Equicontinuity

Translation of "equicontinuity" into Russian

equicontinuity

Noun

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

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.

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Definitions