{"id":41,"date":"2021-03-31T15:00:43","date_gmt":"2021-03-31T06:00:43","guid":{"rendered":"https:\/\/blog.t-kougei.ac.jp\/ueno-labo\/?p=41"},"modified":"2021-03-31T15:00:43","modified_gmt":"2021-03-31T06:00:43","slug":"%ef%bc%96%e3%80%80%e3%82%aa%e3%82%a4%e3%83%a9%e3%83%bc-%e3%83%9e%e3%82%af%e3%83%ad%e3%83%bc%e3%83%aa%e3%83%b3%e3%81%ae%e5%92%8c%e5%85%ac%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/blog.t-kougei.ac.jp\/gen\/2021\/03\/31\/41\/","title":{"rendered":"\uff16\u3000\u30aa\u30a4\u30e9\u30fc-\u30de\u30af\u30ed\u30fc\u30ea\u30f3\u306e\u548c\u516c\u5f0f"},"content":{"rendered":"<p>\u307f\u306a\u3055\u3093\u3001\u3053\u3093\u306b\u3061\u306f\u3002\u307f\u306a\u3055\u3093\u3068\u3044\u3046\u306e\u306f\u3001\u3082\u3061\u308d\u3093\u3001\u3044\u307e\u3053\u306e\u30d6\u30ed\u30b0\u3092\u8aad\u3093\u3067\u3044\u308b\u3042\u306a\u305f\u306e\u3053\u3068\u3067\u3042\u308b\u3002\u305d\u3057\u3066\u3001\u3044\u307e\u3001\u79c1\u306f\u30d6\u30ed\u30b0\u3092\u66f8\u3044\u3066\u3044\u308b\u3002\u3068\u3044\u3046\u3053\u3068\u306f\u3001\u307e\u305f\u6c34\u66dc\u65e5\u304c\u3081\u3050\u3063\u3066\u304d\u305f\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u308f\u3051\u3067\u3042\u308b\u3002<\/p>\n<p>\u4eca\u65e5\u306f\u3001\u30aa\u30a4\u30e9\u30fc-\u30de\u30af\u30ed\u30fc\u30ea\u30f3\u306e\u548c\u516c\u5f0f\u306b\u3064\u3044\u3066\u66f8\u3053\u3046\u3068\u601d\u3046\u3002\u3053\u306e\u516c\u5f0f\u3092\u3054\u5b58\u3058\u3060\u308d\u3046\u304b\u3002\u30aa\u30a4\u30e9\u30fc\u3068\u30de\u30af\u30ed\u30fc\u30ea\u30f3\u3068\u3044\u3046\u300118\u4e16\u7d00\u3092\u4ee3\u8868\u3059\u308b\u4e8c\u4eba\u306e\u6570\u5b66\u8005\u306e\u540d\u524d\u304c\u3064\u3044\u305f\u3053\u306e\u516c\u5f0f\u306f\u5b9f\u306b\u4e0d\u601d\u8b70\u306a\u516c\u5f0f\u3067\u3042\u308b\u3002\u516c\u5f0f\u81ea\u4f53\u3082\u5341\u5206\u306b\u4e0d\u601d\u8b70\u306a\u306e\u3060\u304c\u3001\u3053\u308c\u306f\u6570\u5b66\uff08\u306e\u89e3\u6790\u5b66\u3068\u3044\u3046\u5206\u91ce\uff09\u306e\u5b9f\u306b\u3055\u307e\u3056\u307e\u306a\u90e8\u5206\u3068\u3064\u306a\u304c\u3063\u3066\u3044\u308b\u3002\u3053\u306e\u3088\u3046\u306a\u3082\u306e\u304c\u3053\u306e\u4e16\u306b\u5b58\u5728\u3059\u308b\u3053\u3068\u81ea\u4f53\u304c\u5947\u8de1\u3060\u3068\u3057\u304b\u79c1\u306b\u306f\u601d\u3048\u306a\u3044\u3002<\/p>\n<p>\u548c\u516c\u5f0f\u3068\u3044\u3046\u540d\u524d\u304b\u3089\u3057\u3066\u3001\u4f55\u304b\u306e\u548c\u3092\u6c42\u3081\u308b\u516c\u5f0f\u306a\u306e\u3060\u308d\u3046\u306a\u3001\u3068\u3044\u3046\u3053\u3068\u306f\u63a8\u6e2c\u304c\u3064\u304f\u3060\u308d\u3046\u3002\u3060\u304c\u3001\u4f55\u306e\u548c\u3092\u6c42\u3081\u308b\u516c\u5f0f\u306a\u306e\u3060\u308d\u3046\u304b\u3002\u5b9f\u306f\u3001\u3053\u306e\u516c\u5f0f\u3092\u5c0e\u3044\u305f\u30aa\u30a4\u30e9\u30fc\u304c\u6700\u521d\u306b\u305f\u3066\u305f\u554f\uff08\u3068\u3044\uff09\u306f\u3001\u6b21\u306e\u3088\u3046\u306a\u554f\u984c\u3067\u3042\u308b\u3002<\/p>\n<blockquote><p>\u554f\u984c\u3000\u95a2\u6570 f(x) \u304c\u4e0e\u3048\u3089\u308c\u305f\u3068\u304d\u3001\u548c<br \/>\nS = f(1) + f(2) + &#8230; + f(n) = \\sum_{i=1}^n f(i)<br \/>\n\u306b\u5bfe\u3059\u308b\u516c\u5f0f\u3092\u898b\u3064\u3051\u3088\u3002<\/p><\/blockquote>\n<p>\u307e\u305a\u3001\u3053\u306e\u554f\u984c\u8a2d\u5b9a\u305d\u306e\u3082\u306e\u304b\u3089\u3057\u3066\u3059\u3054\u3044\u3002\u30b9\u30b4\u30b9\u30ae\u30eb\u3002\u8981\u3059\u308b\u306b\u3001\u3069\u3093\u306a\u5f0f f(x) \u304c\u4e0e\u3048\u3089\u308c\u3066\u3082\u3001\u4e0a\u306e\u548c S \u304c\u6c42\u3081\u3089\u308c\u308b\u3088\u3046\u306a\u516c\u5f0f\u3092\u898b\u3064\u3051\u306a\u3055\u3044\u3068\u3044\u3046\u3053\u3068\u306a\u306e\u3060\u304b\u3089\u3001\u9a5a\u304f\u3002\u3044\u3063\u305f\u3044\u3001\u305d\u306e\u3088\u3046\u306a\u4f01\u3066\u304c\u6210\u529f\u3059\u308b\u76ee\u8ad6\u898b\u304c\u3042\u3063\u305f\u306e\u3060\u308d\u3046\u304b\u3068\u7591\u308f\u308c\u308b\u3002<\/p>\n<p>\u3053\u308c\u304c\u3069\u306e\u304f\u3089\u3044\u30b9\u30b4\u30a4\u3053\u3068\u306a\u306e\u304b\u3092\u8aac\u660e\u3059\u308b\u305f\u3081\u306b\u3001\u9ad8\u6821\u306e\u6559\u79d1\u66f8\u3092\u898b\u3066\u307f\u3088\u3046\u3002<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001f(x) \u304c 3 x + 4 \u306e\u3088\u3046\u306a1\u6b21\u5f0f\uff081\u6b21\u95a2\u6570\uff09\u3060\u3063\u305f\u3057\u3088\u3046\u3002\u3059\u308b\u3068\u3001\u554f\u984c\u306f\u300c\u7b49\u5dee\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f\u3092\u898b\u3064\u3051\u3088\u300d\u3068\u3044\u3046\u3053\u3068\u3068\u540c\u5024\u3067\u3042\u308b\u3002\u307e\u305f\u3001f(x) \u304c\u300c\u6307\u6570\u95a2\u6570\u306e\u5b9a\u6570\u500d\u300d\u3068\u3044\u3046\u306e\u7bc4\u56f2\u306e\u95a2\u6570\u3001\u3064\u307e\u308a\u3001f(x) = A \u00d7 b^x \u306e\u5f62\u306e\u5f0f\u3060\u3063\u305f\u3068\u3057\u3066\u307f\u3088\u3046\u3002\u3059\u308b\u3068\u3001\u3053\u306e\u5834\u5408\u306b\u306f\u3001\u4e0a\u306e\u554f\u984c\u306f\u300c\u7b49\u6bd4\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f\u3092\u898b\u3064\u3051\u51fa\u305b\u300d\u3068\u3044\u3046\u3053\u3068\u306b\u306a\u308b\u3002\u3053\u308c\u3089\u306e\u548c\u516c\u5f0f\u306b\u3064\u3044\u3066\u306f\u3001\u77e5\u3063\u3066\u3044\u307e\u3059\u306d\u3002<\/p>\n<p>\u9ad8\u6821\u3067\u7fd2\u3063\u305f\uff08\u3042\u308b\u3044\u306f\u3053\u308c\u304b\u3089\u7fd2\u3046\uff09\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f\u306e\u4e3b\u306a\u3082\u306e\u306f\u3053\u306e\u4e8c\u3064\u3067\u3042\u308a\u3001\u305d\u308c\u4ee5\u5916\u306b\u3001\u6559\u79d1\u66f8\u306b\u516c\u5f0f\u3068\u3057\u3066\u8f09\u3063\u3066\u3044\u308b\u306e\u306f\u3001\u305b\u3044\u305c\u3044\u3001\u5e73\u65b9\u6570\u306e\u548c\u306e\u516c\u5f0f<\/p>\n<ul>\n<li><span style=\"color: #000000;line-height: 20px\">1^2 + 2^2 + 3^2 + &#8230; + n^2 = n (n+1) \/ 2 \u3068\u3044\u3046\u3084\u3064\u3067\u3059\u306d<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;line-height: 20px;font-family: Osaka, '\ufffdl\ufffdr \ufffdo\ufffdS\ufffdV\ufffdb\ufffdN', 'MS