Spectral Methods in Logical Data Analysis

  • Authors:
  • V. S. Vykhovanets

  • Affiliations:
  • Pridnestrovsk State University, Tiraspol, Moldova

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2001

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Abstract

A discrete function of arguments of different digits is represented as a formula in a functionally complete base of operations. Bases consisting of two algebraic operations, a fixed set of functions, and functions from a given class are studied. Such a representation is related to spectral expansions. A synthesis method for polynomial and nonpolynomial forms is designed. Information and asymptotic estimates of the complexities of formulas are determined.