"Hamilton-Jacobi equation" meaning in English

{
  "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": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "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"
}

{
  "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 entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "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"
}