"Cayley-Dickson construction" meaning in All languages combined

See Cayley-Dickson construction on Wiktionary

Proper name [English]

Etymology: Named after Arthur Cayley and Leonard Eugene Dickson. Head templates: {{en-proper noun}} Cayley-Dickson construction
  1. (mathematics) A construction that produces a sequence of Cayley-Dickson algebras: algebras over the field of real numbers, each with twice the dimension of the previous one. Wikipedia link: Cayley-Dickson construction Categories (topical): Mathematics

Download JSON data for Cayley-Dickson construction meaning in All languages combined (1.7kB)

{
  "etymology_text": "Named after Arthur Cayley and Leonard Eugene Dickson.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Cayley-Dickson construction",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A construction that produces a sequence of Cayley-Dickson algebras: algebras over the field of real numbers, each with twice the dimension of the previous one."
      ],
      "id": "en-Cayley-Dickson_construction-en-name-ZQGVDrEa",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "sequence",
          "sequence"
        ],
        [
          "Cayley-Dickson algebra",
          "Cayley-Dickson algebra"
        ],
        [
          "algebra",
          "algebra"
        ],
        [
          "field",
          "field"
        ],
        [
          "real number",
          "real number"
        ],
        [
          "dimension",
          "dimension"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A construction that produces a sequence of Cayley-Dickson algebras: algebras over the field of real numbers, each with twice the dimension of the previous one."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Cayley-Dickson construction"
      ]
    }
  ],
  "word": "Cayley-Dickson construction"
}
{
  "etymology_text": "Named after Arthur Cayley and Leonard Eugene Dickson.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Cayley-Dickson construction",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        "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 construction that produces a sequence of Cayley-Dickson algebras: algebras over the field of real numbers, each with twice the dimension of the previous one."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "sequence",
          "sequence"
        ],
        [
          "Cayley-Dickson algebra",
          "Cayley-Dickson algebra"
        ],
        [
          "algebra",
          "algebra"
        ],
        [
          "field",
          "field"
        ],
        [
          "real number",
          "real number"
        ],
        [
          "dimension",
          "dimension"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A construction that produces a sequence of Cayley-Dickson algebras: algebras over the field of real numbers, each with twice the dimension of the previous one."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Cayley-Dickson construction"
      ]
    }
  ],
  "word": "Cayley-Dickson construction"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-12 from the enwiktionary dump dated 2024-05-02 using wiktextract (ae36afe and 304864d). 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.