"全射" meaning in 日本語

See 全射 in All languages combined, or Wiktionary

Noun

Forms: ぜんしゃ
  1. 終域の全ての要素が始域の要素と対応付けされている写像。終域の各要素を像とするような一つあるいは複数の始域の要素が存在する写像。始域の集合を A とし、終域の集合を B とするとき、写像 f: A → B が全射であれば、B の任意の要素 b ∈ B に対して f(a) = b を満たす a ∈ A が存在する。
    Sense id: ja-全射-ja-noun-xhVt2NAz Categories (other): 日本語 集合論 Topics: set theory
The following are not (yet) sense-disambiguated
Related terms: 単射, 全単射 Translations: surjection (英語), surjective (英語), mapping (英語)
Categories (other): 日本語, 日本語_名詞
{
  "categories": [
    {
      "kind": "other",
      "name": "日本語",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "日本語_名詞",
      "parents": [],
      "source": "w"
    }
  ],
  "etymology_texts": [
    "全写像の略。"
  ],
  "forms": [
    {
      "form": "ぜんしゃ"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "related": [
    {
      "word": "単射"
    },
    {
      "word": "全単射"
    }
  ],
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "日本語 集合論",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "終域の全ての要素が始域の要素と対応付けされている写像。終域の各要素を像とするような一つあるいは複数の始域の要素が存在する写像。始域の集合を A とし、終域の集合を B とするとき、写像 f: A → B が全射であれば、B の任意の要素 b ∈ B に対して f(a) = b を満たす a ∈ A が存在する。"
      ],
      "id": "ja-全射-ja-noun-xhVt2NAz",
      "topics": [
        "set theory"
      ]
    }
  ],
  "translations": [
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "surjection"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "surjective"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "mapping"
    }
  ],
  "word": "全射"
}
{
  "categories": [
    "日本語",
    "日本語_名詞"
  ],
  "etymology_texts": [
    "全写像の略。"
  ],
  "forms": [
    {
      "form": "ぜんしゃ"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "related": [
    {
      "word": "単射"
    },
    {
      "word": "全単射"
    }
  ],
  "senses": [
    {
      "categories": [
        "日本語 集合論"
      ],
      "glosses": [
        "終域の全ての要素が始域の要素と対応付けされている写像。終域の各要素を像とするような一つあるいは複数の始域の要素が存在する写像。始域の集合を A とし、終域の集合を B とするとき、写像 f: A → B が全射であれば、B の任意の要素 b ∈ B に対して f(a) = b を満たす a ∈ A が存在する。"
      ],
      "topics": [
        "set theory"
      ]
    }
  ],
  "translations": [
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "surjection"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "surjective"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "mapping"
    }
  ],
  "word": "全射"
}

Download raw JSONL data for 全射 meaning in 日本語 (0.9kB)


This page is a part of the kaikki.org machine-readable 日本語 dictionary. This dictionary is based on structured data extracted on 2024-10-19 from the jawiktionary dump dated 2024-10-02 using wiktextract (eaa6b66 and a709d4b). 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.