"circle group" meaning in All languages combined

See circle group on Wiktionary

Noun [English]

Forms: circle groups [plural]
Head templates: {{en-noun}} circle group (plural circle groups)
  1. (algebra) The group of all complex numbers of unit modulus, with the group operation being complex multiplication. Wikipedia link: circle group Categories (topical): Algebra Synonyms: unitary group of degree 1, U(1) Hypernyms: Lie group
    Sense id: en-circle_group-en-noun-XCklxpnG Categories (other): English entries with incorrect language header Topics: algebra, mathematics, sciences

Inflected forms

Download JSON data for circle group meaning in All languages combined (1.2kB)

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        "The group of all complex numbers of unit modulus, with the group operation being complex multiplication."
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      "raw_glosses": [
        "(algebra) The group of all complex numbers of unit modulus, with the group operation being complex multiplication."
      ],
      "synonyms": [
        {
          "word": "unitary group of degree 1"
        },
        {
          "word": "U(1)"
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        "(algebra) The group of all complex numbers of unit modulus, with the group operation being complex multiplication."
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  "word": "circle 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 2024-05-10 from the enwiktionary dump dated 2024-05-02 using wiktextract (a644e18 and edd475d). 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.