The problem of human self-knowledge is very relevant nowadays. People are constantly looking for new methods to study their own “I”. Graphology is one of such methods. The main difficulty of graphological analysis is the lack of automation of the process, the result depends only on the knowledge of the person. In addition, at the moment there is no service capable of carrying out a competent analysis of a person's handwriting. However, there are computer vision methods that, in combination, can produce work similar to that of a graphologist. Such methods include segmentation, binarization, and integral estimation methods. To compare the characteristics of handwriting with human characteristics of character, it is necessary to use classifiers. The use of all methods makes it possible to create a service that automates graphological analysis.

Keywords: graphology, handwriting, personal characteristics, graphological analysis, slope, direction of handwriting, text

In this paper, based on Russian and foreign experience in mathematical modeling of photovoltaic installations, the authors consider the approaches to the construction of these models. The relevance of the research is confirmed by the wide spread of electric energy sources using solar energy. The scheme of photovoltaic element substitution and the dependences describing the processes occurring in it are given. The authors conclude that despite the large number of various mathematical models of photovoltaic elements, all of them can be grouped into two categories. The first category includes models that consider photovoltaic panels as a separate element, and the second category includes models where the photovoltaic panel is a component of a generating complex. Despite the difference in the analyzed approaches, the authors single out a number of parameters that characterize the operation of a photovoltaic panel and are sufficient to obtain simulation results with the required accuracy.

Keywords: photovoltaic panel, mathematical modeling, substitution scheme, distributed generation, power generation

In a market economy, it is required to calculate foundations using methods that will satisfy the requirements of the first and second limit states with the smallest margins, in order to save money. In this study, the analysis of sediments obtained by numerical and analytical methods was carried out. Analytical calculation is presented by the method of corner points according to the model in the form of a linearly deformable half-space and by the method of layer-by-layer summation presented in the form of modified Pasternak, Winkler-Fuss, Pasternak models. The numerical method is presented by the finite element method implemented in the software systems of the PC «Lira-SAPR» and the PC «PLAXIS 3D». As a result, it was found that the minimum discrepancy between the absolute settlement according to the corner point method in comparison with the analytical method according to the Winkler-Fuss, Pasternak, modified Pasternak models is 9.04%, 9.04%, 53.38%, respectively, and in comparison with the numerical method implemented in the PC «Lira-SAPR» and PC «PLAXIS 3D» is 10.49% and 0.52%, respectively. The highest accuracy in comparison with the method of corner points was shown by analytical calculations by the method of layer-by-layer summation in the formulation of Winkler-Fuss and Pasternak, and by the numerical method of calculation performed by the PC "PLAXIS 3D".

Keywords: geotechnics, foundations, «Lira-SAPR», system «Soil», «PLAXIS 3D», foundation sediment, angular point method, slab foundation, mutual influence of foundations, numerical method, analytical method, finite element method

Relevance and goals. The article is devoted to the description of the results of the development process of the geoinformation web portal "Interactive map " Natural and cultural heritage of the Republic of Mordovia. We travel with the Russian Geographical Society"", which implements the functionality of access to a digital map with a layered systematized display of spatial data on objects of natural and cultural heritage of the region. Materials and methods. The implementation of the metageosystem concept in the development of tourism and recreational development projects is based on the broad involvement of paleogeographic, landscape, archaeological, historical, ethnographic, demographic, cultural, environmental and economic information in the research process. Results. During the development of the geoportal "Natural and cultural heritage of the Republic of Mordovia. Traveling with the Russian Geographical Society" solved the problem of creating a new subsystem for visualizing geospatial data for a digital map based on modern web technologies. Conclusions. The developed geoportal system solves the problem of managing the tourist and recreational development systems of the region by implementing the concept of forming an interactive spatial data management tool.

Keywords: geoportals, cultural landscape, spatial data infrastructure, management in organizational systems, spatial data, decision making

The wastewater generated by the pulp and paper industry contains diverse contaminants such as organic substances, fine suspended powders, and dissolved solids. Currently, integrated treatment technologies are employed, utilizing thin-layer settling tank modules to eliminate solid contaminants. This study presents the outcomes of a comparative analysis of the efficacy of a conventional thin-layer module with flat plates and a modified thin-layer module consisting of two levels of plates, positioned in opposing directions, facilitating the rotation of water flow within the module. Through computer simulation techniques, it is demonstrated that the modified module design can enhance the cleaning efficiency by 8-30% for wastewater flow velocities ranging from 0.0025 to 0.0125 m/s. Additionally, particle trajectories and velocity fields were obtained, which clearly illustrate the direction of the dictating flow and circulation zones within the structure.

Keywords: Wastewater, pulp and paper industry, thin-layer module, module with rotation of water flow, computer simulation of particle deposition.

The article contains an analysis of the shallow elastic spherical shell on a rectangular plan, reinforced with ribs along its contour, under the uniformly distributed load. The problem is solved numerically with the variational-difference method, considering the geometric nonlineaity and the shear deformations of the shell and the ribs. As a result, the dependencies of the critical load on the shell stiffness and the ribs stiffness are obtained.

Keywords: shallow spherical shell, ribbed shell, stability, bending stiffness, geometrical nonlinearity, variational-difference method, critical load

The article presents a study of accidents on the roads involving children and persons under the age of majority. An analysis was made of the legal norms for the protection of the rights of the child on the roadway. In addition, an additional means of reducing accidents on the roads, as well as its location relative to the pedestrian, was identified.

