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Title of Article

IMPROVED UPPER BOUND ON THE COMPLEXITY OF REALIZING AN ARBITRARY BOOLEAN FUNCTION BY SCHEMES OF FUNCTIONAL ELEMENTS FROM THE STANDARD BASIS EMBEDDED INTO A UNIT CUBE


Issue
5
Date
2012

Article type
scientific article
UDC
519.714
Pages
201-207
Keywords
 


Authors
Sadovnikov Oleg Aleksandrovich
Moskovskiy gosuniversitet im. M.V. Lomonosova


Abstract
A model of schemes of functional elements from the standard basis embedded into an n-dimensional Boolean cube (hypercube) is considered. Quasihomeomorphic embedding is chosen to place the schemes into the hypercube. The behavior of the Shannon function is established for the unit cube dimension. The unit cube can be embedded by the scheme realizing an arbitrary Boolean function.

File (in Russian)