@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:-S596CTGV-V
  skos:prefLabel "produit de convolution"@fr, "convolution"@en ;
  a skos:Concept ;
  skos:broader psr:-VL4MDL0Q-G .

psr:-NTK0VJ91-X
  skos:prefLabel "Pythagorean addition"@en, "somme pythagoricienne"@fr ;
  a skos:Concept ;
  skos:broader psr:-VL4MDL0Q-G .

psr:-VL4MDL0Q-G
  skos:definition """En mathématiques, une opération binaire est une opération à deux arguments ou opérandes.
<br/>C'est le cas notamment des lois de composition interne sur un ensemble, telle que l'addition des entiers ou la composition de fonctions. Mais une opération partiellement définie comme la division ou la puissance peut également être considérée comme une opération binaire.
<br/>D'autres opérations binaires, telles que le produit cartésien, sont toujours définies mais sur des classes d'objets mathématiques qui ne peuvent se réduire à un ensemble. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Op%C3%A9ration_binaire">https://fr.wikipedia.org/wiki/Op%C3%A9ration_binaire</a>)"""@fr, """In mathematics, a binary operation or dyadic operation is a rule for combining two elements (called operands) to produce another element. More formally, a binary operation is an operation of arity two.
<br/>More specifically, a binary operation on a set is a binary operation whose two domains and the codomain are the same set. Examples include the familiar arithmetic operations of addition, subtraction, and multiplication. Other examples are readily found in different areas of mathematics, such as vector addition, matrix multiplication, and conjugation in groups.
<br/>An operation of arity two that involves several sets is sometimes also called a binary operation. For example, scalar multiplication of vector spaces takes a scalar and a vector to produce a vector, and scalar product takes two vectors to produce a scalar. Such binary operations may also be called binary functions.
<br/>Binary operations are the keystone of most structures that are studied in algebra, in particular in semigroups, monoids, groups, rings, fields, and vector spaces. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Binary_operation">https://en.wikipedia.org/wiki/Binary_operation</a>)"""@en ;
  skos:narrower psr:-FWGG9933-9, psr:-MWV39HSW-Q, psr:-BWZ74KHR-N, psr:-N2M3QNK0-Q, psr:-S596CTGV-V, psr:-NTK0VJ91-X ;
  skos:broader psr:-D02PV8F1-M ;
  skos:prefLabel "binary operation"@en, "opération binaire"@fr ;
  skos:inScheme psr: ;
  skos:altLabel "dyadic operation"@en ;
  dc:modified "2024-10-18"^^xsd:date ;
  a skos:Concept ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Binary_operation>, <https://fr.wikipedia.org/wiki/Op%C3%A9ration_binaire> .

psr:-D02PV8F1-M
  skos:prefLabel "opération"@fr, "operation"@en ;
  a skos:Concept ;
  skos:narrower psr:-VL4MDL0Q-G .

psr:-N2M3QNK0-Q
  skos:prefLabel "flexible algebra"@en, "algèbre flexible"@fr ;
  a skos:Concept ;
  skos:broader psr:-VL4MDL0Q-G .

psr:-MWV39HSW-Q
  skos:prefLabel "commutator"@en, "commutateur"@fr ;
  a skos:Concept ;
  skos:broader psr:-VL4MDL0Q-G .

psr:-BWZ74KHR-N
  skos:prefLabel "function composition"@en, "composition de fonctions"@fr ;
  a skos:Concept ;
  skos:broader psr:-VL4MDL0Q-G .

psr: a skos:ConceptScheme .
psr:-FWGG9933-9
  skos:prefLabel "crochet de Poisson"@fr, "Poisson bracket"@en ;
  a skos:Concept ;
  skos:broader psr:-VL4MDL0Q-G .