“Curl Theorem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Curl Theorem

释义

Curl Theorem

A special case of Stokes' Theorem in which is a Vector Field and is an oriented, compact embedded2-Manifold with boundary in , given by

(1)

There are also alternate forms. If

(2)

then

(3)

and if

(4)

then

(5)

See also Change of Variables Theorem, Curl, Stokes' Theorem

References

Arfken, G. ``Stokes's Theorem.'' §1.12 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 61-64, 1985.

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