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单词 Green's Theorem
释义

Green's Theorem

Green's theorem is a vector identity which is equivalent to the Curl Theorem in the Plane. Over a region in theplane with boundary ,





If the region is on the left when traveling around , then Area of can be computed using


See also Curl Theorem, Divergence Theorem


References

Arfken, G. ``Gauss's Theorem.'' §1.11 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 57-61, 1985.


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