Sentence examples for to prove error from inspiring English sources

Theoretically, we are able to prove error estimates that explicitly show the dependencies with respect to the wavenumber ω, the mesh size h, and the polynomial degree p. But the current state of the theory does not fully explain the remarkably good numerical phase errors.

From [7], we state two lemmas for the properties of the dispersion-diffusion tensor, which will be used to prove error estimates for the concentration.

In order to prove error estimates, we introduce the new norm begin{aligned}& |theta|^{2}_:=lambda t^{-2} |theta|^{2}_{0}+a(theta,theta).

He also agreed with Assured Guaranty that the insurer doesn't have to prove errors in specific loans caused specific losses, but merely that the shoddy underwriting practices made the policy riskier than Assured expected.

824, 828, 17 L.Ed.2d 705 (1967), which requires the prosecution to prove constitutional error harmless beyond a reasonable doubt, no longer applies to any trial error asserted on habeas, whether it is a Doyle error or not.

To prove the error estimate for the proposed method, we need the generalized Hardy's inequality and estimates for the interpolation error (see [4, 10]).

Sufficient conditions are given to prove estimate error stability.

Lyapunov stability theory is adopted to prove the error convergence of the ASGSMO for the SOC estimation.

The baby girls were returned to the correct parents by the hospital 102 days later, but only after the women paid for their own DNA tests to prove the error.

It remains to prove the error estimate (6.6).

To prove the error estimate in the weighted L 2 -norm, we first introduce some lemmas which are usually required to obtain the convergence results.