Equicontinuity

Translation of "equicontinuity" into Russian

equicontinuity

Noun

/ˌiːkwɪkənˈtɪn.juː.ɪ.ti/

equicontinuity

equicontinuities pl

равномерная непрерывность

The equicontinuity of the function family was crucial for the proof.

Равномерная непрерывность семейства функций была ключевой для доказательства.

Definitions

equicontinuity

Noun

/ˌiːkwɪkənˈtɪn.juː.ɪ.ti/

A property of a family of functions on a metric space in which a single modulus of continuity can be chosen that works simultaneously for every function in the family and every point in the domain.

Because the family was equicontinuous, the same δ could be chosen for all its members when ε was fixed.

Translations
Definitions