• 제목/요약/키워드: diagonal point

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Algorithmic Properties of Isotone Complementarity Problems

  • Ahn, Byong-Hun
    • Journal of the Korean Operations Research and Management Science Society
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    • 제12권1호
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    • pp.10-18
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    • 1987
  • This paper discusses algorithmic properties of a class of complementarity programs involving strictly diagonally isotone and off-diagonally isotone functions, i. e., functions whose Jacobian matrices have positive diagonal elements and nonnegative off-diagonal elements, A typical traffic equilibrium under elastic demands is cast into this class. Algorithmic properties of these complementarity problems, when a Jacobi-type iteration is applied, are investigated. It is shown that with a properly chosen starting point the generated sequence are decomposed into two converging monotonic subsequences. This and related will be useful in developing solution procedures for this class of complementarity problems.

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Bezier Control Points for the Image of a Domain Curve on a Bezier Surface (베지어 곡면의 도메인 곡선의 이미지 곡선에 대한 베지어 조정점의 계산)

  • 신하용
    • Korean Journal of Computational Design and Engineering
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    • 제1권2호
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    • pp.158-162
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    • 1996
  • Algorithms to find the Bezier control points of the image of a Bezier domain curve on a Bezier surface are described. The diagonal image curve is analysed and the general linear case is transformed to the diagonal case. This proposed algorithm gives the closed form solution to find the control points of the image curve of a linear domain curve. If the domain curve is not linear, the image curve can be obtained by solving the system of linear equations.

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INCOMPLETENESS OF SPACE-TIME SUBMANIFOLD

  • Kim, Jong-Chul
    • Journal of the Korean Mathematical Society
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    • 제36권3호
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    • pp.581-592
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    • 1999
  • Let M be a properly immersed timelike hypersurface of $\overline{M}$. If M is a diagonal type, M satisfies the generic condition under the certain conditions of the eigenvalues of the shape operator. Moreover, applying them to Raychaudhuri equation, we can show that M satisfies the generic condition. Thus, by these results, we establish the singularity theorem for M in $\overline{M}$.

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Numerical Study on the Behavior of Corner Areas in Excavation Site (굴착 모서리부 거동에 대한 수치해석 연구)

  • Seok, Jeong-Woo;Hwang, Dae-Jin
    • Proceedings of the Korean Geotechical Society Conference
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    • 한국지반공학회 2004년도 춘계학술발표회
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    • pp.757-764
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    • 2004
  • This paper deals with the numerical study on the displacement behavior of corner areas in an excavation site. Several corner areas always exist in the excavation site. The corner area has two free surfaces, which may become serious weak point from the viewpoint of structural stability. If the structural reinforcements are not applied adequately in corner areas, significant displacement of retaining wall could occur. What is worse, the collapse of retaining system rarely happens. In this paper, 3D numerical analyses were performed to investigate the effect of the arrangement of diagonal and normal strut. From the analysis results, it is found that the spacing between diagonal strut and normal strut should be less than 4m to avoid excessive displacement due to excavation.

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Mixed $\textrm{H}_2/\textrm{H}_\infty$ Robust Control with Diagonal Structured Uncertainty

  • Bambang, Riyanto;Uchida, Kenko;Shimemura, Etsujiro
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 19-21 Oct. 1992
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    • pp.575-580
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    • 1992
  • Mixed H$_{2}$/H$_{\infty}$ robust control synthesis is considered for finite dimensional linear time-invariant systems under the presence of diagonal structured uncertainties. Such uncertainties arise for instance when there is real perturbation in the nominal model of the state space system or when modeling multiple (unstructured) uncertainty at different locations in the feedback loop. This synthesis problem is reduced to convex optimization problem over a bounded subset of matrices as well as diagonal matrix having certain structure. For computational purpose, this convex optimization problem is further reduced into Generalized Eigenvalue Minimization Problem where a powerful algorithm based on interior point method has been recently developed..

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Establishment of the Heart Failure Model by Coronary Artery Ligation in Sheep (양에서 관상동맥 결찰에 의한 심부전 모델의 확립)

  • 나찬영;홍장수;박정준;김원곤;강문철;서정욱
    • Journal of Chest Surgery
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    • 제35권1호
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    • pp.1-10
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    • 2002
  • Background: Despite the relatively high mortality rates in the chronic heart failure model induced by coronary artery ligation are relatively high, this model has been a subject of continuos research because of its clinical correlation. Chronic heart failure model of large-sized animals is very useful to analyse mechanical or biological effects on circulatory system which is difficult in small-sized animals. The purpose of this study is to establish the heart failure model by coronary artery ligation in sheep. Material and Method: Among 9 Corridale sheep, the homonymous artery and the diagonal branch were ligated simultaneously in 2 sheep and remaining 7 sheep were assigned to successive ligation of both arteries at an interval of 1 hour. Both coronary arteries were ligated from the point 40% proximal to the apex of the heart. Hemodynamic and echocardiographic parameters were analyzed before the ligation of the coronary artery, after the ligation of the homonymous artery, and after additional ligation of the diagonal branch. The experimental animals were sacrificed after 2 or 3 months of growth and histopathologic studies were performed Result: Immediate postoperative death occurred in the 2 sheep that had received simultaneous ligation of the homonymous artery and diagonal branch. On the other hand, all the 7 sheep that were lifated in succession were survived up to 3 months. Arterial pressure was sifnificantly decreased immediately after ligation of the homonymous artery(p<0.05), and the cardiac output was decreased and pulmonary capillary wedge pressure was increased after further ligation of the diagonal branch(p<0.05). Central venous pressure, pulmonary artery pressure, pulmonary capillary wedge pressure, left ventricular end-diastolic dimension and end-systolic dimension were markedly increased 3 months after ligation of coronary arteries. Anteroseptal akinesia or dyskinesia was developed after the ligation of coronary arteries. Histopathologic study revealed we]1-demarcated ischemic area of fibrosis. Conclusion: Using methods of successive ligation of the homonymous artery and diagonal branch, chronic heart failure model could be reliably established in sheep.

