"部分集合" meaning in All languages combined

See 部分集合 on Wiktionary

Noun [日本語]

Forms: ぶぶんしゅうごう
  1. 小さな集合の全ての要素が大きな集合に属しているときの、大きな集合に含まれている小さな集合。ただし特に断りがない限り、ある集合の部分集合とは、何も要素を持たない空集合とその集合自体も含む。集合 A = {1, 2, 3} の部分集合は、{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3} の何れかが考えられる。
    Sense id: ja-部分集合-ja-noun-3ANLZ0fe
The following are not (yet) sense-disambiguated
Derived forms: 真部分集合 Related terms: 和集合, 空集合, 補集合, 冪集合
{
  "antonyms": [
    {
      "word": "上位集合"
    }
  ],
  "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"
    }
  ],
  "derived": [
    {
      "word": "真部分集合"
    }
  ],
  "forms": [
    {
      "form": "ぶぶんしゅうごう"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "related": [
    {
      "word": "和集合"
    },
    {
      "word": "空集合"
    },
    {
      "word": "補集合"
    },
    {
      "word": "冪集合"
    }
  ],
  "senses": [
    {
      "glosses": [
        "小さな集合の全ての要素が大きな集合に属しているときの、大きな集合に含まれている小さな集合。ただし特に断りがない限り、ある集合の部分集合とは、何も要素を持たない空集合とその集合自体も含む。集合 A = {1, 2, 3} の部分集合は、{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3} の何れかが考えられる。"
      ],
      "id": "ja-部分集合-ja-noun-3ANLZ0fe"
    }
  ],
  "word": "部分集合"
}
{
  "antonyms": [
    {
      "word": "上位集合"
    }
  ],
  "categories": [
    "日本語",
    "日本語_名詞",
    "日本語_数学"
  ],
  "derived": [
    {
      "word": "真部分集合"
    }
  ],
  "forms": [
    {
      "form": "ぶぶんしゅうごう"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "related": [
    {
      "word": "和集合"
    },
    {
      "word": "空集合"
    },
    {
      "word": "補集合"
    },
    {
      "word": "冪集合"
    }
  ],
  "senses": [
    {
      "glosses": [
        "小さな集合の全ての要素が大きな集合に属しているときの、大きな集合に含まれている小さな集合。ただし特に断りがない限り、ある集合の部分集合とは、何も要素を持たない空集合とその集合自体も含む。集合 A = {1, 2, 3} の部分集合は、{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3} の何れかが考えられる。"
      ]
    }
  ],
  "word": "部分集合"
}

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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 2025-01-13 from the jawiktionary dump dated 2025-01-01 using wiktextract (4ba5975 and 4ed51a5). 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.