翻訳と辞書 Words near each other ・ Q-steer ・ Q-switching ・ Q-system (geotechnical engineering) ・ Q-systems ・ Q-Tee ・ Q-Tee Spy ・ Q-Telecom ・ Q-theta function ・ Q-Tip (musician) ・ Q-Tip discography ・ Q-Tips (band) ・ Q-type asteroid ・ Q-type calcium channel ・ Q-type Queens car (New York City Subway car) ・ Q-Unique ・ Q-Vandermonde identity ・ Q-Vectors ・ Q-version ・ Q-Warrior ・ Q-Weibull distribution ・ Q-workshop ・ Q-York ・ Q-Zar ・ Q. A. M. A. Rahim ・ Q. Allan Brocka ・ Q. Byrum Hurst ・ Q. Byrum Hurst, Jr. ・ Q. D. Leavis ・ Q. David Bowers ・ Q. gracilis 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 Q-Vandermonde identity ： ウィキペディア英語版 Q-Vandermonde identity In mathematics, in the field of combinatorics, the ''q''-Vandermonde identity is a ''q''-analogue of the Chu–Vandermonde identity. Using standard notation for ''q''-binomial coefficients, the identity states that :$\backslash binom\_\; =\backslash sum\_\; \backslash binom\_\; \backslash binom\_\; q^.$ The nonzero contributions to this sum come from values of ''j'' such that the ''q''-binomial coefficients on the right side are nonzero, that is, ==Other conventions== As is typical for ''q''-analogues, the ''q''-Vandermonde identity can be rewritten in a number of ways. In the conventions common in applications to quantum groups, a different ''q''-binomial coefficient is used. This ''q''-binomial coefficient, which we denote here by $B\_q(n,k)$, is defined by :$B\_q(n,\; k)\; =\; q^\; \backslash binom\_.$ In particular, it is the unique shift of the "usual" ''q''-binomial coefficient by a power of ''q'' such that the result is symmetric in ''q'' and $q^$. Using this ''q''-binomial coefficient, the ''q''-Vandermonde identity can be written in the form :$B\_q(m\; +\; n,k)=q^\backslash sum\_q^\; B\_q(m,k\; -\; j)\; B\_q(n,j).$ 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「Q-Vandermonde identity」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.