• 제목/요약/키워드: Mathematical concept

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On the Folding of the Rectangular Distribution

  • El-Shehawy, S.A.;Basher, M.
    • Kyungpook Mathematical Journal
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    • 제53권1호
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    • pp.105-116
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    • 2013
  • Based on the concept of the folding, the folding in X-direction and in Y-direction are defined and denoted by the X-Folding and the Y-Folding respectively. We consider a random variable X which follows a rectangular distribution "R(a, b) distribution" with two parameters a, b. This paper aims to apply the folding on the unit area P($a{\leq}X{\leq}b$) and also to study the proposed folding in each direction for R(a, b) distribution and the generated family of the corresponding constructed rectangular probability distributions. Some main properties of this family are reviewed. According to the proposed folding, we derive and discuss some important corresponding functions in closed forms.

공급사슬망 설계를 위한 수리모형 수립 및 응용 (Supply Chain Network Design - a Model and its Applications)

  • 김정혁;김대기
    • 경영과학
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    • 제21권2호
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    • pp.15-25
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    • 2004
  • Great effort has been exerted to redesign the supply chain network as a means to improve corporate competitiveness. In this study, we present a mathematical model and a solution system to help redesign corporate logistics networks. The objective of the model is to minimize total logistics costs. We applied the solution system to real problem cases. We use the model and the concept to develop decision support system that is based on C++ with the use of CPLEX callable library as a solution engine. We tested and verified the DSS for redesigning the network of a large Korean electronics company. Through various scenario analyses. we recommend to redesign their supply chain network that demonstrates the possibility of substantial logistics cost savings.

난류확산연소에서의 Conditional Moment Closure Modeling (Conditional Moment Closure Modeling in Turbulent Nonpremixed Combustion)

  • 허강열
    • 한국연소학회지
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    • 제5권2호
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    • pp.9-17
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    • 2000
  • A brief introduction is given on the conditional moment closure model for turbulent nonpremixed combustion. It is based on the transport equations derived through a rigorous mathematical procedure for the conditionally averaged quantities and appropriate modeling forms for conditional scalar dissipation rate, conditional mean velocity and reaction rate. Examples are given for prediction of NO and OR in bluffbody flames, soot distribution in jet flames and autoignition of a methane/ethane jet to predict the ignition delay with respect to initial temperature, pressure and fuel composition. Conditional averaging may also be a powerful modeling concept in other approaches involved in turbulent combustion problems in various different regimes.

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수학적 개념을 활용한 효율적인 타이밍 비주얼이펙트 유체효과 구현 (Efficient Timing Visual Effect Fluid Simulation using Mathematical Concept)

  • 황민식
    • 한국콘텐츠학회:학술대회논문집
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    • 한국콘텐츠학회 2016년도 춘계 종합학술대회 논문집
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    • pp.33-34
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    • 2016
  • 불이 타오르는 비주얼이펙트 효과는 관련 CG 소프트웨어의 발전에 따라 그 사실적 구현과 완성도는 괄목한 만한 성장을 이루었으나 단순히 툴에 의존하는 작업방식은 예술적인 측면은 결여된 획일적인 시각효과의 양산이라는 폐단을 불러왔다. 본 연구에서는 수학적인 접근방법을 통해 예술적인 결과물의 질적 향상을 도모할 수 있는 기술과 예술 상호 융합적인 효율적 작업공정 구축을 제안하는데 그 목적을 둔다. 본 연구는 수학적인 알고리즘을 바탕으로 시각화를 위한 비주얼이펙트 솔루션을 구축하기 위한 실험단계를 순차적으로 진행해 나감으로써 시뮬레이션중인 유체 화염효과가 물체와 충돌하는 정확한 타이밍에 불이 옮겨 붙는 비주얼이펙트를 구현하기 위한 방법론을 제시하며 숙련도가 낮은 작업자라 할지라도 쉽게 사용이 가능한 접근성이 용이한 기술을 제시한다.

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계량형 관리도와 관련된 불편화 상수의 비교 (Comparison of the Unbiasing Constants in Connection with Variable Control Charts)

  • 안해일
    • 산업경영시스템학회지
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    • 제37권4호
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    • pp.134-144
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    • 2014
  • With the advent of lean-six sigma era, an extensive use of analytic tools such as control charts is required in the field of manufacturing. In relation to statistical quality control (SQC) or process control (SPC), the Korean standards have undergone a meaningful change. In this study, the theoretic backgrounds for evaluating the control limits in connection with the variable control charts are examined in view of better understanding the related constants and coefficients. This paper is intended to help the quality control practitioners understand the mathematical backgrounds by comparing related quality control constants and also to encourage them to make use of and to take the advantage of the variable control charts which are very useful for implementing the concept of lean-six sigma in many industrial sites.

