翻訳と辞書 Words near each other ・ Hypolytrum subcompositus ・ Hypomagnesemia ・ Hypomagnesemia with secondary hypocalcemia ・ Hypomania ・ Hypomania Checklist ・ Hypomanic (album) ・ Hypomartyria ・ Hypomartyria micropteroides ・ Hypomasculinity ・ Hypomasticus ・ Hypomeces ・ Hypogonadism ・ Hypogonadotropic hypogonadism ・ Hypogrammodes ・ Hypograph ・ Hypograph (mathematics) ・ Hypographa ・ Hypographa phlegetonaria ・ Hypogrella ・ Hypogymnia ・ Hypogée des Dunes ・ Hypohalite ・ Hypohamiltonian graph ・ Hypohelion ・ Hypohidrosis ・ Hypohidrotic ectodermal dysplasia ・ Hypohippus ・ Hypoiodous acid ・ Hypoionian mode ・ Hypokalemia 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 Hypograph (mathematics) ： ウィキペディア英語版 Hypograph (mathematics) In mathematics, the hypograph or subgraph of a function ''f'' : R''n'' → R is the set of points lying on or below its graph: : $\backslash mbox\; f\; =\; \backslash ,\backslash ,\; \backslash mu\; \backslash le\; f(x)\; \backslash \}\; \backslash subseteq\; \backslash mathbb^$ and the strict hypograph of the function is: : The set is empty if $f\; \backslash equiv\; -\backslash infty$. The domain (rather than the co-domain) of the function is not particularly important for this definition; it can be an arbitrary set instead of $\backslash mathbb^n$. Similarly, the set of points on or above the function's graph is its epigraph. ==Properties== A function is concave if and only if its hypograph is a convex set. The hypograph of a real affine function ''g'' : R''n'' → R is a halfspace in R''n''+1. A function is upper semicontinuous if and only if its hypograph is closed. 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「Hypograph (mathematics)」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.