翻訳と辞書 Words near each other ・ Two-tier system ・ Two-tier tender offer ・ Two-tiered pricing ・ Two-Time Mama ・ Two-Timin' Me ・ Two-timing ・ Two-Timing Touch and Broken Bones ・ Two-toed amphiuma ・ Two-toed Earless Skink ・ Two-toed sloth ・ Two-Toed Tom ・ Two-tone ・ Two-up ・ Two-up two-down ・ Two-variable logic ・ Two-vector ・ Two-way ・ Two-way alternating ・ Two-way analysis of variance ・ Two-way communication ・ Two-way contract ・ Two-way deterministic finite automaton ・ Two-way forward ・ Two-way indicator species analysis ・ Two-way radio ・ Two-way satellite time and frequency transfer ・ Two-way security ・ Two-way simultaneous ・ Two-way street ・ Two-Way Stretch 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 Two-vector ： ウィキペディア英語版 Two-vector A two-vector is a tensor of type (2,0) and it is the dual of a two-form, meaning that it is a linear functional which maps two-forms to the real numbers (or more generally, to scalars). The tensor product of a pair of vectors is a two-vector. Then, any two-form can be expressed as a linear combination of tensor products of pairs of vectors, especially a linear combination of tensor products of pairs of basis vectors. If f is a two-vector, then :$\backslash mathbf\; =\; f^\; \backslash ,\; \backslash vec\; e\_\backslash alpha\; \backslash otimes\; \backslash vec\; e\_\backslash beta$ where the ''f α β'' are the components of the two-vector. Notice that both indices of the components are contravariant. This is always the case for two-vectors, by definition. An example of a two-vector is the inverse ''gμ ν'' of the metric tensor. The components of a two-vector may be represented in a matrix-like array. However, a two-vector, as a tensor, should not be confused with a matrix, since a matrix is a linear function :$M\; :\; V\; \backslash rightarrow\; V$ which maps vectors to vectors, whereas a two-vector is a linear functional :$\backslash mathbf\; :\; \backslash tilde\; \backslash rightarrow\; V$ which maps one-forms to vectors. In this sense, a matrix, considered as a tensor, is a mixed tensor of type (1,1) even though of the same rank as a two-vector. 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「Two-vector」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.