"Banachraum" meaning in All languages combined

{
  "categories": [
    {
      "kind": "other",
      "name": "Anagramm sortiert (Deutsch)",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Deutsch",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Grundformeintrag (Deutsch)",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Roter Audiolink",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Rückläufige Wörterliste (Deutsch)",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Rückläufige Wörterliste Grundformeintrag (Deutsch)",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Substantiv (Deutsch)",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Substantiv m (Deutsch)",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Wiktionary:Audio-Datei",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Siehe auch",
      "orig": "siehe auch",
      "parents": [],
      "source": "w"
    }
  ],
  "etymology_text": "Determinativkompositum aus den Substantiven Banach (nach Stefan Banach) und Raum",
  "forms": [
    {
      "form": "der Banachraum",
      "tags": [
        "nominative",
        "singular"
      ]
    },
    {
      "form": "die Banachräume",
      "tags": [
        "nominative",
        "plural"
      ]
    },
    {
      "form": "des Banachraumes",
      "tags": [
        "genitive",
        "singular"
      ]
    },
    {
      "form": "des Banachraums",
      "tags": [
        "genitive",
        "singular"
      ]
    },
    {
      "form": "der Banachräume",
      "tags": [
        "genitive",
        "plural"
      ]
    },
    {
      "form": "dem Banachraum",
      "tags": [
        "dative",
        "singular"
      ]
    },
    {
      "form": "dem Banachraume",
      "tags": [
        "dative",
        "singular"
      ]
    },
    {
      "form": "den Banachräumen",
      "tags": [
        "dative",
        "plural"
      ]
    },
    {
      "form": "den Banachraum",
      "tags": [
        "accusative",
        "singular"
      ]
    },
    {
      "form": "die Banachräume",
      "tags": [
        "accusative",
        "plural"
      ]
    }
  ],
  "hypernyms": [
    {
      "sense_index": "1",
      "word": "Vektorraum"
    }
  ],
  "hyphenation": "Ba·nach·raum",
  "lang": "Deutsch",
  "lang_code": "de",
  "pos": "noun",
  "pos_title": "Substantiv",
  "senses": [
    {
      "examples": [
        {
          "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 …“"
        }
      ],
      "glosses": [
        "vollständiger normierter Vektorraum"
      ],
      "id": "de-Banachraum-de-noun-dMGjc84V",
      "sense_index": "1",
      "topics": [
        "mathematics"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "ˈbanaxˌʁaʊ̯m"
    },
    {
      "audio": "De-Banachraum.ogg",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/a/a8/De-Banachraum.ogg/De-Banachraum.ogg.mp3",
      "ogg_url": "https://commons.wikimedia.org/wiki/Special:FilePath/De-Banachraum.ogg"
    }
  ],
  "tags": [
    "masculine"
  ],
  "translations": [
    {
      "lang": "Englisch",
      "lang_code": "en",
      "sense": "Mathematik: vollständiger normierter Vektorraum",
      "sense_index": "1",
      "word": "Banach space"
    },
    {
      "lang": "Französisch",
      "lang_code": "fr",
      "sense": "Mathematik: vollständiger normierter Vektorraum",
      "sense_index": "1",
      "word": "espace de Banach"
    },
    {
      "lang": "Italienisch",
      "lang_code": "it",
      "sense": "Mathematik: vollständiger normierter Vektorraum",
      "sense_index": "1",
      "word": "spazio di Banach"
    },
    {
      "lang": "Spanisch",
      "lang_code": "es",
      "sense": "Mathematik: vollständiger normierter Vektorraum",
      "sense_index": "1",
      "word": "espacio de Banach"
    }
  ],
  "word": "Banachraum"
}

{
  "categories": [
    "Anagramm sortiert (Deutsch)",
    "Deutsch",
    "Grundformeintrag (Deutsch)",
    "Roter Audiolink",
    "Rückläufige Wörterliste (Deutsch)",
    "Rückläufige Wörterliste Grundformeintrag (Deutsch)",
    "Substantiv (Deutsch)",
    "Substantiv m (Deutsch)",
    "Wiktionary:Audio-Datei",
    "siehe auch"
  ],
  "etymology_text": "Determinativkompositum aus den Substantiven Banach (nach Stefan Banach) und Raum",
  "forms": [
    {
      "form": "der Banachraum",
      "tags": [
        "nominative",
        "singular"
      ]
    },
    {
      "form": "die Banachräume",
      "tags": [
        "nominative",
        "plural"
      ]
    },
    {
      "form": "des Banachraumes",
      "tags": [
        "genitive",
        "singular"
      ]
    },
    {
      "form": "des Banachraums",
      "tags": [
        "genitive",
        "singular"
      ]
    },
    {
      "form": "der Banachräume",
      "tags": [
        "genitive",
        "plural"
      ]
    },
    {
      "form": "dem Banachraum",
      "tags": [
        "dative",
        "singular"
      ]
    },
    {
      "form": "dem Banachraume",
      "tags": [
        "dative",
        "singular"
      ]
    },
    {
      "form": "den Banachräumen",
      "tags": [
        "dative",
        "plural"
      ]
    },
    {
      "form": "den Banachraum",
      "tags": [
        "accusative",
        "singular"
      ]
    },
    {
      "form": "die Banachräume",
      "tags": [
        "accusative",
        "plural"
      ]
    }
  ],
  "hypernyms": [
    {
      "sense_index": "1",
      "word": "Vektorraum"
    }
  ],
  "hyphenation": "Ba·nach·raum",
  "lang": "Deutsch",
  "lang_code": "de",
  "pos": "noun",
  "pos_title": "Substantiv",
  "senses": [
    {
      "examples": [
        {
          "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 …“"
        }
      ],
      "glosses": [
        "vollständiger normierter Vektorraum"
      ],
      "sense_index": "1",
      "topics": [
        "mathematics"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "ˈbanaxˌʁaʊ̯m"
    },
    {
      "audio": "De-Banachraum.ogg",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/a/a8/De-Banachraum.ogg/De-Banachraum.ogg.mp3",
      "ogg_url": "https://commons.wikimedia.org/wiki/Special:FilePath/De-Banachraum.ogg"
    }
  ],
  "tags": [
    "masculine"
  ],
  "translations": [
    {
      "lang": "Englisch",
      "lang_code": "en",
      "sense": "Mathematik: vollständiger normierter Vektorraum",
      "sense_index": "1",
      "word": "Banach space"
    },
    {
      "lang": "Französisch",
      "lang_code": "fr",
      "sense": "Mathematik: vollständiger normierter Vektorraum",
      "sense_index": "1",
      "word": "espace de Banach"
    },
    {
      "lang": "Italienisch",
      "lang_code": "it",
      "sense": "Mathematik: vollständiger normierter Vektorraum",
      "sense_index": "1",
      "word": "spazio di Banach"
    },
    {
      "lang": "Spanisch",
      "lang_code": "es",
      "sense": "Mathematik: vollständiger normierter Vektorraum",
      "sense_index": "1",
      "word": "espacio de Banach"
    }
  ],
  "word": "Banachraum"
}