Abstract :
In this paper we shall study the problem of nonlinear separation. As usual, a Boolean function F of n binary variables, xl,..., xn, xiΣ{1,0}, i=1,..., n, will be represented by a set of vertices C in the n-dimensional Euclidean space Enwhere each vertex has n binary-valued components, {1,0}.
Keywords :
Contradiction equation, discriminate function, echolon matrix, high-order threshold function, homogeneous equation, miniimum degree ϕ function, orthogonal function, positivization, statistical recognition, successive higher ordering method, ϕ function of degree r, variable weight, vertex weight method, vertex weight.; Boolean functions; Councils; Equations; Contradiction equation, discriminate function, echolon matrix, high-order threshold function, homogeneous equation, miniimum degree ϕ function, orthogonal function, positivization, statistical recognition, successive higher ordering method, ϕ function of degree r, variable weight, vertex weight method, vertex weight.;