翻訳と辞書
Words near each other
・ Time Crash (band)
・ Time Crashers
・ Time Crisis
・ Time Crisis (series)
・ Time Crisis 3
・ Time Crisis 4
・ Time Crisis II
・ Time Cube
・ Time cycles
・ Time Dance
・ Time delay and integration
・ Time delay neural network
・ Time delay toxin activation
・ Time dependent vector field
・ Time deposit
Time derivative
・ Time Detectives
・ Time deviation
・ Time dilation
・ Time dilation of moving particles
・ Time discipline
・ Time displacement
・ Time diversity
・ Time division multiple access
・ Time Does Not Heal
・ Time Doesn't Heal
・ Time Doesn't Notice
・ Time domain
・ Time domain astronomy
・ Time domain electromagnetics


Dictionary Lists
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\,.
==Notation==
A variety of notations are used to denote the time derivative. In addition to the normal (Leibniz's) notation,
:\frac
A very common short-hand notation used, especially in physics, is the 'over-dot'. I.E.
:\dot
(This is called Newton's notation)
Higher time derivatives are also used: the second derivative with respect to time is written as
:\frac
with the corresponding shorthand of \ddot.
As a generalization, the time derivative of a vector, say:
: \vec V = \left(v_1,\ v_2,\ v_3, \cdots \right ) \ ,
is defined as the vector whose components are the derivatives of the components of the original vector. That is,
: \frac = \left(\frac,\frac ,\frac , \cdots \right ) \ .

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.