{
  "aliases": [
    "double-riemann-integral"
  ],
  "backlinks": [
    {
      "field": "uses",
      "target": "0698M7C7AX"
    },
    {
      "field": "uses",
      "target": "0CWK2NFSEW"
    },
    {
      "field": "uses",
      "target": "0KTGJW1ZTH"
    },
    {
      "field": "uses",
      "target": "0TXCQ9CST1"
    },
    {
      "field": "uses",
      "target": "TDBBJNW91Z"
    },
    {
      "field": "defines",
      "target": "0NKBMFC18R"
    }
  ],
  "body": "\n## Summary\n\nThe double integral of a function of two variables over a region of the plane is a limit of Riemann sums. The partitions of the region into small rectangles become finer and finer.\nFor a non-negative function it is the volume of the solid between the region and the graph.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "aliases": [
      "double-riemann-integral"
    ],
    "inventory": [
      "A7M94FC5Z0"
    ],
    "kind": "concept",
    "msc": [
      "26B15"
    ],
    "name": "Double integral",
    "sources": [
      {
        "locator": "Introduction",
        "url": "https://en.wikipedia.org/wiki/Multiple_integral"
      },
      {
        "locator": "Double integral over a rectangle",
        "url": "https://en.wikipedia.org/wiki/Multiple_integral"
      }
    ],
    "tag": "0WAR4F23B4",
    "uses": [
      "0JPCHTXWG0"
    ]
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/0WAR4F23B4/",
  "links": [
    {
      "field": "uses",
      "target": "0JPCHTXWG0"
    }
  ],
  "markdown": "https://tamnd.github.io/math2/node/0WAR4F23B4.md",
  "msc": [
    "26B15"
  ],
  "name": "Double integral",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0WA/0WAR4F23B4.md",
  "status": null,
  "tag": "0WAR4F23B4",
  "uri": "m2://0WAR4F23B4",
  "url": "https://tamnd.github.io/math2/wiki/double-integral/",
  "writing": {
    "tag": "0WAR4F23B4",
    "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
      }
    ]
  }
}