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

psr:-HX2VX066-P
  skos:prefLabel "functional analysis"@en, "analyse fonctionnelle"@fr ;
  a skos:Concept ;
  skos:narrower psr:-MG43N6FW-4 .

psr:-FQ748L6H-G
  skos:prefLabel "Laplace functional"@en, "fonctionnelle de Laplace"@fr ;
  a skos:Concept ;
  skos:broader psr:-MG43N6FW-4 .

psr: a skos:ConceptScheme .
psr:-MG43N6FW-4
  skos:narrower psr:-FQ748L6H-G ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Fonctionnelle>, <https://en.wikipedia.org/wiki/Functional_(mathematics)> ;
  skos:definition """Une fonctionnelle, en mathématiques, est une application d'un espace vectoriel — généralement un espace vectoriel de fonctions — vers son corps de scalaires. Lorsqu'une fonctionnelle est linéaire, on parle de forme linéaire. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Fonctionnelle">https://fr.wikipedia.org/wiki/Fonctionnelle</a>)"""@fr, """In mathematics, a functional is a certain type of function. The exact definition of the term varies depending on the subfield (and sometimes even the author).
         <br/>- In linear algebra, it is synonymous with a linear form, which is a linear mapping from a vector 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 V}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mi>V</mi>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle V}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/af0f6064540e84211d0ffe4dac72098adfa52845" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.787ex; height:2.176ex;" alt="V"></span> into its field of scalars (that is, it is an element of the dual 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 V^{*}}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <msup>
         <mi>V</mi>
         <mrow class="MJX-TeXAtom-ORD">
         <mo>∗<!-- ∗ --></mo>
         </mrow>
         </msup>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle V^{*}}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5910e6a94f4f7ee2ee85ceed9dacef3eff7a6242" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.971ex; height:2.343ex;" alt="V^{*}"></span>).
<br/>- In functional analysis and related fields, it refers more generally to a mapping from a space X into the field of real or complex numbers. In functional analysis, the term linear functional is a synonym of linear form; that is, it is a scalar-valued linear map. Depending on the author, such mappings may or may not be assumed to be linear, or to be defined on the whole space X.
<br/>- In computer science, it is synonymous with a higher-order function, which is a function that takes one or more functions as arguments or returns them. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Functional_(mathematics)">https://en.wikipedia.org/wiki/Functional_(mathematics)</a>)"""@en ;
  skos:inScheme psr: ;
  skos:related psr:-TRXDQ30C-Z ;
  a skos:Concept ;
  skos:prefLabel "fonctionnelle"@fr, "functional"@en ;
  skos:broader psr:-HX2VX066-P .

psr:-TRXDQ30C-Z
  skos:prefLabel "forme linéaire"@fr, "linear form"@en ;
  a skos:Concept ;
  skos:related psr:-MG43N6FW-4 .