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chun fuk asked in 科學及數學數學 · 1 decade ago

Stokes's theorem一問

wiki寫:

The integral of the curl of a vector field over a surface equals the line integral of the vector field over the curve bounding the surface.

我想問the curve bounding the surface係指什麼?

如果係一條(曲)線,線又點bound the surface?

如果唔係線,又點line integral?

請賜教!

Update:

如果一個surface無底呢?

如:x^2+y^2+z^2=1

仲有,個底係唔係一定要平?

還是它的意思是投影?

Update 2:

感謝maximal_ideal_space 的意見,

還有的問題是:個底係唔係一定要平?

一個斜的底可否接受?如x+y-z=0

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