{
  "annotation_id": "72ccfd75-040d-46bc-9e98-33ab50614d43",
  "date_created": "2026-03-02T18:00:42.283000Z",
  "date_modified": "2026-03-02T18:00:42.283000Z",
  "file_hash": "4f90b04bdf8f044b47abdb397fbe11605901ab25fa555d397da583cc713ef446",
  "private": false,
  "record": {
    "abstract": "Interval calculus is a relatively new branch of mathematics. Initially\nunderstood as a set of tools to assess the quality of numerical calculations\n(rigorous control of rounding errors), it became a discipline in its own rights\ntoday. Interval methods are usefull whenever we have to deal with\nuncertainties, which can be rigorously bounded. Fuzzy sets, rough sets and\nprobability calculus can perform similar tasks, yet only the interval methods\nare able to (dis)prove, with mathematical rigor, the (non)existence of desired\nsolution(s). Known are several problems, not presented here, which cannot be\neffectively solved by any other means.\n  This paper presents basic notions and main ideas of interval calculus and two\nexamples of useful algorithms.",
    "arxiv_id": "physics/0302034",
    "authors": [
      "Marek W. Gutowski"
    ],
    "categories": [
      "physics.data-an",
      "cs.DS",
      "physics.gen-ph"
    ],
    "title": "Power and beauty of interval methods",
    "url": "https://arxiv.org/abs/physics/0302034"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e84b1c5c-8839-4ba0-8320-2ce14fc16489",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}