Sentence examples for a discrete group of from inspiring English sources

If he or she can picture a discrete group of Americans who would disagree that a decision is self-evident, go with a jury.

In the 1982 decision of Plyler v Doe, the justices struck down a Texas statute that excluded undocumented immigrant children from public education, and said a state may not "deny a discrete group of innocent children the free public education that it offers to other children residing within its borders".

The spectrin family of proteins represents a discrete group of cytoskeletal proteins comprising principally α-actinin, spectrin, dystrophin, and homologues and isoforms.

Osteosarcomas of the jaw arising in a former radiation field may be a discrete group of lesions with a more aggressive behavior pattern.

For hyperbolic spaces obtained as quotients Γ⧹Hn + 1, where Γ is a discrete group of fractional linear transformations having a geometrically finite fundamental domain without cusps at infinity, s is constant.

Using this result we will show that the group cohomology of a discrete group of polynomial growth is of polynomial growth in the sense of Connes and Moscovici, and that there are no nontrivial idempotents in the group C∗-algebra of a torsion free group of polynomial growth by the method of cyclic cohomology of Connes.

Likewise, a discrete grouping of triazine tolerant cultivars ('ATR'- and 'TT') was also evident in cluster II.

An extension 0 → A → ϕ B → ψ C → 0 Open image in new window is called a pure extension if ϕ(A) is pure in B. Following Fulp and Griffith [1], we let Ext(C, A) denote the (discrete) group of extensions of A by C. The elements represented by pure extensions of A by C form a subgroup of Ext(C, A) which is denoted by P ext(C, A).

This paper describes, for an induced representation π of a discrete group G, the structure of the center π(G)′ ∩ π(G)″.

We show that if G is a discrete group, then most of approximation properties for the reduced group C∗-algebra C∗λ(grouphe group von Neumann algebra VN G), and the Fourier algebra A G) (related to amenability, weak amenability, and approximation property of G) have the natural p-analogues for PFp(G), PMp(G), and Ap G), respectively.

The anisotropic property, in mathematics, can be expressed by a general discrete group of dilations ({A^{k}: kinmathbb{Z}}), where A is a real (ntimes n) matrix with all its eigenvalues λ satisfy (|lambda|>1).