Sentence examples for by using a condition from inspiring English sources

By using a condition (Hg) similar to it given in [32], Li and Chen [21] proved that (Hg) is also sufficient for the Hausdorff lower semi-continuity of the solution mapping to a class of weak vector variational inequality.

By using a condition, we show that the coefficient sequences ({alpha_{n}}_{ngeq0}), ({beta_{n}}_{ngeq0}), and ({gamma_{n}}_{ngeq0}) have effective roles to play in the rate of convergence of the sequence ({x_{n}}_{ngeq0}) in the Noor iteration method.

Given this, by using a condition reported in [ 24], we evaluated MT cosedimentation of the purified Ndc80 complex with loop mutants; its enhancement by the Dam1 complex was similar to that of the wild-type Ndc80 complex.

By using a condition-specific indicator, an outlier hospital can focus on the clinical pathways for the condition at hand.

The main purpose of this note is to establish a few common fixed point theorems by generalizing the results of Murthy et al. [9] for two pairs of discontinuous functions in a complete metric space by using a weaker condition than condition (1.5) called ((varphi, psi -weak contraction condition in metric spsi -weak

The necessary and sufficient conditions were given in [18] by using a regularity condition, called the S-property.

The use of confocal Raman microscopy has been reported as a way to prevent this [29] and Lorenzetti et al. [30] reported on its usefulness to determine the dyes on historic dyed cotton yarns by using a confocal condition 2 3 µm lower than the fibre surface.

This problem is removed by using a continuity condition.

Bottom and top cover are coupled by using a compatibility condition.

Cheng and Wang [6] studied the algebraic convergence rates for diffusion processes on Riemannian manifolds with boundary by using a Lyapunov condition.

Also by using a similar condition, one can show that the case (3.16) converges faster than (3.14).