The first two models depend on the Hurst exponent H, and the last one is designed for small data lengths, in which the number of IMFs after EMD is obtained based on the regularity of the signal, and depends on an index measure of regularity.
The formula of regularity index is as follows: NSSPx4/PP × 100, where NSSP represents the number of normal step sequence patterns and PP the total number of paw placements.
The refinement is based on an estimate of the local Sobolev regularity index of the underlying solution by monitoring the decay rate of its Legendre expansion coefficients.
A family of good adaptive meshes should satisfy (h=O(h_{min}^{alpha})), where h is the mesh size, (h_{min}) is the diameter of the smallest element, and α is the regularity index of the biharmonic equation over the domain with reentrant corner (see [18]).
Violet cones had a slightly lower mean regularity index of ∼6.4.
We generated random distributions of photoreceptor 'Y' that matched the density and mean regularity index of the real 'Y' mosaics using a sequential addition, 'hard disk' model (see Materials & Methods for details) [26], [51], [52].
ORs estimated by logistic regression models adjusted for matching factors and age at blood draw, alcohol intake, body mass index, regularity of menses and pack-years of smoking.
RR and 95% CI were estimated by using conditional logistic regression models including matching factors and further adjusted for age at blood draw, alcohol intake, body mass index, regularity of menses and pack-years of smoking.
Under the assumptions of regularity, asymptotic stability and index one property of the descriptor system representing the structure with tuned mass dampers, optimization criterion is defined in terms of H∞ norm of the system.
