{"id":51559,"date":"2024-07-30T09:24:54","date_gmt":"2024-07-30T09:24:54","guid":{"rendered":"https:\/\/science-hub.click\/%E5%8F%8D%E5%BE%A9%E6%8E%A8%E8%AB%96-%E5%AE%9A%E7%BE%A9\/"},"modified":"2024-07-30T09:24:54","modified_gmt":"2024-07-30T09:24:54","slug":"%E5%8F%8D%E5%BE%A9%E6%8E%A8%E8%AB%96-%E5%AE%9A%E7%BE%A9","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=51559","title":{"rendered":"\u53cd\u5fa9\u63a8\u8ad6 &#8211; \u5b9a\u7fa9"},"content":{"rendered":"<div><div><p><strong>\u5e30\u7d0d\u6cd5\u306b\u3088\u308b\u63a8\u8ad6\u306f<\/strong>\u6570\u5b66\u7684\u63a8\u8ad6\u306e\u5f62\u5f0f\u3067\u3042\u308a\u3001\u305d\u306e\u76ee\u7684\u306f<i>\u3059\u3079\u3066\u306e<\/i>\u81ea\u7136\u6574\u6570\u3001\u3088\u308a\u4e00\u822c\u7684\u306b\u306f<i>\u7121\u9650<\/i>\u306e\u81ea\u7136\u6574\u6570\u306e\u6027\u8cea\u3092\u5b9f\u8a3c\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u30d7\u30ed\u30d1\u30c6\u30a3\u3092<span><a href=\"https:\/\/science-hub.click\/?p=95765\">\u4efb\u610f\u306e<\/a><\/span>\u6574\u6570\u3067\u691c\u8a3c\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u3088\u3046\u306b\u3059\u308c\u3070\u5341\u5206\u3067\u3042\u308b\u3068\u8ff0\u3079\u3066\u3044\u307e\u3059\u3002<\/p><ul><li> 0 \u3067\u3042\u308b\u3053\u3068\u304c\u691c\u8a3c\u3055\u308c\u308b\u3053\u3068\u3002<\/li><li>\u305d\u308c\u306f\u300c\u6b21\u306e\u6574\u6570\u306b\u9032\u3080\u300d\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002\u6574\u6570\u306b\u5bfe\u3057\u3066\u691c\u8a3c\u3055\u308c\u308b\u3068\u3001\u305d\u306e\u5f8c\u306b\u7d9a\u304f\u6574\u6570\u306b\u5bfe\u3057\u3066\u3082\u691c\u8a3c\u3055\u308c\u307e\u3059\u3002<\/li><\/ul><p>\u5168\u4f53\u7684\u306b\u540c\u3058\u3053\u3068\u304c\u8a00\u3048\u307e\u3059\u3002<\/p><dl><dd>\u81ea\u7136\u6570\u306e<span><a href=\"https:\/\/science-hub.click\/?p=57227\">\u30bb\u30c3\u30c8<\/a><\/span>\u306b 0 \u304c\u542b\u307e\u308c\u3001\u305d\u306e\u5404\u8981\u7d20\u306e\u5f8c\u7d9a\u5024\u304c\u542b\u307e\u308c\u308b\u5834\u5408\u3001\u3053\u306e\u30bb\u30c3\u30c8\u306b\u306f\u3059\u3079\u3066\u306e\u81ea\u7136\u6570\u304c\u542b\u307e\u308c\u307e\u3059\u3002<\/dd><\/dl><p>\u5e30\u7d0d\u6cd5\u306b\u3088\u308b\u63a8\u8ad6\u306f\u3001\u81ea\u7136\u6574\u6570\u306e\u96c6\u5408\u3067\u3042\u308b<strong>N<\/strong>\u306e\u9806\u5e8f\u7279\u6027\u3068\u5bc6\u63a5\u306b\u95a2\u9023\u3057\u3066\u3044\u307e\u3059\u3002<\/p><dl><dd><span><a href=\"https:\/\/science-hub.click\/?p=93191\">\u7a7a\u3067<\/a><\/span>\u306a\u3044\u81ea\u7136\u6570\u306e\u96c6\u5408\u306b\u306f\u3059\u3079\u3066\u6700\u5c0f\u306e\u8981\u7d20\u304c\u3042\u308a\u307e\u3059\u3002<\/dd><\/dl><p>\u3053\u306e\u63a8\u8ad6\u306e\u7279\u5b9a\u306e\u5f62\u5f0f\u306f\u3001\u5f53\u7136\u3001\u9069\u5207\u306a\u7121\u9650\u6b21\u6570\u306b\u3082\u4e00\u822c\u5316\u3055\u308c\u307e\u3059\u3002\u6b21\u306b\u3001<span><a href=\"https:\/\/science-hub.click\/?p=17112\">\u8d85\u9650\u56de\u5e30<\/a><\/span>\u3001\u9806\u5e8f\u56de\u5e30\u306b\u3064\u3044\u3066\u8a71\u3057\u307e\u3059 (\u3059\u3079\u3066\u306e\u9069\u5207\u306a\u9806\u5e8f\u306f\u9806\u5e8f\u6570\u3068\u540c\u578b\u3067\u3059)\u3002<strong>\u8a98\u5c0e<\/strong>\u3068\u3044\u3046\u7528\u8a9e\u3082\u3053\u306e<span><a href=\"https:\/\/science-hub.click\/?p=88719\">\u6587\u8108<\/a><\/span>\u3067\u3088\u304f\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u5e30\u7d0d\u6cd5\u306b\u3088\u308b\u63a8\u8ad6\u306f\u3001\u6700\u7d42\u7684\u306b\u306f\u5341\u5206\u306b\u6839\u62e0\u306e\u3042\u308b\u95a2\u4fc2\u306b\u4e00\u822c\u5316\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<span><a href=\"https:\/\/science-hub.click\/?p=57519\">\u8ad6\u7406<\/a><\/span>\u3084<span><a href=\"https:\/\/science-hub.click\/?p=456\">\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u30b5\u30a4\u30a8\u30f3\u30b9\u306a\u3069<\/a><\/span>\u306e\u7279\u5b9a\u306e\u6587\u8108\u3067\u306f\u3001\u30c4\u30ea\u30fc\u69cb\u9020\u306e\u69cb\u9020\u306b\u3064\u3044\u3066\u3001\u69cb\u9020\u7684\u56de\u5e30\u306b\u3064\u3044\u3066\u8a71\u3057\u307e\u3059\u3002<\/p><h2><span>\u5358\u7d14\u306a\u518d\u767a<\/span><\/h2><p>\u81ea\u7136\u6570\u306b\u5bfe\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u305f\u30d7\u30ed\u30d1\u30c6\u30a3<span><i>P<\/i> ( <i>n<\/i> ) \u304c<\/span>\u3059\u3079\u3066\u306e\u81ea\u7136\u6570\u306b\u5bfe\u3057\u3066\u771f\u3067\u3042\u308b\u3053\u3068\u3092\u8a3c\u660e\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u3053\u3068\u3092\u8a3c\u660e\u3059\u308c\u3070\u5341\u5206\u3067\u3059\u3002<\/p><ul><li> <span><i>P<\/i> (0)<\/span><\/li><li> (\u4efb\u610f\u306e\u6574\u6570<span><i>n<\/i><\/span>\u306e\u5834\u5408) ( <div