Relation d'equivalence cours pdf

Le parallelisme est une relation dequivalence sur lensemble des droites. Christophe bertault mathematiques en mpsi theoreme classes dequivalence dune relation dequivalence, ensemble quotient soit. Relations dequivalence et ensemble quotient les pages perso du. Soient a a, b, c, d, e lensemble des eleves et b math, info, ang, phys lensemble des cours. Relations dequivalence et ensemble quotient michael perim march 7, 2018 contents 1 rappeldesde. Pour illustrer ce cours nous considererons trois exemples. Cours en pdf sur les developpements limites tifawt cours des mathematiques 2080 exercices corriges des mathematiques algebre, analyse et geometrie interactions du lecteur. Relations d equivalence, ensembles quotients exercice e f g. Christophe bertault mathematiques en mpsi relations binaires. When several equivalence relations on a set are under discussion, the notation a r is often used to denote the equivalence class of a under r. If is an equivalence relation on x, and px is a property of elements of x, such that whenever x y, px is true if py is true, then the property p is said to be welldefined or a class invariant under the relation a frequent particular case occurs when f is a function from x to another set y. Exercices corriges relations dequivalence et relations dordre. Une relation binaire r sur un ensemble e est un sousensemble g. Relation dequivalence et classe dequivalence exercices.

Feuille 3 relations binaires sur e relations dequivalence. Relation dequivalence, relation dordre 1 relation d. Indication h correction h video 000212 2 relation dordre exercice 3 soit e. Relations d equivalence, ensembles quotients exercice. Relation dequivalence, relation dordre 1 relation dequivalence. Equivalence relations and functions october 15, 20 week 14 1 equivalence relation a relation on a set x is a subset of the cartesian product x.