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Just a couple quick conceptual questions about Stokes' Theorem (maybe this belongs in the non-homework math forum?). Does Stokes' theorem say anything about circulation in a field for which the curl is zero? I would think that all it says is that there is no net circulation. Also, if

[tex]\iint_S \nabla \times \mathbf{F} \cdot \mathbf{n} d\sigma[/tex]

?

**F**is a differentiable vector field defined in a region containing a smooth closed surface*S*, where*S*is the union of two surfaces*S1*and*S2*, what can be said about[tex]\iint_S \nabla \times \mathbf{F} \cdot \mathbf{n} d\sigma[/tex]

?

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