The paper covers the development of geometry-based skeletal animation algorithms for deforming 3D models. Linear Blend Skinning technique being widely used, much attention is given to the method description and its shortcomings. The paper gives wide coverage to the state of the art in geometry-based skeletal animation algorithms. 

Keywords: skeletal animation, skinning, geometry-based algorithms, character animation

  The results of the analysis of gravitational and magnetic fields of the Tersko-Caspian depression are introduced. The main feature of the potential fields of the region is the presence of high-gradient zones. Distributions of azimuths of gravity and magnetic lineaments testify to the coincidence of the basic maxima on histograms of directions of gradients. About the general nature of these zones caused fault tectonics. 

Keywords: gravitational and magnetic fields, a fault, a gradient, The Tersko-Caspian depression

A comparison shift the aggregate final volume and minimum sample value, depending on model parameters for parts excavator. The studies revealed the following pattern: in the range of the Range R = 17-20 sets of the coefficients are significantly different from the values ​​of other Ranges.

Keywords: General population of finite volume, scope aggregate, shift the aggregate, the minimum sample value, selection.

The method of definition distribution Fisher-Tippeta parametres of final volume population (Ас, Вс, Сс) under the selective data of the average stress is offered in the given work. Average values of parametres (Ас, Вс, Сс) thus is recommended to use at repeated modelling. Thus the Ас, Вс, Сс received is recommended to use average values of parametres at repeated modelling.

Keywords: the selective data, stress, Fisher-Tippet distribution, population, modeling.

A study of the accuracy of the determination of corrections into the distances, measured by radio-electronic systems, is executed for moist component of refractive index. The original formulas of the determination of corrections for moist component into the inclined distances are obtained.

Keywords: Atmosphere, Refractive index, Moist constituting, Correction into the distance

The solution of the vital problem of transformation of coordinates of one system into another is proposed. The formulas of the connection of rectangular and geodetic coordinates, different three-dimensional rectangular coordinates and systems of plane coordinates are given.

Keywords: Geodesy, Coordinates, Transformation of coordinates

This article proves that the parameter that determines the energy the washing process is G-factor. The authors propose a mathematical tool defining dependencies technical performance of G-factor. It is an indicator of the effectiveness of the optimization of technical solutions of embodiment washing-squeezing machines and the basis for the fundamental analysis of typical designs.

Keywords: washing-squeezing machines, mathematical modeling, G-factor, energy efficiency, optimization solutions.

Labour market is a complicated social and economic system, which requires the necessity to consider a number of characteristic properties (stochasticity,nonlinearity,inertance,nonstationarity) for investigation and modelling labor market processes and phenomena. In this article the problem of optimum control of a labour market is mathematically formalized. This allows for regional system of a labor market to reach desirable indicators, namely the set unemployment rate.

Keywords: Labor market, optimum control, optimizing tasks, principle of a maximum of Pontryagin, social and economic system

Performed calculations of angles of the astronomical refraction in different ways and made a comparative analysis of the results of a calculation. Provides recommendations for the use of any means in different contexts.

Keywords: Astronomical refraction, the Hour angle, Anti-aircraft distance, atmosphere, Pulkovo table.

Combined method which allows analyzing parameters of the nanoscale atomic and electronic structure of materials relying on three different methods (x-ray absorption spectroscopy (XAFS), x-ray diffraction (XRD) and Raman spectroscopy) was developed. The method was applied for the study of nickel oxide nanoparticles, which serve as an efficient catalyst for the artificial photosynthesis process. 

Keywords: solar energy, artificial photosynthesis, NiO, Raman, x-ray diffraction, XAFS

We have carried out the analysis on the scientific and technological literature on methods of calculation and analysis of the x-ray diffraction, x-ray absorption and Raman spectra used to analyse the structure of the materials for hydrogen storage under realistic operating conditions. The simulations were carried out for the series of small palladium nanoclusters with embedded hydrogen. Multiscale computer modelling was used to simulate the dynamics of structure of the materials during charge/discharge phases.

Keywords: hydrogen storage, XANES, x-ray diffraction, Raman scattering, fuel cell

  The importance of domestic competitive machinery market entry is shown in the paper. It is shown that the domestic competitive machinery, which provides complex harvesting of round and fuel wood, market entry is the important direction in solving the problem of wood consumers market development in the capacity of biological fuel. 

Keywords: wood fuel, preparation, consumers, market

  The proposed approach to the study of social engineering systems to meet all their basic features. Blurred structure of social engineering system reflects the fuzzy cognitive model; Fuzzy connection effectively evaluated using weights Fishburne; "blur" element values system and its functioning is overcome by introducing linguistic variables and their term-set fuzzy classifiers.  

Keywords: system analysis, poorly structured and poorly formalizable processes, sociotechnical systems, fuzzy cognitive modeling

  This article analyzes the condition of the vehicle driver by methods using data RR-interval time series implementing wavelet-transform. The results of the discrete Wavelet-transform with the Daubechies wavelet of the fourth order are considered.

Keywords: wavelet-transform, RR-interval series, interval diagram

The question of increase of efficiency of the cooling process in the compression refrigerating machines and household refrigerating appliances. Describes a new original method of cooling of the condenser vapour-compression refrigeration machines, which is due to wet the surface of the capacitor with its further blow. Shows the complexity of the theoretical analysis of the proposed method of cooling and substantiated the necessity of experimental studies of the process of cooling of the refrigerant in the capacitor. 

Keywords: compression refrigerator, evaporative a capacitor, a new method of cooling refrigerant, energy performance, the efficiency of the cooling