@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .

psr:-QG7QQCFS-L
  dc:created "2023-07-13"^^xsd:date ;
  skos:prefLabel "série de Fourier"@fr, "Fourier series"@en ;
  skos:definition """A Fourier series is an expansion of a periodic function into a sum of trigonometric functions. The Fourier series is an example of a trigonometric series, but not all trigonometric series are Fourier series. By expressing a function as a sum of sines and cosines, many problems involving the function become easier to analyze because trigonometric functions are well understood. For example, Fourier series were first used by Joseph Fourier to find solutions to the heat equation. This application is possible because the derivatives of trigonometric functions fall into simple patterns. Fourier series cannot be used to approximate arbitrary functions, because most functions have infinitely many terms in their Fourier series, and the series do not always converge. Well-behaved functions, for example smooth functions, have Fourier series that converge to the original function. The coefficients of the Fourier series are determined by integrals of the function multiplied by trigonometric functions, described in Common forms of the Fourier series below. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Fourier_series">https://en.wikipedia.org/wiki/Fourier_series</a>)"""@en, """En analyse mathématique, les séries de Fourier sont un outil fondamental dans l'étude des fonctions périodiques. C'est à partir de ce concept que s'est développée la branche des mathématiques connue sous le nom d'analyse harmonique. Un signal périodique de fréquence <i>f</i> et de forme quelconque peut être obtenu en ajoutant à une sinusoïde de fréquence <i>f</i> (fondamentale), des sinusoïdes dont les fréquences sont des multiples entiers de <i>f</i>. Ces signaux ont des amplitudes et des positions de phase appropriées. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/S%C3%A9rie_de_Fourier">https://fr.wikipedia.org/wiki/S%C3%A9rie_de_Fourier</a>)"""@fr ;
  a skos:Concept ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/S%C3%A9rie_de_Fourier>, <https://en.wikipedia.org/wiki/Fourier_series> ;
  dc:modified "2023-07-13"^^xsd:date ;
  skos:broader psr:-HX2VX066-P, psr:-B3GGSQMX-3 ;
  skos:inScheme psr: ;
  skos:related psr:-QHFL5VR5-5 .

psr:-HX2VX066-P
  skos:prefLabel "functional analysis"@en, "analyse fonctionnelle"@fr ;
  a skos:Concept ;
  skos:narrower psr:-QG7QQCFS-L .

psr: a skos:ConceptScheme .
psr:-QHFL5VR5-5
  skos:prefLabel "Parseval's identity"@en, "égalité de Parseval"@fr ;
  a skos:Concept ;
  skos:related psr:-QG7QQCFS-L .

psr:-B3GGSQMX-3
  skos:prefLabel "série"@fr, "series"@en ;
  a skos:Concept ;
  skos:narrower psr:-QG7QQCFS-L .