Romashova L. Conditions of convergence to the zero of probability of existence solutions of a system of random equations with n unknown quantities over the field GF(3) in the specified set of vectors at n which tend to infinity

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0410U000396

Applicant for

Specialization

  • 01.01.05 - Теорія ймовірностей і математична статистика

25-01-2010

Specialized Academic Board

Д.26.001.37

Essay

The thesis is devoted to finding necessary and sufficient conditions of convergence to zero of probability of existence of solutions of systems of random equations (linear and nonlinear of the second order) over the field GF(3) in the specified sets vectors of possible solutions. In particular, necessary and sufficient conditions of convergence to one of probability of existence unique solution indicate systems in condition that n grow up.

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