Sentence examples for depending on left from inspiring English sources

It is worth mentioning that there is a notion of asymptotically nonexpansive defined, depending on left ideals in a semigroup in the works of Holmes and Lau [6] and Holmes [7].

The extension for right fractional operators and integrals is also considered to be used later by researchers in solving higher order fractional variational problems in the frame of Mittag-Leffler kernels by means of integration by parts depending on left and right fractional operators [12 14].

A correction factor is used depending on left ventricular lead position.

In addition, results from lesion studies suggest that while sublexical spelling critically depends on left superior temporal regions it does not depend on left vOT [e.g., Henry et al., 2007; Philipose et al., 2007].

This study demonstrated that the prognostic importance of diabetes depends on left ventricular function, with diabetes having a stronger negative influence with preserved ventricular function.

Caution is recommended when using PAOP as a surrogate marker of cardiac function because PAOP depends on left ventricular filling volume and compliance.

In order to take advantage of all the allowable interference, the values of the maximum power that can be allocated to each subcarrier should be updated depending on the left interference.

However, most of these papers deal with jump conditions at impulse point (t_{k}) depending on the left hand limit (m(t_{k})) or a time-delay value, (m(t_{k}-tau)), (tau>0).

Depending on either left or right hemisphere sensors gamma power was strongest at, respectively, alpha peaks or troughs (Fig. 2).

However, some previous models of sliding considered that the 1D random walk is biased, in the sense that depending on the left or right side affinities from the current position a TF molecule might have different probabilities to slide in one or the other direction (Slutsky and Mirny, 2004).

However, most of these articles deal with jump conditions at impulse point t k depending on the left-hand limit m(t k ) or a time-delay value, m(t k -τ), τ > 0. Our main goal is to extend the theory of impulsive differential and impulsive integral inequalities to include integral jump conditions.