@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:-CF9WQ8BP-X
  skos:prefLabel "Gershgorin circle theorem"@en, "théorème de Gerschgorin"@fr ;
  a skos:Concept ;
  skos:related psr:-QLX55BKX-N .

psr:-JR0BZJDR-C
  skos:prefLabel "square matrix"@en, "matrice carrée"@fr ;
  a skos:Concept ;
  skos:narrower psr:-QLX55BKX-N .

psr: a skos:ConceptScheme .
psr:-KQDNC91K-9
  skos:prefLabel "processus de Markov"@fr, "Markov process"@en ;
  a skos:Concept ;
  skos:narrower psr:-QLX55BKX-N .

psr:-QLX55BKX-N
  skos:altLabel "matrice de Markov"@fr, "substitution matrix"@en, "probability matrix"@en, "Markov matrix"@en ;
  skos:related psr:-CF9WQ8BP-X ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Matrice_stochastique>, <https://en.wikipedia.org/wiki/Stochastic_matrix> ;
  skos:definition """En mathématiques, une matrice stochastique (aussi appelée matrice de Markov) est une matrice carrée (finie ou infinie) dont chaque élément est un réel positif et dont la somme des éléments de chaque ligne vaut 1. Cela correspond, en théorie des probabilités, à la matrice de transition d'une chaîne de Markov. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Matrice_stochastique">https://fr.wikipedia.org/wiki/Matrice_stochastique</a>)"""@fr, """In mathematics, a stochastic matrix is a square matrix used to describe the transitions of a Markov chain. Each of its entries is a nonnegative real number representing a probability. It is also called a probability matrix, transition matrix, substitution matrix, or Markov matrix. The stochastic matrix was first developed by Andrey Markov at the beginning of the 20th century, and has found use throughout a wide variety of scientific fields, including probability theory, statistics, mathematical finance and linear algebra, as well as computer science and population genetics. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Stochastic_matrix">https://en.wikipedia.org/wiki/Stochastic_matrix</a>)"""@en ;
  skos:broader psr:-KQDNC91K-9, psr:-JR0BZJDR-C ;
  skos:prefLabel "stochastic matrix"@en, "matrice stochastique"@fr ;
  dc:created "2023-07-28"^^xsd:date ;
  dc:modified "2024-10-18"^^xsd:date ;
  a skos:Concept ;
  skos:inScheme psr: .