翻訳と辞書 Words near each other ・ Valu Kash ・ Valu Kola ・ Valu lui Traian ・ Valu Thimmapuram ・ Valu-Mart ・ Valu-mart ・ Valu-Rite ・ Valuair ・ Valuas ・ Valuas (folklore) ・ Valuas (restaurant) ・ Valuation ・ Valuation (algebra) ・ Valuation (finance) ・ Valuation (logic) ・ Valuation (measure theory) ・ Valuation effects ・ Valuation of cancellations of the Austrian Empire ・ Valuation of Nonmarket Housework ・ Valuation of options ・ Valuation Office Agency ・ Valuation ring ・ Valuation risk ・ Valuation using discounted cash flows ・ Valuation using multiples ・ Valuation using the Market Penetration Model ・ Valuation-based system ・ Valuative criterion ・ Valucha deCastro ・ Value 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 Valuation (measure theory) ： ウィキペディア英語版 Valuation (measure theory) In measure theory, or at least in the approach to it via the domain theory, a valuation is a map from the class of open sets of a topological space to the set positive real numbers including infinity. It is a concept closely related to that of a measure, and as such, it finds applications in measure theory, probability theory, and theoretical computer science. == Domain/Measure theory definition == Let $\backslash scriptstyle\; (X,\backslash mathcal)$ be a topological space: a valuation is any map :$v:\backslash mathcal\; \backslash rightarrow\; \backslash mathbb^+\backslash cup\backslash$ satisfying the following three properties : $$ \begin v(\varnothing) = 0 & & \scriptstyle~U\subseteq V\quad U,V\in\mathcal & \scriptstyle & \scriptstyle The definition immediately shows the relationship between a valuation and a measure: the properties of the two mathematical object are often very similar if not identical, the only difference being that the domain of a measure is the Borel algebra of the given topological space, while the domain of a valuation is the class of open sets. Further details and references can be found in and . 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「Valuation (measure theory)」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.