Rayleigh quotient in English

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{
  "etymology_text": "Named after Lord Rayleigh.",
  "forms": [
    {
      "form": "Rayleigh quotients",
      "tags": [
        "plural"
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  "pos": "noun",
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      "glosses": [
        "A formula used in the min-max theorem to find exact eigenvalues, and in eigenvalue algorithms to obtain an eigenvalue approximation from an eigenvector approximation; it has applications in quantum mechanics."
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      "raw_glosses": [
        "(mathematics) A formula used in the min-max theorem to find exact eigenvalues, and in eigenvalue algorithms to obtain an eigenvalue approximation from an eigenvector approximation; it has applications in quantum mechanics."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Lord Rayleigh",
        "Rayleigh quotient"
      ]
    }
  ],
  "word": "Rayleigh quotient"
}

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

{
  "etymology_text": "Named after Lord Rayleigh.",
  "forms": [
    {
      "form": "Rayleigh quotients",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Rayleigh quotient (plural Rayleigh quotients)",
      "name": "en-noun"
    }
  ],
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  "lang_code": "en",
  "pos": "noun",
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        "A formula used in the min-max theorem to find exact eigenvalues, and in eigenvalue algorithms to obtain an eigenvalue approximation from an eigenvector approximation; it has applications in quantum mechanics."
      ],
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        [
          "mathematics",
          "mathematics"
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          "formula"
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          "min-max theorem"
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          "eigenvalue"
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          "algorithm"
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        ],
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          "eigenvector"
        ],
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        "(mathematics) A formula used in the min-max theorem to find exact eigenvalues, and in eigenvalue algorithms to obtain an eigenvalue approximation from an eigenvector approximation; it has applications in quantum mechanics."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Lord Rayleigh",
        "Rayleigh quotient"
      ]
    }
  ],
  "word": "Rayleigh quotient"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-08 from the enwiktionary dump dated 2025-01-01 using wiktextract (9a96ef4 and 4ed51a5). 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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"Rayleigh quotient" meaning in English

Noun

Inflected forms