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The Bulletin of the Adyghe State University, the series “Natural-Mathematical and Technical Sciences” |
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#3 / 2022Biological SciencesTsikunib A.D., Alimkhanova A.Kh., Ezlyu F.N., Pavlyuchenko S.A.Effect of sugarose-lactose imbalance in nutrition on overweight and quality of life adolescent girls
In this study, based on the analysis of the actual diets of adolescent girls, a high level of sucrose consumption and low levels of lactose and calcium consumption were found. The results of our study revealed that a high sucrose-lactose imbalance contributed to the formation of excess body weight in adolescents, including through reducing calcium absorption and impaired calcium homeostasis in the body.
MathematicsShumafov M.M., PaneshT.A., Havadja M.A.On the stochastic stability in the large of solutions of the nonlinear second-order differential equations perturbed by white noise. IV
This paper is a continuation of the previous paper and presents the fourth part of the authors’ work. In the work, nonlinear autonomous second-order differential equations with random right-hand sides of the type of white noise are considered. In the first four parts of the work, we present some mathematical preliminaries from probability theory, stochastic processes, theory of stochastic differential equations and stability theory of stochastic equations. In the fourth part, we give the basic definitions of stochastic stability, the notion of Lyapunov’s functions for the systems of stochastic differential equations, and basic theorems from the stability theory of stochastic differential equations are formulated. In the work, new sufficient conditions for stochastic asymptotic stability of solutions of the nonlinear second-order Ito’s stochastic differential equations are obtained. The probabilistic estimations of the remaining of a random trajectory in a bounded region of the phase plane are given. As an example, harmonic oscillator perturbed by white noise random process is considered.
An elementary proof of a theorem about the absence of cycles encircling the equilibrium state of the node-type
In the paper, we give a new proof of the theorem on the existence or absence of closed trajectories encircling a single equilibrium state of the “node” type.
On limit cycles of a cubic system having four invariant lines
Sufficient conditions are presented for the existence of no more than one limit cycle in the cubic autonomous differential system having four invariant lines. Examples are given of a system with four invariant lines and a limit cycle located both inside and outside the parallelogram formed by invariant lines.
Technical SciencesBuchatskiy P.Yu., Onishchenko S.V., Teploukhov S.V.Development of a method for determining the geometric parameters of objects in an image based on a neural network approach
In this paper, we consider the process of developing a method for determining the geometric parameters of objects located in the image for the task of counting round timber located in stacks. To implement the method, a neural network approach is used with application of the YOLOv5 convolutional neural network architecture. For the developed method, a series of experimental measurements was carried out using special manufactured models of objects with certain dimensions, as a result of which the measurement accuracy of the proposed method for determining the geometric parameters of objects in the image was determined.
Monitoring the movement of security modules in the perimeter security system
The paper presents a software system for monitoring the movement of security modules in the perimeter security system. A solution to the problem of developing a software package for planning and controlling the spatial movements of security modules is presented. The developed software system has the ability to display territorial objects and security modules, integrating incoming information into a single space.
Development of a system for extending the flight range of an unmanned aerial vehicle using LoRa wireless communication technology
The article discusses the basic principles of ensuring the communication of an unmanned aerial vehicle (UAV) with a ground control system. The specific requirements for providing communication with a drone, depending on the way it is used in various fields, are also analyzed and the main problems of providing communication between drones and ground stations are identified. To extend the range of controlled flight, a general scheme of a solution based on signal retransmission using LoRa communication technology, the Arduino Nano programmable board and the Ra-01 radio transmission module has been developed. The paper describes an algorithm for processing a data stream in the mode of direct communication and retransmission of telemetry packets.
Analysis of typical vulnerabilities in building web applications
Web technologies make it possible to simplify business processes. It is impossible to imagine a modern organization that does not use a web page or a web application. To maximize the benefits of web technologies, resources should be as accessible as possible to the target audience, but in this case, they are also available to attackers. This article analyzes typical threats and describes typical vulnerabilities that arise during the development of a web application.
Conceptual approaches for the formation and implementation of interfaces models of information medical decision support systems
Medical information systems and reference approaches in developing their information models are increasingly based on principles that model three different types of information: patient data, terminology, and medical decision support. Well-defined interfaces are required between these three model types. The main problems that arise when defining such interfaces are the interactions between ontological and logical conclusions. The paper presents a concept-driven software development approach, where conceptual primitives are appropriately provided to define static, dynamic, and conversational aspects.
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