@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:-LSW86C6V-H
  dc:modified "2024-10-18"^^xsd:date ;
  skos:inScheme psr: ;
  a skos:Concept ;
  skos:definition """En analyse réelle, une <b>fonction du second degré</b> est une fonction numérique définie par <span style="display: block; padding: 0.3em; margin-left: 1.3em"><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\\\\mapsto ax^{2}+bx+c}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mi>f</mi>         <mo>:</mo>         <mi>x</mi>         <mo stretchy="false">↦<!-- ↦ --></mo>         <mi>a</mi>         <msup>           <mi>x</mi>           <mrow class="MJX-TeXAtom-ORD">             <mn>2</mn>           </mrow>         </msup>         <mo>+</mo>         <mi>b</mi>         <mi>x</mi>         <mo>+</mo>         <mi>c</mi>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle f:x\\\\mapsto ax^{2}+bx+c}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cd31771b09cec7afd0a41a8cb2bd3c15e12af45c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:20.788ex; height:3.009ex;" alt="{\\\\displaystyle f:x\\\\mapsto ax^{2}+bx+c}"></span></span> où <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}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mi>a</mi>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle a}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\\\\displaystyle a}"></span>, <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}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mi>b</mi>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle b}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\\\\displaystyle b}"></span> et <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 c}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mi>c</mi>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle c}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86a67b81c2de995bd608d5b2df50cd8cd7d92455" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.007ex; height:1.676ex;" alt="{\\\\displaystyle c}"></span> sont des nombres réels qui ne dépendent pas de la variable <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}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mi>x</mi>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle x}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\\\\displaystyle x}"></span>, avec <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\\
eq 0}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mi>a</mi>         <mo>≠<!-- ≠ --></mo>         <mn>0</mn>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle a\\
eq 0}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f455a7f96d74aa94573d8e32da3b240ab0aa294f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.491ex; height:2.676ex;" alt="{\\\\displaystyle a\\
eq 0}"></span>. Les <b>fonctions polynomiales</b> du second degré sont parfois appelées <b>trinômes du second degré</b>, <b>fonctions quadratiques</b> ou encore fonctions du second degré. Ce sont les fonctions les plus simples, après les fonctions affines. Ces fonctions du second degré trouvent leurs applications dans des domaines extrêmement variés comme l'étude théorique d'une chute libre en physique. La représentation graphique d'une fonction du second degré est une parabole qui possède un axe de symétrie parallèle à l'axe des ordonnées. Le signe du nombre <i>a</i> indique le sens de variation de la fonction. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Fonction_du_second_degr%C3%A9">https://fr.wikipedia.org/wiki/Fonction_du_second_degr%C3%A9</a>)"""@fr, """In mathematics, a quadratic polynomial is a polynomial of degree two in one or more variables. A quadratic function is the polynomial function defined by a quadratic polynomial. Before the 20th century, the distinction was unclear between a polynomial and its associated polynomial function; so "quadratic polynomial" and "quadratic function" were almost synonymous. This is still the case in many elementary courses, where both terms are often abbreviated as "quadratic". 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Quadratic_function">https://en.wikipedia.org/wiki/Quadratic_function</a>)"""@en ;
  skos:altLabel "trinôme"@fr, "fonction quadratique"@fr ;
  skos:broader psr:-FF99PJ0L-W ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Fonction_du_second_degr%C3%A9>, <https://en.wikipedia.org/wiki/Quadratic_function> ;
  skos:prefLabel "fonction du second degré"@fr, "quadratic function"@en .

psr:-FF99PJ0L-W
  skos:prefLabel "algebraic function"@en, "fonction algébrique"@fr ;
  a skos:Concept ;
  skos:narrower psr:-LSW86C6V-H .

