@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:-XHRLH5MF-1
  skos:prefLabel "fonction polynomiale"@fr, "polynomial function"@en ;
  a skos:Concept ;
  skos:broader psr:-FF99PJ0L-W .

psr:-WWSM7CVR-6
  skos:prefLabel "fonction identité"@fr, "identity function"@en ;
  a skos:Concept ;
  skos:broader psr:-FF99PJ0L-W .

psr: a skos:ConceptScheme .
psr:-B6KXLWMT-N
  skos:prefLabel "constant function"@en, "fonction constante"@fr ;
  a skos:Concept ;
  skos:broader psr:-FF99PJ0L-W .

psr:-JN9714DC-D
  skos:prefLabel "fonction élémentaire"@fr, "elementary function"@en ;
  a skos:Concept ;
  skos:narrower psr:-FF99PJ0L-W .

psr:-BXH41LGM-B
  skos:prefLabel "fonction inverse"@fr, "reciprocal function"@en ;
  a skos:Concept ;
  skos:broader psr:-FF99PJ0L-W .

psr:-LM554F5D-N
  skos:prefLabel "fonction rationnelle"@fr, "rational function"@en ;
  a skos:Concept ;
  skos:broader psr:-FF99PJ0L-W .

psr:-FF99PJ0L-W
  skos:narrower psr:-NFZFVKLP-P, psr:-LM554F5D-N, psr:-BXH41LGM-B, psr:-KF6VNW4H-5, psr:-LSW86C6V-H, psr:-XHRLH5MF-1, psr:-B6KXLWMT-N, psr:-WWSM7CVR-6 ;
  skos:broader psr:-JN9714DC-D, psr:-MDFZ99KQ-Q ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Fonction_alg%C3%A9brique>, <https://en.wikipedia.org/wiki/Algebraic_function> ;
  a skos:Concept ;
  skos:prefLabel "fonction algébrique"@fr, "algebraic function"@en ;
  dc:modified "2023-08-23"^^xsd:date ;
  skos:definition """In mathematics, an algebraic function is a function that can be defined as the root of a polynomial equation. Quite often algebraic functions are algebraic expressions using a finite number of terms, involving only the algebraic operations addition, subtraction, multiplication, division, and raising to a fractional power. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Algebraic_function">https://en.wikipedia.org/wiki/Algebraic_function</a>)"""@en, """En mathématiques, une <b>fonction algébrique</b> d'indéterminées
<br/><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_{1},x_{2},\\\\dots ,x_{n}}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <msub>
<br/>          <mi>x</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>1</mn>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo>,</mo>
<br/>        <msub>
<br/>          <mi>x</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>2</mn>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo>,</mo>
<br/>        <mo>…<!-- … --></mo>
<br/>        <mo>,</mo>
<br/>        <msub>
<br/>          <mi>x</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</mi>
<br/>          </mrow>
<br/>        </msub>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle x_{1},x_{2},\\\\dots ,x_{n}}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/75c2d357bc1b965979bf171b5ba3bac0f68961c2" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.671ex; width:13.528ex; height:2.009ex;" alt="{\\\\displaystyle x_{1},x_{2},\\\\dots ,x_{n}}"></span>
<br/>est une fonction <i>F</i> qui satisfait l'équation non triviale
<br/><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 P(F,x_{1},x_{2},\\\\dots ,x_{n})=0}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <mi>P</mi>
<br/>        <mo stretchy="false">(</mo>
<br/>        <mi>F</mi>
<br/>        <mo>,</mo>
<br/>        <msub>
<br/>          <mi>x</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>1</mn>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo>,</mo>
<br/>        <msub>
<br/>          <mi>x</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>2</mn>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo>,</mo>
<br/>        <mo>…<!-- … --></mo>
<br/>        <mo>,</mo>
<br/>        <msub>
<br/>          <mi>x</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</mi>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo stretchy="false">)</mo>
<br/>        <mo>=</mo>
<br/>        <mn>0</mn>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle P(F,x_{1},x_{2},\\\\dots ,x_{n})=0}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f97b748e502a1eb63c47f73b77718405b4924ccd" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:24.119ex; height:2.843ex;" alt="{\\\\displaystyle P(F,x_{1},x_{2},\\\\dots ,x_{n})=0}"></span>
<br/>où <i>P</i> est un polynôme à <i>n</i> + 1 variables sur un corps commutatif <i>K</i>. En cela, <i>F</i> est une fonction implicite qui résout une équation algébrique. Un exemple simple serait
<br/><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 F(x)={\\\\sqrt {x^{2}+1}}}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <mi>F</mi>
<br/>        <mo stretchy="false">(</mo>
<br/>        <mi>x</mi>
<br/>        <mo stretchy="false">)</mo>
<br/>        <mo>=</mo>
<br/>        <mrow class="MJX-TeXAtom-ORD">
<br/>          <msqrt>
<br/>            <msup>
<br/>              <mi>x</mi>
<br/>              <mrow class="MJX-TeXAtom-ORD">
<br/>                <mn>2</mn>
<br/>              </mrow>
<br/>            </msup>
<br/>            <mo>+</mo>
<br/>            <mn>1</mn>
<br/>          </msqrt>
<br/>        </mrow>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle F(x)={\\\\sqrt {x^{2}+1}}}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/223704b51b109548073a34f9898168204f8ca2fb" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:16.689ex; height:3.509ex;" alt="{\\\\displaystyle F(x)={\\\\sqrt {x^{2}+1}}}"></span>
<br/>La classe des fonctions algébriques contient toutes les fonctions rationnelles, mais est plus grande. Du point de vue de l'algèbre générale, il s'agit, pour tout ensemble fixé d'indéterminées, de la clôture algébrique du corps des fonctions rationnelles. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Fonction_alg%C3%A9brique">https://fr.wikipedia.org/wiki/Fonction_alg%C3%A9brique</a>)"""@fr ;
  skos:inScheme psr: .

psr:-MDFZ99KQ-Q
  skos:prefLabel "fonction numérique"@fr, "real-valued function"@en ;
  a skos:Concept ;
  skos:narrower psr:-FF99PJ0L-W .

psr:-KF6VNW4H-5
  skos:prefLabel "fonction puissance"@fr, "power function"@en ;
  a skos:Concept ;
  skos:broader psr:-FF99PJ0L-W .

psr:-LSW86C6V-H
  skos:prefLabel "fonction du second degré"@fr, "quadratic function"@en ;
  a skos:Concept ;
  skos:broader psr:-FF99PJ0L-W .

psr:-NFZFVKLP-P
  skos:prefLabel "affine function"@en, "fonction affine"@fr ;
  a skos:Concept ;
  skos:broader psr:-FF99PJ0L-W .