class=\"math-formual notranslate\">$$ {P(n)  \\Rightarrow P(n+1))} $$<\/div><\/li><\/ul><p>\u6700\u521d\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u306f\u521d\u671f\u5316\u3068\u547c\u3070\u308c\u3001 <span><a href=\"https:\/\/science-hub.click\/?p=68283\">2 \u756a\u76ee\u306e<\/a><\/span>\u30d7\u30ed\u30d1\u30c6\u30a3\u306f\u7d99\u627f\u3068\u547c\u3070\u308c\u307e\u3059\u3002<\/p><p>\u7279\u5b9a\u306e<span><a href=\"https:\/\/science-hub.click\/?p=23588\">\u30e9\u30f3\u30af<\/a><\/span><span><i>n<\/i> <sub>0<\/sub><\/span>\u306e\u307f\u304b\u3089<span><i>P<\/i> ( <i>n<\/i> ) \u3092<\/span>\u8868\u793a\u3059\u308b\u306b\u306f\u3001\u4ee5\u4e0b\u3092\u8868\u793a\u3059\u308c\u3070\u5341\u5206\u3067\u3042\u308b\u3068\u3059\u3050\u306b\u63a8\u6e2c\u3067\u304d\u307e\u3059\u3002<\/p><ul><li> <span><i>P<\/i> ( <i>n0<\/i> <sub>)<\/sub><\/span><\/li><li> (\u5168\u54e1\u306b\u3068\u3063\u3066<div class=\"math-formual notranslate\">$$ {n\\geq n_0} $$<\/div> ) ( <div class=\"math-formual notranslate\">$$ {P(n)  \\Rightarrow P(n+1))} $$<\/div><\/li><\/ul><p>\u3053\u308c\u306f\u3001 <i>p<\/i>\u306e\u5e30\u7d0d\u6cd5\u306b\u3088\u3063\u3066<i>P<\/i> ( <i>n<\/i> <sub>0<\/sub> + <i>p<\/i> ) \u3092\u793a\u3059\u304b\u3001<span><a href=\"https:\/\/science-hub.click\/?p=30030\">\u52a0\u7b97<\/a><\/span>\u3092\u53c2\u7167\u3057\u305f\u304f\u306a\u3044\u5834\u5408\u306f\u3001 <i>n<\/i>\u306e\u5e30\u7d0d\u6cd5\u306b\u3088\u3063\u3066\u30d7\u30ed\u30d1\u30c6\u30a3 &#8221; <i>n<\/i> &lt; <i>n<\/i> <sub>0<\/sub>\u307e\u305f\u306f<i>P<\/i> ( <i>n<\/i> )&#8221; \u3092\u793a\u3059\u3053\u3068\u306b\u3088\u3063\u3066\u884c\u308f\u308c\u307e\u3059\u3002<\/p><p>\u53cd\u5fa9\u306f\u3001\u96c6\u5408\u306e\u65b9\u6cd5\u3067\u8868\u73fe\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u305d\u308c\u306f\u3001\u7406\u89e3\u306b\u304a\u3051\u308b\u96c6\u5408\u306e<span><a href=\"https:\/\/science-hub.click\/?p=74671\">\u5b9a\u7fa9<\/a><\/span>\u306e\u30d0\u30ea\u30a8\u30fc\u30b7\u30e7\u30f3\u306b\u3059\u304e\u307e\u305b\u3093\u3002\u30d7\u30ed\u30d1\u30c6\u30a3\u3068\u305d\u308c\u3092\u691c\u8a3c\u3059\u308b\u81ea\u7136\u6570\u306e\u30bb\u30c3\u30c8\u3092\u95a2\u9023\u4ed8\u3051\u3001\u81ea\u7136\u6570\u306e\u30bb\u30c3\u30c8\u3068\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u30e1\u30f3\u30d0\u30fc\u30b7\u30c3\u30d7 \u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u95a2\u9023\u4ed8\u3051\u307e\u3059\u3002\u6b21\u306b\u3001\u518d\u767a\u306f\u6b21\u306e\u3088\u3046\u306b\u540c\u7b49\u306e\u65b9\u6cd5\u3067\u518d\u8a18\u8ff0\u3055\u308c\u307e\u3059\u3002<\/p><dl><dd>\u6b21\u306e\u5834\u5408\u3001 <i>E \u3092<\/i><strong>N<\/strong>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=106649\">\u90e8\u5206<\/a><\/span>\u96c6\u5408\u3068\u3057\u307e\u3059\u3002<ul><li> 0 \u2208 <i>E<\/i><\/li><li> <i>n<\/i> \u2208 <i>E<\/i> \u21d2 n+1 \u2208 <i>E<\/i> (\u3059\u3079\u3066\u306e<i>n<\/i> \u2208 <strong>N<\/strong>\u306b\u3064\u3044\u3066)<\/li><\/ul><\/dd><dd>\u3059\u308b\u3068<i>E<\/i> = <strong>N<\/strong>\u3068\u306a\u308a\u307e\u3059\u3002<\/dd><\/dl><h3><span>\u4f8b<\/span><\/h3><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u53cd\u5fa9\u63a8\u8ad6 - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/hELMzGuiD-0\/0.jpg\" style=\"width:100%;\"\/><\/figure><h4><span>\u4f8b1<\/span><\/h4><p>\u6700\u521d\u306e<i>n<\/i>\u500b\u306e\u6574\u6570<span>1 + 2 + &#8230; + <i>n<\/i><\/span>\u306e\u5408\u8a08\u304c\u6b21\u3068\u7b49\u3057\u3044\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {{n(n+1) \\over 2}} $$<\/div> \u3002<\/p><ul><li>\u3053\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u306f\u3001 <i>n<\/i> = 1 \u306e\u5834\u5408\u306b\u5f53\u3066\u306f\u307e\u308a\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {1 = {1 \\times 2 \\over 2}} $$<\/div> \u3002<\/li><li>\u3069\u3061\u3089\u304b<div class=\"math-formual notranslate\">$$ {n\\in\\mathbb{N}} $$<\/div> \u3002\u6b21\u306e\u3088\u3046\u306b\u4eee\u5b9a\u3057\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {1 + 2 + &#8230; + n = {n(n+1)\\over 2}} $$<\/div> \u3002\u305d\u308c\u3067 \uff1a <\/li><\/ul><dl><dd><dl><dd><div class=\"math-formual notranslate\">$$ {= {n(n+1) + 2(n+1) \\over 2}} $$<\/div><\/dd><\/dl><\/dd><\/dl><dl><dd><dl><dd><div class=\"math-formual notranslate\">$$ {= {(n+1)(n+2) \\over 2}} $$<\/div><\/dd><\/dl><\/dd><\/dl><p>\u78ba\u304b\u306b\u8ca1\u7523\u306f\u4e16\u8972\u3067\u3059\u3002<\/p><h4><span>\u4f8b 2<\/span><\/h4><p>\u5e30\u7d0d\u6cd5\u306b\u3088\u3063\u3066\u8a3c\u660e\u3059\u308b\u306b\u306f<\/p><dl><dd>\u3059\u3079\u3066\u306e\u305f\u3081\u306b<div class=\"math-formual notranslate\">$$ {n \\geq 3} $$<\/div> , <span>3 <sup>2 <i>n<\/i><\/sup> \u2212 2 <sup><i>n<\/i> \u2212 3<\/sup><\/span>\u306f 7 \u306e\u500d\u6570\u3067\u3059\u3002<\/dd><\/dl><p>\u5341\u5206\u3067\u3059<\/p><ul><li>n = 3 \u306e\u5834\u5408\u3001 <span>3 <sup>6<\/sup> \u2212 2 <sup>0<\/sup><\/span>\u304c\u5b9f\u969b\u306b 7 \u306e\u500d\u6570\u3067\u3042\u308b\u3053\u3068\u3092\u691c\u8a3c\u3057\u307e\u3059 (728 \u306f\u5b9f\u969b\u306b 7 \u306e\u500d\u6570\u3067\u3059)\u3002<\/li><li>\u305d\u308c\u3092\u8a3c\u660e\u3059\u308b\u305f\u3081\u306b\uff08\u3059\u3079\u3066\u306e\u4eba\u306b\u3068\u3063\u3066\uff09 <div class=\"math-formual notranslate\">$$ {n \\geq 3} $$<\/div> ) <span>3 <sup>2 <i>n<\/i><\/sup> \u2212 2 <sup><i>n<\/i> \u2212 3<\/sup><\/span>\u304c 7 \u306e\u500d\u6570\u306e\u5834\u5408\u3001 <span>3 <sup>2 <i>n<\/i> + 2<\/sup> \u2212 2 <sup><i>n<\/i> \u2212 2<\/sup><\/span>\u306f 7 \u306e\u500d\u6570\u3067\u3059\u3002 <\/li><\/ul><dl><dd><dl><dd><div class=\"math-formual notranslate\">$$ {3^{2n+2} &#8211; 2^{n &#8211; 2} = 9\\times 3^{2n} &#8211; 2 \\times 2^{n &#8211; 3}} $$<\/div> \u3002 <\/dd><dd><div class=\"math-formual notranslate\">$$ {3^{2n+2} &#8211; 2^{n &#8211; 2} = (7+2)\\times 3^{2n} &#8211; 2 \\times 2^{n &#8211; 3}} $$<\/div> \u3002 <\/dd><dd><div class=\"math-formual notranslate\">$$ {3^{2n+2} &#8211; 2^{n &#8211; 2} = 7\\times 3^{2n} +2\\times 3^{2n} &#8211; 2 \\times 2^{n &#8211; 3}} $$<\/div> \u3002 <\/dd><dd><div class=\"math-formual notranslate\">$$ {3^{2n+2} &#8211; 2^{n &#8211; 2} = 7\\times 3^{2n} +2( 3^{2n} -2^{n &#8211; 3})} $$<\/div> \u3002<\/dd><\/dl><\/dd><dd>\u3057\u305f\u304c\u3063\u3066\u3001 <span>3 <sup>2 <i>n<\/i> + 2<\/sup> \u2212 2 <sup><i>n<\/i> \u2212 2<\/sup><\/span>\u306f 2 \u3064\u306e 7 \u306e\u500d\u6570\u306e\u5408\u8a08\u3067\u3042\u308a\u3001\u5b9f\u969b\u306b\u306f 7 \u306e\u500d\u6570\u3067\u3059\u3002<\/dd><\/dl><p>\u5927\u5b66\u306e\u6700\u521d\u306e\u30b5\u30a4\u30af\u30eb\u3067\u3001\u6570\u5b66\u306e\u5b66\u751f\u306f\u30017 \u3092<span><a href=\"https:\/\/science-hub.click\/?p=28224\">\u6cd5\u3068\u3059\u308b<\/a><\/span>2 \u3068 3 \u306e\u7d2f\u4e57\u306e\u8a08\u7b97\u3092\u4f7f\u7528\u3057\u305f<span><a href=\"https:\/\/science-hub.click\/?p=39606\">\u76f4\u63a5\u7684\u306a\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3<\/a><\/span>\u306b\u906d\u9047\u3057\u307e\u3059\u3002\u4e0a\u8a18\u306e\u8a08\u7b97\u306e\u5229\u70b9\u306f\u3001\u30b3\u30b9\u30c8\u304c\u304b\u304b\u3089\u306a\u3044\u3060\u3051\u3067\u306a\u304f\u3001\u53cd\u5fa9\u8a08\u7b97\u304c\u3067\u304d\u308b\u3053\u3068\u3067\u3059\u3002\u5546<i>u<\/i>\u3092\u6c42\u3081\u308b\u65b9\u6cd5<ub><i>n<\/i> of <span>3 <sup>2 <i>n<\/i><\/sup> \u2212 2 <sup><i>n<\/i> \u2212 3<\/sup><\/span> by 7\u3002\u5b9f\u969b\u3001\u30b7\u30fc\u30b1\u30f3\u30b9<i>u \u306f<\/i>\u6f38\u5316\u95a2\u4fc2\u3092\u691c\u8a3c\u3057\u307e\u3059\u3002<\/ub><\/p><dl><dd> <span><i>u<\/i> <sub><i>n<\/i> + 1<\/sub> = 3 <sup>2 <i>n<\/i><\/sup> + 2 <i>u<\/i> <sub><i>n<\/i><\/sub><\/span>\u304a\u3088\u3073<span><i>u<\/i> <sub>3<\/sub> = 104<\/span> \u3002<\/dd><\/dl><p>\u5e30\u7d0d\u6cd5\u306b\u3088\u308b\u65b0\u3057\u3044\u8b70\u8ad6\u306b\u3088\u308a\u3001\u6b21\u306e\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {u_n=2^{n-3}.104+\\sum_{k=3}^{n-1}3^{2n-k-2}.2^{k-3}} $$<\/div> \u3002<\/dd><\/dl><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u53cd\u5fa9\u63a8\u8ad6 - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/3I3YhN5blCk\/0.jpg\" style=\"width:100%;\"\/><\/figure><h3><span>\u53d6\u308b\u3079\u304d\u6ce8\u610f\u4e8b\u9805<\/span><\/h3><ul><li>\u521d\u671f\u5316\u3092\u5fd8\u308c\u3066\u306f\u3044\u3051\u307e\u305b\u3093\u3002\u524d\u306e\u4f8b\u306b\u623b\u308b\u3068\u3001\u300c <span>3 <sup>2 <i>n<\/i><\/sup> \u2212 