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Our results are analytically exact, and supported by numerical evaluation of the density of states and electronic transmission coefficient.
Estimations of the bulk and shear relaxation functions as well as the creep functions are provided by numerical evaluation of the integral operator.
We demonstrate the analysis by numerical evaluation of the eigenvalues and eigenvectors for various scenarios mentioned before.
By numerical evaluation, we find that with the increase of number of random trajectories, the performance of the proposed rollout-based scheme gets close to the optimal performance.
This is supported by numerical evaluation of the Hessian in a couple of example cases, which we now outline.
That there are likely to be exactly this number of estimable parameters is supported by numerical evaluation of the Hessian matrix of the hazard function.
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Actually, JGMD will act as the major decomposition approach for every two submatrices, thanks to the high existence probability, which is validated by numerical evaluations in the next section.
By numerical evaluations we first show that MARL, although theoretically optimal, exhibits large complexity even for small systems; Second, very similar performance to the enhanced LS-SCVX can be obtained with ELCI but with much lower complexity.
By a numerical evaluation of test accuracy the required number of particles is obtained.
The actual elastic field is obtained by a numerical evaluation of the inverse transform.
A multi-pulse protocol allowing for a significant background current correction was further modified here by a numerical evaluation of the electrolysis end-point.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com