The boundedness of chaotic systems plays an important role in investigating the stability of the equilibrium, estimating the Lyapunov dimension of attractors, the Hausdorff dimension of attractors, the existence of periodic solutions, chaos control, and chaos synchronization.
Their model, which they validate using evidence from randomized microfinance evaluations, shows that long-run general equilibrium effects of microfinance could be different from the partial-equilibrium estimates from randomized evaluations.
We then used PhyML v3.0.1 (HKY85 model, optimised equilibrium frequencies, estimated ts/tv ratio, estimated proportion of invariable sites, 4 substitution rate categories, estimated gamma distribution parameter, NNI tree topology search, 100 bootstrap iterations [ 41]) to obtain the phylogeny.
This comparison represents the specification test of our model, in the same spirit as the comparisons of experimental and non-experimental partial equilibrium estimates in LaLonde (1986) and other, similar papers in the treatment effects literature.
Additionally, this study constitutes a warning against the misuse of equilibrium estimates of migration among recently-diverged groups.
Equilibrium estimates of gene flow suggest widespread introgression between species, but coalescent estimates describe virtually zero admixture between most (but not all) species pairs.
For each locality, allele frequencies were then calculated for each locus and departures from Hardy-Weinberg equilibrium were estimated using the Weir and Cockerham [ 37]'s estimator f and tested with 1000 permutations.
From the change in equilibrium when BtuB is moved from the bilayer to the crystal environment, the free energy of this conformational equilibrium is estimated to shift by about 3 kcal/mol.
The optimum separation was found to be equivalent to at least 5.4 equilibrium stages (estimated at total reflux conditions).
In Chile a fiscal law obliges the government to run budget surpluses whenever the economy is at full employment and the copper price is above its long-run equilibrium, as estimated by an independent panel.
The equilibrium time estimated for UV/vis spectroscopic (BH) method was 240 min and for the cyclic voltammetry (EC) method was 310 min.
