@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:-FJ16DPFF-3
  skos:prefLabel "hyperplan d'appui"@fr, "supporting hyperplane"@en ;
  a skos:Concept ;
  skos:broader psr:-PW35VMXC-2 .

psr:-PW35VMXC-2
  skos:narrower psr:-ZW7QHDZL-V, psr:-K796KTZQ-6, psr:-FGNKJ77Z-2, psr:-NF3MCRTF-3, psr:-K2Q6DGTJ-L, psr:-G1WCM30X-X, psr:-FJ16DPFF-3, psr:-BQ41NXBG-B, psr:-D7BXDHMZ-R, psr:-KMWHCHWV-L, psr:-B6GNGFQ6-G, psr:-LST2FQN0-6 ;
  skos:prefLabel "ensemble convexe"@fr, "convex set"@en ;
  dc:modified "2024-10-18"^^xsd:date ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Ensemble_convexe>, <https://en.wikipedia.org/wiki/Convex_set> ;
  skos:inScheme psr: ;
  dc:created "2023-07-28"^^xsd:date ;
  a skos:Concept ;
  skos:definition """In geometry, a subset of a Euclidean space, or more generally an affine space over the reals, is convex if, given any two points in the subset, the subset contains the whole line segment that joins them. Equivalently, a convex set or a convex region is a subset that intersects every line into a single line segment (possibly empty). For example, a solid cube is a convex set, but anything that is hollow or has an indent, for example, a crescent shape, is not convex. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Convex_set">https://en.wikipedia.org/wiki/Convex_set</a>)"""@en, """Un objet géométrique est dit convexe lorsque, chaque fois qu'on y prend deux points A et B, le segment [A, B] qui les joint y est entièrement contenu. Ainsi un cube plein, un disque ou une boule sont convexes, mais un objet creux ou bosselé ne l'est pas. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Ensemble_convexe">https://fr.wikipedia.org/wiki/Ensemble_convexe</a>)"""@fr ;
  skos:broader psr:-ZTD7VMDS-3 .

psr:-LST2FQN0-6
  skos:prefLabel "fonction d'appui"@fr, "support function"@en ;
  a skos:Concept ;
  skos:broader psr:-PW35VMXC-2 .

psr:-K2Q6DGTJ-L
  skos:prefLabel "Helly's theorem"@en, "théorème de Helly"@fr ;
  a skos:Concept ;
  skos:broader psr:-PW35VMXC-2 .

psr:-NF3MCRTF-3
  skos:prefLabel "théorème de Carathéodory"@fr, "Carathéodory's theorem"@en ;
  a skos:Concept ;
  skos:broader psr:-PW35VMXC-2 .

psr:-BQ41NXBG-B
  skos:prefLabel "théorème de Minkowski"@fr, "Minkowski's theorem"@en ;
  a skos:Concept ;
  skos:broader psr:-PW35VMXC-2 .

psr:-ZTD7VMDS-3
  skos:prefLabel "analyse convexe"@fr, "convex analysis"@en ;
  a skos:Concept ;
  skos:narrower psr:-PW35VMXC-2 .

psr:-B6GNGFQ6-G
  skos:prefLabel "relative interior"@en, "intérieur relatif"@fr ;
  a skos:Concept ;
  skos:broader psr:-PW35VMXC-2 .

psr:-G1WCM30X-X
  skos:prefLabel "théorème de Radon"@fr, "Radon's theorem"@en ;
  a skos:Concept ;
  skos:broader psr:-PW35VMXC-2 .

psr:-K796KTZQ-6
  skos:prefLabel "théorème de Krein-Milman"@fr, "Krein-Milman theorem"@en ;
  a skos:Concept ;
  skos:broader psr:-PW35VMXC-2 .

psr: a skos:ConceptScheme .
psr:-ZW7QHDZL-V
  skos:prefLabel "hypographe"@fr, "hypograph"@en ;
  a skos:Concept ;
  skos:broader psr:-PW35VMXC-2 .

psr:-D7BXDHMZ-R
  skos:prefLabel "convex envelope"@en, "enveloppe convexe"@fr ;
  a skos:Concept ;
  skos:broader psr:-PW35VMXC-2 .

psr:-FGNKJ77Z-2
  skos:prefLabel "théorème de prolongement de M. Riesz"@fr, "M. Riesz extension theorem"@en ;
  a skos:Concept ;
  skos:broader psr:-PW35VMXC-2 .

psr:-KMWHCHWV-L
  skos:prefLabel "demi-espace"@fr, "half-space"@en ;
  a skos:Concept ;
  skos:broader psr:-PW35VMXC-2 .