{"id":3027,"date":"2020-07-24T20:55:34","date_gmt":"2020-07-24T11:55:34","guid":{"rendered":"https:\/\/www.ktech.biz\/jp\/?p=3027"},"modified":"2022-11-20T18:08:02","modified_gmt":"2022-11-20T09:08:02","slug":"6-inter-1","status":"publish","type":"post","link":"https:\/\/www.ktech.biz\/jp\/num\/6-inter-1\/","title":{"rendered":"6. \u88dc\u9593 (1) \u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593, \u30a8\u30eb\u30df\u30fc\u30c8\u88dc\u9593, \u76f4\u4ea4\u591a\u9805\u5f0f\u88dc\u9593"},"content":{"rendered":"

\u76ee\u6b21<\/h3>\n

\u88dc\u9593 (1): \u591a\u9805\u5f0f\u88dc\u9593, \u30a8\u30eb\u30df\u30fc\u30c8\u88dc\u9593, \u76f4\u4ea4\u591a\u9805\u5f0f\u88dc\u9593
\n\u88dc\u9593 (2): \u30b9\u30d7\u30e9\u30a4\u30f3\u88dc\u9593 (\u672a\u5b8c)
\n\u88dc\u9593 (3): \u5b9f\u7528\u30eb\u30fc\u30c1\u30f3\u306e\u30d9\u30f3\u30c1\u30de\u30fc\u30af (\u5b9f\u7528\u30eb\u30fc\u30c1\u30f3\u306e\u9078\u629e, \u6027\u80fd\u6bd4\u8f03) (\u672a\u5b8c)<\/p>\n

\u591a\u9805\u5f0f\u88dc\u9593<\/span>\u30a8\u30eb\u30df\u30fc\u30c8\u88dc\u9593<\/span>\u76f4\u4ea4\u591a\u9805\u5f0f\u88dc\u9593<\/span><\/div>
\n

\u591a\u9805\u5f0f\u88dc\u9593<\/h2>\n

\u533a\u9593 [a, b] \u5185\u306e n + 1 \u500b\u306e\u76f8\u7570\u306a\u308b\u70b9 x0<\/sub>, x1<\/sub>, …, xn<\/sub> \u306b\u304a\u3051\u308b\u95a2\u6570 f(x) \u306e\u5024 f(x0<\/sub>), f(x1<\/sub>), …, f(xn<\/sub>) \u304c\u30c7\u30fc\u30bf\u3068\u3057\u3066\u4e0e\u3048\u3089\u308c\u3066\u3044\u308b\u3068\u304d, \u3053\u308c\u3089\u306e\u70b9\u306b\u304a\u3051\u308b\u5024\u304c\u30c7\u30fc\u30bf\u306b\u4e00\u81f4\u3059\u308b\u3088\u3046\u306a\u8fd1\u4f3c\u5f0f\u3092 f(x) \u306e\u88dc\u9593\u5f0f\u3068\u3044\u3046. \u3053\u308c\u3089 n + 1 \u500b\u306e\u70b9\u3092\u6a19\u672c\u70b9\u3042\u308b\u3044\u306f\u88dc\u9593\u70b9\u3068\u3044\u3046. \u88dc\u9593\u5f0f\u306f x0<\/sub>, …, xn<\/sub> \u4ee5\u5916\u306e\u70b9\u306b\u304a\u3051\u308b\u5024\u3092\u63a8\u6e2c\u3059\u308b\u305f\u3081\u306b\u7528\u3044\u3089\u308c\u308b. \u305f\u3060\u3057, a = min(x0<\/sub>, …, xn<\/sub>), b = max(x0<\/sub>, …, xn<\/sub>) \u3067\u3042\u308b.<\/p>\n

x \u304c [a, b] \u5185\u306b\u3042\u308b\u3068\u304d\u306b\u300c\u88dc\u9593\u300d(\u3042\u308b\u3044\u306f\u300c\u5185\u633f\u300d), x \u304c [a, b] \u306e\u5916\u306b\u3042\u308b\u3068\u304d\u306b\u300c\u88dc\u5916\u300d(\u3042\u308b\u3044\u306f\u300c\u5916\u633f\u300d) \u3068\u3044\u3046\u3053\u3068\u304c\u3042\u308b.<\/p>\n

\u8a08\u7b97\u304c\u96e3\u3057\u3044(\u3042\u308b\u3044\u306f, \u6642\u9593\u304c\u304b\u304b\u308b)\u95a2\u6570 f(x) \u3092\u8a08\u7b97\u3057\u3084\u3059\u3044\u88dc\u9593\u5f0f\u3067\u4ee3\u66ff\u3059\u308b\u3068\u3044\u3063\u305f\u4f7f\u3044\u65b9\u3092\u3059\u308b\u5834\u5408\u306f\u300c\u95a2\u6570\u8fd1\u4f3c\u300d\u3078\u306e\u5fdc\u7528\u3068\u307f\u308b\u3053\u3068\u304c\u3067\u304d\u308b.<\/p>\n

\u591a\u9805\u5f0f\u88dc\u9593<\/h3>\n

\u88dc\u9593\u5f0f\u3068\u3057\u3066\u591a\u9805\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u3082\u306e\u3092\u591a\u9805\u5f0f\u88dc\u9593\u3068\u3044\u3046.<\/p>\n

n \u6b21\u591a\u9805\u5f0f pn<\/sub>(x) \u3092\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3059\u308b.<\/p>\n

  \r\n  pn<\/sub>(x) = a0<\/sub>xn<\/sup> + a1<\/sub>xn-1<\/sup> +  ... an-1<\/sub>x + an<\/sub>\r\n\r\n<\/pre>\n
 
\nn + 1 \u500b\u306e\u76f8\u7570\u306a\u308b\u70b9 x0<\/sub>, x1<\/sub>, …, xn<\/sub> \u306b\u304a\u3051\u308b\u95a2\u6570\u5024 f(x0<\/sub>), f(x1<\/sub>), …, f(xn<\/sub>) \u304c\u4e0e\u3048\u3089\u308c\u3066\u3044\u308b\u3068\u304d, \u6b21\u306e\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3053\u3068\u306b\u3088\u308a n \u6b21\u591a\u9805\u5f0f pn<\/sub>(x) \u306e\u4fc2\u6570 a0<\/sub>, a1<\/sub>, …, an<\/sub> \u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b.<\/p>\n
  \r\n  Va = f\r\n\r\n<\/pre>\n
 
\n\u305f\u3060\u3057,<\/p>\n
  \r\n      ( x0<\/sub>n<\/sup>  x0<\/sub>n-1<\/sup>  ...  1 )       ( a0<\/sub>  )       ( f0<\/sub>  )\r\n  V = ( x1<\/sub>n<\/sup>  x1<\/sub>n-1<\/sup>  ...  1 ),  a = ( a1<\/sub>  ),  f = ( f1<\/sub>  )\r\n      (       ...          )       ( ... )       ( ... )\r\n      ( xn<\/sub>n<\/sup>  xn<\/sub>n-1<\/sup>  ...  1 )       ( an<\/sub>  )       ( fn<\/sub>  )\r\n\r\n<\/pre>\n
 
\n\u3053\u3053\u3067, V \u306f\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306e\u4fc2\u6570\u884c\u5217, f \u306f\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306e\u53f3\u8fba\u30d9\u30af\u30c8\u30eb(\u5404\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u5024 fi<\/sub> = f(xi<\/sub>) \u3092\u8868\u3059), a \u306f\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306e\u89e3\u30d9\u30af\u30c8\u30eb(\u591a\u9805\u5f0f\u306e\u4fc2\u6570)\u3068\u306a\u308b.<\/p>\n
V \u306f\u30d5\u30a1\u30f3\u30c7\u30eb\u30e2\u30f3\u30c9\u884c\u5217\u3068\u547c\u3070\u308c\u308b\u5f62\u3092\u3057\u3066\u3044\u308b. \u30d5\u30a1\u30f3\u30c7\u30eb\u30e2\u30f3\u30c9\u884c\u5217\u306e\u884c\u5217\u5f0f\u306f\u6b21\u5f0f\u3067\u6c42\u3081\u3089\u308c\u308b\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u3044\u308b.<\/p>\n
  \r\n  det(V) = \u03a0(xi<\/sub> - xj<\/sub>) (0 ≤ i < j ≤ n)\r\n\r\n<\/pre>\n
 
\nx0<\/sub>, x1<\/sub>, …, xn<\/sub> \u304c\u76f8\u7570\u306a\u308b\u70b9\u3067\u3042\u308c\u3070, \u4e0a\u5f0f\u3088\u308a det(V) ≠ 0 \u3067\u3042\u308b. \u3059\u306a\u308f\u3061, \u4e0a\u306e\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306f\u89e3\u3092\u6301\u3064. \u3053\u306e n \u6b21\u591a\u9805\u5f0f pn<\/sub>(x) \u3092\u88dc\u9593\u5f0f\u3068\u3057\u3066\u63a1\u7528\u3059\u308b.<\/p>\n
\u6570\u5024\u5b9f\u9a13 (1)<\/h3>\n
\u533a\u9593 [-1, 1] \u306b\u304a\u3044\u3066\u6b21\u306e\u6307\u6570\u95a2\u6570\u3092\u591a\u9805\u5f0f\u88dc\u9593\u3059\u308b.<\/p>\n
  \r\n  f(x) = 2ex - 1<\/sup> - 1\r\n\r\n<\/pre>\n
 
