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单词 equicontinuity
释义

equicontinuity

A family of functions fi:X → Y between metric spaces are equicontinuous at x in X if for any ε > 0 there exists δ > 0 such that whenever dX(x,y) < δ, then dY(fi(x), fi(y)) < ε for all i.

The family is uniformly equicontinuous if for any ε > 0 there exists δ > 0 such that whenever dX(x,y) < δ, then dY(fi(x), fi(y)) < ε for all i and all x,y.

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更新时间:2025/4/29 23:16:31