• 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
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1101110