\nn = 2 \uff5e 5 \u3068\u3057\u3066(\u3059\u306a\u308f\u3061, 2 \uff5e 5 \u6b21\u591a\u9805\u5f0f\u3092\u7528\u3044\u3066)\u88dc\u9593\u3092\u884c\u3046. \u305f\u3060\u3057, \u533a\u9593 [-1, 1] \u3092 n \u7b49\u5206\u3057\u3066, \u4e21\u7aef\u3092\u542b\u3081\u7b49\u9593\u9694\u306b\u4e26\u3093\u3060 n + 1 \u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u5024\u3092\u30c7\u30fc\u30bf\u3068\u3057\u3066\u4f7f\u7528\u3059\u308b\u3053\u3068\u306b\u3059\u308b. (\u591a\u9805\u5f0f\u88dc\u9593\u3068\u3057\u3066\u306f\u5404\u6a19\u672c\u70b9\u304c\u76f8\u7570\u306a\u3063\u3066\u3044\u308c\u3070\u3088\u304f\u7b49\u9593\u9694\u3067\u3042\u308b\u5fc5\u8981\u306f\u306a\u3044\u304c, \u6570\u8868\u306a\u3069\u3092\u60f3\u5b9a\u3059\u308c\u3070\u3053\u306e\u3088\u3046\u306b\u6a19\u672c\u70b9\u3092\u9078\u3076\u306e\u306f\u81ea\u7136\u3067\u3042\u308b).<\/p>\n
\u4e0a\u306e\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u3066\u591a\u9805\u5f0f\u306e\u4fc2\u6570\u3092\u6c42\u3081, \u533a\u9593\u5185\u306b\u304a\u3051\u308b\u591a\u9805\u5f0f\u306e\u5024\u3092\u30d7\u30ed\u30c3\u30c8\u3059\u308b. \u6a2a\u8ef8\u306f x, \u7e26\u8ef8\u306f\u95a2\u6570\u5024\u3067\u3042\u308b.<\/p>\n
\"\"
\n\"\"<\/p>\n
\u591a\u9805\u5f0f\u306e\u6b21\u6570\u304c\u4e0a\u304c\u308b\u3068\u7cbe\u5ea6\u3082\u4e0a\u304c\u3063\u3066\u3044\u304d, x = 0.65 \u4ed8\u8fd1\u3067\u307f\u308b\u3068 2 \uff5e 5 \u6b21\u591a\u9805\u5f0f\u306f\u305d\u308c\u305e\u308c 1 \uff5e 4 \u6841\u7a0b\u5ea6\u4e00\u81f4\u3057\u3066\u3044\u308b.<\/p>\n
\u6b21\u306b, \u591a\u9805\u5f0f\u88dc\u9593\u3067\u306f\u3069\u3093\u306a\u95a2\u6570\u306b\u3064\u3044\u3066\u3082\u7cbe\u5ea6\u3092\u4e0a\u3052\u305f\u3044\u3068\u304d\u306b\u306f\u6b21\u6570\u3092\u4e0a\u3052\u3066\u3044\u3051\u3070\u3088\u3044\u3068\u3044\u3046\u308f\u3051\u3067\u306f\u306a\u3044\u3053\u3068\u3092\u793a\u3059.<\/p>\n
\u6570\u5024\u5b9f\u9a13 (2)<\/h3>\n
\u533a\u9593 [-1, 1] \u306b\u304a\u3044\u3066\u6b21\u306e\u95a2\u6570(\u30eb\u30f3\u30b2\u306e\u95a2\u6570\u3068\u3044\u3046)\u3092\u591a\u9805\u5f0f\u88dc\u9593\u3059\u308b.<\/p>\n
  \r\n  f(x) = 1\/(1 + 25x2<\/sup>)\r\n\r\n<\/pre>\n
 
\nn = 4, 8, 12, 20 \u3068\u3057\u3066(\u3059\u306a\u308f\u3061, 4, 8, 12, 20 \u6b21\u591a\u9805\u5f0f\u3092\u7528\u3044\u3066)\u88dc\u9593\u3092\u884c\u3046. \u305f\u3060\u3057, \u533a\u9593 [-1, 1] \u3092 n \u7b49\u5206\u3057\u3066, \u4e21\u7aef\u3092\u542b\u3081\u7b49\u9593\u9694\u306b\u4e26\u3093\u3060 n + 1 \u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u5024\u3092\u30c7\u30fc\u30bf\u3068\u3057\u3066\u4f7f\u7528\u3059\u308b.<\/p>\n
\u4e0a\u306e\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u3066\u591a\u9805\u5f0f\u306e\u4fc2\u6570\u3092\u6c42\u3081, \u533a\u9593\u5185\u306b\u304a\u3051\u308b\u591a\u9805\u5f0f\u306e\u5024\u3092\u30d7\u30ed\u30c3\u30c8\u3059\u308b. \u6a2a\u8ef8\u306f x, \u7e26\u8ef8\u306f\u95a2\u6570\u5024\u3067\u3042\u308b.<\/p>\n
\"\"<\/p>\n
n \u304c\u5927\u304d\u304f\u306a\u308b\u3068\u4e21\u7aef\u3067\u767a\u6563\u3057\u305f(\u30eb\u30f3\u30b2\u306e\u73fe\u8c61\u3068\u3044\u3046). \u5b9f\u306f\u6700\u5927\u8aa4\u5dee\u3060\u3051\u3092\u898b\u308b\u3068(\u3059\u3079\u3066\u306e n \u306e\u4e2d\u3067) n = 4 \u306e\u3068\u304d\u304c\u6700\u5c0f\u306b\u306a\u308a\u305d\u308c\u4ee5\u4e0a\u3060\u3068\u304b\u3048\u3063\u3066\u60aa\u304f\u306a\u308b. \u305f\u3060\u3057, \u56f3\u306e\u3088\u3046\u306b\u4e2d\u592e\u4ed8\u8fd1\u3067\u306f\u6b21\u6570\u304c\u4e0a\u304c\u308b\u3068\u3088\u3044\u8fd1\u4f3c\u3092\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u306e\u3067, \u3053\u306e\u9818\u57df\u3060\u3051\u3092\u4f7f\u3046\u3068\u3044\u3046\u624b\u306f\u3042\u308b\u304b\u3082\u3057\u308c\u306a\u3044.<\/p>\n
\u3053\u306e\u554f\u984c\u306f\u6a19\u672c\u70b9\u3092\u7b49\u9593\u9694\u3067\u306f\u306a\u304f\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u591a\u9805\u5f0f\u306e\u30bc\u30ed\u70b9\u306b\u3068\u308b\u3068\u89e3\u6c7a\u3059\u308b\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u3044\u308b. \u300c\u76f4\u4ea4\u591a\u9805\u5f0f\u88dc\u9593\u300d\u306e\u6570\u5024\u5b9f\u9a13 (4) \u3092\u53c2\u7167\u305b\u3088.<\/p>\n
\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593<\/h3>\n
\u591a\u9805\u5f0f\u88dc\u9593\u3092\u884c\u3046\u306b\u306f, \u524d\u9805\u306e\u3088\u3046\u306b\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u3066\u591a\u9805\u5f0f\u306e\u4fc2\u6570\u3092\u76f4\u63a5\u6c42\u3081\u308b\u306e\u304c\u76f4\u89b3\u7684\u306a\u65b9\u6cd5\u3067\u306f\u3042\u308b\u304c, \u5b9f\u52d9\u7684\u306b\u306f\u65b9\u7a0b\u5f0f\u306e\u6761\u4ef6\u6570\u304c\u5927\u304d\u304f\u306a\u308a\u3084\u3059\u3044\u306a\u3069\u306e\u7406\u7531\u306b\u3088\u308a, \u7b49\u4fa1\u306a\u591a\u9805\u5f0f\u3067\u3042\u308b\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593\u516c\u5f0f\u304c\u7528\u3044\u3089\u308c\u308b.<\/p>\n
\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593\u516c\u5f0f\u306f\u6b21\u5f0f\u3067\u8868\u3055\u308c\u308b.<\/p>\n
  \r\n  f(x) = \u03a3 Lk<\/sub>(x) f(xk<\/sub>)  (k = 0 \uff5e n)\r\n\r\n  \u305f\u3060\u3057\r\n    Lk<\/sub>(x) = \u03a0(x - xi<\/sub>)\/(xk<\/sub> - xi<\/sub>)  (i = 0 \uff5e k - 1, k + 1 \uff5e n)\r\n\r\n<\/pre>\n
 
