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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 algebraic interior ： ウィキペディア英語版 algebraic interior In functional analysis, a branch of mathematics, the algebraic interior or radial kernel of a subset of a vector space is a refinement of the concept of the interior. It is the subset of points contained in a given set that it is absorbing with respect to, i.e. the radial points of the set. The elements of the algebraic interior are often referred to as internal points. Formally, if $X$ is a linear space then the algebraic interior of $A\; \backslash subseteq\; X$ is : $\backslash operatorname(A)\; :=\; \backslash left\backslash .$ Note that in general $\backslash operatorname(A)\; \backslash neq\; \backslash operatorname(\backslash operatorname(A))$, but if $A$ is a convex set then $\backslash operatorname(A)\; =\; \backslash operatorname(\backslash operatorname(A))$. If $A$ is a convex set then if then $\backslash lambda\; x\_0\; +\; (1\; -\; \backslash lambda)y\; \backslash in\; \backslash operatorname(A)$. == Example == If $A\; \backslash subset\; \backslash mathbb^2$ such that $A\; =\; \backslash \; x\_2\; \backslash leq\; 0\backslash \}$ then $0\; \backslash in\; \backslash operatorname(A)$, but $0\; \backslash not\backslash in\; \backslash operatorname(A)$ and $0\; \backslash not\backslash in\; \backslash operatorname(\backslash operatorname(A))$. 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「algebraic 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.