{
  "aliases": null,
  "backlinks": [
    {
      "field": "uses",
      "target": "4Q1CK359NB"
    },
    {
      "field": "uses",
      "target": "762Y2NYA7W"
    },
    {
      "field": "uses",
      "target": "C3CKZAZ57Z"
    },
    {
      "field": "uses",
      "target": "CW5CEF84T2"
    },
    {
      "field": "uses",
      "target": "FR210Q35CB"
    },
    {
      "field": "uses",
      "target": "N0K0YWPQN6"
    },
    {
      "field": "uses",
      "target": "Q3Y1HBD8NN"
    },
    {
      "field": "uses",
      "target": "TVYJPBHD0S"
    },
    {
      "field": "defines",
      "target": "55RNFNN39R"
    }
  ],
  "body": "\n## Summary\n\nA finite measure is a measure that gives the whole space a finite value.\nEvery measurable set then has finite measure.\nProbability measures are the finite measures of total mass $1$, and every nonzero finite measure is a multiple of a probability measure.\n\n## Explanations\n\n### L1 human\n\nA finite measure is a way of measuring in which the total amount is finite.\nLength on the interval $[0, 1]$ is a finite measure, with total $1$.\nLength on the whole real line is not, since the line is infinitely long.\nDividing a nonzero finite measure by its total gives a probability measure.\n",
  "commit": "547b6eddb8f2feb8d579f2d633d22a27b7e132fc",
  "front": {
    "kind": "concept",
    "msc": [
      "28A12"
    ],
    "name": "Finite measure",
    "same_as": {
      "wikidata": "Q3307145",
      "wikipedia": "Finite measure"
    },
    "sources": [
      {
        "url": "https://en.wikipedia.org/wiki/Finite_measure"
      }
    ],
    "specializes": [
      "PR11BZQQPG"
    ],
    "tag": "63Z1Q4FS23"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/63Z1Q4FS23/",
  "links": [
    {
      "field": "specializes",
      "target": "PR11BZQQPG"
    }
  ],
  "markdown": "https://math2.tamnd.com/node/63Z1Q4FS23.md",
  "msc": [
    "28A12"
  ],
  "name": "Finite measure",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/63Z/63Z1Q4FS23.md",
  "status": null,
  "tag": "63Z1Q4FS23",
  "uri": "m2://63Z1Q4FS23",
  "url": "https://math2.tamnd.com/wiki/finite-measure/",
  "writing": {
    "tag": "63Z1Q4FS23",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "a source with a locator",
        "have": 0,
        "want": 1
      }
    ]
  }
}
