• 대한수학회논문집
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• 제30권4호
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• pp.505-513
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• 2015

The present paper deals with the determination of displacement and thermal stresses in a semi-infinite circular cylinder defined as $0{\leq}r{\leq}b$, $0{\leq}z<{\infty}$, due to internal heat generation within it. A circular cylinder is considered having arbitrary initial temperature and subjected to time dependent heat flux at the fixed circular boundary (r = b) whereas the zero temperature at the lower surface (z = 0) of the semi-infinite circular cylinder. The governing heat conduction equation has been solved by using integral transform method. The results are obtained in series form in terms of Bessel functions. The results for displacement and stresses have been computed numerically and illustrated graphically.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제26권1호
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• pp.67-75
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• 2022

Analysis of non-integer order thermoelastic temperature distribution and it's thermal deflection of thin hollow circular disk under the axi-symmetric heat supply is investigated. Initially, the disk is kept at zero temperature. For t > 0 the parametric surfaces are thermally insulated and axi-symmetric heat supply on the thickness of the disk. The governing heat conduction equation has been solved by integral transform technique, including Mittag-Leffler function. The results have been computed numerically and illustrated graphically with the help of PTC-Mathcad.

• Structural Engineering and Mechanics
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• 제80권6호
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• pp.669-675
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• 2021

A GN model with and without energy dissipations is used to discuss the waves propagation in a two-dimension orthotropic half space by the eigenvalues approach. Using the Laplace-Fourier integral transforms to get the solutions of the problem analytically, the basic formulations of the two-dimension problem are given by matrices-vectors differential forms, which are then solved by the eigenvalues scheme. Numerical techniques are used for the inversion processes of the Laplace-Fourier transform. The results for physical quantities are represented graphically. The numerical outcomes show that the characteristic time of pulse heat flux have great impacts on the studied fields values.

• 호남수학학술지
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• 제46권2호
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• pp.313-334
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• 2024

In the current study, our aim is to define new generalized extended beta and hypergeometric types of functions. Next, we methodically determine several integral representations, Mellin transforms, summation formulas, and recurrence relations. Moreover, we provide log-convexity, Turán type inequality for the generalized extended beta function and differentiation formulas, transformation formulas, differential and difference relations for the generalized extended hypergeometric type functions. Also, we additionally suggest a generating function. Further, we provide the generalized extended beta distribution by making use of the generalized extended beta function as an application to statistics and obtaining variance, coefficient of variation, moment generating function, characteristic function, cumulative distribution function, and cumulative distribution function's complement.

• 한국전자파학회논문지
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• 제16권5호
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• pp.465-471
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• 2005

본 논문에서는 빔 전파법(BPM: Beam Propagation Method)을 이용하여 안테나 배열에서 발생된 집속된 빔의 전파 또는 집속 현상을 파악하는 방법을 제시하였다. 대물 쪽(object side)으로 적응적 집속을 위해 로트맨 렌즈를 이용하는 경우에 대해 회절이론을 바탕으로 집속 현상을 이론적으로 고찰하였다. 이를 검증하기 위해 상용 EM simulation tool을 이용하여 분석하기에는 구조물의 복잡성과 집속된 빔의 입전 설정 등 몇 가지 어려움이 있기에 이의 차선책(alternative solution)으로 푸리에 회절 이론에 기초한 빔 전파법을 이용하여 집속 현상을 계산하는 방법인 BPM을 소개하였다. 즉, 개구면을 통한 빔 전파는 Fresnel Diffraction Integral(FDI)에서 푸리에 변환 형태로 표현될 수 있으며 이는 BPM으로 발전시켜 개구면 형(aperture-type) 안테나로부터 전파되는 파의 빔 폭(beam width or spot size), 세 기(intensity or gain), 그리고 실제 초점거리를 산출하였다. $10\lambda$의 배 열 크기를 갖는 안테나에 대해 $20\lambda,\;30\lambda$, 그리고 $50\lambda$의 기하 초점거리(geometrical fecal length)를 갖는 파에 대해 BPM을 통해 계산한 결과, 빔 폭은 차례로 1.1\lambda,\;1.3\lambda,\;1.9\lambda$이 산출되었다.

• International Journal of Computer Science & Network Security
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• 제22권8호
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• pp.269-274
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• 2022

Economy of Ukraine is characterized by the rapidly increased level of financial failures at a corporate level. Conditions of doing business in Ukraine become tighter year after year and it should motivate the business owners not only to watch more accurately the state in which their business is but also to introduce new, more precise, more tight systems of crisis management and economic security. The experience shows that in order to stay afloat and not to suffer losses companies should pay more attention to different areas of economic security, such as production potential, financial indicators, logistics, staff, etc. For this purpose companies should use a system of valuation of the most important for their activity indicators and transform their values in an integral one in order to use this assessment in making managerial decisions. Such a valuation is one of the components which the article presents. The article also reveals the key points which characterize crisis management as an integral part of enterprise development and economic security. There are specified the essence and problems of crisis management and proposed the ways of raising the level of economic security of a company based on the example of an industrial and commercial enterprise. The key focus of the enterprise's economic security management is defined as constructive responses to threats from the external environment and, as a result, ensuring stable functioning and effective realization of untapped potential in the future. The current assumption is to explain the scheme of strategic management of an industrial and commercial enterprise and to calculate the methodology of an express assessment of the level of enterprise economic security, taking into account the components of crisis management. To assess the level of economic security of the enterprise, it is proposed to use the method of point assessment, which is based on a multi-level system of indicators, which covers the main areas of the enterprise's activity.

