@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:-QDVMG3GZ-L
  skos:prefLabel "conjugate"@en, "quantité conjuguée"@fr ;
  a skos:Concept ;
  skos:related psr:-Z5HH6H12-K .

psr:-HXTWXBPR-5
  skos:prefLabel "nth root"@en, "racine d'un nombre"@fr ;
  a skos:Concept ;
  skos:narrower psr:-Z5HH6H12-K .

psr:-Z5HH6H12-K
  a skos:Concept ;
  skos:prefLabel "racine carrée"@fr, "square root"@en ;
  dc:modified "2024-10-18"^^xsd:date ;
  skos:definition """En mathématiques élémentaires, <b>la racine carrée</b> d'un nombre réel positif <span class="texhtml"><i>x</i></span> est l'unique réel positif qui, lorsqu'il est multiplié par lui-même, donne <span class="texhtml"><i>x</i></span>, c'est-à-dire le nombre positif dont le carré vaut <span class="texhtml"><i>x</i></span>. On le note <span class="racine texhtml">√<span style="border-top:1px solid; padding:0 0.1em;"><i>x</i></span></span> ou <span class="texhtml"><i>x</i><sup>1/2</sup></span>. Dans cette expression, <span class="texhtml"><i>x</i></span> est appelé le <b>radicande</b> et le signe <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 {\\\\sqrt {\\\\quad }}}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mrow class="MJX-TeXAtom-ORD">           <msqrt>             <mspace width="1em"></mspace>           </msqrt>         </mrow>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle {\\\\sqrt {\\\\quad }}}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/62a3244ffb6799c0ac7189a9acf3a4d7b2c55e8c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:4.258ex; height:3.009ex;" alt="{\\\\displaystyle {\\\\sqrt {\\\\quad }}}"></span> est appelé le <b>radical</b></span>. La fonction qui, à tout réel positif, associe sa racine carrée s'appelle la <b>fonction racine carrée</b>. En algèbre et analyse, dans un anneau ou un corps <span class="texhtml"><i>A</i></span>, on appelle <b>racine carrée</b> de <span class="texhtml"><i>a</i></span> <i>tout</i> élément de <span class="texhtml"><i>A</i></span> dont le carré vaut <span class="texhtml"><i>a</i></span>. Par exemple, dans le corps des complexes ℂ, on dira de <span class="texhtml">i</span> (ou de <span class="texhtml">− i</span>) qu'il est <i>une</i> racine carrée de <span class="texhtml">− 1</span>. Selon la nature de l'anneau et la valeur de <span class="texhtml"><i>a</i></span>, on peut trouver 0, 1, 2 ou plus de 2 racines carrées de <span class="texhtml"><i>a</i></span>.  
<br/>(Wikipedia, L'Encylopédie Libre,<a href="https://fr.wikipedia.org/wiki/Racine_carr%C3%A9e">https://fr.wikipedia.org/wiki/Racine_carr%C3%A9e</a>)"""@fr, """In mathematics, a <b>square root</b> of a number <span class="texhtml mvar" style="font-style:italic;">x</span> is a number <span class="texhtml mvar" style="font-style:italic;">y</span> such that <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 y^{2}=x}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <msup>           <mi>y</mi>           <mrow class="MJX-TeXAtom-ORD">             <mn>2</mn>           </mrow>         </msup>         <mo>=</mo>         <mi>x</mi>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle y^{2}=x}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fb1cfda1f3310a5c649d6847b1b2325968850889" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:6.643ex; height:3.009ex;" alt="{\\\\displaystyle y^{2}=x}"></span>; in other words, a number <span class="texhtml mvar" style="font-style:italic;">y</span> whose <i>square</i> (the result of multiplying the number by itself, or <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 y\\\\cdot y}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mi>y</mi>         <mo>⋅<!-- ⋅ --></mo>         <mi>y</mi>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle y\\\\cdot y}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9d08caf988ca4edd35b9dbb75955937bc1b61c02" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.99ex; height:2.009ex;" alt="{\\\\displaystyle y\\\\cdot y}"></span>) is <span class="texhtml mvar" style="font-style:italic;">x</span>. For example, 4 and −4 are square roots of 16 because <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 4^{2}=(-4)^{2}=16}">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <msup>           <mn>4</mn>           <mrow class="MJX-TeXAtom-ORD">             <mn>2</mn>           </mrow>         </msup>         <mo>=</mo>         <mo stretchy="false">(</mo>         <mo>−<!-- − --></mo>         <mn>4</mn>         <msup>           <mo stretchy="false">)</mo>           <mrow class="MJX-TeXAtom-ORD">             <mn>2</mn>           </mrow>         </msup>         <mo>=</mo>         <mn>16</mn>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle 4^{2}=(-4)^{2}=16}</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c4fe90cd19335908e3320902af69ed20c7bc0396" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:16.573ex; height:3.176ex;" alt="{\\\\displaystyle 4^{2}=(-4)^{2}=16}"></span>.  
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Square_root">https://en.wikipedia.org/wiki/Square_root</a>)"""@en ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Racine_carr%C3%A9e>, <https://en.wikipedia.org/wiki/Square_root> ;
  skos:broader psr:-HXTWXBPR-5 ;
  skos:inScheme psr: ;
  skos:related psr:-QDVMG3GZ-L .

