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- Variational_principle abstract "A variational principle is a scientific principle used within the calculus of variations, which develops general methods for finding functions which minimize or maximize the value of quantities that depend upon those functions. For example, to answer this question: "What is the shape of a chain suspended at both ends?" we can use the variational principle that the shape must minimize the gravitational potential energy.According to Cornelius Lanczos, any physical law which can be expressed as a variational principle describes an expression which is self-adjoint. These expressions are also called Hermitian. Such an expression describes an invariant under a Hermitian transformation.Felix Klein's Erlangen program attempted to identify such invariants under a group of transformations. In what is referred to in physics as Noether's theorem, the Poincaré group of transformations (what is now called a gauge group) for general relativity defines symmetries under a group of transformations which depend on a variational principle, or action principle.".
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- Variational_principle wikiPageExternalLink page-1052.
- Variational_principle wikiPageID "491097".
- Variational_principle wikiPageRevisionID "598860614".
- Variational_principle hasPhotoCollection Variational_principle.
- Variational_principle subject Category:Articles_containing_proofs.
- Variational_principle subject Category:Calculus_of_variations.
- Variational_principle subject Category:Principles.
- Variational_principle subject Category:Theoretical_physics.
- Variational_principle subject Category:Variational_principles.
- Variational_principle type Abstraction100002137.
- Variational_principle type Cognition100023271.
- Variational_principle type Content105809192.
- Variational_principle type Generalization105913275.
- Variational_principle type Idea105833840.
- Variational_principle type Principle105913538.
- Variational_principle type Principles.
- Variational_principle type PsychologicalFeature100023100.
- Variational_principle type VariationalPrinciples.
- Variational_principle comment "A variational principle is a scientific principle used within the calculus of variations, which develops general methods for finding functions which minimize or maximize the value of quantities that depend upon those functions.".
- Variational_principle label "Principe variationnel".
- Variational_principle label "Principio variazionale".
- Variational_principle label "Princípio variacional".
- Variational_principle label "Variational principle".
- Variational_principle label "Zasada wariacyjna".
- Variational_principle label "Вариационные принципы".
- Variational_principle label "变分原理".
- Variational_principle label "変分原理".
- Variational_principle sameAs Variační_princip.
- Variational_principle sameAs Principe_variationnel.
- Variational_principle sameAs Principio_variazionale.
- Variational_principle sameAs 変分原理.
- Variational_principle sameAs Zasada_wariacyjna.
- Variational_principle sameAs Princípio_variacional.
- Variational_principle sameAs m.02gv11.
- Variational_principle sameAs Q745215.
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- Variational_principle sameAs Variational_principle.
- Variational_principle wasDerivedFrom Variational_principle?oldid=598860614.
- Variational_principle isPrimaryTopicOf Variational_principle.