- #1

joshmccraney

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## Main Question or Discussion Point

i am not sure if this post should be under calculus or not, but i think i'll get a more "complete" answer here. at any rate, i'm wondering if anyone can clarify the intuition behind the gradient theorem: [tex]\iiint\limits_V \nabla \psi dV=\iint\limits_S \psi \vec{dS}[/tex] by intuition, i refer to a physical interpretation. for instance, i understand the divergence theorem states (rate of expansion of a vector field) = (rate the vector field leaks out of the edges). but this extended gradient theorem is more difficult. please help! i doubt i need to clarify this notation, but please let me know if i've been ambiguous.

thanks!

thanks!