"continuous" in inglés with examples - Collocation dictionary inglés
- In this case, the function f is sometimes called a special uniformly continuous map.
- First note that uniformly continuous for a function f is stated as follows:
- Every Lipschitz-continuous map is uniformly continuous, but the converse is not true in general.
- The function on is not uniformly continuous because f* fails to be microcontinuous at an infinite point .
- Every uniformly continuous function between metric spaces is continuous.
- Every continuous function on a compact set is uniformly continuous.
- In particular, every function which is differentiable and has bounded derivative is uniformly continuous.
- By the Heine-Cantor theorem it is uniformly continuous in that set.
- The generator of a uniformly continuous semigroup is a bounded operator.
- A continuous real function on the closed unit interval is uniformly continuous.
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