The paper discusses a method for constructing a nonlinear software reliability efficiency function. The proposed algorithm is based on the use of information about the values ​​of reliability criteria, as well as some expert judgments. This approach differs significantly from previously proposed models for assessing software reliability, which are based on a probabilistic approach. In the proposed method, in addition to objective information, subjective expert assessments are taken into account, which allows for a more flexible assessment of the reliability of software products.

Keywords: software reliability, probabilistic models, statistical models, partial performance criteria, linear programming, vector optimization, decision theory

With the development of digitalization of all spheres of society, the relevance of developing new software, and therefore methods of protecting it from illegal copying and reproduction, increases significantly. The main risks are related to both hacking of the finished release and leakage of individual code segments at the development stage. At the same time, the chances of leakage directly depend on both the number of specialists involved in the development process at different stages and the number of stages themselves. The purpose of this work is to develop an embedded module aimed at protecting software or its individual elements from illegal copying and further reproduction.

Keywords: software protection, information protection, embedded security module, hardware binding

The problem of increasing consumption of heat and energy resources in the high-rise residential sector in the conditions of dense urban development becomes more relevant every year both for its population and for management companies. In order to reduce operating costs, to reduce the dependence of engineering systems of high-rise residential building on urban infrastructure, it is proposed to introduce some energy-efficient organisational and technological solutions in the designed apartment building. In the course of the study, on the example of a high-rise 25-storey residential building in the city of Rostov-on-Don, a comparison of operating costs of thermal energy for heating with the use of energy-saving materials and structures, and costs in typical conditions of construction. The results of this work will allow, from a practical point of view, to analyse the feasibility of using such energy-efficient building envelopes and materials as foil PIR-insulation, low-emission four-chamber glazing, "green" roofing in high-rise housing construction.

Keywords: energy efficient building envelopes, heat consumption, heating costs, high-rise apartment block, economic analysis, sustainable construction

When studying the problems of water filtration to a single horizontal imperfect drain of finite length, in a system of interacting horizontal imperfect drains, it is necessary to consider spatial (three-dimensional) filtration problems. Unlike flat (two-dimensional) problems, spatial filtering has been studied in less detail, since it is difficult to obtain rigorous solutions to their problems.

Keywords: water supply facilities, filtration, equipotentials, drainage, borehole, pressure reservoir, drain, pressure, inflow, reservoir, watercourse

The possibility of architectural and spatial organization of a series of urban interiors located along the route of communication between buildings and faculties of university complexes of an “integrated” and “distributed” type is being considered. Requirements for such transit spaces are being formed. Options for a scenario for organizing such spaces are proposed, which is an algorithm for the spatial formation of successive functional zones and the student’s consciousness throughout the process of movement and learning. “Architectural-environmental modules” are proposed as a structural unit, including various equipment options and small architectural forms - as a means of organizing spatial scenarios. A typology of similar modules has been developed for various transit zones and types of urban spaces. This approach allows us to form and support the brand of the university as a unified communication space.

Keywords: university complex, transit urban spaces, scenario approach, functional-thematic zones, architectural and environmental modules.

The article considers the issue of studying the deviation of geometric parameters of a curved surface and a facet surface approximating it. The approximating surface was constructed by triangulation. To obtain adequate results when approximating a surface, it is necessary that the geometric parameters of the approximated surface differ minimally from the parameters of the faceted surface. One of the most important geometric parameters of a surface is its normal at a given point. The deviation of the normals of the given and approximating surfaces significantly affects the calculation error.

Keywords: curved surface, faceted surface, normal to the surface, linear frame, tinted image, plane compartment

This article examines the previously studied linear in factors and non-linear in parameters modular regression model containing unary module operations. Through the use of binary, ternary, ..., l-ary module operations, a generalization of modular regression was proposed for the first time. A special case of generalization is considered - regression with a multiary operation modulus. The problem of accurately estimating such a model using least absolute deviations is reduced to a mixed integer 0-1 linear programming problem. Using data on farm productivity built into the Gretl econometric package, classical linear regression and modular regression with a multivariate operation were built. The quality of approximation of the proposed modular regression turned out to be higher than the quality of the linear model.

Keywords: regression analysis, modular regression, least absolute deviations, multiary operation modulus, mixed integer 0-1 linear programming problem