"Hamiltonian" meaning in English

See Hamiltonian in All languages combined, or Wiktionary

Adjective

Etymology: From Hamilton (“a surname”) + -ian. Etymology templates: {{m|en|Hamilton||a surname}} Hamilton (“a surname”), {{suffix|en||ian}} + -ian Head templates: {{en-adj|-}} Hamiltonian (not comparable)
  1. (mathematics) Of, attributed to or inspired by the Irish mathematician, astronomer and physicist William Rowan Hamilton (1805–1865). Tags: not-comparable Categories (topical): Mathematics, Demonyms
    Sense id: en-Hamiltonian-en-adj-nybmGNUd Disambiguation of Demonyms: 15 3 12 10 13 6 12 6 2 3 8 9 Topics: mathematics, sciences
  2. (mathematics, graph theory, of a cycle/path) That visits each vertex exactly once. Tags: not-comparable Categories (topical): Graph theory, Mathematics
    Sense id: en-Hamiltonian-en-adj-z3aCIyUJ Topics: graph-theory, mathematics, sciences
  3. (mathematics, graph theory, of a graph) Containing a Hamiltonian cycle. Tags: not-comparable Categories (topical): Graph theory, Mathematics, Demonyms Derived forms: Hamiltonian constraint, Hamiltonian cycle, Hamiltonianness, Hamiltonian path, Hamiltonian spite, hypohamiltonian, pseudohamiltonian
    Sense id: en-Hamiltonian-en-adj-1dd2zBJu Disambiguation of Demonyms: 15 3 12 10 13 6 12 6 2 3 8 9 Categories (other): English entries with incorrect language header, English entries with language name categories using raw markup, English entries with topic categories using raw markup, English terms suffixed with -ian Disambiguation of English entries with incorrect language header: 8 2 18 11 10 8 10 8 5 5 8 7 Disambiguation of English entries with language name categories using raw markup: 9 2 27 9 9 5 9 6 4 4 8 6 Disambiguation of English entries with topic categories using raw markup: 9 3 17 15 9 5 10 6 5 5 11 5 Disambiguation of English terms suffixed with -ian: 8 2 22 15 8 5 11 6 4 4 10 6 Topics: graph-theory, mathematics, sciences
  4. (historical, chiefly US, of certain fiscal policies) Advocated by American politician Alexander Hamilton (1755-1804). Tags: US, historical, not-comparable Categories (topical): Demonyms
    Sense id: en-Hamiltonian-en-adj-BQs0dCNh Disambiguation of Demonyms: 15 3 12 10 13 6 12 6 2 3 8 9 Categories (other): American English, English entries with topic categories using raw markup Disambiguation of English entries with topic categories using raw markup: 9 3 17 15 9 5 10 6 5 5 11 5
  5. Relating to James Hamilton (1769-1831), or his method of teaching languages without grammar, by a literal interlinear word-for-word translation. Tags: not-comparable Categories (topical): Demonyms
    Sense id: en-Hamiltonian-en-adj-xxlvzkU1 Disambiguation of Demonyms: 15 3 12 10 13 6 12 6 2 3 8 9
  6. Of, relating to, or in the literary style of Edmond Hamilton (1904–1977), American science fiction writer. Tags: not-comparable Categories (topical): Science fiction
    Sense id: en-Hamiltonian-en-adj-FajXJB-8 Disambiguation of Science fiction: 7 3 6 5 10 44 3 2 2 2 11 3
  7. Relating to Sir William Hamilton, 9th Baronet (1788–1856), Scottish metaphysician. Tags: not-comparable Categories (topical): Demonyms
    Sense id: en-Hamiltonian-en-adj-rwAqAPJs Disambiguation of Demonyms: 15 3 12 10 13 6 12 6 2 3 8 9 Categories (other): English entries with topic categories using raw markup Disambiguation of English entries with topic categories using raw markup: 9 3 17 15 9 5 10 6 5 5 11 5
The following are not (yet) sense-disambiguated
Etymology number: 1

