Sentence examples for classes of domains from inspiring English sources

Estimates like (28) for classes of domains in ({mathbb C}^n) will be discussed in Sect.

It is exactly this question that we try to answer in this paper, for some special classes of domains.

These kernel estimates are derived, for the various classes of domains in Definition 6.3, in [10, 23, 28, 29, 30, 37].

However, a great deal of work in the last 30 years has led to results showing how these metrics behave, approximately, as (z) approaches (bOmega ), for wide classes of domains (Omega ).

The necessity of such a hierarchy of classes of domains is that when determining the size of (rho ) in Theorem 2.6, we need some information about domains and their boundaries.

We defined three classes of domains.

We consider classes of domain families, which have only one common feature, namely the number of members (Fig. 1).

In order to investigate the possible importance of domain fusion versus de novo domain emergence we examined all possible domain arrangements involving Vertebrate and Old domains present in the 330 human proteins that contained both classes of domain.

The results show that both in human and in Arabidopsis, there is a limited but statistically highly significant, positive correlation between the rate differences of domains in the two classes of domain pairs.

For each case, we exhibit a corresponding class of domains.

For the characteristic function of a domain, we obtain boundedness results for a general class of domains which properly includes Lipschitz domains.