Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Conservative_vector_field> ?p ?o }
- Conservative_vector_field abstract "In vector calculus a conservative vector field is a vector field that is the gradient of some function, known in this context as a scalar potential. Conservative vector fields have the property that the line integral is path independent, i.e. the choice of integration path between any point and another does not change the result. Path independence of a line integral is equivalent to the vector field being conservative. A conservative vector field is also irrotational; in three dimensions this means that it has vanishing curl. An irrotational vector field is necessarily conservative provided that a certain condition on the geometry of the domain holds, i.e. the domain is simply connected.Conservative vector fields appear naturally in mechanics: they are vector fields representing forces of physical systems in which energy is conserved. For a conservative system, the work done in moving along a path in configuration space depends only on the endpoints of the path, so it is possible to define a potential energy independently of the path taken.".
- Conservative_vector_field thumbnail Pathdependence.png?width=300.
- Conservative_vector_field wikiPageID "461454".
- Conservative_vector_field wikiPageLength "13702".
- Conservative_vector_field wikiPageOutDegree "73".
- Conservative_vector_field wikiPageRevisionID "679369159".
- Conservative_vector_field wikiPageWikiLink Ascending_and_Descending.
- Conservative_vector_field wikiPageWikiLink Beltrami_vector_field.
- Conservative_vector_field wikiPageWikiLink Category:Force.
- Conservative_vector_field wikiPageWikiLink Category:Vector_calculus.
- Conservative_vector_field wikiPageWikiLink Chain_rule.
- Conservative_vector_field wikiPageWikiLink Circulation_(fluid_dynamics).
- Conservative_vector_field wikiPageWikiLink Closed_and_exact_differential_forms.
- Conservative_vector_field wikiPageWikiLink Cohomology.
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- Conservative_vector_field wikiPageWikiLink Complex_lamellar_vector_field.
- Conservative_vector_field wikiPageWikiLink Conservation_of_energy.
- Conservative_vector_field wikiPageWikiLink Conservative_force.
- Conservative_vector_field wikiPageWikiLink Curl_(mathematics).
- Conservative_vector_field wikiPageWikiLink De_Rham_cohomology.
- Conservative_vector_field wikiPageWikiLink Dipole.
- Conservative_vector_field wikiPageWikiLink Energy.
- Conservative_vector_field wikiPageWikiLink Exact_form.
- Conservative_vector_field wikiPageWikiLink Exterior_derivative.
- Conservative_vector_field wikiPageWikiLink File:Ascending_and_Descending.jpg.
- Conservative_vector_field wikiPageWikiLink File:Pathdependence.png.
- Conservative_vector_field wikiPageWikiLink Flow_velocity.
- Conservative_vector_field wikiPageWikiLink Force.
- Conservative_vector_field wikiPageWikiLink Function_(mathematics).
- Conservative_vector_field wikiPageWikiLink Fundamental_theorem_of_calculus.
- Conservative_vector_field wikiPageWikiLink Gradient.
- Conservative_vector_field wikiPageWikiLink Gradient_theorem.
- Conservative_vector_field wikiPageWikiLink Gravitational_constant.
- Conservative_vector_field wikiPageWikiLink Gravitational_energy.
- Conservative_vector_field wikiPageWikiLink Gravitational_force.
- Conservative_vector_field wikiPageWikiLink Gravitational_potential_energy.
- Conservative_vector_field wikiPageWikiLink Gravity.
- Conservative_vector_field wikiPageWikiLink Harmonic_function.
- Conservative_vector_field wikiPageWikiLink Helmholtz_decomposition.
- Conservative_vector_field wikiPageWikiLink Homology_(mathematics).
- Conservative_vector_field wikiPageWikiLink Homology_group.
- Conservative_vector_field wikiPageWikiLink Inviscid_flow.
- Conservative_vector_field wikiPageWikiLink Kelvins_circulation_theorem.
- Conservative_vector_field wikiPageWikiLink Laplace_equation_for_irrotational_flow.
- Conservative_vector_field wikiPageWikiLink Laplacian_vector_field.
- Conservative_vector_field wikiPageWikiLink Line_integral.
