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


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