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• Divergence_theorem abstract "In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, is a result that relates the flow (that is, flux) of a vector field through a surface to the behavior of the vector field inside the surface.More precisely, the divergence theorem states that the outward flux of a vector field through a closed surface is equal to the volume integral of the divergence over the region inside the surface. Intuitively, it states that the sum of all sources minus the sum of all sinks gives the net flow out of a region.The divergence theorem is an important result for the mathematics of engineering, in particular in electrostatics and fluid dynamics.In physics and engineering, the divergence theorem is usually applied in three dimensions. However, it generalizes to any number of dimensions. In one dimension, it is equivalent to the fundamental theorem of calculus. In two dimensions, it is equivalent to Green's theorem.The theorem is a special case of the more general Stokes' theorem.".
• Divergence_theorem thumbnail Divergence_theorem.svg?width=300.
• Divergence_theorem wikiPageExternalLink TheDivergenceGaussTheorem.
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• Divergence_theorem wikiPageExternalLink kmath330.htm.
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• Divergence_theorem wikiPageWikiLink Carl_Friedrich_Gauss.
• Divergence_theorem wikiPageWikiLink Category:Theorems_in_calculus.
• Divergence_theorem wikiPageWikiLink Compact_space.
• Divergence_theorem wikiPageWikiLink Conservation_law.
• Divergence_theorem wikiPageWikiLink Continuity_equation.
• Divergence_theorem wikiPageWikiLink Coulombs_law.
• Divergence_theorem wikiPageWikiLink Differential_geometry_of_surfaces.
• Divergence_theorem wikiPageWikiLink Divergence.
• Divergence_theorem wikiPageWikiLink Einstein_notation.
• Divergence_theorem wikiPageWikiLink Electromagnetism.
• Divergence_theorem wikiPageWikiLink Electrostatics.
• Divergence_theorem wikiPageWikiLink Engineering.
• Divergence_theorem wikiPageWikiLink Fluid_dynamics.
• Divergence_theorem wikiPageWikiLink Flux.
• Divergence_theorem wikiPageWikiLink Fundamental_theorem_of_calculus.
• Divergence_theorem wikiPageWikiLink GNU_Free_Documentation_License.
• Divergence_theorem wikiPageWikiLink Gausss_law.
• Divergence_theorem wikiPageWikiLink Gausss_law_for_gravity.
• Divergence_theorem wikiPageWikiLink Gausss_law_for_magnetism.
• Divergence_theorem wikiPageWikiLink General_relativity.
• Divergence_theorem wikiPageWikiLink George_Green_(mathematician).
• Divergence_theorem wikiPageWikiLink Greens_identities.
• Divergence_theorem wikiPageWikiLink Greens_theorem.
• Divergence_theorem wikiPageWikiLink Inverse-square_law.
• Divergence_theorem wikiPageWikiLink Joseph-Louis_Lagrange.
• Divergence_theorem wikiPageWikiLink Kelvin–Stokes_theorem.
• Divergence_theorem wikiPageWikiLink Mikhail_Ostrogradsky.
• Divergence_theorem wikiPageWikiLink Newtons_law_of_universal_gravitation.
• Divergence_theorem wikiPageWikiLink Normal_(geometry).
• Divergence_theorem wikiPageWikiLink Piecewise.
• Divergence_theorem wikiPageWikiLink PlanetMath.
• Divergence_theorem wikiPageWikiLink Quantum_mechanics.
• Divergence_theorem wikiPageWikiLink Spacetime.
• Divergence_theorem wikiPageWikiLink Stokes_theorem.
• Divergence_theorem wikiPageWikiLink Surface.
• Divergence_theorem wikiPageWikiLink Surface_integral.
• Divergence_theorem wikiPageWikiLink Tensor_contraction.
• Divergence_theorem wikiPageWikiLink Theorem.
• Divergence_theorem wikiPageWikiLink Theory_of_relativity.
• Divergence_theorem wikiPageWikiLink Unit_sphere.
• Divergence_theorem wikiPageWikiLink Vector_calculus.
• Divergence_theorem wikiPageWikiLink Vector_calculus_identities.
• Divergence_theorem wikiPageWikiLink Vector_field.
• Divergence_theorem wikiPageWikiLink Volume.
• Divergence_theorem wikiPageWikiLink Volume_integral.
• Divergence_theorem wikiPageWikiLink Wolfram_Demonstrations_Project.
• Divergence_theorem wikiPageWikiLink File:Divergence_theorem.svg.
• Divergence_theorem wikiPageWikiLink File:SurfacesWithAndWithoutBoundary.svg.
• Divergence_theorem wikiPageWikiLink File:Vector_Field_on_a_Sphere.png.
• Divergence_theorem wikiPageWikiLinkText "Divergence theorem".
• Divergence_theorem wikiPageWikiLinkText "Gauss's divergence theorem".
• Divergence_theorem wikiPageWikiLinkText "Gauss's theorem".
• Divergence_theorem wikiPageWikiLinkText "Ostrogradsky–Gauss theorem".
• Divergence_theorem wikiPageWikiLinkText "divergence theorem".
• Divergence_theorem wikiPageWikiLinkText "n-dimensional divergence theorem".
• Divergence_theorem wikiPageWikiLinkText "proved".
• Divergence_theorem wikiPageWikiLinkText "surface term".
• Divergence_theorem id "p/o070600".
• Divergence_theorem title "Divergence Theorem".
• Divergence_theorem title "Ostrogradski formula".
• Divergence_theorem urlname "DivergenceTheorem".
• Divergence_theorem wikiPageUsesTemplate Template:=.
• Divergence_theorem wikiPageUsesTemplate Template:Calculus.
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• Divergence_theorem wikiPageUsesTemplate Template:Math.
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• Divergence_theorem wikiPageUsesTemplate Template:Sfrac.
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• Divergence_theorem subject Category:Theorems_in_calculus.
• Divergence_theorem hypernym Result.
• Divergence_theorem type Redirect.
• Divergence_theorem type Theorem.
• Divergence_theorem comment "In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, is a result that relates the flow (that is, flux) of a vector field through a surface to the behavior of the vector field inside the surface.More precisely, the divergence theorem states that the outward flux of a vector field through a closed surface is equal to the volume integral of the divergence over the region inside the surface.".
• Divergence_theorem label "Divergence theorem".
• Divergence_theorem sameAs Q338886.
• Divergence_theorem sameAs Teorema_de_Gauss.
• Divergence_theorem sameAs Теорема_на_Гаус-Остроградски.
• Divergence_theorem sameAs Teorema_de_la_divergència.
• Divergence_theorem sameAs Gaussova_věta.
• Divergence_theorem sameAs Gaußscher_Integralsatz.
• Divergence_theorem sameAs Diverĝenca_teoremo.
• Divergence_theorem sameAs Teorema_de_la_divergencia.
• Divergence_theorem sameAs قضیه_دیورژانس.
• Divergence_theorem sameAs Gaussin_divergenssilause.
• Divergence_theorem sameAs Théorème_de_flux-divergence.
• Divergence_theorem sameAs משפט_גאוס.
• Divergence_theorem sameAs Gauss–Osztrogradszkij-tétel.

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