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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 shift space ： ウィキペディア英語版 shift space In symbolic dynamics and related branches of mathematics, a shift space or subshift is a set of infinite words that represent the evolution of a discrete system. In fact, shift spaces and ''symbolic dynamical systems'' are often considered synonyms. == Notation == Let ''A'' be a finite set of states. An ''infinite'' (respectively ''bi-infinite'') ''word'' over ''A'' is a sequence $\backslash mathbf\; x=(x\_n)\_$, where $M=\backslash mathbb\; N$ (resp. $M=\backslash mathbb\; Z$) and $x\_n$ is in ''A'' for any $n\; \backslash in\; M$. The shift operator $\backslash sigma$ acts on an infinite or bi-infinite word by shifting all symbols to the left, i.e., :$(\backslash sigma(\backslash mathbf\; x))(n)=x\_$ for all ''n''. In the following we choose $M=\backslash mathbb\; N$ and thus speak of infinite words, but all definitions are naturally generalizable to the bi-infinite case. 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「shift space」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.