{"id":69449,"date":"2024-01-02T02:10:57","date_gmt":"2024-01-02T02:10:57","guid":{"rendered":"https:\/\/science-hub.click\/%E3%83%93%E3%83%A5%E3%83%95%E3%82%A9%E3%83%B3%E9%87%9D-%E5%AE%9A%E7%BE%A9\/"},"modified":"2024-01-02T02:10:57","modified_gmt":"2024-01-02T02:10:57","slug":"%E3%83%93%E3%83%A5%E3%83%95%E3%82%A9%E3%83%B3%E9%87%9D-%E5%AE%9A%E7%BE%A9","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=69449","title":{"rendered":"\u30d3\u30e5\u30d5\u30a9\u30f3\u91dd &#8211; \u5b9a\u7fa9"},"content":{"rendered":"<div><div><h2>\u5c0e\u5165<\/h2><p><b>\u30d3\u30e5\u30d5\u30a9\u30f3\u306e\u91dd\u306f<\/b>\u3001 <span>18<\/span><sup>\u4e16\u7d00<\/sup>\u306e\u30d5\u30e9\u30f3\u30b9\u306e\u79d1\u5b66\u8005\u30b8\u30e7\u30eb\u30b8\u30e5\u30fb\u30eb\u30a4\u30fb\u30eb\u30af\u30ec\u30fc\u30eb\u30fb\u30c9\u30fb\u30d3\u30e5\u30d5\u30a9\u30f3\u306b\u3088\u3063\u30661733\u5e74\u306b\u63d0\u6848\u3055\u308c\u305f\u78ba\u7387\u5b9f\u9a13\u3067\u3059\u3002\u3053\u306e\u5b9f\u9a13\u306f\u3001\u6570\u5024 Pi \u306e\u8fd1\u4f3c\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002\u305d\u306e\u5206\u6790\u306f\u30012 \u6b21\u5143\u306e\u9023\u7d9a\u78ba\u7387\u7a7a\u9593\u306e\u5358\u7d14\u306a\u30b1\u30fc\u30b9\u3092\u5b9f\u88c5\u3057\u307e\u3059\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30d3\u30e5\u30d5\u30a9\u30f3\u91dd - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/JB8JNDq7MCg\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2>\u5b9f\u8df5\u7684\u306a\u30d7\u30ed\u30bb\u30b9<\/h2><p>\u5bc4\u6728\u7d30\u5de5\u306e\u5e8a\u306b<span><a href=\"https:\/\/science-hub.click\/?p=71097\">\u4f55<\/a><\/span>\u5ea6\u3082\u91dd\u3092\u6295\u3052\u308b\u4f5c\u696d\u3067\u3059\u3002\u5bc4\u6728\u7d30\u5de5\u306e\u5e8a\u306f\u3001\u540c\u3058<span><a href=\"https:\/\/science-hub.click\/?p=17054\">\u5e45<\/a><\/span>\u306e\u5e73\u884c\u306a\u677f\u3067\u69cb\u6210\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u91dd\u304c\u5e8a\u306e[\u5c11\u306a\u304f\u3068\u3082] 1 \u3064\u306e\u6e9d<span><a href=\"https:\/\/science-hub.click\/?p=24142\">\u306b\u307e\u305f\u304c\u3063\u3066<\/a><\/span>\u843d\u3061\u305f\u56de\u6570 (\u300c\u826f\u597d\u306a\u300d\u5834\u5408) \u3092\u7dcf\u6295\u3052\u6570\u3068\u6bd4\u8f03\u3057\u3066\u6570\u3048\u307e\u3059\u3002\u6295\u3052\u308b\u56de\u6570\u304c\u5897\u3048\u308b<span><a href=\"https:\/\/science-hub.click\/?p=39804\">\u3068<\/a><\/span>\u3001\u5546\u304c\u7279\u5b9a\u306e\u6570\u5024\u306b\u8fd1\u3065\u304d\u3001 <span>\u03c0 \u304c<\/span>\u6c42\u3081\u3089\u308c\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059 (\u305f\u3068\u3048\u3070\u3001\u91dd\u306e<span><a