"全単射" meaning in 日本語

See 全単射 in All languages combined, or Wiktionary

Noun

Forms: ぜんたんしゃ
  1. (数学)全射かつ単射である写像。双射、一対一対応ともいう。始域の全ての要素が終域の要素と重複することなく対応付けされており、終域の全ての要素が始域の要素から対応付けされている写像。写像 f: A → B が全単射であれば、B の任意の要素 b ∈ B に対して f(a) = b を満たす a ∈ A が唯一存在する。
    Sense id: ja-全単射-ja-noun-IF-nrM4~
The following are not (yet) sense-disambiguated
Related terms: 同相写像 Translations: bijection (英語), bijective (英語), mapping (英語), one-to-one (英語), correspondence (英語)
{
  "categories": [
    {
      "kind": "other",
      "name": "日本語",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "日本語_名詞",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "日本語_数学",
      "parents": [],
      "source": "w"
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  ],
  "forms": [
    {
      "form": "ぜんたんしゃ"
    }
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  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "related": [
    {
      "word": "同相写像"
    }
  ],
  "senses": [
    {
      "glosses": [
        "(数学)全射かつ単射である写像。双射、一対一対応ともいう。始域の全ての要素が終域の要素と重複することなく対応付けされており、終域の全ての要素が始域の要素から対応付けされている写像。写像 f: A → B が全単射であれば、B の任意の要素 b ∈ B に対して f(a) = b を満たす a ∈ A が唯一存在する。"
      ],
      "id": "ja-全単射-ja-noun-IF-nrM4~"
    }
  ],
  "translations": [
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "bijection"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "bijective"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "mapping"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "one-to-one"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "correspondence"
    }
  ],
  "word": "全単射"
}
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    {
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    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
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  "pos_title": "名詞",
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    {
      "word": "同相写像"
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  "senses": [
    {
      "glosses": [
        "(数学)全射かつ単射である写像。双射、一対一対応ともいう。始域の全ての要素が終域の要素と重複することなく対応付けされており、終域の全ての要素が始域の要素から対応付けされている写像。写像 f: A → B が全単射であれば、B の任意の要素 b ∈ B に対して f(a) = b を満たす a ∈ A が唯一存在する。"
      ]
    }
  ],
  "translations": [
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "bijection"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "bijective"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "mapping"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "one-to-one"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "correspondence"
    }
  ],
  "word": "全単射"
}

Download raw JSONL data for 全単射 meaning in 日本語 (1.0kB)


This page is a part of the kaikki.org machine-readable 日本語 dictionary. This dictionary is based on structured data extracted on 2024-11-28 from the jawiktionary dump dated 2024-11-21 using wiktextract (65a6e81 and 0dbea76). 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.