"バナッハ空間" meaning in 日本語

See バナッハ空間 in All languages combined, or Wiktionary

Noun

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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    "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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      "word": "Banach space"
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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 日本語 dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the jawiktionary dump dated 2024-12-20 using wiktextract (d8cb2f3 and 4e554ae). 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.