최소(最小) 저항(抵抗) 이론(理論)에 입각한 최적(最適) 선형(船型) 개발(開發)에 관한 연구(硏究) (A Study on the Optimum Hull Form Development based on the Minium Resistanec Theory)

  • 민계식;김근제
    • 대한조선학회지
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    • 제21권4호
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    • pp.21-28
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    • 1984
  • As a way of overcoming or improving the great depression in he world shipping and shipbuilding industries, a great effort has been made on the development of fuel-economic hull forms. Recently, the author(s) had presented part of the results of his study on this subject(full slow speed ships) in PRADS 83, and are presently carrying out the research program on the same subject for fine fast speed ships. This paper is the introduction and summary of the basic concept and mathematical treatment applied in this research.

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유동공진을 위한 가진기 설계 (Vibration Exciter Design for Flow Resonance)

  • 남윤수;최재혁
    • 산업기술연구
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    • 제20권B호
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    • pp.125-130
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    • 2000
  • Heat dissipation technology using flow resonant phenomenon is a kind of new concept in heat transfer area. A vibration exciter is needed to generate air turbulence which has the natural shedding frequency of heat system. A mechanical vibrating device for the air flow oscillation is introduced, which is driven by a moving coil actuator. An analytical dynamic model for this mechanical vibration exciter is presented and its validity is verified by the comparison with experimental data. Values of some unknown system parameters in the analytic model are estimated through the system identification approach. Based on this mathematical model, a high bandwidth vibration phase, it turns out the high modal resonant characteristics of vibrating plate are the major barrier against obtaining a high bandwidth vibration exciter.

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Design and Analysis of Dynamic Positioning System Using a Nonlinear Robust Observer

  • Kim, Myung-Hyun
    • International Journal of Ocean Engineering and Technology Speciallssue:Selected Papers
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    • 제5권1호
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    • pp.46-52
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    • 2002
  • A robust nonlinear observer, utilizing the sliding mode concept, is developed for the dynamic positioning of ships. The observer provides the estimates of linear velocities of the ship and bias from slowly varying environmental loads. It also filters out wave frequency motion to avoid wear of actuators and excessive fuel consumption. The main advantage of the proposed observer is in its robustness. Especially, the observer structure with a saturation function makes the proposed observer robust against neglected nonlinearties, disturbances and uncertainties. Since the mathematical model of DP ships is difficult to obtain and includes uncertainties and disturbances, it is very important for the observer to be robust. A nonlinear output feedback controller is derives based on the developed observer using the observer backstepping technique, and the global stability of the observer and control law is shown by Lyapunov stability theory.. A set of simulation was carried out to investigate the performance of the proposed observer for dynamic positioning of ships.

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The Numerical Modeling and Sliding Mode Control of A New Submersible Fish Cage

  • Lee, Hyunsu;Won, Sung Jae;Ahn, Kyoung Kwan
    • 드라이브 ㆍ 컨트롤
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    • 제14권3호
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    • pp.18-24
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    • 2017
  • The purpose of this paper is to develop a new submersible fish cage operated by a pneumatic system for offshore aquaculture. Although some researchers have investigated modeling and control of fish cages, such cages consist of variable ballast tanks that with closed cylinders and thus present a maintenance issue. In solving the issue the new submersible fish cage investigated consists of bottom-opening cylinders. Accordingly, we designed a mathematical model of the concept and applied Sliding Mode Control for nonlinear angle control. Some experiments conducted under assumed conditions indicate that the angle of the system converges to zero under all conditions and the control has the stability to balance the fish cage.

높은 승압비를 갖는 부스트-플라이백 컨버터의 개선된 모델링 방법 (Improved Modeling and Control of Boost-Flyback Converter With High Step-Up Voltage Ratio)

  • 서상욱;이귀준;김래영;현동석
    • 전력전자학회논문지
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    • 제17권1호
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    • pp.67-76
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    • 2012
  • This paper proposes the aggregated modeling and control of integated boost-flyback converter (IBFC) for understanding of dynamics characteristic and designing of relevant controller. The basic concept of the aggregated modeling is to substitute the boost or the flyback converter with an equivalent current source. Since each converter with equivalent current source corresponds to the basic boost and flyback converters, the overall mathematical process is significantly simplified for the modeling. Afterwards each result is combined to construct the complete model of the IBFC, and the relevant controller is designed through the achieved small-signal model. Simulation and experimental results show excellent agreement with the theoretical expectations.