูŽุฉู ูˆูŽุงู„ู’ู…ูŽุดู’ูŠูยป ู‡ูŽุฐูŽุง ุญูŽุฏููŠุซูŒ ุตูŽุญููŠุญู ุงู„ู’ุฅูุณู’ู†ูŽุงุฏู ูˆูŽู„ูŽู…ู’ ูŠูุฎูŽุฑู‘ูุฌูŽุงู‡ู \" 7472 - ุนุจุงุฏ ุจู† ู…ู†ุตูˆุฑ ุถุนููˆู‡",
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