• 대한기계학회논문집A
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• 제32권1호
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• pp.43-53
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• 2008

Surface edge crack in transversely isotropic piezoelectric material is analyzed. The concentrated antiplane mechanical and inplane electrical loadings are applied to an arbitrary point of the surface, where the impermeable crack boundary condition is imposed. Using Mellin transform the problem is formulated, from which Wiener-Hopf equations are derived. By solving the equations the solution is obtained in a closed form. Mechanical and electric intensity factors and energy release rate are obtained and discussed. This problem could be used as a Green's function to generate the solutions of other problems with the same geometry but of different loading conditions.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2000년도 ITC-CSCC -1
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• pp.15-18
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• 2000

In this study, we improve the performance of a speech recognition system of visual information depending on lip movements. This paper focuses on the robustness of the word recognition system with the rotation, transition and scaling of the lip images. The different methods of lipreading have been used to estimate the stability of recognition performance. Especially, we work out the special system of the log-polar mapping, which is called Mellin transform with quasi RTS-invariant and related approaches to machine vision. The results of word recognition are reported with HMM (Hidden Markov Model) recognition system.

• 대한수학회논문집
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• 제30권4호
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• pp.403-414
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• 2015

Extensions of some classical special functions, for example, Beta function B(x, y) and generalized hypergeometric functions $_pF_q$ have been actively investigated and found diverse applications. In recent years, several extensions for B(x, y) and $_pF_q$ have been established by many authors in various ways. Here, we aim to generalize Appell's hypergeometric functions of two variables and Lauricella's hypergeometric function of three variables by using the extended generalized beta type function $B_p^{({\alpha},{\beta};m)}$ (x, y). Then some properties of the extended generalized Appell's hypergeometric functions and Lauricella's hypergeometric functions are investigated.

• Journal of applied mathematics & informatics
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• 제41권1호
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• pp.33-50
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• 2023

Foreign exchange options are derivative financial instruments that can exchange one currency for another at a prescribed exchange rate on a specified date. In this study, we examine the analytic formulas for vulnerable foreign exchange options based on multi-scale stochastic volatility driven by two diffusion processes: a fast mean-reverting process and a slow mean-reverting process. In particular, we take advantage of the asymptotic analysis and the technique of the Mellin transform on the partial differential equation (PDE) with respect to the option price, to derive approximated prices that are combined with a leading order price and two correction term prices. To verify the price accuracy of the approximated solutions, we utilize the Monte Carlo method. Furthermore, in the numerical experiments, we investigate the behaviors of the vulnerable foreign exchange options prices in terms of model parameters and the sensitivities of the stochastic volatility factors to the option price.

• 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.

• 전자공학회논문지
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• 제49권10호
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• pp.91-101
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• 2012

개인 유전정보 또는 대용량 DNA 저장 정보의 보호와 GMO(Genetically Modified Organism) 저작권 보호를 위하여 DNA 서열 워터마킹 연구가 필요하다. 기존 멀티미디어 데이터 워터마킹에서는 강인성 및 비가시성에 대한 성능이 우수한 DCT, DWT, FMT(Fourer-Mellin transform) 등 주파수 기반으로 설계되어졌다. 그러나 부호 영역 서열의 주파수 기반 워터마킹은 아미노산 보존성을 유지하면서 변환 및 역변환을 수행하여야 하므로, 워터마크 삽입에 대한 상당한 제약을 가진다. 따라서 본 논문에서는 변이 강인성, 아미노산 보존성 및 보안성을 가지는 부호 영역 서열의 Lifting 기반 DWT 변환 계수를 이용한 워터마킹을 제안하며, 주파수 기반 DNA 서열 워터마킹에 대한 가능성을 제기한다. 실험 결과로부터 제안한 방법이 10%의 포인트 변이와 5%의 삽입 및 삭제 변이에 대한 강인성을 가지며, 아미노산 보존성 및 보안성을 가짐을 확인하였다.