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The simplest form of a biplot is the Principal component analysis (PCA) biplot which optimally represents the variation in a data matrix [ 1].
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Figure 5 presented the parameters of a uniform electrojet current between two latitudinal boundaries which AFM found to optimally represent the perturbations measured by the Polaris array on November 8, 2007.
Exploiting this fact, an algorithm with lowered complexity referred to as RedCom algorithm can be found which optimally solves (20).
On the other hand, at the end of the optimization, the cell locations in the atlas should optimally represent all image voxels.
The third step involves the identification of inter-residue interactions which optimally orients the secondary structures, linked by loops.
In order to address these problems, we applied multi-variate decoding analyses, which optimally linearly combined signals.
This violated the assumption made by the imputation model implemented in Amelia II, which optimally requires multivariate normally distributed data.
The opposite situation holds for the heterozygote immune system, which optimally clears the virus faster and with less effort.
This analysis reveals the number of K-clusters, which optimally illustrates the differentiation between populations.
The aim of the tailoring process is to generate few scenarios that can optimally represent the spectrum of climate scenarios.
Each such mode may be viable as representing an architectural object just in case some features of the object are adequately, accurately, regularly, and optimally represented through the mode.
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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