The paper describes the main scientific results obtained under the guidance of Professor O. G. Pensky from Perm. The results are devoted to mathematical modeling of the behavior of the so-called digital twins, which are psychological analogs of a person. The paper formulates theorems describing the dangers of artificial intelligence to humans from a psychological point of view and proposes general models of dialectical development of the virtual world for digital twins. The paper describes the research of mathematical models developed together with the Israeli scientist O. L. Figovsky. These models are designed to calculate the coefficients of the influence of one person on another and make it possible to determine the degree of their mutual influence during their communication. It also reports on research into algorithms for intuition, insight, and hypnosis of digital twins. The article describes the difference between the studies carried out by the group of Professor O. G. Pensky and the research of its predecessors.

Keywords: psychology of robots, human digital twin, psychological characteristics, mathematical models, dialectics, human society, artificial intelligence, robot safety, mutual influence of robots, temperament of digital twins

In July and August 2019, the Grott ground penetrating radar was used as part of the field work of the Russian Arctic National Park, a federally funded institution, to survey areas polluted by oil products on Alexandra Island in the Franz Josef Land Archipelago. The results obtained are discussed and conclusions are drawn about the prospects of using the method of ultra-wideband electromagnetic sounding to solve environmental problems in the permafrost zone in the Arctic region.

Keywords: national park, Arctic, pollution, waste, soil, rock, georadar, ecosystem, sounding, radarogram, infiltrate

The article considers the dynamics of an ion beam in a laser mass – EMAL-2 spectrometer.a numerical model based on the "large - particle" method is Implemented, taking into account the influence of spatial charge fields and the interaction of charged particles with the field of an electrodynamic system. The software package that implements the mathematical model of ion beam motion consists of two parts. The first part is a program written in C++, in which initial conditions are set, the Coulomb interaction between large particles is calculated using the "particle-particle" method, the system of differential equations (1) is integrated using the fourth-order Runge-Kutta method, and the results are recorded and processed. The second part is a script for the FreeFem++ package, which implements the solution of partial differential equations using the finite element method. A series of numerical experiments and their comparison with the data obtained experimentally are carried out.

Keywords: large particle method, laser mass spectrometer, particle-particle method, electrodynamic system, Runge-Kutta method, laser plasma, magnetic analyzer, ion beam, focusing system, triangulation

The article describes the implementation methodology, structure and functional diagram of a surface defect detection system based on the method of electrical impedance tomography in materials of engineering structures that are subjected to significant loads during operation. A control device for the system for collecting measurements and supplying voltage to the boundary electrodes of the sensing element is considered and an algorithm for its operation is described. The implementation method is proposed and the simulation results of this system are presented.

Keywords: defect monitoring, non-destructive testing, electrical impedance tomography, modeling, sensitive element, functional diagram

Currently, the drone is used in many situations where a manned flight is considered difficult, too risky, or in some cases impossible. In recent years, drones (drones) have become very popular due to their ease of use and their versatility. The urgency of the task of synthesis of control systems for unmanned aerial vehicles is characterized by the complexity of their mathematical model and a large number of experimentally determined parameters. This article proposes a methodology for designing a model of a regulatory system with a fuzzy logical controller. The results of simulation of a system with a fuzzy logic controller are presented.

Keywords: quadrotor, UAV, fuzzy-logical control, dynamics, roll, pitch, Yaw

The article deals with the power supply of the microcontroller core, which allows you to adjust the voltage to ensure the necessary balance between performance and power consumption of the system. When using this source, the core power supply voltage depends on the fill factor of the pulse-width modulated generator. These expressions allow you to adapt the proposed source for a microcontroller with an arbitrary power supply voltage.

