"Hilbert space" meaning in All languages combined

See Hilbert space on Wiktionary

Noun [English]

Forms: Hilbert spaces [plural]
Etymology: Named after German mathematician David Hilbert (1862–1943). Etymology templates: {{named-after/list|mathematician||||}} mathematician, {{!}} |, {{lang|en|David Hilbert}} David Hilbert, {{named-after|en|David Hilbert|born=1862|died=1943|nat=German|occ=mathematician|wplink==}} Named after German mathematician David Hilbert (1862–1943) Head templates: {{en-noun}} Hilbert space (plural Hilbert spaces)
  1. (functional analysis) A generalized Euclidean space in which mathematical functions take the place of points; crucial to the understanding of quantum mechanics and other applications. Wikipedia link: Hilbert space Categories (topical): Functional analysis, Functions Hypernyms: inner product space Hyponyms: Euclidean space, projective Hilbert space Derived forms: isohilbert space, projective Hilbert space Related terms: Banach space, Fréchet space, inner product space, linear algebra, metric space, normed space, pre-Hilbert space, topological vector space, vector space Translations (a space in mathematics): Hilbert-ruimte (Afrikaans), Hilbert fəzası (Azerbaijani), 希爾伯特空間 (Chinese Cantonese), 希尔伯特空间 (hei¹ ji⁵ baak³ dak⁶ hung¹ gaan¹) (Chinese Cantonese), 希爾伯特空間 (Chinese Mandarin), 希尔伯特空间 (Xī'ěrbótè kōngjiān) (Chinese Mandarin), Hilbertrum [neuter] (Danish), Hilbertin avaruus (Finnish), espace de Hilbert [masculine] (French), Hilbertraum [masculine] (German), Hilbert-Raum (German), Hilbert-tér (Hungarian), spazio di Hilbert (Italian), spazio hilbertiano (Italian), ヒルベルト空間 (Hiruberuto-kūkan) (Japanese), гильберттік кеңістік (gilberttık keñıstık) (Kazakh), 힐베르트 공간 (hilbereuteu gonggan) (Korean), espaço de Hilbert [masculine] (Portuguese), spațiu Hilbert [neuter] (Romanian), ги́льбертово простра́нство (gílʹbertovo prostránstvo) [neuter] (Russian), Hilbertrum [neuter] (Swedish)

Inflected forms

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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 2024-11-28 from the enwiktionary dump dated 2024-11-21 using wiktextract (65a6e81 and 0dbea76). 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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