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The Bulletin of the Adyghe State University, the series “Natural-Mathematical and Technical Sciences” |
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#2 / 2022Biological SciencesBotasheva T.L., Shakhanova A.V., Kapustyan E.G., Zavodnov O.P., Zheleznyakova E.V., Gayda O.V., Shubitidze M.G.Influence of morphofunctional asymmetries of the “mother-placenta-fetus” system on the indicators of autonomic regulation of the heart rate in women in the postpartum period
The paper presents the results of a study of the features of autonomic regulation of heart rate (statistical and spectral) in women in postpartum period depending on morpho-functional asymmetries. It has been established that in the case of the coincidence of the vector of asymmetries of the lateral phenotype and placental lateralization that occurs in women during pregnancy (with left-handed profile of asymmetries and left-handed placenta) the most stable indicators of autonomic regulation of cardiac rhythm both during functional rest and active orthostasis were detected in 80% of cases. The most unfavorable indicators of autonomic regulation of heart rate were detected at the coincidence of the nature of the initial and gestational asymmetries in ambidexters with ambilateral location of the placenta in the largest number of cases (90%), as well as in case of opposite direction of initial and gestational asymmetries in right-handers with left-sided placentation (75%).
MathematicsShumafov M.M., Panesh T.A., Havadja M.A.On the stochastic stability in the large of solutions of the nonlinear second-order differential equations perturbed by white noise. III
This paper is a continuation of the previous paper and presents the third 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 parts of the work we present some mathematical preliminaries from probability theory, stochastic processes and stability of stochastic differential equations. Here, in the third part, we give definitions of stochastic differentials by Ito and Stratonovich, stochastic differential equations in the form of Ito and in the form of Stratonovich, solution of stochastic differential equation, the existence and uniqueness theorem is formulated, Ito’s formula for differentiation of composite function is given, stochastic analog of classical Newton-Leibnitz formula is presented. In the work sufficient conditions for stochastic asymptotic stability in the large 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.
Straight line isoclines and questions of the absence of closed trajectories of polynomial vector fields
Some theorems on straight line isoclines of polynomial vector fields of general form are proved. For example, it is shown that if a straight line passes through n equilibrium states of a system, then it is an isocline of this system. Using the properties of straight line isoclines for quadratic and cubic differential systems, coefficient conditions are indicated under which they do not have closed trajectories, in particular, limit cycles surrounding the equilibrium state (or focus) (0,0). Examples of such systems are given.
Technical SciencesRybanov A.A., Aysin D.V.Software and information system for training in operation with an optical scope
The organization of the process of learning to use optical scopes is a time-consuming and costly process. It includes a set of actions that can be transferred to a virtual environment without harming the quality of training. Processes such as learning theoretical information and visiting shooting range for training the aiming skill and handling weapons are most suitable for trans-ferring to a virtual environment. To solve the described problems, it is advisable to develop a software information system for teaching how to work with optical sights. The article discusses software tools for the implementation of the proposed system, and also describes the reason for choosing Unreal Engine 4 as a development tool. A brief analysis of potential analogues for the system under consideration is also given and the reasons for their unsuitability for use in order to solve the described problems are given. In addition, the article provides a mathematical description of the physical formulas applicable to calculate the projectile trajectory in the system is being developed.
Ensuring the information security of the website in the conditions of import substitution
The paper discusses the threats to which websites are exposed and ways to neutralize them. The protection of websites is now often carried out using solutions developed abroad. The presence of risks associated with the disabling of Internet resources of critical infrastructure facilities in Russia requires the organization of systematic work to eliminate these information attacks. Due to the need to ensure the smooth operation of government websites, mass media, financial institutions, socially significant mass portals and networks, it is necessary to ensure the replacement of foreign means of information protection with domestic ones. The paper offers options for replacing foreign software used in the country, with the domestic one similar to it in terms of the implemented functions within the framework of the import substitution trend.
Features of the implementation of an autonomous weather station based on the ESP32 microcontroller
Often, in order to obtain up-to-date weather data, the user decides to use his own meteoro-logical installation. However, this requires taking into account several important features: the need for wireless transmission of obtained data, remote access to information, and the autonomy of the weather station used in terms of power supply. In this regard, the paper considers the features of the implementation of such an autonomous weather station based on the ESP32 microcontroller, which will allow us to evaluate the feasibility and efficiency of using such a solution.
Application of swarm intelligence algorithms in the process of building individual educational trajectories
The rapidly developing education system demanding a special approach in current conditions requires the qualitative, personalized professional training at all educational levels. The given requirement generates necessity of transition from the classical technologies of training, repre-senting, in most cases, a translation of knowledge, towards the use of the educational technologies, making possible to personalize a process of students training. These technologies will give a chance to universities to organize the process of training in such a way that trainees in future could not only reproduce the mastered kind of activity, but also could correct norms depending on changes of a current situation. One of the educational technologies allowing us to reach this is a personification of training by means of application in educational process of the individual educational trajectories promoting obtaining a competence, distinct from the basic track of training. The abundance of courses, modules, and directions of specialization demands the use of algorithms of the intellectual analysis of data at construction of individual educational technologies. The paper presents possible approaches to construction of individual trajectories of training with the use of swarm intelligence algorithms.
Assessment of relevance and concept of smart city development based on artificial intelligence technology
The development of information technologies makes a significant contribution to the solution of professional and everyday problems in modern human life. An issue of using artificial in-telligence technology and machine learning in solving various applied problems is becoming particularly relevant. The main purpose of the presented work is to study the aspects of the relevance of the development of a smart urban environment based on artificial intelligence technology, as well as to present our own proposal for the use of artificial intelligence systems as a tool in the smart city system. We analyze the main advantages of developing the concept of a smart city at the expense of intellectual means, as well as make an analysis of the concept as a whole. The paper uses theoretical, statistical and empirical research methods. In order to obtain the most relevant and objective information, we used scientific materials of domestic and foreign authorship. The predominant part of the paper is devoted specifically to the issue of the development of a smart city based on artificial intelligence technology.
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