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Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Closed_and_exact_differential_forms> ?p ?o }

• Closed_and_exact_differential_forms abstract "In mathematics, especially vector calculus and differential topology, a closed form is a differential form α whose exterior derivative is zero (dα = 0), and an exact form is a differential form that is the exterior derivative of another differential form β. Thus, an exact form is in the image of d, and a closed form is in the kernel of d.For an exact form α, α = dβ for some differential form β of one-lesser degree than α. The form β is called a "potential form" or "primitive" for α. Since d2 = 0, β is not unique, but can be modified by the addition of the differential of a two-step-lower-order form.Because d2 = 0, any exact form is automatically closed. The question of whether every closed form is exact depends on the topology of the domain of interest. On a contractible domain, every closed form is exact by the Poincaré lemma. More general questions of this kind on an arbitrary differentiable manifold are the subject of de Rham cohomology, that allows one to obtain purely topological information using differential methods.".
• Closed_and_exact_differential_forms thumbnail Irrotationalfield.svg?width=300.
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• Closed_and_exact_differential_forms wikiPageWikiLink Algebraic_topology.
• Closed_and_exact_differential_forms wikiPageWikiLink Argument_(complex_analysis).
• Closed_and_exact_differential_forms wikiPageWikiLink Category:Differential_forms.
• Closed_and_exact_differential_forms wikiPageWikiLink Category:Lemmas.
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• Closed_and_exact_differential_forms wikiPageWikiLink Closed_and_exact_differential_forms.
• Closed_and_exact_differential_forms wikiPageWikiLink Cohomology.
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• Closed_and_exact_differential_forms wikiPageWikiLink De_Rham_cohomology.
• Closed_and_exact_differential_forms wikiPageWikiLink Differentiable_manifold.
• Closed_and_exact_differential_forms wikiPageWikiLink Differential_form.
• Closed_and_exact_differential_forms wikiPageWikiLink Differential_topology.
• Closed_and_exact_differential_forms wikiPageWikiLink Divergence.
• Closed_and_exact_differential_forms wikiPageWikiLink Dover_Publications.
• Closed_and_exact_differential_forms wikiPageWikiLink Exterior_derivative.
• Closed_and_exact_differential_forms wikiPageWikiLink Glossary_of_topology.
• Closed_and_exact_differential_forms wikiPageWikiLink Gradient.
• Closed_and_exact_differential_forms wikiPageWikiLink Gradient_theorem.
• Closed_and_exact_differential_forms wikiPageWikiLink Homotopy.
• Closed_and_exact_differential_forms wikiPageWikiLink Homotopy_category_of_chain_complexes.
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• Closed_and_exact_differential_forms wikiPageWikiLink Kernel_(algebra).
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• Closed_and_exact_differential_forms wikiPageWikiLink Magnetic_monopole.
• Closed_and_exact_differential_forms wikiPageWikiLink Mathematical_physics.
• Closed_and_exact_differential_forms wikiPageWikiLink Mathematics.
• Closed_and_exact_differential_forms wikiPageWikiLink Maxwell_equations.
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• Closed_and_exact_differential_forms wikiPageWikiLink Poincaré_group.
• Closed_and_exact_differential_forms wikiPageWikiLink Potential_function.
• Closed_and_exact_differential_forms wikiPageWikiLink Pseudo-Riemannian_manifold.
• Closed_and_exact_differential_forms wikiPageWikiLink Punctured_plane.
• Closed_and_exact_differential_forms wikiPageWikiLink Relativistic_invariance.
• Closed_and_exact_differential_forms wikiPageWikiLink Riemannian_manifold.
• Closed_and_exact_differential_forms wikiPageWikiLink Scalar_potential.
• Closed_and_exact_differential_forms wikiPageWikiLink Solenoidal_vector_field.
• Closed_and_exact_differential_forms wikiPageWikiLink Symmetry_of_second_derivatives.
• Closed_and_exact_differential_forms wikiPageWikiLink Topology.
• Closed_and_exact_differential_forms wikiPageWikiLink Vector_calculus.
• Closed_and_exact_differential_forms wikiPageWikiLink Vector_potential.
• Closed_and_exact_differential_forms wikiPageWikiLink Winding_number.
• Closed_and_exact_differential_forms wikiPageWikiLink File:Irrotationalfield.svg.
• Closed_and_exact_differential_forms wikiPageWikiLinkText "Closed and exact differential forms".
• Closed_and_exact_differential_forms wikiPageWikiLinkText "Exact differential form".
• Closed_and_exact_differential_forms wikiPageWikiLinkText "Poincaré lemma".
• Closed_and_exact_differential_forms wikiPageWikiLinkText "Poincaré's lemma".
• Closed_and_exact_differential_forms wikiPageWikiLinkText "closed 1-form".
• Closed_and_exact_differential_forms wikiPageWikiLinkText "closed and exact differential forms".
• Closed_and_exact_differential_forms wikiPageWikiLinkText "closed and exact differential forms#Poincaré lemma".
• Closed_and_exact_differential_forms wikiPageWikiLinkText "closed form".
• Closed_and_exact_differential_forms wikiPageWikiLinkText "closed one-form".
• Closed_and_exact_differential_forms wikiPageWikiLinkText "closed".
• Closed_and_exact_differential_forms wikiPageWikiLinkText "exact".
• Closed_and_exact_differential_forms hasPhotoCollection Closed_and_exact_differential_forms.
• Closed_and_exact_differential_forms wikiPageUsesTemplate Template:Citation.
• Closed_and_exact_differential_forms wikiPageUsesTemplate Template:Details.
• Closed_and_exact_differential_forms subject Category:Differential_forms.
• Closed_and_exact_differential_forms subject Category:Lemmas.
• Closed_and_exact_differential_forms hypernym u0391.
• Closed_and_exact_differential_forms type Drug.
• Closed_and_exact_differential_forms type Lemma.
• Closed_and_exact_differential_forms type Tensor.
• Closed_and_exact_differential_forms type Theorem.
• Closed_and_exact_differential_forms comment "In mathematics, especially vector calculus and differential topology, a closed form is a differential form α whose exterior derivative is zero (dα = 0), and an exact form is a differential form that is the exterior derivative of another differential form β. Thus, an exact form is in the image of d, and a closed form is in the kernel of d.For an exact form α, α = dβ for some differential form β of one-lesser degree than α. The form β is called a "potential form" or "primitive" for α.".
• Closed_and_exact_differential_forms label "Closed and exact differential forms".
• Closed_and_exact_differential_forms sameAs Formes_diferencials_tancades_i_exactes.
• Closed_and_exact_differential_forms sameAs Formas_diferenciales_cerradas_y_exactas.
• Closed_and_exact_differential_forms sameAs Forme_différentielle_fermée.
• Closed_and_exact_differential_forms sameAs m.0246nw.
• Closed_and_exact_differential_forms sameAs Sluten_differentialform.
• Closed_and_exact_differential_forms sameAs Q2100733.
• Closed_and_exact_differential_forms sameAs Q2100733.
• Closed_and_exact_differential_forms sameAs 闭形式和恰当形式.
• Closed_and_exact_differential_forms wasDerivedFrom Closed_and_exact_differential_forms?oldid=624992542.
• Closed_and_exact_differential_forms depiction Irrotationalfield.svg.
• Closed_and_exact_differential_forms isPrimaryTopicOf Closed_and_exact_differential_forms.