Математика и физика. Mathematics & Physics. 2014 7 (4)
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The Solution of Algebraic Equations of Continuous Fractions of Nikiports
(Сибирский федеральный университет. Siberian Federal University., 2014-11)Analytical expressions representing all the roots of a random algebraic equation of n-th degree in terms of the equation coefficients are presented in the paper. These formulas consist of two ratios of infi- nite Toeplitz ... -
Very Low Ergodicity of Real Genomes
(Сибирский федеральный университет. Siberian Federal University., 2014-11)A distribution of the longest distances to the nearest neighbour alongside a genetic sequence is investi- gated. It is shown the real DNA sequences differ basically from any model one, while the figures of the distribution ... -
Some Examples of Finding the Sums of Multiple Series
(Сибирский федеральный университет. Siberian Federal University., 2014-11)A method of finding residue integrals for some systems of non-algebraic equations are presented. Such integrals are connected to the power sums of roots for the system of equations. It is shown how the obtained results ... -
The Study of Discrete Probabilistic Distributions of Random Sets of Events Using Associative Function
(Сибирский федеральный университет. Siberian Federal University., 2014-11)In this work the class of discrete probabilistic distributions of the II-nd type of random sets of event is investigated. As the tool for constructing of such probabilistic distributions it is offered to use associative ... -
On the Zeta-Function of Zeros of Some Class of Entire Functions
(2014-11)Using the residue theory, we give an integral representation for the zeta-function that enables us to construct its analytic continuation -
Solving Yang-Mills Equations for 4-metrics of Petrov Types II, N, III
(Сибирский федеральный университет. Siberian Federal University., 2014-11)We have produced 4 series of 4-metrics satisfying Yang-Mills equations for each of types II, N, III -
Boundary Version of the Morera Theorem for a Matrix Ball of the Second Type
(Сибирский федеральный университет. Siberian Federal University., 2014-11)In this article we prove a boundary Morera theorem for a matrix ball of the second type -
On Some Systems of Non-algebraic Equations in Cn
(Сибирский федеральный университет. Siberian Federal University., 2014-11)A method of finding residue integrals for systems of non-algebraic equations containing entire functions is presented in the paper. Such integrals are connected with the power sums of roots of certain system of equations. ... -
On Long-Term Behavior of Continuous-Time Markov Branching Processes Allowing Immigration
(Сибирский федеральный университет. Siberian Federal University., 2014-11)We observe the continuous-time Markov Branching Process allowing Immigration. Limit properties of transition functions and their convergence to invariant measures are investigated. A speed of this con- vergence is defined -
Energy Method for Mathematical Modeling of Heat Transfer in 2-D Flow
(Сибирский федеральный университет. Siberian Federal University., 2014-11)A multigrid finite element method for 2-D convection-heat transfer problem is proposed. The method is based on minimization of the energy functional. Effectiveness of the method is demonstrated by calculation of temperature ... -
On the Asymptotic of Homological Solutions to Linear Multidimensional Difference Equations
(Сибирский федеральный университет. Siberian Federal University., 2014-11)Given a linear homogeneous multidimensional difference equation with constant coefficients, we choose a pair ( , !), where is a homological k-dimensional cycle on the characteristic set of the equation and ! is a ... -
On Estimation of Conditional Distribution Function under Dependent Random Right Censored Data
(Сибирский федеральный университет. Siberian Federal University., 2014-11)In this article we study simple integral-type estimator of distribution function under random right censored observations at fixed covariate values, where the dependence between a life time and a censoring variable may ...