On a class of discrete functions

Abstract

We consider classes of functions which depend in a certain way on their variables. The relation between the number of H-functions of n variables of the k-valued logic and the number of n-dimensional Latin hypercubes of order k is found. We have shown how from an arbitrary Latin hypercube we can "construct" (present in table form) an H-function and vice versa - how every H-function can be represented as a Latin hypercube. We extend the concepts of H-function and Latin hypercube.