Математика и физика. Mathematics & Physics. 2023 16 (4)
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Modeling of Electric Field Impact on a Cholesteric Liquid Crystal Layer
(Сибирский федеральный университет. Siberian Federal University, 2023-08)A new mathematical model is proposed to describe the spatial static state of a cholesteric liquid crystal. The model is constructed with the assumption of elastic resistance of a liquid crystal under weak mechanical ... -
Series of Hypergeometric Type and Discriminants
(Сибирский федеральный университет. Siberian Federal University, 2023-08)The monomial of solutions to a reduced system of algebraic equations are a hypergeometric type series. We are spreading the Horn–Karpranov result (for hypergeometric series) to the case of series of hypergeometric type -
Local Asymptotic Normality of Statistical Experiments in an Inhomogeneous Competing Risks Model under Random Censoring on the Right
(Сибирский федеральный университет. Siberian Federal University, 2023-08)The local asymptotic normality property of the likelihood ratio statistic in the competing risk model that corresponds to inhomogeneous and randomly right-censored observations is proved in the paper -
Analog of theWeierstrass Theorem and the Blaschke Product for A(z)-analytic Functions
(Сибирский федеральный университет. Siberian Federal University, 2023-08)We consider A(z)-analytic functions in the case when A(z) is an antiholomorpic function. For A(z)-analytic functions analogs of the Weierstrass theorem and of the Blaschke theorem are proved -
Strongly Algebraically Closed MV-algebras
(Сибирский федеральный университет. Siberian Federal University, 2023-08)The aim of this paper is to fully characterize strongly algebraic closed MV-algebras, extending a result of Lacava. Moreover we provide some computation relating orbit algebras, Wajsberg algebras and Lukasiewicz semirings -
On Generation of the Groups GLn(Z) and PGLn(Z) by Three Involutions, Two of which Commute
(Сибирский федеральный университет. Siberian Federal University, 2023-08)It is proved that the general linear group GLn(Z) (its projective image PGLn(Z) respectively) over the ring of integers Z is generated by three involutions, two of which commute, if and only if n > 5 (if n = 2 and n > 5 ... -
Some New Fixed Point Results in b-metric Space with Rational Generalized Contractive Condition
(Сибирский федеральный университет. Siberian Federal University, 2023-08)In this paper, we improve and generalize several results in fixed point theory to the b-metric space. Where we confirm the existence of the fixed point for self mapping T satisfying some rational contractive conditions. ... -
Almost Inner Derivations of Some Leibniz Algebras
(Сибирский федеральный университет. Siberian Federal University, 2023-08)The present paper is devoted to almost inner derivations of thin and solvable Leibniz algebras. Namely, we consider a thin Lie algebra, solvable Lie algebra with nilradical natural graded filifform Lie algebra, natural ... -
On a Note on Ap´ery-like Series with an Application
(Сибирский федеральный университет. Siberian Federal University, 2023-08)The goal of this note is to use a hypergeometric series strategy to build many Ap´ery-like series. As an application, we obtain several results due to Sherman -
On the Convergence Exponent of the Special Integral of the Tarry Problem for a Quadratic Polynomial
(Сибирский федеральный университет. Siberian Federal University, 2023-08)In this paper it is considered the summation problem for trigonometric integrals with quadratic phase. This problem was considered in the papers [7–9] in particular cases. Our results generalize the results of those ... -
A Logarithmic Barrier Approach Via Majorant Function for Nonlinear Programming
(Сибирский федеральный университет. Siberian Federal University, 2023-08)In this paper, we are interested in solving an optimization nonlinear programming problem using a logarithmic barrier interior point method, in which the penalty term is taken as a vector r 2 Rn +. The descent direction ... -
Creeping Three-dimensional Convective Motion in a Layer with Velocity Field of a Special Type
(Сибирский федеральный университет. Siberian Federal University, 2023-08)Problem of three-dimensional motion of a heat-conducting fluid in a channel with solid parallel walls is considered. Given temperature distribution is maintained on solid walls. The liquid temperature depends quadratically ...