翻訳と辞書 Words near each other ・ Inner Ninja ・ Inner North ・ Inner North Coast Ranges ・ Inner nuclear layer ・ Inner nuclear membrane protein ・ Inner painting ・ Inner Party ・ Inner path ・ Inner peace ・ Inner Pierhead Fort ・ Inner Plane ・ Inner plexiform layer ・ Inner Port Shelter ・ Inner product space ・ Inner Reef ・ Inner regular measure ・ Inner Relationship Focusing ・ Inner Revolution ・ Inner Ring Road ・ Inner Ring Road (Shanghai) ・ Inner Ring Road (Tianjin) ・ Inner Ring Road Multan ・ Inner Ring Road, Bangalore ・ Inner Ring Road, Berlin ・ Inner Ring Road, Chennai ・ Inner Ring Road, Hyderabad ・ Inner Rocks ・ Inner root sheath ・ Inner Rothorn ・ Inner Sanctum 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 Inner regular measure ： ウィキペディア英語版 Inner regular measure In mathematics, an inner regular measure is one for which the measure of a set can be approximated from within by compact subsets. ==Definition== Let (''X'', ''T'') be a Hausdorff topological space and let Σ be a σ-algebra on ''X'' that contains the topology ''T'' (so that every open set is a measurable set, and Σ is at least as fine as the Borel σ-algebra on ''X''). Then a measure ''μ'' on the measurable space (''X'', Σ) is called inner regular if, for every set ''A'' in Σ, :$\backslash mu\; (A)\; =\; \backslash sup\; \backslash .$ This property is sometimes referred to in words as "approximation from within by compact sets." Some authors〔 〕 use the term tight as a synonym for inner regular. This use of the term is closely related to tightness of a family of measures, since a measure ''μ'' is inner regular if and only if, for all ''ε'' > 0, there is some compact subset ''K'' of ''X'' such that ''μ''(''X'' \ ''K'') < ''ε''. This is precisely the condition that the singleton collection of measures is tight. 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「Inner regular measure」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.