Sentence examples for usual hypothesis from inspiring English sources

The usual hypothesis consisting in neglecting the effect of stress on the interface geometrical configuration must be revised.

The numerical results of the coupling problem agree qualitatively with the phenomenon observed, and it appears that the usual hypothesis of local reaction of the walls does not apply in all frequency ranges.

Specifically, in order to recover the main qualitative features of porosity ratcheting for all cyclic loads considered in the present study, it is shown to be critical to take into account the evolution of the microstructure not only during the plastic loading, as is the usual hypothesis, but also during elastic loading.

This feature provides some important advantages: it significantly improves the efficiency of the optimization algorithm and more importantly the usual hypothesis on the existence of solution to the OCP (in general difficult to verify in the presence of terminal state constraints) is automatically satisfied.

In this section, (mathbb {F}=left (mathcal {F}_{t}right)_{tgeq 0}) denotes a filtration satisfying the usual hypothesis of right-continuity and completeness.

where β 1 < 0 and β 2 < 0. Let ( Ω, ( F t ) t ≥ 0, P ) be a filtered probability space satisfying the usual hypothesis.

In contrast with the usual hypotheses, no asymptotic behavior is assumed on the nonlinearity f with respect to (phi_{p}(cdot)).

In [3], the authors introduced the notion of mixed monotone property, which has been one of the most usual hypotheses in this kind of results.

We generalize the comparison result 2007 on Hamilton-Jacobi equations to nonlinear parabolic equations, then by using Perron's method to study the existence and uniqueness of time almost periodic viscosity solutions of nonlinear parabolic equations under usual hypotheses.

Moreover, we study the Lp-convergence of random polynomials and derive certain decoupling inequalities without the usual tetrahedral hypothesis.

Although the usual cooperation hypothesis will allow higher overall profit expectations, using the proposed approach it is possible to identify non-cooperative scenarios with high individual profit expectations which are more likely to be accepted by all individual partners.