Sentence examples for corresponding continuity from inspiring English sources

For the one-dimensional fractional Hardy Littlewood maximal operator, we prove by means of counterexamples that the corresponding continuity statements do not hold, both in the continuous and discrete settings, and for the centered and uncentered versions.

In [18, 33], the proofs of the corresponding continuity results are highly dependent on the Brezis Lieb lemma [35].

The contact radius is obtained by requiring that the surface of the foundation satisfies the corresponding continuity equations.

Moreover, the discrete versions of Luiro's lemma (see [18, Lemmas 4 5]) have also played key roles in the proof of the corresponding continuity results in [18].

Audiences like continuity.

But we conservatives like continuity.

The method overcomes the need for C1-continuity along the patch interface to ensure a corresponding geometric continuity in the deformed configuration and a correct transfer of bending moments across the interface.

First, the electromagnetic state of the plate is determined by solving the strong form of the electromagnetic governing equations coupled with the corresponding interface continuity conditions and external boundary conditions.

Commutable fully discrete finite difference schemes of convection are then derived in a staggered grid system, and they are fully conservative provided that the corresponding discrete continuity is satisfied.

Let us recall the definitions of the weighted spaces and corresponding modulus of continuity.

The field equations and the corresponding boundary and continuity conditions of the nonlinear analytical model are derived via the variational principle of virtual work.