@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:-QLGNKBD8-R
  skos:prefLabel "ensemble"@fr, "set"@en ;
  a skos:Concept ;
  skos:narrower psr:-JR5LB61Z-S .

psr:-JR5LB61Z-S
  a skos:Concept ;
  skos:inScheme psr: ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Compl%C3%A9mentaire_(th%C3%A9orie_des_ensembles)>, <https://en.wikipedia.org/wiki/Complement_(set_theory)> ;
  skos:definition """En mathématiques, et plus particulièrement en théorie des ensembles, le complémentaire d'une partie A d'un ensemble E est constitué de tous les éléments de E n'appartenant pas à A. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Compl%C3%A9mentaire_(th%C3%A9orie_des_ensembles)">https://fr.wikipedia.org/wiki/Compl%C3%A9mentaire_(th%C3%A9orie_des_ensembles)</a>)"""@fr, """In set theory, the <b>complement</b> of a set <span class="texhtml mvar" style="font-style:italic;">A</span>, often denoted by <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 A^{\\\\complement }}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <msup>           <mi>A</mi>           <mrow class="MJX-TeXAtom-ORD">             <mi>∁<!-- ∁ --></mi>           </mrow>         </msup>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle A^{\\\\complement }}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e02346e3f6e10452080e6f3a7326e0aa2185dc2a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.797ex; height:3.009ex;" alt="{\\\\displaystyle A^{\\\\complement }}"></span> (or <span class="texhtml"><i>A</i>′</span>), is the set of elements not in <span class="texhtml mvar" style="font-style:italic;">A</span>. When all elements in the universe, i.e. all elements under consideration, are considered to be members of a given set <span class="texhtml mvar" style="font-style:italic;">U</span>, the <b>absolute complement</b> of <span class="texhtml mvar" style="font-style:italic;">A</span> is the set of elements in <span class="texhtml mvar" style="font-style:italic;">U</span> that are not in <span class="texhtml mvar" style="font-style:italic;">A</span>. The <b>relative complement</b> of <span class="texhtml mvar" style="font-style:italic;">A</span> with respect to a set <span class="texhtml mvar" style="font-style:italic;">B</span>, also termed the <b>set difference</b> of <span class="texhtml mvar" style="font-style:italic;">B</span> and <span class="texhtml mvar" style="font-style:italic;">A</span>, written <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 B\\\\setminus A,}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mi>B</mi>         <mo class="MJX-variant">∖<!-- ∖ --></mo>         <mi>A</mi>         <mo>,</mo>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle B\\\\setminus A,}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/451b2751afbcbc6ef7c030c222a7e2e848a70f47" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.349ex; height:2.843ex;" alt="{\\\\displaystyle B\\\\setminus A,}"></span> is the set of elements in <span class="texhtml mvar" style="font-style:italic;">B</span> that are not in <span class="texhtml mvar" style="font-style:italic;">A</span>.  
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Complement_(set_theory)">https://en.wikipedia.org/wiki/Complement_(set_theory)</a>)"""@en ;
  skos:prefLabel "complémentaire"@fr, "complement"@en ;
  dc:modified "2024-10-18"^^xsd:date ;
  dc:created "2023-08-21"^^xsd:date ;
  skos:broader psr:-QLGNKBD8-R .