href=\"https:\/\/science-hub.click\/?p=17420\">\u9577\u3055\u304c<\/a><\/span>\u30dc\u30fc\u30c9\u306e\u5e45\u3068\u7b49\u3057\u3044\u5834\u5408\u3001\u3053\u306e\u6570\u5024\u306f<span><span><sup>2<\/sup> <big>\u2044\u03c0<\/big>\u306b\u306a\u308a\u307e\u3059<sub>)<\/sub><\/span><\/span> \u3002<\/p><h2>\u6570\u5b66\u306e\u52c9\u5f37<\/h2><p>\u3069\u3061\u3089\u304b\uff1a<\/p><ul><li> <span><i>l<\/i><\/span>\u5bc4\u6728\u7d30\u5de5\u306e\u30b9\u30e9\u30c3\u30c8\u306e\u5e45\u306b\u5bfe\u5fdc\u3059\u308b\u6b63\u306e\u5b9f\u6570\u3002<\/li><li>\u91dd\u306e\u9577\u3055\u306b\u5bfe\u5fdc\u3059\u308b\u6b63\u306e\u5b9f\u6570<span><i>\u3092\u6301\u3061\u307e\u3059<\/i><\/span>\u3002<\/li><li> <span>\u03b8<\/span>\u5bc4\u6728\u7d30\u5de5\u306e\u5e8a\u306e\u6e9d\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u5e7e\u4f55\u5b66\u7684\u306a<span><a href=\"https:\/\/science-hub.click\/?p=108487\">\u89d2\u5ea6<\/a><\/span>\u306b\u5bfe\u5fdc\u3059\u308b<span>0<\/span> \uff5e <span>\u03c0\/2<\/span>\u306e\u9593\u306e\u5b9f\u6570\u5024\u3002<\/li><li> <span><i>r<\/i><\/span>\u91dd\u306e\u4e2d\u5fc3\u304b\u3089\u6700\u3082\u8fd1\u3044\u6e9d\u307e\u3067\u306e\u8ddd\u96e2\u306b\u5bfe\u5fdc\u3059\u308b\u6b63\u306e\u5b9f\u6570\u3002<\/li><\/ul><p>\u4eee\u8aac\u306b\u5f93\u3063\u3066\u3001\u3059\u3079\u3066\u306e\u5bfe\u79f0\u6027\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u8003\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p><ul><li> <span>\u03b8 \u306f<\/span><span>[0;\u03c0 \/ 2]<\/span>\u306b\u95a2\u3059\u308b<span><a href=\"https:\/\/science-hub.click\/?p=18972\">\u9023\u7d9a\u4e00\u69d8\u6cd5\u5247<\/a><\/span>\u306b\u5f93\u3044\u307e\u3059\u3002<\/li><li> <span><i>r<\/i><\/span>\u306f<span>[0; <i>l<\/i> \/2]<\/span><\/li><\/ul><h3><span>\u30b7\u30f3\u30d7\u30eb\u306a\u5e7e\u4f55\u5b66\u7684<span><a href=\"https:\/\/science-hub.click\/?p=98747\">\u306a<\/a><\/span><span><a href=\"https:\/\/science-hub.click\/?p=43578\">\u8996\u70b9<\/a><\/span><\/span><\/h3><p>\u3053\u306e\u91dd\u3092<span><i>n \u56de<\/i><\/span>\u6295\u3052\u308b ( <span><i>n \u306f<\/i><\/span>\u5341\u5206\u5927\u304d\u3044) \u3068\u8003\u3048\u3066\u304f\u3060\u3055\u3044\u3002\u6b21\u306b\u3001\u7aef\u304b\u3089\u7aef\u307e\u3067\u914d\u7f6e\u3055\u308c\u305f\u91dd\u306e\u3059\u3079\u3066\u306e\u7570\u306a\u308b\u4f4d\u7f6e\u304c<span><i>n<\/i><\/span>\u500b\u306e\u8fba\u3092\u6301\u3064<span><a href=\"https:\/\/science-hub.click\/?p=12118\">\u591a\u89d2\u5f62<\/a><\/span>\u3092\u5f62\u6210\u3059\u308b\u3068\u8003\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <span><i>n<\/i><\/span>\u304c\u5927\u304d\u3044\u307b\u3069\u3001\u3053\u306e\u591a\u89d2\u5f62\u306f<span><a