• 제목/요약/키워드: integral point

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Layouts and Cells in Integral Photography and Point Light Source Model

  • Saveljev, Vladimir V.;Shin, Seung-Jung
    • Journal of the Optical Society of Korea
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    • 제13권1호
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    • pp.131-138
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    • 2009
  • The similarity between two groups of displaying methods is demonstrated in two ways, analytically and experimentally. A variety of layouts of the integral photography and display devices based on the point light source model is classified and analyzed in terms of projections and common/separate image planes. In particularly, the transformation matrix is found. Simulation experiments based on the image processing were performed. The layouts, analytical formulas, and experimental results show the similarity of both groups for several layouts.

SPECTRAL ANALYSIS FOR THE CLASS OF INTEGRAL OPERATORS ARISING FROM WELL-POSED BOUNDARY VALUE PROBLEMS OF FINITE BEAM DEFLECTION ON ELASTIC FOUNDATION: CHARACTERISTIC EQUATION

  • Choi, Sung Woo
    • 대한수학회보
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    • 제58권1호
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    • pp.71-111
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    • 2021
  • We consider the boundary value problem for the deflection of a finite beam on an elastic foundation subject to vertical loading. We construct a one-to-one correspondence �� from the set of equivalent well-posed two-point boundary conditions to gl(4, ℂ). Using ��, we derive eigenconditions for the integral operator ��M for each well-posed two-point boundary condition represented by M ∈ gl(4, 8, ℂ). Special features of our eigenconditions include; (1) they isolate the effect of the boundary condition M on Spec ��M, (2) they connect Spec ��M to Spec ����,α,k whose structure has been well understood. Using our eigenconditions, we show that, for each nonzero real λ ∉ Spec ����,α,k, there exists a real well-posed boundary condition M such that λ ∈ Spec ��M. This in particular shows that the integral operators ��M, arising from well-posed boundary conditions, may not be positive nor contractive in general, as opposed to ����,α,k.

ON THE OSTROWSKI INEQUALITY FOR THE RIEMANN-STIELTJES INTEGRAL ${\int}_a^b$ f (t) du (t), WHERE f IS OF HÖLDER TYPE AND u IS OF BOUNDED VARIATION AND APPLICATIONS

  • DRAGOMIR, S.S.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제5권1호
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    • pp.35-45
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    • 2001
  • In this paper we point out an Ostrowski type inequality for the Riemann-Stieltjes integral ${\int}_a^b$ f (t) du (t), where f is of p-H-$H{\ddot{o}}lder$ type on [a,b], and u is of bounded variation on [a,b]. Applications for the approximation problem of the Riemann-Stieltjes integral in terms of Riemann-Stieltjes sums are also given.

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CUBIC FORMULA AND CUBIC CURVES

  • Woo, Sung Sik
    • 대한수학회논문집
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    • 제28권2호
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    • pp.209-224
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    • 2013
  • The problem of finding rational or integral points of an elliptic curve basically boils down to solving a cubic equation. We look closely at the cubic formula of Cardano to find a criterion for a cubic polynomial to have a rational or integral roots. Also we show that existence of a rational root of a cubic polynomial implies existence of a solution for certain Diophantine equation. As an application we find some integral solutions of some special type for $y^2=x^3+b$.

MULTIPLE POSITIVE SOLUTIONS OF INTEGRAL BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFERENTIAL EQUATIONS

  • Liu, Xiping;Jin, Jingfu;Jia, Mei
    • Journal of applied mathematics & informatics
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    • 제30권1_2호
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    • pp.305-320
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    • 2012
  • In this paper, we study a class of integral boundary value problems for fractional differential equations. By using some fixed point theorems, the results of existence of at least three positive solutions for the boundary value problems are obtained.