PGothic', sans-serif\">\u3068\u3001\u7acb\u65b9\u6570\u306e\u548c\u306e\u516c\u5f0f<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;line-height: 20px\">1^3 + 2^3 + 3^3 + &#8230; + n^3 = n (n+1) (2n+1) \/ 6 \u3068\u3044\u3046\u3084\u3064<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;line-height: 20px;font-family: Osaka, '\ufffdl\ufffdr \ufffdo\ufffdS\ufffdV\ufffdb\ufffdN', 'MS PGothic', sans-serif\">\u3050\u3089\u3044\u306a\u3082\u306e\u306a\u306e\u3060\u3002\u305d\u306e\u307b\u304b\u306b\u306f\u3001\u3061\u3087\u3063\u3068\u3057\u305f\u5de5\u592b\u3067\u548c\u304c\u6c42\u3081\u3089\u308c\u308b\u6570\u5217\u304c\u4f8b\u984c\u3042\u308b\u3044\u306f\u554f\u984c\u3068\u3057\u3066\u3044\u304f\u3064\u304b\u767b\u5834\u3059\u308b\u7a0b\u5ea6\u3067\u3042\u308b\u3002<\/span><\/p>\n<p>\u305d\u308c\u306b\u5bfe\u3057\u3066\u3001\u30aa\u30a4\u30e9\u30fc-\u30de\u30af\u30ed\u30fc\u30ea\u30f3\u306e\u548c\u516c\u5f0f\u3068\u3044\u3046\u306e\u306f\u3001\u3069\u3093\u306a\u516c\u5f0f\u306a\u306e\u304b\u307e\u3060\u8aac\u660e\u3092\u3057\u3066\u3044\u306a\u3044\u304c\u3001f(x) \u304c x \u306e<strong>\u3069\u3093\u306a<\/strong>\u95a2\u6570\u306e\u5834\u5408\u306b\u3082\u901a\u7528\u3059\u308b\u548c\u516c\u5f0f\u306a\u306e\u3060\u304b\u3089\u3001\u3053\u308c\u3092\u300c\u3059\u3054\u3044\u300d\u3068\u8a00\u308f\u305a\u3057\u3066\u3001\u3044\u3063\u305f\u3044\u4f55\u3092\u300c\u3059\u3054\u3044\u300d\u3068\u3044\u3046\u3079\u304d\u3067\u3042\u308a\u307e\u3057\u3087\u3046\u304b\uff08\u3068\u3001\u79c1\u306f\u601d\u3046\u306e\u3060\u304c\u3001\u3060\u308c\u304b\u3001\u305d\u3046\u3060\u3068\u8a00\u3063\u3066\u304f\u308c\u308b\u30d2\u30c8\u306f\u3044\u306a\u3044\u304b\u306a\uff09\u3002\u3068\u306b\u304b\u304f\u3001\u3053\u306e\u516c\u5f0f\u3092\u4f7f\u3048\u3070\u3001<\/p>\n<ul>\n<li><span style=\"color: #000000;line-height: 20px\">1 + 1\/2 + 1\/3 + 1\/4 + &#8230; + 1\/n<\/span><\/li>\n<\/ul>\n<p>\u306e\u3088\u3046\u306a\u548c\u3084\u3001<\/p>\n<ul>\n<li><span style=\"color: #000000;line-height: 20px\">log 2 + log 3 + log 4 + &#8230; + log n<\/span><\/li>\n<\/ul>\n<p>\u306e\u3088\u3046\u306a\u548c\u307e\u3067\u8a08\u7b97\u3067\u304d\u3066\u3057\u307e\u3046\uff08\u306f\u305a\u3067\u3042\u308a\u3001\u5c11\u306a\u304f\u3068\u3082\u3001\u9069\u5f53\u306a\u5834\u5408\u306b\u306f\u5b9f\u969b\u306b\u6709\u52b9\u3067\u3042\u308b\u3053\u3068\u304c\u78ba\u304b\u3081\u3089\u308c\u3066\u3044\u308b\uff09\u3068\u8a00\u3048\u3070\u3001\u305d\u306e\u3059\u3054\u3055\u304c\u308f\u304b\u3063\u3066\u3082\u3089\u3048\u308b\u3060\u308d\u3046\u304b\u3002<\/p>\n<p>\u305f\u3060\u3057\u3001\u3053\u3053\u3067\u3001\u300c\u8a08\u7b97\u3067\u304d\u3066\u3057\u307e\u3046\u300d\u3068\u306f\u3069\u3046\u3044\u3046\u3053\u3068\u304b\u306b\u3064\u3044\u3066\u3001\u5c11\u3057\u6ce8\u91c8\u304c\u5fc5\u8981\u304b\u3082\u3057\u308c\u306a\u3044\u3002\u3068\u3044\u3046\u306e\u306f\u3001\u89e3\u6790\u5b66\uff08\uff1d\u5fae\u7a4d\u5206\u6cd5\u767a\u898b\u4ee5\u964d\u306e\u6570\u5b66\uff09\u306b\u306f\u3088\u304f\u3042\u308b\u3053\u3068\u306a\u306e\u3067\u3042\u308b\u304c\u3001\u3053\u306e\u516c\u5f0f\u306e\u53f3\u8fba\u306f\u7121\u9650\u7d1a\u6570\u306b\u306a\u3063\u3066\u3044\u308b\u306e\u3067\u3042\u308b\u3002\u7121\u9650\u7d1a\u6570\u3068\u3044\u3046\u306e\u306f\u3001\u8981\u3059\u308b\u306b\u7121\u9650\u500b\u306e\u9805\u3092\u542b\u3093\u3060\u5f0f\u3068\u3044\u3046\u610f\u5473\u3067\u3001\u305d\u306e\u5024\u3092\u6b63\u78ba\u306b\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u7121\u9650\u500b\u306e\u9805\u3092\u8db3\u3055\u306a\u304f\u3066\u306f\u306a\u3089\u305a\u3001\u305d\u308c\u306b\u306f\u591a\u304f\u306e\u5834\u5408\u3001\u5de5\u592b\u304c\u3044\u308b\u3002\u3044\u307e\u3069\u304d\u306e\u300c\u30c7\u30b8\u30ab\u30e1\u300d\u306e\u3088\u3046\u306b\u3001\u8ab0\u3067\u3082\u4f7f\u3048\u308b\u516c\u5f0f\u3067\u306f\u306a\u304f\u3001\u6614\u306e\u300c\u30e9\u30a4\u30ab\u300d\u307f\u305f\u3044\u306b\u3001\u52d8\u3068\u7d4c\u9a13\u3068\u8ad6\u7406\u7684\u30bb\u30f3\u30b9\u304c\u306a\u3051\u308c\u3070\u4f7f\u3044\u3053\u306a\u305b\u306a\u3044\u516c\u5f0f\u306a\u306e\u3060\u3002<\/p>\n<p>\u3055\u3066\u3001\u3053\u306e\u3088\u3046\u306a\u3059\u3054\u3044\u516c\u5f0f\u306a\u306e\u3042\u308b\u304c\u3001\u3044\u304d\u306a\u308a\u898b\u3066\u3082\u3042\u3063\u3051\u306b\u3068\u3089\u308c\u308b\u3060\u3051\u3060\u3068\u601d\u3046\uff08\u79c1\u306e\u5834\u5408\u304c\u305d\u3046\u3060\u3063\u305f\u3002&#8212;\u3044\u3063\u305f\u3044\u3069\u3046\u3084\u3063\u3066\u3053\u3093\u306a\u3053\u3068\u3092\u601d\u3044\u3064\u3044\u305f\u306e\u304b\uff1f\u3068\u3001\u6c17\u304c\u9060\u304f\u306a\u308b\u611f\u3058\u304c\u3057\u305f\uff09\u306e\u3067\u3001\u4e00\u6b69\u305a\u3064\u3001\u5c11\u3057\u305a\u3064\u5c0e\u3044\u3066\u3044\u304f\u904e\u7a0b\u3092\u898b\u305b\u306a\u304c\u3089\u3001\u6700\u5f8c\u306b\u516c\u5f0f\u3092\u898b\u305b\u308b\u3068\u3044\u3046\u9806\u756a\u3067\u66f8\u3044\u3066\u3044\u3053\u3046\u3002<\/p>\n<p>\u307e\u3059\u3001S = f(1) + f(2) + &#8230; + f(n) \u3092\u6c42\u3081\u308b\u305f\u3081\u306b\u3001\u3053\u308c\u3092\u3072\u3068\u3064\u305a\u3089\u3057\u305f\u548c<\/p>\n<ul>\n<li>s = f(0) + f(1) + &#8230; + f(n-1)<\/li>\n<\/ul>\n<p>\u3092\u8003\u3048\u308b\u3001\u3068\u3044\u3046\u306e\u304c\u30aa\u30a4\u30e9\u30fc\u306e\u7b2c\u4e00\u306e\u30a2\u30a4\u30c7\u30a2\u3067\u3042\u308b\u3002\u3053\u308c\u306f\u3001\u305d\u3093\u306a\u306b\u4e0d\u81ea\u7136\u306a\u8003\u3048\u3067\u306f\u306a\u304f\u3001\u548c\u3092\u6c42\u3081\u308b\u3068\u304d\u306b\u306f\u8ab0\u3067\u3082\u601d\u3044\u3064\u304f\u3053\u3068\u3067\u3042\u308b\u3002\u4e00\u822c\u5316\u3057\u3066\u3044\u3046\u3068\u3001\u3042\u308b\u554f\u984c\u3092\u8003\u3048\u308b\u3068\u304d\u306b\u3001\u305d\u308c\u3068\u4f3c\u3066\u3044\u308b\u554f\u984c\u3092\u5f15\u304d\u5408\u3044\u306b\u51fa\u3057\u3066\u307f\u308b\u3002\u305f\u3068\u3048\u3070\u3001sin x \u306b\u3064\u3044\u3066\u306e\u3042\u308b\u516c\u5f0f\u3092\u8a3c\u660e\u3057\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3068\u3059\u308b\u3002\u305d\u3046\u3044\u3046\u3068\u304d\u3001\u305d\u308c\u3068\u540c\u3058\u7a0b\u5ea6\u306e\u8907\u96d1\u3055\u3092\u3082\u3064 