@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:-HRDJBSVG-M
  dc:modified "2024-10-18"^^xsd:date ;
  skos:inScheme psr: ;
  skos:broader psr:-WX8H0134-J, psr:-Z1B19BG4-0 ;
  a skos:Concept ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Normal_number>, <https://fr.wikipedia.org/wiki/Nombre_normal> ;
  skos:prefLabel "nombre normal"@fr, "normal number"@en ;
  skos:definition """In mathematics, a real number is said to be <b>simply normal</b> in an integer base <var>b</var> if its infinite sequence of digits is distributed uniformly in the sense that each of the <var>b</var> digit values has the same natural density 1/<var>b</var>. A number is said to be <b>normal in base <var>b</var></b> if, for every positive integer <var>n</var>, all possible strings <var>n</var> digits long have density <var>b</var><sup>−<i>n</i></sup>. Intuitively, a number being simply normal means that no digit occurs more frequently than any other. If a number is normal, no finite combination of digits of a given length occurs more frequently than any other combination of the same length. A normal number can be thought of as an infinite sequence of coin flips (binary) or rolls of a die (base 6). Even though there <i>will</i> be sequences such as 10, 100, or more consecutive tails (binary) or fives (base 6) or even 10, 100, or more repetitions of a sequence such as tail-head (two consecutive coin flips) or 6-1 (two consecutive rolls of a die), there will also be equally many of any other sequence of equal length. No digit or sequence is "favored".  A number is said to be <b>normal</b> (sometimes called <b>absolutely normal</b>) if it is normal in all integer bases greater than or equal to 2. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Normal_number">https://en.wikipedia.org/wiki/Normal_number</a>)"""@en, """En mathématiques, un nombre normal en base 10 est un nombre réel tel que dans la suite de ses décimales, toute suite finie de décimales consécutives (ou séquence) apparaît avec la même fréquence limite que n'importe laquelle des séquences de même longueur. Par exemple, la séquence 1789 y apparaît avec une fréquence limite 1/10 000. Émile Borel les a ainsi nommés lors de sa démonstration du fait que presque tout réel possède cette propriété. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Nombre_normal">https://fr.wikipedia.org/wiki/Nombre_normal</a>)"""@fr ;
  dc:created "2023-08-30"^^xsd:date .

psr:-WX8H0134-J
  skos:prefLabel "nombre irrationnel"@fr, "irrational number"@en ;
  a skos:Concept ;
  skos:narrower psr:-HRDJBSVG-M .

psr:-Z1B19BG4-0
  skos:prefLabel "approximation diophantienne"@fr, "Diophantine approximation"@en ;
  a skos:Concept ;
  skos:narrower psr:-HRDJBSVG-M .