Geodesic
On the asymptotic normality of the
Teoriâ slučajnyh processov, Tome 13 (2007) no. 1, pp. 144-151.

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The theorem on a normal limit ($n\to\infty$) distribution of the number of false solutions of a system of nonlinear Boolean equations with independent random coefficients is proved. In particular, we assume that each equation has coefficients that take value 1 with probability that varies in some neighborhood of the point $\frac{1}{2};$ the system has a solution with the number of ones equals $\rho(n), \rho(n)\to\infty$ as $n\to\infty.$ The proof is constructed on the check of auxiliary statement conditions which in turn generalizes one well-known result.
Keywords: The nonlinear random Boolean equations, normal limit distribution, number of false solutions. 
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Volodymyr Masol; Svitlana Slobodyan. On the asymptotic normality of the. Teoriâ slučajnyh processov, Tome 13 (2007) no. 1, pp. 144-151. http://geodesic.mathdoc.fr/item/THSP_2007_13_1_a14/

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