"Legendre polynomial" meaning in All languages combined

See Legendre polynomial on Wiktionary

Noun [English]

Forms: Legendre polynomials [plural]
Etymology: Named after Adrien-Marie Legendre, who discovered them in 1782. Head templates: {{en-noun}} Legendre polynomial (plural Legendre polynomials)
  1. (mathematics) Any of a certain system of complete and orthogonal polynomials, with numerous mathematical properties and applications. Wikipedia link: Legendre polynomial Categories (topical): Mathematics
    Sense id: en-Legendre_polynomial-en-noun-qyxjKBsd Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries, Polynomials Topics: mathematics, sciences

Inflected forms

{
  "etymology_text": "Named after Adrien-Marie Legendre, who discovered them in 1782.",
  "forms": [
    {
      "form": "Legendre polynomials",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Legendre polynomial (plural Legendre polynomials)",
      "name": "en-noun"
    }
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  "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"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Polynomials",
          "orig": "en:Polynomials",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "Any of a certain system of complete and orthogonal polynomials, with numerous mathematical properties and applications."
      ],
      "id": "en-Legendre_polynomial-en-noun-qyxjKBsd",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "complete",
          "complete"
        ],
        [
          "orthogonal",
          "orthogonal"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any of a certain system of complete and orthogonal polynomials, with numerous mathematical properties and applications."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Legendre polynomial"
      ]
    }
  ],
  "word": "Legendre polynomial"
}
{
  "etymology_text": "Named after Adrien-Marie Legendre, who discovered them in 1782.",
  "forms": [
    {
      "form": "Legendre polynomials",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Legendre polynomial (plural Legendre polynomials)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics",
        "en:Polynomials"
      ],
      "glosses": [
        "Any of a certain system of complete and orthogonal polynomials, with numerous mathematical properties and applications."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "complete",
          "complete"
        ],
        [
          "orthogonal",
          "orthogonal"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any of a certain system of complete and orthogonal polynomials, with numerous mathematical properties and applications."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Legendre polynomial"
      ]
    }
  ],
  "word": "Legendre polynomial"
}

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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 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.