Suppose that ƒ(x) = 2√x - 1. The formula in terms of x for each of the functions is: The graph was shifted to the right 1 unit, and stretched vertically by a factor of 2. Suppose we were given the ...

This program will generate the following four files describing a dataset of k pieces and a maximum degree of complexity n on the interval [0,1): dataset_k_n_about.txt : this file will contain the ...

Where math, technology, and education cross. Piecewise-linear calculus part 2: Getting to smoothness By Robert Talbert January 12, 2010 Image via Wikipedia ...

We study representations of piecewise-smooth signals on graphs. We first define classes for smooth, piecewise-constant, and piecewise-smooth graph signals, followed by a series of multiresolution ...

But in many applications for nonlinear and nonsmooth functions, we are faced to some problems. In fact, piecewise linearization is a more efficient tool for finding approximate solutions. Some ...

One of the most important properties of neural nets (NNs) for control purposes is the universal approximation property. Unfortunately,, this property is generally proven for continuous functions. In ...