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Counting measure
Formulation 0
Let $M = (X, \mathcal{F})$ be a D1108: Measurable space such that
(i) $F \subseteq X$ is a D78: Subset of $X$
The counting measure on $M$ with respect to $F$ is the D4361: Unsigned basic function \begin{equation} \mathcal{F} \to [0, \infty], \quad E \mapsto |E \cap F| \end{equation}
Child definitions
» D1703: Point measure
» D4105: Standard counting measure