"biquaternion" meaning in English

See biquaternion in All languages combined, or Wiktionary

Noun

Forms: biquaternions [plural]
Etymology: bi- + quaternion Etymology templates: {{prefix|en|bi|quaternion}} bi- + quaternion Head templates: {{en-noun}} biquaternion (plural biquaternions)
  1. (algebra) Any of the numbers w+xi+yj+zk! where w, x, y, and z are complex numbers and the elements of {1, i, j, k} multiply as in the quaternion group. Categories (topical): Algebra Derived forms: biquaternionic Translations (a hypercomplex number): biquaternion [masculine] (French), Biquaternion [feminine] (German), бикватернион (bikvaternion) [masculine] (Russian)
    Sense id: en-biquaternion-en-noun-SAd6icT~ Categories (other): English entries with incorrect language header, English terms prefixed with bi- Topics: algebra, mathematics, sciences

Inflected forms

Download JSON data for biquaternion meaning in English (1.9kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "bi",
        "3": "quaternion"
      },
      "expansion": "bi- + quaternion",
      "name": "prefix"
    }
  ],
  "etymology_text": "bi- + quaternion",
  "forms": [
    {
      "form": "biquaternions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "biquaternion (plural biquaternions)",
      "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"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with bi-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "biquaternionic"
        }
      ],
      "glosses": [
        "Any of the numbers w+xi+yj+zk! where w, x, y, and z are complex numbers and the elements of {1, i, j, k} multiply as in the quaternion group."
      ],
      "id": "en-biquaternion-en-noun-SAd6icT~",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "complex number",
          "complex number"
        ],
        [
          "element",
          "element"
        ],
        [
          "multiply",
          "multiply"
        ],
        [
          "quaternion",
          "quaternion"
        ],
        [
          "group",
          "group"
        ]
      ],
      "raw_glosses": [
        "(algebra) Any of the numbers w+xi+yj+zk! where w, x, y, and z are complex numbers and the elements of {1, i, j, k} multiply as in the quaternion group."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fr",
          "lang": "French",
          "sense": "a hypercomplex number",
          "tags": [
            "masculine"
          ],
          "word": "biquaternion"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "a hypercomplex number",
          "tags": [
            "feminine"
          ],
          "word": "Biquaternion"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "bikvaternion",
          "sense": "a hypercomplex number",
          "tags": [
            "masculine"
          ],
          "word": "бикватернион"
        }
      ]
    }
  ],
  "word": "biquaternion"
}
{
  "derived": [
    {
      "word": "biquaternionic"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "bi",
        "3": "quaternion"
      },
      "expansion": "bi- + quaternion",
      "name": "prefix"
    }
  ],
  "etymology_text": "bi- + quaternion",
  "forms": [
    {
      "form": "biquaternions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "biquaternion (plural biquaternions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms prefixed with bi-",
        "en:Algebra"
      ],
      "glosses": [
        "Any of the numbers w+xi+yj+zk! where w, x, y, and z are complex numbers and the elements of {1, i, j, k} multiply as in the quaternion group."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "complex number",
          "complex number"
        ],
        [
          "element",
          "element"
        ],
        [
          "multiply",
          "multiply"
        ],
        [
          "quaternion",
          "quaternion"
        ],
        [
          "group",
          "group"
        ]
      ],
      "raw_glosses": [
        "(algebra) Any of the numbers w+xi+yj+zk! where w, x, y, and z are complex numbers and the elements of {1, i, j, k} multiply as in the quaternion group."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "fr",
      "lang": "French",
      "sense": "a hypercomplex number",
      "tags": [
        "masculine"
      ],
      "word": "biquaternion"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "a hypercomplex number",
      "tags": [
        "feminine"
      ],
      "word": "Biquaternion"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "bikvaternion",
      "sense": "a hypercomplex number",
      "tags": [
        "masculine"
      ],
      "word": "бикватернион"
    }
  ],
  "word": "biquaternion"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-18 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 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.