Sentence examples for be the initial data from inspiring English sources

Let ((rho_{0}, u_{0})) be the initial data as described in the theorem, and define (rho_{0}^{delta}:=j_{delta}astrho_{0}), (u_{0}^{delta}:=j_{delta}ast u_{0}), where (j_{delta}=delta^{-1}j x/delta)) is the standard mollifier.

Lemma 3.2 Let u0i(x) be the initial data for (1.1) -(1.3) such that u0i(x) are smooth, satisfy the compatibility condition at the boundary and ( u 0 i p i ) x x ≥ 0. Then u i (x, t) increases in time, i.e., u it (x, t) ≥ 0 (i = 1, 2,...,k).

The comparison would be the initial data from the approval batches with the initial data from the changed batches.

These issues have also been raised by Forte [4], a pioneer in 3D modeling of cultural heritage: "Noticeable gaps are represented by the fact that the models are not "transparent" in respect to the initial information (what were the initial data?) and by the use of peremptory single reconstruction without offering alternatives".

The first step in the proposed workflow is the initial data acquisition.

Beard has been conducting a review of the reablement service and although greater achievements in service delivery can be achieved, the initial data on the benefits of reablement services are positive.

Of course, (( u_{i}^{(d)},varphi_{ij}^{(d)},theta^{(d)} ) ) satisfies the problem ({mathcal {P}}) in the particular case when all the elements of external data are zeros, the initial data are null and also with null boundary conditions.

Another is that the initial data and observational constraints are different because of course time has moved on, so we have more data with which to constrain the models and a different set of starting conditions.

Once eligibility is established, families are contacted for the initial data collection home visit where written informed consent is obtained.

18 An augmented data set was created where the initial data set is replicated a number of times equal to the different causes of death.

They are independent of the initial data and are precisely the scattering resonances see Sect.