• ETRI Journal
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• 제21권3호
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• pp.41-48
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• 1999

We have calculated differential reflection coefficient for isolated well structure of micro-scale, etched on dielectric surface. The differential reflection coefficient is computed using Green's second integral theorem. The purpose of our computation is to find a class of well profiles which give maximal diffusive scattering. To have such a maximal effect, we have concluded that the waist radius of Gaussian beam and its wavelength should be comparable to the well width and that well depth has to be larger than a wavelength. Exact calculation of differential reflection coefficients of dielectric surface with isolated structure on it may be used for the examination of dielectric surfaces and also in making simple but efficient diffuser.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제29권1호
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• pp.131-155
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• 2015

본 연구의 목적은 고등학교 상위권 학생들이 미분계수 개념을 통합적으로 이해하고 있는지를 알아보는데 있다. 여기서 미분계수 개념의 통합적 이해란 미분계수의 발생맥락인 접선문제와 속도문제를 미분계수 개념과 연결하여 이해하고, 미분계수 개념, 미분계수의 대수적 기하적 표현, 미분계수를 다루는 응용 상황을 서로 유기적으로 연결하여 이해하는 것을 의미한다. 본 연구를 위하여 청주시에 소재한 S고등학교 2학년 상위권 학생 38명을 연구대상으로 선정하여 미분계수 개념의 통합적 이해 정도를 조사하였다. 통합적 이해의 관점에서 고등학교 수학II 교과서와 여러 책을 참고하여 검사지를 개발한 후 현장 교사들과 전문가의 검토를 받아 수정 보완하였다. 검사지는 총 11개의 문항으로 구성되었으며 문항 1과 2-(1)은 미분계수 개념과 대수 기하 표현의 연결을, 문항 2-(2)와 4는 미분계수 개념의 발생맥락과 미분계수 개념의 연결을, 문항3과 10은 미분계수의 대수 표현과 기하 표현의 연결을 볼 수 있도록 하였다. 문항 5~9는 미분계수의 응용상황들로 구성되었는데 문항 6은 미분계수 개념과 응용의 연결을, 문항 8은 미분계수의 응용과 대수 표현의 연결을, 문항 5와 7은 미분계수의 수학 외에서의 응용과 기하 표현의 연결을, 문항 9는 수학 내에서의 응용과 기하 표현의 연결을 볼 수 있도록 하였다. 연구 결과 미분계수의 개념과 대수 기하 표현의 연결이 잘 이루어진 학생들의 비율은 높게 나타났으나 그 외의 연결이 잘 이루어진 학생들의 비율은 거의 절반이거나 절반에 미치지 못하는 것으로 나타났다.

• 한국항해항만학회:학술대회논문집
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• 한국항해항만학회 2001년도 Proceeding of KIN-CIN Joint Symposium 2001 on Satellite Navigation/AIS, lntelligence , Computer Based Marine Simulation System and VDR
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• pp.81-87
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• 2001

In this article, we have done some analysis about the collision-avoidance specialty of “pressing complexion” and “pressing danger”in the meet process of two boats, and offered a mathematic model of differential coefficient countermeasure decision for collision-avoidance, which adapt to the right complexion. The basal idea is, in the right condition whatever do the coming boat do, and our boat will always adept dynamic, continuous and the best countermeasure. When both the controlling capabilities of two boats have advantage and inferior position, we can working-out with the qualitative differential coefficient countermeasure.

• 유체기계공업학회:학술대회논문집
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• 유체기계공업학회 2005년도 연구개발 발표회 논문집
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• pp.302-307
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• 2005

The discharge coefficient in segmental wedge having ninety degrees vertex angle for the five kinds of opening ratio with differential pressure taps located at both upstream and downstream of one diameter of pipe was measured main purpose of this work is placed on developing the proper form of an equation for the discharge coefficient of a segmental wedge used as a primary element of flow metering devices, and from thata six-term equation which can express the variability of opening ratios was developed. The same assumption and hypotheses were used and tested for all procedures as conventional differential producers; however, the range of the opening ratio over this work is more expanded than previous studies. The opening ratios of segmental wedge, namely 0.3, 0.4, 0.5, 0.6 and 0.7 were investigated the Reynolds number based on the spool inside diameter ranges from 12,000 to 380,000, the resulting equation for the discharge coefficient is relatively simple; it contains only one variable-opening ratio because the characteristic of discharge coefficient of segmental wedge has little connection with the Reynolds number as shown by previous studies.

• 한국유체기계학회 논문집
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• 제10권5호
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• pp.46-53
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• 2007

Stem friction coefficient and valve factor are very important parameters for the evaluation of valve performance. In this study, the characteristics of stem friction coefficient and valve factor are analyzed, and thor bounding value is determined. The hydraulic testing is performed for many flexible wedge gate valves in the plant and statistical method is applied to the determination of bounding value. According to the results of this study, stem friction coefficient does not change much with differential pressure, and the bounding value of closing stroke is higher than that of opening stroke. The valve factor of valves with high differential pressure is higher than that of valves with medium differential pressure. It means valve factor is more sensitive to the differential pressure than the stem friction coefficient. Valve factor of the closing stroke is higher than that of opening stroke due to piston effect.

• Kyungpook Mathematical Journal
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• 제60권2호
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• pp.297-305
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• 2020

We show that selfadjoint operator extensions of minimal second order difference operators have only discrete spectrum when the odd order coefficient is unbounded but grows or decays according to specific conditions. Selfadjoint operator extensions of minimal differential operator under similar growth and decay conditions on the coefficients have a absolutely continuous spectrum of multiplicity one.

• 대한수학회논문집
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• 제35권3호
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• pp.789-797
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• 2020

By considering a certain univalent function in the open unit disk 𝕌, that maps 𝕌 onto a strip domain, we introduce a new class of analytic and close-to-convex functions by means of a certain non-homogeneous Cauchy-Euler-type differential equation. We determine the coefficient bounds for functions in this new class. Relevant connections of some of the results obtained with those in earlier works are also provided.

• Journal of applied mathematics & informatics
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• 제28권5_6호
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• pp.1305-1314
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• 2010

In this paper, we deal with a class of one-dimensional reflected backward stochastic differential equations driven by a Brownian motion and the martingales of Teugels associated with an independent L$\acute{e}$vy process having a stochastic Lipschitz coefficient. We derive the existence and uniqueness of solutions for these equations via Snell envelope and the fixed point theorem.

• 한국유체기계학회 논문집
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• 제9권3호
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• pp.22-28
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• 2006

The discharge coefficient in segmental wedge haying ninety degrees yeller angle for the five kinds of opening ratio with differential pressure taps located at both upstream and downstream of one diameter of pipe was measured. Main purpose of this work is placed on specifying the characteristic of discharge coefficient of a segmental wedge used as a primary element of flow metering devices, and suggestion for the fixed location of pressure taps useful. Although the range of the opening ratio over this work is more expanded than previous studies. The opening ratios of segmental wedge, namely 0.3, 0.4, 0.5, 0.6 and 0.7 were investigated. The Reynolds number based on the spool inside diameter ranges from 12,000 to 380,000.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2002년도 학술대회지
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• pp.357-360
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• 2002

The effect of distance between ninety degree elbow close to upstream face of orifice plate and orifice plate on discharge coefficient was investigated. The distributions of discharge coefficient and differential pressure caused by elbow and short upstream straight length were examined and modified discharge coefficient was introduced. The results presented in this study could be useful when orifice plate is installed under the condition of simple flow disturbance element and short upstream straight length.