Sentence examples for by using a weak from inspiring English sources

As opposed to conventional laser communication systems, the Gaussian laser beam is prevented from diverging at the receiving station by using a weak thin lens that places the transmitted beam waist mid-way between a symmetrical transmitter receiver link design.

In this paper, we will give a lower bound on the gap by using a weak Poincaré inequality which was introduced by M. Röckner and F.-Y. Wang (2000, Weak Poincaré inequalities and L2-convergence rates of Markov semigroups, preprint).

In this study, we report a method to magnify the effect of a single promoter by using a weak promoter-based selection system in transgenic rice.

Selection stringency can be improved by using mutant neomycin phosphotransferase II selection markers with reduced affinities for the neomycin drug [ 32, 33], by using a weak Herpes simplex virus thymidine kinase promoter [ 34], and by codon deoptimization of selection marker gene [ 35], which reduce the selection markers' activity, transcription initiation and translation rate respectively.

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

This reduction can be accomplished by using a weaker promoter or by transfecting less DNA.

For example, Hong [8] has extended Mönch [3] to discontinuous multivalued operators in ordered Banach spaces by using a quite weak compactness condition; that is, assuming the following condition is satisfied.

A protein structure has been refined with electron diffraction data obtained by using a very weak electron beam to collect large numbers of diffraction patterns from a few sub-micron-sized three-dimensional crystals.

The compounds were first purified by preparative HPLC workup, and the remaining DOTA impurities were removed by solid phase extraction (SPE) using a weak anion exchanger resin (Scheme 1).

By using a variant generalized weak linking theorem, a non-resonant superlinear (or superquadratic) result is obtained and the Ambrosetti-Rabinowitz condition is improved.

He proved a Takahashi-type minimization theorem, a generalized Ekeland variational principle, and a general Caristi-type fixed point theorem for set-valued maps in complete generating spaces of a quasi-metric family by using a family of weak quasi-metrics.