divergence theorem in Portuguese
divergence theorem in Portuguese
teorema da divergência
(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 .
teorema de Gauss
(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 .
teorema do divergente
(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 .