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Focusing on the case study of post-Soviet Kyrgyzstan, this article examines high school students' perception of their schools and education by using metaphors. A total of 1433 high school students participated in this research. Based on the data that we collected from 9th and 10th grade students during field research (January - February 2020) in various regions of Kyrgyzstan and analysed students' answers about their schools. The findings show that the study's participants produced 178 metaphors about their schools. The participants used 102 positive, 108 negative metaphors and 32 metaphors fo ...More
In this study, we consider an optimal control problem for an Euler-Bernoulli beam equation. The initial velocity of the system is given by the control function. We give sufficient conditions for the existence of a unique solution of the hyperbolic system and prove that the optimal solution for the considered optimal control problem is exists and unique. After obtaining the Frechet derivative of the cost functional via an adjoint problem, we also give an iteration algorithm for the numerical solution of the problem by using the Gradient method. Finally, we furnish some numerical examples to dem ...More
This paper examines the role of the classroom environment in promoting student well-being and, more specif-ically, a sense of responsibility towards nature in the city. The study analyzed how indoor vs outdoor educational environments affect students' perception of events and phenomena focusing on emotional, behavioral and cognitive processes. It was conducted in the Kayakyolu Secondary School, Erzurum, Turkey with 282 students ranging in age from 11 to 14 in grades 5-8. They participated in reading a story in two distinct environments: an enclosed indoor classroom and an outdoor botanical gar ...More
In this paper, we define a two-variable polynomial invariant of regular isotopy, M_K for a disoriented link diagram K. By normalizing the polynomial M_K using complete writhe, we obtain a polynomial invariant of ambient isotopy, N_K, for a disoriented link diagram K. The polynomial N_K is a generalization of the expanded Jones polynomial for disoriented links and is an expansion of the Kauffman polynomial F to the disoriented links. Moreover, the polynomial M_K is an expansion of the Kauffman polynomial L to the disoriented links.
A numerical solution of the system of linear Volterra–Stieltjes integral equations of the second kind has been found and analyzed using the so-called generalized trapezoid rule. Conditions for estimating the error have also been determined and justified. A solution of an example obtained using the proposed method is given.
The problem of integrability of ordinary differential equations to find their exact solutions is a celebrated problem in the theory of differential equations which attracted attention of several workers in the area. This is due to the fact that: (a) differential equations are the most widely used continuous models of dynamic systems in physics, medicine, economics, biology and other sciences that study the surrounding reality, for which the explicit trajectory of the dynamic system's behavior is important as the explicit solution contains in itself the maximum information about the behavior of ...More
In this paper, we define a subclass of analytic functions by denote (Formula Presented) satisfying the following subordinate condition (Formula Presented) where (Formula Presented). We give coefficient estimates and Fekete-Szegö inequality for functions belonging to this subclass.
The purpose of this article is to show the importance of the application and use innovative technologies in educational process. This article considers the problems of teaching 2D- and 3D-computer graphics technologies in the higher educational institutions. Support of independent works of students for project creation. The paper also presents personal original video tutorials developed in the Kyrgyz-Turkish University Manas and shares the experience of video lessons creation. However, one of the main problems at secondary schools and higher educational institutions is the lack of video lesson ...More
One of the biggest problems of modern mathematics is, to a large extent, its isolation from the world around it. Extensive use of linear difference equations can make a great contribution to solving this problem. In the language of these equations, the problems of financial mathematics are beautifully presented. And as can be understood from the study of difference equations, this is by no means their only advantage. In particular, there is a direct connection between the theory of linear difference equations and the theory of linear ordinary differential equations. Therefore, we are convinced ...More
The problem of control of the process described by the nonlinear differential equation with partial derivatives of the first order, with conditions at t 0 and in a sequence n of points x1 < x2 ... < xn is solved. The criterion of quality of control is the integrated quadratic functional, which depends on a final state of system and set n of controlling parameters. The method of increment of functional is applied to reception of conditions of optimality, and the method of additional argument (MAA) is applied for the decision of the nonlinear equations with partial derivatives.
The regularized asymptotics of a solution of the Cauchy problem for systems of singularly perturbed ordinary differential equations is constructed. It is shown that a power boundary layer appears in such problems in addition to other boundary layers.
In this paper we construct the asymptotics of the solution of the Cauchy problem for a singularly perturbed hyperbolic system by using the regularization method for singularly perturbed problems of S.A. Lomov. The regularization method for singularly perturbed problems of S.A. Lomov is used for the first time to construct the asymptotic solution of a hyperbolic system.