2 <sup><i>n<\/i> \u2212 2<\/sup><\/span>\u306f 7 \u306e\u500d\u6570\u3067\u3042\u308b\u300d\u3068\u3044\u3046\u30d7\u30ed\u30d1\u30c6\u30a3\u306f\u907a\u4f1d\u7684\u3067\u3042\u308b\u3053\u3068\u304c\u8a3c\u660e\u3067\u304d\u307e\u3059\u304c\u3001\u305d\u308c\u306b\u3082\u304b\u304b\u308f\u3089\u305a\u3001\u521d\u671f\u5316\u3067\u304d\u306a\u3044\u305f\u3081\u507d\u3067\u3059\u3002<\/li><li>\u7d99\u627f\u306f\u3001\u30d7\u30ed\u30d1\u30c6\u30a3\u304c\u76f4\u63a5\u5b9f\u8a3c\u3055\u308c\u305f (\u521d\u671f\u5316) \u6700\u5f8c\u306e<span><i>n<\/i> <sub>0<\/sub><\/span><i>\u4ee5\u4e0a\u306e<\/i>\u6574\u6570<i>n<\/i>\u306b\u3064\u3044\u3066\u5b9f\u8a3c\u3055\u308c\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\u3002<\/li><\/ul><dl><dd>\u305f\u3068\u3048\u3070\u6b21\u306e\u3088\u3046\u306a\u5834\u5408<div class=\"math-formual notranslate\">$$ {u_n = \\frac{n^2 &#8211; n + 1}{n^2}} $$<\/div> \u3001\u3053\u306e\u30b7\u30fc\u30b1\u30f3\u30b9\u304c n = 2 \u304b\u3089\u5897\u52a0\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u89b3\u5bdf\u3067\u304d\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {u_{n+1} &#8211; u_n = \\frac{n^2 &#8211; n &#8211; 1}{n^2(n+1)^2}  width=} $$<\/div> 0&#8243;&gt;\u3002<\/dd><dd>\u305d\u308c\u3092\u8a3c\u660e\u3057\u3088\u3046\u3068\u3059\u308b\u3068\u3001 <div class=\"math-formual notranslate\">$$ {u_n \\geq 1} $$<\/div>\u3059\u3079\u3066\u306e\u305f\u3081\u306b<div class=\"math-formual notranslate\">$$ {n \\geq 1} $$<\/div> \u3001<dl><dd> <span><i>u<\/i> <sub>1<\/sub> = 1 \u3067<\/span>\u3042\u308b\u305f\u3081\u3001\u521d\u671f\u5316\u306f\u7c21\u5358\u306b\u8a3c\u660e\u3067\u304d\u307e\u3059\u3002<\/dd><dd>\u907a\u4f1d\u3082\u3042\u308a\u3001\u914d\u5217\u304c\u5897\u52a0\u3057\u3066\u3044\u308b\u305f\u3081\u3001 <div class=\"math-formual notranslate\">$$ {u_n \\geq 1} $$<\/div>\u305d\u308c\u3067<div class=\"math-formual notranslate\">$$ {u_{n+1} \\geq 1} $$<\/div> \u3002<\/dd><\/dl><\/dd><dd>\u305f\u3060\u3057\u3001\u3053\u306e\u4e0d\u7b49\u5f0f\u306f n = 1 \u306e\u5834\u5408\u306b\u306e\u307f\u5f53\u3066\u306f\u307e\u308a\u307e\u3059\u3002\u5b9f\u969b\u306b\u306f\u3001\u907a\u4f1d\u306f n \u304c 2 \u4ee5\u4e0a\u306e\u5834\u5408\u306b\u306e\u307f\u8a3c\u660e\u3055\u308c\u3066\u304a\u308a\u3001n \u304c 1 \u4ee5\u4e0a\u306e\u5834\u5408\u306b\u306f\u8a3c\u660e\u3055\u308c\u3066\u3044\u307e\u305b\u3093\u3002<\/dd><\/dl><h3><span>\u539f\u7406\u306e\u8a3c\u62e0\u306f\uff1f<\/span><\/h3><p>\u56de\u5e30\u306e\u539f\u5247\u3092\u6b63\u5f53\u5316\u3059\u308b\u6b21\u306e\u3088\u3046\u306a\u6587\u7ae0\u3092\u3088\u304f\u898b\u304b\u3051\u307e\u3059\u3002<\/p><dl><dd><i>\u3053\u306e\u539f\u5247\u306f\u5b9f\u969b\u306b\u306f\u660e\u767d\u3067\u3059\u3002\u6f38\u5316\u5247\u306b\u5fc5\u8981\u306a 2 \u3064\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u306b\u3088\u308a\u3001\u4efb\u610f\u306e\u6574\u6570\u5024\u306e\u30d7\u30ed\u30d1\u30c6\u30a3 P \u3092\u7c21\u5358\u306b\u5b9f\u8a3c\u3067\u304d\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001P \u304c\u4e21\u65b9\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u6e80\u305f\u3057\u3001P \u304c 2 \u306b\u5bfe\u3057\u3066\u771f\u3067\u3042\u308b\u3053\u3068\u3092\u8a3c\u660e\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002P \u306f 0 \u306b\u5bfe\u3057\u3066\u771f\u306a\u306e\u3067\u3001\u5f8c\u7d9a\u306e 1 \u306b\u5bfe\u3057\u3066\u3082\u771f\u3067\u3059\u3002\u3057\u304b\u3057\u3001P \u306f 1 \u306b\u5bfe\u3057\u3066\u771f\u3067\u3042\u308b\u305f\u3081\u3001\u5f8c\u7d9a\u306e 1 \u306b\u5bfe\u3057\u3066\u3082\u771f\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u30012 \u306b\u3064\u3044\u3066\u3082\u5f53\u3066\u306f\u307e\u308a\u307e\u3059\u3002\u3053\u306e\u63a8\u8ad6\u304c\u3001\u4e8b\u524d\u306b\u56fa\u5b9a\u3055\u308c\u305f\u4efb\u610f\u306e\u6574\u6570\u306b\u3064\u3044\u3066\u554f\u984c\u306a\u304f\u7d99\u7d9a\u3055\u308c\u308b\u3053\u3068\u306f\u660e\u3089\u304b\u3067\u3059\u3002<\/i> (CAML \u8a00\u8a9e\u3001Weis \u3068 Leroy \u2013 InterEditions 1993)\u3002<\/dd><\/dl><p>\u305f\u3060\u3057\u3001\u305d\u306e\u3088\u3046\u306a\u8b70\u8ad6\u306f\u6f38\u5316\u5247\u305d\u306e\u3082\u306e\u306e<span><a href=\"https:\/\/science-hub.click\/?p=52981\">\u5b9f\u8a3c<\/a><\/span>\u3092\u69cb\u6210\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002P( <i>n<\/i> ) \u304c\u3059\u3079\u3066\u306e<i>n<\/i>\u306b\u5bfe\u3057\u3066\u771f\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3059\u306b\u306f\u3001P( <i>n<\/i> ) \u3068 