RADIATIVE TRANSFER IN A SCATTERING SPHERICAL ATMOSPHERE

  • HONG S. S.;PARK Y.-S.;KWON S. M.;PARK C.;WEINBERG J. L.
    • Journal of The Korean Astronomical Society
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    • 제35권1호
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    • pp.41-57
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    • 2002
  • We have written a code called QDM_sca, which numerically solves the problem of radiative transfer in an anisotropically scattering, spherical atmosphere. First we formulate the problem as a second order differential equation of a quasi-diffusion type. We then apply a three-point finite differencing to the resulting differential equation and transform it to a tri-diagonal system of simultaneous linear equations. After boundary conditions are implemented in the tri-diagonal system, the QDM_sca radiative code fixes the field of specific intensity at every point in the atmosphere. As an application example, we used the code to calculate the brightness of atmospheric diffuse light(ADL) as a function of zenith distance, which plays a pivotal role in reducing the zodiacal light brightness from night sky observations. On the basis of this ADL calculation, frequent uses of effective extinction optical depth have been fully justified in correcting the atmospheric extinction for such extended sources as zodiacal light, integrated starlight and diffuse galactic light. The code will be available on request.

Development of a laboratory testing method for evaluating the loading capability of lattice girder (격자지보재(Lattice Girder)의 실내성능평가기법 개발)

  • Kim, Dong-Gyou;Bae, Gyu-Jin
    • Journal of Korean Tunnelling and Underground Space Association
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    • 제10권4호
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    • pp.371-382
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    • 2008
  • The objective of this study is to develop the laboratory testing method for evaluating the loading capacity of lattice girder used for support in tunnel structure. 3-point flexible strength test and 4-point flexible strength test were performed on three types of lattice girder, such as $LG-50{\times}20{\times}30$, $LG-70{\times}20{\times}30$, and $LG-95{\times}22{\times}32$, mainly used in Korea. Two types of loading position for each flexible strength test were used to analyze the behavior of load-deformation. The loading distribution in the lattice girder was analyzed by means of strains measured by strain gauges attached on chords and diagonal bars. In 3-point flexible strength test, the difference of the average of maximum flexible strength according to loading position had the range from 10% to 33%. In 4-point flexible strength test, the average of maximum flexible strength according to loading position was almost no difference. The difference between the average of maximum flexible strengths obtained from 3-point and 4-point flexible strength tests was from 13.56 to 31.55%. The load applied on the lattice girder was concentrated to the main chord in 3-point flexible strength test. The load applied on the lattice girder in 4-point flexible strength test was distributed to three chords and diagonal bars.

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Kripke's Theory of Truth and the Liar Paradox

  • Kim, Doe-Sik
    • Korean Journal of Logic
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    • 제7권1호
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    • pp.67-83
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    • 2004
  • The purpose of this paper is to defend Kripke's theory of truth from Simmons' objection. First after introducing various sorts of the liar paradox, briefly I explain Tarski's attempt to solve the puzzle. Then, I outline Kripke's solution by using the concept of 'fixed point'. Simmons offers an interesting objection against Kripke's solution. He uses a diagonal argument in his attack to Kripke's idea. I claim that Simmons seem to use 'exclusion negation' in refuting Kripke. I think, however, there is an alternative interpretation, which is 'choice negation'. With using choice negation, I maintain that Kripke's theory of ruth can be defended from Simmons' objection.

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Shear Strength of Concrete Members without Transverse Steel (횡보강근이 없는 콘크리트 부재의 전단강도)

  • 김장훈
    • Journal of the Korea Concrete Institute
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    • 제12권6호
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    • pp.57-66
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    • 2000
  • The truss analogy for the analysis of beam-columns subjected of shear and flexure is limited by the contribution of transverse and longitudinal steel and diagonal concrete compression struts. However, it should be noted that even though the behavior of reinforced concrete beam-columns after cracking can be modeled with the truss analogy, they are not perfect trusses but still structural elements with a measure of continuity provided by a diagonal tension field. The mere notion of compression field denotes that there should be some tension field coexisting perpendicularly to it. The compression field is assumed to form parallel to the crack plane that forms under combined flexure and shear. Therefore, the concrete tension field may be defined as a mechanism existing across the crack and resisting crack opening. In this paper, the effect of concrete tensile properties on the shear strength and stiffness of reinforced concrete beam-columns is discussed using the Gauss two-point truss model. The theoretical predictions are validated against the experimental observations. Although the agreement is not perfect, the comparison shows the correct trend in degradation as the inelasticity increases.