Category:Counting Measure
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This category contains results about Counting Measure.
Let $\struct {X, \Sigma}$ be a measurable space.
The counting measure (on $X$), denoted $\size {\, \cdot \,}$, is the measure defined by:
- $\size {\, \cdot \,}: \Sigma \to \overline \R, \ \size E := \begin {cases} \map \# E & : \text {$E$ is finite} \\ +\infty & : \text {$E$ is infinite} \end{cases}$
where $\overline \R$ denotes the extended real numbers, and $\#$ denotes cardinality.
Pages in category "Counting Measure"
The following 3 pages are in this category, out of 3 total.