Definition:Additive Function

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Disambiguation

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Additive Function may refer to:

• Analysis:
  • Additive Function (Algebra): $\map f {x + y} = \map f x + \map f y$

• Definition:Number Theory:
  • Definition:Additive Arithmetic Function
  • Definition:Additive Function on UFD
  • Definition:Completely Additive Function
  • Definition:Additive Function on Class of Modules

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