---
tag: 0ACRGYNHSR
kind: concept
name: Dirac measure
aliases: [point-mass, unit-mass, dirac-distribution]
msc: [28A12]
sources:
  - url: https://en.wikipedia.org/wiki/Dirac_measure
    locator: lead section
same_as:
  wikidata: Q1227387
  wikipedia: Dirac measure
---

## Summary

The Dirac measure at a point $x$ gives a set the value $1$ if the set contains $x$, and the value $0$ if not.
It is the probability measure of a random quantity that always takes the value $x$. The node [[Dirac measure|099SXAG014]] gives the precise definition.