翻訳と辞書 Words near each other ・ Metric discography ・ Metric engine (American expression) ・ Metric expansion of space ・ Metric foot ・ Metric gauge ・ Metric Hosiery Company ・ Metric k-center ・ Metric map ・ Metric Martyrs ・ Metric mile ・ Metric modulation ・ Metric outer measure ・ Metric Pixel Canvas ・ Metric prefix ・ Metric signature ・ Metric space ・ Metric space aimed at its subspace ・ Metric Structures for Riemannian and Non-Riemannian Spaces ・ Metric system ・ Metric tensor ・ Metric tensor (general relativity) ・ Metric time ・ Metric Today ・ Metric tree ・ Metric typographic units ・ Metric-affine gravitation theory ・ Metrica ・ Metrical phonology ・ Metrical psalter ・ Metrical task system 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 Metric space ： ウィキペディア英語版 Metric space In mathematics, a metric space is a set for which distances between all members of the set are defined. Those distances, taken together, are called a metric on the set. The most familiar metric space is 3-dimensional Euclidean space. In fact, a "metric" is the generalization of the Euclidean metric arising from the four long-known properties of the Euclidean distance. The Euclidean metric defines the distance between two points as the length of the straight line segment connecting them. Other metric spaces occur for example in elliptic geometry and hyperbolic geometry, where distance on a sphere measured by angle is a metric, and the hyperboloid model of hyperbolic geometry is used by special relativity as a metric space of velocities. A metric on a space induces topological properties like open and closed sets, which lead to the study of more abstract topological spaces. == History == Maurice Fréchet introduced metric spaces in his work ''Sur quelques points du calcul fonctionnel'', Rendic. Circ. Mat. Palermo 22 (1906) 1–74. 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「Metric 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.