P( <i>n<\/i> +1 \u306e\u9593\u306e\u542b\u610f\u3092\u3059\u3079\u3066\u8a18\u8ff0\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u304b\u3089\u3067\u3059) \uff09\u305d\u3057\u3066\u3053\u308c\u306b\u306f\u7121\u9650\u306e\u6570\u306e\u5f71\u97ff\u304c\u5fc5\u8981\u306b\u306a\u308a\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u30c7\u30e2\u306f\u7d42\u308f\u3089\u305b\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u305d\u306e\u3088\u3046\u306a\u8a3c\u660e\u306f\u3001\u4e8b\u524d\u306b\u56fa\u5b9a\u3055\u308c\u305f\u6574\u6570<i>n<\/i>\u306b\u5bfe\u3057\u3066\u306e\u307f\u6709\u52b9\u3067\u3059\u3002\u518d\u767a\u4eee\u8aac\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u7406\u8ad6\u7684\u306b\u306f\u3001\u4efb\u610f\u306e\u5927\u304d\u306a\u6574\u6570\u306b\u5bfe\u3059\u308b\u8a3c\u660e\u3092\u300c\u6a5f\u68b0\u7684\u306b\u300d\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u3001\u60f3\u50cf\u529b\u306e\u52aa\u529b\u306f\u5fc5\u8981\u3042\u308a\u307e\u305b\u3093\u3002\u3057\u304b\u3057\u3001\u6f38\u5316\u539f\u7406\u304c\u306a\u3051\u308c\u3070\u3001\u6709\u9650\u500b\u306e\u6574\u6570\u306b\u3064\u3044\u3066\u306e\u307f\u3053\u308c\u3089\u306e\u8a3c\u660e\u3092\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u56de\u5e30\u306e\u539f\u7406\u306b\u3088\u308a\u3001\u5358\u4e00\u306e (\u6709\u9650\u306a) \u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3\u3001\u3064\u307e\u308a\u5404\u6574\u6570\u306b 1 \u3064\u305a\u3064\u5bfe\u5fdc\u3059\u308b\u7121\u9650\u306e\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3\u306e\u5f62\u3067\u300c\u96c6\u307e\u308b\u300d\u3053\u3068\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002<\/p><p>\u3057\u305f\u304c\u3063\u3066\u3001\u6f38\u5316\u5f0f\u306e\u539f\u7406\u306f\u672c\u8cea\u7684\u306b\u7d14\u7c8b\u306b\u8ad6\u7406\u7684\u306a\u3082\u306e\u3067\u306f\u306a\u304f\u3001\u57fa\u672c\u7684\u306b\u81ea\u7136\u6574\u6570\u306e\u96c6\u5408\u306e\u6027\u8cea\u306b\u95a2\u9023\u3057\u3066\u304a\u308a\u3001<span><a href=\"https:\/\/science-hub.click\/?p=12580\">\u96c6\u5408\u8ad6<\/a><\/span>\u306b\u304a\u3051\u308b\u5b9a\u7fa9\u3092\u307b\u307c\u63d0\u4f9b\u3057\u307e\u3059\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u53cd\u5fa9\u63a8\u8ad6 - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/dcva_fw76qY\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2><span>\u4ed6\u306e\u5f62\u5f0f\u306e\u7e70\u308a\u8fd4\u3057\u3001\u540c\u7b49\u306e\u30b9\u30c6\u30fc\u30c8\u30e1\u30f3\u30c8<\/span><\/h2><h3><span>\u6ce8\u6587 2 \u306e\u518d\u767a<\/span><\/h3><p><span><a href=\"https:\/\/science-hub.click\/?p=59585\">\u907a\u4f1d<\/a><\/span>\u306e\u5834\u5408\u3001 <i>P<\/i> ( <i>n<\/i> + 1) \u3092\u8a3c\u660e\u3059\u308b\u5834\u5408\u3001\u524d\u306e 2 \u3064\u306e\u30e9\u30f3\u30af\u3001\u3064\u307e\u308a<i>n<\/i>\u3060\u3051\u3067\u306a\u304f<i>n -1<\/i>\u306e\u7279\u6027\u3092\u4eee\u5b9a\u3059\u308b<span><a href=\"https:\/\/science-hub.click\/?p=11724\">\u5fc5\u8981\u304c\u3042\u308b<\/a><\/span>\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002\u6b21\u306e\u6f38\u5316\u5247\u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p><dl><dd>\u6b21\u306e\u5834\u5408\u3001 <i>P<\/i> ( <i>n<\/i> ) \u3092<strong>N<\/strong>\u306b\u5bfe\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u305f\u30d7\u30ed\u30d1\u30c6\u30a3\u3068\u3057\u307e\u3059\u3002<ul><li> <i>P<\/i> (0)<\/li><li> <i>P<\/i> (1)<\/li><li> [ <i>P<\/i> ( <i>n<\/i> ) \u304a\u3088\u3073<i>P<\/i> ( <i>n<\/i> +1)] \u21d2 <i>P<\/i> (n+2) (\u3059\u3079\u3066\u306e<i>n<\/i> \u2208 <strong>N<\/strong>\u306b\u3064\u3044\u3066)<\/li><\/ul><\/dd><dd>\u6b21\u306b\u3001\u3059\u3079\u3066\u306e<i>n<\/i> \u2208 <strong>N<\/strong>\u306b\u5bfe\u3057\u3066<i>P<\/i> ( <i>n<\/i> ) \u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/dd><\/dl><p>\u3053\u306e\u6027\u8cea\u306f\u3001\u81ea\u7531\u306b\u4f7f\u3048\u308b\u8ffd\u52a0\u306e\u4eee\u8aac\u304c\u3042\u308b\u305f\u3081\u3001\u5358\u7d14\u306a\u6f38\u5316\u5f0f\u3088\u308a\u3082\u5f37\u529b\u3067\u3042\u308b\u3088\u3046\u306b\u898b\u3048\u307e\u3059\u304c\u3001\u5358\u7d14\u306a\u5e30\u7d0d\u6cd5\u306b\u3088\u3063\u3066 [ <i>P<\/i> ( <i>n<\/i> ) \u304a\u3088\u3073<i>P<\/i> ( <i>n<\/i> +1) ] \u3092\u8a3c\u660e\u3059\u308b\u3053\u3068\u306b\u306a\u308b\u305f\u3081\u3001\u5b9f\u969b\u306b\u306f\u305d\u308c\u3068\u540c\u7b49\u3067\u3059\u3002\u305f\u3068\u3048\u3070\u3001<span><a href=\"https:\/\/science-hub.click\/?p=9134\">\u30d5\u30a3\u30dc\u30ca\u30c3\u30c1<\/a><\/span>\u6570\u5217\u306e\u8a18\u4e8b\u3067\u306f\u3001\u3053\u306e\u6f38\u5316\u5247\u306e\u9069\u7528\u4f8b\u3092\u793a\u3057\u307e\u3059\u3002<\/p><p>\u3082\u3061\u308d\u3093\u30013\u30014 \u306a\u3069\u306b\u4e00\u822c\u5316\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u3053\u308c\u3089\u306e\u539f\u5247\u306f\u3059\u3079\u3066\u3001\u5f37\u3044\u518d\u767a\u3068\u3082\u547c\u3070\u308c\u308b\u3001\u6b21\u306e\u518d\u767a\u539f\u5247\u306e\u7279\u6b8a\u306a\u30b1\u30fc\u30b9\u3068\u3057\u3066\u73fe\u308c\u307e\u3059\u3002<\/p><h3><span>\u5f37\u3044\u518d\u767a<\/span><\/h3><p>\u5e30\u7d0d\u6cd5\u306b\u3088\u308b\u63a8\u8ad6\u3067\u306f\u3001\u907a\u4f1d\u306b\u5bfe\u3057\u3066\u3088\u308a\u5f37\u529b\u306a\u30d0\u30fc\u30b8\u30e7\u30f3\u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002<\/p><dl><dd>\u6b21\u306e\u5834\u5408\u3001 <i>P<\/i> ( <i>n<\/i> ) \u3092<strong>N<\/strong>\u306b\u5bfe\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u305f\u30d7\u30ed\u30d1\u30c6\u30a3\u3068\u3057\u307e\u3059\u3002<ul><li> <i>P<\/i> (0)<\/li><li> [\u2200 <i>k<\/i> \u2264 <i>n<\/i> <i>P<\/i> ( <i>k<\/i> )] \u21d2 <i>P<\/i> ( <i>n<\/i> +1) (\u3059\u3079\u3066\u306e<i>n<\/i> \u2208 <strong>N<\/strong>\u306b\u3064\u3044\u3066)<\/li><\/ul><\/dd><dd>\u6b21\u306b\u3001\u4efb\u610f\u306e\u6574\u6570<i>n<\/i> \u2208 <strong>N<\/strong>\u306b\u5bfe\u3057\u3066<i>P<\/i> ( <i>n<\/i> ) \u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/dd><\/dl><p>\u3064\u307e\u308a\u3001\u6b21\u306e\u30e9\u30f3\u30af\u306e\u7279\u6027\u3092\u8a3c\u660e\u3059\u308b\u306b\u306f\u3001\u305d\u308c\u304c\u4e0b\u4f4d\u306e\u30e9\u30f3\u30af<strong>\u3059\u3079\u3066<\/strong>\u306b\u5f53\u3066\u306f\u307e\u308b\u3068\u4eee\u5b9a\u3067\u304d\u307e\u3059\u3002<\/p><p>\u7e70\u308a\u8fd4\u3057\u307e\u3059\u304c\u3001\u3053\u306e\u7279\u6027\u306f\u5358\u7d14\u306a\u518d\u5e30\u3088\u308a\u3082\u660e\u3089\u304b\u306b\u5f37\u529b\u3067\u3059\u304c\u3001\u3053\u308c\u306f\u5358\u7d14\u306a\u518d\u5e30\u306b\u3088\u3063\u3066\u7279\u6027 &#8220;\u2200 <i>k<\/i> \u2264 <i>n<\/i> <i>P<\/i> ( <i>k<\/i> )&#8221; \u3092\u5b9f\u8a3c\u3059\u308b\u3053\u3068\u306b\u306a\u308b\u305f\u3081\u3001\u5b9f\u969b\u306b\u306f\u305d\u308c\u3068\u540c\u7b49\u3067\u3059\u3002<\/p><p>\u3053\u306e\u7e70\u308a\u8fd4\u3057\u3082\u3001\u5358\u7d14\u306a\u7e70\u308a\u8fd4\u3057\u3068\u307e\u3063\u305f\u304f\u540c\u69d8\u306b\u3001\u7279\u5b9a\u306e\u30e9\u30f3\u30af\u304b\u3089\u30b7\u30d5\u30c8\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p><h4><span>\u4f7f\u7528\u4f8b<\/span><\/h4><p>2 \u4ee5\u4e0a\u306e<span><a href=\"https:\/\/science-hub.click\/?p=62281\">\u81ea\u7136\u6570<\/a><\/span>\u306b\u306f\u7d20\u7d04<span><a href=\"https:\/\/science-hub.click\/?p=39222\">\u6570<\/a><\/span>\u304c\u3042\u308b\u3053\u3068\u3092\u8a3c\u660e\u3057\u307e\u3059\u3002<\/p><ul><li> 2 \u306b\u306f\u305d\u308c\u81ea\u4f53\u3067\u3042\u308b\u7d20\u7d04\u6570\u304c\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002<\/li><li> <i>n \u3092<\/i>2 \u4ee5\u4e0a\u306e\u6574\u6570\u3068\u3057\u30012 \u304b\u3089<i>n<\/i>\u307e\u3067\u306e\u3059\u3079\u3066\u306e\u6574\u6570<i>d \u306b\u306f<\/i>\u7d20\u7d04\u6570\u304c\u3042\u308b\u3068\u4eee\u5b9a\u3057\u3001\u540c\u3058\u3053\u3068\u304c<i>n<\/i> + 1 \u306b\u3082\u5f53\u3066\u306f\u307e\u308b\u3053\u3068\u3092\u8a3c\u660e\u3057\u3088\u3046\u3068\u3057\u307e\u3059\u3002<\/li><\/ul><dl><dd>\u307e\u305f\u306f\u3001 <i>n<\/i> + 1 \u304c\u7d20\u6570\u306e\u5834\u5408\u3001\u305d\u308c\u81ea\u4f53\u304c\u7d20\u6570\u306b\u306a\u308a\u307e\u3059\u3002<\/dd><dd>\u307e\u305f\u306f\u3001 <i>n<\/i> + 1 \u304c\u5408\u6210\u3055\u308c\u30012 \u3068<i>n<\/i>\u306e\u9593\u306b 2 \u3064\u306e\u6574\u6570<i>d<\/i>\u3068<i>d&#8217; \u304c<\/i>\u5b58\u5728\u3057\u3001 <i>n + 1 = dd&#8217; \u306b\u306a\u308a\u307e\u3059\u3002<\/i>\u3053\u306e\u5834\u5408\u3001 <i>d<\/i>\u3068<i>d&#8217; \u306f<\/i>\u7d20\u6570\u3092\u6301\u3061\u3001\u305d\u308c\u3089\u306f<i>n + 