"交換法則" meaning in All languages combined

See 交換法則 on Wiktionary

Noun [日本語]

Forms: こうかんほうそく
  1. 二項演算に入力される要素の順番を入れ替えても結果が変わらないこと。二項演算を ◦ とし、◦ が定義された集合 A の2要素を a, b とすると、a ◦ b = b ◦ a を満たすこと。通常の足し算と掛け算はこの性質を持ち、通常の引き算と割り算はこの性質を持たない。交換律、可換律。
    Sense id: ja-交換法則-ja-noun-NNOpNSbq Categories (other): 日本語 代数学 Topics: algebra
The following are not (yet) sense-disambiguated
Related terms: 結合法則, 分配法則
Categories (other): 日本語, 日本語_名詞
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  "categories": [
    {
      "kind": "other",
      "name": "日本語",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "日本語_名詞",
      "parents": [],
      "source": "w"
    }
  ],
  "forms": [
    {
      "form": "こうかんほうそく"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "related": [
    {
      "word": "結合法則"
    },
    {
      "word": "分配法則"
    }
  ],
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "日本語 代数学",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "二項演算に入力される要素の順番を入れ替えても結果が変わらないこと。二項演算を ◦ とし、◦ が定義された集合 A の2要素を a, b とすると、a ◦ b = b ◦ a を満たすこと。通常の足し算と掛け算はこの性質を持ち、通常の引き算と割り算はこの性質を持たない。交換律、可換律。"
      ],
      "id": "ja-交換法則-ja-noun-NNOpNSbq",
      "topics": [
        "algebra"
      ]
    }
  ],
  "word": "交換法則"
}
{
  "categories": [
    "日本語",
    "日本語_名詞"
  ],
  "forms": [
    {
      "form": "こうかんほうそく"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "related": [
    {
      "word": "結合法則"
    },
    {
      "word": "分配法則"
    }
  ],
  "senses": [
    {
      "categories": [
        "日本語 代数学"
      ],
      "glosses": [
        "二項演算に入力される要素の順番を入れ替えても結果が変わらないこと。二項演算を ◦ とし、◦ が定義された集合 A の2要素を a, b とすると、a ◦ b = b ◦ a を満たすこと。通常の足し算と掛け算はこの性質を持ち、通常の引き算と割り算はこの性質を持たない。交換律、可換律。"
      ],
      "topics": [
        "algebra"
      ]
    }
  ],
  "word": "交換法則"
}

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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 2025-01-27 from the jawiktionary dump dated 2025-01-20 using wiktextract (c7bdf0e and 5c11237). 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.