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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).
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In the following we derive an error estimate in the 'energy-norm' for the variational problem (8).
In particular, we derived an error estimate of optimal order for the convergence of the accelerated regularization.
In this section, we would like to derive an error estimation for the full-discrete solution ({u_{N}^{k}}|_{k=0}^{K}).
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.
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.
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 order to maintain a generic performance comparison irrespective to any channel estimation technique or type of CSI errors, these errors are simulated by adding a complex random deviation to the channel coefficients available at the transmitter to derive an error in the estimated coefficients of (25).
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.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com