"単位元" meaning in 日本語

See 単位元 in All languages combined, or Wiktionary

Noun

Forms: たんいげん
  1. ある二項演算が定義された集合において、集合の任意の元と演算しても常にその元自体が結果となるような元。二項演算 ◦ と集合 A において、任意の a ∈ A について a ◦ e = e ◦ a = a を満たすことができる e ∈ A のこと。足し算と整数の例では 0、掛け算と実数の例では 1。
    Sense id: ja-単位元-ja-noun-eSSxPxPw Categories (other): 日本語 代数学 Topics: algebra
The following are not (yet) sense-disambiguated
Hyponyms: ゼロベクトル
Categories (other): 日本語, 日本語_名詞
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      "glosses": [
        "ある二項演算が定義された集合において、集合の任意の元と演算しても常にその元自体が結果となるような元。二項演算 ◦ と集合 A において、任意の a ∈ A について a ◦ e = e ◦ a = a を満たすことができる e ∈ A のこと。足し算と整数の例では 0、掛け算と実数の例では 1。"
      ],
      "id": "ja-単位元-ja-noun-eSSxPxPw",
      "topics": [
        "algebra"
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  "word": "単位元"
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        "ある二項演算が定義された集合において、集合の任意の元と演算しても常にその元自体が結果となるような元。二項演算 ◦ と集合 A において、任意の a ∈ A について a ◦ e = e ◦ a = a を満たすことができる e ∈ A のこと。足し算と整数の例では 0、掛け算と実数の例では 1。"
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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 2025-02-08 from the jawiktionary dump dated 2025-02-02 using wiktextract (f90d964 and 9dbd323). 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.