A Maximum Power Point Tracking Control for Photovoltaic Array without Voltage Sensor

  • Senjyu Tomonobu;Shirasawa Tomiyuki;Uezato Katsumi
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 2001년도 Proceedings ICPE 01 2001 International Conference on Power Electronics
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    • pp.617-621
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    • 2001
  • This paper presents a maximum power point tracking algorithm for Photovoltaic array using only instantaneous output current information. The conventional Hill climbing method of peak power tracking has a disadvantage of oscillations about the maximum power point. To overcome this problem, we have developed a algorithm, that will estimate the duty ratio corresponding to maximum power operation of solar cell. The estimation of the optimal duty ratio involves, finding the duty ratio at which integral value of output current is maximum. For the estimation, we have used the well know Lagrange's interpolation method. This method can track maximum power point quickly even for changing solar insolations and avoids oscillations after reaching the maximum power point.

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A Maximum Power Point Tracking Control for Photovoltaic Array without Voltage Sensor

  • Senjyu, Tomonobu;Shirasawa, Tomiyuki;Uezato, Katsumi
    • Journal of Power Electronics
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    • 제2권3호
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    • pp.155-161
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    • 2002
  • This paper presents a maximum power point tracking algorithm for Photovoltaic array using only instantaneous output current information. The conventional Hill climbing method of peak power tracking has a disadvantage of oscillations about the maximum power point. To overcome this problem, we have developed an algorithm that will estimate the duty ratio corresponding to maximum power operation of solar cell. The estimation of the optimal duty ratio involves, finding the duty ratio at which integral value of output current is maximum. For the estimation, we have used the well know Lagrange's interpolation method. This method can track maximum power point quickly even for changing solar isolation and avoids oscillations after reaching the maximum power point.

생물학적 하수처리시스템에 적용된 Proportional, Integral 및 P-I 조절 시스템에 대한 비교 (Comparison of Proportional, Integral, and P-I Control Systems in Biological Wastewater Treatment Plants)

  • 김성표
    • 한국물환경학회지
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    • 제21권4호
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    • pp.410-415
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    • 2005
  • The main purpose of this study is to evaluate the characteristics of three sets of traditional control methods (proportional, integral, and proportional - integral controls) through lab-scale biological reactor experiments. An increase in proportional gain ($K_c$) resulted in reduced dissolved oxygen (DO) offset under proportional control. An increase in integral time ($T_i$) resulted in a slower response in DO concentration with less oscillation, but took longer to get to the set point. P-I control showed more stable and efficient control of DO and airflow rates compared to either proportional control or integral control. Developed P-I control system was successfully applied to lab-scale Sequencing Batch Reactor (SBR) for treating industrial wastewater with high organic strength.

광폭 플랜지 PSC 거더 단부 프리캐스트 블록을 활용한 반일체식교대교량의 구조성능 평가 (Structural Performance Evaluation on Ended Block of Wide Flange PSC Girder for the Semi-Integral Bridges)

  • 가훈;최진우;김영호;박종면
    • 대한토목학회논문집
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    • 제42권1호
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    • pp.1-9
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    • 2022
  • 반일체식교대교량은 일체식 교대교량의 한 형식이다. 이 교량은 상부구조에서 신축조인트를 제거한 것으로 완전일체식 교대교량이 적용하지 못한 상황에 사용할 수 있으며, 유지관리 성능이 우수하고, 하부구조를 경제적으로 시공할 수 있다. 이 연구는 교대벽체의 일부를 PSC 거더의 단부 벽체형 블록 형태로 제작한 반일체식교대교량에 대한 것으로, 온도신축에 따라 종방향 이동에 저항 역할을 하는 프리캐스트 블록을 활용한 PSC 거더이다. 프리캐스트 블록 PSC 거더는 거더 단부에 프리캐스트 블록을 일체 타설하여 제작하며, 교대벽체 위에 단순거치한 후 무수축 콘크리트와 합성하는 방식으로 시공한다. 따라서 본 연구는 재하실험을 통해 구조계산한 결과에 비교하고자 하며, 나아가 실제 시공된 반일체식교대교량의 토압 및 상부구조 변위 계측하여 이를 분석을 통한 구조성능 평가하였다.