Exact(1)
After the modification, the error vector ( hat {boldsymbol e}_{5}) will be edited as ( hat {boldsymbol e}_{5}=~left [0,0.052,-0.0004,0right ]).
Similar(59)
Since this approach is not computationally feasible for practical applications, an ad hoc modification of the error function profile employed in generating flamelet libraries is proposed for the scalar dissipation rate to account for the chemical reactions and the results show an improved performance compared to the traditional flamelet approach.
In addition, large modification indices for the error covariances indicate local dependence.
We analyze the types of errors made by the algorithm, propose design modifications to decrease the error rate, and experimentally verify that the new approach achieves statistically significant performance improvement.
For these modifications, we allowed the error terms of the following measures to co-vary higher than with other variables.
We introduce an algorithm modification that significantly reduces the error, especially for low and high fringe densities.
Modification indices called for the error covariance between items 5 and 6, and items 7 and 8 to be freely estimated.
We modeled the modification position error (x n − z n ) between the observed modification position x n and the true modification position z n with a discrete probability distribution, given as (4) where the likelihood function ϕ accounts for the modification position error.
Then, we determined the average modification position for each group (rounded to the nearest position) and computed a histogram of the modification position error.
Given the failure of the CFA, and the suggestion by the Modification Indices that the errors of many items should be correlated, this suggests that local dependency among clusters of items may have contributed to the failure, and that these are predominately found within the items sets of the four domains.
Though this improvement appears to be but a slight modification to their original algorithm, the error encountered when attempting to satisfy the incompressibility constraint is reduced dramatically (by a factor of 1011), producing velocity fields which are divergence-free to within machine precision.
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