# Definition:Additive Function

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## Disambiguation

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**Additive Function** may refer to:

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

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.