{
  "annotation_id": "8eb33b6f-4ad0-49e0-8fbd-70b9d8f14765",
  "date_created": "2026-03-02T18:01:07.890000Z",
  "date_modified": "2026-03-02T18:01:07.890000Z",
  "file_hash": "4beb68b032b786a7a72aefbdfa2b6db04b0e04c33615e53a1f47f6bacda968f1",
  "private": false,
  "record": {
    "abstract": "The traditional method of finding the average value of a physical quantity\noften gives wrong results. Another formula of averaging is derived which gives\ncorrect results. It is applied to calculation of the average radius of tapering\ntube and the average flow velocity in the tube. The new formula is applicable\nto many other processes.",
    "arxiv_id": "physics/0603187",
    "authors": [
      "I. A. Stepanow"
    ],
    "categories": [
      "physics.gen-ph",
      "physics.flu-dyn"
    ],
    "title": "A New Formula of Averaging Physical Quantities (Application to   calculation of the average radius of tapering tube and average flow velocity   in the tube)",
    "url": "https://arxiv.org/abs/physics/0603187"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "20e4d511-ba04-4f38-b614-5e962abbbff7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}