翻訳と辞書 Words near each other ・ Compa-ratio ・ Compact ・ Compact (cosmetics) ・ Compact (newspaper) ・ Compact (TV series) ・ Compact Application Solution Language ・ Compact area group approach ・ Compact Books ・ Compact Camera Port 2 ・ Compact car ・ Compact cardinal ・ Compact Cassette ・ Compact City ・ Compact closed category ・ Compact complement topology ・ Compact convergence ・ Compact dimension ・ Compact disc ・ Compact Disc + Extended Graphics ・ Compact Disc and DVD copy protection ・ Compact Disc bronzing ・ Compact Disc Digital Audio ・ Compact Disc File System ・ Compact Disc manufacturing ・ Compact Disc subcode ・ Compact Disco ・ Compact Disk Dummies ・ Compact element ・ Compact excavator ・ Compact executive car 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 Compact convergence ： ウィキペディア英語版 Compact convergence In mathematics compact convergence (or uniform convergence on compact sets) is a type of convergence which generalizes the idea of uniform convergence. It is associated with the compact-open topology. ==Definition== Let $(X,\; \backslash mathcal)$ be a topological space and $(Y,d\_)$ be a metric space. A sequence of functions :$f\_\; :\; X\; \backslash to\; Y$, $n\; \backslash in\; \backslash mathbb,$ is said to converge compactly as $n\; \backslash to\; \backslash infty$ to some function $f\; :\; X\; \backslash to\; Y$ if, for every compact set $K\; \backslash subseteq\; X$, :$(f\_)|\_\; \backslash to\; f|\_$ converges uniformly on $K$ as $n\; \backslash to\; \backslash infty$. This means that for all compact $K\; \backslash subseteq\; X$, :$\backslash lim\_\; \backslash sup\_\; d\_\; \backslash left(\; f\_\; (x),\; f(x)\; \backslash right)\; =\; 0.$ 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「Compact convergence」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.