@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .

psr: a skos:ConceptScheme .
psr:-PTCLSBTZ-F
  skos:definition """La <b>fonction de Brillouin d'ordre J</b>, du nom du physicien Léon Brillouin, est une fonction spéciale définie par&nbsp;:
<br/>
<br/><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 B_{J}(x)={\\rac {2J+1}{2J}}\\\\mathrm {coth} \\\\left({\\rac {2J+1}{2J}}x\\
ight)-{\\rac {1}{2J}}\\\\mathrm {coth} \\\\left({\\rac {x}{2J}}\\
ight),}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <msub>
<br/>          <mi>B</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>J</mi>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo stretchy="false">(</mo>
<br/>        <mi>x</mi>
<br/>        <mo stretchy="false">)</mo>
<br/>        <mo>=</mo>
<br/>        <mrow class="MJX-TeXAtom-ORD">
<br/>          <mfrac>
<br/>            <mrow>
<br/>              <mn>2</mn>
<br/>              <mi>J</mi>
<br/>              <mo>+</mo>
<br/>              <mn>1</mn>
<br/>            </mrow>
<br/>            <mrow>
<br/>              <mn>2</mn>
<br/>              <mi>J</mi>
<br/>            </mrow>
<br/>          </mfrac>
<br/>        </mrow>
<br/>        <mrow class="MJX-TeXAtom-ORD">
<br/>          <mi mathvariant="normal">c</mi>
<br/>          <mi mathvariant="normal">o</mi>
<br/>          <mi mathvariant="normal">t</mi>
<br/>          <mi mathvariant="normal">h</mi>
<br/>        </mrow>
<br/>        <mrow>
<br/>          <mo>(</mo>
<br/>          <mrow>
<br/>            <mrow class="MJX-TeXAtom-ORD">
<br/>              <mfrac>
<br/>                <mrow>
<br/>                  <mn>2</mn>
<br/>                  <mi>J</mi>
<br/>                  <mo>+</mo>
<br/>                  <mn>1</mn>
<br/>                </mrow>
<br/>                <mrow>
<br/>                  <mn>2</mn>
<br/>                  <mi>J</mi>
<br/>                </mrow>
<br/>              </mfrac>
<br/>            </mrow>
<br/>            <mi>x</mi>
<br/>          </mrow>
<br/>          <mo>)</mo>
<br/>        </mrow>
<br/>        <mo>−<!-- − --></mo>
<br/>        <mrow class="MJX-TeXAtom-ORD">
<br/>          <mfrac>
<br/>            <mn>1</mn>
<br/>            <mrow>
<br/>              <mn>2</mn>
<br/>              <mi>J</mi>
<br/>            </mrow>
<br/>          </mfrac>
<br/>        </mrow>
<br/>        <mrow class="MJX-TeXAtom-ORD">
<br/>          <mi mathvariant="normal">c</mi>
<br/>          <mi mathvariant="normal">o</mi>
<br/>          <mi mathvariant="normal">t</mi>
<br/>          <mi mathvariant="normal">h</mi>
<br/>        </mrow>
<br/>        <mrow>
<br/>          <mo>(</mo>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mfrac>
<br/>              <mi>x</mi>
<br/>              <mrow>
<br/>                <mn>2</mn>
<br/>                <mi>J</mi>
<br/>              </mrow>
<br/>            </mfrac>
<br/>          </mrow>
<br/>          <mo>)</mo>
<br/>        </mrow>
<br/>        <mo>,</mo>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle B_{J}(x)={\\rac {2J+1}{2J}}\\\\mathrm {coth} \\\\left({\\rac {2J+1}{2J}}x\\
ight)-{\\rac {1}{2J}}\\\\mathrm {coth} \\\\left({\\rac {x}{2J}}\\
ight),}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ea368803b38f8a1110751c14946268e4909cac44" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:52.119ex; height:6.176ex;" alt="{\\\\displaystyle B_{J}(x)={\\rac {2J+1}{2J}}\\\\mathrm {coth} \\\\left({\\rac {2J+1}{2J}}x\\
ight)-{\\rac {1}{2J}}\\\\mathrm {coth} \\\\left({\\rac {x}{2J}}\\
ight),}"></span></dd></dl>
<br/>où <i>J</i> désigne le nombre quantique du moment angulaire total. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Fonction_de_Brillouin">https://fr.wikipedia.org/wiki/Fonction_de_Brillouin</a>)"""@fr ;
  a skos:Concept ;
  skos:inScheme psr: ;
  skos:broader psr:-FH1H1FB9-1 ;
  skos:prefLabel "Brillouin function"@en, "fonction de Brillouin"@fr ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Fonction_de_Brillouin> .

psr:-FH1H1FB9-1
  skos:prefLabel "special function"@en, "fonction spéciale"@fr ;
  a skos:Concept ;
  skos:narrower psr:-PTCLSBTZ-F .