翻訳と辞書 Words near each other ・ Effective (database) ・ Effective action ・ Effective altruism ・ Effective arterial blood volume ・ Effective atomic number ・ Effective circulating volume ・ Effective competition ・ Effective complexity ・ Effective Cycling ・ Effective data transfer rate ・ Effective date ・ Effective demand ・ Effective descriptive set theory ・ Effective diffusion coefficient ・ Effective dimension ・ Effective domain ・ Effective dose ・ Effective dose (pharmacology) ・ Effective dose (radiation) ・ Effective evolutionary time ・ Effective exchange rate ・ Effective exchange rate index ・ Effective field goal percentage ・ Effective field theory ・ Effective fitness ・ Effective frequency ・ Effective gross income ・ Effective group decision-making ・ Effective half-life ・ Effective height 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 Effective domain ： ウィキペディア英語版 Effective domain In convex analysis, a branch of mathematics, the effective domain is an extension of the domain of a function. Given a vector space ''X'' then a convex function mapping to the extended reals, $f:\; X\; \backslash to\; \backslash mathbb\; \backslash cup\; \backslash$, has an ''effective domain'' defined by :$\backslash operatornamef\; =\; \backslash .\; \backslash ,$ If the function is concave, then the ''effective domain'' is :$\backslash operatornamef\; =\; \backslash .\; \backslash ,$〔 The effective domain is equivalent to the projection of the epigraph of a function $f:\; X\; \backslash to\; \backslash mathbb\; \backslash cup\; \backslash$ onto ''X''. That is :$\backslash operatornamef\; =\; \backslash f\backslash \}.\; \backslash ,$ Note that if a convex function is mapping to the normal real number line given by $f:\; X\; \backslash to\; \backslash mathbb$ then the effective domain is the same as the normal definition of the domain. A function $f:\; X\; \backslash to\; \backslash mathbb\; \backslash cup\; \backslash$ is a proper convex function if and only if ''f'' is convex, the effective domain of ''f'' is nonempty and $f(x)\; >\; -\backslash infty$ for every $x\; \backslash in\; X$.〔 == References == 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「Effective domain」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.