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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 relative interior ： ウィキペディア英語版 relative interior In mathematics, the relative interior of a set is a refinement of the concept of the interior, which is often more useful when dealing with low-dimensional sets placed in higher-dimensional spaces. Intuitively, the relative interior of a set contains all points which are not on the "edge" of the set, relative to the smallest subspace in which this set lies. Formally, the relative interior of a set ''S'' (denoted $\backslash operatorname(S)$) is defined as its interior within the affine hull of ''S''. In other words, :$\backslash operatorname(S)\; :=\; \backslash ,$ where $\backslash operatorname(S)$ is the affine hull of ''S'', and $N\_\backslash epsilon(x)$ is a ball of radius $\backslash epsilon$ centered on $x$. Any metric can be used for the construction of the ball; all metrics define the same set as the relative interior. For any nonempty convex sets $C\; \backslash subseteq\; \backslash mathbb^n$ the relative interior can be defined as :$\backslash operatorname(C)\; :=\; \backslash :\; \backslash lambda\; x\; +\; (1-\backslash lambda)y\; \backslash in\; C\backslash \}.$ == See also == * Interior (topology) * Algebraic interior * Quasi-relative interior 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「relative interior」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.