- Conservative_vector_field wikiPageWikiLink Longitudinal_and_transverse_vector_fields.
- Conservative_vector_field wikiPageWikiLink M._C._Escher.
- Conservative_vector_field wikiPageWikiLink Mechanics.
- Conservative_vector_field wikiPageWikiLink Newtons_law_of_universal_gravitation.
- Conservative_vector_field wikiPageWikiLink Open_set.
- Conservative_vector_field wikiPageWikiLink Phi.
- Conservative_vector_field wikiPageWikiLink Physical_system.
- Conservative_vector_field wikiPageWikiLink Polar_coordinate_system.
- Conservative_vector_field wikiPageWikiLink Polar_coordinates.
- Conservative_vector_field wikiPageWikiLink Potential.
- Conservative_vector_field wikiPageWikiLink Potential_energy.
- Conservative_vector_field wikiPageWikiLink Potential_field.
- Conservative_vector_field wikiPageWikiLink Scalar_field.
- Conservative_vector_field wikiPageWikiLink Scalar_potential.
- Conservative_vector_field wikiPageWikiLink Simply_connected.
- Conservative_vector_field wikiPageWikiLink Simply_connected_space.
- Conservative_vector_field wikiPageWikiLink Solenoidal_field.
- Conservative_vector_field wikiPageWikiLink Solenoidal_vector_field.
- Conservative_vector_field wikiPageWikiLink Stokes_theorem.
- Conservative_vector_field wikiPageWikiLink Vector_calculus.
- Conservative_vector_field wikiPageWikiLink Vector_calculus_identities.
- Conservative_vector_field wikiPageWikiLink Vector_field.
- Conservative_vector_field wikiPageWikiLink Vorticity.
- Conservative_vector_field wikiPageWikiLink Vorticity_equation.
- Conservative_vector_field wikiPageWikiLink Vorticity_transport_equation.
- Conservative_vector_field wikiPageWikiLink Work_(physics).
- Conservative_vector_field wikiPageWikiLink Work_done.
- Conservative_vector_field wikiPageWikiLink File:Conservative_fields.png.
- Conservative_vector_field wikiPageWikiLink File:Irrotationalfield.svg.
- Conservative_vector_field wikiPageWikiLinkText "Conservative vector field".
- Conservative_vector_field wikiPageWikiLinkText "Conservative vector field#Path independence".
- Conservative_vector_field wikiPageWikiLinkText "Conservative_vector_field#Irrotational_flows".
- Conservative_vector_field wikiPageWikiLinkText "conservative field".
- Conservative_vector_field wikiPageWikiLinkText "conservative vector field".
- Conservative_vector_field wikiPageWikiLinkText "conservative".
- Conservative_vector_field wikiPageWikiLinkText "gradient of a scalar function".
- Conservative_vector_field wikiPageWikiLinkText "irrotational flow".
- Conservative_vector_field wikiPageWikiLinkText "irrotational vector".
- Conservative_vector_field wikiPageWikiLinkText "irrotational velocity field".
- Conservative_vector_field wikiPageWikiLinkText "irrotational".
- Conservative_vector_field wikiPageWikiLinkText "path independent".
- Conservative_vector_field wikiPageWikiLinkText "rotationality".
- Conservative_vector_field hasPhotoCollection Conservative_vector_field.
- Conservative_vector_field wikiPageUsesTemplate Template:Main.
- Conservative_vector_field wikiPageUsesTemplate Template:More_footnotes.
- Conservative_vector_field wikiPageUsesTemplate Template:Reflist.
- Conservative_vector_field subject Category:Force.
- Conservative_vector_field subject Category:Vector_calculus.
- Conservative_vector_field hypernym Field.
- Conservative_vector_field type Article.
- Conservative_vector_field type Article.
- Conservative_vector_field type Quantity.
- Conservative_vector_field comment "In vector calculus a conservative vector field is a vector field that is the gradient of some function, known in this context as a scalar potential. Conservative vector fields have the property that the line integral is path independent, i.e. the choice of integration path between any point and another does not change the result. Path independence of a line integral is equivalent to the vector field being conservative.".
- Conservative_vector_field label "Conservative vector field".