"互いに素" meaning in All languages combined

See 互いに素 on Wiktionary

Phrase [日本語]

Forms: 互(たが)いに素(そ [canonical], たが,
  1. 0ではない二つの整数が、共通の素因数を持たないこと。すなわち、二つの整数の最大公約数が 1 であるとき、これら二つの整数の関係。例えば、8と9など。既約分数の分母と分子はこの関係にある。
    Sense id: ja-互いに素-ja-phrase-G85zZK-Y Categories (other): 日本語 数論 Topics: number theory
  2. 二つの集合に共通部分がないこと。
    Sense id: ja-互いに素-ja-phrase-VX0zVom1 Categories (other): 日本語 集合論 Topics: set theory
The following are not (yet) sense-disambiguated
Related terms: 素因数, 分数, 既約分数, 約分, 公約数, 最大公約数 Translations: premiers entre eux (フランス語), 互素 (北京官話), 互質 (北京官話), 互质 (北京官話), 서로소 (朝鮮語), coprime (英語), relatively prime (英語), disjoint (英語)
Categories (other): 日本語, 日本語 成句
{
  "categories": [
    {
      "kind": "other",
      "name": "日本語",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "日本語 成句",
      "parents": [],
      "source": "w"
    }
  ],
  "forms": [
    {
      "form": "互(たが)いに素(そ",
      "tags": [
        "canonical"
      ]
    },
    {
      "form": "たが"
    },
    {
      "form": "そ"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "phrase",
  "pos_title": "成句",
  "related": [
    {
      "word": "素因数"
    },
    {
      "word": "分数"
    },
    {
      "word": "既約分数"
    },
    {
      "word": "約分"
    },
    {
      "word": "公約数"
    },
    {
      "word": "最大公約数"
    }
  ],
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "日本語 数論",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "0ではない二つの整数が、共通の素因数を持たないこと。すなわち、二つの整数の最大公約数が 1 であるとき、これら二つの整数の関係。例えば、8と9など。既約分数の分母と分子はこの関係にある。"
      ],
      "id": "ja-互いに素-ja-phrase-G85zZK-Y",
      "topics": [
        "number theory"
      ]
    },
    {
      "categories": [
        {
          "kind": "other",
          "name": "日本語 集合論",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "二つの集合に共通部分がないこと。"
      ],
      "id": "ja-互いに素-ja-phrase-VX0zVom1",
      "topics": [
        "set theory"
      ]
    }
  ],
  "tags": [
    "idiomatic"
  ],
  "translations": [
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "coprime"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "relatively prime"
    },
    {
      "lang": "フランス語",
      "lang_code": "fr",
      "word": "premiers entre eux"
    },
    {
      "lang": "朝鮮語",
      "lang_code": "ko",
      "word": "서로소"
    },
    {
      "lang": "北京官話",
      "lang_code": "cmn",
      "word": "互素"
    },
    {
      "lang": "北京官話",
      "lang_code": "cmn",
      "word": "互質"
    },
    {
      "lang": "北京官話",
      "lang_code": "cmn",
      "word": "互质"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "disjoint"
    }
  ],
  "word": "互いに素"
}
{
  "categories": [
    "日本語",
    "日本語 成句"
  ],
  "forms": [
    {
      "form": "互(たが)いに素(そ",
      "tags": [
        "canonical"
      ]
    },
    {
      "form": "たが"
    },
    {
      "form": "そ"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "phrase",
  "pos_title": "成句",
  "related": [
    {
      "word": "素因数"
    },
    {
      "word": "分数"
    },
    {
      "word": "既約分数"
    },
    {
      "word": "約分"
    },
    {
      "word": "公約数"
    },
    {
      "word": "最大公約数"
    }
  ],
  "senses": [
    {
      "categories": [
        "日本語 数論"
      ],
      "glosses": [
        "0ではない二つの整数が、共通の素因数を持たないこと。すなわち、二つの整数の最大公約数が 1 であるとき、これら二つの整数の関係。例えば、8と9など。既約分数の分母と分子はこの関係にある。"
      ],
      "topics": [
        "number theory"
      ]
    },
    {
      "categories": [
        "日本語 集合論"
      ],
      "glosses": [
        "二つの集合に共通部分がないこと。"
      ],
      "topics": [
        "set theory"
      ]
    }
  ],
  "tags": [
    "idiomatic"
  ],
  "translations": [
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "coprime"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "relatively prime"
    },
    {
      "lang": "フランス語",
      "lang_code": "fr",
      "word": "premiers entre eux"
    },
    {
      "lang": "朝鮮語",
      "lang_code": "ko",
      "word": "서로소"
    },
    {
      "lang": "北京官話",
      "lang_code": "cmn",
      "word": "互素"
    },
    {
      "lang": "北京官話",
      "lang_code": "cmn",
      "word": "互質"
    },
    {
      "lang": "北京官話",
      "lang_code": "cmn",
      "word": "互质"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "disjoint"
    }
  ],
  "word": "互いに素"
}

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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 jawiktionary dump dated 2024-12-20 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.