{
  "annotation_id": "4424b4fe-f257-4c9c-987c-6c4c176750d4",
  "date_created": "2026-03-02T18:01:11.458000Z",
  "date_modified": "2026-03-02T18:01:11.458000Z",
  "file_hash": "37c29ba8fc7d2e000a2fc66140cd713a24e3d660ebb0c7dd434d7100ec838ae9",
  "private": false,
  "record": {
    "abstract": "Dimensional analysis provides many simple and useful tools for various\nsituations in science. The objective of this paper is to investigate its\nrelations to functions, i.e., the dimensions for functions that yield physical\nquantities and those for the arguments of functions. In particular, it is shown\nthat there are three types of functions from a viewpoint of dimensional\nanalysis. Relationships between Planck\u0027s constant and dimensional analysis are\nalso considered.",
    "arxiv_id": "physics/0609117",
    "authors": [
      "Shinji Tanimoto"
    ],
    "categories": [
      "physics.gen-ph",
      "physics.ed-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Dimensional Analysis and Physical Laws",
    "url": "https://arxiv.org/abs/physics/0609117"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "03b6ef99-a46e-46f3-b7f4-7b54eae70bdc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}