Adjective

Forms: more Hamiltonian [comparative], most Hamiltonian [superlative]
Etymology: From Hamilton (“a place name”) + -ian. Etymology templates: {{m|en|Hamilton||a place name}} Hamilton (“a place name”), {{suffix|en||ian}} + -ian Head templates: {{en-adj}} Hamiltonian (comparative more Hamiltonian, superlative most Hamiltonian)
  1. Of or relating to any city named Hamilton.
    Sense id: en-Hamiltonian-en-adj-lvMIYhyM
The following are not (yet) sense-disambiguated
Etymology number: 2

Noun

Forms: Hamiltonians [plural]
Etymology: From Hamilton (“a surname”) + -ian. Etymology templates: {{m|en|Hamilton||a surname}} Hamilton (“a surname”), {{suffix|en||ian}} + -ian Head templates: {{en-noun}} Hamiltonian (plural Hamiltonians)
  1. (physics, Hamiltonian mechanics) A function (of time), denoted H, that corresponds to the total energy of the system. Categories (topical): Physics
    Sense id: en-Hamiltonian-en-noun-OpZgjptF Topics: natural-sciences, physical-sciences, physics
  2. (physics, quantum mechanics) The observable, denoted H, that corresponds to the total energy of the system. Categories (topical): Physics, Quantum mechanics
    Sense id: en-Hamiltonian-en-noun-eyhF7748 Topics: natural-sciences, physical-sciences, physics
  3. (historical, chiefly US) A member of the faction of the US government in the George Washington administration led by Alexander Hamilton. Tags: US, historical Derived forms: H, Kamiltonian
    Sense id: en-Hamiltonian-en-noun-NG92CB4M Categories (other): American English, English entries with topic categories using raw markup Disambiguation of English entries with topic categories using raw markup: 9 3 17 15 9 5 10 6 5 5 11 5
The following are not (yet) sense-disambiguated
Translations ((quantum mechanics)): Hamiltonoperator [common-gender] (Danish), هامیلتونی (hâmiltoni) (Persian), hamiltoniano [masculine] (Portuguese)
Etymology number: 1 Disambiguation of '(quantum mechanics)': 46 47 7

Noun

Forms: Hamiltonians [plural]
Etymology: From Hamilton (“a place name”) + -ian. Etymology templates: {{m|en|Hamilton||a place name}} Hamilton (“a place name”), {{suffix|en||ian}} + -ian Head templates: {{en-noun}} Hamiltonian (plural Hamiltonians)
  1. A native or inhabitant of any city named Hamilton.
    Sense id: en-Hamiltonian-en-noun-ipjGMgE0
The following are not (yet) sense-disambiguated
Etymology number: 2

Inflected forms

Alternative forms

Download JSON data for Hamiltonian meaning in English (12.2kB)

