@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:-J55S8WBV-K
  skos:broader psr:-ZTD7VMDS-3, psr:-RN57KZJ9-9 ;
  dc:created "2023-08-17"^^xsd:date ;
  skos:prefLabel "théorème de Gauss-Lucas"@fr, "Gauss-Lucas theorem"@en ;
  skos:inScheme psr: ;
  skos:definition """In complex analysis, a branch of mathematics, the Gauss–Lucas theorem gives a geometric relation between the roots of a polynomial <i>P</i> and the roots of its derivative <span class="texhtml mvar" style="font-style:italic;">P'</span>. The set of roots of a real or complex polynomial is a set of points in the complex plane. The theorem states that the roots of <span class="texhtml mvar" style="font-style:italic;">P'</span> all lie within the convex hull of the roots of <i>P</i>, that is the smallest convex polygon containing the roots of <i>P</i>. When <i>P</i> has a single root then this convex hull is a single point and when the roots lie on a line then the convex hull is a segment of this line. The Gauss–Lucas theorem, named after Carl Friedrich Gauss and Félix Lucas, is similar in spirit to Rolle's theorem. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Gauss%E2%80%93Lucas_theorem">https://en.wikipedia.org/wiki/Gauss%E2%80%93Lucas_theorem</a>)"""@en, """En mathématiques, le théorème de Gauss-Lucas, ou théorème de Lucas, établit une propriété des polynômes complexes. Il énonce que les racines du polynôme dérivé sont situées dans l'enveloppe convexe de l'ensemble des racines du polynôme d'origine. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Th%C3%A9or%C3%A8me_de_Gauss-Lucas">https://fr.wikipedia.org/wiki/Th%C3%A9or%C3%A8me_de_Gauss-Lucas</a>)"""@fr ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Th%C3%A9or%C3%A8me_de_Gauss-Lucas>, <https://en.wikipedia.org/wiki/Gauss%E2%80%93Lucas_theorem> ;
  a skos:Concept ;
  dc:modified "2023-08-17"^^xsd:date ;
  skos:altLabel "théorème de Lucas"@fr .

psr:-ZTD7VMDS-3
  skos:prefLabel "analyse convexe"@fr, "convex analysis"@en ;
  a skos:Concept ;
  skos:narrower psr:-J55S8WBV-K .

psr:-RN57KZJ9-9
  skos:prefLabel "analyse complexe"@fr, "complex analysis"@en ;
  a skos:Concept ;
  skos:narrower psr:-J55S8WBV-K .