https://elib.bsu.by:443/handle/123456789/113946 NPCS Vol.17, no.1, pp. 1-105 (2014) 2026-04-20T23:01:37Z https://elib.bsu.by:443/handle/123456789/114091 Заглавие документа: Estimation method for mathematical expectation of continuous variable upon ordered sample Авторы: Domchenkov, O. A. Аннотация: Method for estimation of mathematical expectation of a continuous variable based on analysis of the ordered sample is proposed. The method admits the estimation class propagation on nonlinear estimation classes. 2014-01-01T00:00:00Z https://elib.bsu.by:443/handle/123456789/114086 Заглавие документа: On convergence of the perturbative series in QCD Авторы: Khandramai, V. L. Аннотация: We study the convergence properties of the polarized Bjorken sum rule amplitude with the four-loop expression for the coefficient function, CBj(αs), in the framework of the common QCD perturbation theory and the singularity-free analytic perturbation theory. By using the model for the multiloop QCD correction, we tested the convergence properties of the coefficient function. Our analysis of the PT series for this function gives a hint to its asymptotic nature manifesting itself in the region Q < 1 GeV. Besides, the related values of the higher twists coefficients turn out to be highly unstable with respect to the PT order. On the contrary, the APT approach allows us to describe accurately the whole bulk of the JLab data down to Q ∼ 300 MeV and gives a possibility for reliable extraction of stable values for the higher twists coefficients providing accuracy of theoretical predictions higher then accuracy of current data. 2014-01-01T00:00:00Z https://elib.bsu.by:443/handle/123456789/114085 Заглавие документа: Partially breaking Pseudo-Dirac band symmetry in graphene Авторы: Grushevskaya, H. V.; Krylov, G. Аннотация: We introduce a Dirac–Hartree–Fock self-consistent field approximation for asymmetric charged carriers in monoatomic layer graphene with partially breaking symmetry of Dirac cone. It is based on an assumption on lattice anti-ferromagnetic ordering and generalizes a quantum field theory of graphene with massless pseudo-Dirac Hamiltonian. The proposed approach allows construction of the equation of motion for quasiparticles in graphene with a small but finite dynamic mass. 2014-01-01T00:00:00Z https://elib.bsu.by:443/handle/123456789/114023 Заглавие документа: Using logical functions for constructing non-linear analytical formulae in combinatorics and number theory Авторы: Chebrakov, Yu. V. Аннотация: In this paper we discuss techniques suitable for translating the verbal descriptions of computative algorithms into a set of mathematical formulae and demonstrate that logical functions can be used effectively in order to create non-linear analytical formulae, describing a set of combinatorial and number-theoretic computative algorithms. 2014-01-01T00:00:00Z