{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "0JD5ZNW0F4"
    },
    {
      "field": "uses",
      "target": "1VVKF0Y19B"
    },
    {
      "field": "uses",
      "target": "97HMV9BT2W"
    },
    {
      "field": "uses",
      "target": "AH3G1HDB0D"
    },
    {
      "field": "uses",
      "target": "AZPKCHND9T"
    },
    {
      "field": "uses",
      "target": "B538T38WDS"
    },
    {
      "field": "uses",
      "target": "BMD7KQQA9C"
    },
    {
      "field": "uses",
      "target": "DS3W88FESM"
    },
    {
      "field": "uses",
      "target": "F4VMHVWK41"
    },
    {
      "field": "uses",
      "target": "GD8FNE3GTF"
    },
    {
      "field": "uses",
      "target": "MBMHS6FQF6"
    },
    {
      "field": "uses",
      "target": "MHSBP40HDC"
    },
    {
      "field": "uses",
      "target": "N3Z69FTQ7J"
    },
    {
      "field": "uses",
      "target": "QPMM2ZPWBW"
    },
    {
      "field": "uses",
      "target": "T01779NV3Z"
    },
    {
      "field": "uses",
      "target": "XGDJ4V44PD"
    },
    {
      "field": "uses",
      "target": "XGZ2YYCNWK"
    },
    {
      "field": "about",
      "target": "MBMHS6FQF6"
    }
  ],
  "body": "\n## Summary\n\nAn analytic function is a function that is given locally by a convergent power series. Analytic functions are smooth, but not all smooth functions are analytic. The node [[analytic function|0JD5ZNW0F4]] gives the precise definition.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "kind": "concept",
    "msc": [
      "26E05"
    ],
    "name": "Analytic function",
    "same_as": {
      "wikidata": "Q215084",
      "wikipedia": "Analytic function"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Analytic_function"
      }
    ],
    "specializes": [
      "0V33BNKZ9S"
    ],
    "tag": "081WKEDK6C"
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/081WKEDK6C/",
  "links": [
    {
      "field": "specializes",
      "target": "0V33BNKZ9S"
    }
  ],
  "markdown": "https://tamnd.github.io/math2/node/081WKEDK6C.md",
  "msc": [
    "26E05"
  ],
  "name": "Analytic function",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/081/081WKEDK6C.md",
  "status": null,
  "tag": "081WKEDK6C",
  "uri": "m2://081WKEDK6C",
  "url": "https://tamnd.github.io/math2/wiki/analytic-function/",
  "writing": {
    "tag": "081WKEDK6C",
    "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
      }
    ]
  }
}