• 제목/요약/키워드: linear relation

검색결과 1,183건 처리시간 0.039초

내부점 선형계획법의 밀집열 분할에 대하여 (On dence column splitting in interial point methods of linear programming)

  • 설동렬;박순달;정호원
    • 경영과학
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    • 제14권2호
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    • pp.69-79
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    • 1997
  • The computational speed of interior point method of linear programming depends on the speed of Cholesky factorization. If the coefficient matrix A has dense columns then the matrix A.THETA. $A^{T}$ becomes a dense matrix. This causes Cholesky factorization to be slow. We study an efficient implementation method of the dense column splitting among dense column resolving technique and analyze the relation between dense column splitting and order methods to improve the sparsity of Cholesky factoror.

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다목적 선형계획 문제에서 유효면의 특성 (Characteristics of Efficient Faces in Multi-objective Linear Programming)

  • 소영섭;박순달
    • 한국경영과학회지
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    • 제16권2호
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    • pp.1-12
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    • 1991
  • The purpose of this paper are to find the relations between efficient faces and the regions of weights on the objective functions in Multi-objective Linear Programming. First, we define the region of weights corresponding to an efficient face, and find the changing pattern within the region of weights. Second, we find the eqution of the dimensional relation between the efficient face and the region of weight corrsponding to it.

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ON CONDITIONALLY DEFINED FIBONACCI AND LUCAS SEQUENCES AND PERIODICITY

  • Irby, Skylyn;Spiroff, Sandra
    • 대한수학회보
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    • 제57권4호
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    • pp.1033-1048
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    • 2020
  • We synthesize the recent work done on conditionally defined Lucas and Fibonacci numbers, tying together various definitions and results generalizing the linear recurrence relation. Allowing for any initial conditions, we determine the generating function and a Binet-like formula for the general sequence, in both the positive and negative directions, as well as relations among various sequence pairs. We also determine conditions for periodicity of these sequences and graph some recurrent figures in Python.

Slip이 발생할 때 신경회로망을 이용한 이동로보트의 위치추정에 관한 연구 (Neural network based position estimation of mobile robot in slippery environment)

  • 최동엽;조형석
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국내학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.133-138
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    • 1993
  • This paper presents neural network based position estimation method in slippery environment as an approach to solve one of problems which are engaged in dead reckoning method. Position estimator is composed of slip detector and linear velocity estimator. Both of them are based on the fact that dynamic characteristic of mobile robot in slippery environment is different from the case without slip. To find out the dynamic relation among driving torque, angular acceleration of driving wheel and linear acceleration of mobile robot, accelerometer is used for measuring acceleration of mobile robot and neural network is used for dynamic system identifier in slippery environment.

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열역학함수간의 직선관계 (제6보) 염화벤질의 염소교환에 미치는 용매효과 (Linear Relationships between Thermodynamic Parameters. Part 6 Solvent Effect on Chloride Exchanges in Benzyl Chloride)

  • 이익춘;박용자
    • 대한화학회지
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    • 제12권4호
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    • pp.160-162
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    • 1968
  • Rate constants and activation parameters have been petermined for the chloride exchanges of benzyl chloride in 60, 70, 80 and 90 vol.% ethanol-water solutions. Results showed a good linearity when appiled to our general equation. The significance of this linear fit has been discussed in conjunction with the Dewar's relation which was derived from the PMO method.

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OSCILLATION AND ASYMPTOTIC STABILITY BEHAVIOR OF A THIRD ORDER LINEAR IMPULSIVE EQUATION

  • WAN ANHUA;MAO WEIHUA
    • Journal of applied mathematics & informatics
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    • 제18권1_2호
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    • pp.405-417
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    • 2005
  • In this paper, the oscillation and asymptotic stability behavior of a third order linear impulsive equation are investigated. A lemma is presented to deal with the sign relation of the nonoscillatory solutions and their derived functions. By the lemma explicit sufficient conditions are obtained for all solutions either oscillating or asymptotically tending to zero. Two illustrative examples are proposed to demonstrate the effectiveness of the conditions.

