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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 Regular measure ： ウィキペディア英語版 Regular measure In mathematics, a regular measure on a topological space is a measure for which every measurable set can be approximated from above by open measurable sets and from below by compact measurable sets. ==Definition== Let (''X'', ''T'') be a topological space and let Σ be a σ-algebra on ''X''. Let ''μ'' be a measure on (''X'', Σ). A measurable subset ''A'' of ''X'' is said to be inner regular if :$\backslash mu\; (A)\; =\; \backslash sup\; \backslash$ and said to be outer regular if :$\backslash mu\; (A)\; =\; \backslash inf\; \backslash$ *A measure is called inner regular if every measurable set is inner regular. Some authors use a different definition: a measure is called inner regular if every open measurable set is inner regular. *A measure is called outer regular if every measurable set is outer regular. *A measure is called regular if it is outer regular and inner regular. 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「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.