\nLk<\/sub>(xi<\/sub>) \u306f i = k \u306e\u3068\u304d 1, i ≠ k \u306e\u3068\u304d 0 \u3067\u3042\u308b. \u3057\u305f\u304c\u3063\u3066, \u5404\u6a19\u672c\u70b9\u306b\u304a\u3044\u3066\u4e0e\u3048\u3089\u308c\u305f\u30c7\u30fc\u30bf\u306b\u4e00\u81f4\u3059\u308b. \u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593\u516c\u5f0f\u306f\u6a19\u672c\u70b9\u306e\u4e26\u3093\u3067\u3044\u308b\u9806\u5e8f\u306b\u95a2\u4fc2\u306a\u304f\u6210\u308a\u7acb\u3064. \u307e\u305f, \u6a19\u672c\u70b9\u306f\u7b49\u9593\u9694\u3067\u306a\u304f\u3066\u3082\u3088\u3044.<\/p>\n
\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593\u516c\u5f0f\u306f n \u6b21\u591a\u9805\u5f0f\u3067\u3042\u308a, \u30d0\u30e9\u30d0\u30e9\u306b\u3057\u3066\u6574\u7406\u3059\u308b\u3068\u305d\u306e\u4fc2\u6570\u306f\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u3066\u6c42\u3081\u305f\u591a\u9805\u5f0f\u306e\u4fc2\u6570\u3068\u4e00\u81f4\u3059\u308b\u306f\u305a\u3067\u3042\u308b. \u3057\u304b\u3057, \u88dc\u9593\u306b\u304a\u3044\u3066\u306f\u95a2\u6570\u5024\u304c\u6c42\u307e\u308c\u3070\u3088\u304f\u3066\u591a\u9805\u5f0f\u306e\u4fc2\u6570\u306f\u8a08\u7b97\u306b\u76f4\u63a5\u306f\u5fc5\u8981\u306a\u3044\u306e\u3067, \u3053\u306e\u5f62\u306e\u307e\u307e\u8a08\u7b97\u306b\u4f7f\u308f\u308c\u308b.<\/p>\n
\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593\u516c\u5f0f\u306e\u8a08\u7b97\u306f\u6b21\u306e\u3088\u3046\u306b\u3057\u3066\u884c\u3046\u3068\u3088\u3044.<\/p>\n
\u307e\u305a, \u4e0e\u3048\u3089\u308c\u305f\u30c7\u30fc\u30bf\u306b\u3064\u3044\u3066<\/p>\n
  \r\n  wk<\/sub> = f(xk<\/sub>)\/(\u03a0(xk<\/sub> - xi<\/sub>) (i = 0 \uff5e k - 1, k + 1 \uff5e n))\r\n\r\n<\/pre>\n
 
\n\u3092 k = 0 \uff5e n \u306b\u3064\u3044\u3066\u8a08\u7b97\u3057\u3066\u304a\u304f.<\/p>\n
\u6b21\u306b, \u6c42\u3081\u305f\u3044\u70b9 x \u305d\u308c\u305e\u308c\u306b\u3064\u3044\u3066\u6b21\u306e\u3088\u3046\u306b\u3057\u3066\u88dc\u9593\u5024\u3092\u8a08\u7b97\u3059\u308b.<\/p>\n
  \r\n  w(x) = \u03a0(x - xk<\/sub>)  (k = 0 \uff5e n)\r\n  pn<\/sub>(x) = w(x)\u03a3wk<\/sub>\/(x - xk<\/sub>) (k = 0 \uff5e n)\r\n\r\n<\/pre>\n
 
\n\u305f\u3060\u3057, x = xk<\/sub> (k = 0, … \u307e\u305f\u306f n) \u3067\u3042\u308c\u3070\u8a08\u7b97\u305b\u305a\u306b pn<\/sub>(x) = f(xk<\/sub>) \u3068\u3059\u308c\u3070\u3088\u3044.<\/p>\n
\u4e0a\u306e\u6570\u5024\u5b9f\u9a13 (1), (2) \u306b\u3064\u3044\u3066\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593\u516c\u5f0f\u306b\u3088\u308a\u8a08\u7b97\u3059\u308b\u3068\u591a\u9805\u5f0f\u88dc\u9593\u306e\u3068\u304d\u3068\u540c\u3058\u7d50\u679c\u304c\u5f97\u3089\u308c\u308b.<\/p>\n
\u5dee\u5206\u5546<\/h3>\n
x =  x0<\/sub>, x1<\/sub> \u306b\u5bfe\u3059\u308b\u5dee\u5206\u5546\u3092\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3059\u308b.<\/p>\n
  \r\n  f[x0<\/sub>, x1<\/sub>] = (f(x1<\/sub>) - f(x0<\/sub>))\/(x1<\/sub> - x0<\/sub>)\r\n\r\n<\/pre>\n
 
\n\u3053\u308c\u306f, x0<\/sub> \u3068 x1<\/sub> \u304c\u8fd1\u3051\u308c\u3070\u5fae\u5206 f'(x0<\/sub>) \u3092\u8868\u3059. \u3042\u308b\u3044\u306f, \u3053\u308c\u306f\u533a\u9593 [x0<\/sub>, x1<\/sub>] \u306b\u304a\u3051\u308b\u5fae\u5206\u5024\u306e\u5e73\u5747\u5024\u3068\u307f\u306a\u3059\u3053\u3068\u304c\u3067\u304d\u308b.<\/p>\n
\u540c\u69d8\u306b, x =  x0<\/sub>, x1<\/sub>, x2<\/sub> \u306b\u5bfe\u3059\u308b 2 \u968e\u306e\u5dee\u5206\u5546\u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3067\u304d\u308b.<\/p>\n
  \r\n  f[x0<\/sub>, x1<\/sub>, x2<\/sub>] = (f[x1<\/sub>, x2<\/sub>] - f[x0<\/sub>, x1<\/sub>])\/(x2<\/sub> - x0<\/sub>)\r\n\r\n<\/pre>\n
 
\n\u3059\u306a\u308f\u3061, 2 \u968e\u306e2\u968e\u306e\u5dee\u5206\u5546\u306f 1 \u968e\u306e\u5dee\u5206\u5546\u306e\u5dee\u5206\u5546\u3067\u3042\u308b.<\/p>\n
\u4fbf\u5b9c\u4e0a f[xi<\/sub>] = f(xi<\/sub>) \u3068\u8868\u3059\u3068, \u9ad8\u968e\u306e\u5dee\u5206\u5546\u307e\u3067\u542b\u3081\u305f\u4e00\u822c\u5f62\u306f n + 1 \u500b\u306e\u6a19\u672c\u70b9 x0<\/sub>, x1<\/sub>, …, xn<\/sub> \u306b\u3064\u3044\u3066\u6b21\u306e\u3088\u3046\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u308b.<\/p>\n
  \r\n  f[xi<\/sub>, ..., xi+k<\/sub>] = (f[xi+1<\/sub>, ..., xi+k<\/sub>] - f[xi<\/sub>, ..., xi+k-1<\/sub>])\/(xi+k<\/sub> - xi<\/sub>) (k = 1 \uff5e n, i = 0 \uff5e n - k)\r\n\r\n<\/pre>\n
 
\n\u3053\u3053\u3067, \u95a2\u6570 f(x) \u3092\u5dee\u5206\u5546\u3092\u7528\u3044\u3066\u8868\u3059\u3053\u3068\u3092\u8003\u3048\u308b.<\/p>\n
x, x0<\/sub> \u306b\u5bfe\u3059\u308b 1 \u968e\u306e\u5dee\u5206\u5546<\/p>\n
  \r\n  f[x, x0<\/sub>] = (f(x0<\/sub>) - f(x)\/(x0<\/sub> - x)\r\n\r\n<\/pre>\n
 
\n\u3092\u5909\u5f62\u3059\u308b\u3068\u6b21\u306e\u3088\u3046\u306b\u306a\u308b.<\/p>\n
  \r\n  f(x) = f(x0<\/sub>) + (x - x0<\/sub>)f[x, x0<\/sub>]\r\n\r\n<\/pre>\n
 
\n\u3055\u3089\u306b, x, x0<\/sub>, x1<\/sub> \u306b\u5bfe\u3059\u308b 2 \u968e\u306e\u5dee\u5206\u5546<\/p>\n
  \r\n  f[x, x0<\/sub>, x1<\/sub>] = (f[x0<\/sub>, x1<\/sub>] - f[x, x0<\/sub>])\/(x1<\/sub> - x)\r\n\r\n<\/pre>\n
 
\n\u3092 f[x, x0<\/sub>] \u306b\u3064\u3044\u3066\u89e3\u304d, \u4ee3\u5165\u3059\u308b\u3068\u6b21\u306e\u3088\u3046\u306b\u306a\u308b.<\/p>\n
  \r\n  f(x) = f(x0<\/sub>) + (x - x0<\/sub>)f[x0<\/sub>, x1<\/sub>] + (x - x0<\/sub>)(x - x1<\/sub>)*f[x, x0<\/sub>, x1<\/sub>]\r\n\r\n<\/pre>\n
 