1<\/i>\u306e\u7d04\u6570\u3067\u3082\u3042\u308a\u307e\u3059\u3002<\/dd><\/dl><h4><span>\u512a\u308c\u305f\u57fa\u790e<\/span><\/h4><p>\u3053\u306e\u539f\u5247\u306f\u3001\u6574\u6570 0 \u3068\u3001\u9806\u5e8f\u95a2\u4fc2\u306e\u307f\u3092\u512a\u5148\u3057\u3066<i>n+1<\/i>\u3092<i>n<\/i>\u306b\u95a2\u9023\u4ed8\u3051\u308b\u5f8c\u7d9a\u95a2\u6570\u3078\u306e\u53c2\u7167\u3092\u6392\u9664\u3059\u308b\u3088\u3046\u306a\u65b9\u6cd5\u3067\u8a00\u3044\u63db\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u5b9f\u969b\u30012 \u3064\u306e\u518d\u767a\u4eee\u8aac\u306f 1 \u3064\u306b\u7d50\u5408\u3067\u304d\u307e\u3059\u3002<\/p><dl><dd>\u6b21\u306e\u5834\u5408\u3001 <i>P<\/i> ( <i>n<\/i> ) \u3092<strong>N<\/strong>\u306b\u5bfe\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u305f\u30d7\u30ed\u30d1\u30c6\u30a3\u3068\u3057\u307e\u3059\u3002<ul><li> [\u2200 <i>k<\/i> &lt; <i>n<\/i> <i>P<\/i> ( <i>k<\/i> )] \u21d2 <i>P<\/i> ( <i>n<\/i> ) (\u3059\u3079\u3066\u306e<i>n<\/i> \u2208 <strong>N<\/strong>\u306b\u3064\u3044\u3066)<\/li><\/ul><\/dd><dd>\u6b21\u306b\u3001\u4efb\u610f\u306e\u6574\u6570<i>n<\/i> \u2208 <strong>N<\/strong>\u306b\u5bfe\u3057\u3066<i>P<\/i> ( <i>n<\/i> ) \u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/dd><\/dl><p> ( <i>n<\/i> = 0 \u306e\u5834\u5408\u3001\u4eee\u8aac\u306f\u7a7a\u3067\u3059)\u3002<\/p><p>\u6b63\u3057\u3044\u9806\u5e8f\u3068\uff08\u5341\u5206\u306b\u6839\u62e0\u306e\u3042\u308b\u9806\u5e8f\u3092\uff09\u76f4\u63a5\u4e00\u822c\u5316\u3059\u308b\u306e\u306f\u3001\u3053\u306e\u5f62\u5f0f\u306e\u56de\u5e30\u306b\u3088\u308b\u63a8\u8ad6\u3067\u3059\u3002<\/p><h3><span>\u30d5\u30a7\u30eb\u30de\u30fc\u306e\u7121\u9650\u964d\u4e0b\u539f\u7406<\/span><\/h3><p>\u518d\u767a\u3001\u7279\u306b\u5f37\u3044\u518d\u767a\u306e\u4ee3\u308f\u308a\u306b\u3001\u30d4\u30a8\u30fc\u30eb \u30d5\u30a7\u30eb\u30de\u30fc\u306b\u3088\u3063\u3066\u8aac\u660e\u3055\u308c\u305f\u7121\u9650\u964d\u4e0b\u306e\u539f\u7406\u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306b\u306f\u3001\u9069\u5207\u306a\u9806\u5e8f\u30d7\u30ed\u30d1\u30c6\u30a3 ( <strong>N<\/strong>\u306e\u7a7a\u3067\u306a\u3044\u3059\u3079\u3066\u306e\u30b5\u30d6\u30bb\u30c3\u30c8\u306b\u306f\u6700\u5c0f\u306e\u8981\u7d20\u304c\u3042\u308a\u307e\u3059) \u3092\u76f4\u63a5\u4f7f\u7528\u3059\u308b\u3053\u3068\u304c\u542b\u307e\u308c\u307e\u3059\u3002\u3053\u308c\u3082\u7e70\u308a\u8fd4\u3057\u30d7\u30ed\u30d1\u30c6\u30a3\u3068\u540c\u7b49\u3067\u3059\u3002\u5b9f\u969b\u3001\u524d\u306e\u6bb5\u843d\u3067<span>\u793a\u3057<\/span>\u305f\u9806\u5e8f\u306e\u307f\u306b\u4f9d\u5b58\u3059\u308b\u6700\u5f8c\u306e\u53cd\u5fa9\u7279\u6027\u304c\u3001\u826f\u597d\u306a\u9806\u5e8f\u306e\u7279\u6027\u3092\u5b9a\u5f0f\u5316\u3059\u308b\u5225\u306e\u65b9\u6cd5\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002<\/p><p>\u5b9f\u969b\u3001\u3059\u3079\u3066\u306e<i>n<\/i> \u2208 <strong>N<\/strong>\u306b\u5bfe\u3057\u3066\u3001\u30d7\u30ed\u30d1\u30c6\u30a3<i>P<\/i>\u306b\u3064\u3044\u3066\u6b21\u306e\u3088\u3046\u306b\u8a00\u3048\u307e\u3059\u3002<\/p><dl><dd> [ <i>\u2200k<\/i> <i>&lt;nP<\/i> <i>(<\/i> <i>k<\/i> )] <i>\u21d2P<\/i> ( <i>n<\/i> )<\/dd><\/dl><p>\u3053\u308c\u306f\u3001\u5bfe\u6bd4\u7684\u306b\u6b21\u306e\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p><dl><dd> <i>P<\/i> ( <i>n<\/i> ) \u304c\u306a\u3044 \u21d2 \u2203 <i>k<\/i> &lt; <i>n<\/i> <i>P<\/i> ( <i>k<\/i> ) \u304c\u306a\u3044<\/dd><\/dl><p>\u3064\u307e\u308a\u3001\u305d\u306e\u7279\u6027\u30bb\u30c3\u30c8\u306e\u88dc\u6570 \u2014 <i>C<\/i> <sub><i>P<\/i><\/sub> = { <i>n<\/i> \u2208 <strong>N<\/strong> | no <i>P<\/i> ( <i>n<\/i> )} \u2014 \u6700\u5c0f\u8981\u7d20\u304c\u3042\u308a\u307e\u305b\u3093\u3002<\/p><p>\u3055\u3089\u306b\u3001\u3059\u3079\u3066\u306e<i>n<\/i> \u2208 <strong>N<\/strong>\u306b\u3064\u3044\u3066\u771f\u3067\u3042\u308b\u3068<i>P<\/i>\u306b\u3064\u3044\u3066\u8a00\u3046\u3053\u3068\u306f\u3001\u4e0a\u3067\u305d\u308c\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u96c6\u5408<i>C<\/i> <sub><i>P<\/i><\/sub>\u304c\u7a7a\u3067\u3042\u308b\u3068\u8a00\u3046\u306e\u3068\u540c\u3058\u3067\u3059\u3002 <strong>N<\/strong>\u306e\u4efb\u610f\u306e\u90e8\u5206\u96c6\u5408<i>A<\/i> \u3001\u30d7\u30ed\u30d1\u30c6\u30a3<i>P<\/i> ( <i>n<\/i> )\u3001\u3064\u307e\u308a<i>n<\/i> \u2209 <i>A \u3092<\/i><i>A<\/i> = <i>C<\/i> <sub><i>P<\/i><\/sub>\u3068\u306a\u308b\u3088\u3046\u306b\u95a2\u9023\u4ed8\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u305f\u3081\u3001\u6700\u5f8c\u306e\u5f62\u5f0f\u306e\u6f38\u5316\u5f0f\u30b9\u30c6\u30fc\u30c8\u30e1\u30f3\u30c8\u3068\u6b21\u306e\u30b9\u30c6\u30fc\u30c8\u30e1\u30f3\u30c8\u306e\u9593\u306b\u306f\u7b49\u4fa1\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p><dl><dd>\u6700\u5c0f\u306e\u8981\u7d20\u3092\u6301\u305f\u306a\u3044<strong>N<\/strong>\u306e\u30b5\u30d6\u30bb\u30c3\u30c8<i>A<\/i>\u306f\u7a7a\u3067\u3059<\/dd><\/dl><p>\u305d\u308c\u306f\u79e9\u5e8f\u306e\u6027\u8cea\u306e\u5bfe\u6bd4\u306b\u307b\u304b\u306a\u308a\u307e\u305b\u3093\u3002<\/p><h2><span>\u516c\u7406\u5316<\/span><\/h2><dl><dd><i>\u4e0b\u66f8\u304d<\/i><\/dd><\/dl><p><span><a href=\"https:\/\/science-hub.click\/?p=65007\">\u30da\u30a2\u30ce\u306e\u516c\u7406<\/a><\/span>\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p><\/div><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/ar.wikipedia.org\/wiki\/%D8%A7%D8%B3%D8%AA%D9%82%D8%B1%D8%A7%D8%A1_%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A\">\u0627\u0633\u062a\u0642\u0631\u0627\u0621 \u0631\u064a\u0627\u0636\u064a \u2013 arabe<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ast.wikipedia.org\/wiki\/Inducci%C3%B3n_matem%C3%A1tica\">Inducci\u00f3n matem\u00e1tica \u2013 asturien<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/az.wikipedia.org\/wiki\/Riyazi_induksiya\">Riyazi induksiya \u2013 azerba\u00efdjanais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ba.wikipedia.org\/wiki\/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA_%D0%B8%D0%BD%D0%B4%D1%83%D0%BA%D1%86%D0%B8%D1%8F\">\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a \u0438\u043d\u0434\u0443\u043a\u0446\u0438\u044f \u2013 bachkir<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/be.wikipedia.org\/wiki\/%D0%9C%D0%B0%D1%82%D1%8D%D0%BC%D0%B0%D1%82%D1%8B%D1%87%D0%BD%D0%B0%D1%8F_%D1%96%D0%BD%D0%B4%D1%83%D0%BA%D1%86%D1%8B%D1%8F\">\u041c\u0430\u0442\u044d\u043c\u0430\u0442\u044b\u0447\u043d\u0430\u044f \u0456\u043d\u0434\u0443\u043a\u0446\u044b\u044f \u2013 bi\u00e9lorusse<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/bg.wikipedia.org\/wiki\/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B0_%D0%B8%D0%BD%D0%B4%D1%83%D0%BA%D1%86%D0%B8%D1%8F\">\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0430 \u0438\u043d\u0434\u0443\u043a\u0446\u0438\u044f \u2013 bulgare<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u53cd\u5fa9\u63a8\u8ad6 &#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=\"\u7d76\u5bfe\u306b\u7406\u89e3\u3055\u305b\u308b\u8aa4\u5dee\u9006\u4f1d\u64ad\u6cd5\u3010\u6df1\u5c64\u5b66\u7fd2\u3011\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/0itH0iDO8BE?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>\u5e30\u7d0d\u6cd5\u306b\u3088\u308b\u63a8\u8ad6\u306f\u6570\u5b66\u7684\u63a8\u8ad6\u306e\u5f62\u5f0f\u3067\u3042\u308a\u3001\u305d\u306e\u76ee\u7684\u306f\u3059\u3079\u3066\u306e\u81ea\u7136\u6574\u6570\u3001\u3088\u308a\u4e00\u822c\u7684\u306b\u306f\u7121\u9650\u306e\u81ea\u7136\u6574\u6570\u306e\u6027\u8cea\u3092\u5b9f\u8a3c\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u4efb\u610f\u306e\u6574\u6570\u3067\u691c\u8a3c\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u3088\u3046\u306b\u3059\u308c\u3070\u5341\u5206\u3067\u3042\u308b\u3068\u8ff0\u3079\u3066\u3044\u307e\u3059\u3002 0 \u3067\u3042\u308b\u3053\u3068 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":51560,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/T0gkbnRHge4\/0.jpg","fifu_image_alt":"\u53cd\u5fa9\u63a8\u8ad6 - \u5b9a\u7fa9","footnotes":""},"categories":[5],"tags":[27791,11,13,10,14,410,18928,41434,12,16,15],"class_list":["post-51559","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-aphloia","tag-techniques","tag-technologie","tag-actualite","tag-news","tag-par","tag-recurrence","tag-raisonnement-par-recurrence","tag-dossier","tag-sciences","tag-article"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/51559"}],"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=51559"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/51559\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/51560"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=51559"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=51559"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=51559"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}