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The behavior of the mean Lyapunov curves near the right propagation zone boundaries explains how the disorder level governs the expansion of attenuation zones into propagation zones.
Solid black lines show the behavior of the mean E KL and PC quantities for each ΔT group.
To study the dynamic behavior of the mean field model (11) and (12), we assume the postsynaptic activation function is given by (10).
Solid black lines show the behavior of the mean V X, B Z, E KL, and PC quantities for each ΔT group.
The simulations confirm the proven results and also provide further insights, such as about the behavior of the mean of the I-class trajectories.
We prove that the backward Euler method can preserve the asymptotic behavior of the mean square stability of exact solutions under suitable conditions.
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I will also present some recent rigorous analysis results on the mean field limit and long time behavior of the resulting mean field partial differential equation.
Besides the sheer recovery of well-defined fundamental statistical quantities in the particular setting of phylogenetic studies, this study also demonstrates critical differences in the behavior of the posterior mean and the consensus tree.
The content of this section is intended to illustrate the behavior of the posterior mean and median, in comparison with the majority-rule consensus tree, which is, for instance, computed by MrBayes (Huelsenbeck and Ronquist, 2001).
Figure 4 Behavior of the root-mean-square errors in the porosity and the aspect ratio.
In particular, we are able to present not only the limit behavior of the leading eigenvalue (mean population fitness), but also the exact formulas for the limit quasispecies eigenvector for special cases.
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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