\n\u540c\u69d8\u306e\u4ee3\u5165\u3092\u7e70\u308a\u8fd4\u3059\u3068, n + 1 \u500b\u306e\u6a19\u672c\u70b9 x0<\/sub>, x1<\/sub>, …, xn<\/sub> \u306b\u3064\u3044\u3066\u6b21\u5f0f\u304c\u5f97\u3089\u308c\u308b.<\/p>\n
  \r\n  f(x) = f(x0<\/sub>) + (x - x0<\/sub>)f[x0<\/sub>, x1<\/sub>] + (x - x0<\/sub>)(x - x1<\/sub>)*f[x0<\/sub>, x1<\/sub>, x2<\/sub>]\r\n       + ...\r\n       + (x - x0<\/sub>)(x - x1<\/sub>)...(x - xn-1<\/sub>)*f[x0<\/sub>, x1<\/sub>, ..., xn\/sub>]\r\n       + (x - x0<\/sub>)(x - x1<\/sub>)...(x - xn-1<\/sub>)(x - xn<\/sub>)*f[x, x0<\/sub>, x1<\/sub>, ..., xn<\/sub>]\r\n\r\n<\/pre>\n
 
\n\u3053\u3053\u3067, \u6700\u5f8c\u306e\u9805\u306f f[x, x0<\/sub>, x1<\/sub>, …, xn<\/sub>] \u306b\u5909\u6570 x \u3092\u542b\u3080\u305f\u3081\u901a\u5e38\u306f\u8a08\u7b97\u3059\u308b\u3053\u3068\u306f\u96e3\u3057\u3044.<\/p>\n
\u30cb\u30e5\u30fc\u30c8\u30f3\u88dc\u9593\u516c\u5f0f<\/h3>\n
\u95a2\u6570 f(x) \u3092\u5dee\u5206\u5546\u3092\u7528\u3044\u3066\u8868\u3057\u305f\u4e0a\u5f0f\u306b\u304a\u3044\u3066\u6700\u5f8c\u306e\u9805\u3092 0 \u3068\u304a\u3044\u305f\u6b21\u5f0f\u3092\u30cb\u30e5\u30fc\u30c8\u30f3\u88dc\u9593\u516c\u5f0f\u3068\u3044\u3046.<\/p>\n
  \r\n  f(x) = f[x0<\/sub>] + (x - x0<\/sub>)f[x0<\/sub>, x1<\/sub>] + (x - x0<\/sub>)(x - x1<\/sub>)*f[x0<\/sub>, x1<\/sub>, x2<\/sub>]\r\n       + ...\r\n       + (x - x0<\/sub>)(x - x1<\/sub>)...(x - xn-1<\/sub>)*f[x0<\/sub>, x1<\/sub>, ..., xn<\/sub>]\r\n\r\n<\/pre>\n
 
\n\u3053\u306e\u5f0f\u306f f(x) \u306e\u8fd1\u4f3c\u5f0f\u306b\u306a\u3063\u3066\u304a\u308a, 0 \u3068\u304a\u3044\u305f\u6700\u5f8c\u306e\u9805\u306f\u5270\u4f59\u9805\u3068\u547c\u3070\u308c\u8fd1\u4f3c\u8aa4\u5dee\u3092\u8868\u3059.<\/p>\n
\u30cb\u30e5\u30fc\u30c8\u30f3\u88dc\u9593\u516c\u5f0f\u306f, \u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593\u516c\u5f0f\u3092 1, (x – x0<\/sub>), (x – x0<\/sub>)(x – x1<\/sub>), \u30fb\u30fb\u30fb \u306b\u3064\u3044\u3066\u5c55\u958b\u3057\u305f\u5f0f\u306b\u76f8\u5f53\u3059\u308b. \u3059\u3067\u306b\u6c42\u3081\u305f\u88dc\u9593\u5f0f\u306b\u65b0\u305f\u306b\u6a19\u672c\u70b9\u3092\u8ffd\u52a0\u3059\u308b\u3068\u304d, \u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593\u516c\u5f0f\u3067\u306f\u5168\u90e8\u8a08\u7b97\u3057\u76f4\u3059\u5fc5\u8981\u304c\u3042\u308b\u304c, \u30cb\u30e5\u30fc\u30c8\u30f3\u88dc\u9593\u516c\u5f0f\u3067\u306f\u65b0\u305f\u306a\u9805\u3092\u8ffd\u52a0\u3059\u308b\u3060\u3051\u3067\u3088\u3044.<\/p>\n
\u30cb\u30e5\u30fc\u30c8\u30f3\u88dc\u9593\u516c\u5f0f\u306e\u8a08\u7b97\u306f\u6b21\u306e\u3088\u3046\u306b\u3057\u3066\u884c\u3046\u3068\u3088\u3044.<\/p>\n
\u307e\u305a, \u4e0e\u3048\u3089\u308c\u305f\u30c7\u30fc\u30bf\u306b\u3064\u3044\u3066\u5dee\u5206\u5546\u3092\u4e0b\u56f3\u306e\u3088\u3046\u306b\u5de6\u304b\u3089\u53f3\u306e\u9806\u306b\u8a08\u7b97\u3057\u3066\u304a\u304f. \u5b9f\u969b\u306b\u88dc\u9593\u5024\u306e\u8a08\u7b97\u306b\u5fc5\u8981\u306a\u306e\u306f\u5bfe\u89d2\u90e8\u5206\u3060\u3051\u3067\u3042\u308b\u304c, \u6a19\u672c\u70b9\u3092\u8ffd\u52a0\u3059\u308b\u3068\u304d\u306b\u4e00\u756a\u4e0b\u306e\u884c\u304c\u5fc5\u8981\u306b\u306a\u308b.<\/p>\n
  \r\n  f[x0<\/sub>]\r\n        \uff3c\r\n  f[x1<\/sub>] \u2500 f[x0<\/sub>, x1<\/sub>]\r\n        \uff3c             \uff3c\r\n  f[x2<\/sub>] \u2500 f[x1<\/sub>, x2<\/sub>]   \u2500 f[x0<\/sub>, x1<\/sub>, x2<\/sub>]\r\n        \uff3c             \uff3c                   \uff3c\r\n    \u30fb\u30fb\u30fb\r\n        \uff3c             \uff3c                   \uff3c   \u30fb\u30fb\u30fb   \uff3c\r\n  f[xn<\/sub>] \u2500 f[xn-1<\/sub>, xn<\/sub>] \u2500 f[xn-2<\/sub>, xn-1<\/sub>, xn<\/sub>] \u2500   \u30fb\u30fb\u30fb   \u2500 f[x0<\/sub>, \u30fb\u30fb\u30fb, xn<\/sub>]\r\n\r\n<\/pre>\n
 
