Sentence examples for this estimate holds from inspiring English sources

Moreover, besides the global relation τ ℓ ≲ ϱ ℓ between the two-level error estimator τ ℓ and the residual error estimator ϱ ℓ, we proved that this estimate holds even locally (Theorem 12).

Since this estimate holds for any, we can write (3.9).

If (alphageq1) and (c=0), then this estimate holds if and only if function f satisfies (60).

Since this estimate holds in the same way for all (q in Q), this already means that the solutions (u(cdot)) of (15), i.e. the set (varphi(Q)), are uniformly bounded in the (C^{1} -norm.

In the ((M_p)) case, fix (0<h'<1) and let (C'>1) be the constant for which (4.4) holds and in the ({M_p}) case, let (h',C'>1) be the constants for which this estimate holds.

From Theorem 4.8 we deduce that the property of uniform exponential stability of a system of variational difference equations is preserved in the presence of structured perturbations, provided that the norm of the perturbation factor is less than and this estimate holds for any sequence space in the general class.

From this, using (2) we can deduce that for all (tin[0,t_{0}]) the following estimate holds: |xi_{t}|leq c, with some constant (c>0) independent of t.

One apparel industry estimate holds that 30percentt of clothes in larger sizes are private-label or store brands.

If that preliminary estimate holds, it would be the largest drop since 1960, when the organization began collecting such data.

the following estimate holds: (2.31).

Then following estimate holds (54).