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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク time derivative ： ウィキペディア英語版 time derivative A time derivative is a derivative of a function with respect to time, usually interpreted as the rate of change of the value of the function.〔Chiang, Alpha C., ''Fundamental Methods of Mathematical Economics'', McGraw-Hill, third edition, 1984, ch. 14, 15, 18.〕 The variable denoting time is usually written as $t\backslash ,$. ==Notation== A variety of notations are used to denote the time derivative. In addition to the normal (Leibniz's) notation, :$\backslash frac$ A very common short-hand notation used, especially in physics, is the 'over-dot'. I.E. :$\backslash dot$ (This is called Newton's notation) Higher time derivatives are also used: the second derivative with respect to time is written as :$\backslash frac$ with the corresponding shorthand of $\backslash ddot$. As a generalization, the time derivative of a vector, say: :$\backslash vec\; V\; =\; \backslash left(v\_1,\backslash \; v\_2,\backslash \; v\_3,\; \backslash cdots\; \backslash right)\; \backslash \; ,$ is defined as the vector whose components are the derivatives of the components of the original vector. That is, :$\backslash frac\; =\; \backslash left(\backslash frac,\backslash frac\; ,\backslash frac\; ,\; \backslash cdots\; \backslash right)\; \backslash \; .$ 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「time derivative」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.