from github to this gitea

application additive.md

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+---
+alias: [ "additive", "additivité" ]
+---
+up:: [[application]]
+title:: $f(x+y) = f(x) + f(y)$
+sibling:: [[application sous-additive]]
+#maths/analyse #maths/algèbre 
+
+---
+
+> [!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|sous-additive]]