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News of the Kabardin-Balkar scientific center of RAS, 1999, Issue 1, Pages 46–50 (Mi izkab859)  
MATHEMATICS

On estimating the complexity of threshold functions in terms of analogues of spectral norms

Z. M. Shibzukhov

Institute of Applied Mathematics and Automation, Nalchik
Full-text PDF (1495 kB)
Abstract: The class of Boolean, ternary and multivalued functions is considered. The complexity of the threshold representation of such functions is estimated and the class of threshold functions of polynomial complexity is characterized in terms of an analogue of $L_1$-the norm.
Keywords: threshold function, Boolean function, spectral norm
Document Type: Article
UDC: 681.32
Language: Russian
Citation: Z. M. Shibzukhov, “On estimating the complexity of threshold functions in terms of analogues of spectral norms”, News of the Kabardin-Balkar scientific center of RAS, 1999, no. 1, 46–50
Citation in format AMSBIB
\Bibitem{Shi99}
\by Z.~M.~Shibzukhov
\paper On estimating the complexity of threshold functions in terms of analogues of spectral norms
\jour News of the Kabardin-Balkar scientific center of RAS
\yr 1999
\issue 1
\pages 46--50
\mathnet{http://mi.mathnet.ru/izkab859}
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