
Hyperfinite
UK
/ˌhaɪpəˈfaɪnaɪt/
US
/ˌhaɪpərˈfaɪnaɪt/

Перевод слова "hyperfinite" на Русский язык
hyperfinite
ПрилагательноеUK
/ˌhaɪpəˈfaɪnaɪt/
US
/ˌhaɪpərˈfaɪnaɪt/
hyperfinite
more hyperfinite Срав.
most hyperfinite Превосх.
гиперконечный
The mathematician discussed the properties of a hyperfinite set.
Математик обсуждал свойства гиперконечного множества.
Опеределения
hyperfinite
ПрилагательноеUK
/ˌhaɪpəˈfaɪnaɪt/
US
/ˌhaɪpərˈfaɪnaɪt/
In non-standard analysis, of an internal set whose cardinality exceeds every standard natural number while remaining internally finite.
Any sequence indexed up to a hypernatural H forms a hyperfinite set in *ℕ.
In operator-algebra theory, of a von Neumann algebra that is the weak operator closure of an increasing sequence of finite-dimensional *-subalgebras.
The hyperfinite II₁ factor is central to the classification of von Neumann algebras.