"cyclic number" meaning in All languages combined

See cyclic number on Wiktionary

Noun [English]

Forms: cyclic numbers [plural]
Head templates: {{en-noun}} cyclic number (plural cyclic numbers)
  1. (mathematics) An integer for which cyclic permutations of the digits are successive integer multiples of the number. Categories (topical): Mathematics Translations (integer for which cyclic permutations of the digits are successive integer multiples of the number): syklinen luku (Finnish), zyklische Zahl [feminine] (German), liczba kolista [feminine] (Polish)
    Sense id: en-cyclic_number-en-noun-fwO0~8kn Topics: mathematics, sciences Disambiguation of 'integer for which cyclic permutations of the digits are successive integer multiples of the number': 95 5
  2. (group theory) A natural number n such that n and φ(n) (that is, Euler's totient function) are coprime. Categories (topical): Group theory
    Sense id: en-cyclic_number-en-noun-EAHZaQyZ Categories (other): English entries with incorrect language header, Pages with 1 entry, Terms with Finnish translations, Terms with German translations, Terms with Polish translations Disambiguation of English entries with incorrect language header: 36 64 Disambiguation of Pages with 1 entry: 20 80 Disambiguation of Terms with Finnish translations: 26 74 Disambiguation of Terms with German translations: 26 74 Disambiguation of Terms with Polish translations: 30 70 Topics: group-theory, mathematics, sciences

Inflected forms

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  "forms": [
    {
      "form": "cyclic numbers",
      "tags": [
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      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cyclic number (plural cyclic numbers)",
      "name": "en-noun"
    }
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
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            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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        }
      ],
      "glosses": [
        "An integer for which cyclic permutations of the digits are successive integer multiples of the number."
      ],
      "id": "en-cyclic_number-en-noun-fwO0~8kn",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "permutation",
          "permutation"
        ],
        [
          "digit",
          "digit"
        ],
        [
          "multiple",
          "multiple"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An integer for which cyclic permutations of the digits are successive integer multiples of the number."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "95 5",
          "code": "fi",
          "lang": "Finnish",
          "sense": "integer for which cyclic permutations of the digits are successive integer multiples of the number",
          "word": "syklinen luku"
        },
        {
          "_dis1": "95 5",
          "code": "de",
          "lang": "German",
          "sense": "integer for which cyclic permutations of the digits are successive integer multiples of the number",
          "tags": [
            "feminine"
          ],
          "word": "zyklische Zahl"
        },
        {
          "_dis1": "95 5",
          "code": "pl",
          "lang": "Polish",
          "sense": "integer for which cyclic permutations of the digits are successive integer multiples of the number",
          "tags": [
            "feminine"
          ],
          "word": "liczba kolista"
        }
      ]
    },
    {
      "categories": [
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            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        },
        {
          "_dis": "36 64",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "20 80",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "26 74",
          "kind": "other",
          "name": "Terms with Finnish translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "26 74",
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "30 70",
          "kind": "other",
          "name": "Terms with Polish translations",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "A natural number n such that n and φ(n) (that is, Euler's totient function) are coprime."
      ],
      "id": "en-cyclic_number-en-noun-EAHZaQyZ",
      "links": [
        [
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          "group theory"
        ],
        [
          "natural number",
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        ],
        [
          "φ",
          "φ"
        ],
        [
          "Euler's totient function",
          "Euler's totient function"
        ],
        [
          "coprime",
          "coprime"
        ]
      ],
      "raw_glosses": [
        "(group theory) A natural number n such that n and φ(n) (that is, Euler's totient function) are coprime."
      ],
      "topics": [
        "group-theory",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cyclic number"
}
{
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    "English entries with incorrect language header",
    "English lemmas",
    "English multiword terms",
    "English nouns",
    "Pages with 1 entry",
    "Terms with Finnish translations",
    "Terms with German translations",
    "Terms with Polish translations"
  ],
  "forms": [
    {
      "form": "cyclic numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cyclic number (plural cyclic numbers)",
      "name": "en-noun"
    }
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "An integer for which cyclic permutations of the digits are successive integer multiples of the number."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "integer",
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        ],
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        ],
        [
          "digit",
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        ],
        [
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        ]
      ],
      "raw_glosses": [
        "(mathematics) An integer for which cyclic permutations of the digits are successive integer multiples of the number."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
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      ],
      "glosses": [
        "A natural number n such that n and φ(n) (that is, Euler's totient function) are coprime."
      ],
      "links": [
        [
          "group theory",
          "group theory"
        ],
        [
          "natural number",
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        ],
        [
          "φ",
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        ],
        [
          "Euler's totient function",
          "Euler's totient function"
        ],
        [
          "coprime",
          "coprime"
        ]
      ],
      "raw_glosses": [
        "(group theory) A natural number n such that n and φ(n) (that is, Euler's totient function) are coprime."
      ],
      "topics": [
        "group-theory",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "integer for which cyclic permutations of the digits are successive integer multiples of the number",
      "word": "syklinen luku"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "integer for which cyclic permutations of the digits are successive integer multiples of the number",
      "tags": [
        "feminine"
      ],
      "word": "zyklische Zahl"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "integer for which cyclic permutations of the digits are successive integer multiples of the number",
      "tags": [
        "feminine"
      ],
      "word": "liczba kolista"
    }
  ],
  "word": "cyclic number"
}

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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 2024-09-01 from the enwiktionary dump dated 2024-08-20 using wiktextract (8e41825 and f99c758). 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.