@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:-V91WMW66-Q
  skos:prefLabel "équation polynomiale"@fr, "polynomial equation"@en ;
  a skos:Concept ;
  skos:narrower psr:-RZHMZQ9H-2 .

psr:-VZ83B143-L
  skos:prefLabel "fonction hypergéométrique"@fr, "hypergeometric function"@en ;
  a skos:Concept ;
  skos:narrower psr:-RZHMZQ9H-2 .

psr:-RZHMZQ9H-2
  skos:broader psr:-F7SFNL4R-1, psr:-VZ83B143-L, psr:-V91WMW66-Q ;
  skos:definition """En mathématiques et en algèbre, un radical de Bring ou ultraradical est un zéro réel du polynôme 
         <dl><dd><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 x^{5}+x+a\\\\,}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <msup>
         <mi>x</mi>
         <mrow class="MJX-TeXAtom-ORD">
         <mn>5</mn>
         </mrow>
         </msup>
         <mo>+</mo>
         <mi>x</mi>
         <mo>+</mo>
         <mi>a</mi>
         <mspace width="thinmathspace"></mspace>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle x^{5}+x+a\\\\,}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/38c87582801f43ad4b5990a0bb90ae135a94787a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:11.011ex; height:2.843ex;" alt="{\\\\displaystyle x^{5}+x+a\\\\,}"></span></dd></dl>
         dans lequel <span class="texhtml mvar" style="font-style:italic;">a</span> est un nombre complexe. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Radical_de_Bring">https://fr.wikipedia.org/wiki/Radical_de_Bring</a>)"""@fr, """In algebra, the Bring radical or ultraradical of a real number <i>a</i> is the unique real root of the polynomial <dl><dd><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 x^{5}+x+a\\\\,}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <msup>
         <mi>x</mi>
         <mrow class="MJX-TeXAtom-ORD">
         <mn>5</mn>
         </mrow>
         </msup>
         <mo>+</mo>
         <mi>x</mi>
         <mo>+</mo>
         <mi>a</mi>
         <mspace width="thinmathspace"></mspace>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle x^{5}+x+a\\\\,}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/38c87582801f43ad4b5990a0bb90ae135a94787a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:11.011ex; height:2.843ex;" alt="{\\\\displaystyle x^{5}+x+a\\\\,}"></span></dd></dl>
<br/>The Bring radical of a complex number <i>a</i> is either any of the five roots of the above polynomial (it is thus multi-valued), or a specific root, which is usually chosen such that the Bring radical is real-valued for real a and is an analytic function in a neighborhood of the real line. Because of the existence of four branch points, the Bring radical cannot be defined as a function that is continuous over the whole complex plane, and its domain of continuity must exclude four branch cuts. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Bring_radical">https://en.wikipedia.org/wiki/Bring_radical</a>)"""@en ;
  dc:created "2023-08-17"^^xsd:date ;
  dc:modified "2023-08-17"^^xsd:date ;
  skos:prefLabel "radical de Bring"@fr, "Bring radical"@en ;
  a skos:Concept ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Radical_de_Bring>, <https://en.wikipedia.org/wiki/Bring_radical> ;
  skos:altLabel "ultraradical"@en, "ultraradical"@fr ;
  skos:inScheme psr: .

psr: a skos:ConceptScheme .
psr:-F7SFNL4R-1
  skos:prefLabel "algebraic number theory"@en, "théorie algébrique des nombres"@fr ;
  a skos:Concept ;
  skos:narrower psr:-RZHMZQ9H-2 .

