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- Differential_invariant abstract "In mathematics, a differential invariant is an invariant for the action of a Lie group on a space that involves the derivatives of graphs of functions in the space. Differential invariants are fundamental in projective differential geometry, and the curvature is often studied from this point of view. Differential invariants were introduced in special cases by Sophus Lie in the early 1880s and studied by Georges Henri Halphen at the same time. Lie (1884) was the first general work on differential invariants, and established the relationship between differential invariants, invariant differential equations, and invariant differential operators.Differential invariants are contrasted with geometric invariants. Whereas differential invariants can involve a distinguished choice of independent variables (or a parameterization), geometric invariants do not. Élie Cartan's method of moving frames is a refinement that, while less general than Lie's methods of differential invariants, always yields invariants of the geometrical kind.".
- Differential_invariant wikiPageExternalLink mort186.html.
- Differential_invariant wikiPageID "25412108".
- Differential_invariant wikiPageRevisionID "541142375".
- Differential_invariant hasPhotoCollection Differential_invariant.
- Differential_invariant subject Category:Differential_geometry.
- Differential_invariant subject Category:Invariant_theory.
- Differential_invariant subject Category:Projective_geometry.
- Differential_invariant comment "In mathematics, a differential invariant is an invariant for the action of a Lie group on a space that involves the derivatives of graphs of functions in the space. Differential invariants are fundamental in projective differential geometry, and the curvature is often studied from this point of view. Differential invariants were introduced in special cases by Sophus Lie in the early 1880s and studied by Georges Henri Halphen at the same time.".
- Differential_invariant label "Differential invariant".
- Differential_invariant sameAs m.09k6p92.
- Differential_invariant sameAs Q5275353.
- Differential_invariant sameAs Q5275353.
- Differential_invariant wasDerivedFrom Differential_invariant?oldid=541142375.
- Differential_invariant isPrimaryTopicOf Differential_invariant.