"同値関係" meaning in 日本語

See 同値関係 in All languages combined, or Wiktionary

Noun

Forms: どうちかんけい
  1. 反射律、対称律、推移律を満たす二項関係。二項関係を R とすると、任意の a は a R a を満たし、もし a R b ならば b R a を満たし、もし a R b かつ b R c ならば a R c を満たす関係。
    Sense id: ja-同値関係-ja-noun-u6eZPtuV Categories (other): 日本語 数学 Topics: mathematics
The following are not (yet) sense-disambiguated
Categories (other): 日本語, 日本語_名詞
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    {
      "kind": "other",
      "name": "日本語",
      "parents": [],
      "source": "w"
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    {
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      "name": "日本語_名詞",
      "parents": [],
      "source": "w"
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  "forms": [
    {
      "form": "どうちかんけい"
    }
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  "lang": "日本語",
  "lang_code": "ja",
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      "categories": [
        {
          "kind": "other",
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          "parents": [],
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      ],
      "glosses": [
        "反射律、対称律、推移律を満たす二項関係。二項関係を R とすると、任意の a は a R a を満たし、もし a R b ならば b R a を満たし、もし a R b かつ b R c ならば a R c を満たす関係。"
      ],
      "id": "ja-同値関係-ja-noun-u6eZPtuV",
      "topics": [
        "mathematics"
      ]
    }
  ],
  "word": "同値関係"
}
{
  "categories": [
    "日本語",
    "日本語_名詞"
  ],
  "forms": [
    {
      "form": "どうちかんけい"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "senses": [
    {
      "categories": [
        "日本語 数学"
      ],
      "glosses": [
        "反射律、対称律、推移律を満たす二項関係。二項関係を R とすると、任意の a は a R a を満たし、もし a R b ならば b R a を満たし、もし a R b かつ b R c ならば a R c を満たす関係。"
      ],
      "topics": [
        "mathematics"
      ]
    }
  ],
  "word": "同値関係"
}

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This page is a part of the kaikki.org machine-readable 日本語 dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the jawiktionary dump dated 2024-10-20 using wiktextract (fbeafe8 and 7f03c9b). 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.