翻訳と辞書 Words near each other ・ Product liability ・ Product Liability Directive ・ Product liability in the Republic of Ireland ・ Product licensing application ・ Product life-cycle management (marketing) ・ Product life-cycle theory ・ Product lifecycle ・ Product line extension ・ Product lining ・ Product literature ・ Product management ・ Product manager ・ Product market ・ Product marketing ・ Product measure ・ Product metric ・ Product Miniature Company ・ Product naming ・ Product naming convention ・ Product numerical range ・ Product of experts ・ Product of group subsets ・ Product of groups ・ Product of Imagination ・ Product of rings ・ Product of Society ・ Product of the 80's ・ Product operator formalism ・ Product optimization ・ Product order 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 Product metric ： ウィキペディア英語版 Product metric In mathematics, the product metric is a definition of metric on the Cartesian product of two metric spaces in the category of metric spaces. Another family of choices of metric on the product space is the ''p'' product metric, described below, of the Cartesian product of ''n'' metric spaces is the ''p'' norm of the ''n''-vector of the norms of the ''n'' subspaces: :$d\_p(\backslash mathbf\_1,\backslash dots,\backslash mathbf\_n)\; =\; \backslash |(d\_1(\backslash mathbf\_1),\; \backslash dots,\; d\_n(\backslash mathbf\_n))\backslash |\_p$ Note that this differs, in general; see (Choice of norm) section below. ==Definition== Let $(X,\; d\_)$ and $(Y,\; d\_)$ be metric spaces and let $1\; \backslash leq\; p\; \backslash leq\; +\; \backslash infty$. Define the $p$-product metric $d\_$ on $X\; \backslash times\; Y$ by :$d\_\; \backslash left(\; (x\_,\; y\_)\; ,\; (x\_,\; y\_)\; \backslash right)\; :=\; \backslash left(\; d\_\; (x\_,\; x\_)^\; +\; d\_\; (y\_,\; y\_)^\; \backslash right)^$ for :$d\_\; \backslash left(\; (x\_,\; y\_)\; ,\; (x\_,\; y\_)\; \backslash right)\; :=\; \backslash max\; \backslash left\backslash ,\; x\_),\; d\_\; (y\_,\; y\_)\; \backslash right\backslash \}.$ for $x\_,\; x\_\; \backslash in\; X$ and $y\_,\; y\_\; \backslash in\; Y$. 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「Product metric」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.