Response: Notwithstanding the merits of the analogy, we agree that the Preston curve can be modeled empirically using a variety of mathematical functions with a converging asymptote.
All curved and planar surfaces as well as curves and lines must be described by using the same class of mathematical functions.
This process of evolving combinations of mathematical functions using natural selection is carried out for l generations allowing the algorithm to explore a maximum of n = m × l possible models.
Jmol, the interactive 3D molecular viewer, is one of the most widely used chemistry applets, and indeed has seen widespread use in other fields such as biology and even mathematics (it is used for 3D depiction of mathematical functions in the Sage Mathematics Projects [32]).
Using regression technique, in MINITAB Software, three types of mathematical functions (linear, curvilinear and logarithmic) have been fitted to the experimental data (Asokan et al. 2008): Models representing the relationship between process parameters and output characteristics can be stated in Eqs.
Thus, in current study, extending the novel idea of using parametric mathematical functions, design variables are correlated to the geometrical properties of domes through a new point of view.
There has been a long history of using parsimonious mathematical functions, e.g. the Fourier series, to describe periodic biological processes [13], [14].
Using a negative binomial distribution model as a natural history model, the effect of IFNβ-1b was evaluated using different mathematical functions of time.
This method uses parameters, such as base shear, stiffness, drift, rotation of an element, energy, and, in some cases, dynamic characteristics of a structure (mode shape and natural period of vibration) to calculate the state of damage using mathematical functions.
