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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 Bell polynomial ： ウィキペディア英語版 Bell polynomials In combinatorial mathematics, the Bell polynomials, named in honor of Eric Temple Bell, are a triangular array of polynomials given by :$B\_(x\_1,x\_2,\backslash dots,x\_)$ :$=\backslash sum$ \left(\right)^\left(\right)^\cdots\left(\right)^= k\quad\mbox\quad j_1+2j_2+3j_3+\cdots + (n-k+1)j_=n. ==Complete Bell polynomials== The sum :$B\_n(x\_1,\backslash dots,x\_n)=\backslash sum\_^n\; B\_(x\_1,x\_2,\backslash dots,x\_)$ is sometimes called the ''n''th complete Bell polynomial. In order to contrast them with complete Bell polynomials, the polynomials ''B''''n'',''k'' are sometimes called ''partial'' or ''incomplete'' Bell polynomials. The complete Bell polynomials satisfy the following identity : -1 & x_1 & x_2 & x_3 & x_4 & \cdots & \cdots & x_ \\ \\ 0 & -1 & x_1 & x_2 & x_3 & \cdots & \cdots & x_ \\ \\ 0 & 0 & -1 & x_1 & x_2 & \cdots & \cdots & x_ \\ \\ 0 & 0 & 0 & -1 & x_1 & \cdots & \cdots & x_ \\ \\ 0 & 0 & 0 & 0 & -1 & \cdots & \cdots & x_ \\ \\ \vdots & \vdots & \vdots & \vdots & \vdots & \ddots & \ddots & \vdots \\ \\ 0 & 0 & 0 & 0 & 0 & \cdots & -1 & x_1 \end. 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「Bell polynomials」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.