Extensions to Chua's explicit piecewise-linear function descriptions

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In this paper, we extend the class of explicit piecewise linear descriptions in the modulus form that was recently introduced by Chua cum suis. This is achieved by transforming a special form of a more general implicit description given by Van Bokhoven (1981) using the modulus transformation. This results in a set of base functions that can be used to compose the more general explicit description. It is shown that with this set all previously presented explicit PL descriptions can be covered. Furthermore, we pose some problems that occur when trying to construct an even more general description. >