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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Boole's rule ： ウィキペディア英語版 Boole's rule In mathematics, Boole's rule, named after George Boole, is a method of numerical integration. It approximates an integral : $\backslash int\_^\; f(x)\backslash ,dx$ by using the values of ''ƒ'' at five equally spaced points : $x\_1,\; \backslash quad\; x\_2\; =\; x\_1\; +\; h,\; \backslash quad\; x\_3\; =\; x\_1\; +\; 2h,\; \backslash quad\; x\_4\; =\; x\_1\; +\; 3h,\; \backslash quad\; x\_5\; =\; x\_1\; +4h.\; \backslash ,$ It is expressed thus in Abramowitz and Stegun (1972, p. 886): : $\backslash int\_^\; f(x)\backslash ,dx\; =\; \backslash frac\backslash left(\; 7f(x\_1)\; +\; 32\; f(x\_2)\; +\; 12\; f(x\_3)\; +\; 32\; f(x\_4)\; +\; 7f(x\_5)\; \backslash right)\; +\; \backslash text,$ and the error term is : $-\backslash ,\backslash frac\; h^7\; f^(c)$ for some number ''c'' between ''x''1 and ''x''5. (945 = 1 × 3 × 5 × 7 × 9.) It is often known as Bode's rule, due to a typographical error that propagated; e.g. in Abramowitz and Stegun (1972, p. 886). ==See also== * Newton-Cotes formulas * Simpson's Rule * Romberg's method 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Boole's rule」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.