Keywords: microcontroller, microprocessor system, embedded system, stabilizer, core power, performance, power consumption, video surveillance system, pulse-width modulation, fill factor

An overview of modern tools for computer-aided design of technical systems is given. Using the method of comparing systems by the criterion of functional completeness, their main functionality, compliance with standards, and additional specialized applications are analyzed. It is shown how much computer-aided design systems accepted for comparison have differences or similarities in terms of functional completeness. Using the method of formalized functional completeness analysis allows us to assess the level of compliance of systems with the requirements at the stage of preliminary analysis, form a group of systems that have the same functional completeness and analyze them by other criteria. Based on the formalized analysis of functional completeness, the choice of the Autodesk Inventor system for the development and research of a new design of the mechanism for moving a tunneling explosive-bulk complex was made. It was used to generate the shape of the support frame of the complex in conjunction with the movement mechanism and made a preliminary analysis of the safety margin of the metal structure. The value of the coefficient of safety margin, taking into account the gravity of the structure with a different combination of influencing factors, ranges from 20.11 to 43.2. This makes it possible to conduct research under load in critical operating modes.

Keywords: computer-aided design systems, functional completeness analysis, formalized analysis, three-dimensional modeling, animation, superiority graph, similarity graph, absorption graph

The article discusses the problems that arise in pattern recognition related to clustering and data abstraction. Detailed typical data clustering options. The problem of data transformation by vector quantization with the least error is given. A competitive training system for an artificial neural network based on a growing neural gas is described. Using the method of growing neural gas, an improved algorithm of a self-learning artificial neural network of competitive training is proposed. The criteria for completing clustering using the adaptation criterion as a stop criterion are defined. Examples of data clustering by an artificial neural network using the method of growing neural gas are given.

Keywords: clustering, artificial neural network, computer modeling, pattern recognition, self-learning intelligent systems

The article considers the problem of economic forecasting of the volume of federal taxes and fees by the example of the Southern Federal District. To make a forecast, an econometric model was constructed with the introduction of dummy variables.The main objective of the study is the implementation of a short-term forecast using an econometric model. According to data from 01/01/2018 to 03/31/2020. an economic forecast of federal tax revenues was made and for the next two months.In conclusion, the proposed forecasting technique has such advantages as efficiency and simplicity.

Keywords: taxes, fees, forecasting, federal budget revenues, budget system, multiplicative model, dummy variables

This article describes the developed tool for creating a report on the effectiveness of sales channels for the hierarchical structure of sales channels. The developed model for the report on sales channels takes into account the type of source, the criterion for the freeness of the sales channel, the source of traffic and the source of customers themselves. The ROI is estimated and customer conversion activity data is tracked. The article also describes the results of the implementation of the model and its use.

Keywords: sales channel, meta-information, contextual advertising, call tracking, ROI, Google AdWords, Yandex.Direct

The article is devoted to the study of the interaction violations of electric locomotives current collectors with a contact wire, accompanied by the appearance of an electric arc. In order to further develop the system of technical diagnostics of current collection disruptions, accompanied by arcing, it is necessary to study the nature and parameters of the processes that occur with these disruptions. The main part of the article is devoted to the determination of the geometric parameters of the heating zone of the contact wire material by a movable electric arc, followed by an analysis of the applicability of the obtained dependences and their normalization. The description of the research area, the essence of the problem and the main statements of the technical diagnosis of current collection disruptions is given. The nature of the distribution of heat in the cross-section of the contact wire is shown. Based on the nature of the process and plane geometry, the parameters of the heating zone of the contact wire material are obtained: the area of the heating zone and the depth of the heating zone. Limitations in the application of the obtained dependencies are given.

Keywords: electric transport, overhead contact system, contact wire, current collection disruption, electric arc, current collection with arcing, thermal wear, softening, diagnostics

The paper discusses modern approaches to the mass valuation of real estate, automated systems for typical buildings assessment, and also provides the development of a method for the continuous assessment of real estate objects, which makes it possible to effectively evaluate groups of real estate objects and infrastructure. This research is aimed at studying the economic component of this process - modeling of a system for assessing the market valuation of real estate in typal development objects. The purpose of the study is to develop a system of continuous assessment (mass valuation) of real estate, taking into account the current methodological support of the process of assessing the market value of real estate, and should contribute to the improvement of the comparative approach to valuation in the framework of the practical activities of appraisers, as well as for state regulation of the real estate market.

