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A feedback control law is designed based on backstepping algorithm and a sliding surface is introduced in the final stage of the algorithm.
This algorithm differs from the existing ones by being interactive, so that database administrators can adjust some energy sensitive parameters at the final stage of the algorithm execution according to their specifications.
Further in the few cases where the algorithm does not converge to a global minima, a local minima is assured because of the use of the gradient based local search in the final stage of the algorithm.
In the final stage of the algorithm, Socrates handles all clusters that have not been matched up as pairs in the previous stage.
The final stage of the algorithm, building the string graph and constructing contigs, is much shorter for the direct algorithm as the transitive reduction step does not need to be performed.
The final stage of the algorithm reconstructs circular discs from core sections such that these discs cover the entire region of each core regardless of the precise shape of the core.
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The probability of accepting the non-improving solution (P_{el}) is high at the initial stages of the algorithm ((P_{text{in}} approx 1)) and it is reduced gradually while the algorithm is repeated so that it approaches to a very small value at the final stages of the algorithm ((P_{text{f}} approx 0)).
An intuitive way for the determination of the step size is that the accumulated value of the SBI at the final stage of the JVSS algorithm must be greater than the accumulated ASPB value (14).
Recall that at the final stage of the PMPI procedure we employ the kmeans algorithm which seeks to minimize some error measure W K. This error measure holds the sum of all pairwise distances between members of the same cluster, across all clusters in the partition.
Algorithm 3, shows the final stage of the clustering process.
Thus, it has been proven that the VSS-GAL algorithm in steady-state recovers the target signal power at the final stage of the lattice filter.
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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