\n\u6b21\u306b, \u6c42\u3081\u305f\u3044\u70b9 x \u305d\u308c\u305e\u308c\u306b\u3064\u3044\u3066, \u591a\u9805\u5f0f\u3092\u8a08\u7b97\u3059\u308b\u8981\u9818\u3067\u30cb\u30e5\u30fc\u30c8\u30f3\u88dc\u9593\u516c\u5f0f\u306b\u3088\u308a\u88dc\u9593\u5024\u3092\u8a08\u7b97\u3059\u308b.<\/p>\n
\u6a19\u672c\u70b9\u3092\u8ffd\u52a0\u3059\u308b\u3068\u304d\u306f\u5dee\u5206\u5546\u306e\u4e00\u756a\u4e0b\u306e\u884c\u3092\u8ffd\u52a0\u8a08\u7b97\u3057, \u30cb\u30e5\u30fc\u30c8\u30f3\u88dc\u9593\u516c\u5f0f\u306e\u6700\u5f8c\u306e\u9805\u3092\u88dc\u9593\u5024\u306b\u52a0\u3048\u308b.<\/p>\n
\u4e0a\u306e\u6570\u5024\u5b9f\u9a13 (1), (2) \u306b\u3064\u3044\u3066\u30cb\u30e5\u30fc\u30c8\u30f3\u88dc\u9593\u516c\u5f0f\u306b\u3088\u308a\u8a08\u7b97\u3059\u308b\u3068\u591a\u9805\u5f0f\u88dc\u9593\u304a\u3088\u3073\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593\u516c\u5f0f\u3068\u540c\u3058\u7d50\u679c\u304c\u5f97\u3089\u308c\u308b.<\/p>\n
\u53cd\u5fa9\u88dc\u9593\u6cd5<\/h3>\n
\u88dc\u9593\u306b\u3088\u308a x \u306b\u304a\u3051\u308b\u95a2\u6570\u5024\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u306b, \u306f\u3058\u3081\u306f\u5c11\u306a\u3044\u6a19\u672c\u70b9\u3092\u4f7f\u3063\u3066\u8a08\u7b97\u3057, \u6b21\u7b2c\u306b\u6a19\u672c\u70b9\u306e\u6570\u3092\u5897\u3084\u3057\u3066\u8a08\u7b97\u3092\u7e70\u308a\u8fd4\u3057\u76ee\u6a19\u7cbe\u5ea6\u306b\u9054\u3057\u305f\u3089(\u6a19\u672c\u70b9\u3092\u5897\u3084\u3059\u524d\u5f8c\u306e\u5dee\u304c\u8a31\u5bb9\u7bc4\u56f2\u306b\u5165\u3063\u305f\u3089)\u53ce\u675f\u3068\u307f\u306a\u3057\u3066\u7d42\u4e86\u3059\u308b\u65b9\u6cd5\u3092\u53cd\u5fa9\u88dc\u9593\u6cd5\u3068\u3044\u3046. \u30cb\u30e5\u30fc\u30c8\u30f3\u88dc\u9593\u516c\u5f0f\u306f\u6a19\u672c\u70b9\u306e\u4e26\u3073\u9806\u306b\u95a2\u4fc2\u306a\u304f\u9069\u7528\u3067\u304d\u308b\u304c, \u3053\u306e\u5834\u5408\u306f\u6a19\u672c\u70b9\u3092\u30bd\u30fc\u30c8\u3057\u3066\u304a\u304d x \u306b\u8fd1\u3044\u9806\u306b\u8ffd\u52a0\u3057\u3066\u3044\u304f\u306e\u304c\u53ce\u675f\u306e\u901f\u3055\u306e\u70b9\u3067\u6709\u5229\u3067\u3042\u308b.<\/p>\n
\u5fdc\u7528\u4f8b\u3068\u3057\u3066\u306f, \u4e0e\u3048\u3089\u308c\u305f\u6570\u8868\u3092\u4f7f\u3063\u3066\u95a2\u6570\u5024\u3092\u8a08\u7b97\u3059\u308b\u5834\u5408\u304c\u8003\u3048\u3089\u308c\u308b. XLPack \u306e Fitlag \u3092\u53c2\u7167\u305b\u3088.
\n<\/div>\n
\n
\u30a8\u30eb\u30df\u30fc\u30c8\u88dc\u9593<\/h2>\n
\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593\u306f\u6a19\u672c\u70b9\u306b\u304a\u3044\u3066\u95a2\u6570\u5024\u304c\u4e00\u81f4\u3059\u308b\u8fd1\u4f3c\u5f0f\u3092\u4e0e\u3048\u305f. \u30a8\u30eb\u30df\u30fc\u30c8\u88dc\u9593\u3067\u306f, \u6a19\u672c\u70b9\u306b\u304a\u3044\u3066\u95a2\u6570\u5024\u306e\u4ed6\u306b\u5fae\u5206\u5024\u3082\u4e00\u81f4\u3059\u308b\u8fd1\u4f3c\u5f0f\u3092\u4e0e\u3048\u308b.<\/p>\n
\u533a\u9593 [a, b] \u5185\u306e n + 1 \u500b\u306e\u76f8\u7570\u306a\u308b\u70b9 x0<\/sub>, x1<\/sub>, …, xn<\/sub> \u306b\u304a\u3051\u308b\u95a2\u6570 f(x) \u306e\u5024 f(x0<\/sub>), f(x1<\/sub>), …, f(xn<\/sub>) \u304a\u3088\u3073\u5fae\u5206\u5024 f'(x) \u306e\u5024 f'(x0<\/sub>), f'(x1<\/sub>), …, f'(xn<\/sub>)  \u304c\u30c7\u30fc\u30bf\u3068\u3057\u3066\u4e0e\u3048\u3089\u308c\u3066\u3044\u308b\u3068\u304d, \u3053\u308c\u3089\u306e\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u5024\u304a\u3088\u3073\u5fae\u5206\u5024\u304c\u30c7\u30fc\u30bf\u306b\u4e00\u81f4\u3059\u308b\u3088\u3046\u306a\u8fd1\u4f3c\u5f0f\u3092\u8003\u3048\u308b.<\/p>\n
\u6761\u4ef6\u304c 2n + 2 \u500b\u3042\u308b\u306e\u3067, \u3053\u308c\u3092\u6e80\u8db3\u3059\u308b\u305f\u3081\u306b\u306f 2n + 2 \u500b\u306e\u4fc2\u6570\u304c\u3042\u308b 2n + 1 \u6b21\u591a\u9805\u5f0f p2n+1<\/sub>(x) \u304c\u5fc5\u8981\u3067, \u6b21\u5f0f\u3092\u6e80\u305f\u3059.<\/p>\n
  \r\n  p2n+1<\/sub>(xk<\/sub>) = f(xk<\/sub>)  (k = 0 \uff5e n)\r\n  p2n+1<\/sub>'(xk<\/sub>) = f'(xk<\/sub>)  (k = 0 \uff5e n)\r\n\r\n<\/pre>\n
 
\np2n+1<\/sub>(x) \u306e\u4fc2\u6570\u3092 a0<\/sub>, a1<\/sub>, …, a2n+1<\/sub> \u3068\u3059\u308b\u3068<\/p>\n
  \r\n  p2n+1<\/sub>(x) = \u03a3ai<\/sub>x2n+1-i<\/sup> (i = 0 \uff5e 2n + 1)\r\n  p2n+1<\/sub>'(x) = \u03a3(2n+1-i)ai<\/sub>x2n-i<\/sup> (i = 0 \uff5e 2n + 1)\r\n\r\n<\/pre>\n
 
\n\u3067\u3042\u308b\u304b\u3089, \u6b21\u306e\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3053\u3068\u306b\u3088\u308a\u8fd1\u4f3c\u591a\u9805\u5f0f\u306e\u4fc2\u6570\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b.<\/p>\n
  \r\n  Va = f\r\n\r\n<\/pre>\n
 
\n\u305f\u3060\u3057,<\/p>\n
  \r\n      ( x0<\/sub>2n+1<\/sup>      x0<\/sub>2n<\/sup>        ...  1 )       ( a0<\/sub>    )       ( f0<\/sub>  )\r\n      ( (2n+1)x0<\/sub>2n<\/sup>  (2n)x0<\/sub>2n-1<\/sup>  ...  0 )       ( a1<\/sub>    )       ( f'0<\/sub> )\r\n      ( x1<\/sub>2n+1<\/sup>      x1<\/sub>2n<\/sup>        ...  1 )       ( a2<\/sub>    )       ( f1<\/sub>  )\r\n  V = ( (2n+1)x1<\/sub>2n<\/sup>  (2n)x1<\/sub>2n-1<\/sup>  ...  0 ),  a = ( a3<\/sub>    ),  f = ( f'1<\/sub> )\r\n      (              ...               )       (  ...  )       ( ... )\r\n      ( xn<\/sub>2n+1<\/sup>      xn<\/sub>2n<\/sup>        ...  1 )       ( a2n<\/sub>   )       ( fn<\/sub>  )\r\n      ( (2n+1)xn<\/sub>2n<\/sup>  (2n)xn<\/sub>2n-1<\/sup>  ...  0 )       ( a2n+1<\/sub> )       ( f'n<\/sub> )\r\n\r\n<\/pre>\n
 
\n\u3053\u3053\u3067, V \u306f\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306e\u4fc2\u6570\u884c\u5217, f \u306f\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306e\u53f3\u8fba\u30d9\u30af\u30c8\u30eb(\u5404\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u5024 fi<\/sub> = f(xi<\/sub>) \u304a\u3088\u3073\u5fae\u5206\u5024 f’i<\/sub> = f'(xi<\/sub>) \u3092\u8868\u3059), a \u306f\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306e\u89e3\u30d9\u30af\u30c8\u30eb(\u591a\u9805\u5f0f\u306e\u4fc2\u6570)\u3068\u306a\u308b.<\/p>\n
\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593\u306e\u3068\u304d\u3068\u540c\u3058\u3088\u3046\u306b x0<\/sub>, x1<\/sub>, …, xn<\/sub> \u304c\u76f8\u7570\u306a\u308b\u70b9\u3067\u3042\u308c\u3070\u3053\u306e\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306f\u89e3\u3092\u6301\u3064.<\/p>\n
\u591a\u9805\u5f0f\u88dc\u9593\u306e\u3068\u304d\u3068\u540c\u69d8\u306b\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u8a08\u7b97\u6cd5\u306f\u65b9\u7a0b\u5f0f\u306e\u6761\u4ef6\u6570\u306a\u3069\u306e\u70b9\u304b\u3089\u597d\u307e\u3057\u304f\u306a\u304f, \u30cb\u30e5\u30fc\u30c8\u30f3\u88dc\u9593\u306b\u4f3c\u305f\u4ee5\u4e0b\u306e\u8a08\u7b97\u6cd5\u304c\u7528\u3044\u3089\u308c\u308b.<\/p>\n
n + 1 \u500b\u306e\u6a19\u672c\u70b9 x0<\/sub>, x1<\/sub>, …, xn<\/sub> \u304c\u3042\u308b\u3068\u304d\u306b, j = 0 \uff5e n \u306b\u3064\u3044\u3066<\/p>\n
  \r\n  u2j<\/sub> = xj<\/sub>\r\n  u2j+1<\/sub> = xj<\/sub>\r\n\r\n<\/pre>\n
 
