• 한국수학교육학회지시리즈A:수학교육
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• 제52권1호
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• pp.83-95
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• 2013

The purpose of this paper is to explain and reinterprets Apollonius' Symptoms on conic sections based on the current secondary curriculum of mathematics, present the historical background of Apollonius' Symptoms to teachers and students and introduce visualization proof of Apollonius' symptoms on a parabola, a hyperbola and an ellipse by a new method using dynamic geometry software(GSP) respectively.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2013년도 춘계학술대회 논문집
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• pp.457-458
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• 2013

• 한국인터넷방송통신학회논문지
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• 제15권3호
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• pp.15-24
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• 2015

Jacket 행렬은 1984년 이문호 교수에 의해 소개되어 신호처리 및 코딩이론에 사용되는 $J^{\dagger}=[J_{ik}^{-1}]^T$인 행렬로서, Galois field F에서 $J^{\dagger}$가 J의 원소별 역행렬일 때 $JJ^{\dagger}=mI_m$의 특성을 갖는 $J=[J_{ik}]$인 $m{\times}m$ 정방행렬이다. 본 논문에서는 Jacket 행렬에 의해 고유 값으로 분해될 수 있는 정방행렬 $A_{2^n}$을 제안하였다. 특히 $A_2$와 그의 확장인 $A_3$ 행렬을 가지고 쌍곡선과 쌍곡면의 성질을 수정하는데 각각 적용할 수 있음을 보였다. 특히 쌍곡선이 n배의 정보량을 갖게 되면 $A_2$ 행렬의 EVD[7]를 이용하여 최종 행렬 $A_2^n$을 쉽게 계산할 수 있다. 또한 여기서 제안한 알고리즘을 가지고 컴퓨터 그래픽에서의 응용 프로그램과 수치해석에서도 이용될 수 있음을 보였다.

• 생물환경조절학회지
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• 제27권2호
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• pp.132-139
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• 2018

작물의 생산량은 광합성과 밀접한 관계가 있으며, 광합성 속도는 다양한 환경 요인에 의해 변화한다. 광합성 속도는 작물의 생육 상태나 생육 속도를 판단하는 지표로 사용되며, 작물 재배 시설을 구축하는 데 고려해야 하는 중요한 요인이다. 이 연구의 목적은 광도, $CO_2$ 농도 및 생육 단계에 의해 변화하는 로메인 상추의 군락 광합성 속도 모델을 개발하는 것이다. 군락 광합성 속도는 정식 후 5, 10, 15, 20 일차에서 5단계의 $CO_2$ 농도($600-2,200{\mu}mol{\cdot}mol^{-1}$)와 5단계의 광조건($60-340{\mu}mol{\cdot}m^{-2}{\cdot}s^{-1}$)이 처리된 3개의 밀폐 아크릴 챔버($1.0{\times}0.8{\times}0.5m$) 내에서 측정하였다. 먼저 세 가지 환경 요인을 사용하는 식들을 곱하여 만든 단순곱 모델을 구성하였다. 이와 동시에 생육 시기에 따라 변화하는 광화학 이용효율과 카르복실화 컨덕턴스, 호흡에 의한 이산화탄소 발생 속도를 포함하는 수정 직각쌍곡선 모델을 구성하여 단순곱 모델과 비교하였다. 검증 결과, 단순곱 모델의 $R^2$는 0.923이었으며, 수정 직각쌍곡선 모델의 $R^2$는 0.941을 나타내었다. 따라서 수정 직각쌍곡선 모델이 광도, $CO_2$ 농도, 생육 단계의 3 변수에 따른 군락 광합성 속도를 표현하는 데 더욱 적합한 것으로 판단하였다. 본 연구에서 개발된 군락 광합성 모델은 식물공장에서 상추 재배를 위해 생육 단계별로 설정해야 할 최적의 광도와 $CO_2$ 농도를 결정하는 데 도움이 될 것으로 생각된다.

• 한국전산유체공학회지
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• 제16권2호
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• pp.1-10
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• 2011

A new computational program, which is based on the CIP/CCUP(Constraint Interpolation Profile/CIP Combined Unified Procedure) method, has been developed to numerically analyse sloshing phenomena dealt as multiphase-flow problems. For the convection terms of Navier-Stokes equations, the RCIP(Rational function CIP) method was adopted and the THINC-WLIC(Tangent of Hyperbola for Interface Capturing-Weighted Line Interface Calculation) method was used to capture the air/water interface. To validate the present numerical method, two-dimensional dam-breaking and sloshing problems in a rectangular tank were solved by the developed method in a stationary Cartesian grid system. In the case of sloshing problems, simulations by using a improved MPS(Moving Particle Simulation) method, which is named as PNU-MPS(Pusan National University-MPS), were also carried out. The computational results are compared with those of experiments and most of the comparisons are reasonably good.

