"Rayleigh quotient" meaning in All languages combined

See Rayleigh quotient on Wiktionary

Noun [English]

Forms: Rayleigh quotients [plural]
Etymology: Named after Lord Rayleigh. Head templates: {{en-noun}} Rayleigh quotient (plural Rayleigh quotients)
  1. (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. Wikipedia link: Lord Rayleigh, Rayleigh quotient
    Sense id: en-Rayleigh_quotient-en-noun-DDtM332I Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries, Mathematics Topics: mathematics, sciences

Inflected forms

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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."
      ],
      "id": "en-Rayleigh_quotient-en-noun-DDtM332I",
      "links": [
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          "mathematics",
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        [
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        [
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        ],
        [
          "eigenvalue",
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        [
          "algorithm",
          "algorithm"
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        [
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        [
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          "quantum mechanics"
        ]
      ],
      "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"
}
{
  "etymology_text": "Named after Lord Rayleigh.",
  "forms": [
    {
      "form": "Rayleigh quotients",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "args": {},
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  "senses": [
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        "English eponyms",
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        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
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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) 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",
        "sciences"
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}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-05-27 from the enwiktionary dump dated 2025-05-20 using wiktextract (a4e883e and f1c2b61). 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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