The transition from scheduled maintenance and repair of equipment to maintenance based on its actual technical state requires the use of new methods of data analysis based on machine learning. Modern data collection systems such as robotic unmanned complexes allow generating large volumes of graphic data in various spectra. The increase in data volume leads to the task of automating their processing and analysis to identify defects in high-voltage equipment. This article analyzes the features of using computer vision algorithms for images of high-voltage equipment of power plants and substations in the infrared spectrum and presents a method for their analysis, which can be used to create intelligent decision support systems in the field of technical diagnostics of equipment. The proposed method uses both deterministic algorithms and machine learning. Classical computer vision algorithms are applied for preliminary data processing in order to highlight significant features, and models based on unsupervised machine learning are applied to recognize graphic images of equipment in a feature space optimized for information space. Image segmentation using a spatial clustering algorithm based on the density distribution of values ​​taking into account outliers allows detecting and grouping image fragments with statistically close distributions of line orientations. Such fragments characterize certain structural elements of the equipment. The article describes an algorithm that implements the proposed method using the example of solving the problem of detecting defects in current transformers, and presents a visualization of its intermediate steps.

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

The annual growth of the load on data centers increases many times over, which is due to the growing growth of users of the information and telecommunications network Internet. Users access various resources and sources, using search engines and services for this. Installing equipment that processes telecommunications traffic faster requires significant financial costs, and can also significantly increase the downtime of the data center due to possible problems during routine maintenance. It is more expedient to focus resources on improving the software, rather than the hardware of the equipment. The article provides an algorithm that can reduce the load on telecommunications equipment by searching for information within a specific subject area, as well as by using the features of natural language and the process of forming words, sentences and texts in it. It is proposed to analyze the request based on the formation of a prefix tree and clustering, as well as by calculating the probability of the occurrence of the desired word based on the three sigma rule and Zipf's Law.

Keywords: Three Sigma Rule, Zipf's Law, Clusters, Language Analysis, Morphemes, Prefix Tree, Probability Distribution

in modern dynamically developing cities, renovation processes are often accompanied by new construction in already built-up areas. In recent years, in Yekaterinburg, the loss of urban facilities that were well known to citizens has caused more and more resonance and attracted the attention of public organizations that oppose demolition. This article attempts to analyze the changes that have occurred in four Ural cities in terms of the loss of architectural objects, compare the reaction of citizens to these losses and determine the most significant losses for cities.

Keywords: demolition, historical heritage, preservation, loss, cities, renewal, urban environment, public organizations, citizens, significance, value

The study is devoted to the development of electronic and distance learning tools for mastering the skills of applying mathematical methods by specialists in the field of automated systems development. The concept (structure) of an automated information system (AIS) for managing the life cycle of exercises to study optimization methods has been developed and schematically presented. An important element of decision support in the AIS is software simulators (training and training components) that generate exercise options and automatically check them based on the properties of mathematical models of optimization problems. An algorithmic and prototype software for the training subsystem for monitoring the skills of solving optimization problems have been developed. Variations in the interfaces for constructing a mathematical model for an optimization problem by a student when performing an exercise in the AIS are demonstrated. Building a model in the interface and, accordingly, the complexity of the exercise depends on the number of model parameters that can be changed by the student. The simulator provides an integral assessment of the student's actions when performing the task. The introduction of the simulator into the digital educational environment of the university will automate and simplify the implementation of current and intermediate control of knowledge and skills in the disciplines studied.

Keywords: optimization problems, mathematical programming, decision support, software simulator, mathematical modeling of systems and processes, visual modeling

The article presents the results of statistical analysis of the orthotropy coefficient of a multilayer cylindrical shell under compressive loads. The orthotropy coefficient is defined as the ratio of the critical load for asymmetric buckling of the shell to the critical load for axisymmetric buckling of the shell. It is assumed that the structure web is formed by laying longitudinal, annular and double spiral layers. The input values ​​are the elastic characteristics of the monolayers, assuming that these characteristics are random variables subject to the normal distribution law. The output value is the orthotropy coefficient. All calculations were performed in the MAXIMA computer algebra system. Two most common shell models were investigated: equally rigid and quasi-isotropic. It was found, in particular, that for shells with a quasi-isotropic structure, the orthotropy coefficient is “determined”

Keywords: statistical modeling, monolayer, multilayer shell, composite material, elastic properties, stability, buckling, critical load, orthotropy coefficient, MAXIMA, Monte Carlo method

Two capacitive methods of measuring the linear density of one-dimensional fibrous products are considered. The sensitivity of the measurement results to variations in the geometric and physical parameters of the measuring device for the differential and resonance measurement methods is estimated. A weak, almost linear dependence of the measurement error on parameter variations in a wide variation range is established. The good suitability of both methods for measuring the linear density of one-dimensional products by the capacitive method and the high correlation between the measured value and the measurement results are substantiated.

Keywords: fibrous materials, one-dimensional products, linear density, capacitive measurement method, capacitive method, differential circuit, resonant measurement circuit, parameter variations

Increasing the accuracy of steady-state calculation is possible by taking into account the thermal processes occurring in electrical energy conductors. The wind flow velocity, in turn, is of significant importance in determining the conductor temperature. In this paper, the values of wind speed for an 11-year period are considered. The time series is analyzed and the prediction models of the target variable are tested and the prediction results are compared.

