"Banachraum" meaning in Deutsch

See Banachraum in All languages combined, or Wiktionary

Noun

IPA: ˈbanaxˌʁaʊ̯m Audio: De-Banachraum.ogg
Etymology: Determinativkompositum aus den Substantiven Banach (nach Stefan Banach) und Raum Forms: der Banachraum [nominative, singular], die Banachräume [nominative, plural], des Banachraumes [genitive, singular], des Banachraums [genitive, singular], der Banachräume [genitive, plural], dem Banachraum [dative, singular], dem Banachraume [dative, singular], den Banachräumen [dative, plural], den Banachraum [accusative, singular], die Banachräume [accusative, plural]
  1. vollständiger normierter Vektorraum
    Sense id: de-Banachraum-de-noun-1 Topics: mathematics
The following are not (yet) sense-disambiguated
Hypernyms: Vektorraum Translations (Mathematik: vollständiger normierter Vektorraum): Banach space (Englisch), espace de Banach (Französisch), spazio di Banach (Italienisch), espacio de Banach (Spanisch)

Inflected forms

Download JSONL data for Banachraum meaning in Deutsch (2.9kB)

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  "etymology_text": "Determinativkompositum aus den Substantiven Banach (nach Stefan Banach) und Raum",
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          "raw_ref": "Wolfgang Walter (Ed.): General Inequalities 5. 5th International Conference on General Inequalities, Oberwolfach, May 4–10, 1986. Birkhäuser Verlag, Basel/Boston 1987. Seite 382",
          "text": "„Es sei A eine Menge, und für jedes α ∈ A sei K_α ein regulärer Kegel in einem Banachraume E_α. Dann wird …“"
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      "sense_id": "1",
      "word": "Banach space"
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      "sense": "Mathematik: vollständiger normierter Vektorraum",
      "sense_id": "1",
      "word": "espace de Banach"
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      "lang": "Italienisch",
      "lang_code": "it",
      "sense": "Mathematik: vollständiger normierter Vektorraum",
      "sense_id": "1",
      "word": "spazio di Banach"
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      "lang": "Spanisch",
      "lang_code": "es",
      "sense": "Mathematik: vollständiger normierter Vektorraum",
      "sense_id": "1",
      "word": "espacio de Banach"
    }
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  "word": "Banachraum"
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This page is a part of the kaikki.org machine-readable Deutsch dictionary. This dictionary is based on structured data extracted on 2024-07-01 from the dewiktionary dump dated 2024-06-20 using wiktextract (e79c026 and b863ecc). 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.