翻訳と辞書 Words near each other ・ Skeuophoros ・ Skeuophylax ・ Skevikare ・ Skevos Zervos ・ Skew ・ Skew (antenna) ・ Skew (fax) ・ Skew and direct sums of permutations ・ Skew apeirogon ・ Skew apeirohedron ・ Skew arch ・ Skew Arch Bridge (Reading, Pennsylvania) ・ Skew binary number system ・ Skew binomial heap ・ Skew Bridge Commonwealth War Graves Commission Cemetery ・ Skew coordinates ・ Skew deviation ・ Skew flip turnover ・ Skew gradient ・ Skew heap ・ Skew It on the Bar-B ・ Skew lattice ・ Skew lines ・ Skew normal distribution ・ Skew partition ・ Skew Peak ・ Skew polygon ・ Skew Siskin ・ Skew Siskin (album) ・ Skew-Hamiltonian matrix 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 Skew coordinates ： ウィキペディア英語版 Skew coordinates A system of skew coordinates is a curvilinear〔()〕 coordinate system where the coordinate surfaces are not orthogonal,〔(Skew Coordinate System ) at Mathworld〕 in contrast to orthogonal coordinates. Skew coordinates tend to be more complicated to work with compared to orthogonal coordinates since the metric tensor will have nonzero off-diagonal components, preventing many drastic simplifications in formulas for tensor algebra and tensor calculus. The nonzero off-diagonal components of the metric tensor are a direct result of the non-orthogonality of the basis vectors of the coordinates, since by definition:〔 〕 :$g\_\; =\; \backslash mathbf\; e\_i\; \backslash cdot\; \backslash mathbf\; e\_j$ where $g\_$ is the metric tensor and $\backslash mathbf\; e\_i$ the (covariant) basis vectors. These coordinate systems can be useful if the geometry of a problem fits well into a skewed system. For example, solving Laplace's equation in a parallelogram will be easiest when done in appropriately skewed coordinates. ==Cartesian coordinates with one skewed axis== The simplest 3D case of a skew coordinate system is a Cartesian one where one of the axes (say the ''x'' axis) has been bent by some angle $\backslash phi$, staying orthogonal to one of the remaining two axes. For this example, the ''x'' axis of a Cartesian coordinate has been bent toward the ''z'' axis by $\backslash phi$, remaining orthogonal to the ''y'' axis. 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「Skew coordinates」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.