Sentence examples for uniformly continuous from inspiring English sources

Dictionary

uniformly continuous

adjective

That for every real ε > 0 there exists a real δ > 0 such that for all pairs of points x and y in X for which D_X (x, y) , it must be the case that D_Y (f(x), f(y)) (where DX and DY are the metrics of X and Y, respectively).

  • A uniformly continuous function is a function whose derivative is bounded.

Exact(60)

Then (U t)) is uniformly continuous by the definition of uniform continuity.

Especially is uniformly continuous.

Note that is uniformly continuous.

Let (rhoinRe) be uniformly continuous.

Hence T is uniformly continuous.

As a consequence, G is uniformly continuous.

Each almost periodic function is uniformly continuous.

Then is bounded uniformly continuous function.

Since ρ is uniformly continuous, we get.

Assume that is uniformly continuous for all.

Since is uniformly Lipschitzian, is uniformly continuous.

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