翻訳と辞書 Words near each other ・ Topological algebra ・ Topological Boolean algebra ・ Topological category ・ Topological censorship ・ Topological combinatorics ・ Topological complexity ・ Topological conjugacy ・ Topological data analysis ・ Topological defect ・ Topological degeneracy ・ Topological degree theory ・ Topological derivative ・ Topological divisor of zero ・ Topological drugs ・ Topological dynamics ・ Topological entropy ・ Topological entropy in physics ・ Topological excitations ・ Topological fluid dynamics ・ Topological functioning model ・ Topological game ・ Topological graph ・ Topological graph theory ・ Topological group ・ Topological half-exact functor ・ Topological index ・ Topological indistinguishability ・ Topological insulator ・ Topological K-theory ・ Topological manifold 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 Topological entropy ： ウィキペディア英語版 Topological entropy In mathematics, the topological entropy of a topological dynamical system is a nonnegative extended real number that is a measure of the complexity of the system. Topological entropy was first introduced in 1965 by Adler, Konheim and McAndrew. Their definition was modelled after the definition of the Kolmogorov–Sinai, or metric entropy. Later, Dinaburg and Rufus Bowen gave a different, weaker definition reminiscent of the Hausdorff dimension. The second definition clarified the meaning of the topological entropy: for a system given by an iterated function, the topological entropy represents the exponential growth rate of the number of distinguishable orbits of the iterates. An important variational principle relates the notions of topological and measure-theoretic entropy. == Definition == A topological dynamical system consists of a Hausdorff topological space ''X'' (usually assumed to be compact) and a continuous self-map ''f''. Its topological entropy is a nonnegative extended real number that can be defined in various ways, which are known to be equivalent. 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「Topological entropy」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.