Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Deformation_theory> ?p ?o }
Showing triples 1 to 70 of
70
with 100 triples per page.
- Deformation_theory abstract "In mathematics, deformation theory is the study of infinitesimal conditions associated with varying a solution P of a problem to slightly different solutions Pε, where ε is a small number, or vector of small quantities. The infinitesimal conditions are therefore the result of applying the approach of differential calculus to solving a problem with constraints. One might think, in analogy, of a structure that is not completely rigid, and that deforms slightly to accommodate forces applied from the outside; this explains the name.Some characteristic phenomena are: the derivation of first-order equations by treating the ε quantities as having negligible squares; the possibility of isolated solutions, in that varying a solution may not be possible, or does not bring anything new; and the question of whether the infinitesimal constraints actually 'integrate', so that their solution does provide small variations. In some form these considerations have a history of centuries in mathematics, but also in physics and engineering. For example, in the geometry of numbers a class of results called isolation theorems was recognised, with the topological interpretation of an open orbit (of a group action) around a given solution. Perturbation theory also looks at deformations, in general of operators.".
- Deformation_theory wikiPageExternalLink deform.pdf.
- Deformation_theory wikiPageID "679351".
- Deformation_theory wikiPageLength "5565".
- Deformation_theory wikiPageOutDegree "37".
- Deformation_theory wikiPageRevisionID "646871767".
- Deformation_theory wikiPageWikiLink Alexander_Grothendieck.
- Deformation_theory wikiPageWikiLink Algebraic_variety.
- Deformation_theory wikiPageWikiLink Category:Algebraic_geometry.
- Deformation_theory wikiPageWikiLink Category:Differential_algebra.
- Deformation_theory wikiPageWikiLink Complex_manifold.
- Deformation_theory wikiPageWikiLink Constraint_(mathematics).
- Deformation_theory wikiPageWikiLink Cotangent_bundle.
- Deformation_theory wikiPageWikiLink Differential_calculus.
- Deformation_theory wikiPageWikiLink Differential_geometry.
- Deformation_theory wikiPageWikiLink Donald_C._Spencer.
- Deformation_theory wikiPageWikiLink Elliptic_curve.
- Deformation_theory wikiPageWikiLink Elliptic_function.
- Deformation_theory wikiPageWikiLink Engineering.
- Deformation_theory wikiPageWikiLink Exterior_algebra.
- Deformation_theory wikiPageWikiLink Geometry_of_numbers.
- Deformation_theory wikiPageWikiLink Group_action.
- Deformation_theory wikiPageWikiLink Hochschild_homology.
- Deformation_theory wikiPageWikiLink Hodge_theory.
- Deformation_theory wikiPageWikiLink Italian_school_of_algebraic_geometry.
- Deformation_theory wikiPageWikiLink Kunihiko_Kodaira.
- Deformation_theory wikiPageWikiLink Mathematics.
- Deformation_theory wikiPageWikiLink Maxim_Kontsevich.
- Deformation_theory wikiPageWikiLink Moduli_space.
- Deformation_theory wikiPageWikiLink Operator_(mathematics).
- Deformation_theory wikiPageWikiLink Perturbation_theory.
- Deformation_theory wikiPageWikiLink Physics.
- Deformation_theory wikiPageWikiLink Pierre_Deligne.
- Deformation_theory wikiPageWikiLink Quadratic_differential.
- Deformation_theory wikiPageWikiLink Riemann_sphere.
- Deformation_theory wikiPageWikiLink Riemann_surface.
- Deformation_theory wikiPageWikiLink Riemann–Roch_theorem.
- Deformation_theory wikiPageWikiLink Serre_duality.
- Deformation_theory wikiPageWikiLink Sheaf_cohomology.
- Deformation_theory wikiPageWikiLink String_theory.
- Deformation_theory wikiPageWikiLink Tangent_bundle.
- Deformation_theory wikiPageWikiLink Teichmüller_space.
- Deformation_theory wikiPageWikiLink Zariski_tangent_space.
- Deformation_theory wikiPageWikiLinkText "'''deformation'''".
- Deformation_theory wikiPageWikiLinkText "Algebraic Deformation Theory".
- Deformation_theory wikiPageWikiLinkText "Deformation theory".
- Deformation_theory wikiPageWikiLinkText "Deformation theory#Deformations of complex manifolds".
- Deformation_theory wikiPageWikiLinkText "deform".
- Deformation_theory wikiPageWikiLinkText "deformation theory".
- Deformation_theory wikiPageWikiLinkText "deformation".
- Deformation_theory wikiPageWikiLinkText "deformations".
- Deformation_theory wikiPageWikiLinkText "deforms".
- Deformation_theory wikiPageWikiLinkText "quantum deformation".
- Deformation_theory id "d/d030700".
- Deformation_theory title "deformation".
- Deformation_theory wikiPageUsesTemplate Template:PDFlink.
- Deformation_theory wikiPageUsesTemplate Template:Springer.
- Deformation_theory subject Category:Algebraic_geometry.
- Deformation_theory subject Category:Differential_algebra.
- Deformation_theory hypernym Study.
- Deformation_theory type Book.
- Deformation_theory type Redirect.
- Deformation_theory comment "In mathematics, deformation theory is the study of infinitesimal conditions associated with varying a solution P of a problem to slightly different solutions Pε, where ε is a small number, or vector of small quantities. The infinitesimal conditions are therefore the result of applying the approach of differential calculus to solving a problem with constraints.".
- Deformation_theory label "Deformation theory".
- Deformation_theory sameAs Q5251702.
- Deformation_theory sameAs m.03283c.
- Deformation_theory sameAs Теория_деформаций.
- Deformation_theory sameAs Q5251702.
- Deformation_theory wasDerivedFrom Deformation_theory?oldid=646871767.
- Deformation_theory isPrimaryTopicOf Deformation_theory.