@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:-KF6NQJL5-3
  skos:definition """En mathématiques, et plus précisément en analyse convexe, le domaine effectif d'une fonction à valeurs dans la droite réelle achevée <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle {\\ar {\\\\mathbb {R} }}}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mrow class="MJX-TeXAtom-ORD">
         <mrow class="MJX-TeXAtom-ORD">
         <mover>
         <mrow class="MJX-TeXAtom-ORD">
         <mi mathvariant="double-struck">R</mi>
         </mrow>
         <mo stretchy="false">¯<!-- ¯ --></mo>
         </mover>
         </mrow>
         </mrow>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle {\\ar {\\\\mathbb {R} }}}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/55c15a406946074613e09e4ae53bdfec849ec523" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.678ex; height:2.509ex;" alt="{\\ar {\\\\mathbb {R} }}"></span> est l'ensemble des points où elle ne prend pas la valeur <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle +\\\\infty }">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mo>+</mo>
         <mi mathvariant="normal">∞<!-- ∞ --></mi>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle +\\\\infty }</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bddbb0e4420a7e744cf71bd71216e11b0bf88831" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:4.132ex; height:2.176ex;" alt="+\\\\infty "></span>.         
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Domaine_effectif">https://fr.wikipedia.org/wiki/Domaine_effectif</a>)"""@fr, """In convex analysis, a branch of mathematics, the effective domain extends of the domain of a function defined for functions that take values in the extended real number line <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle [-\\\\infty ,\\\\infty ]=\\\\mathbb {R} \\\\cup \\\\{\\\\pm \\\\infty \\\\}.}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mo stretchy="false">[</mo>
         <mo>−<!-- − --></mo>
         <mi mathvariant="normal">∞<!-- ∞ --></mi>
         <mo>,</mo>
         <mi mathvariant="normal">∞<!-- ∞ --></mi>
         <mo stretchy="false">]</mo>
         <mo>=</mo>
         <mrow class="MJX-TeXAtom-ORD">
         <mi mathvariant="double-struck">R</mi>
         </mrow>
         <mo>∪<!-- ∪ --></mo>
         <mo fence="false" stretchy="false">{</mo>
         <mo>±<!-- ± --></mo>
         <mi mathvariant="normal">∞<!-- ∞ --></mi>
         <mo fence="false" stretchy="false">}</mo>
         <mo>.</mo>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle [-\\\\infty ,\\\\infty ]=\\\\mathbb {R} \\\\cup \\\\{\\\\pm \\\\infty \\\\}.}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/479ff6dbca655c5a33adb75d5d1946d0bed58801" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:23.246ex; height:2.843ex;" alt="{\\\\displaystyle [-\\\\infty ,\\\\infty ]=\\\\mathbb {R} \\\\cup \\\\{\\\\pm \\\\infty \\\\}.}"></span>
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Effective_domain">https://en.wikipedia.org/wiki/Effective_domain</a>)"""@en ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Domaine_effectif>, <https://en.wikipedia.org/wiki/Effective_domain> ;
  skos:inScheme psr: ;
  a skos:Concept ;
  skos:prefLabel "effective domain"@en, "domaine effectif"@fr ;
  skos:broader psr:-ZTD7VMDS-3, psr:-MDFZ99KQ-Q ;
  dc:created "2023-08-16"^^xsd:date ;
  dc:modified "2023-08-16"^^xsd:date .

psr:-ZTD7VMDS-3
  skos:prefLabel "analyse convexe"@fr, "convex analysis"@en ;
  a skos:Concept ;
  skos:narrower psr:-KF6NQJL5-3 .

psr:-MDFZ99KQ-Q
  skos:prefLabel "fonction numérique"@fr, "real-valued function"@en ;
  a skos:Concept ;
  skos:narrower psr:-KF6NQJL5-3 .