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For M max =32, i.e. increasing the maximum level of complexity to 32 pairs (note that this is equivalent to the problem with no constraint on the number of maximum pairs), the best solution found is the circuit 7 in Figure 3 with 14 active pairs.
Let us remind that the exhaustive search is possible only for low levels of complexity, since the computation time increases exponentially as the number of maximum pairs increases, as deduced from Eq. 9. Following the same strategy, we compute the Pareto front for M max =3.
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The maximum paired-distance (Dmax) value was extrapolated from the P r) distribution.
In addition, the maximum pair unique score for all pair-wise relationships was that observed between CGSSa00 and MRSA252, suggesting a highly significant degree of relatedness.
Based on the structure model of R2Δ, we also computed the theoretical radius of gyration (Rg) and maximum paired-distance (Dmax), and compared them with the experimental values.
The major differences in chromosomal aberrations occurring in lesions of clusters 1 and 2 were determined by the maximum pair-wise symmetrised Kullback-Leibler divergence.
The removal of this extremely divergent transcript resulted in a maximum pair-wise nucleotide divergence of 31.0% within KUNs and a maximum pair-wise amino acid divergence of 68.0%, reflecting the diversity of this toxin class, especially in comparison to LCNs.
For tests of prognosis and tumour biology, 133 SNPs were used, and 82 of these in 30 genes were determined to be independent by the multidimensional scaling procedure with maximum pair-wise r2 values of less than 0.2.
Applying the maximum pair consistency probability criterion, the three continuous variables are categorized, assuming that qtc is a normal variable, t a log-normal variable and bt a variable with a common central tendency.
To avoid confounding of the multidimensional scaling by including any nonindependent SNPs due to extended linkage disequilibrium, we thinned the data to 82 autosomal SNPs with maximum pair-wise r2 ≤ 0.2.
Some metagenomic (Bankevich et al., 2012) and single-cell assemblers (Vyahhi et al., 2012) try to find a path with maximum paired-end reads support; however, as the insert distance of transcriptome data usually cannot cover more than one branch (splicing junction) and there are multiple correct paths (isoforms) with paired-end reads support, these assembliers also fail to reconstruct the isoforms.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com