翻訳と辞書 Words near each other ・ Recurvaria rhombophorella ・ Recurvaria sartor ・ Recurvaria saxea ・ Recurvaria senariella ・ Recurvaria stibomorpha ・ Recurrent artery of Heubner ・ Recurrent branch of the median nerve ・ Recurrent brief depression ・ Recurrent corneal erosion ・ Recurrent evolution ・ Recurrent genital herpes quality of life measure ・ Recurrent laryngeal nerve ・ Recurrent miscarriage ・ Recurrent neural network ・ Recurrent palmoplantar hidradenitis ・ Recurrent point ・ Recurrent pyogenic cholangitis ・ Recurrent rotation ・ Recurrent sequence ・ Recurrent tensor ・ Recurrent thalamo-cortical resonance ・ Recurrent toxin-mediated perineal erythema ・ Recurrent word ・ Recurring ・ Recurring (album) ・ Recurring character ・ Recurring characters in the Aubrey–Maturin series ・ Recurring Characters in the Hercule Poirot stories ・ Recurring characters of Home and Away ・ Recurring characters of Neighbours 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 Recurrent point ： ウィキペディア英語版 Recurrent point In mathematics, a recurrent point for a function ''f'' is a point that is in its own limit set by ''f''. Any neighborhood containing the recurrent point will also contain (a countable number of) iterates of it as well. ==Definition== Let $X$ be a Hausdorff space and $f\backslash colon\; X\backslash to\; X$ a function. A point $x\backslash in\; X$ is said to be recurrent (for $f$) if $x\backslash in\; \backslash omega(x)$, ''i.e.'' if $x$ belongs to its $\backslash omega$-limit set. This means that for each neighborhood $U$ of $x$ there exists $n>0$ such that $f^n(x)\backslash in\; U$.〔.〕 The set of recurrent points of $f$ is often denoted $R(f)$ and is called the recurrent set of $f$. Its closure is called the Birkhoff center of $f$,〔.〕 and appears in the work of George David Birkhoff on dynamical systems.〔.〕〔. As cited by .〕 Every recurrent point is a nonwandering point,〔 hence if $f$ is a homeomorphism and $X$ is compact, then $R(f)$ is an invariant subset of the non-wandering set of $f$ (and may be a proper subset). 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「Recurrent point」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.