{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "0B1K9PVWE9"
    },
    {
      "field": "uses",
      "target": "FFR8NPWG64"
    }
  ],
  "body": "\n## Summary\n\nThe Cauchy product of two series is the series whose $n$-th term is the sum of the products $a_k b_{n-k}$. It is the discrete convolution of the two sequences of terms. The node [[Cauchy product|0B1K9PVWE9]] gives the precise definition.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "kind": "concept",
    "msc": [
      "40A05"
    ],
    "name": "Cauchy product",
    "same_as": {
      "wikidata": "Q1051404",
      "wikipedia": "Cauchy product"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Cauchy_product"
      }
    ],
    "specializes": [
      "0NM626FH6Q"
    ],
    "tag": "0RVD9R2V99"
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/0RVD9R2V99/",
  "links": [
    {
      "field": "specializes",
      "target": "0NM626FH6Q"
    }
  ],
  "markdown": "https://tamnd.github.io/math2/node/0RVD9R2V99.md",
  "msc": [
    "40A05"
  ],
  "name": "Cauchy product",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0RV/0RVD9R2V99.md",
  "status": null,
  "tag": "0RVD9R2V99",
  "uri": "m2://0RVD9R2V99",
  "url": "https://tamnd.github.io/math2/wiki/cauchy-product/",
  "writing": {
    "tag": "0RVD9R2V99",
    "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
      }
    ]
  }
}