• KSTLE International Journal
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• 제1권2호
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• pp.101-106
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• 2000

Variable displacement axial piston pumps are widely used for raising the energy level of the fluid in hydraulic systems. And the regulator is the device which regulates the discharge flow of the piston pump by controlling the swivel angle. The regulator receives the hydraulic pilot pressure and controls the pump output flow depending on the machine load and engine speed. This work deals with constant power control (horsepower control) in the design of a regulator by using a bent-axis type piston pump. In order to effectively use engine power, we must keep the horsepower from the engine to the pump constant. Therefore the regulator operates the constant power control. As a result, optimum power usage is obtained by accurately following the power hyperbola. This study focused on developing a simulation model of a regulator. First, the governing equations of the regulator are derived, and analysis is performed by computer simulation, which can identify significant parameters of regulator. As a result, the variation of the swivel angle, flow rate, hyperbolic curve, inner leakage and responsibility are simulated, and significant parameters of a regulator are identified.

• ETRI Journal
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• 제39권2호
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• pp.264-274
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• 2017

Recently, mobile positioning enhancement has attracted much attention in the 3rd generation partnership project long-term evolution system. In particular, for urban canyon environments, the need for three-dimensional (3D) positioning has increased to enable the altitude of users to be measured. For several decades, several time difference of arrival (TDOA-) based 3D positioning methods have been studied; however, they are only available when at least four evolved Node Bs (eNBs) exist nearby or when all eNBs have the same height. Therefore, in this paper, we propose a new 3D positioning method that estimates the 3D coordinates of a user using three types of two-dimensional (2D) TDOAs. However, the give inaccurate results owing to the undefined axis of the 2D coordinate plane. Therefore, we propose a novel derivation of the hyperbola equation, which includes the undefined axis coordinate in the 2D hyperbola equation. Then, we propose an interaction algorithm that mutually supplies the undefined axis coordinate of users among 2D TDOAs. By performing extensive simulations, we verify that the proposed method is the only solution applicable by using three eNBs with different heights.

• 한국해양공학회지
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• 제27권2호
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• pp.39-46
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• 2013

In this study, the impact loads on tank walls by sloshing phenomena and on a tall structure in a three-dimensional rectangular tank were predicted using multiphase flow simulations. The solver was based on the CIP/CCUP (Constraint interpolation CIP/CIP combined unified procedure) method, and the THINC-WLIC (Tangent hyperbola for interface capturing-weighted line interface calculation) scheme was used to capture the air-water interface. For the convection terms of the Navier-Stokes equations, the USCIP (Unsplit semi-lagrangian CIP) method was adopted. The results of simulations were compared with those of experiments. Overall, the comparisons were reasonably good.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제37권3호
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• pp.483-495
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• 2023

17세기 수학자 van Schooten(1657)은 저서 'Exercitationum mathematicarum'에서 포물선, 타원, 쌍곡선을 그리기 위한 연동장치를 제시하였다. van Schooten이 제시한 연동장치는 활동 중심 수학교육과 학교수학에서 수학사를 활용하기 위한 소재로 사용될 수 있다. 특히 학생들이 고등학교 교육과정에서 이차곡선을 조작하며 학습할 기회를 제공받지 못하고 있다는 점에서, van Schooten의 연동장치는 활동과 탐구 중심의 수학교육을 실현하는 데 도움을 줄 수 있다. 이를 위해 van Schooten의 연동장치를 동적 기하 환경에서 구현하는 방법을 제시하고, van Schooten의 연동장치를 이용하여 그린 도형의 자취가 포물선, 타원, 쌍곡선임을 증명하였다.

• 한국농공학회논문집
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• 제66권1호
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• pp.15-24
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• 2024

Unlike artificially created homogeneous materials, the process of calculating the elastic modulus of natural soil involves the possibility of errors. Because the stress-strain behavior of soil is nonlinear, the secant modulus of elasticity is often used based on 1/2 of the stress at failure. Since soil has the property of changing its elastic modulus depending on the confining pressure, numerical analysis models that analyze its behavior inevitably include complex elements. The hyperbolic model, which relatively accurately simulates the behavior immediately after loading in soft ground, assumes that the stress-strain curve of the consolidated undrained triaxial test is hyperbolic and requires the slope of the tangent line at the starting point. However, the slope of the initial tangent in the stress-strain curve obtained from an actual triaxial test is difficult to have regularity according to changes in confining pressure. Additionally, due to the characteristics of a hyperbola, even small changes in related factors cause large changes in the hyperbola. Therefore, there is a lot of randomness in the process of calculating model parameters from the triaxial test results, which causes large differences in the results. Therefore, the method of calculating the initial elastic modulus by the consolidation test presented in this study is also used to verify the method by the triaxial test. It can be applied. However, since this study was applied to only one sample showing typical consolidation characteristics, it is necessary to check samples with various physical properties in the future.