Abstract:
The article deals with optimal configuration of automated library information system which supposes the choice of indexes of readiness for library information system computerization, establishment of regional corporative catalogue centre and organization of exchange of information resources and data banks in accordance with modern standards.

Abstract:
Comparative analysis of case – means for effective formation of professional competence of Bachelor of Applied Computer Science and Business – Informatics.

Abstract:
In the article, we have studied the effect of feeding of the germinated cereal crops on the growth, development and reproductive qualities of heifers

Abstract:
An integral representation of solutions of the wave equation as a superposition of other solutions of this equation is built. The solutions from a wide class can be used as building blocks for the representation. Considerations are based on mathematical techniques of continuous wavelet analysis. The formulas obtained are justified from the point of view of distribution theory. A comparison of the results with those by G. Kaiser is carried out. Methods of obtaining physical wavelets are discussed.

Abstract:
An asymptotic investigation of monochromatic electromagnetic fields in a layered periodic medium is carried out under the assumption that the wave frequency is close to a stationary point of the dispersion surface. We find solutions of Maxwell equations by the method of two-scale asymptotic expansions. We establish that the principle order of expansion of a solution dependent on three spatial coordinates is the sum of two differently polarized Floquet-Bloch solutions, each of which is multiplied by a slowly varying envelope function. We derived that the envelope functions satisfy a system of differential equations with constant coefficients. In new variables, it is reduced to a system of two independent equations, both of them are either hyperbolic or elliptic, depending on the type of the stationary point. The envelope functions are independent only in the planar case. Some consequences are discussed.

Abstract:
The simple realistic model of the tippe top is considered. An averaged system of equations of motion is obtained in special evolutionary variables. Through the qualitative analysis of this system the general features of the motion of the top are obtained. Finally, some numerical results are presented.

Abstract:
An exact solution of the homogeneous wave equation, which was found previously, is treated from the point of view of continuous wavelet analysis (CWA). If time is a fixed parameter, the solution represents a new multidimensional mother wavelet for the CWA. Both the wavelet and its Fourier transform are given by explicit formulas and are exponentially localized. The wavelet is directional. The widths of the wavelet and the uncertainty relation are investigated numerically. If a certain parameter is large, the wavelet behaves asymptotically as the Morlet wavelet. The solution is a new physical wavelet in the definition of Kaiser, it may be interpreted as a sum of two parts: an advanced and a retarded part, both being fields of a pulsed point source moving at a speed of wave propagation along a straight line in complex space-time.

Abstract:
Aim. Benzo[a]pyrene-7,8-dihydrodiol-9,10-epoxide (BPDE) is the major metabolite of an environmental carcinogen, polycyclic aromatic hydrocarbon benzo[a]pyrene. The effects BPDE could have on neuronal cells progenitors are mostly uncharacterized. Methods. We have studied survival and morphology of cultured PC12 cells and mouse embryonic hippocampal neurons in the presence of BPDE. We have also used post-labeling to compare accumulation of BPDE adducts in cultured PC12 cells and fibroblasts. Results. The survival of cells and the level of adducts depended on the type of extracellular matrix to which the cells were attached. At tolerated BPDE doses, the adducts formed by this metabolite were efficiently repaired. In PC12 cells, BPDE toxicity and the level of adducts was generally lower than in fibroblasts. Conclusions. Overall, BPDE may be detrimental for develo- ping neural tissue. However, the effects of BPDE on cells with the ability to differentiate into the neuronal lineage may depend on the cell microenvironment.

Abstract:
For many algebraic codes the main part of decoding can be reduced to row reduction of a module basis, enabling general, flexible and highly efficient algorithms. Inspired by this, we develop an approach of transforming matrices over skew polynomial rings into certain normal forms. We apply this to solve generalised shift register problems, or Pad\'e approximations, over skew polynomial rings which occur in error and erasure decoding $\ell$-Interleaved Gabidulin codes. We obtain an algorithm with complexity $O(\ell \mu^2)$ where $\mu$ measures the size of the input problem. Further, we show how to list-$\ell$ decode Mahdavifar--Vardy subspace codes in $O(\ell r^2 m^2)$ time, where $m$ is a parameter proportional to the dimension of the codewords' ambient space and $r$ is the dimension of the received subspace.

Abstract:
For many algebraic codes the main part of decoding can be reduced to a shift register synthesis problem. In this paper we present an approach for solving generalised shift register problems over skew polynomial rings which occur in error and erasure decoding of $\ell$-Interleaved Gabidulin codes. The algorithm is based on module minimisation and has time complexity $O(\ell \mu^2)$ where $\mu$ measures the size of the input problem.