• 제목/요약/키워드: Algebraic geometry

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민감도 정보를 이용한 구조물의 내구보강 기법 (Technique to reinforce the structure using the sensitivity information)

  • 권성훈;유홍희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2008년도 추계학술대회논문집
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    • pp.474-478
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    • 2008
  • In this paper, the technique to reinforce the structure using the sensitivity information is proposed. Design variables related to the geometry of structure at fatigue fracture points are determined and sensitivities of fatigue life at fracture points with respect to the variation of design variables are calculated. Then the vector composed of gaps between the target life and initial life cycles at fracture points is calculated. The linear algebraic equation to solve the variation of design variables is composed. From the equation, the design variables for reinforced structure are determined.

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Ground Track Prediction Model of the KITSAT-1

  • Yi, Hyun-Joo;Park, Kyu-Hong-
    • 한국우주과학회:학술대회논문집(한국우주과학회보)
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    • 한국우주과학회 1992년도 한국우주과학회보 제2권1호
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    • pp.20-20
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    • 1993
  • An accurate prediction of the satellite ground track is essential to optimise the maneuver design. It requres a prediction model that considers all perturflations that cause significant variations in the satellite ground track. We developed a prediction model that includes the effects of the fifth-order zonal harmonics, atmospheric drag, and luni-solar gravitational perturbations. Luni-solar gravity perturbations have been obtained in an ether way which is different from the method we used in previous paper(Yi and Choi, 1992). In this case, we consrtuct our own disturbing fuction including inclination term by the Algebraic Manipulation. Luni-solar perturbations reduce the maneuver magnitude required to offset eastward ground track drift due to drag, the amount dependent on current luni-solar phasing geometry.

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Conformally invariant tensors on hermitian manifolds

  • Matsuo, Koji
    • 대한수학회보
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    • 제33권3호
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    • pp.455-463
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    • 1996
  • In [3] and [4], Kitahara, Pak and the author obtained the conformally invariant tensor $B_0$, which is an algebraic Hermitian analogue of the Weyl conformal curvature tensor W in the Riemannian geometry, by the decomposition of the curvature tensor H of the Hermitian connection and the notion of semi-curvature-like tensors of Tanno (see[7]). In [5], the author defined a conformally invariant tensor $B_0$ on a Hermitian manifold as a modification of $B_0$. Moreover he introduced the notion of local conformal Hermitian-flatness of Hermitian manifolds and proved that the vanishing of this tensor $B_0$ together with some condition for the scalar curvatures is a necessary and sufficient condition for a Hermitian manifold to be locally conformally Hermitian-flat.

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A Volume Reconstruction Algorithm and a Coordinate Calibration of an X-ray Three Dimensional Imaging System

  • Roh, Young-Jun;Cho, Hyung-Suck;Jeon, Hyoung-Jo;Kim, Hyeong-Cheol
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.63.3-63
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    • 2001
  • Inspection and shape measurement of three-dimensional objects are widely needed in industries for quality monitoring and control. In this paper, we propose a three dimensional volume reconstruction method, which is an iterative method and as uniform and simulated algebraic reconstruction technique (USART). In this method, two or more x-ray images projected from different views are needed, and also the geometry of the imaging system need to be a priori identified well. That is to say, the relative locations between the x-ray source, imaging plane and the object should be determined exactly by calibration. To achieve this, we propose a series of coordinate calibration methods of the x-ray imaging system using grid pattern images. Some experimental results of these calibrations is presented and discussed in detail ...

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가압주조법을 이용한 금속복합재료 제조공정의 침투와 열전달 해석 (Numerical Simulation of Infiltration and Solidification for Squeeze Casting of MMCs)

  • 정창규;한경섭
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2004년도 추계학술발표대회 논문집
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    • pp.250-253
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    • 2004
  • A finite element model is developed for the process of squeeze casting of metal matrix composites. The fluid flow and the heat transfer are fundamental phenomena in squeeze casting. The equations for the clear fluid flow and the flow in porous media are used to simulate the transient metal flow. To describe heat transfer in the solidification of molten aluminum, the energy equation is written in terms of temperature and enthalpy. A direct iteration technique is used to solve the resulting nonlinear algebraic equations. The cooling curves and temperature distribution during infiltration and solidification were calculated for a simplified model with pure aluminum. The developed program can be used for squeeze casting process of complex geometry, boundary conditions and processing parameter optimization.

