{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "0JRW4X1MDC"
    }
  ],
  "body": "\n## Summary\n\nLet $F$ be a function of a complex variable. Its inverse Laplace transform is a piecewise continuous function $f$ of exponential growth whose Laplace transform is $F$.\nIt can be computed by the Bromwich integral or by Post's inversion formula. See the [[definition|0JRW4X1MDC]].\n",
  "commit": "f591989ed15704e9d8755a7a5a6426d73de7a3ae",
  "front": {
    "kind": "concept",
    "msc": [
      "44A10"
    ],
    "name": "Inverse Laplace transform",
    "same_as": {
      "wikidata": "Q2162701",
      "wikipedia": "Inverse Laplace transform"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Inverse_Laplace_transform"
      }
    ],
    "tag": "07WBTX1MHA"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/07WBTX1MHA/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/07WBTX1MHA.md",
  "msc": [
    "44A10"
  ],
  "name": "Inverse Laplace transform",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/07W/07WBTX1MHA.md",
  "status": null,
  "tag": "07WBTX1MHA",
  "uri": "m2://07WBTX1MHA",
  "url": "https://math2.tamnd.com/wiki/inverse-laplace-transform/",
  "writing": {
    "tag": "07WBTX1MHA",
    "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
      }
    ]
  }
}