Definition:Null Function

Definition
Let $\mathcal N: \R \to \R$ be a real function such that:


 * $\forall x \in \R_{>0}: \displaystyle \int_0^x \map {\mathcal N} t \rd t = 0$

Then $\mathcal N$ is a null function.

Also see

 * Definition:Null Measure