They represent an extension to standard Fourier analysis, allowing both the amplitude and the phase functions to vary spatially over the support of the image, following changes in local texture and brightness.
Although our model allowed incidence functions to vary between sexes, for future work, it would be interesting to extend our modelling framework to directly estimate sexual mixing patterns ('who acquires infection from whom'), which was a popular approach for respiratory infections [39,40] prior to the availability of empirical social contact data [41].
This paper presents an innovative application of a hyperbolic tangent sigmoid (HTS) function to vary the time-varying pole-radius (TVPR) of the pole-zero-constrained (PZC IIRR notch filter to optimally attain these two requirements together.
Each vibration problem is formulated as a distributed-parameter shape optimization problem, and the derived shape gradient function is applied to the H1 gradient method for the shells proposed by the authors, where the shape gradient function is used as a distributed force function to vary the surface.
This is accomplished by allowing the size of the labor supply parameters for men and women in the utility function to vary in terms of unobservables.
Allowing the power function to vary is necessary because the relation between risk and the linear z score may not fit a logistic regression model.
Furthermore, we used a Poisson regression model including spline functions of FEV1, which allowed the hazard function to vary with a greater freedom and still correspond to a smooth curve.
Moreover, allowing two parameters (only μ or only λ) of the Richard's growth function to vary between the low and high density pre-mating groups resulted in significantly better fit than a model that had the same parameters across both pre-mating groups (Table 4).
Clearly, the functions of Dicer and Drosha are not fully understood in cancer development, and their functions appear to vary between different cancer types [ 42– 42].
Furthermore, a hyperbolic tangent function in conjunction with a sharpness function permitted to vary with time according to a set of user-defined parameters is implemented to offset the disadvantages of existing saturation-respecting controller and chattering.
Its function seems to vary according to its physiological role, serving as a co-repressor of catabolic gene expression (Christian et al., 2005; Seth et al., 2007) but as a co-activator of inflammatory gene expression (Zschiedrich et al., 2008; Nautiyal et al., 2010).
