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More specifically, the implemented variant of LLL algorithms with deep insertions is to replace steps S12 to S15 of Algorithm 1 with the following deep insertion process [35] in Algorithm 2. Pseudo-codes of the LLL algorithm with deep insertions.
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For the past 14 years, authorities have steadily and silently implemented variants of the proposed Muslim exclusion.
For example, several methodology studies [ 44- 46] have implemented variants of the Expectation-Maximizing (EM) algorithm to simultaneous search for the unknown canonical patterns and the unknown mixing ratios in gene expression data.
SVA also provides for flexible interaction with software implementing variant association tests allowing users to consider both the bioinformatic annotation of identified variants and the strength of their associations with studied traits.
Table 1 presents the implemented model variants as well as the data formats for each program, whereas Figure 1 illustrates example program calls together with their corresponding output.
A computational analysis and comparison using ANOVA indicates that improvements towards a better optimal solution can be gained by implementing variants of the simulated annealing algorithm.
In addition, little speed gains can be obtained by implementing variants of the simulated annealing algorithms that are coupled with other algorithmic concepts.
Each developer or development organization is responsible for a variant and implements the variant according to the specification (Gärtner [1999]; Laprie et al. [1990]; Pullum [2001]).
Moreover, in order to examine the difference in performance of appro2-1 as described in Section 2.2.2 and appro3-1 as described in Section 2.2.3, we implemented the variant of the forward backward algorithm for computing { p a, x, x ′) ik, jl } i < j, k < l in the ProbCons model (Do et al., 2005).
TCP-Reno has been the most widely implemented TCP variant [18, 19] which we study in this paper.
We also implemented a variant of the Nygren et al. atrial model with the following concentrations held constant: [K+] i, [K+] c, [Na+] i, [Na+] c, and [Ca2+] c [ 12].
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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