恒等写像 in 日本語

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) [Show more ▼] [Hide more ▲]

Categories (other): 日本語, 日本語_名詞, 日本語_数学

[Show JSON for postprocessed kaikki.org data shown on this page ▼] [Hide JSON for postprocessed kaikki.org data shown on this page ▲]

{
  "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"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "notes": [
    "恒等写像を表す記号には、id や 1 が使われる。集合 A に対する恒等写像を id_A や 1_A と表す。"
  ],
  "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"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "categories": [
    "日本語",
    "日本語_名詞",
    "日本語_数学"
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "notes": [
    "恒等写像を表す記号には、id や 1 が使われる。集合 A に対する恒等写像を id_A や 1_A と表す。"
  ],
  "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"
}

This page is a part of the kaikki.org machine-readable 日本語 dictionary. This dictionary is based on structured data extracted on 2025-08-28 from the jawiktionary dump dated 2025-08-23 using wiktextract (ffdbfc3 and b9346a0). 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.

"恒等写像" meaning in 日本語

Noun