Sentence examples for continuous by from inspiring English sources

The operator (mathcal{H}_{1}) is continuous by the continuity of f.

It is easy to get that A is continuous by the continuity of f.

To this end, from the hypothesises (H 2) (1) and (3), one can prove that F is continuous by the continuity of g and of the operator f.

As Achilles's trajectory must be continuous, by the definition of continuity (applied to instant t = t* = 1 P.M).

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

The operator S is deduced to be completely continuous by the Arzela-Ascoli theorem along with the continuity of S decided by f.

Such functions are continuous by definition.

which is continuous by Lemma 2.8.

Moreover, ℱ is continuous by (3.6).

We have known is completely continuous by Lemma 3.2.

(i Observe that and are, clearly, continuous by their definition.