고저항 전도체의 전기기계적 상관작용과 작용응력 예측이 가능한 긴장재의 제안 (Electromechanical Relation of Conductive Materials with High Electrical Resistance and Its Application to the Estimation of In_situ Stress of Structural Tendons)

  • 지광습;전기우
    • 대한토목학회논문집
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    • 제26권2A호
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    • pp.363-370
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    • 2006
  • 프리스트레스 긴장재에 현재 작용하고 있는 응력을 계측하는 방법으로서 고저항 전도체의 전기기계적 상관작용을 이용하는 방법을 제안했다. 사용 고저항 전도체를 선택하기 위해 탄소섬유와 금속계 열선의 특성을 일반적인 응력제어와는 달리 변형률제어를 통해 실험적으로 연구했다. 탄소섬유의 경우 변형 초기에는 일반적으로 알려진 포물선 형태의 상관관계를 보였으나 재하-제하시 상관관계의 기울기가 일정하지 않아서 본 목적에는 부합하는 않는 것으로 확인되었다. 금속계 열선은 거의 전 구간에서 탄성 재하, 제하 및 재재하시 일정한 선형 상관계수를 보여 본 목적에 매우 적합한 것으로 확인되었다. 금속계열선의 전기기계적 상관관계를 예측하기 위해 완전소성론에 기초한 간단한 식을 제안하였다. 또한 금속계 열선을 이용한 긴장력 측정이 가능한 긴장재를 최초로 제안했다. 본 연구의 부수적인 결과로서 함침되지 않은 탄소섬유의 경우, 특정 변형률 이후 추가 변형에 대해 거의 선형적인 전기기계적 상관관계를 갖는 새로운 경향을 발견했다.

Design the Autopilot System of using GA Algorithm

  • Lee, Sang-Min;Choo, Yeon-Gyu;Lim, Young-Do
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.699-703
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    • 2004
  • The autopilot system targets decreasing labor, working environment, service safety security and elevation of service efficiency. Ultimate purpose is minimizing number of crew for guarantee economical efficiency of shipping service. Recently, being achieving research about Course Keeping Control, Track Keeping Control, Roll-Rudder Stabilization, Dynamic ship Positioning and Automatic Mooring Control etc. which compensate nonlinear characteristic using optimizing control technique. And application research is progressing using real ship on actual field. Relation of Rudder angle which adjusted by Steering Machine and ship-heading angle are non-linear. And, Load Condition of ship acts as non-linear element that influence to Parameter of ship. Also, because the speed of a current and direction of waves, velocity and quantity of wind etc. that id disturbance act in non-linear form, become factor who make service of shipping painfully. Therefore, service system of shipping requires robust control algorithm that can overcome nonlinearity. In this paper, Using GA algorithm,design autopilot system of ship that could overcome the non-linear factor of ship and disturbance and examined result through simulation.

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차량 충돌 방지 시스템을 위한 선형 순환 표적 추정기 설계 (Design of Linear Recursive Target State Estimator for Collision Avoidance System)

  • 한슬기;나원상;황익호;박진배
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2011년도 제42회 하계학술대회
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    • pp.1740-1741
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    • 2011
  • This paper proposes a new linear recursive target state estimator for automotive collision warning system. The target motion is modeled in Cartesian coordinate system while the radar measurements such as range, line-of-sight angle and range rate are obtained in polar coordinate system. To solve the problem by nonlinear relation between these two coordinate system, a practical linear filter design scheme employing the predicted line-of-sight Cartesian coordinate system (PLCCS) is proposed. Especially, PLCCS can effectively incorporate range rate measurements into target tracking system. It is known that the utilization of range rate measurements enables the improvement of target tracking performance. Moreover, PLCCS based target tracking system is implemented by linear recursive filter structure and hence is more suitable scheme for the development of reliable collision warning system. The performance of the proposed method is demonstrated by computer simulations.

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Non-linear study of mode II delamination fracture in functionally graded beams

  • Rizov, Victor I.
    • Steel and Composite Structures
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    • 제23권3호
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    • pp.263-271
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    • 2017
  • A theoretical study was carried-out of mode II delamination fracture behavior of the End Loaded Split (ELS) functionally graded beam configuration with considering the material non-linearity. The mechanical response of ELS was modeled analytically by using a power-law stress-strain relation. It was assumed that the material is functionally graded transversally to the beam. The non-linear fracture was investigated by using the J-integral approach. Equations were derived for the crack arm curvature and zero axes coordinate that are needed for the J-integral solution. The analysis developed is valid for a delamination crack located arbitrary along the beam height. The J-integral solution was verified by analyzing the strain energy release rate with considering material non-linearity. The effects of material gradient, non-linear material behavior and crack location on the fracture were evaluated. The solution derived is suitable for parametric analyses of non-linear fracture. The results obtained can be used for optimization of functionally graded beams with respect to their mode II fracture performance. Also, such simplified analytical models contribute for the understanding of delamination fracture in functionally graded beams exhibiting material non-linearity.