Математика и физика. Mathematics & Physics. 2018 11 (3)
Ресурсы коллекции
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From Similarity to Distance: Axiom Set, Monotonic Transformations and Metric Determinacy
(Сибирский федеральный университет. Siberian Federal University, 2018-06)How to normalise similarity metric to a metric space for a clusterization? A new system of axioms describes the known generalizations of distance metrics and similarity metrics, the Pearson correlation coefficient and ... -
Combinatorial Properties of Restriction Sites
(Сибирский федеральный университет. Siberian Federal University, 2018-06)Restriction sites are the strings in DNA recognised by their specific enzymes. Recognition of the sites is provided by their combinatoric pattern. This study presents some results obtained from 6-nucleotide long restriction ... -
Solution of Boundary Value Problems of Plasticity with the Use of Conservation Laws
(Сибирский федеральный университет. Siberian Federal University, 2018-06)In the paper conservation laws of a special form for systems of first-order differential equations depending on two dependent and independent variables are looked at. It is shown how the conservation laws can be used to ... -
New Method to Determine Topology of Low-Dimension Manifold Approximating Multidimensional Data Sets
(Сибирский федеральный университет. Siberian Federal University, 2018-06)New method is proposed to identify topology of a low-dimensional manifold approximating multidimensional datasets. The method is based on the implementation of the compliment for the discrete set of data. Some essential ... -
Systematization and Analysis of Integrals of Motion for an Incompressible Fluid Flow
(Сибирский федеральный университет. Siberian Federal University, 2018-06)An analysis of integrals of motion of an incompressible fluid flow both known and new obtained by author are presented in the paper. It was found that the known integrals of Lagrange – Cauchy, Bernoulli and Euler –Bernoulli ... -
Construction of Interpolation Splines Minimizing the Semi-norm in the Space K2(Pm)
(Сибирский федеральный университет. Siberian Federal University, 2018-06)In ∫ the present paper, using S.L. Sobolev’s method, interpolation splines that minimize the expression 1 0 (φ(m)(x)+!2φ(m�����2)(x))2dx in the space K2(Pm) are constructed. Explicit formulas for the coefficients of the ... -
Computation of an Integral of a Rational Function over the Skeleton of Unit Polycylinder in Cn by Means of the Mellin Transform
(Сибирский федеральный университет. Siberian Federal University, 2018-06)With the help of the Mellin transform we give a simple calculation of an integral of rational functions in several independent parameters aerlier appeared in [2]. The efficiency of this transform is due to the fact that ... -
Analysis of an Exact Solution of Problem of the Evaporative Convection (Review). Part II. Three-dimensional Flows
(Сибирский федеральный университет. Siberian Federal University, 2018-06)In the paper the review of exact solutions of the three-dimensional convection problems is presented. The solutions allow one to model the two-layer convective fluid flows with evaporation at the thermocapillary interface -
On an Analog of Descartes’ Rule of Signs and the Budan-Fourier Theorem for Entire Functions
(Сибирский федеральный университет. Siberian Federal University, 2018)It is proven the analog of Descartes’ rule of signs and the Budan-Fourier theorem for entire functions -
Magnetization of Two-dimensional Layered HTSCs with Defects
(Сибирский федеральный университет. Siberian Federal University, 2018)Calculations of behaviour of magnetization of type-II superconductors in external magnetic fields have been made by using the Monte-Carlo method within the limits of the model of layered HTSC. Magnetiza- tion curves have ... -
Study of a Logarithmic Barrier Approach for Linear Semidefinite Programming
(Сибирский федеральный университет. Siberian Federal University, 2018-06)In this paper, we present a logarithmic barrier interior-point method for solving a semidefinite program- ming problem. Newton’s method is used to compute the descent direction, and minorant function are used as an ... -
On Formal Solutions of H¨ormander’s Initial-boundary Value Problem in the Class of Laurent Series
(Сибирский федеральный университет. Siberian Federal University, 2018-06)We define a derivation of the ring of Laurent series with supports in rational cones and prove existence and uniqueness of a solution to an analog of one initial-boundary value problem of H¨ormander for polynomial differential ... -
Influence of an Initial States on the Critical Relaxation of Ising-like Spin Systems
(Сибирский федеральный университет. Siberian Federal University, 2018-06)The non-equilibrium critical behaviour of the three-dimensional pure and site-diluted spin systems de- scribed by Ising model is studied for different spin concentrations with evolution from various initial magnetic ... -
Enumerations of Ideals in Niltriangular Subalgebra of Chevalley Algebras
(Сибирский федеральный университет. Siberian Federal University, 2018-06)Let N (K) be the niltriangular subalgebra of Chevalley algebra over a field K associated with a root system . We consider certain non-associative enveloping algebras for some Lie algebra N (K). We also study the problem ... -
On Rate of Convergence of Tonelli’s and Weak Approximation Methods for Loaded Equations
(Сибирский федеральный университет. Siberian Federal University, 2018-06)We consider the Cauchy problem for a loaded partial differential equation arising in coefficient inverse problem. The convergence of Tonelli’s and weak approximation methods for this problem is previously proved. In the ...