"Rayleigh quotient" meaning in English

{
  "etymology_text": "Named after Lord Rayleigh.",
  "forms": [
    {
      "form": "Rayleigh quotients",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Rayleigh quotient (plural Rayleigh quotients)",
      "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"
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        },
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
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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."
      ],
      "id": "en-Rayleigh_quotient-en-noun-DDtM332I",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "formula",
          "formula"
        ],
        [
          "min-max theorem",
          "min-max theorem"
        ],
        [
          "eigenvalue",
          "eigenvalue"
        ],
        [
          "algorithm",
          "algorithm"
        ],
        [
          "approximation",
          "approximation"
        ],
        [
          "eigenvector",
          "eigenvector"
        ],
        [
          "quantum mechanics",
          "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": [
    {
      "args": {},
      "expansion": "Rayleigh quotient (plural Rayleigh quotients)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
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        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Mathematics"
      ],
      "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."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "formula",
          "formula"
        ],
        [
          "min-max theorem",
          "min-max theorem"
        ],
        [
          "eigenvalue",
          "eigenvalue"
        ],
        [
          "algorithm",
          "algorithm"
        ],
        [
          "approximation",
          "approximation"
        ],
        [
          "eigenvector",
          "eigenvector"
        ],
        [
          "quantum mechanics",
          "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"
}