Sentence examples for with certain regularity from inspiring English sources

Next, we specify a class of functions with certain regularity properties and using a compactness argument establish the convergence of smooth solutions to the solution of the original problem with piecewise constant initial density (rho_{0}).

Now we start our discussion by recalling the fact that solving (6) with a closed form solution is impossible, thus we shall adopt some useful way to find the evidence that a solution with certain regularity exists.

We must cry with certain regularity.

> -wrap-foot> Mortandty and seizures remain as serious operative consequences throughout studies with certain regularity.

The proposed GP-based method is then extended for the design of a class of interpolation filters with certain regularities.

I used to end up lost in the wilderness with a certain regularity, but it's been years since that happened.

With a certain regularity, New Yorkers are given the opportunity to engage in a satisfyingly maddening if futile pastime: decrying the obscenities of rent regulation.

In this paper, we consider the stability of those localized operators including infinite matrices in the Sjöstrand class, synthesis operators with generating functions enveloped by shifts of a function in the Wiener amalgam space, and integral operators with kernels having certain regularity and decay at infinity.

So, they move on the grasslands with their herds, or so called 'living by the grass.' Within the nomad economy, there is, of course, a certain regularity of movement with their herds; however, in general nomads cannot settle for too long in one place, and must relocate around the grasslands seasonally.

Differences of content are obscured by a certain regularity of style.

Under certain regularity conditions, we show that the maximum likelihood estimator achieves the asymptotic lower bound for response adaptive trials with dichotomous responses.