"全射" meaning in All languages combined

See 全射 on Wiktionary

Noun [日本語]

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"
}

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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 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.

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