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Let x=x1+x2 be an arbitrary split of the hedger's endowment.
The bar for inclusion on the main stage was seemingly designed to be an arbitrary split among a group of candidates whose polling is almost completely identical.
But even for those who are, it's worth mentioning that a mutual-fund company, with regulated duties both to shareholders and to customers, already faces essentially an arbitrary split of responsibility to those two competing groups.
The approach presented here is especially sensitive to the presence of genes having extremely variable expressions [27], which could not be presented equally after arbitrary split of the group into two subgroups for subsequent controlled changes and analysis.
Therefore, in this evaluation we introduced an arbitrary split of left (a) and right (b) parts of chromosomes 1, 3, and X.
This may be due to the fact that the artificially set threshold values and the arbitrary split into three resistance classes is not completely reflected in real mutation patterns.
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We further show that external and internal quantity based incentives can restore channel coordination in single period and channel members can benefit through arbitrary splitting of the resulting additional chain profit.
The use of the multiple arbitrary splits and analysis of resulting differences in gene expressions between "equal" subgroups (before introduced changes) will help to observe real non-homogeneity and estimate its contribution into all subsequent results.
A good source separation method avoids mixed components that contain both, neural and artifactual activity as well as arbitrary splits of a single source into several components.
For the PEN contract, however, it can be shown that the design enables SC coordination and, depending on the parameter setting (including a maximum penalty restriction), guarantees an arbitrary profit split.
But if (mathbb {D}_{c}) stable partition of (mathcal {G}^{l}) exists, the merge-split rule converges to this partition because the optimal (mathbb {D}_{c}) stable partition is the unique outcome of any arbitrary merge-split rule operation [24].
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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