School of Mathematics and Physics, Jinggangshan University, Ji’an, China. The fundamental problem of approximation theory is to resolve a possibly complicated function, called the target function, by ...

I just noticed that the textbook lacks an example relevant to this exercise group, which is a type of problem we frequently assess: Given a piecewise-defined function, we want to know if it is ...

Abstract: It is well-known that solutions to parametric linear or quadratic programs are continuous piecewise affine functions of the parameter. In this paper we prove the converse, i.e. that every ...

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 ...

Abstract: 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 ...

[1] S. Busenberg and K. L. Cooke, “Models of Vertically Transmitted Diseases with Sequential-Continuous Dynamics, Nonlinear Phenomena in Mathematical Sciences ...

The Journal of Integral Equations and Applications, Vol. 15, No. 3 (FALL 2003), pp. 263-320 (58 pages) ...