翻訳と辞書 Words near each other ・ Points on the Curve ・ Points per game ・ Points per minute ・ Points race ・ Points system ・ Points, West Virginia ・ Points-based immigration system (United Kingdom) ・ Points-of-parity/points-of-difference ・ Pointstream Software ・ PointTracker ・ PointUI Home ・ Pointvillers ・ Pointwise ・ Pointwise convergence ・ Pointwise mutual information ・ Pointwise product ・ Pointy ears ・ Pointy Records ・ Pointy-haired Boss ・ Pointy-nosed blue chimaera ・ Pointy-talky card ・ Pointz ・ Point–line–plane postulate ・ Poinville ・ Poinçon-lès-Larrey ・ Poio ・ Poionos ・ Poios thelei na ginei ekatommyriouchos ・ Poipet ・ Poipu Beach Park 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 Pointwise product ： ウィキペディア英語版 Pointwise product The pointwise product of two functions is another function, obtained by multiplying the image of the two functions at each value in the domain. If ''f'' and ''g'' are both functions with domain ''X'' and codomain ''Y'', and elements of ''Y'' can be multiplied (for instance, ''Y'' could be some set of numbers), then the pointwise product of ''f'' and ''g'' is another function from ''X'' to ''Y'' which maps ''x'' ∈ ''X'' to ''f''(''x'')''g''(''x''). ==Formal definition== Let ''X'' and ''Y'' be sets, and let multiplication be defined in ''Y''—that is, for each ''y'' and ''z'' in ''Y'' let the product : $\backslash cdot\; :\; Y\; \backslash times\; Y\; \backslash longrightarrow\; Y$ given by $y\; \backslash cdot\; z\; =\; yz$ be well-defined. Let ''f'' and ''g'' be functions . Then the pointwise product is defined by : $(f\; \backslash cdot\; g)(x)\; =\; f(x)\; \backslash cdot\; g(x)$ for each ''x'' in ''X''. In the same manner in which the binary operator ⋅ is omitted from products, we say that . 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「Pointwise product」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.