href=\"https:\/\/science-hub.click\/?p=69721\">\u5186<\/a><\/span>\u306b\u8fd1\u3065\u304d\u307e\u3059\u3002\u3053\u306e\u5186\u306e<span><a href=\"https:\/\/science-hub.click\/?p=57287\">\u5468\u9577<\/a><\/span><i>P \u306f<\/i>\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {P=n \\times a} $$<\/div> \u3002\u3053\u306e\u5186\u306e\u76f4\u5f84\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {D = P\/\\pi = n \\times a\/\\pi} $$<\/div> \u3002\u554f\u984c\u306f\u7d50\u5c40\u3001\u591a\u89d2\u5f62\u306b\u3088\u3063\u3066\u4f55\u672c\u306e\u5e73\u884c\u306a\u6e9d\u304c\u5207\u3089\u308c\u3066\u3044\u308b\u306e\u304b\u3001\u3042\u308b\u3044\u306f\u5186\u306e\u4e2d\u306b\u4f55\u672c\u306e\u6e9d\u304c\u3042\u308b\u306e\u304b\u200b\u200b\u3092\u77e5\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p><p>\u30ab\u30c3\u30c8\u3055\u308c\u308b\u6e9d\u306e\u6570<i>R<\/i>\u306f<span>\u3001 <i>R<\/i> = 2 <i>D<\/i> \/ <i>l<\/i><\/span>\u3067\u4e0e\u3048\u3089\u308c\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u91dd\u304c\u6e9d\u3092\u5207\u308b<span><a href=\"https:\/\/science-hub.click\/?p=57009\">\u78ba\u7387\u306f<\/a><\/span>\u6b21\u306e\u5f0f\u3067<span><a href=\"https:\/\/science-hub.click\/?p=25552\">\u4e0e\u3048\u3089\u308c<\/a><\/span>\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {p = \\frac{R}{n} = 2\\times \\frac{D}{l}\\frac{1}{n} = 2 \\times \\frac{na}{\\pi \\times l \\times n}} $$<\/div><\/dd><\/dl><p>\u305d\u3057\u3066\u7c21\u7d20\u5316\u3059\u308b<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {p = \\frac{2a}{\\pi\\times  l}} $$<\/div><\/dd><\/dl><h3><span>\u5883\u754c\u4f8b<\/span><\/h3><p>\u5b64\u7acb\u3057\u305f\u6295\u3052\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u91dd\u304c\u305d\u306e\u5148\u7aef\u3067\u6e9d\u306e\u70b9\u306b\u91cd\u306a\u3089\u305a\u306b\u89e6\u308c\u3066\u3044\u308b\u5834\u5408\u3001<span>\u659c\u8fba\u304c<\/span>\u91dd\u306e\u534a\u5206\u3067\u3001\u4e00\u65b9\u306e\u8fba\u304c\u9577\u3055<span><i>r<\/i><\/span>\u3067\u3001\u3082\u3046\u4e00\u65b9\u306e\u8fba\u304c\u6e9d\u306e\u4e00\u90e8\u3067\u3042\u308b<span><a href=\"https:\/\/science-hub.click\/?p=94099\">\u76f4\u89d2<\/a><\/span><span><a href=\"https:\/\/science-hub.click\/?p=83821\">\u4e09\u89d2\u5f62<\/a><\/span>\u304c\u5f97\u3089\u308c\u307e\u3059\u3002\u3059\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ {\\sin \\theta = \\frac r{\\frac a2} \\Leftrightarrow \\frac a2 \\sin \\theta = r} $$<\/div><\/center><h3><span>\u4e0d\u5229\u306a\u30b1\u30fc\u30b9<\/span><\/h3><p>\u3057\u305f\u304c\u3063\u3066\u3001\u91dd\u304c\u5b8c\u5168\u306b\u30dc\u30fc\u30c9\u4e0a\u306b\u3042\u308b\u5834\u5408\u306f\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ {\\frac a2 \\sin \\theta &lt; r} $$<\/div><\/center><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30d3\u30e5\u30d5\u30a9\u30f3\u91dd - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/Ymtb47ZfMgI\/0.jpg\" style=\"width:100%;\"\/><\/figure><h3><span>\u6709\u5229\u306a\u30b1\u30fc\u30b9<\/span><\/h3><p>\u5c11\u306a\u304f\u3068\u3082 1 \u3064\u306e\u6e9d (\u6700\u3082\u8fd1\u3044\u6e9d) \u3068\u91cd\u306a\u308b\u5834\u5408\u306f\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p><div class=\"math-formual notranslate\">$$ {\\frac a2 \\sin \\theta &gt; r} $$<\/div><h3><span>\u5206\u6790<\/span><\/h3><p>\u3053\u3053\u3067\u306f\u5358\u7d14\u306a\u30b1\u30fc\u30b9 ( <span><i>a<\/i> &lt; = <i>l<\/i><\/span> ) \u3092\u6271\u3044\u307e\u3059\u3002<\/p><p>\u96e2\u6563\u78ba\u7387\u306e\u5834\u5408\u3001\u300c\u5408\u8a08\u300d\u30b1\u30fc\u30b9\u306b\u5bfe\u3059\u308b\u300c\u6709\u5229\u306a\u300d\u30b1\u30fc\u30b9\u306e\u5546\u3092\u5f62\u6210\u3059\u308b\u306e\u3068\u540c\u3058\u3088\u3046\u306b\u3001<\/p><p>\u6211\u3005\u306f\u6301\u3063\u3066\u3044\u307e\u3059<div class=\"math-formual notranslate\">$$ {[0;\\frac {\\pi}2]} $$<\/div> \u00d7 <div class=\"math-formual notranslate\">$$ {[0;\\frac l2]} $$<\/div>\u91dd\u304c\u6e9d\u306b\u843d\u3061\u308b\u78ba\u7387\u306e\u5f0f: <\/p><center><div class=\"math-formual notranslate\">$$ { \\frac {Aire_{favorable}}{Aire_{totale}}} $$<\/div><\/center><p> (\u7a7a\u9593<span>( <i>r<\/i> ,\u03b8)<\/span>\u3068\u6975\u9650\u3092\u63cf\u753b\u3057\u307e\u3059): <\/p><center><div class=\"math-formual notranslate\">$$ {P\\left(favorable\\right) = \\frac {\\int_{0}^\\frac{\\pi}2 \\mathrm d \\theta \\int_{0}^{\\frac a2 \\sin \\theta} \\, \\mathrm d r}{\\frac {\\pi}2 \\frac l2}} $$<\/div><\/center><center><div class=\"math-formual notranslate\">$$ {P\\left(favorable\\right) = \\frac {4}{\\pi l} \\int_{0}^\\frac{\\pi}2 \\frac a2 \\sin \\theta \\, \\mathrm d \\theta =  \\frac {2a}{\\pi l}} $$<\/div><\/center><p>\u591a\u6570\u56de\u6295\u3052\u305f\u5f8c\u306f\u3001<span><a href=\"https:\/\/science-hub.click\/?p=92157\">\u5927\u6570\u306e\u6cd5\u5247<\/a><\/span>\u306b\u5f93\u3063\u3066\u3001\u5b9f\u969b\u306e\u5024\u304c\u7406\u8ad6\u5024\u306b\u8fd1\u3065\u304f\u50be\u5411\u304c\u3042\u308a\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\frac {2a}{\\pi l}} $$<\/div> \u3002\u5b9f\u9a13\u306e\u30c7\u30fc\u30bf ( <span><i>l<\/i><\/span>\u3068<span><i>a<\/i><\/span> ) \u304c\u308f\u304b\u308c\u3070\u3001\u7c21\u5358\u306b pi \u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p><p>\u5b9f\u969b\u3001 <span><i>p \u3092<\/i><\/span><span><i>P \u3092<\/i><\/span>\u63a8\u5b9a\u3059\u308b\u6bd4\u7387\u3067\u3042\u308b\u3068\u3057\u307e\u3059\u3002\u305d\u306e\u5834\u5408\u3001\u6b21\u306e\u63a8\u5b9a\u91cf\u304c\u5f97\u3089\u308c\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\pi=\\frac {2a}{lp}} $$<\/div><\/p><h3><span>\u5206\u6790<\/span>$$ {l \\leq a} $$<\/h3><\/div><p>\u3053\u3053\u3067\u306f\u3001\u91dd\u304c\u5bc4\u6728\u7d30\u5de5\u306e\u677f\u306e\u9593\u306e\u8ddd\u96e2\u3088\u308a\u3082\u9577\u3044\u5834\u5408\u3092\u6271\u3044\u307e\u3059 (\u7de8\u307f\u91dd\u3092\u8003\u3048\u3066\u304f\u3060\u3055\u3044)\u3002 \u300c\u6709\u5229\u306a\u300d\u30b1\u30fc\u30b9\u306f\u4f9d\u7136\u3068\u3057\u3066\u300c\u91dd\u304c\uff08\u5c11\u306a\u304f\u3068\u3082\uff09\u5bc4\u6728\u7d30\u5de5\u306e\u677f\u3092\u6a2a\u5207\u3063\u305f\u300d\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002<\/p><p> \u300c\u4e0d\u5229\u306a\u300d\u30b1\u30fc\u30b9\u306f\u6570\u5b66\u7684\u306b\u8868\u73fe\u3059\u308b\u306e\u304c\u7c21\u5358\u306a\u306e\u3067\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059 (\u7a7a\u9593<span>( <i>r<\/i> ,\u03b8)<\/span>\u3068\u6975\u9650\u3092\u63cf\u753b\u3057\u307e\u3059)\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ {P=1-\\dfrac{\\int_0^{\\arcsin(\\frac la)}d \\theta \\int_{\\frac a2 \\sin \\theta}^{\\frac l2} d x}{\\frac {\\pi l}{4}}} $$<\/div><\/center><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30d3\u30e5\u30d5\u30a9\u30f3\u91dd - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/dbPKDe7s9D4\/0.jpg\" style=\"width:100%;\"\/><\/figure><p>\u4e2d\u9593\u306e\u624b\u9806\u3092\u5b9f\u884c\u3057\u3066\u3001\u4ee5\u4e0b\u3092\u53d6\u5f97\u3057\u307e\u3059\u3002 <\/p><center><div class=\"math-formual notranslate\">$$ {P=\\frac {2a}{\\pi l}\\left ( 1-\\sqrt{1-\\frac {l^2}{a^2}}\\right )+\\left ( 1-\\frac {2 \\arcsin \\frac la}{\\pi} \\right )} $$<\/div><\/center><p> <span><i>l<\/i> = <i>a<\/i><\/span>\u306e\u5834\u5408\u3001\u524d\u306e\u5f0f\u304c\u898b\u3064\u304b\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u307e\u3059 ( <span><i>l<\/i> &gt; = <i>a<\/i><\/span> : \u77ed\u3044\u91dd\u3067\u78ba\u7acb)\u3002<\/p><p>\u3053\u306e\u5f0f\u3067\u306f\u3001\u5f15\u304d\u7d9a\u304d<span>\u03c0 \u3092<\/span><span>(1 \u2212 <i>p<\/i> )<\/span>\u306e\u95a2\u6570\u3068\u3057\u3066\u63a8\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u3053\u3067\u3001 <span>(1 \u2212 <i>P<\/i> )<\/span>\u306b\u306f<span>\u03c0 \u304c<\/span>\u4fc2\u6570\u3068\u3057\u3066\u542b\u307e\u308c\u308b (\u5b9f\u969b\u306b\u884c\u308f\u308c\u308b) \u305f\u3081\u3001 <span><i>p \u306f<\/i><\/span><span><i>P \u3092<\/i><\/span>\u63a8\u5b9a\u3059\u308b\u5272\u5408\u3067\u3059\u3002<\/p><p>\u30dd\u30fc\u30ba\u3092\u3068\u308b\u3053\u3068\u3067<div class=\"math-formual notranslate\">$$ {\\frac la = u} $$<\/div> <span><i>u<\/i> = 