"バナッハ空間" meaning in All languages combined

See バナッハ空間 on Wiktionary

Noun [日本語]

Forms: ばなっはくうかん
  1. ノルム空間にそのノルムから導かれる d(x, y) = ‖x − y‖ によって定義される距離を導入し、さらにその距離について完備である空間。
    Sense id: ja-バナッハ空間-ja-noun-rXK06F3x Categories (other): 日本語 解析学 Topics: mathematical analysis
The following are not (yet) sense-disambiguated
Related terms: ヒルベルト空間 Translations: Banach space (英語)
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  "etymology_texts": [
    "ポーランドの数学者 Stefan Banach(ステファン・バナフ)の名より。"
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        "ノルム空間にそのノルムから導かれる d(x, y) = ‖x − y‖ によって定義される距離を導入し、さらにその距離について完備である空間。"
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  "translations": [
    {
      "lang": "英語",
      "lang_code": "en",
      "word": "Banach space"
    }
  ],
  "word": "バナッハ空間"
}
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  "lang": "日本語",
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        "ノルム空間にそのノルムから導かれる d(x, y) = ‖x − y‖ によって定義される距離を導入し、さらにその距離について完備である空間。"
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  ],
  "word": "バナッハ空間"
}

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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 2024-10-17 from the jawiktionary dump dated 2024-10-02 using wiktextract (1fa2fea 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.

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