“Curl”的概念、定义、习题解题方法及翻译-数学辞典

单词

Curl

释义

Curl

The curl of a Tensor field is given by

(1)

where

is the Levi-Civita Tensor and ``;'' is the Covariant Derivative. For a VectorField, the curl is denoted

(2)

and

is normal to the Plane in which the ``circulation'' is Maximum. Its magnitude is thelimiting value of circulation per unit Area,

(3)

Let

(4)

and

(5)

then

Special cases of the curl formulas above can be given for Curvilinear Coordinates.

See also Curl Theorem, Divergence, Gradient, Vector Derivative

References

Arfken, G. ``Curl, .'' §1.8 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 42-47, 1985.

随便看

数学辞典收录了8975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。