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During the growth of sand patches, sand particles transported from upstream are incorporated into sand patches and decelerated (like cars on a congested road); this local state is not in equilibrium, but in a stochastic (statistical) sense, it does not violate the equilibrium of the entire system, because sand patches repeatedly appear and disappear in many places.
For an HWE diploid population, chromosome duplication operating on particular loci can violate the equilibrium status of the population.
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To overcome the difficulty, we make use of the F min ( x ) C-functions to construct the penalty of violating the equilibrium constraints.
This model does not satisfy the zero-shear-stress boundary conditions at the free edges of the adhesive layer due to the inherent flaw of the two-parameter, elastic foundation model, which violates the equilibrium condition of the adhesive layer.
It has proven that chromosomal duplication may violate the Hardy-Weinberg equilibrium of the population.
None of the 8 SNPs violates the Hardy Weinberg equilibrium assumption (minimum p-level = 0.12).
Figure 4 Simulated time courses of ECM concentration with the parametric values given in Table 2 and (pmb{p geq1.76}) in which case conditions in Theorem 2 are violated and the equilibrium is unstable.
"Violate personal space, violate manners, violate the law.
But did they violate the truce?
Many small businesses already violate the rules.
But does that violate the law?
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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