翻訳と辞書 Words near each other ・ Projective object ・ Projective orthogonal group ・ 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 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 Projectively extended real line ： ウィキペディア英語版 Projectively extended real line In real analysis, the projectively extended real line (also called the one-point compactification of the real line, or simply real projective line), is the extension of the number line by a point denoted . It is thus the set $\backslash mathbb\backslash cup\backslash$ (where $\backslash mathbb$ is the set of the real numbers), sometimes denoted by $\backslash widehat\{\backslash mathbb\{R\}\}.$ The added point is called the point at infinity, because it is considered as a neighbour of both ends of the real line. More precisely, the point at infinity is the limit of every sequence of real numbers whose absolute values are increasing and unbounded. The projectively extended real line may be identified with the projective line over the reals in which three specific points (e.g. , and ) have been chosen. The projectively extended real line must not be confused with the extended real number line, in which and are distinct. ==Dividing by zero== Unlike most mathematical models of the intuitive concept of 'number', this structure allows division by zero: :$\backslash frac\; =\; \backslash infty$ for nonzero ''a''. In particular , and moreover , making reciprocal, math 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「Projectively extended real line」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.