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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 Jacobi identity ： ウィキペディア英語版 Jacobi identity In mathematics the Jacobi identity is a property a binary operation can have that determines how the order of evaluation behaves for the given operation. Unlike for associative operations, order of evaluation is significant for operations satisfying Jacobi identity. It is named after the German mathematician Carl Gustav Jakob Jacobi. ==Definition== A binary operation ''×'' on a set ''S'' possessing a binary operation ''+'' with additive identity denoted 0 satisfies the Jacobi identity if : $a\; \backslash times\; (b\; \backslash times\; c)\; +\; c\; \backslash times\; (a\; \backslash times\; b)\; +\; b\; \backslash times\; (c\; \backslash times\; a)\; =\; 0\backslash quad\; \backslash forall\backslash in\; S.$ That is, the sum of all even permutations of (a,(b,c)) must be zero. (Where the permutation is done by leaving the parentheses fixed and interchanging letters an even number of times.) 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「Jacobi 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.