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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 Absolutely convex set ： ウィキペディア英語版 Absolutely convex set A set ''C'' in a real or complex vector space is said to be absolutely convex if it is convex and balanced. == Properties == A set $C$ is absolutely convex if and only if for any points $x\_1,\; \backslash ,\; x\_2$ in $C$ and any numbers $\backslash lambda\_1,\; \backslash ,\; \backslash lambda\_2$ satisfying $|\backslash lambda\_1|\; +\; |\backslash lambda\_2|\; \backslash leq\; 1$ the sum $\backslash lambda\_1\; x\_1\; +\; \backslash lambda\_2\; x\_2$ belongs to $C$. Since the intersection of any collection of absolutely convex sets is absolutely convex then for any subset ''A'' of a vector space one can define its absolutely convex hull to be the intersection of all absolutely convex sets containing ''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「Absolutely convex set」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.