Sentence examples for dimensions of the groups from inspiring English sources

Theorem 3.6 shows that for (nge 3), (nne 4) the set of the dimensions of the groups that can act properly on (X) has a lacuna of size linear in (n) located immediately below the maximal possible dimension.

Corollary 4.7 is analogous to Theorem 3.6 and shows that for (Nge 3) the set of the dimensions of the groups that can act properly on (X) has a lacuna of size linear in (N) located immediately below the second largest dimension (N^2+2N-1).

Mr. Kibble's efforts are keyed to the precise dimensions of the group, from top to bottom — or to put it more clearly, from Claude McKnight's bright and buttery falsetto to Alvin Chea's rumbling, expressive bass.

Borrowed and adapted from Volet et al. (2009a) and from Rogat and Linnenbrink-Garcia (2011), a specific coding scheme (see Table 1) was developed for both the regulation and the interaction dimensions of the group activities.

The dimension of the groups treated with the three different products differs from 15 to 91 patients.

Dr. Guthrie, a plastic surgeon whose medical office is in an Upper East Side town house that also houses Save Venice's offices, said that in recent years the social dimension of the group -- and particularly the presence of titled Europeans who, he said, contributed little financially -- had overshadowed the art-restoration goals.

The th dimension of the group's best location is.

The user selection schemes use different criteria to select the sensors that will participate in the cooperative sensing, limiting the dimension of the group and lowering the reporting overhead.

We prove the stability of the index and the semicontinuity of the dimensions of the cohomology groups of semi-Fredholm complexes of Banach spaces and closed linear operators with respect to perturbations of the operators and of the underlying spaces which are small with respect to the gap topologies.

17 For each hemisphere, the mean AC PC midthickness surfaces for both groups (term control and preterm) were averaged to generate an unbiased surface target whose size is midway between the mean dimensions of the 2 groups.

Craniofacial pattern profiles showed that both type I and type II groups had microbrachycephaly, but that the dimensions of the mild group were somewhat closer to normal [ 7].