{
  "aliases": [
    "barycentre-of-weighted-points"
  ],
  "backlinks": [
    {
      "field": "uses",
      "target": "0201Q4P2B5"
    },
    {
      "field": "uses",
      "target": "06F3Y6CMG9"
    },
    {
      "field": "uses",
      "target": "0FFAE5P6R4"
    },
    {
      "field": "uses",
      "target": "0K06X9QXDX"
    },
    {
      "field": "uses",
      "target": "0TCHAS04WK"
    },
    {
      "field": "uses",
      "target": "0Y5RHNRKJZ"
    },
    {
      "field": "defines",
      "target": "06HYY6DK6X"
    }
  ],
  "body": "\n## Summary\n\nAn affine combination of points is a weighted sum of the points whose weights add up to 1. It makes sense in an [[affine space|09XNAPTJQ7]], where a sum of points with arbitrary weights does not.\n",
  "commit": "f591989ed15704e9d8755a7a5a6426d73de7a3ae",
  "front": {
    "aliases": [
      "barycentre-of-weighted-points"
    ],
    "kind": "concept",
    "msc": [
      "51N10"
    ],
    "name": "Affine combination",
    "same_as": {
      "wikidata": "Q938614",
      "wikipedia": "Affine combination"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Affine_combination"
      }
    ],
    "tag": "0KJH6SRFZK"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/0KJH6SRFZK/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/0KJH6SRFZK.md",
  "msc": [
    "51N10"
  ],
  "name": "Affine combination",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0KJ/0KJH6SRFZK.md",
  "status": null,
  "tag": "0KJH6SRFZK",
  "uri": "m2://0KJH6SRFZK",
  "url": "https://math2.tamnd.com/wiki/affine-combination/",
  "writing": {
    "tag": "0KJH6SRFZK",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      }
    ]
  }
}
