Sentence examples for alternative characterizations from inspiring English sources

There are various alternative characterizations of convex games that are of interest.

Second, we get alternative characterizations of extensions that avoid fixed-point conditions.

As we will see in Section 4.4 this approach often yields alternative characterizations of the same classes studied in computational complexity theory.

It would be interesting in further work to explore to what extent such conclusions extend to alternative characterizations of the persistence in the forward premium, such as long-memory and structural break models.

Hence, what we do here is to present alternative characterizations of gradient flows in the smooth Euclidean case, which can be used as a definition of gradient flow in the metric case, since all the quantities which are involved have their metric counterpart.

There are alternative characterizations.

Therefore, alternative characterization techniques have been sought.

In this paper we provide an alternative characterization of the above mentioned projection.

This analysis aims to suggest an alternative characterization resulting from mathematical and statistical formulations.

There is no contradiction here, since the illocutionary negation operator 'do not say' generates no commitment to an alternative characterization.

This observation can be used to give an alternative characterization of several of the complexity classes we have considered.