Sentence examples for dependence on the third from inspiring English sources

Additionally, the estimates delivered by the model exhibit a dependence on the third invariant of the macroscopic stress tensor, which has a nontrivial effect on the effective response of the material at moderate triaxialities.

The problem with this technique is its total dependence on the third party.

The dynamics of the second moments include a dependence on the third, and so on.

Because of the linear dependence of the third propensity score on the other two, only the first two propensity scores were included in subsequent analyses of the effect of the confidant social network upon use of residential care.

An extension of this approach is to use a first-order Markov chain to allow for dependence of the third codon position on the second codon position (of the same codon) in the ancestral root sequence, which requires four independent sets of base frequencies π ROOT = { π X|A, π X|C, π X|G, π X|T }, with X ∈ { A,C,G,T} the identity of the site at the second codon position of the same codon.

If one examines the dynamics of the mean fields in such systems, one typically finds that they include a dependence on the second moments.

The squeeze of the cap on a group of players who'd been steadily earning pay rises with their performances left RSL short of serviceable depth and it showed in a dependence on the first 13 or 14 players.

While no dependence on the first two parameters could be detected, the folding time varies from 0.6 μs to 1.8 μs for helix lengths of 20 residue to 440 residue, respectively.

In this paper, we have discussed boundary value problems for second-order differential equations with deviating arguments and with dependence on the first-order derivative.

This paper is concerned with the two-point boundary value problems of a nonlinear fractional q-difference equation with dependence on the first order q-derivative.

A new fixed point theorem in a cone is applied to obtain the existence of positive solutions of some fourth-order beam equation boundary value problems with dependence on the first-order derivative where is continuous.