翻訳と辞書 Words near each other ・ Stanley Wolpert ・ Stanley Wong ・ Stanley Wood ・ Stanley Woods ・ Stanley Woodward ・ Stanley Woodward Davenport ・ Stanley Woolen Mill ・ Stanley Wyatt Smith ・ Stanley Yelnats' Survival Guide to Camp Green Lake ・ Stanley York ・ Stanley Zdonik ・ Stanley Zlotkin ・ Stanley's Cup ・ Stanley's Dinosaur Round-Up ・ Stanley's Dragon ・ Stanley's reciprocity theorem ・ Stanley, Alexandria, Egypt ・ Stanley, Barron County, Wisconsin ・ Stanley, British Columbia ・ Stanley, California ・ Stanley, County Durham ・ Stanley, Derbyshire ・ Stanley, Falkland Islands ・ Stanley, Hong Kong ・ Stanley, Idaho ・ Stanley, Inc. ・ Stanley, Indiana ・ Stanley, Iowa ・ Stanley, Kansas ・ Stanley, Kentucky 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 Stanley's reciprocity theorem ： ウィキペディア英語版 Stanley's reciprocity theorem In combinatorial mathematics, Stanley's reciprocity theorem, named after MIT mathematician Richard P. Stanley, states that a certain functional equation is satisfied by the generating function of any rational cone (defined below) and the generating function of the cone's interior. == Definitions == A rational cone is the set of all ''d''-tuples :(''a''1, ..., ''a''''d'') of nonnegative integers satisfying a system of inequalities :$M\backslash left(\backslash \backslash \; \backslash vdots\; \backslash \backslash \; a\_d\backslash end\backslash right)\; \backslash geq\; \backslash left(\backslash \backslash \; \backslash vdots\; \backslash \backslash \; 0\backslash end\backslash right)$ where ''M'' is a matrix of integers. A ''d''-tuple satisfying the corresponding ''strict'' inequalities, i.e., with ">" rather than "≥", is in the ''interior'' of the cone. The generating function of such a cone is :$F(x\_1,\backslash dots,x\_d)=\backslash sum\_\backslash cdots\; x\_d^.$ The generating function ''F''int(''x''1, ..., ''x''''d'') of the interior of the cone is defined in the same way, but one sums over ''d''-tuples in the interior rather than in the whole cone. It can be shown that these are rational functions. 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「Stanley's reciprocity theorem」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.