Sentence examples for Following consequence from inspiring English sources

Furthermore, it is easy to observe the following consequence of Theorem 3.2 concerning the strong metric subregularity of the subdifferential.

The following consequence of Theorem 1 follows using Fubini's theorem and can be read in the special case f=1 as a disintegration formula for the Lebesgue measure.

(2.2) Then we have the following consequence, whose proof can be found in Chapter 14.6 of [25].

If we take (mathcal G =) identity mapping in Theorem 3, then we have the following consequence: Let ((mathcal X,d,preceq )) be an ordered metric space.

The following consequence of Theorem 1.1 for and can be viewed as a converse of Minkowski's inequality (1.1).

This has the following consequence.

Thus, we obtain the following consequence.

The following consequence is now immediate.

Theorem 3.10 has the following consequence.

The previous properties prove the following consequence.

Then we have the following consequence results.