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

psr:-PJNGWXL6-J
  skos:prefLabel "dérivée directionnelle"@fr, "directional derivative"@en ;
  a skos:Concept ;
  skos:broader psr:-BQTC43FX-J .

psr: a skos:ConceptScheme .
psr:-B5JBN5TP-C
  skos:prefLabel "Poisson's equation"@en, "équation de Poisson"@fr ;
  a skos:Concept ;
  skos:broader psr:-BQTC43FX-J .

psr:-P6BGQTWK-G
  skos:prefLabel "vector calculus identities"@en, "identités vectorielles"@fr ;
  a skos:Concept ;
  skos:broader psr:-BQTC43FX-J .

psr:-RLHKF4PS-0
  skos:prefLabel "generalized Stokes theorem"@en, "théorème de Stokes"@fr ;
  a skos:Concept ;
  skos:broader psr:-BQTC43FX-J .

psr:-N2424KC0-3
  skos:prefLabel "dérivée partielle"@fr, "partial derivative"@en ;
  a skos:Concept ;
  skos:broader psr:-BQTC43FX-J .

psr:-XJ77SGF5-S
  skos:prefLabel "Laplace's equation"@en, "équation de Laplace"@fr ;
  a skos:Concept ;
  skos:broader psr:-BQTC43FX-J .

psr:-NBDBFH2B-5
  skos:prefLabel "mathematical physics"@en, "physique mathématique"@fr ;
  a skos:Concept ;
  skos:narrower psr:-BQTC43FX-J .

psr:-ZB2D352S-S
  skos:prefLabel "gradient theorem"@en, "théorème du gradient"@fr ;
  a skos:Concept ;
  skos:broader psr:-BQTC43FX-J .

psr:-Z728BLPT-J
  skos:prefLabel "intégrale de volume"@fr, "volume integral"@en ;
  a skos:Concept ;
  skos:broader psr:-BQTC43FX-J .

psr:-SJ38NC41-Z
  skos:prefLabel "Green's identities"@en, "identités de Green"@fr ;
  a skos:Concept ;
  skos:broader psr:-BQTC43FX-J .

psr:-JL1617TJ-9
  skos:prefLabel "théorème de Helmholtz-Hodge"@fr, "Helmholtz's theorem"@en ;
  a skos:Concept ;
  skos:broader psr:-BQTC43FX-J .

psr:-M706G9WT-0
  skos:prefLabel "Chasles relation"@en, "relation de Chasles"@fr ;
  a skos:Concept ;
  skos:broader psr:-BQTC43FX-J .

psr:-BQTC43FX-J
  skos:narrower psr:-JL1617TJ-9, psr:-TDGM27BN-Z, psr:-B5JBN5TP-C, psr:-M706G9WT-0, psr:-SJ38NC41-Z, psr:-RLHKF4PS-0, psr:-WPP1XD0P-6, psr:-ZB2D352S-S, psr:-L10Q46XD-6, psr:-PJNGWXL6-J, psr:-GJ0WS6BB-B, psr:-Z728BLPT-J, psr:-P6BGQTWK-G, psr:-N2424KC0-3, psr:-BTZ6D1ST-5, psr:-XJ77SGF5-S ;
  skos:altLabel "calcul vectoriel"@fr, "vector analysis"@en ;
  skos:broader psr:-NBDBFH2B-5, psr:-V0G085HP-P, psr:-W6PNFRTC-L ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Vector_calculus>, <https://fr.wikipedia.org/wiki/Analyse_vectorielle> ;
  skos:definition """<b>Vector calculus</b>, or <b>vector analysis</b>, is  concerned with differentiation and integration of vector fields, primarily in 3-dimensional Euclidean space <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>
<br/>          </mrow>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>3</mn>
<br/>          </mrow>
<br/>        </msup>
<br/>        <mo>.</mo>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle \\\\mathbb {R} ^{3}.}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b00b2b4fd27c2cbffa02df568472f77b194a6db9" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.338ex; width:3.379ex; height:2.676ex;" alt="\\\\mathbb {R} ^{3}."></span>  The term "vector calculus" is sometimes used as a synonym for the broader subject of multivariable calculus, which spans vector calculus as well as partial differentiation and multiple integration.  Vector calculus plays an important role in differential geometry and in the study of partial differential equations.  It is used extensively in physics and engineering, especially in the description of
<br/>electromagnetic fields, gravitational fields, and fluid flow. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Vector_calculus">https://en.wikipedia.org/wiki/Vector_calculus</a>)"""@en, """L'analyse vectorielle est une branche des mathématiques qui étudie les champs de scalaires et de vecteurs suffisamment réguliers des espaces euclidiens, c'est-à-dire les applications différentiables d'un ouvert d'un espace euclidien <span class="texhtml"><i>E</i></span> à valeurs respectivement 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} }">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mrow class="MJX-TeXAtom-ORD">
         <mi mathvariant="double-struck">R</mi>
         </mrow>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle \\\\mathbb {R} }</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/786849c765da7a84dbc3cce43e96aad58a5868dc" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.678ex; height:2.176ex;" alt="\\\\mathbb {R} "></span> et dans <span class="texhtml"><i>E</i></span>. Du point de vue du mathématicien, l'analyse vectorielle est donc une branche de la géométrie différentielle. Cette dernière inclut l'analyse tensorielle qui apporte des outils plus puissants et une analyse plus concise entre autres des champs de vecteurs. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Analyse_vectorielle">https://fr.wikipedia.org/wiki/Analyse_vectorielle</a>)"""@fr ;
  skos:prefLabel "vector calculus"@en, "analyse vectorielle"@fr ;
  a skos:Concept ;
  skos:inScheme psr: .

psr:-BTZ6D1ST-5
  skos:prefLabel "vecteur"@fr, "vector"@en ;
  a skos:Concept ;
  skos:broader psr:-BQTC43FX-J .

psr:-V0G085HP-P
  skos:prefLabel "differential geometry"@en, "géométrie différentielle"@fr ;
  a skos:Concept ;
  skos:narrower psr:-BQTC43FX-J .

psr:-W6PNFRTC-L
  skos:prefLabel "calculus"@en, "calcul"@fr ;
  a skos:Concept ;
  skos:narrower psr:-BQTC43FX-J .

psr:-GJ0WS6BB-B
  skos:prefLabel "intégrale de surface"@fr, "surface integral"@en ;
  a skos:Concept ;
  skos:broader psr:-BQTC43FX-J .

psr:-TDGM27BN-Z
  skos:prefLabel "champ de vecteurs"@fr, "vector field"@en ;
  a skos:Concept ;
  skos:broader psr:-BQTC43FX-J .

psr:-WPP1XD0P-6
  skos:prefLabel "Jacobian matrix"@en, "matrice jacobienne"@fr ;
  a skos:Concept ;
  skos:broader psr:-BQTC43FX-J .

psr:-L10Q46XD-6
  skos:prefLabel "théorème de la divergence"@fr, "divergence theorem"@en ;
  a skos:Concept ;
  skos:broader psr:-BQTC43FX-J .