Sentence examples for assumed to be continuous from inspiring English sources

The same conclusion is found when g is assumed to be continuous since continuity of g implies continuity of f.

Hence, Aw is a common fixed point of A and S. The same conclusion can be drawn when S is assumed to be continuous since the continuity of S implies the continuity of A. The uniqueness of the common fixed point follows from (i). □.

Hence A ( w ) = A ( A ( w ) ) = A ( S ( w ) ) and Aw is a common fixed point of A and S. The same conclusion is obtained when S is assumed to be continuous since the continuity of S implies the continuity of A. This completes the proof.

F assumed to be continuous.

MOH was assumed to be continuous (pT=1) when present.

Notice that g is not even assumed to be continuous.

In this theorem, T is assumed to be continuous affine.

Hereafter, all operators will be assumed to be continuous.

The density function allowed to differ arbitrarily across the population is assumed to be continuous.

However, in the techniques proposed so far, all the design variables are assumed to be continuous.

However, they (and hence the joint channel fading distribution) are assumed to be continuous.