Sentence examples for assumptions coefficient from inspiring English sources

The implications are discussed for vibro-impact systems mathematically modelled by using instantaneous impact assumptions (coefficient of restitution).

Under mild assumptions on coefficient vector fields and underlying Gaussian processes, we prove that solutions at a fixed time are smooth in the sense of Malliavin calculus.

The precise assumptions on coefficients will be stated in Section 4.

The proof uses completely different techniques, as well as the assumptions on coefficients.

Formal assumptions on coefficients of states and costs will be given later.

Problem (1 - 3) with the slightly different assumptions on coefficients is considered in Chipot [1], and existence and uniqueness of the solution is proved.

Based on the previous assumption, the coefficient of viscous dashpot that will absorb the energy of the waves originating at soil-pier interface is evaluated.

For sake of illustration, we restate the states of major-minor agents as follows, and give the necessary assumptions on coefficients.

This mathematical model uses an advection diffusion equation with specific assumptions and coefficients to estimate the dose of the particles delivered to the cells monolayer in the culture medium.

The aim is to weaken assumptions on coefficients (A_{i}^{alpha}) with Hölder continuity in the variables ((xi,u)) to the assumptions of Dini continuity, and to show a partial regularity result with optimal estimates for the modulus of continuity for the horizontal derivative Xu; see [1, 2] for the case of sub-elliptic systems with Hölder continuous coefficients.

According to the commodity technology assumption, technical coefficients for making the same product whatever industry produces them are coincident.