翻訳と辞書 Words near each other ・ Points of View (Dave Holland Quintet album) ・ Points of View (Surls) ・ Points Offthebench ・ 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 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 ： ウィキペディア英語版 Pointwise In mathematics, the qualifier pointwise is used to indicate that a certain property is defined by considering each value $f(x)$ of some function $f.$ An important class of pointwise concepts are the ''pointwise operations'' — operations defined on functions by applying the operations to function values separately for each point in the domain of definition. Important relations can also be defined pointwise. == Pointwise operations == Examples include : $$ \begin (f+g)(x) & = f(x)+g(x) & \text \\ (f\cdot g)(x) & = f(x) \cdot g(x) & \text \\ (\lambda f)(x) & = \lambda \cdot f(x) & \text \end where $f,g:X\backslash to\; R$. See pointwise product, scalar. Pointwise operations inherit such properties as associativity, commutativity and distributivity from corresponding operations on the codomain. An example of an operation on functions which is ''not'' pointwise is convolution. By taking some algebraic structure $A$ in the place of $R$, we can turn the set of all functions $X$ to the carrier set of $A$ into an algebraic structure of the same type in an analogous way. 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」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.