The article is devoted to the problem of the research of geopolitical processes on the world regions’ scale under present-day conditions. The article substantiates the necessity of their analysis with the help of the cognitive approach as an effective means of cognition of the interconnections and interrelationships within the complicated systems. With that aim in view the specifics and the stages of the cognitive modeling are given thorough analysis in the article. This type of modeling is adapted to the analysis of geopolitical dynamics on the regional/sub regional level taking into consideration its aptitudes to make prognostic scenarios of the development of the situation. The possibilities of the cognitive modeling of geopolitical processes are illustrated on the example of the situation in three sub regions constituting one (big) the Black Sea – Caspian region.

Keywords: World regions, geopolitical processes, modeling of the complicated systems, modeling of the geopolitical processes, cognitive modeling, the program’s system of the cognitive modeling, the Black Sea – Caspian Region, the Black Sea sub region, the Caucasus

  The article deals with finding of the area of the central projection of the family of visible segments of a last set of sides of the controlled object. We offer to represent the central projection of the controlled object which is reflected on the camera's sensor, as a set of convex polygons in order to accelerate finding of the total area.

Keywords: polygons‘segments, cameras’ field of view, an algorithm for finding of polygon’s area

Work is devoted mathematical modelling of processes in the channel of the MHD-device with the conical axisymmetric form of a channel. The assumptions accepted at modelling are formulated. The mathematical description of a prototype system with usage of known laws of electrodynamics is conducted. The equations of components of density of current, a magnetic field and electromagnetic forces in the conical part of the channel of the observed device are defined. Adequacy of the developed model is confirm by results of computer simulation of processes in the channel of the device. Deductions about applicability of results of the given work are presented.

Keywords: MHD-device, conical axisymmetric channel, density of current in the channel, mathematical model, electromagnetic forces

  Proposed to use a sensor based on surface acoustic wave (SAW), which represents a delay line with unidirectional interdigital transducers (IDT) for measuring the pressure in the liquid. Reflective IDT loaded by series connected inductor and two capacities. One of these capacities - this trimmer, and another - a membrane capacitor whose capacitance depends on the pressure. When the pressure changes of the membrane capacitance capacitor, which changes the reflectivity of the reflective IDT. The magnitude of changes in this ratio determines the pressure applied to the membrane capacity.  

Keywords: Sensor, pressure, surface acoustic wave, pulse answer, liquid

  Article describes actual problems of personal navigation in portable scientific document set representation. Proposed algorithm for ranking document graph paths based on machine learning, described algorithm analysis and most probable navigation context parts.

Keywords: Document set navigation, machine learning, navigation context, scientific data visualization

Structure of  surface acoustic waves(SAW) of CO sensor was developed. SAW sensor include transceiving IDT and catoptric IDT, which is loaded on the impedance of ZnO nanorods. Peak of reflection SAW from IDT clearly observed as result Fourier transformation of time function of pulsed response. IDT loaded on resistance paralleled ZnO nanorods, which depends on the concentration of CO.

Keywords: ZnO nanorods, device on SAW, CO sensor

The methods of evaluation of reconfigurable computing system is able to effectively function, which takes into account the structure of the problem-oriented calculators. The main mathematical tool used in the theory of discrete Markov processes and methods of game-theoretic optimization.

Keywords: reconfigurable computing system, Markov processes, methods of game-theoretic optimization, structure of task-oriented calculators

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.

The problem of interaction of mutually perpendicular magnetic fields in superconductors is considered. Possibility of use of a nonlinear susceptibility of superconductors for measurement of a magnetic field is shown, the assessment of sensitivity of the cryogenic probe magnetometer is carried out.

Keywords: superconductor, magnetometer, SQUID, cryotron, the crossed magnetic fields, non-linear magnetic, cryogenic probe

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 article presents the results of experimental research of the re-entrainment reduction in the electrocyclone. The authors shows an increase in the collection efficiency of ash up to 99.5% and reduction of entrainment in 4 times when profiled elements was install  on collection electrode surface

Keywords: gas dust cleaning, electrocyclone, re-entrainment, collection efficiency, ash from thermal power plants

  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

Examines the historical stages in the development  of the theory of systems research management of the uncertainties, the reasons for they arise in the mathematical  model, this is reflected in an interval values in the transfer  function of the object of control. It is proposed algorithm for obtaining experimentally the interval of values.

Keywords: interval values, robust stability, the transfer function, parametric uncertainty, a mathematical model of the management system

The mathematical model of storage reservoir has been deduced. The deposition rate of particles in reservoir has been calculated. It is concluded that storage reservoir is a preliminary sedimentation tank.

Keywords: storage reservoir, preliminary sedimentation tank, mathematical model, deposition rate

In article questions of improvement of a technique and theoretical bases of electrocatching with reference to problems of fight against drop ablation in a working zone in the conditions of galvanic production are considered.

Keywords: electrocatching, drop ablation, working zone, barbotage, charge, drop