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

psr: a skos:ConceptScheme .
psr:-BQTC43FX-J
  skos:prefLabel "analyse vectorielle"@fr, "vector calculus"@en ;
  a skos:Concept ;
  skos:narrower psr:-L10Q46XD-6 .

psr:-L10Q46XD-6
  skos:altLabel "Gauss's theorem"@en, "théorème de Green-Ostrogradski"@fr, "théorème de flux-divergence"@fr, "Ostrogradsky's theorem"@en ;
  skos:prefLabel "divergence theorem"@en, "théorème de la divergence"@fr ;
  skos:broader psr:-BQTC43FX-J ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Th%C3%A9or%C3%A8me_de_la_divergence>, <https://en.wikipedia.org/wiki/Divergence_theorem> ;
  a skos:Concept ;
  skos:definition """In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, is a theorem which relates the flux of a vector field through a closed surface to the divergence of the field in the volume enclosed. More precisely, the divergence theorem states that the surface integral of a vector field over a closed surface, which is called the "flux" through the surface, is equal to the volume integral of the divergence over the region inside the surface. Intuitively, it states that "the sum of all sources of the field in a region (with sinks regarded as negative sources) gives the net flux out of the region". 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Divergence_theorem">https://en.wikipedia.org/wiki/Divergence_theorem</a>)"""@en, """En analyse vectorielle, le <b>théorème de la divergence</b> (également appelé <b>théorème de Green-Ostrogradski</b> ou <b>théorème de flux-divergence</b>), affirme l'égalité entre l'intégrale de la divergence d'un champ vectoriel sur un volume dans <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 \\\\mathbb {R} ^{3}}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <msup>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi mathvariant="double-struck">R</mi>
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<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>3</mn>
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<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle \\\\mathbb {R} ^{3}}</annotation>
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<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f936ddf584f8f3dd2a0ed08917001b7a404c10b5" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.732ex; height:2.676ex;" alt="\\\\mathbb {R} ^{3}"></span> et le flux de ce champ à travers la frontière du volume (qui est une intégrale de surface). 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Th%C3%A9or%C3%A8me_de_la_divergence">https://fr.wikipedia.org/wiki/Th%C3%A9or%C3%A8me_de_la_divergence</a>)"""@fr ;
  skos:inScheme psr: .