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divergence theorem

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  1. A three-dimensional generalization of the fundamental theorem of calculus, which states…

    A three-dimensional generalization of the fundamental theorem of calculus, which states that given a solid region W bounded by a closed surface S oriented by a unit normal vector mathbf n, if a vector field mathbf F whose component functions have continuous first partial derivatives in W, then the flux of mathbf F through S is equal to the triple integral of the divergence of mathbf F over W, or ∬_S mathbf F· mathbf n,dS=∭_W∇· mathbf F,dV.

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sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA