• Title/Summary/Keyword: spatial problem

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Tangram-Like Puzzles and Its Implications in Mathematics Education (유사 탱그램과 그 수학교육적 시사점)

  • Park, Kyo-Sik
    • School Mathematics
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    • v.4 no.1
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    • pp.97-109
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    • 2002
  • In this paper, tangram-like puzzles which are made by dissecting square are introduced. Especially, tangram-like puzzles which are consists of five pieces, six pieces, seven pieces, eight pieces, nine pieces, ten pieces, twelve pieces, fourteen pieces are introduced. But, This Introduction is very superficial. It means introduction is focused on each piece's geometrical shape, relative area when each tangram-like puzzles' area is one. With this introduction, six tangram-like puzzles' implication in mathematics education are suggested as followings. (1) Tangram-like puzzles may help fostering spatial senses. (2) Tangram-like puzzles may help teaching polygons, and its properties, congruences, similarities, etc. (3)Tangram-like puzzles may help teaching additions of fractions. (4) Tangram-like puzzles may help fostering mathematical thinking. (5) Tangram-like puzzles may serve as topics for supplement or reinforcement in teaching and learning tangram. (6) Tangram-like puzzles may serve as topics for problem posing in teaching and learning tangram.

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Modeling of Remediation Design in Theoretically Heterogeneous Domain

  • Ko, Nak-Youl;Lee, Kang-Kun
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2004.09a
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    • pp.302-306
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    • 2004
  • Probabilistic approaches are applied to the problem of groundwater remediation design to consider the risk of design and heterogeneity of real condition. Hydraulic conductivity fields are generated by two methods. First, the homogeneous domains which have the hydraulic conductivity with log-normal distribution are constructed by using Latin Hypercube method. Second, random fields with a certain spatial correlation are also generated. The optimal solutions represented by cumulative distribution function (CDF) of relative cost are calculated by three different manners. The one uses the homogeneous domains with the optimal design of base condition. It shows that ver)'wide range of cost and the influences of different penalty values. The other one uses the random field with same design and shows narrow range of cost. These CDF can reflect on the risk of optimal solution in a simple exampie condition and be effective in estimating the cost of groundwater remediation.

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Spatially Adaptive Image Fusion Based on Local Spectral Correlation (지역적 스펙트럼 상호유사성에 기반한 공간 적응적 영상 융합)

  • 김성환;박종현;강문기
    • Proceedings of the IEEK Conference
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    • 2003.07e
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    • pp.2343-2346
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    • 2003
  • The spatial resolution of multispectral images can be improved by merging them with higher resolution image data. A fundamental problem frequently occurred in existing fusion processes, is the distortion of spectral information. This paper presents a spatially adaptive image fusion algorithm which produces visually natural images and retains the quality of local spectral information as well. High frequency information of the high resolution image to be inserted to the resampled multispectral images is controlled by adaptive gains to incorporate the difference of local spectral characteristics between the high and the low resolution images into the fusion. Each gain is estimated to minimize the l$_2$-norm of the error between the original and the estimated pixel values defined in a spatially adaptive window of which the weight are proportional to the spectral correlation measurements of the corresponding regions. This method is applied to a set of co-registered Landsat7 ETM+ panchromatic and multispectral image data.

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A Study on the Architectural Planning of the Disabled Rehabilitation Facilities with the Independent Living Paradigm (자립생활 패러다임에 의한 장애인종합복지관의 건축계획 연구)

  • Seong, Ki-Chang
    • Journal of The Korea Institute of Healthcare Architecture
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    • v.13 no.4
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    • pp.37-46
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    • 2007
  • The rehabilitation facilities for disabled people keeps going to grow with social changes that disabled people are dramatically increasing. This paper try to provide basic concept of the architectural planning for the disabled rehabilitation facilities. To accomplish this purpose this study has analyzed the behavior pattern of user with disabilities. This study has introduced the problem of using space in the rehabilitation and welfare facilities for the disabled and the architectural concept for resolve it. The architectural planning concept appears by barrier-free accessibility, safety for mobility and use, amenity integrated the spatial cognition and flexible structural system.

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Image Observation of NO Particles Using ICCD camera (ICCD Camera를 이용한 NO 입자의 Image 관측)

  • 전용우;최준영;최상태;박원주;이광식;신용철
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 2000.11a
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    • pp.209-213
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    • 2000
  • In this paper, the removal rate of NO in a reactor is measured first using nonthermal plasma generated from a wire-cylinder type reactor, then the spatial density distribution of NO particles is investigated using ICCD(Intensified Charged Coupled Device) camera. This research uses nonthermal plasma from electrical discharge to analyze the NO characteristics, and the measurements of NO discharge image and Distribution are performed using the ICCD camera to examine the NO characteristics more closely. Furthermore, the method of Laser Induced Fluorescence (LIF) is used to analyze the particular behavior of NO particles more specifically, to suggest a method of reducing exhaust gas, a serious environmental problem.