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유전알고리즘과 CFD기법을 이용한 터빈블레이드 경사각 최적화 (Leaning Angle Optimization of the Turbine Blade using the Genetic Algorithm and CFD method)

  • 이은석;정용현
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년도 춘계학술대회논문집
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    • pp.413-414
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    • 2008
  • Abstract should be in English. The leaning angle optimization of turbine blade using the genetic algorithm was conducted in this paper. The calculation CFD technique was based upon the Diagonalized Alternating Directional Implicit scheme(DADI) with algebraic turbulencemodeling. The leaning angle of VKI turbine blade was represented using B-spline curve. The control points are the design variable. Genetic algorithm was taken into account as an optimization tool. The objective was to minimize the total pressure loss. The optimized final geometry shows the better aerodynamic performance compared with the initial turbine blade.

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Biot의 원뿔곡선에 관한 conjecture의 재해석 (Reinterpretation of the Biot's conjecture on conics)

  • 김향숙;박혜경
    • East Asian mathematical journal
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    • 제36권4호
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    • pp.455-474
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    • 2020
  • In this study, we investigate the latus rectum, one of the geometric measures of the conics, as one of the ways in which learners harmonize the geometric and algebraic approaches to conics from a pedagogical point of view. We also introduce the conical curve of Biot as presented in 'The Discourse on the Latus Rectum in conics(2013)' by Takeshi Sugimoto and reinterpret it for visualization and use as teaching material. Therefore, we expect that the importance of mathematical concepts will be recognized in conics and students can experience geometry learning that is explored in the school field and have a positive effect in developing the power to apply even in the context of applied problems.

On the Existence of Maximal Fan Design

  • Kim, Hyoungsoon;Park, Dongkwon;Kim, KyungHee
    • Communications for Statistical Applications and Methods
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    • 제9권2호
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    • pp.347-354
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    • 2002
  • An n-point design is maximal fan if all the models with n-terms satisfying the divisibility condition are estimable. Such designs tend to be space filling and look very similar to the ″Latin-hypercube″ designs used in computer experiments. Caboara, Pistone, Riccomago and Wynn (1997) conjectured that a maximal fan design on an integer grid exists for any n and m, where m is the number of factors. In this paper we examine the relationship between maximal fan design and latin-hypercube to give a partial solution for the conjecture.

역동적 기하 환경에서 비례를 이용한 중학교 함수의 작도 (Construction of Elementary Functions through Proportions on the Dynamic Environment)

  • 류희찬;윤옥교
    • 대한수학교육학회지:학교수학
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    • 제13권1호
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    • pp.19-36
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    • 2011
  • 본 연구는 중학교 학생들에게 닮은 삼각형의 대응변 사이에 성립하는 비례적 성질에 기초하여 함수를 작도할 수 있는 기회를 제공함으로써 대수적 함수와 그것의 기하학적 성질에 관한 학생들의 직관을 촉진시키기 위한 것이다. 또한, 학생들이 선택한 작도 방법에 관한 정당화의 과정을 강조함으로써 연역적 추론능력을 향상시키고자 하였다. 이 예비 연구의 결과로서 학생들이 함수를 작도하는 과정에서 나타나는 사고 과정의 특징과 교사의 역할에 관해 기술하였다.

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On the Feasibility of Interference Alignment in the Cellular Network

  • Chen, Hua;Wu, Shan;Hu, Ping;Xu, Zhudi
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제11권11호
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    • pp.5324-5337
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    • 2017
  • In this paper, we investigate the feasibility of interference alignment(IA) in signal space in the scenario of multiple cell and multiple user cellular networks, as the feasibility issue is closely related to the solvability of a multivariate polynomial system, we give the mathematical analysis to support the constraint condition obtained from the polynomial equations with the tools of algebraic geometry, and a new distribute IA algorithm is also provided to verify the accessibility of the constraint condition for symmetric system in this paper. Simulation results illustrate that the accessibility of the constraint condition is hold if and only if the degree of freedom(DoF) of each user can be divided by both the transmit and receive antenna numbers.