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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 Schur-concave ： ウィキペディア英語版 Schur-convex function In mathematics, a Schur-convex function, also known as S-convex, isotonic function and order-preserving function is a function $f:\; \backslash mathbb^d\backslash rightarrow\; \backslash mathbb$ that for all $x,y\backslash in\; \backslash mathbb^d$ such that $x$ is majorized by $y$, one has that $f(x)\backslash le\; f(y)$. Named after Issai Schur, Schur-convex functions are used in the study of majorization. Every function that is convex and symmetric is also Schur-convex. The opposite implication is not true, but all Schur-convex functions are symmetric (under permutations of the arguments). == Schur-concave function == A function ''f'' is 'Schur-concave' if its negative, -''f'', is Schur-convex. 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「Schur-convex function」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.