"gyrogroup" meaning in All languages combined

See gyrogroup on Wiktionary

Noun [English]

Forms: gyrogroups [plural]
Etymology: From gyro- + group. Etymology templates: {{prefix|en|gyro|group}} gyro- + group Head templates: {{en-noun}} gyrogroup (plural gyrogroups)
  1. (mathematics) A groupoid whose binary operation satisfies certain axioms, used with gyrovectors. Wikipedia link: gyrogroup Categories (topical): Mathematics

Inflected forms

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "gyro",
        "3": "group"
      },
      "expansion": "gyro- + group",
      "name": "prefix"
    }
  ],
  "etymology_text": "From gyro- + group.",
  "forms": [
    {
      "form": "gyrogroups",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "gyrogroup (plural gyrogroups)",
      "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 gyro-",
          "parents": [],
          "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": "Non-Euclidean geometry",
          "orig": "en:Non-Euclidean geometry",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "A groupoid whose binary operation satisfies certain axioms, used with gyrovectors."
      ],
      "id": "en-gyrogroup-en-noun-2uFnzBGP",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "groupoid",
          "groupoid"
        ],
        [
          "binary",
          "binary"
        ],
        [
          "operation",
          "operation"
        ],
        [
          "axiom",
          "axiom"
        ],
        [
          "gyrovector",
          "gyrovector"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A groupoid whose binary operation satisfies certain axioms, used with gyrovectors."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "gyrogroup"
      ]
    }
  ],
  "word": "gyrogroup"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "gyro",
        "3": "group"
      },
      "expansion": "gyro- + group",
      "name": "prefix"
    }
  ],
  "etymology_text": "From gyro- + group.",
  "forms": [
    {
      "form": "gyrogroups",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "gyrogroup (plural gyrogroups)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English 3-syllable words",
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms prefixed with gyro-",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics",
        "en:Non-Euclidean geometry"
      ],
      "glosses": [
        "A groupoid whose binary operation satisfies certain axioms, used with gyrovectors."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "groupoid",
          "groupoid"
        ],
        [
          "binary",
          "binary"
        ],
        [
          "operation",
          "operation"
        ],
        [
          "axiom",
          "axiom"
        ],
        [
          "gyrovector",
          "gyrovector"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A groupoid whose binary operation satisfies certain axioms, used with gyrovectors."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "gyrogroup"
      ]
    }
  ],
  "word": "gyrogroup"
}

Download raw JSONL data for gyrogroup meaning in All languages combined (1.1kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-01 from the enwiktionary dump dated 2024-10-02 using wiktextract (d49d402 and a5af179). 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.