{
  "annotation_id": "59f75a29-2ef6-4a0a-a9aa-cfa5be337ddd",
  "date_created": "2026-03-02T18:01:24.951000Z",
  "date_modified": "2026-03-02T18:01:24.951000Z",
  "file_hash": "30e6c2b5b5fe2ea7e3825575acebc2a84c8274060f0da594594d09a8c25fc362",
  "private": false,
  "record": {
    "abstract": "In terms of the quantitative causal principle, this paper obtains a general\nvariational principle, gives unified expressions of the general, Hamilton,\nVoss, H\\\"{o}lder, Maupertuis-Lagrange variational principles of integral style,\nthe invariant quantities of the general, Voss, H\\\"{o}lder, Maupertuis-Lagrange\nvariational principles are given, finally the Noether conservation charges of\nthe general, Voss, H\\\"{o}lder, Maupertuis-Lagrange variational principles are\ndeduced, and the intrinsic relations among the invariant quantities and the\nNoether conservation charges of the all integral variational principles are\nachieved.",
    "arxiv_id": "physics/9903015",
    "authors": [
      "Y. C. Huang",
      "Xi-Guo Lee",
      "Ming-Xue Shao"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "doi": "10.1142/S0217732306019232",
    "journal_ref": "This paper had been published in Mod. Phys. Lett. A21(2006)1107",
    "title": "Unified Expressions Of All Integral Variational Principles",
    "url": "https://arxiv.org/abs/physics/9903015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5f4412e9-c74e-404f-81ba-3b39d794c0a3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}