Definition:Additive Function


 * Analysis:
 * Additive Function (Conventional Definition): $\map f {x + y} = \map f x + \map f y$


 * Definition:Number Theory:
 * Definition:Additive Arithmetic Function
 * Definition:Additive Function on UFD
 * Definition:Completely Additive Function

In measure theory, the concept has a completely different meaning:


 * Additive Function (Measure Theory): $A \cap B = \O \implies \map f {A \cup B} = \map f A + \map f B$
 * In this context, also see Sigma-Additive Function.

Also see

 * Definition:Additive
 * Definition:Multiplicative Function