\n\u3068\u3059\u308b.<\/p>\n
\u5dee\u5206\u5546\u306e\u8a08\u7b97\u3092\u6b21\u306e\u3088\u3046\u306b\u5909\u5f62\u3059\u308b.<\/p>\n
  \r\n  f[ui<\/sub>] = f(ui<\/sub>) (i = 0 \uff5e 2n+1)\r\n  f[ui<\/sub>, ui+1<\/sub>] = f'(ui<\/sub>) (i = 0, 2, ..., 2n)\r\n  f[ui<\/sub>, ui+1<\/sub>] = (f[ui+1<\/sub>] - f[ui<\/sub>])\/(ui+1<\/sub> - ui<\/sub>) (i = 1, 3, ..., 2n-1)\r\n  f[ui<\/sub>, ..., ui+k<\/sub>] = (f[ui+1<\/sub>, ..., ui+k<\/sub>] - f[ui<\/sub>, ..., ui+k-1<\/sub>])\/(ui+k<\/sub> - ui<\/sub>) (k = 2 \uff5e 2n + 1, i = 0 \uff5e 2n + 1 - k)\r\n\r\n<\/pre>\n
 
\n\u95a2\u6570 f(x) \u306e\u88dc\u9593\u5024\u306f\u6b21\u5f0f\u3067\u6c42\u3081\u3089\u308c\u308b.<\/p>\n
  \r\n  f(x) = f[u0<\/sub>] + (x - u0<\/sub>)f[u0<\/sub>, u1<\/sub>] + (x - u0<\/sub>)(x - u1<\/sub>)*f[u0<\/sub>, u1<\/sub>, u2<\/sub>]\r\n       + ...\r\n       + (x - u0<\/sub>)(x - u1<\/sub>)...(x - u2n+1<\/sub>)*f[u0<\/sub>, u1<\/sub>, ..., u2n+1<\/sub>]\r\n\r\n<\/pre>\n
 <\/p>\n
\u6570\u5024\u5b9f\u9a13 (3)<\/h3>\n
\u533a\u9593 [-1, 1] \u306b\u304a\u3044\u3066\u30eb\u30f3\u30b2\u306e\u95a2\u6570\u3092\u30a8\u30eb\u30df\u30fc\u30c8\u88dc\u9593\u3059\u308b.<\/p>\n
  \r\n  f(x) = 1\/(1 + 25x2<\/sup>)\r\n\r\n<\/pre>\n
 
\nn = 4, 8, 12, 20 \u3068\u3057\u3066 n + 1 \u6a19\u672c\u70b9\u3092\u7528\u3044\u3066\u88dc\u9593\u3092\u884c\u3046(\u591a\u9805\u5f0f\u306e\u6b21\u6570\u306f\u305d\u308c\u305e\u308c 9, 17, 25, 41 \u6b21\u3067\u3042\u308b). \u533a\u9593 [-1, 1] \u3092 n \u7b49\u5206\u3057\u3066, \u4e21\u7aef\u3092\u542b\u3081\u7b49\u9593\u9694\u306b\u4e26\u3093\u3060 n + 1 \u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u5024\u304a\u3088\u3073\u5fae\u5206\u5024\u3092\u30c7\u30fc\u30bf\u3068\u3057\u3066\u4f7f\u7528\u3059\u308b.<\/p>\n
\"\"<\/p>\n
\u540c\u3058\u6a19\u672c\u70b9\u6570\u306e\u3068\u304d\u306b\u30a8\u30eb\u30df\u30fc\u30c8\u88dc\u9593\u591a\u9805\u5f0f\u306e\u6b21\u6570\u306f\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593\u306e\u3068\u304d\u306e\u500d\u306b\u306a\u308b\u305f\u3081\u7cbe\u5ea6\u306f\u3088\u3044.<\/p>\n
\u3053\u306e\u6642\u306e\u5fae\u5206\u5024\u306e\u88dc\u9593\u306e\u72b6\u6cc1\u3092\u30d7\u30ed\u30c3\u30c8\u3057\u3066\u307f\u308b\u3068\u6b21\u306e\u3088\u3046\u306b\u306a\u3063\u305f.<\/p>\n
\"\"<\/p>\n
\u6bd4\u8f03\u306e\u305f\u3081\u306b\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593\u306e\u5834\u5408\u306e\u5fae\u5206\u5024\u3092\u30d7\u30ed\u30c3\u30c8\u3057\u3066\u307f\u308b\u3068\u6b21\u306e\u3088\u3046\u306b\u306a\u3063\u305f.<\/p>\n
\"\"<\/p>\n<\/div>\n
\n
\u76f4\u4ea4\u591a\u9805\u5f0f\u88dc\u9593<\/h2>\n
\u76f4\u4ea4\u591a\u9805\u5f0f\u7cfb<\/h3>\n
\u533a\u9593 [a, b] \u304a\u3088\u3073\u5bc6\u5ea6(\u91cd\u307f)\u95a2\u6570 w(x) \u304c\u4e0e\u3048\u3089\u308c\u3066\u3044\u308b\u3068\u304d, \u6b21\u5f0f\u3092\u6e80\u305f\u3059\u591a\u9805\u5f0f\u7cfb { pn<\/sub>(x) } \u3092\u76f4\u4ea4\u591a\u9805\u5f0f\u7cfb\u3068\u3044\u3046.<\/p>\n
  \r\n  (pj<\/sub>, pk<\/sub>)w<\/sub> = \u222b pj<\/sub>(x)pk<\/sub>(x)w(x)dx [a, b] = 0 (j ≠ k)\r\n\r\n<\/pre>\n
 
