翻訳と辞書 Words near each other ・ Borel conjecture ・ Borel determinacy theorem ・ Borel distribution ・ Borel equivalence relation ・ Borel fixed-point theorem ・ Borel functional calculus ・ Borel hierarchy ・ Borel hydro-monoplane ・ Borel isomorphism ・ Borel measure ・ Borel military monoplane ・ Borel regular measure ・ Borel right process ・ Borel set ・ Borel subgroup ・ Borel summation ・ Borel Torpille ・ Borel transform ・ Borel's lemma ・ Borel's theorem ・ Borel, California ・ Borel-Odier Bo-T ・ Boreland ・ Borella ・ Borella (game) ・ Borella Electoral District ・ Borelli ・ Borelli v. Brusseau ・ Borello ・ Borell–Brascamp–Lieb inequality Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Borel summation ： ウィキペディア英語版 Borel summation In mathematics, Borel summation is a summation method for divergent series, introduced by . It is particularly useful for summing divergent asymptotic series, and in some sense gives the best possible sum for such series. There are several variations of this method that are also called Borel summation, and a generalization of it called Mittag-Leffler summation. ==Definition== There are (at least) three slightly different methods called Borel summation. They differ in which series they can sum, but are consistent, meaning that if two of the methods sum the same series they give the same answer. Throughout let ''A(z)'' denote a formal power series :$A(z)\; =\; \backslash sum\_^\backslash infty\; a\_kz^k$, and define the Borel transform of ''A'' to be its equivalent exponential series :$\backslash mathcalA(t)\; \backslash equiv\; \backslash sum\_^\backslash infty\; \backslash fract^k.$ 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「Borel summation」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.