@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

psr: a skos:ConceptScheme .
psr:-PK5PSW67-S
  skos:exactMatch <https://en.wikipedia.org/wiki/Deformation_(mathematics)> ;
  skos:broader psr:-RXQC777M-K, psr:-SKGJ9CKK-N ;
  skos:inScheme psr: ;
  dc:created "2023-08-23"^^xsd:date ;
  dc:modified "2023-08-23"^^xsd:date ;
  skos:definition """In mathematics, deformation theory is the study of infinitesimal conditions associated with varying a solution <i>P</i> of a problem to slightly different solutions <i>P</i><sub>ε</sub>, where ε is a small number, or a vector of small quantities. The infinitesimal conditions are the result of applying the approach of differential calculus to solving a problem with constraints. The name is an analogy to non-rigid structures that deform slightly to accommodate external forces. 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. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Deformation_(mathematics)">https://en.wikipedia.org/wiki/Deformation_(mathematics)</a>)"""@en ;
  skos:prefLabel "deformation"@en, "déformation"@fr ;
  a skos:Concept .

psr:-RXQC777M-K
  skos:prefLabel "algèbre différentielle"@fr, "differential algebra"@en ;
  a skos:Concept ;
  skos:narrower psr:-PK5PSW67-S .

psr:-SKGJ9CKK-N
  skos:prefLabel "géométrie algébrique"@fr, "algebraic geometry"@en ;
  a skos:Concept ;
  skos:narrower psr:-PK5PSW67-S .