\n(pj<\/sub>, pk<\/sub>)w<\/sub> \u306f pj<\/sub> \u3068 pk<\/sub> \u306e\u91cd\u307f\u4ed8\u304d\u5185\u7a4d\u3067\u3042\u308b.<\/p>\n
w(x) \u306f [a, b] \u3067\u9023\u7d9a\u3067\u6709\u9650\u500b\u306e\u70b9\u3067 0 \u306b\u306a\u308b\u3053\u3068\u3092\u9664\u3044\u3066 w(x) > 0 \u3068\u3059\u308b. \u307e\u305f, \u222b xk<\/sup>w(x) dx [a, b] \u304c k = 0, 1, 2, … \u306b\u3064\u3044\u3066\u6709\u754c\u3068\u3059\u308b.<\/p>\n
j = k \u306e\u3068\u304d\u5185\u7a4d\u306f\u6b63\u306e\u5024\u3092\u3068\u308a, \u3053\u308c\u3092 \u03bbk<\/sub> \u3067\u8868\u3059\u3053\u3068\u306b\u3059\u308b.<\/p>\n
\u5c55\u958b\u5f62\u306e xk<\/sup> \u306e\u4fc2\u6570\u3092 \u03bck<\/sub> \u3067\u8868\u3059\u3053\u3068\u306b\u3059\u308b. \u305f\u3060\u3057, \u03bc0<\/sub> \u306f\u6b63\u306e\u5b9a\u6570\u3068\u3059\u308b.<\/p>\n
  \r\n  pn<\/sub>(x) = \u03bc0<\/sub> + \u03bc1<\/sub>x + \u03bc2<\/sub>x2<\/sup> + \u30fb\u30fb\u30fb + \u03bcn<\/sub>xn<\/sup>\r\n\r\n<\/pre>\n
 <\/p>\n
\u76f4\u4ea4\u591a\u9805\u5f0f\u306e\u6027\u8cea<\/h3>\n
n \u6b21\u76f4\u4ea4\u591a\u9805\u5f0f\u306b\u306f\u6b21\u306e\u3088\u3046\u306a\u6027\u8cea\u304c\u3042\u308b.<\/p>\n
    \n
  • \u533a\u9593 [a, b] \u5185\u306b n \u500b\u306e\u76f8\u7570\u306a\u308b\u30bc\u30ed\u70b9\u3092\u6301\u3061, \u3059\u3079\u3066\u5358\u6839\u3067\u3042\u308b.<\/li>\n
  • \u6b21\u306e\u3088\u3046\u306a\uff13\u9805\u6f38\u5316\u5f0f\u304c\u5b58\u5728\u3059\u308b (p-1<\/sub>(x) = 0 \u3068\u3059\u308b).\n
      \r\n  pk<\/sub>(x) = (\u03b1k<\/sub>x + \u03b2k<\/sub>)pk-1<\/sub>(x) - \u03b3k<\/sub>pk-2<\/sub>(x)  (k = 1, 2, ... )\r\n  \u305f\u3060\u3057\r\n    \u03b1k<\/sub> = \u03bck<\/sub>\/\u03bck-1<\/sub>\r\n    \u03b2k<\/sub> = -\u03b1k<\/sub>(xpk-1<\/sub> . pk-1<\/sub>)\/\u03bbk-1<\/sub>\r\n    \u03b3k<\/sub> = \u03b1k<\/sub>(xpk-1<\/sub> . pk-2<\/sub>)\/\u03bbk-2<\/sub> = \u03bck<\/sub>\u03bck-2<\/sub>\u03bbk-1<\/sub>\/(\u03bck-1<\/sub>2<\/sup>\u03bbk-2<\/sub>)\r\n\r\n<\/pre>\n<\/li>\n
  • \u6b21\u5f0f(\u30af\u30ea\u30b9\u30c8\u30c3\u30d5\u30a7\u30eb\u30fb\u30c0\u30eb\u30d6\u30fc\u306e\u6052\u7b49\u5f0f)\u304c\u6210\u308a\u7acb\u3064.\n
      \r\n  \u03a3 (pk<\/sub>(x)pk<\/sub>(y))\/\u03bbk<\/sub> (k = 0 \uff5e n-1) = \u03bcn-1<\/sub>\/(\u03bcn<\/sub>\u03bbn-1<\/sub>) (pn<\/sub>(x)pn-1<\/sub>(y) - pn-1<\/sub>(x)pn<\/sub>(y))\/(x - y)\r\n\r\n<\/pre>\n
     \n<\/li>\n<\/ul>\n
    \u4ee3\u8868\u7684\u306a\u76f4\u4ea4\u591a\u9805\u5f0f<\/h3>\n
    \u4ee5\u4e0b\u306e\u3088\u3046\u306a\u76f4\u4ea4\u591a\u9805\u5f0f\u304c\u3088\u304f\u77e5\u3089\u308c\u3066\u3044\u308b.
    \n
    \n\n\n\n\n\n\n
    \u76f4\u4ea4\u591a\u9805\u5f0f<\/th>\n\u8a18\u53f7<\/th>\n[a, b]<\/th>\nw(x)<\/th>\n0 \u3067\u306a\u3044\u5185\u7a4d\u306e\u5024 \u03bbn<\/sub><\/th>\n\u591a\u9805\u5f0f\u306e\u6700\u9ad8\u6b21\u306e\u4fc2\u6570 \u03bcn<\/sub><\/th>\n<\/tr>\n
    \u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u591a\u9805\u5f0f<\/td>\nPn<\/sub>(x)<\/td>\n[-1, 1]<\/td>\n1<\/td>\n2\/(2n + 1)<\/td>\n\u03a0(2k \u2013 1)\/k (k = 1\uff5eN)<\/td>\n<\/tr>\n
    \u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u591a\u9805\u5f0f<\/td>\nTn<\/sub>(x)<\/td>\n[-1, 1]<\/td>\n(1 – x2<\/sup>)-1\/2<\/sup><\/td>\n\u03c0\/2 (n > 0), \u03c0 (n = 0))<\/td>\n2n-1<\/sup>(n > 0), 1 (n = 0)<\/td>\n<\/tr>\n
    \u30e9\u30b2\u30fc\u30eb\u591a\u9805\u5f0f<\/td>\nLn<\/sub>(x)<\/td>\n[0, +\u221e]<\/td>\nexp(-x)<\/td>\n1<\/td>\n(-1)n<\/sup>\/n!<\/td>\n<\/tr>\n
    \u30a8\u30eb\u30df\u30fc\u30c8\u591a\u9805\u5f0f<\/td>\nHn<\/sub>(x)<\/td>\n[-\u221e, +\u221e]<\/td>\nexp(-x2<\/sup>)<\/td>\n\u03c01\/2<\/sup>2n<\/sup>n!<\/td>\n2n<\/sup><\/td>\n<\/tr>\n<\/table>\n<\/div>\n
    \u3053\u308c\u3089\u306e\u76f4\u4ea4\u591a\u9805\u5f0f\u306e\u95a2\u6570\u5024\u306f\u6f38\u5316\u5f0f\u3092\u4f7f\u3063\u3066\u6c42\u3081\u308b\u3068\u3088\u3044. \u305d\u308c\u305e\u308c\u306e\u6f38\u5316\u5f0f\u304a\u3088\u3073\u305d\u306e\u5c0e\u95a2\u6570\u306e\u6f38\u5316\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b.
    \n
    \n\n\n\n\n\n\n
    \u76f4\u4ea4\u591a\u9805\u5f0f<\/th>\n\u6f38\u5316\u5f0f<\/th>\n\u5c0e\u95a2\u6570\u306e\u6f38\u5316\u5f0f<\/th>\n<\/tr>\n
    \u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u591a\u9805\u5f0f<\/td>\n(n+1)Pn+1<\/sub>(x) = (2n + 1)xPn<\/sub>(x) – nPn-1<\/sub>(x)
    \nP1<\/sub>(x) = x, P0<\/sub>(x) = 1<\/td>\n    		(x2<\/sup> – 1)P’n<\/sub>(x) = nxPn<\/sub>(x) – nPn-1<\/sub>(x)<\/td>\n<\/tr>\n
    \u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u591a\u9805\u5f0f<\/td>\nTn+1<\/sub>(x) = 2xTn<\/sub>(x) – Tn-1<\/sub>(x)
    \nT1<\/sub>(x) = x, T0<\/sub>(x) = 1<\/td>\n    		T’n<\/sub>(x) = -(n\/(2(1 – x2<\/sup>)))(Tn+1<\/sub>(x) – Tn-1<\/sub>(x))<\/td>\n<\/tr>\n
    \u30e9\u30b2\u30fc\u30eb\u591a\u9805\u5f0f<\/td>\n(n + 1)Ln+1<\/sub>(x) = (2n + 1 – x)Ln<\/sub>(x) – nLn-1<\/sub>(x)
    \nL1<\/sub>(x) = 1 – x, L0<\/sub>(x) = 1<\/td>\n    		xL’n<\/sub>(x) = n(Ln<\/sub>(x) – Ln-1<\/sub>(x))<\/td>\n<\/tr>\n
    \u30a8\u30eb\u30df\u30fc\u30c8\u591a\u9805\u5f0f<\/td>\nHn+1<\/sub>(x) = 2xHn<\/sub>(x) – 2nHn-1<\/sub>(x)
    \nH1<\/sub>(x) = 2x, H0<\/sub>(x) = 1<\/td>\n    		H’n<\/sub>(x) = 2nHn-1<\/sub>(x)<\/td>\n<\/tr>\n<\/table>\n<\/div>\n\u6ce8 – \u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u591a\u9805\u5f0f\u306f Tn<\/sub>(x) = cos(nt) (\u305f\u3060\u3057 x = cos(t)) \u306e\u3088\u3046\u306b\u4e09\u89d2\u95a2\u6570\u3067\u7c21\u5358\u306b\u8868\u3059\u3053\u3068\u3082\u3067\u304d\u308b.<\/p>\n
    \u305d\u308c\u305e\u308c\u306e\u95a2\u6570\u5f62\u3092\u30b0\u30e9\u30d5\u306b\u3059\u308b\u3068\u6b21\u306e\u3088\u3046\u306b\u306a\u308b.<\/p>\n
    \"\"<\/p>\n
    \n\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u591a\u9805\u5f0f Pn<\/sub>(x)<\/strong>\n<\/div>\n\n
    \"\"<\/p>\n
    \n\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u591a\u9805\u5f0f Tn<\/sub>(x)<\/strong>\n<\/div>\n\n
    \"\"<\/p>\n
    \n\u30e9\u30b2\u30fc\u30eb\u591a\u9805\u5f0f Ln<\/sub>(x)<\/strong>\n<\/div>\n\n
    \"\"<\/p>\n
    \n\u30a8\u30eb\u30df\u30fc\u30c8\u591a\u9805\u5f0f Hn<\/sub>(x)<\/strong> (\u03bcn<\/sub> \u3067\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u3057\u305f\u3082\u306e)\n<\/div>\n\n
    \u76f4\u4ea4\u591a\u9805\u5f0f\u88dc\u9593<\/h3>\n
    \u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593\u306b\u304a\u3044\u3066, \u6a19\u672c\u70b9\u3092\u7b49\u9593\u9694\u3067\u306f\u306a\u304f n + 1 \u6b21\u76f4\u4ea4\u591a\u9805\u5f0f pn+1<\/sub>(x) \u306e\u30bc\u30ed\u70b9\u306b\u3068\u308b\u3053\u3068\u3092\u8003\u3048\u308b. \u76f4\u4ea4\u591a\u9805\u5f0f\u306e\u6027\u8cea\u3088\u308a\u305d\u306e\u30bc\u30ed\u70b9\u306f\u3059\u3079\u3066\u5358\u6839\u3067\u3042\u308b\u304b\u3089, \u3053\u306e\u3088\u3046\u306b\u3068\u308b\u3053\u3068\u306f\u53ef\u80fd\u3067\u3042\u308b.<\/p>\n
    x0<\/sub>, x1<\/sub>, …, xn<\/sub> \u304c\u76f4\u4ea4\u591a\u9805\u5f0f pn+1<\/sub>(x) \u306e\u30bc\u30ed\u70b9\u3067\u3042\u308b\u3068\u3059\u308b. \u30af\u30ea\u30b9\u30c8\u30c3\u30d5\u30a7\u30eb\u30fb\u30c0\u30eb\u30d6\u30fc\u306e\u6052\u7b49\u5f0f\u306b\u304a\u3044\u3066 x = xi<\/sub>, y = xj<\/sub> \u3068\u304a\u304f\u3068, i ≠ j \u306e\u3068\u304d\u306f<\/p>\n
      \r\n  \u03a3 (pk<\/sub>(xi<\/sub>)pk<\/sub>(xj<\/sub>))\/\u03bbk<\/sub> (k = 0 \uff5e n) = 0 (i ≠ j)\r\n\r\n<\/pre>\n
     
