"Bloch space" meaning in All languages combined

See Bloch space on Wiktionary

Noun [English]

Forms: Bloch spaces [plural]
Etymology: Named after the mathematician André Bloch. Head templates: {{en-noun}} Bloch space (plural Bloch spaces)
  1. (mathematics) The space, denoted by ℬ or ℬ, of holomorphic functions f defined on the open unit disc D in the complex plane, such that the function (1-|z|²)|f^′(z)| is bounded. Categories (topical): Mathematics
    Sense id: en-Bloch_space-en-noun-XmIvLe5c Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences

Inflected forms

{
  "etymology_text": "Named after the mathematician André Bloch.",
  "forms": [
    {
      "form": "Bloch spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Bloch space (plural Bloch spaces)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The space, denoted by ℬ or ℬ, of holomorphic functions f defined on the open unit disc D in the complex plane, such that the function (1-|z|²)|f^′(z)| is bounded."
      ],
      "id": "en-Bloch_space-en-noun-XmIvLe5c",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "holomorphic",
          "holomorphic"
        ],
        [
          "function",
          "function"
        ],
        [
          "complex plane",
          "complex plane"
        ],
        [
          "bounded",
          "bounded"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The space, denoted by ℬ or ℬ, of holomorphic functions f defined on the open unit disc D in the complex plane, such that the function (1-|z|²)|f^′(z)| is bounded."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Bloch space"
}
{
  "etymology_text": "Named after the mathematician André Bloch.",
  "forms": [
    {
      "form": "Bloch spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Bloch space (plural Bloch spaces)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "The space, denoted by ℬ or ℬ, of holomorphic functions f defined on the open unit disc D in the complex plane, such that the function (1-|z|²)|f^′(z)| is bounded."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "holomorphic",
          "holomorphic"
        ],
        [
          "function",
          "function"
        ],
        [
          "complex plane",
          "complex plane"
        ],
        [
          "bounded",
          "bounded"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The space, denoted by ℬ or ℬ, of holomorphic functions f defined on the open unit disc D in the complex plane, such that the function (1-|z|²)|f^′(z)| is bounded."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Bloch space"
}

Download raw JSONL data for Bloch space meaning in All languages combined (1.1kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-01 from the enwiktionary dump dated 2024-11-21 using wiktextract (95d2be1 and 64224ec). 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.