• 대한수학회지
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• 제46권6호
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• pp.1267-1276
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• 2009

This paper presents a method for approximation of the standard normal distribution by using hyperbolic tangent based functions. The presented approximate formula for the cumulative distribution depends on one numerical coefficient only, and its accuracy is admissible. Furthermore, in some particular cases, closed forms of inverse formulas are derived. Numerical results of the present method are compared with those of an existing method.

• 한국통신학회논문지
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• 제21권12호
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• pp.3227-3234
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• 1996

This paper proposes a new absorbing boundary condition(ABC) for the FDTD simulation of waveguide problems. It is based on the exact analytic expression for the time domain EM wave propatation in the waveguide. The ABC derived from the expression has a convolution form whose kernel (the discrete Green's function) has a simple, closed form formula. Also, it is applicable to the wide variety of waveguide types with conducting boundaries and complex cross-sectional shapes.

• 대한수학회보
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• 제54권3호
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• pp.789-797
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• 2017

The main purpose of this paper is to present closed integral form expressions for the Mathieu-type a-series and its associated alternating version whose terms contain a (p, q)-extended Gauss' hypergeometric function. Certain upper bounds for the two series are also given.

• Journal of Pharmaceutical Investigation
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• 제3권3호
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• pp.16-19
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• 1973

Stability is impaired in capsules in which there is a transfer of water vapor from capsule to the contents of the capsules. The water vapor transfer between AEA-coated capsules and corn starch, magnesium trisilicate in the closed container was examined. Experimental eguilibrium relative humidity after water vapor transfer and estimated values calculated from a formula of these substances were in close agreement with each other.

• 화약ㆍ발파
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• 제10권1호
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• pp.3-7
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• 1992

In the pilling works in the city, it is tend to transfered to the non-vibration pilling works. This drop-hammer pilling executed with in 2 meters distance to neighbour building structure. in the rainy season. According to imperical formula which tested in similar site, Vibration damaged area is within 14 meters radius from drop-hammer pilling site. The loratories Data of Dae Woo of Korea hausing Authority are refered to above poject.

• East Asian mathematical journal
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• 제37권5호
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• pp.567-576
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• 2021

In this paper, we deal with the pricing of vulnerable power exchange option. We consider the hybrid model as the credit risk model. The hybrid model consists of a combination of the reduced-form model and the structural model. We derive the closed-form pricing formula of vulnerable power exchange option based on the change of measure technique.

• Korean Journal of Mathematics
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• 제29권4호
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• pp.741-747
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• 2021

The Cayley-Bacharach theorem says that every cubic curve on an algebraically closed field that passes through a given 8 points must contain a fixed ninth point, counting multiplicities. Ren et al. introduced a concrete formula for the ninth point in terms of the 8 points [4]. We would like to consider a different approach to find the ninth point via the theory of truncated moment problems. Various connections between algebraic geometry and truncated moment problems have been discussed recently; thus, the main result of this note aims to observe an interplay between linear algebra, operator theory, and real algebraic geometry.

• 대한수학회보
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• 제32권2호
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• pp.191-200
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• 1995

Simple Lie albegras over algebraically closed field with characteristic p > 7 were classified by H. Strade and R. L. Wilson in 1991 [7]. All modular representations of simple Lie algebras, however, are not classified although some restricted modular representations have been done earlier by Curtis and Steinberg. In connection with this, we would like to decompose basic $sp_4$(F)-modules $sl_4$-(F) and $gl_4$(F) over nonzero characteristic by way of characteristic zero case.

• 한국산학기술학회논문지
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• 제19권1호
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• pp.714-721
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• 2018

본 논문은 강교량 거더, 교각, 선박이나 대형 저장 시설 등 주요 구조 부재에 활용되는 곡판 및 강관을 효과적으로 보강하는 방안에 관한 것이다. 최근 연구에서 압축을 받는 평판이 종방향 보강재의 단면회전강성에 의해 국부좌굴강도가 향상되는 특징을 정량적으로 분석하였고, 폐단면리브 단면회전강성과의 상관관계를 규명한 바 있다. 본 논문에서는 곡판에 대해 이와 같은 효과를 정량적으로 검토하고자 한다. 일축압축이 재하된 경우에 폐단면리브로 보강된 두께방향으로 곡률을 가지는 곡판의 좌굴거동을 살펴보기 위해 범용 구조해석 프로그램인 ABAQUS를 이용하여 3차원 유한요소해석 모델을 생성하였다. 이를 통해 좌굴거동에 대한 수치해석을 수행하였으며, 영향인자에 대한 변수해석적 연구를 수행하여 좌굴응력과 좌굴모드의 변동특성을 정량적으로 평가하였다. 폐단면리브 단면회전강성의 구속효과로 인한 좌굴강도 증가효과와 판의 곡률에 따른 좌굴강도 계수를 고려하여 좌굴강도를 추정하는 방법론을 이론적으로 제안하였다. 제안된 공식은 유한요소해석 결과와 비교하여 서로 유의미성이 검토되었다. 또한 평판에서와 마찬가지로 일축압축 상태에서 폐단면리브의 단면강성에의해 부여되는 양측단 회전강성의 증가로 인해 곡판의 국부좌굴강도가 이에 비례하여 증가하였고, 양측단에서 회전이 고정된 곡판의 좌굴강도에 수렴하는 경향을 확인하였다.

• 설비공학논문집
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• 제8권1호
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• pp.1-12
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• 1996

In lots of application to heat exchanger systems, closed two-phase thermosyphons are tilted from a horizontal. If the tilt angle, especially, is less than 30$^{\circ}$, the operational performances of thermosyphon are highly dependent on tilt angle. The present study was conducted to better understand such operational behaviors as mech-anni는 of phase change, and flow patterns inside a tilted thermosyphon. For experiment, an ethanol thermosyphon with a 35% of fill charge rate was designed and manufactured, using a copper tube with a diameter 19mm and a length 1500mm. Through a series of test, the tilt angle was kept constant at each of 4 different values in the range 10~25deg. and the heat supply to the evaporator was stepwisely increased up to 30㎾/$m^2$. When a steady state was established to the thermosyphon for each step of thermal loads, the wall temperature distribution and vapor temperature at the condenser were measured. The wall temperature distributions demonstrated a formation of dry patch in the top end zone of the evaporator, with a values of temperature 20~4$0^{\circ}C$ higher than the wetted surface for a moderate heat flux q≒20㎾/$m^2$. Inspite of the presence of hot dry patch, however, the mean values of boiling heat transfer coefficient at the evaporator wall were still in a good agreement with those predicted by Rohsenow's formula, which was based on nucleate boiling. For the condenser, the wall temperatures were practically uniform, and the measured values of condensation heat transfer coefficient were 1.7 times higher than the predicted values obtained from Nusselt's film condensation theory on tilted plate. Using those two expressions, a correlation was formulated as a function of heat flux and tilt angle, to determine the total thermal resistance of a tilted thermosyphon. The correlation formula showed a good agreement with the experimental data within 20%.