cos x \u306b\u95a2\u3059\u308b\u516c\u5f0f\u3092\u3082\u3063\u3066\u304d\u3066\u30da\u30a2\u3092\u4f5c\u308b\u3068\u3001\u3042\u3089\u4e0d\u601d\u8b70\u3001\u7c21\u5358\u306b\u89e3\u3051\u3061\u3083\u3063\u305f\u3068\u3044\u3046\u3053\u3068\u306f\u3088\u304f\u3042\u308b\u3002\u3042\u308b\u3044\u306f\u3001A+B \u306e\u5024\u3092\u77e5\u308a\u305f\u3044\u3068\u304d\u3001\u305d\u308c\u3068\u306f\u76f4\u63a5\u95a2\u4fc2\u306f\u306a\u3044\u304c\u3001\u4f3c\u305f\u3088\u3046\u306a\u5f0f\u3068\u3057\u3066 A-B \u3092\u3082\u3063\u3066\u304d\u3066\u3001\u4e00\u7dd2\u306b\u8003\u3048\u3066\u3044\u308b\u3068\u3001\u4e21\u65b9\u306e\u7b54\u304c\u540c\u6642\u306b\u51fa\u3066\u304d\u3066\u3057\u307e\u3046\u306a\u3093\u3066\u3044\u3046\u3053\u3068\u3082\u3001\u5c11\u3057\u6570\u5b66\u306e\u4e16\u754c\u306b\u306a\u3058\u3093\u3067\u304f\u308b\u3068\u3001\u3088\u304f\u3042\u308b\u3053\u3068\u3060\u3068\u7d0d\u5f97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\u3060\u308d\u3046\u3002<\/p>\n<p>S \u3068 s \u3092\u898b\u6bd4\u3079\u3066\u3044\u308b\u3068\u3001\u5dee S &#8211; s \u3092\u8003\u3048\u3066\u307f\u305f\u304f\u306a\u308b\u306e\u304c\u4eba\u60c5\u3060\u308d\u3046\u3068\u601d\u3046\u3002\u5b9f\u969b\u3001S \u3068 s \u3068\u3067\u306f\u307b\u3068\u3093\u3069\u3059\u3079\u3066\u306e\u9805\u304c\u5171\u901a\u306a\u306e\u3067\u3001\u5dee\u3092\u3068\u308b\u3068\u6700\u521d\u3068\u6700\u5f8c\u4ee5\u5916\u306f\u6d88\u3048\u3066\u3057\u307e\u3044\u3001S &#8211; s = f(n) &#8211; f(0) \u3068\u306a\u308b\u306e\u3067\u3042\u308b\u3002<\/p>\n<p>\u3055\u3066\u3001\u6b21\u3067\u3042\u308b\u3002f(n) &#8211; f(0) \u3068\u3044\u3046\u5f0f\u306e\u5f62\u3092\u898b\u3066\u3001\u4f55\u304b\u3092\u601d\u3044\u51fa\u3055\u306a\u3044\u3060\u308d\u3046\u304b\u3002\u3082\u3057\u3001\u3042\u306a\u305f\u304c\u5fae\u7a4d\u5206\u3092\u52c9\u5f37\u3057\u305f\u9ad8\u6821\u751f\u306a\u3089\u3070\u3001<\/p>\n<ul>\n<li><span style=\"color: #000000;line-height: 20px\">f(n) &#8211; f(0) = \\int f'(x) dx\u3000\uff08x = 0 \u3002\u3002\u3002 n\uff09<\/span><\/li>\n<\/ul>\n<p>\u3068\u5909\u5f62\u3067\u304d\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u306f\u305a\u3060\u3002\u3064\u307e\u308a\u3001\u5c0e\u95a2\u6570 f'(x) \u3092 0 \u304b\u3089 n \u307e\u3067\uff08\u3064\u307e\u308a\u3001\u533a\u9593 [0, 1] \u3067\uff09\u7a4d\u5206\u3059\u308b\u3068\u3001f(x) \u306e\u5883\u754c\u5024\uff08\u3064\u307e\u308a\u3001\u533a\u9593\u306e\u4e21\u7aef\u3067\u306e\u5024\uff09\u306e\u5dee\u306b\u306a\u308b\u306e\u3067\u3042\u308b\u3002\u3053\u308c\u304c\u5fae\u7a4d\u5206\u5b66\u306e\u57fa\u672c\u5b9a\u7406\u3068\u8a00\u308f\u308c\u308b\u3082\u306e\u3067\u3001\u3064\u307e\u308a\u3001\u7a4d\u5206\u306e\u8003\u3048\u65b9\u306e\u672c\u8cea\u3067\u3042\u308b\u3002<\/p>\n<p>\u3068\u3053\u308d\u3067\u3001\u5dee f(n) &#8211; f(0) \u306b\u306f\u3082\u3046\u4e00\u3064\u306e\u8868\u3057\u65b9\u304c\u3042\u308b\u306e\u306f\u77e5\u3063\u3066\u3044\u308b\u3060\u308d\u3046\u304b\u3002\u30d2\u30f3\u30c8\u3092\u51fa\u305d\u3046\u3002\u4e0a\u3067\u306f\u3053\u306e\u5dee\u3092\u7a4d\u5206\u306e\u5f62\u3067\u8868\u3057\u305f\u304c\u3001\u5b9f\u306f\u5fae\u5206\u3092\u4f7f\u3063\u305f\u8868\u73fe\u6cd5\u3082\u3042\u308b\u306e\u3060\u3002\u305d\u308c\u306f<\/p>\n<ul>\n<li>f(x) = f(0) + f'(0) x + f&#8221;(0) x^2 \/ 2! + f&#8221;'(0) x^3 \/ 3! + &#8230;\u3000\uff08\u7121\u9650\u548c\uff09<\/li>\n<\/ul>\n<p>\u3068\u3044\u3046\u516c\u5f0f\u3067\u3042\u308b\u3002\u79fb\u9805\u3059\u308c\u3070\u3001f(x) &#8211; f(0) = \uff08\u307b\u306b\u3083\u3089\u304b\uff09\u3068\u3044\u3046\u5f62\u306b\u3059\u3050\u5909\u5f62\u3067\u304d\u308b\u306e\u306f\u826f\u3044\u3060\u308d\u3046\u3002\u3053\u308c\u3092 f(x) \u306e\u300c\u30de\u30af\u30ed\u30fc\u30ea\u30f3\u7d1a\u6570\u300d\u306b\u3088\u308b\u8868\u793a\u3068\u3044\u3046\u3002\u3053\u306e\u516c\u5f0f\u3001\u3042\u308b\u3044\u306f\u3001\u3082\u3063\u3068\u4e00\u822c\u306b\u30c6\u30a4\u30e9\u30fc\u7d1a\u6570\u306b\u3088\u308b\u8868\u793a\u5f0f<\/p>\n<ul>\n<li><span style=\"color: #000000;line-height: 20px\">f(x) = f(x_0) + f'(x_0) (x-x_0) +f&#8221;(x_0) (x-x_0)^2 \/ 2! + f&#8221;'(x_0) (x-x_0)^3 \/ 3! + &#8230;\u3000\uff08\u7121\u9650\u548c\uff09<\/span><\/li>\n<\/ul>\n<p>\u306f\u3001\u5148\u307b\u3069\u306e\u7a4d\u5206\u8868\u793a\u306b\u8ca0\u3051\u305a\u52a3\u3089\u305a\u81ea\u7136\u306a\u5f0f\u3067\u3042\u308b\u3057\u3001\u5b9f\u969b\u3001\u9ad8\u6821\u306e\u6559\u79d1\u66f8\u306e\u4ed8\u9332\u3042\u305f\u308a\u306b\u8f09\u3063\u3066\u3044\u308b\u3053\u3068\u304c\u591a\u3044\u306e\u3067\u3001\u3044\u307e\u306f\u3001\u3053\u308c\u306f\u77e5\u3063\u3066\u3044\u308b\u3082\u306e\u3068\u3059\u308b\u3002\u3053\u306e\u516c\u5f0f\u3092 f(n) &#8211; f(0) \u306b\u4f7f\u3046\u306e\u3067\u306f\u306a\u304f\u3066\u3001<\/p>\n<ul>\n<li><span style=\"color: #000000;line-height: 20px\">S &#8211; s = \\sum (f(i) &#8211; f(i-1)) = &#8211; \\sum (f(i-1) &#8211; f(i))\u3000\uff08i = 1 &#8230; n\uff09<\/span><\/li>\n<\/ul>\n<p>\u306e\u305d\u308c\u305e\u308c\u306e\u9805\u306b\u5bfe\u3057\u3066\u7528\u3044\u3088\u3046\u3002\u305d\u3046\u3059\u308b\u3068\uff08x_0 = i\u3001x = i &#8211; 1 \u3068\u3057\u3066\u30c6\u30a4\u30e9\u30fc\u7d1a\u6570\u306e\u5f0f\u306b\u3042\u3066\u306f\u3081\u3066\uff09\u3001<\/p>\n<ul>\n<li><span style=\"color: #000000;line-height: 20px\">S &#8211; s = &#8211; \\sum(i=1,&#8230;,n) ( -f'(i)\u3000+ f&#8221;(i) \/ 2! &#8211; f&#8221;'(i) \/ 3! + &#8230; )<\/span><\/li>\n<\/ul>\n<p>\u3068\u306a\u308b\u3002\u4ee5\u4e0a\u304b\u3089\u3001\u7d50\u5c40<\/p>\n<ul>\n<li>\\int(x=0,&#8230;,n) f'(x) dx\u3000= \\sum f'(i)\u3000- 1 \/ 2!\u00a0\\sum f&#8221;(i) + 1 \/ 3!\u00a0\\sum f&#8221;'(i) \u00a0&#8211; &#8230;<\/li>\n<\/ul>\n<p>\u3068\u306a\u308b\u3053\u3068\u304c\u308f\u304b\u3063\u305f\u3002\u3053\u3053\u3067\u3001\u53f3\u8fba\u306e \\sum \u306f\u9762\u5012\u306a\u306e\u3067\u5f0f\u306e\u4e2d\u3067\u306f\u7701\u7565\u3057\u3066\u3042\u308b\u304c\u3001\u3059\u3079\u3066 i=1,&#8230;,n\u00a0\u306b\u308f\u305f\u308b\u548c\u3067\u3042\u308b\u3002<\/p>\n<p>\u3053\u3053\u3067\u3001\u3061\u3087\u3063\u3068\u3060\u3051\u3053\u306e\u5f0f\u3092\u4f7f\u3044\u3084\u3059\u3044\u5f62\u306b\u5909\u3048\u3066\u304a\u304f\u3002\u3053\u306e\u5f0f\u306e\u4e21\u8fba\u306b\u3042\u308b