DocumentCode :
1101110
Title :
An Approach for the Realization of Threshold Functions of Order r
Author :
Hwa, H.R. ; Sheng, C.L.
Author_Institution :
IEEE
Issue :
10
fYear :
1969
Firstpage :
923
Lastpage :
939
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.;
fLanguage :
English
Journal_Title :
Computers, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9340
Type :
jour
DOI :
10.1109/T-C.1969.222548
Filename :
1671141
Link To Document :
بازگشت