翻訳と辞書 Words near each other ・ Inner light ・ Inner limiting membrane ・ Inner Line ・ Inner Line Permit ・ Inner Little Goose Island ・ Inner London ・ Inner London Crown Court ・ Inner London Education Authority ・ Inner London Education Authority election, 1986 ・ Inner London Probation Service ・ Inner loop ・ Inner loop (disambiguation) ・ Inner Loop (Rochester) ・ Inner Loop (Washington, D.C.) ・ Inner Manipur (Lok Sabha constituency) ・ Inner measure ・ Inner membrane ・ Inner Mind Mystique ・ Inner mission ・ Inner mitochondrial membrane ・ Inner model ・ Inner model theory ・ Inner Mongolia ・ Inner Mongolia Agricultural University ・ Inner Mongolia College of Farming and Animal Husbandry ・ Inner Mongolia Education Press ・ Inner Mongolia Medical University ・ Inner Mongolia Museum ・ Inner Mongolia Normal University ・ Inner Mongolia People's Publishing House 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 measure ： ウィキペディア英語版 Inner measure In mathematics, in particular in measure theory, an inner measure is a function on the set of all subsets of a given set, with values in the extended real numbers, satisfying some technical conditions. Intuitively, the inner measure of a set is a lower bound of the size of that set. == Definition == An inner measure is a function :$\backslash varphi:\; 2^X\; \backslash rightarrow\; (\backslash infty),$ defined on all subsets of a set ''X'', that satisfies the following conditions: *Null empty set: The empty set has zero inner measure (''see also: measure zero''). :: $\backslash varphi(\backslash varnothing)\; =\; 0$ * Superadditive: For any disjoint sets A and B, :: $\backslash varphi(\; A\; \backslash cup\; B)\; \backslash geq\; \backslash varphi(A)\; +\; \backslash varphi(\; B\; ).$ * Limits of decreasing towers: For any sequence of sets such that $A\_j\; \backslash supseteq\; A\_$ for each ''j'' and :: $\backslash varphi\; \backslash left(\backslash bigcap\_^\backslash infty\; A\_j\backslash right)\; =\; \backslash lim\_\; \backslash varphi(A\_j)$ * Infinity must be approached: If $\backslash varphi(A)\; =\; \backslash infty$ for a set A then for every positive number c, there exists a B which is a subset of A such that, :: 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 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.