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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 Strictly positive measure ： ウィキペディア英語版 Strictly positive measure In mathematics, strict positivity is a concept in measure theory. Intuitively, a strictly positive measure is one that is "nowhere zero", or that it is zero "only on points". ==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 (''X'', Σ) is called strictly positive if every non-empty open subset of ''X'' has strictly positive measure. In more condensed notation, ''μ'' is strictly positive if and only if :$\backslash forall\; U\; \backslash in\; T\; \backslash mbox\; U\; \backslash neq\; \backslash emptyset,\; \backslash mu\; (U)\; >\; 0.$ 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「Strictly positive 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.