"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, Pages with 1 entry, Pages with entries Topics: algebra, mathematics, sciences

Inflected forms

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      ],
      "glosses": [
        "The group of all complex numbers of unit modulus, with the group operation being complex multiplication."
      ],
      "hypernyms": [
        {
          "word": "Lie group"
        }
      ],
      "id": "en-circle_group-en-noun-XCklxpnG",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "complex number",
          "complex number"
        ],
        [
          "modulus",
          "modulus"
        ]
      ],
      "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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        "mathematics",
        "sciences"
      ],
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      ]
    }
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  "word": "circle group"
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      "tags": [
        "plural"
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        "The group of all complex numbers of unit modulus, with the group operation being complex multiplication."
      ],
      "links": [
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        ]
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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": "unitary group of degree 1"
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    {
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  ],
  "word": "circle group"
}

Download raw JSONL data for circle group meaning in All languages combined (1.0kB)

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  "path": [
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  "section": "English",
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  "title": "circle group",
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.