0<\/span>\u306e\u4ed8\u8fd1\u3092\u62e1\u5f35\u3059\u308b\u3068\u3001\u975e\u5e38\u306b\u9577\u3044\u91dd\u306e\u78ba\u7387\u306e\u5f0f (\u8fd1\u4f3c\u5f0f) \u304c\u5f97\u3089\u308c\u307e\u3059\u3002 <\/p><div class=\"math-formual notranslate\">$$ {P_{a&gt;&gt;l}=1-\\frac l{\\pi a}} $$<\/div><p>\u3053\u308c\u306f\u3001\u671f\u5f85\u3069\u304a\u308a\u3001\u975e\u5e38\u306b<span><i>\u5927\u304d\u3044<\/i><\/span>\u5834\u5408\u306f 1 \u306b\u8fd1\u3065\u304f\u50be\u5411\u304c\u3042\u308a\u307e\u3059\u3002<\/p><h3><span><span>\u30c7\u30b8\u30bf\u30eb<\/span>\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3<\/span><\/h3><table><caption><span>\u03c0<\/span>\u306e\u63a8\u5b9a\u306b\u304a\u3051\u308b\u8aa4\u5dee\u306e\u5272\u5408 (100<span><a href=\"https:\/\/science-hub.click\/?p=57063\">\u4e07\u56de\u306e<\/a><\/span>\u8a66\u884c) <\/caption><tr><th><div class=\"math-formual notranslate\">$$ {\\frac al} $$<\/div><\/th><th> 0.1<\/th><th> 0.2<\/th><th> 0.5<\/th><th> 1<\/th><th> 2<\/th><th> 5<\/th><th> 10<\/th><th> 100<\/th><\/tr><tr><td>\u6b63\u78ba\u306a\u5f0f<\/td><td>0.4<\/td><td> -0.1<\/td><td> 0.1<\/td><td> 0.001<\/td><td> -0.1<\/td><td> -0.06<\/td><td> -0.7<\/td><td> 1.05<\/td><\/tr><tr><td>\u8fd1\u4f3c\u5f0f<\/td><td>&#8211;<\/td><td> &#8211;<\/td><td> &#8211;<\/td><td> &#8211;<\/td><td> -2<\/td><td> -0.5<\/td><td> -0.3<\/td><td> 1.05<\/td><\/tr><\/table><p>\u7d50\u8ad6:<\/p><ul><li> <span><i>l<\/i> = <i>a<\/i><\/span>\u306e\u5834\u5408\u306b\u6700\u826f\u306e\u63a8\u5b9a\u5024\u304c\u5f97\u3089\u308c\u307e\u3059<\/li><li>\u63a8\u5b9a\u5024\u306e\u4f4e\u4e0b\u306f\u6025\u901f\u3067\u3059\u304c\u3001\u3059\u3050\u306b\u5b89\u5b9a\u3057\u307e\u3059<\/li><li>\u4eee\u8aac<span><i>l<\/i> &gt; = <i>a \u306f<\/i><\/span>\u5b9f\u9a13\u3092\u884c\u3046\u306e\u306b\u5fc5\u8981\u3067\u306f\u306a\u3044<\/li><li>\u8fd1\u4f3c\u5f0f\uff08\u5927<span><i>\u898f\u6a21<\/i><\/span>\u306a\u5834\u5408\uff09\u306f\u3001\u305d\u306e\u5fdc\u7528\u5206\u91ce\u3067\u826f\u3044\u7d50\u679c\u3092\u3082\u305f\u3089\u3057\u307e\u3059<\/li><\/ul><h3><span>\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u30d7\u30ed\u30b0\u30e9\u30e0\uff08Python\uff09<\/span><\/h3><div dir=\"ltr\"><div><pre class=\"de1\"> <span># l=2 \u3068\u3057\u3001[0,1] \u3067\u4e00\u69d8\u306a x \u3092\u751f\u6210\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span> <span># [0, pi\/2] \u3067\u4e00\u69d8\u306a\u30b7\u30fc\u30bf\u3082\u751f\u6210\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059<\/span><span>\u3002 # \u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/span> <span># sin(theta) &gt; 2x\/a \u306e\u5834\u5408\u306f\u6210\u529f<\/span><span>#\u305d\u308c\u4ee5\u5916\u306e\u5834\u5408\u306f\u5931\u6557\u3057\u307e\u3059<\/span><span>\u30a4\u30f3\u30dd\u30fc\u30c8<\/span><span>\u30e9\u30f3\u30c0\u30e0<\/span><span>\u30a4\u30f3\u30dd\u30fc\u30c8<\/span><span>\u6570\u5b66<\/span>Max=1000000 <span>for<\/span> a <span>in<\/span> <span>[<\/span> 0.2, 0.4, 1, 2, 4, 10, 20, 200 <span>]<\/span> : Count=0 <span>for<\/span> i <span>in<\/span> <span>range<\/span> <span>(<\/span> Max <span>)<\/span> : x=<span>\u30e9\u30f3\u30c0\u30e0<\/span>\u3002<span>\u5747\u4e00<\/span><span>(<\/span> 0,1 <span>)<\/span> t=<span>\u30e9\u30f3\u30c0\u30e0<\/span>\u3002 <span>uniform<\/span> <span>(<\/span> 0, <span>math<\/span> . <span>pi<\/span> \/2 <span>)<\/span> <span>if<\/span> <span>math<\/span> . pi \/2 ) <span>sin<\/span> <span>(<\/span> t <span>)<\/span> <span>&gt;<\/span> 2 <span>*<\/span> x\/ <span>float<\/span> <span>(<\/span> a <span>)<\/span> : Count+=1 <span>if<\/span> a <span>&lt;<\/span> =2: <span>print<\/span> a\/2.,100 <span>*<\/span> <span>(<\/span> a\/ <span>(<\/span> <span>float<\/span> <span>(<\/span> Count <span>)<\/span> \/ <span>float<\/span> <span>(<\/span> Max <span>)<\/span> <span>)<\/span> - <span>math<\/span> . <span>pi<\/span> <span>)<\/span> \/<span>\u6570\u5b66<\/span>\u3002 <span>pi<\/span> <span>else<\/span> : P= <span>float<\/span> <span>(<\/span> Count <span>)<\/span> \/ <span>float<\/span> <span>(<\/span> Max <span>)<\/span> <span>print<\/span> a\/2.,100 <span>*<\/span> <span>(<\/span> <span>float<\/span> <span>(<\/span> a <span>)<\/span> \/ <span>(<\/span> P-1. <span>)<\/span> <span>*<\/span> <span>(<\/span> 1.- <span>math<\/span> . <span>sqrt<\/span> <span>(<\/span> 1- <span>(<\/span> 2\/ <span>float<\/span> <span>(<\/span> a <span>)<\/span> <span>)<\/span> <span>**<\/span> 2 <span>))<\/span> <span>-<\/span> 2\/ <span>(<\/span> P-1. <span>)<\/span> <span>*<\/span> <span>math<\/span> <span>asin<\/span> <span>(<\/span> <span>2.\/float<\/span> <span>(<\/span> a <span>)<\/span> <span>)<\/span> - <span>math<\/span> <span>pi<\/span> <span>)<\/span> \/ <span>math<\/span> . <span>pi<\/span><span>\u30d7\u30ea\u30f3\u30c8<\/span>a\/2.,100\u3002 <span>*<\/span> <span>(<\/span> 2\/ <span>float<\/span> <span>(<\/span> a <span>)<\/span> \/ <span>(<\/span> 1.-P <span>)<\/span> - <span>math<\/span> . <span>pi<\/span> <span>)<\/span> \/ <span>math<\/span> .