Sentence examples for a perfect ring from inspiring English sources

Should the three people seated inside achieve perfect mental harmony, according to a brochure, part of the brain waves projected overhead will form a perfect ring.

With only an afternoon, we missed much of what there is to see in Carthage, dedicating our time to the Punic harbors -- artificial ports carved into the shoreline, one commercial and one military, the latter a perfect ring with berths for a fleet of 220 warships -- and to the Roman baths.

Imperfections are modeled as perturbations of the uniform linear mass density and bending stiffness of a perfect ring.

Initially, the effect of the addition of a number of imperfection masses on a perfect ring is considered.

Such profile variations are known to lead to frequency splitting between pairs of modes which are degenerate in a perfect ring.

This is achieved by using a Rayleigh Ritz approach in which it is assumed that the mode shapes are identical to those of a perfect ring.

Recently it has been shown in [12] that over a right perfect ring, a module M is automorphism-coinvariant if and only if for every submodule N of M, any epimorphism (varphi : Mrightarrow M/N) can be lifted to an endomorphism of M. Let R be the ring given in Example 3.1 and (M=e_{11}R).

Let us finally note that Example 5.1 shows that over a noncommutative perfect ring, an automorphism-coinvariant module does not need to be quasi-projective.

Let R be a right perfect ring and M, an automorphism-coinvariant right R-module with a projective cover (pi : Prightarrow M) such that M is not quasi-projective.

The morphology of a single QR shown in Figure5b reveals that the QR consists of a nearly perfect ring wall and an island, which is just like the real jewelry ring.

Let R be a commutative perfect ring.