翻訳と辞書 Words near each other ・ Projected ・ Projected area ・ Projected dynamical system ・ Projected set ・ Projected tolerance zone ・ ProjectExplorer ・ Projectile ・ Projectile motion ・ Projectile point ・ Projectile use by living systems ・ Projection ・ Projection (alchemy) ・ Projection (linear algebra) ・ Projection (mathematics) ・ Projection (relational algebra) ・ Projection (set theory) ・ Projection areas ・ Projection augmented model ・ Projection bias ・ Projection body ・ Projection booth ・ Projection clock ・ Projection effect ・ Projection fiber ・ Projection formula ・ Projection keyboard ・ Projection mapping ・ Projection method (fluid dynamics) ・ Projection micro-stereolithography ・ Projection panel 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 Projection (set theory) ： ウィキペディア英語版 Projection (set theory) In set theory, a projection is one of two closely related types of functions or operations, namely: * A set-theoretic operation typified by the ''j''th projection map, written $\backslash mathrm\_\backslash !$, that takes an element $\backslash vec\; =\; (x\_1,\backslash \; \backslash ldots,\backslash \; x\_j,\backslash \; \backslash ldots,\backslash \; x\_k)$ of the Cartesian product $(X\_1\; \backslash times\; \backslash cdots\; \backslash times\; X\_j\; \backslash times\; \backslash cdots\; \backslash times\; X\_k)$ to the value $\backslash mathrm\_(\backslash vec)\; =\; x\_j$.〔.〕 * A function that sends an element ''x'' to its equivalence class under a specified equivalence relation ''E'',〔.〕 or, equivalently, a surjection from a set to another set.〔.〕 The function from elements to equivalence classes is a surjection, and every surjection corresponds to an equivalence relation under which two elements are equivalent when they have the same image. The result of the mapping is written as () when ''E'' is understood, or written as ()''E'' when it is necessary to make ''E'' explicit. ==See also== * Cartesian product * Projection (relational algebra) * Projection (mathematics) * Relation 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「Projection (set theory)」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.