"恒等写像" meaning in All languages combined

See 恒等写像 on Wiktionary

Noun [日本語]

Forms: こうとうしゃぞう
  1. （数学）始域と終域が同一で、入力をそのまま出力として返す写像。ある集合 X の任意の要素 x ∈ X に対して、 x ∈ X を返す写像 f: X → X。
    Sense id: ja-恒等写像-ja-noun-dkssy4JM
The following are not (yet) sense-disambiguated
Synonyms: 恒等関数, 恒等変換, 恒等置換 Related terms: 包含写像 Translations: identity (英語), identity (英語), mapping (英語)
Categories (other): 日本語, 日本語_名詞, 日本語_数学
{
  "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"
    }
  ],
  "forms": [
    {
      "form": "こうとうしゃぞう"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "related": [
    {
      "word": "包含写像"
    }
  ],
  "senses": [
    {
      "glosses": [
        "（数学）始域と終域が同一で、入力をそのまま出力として返す写像。ある集合 X の任意の要素 x ∈ X に対して、 x ∈ X を返す写像 f: X → X。"
      ],
      "id": "ja-恒等写像-ja-noun-dkssy4JM"
    }
  ],
  "synonyms": [
    {
      "word": "恒等関数"
    },
    {
      "word": "恒等変換"
    },
    {
      "word": "恒等置換"
    }
  ],
  "translations": [
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "identity"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "identity"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "mapping"
    }
  ],
  "word": "恒等写像"
}

{
  "categories": [
    "日本語",
    "日本語_名詞",
    "日本語_数学"
  ],
  "forms": [
    {
      "form": "こうとうしゃぞう"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "related": [
    {
      "word": "包含写像"
    }
  ],
  "senses": [
    {
      "glosses": [
        "（数学）始域と終域が同一で、入力をそのまま出力として返す写像。ある集合 X の任意の要素 x ∈ X に対して、 x ∈ X を返す写像 f: X → X。"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "恒等関数"
    },
    {
      "word": "恒等変換"
    },
    {
      "word": "恒等置換"
    }
  ],
  "translations": [
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "identity"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "identity"
    },
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "mapping"
    }
  ],
  "word": "恒等写像"
}

Download raw JSONL data for 恒等写像 meaning in All languages combined (0.7kB)

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.