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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 ...Более

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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 ...Более

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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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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 ...Более

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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 ...Более

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Regularized Asymptotics of the Solution of Systems of Parabolic Differential Equations

Asan ÖMÜRALİEV | Ella ABILAYEVA

The regularization method for singularly perturbed problems of S. A. Lomov is generalized to constructing the asymptotics of the solution of the first boundary value problem for systems of differential equations of parabolic type with a small parameter at all derivatives.It is shown that the asymptotics of the solution of the problem contains n exponential, 2n parabolic and 2n angle boundary layer functions.The exponential boundary layer function describes the boundary layer along t 0, the boundary layer along x 0 and x 1 is described by parabolic boundary layer functions. © 2022, University o ...Более

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Exploring of the ameliorative effects of Nerium (Nerium oleander L.) ethanolic flower extract in streptozotocin induced diabetic rats via biochemical, histological and molecular aspects

Ali ASLAN

Background: Nerium oleander L. is ethnopharmacologically used for diabetes. Our aim was to investigate the ameliorative effects of ethanolic Nerium flower extract (NFE) in STZ-induced diabetic rats. Methods: Seven random groups including control group, NFE group (50 mg/kg), diabetic group, glibenclamide group and NFE treated groups (25 mg/kg, 75 mg/kg, and 225 mg/kg) were composed of forty-nine rats. Blood glucose level, glycated hemoglobin (HbA1c), insulin level, liver damage parameters and lipid profile parameters were investigated. Antioxidant defense system enzyme activities and reduced gl ...Более

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Bernstein-Nikolskii-Markov-type inequalities for algebraic polynomials in a weighted Lebesgue space

Meerim İmaş Kızı | Fahreddin ABDULLAYEV

In this paper, we study Bernstein, Markov and Nikol’skii type inequalities for arbitrary algebraic polynomials with respect to a weighted Lebesgue space, where the contour and weight functions have some singularities on a given contour. Keyword: In this paper, we study Bernstein, Markov and Nikol’skii type inequalities for arbitrary algebraic polynomials with respect to a weighted Lebesgue space, where the contour and weight functions have some singularities on a given contour

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Comparative modeling and enzymatic affinity of novel haloacid dehalogenase from Bacillus megaterium strain BHS1 isolated from alkaline Blue Lake in Turkey

Yılmaz KAYA

This study presents the initial structural model of L-haloacid dehalogenase (DehLBHS1) from Bacillus megaterium BHS1, an alkalotolerant bacterium known for its ability to degrade halogenated environmental pollutants. The model provides insights into the structural features of DehLBHS1 and expands our understanding of the enzymatic mechanisms involved in the degradation of these hazardous pollutants. Key amino acid residues (Arg40, Phe59, Asn118, Asn176, and Trp178) in DehLBHS1 were identified to play critical roles in catalysis and molecular recognition of haloalkanoic acid, essential for effi ...Более

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Fejér-type positive operator based on Takenaka-Malmquist system on unit circle

Fahreddin ABDULLAYEV

Let φ={φk}k=−∞∞ denote the extended Takenaka–Malmquist system on unit circle T and let σn,φ(f), f∈L1(T), be the Fejér-type operator based on φ, introduced by V. N. Rusak. We give the convergence criteria for σn,φ(f) in Banach space C(T). Also we prove the Voronovskaya-type theorem for σn,φ(f) on class of holomorphic functions representable by Cauchy-type integrals with bounded densities. Keywords: Holomorphic functions; Takenaka–Malmquist system; Fejér type operator; Blaschke product; Frostman condition

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