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Investigation of Kyrgyz Learners’ Engagement in Online Courses

Gülşat MUHAMETJANOVA | Azat AKMATBEKOVA

This study aimed to investigate Kyrgyz learners' engagement in online courses. In this respect, the Student Engagement Scale and appropriate open-ended questions were employed in order to obtain data from learners. The sample covers 400 undergraduate learners studying at Kyrgyz-Turkish Manas University. The study has a mixed research design, hence both quantitative and qualitative approaches were employed. The results of the study revealed that behavioral engagement has a significant effect on learner achievement. The study also demonstrated that the engagement of Kyrgyz learners in online cou ...More

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Asymptotics of the solution of the hyperbolic system with a small parameter

Asan ÖMÜRALİEV | Ella ABILAYEVA

Asymptotic study of singularly perturbed differential equations of hyperbolic type has received relatively little attention from researchers. In this paper, the asymptotic solution of the singularly perturbed Cauchy problem for a hyperbolic system is constructed. In addition, the regularization method for singularly perturbed problems of S. A. Lomov is used for the first time for the asymptotic solution of a hyperbolic system. It is shown that this approach greatly simplifies the construction of the asymptotics of the solution for singularly perturbed differential equations of hyperbolic type.

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ON OPTIMAL CONTROL OF THE INITIAL VELOCITY OF AN EULER-BERNOULLI BEAM SYSTEM

Ercan ÇELİK

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

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H-infinity-NORM EVALUATION FOR A TRANSFER MATRIX VIA BISECTION ALGORITHM

Ercan ÇELİK

In this paper, we compute H.-norm of a transfer matrix, via bisection algorithm. The algorithm is given and applied some problems. The problems are choosen from various areas of control theory such as aircraft models and decentralized interconnected systems.

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An invariant of regular isotopy for disoriented links

İsmet ALTINTAŞ

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.

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Approximate Solution of the System of Linear Volterra-Stieltjes Integral Equations of the Second Kind

Avıt ASANOV | Kalıskan MATANOVA

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.

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SOLUTION OF SOME LINEAR SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS

Anarkül URDALETOVA

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

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Biological activities and chemical composition of Xanthoria lichens from Turkey

Ali ASLAN

This study presents the biopharmaceutical potential and bioactive composition of Xanthoria lichens (X. candelaria, X. elegans, X. parietina) that wildly grown and traditionally utilized as medicine in North Eastern Anatolia, Turkey, which has specific microclimatic and ecological zones. Chromatographic findings revealed significant levels of parietin compound (35 to 49 mg/g extract), low levels of various fatty acids and a volatile compound; α-terpinene in the extracts. The extracts exhibited pronounced antioxidant potential through reducing and scavenging mechanisms; FCR: 33-38 mg gallic acid ...More

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Characterization of a 2,2-dichloropropionic acid (2,2-dcp) degrading alkalotorelant bacillus megaterium strain bhs1 isolated from blue lake in Turkey

Yılmaz KAYA

An acid, 2,2-dichloropropionic acid (2,2-DCP) is an active ingredient in herbicide (Dalapon®). Using 2,2-DCP as a model substrate, an alkalotolerant bacterium was successfully isolated from the Blue Lake, Turkey. This bacterium is a potential bioremediation agent of recalcitrant xenobiotic halogenated compounds. This study aimed to prove the efficacy of the alkalotolerance Bacillus megaterium BHS1 in degrading 2,2-DCP as the sole source of carbon. Biolog GEN III system and 16S rRNA analysis were used for the identification of the bacterium. It was discovered that the strain BHS1 is Bacillus m ...More

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Ecology and Environmental Aspects of “Makmalzoloto” Gold Mining Area in Kyrgyzstan

Nazgül İMANBERDİYEVA

This investigation enlightens the original data on the ecological situation of Makmal Valley and neighboring villages Makmal and Chetbulak Toguz-Toro in “Makmalzoloto” gold mining area in Kyrgyzstan. The study was undertaken to put forward the possibilities for preservation of rich biodiversity and ecological state in these villages. The area is under pressure from the activities of gold extraction. Even today environmental pollution and high levels of radiation are observed. The extraction activity has seriously damaged and produced a negative impact on pastures, livestock, as well as biodive ...More

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Fekete-Szegö inequality for a subclass of analytic functions associated with Gegenbauer polynomials

Muhammet KAMALİ

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.

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Interactive effects of cold and temperate conditions on growth and biochemical content of Antarctic microalga Chlorella variabilis YTU.ANTARCTIC.001

Yılmaz KAYA

The aim of this study was to isolate and identify Antarctica microalgae collected through the National Antarctic Science Expedition and to examine the growth responses and biochemical contents of Chlorella variabilis under cold and temperate cultivation conditions in growth medium consisting of various nitrogen concentrations under different lighting cycle parameters. In this study, the Antarctic microalgae Chlorella variabilis YTU.ANTARCTIC.001, was cultivated at different temperatures of 4, 13, 20 and 27 °C in modified BG-11 medium with various concentrations of NaNO3 (0, 0.75, 1.5, 2.5 and ...More

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