<span>\u5186\u5468\u7387<\/span><\/pre><\/div><\/div><\/div>\n<h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2>\n<ol><li><a class=\"notranslate\" href=\"https:\/\/ca.wikipedia.org\/wiki\/Agulla_de_Buffon\">Agulla de Buffon \u2013 catalan<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/cs.wikipedia.org\/wiki\/Buffonova_jehla\">Buffonova jehla \u2013 tch\u00e8que<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Buffonsches_Nadelproblem\">Buffonsches Nadelproblem \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Buffon%27s_needle_problem\">Buffon&#8217;s needle problem \u2013 anglais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/es.wikipedia.org\/wiki\/Aguja_de_Buffon\">Aguja de Buffon \u2013 espagnol<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/eu.wikipedia.org\/wiki\/Buffonen_orratza\">Buffonen orratza \u2013 basque<\/a><\/li><\/ol>\n<div class=\"feature-video\">\n <h2>\n  \u30d3\u30e5\u30d5\u30a9\u30f3\u91dd &#8211; \u5b9a\u7fa9\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n <div class=\"video-item\">\n  \n  <figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n   <div class=\"wp-block-embed__wrapper\">\n    <iframe loading=\"lazy\" title=\"\u30d3\u30e5\u30d5\u30a9\u30f3\u306e\u91dd\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/CNbZap3UhrM?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n   <\/div>\n  <\/figure>\n  \n <\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5c0e\u5165 \u30d3\u30e5\u30d5\u30a9\u30f3\u306e\u91dd\u306f\u3001 18\u4e16\u7d00\u306e\u30d5\u30e9\u30f3\u30b9\u306e\u79d1\u5b66\u8005\u30b8\u30e7\u30eb\u30b8\u30e5\u30fb\u30eb\u30a4\u30fb\u30eb\u30af\u30ec\u30fc\u30eb\u30fb\u30c9\u30fb\u30d3\u30e5\u30d5\u30a9\u30f3\u306b\u3088\u3063\u30661733\u5e74\u306b\u63d0\u6848\u3055\u308c\u305f\u78ba\u7387\u5b9f\u9a13\u3067\u3059\u3002\u3053\u306e\u5b9f\u9a13\u306f\u3001\u6570\u5024 Pi \u306e\u8fd1\u4f3c\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002\u305d\u306e\u5206\u6790\u306f\u30012 \u6b21\u5143\u306e\u9023\u7d9a\u78ba\u7387\u7a7a\u9593\u306e [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":69450,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/CNbZap3UhrM\/0.jpg","fifu_image_alt":"\u30d3\u30e5\u30d5\u30a9\u30f3\u91dd - \u5b9a\u7fa9","footnotes":""},"categories":[5],"tags":[11,13,14,10,64388,12,8,16,15,9,64389,42621],"class_list":["post-69449","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-techniques","tag-technologie","tag-news","tag-actualite","tag-bullialdus","tag-dossier","tag-definition","tag-sciences","tag-article","tag-explications","tag-universite-de-kanazawa","tag-aiguille"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/69449"}],"collection":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=69449"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/69449\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/69450"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=69449"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=69449"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=69449"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}