cours/application additive.md

alias

alias
additive additivité

up:: application title:: f(x+y) = f(x) + f(y) sibling:: application sous-additive #s/maths/analyse #s/maths/algèbre

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[!definition] Application additive Soit f une application de E \to F f est additive ssi : \forall (x, y)\in E^{2}, \quad f(x+y) = f(x) + f(y) ^definition

Propriétés

• Une application additive est toujours application sous-additive