请输入您要查询的字词:

 

单词 Jacobian
释义

Jacobian

(Jacobian determinant) For n functions fi in n variables xi, the Jacobian is the determinant of the Jacobian matrix. The absolute value of the Jacobian determinant is a measure of how much area or volume is being stretched or contracted locally. So, for small changes we have

For example, with the usual spherical polar coordinates r,θ,ϕ, the Jacobian determinant equals r2sinθ, showing that the same change in θ contributes to a larger element of volume near this equator (θ = π/2) compared to the north pole (θ = 0), but the longitude φ has no effect on the element of volume. See jacobian matrix.

随便看

 

数学辞典收录了4151条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/5/20 6:48:47