Dictionary:Divergence theorem

{{#category_index:D|divergence theorem}} The flux $\phi$ through a surface (or the integral of the vector flux density g over a closed surface) equals the divergence of the flux density integrated over the volume contained by the surface:

$\phi =\iint {\textbf {g}}\cdot d{\textbf {s}}=\iiint \nabla \cdot {\textbf {g}}\;dxdydz$.

Commonly called Gauss's theorem.