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It is shown that our algorithms converge strongly with an error bound of the order O(1/N).
Moreover, he applied this result to prove that every analytic function can be approximated in a neighborhood of by the Legendre function with an error bound expressed by (see [13 16]).
To test for the effect of the error bound, the same simulations were performed with an error bound of 10−8 for the flow and coupling iteration (see Section 2.6); stopping criterion tolerance was reduced by a factor of 1.000.
We estimated that a sample size of 371 would be required to estimate an assumed prevalence of 0.5 of various aspects knowledge about CHD at a confidence level of 95% with an error bound of 0.05.
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It is shown how such an error bound can provide an estimate of error in the modelling of wave propagation in structure with damage.
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.
Then an error bound of (GMVE) is presented.
The efficiency of the proposed CLDA algorithm is theoretically studied and an error bound is derived.
Moreover, we show that a suboptimal solution to optimal control problems with a known error bound is obtained by simulating the optimal path of an approximately bisimilar finite abstraction.
The threshold database tabulated by the fuel oxidation progress variable is used to generate a dynamically reduced mechanism with a specified error bound by using the Path Flux Analysis (PFA) method.
An output tracking performance is well achieved with a tunable error bound.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com