• Journal of the Korean Physical Society
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• 제73권12호
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• pp.1808-1813
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• 2018

I develop a transfer matrix algorithm for computing the geometric quantities of a square lattice polymer with nearest-neighbor interactions. The radius of gyration, the end-to-end distance, and the monomer-to-end distance were computed as functions of the temperature. The computation time scales as ${\lesssim}1.8^N$ with a chain length N, in contrast to the explicit enumeration where the scaling is ${\sim}2.7^N$. Various techniques for reducing memory requirements are implemented.

• 한국전자파학회논문지
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• 제15권5호
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• pp.499-508
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• 2004

마이크로스트립 구조체를 해석하는데 있어, 행렬 요소를 해석적으로 계산할 수 있는 효율적인 모멘트법이 제안된다. 본 논문의 모멘트법에서는 공간영역 그린함수로 Bessel 함수의 반 무한구간 정적분에 관한 공식에 근거하여 유도된 새로운 형태의 closed-form 그린함수를 사용한다. 본 논문의 모멘트법을 사용할 경우 기존의 모멘트법의 사용에 비해, 계산량 및 계산 속도와 같은 수치계산 효율 측면에서 약 4배 정도로 개선됨을 알 수 있었다. 본 논문이 제안하는 방법의 타당성을 확인하기 위하여 몇 가지 수치해석 결과를 제시한다.

• 호남수학학술지
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• 제42권2호
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• pp.269-291
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• 2020

In this paper, we get acquainted to a new generalization of the modified Hermite matrix polynomials. An explicit representation and expansion of the Matrix exponential in a series of these matrix polynomials is obtained. Some important properties of Modified Hermite Matrix polynomials such as generating functions, recurrence relations which allow us a mathematical operations. Also we drive expansion formulae and some operational representations.

• 대한기계학회논문집A
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• 제21권2호
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• pp.288-296
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• 1997

Curved beam elements with two nodes based on shallow beam geometry and strain interpolations are employed in eigenvalue analysis. In these elements, the displacement interpolation functions and mass matrices are consistent with strain fields. To assess the quality of the element mass matrix in free vibration problems, several numerical experiments are performed. In these analysis, both the inconsistent mass matrices using linear displacement interpolation function and the consistent mass matrices are used to show the difference. The numerical results demonstrate that the accuracy is closely related to the property of the mass matrix as well as that of the stiffness matrix and that the mass matrix consistent with strain fields is very beneficial to eigenvalue analysis. Also, it is proved that the strain based elements are very efficient in a wide range of element aspect ratios and curvature properties.

• 통합자연과학논문집
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• 제7권2호
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• pp.138-144
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• 2014

Fisher information matrix plays an important role in statistical inference of unknown parameters. Especially, it is used in objective Bayesian inference where we calculate the posterior distribution using a noninformative prior distribution, and also in an example of metric functions in geometry. To estimate parameters in a distribution, we can use the Fisher information matrix. The more the number of parameters increases, the more its matrix form gets complicated. In this paper, by using Mathematica programs we derive the Fisher information matrix for 4-parameter generalized gamma distribution which is used in reliability theory.

• Kyungpook Mathematical Journal
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• 제9권1_2호
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• pp.67-69
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• 1969

• 호남수학학술지
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• 제19권1호
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• pp.145-155
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• 1997

• 호남수학학술지
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• 제37권4호
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• pp.569-575
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• 2015

In this paper, we research some properties of quaternionic regular functions in Clifford analysis. We investigate the corresponding Cauchy-Riemann system and find regularities of some hypercomplex valued functions.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2000년도 추계종합학술대회 논문집(2)
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• pp.337-340
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• 2000

In this paper, we put forth a procedure that target low power logic synthesis based on XOR representation of Boolean functions, and the results of synthesis procedure are a multi-level XOR form with minimum switching activity. Specialty, this paper show a method to extract the common cubes or kernels by Boolean matrix and rectangle covering, and to estimate the power consumption in terms of the extracted common sub-functions.

• 대한수학회논문집
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• 제32권4호
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• pp.999-1008
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• 2017

By mainly using certain properties arising from the semisimple Lie group SO(2, 1), we aim to show how a family of some interesting formulas for bilateral series and integrals involving Whittaker, Bessel functions, and their product can be obtained.