翻訳と辞書 Words near each other ・ Homogamy (sociology) ・ Homogeneity (disambiguation) ・ Homogeneity (physics) ・ Homogeneity (statistics) ・ Homogeneity and heterogeneity ・ Homogeneous (chemistry) ・ Homogeneous (large cardinal property) ・ Homogeneous alignment ・ Homogeneous broadening ・ Homogeneous catalysis ・ Homogeneous charge compression ignition ・ Homogeneous coordinate ring ・ Homogeneous coordinates ・ Homogeneous differential equation ・ Homogeneous distribution ・ Homogeneous function ・ Homogeneous isotropic turbulence ・ Homogeneous polynomial ・ Homogeneous space ・ Homogeneous tree ・ Homogeneous variety ・ Homogeneously staining region ・ Homogeneously Suslin set ・ Homogenes ・ Homogenes albolineatus ・ Homogenes leprieurii ・ Homogenes mimus ・ Homogenes rubrogaster ・ Homogenic ・ Homogenic Tour 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 Homogeneous function ： ウィキペディア英語版 Homogeneous function In mathematics, a homogeneous function is a function with multiplicative scaling behaviour: if the argument is multiplied by a factor, then the result is multiplied by some power of this factor. More precisely, if is a function between two vector spaces over a field ''F'', and ''k'' is an integer, then ''ƒ'' is said to be homogeneous of degree ''k'' if for all nonzero and . This implies it has scale invariance. When the vector spaces involved are over the real numbers, a slightly less general form of homogeneity is often used, requiring only that () hold for all α > 0. Homogeneous functions can also be defined for vector spaces with the origin deleted, a fact that is used in the definition of sheaves on projective space in algebraic geometry. More generally, if ''S'' ⊂ ''V'' is any subset that is invariant under scalar multiplication by elements of the field (a "cone"), then a homogeneous function from ''S'' to ''W'' can still be defined by (). ==Examples== 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「Homogeneous 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.