@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:-RCD6B9ZW-X
  skos:inScheme psr: ;
  skos:definition """En analyse complexe, un pôle d'une fonction holomorphe est un certain type de singularité isolée qui se comporte comme la singularité en <i>z</i> = 0 de la fonction <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 z\\\\in \\\\mathbb {C} ^{*}\\\\mapsto z^{-n}\\\\in \\\\mathbb {C} }">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mi>z</mi>
         <mo>∈<!-- ∈ --></mo>
         <msup>
         <mrow class="MJX-TeXAtom-ORD">
         <mi mathvariant="double-struck">C</mi>
         </mrow>
         <mrow class="MJX-TeXAtom-ORD">
         <mo>∗<!-- ∗ --></mo>
         </mrow>
         </msup>
         <mo stretchy="false">↦<!-- ↦ --></mo>
         <msup>
         <mi>z</mi>
         <mrow class="MJX-TeXAtom-ORD">
         <mo>−<!-- − --></mo>
         <mi>n</mi>
         </mrow>
         </msup>
         <mo>∈<!-- ∈ --></mo>
         <mrow class="MJX-TeXAtom-ORD">
         <mi mathvariant="double-struck">C</mi>
         </mrow>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle z\\\\in \\\\mathbb {C} ^{*}\\\\mapsto z^{-n}\\\\in \\\\mathbb {C} }</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f019e00d8a608bf41e5381342d6d0f4e0ef51725" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:18.381ex; height:2.509ex;" alt="{\\\\displaystyle z\\\\in \\\\mathbb {C} ^{*}\\\\mapsto z^{-n}\\\\in \\\\mathbb {C} }"></span>, où <i>n</i> est un entier naturel non nul. Une fonction holomorphe n'ayant que des singularités isolées qui sont des pôles est appelée une fonction méromorphe. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/P%C3%B4le_(math%C3%A9matiques)">https://fr.wikipedia.org/wiki/P%C3%B4le_(math%C3%A9matiques)</a>)"""@fr, """In complex analysis (a branch of mathematics), a pole is a certain type of singularity of a complex-valued function of a complex variable. It is the simplest type of non-removable singularity of such a function. Technically, a point <span class="texhtml"><i>z</i><sub>0</sub></span> is a pole of a function <span class="texhtml mvar" style="font-style:italic;">f</span> if it is a zero of the function <span class="texhtml">1/<i>f</i></span> and <span class="texhtml">1/<i>f</i></span> is holomorphic (i.e. complex differentiable) in some neighbourhood of <span class="texhtml"><i>z</i><sub>0</sub></span>.
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Zeros_and_poles">https://en.wikipedia.org/wiki/Zeros_and_poles</a>)"""@en ;
  skos:altLabel "zeros and poles"@en ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/P%C3%B4le_(math%C3%A9matiques)>, <https://en.wikipedia.org/wiki/Zeros_and_poles> ;
  skos:prefLabel "pôle"@fr, "pole"@en ;
  a skos:Concept ;
  dc:modified "2023-09-22"^^xsd:date ;
  skos:broader psr:-RN57KZJ9-9 .

psr:-RN57KZJ9-9
  skos:prefLabel "analyse complexe"@fr, "complex analysis"@en ;
  a skos:Concept ;
  skos:narrower psr:-RCD6B9ZW-X .