The analysis of strategies of the applicants engaging in the National Research Tomsk Polytechnic University

This article presents the problem of the university reputation forming, videlicet of the engineering enterprise department based on the materials of Tomsk Polytechnic University. University`s reputation is considered to be a system of the ideas and estimations of different groups of the target audience. These groups are formed based on the information about several areas of activity of the university such as educational, scientific, developing, social areas. Within this framework, there are examined strategies of the applicants engaging, influence of the events taking place for applicants engaging to the area of innovation studies. Moreover, the main terminology of the topic “marketing strategy of the university” is provided

Primary currents and Riemannian geometry in W-algebras

It is proved that general consistency requirements of stability under complex analytic change of charts show that primary currents in finite chiral W-algebras are described in terms of pure gravitational variables.Comment: LaTex, 18 pages, no figures, version to appear in Nucl. Phys.

Mechanical Analogy-based Iterative Method for Solving a System of Linear Equations

The paper reviews prerequisites to creating a variety of the iterative methods to solve a system of linear equations (SLE). It considers the splitting methods, variation-type methods, projection-type methods, and the methods of relaxation.A new iterative method based on mechanical analogy (the movement without resistance of a material point, that is connected by ideal elastically-linear constraints with unending guides defined by equations of solved SLE). The mechanical system has the unique position of stable equilibrium, the coordinates of which correspond to the solution of linear algebraic equation. The model of the mechanical system is a system of ordinary differential equations of the second order, integration of which allows you to define the point trajectory. In contrast to the classical methods of relaxation the proposed method does not ensure a trajectory passage through the equilibrium position. Thus the convergence of the method is achieved through the iterative stop of a material point at the moment it passes through the next (from the beginning of the given iteration) minimum of potential energy. After that the next iteration (with changed initial coordinates) starts.A resource-intensive process of numerical integration of differential equations in order to obtain a precise law of motion (at each iteration) is replaced by defining its approximation. The coefficients of the approximating polynomial of the fourth order are calculated from the initial conditions, including higher-order derivatives. The resulting approximation enables you to evaluate the kinetic energy of a material point to calculate approximately the moment of time to reach the maximum kinetic energy (and minimum of the potential one), i.e. the end of the iteration.The software implementation is done. The problems with symmetric positive definite matrix, generated as a result of using finite element method, allowed us to examine a convergence rate of the proposed method. The proposed method has shown the comparable results with the most commonly used method of conjugate gradients. There are prospects for development of the proposed method, in particular through the preconditioned use.</p