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For the generation of optimal crystallizer designs, mathematical optimization techniques are used that allow a flexible formulation of constraints and an objective function.
Here, we extend the formulation of constraints from [ 7] to polyploid biallelic populations of genotypes.
Additional computational method development led to the formulation of constraints for flux balancing from measured flux ratios [ 48, 49].
A strict lexicographic ordering can be achieved by the formulation of constraints that become true if h1 is strictly smaller than h2, h2 is strictly smaller than h3, and so on.
If the formulation of constraints for a site is omitted, the SAT solver uses a set of haplotypes inferred from other unphased genotypes, provided that these haplotypes are compatible with the known sites of the unphased genotype containing missing information.
With the SAT approach, no assumptions are made for individuals that contain SNP sites with no information available, i.e. the formulation of constraints for the corresponding individual and SNP site is omitted.
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The algorithm introduced in this study, FVSEOF with GR constraints, starts with formulation of GR constraints, which are based on the genomic context and flux-converging pattern analyses.
The exact formulation of interference constraints will depend heavily on the medium access control protocol being used by the UWSN.
Therefore, it is necessary to avoid carefully the formulation of improper constraints that would make the problem unsolvable.
To avoid the use of very large weights, an alternative is represented by the explicit formulation of the constraints (4) in the problem.
The formulation of the constraints is based on numerical simulation of freshwater flow equations obtained from the sharp interface and the Ghyben–Herzberg approximations and the single potential formulation of Strack.
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