翻訳と辞書 Words near each other ・ Relaxin receptor ・ Relaxin' at Camarillo ・ Relaxin' with Chet ・ Relaxin' with the Miles Davis Quintet ・ Relaxin-3 ・ Relaxin/insulin-like family peptide receptor 1 ・ Relative pitch ・ Relative price ・ Relative pronoun ・ Relative purchasing power parity ・ Relative rate test ・ Relative Record Data Set ・ Relative return ・ Relative risk ・ Relative risk reduction ・ Relative scalar ・ Relative Silence ・ Relative species abundance ・ Relative Strangers ・ Relative strength ・ Relative strength index ・ Relative survival ・ Relative term ・ Relative thermal resistance ・ Relative transmission level ・ Relative utilitarianism ・ Relative validity ・ Relative valuation ・ Relative value ・ Relative value (economics) 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 scalar ： ウィキペディア英語版 Relative scalar In mathematics, a relative scalar (of weight ''w'') is a scalar-valued function whose transform under a coordinate transform, :$$ \bar^j = \bar^j(x^i) on an ''n''-dimensional manifold obeys the following equation :$$ \bar(\bar^j) = J^w f(x^i) where : $J\; =\; \backslash begin\; \backslash displaystyle\; \backslash frac^n)\}\; \backslash end\; ,$ that is, the determinant of the Jacobian of the transformation. A scalar density refers to the $w=1$ case. Relative scalars are an important special case of the more general concept of a relative tensor. ==Ordinary scalar== An ordinary scalar or absolute scalar refers to the $w=0$ case. If $x^i$ and $\backslash bar^j$ refer to the same point $P$ on the manifold, then we desire $\backslash bar(\backslash bar^j)\; =\; f(x^i)$. This equation can be interpreted two ways when $\backslash bar^j$ are viewed as the "new coordinates" and $x^i$ are viewed as the "original coordinates". The first is as $\backslash bar(\backslash bar^j)\; =\; f(x^i(\backslash bar^j))$, which "converts the function to the new coordinates". The second is as $f(x^i)=\backslash bar(\backslash bar^j(x^i))$, which "converts back to the original coordinates. Of course, "new" or "original" is a relative concept. There are many physical quantities that are represented by ordinary scalars, such as temperature and pressure. 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 scalar」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.