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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 extremize 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.Statements of variational principles are rewarded by the Fermat Prize.".
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- Variational_principle wikiPageWikiLink Action_(physics).
- Variational_principle wikiPageWikiLink Calculus_of_variations.
- Variational_principle wikiPageWikiLink Category:Articles_containing_proofs.
- Variational_principle wikiPageWikiLink Category:Calculus_of_variations.
- Variational_principle wikiPageWikiLink Category:Principles.
- Variational_principle wikiPageWikiLink Category:Theoretical_physics.
- Variational_principle wikiPageWikiLink Category:Variational_principles.
- Variational_principle wikiPageWikiLink Catenary.
- Variational_principle wikiPageWikiLink Classical_mechanics.
- Variational_principle wikiPageWikiLink Cornelius_Lanczos.
- Variational_principle wikiPageWikiLink Einstein_field_equations.
- Variational_principle wikiPageWikiLink Einstein–Hilbert_action.
- Variational_principle wikiPageWikiLink Ekelands_variational_principle.
- Variational_principle wikiPageWikiLink Erlangen_program.
- Variational_principle wikiPageWikiLink Felix_Klein.
- Variational_principle wikiPageWikiLink Fermat_Prize.
- Variational_principle wikiPageWikiLink Fermats_principle.
- Variational_principle wikiPageWikiLink Finite_element_method.
- Variational_principle wikiPageWikiLink Gauge_theory.
- Variational_principle wikiPageWikiLink Gausss_principle_of_least_constraint.
- Variational_principle wikiPageWikiLink General_relativity.
- Variational_principle wikiPageWikiLink Geometrical_optics.
- Variational_principle wikiPageWikiLink History_of_variational_principles_in_physics.
- Variational_principle wikiPageWikiLink Invariant_(mathematics).
- Variational_principle wikiPageWikiLink Ivar_Ekeland.
- Variational_principle wikiPageWikiLink List_of_things_named_after_Charles_Hermite.
- Variational_principle wikiPageWikiLink Maupertuis_principle.
- Variational_principle wikiPageWikiLink Maxwells_equations.
- Variational_principle wikiPageWikiLink Mechanics.
- Variational_principle wikiPageWikiLink Noethers_theorem.
- Variational_principle wikiPageWikiLink Palatini_variation.
- Variational_principle wikiPageWikiLink Poincaré_group.
- Variational_principle wikiPageWikiLink Principle_of_least_action.
- Variational_principle wikiPageWikiLink Quantum_mechanics.
- Variational_principle wikiPageWikiLink Richard_Feynman.
- Variational_principle wikiPageWikiLink Self-adjoint_operator.
- Variational_principle wikiPageWikiLink Stephen_Wolfram.
- Variational_principle wikiPageWikiLink Vadim_Komkov.
- Variational_principle wikiPageWikiLink Variational_method_(quantum_mechanics).
- Variational_principle wikiPageWikiLinkText "Variational principle".
- Variational_principle wikiPageWikiLinkText "variation".
- Variational_principle wikiPageWikiLinkText "variational principle".
- Variational_principle wikiPageWikiLinkText "variational".
- Variational_principle wikiPageWikiLinkText "variationally".
- Variational_principle wikiPageUsesTemplate Template:Cite_book.
- Variational_principle wikiPageUsesTemplate Template:Cite_journal.
- Variational_principle wikiPageUsesTemplate Template:Dead_link.
- 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 hypernym Principle.
- Variational_principle type Agent.
- Variational_principle type Concept.
- Variational_principle type Physic.
- Variational_principle type Proof.
- Variational_principle type Redirect.
- Variational_principle type Theory.
- Variational_principle type Concept.
- Variational_principle comment "A variational principle is a scientific principle used within the calculus of variations, which develops general methods for finding functions which extremize the value of quantities that depend upon those functions.".
- Variational_principle label "Variational principle".
- Variational_principle sameAs Q745215.
- Variational_principle sameAs Variační_princip.
- Variational_principle sameAs Variaatioperiaate.
- Variational_principle sameAs Principe_variationnel.
- Variational_principle sameAs Մեխանիկայի_վարիացիոն_սկզբունքներ.
- Variational_principle sameAs Principio_variazionale.
- Variational_principle sameAs 変分原理.
- Variational_principle sameAs Механиканың_вариациялық_принциптері.
- Variational_principle sameAs Zasada_wariacyjna.
- Variational_principle sameAs Princípio_variacional.
- Variational_principle sameAs m.02gv11.
- Variational_principle sameAs Вариационные_принципы.
- Variational_principle sameAs Varyasyon_Prensibi.
- Variational_principle sameAs Q745215.
- Variational_principle sameAs 变分原理.
- Variational_principle wasDerivedFrom Variational_principle?oldid=699937867.
- Variational_principle isPrimaryTopicOf Variational_principle.