Asymptotic properties of the set of solutions for the distorted systems of equations | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2014. № 7 (Приложение).

Two homogeneous systems of equations with functions of k-valued logic are considered. The functions in the second system are obtained by independent random distortions of the functions in the first one. It is proposed that the number of equations and variables in these systems increase. For the sets of their solutions, some conditions on probabilistic properties of distortions are formulated. Among them are the conditions under which (1) the probability of equality of these sets aspires to 1; (2) the probability of their intersection aspires to 1; and (3) the number of common solutions in them has a binomial limit distribution.
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  • Title Asymptotic properties of the set of solutions for the distorted systems of equations
  • Headline Asymptotic properties of the set of solutions for the distorted systems of equations
  • Publesher Tomask State UniversityTomsk State University
  • Issue Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics 7 (Приложение)
  • Date:
  • DOI
Keywords
distorted functions, functions of k-valued logic, system of equations, искажённые функции, функции k-значной логики, системы уравнений
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References
 Asymptotic properties of the set of solutions for the distorted systems of equations | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2014. № 7 (Приложение).
Asymptotic properties of the set of solutions for the distorted systems of equations | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2014. № 7 (Приложение).
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