The paper considers a model problem of a combined thermal and diffusion process in silicon. The mathematical model of this process is an initial-boundary value problem for a system of linear partial differential equations of parabolic type. In this system, one equation describes the process of heat propagation in silicon, and the other describes the process of impurity diffusion in it. In this case, the equations are not independent in the same way that the diffusion coefficient depends on temperature. For each equation in this system, the corresponding initial-boundary conditions are set. An implicit difference scheme and the classical sweep method are used to find an approximate solution to the problem that has arisen. The paper presents a description of a numerical algorithm and exact calculation formulas for solving a discretized parabolic problem.

Keywords: model of thermal diffusion process, numerical simulation, sweep method, implicit difference scheme

The article discusses the method of recognizing contours in the primary image. An algorithm has been developed for finding the absolute minimum of functionality in an image.

Keywords: contour, algorithm, defect, recognition, cut, reference frame, minimum search

Geodesic control plays an important role in the reconstruction of cultural heritage sites. It allows the accurate determination of the geometric parameters of historic objects, which can be particularly important for restoring their historic size and shape to achieve the most accurate match to the original appearance. Geodetic work is carried out to support the accuracy of design and construction. They allow you to monitor the consistency of the design documentation and the actual work performed. This can help avoid errors and additional work during the construction phase and ultimately ensure a higher quality of reconstruction. This paper describes geodetic support during the reconstruction of the residence of Patriarch Kirill. Located on a huge territory the complex has a high religious-historical and cultural significance, which determines the quality of geodetic control at all stages of reconstruction and construction works.

Keywords: object of cultural heritage, architectural monuments, reconstruction, geodetic surveys, geodetic network, geodetic control, geodetic monitoring

This article discusses the concepts of ""sustainable and integrated development"" of territories, problems and ways to solve them. The main problems of the development of modern urbanized territory are identified. A solution to the problem is proposed based on an approach to a comprehensive assessment of territories, which will allow in the future to give recommendations on how to eliminate problems associated with providing the required green framework in the study area.

Keywords: sustainable development of territories, integrated development of territories, ecological framework, green framework, architectural concept, transport and road infrastructure

Due to the intensive development of digital technologies, significant progress is be-ing observe in the creation of automated systems and technologies. One of the most pressing problems at the present stage of industrial development is the presence of cases of oil spills caused because of technological accidents and accidents. With advanced achievements in the field of digital technologies, it seems possible to au-tomate the process of identifying oil spills. The main purpose of the current article is to analyze the possibility of using unmanned aerial vehicles to perform automatic identification of oil spills. The author investigates this issue, and presents an option to increase the use of these systems based on the development of a special image-processing algorithm based on exponential accumulation and the variance method. The results of the work confirm the hypothesis of the effective use of unmanned aerial vehicles for automatic identification of oil spills.

Keywords: automation, unmanned aerial vehicle, oil spill, identification, image processing

The search for orthogonal and quasi-orthogonal matrices is considered as a sequence of setting initial conditions, choosing an implementation method, filtering a set of generated sequences. It is proposed to accelerate the search for matrices by pre-fixing their structure and filtering the generated sequences using the Fourier spectrum. Fixing the structure involves using the symmetry properties of the desired matrices. Filtering allows you to exclude sequences with explicit spectrum outliers when forming blocks of symmetric matrices.

Keywords: mining of matrices, Hadamard matrices, Propus conctruction, filtering sequences

The main task in the development and integration of digital automation tools is to increase the efficiency of the enterprise. One of the most relevant areas of integra-tion of such solutions is port activity. The purpose of the current article is to ana-lyze the issues of improving the efficiency of port activities based on intelligent au-tomation tools. The author considers in more detail the solution of the presented problem based on the integration of neural video analytics solutions. The paper us-es theoretical research methods, as well as the results of foreign and domestic scien-tific research. The scientific significance of the work lies in the attempt to systema-tize knowledge about methods of increasing the efficiency of port activities based on intelligent automation tools.

Keywords: port activity, automation, neural video analytics, enterprise, artificial intelligence

The article discusses approaches to solving natural language processing problems such as extracting key concepts or terms, as well as semantic relationships between them to build data-driven IT solutions. The subject of the work is relevant due to the constant growth of volumes of low-structured and unstructured digital text. The extracted information can be used to improve numerous processes: automatic tagging, optimization of content search, construction of word clouds and navigation sections; furthermore, to create draft versions of dictionaries, thesauri, and even bases for expert systems.

