{
  "aliases": [
    "linear-functional",
    "covector"
  ],
  "backlinks": [
    {
      "field": "defines",
      "target": "0RT96J4D3H"
    },
    {
      "field": "uses",
      "target": "64F9VMG27D"
    },
    {
      "field": "uses",
      "target": "9TPS3W497D"
    },
    {
      "field": "uses",
      "target": "BVMH4AKV9F"
    },
    {
      "field": "uses",
      "target": "D1TK8AHMCM"
    },
    {
      "field": "uses",
      "target": "DWFPDF8XTB"
    },
    {
      "field": "uses",
      "target": "EHEZM8TXHJ"
    },
    {
      "field": "uses",
      "target": "FEXZC8XKN1"
    },
    {
      "field": "uses",
      "target": "QB5AE3VYZZ"
    },
    {
      "field": "uses",
      "target": "TTC40N49M6"
    },
    {
      "field": "uses",
      "target": "X2CS9SP1DZ"
    },
    {
      "field": "about",
      "target": "9TPS3W497D"
    },
    {
      "field": "about",
      "target": "FEXZC8XKN1"
    },
    {
      "field": "about",
      "target": "QB5AE3VYZZ"
    }
  ],
  "body": "\n## Summary\n\nA linear form on a vector space is a linear map from the space to its field of scalars.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "aliases": [
      "linear-functional",
      "covector"
    ],
    "kind": "concept",
    "msc": [
      "15A04"
    ],
    "name": "Linear form",
    "same_as": {
      "wikidata": "Q261527",
      "wikipedia": "Linear form"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Linear_form"
      }
    ],
    "specializes": [
      "0NRYHJPQG2"
    ],
    "tag": "07YQ1C78G0"
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/07YQ1C78G0/",
  "links": [
    {
      "field": "specializes",
      "target": "0NRYHJPQG2"
    }
  ],
  "markdown": "https://tamnd.github.io/math2/node/07YQ1C78G0.md",
  "msc": [
    "15A04"
  ],
  "name": "Linear form",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/07Y/07YQ1C78G0.md",
  "status": null,
  "tag": "07YQ1C78G0",
  "uri": "m2://07YQ1C78G0",
  "url": "https://tamnd.github.io/math2/wiki/linear-form/",
  "writing": {
    "tag": "07YQ1C78G0",
    "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
      }
    ]
  }
}
