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In Figure 1, we show examples of published gene signature tables, uninformative form of gene signatures collected in other databases, and informative form of gene signatures that we derived through manual curation.
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The contribution of this paper is along those lines: we derive, through a methodology based on majorization techniques (see [15 17] and [18]), new bounds on the median eigenvalues of the normalized Laplacian matrix.
It is not illiberal to combine a humane solution to illegal immigration with a reasoned policy that respects our borders and our laws, balancing the strength we derive through welcoming new Americans with a realistic assessment of how many we can absorb.
We derived these through a combination of manual inspection of each evidence source, a previous study of the reliabilities of GO evidence codes (38), the benchmark results for the text-mining pipeline and score distributions for the sequence-based prediction methods.
We derived dietary patterns through a principal component analysis of energy-adjusted intake that used a density method for the 52 included food and beverage items (4 items that overlapped with others) [ 19].
Based on our previous discovery of an anthraquinone scaffold mimicking two faces of Bim α-helix, we derived a quinazolone scaffold through structure simplification and optimization.
We derived indirect energy inputs through multiplying costs by industry energy intensity factors (Table 4), because there is no energy inputs accounting in routine economic data.
Finally, we derived EQ-5D scores through aggregate mapping, by multiplying the raw non-normalized SF-36 scores onto the parameter estimates provided in Ara et al. [ 32].
Through simulations, we derived properties of causal variants and used them to develop a method for identifying likely causal SNPs.
We derived the basic approach midway through our work and tested a preliminary version with a number of organisations.
It implied that the weighted feature vector elements do not necessarily give better performance but the way, through which we derived the weights, is crucial for improving performance.
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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