"affine group" meaning in All languages combined

See affine group on Wiktionary

Noun [English]

Forms: affine groups [plural]
Head templates: {{en-noun}} affine group (plural affine groups)
  1. (mathematics) The group of all affine transformations of a finite-dimensional vector space. Categories (topical): Mathematics Translations (the group of all affine transformations): affiini ryhmä (Finnish), affine Gruppe [feminine] (German), vildargrúpa [feminine] (Icelandic), grupa afiniczna [feminine] (Polish), affin grupp [common-gender] (Swedish)
    Sense id: en-affine_group-en-noun-YtLiGCAk Categories (other): English entries with incorrect language header Topics: mathematics, sciences

Inflected forms

Download JSON data for affine group meaning in All languages combined (1.7kB)

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  "forms": [
    {
      "form": "affine groups",
      "tags": [
        "plural"
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      "expansion": "affine group (plural affine groups)",
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
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      "categories": [
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          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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          "orig": "en:Mathematics",
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      "glosses": [
        "The group of all affine transformations of a finite-dimensional vector space."
      ],
      "id": "en-affine_group-en-noun-YtLiGCAk",
      "links": [
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        ],
        [
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          "finite-dimensional"
        ],
        [
          "vector space",
          "vector space"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The group of all affine transformations of a finite-dimensional vector space."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "the group of all affine transformations",
          "word": "affiini ryhmä"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "the group of all affine transformations",
          "tags": [
            "feminine"
          ],
          "word": "affine Gruppe"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "the group of all affine transformations",
          "tags": [
            "feminine"
          ],
          "word": "vildargrúpa"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "the group of all affine transformations",
          "tags": [
            "feminine"
          ],
          "word": "grupa afiniczna"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "the group of all affine transformations",
          "tags": [
            "common-gender"
          ],
          "word": "affin grupp"
        }
      ]
    }
  ],
  "word": "affine group"
}
{
  "forms": [
    {
      "form": "affine groups",
      "tags": [
        "plural"
      ]
    }
  ],
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  "senses": [
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      ],
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        "The group of all affine transformations of a finite-dimensional vector space."
      ],
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        ],
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      "raw_glosses": [
        "(mathematics) The group of all affine transformations of a finite-dimensional vector space."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "the group of all affine transformations",
      "word": "affiini ryhmä"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "the group of all affine transformations",
      "tags": [
        "feminine"
      ],
      "word": "affine Gruppe"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "the group of all affine transformations",
      "tags": [
        "feminine"
      ],
      "word": "vildargrúpa"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "the group of all affine transformations",
      "tags": [
        "feminine"
      ],
      "word": "grupa afiniczna"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "the group of all affine transformations",
      "tags": [
        "common-gender"
      ],
      "word": "affin grupp"
    }
  ],
  "word": "affine group"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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.