Keywords: diversification of management, production diversification, financial and economic purposes of a diversification, technological purposes of ensuring flexibility of production

The consideration and study of the process of functioning of the offices of the company were the following objectives. Determine the quantitative dependencies of the input flow of patients and unserved requests (refusals). To conduct the sensitivity analysis. Build a basic model of a dental company as a simulation model (input model) that provides targeted variation of input parameters, and a linear programming model (output model) that processes simulation results and provides data on the degree of sensitivity of the model to changes in its parameters. Compare two simulation models of a dental company with different numbers of doctors. Determine the most effective model. Determine a combination of management variables in the optimization model that takes into account the amount of estimated lost profits due to rejection of applications, and based on this, make a conclusion about the need to hire additional employees, thereby increasing the profitability of the dental company. To achieve these goals, the following tasks were solved. A simulation model of a dental company as a Queuing system in the GPSS language was developed and studied. It is determined under which parameters the model is most effective. An analysis of the sensitivity of the model to changes in its parameters is performed. Numerical Monte Carlo methods were used to investigate this issue. We have developed a custom application in the VBA object-oriented programming language that allows you to determine for a certain period of time, starting with how many failures, you should hire an additional doctor, so that the company's profit is maximized. The practical value of the proposed model lies in its flexibility, complex nature, and consistency in the organization and technological regulation of the company's main systems and business processes. The model of a dental company has a sufficient degree of universality, as it can be used in any branch of the service sector. more complicated when you add players. The term "truel" we understand the rivalry three players. They are assigned some values of accuracy the probabilities of eliminating the opponent in one shot. At each stage of the game is chosen by the active player (the selection rule active player either randomly or by prior agreement between the players about their participation). The active player chooses an opponent to eliminate or passes the course. Developed mathematical models for different formulations of the conditions of the game (random or fixed choice of the active player). For each model are analyzed based on the probability of winning in the "truly" of accuracy, based on randomly generated program values. Comparing analytical solution and simulation, we see that they have the same answers. For large dimensions similar games analytical method requires complex calculations, so an acceptable alternative is the simulation method. Data research nahegelegenen in political and judicial practices, as well as analytical tools for the study of the theory of evolution.

Keywords: simulation model, Queuing systems, GPSS World, linear programming model, Monte Carlo numerical methods, VBA

The article is devoted to the development of a mathematical model of a vulcanization boiler, namely, the temperature control loop inside the boiler. The mathematical model of the boiler was obtained by the Rotach method in the form of a transfer function. Simulation modeling was performed in the VisSim software tool. The adequacy and stability of the model is proved and the numerical values ​​of the quality criteria of the transient process are obtained. The resulting model is intended to determine the optimal settings of the regulator of the vulcanization process control system.

Keywords: transfer function, vulcanization boiler, transient, software, system order, vulcanization process, control, calculated transfer function, delay time, sleeve

Considered are the issues of automatic direction-finders efficiency ensuring at the Central vibrator ARP failure, which proposes to change the switching order of the vibrators of radio direction finder antenna system. An algorithm for changing the switching order of the antenna system vibrators is presented.

Keywords: radio direction finder, antenna system malfunction, increase of radio direction finder reliability

A task flow scheduling procedure is proposed that sets the order between groups of equivalent tasks based on their comparison by a number of characteristics. The goal of task flow scheduling was to minimize the total time spent on idle tasks in queues while waiting for the release of sequentially used resources. In the proposed method, when selecting tasks to perform, priority is given to tasks that use the minimum resources. This algorithm allows you to avoid running tasks that use the same resources simultaneously. Recommendations for practical application of the scheduling procedure are given, and a scheme for its interaction with the built-in OS scheduler is developed. To get the greatest effect from controling task scheduling in various environments, options for changing the dispatching algorithm are proposed.