Keywords: power grid mode calculation, thermal processes, wind flow velocity, prediction models, feed forward neural network, ensemble methods

The paper considers the issue of using a computer vision system to control the quality of products in the control algorithm of a mechatronic sorting station. Shoe products are chosen as an example. The developed system is based on machine learning methods for image recognition by segmentation. As a result, a neural network model was created, and a program was written for identifying and selecting objects using a camera for subsequent sorting of defective products. The program contains three modules: initialization for declaring all variables, models, classes, video stream from the camera; the main module, containing an internal loop for each segmented object; a subroutine for completing the work. The introduction of computer vision into the control algorithm increases the efficiency and flexibility of the quality control system, and improves the accuracy of measuring the parameters of objects for their subsequent sorting.

Keywords: mechatronic station, sorting, computer vision, image segmentation, neural network training, control algorithm

In this work, we present the development and analysis of a feature model for dynamic handwritten signature recognition to improve its effectiveness. The feature model is based on the extraction of both global features (signature length, average angle between signature vectors, range of dynamic characteristics, proportionality coefficient, average input speed) and local features (pen coordinates, pressure, azimuth, and tilt angle). We utilized the method of potentials to generate a signature template that accounts for variations in writing style. Experimental evaluation was conducted using the MCYT_Signature_100 signature database, which contains 2500 genuine and 2500 forged samples. We determined optimal compactness values for each feature, enabling us to accommodate signature writing variability and enhance recognition accuracy. The obtained results confirm the effectiveness of the proposed feature model and its potential for biometric authentication systems, presenting practical interest for information security specialists.

Keywords: dynamic handwritten signature, signature recognition, biometric authentication, feature model, potential method, MCYT_Signature_100, FRR, FAR

During the research, a new prestressing system was developed for carbon fiber reinforced polymer plates to reinforce damaged steel beams. A parametric analysis was performed using finite element modeling. The results showed that satisfactory amplification efficiency can be achieved using the new pre-voltage system. The prestressed carbon fiber significantly increased the performance when bending beams at the elastic and elastic-plastic stages due to the use of high-strength carbon fiber plates. In addition, as the pre-voltage level increased, the amplification efficiency increased. A simple increase in the area or modulus of elasticity of the carbon fiber plate slightly improved the hardening efficiency, while the simultaneous application of prestressing clearly increases the hardening efficiency.

Keywords: reinforcement, steel beam, prestressing, new system, carbon fiber plate

The article focuses on methods for reducing high inductance in power supply circuits using one of the IC substrate topologies with a high-speed interface as an example. The interface in question operates at a speed of 28.25 Gbit/s and imposes strict requirements on the parameters of the power supply inductance. The presented solutions are aimed at ensuring low values ​​of power supply inductance in conditions of high layout density and power integrity requirements for modern data transfer interfaces.

Keywords: power supply inductor, power system, low noise power supply, power supply impedance, analog power supply, serial interface, high speed interface, organic substrate, IC packaging

The presented article reveals the issue of using waste from the automotive industry of rubber products as one of the possible ways to improve the quality of asphalt pavement and, accordingly, reduce the number of repair activities and material costs for their implementation and increase the service life of the roadway. The tests carried out show that the asphalt-concrete mixture using a modifier based on active rubber powder demonstrates the best mechanical and operational characteristics. The strength and elasticity of asphalt concrete increases, as well as the abrasion resistance decreases, which leads to a longer use time of this web. Such changes in the characteristics of the roadway have a positive effect on the economic side of the issue. Improving the quality of the finished product increases the time intervals between repair actions, which reduces material and resource costs. The adhesion of the road to the rubber of cars is improved.

Keywords: asphalt concrete, asphalt mix, automobile waste, rubber crumb, modifier, active rubber powder

The article considers a robotic control system for implementing the S-shaped movement of a snake robot, and evaluates the specifics of its use on a physical prototype. Since the snake robot is a complex composite structure, the assessment and assignment of a certain type of movement becomes one of the primary tasks in the development of this control system. The simulation model of the snake robot is implemented using mathematical modeling in the Russian software REPEAT. As a result of the simulation, it was found that the developed control system ensures the operability of the robotic system, ensures the accuracy of movement and adaptability to changing external conditions.

Keywords: mathematical modeling, simulation model, REPEAT, snake robot, wave motion control system, torque variation

The paper proposes a method for calculating the area of a flat area from a photograph based on the use of mathematical analysis methods. To calculate the area, a curved integral of the second kind is used along a closed contour bounding the area under consideration. Defining the boundary in the form of a Bezier spline reduces the calculation of a curved integral to the calculation of several definite integrals from the Bernstein basis polynomials. An explicit form is obtained for integrals of Bernstein basis polynomials. For a third-order Bezier spline, a formula is derived for calculating the area of the area in terms of the coordinates of the reference points of the Bezier curves.

Keywords: cubic spline, Bernstein basis polynomials. Bezier curve, Bezier spline, Green's formula, beta function, gamma function

Diagnosing the technical condition of complex objects and planning repair-restoration work is a pressing challenge in today’s economy. This paper presents an approach to solving this problem using an integral indicator developed by the authors: the Modified Technical Condition Index. A conceptual model for a continuous (cyclical) monitoring system of this integral indicator’s levels is proposed. To assess an object’s technical condition, a linguistic scale is introduced, which generates recommendations for repair-restoration actions. Additionally, a resource-constrained planning system for repair-restoration work is developed.
The novelty of this work lies in the proposed methodology for creating an evaluative linguistic scale based on the integral indicator. This scale enables qualitative assessment of an object’s condition and provides actionable recommendations for repair-restoration efforts. The paper also addresses resource-constrained planning of repair-restoration work using the Modified Technical Condition Index for complex technical objects.

Keywords: express diagnostics, planning repair-restoration work, integral technical condition indicator, conceptual model of continuous (cyclical) monitoring, technical condition level assessment