@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:-RMSGDZWM-G
  skos:prefLabel "fractale"@fr, "fractal"@en ;
  a skos:Concept ;
  skos:narrower psr:-MJBMXT00-W .

psr:-MJBMXT00-W
  skos:exactMatch <https://fr.wikipedia.org/wiki/Escalier_de_Cantor>, <https://en.wikipedia.org/wiki/Cantor_function> ;
  skos:definition """In mathematics, the Cantor function is an example of a function that is continuous, but not absolutely continuous. It is a notorious counterexample in analysis, because it challenges naive intuitions about continuity, derivative, and measure. Though it is continuous everywhere and has zero derivative almost everywhere, its value still goes from 0 to 1 as its argument reaches from 0 to 1. Thus, in one sense the function seems very much like a constant one which cannot grow, and in another, it does indeed monotonically grow. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Cantor_function">https://en.wikipedia.org/wiki/Cantor_function</a>)"""@en, """L'escalier de Cantor, ou l'escalier du diable, est le graphe d'une fonction <i>f</i> continue croissante sur [0, 1], telle que <i>f</i>(0) = 0 et <i>f</i>(1) = 1, qui est dérivable presque partout, la dérivée étant presque partout nulle. Il s'agit cependant d'une fonction continue, mais pas absolument continue. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Escalier_de_Cantor">https://fr.wikipedia.org/wiki/Escalier_de_Cantor</a>)"""@fr ;
  skos:prefLabel "Cantor function"@en, "escalier de Cantor"@fr ;
  a skos:Concept ;
  dc:created "2023-07-26"^^xsd:date ;
  skos:broader psr:-RMSGDZWM-G, psr:-MDFZ99KQ-Q ;
  dc:modified "2023-07-26"^^xsd:date ;
  skos:inScheme psr: .

psr:-MDFZ99KQ-Q
  skos:prefLabel "fonction numérique"@fr, "real-valued function"@en ;
  a skos:Concept ;
  skos:narrower psr:-MJBMXT00-W .