No 1 (2010)

This outline is devoted to the history of applied mathematics and computer sciences as a direction of scientific and pedagogical activities of the department of physics and mathematics in Peoples' Friendship University of Russia (PFUR). It briefly describes basic facts of the formation of three modern departments - Information technologies, Telecommunication systems and Theory of Probability and Mathematical Statistics. The description begins from 1963 as a year the author joined PFUR and it reflects author's 46 years working experience.

This work is devoted to the construction of the quantum field model, allowing, in particular, to describe ferromagnetic properties in graphen structures adequately to the results of physical and numerical experiments. The offered model describes properties of monoatom graphen layers ( forming two-dimensional surfaces), which are connected with presence of nontrivial function of distribution of the spin density, formed as a result of spontaneous breakdown of the spin symmetry of valent electrons in atoms of carbon. Within the limits of the offered model possible exact solutions for field function of the spin density, explaining, in particular, experimentally observed ferromagnetic properties of graphen films are specified. Quantitative estimations of a thickness of the domain wall, dividing areas with counterdirected vectors of magnetization were suggested, which allows to check up offered theoretical model experimentally.

The unverse boundary-values problem is formulated in supposition that the differentiable manifold, two points and the curve on it are given and there is required to construct the dynamical system on this manifold so that the curve is an integral one for this dynamical system. An example is considered: the motion of the material point along the loxodrome on the Earth surface.

This paper gives an account of method, that allows to find a solution of the Dirichlet problem for the second order differential-operator equations in arbitrary locally convex space.

The problem of integration of the information contained in the electronic maps of medical clinics and other medical institutions is considered. Purpose - to build complete clinical vision of disease of patients. As integration technology is proposed to use a mediator with the auxiliary data warehouse. This approach is described by a concrete example.

Two cases are examined in the paper: propagation of waves in smoothly irregular and statistically irregular dielectric waveguides. The peculiarities of approximate solutions of vector electrodynamic problems in both cases are discussed. The offered methods are applicable for analysis of similar dielectric, magnetic, optic and meta materials structures in enough broad band of electromagnetic wavelengths.

The problem of pion-electron identification based on their energy losses in the transition radiation detector (TRD) is considered in the frame of the CBM experiment. For particles identification an artificial neural network (ANN) was used, a multilayer perceptron being realized in JETNET and ROOT packages. It is demonstrated that, in order to get correct and comparable results, it is important to define the network structure correctly. The recommendations for such a selection are given. In order to achieve an acceptable level of pions suppression, the energy losses need to be transformed to more effective variables.