翻訳と辞書 Words near each other ・ Relative bearing ・ Relative bearing indicator ・ Relative biological effectiveness ・ Relative canonical model ・ Relative change and difference ・ Relative Chaos ・ Relative clause ・ Relative contact homology ・ Relative currency strength ・ Relative dating ・ Relative Dementias ・ Relative density ・ Relative dentin abrasivity ・ Relative deprivation ・ Relative deprivation thesis ・ Relative dimension ・ Relative Dimensions ・ Relative direction ・ Relative effectiveness factor ・ Relative Fear ・ Relative fluorescence units ・ Relative gain (international relations) ・ Relative growth rate ・ Relative Heroes ・ Relative homology ・ Relative humidity ・ Relative identifier ・ Relative income hypothesis ・ Relative index of inequality ・ Relative Insight 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 Relative dimension ： ウィキペディア英語版 Relative dimension In mathematics, specifically linear algebra and geometry, relative dimension is the dual notion to codimension. In linear algebra, given a quotient map $V\; \backslash to\; Q$, the difference dim ''V'' − dim ''Q'' is the relative dimension; this equals the dimension of the kernel. In fiber bundles, the relative dimension of the map is the dimension of the fiber. More abstractly, the codimension of a map is the dimension of the cokernel, while the relative dimension of a map is the dimension of the kernel. These are dual in that the inclusion of a subspace $V\; \backslash to\; W$ of codimension ''k'' dualizes to yield a quotient map $W^$ * \to V^ * of relative dimension ''k'', and conversely. The additivity of codimension under intersection corresponds to the additivity of relative dimension in a fiber product. Just as codimension is mostly used for injective maps, relative dimension is mostly used for surjective maps. 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「Relative dimension」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.