Generation of two-variable functions based on the polynomial approximation

This paper describes how to generate uniformly continuous functions of two variables without making any vertex. In this system, all functions are obtained as an algebraic sum of linearly independent two-variable polynomials with each weight. Then, the polynomials are given by simulating nonlinear currents passing through semiconductors with dual control electrodes in their uniformly continuous regions. The proper weights can be uniquely determined by solving a matrix equation related to the characteristics of both the desired function and the semiconductors used in this system. Different functions can be produced by adjusting the weights. The usefulness of this system is successfully proved by experimental results.