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- Current_(mathematics) abstract "In mathematics, more particularly in functional analysis, differential topology, and geometric measure theory, a k-current in the sense of Georges de Rham is a functional on the space of compactly supported differential k-forms, on a smooth manifold M. Formally currents behave like Schwartz distributions on a space of differential forms. In a geometric setting, they can represent integration over a submanifold, generalizing the Dirac delta function, or more generally even directional derivatives of delta functions (multipoles) spread out along subsets of M.".
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- Current_(mathematics) wikiPageRevisionID "676051066".
- Current_(mathematics) wikiPageWikiLink Boundary_(topology).
- Current_(mathematics) wikiPageWikiLink Boundary_operator.
- Current_(mathematics) wikiPageWikiLink Category:Differential_topology.
- Current_(mathematics) wikiPageWikiLink Category:Generalized_manifolds.
- Current_(mathematics) wikiPageWikiLink Chain_complex.
- Current_(mathematics) wikiPageWikiLink Compact_support.
- Current_(mathematics) wikiPageWikiLink Compactly_supported.
- Current_(mathematics) wikiPageWikiLink Continuous_function.
- Current_(mathematics) wikiPageWikiLink Differentiable_manifold.
- Current_(mathematics) wikiPageWikiLink Differential_form.
- Current_(mathematics) wikiPageWikiLink Differential_geometry.
- Current_(mathematics) wikiPageWikiLink Differential_topology.
- Current_(mathematics) wikiPageWikiLink Dirac_delta_function.
- Current_(mathematics) wikiPageWikiLink Directional_derivative.
- Current_(mathematics) wikiPageWikiLink Distribution_(mathematics).
- Current_(mathematics) wikiPageWikiLink Eilenberg–Steenrod_axioms.
- Current_(mathematics) wikiPageWikiLink Exterior_derivative.
- Current_(mathematics) wikiPageWikiLink Functional_analysis.
- Current_(mathematics) wikiPageWikiLink Geometric_measure_theory.
- Current_(mathematics) wikiPageWikiLink Georges_de_Rham.
- Current_(mathematics) wikiPageWikiLink Herbert_Federer.
- Current_(mathematics) wikiPageWikiLink Homological_integration.
- Current_(mathematics) wikiPageWikiLink Homology_(mathematics).
- Current_(mathematics) wikiPageWikiLink Integral.
- Current_(mathematics) wikiPageWikiLink Limit_point.
- Current_(mathematics) wikiPageWikiLink Linear_form.
- Current_(mathematics) wikiPageWikiLink Linear_functional.
- Current_(mathematics) wikiPageWikiLink Linear_subspace.
- Current_(mathematics) wikiPageWikiLink Manifold.
- Current_(mathematics) wikiPageWikiLink Manifold_with_boundary.
- Current_(mathematics) wikiPageWikiLink Mathematics.
- Current_(mathematics) wikiPageWikiLink Measure_(mathematics).
- Current_(mathematics) wikiPageWikiLink Multipole.
- Current_(mathematics) wikiPageWikiLink Multipole_expansion.
- Current_(mathematics) wikiPageWikiLink Norm_(mathematics).
- Current_(mathematics) wikiPageWikiLink Open_set.
- Current_(mathematics) wikiPageWikiLink Orientation_(mathematics).
- Current_(mathematics) wikiPageWikiLink Orientation_(vector_space).
- Current_(mathematics) wikiPageWikiLink Oxford_University_Press.
- Current_(mathematics) wikiPageWikiLink Princeton_University_Press.
- Current_(mathematics) wikiPageWikiLink Real_number.
- Current_(mathematics) wikiPageWikiLink Rectifiable_set.
- Current_(mathematics) wikiPageWikiLink Regular_measure.
- Current_(mathematics) wikiPageWikiLink Riesz_representation_theorem.
- Current_(mathematics) wikiPageWikiLink Schwartz_distribution.
- Current_(mathematics) wikiPageWikiLink Sequence.
- Current_(mathematics) wikiPageWikiLink Signed_measure.
- Current_(mathematics) wikiPageWikiLink Smooth_manifold.
- Current_(mathematics) wikiPageWikiLink Springer-Verlag.
- Current_(mathematics) wikiPageWikiLink Springer_Science+Business_Media.
- Current_(mathematics) wikiPageWikiLink Stokes_theorem.
- Current_(mathematics) wikiPageWikiLink Support_(mathematics).
- Current_(mathematics) wikiPageWikiLink Tensor_(intrinsic_definition).
- Current_(mathematics) wikiPageWikiLink Tensor_rank.
- Current_(mathematics) wikiPageWikiLink Varifold.
- Current_(mathematics) wikiPageWikiLink Vector_space.
- Current_(mathematics) wikiPageWikiLink Weak-*_topology.
- Current_(mathematics) wikiPageWikiLink Weak_topology.
- Current_(mathematics) wikiPageWikiLinkText "Current (mathematics)".
- Current_(mathematics) wikiPageWikiLinkText "Current (mathematics)#Topology".
- Current_(mathematics) wikiPageWikiLinkText "Current".
- Current_(mathematics) wikiPageWikiLinkText "current (mathematics)".
- Current_(mathematics) wikiPageWikiLinkText "current".
- Current_(mathematics) wikiPageWikiLinkText "currents".
- Current_(mathematics) wikiPageWikiLinkText "rectifiable current".
- Current_(mathematics) hasPhotoCollection Current_(mathematics).
- Current_(mathematics) id "5980".
- Current_(mathematics) title "Current".
- Current_(mathematics) wikiPageUsesTemplate Template:Citation.
- Current_(mathematics) wikiPageUsesTemplate Template:PlanetMath_attribution.
- Current_(mathematics) subject Category:Differential_topology.
- Current_(mathematics) subject Category:Generalized_manifolds.
- Current_(mathematics) comment "In mathematics, more particularly in functional analysis, differential topology, and geometric measure theory, a k-current in the sense of Georges de Rham is a functional on the space of compactly supported differential k-forms, on a smooth manifold M. Formally currents behave like Schwartz distributions on a space of differential forms.".
- Current_(mathematics) label "Current (mathematics)".
- Current_(mathematics) sameAs Courant_(mathématiques).
- Current_(mathematics) sameAs カレント_(数学).
- Current_(mathematics) sameAs m.08l1ff.
- Current_(mathematics) sameAs Q3001145.
- Current_(mathematics) sameAs Q3001145.
- Current_(mathematics) wasDerivedFrom Current_(mathematics)?oldid=676051066.
- Current_(mathematics) isPrimaryTopicOf Current_(mathematics).