courses/01.curriculum/02.mathematic/03.niv3/10.linear-algebra/10.sets-relation-boolean-algebra/textbook.fr.md

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title : Ensembles, relations, algèbre de Boole
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!!!! 


! Nous avons besoin de faire en parallèle les mathématiques...<br>
! Il faut faire un parallèle entre les "outils mathéatiques" utiles aux physiciens
et leur présentation plus aboutie et rigoureuse en mathématique.

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## Ensembles et sous-ensembles
Sets and subsets
Conjuntos y subconjuntos

## Applications, fonctions
Binary relations, functions
Relaciones y funciones

Binary relation from a set A to a set B :  is a set of ordered pairs, (m, n),
or m and n, where m is from the set M, n is from the set N, and m is related to n by some rule.
Function f : binary relation in which each element of a set A (the domain of f) is related to exactly 
one element (its image) of an other set B. A function is a relation between two elements of
two given sets condition that for each element in the domain there's one and only one image

Relacion binario : correspondencia de elementos entre dos conjuntos.
función : relación en donde a cada elemento de un conjuto (A) le corresponde 
uno y sólo un elemento de otro conjunto (B), a cada elemento del conjunto A (el dominio) se la asigna 
un único elemento (su imagen) del conjunto B (el codominio/contradominio).

Bijection

## Relations d'équivalence

## Relations d'ordre

## Treillis

## Algèbre de Boole