Sentence examples for uniform continuity from inspiring English sources

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

Of course, A is well defined, bounded and, from the uniform continuity of a in (I times[-M, M]), A is also uniformly continuous.

Note that Lipchitz continuity implies uniform continuity.

where the uniform continuity of on is used.

Again by the uniform continuity of and (2.9) and (2.10), we can compute that (3.18).

It is interesting to investigate these functions under uniform continuity condition.

The uniform continuity of T ensures that lim n → ∞ w n = 0. (2.3).

In Definition 1.1, we assume the continuity of T instead of uniform continuity.

Thus under the lack of the uniform continuity of it follows from (3.55) that.

For this purpose, we use the uniform continuity of the function on the interval.

By uniform continuity of T, ∥ T z k + 1 − T z k ∥ < 1.