See Bloch space on Wiktionary
{ "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" }
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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 2024-12-03 from the enwiktionary dump dated 2024-11-21 using wiktextract (94ba7e1 and 5dea2a6). 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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