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      "args": {
        "1": "en",
        "2": "",
        "3": "ian"
      },
      "expansion": "+ -ian",
      "name": "suffix"
    }
  ],
  "etymology_text": "From Hamilton (“a place name”) + -ian.",
  "forms": [
    {
      "form": "Hamiltonians",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Hamiltonian (plural Hamiltonians)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "glosses": [
        "A native or inhabitant of any city named Hamilton."
      ],
      "id": "en-Hamiltonian-en-noun-ipjGMgE0",
      "links": [
        [
          "Hamilton",
          "Hamilton"
        ]
      ]
    }
  ],
  "wikipedia": [
    "Hamiltonian"
  ],
  "word": "Hamiltonian"
}
{
  "categories": [
    "English adjectives",
    "English countable nouns",
    "English entries with incorrect language header",
    "English entries with language name categories using raw markup",
    "English entries with topic categories using raw markup",
    "English eponyms",
    "English lemmas",
    "English nouns",
    "English terms suffixed with -ian",
    "English uncomparable adjectives",
    "en:Demonyms",
    "en:Science fiction"
  ],
  "derived": [
    {
      "word": "Hamiltonian constraint"
    },
    {
      "word": "Hamiltonian cycle"
    },
    {
      "word": "Hamiltonianness"
    },
    {
      "word": "Hamiltonian path"
    },
    {
      "word": "Hamiltonian spite"
    },
    {
      "word": "hypohamiltonian"
    },
    {
      "word": "pseudohamiltonian"
    }
  ],
  "etymology_number": 1,
  "etymology_templates": [
    {
      "args": {
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    },
    {
      "args": {
        "1": "en",
        "2": "",
        "3": "ian"
      },
      "expansion": "+ -ian",
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    }
  ],
  "etymology_text": "From Hamilton (“a surname”) + -ian.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "Hamiltonian (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "Of, attributed to or inspired by the Irish mathematician, astronomer and physicist William Rowan Hamilton (1805–1865)."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Of, attributed to or inspired by the Irish mathematician, astronomer and physicist William Rowan Hamilton (1805–1865)."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Graph theory",
        "en:Mathematics"
      ],
      "glosses": [
        "That visits each vertex exactly once."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "graph theory",
          "graph theory"
        ],
        [
          "cycle",
          "cycle"
        ],
        [
          "path",
          "path"
        ],
        [
          "vertex",
          "vertex"
        ]
      ],
      "raw_glosses": [
        "(mathematics, graph theory, of a cycle/path) That visits each vertex exactly once."
      ],
      "raw_tags": [
        "of a cycle/path"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Graph theory",
        "en:Mathematics"
      ],
      "glosses": [
        "Containing a Hamiltonian cycle."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "graph theory",
          "graph theory"
        ],
        [
          "graph",
          "graph"
        ],
        [
          "Hamiltonian cycle",
          "Hamiltonian cycle"
        ]
      ],
      "raw_glosses": [
        "(mathematics, graph theory, of a graph) Containing a Hamiltonian cycle."
      ],
      "raw_tags": [
        "of a graph"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "American English",
        "English terms with historical senses"
      ],
      "glosses": [
        "Advocated by American politician Alexander Hamilton (1755-1804)."
      ],
      "raw_glosses": [
        "(historical, chiefly US, of certain fiscal policies) Advocated by American politician Alexander Hamilton (1755-1804)."
      ],
      "raw_tags": [
        "of certain fiscal policies"
      ],
      "tags": [
        "US",
        "historical",
        "not-comparable"
      ]
    },
    {
      "glosses": [
        "Relating to James Hamilton (1769-1831), or his method of teaching languages without grammar, by a literal interlinear word-for-word translation."
      ],
      "tags": [
        "not-comparable"
      ]
    },
    {
      "glosses": [
        "Of, relating to, or in the literary style of Edmond Hamilton (1904–1977), American science fiction writer."
      ],
      "links": [
        [
          "literary",
          "literary"
        ],
        [
          "science fiction",
          "science fiction"
        ]
      ],
      "tags": [
        "not-comparable"
      ]
    },
    {
      "glosses": [
        "Relating to Sir William Hamilton, 9th Baronet (1788–1856), Scottish metaphysician."
      ],
      "links": [
        [
          "metaphysician",
          "metaphysician"
        ]
      ],
      "tags": [
        "not-comparable"
      ]
    }
  ],
  "wikipedia": [
    "Hamiltonian"
  ],
  "word": "Hamiltonian"
}

