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HILBERT SPACE [1 record]
Record 1 - internal organization data 2020-02-04
Record 1, English
Record 1, Subject field(s)
- Mathematics
- Relativity (Physics)
Record 1, Main entry term, English
- Hilbert space
1, record 1, English, Hilbert%20space
correct
Record 1, Abbreviations, English
Record 1, Synonyms, English
Record 1, Textual support, English
Record number: 1, Textual support number: 1 DEF
A space which is linear, metric and complete. 2, record 1, English, - Hilbert%20space
Record number: 1, Textual support number: 1 CONT
In mathematics, a Hilbert space is an inner product space that is complete with respect to the norm defined by the inner product. Hilbert spaces serve to clarify and generalize the concept of Fourier expansion and certain linear transformations such as the Fourier transform. 3, record 1, English, - Hilbert%20space
Record 1, French
Record 1, Domaine(s)
- Mathématiques
- Relativité (Physique)
Record 1, Main entry term, French
- espace de Hilbert
1, record 1, French, espace%20de%20Hilbert
correct, masculine noun
Record 1, Abbreviations, French
Record 1, Synonyms, French
- espace hilbertien 2, record 1, French, espace%20hilbertien
correct, masculine noun
Record 1, Textual support, French
Record number: 1, Textual support number: 1 DEF
En théorie quantique, espace linéaire, métrique et complet des états d'un système physique. 2, record 1, French, - espace%20de%20Hilbert
Record number: 1, Textual support number: 1 OBS
Selon D. Hilbert [...] l'état d'un tel système peut être stationnaire (son attracteur est un point fixe), périodique (son attracteur est un cycle limite), quasi périodique (son attracteur est un tore) ou chaotique (son attracteur est étrange). Chaque état peut être représenté par un vecteur normé. Le produit scalaire hilbertien de deux vecteurs fournit l'amplitude de probabilité de la transition entre les deux états physiques qu'ils représentent. Tout espace préhilbertien séparé de dimension finie est un espace hilbertien. 2, record 1, French, - espace%20de%20Hilbert
Record number: 1, Textual support number: 1 PHR
espace hilbertien complexe, espace hilbertien muni de la norme euclidienne, espace hilbertien réel 2, record 1, French, - espace%20de%20Hilbert
Record 1, Spanish
Record 1, Textual support, Spanish
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