翻訳と辞書 Words near each other ・ Seven's Travels ・ Seven, Come Eleven ・ Seven, They Are Seven ・ Seven-arm octopus ・ Seven-ball ・ Seven-ball (disambiguation) ・ Seven-banded armadillo ・ Seven-banded wrasse ・ Seven-Branched Sword ・ Seven-card stud ・ Seven-coloured tanager ・ Seven-Day War ・ Seven-deadly-sins law ・ Seven-digit dialing ・ Seven-dimensional cross product ・ Seven-dimensional space ・ Seven-dots glyph ・ Seven-Faceted Blessing ・ Seven-headed serpent ・ Seven-layer dip ・ Seven-layer salad ・ Seven-league boots ・ Seven-man line defense ・ Seven-number summary ・ Seven-O-Heaven ・ Seven-O-One ・ Seven-point agreement (Jordan) ・ Seven-segment display ・ Seven-segment display character representations ・ Seven-Star Cave 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 Seven-dimensional space ： ウィキペディア英語版 Seven-dimensional space In mathematics, a sequence of ''n'' real numbers can be understood as a location in ''n''-dimensional space. When ''n'' = 7, the set of all such locations is called 7-dimensional space. Often such a space are studied as a vector space, without any notion of distance. Seven-dimensional Euclidean space is seven-dimensional space equipped with a Euclidean metric, which is defined by the dot product. More generally, the term may refer to a seven-dimensional vector space over any field, such as a seven-dimensional complex vector space, which has 14 real dimensions. It may also refer to a seven-dimensional manifold such as a 7-sphere, or a variety of other geometric constructions. Seven-dimensional spaces have a number of special properties, many of them related to the octonions. An especially distinctive property is that a cross product can be defined only in three or seven dimensions. This is related to Hurwitz's theorem, which prohibits the existence of algebraic structures like the quaternions and octonions in dimensions other than 2, 4, and 8. The first exotic spheres ever discovered were seven-dimensional. ==Geometry== 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「Seven-dimensional space」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.