翻訳と辞書 Words near each other ・ Fencer of Minerva ・ Fencers Club ・ Fences (album) ・ Fences (band) ・ Fences (play) ・ Fences (software) ・ Fences and pickets model of plasma membrane structure ・ Fences and Windows ・ Fences in Saint Petersburg ・ Fences/Mansions Split 7" ・ FenceSitter Films ・ Fenchel ・ Fenchel's duality theorem ・ Fenchel's Law ・ Fenchel's theorem ・ Fenchel–Moreau theorem ・ Fenchel–Nielsen coordinates ・ Fenchol ・ Fenchone ・ Fenchuganj Upazila ・ Fenchurch ・ Fenchurch (clothing) ・ Fenchurch Street ・ Fenchurch Street railway station ・ Fencibles ・ Fencibles United ・ Fencing ・ Fencing (computing) ・ Fencing at 2013 World Combat Games – Men's Epee Individual ・ Fencing at 2013 World Combat Games – Men's Foil Individual 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 Fenchel–Moreau theorem ： ウィキペディア英語版 Fenchel–Moreau theorem In convex analysis, the Fenchel–Moreau theorem (named after Werner Fenchel and Jean Jacques Moreau) or Fenchel biconjugation theorem (or just biconjugation theorem) is a theorem which gives necessary and sufficient conditions for a function to be equal to its biconjugate. This is in contrast to the general property that for any function $f^\; \backslash leq\; f$. This can be seen as a generalization of the bipolar theorem.〔 It is used in duality theory to prove strong duality (via the perturbation function). == Statement of theorem == Let $(X,\backslash tau)$ be a Hausdorff locally convex space, for any extended real valued function $f:\; X\; \backslash to\; \backslash mathbb\; \backslash cup\; \backslash$ it follows that $f\; =\; f^$ if and only if one of the following is true # $f$ is a proper, lower semi-continuous, and convex function, # $f\; \backslash equiv\; +\backslash infty$, or # $f\; \backslash equiv\; -\backslash infty$.〔 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「Fenchel–Moreau theorem」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.