Sentence examples for establish sharp from inspiring English sources

Also, we establish sharp inequalities for the Wallis sequence.

Moreover, we establish sharp bounds for the corresponding error terms.

We establish sharp pointwise estimates for such solutions.

It is the second aim of present paper to establish sharp Becker-Stark inequality.

The first aim of present paper is to establish sharp inequalities for (W_{n}).

Micro photoluminescence measurements of single QDs of both types establish sharp excitonic peaks.

Subsequent intense heat treatments (1000 °C) homogenize the alloy and re-establish sharp DSC peaks during martensitic transformations.

She also obtains relatively simple constructions of the functions (tilde{psi }_delta ) on some finite type domains, leading to the hope of establishing sharp subelliptic estimates on families of domains where these estimates are not yet known.

Among the applications of these trees and coloring theorems are quantification of the Bourgain ℓp and c0 indices, dualization of the Bourgain c0 index, establishing sharp positive and negative results for constant reduction, and estimating the Bourgain ℓp index of an arbitrary Banach space X in terms of a subspace Y and the quotient X/Y.

Therefore, a multivariate analysis that establishes sharp boundaries among classes is sought and, accordingly, one nearest neighbor is employed.

Actually this trial is the first longitudinal study which compares the established Sharp Score and the DXR-technique focusing on the structural integrity.