f(x) \u3092\u4e00\u6589\u306b f(x) \u306e\u539f\u59cb\u95a2\u6570\u306b\u7f6e\u304d\u63db\u3048\u308b\u306e\u3067\u3042\u308b\u3002<\/p>\n<p>\u5c11\u3057\u3060\u3051\u8a00\u3044\u8a33\u3092\u3057\u3066\u304a\u304f\u3068\u3001\u3053\u306e\u7b49\u5f0f\u306f f(x) \u304c\u3069\u3093\u306a\u95a2\u6570\u3067\u3042\u3063\u3066\u3082\u6210\u308a\u7acb\u3064\u306e\u3067\u3042\u3063\u305f\u3002\u5b9f\u969b\u3001\u3053\u3053\u307e\u3067\u306e\u5f0f\u5909\u5f62\u306f\u3001\u79fb\u9805\u3001\u30c6\u30a4\u30e9\u30fc\u5c55\u958b\u3001\u62ec\u5f27\u3092\u5916\u3059\u5909\u5f62\uff08\u5206\u914d\u6cd5\u5247\uff09\u306a\u3069\u3057\u304b\u4f7f\u3063\u3066\u304a\u3089\u305a\u3001f(x) \u306e\u5177\u4f53\u7684\u306a\u5f62\u304c\u4f55\u3067\u3042\u308b\u304b\u3068\u3044\u3046\u60c5\u5831\u306f\u3044\u3063\u3055\u3044\u3069\u3053\u3067\u3082\u4f7f\u3063\u3066\u3044\u306a\u3044\u3002\u306a\u306e\u3067\u3001f(x) \u3092\u5225\u306e\u95a2\u6570\uff08\u3068\u3044\u3063\u3066\u3082\u7121\u9650\u56de\u5fae\u5206\u53ef\u80fd\u306a\u3069\u306e\u6761\u4ef6\u306f\u4eee\u5b9a\u3057\u3066\uff09\u306b\u53d6\u308a\u66ff\u3048\u3066\u3082\u3001\u4f9d\u7136\u3068\u3057\u3066\u6210\u308a\u7acb\u3064\u306f\u305a\u3067\u3042\u308b\u3002<\/p>\n<p>\u8981\u3059\u308b\u306b\u3001\u5f0f\u306e\u5f62\u306e\u4e0a\u3067\u3001f&#8217; \u3092 f \u306b\u3001f&#8221; \u3092 f&#8217; \u306b\u3001\u306a\u3069\u306a\u3069\u3068\u3001\u66f8\u304d\u304b\u3048\u308b\u3060\u3051\u306a\u306e\u3067\u3001<\/p>\n<ul>\n<li>\\int(x=0,&#8230;,n) f(x) dx\u3000= \\sum f(i)\u3000- 1 \/ 2!\u00a0\\sum f'(i) + 1 \/ 3!\u00a0\\sum f&#8221;(i) \u00a0&#8211; &#8230; (^^)<\/li>\n<\/ul>\n<p>\u3068\u306a\u308b\u3002<\/p>\n<p>\u3053\u308c\u306f\u91cd\u8981\u306a\u5f0f\u3067\u3042\u308a\u3001\u5f8c\u306e\u5f0f\u5909\u5f62\u3067\u305f\u3073\u305f\u3073\u5f15\u7528\u3059\u308b\u306e\u3067\u732b\u3061\u3083\u3093\u30de\u30fc\u30af (^^\uff09 \u3092\u3064\u3051\u3066\u304a\u304f\u3002<\/p>\n<p>\u3053\u3053\u307e\u3067\u304c\u3001\u3044\u3061\u304a\u3046\u3001\u30aa\u30a4\u30e9\u30fc\u306e\u7b2c\u4e00\u306e\u30a2\u30a4\u30c7\u30a2\u3068\u3001\u305d\u306e\u30a2\u30a4\u30c7\u30a2\u3092\u5b9f\u884c\u3057\u3066\u308f\u304b\u308b\u7d50\u679c\u3067\u3042\u308b\u3002<\/p>\n<p>\u3053\u306e\u5f0f (^^) \u306f\u4eca\u56de\u306e\u30c6\u30fc\u30de\u3067\u3042\u308b\u30aa\u30a4\u30e9\u30fc-\u30de\u30af\u30ed\u30fc\u30ea\u30f3\u306e\u548c\u516c\u5f0f\u305d\u306e\u3082\u306e\u3067\u306f\u306a\u304f\u3001\u305d\u306e\u524d\u6bb5\u968e\u3067\u3042\u308b\u3002<\/p>\n<p>\u3053\u306e\u5f0f(^^)\u306e\u610f\u5473\u3092\u56f3\u793a\u3057\u3066\u307f\u308b\u3068\u9762\u767d\u3044\u3002\u7a4d\u5206\u306f\u30b0\u30e9\u30d5\u306e\u4e0b\u306e\u9762\u7a4d\u3092\u8868\u3059\u306e\u3060\u3063\u305f\u3002\u95a2\u6570 