• Computers and Concrete
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• 제25권6호
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• pp.551-563
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• 2020

This paper investigates the artificial neural network (ANN) to predict the dimensionless parameters for the maximum contact pressures and contact areas of a contact problem. Firstly, the problem is formulated and solved theoretically by using Theory of Elasticity and Integral Transform Technique. Secondly, the contact problem has been extended based on the ANN. The multilayer perceptron (MLP) with three-layer was used to calculate the contact distances. External load, distance between the two quarter planes, layer heights and material properties were created by giving examples of different values were used at the training and test stages of ANN. Program code was rewritten in C++. Different types of network structures were used in the training process. The accuracy of the trained neural networks for the case was tested using 173 new data which were generated via theoretical solutions so as to determine the best network model. As a result, minimum deviation value (difference between theoretical and C++ ANN results) of was obtained for the network model. Theoretical results were compared with artificial neural network results and well agreements between them were achieved.

• 전력전자학회:학술대회논문집
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• 전력전자학회 2001년도 Proceedings ICPE 01 2001 International Conference on Power Electronics
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• pp.174-178
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• 2001

An improved stationary frame-based digital current control technique for a permanent magnet (PM) synchronous motor is presented. Generally, the stationary frame current controller is known to provide the advantage of a simple implementation. However, there are some unavoidable limitations such as a steady-state error and a phase delay in the steady-state. On the other hand, in the synchronous frame current regulator, the regulated currents are dc quantities and a zero steady-state error can be obtained through the integral control. However, the need to transform the signals between the stationary and synchronous frames makes the implementation of a synchronous frame regulator complex. Although the PI controller in the stationary frame gives a steady-state error and a phase delay, the control performance can be greatly improved by employing the exact decoupling control inputs for the back EMF, resulting in an ideal steady-state control characteristics irrespective of an operating condition as in the synchronous PI decoupling controller. However, its steady-state response may be degraded due to the inexact cancellation inputs under the parameter variations. To improve the control performance in the stationary frame, the disturbance is estimated using the time delay control. The proposed scheme is implemented on a PM synchronous motor using DSP TMS320C31 and the effectiveness is verified through the comparative simulations and experiments.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제5권2호
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• pp.123-132
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• 1998

Let F and G denote the distribution functions of the failure times and the censoring variables in a random censorship model. Susarla and Van Ryzin(1978) verified consistency of $F_{\alpha}$, he NPBE of F with respect to the Dirichlet process prior D($\alpha$), in which they assumed F and G are continuous. Assuming that A, the cumulative hazard function, is distributed according to a beta process with parameters c, $\alpha$, Hjort(1990) obtained the Bayes estimator $A_{c,\alpha}$ of A under a squared error loss function. By the theory of product-integral developed by Gill and Johansen(1990), the Bayes estimator $F_{c,\alpha}$ is recovered from $A_{c,\alpha}$. Continuity assumption on F and G is removed in our proof of the consistency of $A_{c,\alpha}$ and $F_{c,\alpha}$. Our result extends Susarla and Van Ryzin(1978) since a particular transform of a beta process is a Dirichlet process and the class of beta processes forms a much larger class than the class of Dirichlet processes.

• 한국전자파학회논문지
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• 제12권6호
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• pp.931-939
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• 2001

DBS(Direct Broadcast Satellite) 수신용 radial-line slot antenna(RLSA)의 설계를 위한 슬롯을 통한 결합 특성을 해석하였다. RLSA에서 이미 제안된, narrow wall이 주기 경계 조건(periodic boundary condition)을 만족시키고 wide wall에 슬롯이 주기적으로 배열되어 있는 구형 도파관 모델을 이용하였다. 자장 적분 방정식과 필요한 그린 함수를 유도하여 모멘트 법으로 풀었다. 이때 수치 해석의 효율을 극대화하고 그린 함수에 의한 특이점 문제를 해결하기 위해 entire domain 기저 함수와 sub-domain 기저 함수를 모두 사용하였다. 한편 그린 함수를 빠르게 계산하기 위한 가속화 방법으로 구형 도파관 영역은 Ewald합 기법을, 반공간 영역은 Shanks 변환을 이용하였다. 시뮬레이션 결과로부터 RLSA의 설계에 이용되는 다양한 변수들이 결합에 미치는 영향을 예측할 수 있었다.