{
  "categories": [
    "English adjectives",
    "English countable nouns",
    "English entries with incorrect language header",
    "English entries with language name categories using raw markup",
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    "English lemmas",
    "English nouns",
    "English terms suffixed with -ian",
    "English uncomparable adjectives",
    "en:Demonyms",
    "en:Science fiction"
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  "derived": [
    {
      "word": "H"
    },
    {
      "word": "Kamiltonian"
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    {
      "args": {
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    {
      "args": {
        "1": "en",
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      },
      "expansion": "+ -ian",
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    }
  ],
  "etymology_text": "From Hamilton (“a surname”) + -ian.",
  "forms": [
    {
      "form": "Hamiltonians",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Hamiltonian (plural Hamiltonians)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Physics"
      ],
      "glosses": [
        "A function (of time), denoted H, that corresponds to the total energy of the system."
      ],
      "links": [
        [
          "physics",
          "physics"
        ],
        [
          "energy",
          "energy"
        ],
        [
          "system",
          "system"
        ]
      ],
      "qualifier": "Hamiltonian mechanics",
      "raw_glosses": [
        "(physics, Hamiltonian mechanics) A function (of time), denoted H, that corresponds to the total energy of the system."
      ],
      "topics": [
        "natural-sciences",
        "physical-sciences",
        "physics"
      ]
    },
    {
      "categories": [
        "en:Physics",
        "en:Quantum mechanics"
      ],
      "glosses": [
        "The observable, denoted H, that corresponds to the total energy of the system."
      ],
      "links": [
        [
          "physics",
          "physics"
        ],
        [
          "quantum mechanics",
          "quantum mechanics"
        ],
        [
          "observable",
          "observable"
        ],
        [
          "energy",
          "energy"
        ],
        [
          "system",
          "system"
        ]
      ],
      "qualifier": "quantum mechanics",
      "raw_glosses": [
        "(physics, quantum mechanics) The observable, denoted H, that corresponds to the total energy of the system."
      ],
      "topics": [
        "natural-sciences",
        "physical-sciences",
        "physics"
      ]
    },
    {
      "categories": [
        "American English",
        "English terms with historical senses"
      ],
      "glosses": [
        "A member of the faction of the US government in the George Washington administration led by Alexander Hamilton."
      ],
      "raw_glosses": [
        "(historical, chiefly US) A member of the faction of the US government in the George Washington administration led by Alexander Hamilton."
      ],
      "tags": [
        "US",
        "historical"
      ]
    }
  ],
  "translations": [
    {
      "code": "da",
      "lang": "Danish",
      "sense": "(quantum mechanics)",
      "tags": [
        "common-gender"
      ],
      "word": "Hamiltonoperator"
    },
    {
      "code": "fa",
      "lang": "Persian",
      "roman": "hâmiltoni",
      "sense": "(quantum mechanics)",
      "word": "هامیلتونی"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "(quantum mechanics)",
      "tags": [
        "masculine"
      ],
      "word": "hamiltoniano"
    }
  ],
  "wikipedia": [
    "Hamiltonian"
  ],
  "word": "Hamiltonian"
}

{
  "categories": [
    "English adjectives",
    "English countable nouns",
    "English entries with incorrect language header",
    "English entries with language name categories using raw markup",
    "English entries with topic categories using raw markup",
    "English eponyms",
    "English lemmas",
    "English nouns",
    "English terms suffixed with -ian",
    "en:Demonyms",
    "en:Science fiction"
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  "etymology_number": 2,
  "etymology_templates": [
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      "args": {
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    },
    {
      "args": {
        "1": "en",
        "2": "",
        "3": "ian"
      },
      "expansion": "+ -ian",
      "name": "suffix"
    }
  ],
  "etymology_text": "From Hamilton (“a place name”) + -ian.",
  "forms": [
    {
      "form": "more Hamiltonian",
      "tags": [
        "comparative"
      ]
    },
    {
      "form": "most Hamiltonian",
      "tags": [
        "superlative"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Hamiltonian (comparative more Hamiltonian, superlative most Hamiltonian)",
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    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "glosses": [
        "Of or relating to any city named Hamilton."
      ],
      "links": [
        [
          "Hamilton",
          "Hamilton"
        ]
      ]
    }
  ],
  "wikipedia": [
    "Hamiltonian"
  ],
  "word": "Hamiltonian"
}

{
  "categories": [
    "English adjectives",
    "English countable nouns",
    "English entries with incorrect language header",
    "English entries with language name categories using raw markup",
    "English entries with topic categories using raw markup",
    "English eponyms",
    "English lemmas",
    "English nouns",
    "English terms suffixed with -ian",
    "en:Demonyms",
    "en:Science fiction"
  ],
  "etymology_number": 2,
  "etymology_templates": [
    {
      "args": {
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        "2": "Hamilton",
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    },
    {
      "args": {
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        "2": "",
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      "expansion": "+ -ian",
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  ],
  "etymology_text": "From Hamilton (“a place name”) + -ian.",
  "forms": [
    {
      "form": "Hamiltonians",
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        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Hamiltonian (plural Hamiltonians)",
      "name": "en-noun"
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "glosses": [
        "A native or inhabitant of any city named Hamilton."
      ],
      "links": [
        [
          "Hamilton",
          "Hamilton"
        ]
      ]
    }
  ],
  "wikipedia": [
    "Hamiltonian"
  ],
  "word": "Hamiltonian"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-24 from the enwiktionary dump dated 2024-04-21 using wiktextract (82c8ff9 and f4967a5). 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.