翻訳と辞書 Words near each other ・ Projective plane ・ Projective polyhedron ・ Projective range ・ Projective representation ・ Projective set (disambiguation) ・ Projective Set (game) ・ Projective space ・ Projective superspace ・ Projective test ・ Projective texture mapping ・ Projective unitary group ・ Projective variety ・ Projective vector field ・ Projectively extended real line ・ Projectivism ・ Projectivization ・ ProjectLibre ・ Projectline ・ ProjectManager.com ・ Projectnet ・ Projecto Moda (Project Runway Portugal) ・ Projectograph ・ Projector ・ Projector (album) ・ Projector (comics) ・ Projector (disambiguation) ・ Projector (patent) ・ Projector augmented wave method ・ Projector phone ・ Projector PSA 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 Projectivization ： ウィキペディア英語版 Projectivization In mathematics, projectivization is a procedure which associates with a non-zero vector space ''V'' a projective space $(V)$, whose elements are one-dimensional subspaces of ''V''. More generally, any subset ''S'' of ''V'' closed under scalar multiplication defines a subset of $(V)$ formed by the lines contained in ''S'' and is called the projectivization of ''S''. == Properties == * Projectivization is a special case of the factorization by a group action: the projective space $(V)$ is the quotient of the open set ''V''\ of nonzero vectors by the action of the multiplicative group of the base field by scalar transformations. The dimension of $(V)$ in the sense of algebraic geometry is one less than the dimension of the vector space ''V''. * Projectivization is functorial with respect to injective linear maps: if :: $f:\; V\backslash to\; W$ : is a linear map with trivial kernel then ''f'' defines an algebraic map of the corresponding projective spaces, :: $\backslash mathbb(f):\; \backslash mathbb(V)\backslash to\; \backslash mathbb(W).$ : In particular, the general linear group GL(''V'') acts on the projective space $(V)$ by automorphisms. 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「Projectivization」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.