Keywords: accident, traffic accident, child, children, incident, road, section, pedestrian

This article discusses the relationship of all stages of the life cycle of buildings on the basis of information-analytical system IAS HCS. The full life-cycle cost of a 1,000-seat school was calculated. Using the IAS HCS program, we made calculations of the costs of repair work on three models: without taking into account any repair work, taking into account the repair of the main structural elements and taking into account the repair of all elements, based on the standard operating time. Real estate life cycle cost analysis can be performed for both new and existing buildings of any type (residential and public). Evaluation of the total costs of the full life cycle of the object can be applied by both the developer and the owner of the building to further improve the management system of the property.

Keywords: lifecycle of construction object, information modeling, social facilities, cost of repair work, replacement cost

This paper presents the results of a study of the speed and acceleration time of a wheeled vehicle with a 4x2 manual transmission with a rear driving axle. A mathematical model of this wheeled vehicle is given. For this purpose, a design scheme of the differential transmission of a wheeled vehicle with a rear driving axle was presented, and a system of differential equations of motion of the car was also given. Simulation modeling is carried out using the MATLAB Simulink environment, which allows conducting research on the developed system based on a given mathematical model.

Keywords: wheeled vehicle, 4x2 manual transmission, rear drive axle, MATLAB Simulink, mathematical model, simulation.

The results of the development of a software package are presented that allow training personnel to work in a district heating system to ensure a reliable process of energy transportation in heat networks. The developed simulator described in the article is a software package that includes a SCADA system and a Termas client for modeling and simulation operation of the district heating system. The simulator consists of a thermal-hydraulic mathematical model of the operating modes of the heating network, software and information support for setting up the operating modes of the simulator and assessing the actions of the personnel by the instructor based on the results of work on the simulator. The requirements for the functionality of the simulator are presented. The Demand Analysis application was used to collect data on energy consumption and outdoor temperature. The process of operation of the simulator in the simulation and modeling mode for the heat networks of the city of Yekaterinburg is presented. The developed software simulator makes it possible to simulate an accident, train personnel in the skills of safe equipment control in complex non-stationary modes. The software package allows you to reduce energy costs.

Keywords: training simulator, software, district heating, heating networks, SCADA system, Termis platform, model, temperature, accident

Modern research of objects of technology is largely carried out using various software systems. One of such software packages is SolidWorks. It is widely used in industrial enterprises and in research organizations. This complex has extensive libraries of properties of various structural materials. However, they do not represent the properties of all possible combinations of materials with the appropriate hardness. When building a model of a real object, it is necessary to accurately set the properties of materials. This will make it possible to carry out various design calculations with greater accuracy. Previous studies have established that the working part of the turbocharger rotor shaft (made of 40X steel) consists of two layers - surface (hardened) with a hardness of HV 530-570 and internal (not hardened). The values of the physical and mechanical properties of 40X steel with a hardness of HV 530-570 necessary for constructing a rotor shaft model are not available both in the SolidWorks material properties library and in the reference literature. To determine the necessary values of the properties of this material, a series of experiments using a bursting machine was carried out. The experiment was carried out with specially manufactured samples subjected to heat treatment to a hardness of HV 530-570. The data obtained as a result of the experiment were used to construct a model of the turbocharger rotor shaft when assigning the properties of the surface (hardened) layer. This approach makes it possible to obtain results corresponding to real details when carrying out engineering calculations of the constructed models.

Keywords: software package, model, engineering calculation, rotor shaft, surface layer, hardness, sample, tensile machine, physical and mechanical properties, repair

The article considers the work of a reinforced concrete beam lying on an elastic half-plane. The strength of concrete is considered as a random variable, while the initial modulus of elasticity of concrete and, accordingly, the initial stiffness of the beam are taken as functions of the random cubic strength of concrete. The base of the beam is considered as an elastic stochastically inhomogeneous half-plane. Using the method of canonical expansions of random functions, the probabilistic parameters of the probability distribution densities of beam deflections, as well as bending moments and transverse forces in a reinforced concrete beam, which are non-stationary random functions, are obtained. This makes it possible to further determine the probability of occurrence of limit states in a reinforced concrete beam.

Keywords: reinforced concrete beam, initial stiffness, cubic strength, inhomogeneous half-plane, distribution density, beam deflection, random function

The most important task of the admissions committee of any university is to advise applicants on admission to the specialties available at the university. In this article, an automated information system has been developed, which, based on the applicant's questionnaire, allows you to form recommendations when choosing a training specialty, taking into account the applicant's personal preferences. Artificial neural networks are proposed to be used as a method of choice, and the multilayer perceptron (MLP) was the model of the neural network.

Keywords: neural network, career guidance, multilayer perceptron, neural network training, methods, automated information system, training directions

The article presents the results of the development of research in the field of automated teaching of foreign languages (on the example of English) on a mobile device with the IOS operating system. A feature of the developed simulator-training system (TOS) is the possibility of forming an individual approach to teaching students to improve the quality of education, using theoretical and practical material, based on the performance of the student. The introduction of TOS contributes to improving the quality of education due to the ease of mastering the material, as well as a clear control of the topics studied. The relevance of the developed application is determined by the popularity and availability of mobile devices, as well as the high prospects for the implementation of applications (in particular, in the field of education and self-education) for this platform.

Keywords: training systems, mobile devices, foreign languages, training, mobile application, IOS, Apple, information technology

The article presents the dependence of the change in the intensity of emission during the passage of an infrared flux through a two-component material, which allows for a fractional assessment of a mixture of natural and chemical fibers. On the basis of the obtained dependence on experimental data, a mathematical model has been constructed that makes it possible to quantify the distribution of dissimilar fibers in a mixture. The modelling results showed that after the second transition on the draw frame, the so-called "stretching" defect is observed, which characterizes the uneven distribution of fibers in the product cross section.

Keywords: emission intensity, infrared evaluation method, mixing of dissimilar fibers, fractional composition, measuring device