翻訳と辞書 Words near each other ・ Two-phase flow ・ Two-phase locking ・ Two-photon absorption ・ Two-photon circular dichroism ・ Two-photon excitation microscopy ・ Two-photon photoelectron spectroscopy ・ Two-photon photovoltaic effect ・ Two-photon physics ・ Two-piece ・ Two-Piece Reclining Figure No. 9 ・ Two-player game ・ Two-ply ・ Two-point conversion ・ Two-point discrimination ・ Two-point equidistant projection ・ Two-point tensor ・ Two-pore channel ・ Two-port network ・ Two-price advertising ・ Two-ray ground-reflection model ・ Two-round system ・ Two-seam fastball ・ Two-seater ・ Two-second rule ・ Two-section staff ・ Two-Seed-in-the-Spirit Predestinarian Baptists ・ Two-Shade ・ Two-Sided Fahrenheit ・ Two-sided Laplace transform ・ Two-sided market 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-point tensor ： ウィキペディア英語版 Two-point tensor Two-point tensors, or double vectors, are tensor-like quantities which transform as vectors with respect to each of their indices and are used in continuum mechanics to transform between reference ("material") and present ("configuration") coordinates.〔Humphrey, Jay D. Cardiovascular solid mechanics: cells, tissues, and organs. Springer Verlag, 2002.〕 Examples include the deformation gradient and the first Piola–Kirchhoff stress tensor. As with many applications of tensors, Einstein summation notation is frequently used. To clarify this notation, capital indices are often used to indicate reference coordinates and lowercase for present coordinates. Thus, a two-point tensor will have one capital and one lower-case index; for example, ''AjM''. ==Continuum mechanics== A conventional tensor can be viewed as a transformation of vectors in one coordinate system to other vectors in the same coordinate system. In contrast, a two-point tensor transforms vectors from one coordinate system to another. That is, a conventional tensor, : $\backslash mathbf\; =\; Q\_(\backslash mathbf\_p\backslash otimes\; \backslash mathbf\_q)$, actively transforms a vector u to a vector v such that :$\backslash mathbf=\backslash mathbf\backslash mathbf$ where v and u are measured in the same space and their coordinates representation is with respect to the same basis (denoted by the "''e''"). In contrast, a two-point tensor, G will be written as : $\backslash mathbf\; =\; G\_(\backslash mathbf\_p\backslash otimes\; \backslash mathbf\_q)$ and will transform a vector, U, in ''E'' system to a vector, v, in the e system as :$\backslash mathbf=\backslash mathbf$. 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-point tensor」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.