“Surface Integral”的概念、定义、习题解题方法及翻译-数学辞典

单词

Surface Integral

释义

Surface Integral

For a Scalar Function over a surface parameterized by and , the surface integral is given by

(1)

where

and

are tangent vectors and

is the Cross Product.

For a Vector Function over a surface, the surface integral is given by

			(2)
			(3)

where

is a Dot Product and

is a unit Normal Vector. If

, then

is given explicitly by

(4)

If the surface is Surface Parameterized using

and

, then

(5)

See also Surface Parameterization

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