Sylvester's formula in English

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{
  "etymology_text": "Named after James Joseph Sylvester.",
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      "glosses": [
        "A formula that expresses an analytic function f(A) of a matrix A as a polynomial in A, in terms of the eigenvalues and eigenvectors of A."
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          "eigenvalue",
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        [
          "eigenvector",
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        ]
      ],
      "raw_glosses": [
        "(mathematics) A formula that expresses an analytic function f(A) of a matrix A as a polynomial in A, in terms of the eigenvalues and eigenvectors of A."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "James Joseph Sylvester",
        "Sylvester's formula"
      ]
    }
  ],
  "word": "Sylvester's formula"
}

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

{
  "etymology_text": "Named after James Joseph Sylvester.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Sylvester's formula",
      "name": "en-proper noun"
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  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
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        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English proper nouns",
        "English terms with non-redundant non-automated sortkeys",
        "English uncountable nouns",
        "en:Mathematics"
      ],
      "glosses": [
        "A formula that expresses an analytic function f(A) of a matrix A as a polynomial in A, in terms of the eigenvalues and eigenvectors of A."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "matrix",
          "matrix"
        ],
        [
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          "polynomial"
        ],
        [
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          "eigenvalue"
        ],
        [
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      "raw_glosses": [
        "(mathematics) A formula that expresses an analytic function f(A) of a matrix A as a polynomial in A, in terms of the eigenvalues and eigenvectors of A."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "James Joseph Sylvester",
        "Sylvester's formula"
      ]
    }
  ],
  "word": "Sylvester's formula"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-10 from the enwiktionary dump dated 2024-05-02 using wiktextract (a644e18 and edd475d). 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.

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"Sylvester's formula" meaning in English

Proper name