The proposed control family includes a large class of saturated-type
hyperbolic function terms; the hyperbolic structure depends on k as a power function.
Caption: FIGURE 8: Prediction model for the settlement of driveway: (a)
hyperbolic function; (b) logarithmic function; (c) power function; (d) exponential function.
This is done as relatively rapid changes in indifference points are observed at relatively shorter delay values, whereas changes become less pronounced out at relatively longer delay values, which is characteristic of
hyperbolic functions.
By using the method, we have obtained new exact solutions in terms of the
hyperbolic functions, the trigonometric functions, the exponential functions, and the rational functions.
Table 2--Estimates of the Linear
Hyperbolic Function' parameters for the different age classes and calving seasons.
Properties on
Hyperbolic Functions. Some properties on
hyperbolic functions will be used.
From the limit forms of the elliptic function solutions, we obtain some trigonometric and
hyperbolic function solutions which include periodic blow-up, blow-up, and smooth solitary wave.
A
hyperbolic function (1) was used to describe the amplitude-energy relationship at various fixed times.
Every element of the artificial neural network consists of the scalar vector of the input signal multiplied by the weight factor (which is argument of activation of
hyperbolic function).