f(x) \u304c\u6b63\u3067\u5358\u8abf\u5897\u52a0\u3067\u3042\u308b\u5834\u5408\u3068\u3001\u6b63\u3067\u5358\u8abf\u6e1b\u5c11\u3067\u3042\u308b\u5834\u5408\u306e\u305d\u308c\u305e\u308c\u306b\u6982\u5ff5\u56f3\u3092\u63cf\u3044\u3066\u307f\u308b\u3068\u3001\u56f3\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n<p>\uff08\u3053\u3053\u306b\u56f3\u3092\u5165\u308c\u308b\uff09<\/p>\n<p>\u53f3\u8fba\u306e\uff11\u9805\u76ee\u3068\uff12\u9805\u76ee\u307e\u3067\u306e\u610f\u5473\u304c\u56f3\u793a\u3055\u308c\u3066\u3044\u308b\u3002\u8981\u3059\u308b\u306b\u3001\u30b0\u30e9\u30d5\u306e\u4e0b\u306e\u9762\u7a4d\uff08\u5b9a\u7a4d\u5206\u3067\u8868\u308f\u3055\u308c\u308b\uff09\u5bfe\u5fdc\u3059\u308b\u68d2\u30b0\u30e9\u30d5\uff08\u5c0f\u5b66\u6821\u7684\u306a\u8a00\u3044\u65b9\u3067\u3059\u306d\uff09\u306e\u9762\u7a4d\u3068\u3001\u68d2\u30b0\u30e9\u30d5\u306e\u68d2\u306e\u5148\u306e\u90e8\u5206\u306e\u4e09\u89d2\u5f62\u306e\u3088\u3046\u306a\u9818\u57df\u306e\u9762\u7a4d\u306b\u5206\u3051\u3066\u8003\u3048\u308b\u3068\u3001\u68d2\u30b0\u30e9\u30d5\u306e\u9762\u7a4d\u306f\u6700\u521d\u306e\u548c\u306b\u4ed6\u306a\u3089\u305a\u3001\u68d2\u306e\u5148\u306e\u305d\u308c\u305e\u308c\u306e\u76f4\u89d2\u4e09\u89d2\u5f62\u306e\u3088\u3046\u306a\u5f62\u306e\u659c\u8fba\uff08\u5272\u7dda\uff09\u3092\u3001\u5404\u70b9\u3067\u306e\u63a5\u7dda\u3067\u8fd1\u4f3c\u3057\u305f\u3082\u306e\u304c\uff12\u756a\u76ee\u306e\u548c\u3067\u3042\u308b\u3068\u3044\u3046\u308f\u3051\u3067\u3042\u308b\u3002\u4fc2\u6570\u3068\u3057\u3066 1\/2 \u304c\u767b\u5834\u3057\u3066\u3044\u308b\u306e\u306f\u3001\u5c0f\u5b66\u6821\u3067\u7fd2\u3063\u305f\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u306e\u516c\u5f0f\uff08\u5e95\u8fba\u00d7\u9ad8\u3055\u00f7\uff12\uff09\u306e\u300c\u00f7\uff12\u300d\u306b\u307e\u3055\u3057\u304f\u5bfe\u5fdc\u3057\u3066\u3044\u308b\u308f\u3051\u3067\u3042\u308b\u3002<\/p>\n<p>\u4eca\u9031\u306f\u75b2\u308c\u305f\u306e\u3067\u3001\u3053\u306e\u8fba\u306b\u3057\u3066\u304a\u3053\u3046\u3002\u6b21\u56de\u306f\u3001\u3044\u3088\u3044\u3088\u30aa\u30a4\u30e9\u30fc\u306e\u7b2c2\u306e\u30a2\u30a4\u30c7\u30a2\u304c\u767b\u5834\u3059\u308b\u3002\u305d\u308c\u306b\u5f93\u3063\u3066\u5b9f\u969b\u306b\u8a08\u7b97\u3092\u5b9f\u884c\u3059\u308b\u3068\u3001\u6c42\u3081\u308b\u548c\u516c\u5f0f\u3092\u5c0e\u304f\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n<p>\uff08\u3053\u306e\u9805\u304a\u3057\u307e\u3044\uff09<\/p>\n","protected":false},"excerpt":{"rendered":"\u307f\u306a\u3055\u3093\u3001\u3053\u3093\u306b\u3061\u306f\u3002\u307f\u306a\u3055\u3093\u3068\u3044\u3046\u306e\u306f\u3001\u3082\u3061\u308d\u3093\u3001\u3044\u307e\u3053\u306e\u30d6\u30ed\u30b0\u3092\u8aad\u3093\u3067\u3044\u308b\u3042\u306a\u305f\u306e\u3053\u3068\u3067\u3042\u308b\u3002\u305d\u3057\u3066\u3001\u3044\u307e\u3001\u79c1\u306f\u30d6\u30ed\u30b0\u3092\u66f8\u3044\u3066\u3044\u308b\u3002\u3068\u3044\u3046\u3053\u3068\u306f\u3001\u307e\u305f\u6c34\u66dc\u65e5\u304c\u3081\u3050\u3063\u3066\u304d\u305f\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u308f\u3051\u3067\u3042\u308b\u3002 \u4eca\u65e5\u306f\u3001\u30aa\u30a4\u30e9\u30fc- 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