Keywords: natural language processing, term, lemma, semantical relationship, statistical processing, machine learning, word2vec

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

Currently, artificial intelligence is gaining more and more development in various sectors of the national economy. However, he is not able to function without the control of a person and helps him in solving a narrow range of tasks. In the article, based on the analysis of leaders in the implementation of AI, the prospects for its development are considered. The role of company management in projects for the implementation of AI tools and methods is emphasized. The possibilities of introducing AI methods in the construction industry are considered. It is proposed at the initial stage to apply machine data processing to solve logistics problems. The main stages of the implementation of AI elements for construction organizations are proposed.

Keywords: artificial intelligence, construction, supply, material resources

The article describes four developed designs of samples of joints of solid wood elements on aluminum linings. They made it possible to simulate the operation of real connections of the main and secondary beams, as well as crossbars and columns. Tests of connection samples were carried out, one of the four developed variants of sample designs was selected that most fully reflects the actual work of real joints of wooden elements. The strength and deformation characteristics of the joint, the upper boundary of the elastic work area (VGOUR) of the joint are determined. Based on the conducted research, the peculiarities of the work of the studied compounds were determined, a sample of the connection of a wooden element with a metal overlay was developed, which allowed the development of measures aimed at increasing the bearing capacity and reducing the deformability of the studied compounds without significant material costs associated with the purchase of expensive SHERPA linings.

Keywords: solid wood, metal slips, testing of joint specimens, joint bearing capacity, joint deformability, upper limit of the elastic work region, full deformation, permanent deformation, elastic deformation, safety factor

3D integration technologies based on highly integrated substrates and bare chips solve the problem of miniaturization of complex functional devices. However, increasing complexity and decreasing mass-size parameters of products lead to problems of effective heat distribution and dissipation from frameless microcircuits. The article considers features and problems of thermal analysis of 3D computing microsystem based on several modules with bare-metal chips, and also shows the importance of modeling the actual heat generation of programmable logic integrated circuits.

Keywords: microassembly, microsystem, chipless chip, FPGA, thermal analysis, CAD, finite element method, heat transfer simulation, printed circuit board, three-dimensional integration

To date, the issue of industrial development of the Northern territories of Russia is being actualize. The main task is the production of concrete works that require the use of special methods. The purpose of the current article is to justify the need to develop a software solution that allows you to automate the calculation of the pa-rameters of the heating wire during winter concreting. The author raises the ques-tion of the relevance of using the method of winter concreting on the example of heating wires. The paper analyzes aspects of the design of this program. The scien-tific significance of the article lies in the possibility of using the presented materials as a basis for creating a real software solution. The predominant part of the article is devoted specifically to the issues of creating a solution for automating the calcu-lation of heating wire parameters during winter concreting.

Keywords: construction, program, automation, heating wire, winter concreting, the Far North

The article considers an experimental study of the stress-strain state of radial beam domes. The maximum stress values are fixed in stretched flexible elements with a peak value of 363.6 MPa. With the calculated resistance of the wire material Bp-I Rs = 410 MPa, there is a 12% load-bearing capacity margin. Note the high level of stresses in other flexible elements with values in the range from 141.4 to 274.72 MPa.

Keywords: radial beam dome, experimental studies, loading, strain gages, deformation

The paper presents the properties and nomenclature of products made of ceramic fiber used for insulating lining in steam reforming furnaces. On the example of the lining of the radiant chamber, the technology of mounting ceramic blankets on anchor studs, which is currently used in the construction and repair of reforming furnaces, is considered. The shortcomings of the existing technology are noted. These include the complexity of the process, the complexity of installation control and the high probability of uneven thermal conductivity of the lining surface due to hidden defects, as well as the spraying of ceramic fiber particles in the air that cause diseases. The nomenclature and technology of installation of insulating lining with ceramic blocks along guide tubes with subsequent resistance welding with the camera body is proposed. The technology will reduce the repair time, improve the thermal conductivity of the camera, reduce the risk of diseases.

Keywords: gas reforming, radiant chamber, insulation lining, ceramic fiber, thermal conductivity of the furnace