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Modified gradient methods hybridized with Tikhonov regularization for damage identification of spatial structure

  • Naseralavi, S.S.;Shojaee, S.;Ahmadi, M.
    • Smart Structures and Systems
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    • v.18 no.5
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    • pp.839-864
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    • 2016
  • This paper presents an efficient method for updating the structural finite element model. Model updating is performed through minimizing the difference between the recorded acceleration of a real damaged structure and a hypothetical damaged one. This is performed by updating physical parameters (module of elasticity in this study) in each step using iterative process of modified nonlinear conjugate gradient (M-NCG) and modified Broyden-Fletcher-Goldfarb-Shanno algorithm (M-BFGS) separately. These algorithms are based on sensitivity analysis and provide a solution for nonlinear damage detection problem. Three illustrative test examples are considered to assess the performance of the proposed method. Finally, it is demonstrated that the proposed method is satisfactory for detecting the location and ratio of structural damage in presence of noise.

EVALUATION OF NUMERICAL APPROXIMATIONS OF CONVECTION FLUX IN UNSTRUCTURED CELL-CENTERED METHOD (비정렬 셀 중심 방법에서 대류플럭스의 수치근사벙법 평가)

  • Myong H.K.
    • Journal of computational fluids engineering
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    • v.11 no.1 s.32
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    • pp.36-42
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    • 2006
  • The existing numerical approximations of convection flux, especially the spatial higher-order difference schemes, in unstructured cell-centered finite volume methods are examined in detail with each other and evaluated with respect to the accuracy through their application to a 2-D benchmark problem. Six higher-order schemes are examined, which include two second-order upwind schemes, two central difference schemes and two hybrid schemes. It is found that the 2nd-order upwind scheme by Mathur and Murthy(1997) and the central difference scheme by Demirdzic and Muzaferija(1995) have more accurate prediction performance than the other higher-order schemes used in unstructured cell-centered finite volume methods.

COMPARISON OF FINITE ELEMENT SOLUTIONS WITH THOSE OF ANSYS-FLUENT IN A CONJUGATE HEAT TRANSFER PROBLEM (복합 열전달 해석에서 유한요소 해와 Ansys-Fluent 해의 비교)

  • Jeon, B.J.;Choi, H.G.;Lee, D.H.;Ha, J.P.
    • 한국전산유체공학회:학술대회논문집
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    • 2011.05a
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    • pp.86-87
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    • 2011
  • In this paper, a conjugate heat transfer around cylinder with heat generation was investigated. Both forced convection and conduction was considered in the present finite element simulation. A finite element formulation based on SIMPLE type algorithm was adopted for the solution of the incompressible Navier-Stokes equations. We compared the finite element solution with that of Ansys fluent 12.0, in which finite volume method was employed for spatial discretization. It was found that the finite element method gave more accurate solution than Ansys fluent 12.0. Further, it was found that the maximum temperature inside cylinder is positioned at the rear side due to the flow separation.

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Numerical analysis of free surface flow s using least square/level-set method (최소자승법과 Level-set 방법을 이 용한 자유표면 유동의 수치해석)

  • Choi, Hyoung-G.
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03b
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    • pp.565-567
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    • 2008
  • In the present study, a least square/level set based two-phase flow code has been developed using finite element discretization, which can be utilized for the analysis of a free surface flow problem in a complex geometry. Since the finite element method is employed for the spatial discretization of governing equations, an unstructured mesh can be naturally adopted for the level set simulation of a bubble-in-liquid flow without an additional load for the code development except that solution methods of the hyperbolic type redistancing and advection equations of the level set function should be devised in order to give a bounded solution on the unstructured mesh. For the discretization of hyperbolic type redistancing and advection equations, least square method is adopted. From the numerical experiments of the present study, it is shown that the proposed method is both robust and accurate.

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A Computational Efficient General Wheel-Rail Contact Detection Method

  • Pombo Joao;Ambrosio Jorge
    • Journal of Mechanical Science and Technology
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    • v.19 no.spc1
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    • pp.411-421
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    • 2005
  • The development and implementation of an appropriate methodology for the accurate geometric description of track models is proposed in the framework of multibody dynamics and it includes the representation of the track spatial geometry and its irregularities. The wheel and rail surfaces are parameterized to represent any wheel and rail profiles obtained from direct measurements or design requirements. A fully generic methodology to determine, online during the dynamic simulation, the coordinates of the contact points, even when the most general three dimensional motion of the wheelset with respect to the rails is proposed. This methodology is applied to study specific issues in railway dynamics such as the flange contact problem and lead and lag contact configurations. A formulation for the description of the normal contact forces, which result from the wheel-rail interaction, is also presented. The tangential creep forces and moments that develop in the wheel-rail contact area are evaluated using : Kalker linear theory ; Heuristic force method ; Polach formulation. The methodology is implemented in a general multibody code. The discussion is supported through the application of the methodology to the railway vehicle ML95, used by the Lisbon metro company.