Hamilton-Jacobi equation in English

[Show JSON for postprocessed kaikki.org data shown on this page ▼] [Hide JSON for postprocessed kaikki.org data shown on this page ▲]

{
  "etymology_text": "Named after William Rowan Hamilton and Carl Gustav Jacob Jacobi.",
  "forms": [
    {
      "form": "Hamilton-Jacobi equations",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Hamilton-Jacobi equation (plural Hamilton-Jacobi equations)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Physics",
          "orig": "en:Physics",
          "parents": [
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A mathematical formulation of classical mechanics in which the motion of a particle can be represented as a wave."
      ],
      "id": "en-Hamilton-Jacobi_equation-en-noun-xiJ9Qx6O",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "physics",
          "physics"
        ],
        [
          "mathematical",
          "mathematical"
        ],
        [
          "formulation",
          "formulation"
        ],
        [
          "classical mechanics",
          "classical mechanics"
        ],
        [
          "motion",
          "motion"
        ],
        [
          "particle",
          "particle"
        ],
        [
          "wave",
          "wave"
        ]
      ],
      "raw_glosses": [
        "(mathematics, physics) A mathematical formulation of classical mechanics in which the motion of a particle can be represented as a wave."
      ],
      "related": [
        {
          "word": "Hamilton-Jacobi-Bellman equation"
        }
      ],
      "topics": [
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "physics",
        "sciences"
      ],
      "wikipedia": [
        "Carl Gustav Jacob Jacobi",
        "William Rowan Hamilton"
      ]
    }
  ],
  "word": "Hamilton-Jacobi equation"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "etymology_text": "Named after William Rowan Hamilton and Carl Gustav Jacob Jacobi.",
  "forms": [
    {
      "form": "Hamilton-Jacobi equations",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Hamilton-Jacobi equation (plural Hamilton-Jacobi equations)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Hamilton-Jacobi-Bellman equation"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics",
        "en:Physics"
      ],
      "glosses": [
        "A mathematical formulation of classical mechanics in which the motion of a particle can be represented as a wave."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "physics",
          "physics"
        ],
        [
          "mathematical",
          "mathematical"
        ],
        [
          "formulation",
          "formulation"
        ],
        [
          "classical mechanics",
          "classical mechanics"
        ],
        [
          "motion",
          "motion"
        ],
        [
          "particle",
          "particle"
        ],
        [
          "wave",
          "wave"
        ]
      ],
      "raw_glosses": [
        "(mathematics, physics) A mathematical formulation of classical mechanics in which the motion of a particle can be represented as a wave."
      ],
      "topics": [
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "physics",
        "sciences"
      ],
      "wikipedia": [
        "Carl Gustav Jacob Jacobi",
        "William Rowan Hamilton"
      ]
    }
  ],
  "word": "Hamilton-Jacobi equation"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.

"Hamilton-Jacobi equation" meaning in English

Noun