@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:exactMatch <https://fr.wikipedia.org/wiki/Fonction_polynomiale>, <https://en.wikipedia.org/wiki/Polynomial#Polynomial_functions> ;
  skos:altLabel "fonction polynôme"@fr ;
  a skos:Concept ;
  skos:inScheme psr: ;
  skos:narrower psr:-W7M3M400-M, psr:-TZ66HK86-J ;
  skos:prefLabel "fonction polynomiale"@fr, "polynomial function"@en ;
  skos:definition """A <i>polynomial function</i> is a function that can be defined by evaluating a polynomial. More precisely, a function <span class="texhtml"><i>f</i></span> of one argument from a given domain is a polynomial function if there exists a polynomial <div class="mwe-math-element"><div class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle a_{n}x^{n}+a_{n-1}x^{n-1}+\\\\cdots +a_{2}x^{2}+a_{1}x+a_{0}}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <msub>           <mi>a</mi>           <mrow class="MJX-TeXAtom-ORD">             <mi>n</mi>           </mrow>         </msub>         <msup>           <mi>x</mi>           <mrow class="MJX-TeXAtom-ORD">             <mi>n</mi>           </mrow>         </msup>         <mo>+</mo>         <msub>           <mi>a</mi>           <mrow class="MJX-TeXAtom-ORD">             <mi>n</mi>             <mo>−<!-- − --></mo>             <mn>1</mn>           </mrow>         </msub>         <msup>           <mi>x</mi>           <mrow class="MJX-TeXAtom-ORD">             <mi>n</mi>             <mo>−<!-- − --></mo>             <mn>1</mn>           </mrow>         </msup>         <mo>+</mo>         <mo>⋯<!-- ⋯ --></mo>         <mo>+</mo>         <msub>           <mi>a</mi>           <mrow class="MJX-TeXAtom-ORD">             <mn>2</mn>           </mrow>         </msub>         <msup>           <mi>x</mi>           <mrow class="MJX-TeXAtom-ORD">             <mn>2</mn>           </mrow>         </msup>         <mo>+</mo>         <msub>           <mi>a</mi>           <mrow class="MJX-TeXAtom-ORD">             <mn>1</mn>           </mrow>         </msub>         <mi>x</mi>         <mo>+</mo>         <msub>           <mi>a</mi>           <mrow class="MJX-TeXAtom-ORD">             <mn>0</mn>           </mrow>         </msub>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle a_{n}x^{n}+a_{n-1}x^{n-1}+\\\\cdots +a_{2}x^{2}+a_{1}x+a_{0}}</annotation>   </semantics> </math></div><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f8d770b4e9a5584c7ffed4fbef6136f5ec9c6ef6" class="mwe-math-fallback-image-display mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:41.685ex; height:3.009ex;" alt="{\\\\displaystyle a_{n}x^{n}+a_{n-1}x^{n-1}+\\\\cdots +a_{2}x^{2}+a_{1}x+a_{0}}"></div> that evaluates to <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)}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mi>f</mi>         <mo stretchy="false">(</mo>         <mi>x</mi>         <mo stretchy="false">)</mo>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle f(x)}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/202945cce41ecebb6f643f31d119c514bec7a074" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.418ex; height:2.843ex;" alt="{\\\\displaystyle f(x)}"></span> for all <span class="texhtml mvar" style="font-style:italic;">x</span> in the domain of <span class="texhtml mvar" style="font-style:italic;">f</span> (here, <span class="texhtml"><i>n</i></span> is a non-negative integer and <span class="texhtml"><i>a</i><sub>0</sub>, <i>a</i><sub>1</sub>, <i>a</i><sub>2</sub>, ..., <i>a<sub>n</sub></i></span> are constant coefficients). Generally, unless otherwise specified, polynomial functions have complex coefficients, arguments, and values. In particular, a polynomial, restricted to have real coefficients, defines a function from the complex numbers to the complex numbers. If the domain of this function is also restricted to the reals, the resulting function is a real function that maps reals to reals. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Polynomial#Polynomial_functions">https://en.wikipedia.org/wiki/Polynomial#Polynomial_functions</a>)"""@en, """En mathématiques, une fonction polynomiale (parfois appelée fonction polynôme) est une fonction obtenue en évaluant un polynôme.
<br/>Par abus de langage, on appelle parfois une fonction polynomiale un polynôme, confondant ainsi la notion de fonction polynomiale avec celle de polynôme formel. Cette confusion est sans gravité dans le cadre des polynômes à coefficients réels ou complexes (ou plus généralement à coefficients dans un corps infini) mais peut conduire à des contresens en général (par exemple pour les polynômes à coefficients dans un corps fini). 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Fonction_polynomiale">https://fr.wikipedia.org/wiki/Fonction_polynomiale</a>)"""@fr ;
  skos:broader psr:-FF99PJ0L-W ;
  dc:modified "2024-10-18"^^xsd:date .

psr:-W7M3M400-M
  skos:prefLabel "cubic function"@en, "fonction cubique"@fr ;
  a skos:Concept ;
  skos:broader psr:-XHRLH5MF-1 .

psr: a skos:ConceptScheme .
psr:-TZ66HK86-J
  skos:prefLabel "fonction linéaire"@fr, "linear function"@en ;
  a skos:Concept ;
  skos:broader psr:-XHRLH5MF-1 .

psr:-FF99PJ0L-W
  skos:prefLabel "algebraic function"@en, "fonction algébrique"@fr ;
  a skos:Concept ;
  skos:narrower psr:-XHRLH5MF-1 .