翻訳と辞書 Words near each other ・ Isotrias cuencana ・ Isotrias huemeri ・ Isotrias hybridana ・ Isotrias joannisana ・ Isotrias martelliana ・ Isotrias penedana ・ Isotrias rectifasciana ・ Isotrias stramentana ・ Isotricha intestinalis ・ Isotrilophus ・ Isotron ・ Isotropic bands ・ Isotropic coordinates ・ Isotropic etching ・ Isotropic formulations ・ Isotropic line ・ Isotropic manifold ・ Isotropic quadratic form ・ Isotropic radiation ・ Isotropic radiator ・ Isotropic solid ・ Isotropis ・ Isotropy ・ Isotta Brothers ・ Isotta degli Atti ・ Isotta Fraschini ・ Isotta Fraschini Asso XI ・ Isotta Fraschini D65 ・ Isotta Fraschini D80 ・ Isotta Fraschini Delta 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 Isotropic line ： ウィキペディア英語版 Isotropic line In the geometry of quadratic forms, an isotropic line or null line is a line for which the quadratic form applied to the displacement vector between any pair of its points is zero. An isotropic line occurs only with an isotropic quadratic form, and never with a definite quadratic form. In the complex projective plane, points are represented by homogeneous coordinates $(x\_1,\; x\_2,\; x\_3)$ and lines by homogeneous coordinates $(a\_1,\; a\_2,\; a\_3)$. An isotropic line in the complex projective plane satisfies the equation:〔C. E. Springer (1964) ''Geometry and Analysis of Projective Spaces'', page 141, W. H. Freeman and Company〕 :$a\_3(x\_2\; \backslash pm\; i\; x\_1)\; =\; (a\_2\; \backslash pm\; i\; a\_1)\; x\_2\; .$ In terms of the affine subspace x3 = 1, an isotropic line through the origin is :$x\_2\; =\; \backslash pm\; i\; x\_1\; .$ Attempts to compute the distance between two points on an isotropic line result in zero. In projective geometry, the isotropic lines are the ones passing through the circular points at infinity. In geology, isotropic lines "separate mutually orthogonal principle trajectories on each side. In a plane-strain field, the strain is zero at isotropic points and lines, and they can be termed neutral points and neutral lines."〔Jean-Pierre Brun (1983) "Isotropic points and lines in strain fields", Journal of Structural Geology 5(3):321–7〕 ==See also== * Light cone * Null 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「Isotropic line」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.