An Approach for the Realization of Threshold Functions of Order r

In this paper we shall study the problem of nonlinear separation. As usual, a Boolean function F of n binary variables, x
l
,..., x
n
, x
i
Σ{1,0}, i=1,..., n, will be represented by a set of vertices C in the n-dimensional Euclidean space E
ⁿ
where each vertex has n binary-valued components, {1,0}.