Sentence examples for fields of class from inspiring English sources

As applications we simplify part of the proof the Bost Connes theorem on phase transition with spontaneous symmetry breaking and we discuss generalizations to other systems associated to subsets of primes and to number fields of class number 1.

As per the PI of groundwater samples in the study area fall in the fields of Class I and II and are described as having excellent to good permeability (Fig. 12).

Mr. Nemser, a brilliant litigator, was a pioneer in the field of class action securities litigation.

We give a new proof for the existence of a Ck-center manifold at a nonhyperbolic equilibrium point of a finite-dimensional vector field of class Ck.

Furthermore, all the conjugacies that we construct are locally Hölder continuous provided that the vectors fields are of class C1.

The indictment of Mr. Weiss, a co-founder of the firm, coupled with the plea agreement by Mr. Lerach, is the latest twist in the saga of two lawyers who dominated the field of class-action securities litigation for more than a decade.

Fields of a class are commented just as variable definitions are (with single line comments, and not docstrings).

Methods are able to access the fields of the class, in addition to the parameters and local variables.

Relationship to known nonlinearities in midget cells: It is interesting to see such pronounced nonlinearities (subunits) in the receptive fields of a class of retinal ganglion cells (RGCs), the midget cells, which are commonly described as linear (X-like).

As a consequence, we obtain in a direct manner not only the exponential decay of solutions along the stable manifolds but also of their derivatives up to order k when the vector field is of class Ck.

With his bulging thighs and broad shoulders holding up a 6ft 2in frame, Burke would not look out of place among the bulked-up wingers who these days grace the fields of top-class rugby union.