Keywords: multi-program information systems, real-time systems, algorithm, flowchart, task dispatching, process scheduling by structural criteria, task grouping, task control based on priorities, comparison of multi-criteria tasks, Pareto dominance rule

The problem of creating advanced technologies and equipment to increase the efficiency of forest regeneration by seedlings and seedlings of forest crops has not been finally solved and is an urgent task today. Of particular concern is the lack of patented equipment for the renewal of forests by seedlings and seedlings of forest crops that are competitive in the domestic and foreign markets. The purpose of the research is to prove that the basis of the search for solutions to the synthesis of patentable solutions that increase the efficiency of forest regeneration by seedlings and seedlings of forest crops can be laid the formation of a knowledge base on the basis of patent information search, and the use of a functional structural and technological analysis. In the course of the work, a classification of the main areas of patenting in the mentioned area was carried out and it was shown that the use of the proposed approach allowed the authors to develop and patent a number of new technical solutions for the equipment of forest regeneration by seedlings and seedlings of forest crops.

Keywords: forest regeneration, seedling, seedling, patent, synthesis of patentable solutions, functional-structural-technological analysis

The article proposes a structure and algorithm for managing a software complex for analyzing the financial condition of an enterprise. The developed software package is designed to identify data patterns when conducting financial analysis taking into account the specifics of the enterprise.

Keywords: analytical platform, management algorithm, data warehouse, data processing scenario, balance sheet, key figure, information base, data visualization, efficiency

A mathematical model and algorithm for software implementation of assigning priorities to tasks performed in the information system and characterized by a number of properties are developed. The algorithm presented verbally and in the form of a block diagram. The model was developed using decision theory, logic algebra, relation theory, and set theory. Ranking by structural criteria allows you to combine tasks pertaining to different applications in groups with the same priority, which increases the efficiency of the information and computing system. The results were confirmed during simulation and testing.

Keywords: priority setting, dispatching algorithm, mathematical model, real-time systems, autonomous scripts, information flow control, comparison of multi-criteria alternatives, ranking, flowchart

The article deals with the dynamics of an ion beam in a tandem laser mass-reflectron. The software package that implements the mathematical model of the ion beam motion is based on the "large - particle" method.it takes into account the influence of the spatial charge field and the interaction of ions with the field of the electrodynamic system. The potential distribution in the device nodes is obtained by numerical solution of the Laplace equation using the mathematical package Freefem++, which implements the solution of partial differential equations by the finite element method. The absence of inhomogeneity of the electric field inside the reflectors is shown. A series of numerical experiments has been carried out, which has shown the convenience of using the finite element method for numerical solution of problems of electrostatics and ion optics, as well as the effectiveness of using numerical modeling to develop and optimize the parameters of mass spectrometers.

Keywords: large particle method, laser mass spectrometer, particle-particle method, electrodynamic system, Runge-Kutta method, laser plasma, ion beam, focusing system, triangulation, gas-forming impurities, time-of-flight mass spectrometer

The work consists of two parts and is devoted to a comparative analysis of the declared cognitive and actually perceived affective relations to friendship. It is based on the results of a pilot survey conducted at DSTU at the end of 2019, in order to comprehensively measure the two components of students ' friendly attitudes. In the first part of the work, the rationale for the need for such complex measurements is given, and the method used to identify the cognitive component that we associate with the declared attitude is briefly shown. The results of the hierarchy of factors that describe various aspects of the structure of the cognitive perception of friendship are presented. It is found that the primary 11 characteristics that were used for the survey in the questionnaire are statistically dependent, and at the next level they are reduced to three indicators: moral relationships in friendship, interpersonal interaction in friendship, and the impact of friendship on life in General. At the higher level, these factors, in turn, are reduced to one integral indicator of the cognitive perception of friendship. The distribution functions by respondents for all these factors are given in the next part of the paper. Where they are used for comparative analysis.

Keywords: friendship, pilot survey, cognitive component, hierarchical factorization method, distribution functions, affective component, comparative analysis