Sentence examples for derived an error from inspiring English sources

In particular, we derived an error estimate of optimal order for the convergence of the accelerated regularization.

This paper shows how to use the adjoint system of equations to derive an error measure for improving these types of functional.

To study the differences between these three schemes, we analyze the Taylor expansions, derive an error estimate, visualize the flux error and show how the schemes perform for a carefully designed p-i-n benchmark simulation.

It is shown that the difference (the enhanced strain) can be used to derive an error estimator that follows the notion of gradient averaging-type error estimators and resolves its issues when applied to Galerkin meshfree methods.

We derive an error estimator which shows that one needs to have an offline space with certain properties to guarantee that additional online multiscale basis function will decrease the error.

In the following we derive an error estimate in the 'energy-norm' for the variational problem (8).

In this section, we would like to derive an error estimation for the full-discrete solution ({u_{N}^{k}}|_{k=0}^{K}).

Lee et al. [6] present a static precision analysis technique which uses affine arithmetic to derive an error model of the design and applies simulated annealing to find out minimum bit widths to satisfy the given error requirement.

Then by choosing (epsilon=1/(lambda m^{frac{2}{3}})) and (lambda=(1/m)^{frac{2}{3(beta+1)}}), we can derive an error bound in the form of mathbb{E}_{{mathbf{z}},mathcal{A}} bigl( mathcal{E}bigl(f_{{mathbf{z}}, mathcal{A}}^{ls} bigr -mathcal{E}bigr -mathcal{ls}bigr) bigr) lE}biglde{C} (1/m)^{f_{rho}eta}{3(beta+1)}} for some C̃ independent with m, from the total error bound in the last section.

This test was repeated 200 times to derive an error rate, which represented the stability of the clustering result with respect to the permutation of samples.

For the 10% of 5-mers not well represented within the control genomes, GemSIM derives an error rate based on the relevant 4-mer (or 3-mer, for the one PhiX 4-mer mentioned above).