@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:-TW57S75P-7
  skos:exactMatch <https://en.wikipedia.org/wiki/Debye_function>, <https://fr.wikipedia.org/wiki/Fonction_de_Debye> ;
  skos:definition """In mathematics, the family of <b>Debye functions</b> is defined by
<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 D_{n}(x)={\\rac {n}{x^{n}}}\\\\int _{0}^{x}{\\rac {t^{n}}{e^{t}-1}}\\\\,dt.}">
<br/>  <semantics>
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<br/>        <msub>
<br/>          <mi>D</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</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/>            <mi>n</mi>
<br/>            <msup>
<br/>              <mi>x</mi>
<br/>              <mrow class="MJX-TeXAtom-ORD">
<br/>                <mi>n</mi>
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<br/>          </mfrac>
<br/>        </mrow>
<br/>        <msubsup>
<br/>          <mo>∫<!-- ∫ --></mo>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>0</mn>
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<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>x</mi>
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<br/>        </msubsup>
<br/>        <mrow class="MJX-TeXAtom-ORD">
<br/>          <mfrac>
<br/>            <msup>
<br/>              <mi>t</mi>
<br/>              <mrow class="MJX-TeXAtom-ORD">
<br/>                <mi>n</mi>
<br/>              </mrow>
<br/>            </msup>
<br/>            <mrow>
<br/>              <msup>
<br/>                <mi>e</mi>
<br/>                <mrow class="MJX-TeXAtom-ORD">
<br/>                  <mi>t</mi>
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<br/>              <mo>−<!-- − --></mo>
<br/>              <mn>1</mn>
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<br/>        <mspace width="thinmathspace"></mspace>
<br/>        <mi>d</mi>
<br/>        <mi>t</mi>
<br/>        <mo>.</mo>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle D_{n}(x)={\\rac {n}{x^{n}}}\\\\int _{0}^{x}{\\rac {t^{n}}{e^{t}-1}}\\\\,dt.}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f88a8da055857b55fcb6d29c7be7cb437973c6de" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -2.338ex; width:27.013ex; height:5.843ex;" alt="D_{n}(x)={\\rac  {n}{x^{n}}}\\\\int _{0}^{x}{\\rac  {t^{n}}{e^{t}-1}}\\\\,dt."></span></dd></dl>
<br/>The functions are named in honor of Peter Debye, who came across this function (with <i>n</i> = 3) in 1912 when he analytically computed the heat capacity of what is now called the Debye model. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Debye_function">https://en.wikipedia.org/wiki/Debye_function</a>)"""@en, """En mathématiques, les fonctions de Debye, du nom de Peter Debye, sont des fonctions réelles utilisées en thermodynamique, comme dans les calculs analytiques des intégrales de radiation ou des capacités thermiques de ce qu'on appelle de nos jours le modèle de Debye. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Fonction_de_Debye">https://fr.wikipedia.org/wiki/Fonction_de_Debye</a>)"""@fr ;
  skos:broader psr:-FH1H1FB9-1 ;
  skos:inScheme psr: ;
  skos:prefLabel "Debye function"@en, "fonction de Debye"@fr ;
  a skos:Concept ;
  dc:created "2023-08-16"^^xsd:date ;
  dc:modified "2023-08-16"^^xsd:date .

psr: a skos:ConceptScheme .
psr:-FH1H1FB9-1
  skos:prefLabel "special function"@en, "fonction spéciale"@fr ;
  a skos:Concept ;
  skos:narrower psr:-TW57S75P-7 .