counting measure

Let (X,𝔅) be a measurable spaceMathworldPlanetmathPlanetmath. The measureMathworldPlanetmath μ on X defined by

μ(A)={nifA has exactly n elementsotherwise.

for all A𝔅 is called the counting measure on X. Usually this is applied when X is countable, e.g. or .

Title counting measure
Canonical name CountingMeasure
Date of creation 2013-03-22 12:21:52
Last modified on 2013-03-22 12:21:52
Owner mathwizard (128)
Last modified by mathwizard (128)
Numerical id 7
Author mathwizard (128)
Entry type Definition
Classification msc 28A12
Related topic Measure