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

psr: a skos:ConceptScheme .
psr:-L0RZ0DVC-5
  skos:exactMatch <https://fr.wikipedia.org/wiki/R%C3%A9sidu_(analyse_complexe)>, <https://en.wikipedia.org/wiki/Residue_(complex_analysis)> ;
  skos:prefLabel "residue"@en, "résidu"@fr ;
  skos:related psr:-ST0RJ5D8-4 ;
  skos:definition """En analyse complexe, le résidu est un nombre complexe qui décrit le comportement de l'intégrale curviligne d'une fonction holomorphe aux alentours d'une singularité. Les résidus se calculent assez facilement et, une fois connus, permettent de calculer des intégrales curvilignes plus compliquées grâce au théorème des résidus. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/R%C3%A9sidu_(analyse_complexe)">https://fr.wikipedia.org/wiki/R%C3%A9sidu_(analyse_complexe)</a>)"""@fr, """In mathematics, more specifically complex analysis, the <b>residue</b> is a complex number proportional to the contour integral of a meromorphic function along a path enclosing one of its singularities. (More generally, residues can be calculated for any function <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\\\\colon \\\\mathbb {C} \\\\setminus \\\\{a_{k}\\\\}_{k}\\
ightarrow \\\\mathbb {C} }">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <mi>f</mi>
<br/>        <mo>:<!-- : --></mo>
<br/>        <mrow class="MJX-TeXAtom-ORD">
<br/>          <mi mathvariant="double-struck">C</mi>
<br/>        </mrow>
<br/>        <mo class="MJX-variant">∖<!-- ∖ --></mo>
<br/>        <mo fence="false" stretchy="false">{</mo>
<br/>        <msub>
<br/>          <mi>a</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>k</mi>
<br/>          </mrow>
<br/>        </msub>
<br/>        <msub>
<br/>          <mo fence="false" stretchy="false">}</mo>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>k</mi>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo stretchy="false">→<!-- → --></mo>
<br/>        <mrow class="MJX-TeXAtom-ORD">
<br/>          <mi mathvariant="double-struck">C</mi>
<br/>        </mrow>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle f\\\\colon \\\\mathbb {C} \\\\setminus \\\\{a_{k}\\\\}_{k}\\
ightarrow \\\\mathbb {C} }</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/24265b74a9fd05d00f5f9592113321eb8436f17b" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:17.21ex; height:2.843ex;" alt="{\\\\displaystyle f\\\\colon \\\\mathbb {C} \\\\setminus \\\\{a_{k}\\\\}_{k}\\
ightarrow \\\\mathbb {C} }"></span> that is holomorphic except at the discrete points {<i>a</i><sub><i>k</i></sub>}<sub><i>k</i></sub>, even if some of them are essential singularities.) Residues can be computed quite easily and, once known, allow the determination of general contour integrals via the residue theorem. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Residue_(complex_analysis)">https://en.wikipedia.org/wiki/Residue_(complex_analysis)</a>)"""@en ;
  skos:broader psr:-RN57KZJ9-9 ;
  skos:inScheme psr: ;
  a skos:Concept .

psr:-ST0RJ5D8-4
  skos:prefLabel "fonction holomorphe"@fr, "holomorphic function"@en ;
  a skos:Concept ;
  skos:related psr:-L0RZ0DVC-5 .

psr:-RN57KZJ9-9
  skos:prefLabel "analyse complexe"@fr, "complex analysis"@en ;
  a skos:Concept ;
  skos:narrower psr:-L0RZ0DVC-5 .