• 대한한의학원전학회지
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• 제25권1호
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• pp.17-29
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• 2012

Indications of Hyeongbangpaedok-san for Soyang-type on "Donguisusebowon" are small. Therefore, indications of Hyeongbangpaedok-san for Soyang-type need to be extended for broader clinical use. There would be some methods to do that, and we could review "Dongeuibogam" that Four-Constitution Medicine formulas are based on. We reviewed Hyeongbangpaedok-san, Insampaedok-san which is the origin of Hyeongbangpaedok-san, and their modified formula(加減方) on "Dongeuibogam". As a result, we supposed 12 indications of non-classical formula(後世方) Hyeongbangpaedok-san, 2 indications of modified formula of non-classical formula Hyeongbangpaedok-san, and 12 indications of Insampaedok-san and its modified formula as possible indications of Hyeongbangpaedok for Soyang-type.

• 대한수학회논문집
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• 제21권1호
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• pp.117-133
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• 2006

Cameron and Storvick discovered change of scale formulas for Wiener integrals of bounded functions in a Banach algebra S of analytic Feynman integrable functions on classical Wiener space. Yoo and Skoug extended these results to abstract Wiener space for a generalized Fresnel class $F_{A1,A2}$ containing the Fresnel class F(B) which corresponds to the Banach algebra S on classical Wiener space. In this paper, we present a change of scale formula for Wiener integrals of various functions on $B^2$ which need not be bounded or continuous.

• 충청수학회지
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• 제27권2호
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• pp.249-260
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• 2014

Cameron and Storvick discovered a change of scale formula for Wiener integral of functionals in a Banach algebra $\mathcal{S}$ on classical Wiener space. We express the analytic Feynman integral of cylinder function as a limit of Wiener integrals. Moreover we obtain the same change of scale formula as Cameron and Storvick's result for Wiener integral of cylinder function. Our result cover a restricted version of the change of scale formula by Kim.

• 충청수학회지
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• 제25권2호
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• pp.299-312
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• 2012

In 1970s, B. C. Berndt proved a transformation formula for a large class of functions that includes the classical Dedekind eta function. From this formula, he evaluated several classes of infinite series and found a lot of interesting infinite series identities. In this paper, using his formula, we find new infinite series identities.

• 대한수학회보
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• 제33권2호
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• pp.289-294
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• 1996

The double Gamma function had been defined and studied by Barnes [4], [5], [6] and others in about 1900, not appearing in the tables of the most well-known special functions, cited in the exercise by Whittaker and Waston [25, pp. 264]. Recently this function has been revived according to the study of determinants of Laplacians [8], [11], [15], [16], [19], [20], [22] and [24]. Shintani [21] also uses this function to prove the classical Kronecker limit formula. Its p-adic analytic extension appeared in a formula of Casson Nogues [7] for the p-adic L-functions at the point 0.

• 충청수학회지
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• 제26권1호
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• pp.111-123
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• 2013

Cameron and Storvick discovered change of scale formulas for Wiener integrals on classical Wiener space. Yoo and Skoug extended this result to an abstract Wiener space. In this paper, we investigate a change of scale formula for generalized Wiener integrals of various functions using the generalized Fourier-Feynman transform.

• Journal of applied mathematics & informatics
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• 제34권3_4호
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• pp.207-220
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• 2016

Our goal is to construct a two-frequency-dependent formula $I_N$ which interpolates a product f of two functions with different frequencies at some N points. In the beginning, it is not clear to us that the formula $I_N$ satisfies $I_N=f$ at the points. However, it is later shown that $I_N$ satisfies the above equation. For this theoretical development, a one-frequency-dependent formula is introduced, and some of its characteristics are explained. Finally, our newly constructed formula $I_N$ is compared to the classical Lagrange interpolating polynomial and the one-frequency-dependent formula in order to show the advantage that is obtained by generating the formula depending on two frequencies.

• 한국지반환경공학회 논문집
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• 제5권3호
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• pp.17-30
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• 2004

본 연구에서는 현장타설말뚝의 지지력에 관한 기존 및 IGM 이론의 적용성을 비교 평가하고, 변위를 고려한 지지력의 결정을 위해 IGM 상단부에서의 기준침하량 결정식을 제안하였다. 제안식은 말뚝의 두부침하량, IGM 상부 토층의 하중전이특성 및 말뚝의 탄성압축 이론에 기초하였다. 특히, 기존 및 IGM 이론의 적용성과 제안식의 적용성을 검증하기 위해 국내외 재하시험 결과를 이용한 분석이 실시되었다. 재하시험 결과를 이용하여 분석한 결과 제안식이 활용된 IGM 이론에 의해 향후 말뚝 설계시 변위를 고려한 지지력의 해석이 가능할 것으로 판단되었다. 특히, 제안식에 도입된 침하보정계수 $k_m$은 지반상태나 하중전이 특성을 반영하는 계수로서 하중 및 변형 증가에 따라 변화하는 특징을 보였다.

• 대한수학회논문집
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• 제26권4호
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• pp.695-708
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• 2011

Based on the multiple-time-scale (MTS) method, a general formula has been presented for solving an n-th, n = 2, 3, ${\ldots}$, order ordinary differential equation with strong linear damping forces. Like the solution of the unified Krylov-Bogoliubov-Mitropolskii (KBM) method or the general Struble's method, the new solution covers the un-damped, under-damped and over-damped cases. The solutions are identical to those obtained by the unified KBM method and the general Struble's method. The technique is a new form of the classical MTS method. The formulation as well as the determination of the solution from the derived formula is very simple. The method is illustrated by several examples. The general MTS solution reduces to its classical form when the real parts of eigen-values of the unperturbed equation vanish.

• 대한한의학원전학회지
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• 제26권3호
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• pp.99-109
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• 2013

Objective : The purpose of this study is to extend indications of Four-Constitution Medicinal formulas by comparing with formulas on Dongeuibogam(東醫寶鑑), focusing on their composition. Method : 1. We analyzed the composition of Sanghan formulas(傷寒方) and non-classical formulas(後世方) which are mentioned on Donguisusebowon(東醫壽世保元), focusing on their composition. 2. We analyzed the composition of formulas on Dongeuibogam(東醫寶鑑) comparing with Bojungyikgi-tang for So-Eum type. Result & Conclusion: 1. Je-Ma Lee didn't say the Sanghan formulas(傷寒方) and non-classical formulas(後世方) with criterion of composition on his book. 2. We finally selected one formulas(Insamhwanggi-tang) and its effect as similar formulas with Bojungyikgi-tang for So-Eum type.