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By randomizing the parameter λ in Equation 30 to λ + σ ξ (t), where ξ ( t ) = dB ( t ) dt Open image in new window is a white noise of zero mean, we have the usual stochastic Verhulst equation describing more precisely the population dynamics dx ( t ) = x ( t ) ( λ - x ( t ) ) dt + σ x ( t ) dB ( t ), Open image in new window (31). in which λ and σ are positive constants [13, 14, 15].
The initial global survey by Luikart et al. [13] has been followed by regional studies describing more precisely the genetic diversity of goat breeds.
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We now describe more precisely the mathematical problem.
In the following, we describe more precisely the Gibbs sampler and its properties.
Finally, a modeling approach was designed to describe more precisely the intuited regularities and singularities of these 3 categories.
Using this information, we were able to describe more precisely the current livelihood security strategies for each group identified in the multivariate analysis.
Mathematically modeling the 'downstream sense, upstream antisense' tiling array signal to describe more precisely the transitive activity and reduce the dimensionality might improve the performance of the SVM.
In summary, as we showed in this paper, adding the new information provided by SiLAD, all differential proteins will be under a re-category, and their dynamic curve can be described more precisely, the novel information about protein degradation, modification and so on gives us a much more comprehensive picture of the proteins in a cellular context.
Most importantly, we address these questions using a variety of phylogenetic approaches, including consideration of the 'deep coalescent' [25] methods that account for intraspecific variation and shared allelic variation among species to describe more precisely the radiation of species and to define portions of the phylogeny that are likely to be problematic because of rapid ancestral radiations.
Landgraf et al. [ 14] have described more precisely the dissection of carcasses.
This will allow us to describe more precisely the relationship between social interaction and anxiety-like behavior.
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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