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The normal limit distribution of the number of false solutions of a system of nonlinear random equations in the field GF(2)
Репозиторій DSpace/Manakin
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The normal limit distribution of the number of false solutions of a system of nonlinear random equations in the field GF(2)
УДК:
519.21
Посилання:
The normal limit distribution of the number of false solutions of a system of nonlinear random equations in the field GF(2) / V.I. Masol, S.Y. Slobodyan // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 1-2. — С. 116–126. — Бібліогр.: 3 назв.— англ.
Дата:
2006
Переглядів:
1134
Завантажень:
463
Анотація:
The theorem on a normal limit (n→∞) distribution of the number of false solutions
of a beforehand consistent system of nonlinear random equations in the field GF(2)
with independent coefficients is proved. In particular, we assume that each equation
has coefficients that take values 0 and 1 with equal probability; the system has a
solution where the number of ones equals [ρn], ρ = const, 0 < ρ < 1.