    \n\u3068\u306a\u308a, i = j \u306e\u3068\u304d\u306e\u5024\u3092 1\/wi<\/sub> \u3068\u304a\u304f\u3068<\/p>\n
      \r\n\r\n  1\/wi<\/sub> = \u03a3 (pk<\/sub>(xi<\/sub>))2<\/sup>\/\u03bbk<\/sub> (k = 0 \uff5e n) > 0\r\n\r\n<\/pre>\n
     
    \n\u3067\u3042\u308b. \u3059\u306a\u308f\u3061, \u6b21\u5f0f\u304c\u6210\u308a\u7acb\u3064.<\/p>\n
      \r\n  wi<\/sub> \u03a3 (pk<\/sub>(xi<\/sub>)pk<\/sub>(xj<\/sub>))\/\u03bbk<\/sub> (k = 0 \uff5e n) = \u03b4ij<\/sub>\r\n\r\n<\/pre>\n
     
    \n\u3053\u308c\u306f pn+1<\/sub>(x) \u306e\u30bc\u30ed\u70b9\u3092\u6a19\u672c\u70b9\u3068\u3059\u308b\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593\u306e\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593\u4fc2\u6570\u3068\u306a\u3063\u3066\u3044\u308b.<\/p>\n
      \r\n  f(x) = \u03a3 (wi<\/sub> \u03a3 pk<\/sub>(xi<\/sub>)pk<\/sub>(x)\/\u03bbk<\/sub> (k = 0 \uff5e n)) f(xi<\/sub>) (i = 0 \uff5e n)\r\n\r\n<\/pre>\n
     
    \n\u3055\u3089\u306b, \u3053\u308c\u306f\u6b21\u306e\u3088\u3046\u306b\u76f4\u4ea4\u591a\u9805\u5f0f\u306b\u3088\u308b\u88dc\u9593\u306b\u306a\u3063\u3066\u3044\u308b.<\/p>\n
      \r\n  f(x) = \u03a3 ck<\/sub>pk<\/sub>(x) (k = 0 \uff5e n)\r\n  \u305f\u3060\u3057\r\n    ck<\/sub> = 1\/\u03bbk<\/sub> \u03a3 wi<\/sub>pk<\/sub>(xi<\/sub>)f(xi<\/sub>) (i = 0 \uff5e n)\r\n\r\n<\/pre>\n
     <\/p>\n
    \u540c\u3058\u6b21\u6570\u306e\u88dc\u9593\u591a\u9805\u5f0f\u306b\u304a\u3044\u3066, \u88dc\u9593\u306e\u8aa4\u5dee\u3092\u3067\u304d\u308b\u3060\u3051\u5c0f\u3055\u304f\u3059\u308b\u305f\u3081\u306e\u6a19\u672c\u70b9\u306e\u3068\u308a\u65b9\u3092\u6c7a\u3081\u308b\u554f\u984c\u3092\u6700\u826f\u8fd1\u4f3c\u554f\u984c\u3068\u547c\u3073, \u3069\u306e\u3088\u3046\u306a\u95a2\u6570\u306b\u3082\u9069\u7528\u3067\u304d\u308b\u516c\u5f0f\u306f\u306a\u304f, \u95a2\u6570\u3054\u3068\u306b\u6c42\u3081\u308b\u5fc5\u8981\u304c\u3042\u308b.<\/p>\n
    \u3057\u304b\u3057, \u6a19\u672c\u70b9\u3092\u76f4\u4ea4\u591a\u9805\u5f0f\u306e\u30bc\u30ed\u70b9\u306b\u3068\u308b(\u76f4\u4ea4\u591a\u9805\u5f0f\u88dc\u9593\u3059\u308b)\u3068\u6700\u826f\u306b\u8fd1\u3044\u7d50\u679c\u304c\u5f97\u3089\u308c\u308b\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u3066, \u6570\u5024\u7a4d\u5206\u306a\u3069\u306b\u5fdc\u7528\u3055\u308c\u3066\u3044\u308b.<\/p>\n
    \u4ee5\u4e0b\u306b\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u88dc\u9593\u306e\u4f8b\u3092\u793a\u3059.<\/p>\n
    \u6570\u5024\u5b9f\u9a13 (4)<\/h3>\n
    \u533a\u9593 [-1, 1] \u306b\u304a\u3044\u3066 n = 4, 8, 12, 20 \u3068\u3057\u3066(\u3059\u306a\u308f\u3061, 4, 8, 12, 20 \u6b21\u591a\u9805\u5f0f\u3092\u7528\u3044\u3066)\u30eb\u30f3\u30b2\u306e\u95a2\u6570\u306e\u88dc\u9593\u3092\u884c\u3046. \u305f\u3060\u3057, n + 1 \u6b21\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u591a\u9805\u5f0f\u306e\u30bc\u30ed\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u5024\u3092\u30c7\u30fc\u30bf\u3068\u3057\u3066\u4f7f\u7528\u3059\u308b. \u3053\u308c\u306f\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u88dc\u9593\u3068\u547c\u3070\u308c\u308b.<\/p>\n
      \r\n  xi<\/sub> = cos(\u03c0(2i + 1)\/2n) (i = 0, 1, ..., n)\r\n\r\n<\/pre>\n
     <\/p>\n
    \"\"<\/p>\n
    \u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u88dc\u9593\u3082\u3042\u3089\u3086\u308b\u95a2\u6570\u306b\u3064\u3044\u3066\u3046\u307e\u304f\u3044\u304f\u308f\u3051\u3067\u306f\u306a\u3044\u304c, \u533a\u9593 [-1, 1] \u3067\u9023\u7d9a\u306a 1 \u968e\u5c0e\u95a2\u6570\u3092\u6301\u3064\u95a2\u6570\u306b\u3064\u3044\u3066 n \u2192 \u221e \u306e\u3068\u304d f(x) \u306b\u53ce\u675f\u3059\u308b\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u308b.<\/p>\n<\/div><\/div><\/div>\n\n
    \u53c2\u8003\u6587\u732e<\/h4>\n[1] \u68ee\u6b63\u6b66\u300c\u6570\u5024\u89e3\u6790 (\u7b2c2\u7248)\u300d(2002) \u5171\u7acb\u51fa\u7248
    \n[2] \u6749\u539f\u6b63\u9855, \u5ba4\u7530\u4e00\u96c4\u300c\u6570\u5024\u8a08\u7b97\u6cd5\u306e\u6570\u7406\u300d(1994) \u5ca9\u6ce2\u66f8\u5e97
    \n[3] \u4e8c\u5bae\u5e02\u4e09, \u4ed6\u300c\u6570\u5024\u8a08\u7b97\u306e\u3064\u307c\u300d(2004) \u5171\u7acb\u51fa\u7248
    \n[4] “NIST Handbook of Mathematical Functions”, May 2010<\/p>\n","protected":false},"excerpt":{"rendered":"
    \u591a\u9805\u5f0f\u306b\u3088\u308b\u88dc\u9593\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059. \u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593, \u30cb\u30e5\u30fc\u30c8\u30f3\u88dc\u9593, \u304a\u3088\u3073, \u30a8\u30eb\u30df\u30fc\u30c8\u88dc\u9593\u306e\u8a08\u7b97\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059. \u307e\u305f, \u6570\u5024\u7a4d\u5206\u306b\u4f7f\u308f\u308c\u308b\u76f4\u4ea4\u591a\u9805\u5f0f\u88dc\u9593\u306b\u3064\u3044\u3066\u3082\u8aac\u660e\u3057\u307e\u3059.<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[13],"tags":[],"class_list":["post-3027","post","type-post","status-publish","format-standard","hentry","category-num"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/posts\/3027","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/comments?post=3027"}],"version-history":[{"count":5,"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/posts\/3027\/revisions"}],"predecessor-version":[{"id":4932,"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/posts\/3027\/revisions\/4932"}],"wp:attachment":[{"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/media?parent=3027"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/categories?post=3027"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/tags?post=3027"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}