divergence theorem
properNoun
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- (calculus) 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 \iint_S \mathbf{F} \cdot \mathbf{n} \, dS = \iiint_{W} \nabla \cdot \mathbf{F} \, dV .
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théorème de Gauss,
théorème de flux-divergence,
théorème de la divergence
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