Gauss' theorem

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Gauss' theorem [′gau̇s ‚thir·əm]

(mathematics)

The assertion, under certain light restrictions, that the volume integral through a volumeVof the divergence of a vector function is equal to the surface integral of the exterior normal component of the vector function over the boundary surface ofV. Also known as divergence theorem; Green's theorem in space; Ostrogradski's theorem.

At a point on a surface the product of the principal curvatures is an invariant of the surface, called the Gaussian curvature.

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No references found			Applying Gauss' theorem leads to the following integrated conservation equation: [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (23) In general, this equation cannot be solved analytically and a numerical solution will require that we need to transform it into an algebraic equation. Applying the finite--volume method for solving the ... by Garrouch, A.A.; Al-Dousari, M.M. / International Journal of Petroleum Science and Technology			Gaumata Gaunt, John of Gaur Gaurdak Gauri Sankar Gause's principle Gauss Gauss A position Gauss B position Gauss eyepiece Gauss formulas Gauss image point Gauss lens system Gauss method of weighing Gauss objective lens Gauss point Gauss positions Gauss test Gauss Theorem Gauss' error curve Gauss' hypergeometric equation Gauss' law of flux Gauss' law of the arithmetic mean Gauss' mean value theorem Gauss' principle of least constraint Gauss' theorem Gauss, Carl Friedrich Gauss, Karl Friedrich Gauss-Bonnet theorem Gauss-Codazzi equations Gauss-Jordan elimination Gauss-Legendre rule Gauss-Seidel method Gaussian beam Gaussian blur Gaussian complex integers Gaussian Constant Gaussian curvature Gaussian curve Gaussian distribution Gaussian elimination Gaussian error Gaussian Formulas Gaussian integer Gaussian noise Gaussian noise generator Gaussian optics Gaussian pulse Gaussian reduction Gaussian representation Gaussian system			Gauss eyepiece Gauss formulas Gauss hypergeometric function Gauss image point Gauss Jordan Elimination Gauss lens system Gauss method of weighing Gauss Mixture Vector Quantization Gauss objective lens Gauss Plane Gauss Plane Gauss point Gauss positions Gauss prime Gauss Probability Method Gauss seidel Gauss test Gauss theorem Gauss' divergence theorem Gauss' error curve Gauss' hypergeometric equation Gauss' law of flux Gauss' law of the arithmetic mean Gauss' mean value theorem Gauss' principle of least constraint Gauss' theorem Gauss's digamma theorem Gauss's logarithms Gauss's theorem Gauss, Carl Friedrich Gauss, Carl Friedrich Gauss, Karl Friedrich Gauss, Karl Friedrich Gauss, Karl Friedrich Gauss-Bolyai-Lobachevsky space Gauss-Bolyai-Lobachevsky space Gauss-Bonnet theorem Gauss-Chebyshev Quadrature Gauss-Codazzi equations Gauss-Codazzi-Mainardi equations Gauss-Johnson Gauss-Jordan elimination Gauss-Jordan Elimination Algorithm Gauss-Kuzmin-Wirsing Gauss-Legendre Quadrature Gauss-Legendre rule Gauss-Markov Fading Model Gauss-Markov Fading Process Gauss-Markov Mobility Model Gauss-Markov Random Process Gauss-Newton algorithm Gauss-Seidel Gauss-Seidel method Gaussage

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