Hyperarithmetical
Translation of "hyperarithmetical" into Russian
hyperarithmetical
AdjectiveUK
/ˌhaɪpəˌærɪθˈmɛtɪkəl/
US
/ˌhaɪpərˌærɪθˈmɛtɪkəl/
hyperarithmetical
more hyperarithmetical Comp.
most hyperarithmetical Super.
The hyperarithmetical hierarchy is a concept in mathematical logic.
Гиперарифметическая иерархия — это концепция в математической логике.
Definitions
hyperarithmetical
NounUK
/ˌhaɪpəˌærɪθˈmɛtɪkəl/
US
/ˌhaɪpərˌærɪθˈmɛtɪkəl/
A set or function that is hyperarithmetical, i.e. belongs to the hyperarithmetical hierarchy.
Every hyperarithmetical is Δ¹₁.
hyperarithmetical
AdjectiveUK
/ˌhaɪpəˌærɪθˈmɛtɪkəl/
US
/ˌhaɪpərˌærɪθˈmɛtɪkəl/
Relating to or involving a level of complexity in mathematical logic that extends beyond arithmetical operations, often used in the context of set theory and computability theory.
The hyperarithmetical hierarchy is a classification of sets of natural numbers based on their definability and complexity.