Category:Measure with Density
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This category contains results about Measure with Density.
Definitions specific to this category can be found in Definitions/Measure with Density.
Let $\struct {X, \Sigma, \mu}$ be a measure space.
Let $f: X \to \overline \R_{\ge 0}$ be a positive $\mu$-measurable function.
Then the measure with density $f$ with respect to $\mu$, denoted $f \mu$, is defined by:
- $\map {f \mu} E := \ds \int_E f \rd \mu$
where $\ds \int_E f \rd \mu$ is the $\mu$-integral of $f$ over $E$.
Pages in category "Measure with Density"
This category contains only the following page.