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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 Triple product property ： ウィキペディア英語版 Triple product property In abstract algebra, the triple product property is an identity satisfied in some groups. Let $G$ be a non-trivial group. Three nonempty subsets $S,\; T,\; U\; \backslash subset\; G$ are said to have the ''triple product property'' in $G$ if for all elements $s,\; s\text{'}\; \backslash in\; S$, $t,\; t\text{'}\; \backslash in\; T$, $u,\; u\text{'}\; \backslash in\; U$ it is the case that : $$ s's^t't^u'u^ = 1 \Rightarrow s' = s, t' = t, u' = u where $1$ is the identity of $G$. It plays a role in research of fast matrix multiplication algorithms. ==References== * Henry Cohn, Chris Umans. A Group-theoretic Approach to Fast Matrix Multiplication. . ''Proceedings of the 44th Annual IEEE Symposium on Foundations of Computer Science'', 11–14 October 2003, Cambridge, MA, IEEE Computer Society, pp. 438–449. 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「Triple product property」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.