{
  "aliases": [
    "point-mass",
    "unit-mass",
    "dirac-distribution"
  ],
  "backlinks": [
    {
      "field": "defines",
      "target": "099SXAG014"
    }
  ],
  "body": "\n## Summary\n\nThe Dirac measure at a point $x$ gives a set the value $1$ if the set contains $x$, and the value $0$ if not.\nIt is the probability measure of a random quantity that always takes the value $x$. The node [[Dirac measure|099SXAG014]] gives the precise definition.\n",
  "commit": "545acf83a9b75c8ddc375ef8b23d2ae101a4d7e4",
  "front": {
    "aliases": [
      "point-mass",
      "unit-mass",
      "dirac-distribution"
    ],
    "kind": "concept",
    "msc": [
      "28A12"
    ],
    "name": "Dirac measure",
    "same_as": {
      "wikidata": "Q1227387",
      "wikipedia": "Dirac measure"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Dirac_measure"
      }
    ],
    "tag": "0ACRGYNHSR"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/0ACRGYNHSR/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/0ACRGYNHSR.md",
  "msc": [
    "28A12"
  ],
  "name": "Dirac measure",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0AC/0ACRGYNHSR.md",
  "status": null,
  "tag": "0ACRGYNHSR",
  "uri": "m2://0ACRGYNHSR",
  "url": "https://math2.tamnd.com/wiki/dirac-measure/",
  "writing": {
    "tag": "0ACRGYNHSR",
    "kind": "concept",
    "level": "W1",
    "next": [
      {
        "what": "edge instance_of in",
        "note": "at least two examples",
        "have": 0,
        "want": 2
      },
      {
        "what": "edge not_instance_of in",
        "note": "at least one non-example",
        "have": 0,
        "want": 1
      },
      {
        "what": "edge specializes both",
        "note": "the more general notions and the special cases",
        "have": 0,
        "want": 1
      }
    ]
  }
}
