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Applying divergence rates ranging from 4 to 6.86% per Myr for the third codon of COI, the most recent common ancestor of all of the E. quimperiana populations (and 95% HPD) would have lived between 1 (0.64–1.45) to 0.6 (0.37–0.84) Myr ago (Table 3).
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A modification of the applied divergence criterion to avoid false alarms has been proposed and tested.
Using the equations of motion (8 2 and (8 3 for the difference solutions and applying the divergence theorem, because of null boundary conditions, we are led to begin{aligned} int_{Omega } ( tau_{ij}dot{varepsilon }_{ij}+sigma_{ij} dot{gamma }_{ij}+ mu_{ijk}dot{chi }_{ijk} ),dV=- int_{ Omega } ( varrho ddot{u}_{i} dot{u}_{i}+I_{jk}ddot{varphi } _{js}dot{varphi }_{ks} ),dV.
Applying the divergence operator ∇⋅ to the first equation of (1.1) produces the expression of the pressure p = − 1 ∇ ⋅ ( v ⋅ ∇ v ).
Applying the divergence free theorem in its integral form leads to the equality int_{vartheta_{Omega_{alpha}}}frac{partial{V}}{partial{r}} ds=int_{vartheta_{Omega_{beta}}} frac{partial{V}}{partial{r}}ds.
Integrating (2.7) with (u=u_{k}) over G and then applying the divergence theorem, we observe that begin{aligned} M[u_{k}] geq& int_{G} A x) biggl[bigglvert nabla u_{k} -frac {u_{k}B x)}{A x)}biggrvert ^{alpha+1}+alphabigglvert frac{u_{k}}{v}{nabla v}biggrvert ^{alpha+1} &- (alpha+1) biggl nabla u_{k} -frac{u_{k}B x)}{A x)} biggr)Phibiggl(frac{u_{k}}{v}{nabla v}biggr) biggr],dx geq0.
When more appropriate priors are used for divergence-time and demographic parameters, and either a Dirichlet-process or uniform prior applied across divergence models, the model is less sensitive to violations, and, when violations do cause bias, the method tends to underestimate the probability of models with temporally clustered divergences.
end{aligned}We now integrating this identity over (N) and apply the divergence theorem.
To determine the underlying cause of this behavior, ensemble ICA was applied to divergence responses.
Further, we apply a divergence correction technique designed specifically for 3D anisotropic models to speed up the modeling process.
end{aligned} (21) Integrate equality (21) over (D x_{3})), apply the divergence theorem, and use the lateral conditions (14); we get the equality (16).
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