• Title/Summary/Keyword: Smooth 함수

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Teaching-Learning Methods articulated with mathematics in middle school (중학 수학의 연계적인 교수 학습 방법에 관한 연구 - 함수 영역을 중심으로)

  • 장이채;김태균;정인철;송주현
    • Journal of the Korean School Mathematics Society
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    • v.6 no.2
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    • pp.21-37
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    • 2003
  • In this paper, we improved, compared and analyzed the articulation of school mathematics. We also tried to form the theoretical basis of school mathematics by classifying and considering the articulation into vertical articulation and horizontal articulation depending on the meaning, and give an actual help. The articulation of school mathematics until now has been focused on a study of vertical articulation according to the macroscopic characteristic of mathematics, but now a study of the horizontal articulation as well as the vertical articulation should be done in consideration of the micro characteristics of mathematics and various realities of life by modifying a syllabus of the function unit and by using internet homepage. Thus, we structurally divided the articulation into vertical articulation and horizontal articulation, analyzed mathematical activities and presented actual models of each representative learning activity for smooth teaching in schools through the function unit.

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A Study on Filling Holes of Large Polygon Model using Implicit Surface Scheme and Domain Decomposition Method (음함수 곡면기법과 영역 분할법을 이용한 대형 폴리곤 모델의 홀 메움에 관한 연구)

  • Yoo Dong-Jin
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.1 s.178
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    • pp.174-184
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    • 2006
  • In order to fill the holes with complex shapes in the large polygon model, a new approach which is based on the implicit surface interpolation method combined with domain decomposition method is presented. In the present study, a surface is constructed by creating smooth implicit surface from the incomplete polygon model through which the surface should pass. In the method an implicit surface is defined by a radial basis function, a continuous scalar-valued function over the domain $R^3$ The generated surface is the set of all points at which this scalar function takes on the value zero and is created by placing zero-valued constraints at the vertices of the polygon model. In this paper the well-known domain decomposition method is used in order to treat the large polygon model. The global domain of interest is divided into smaller domains where the problem can be solved locally. LU decomposition method is used to solve a set of small local problems and their local solutions are combined together using the weighting coefficients to obtain a global solution. In order to show the validity of the present study, various hole fillings are carried out fur the large and complex polygon model of arbitrary topology.

(A Study on an Adaptive Multimedia Synchronization Scheme for Media Stream Transmission) (미디어 스트림 전송을 위한 적응형 멀티미디어 동기화 기법에 관한 연구)

  • 지정규
    • Journal of the Korea Computer Industry Society
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    • v.3 no.9
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    • pp.1251-1260
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    • 2002
  • Real-time application programs have synchronization constraints which need to be met between media-data. Synchronization method represents feedback method including virtual client-side buffer. This buffer is used in buffer level method. It is client-leading synchronization that is absorbing variable transmission delay time and that is synchronizing by feedback control. It is the important factor for playback rate and QoS if the buffer level is normal or not. To solve the problems, we can control the start of transmission in multimedia server by appling filtering, control and network evaluation function. Synchronization method is processing for smooth presentation without cut-off while media is playing out. When audio frame which is master media is in high threshold buffer level we decrease play out time gradually, otherwise we increase it slowly.

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IMAGING THE UPPER CRUST OF THE KOREAN PENINSULA BY SURFACE WAVE TOMOGRAPHY (표면파 토모그래피를 이용한 한반도 상부지각의 이미지)

  • Cho, Kwang-Hyun;Herrmann, Robert B.;Lee, Kie-Hwa
    • 한국지구물리탐사학회:학술대회논문집
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    • 2006.06a
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    • pp.41-50
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    • 2006
  • The crustal structure of Korean Peninsula have been investigated by analyzing group velocity dispersion data of surface wave. Cross.correlation of seismic background motions (Campillo and Paul, 2003; Shapiro et al., 2005) has been applied to estimate the short.period Rayleigh. and Love.wave group velocity dispersion characteristics of the region. Standard processing procedures were applied to the cross.correlation, except that signal whitening was used in place of one.bit sampling equalize power in signals from different times. Multiple.filter analysis was used to extract the group velocities from the estimate Green's functions, which were then use to image the spatially varying dispersion at periods between 0.5 and 20 seconds. The tomographic inversion technique used inverted all periods simultaneously to provide a smooth dispersion curve as a function of period in addition to the usual smooth spatial image for a given period. The Gyeongsang Basin in the southeastern part of the peninsula is clearly resolved with lower group velocities.

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A Study on Cutting Pattern Generation of Membrane Structures Using Spline Curves (스플라인 곡선을 이용한 막구조물의 재단도 작성에 관한 연구)

  • Shon, Su-Deok;Lee, Seung-Jae
    • Journal of Korean Association for Spatial Structures
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    • v.12 no.1
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    • pp.109-119
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    • 2012
  • For membrane structure, there are three main steps in design and construction, which are form finding, statistical load analysis, and cutting patterning. Unlike the first two stages, the step of cutting pattern involves the translation of a double-curved surface in 3D space into a 2D plane with minimal error. For economic reasons, the seam lines of generated cutting patterns rely greatly on the geodesic line. Generally, as searching regions of the seam line are plane elements in the step of shape analysis, the seam line is not a smooth curve, but an irregularly divided straight line. So, it is how we make an irregularly divided straight line a smooth curve that defines the quality of the pattern. Accordingly, in this paper, we analyzed interpolation schemes using spline, and apply these methods to cutting pattern generation on the curved surface. To generate the pattern, three types of spline functions were used, i.e., cubic spline function, B-spline, and least-square spline approximation, and simple model and the catenary-shaped membrane was adopted to examine the result of generation. The result of comparing the approximation curves by the number of elements and the number of extracted nodes of simple model revealed that the seam line for less number of extracted nodes with large number of elements were more efficient, and the least-square spline approximation provided smoother seam line than other methods.

Shape Design Optimization of Electrode for Maximal Dielectrophoresis Forces (최대 유전영동력을 위한 전극의 형상 최적설계)

  • Jeong, Hong-Yeon;Cho, Seonho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.32 no.4
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    • pp.223-231
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    • 2019
  • A continuum-based design sensitivity analysis(DSA) method is developed for electrostatic problems. To consider high order objective functions, we use 9-node finite element basis functions for analysis and DSA methods. As the design variables are parameterized with B-spline functions, smooth boundary variations are naturally obtained. To solve mesh entanglement problems during the optimization process, a mesh regularization scheme is employed. By minimizing the Dirichlet energy functional, mesh uniformity can be automatically achieved. In numerical examples for maximizing dielectrophoresis forces, the numerical results are compared with well-known electrode geometries and the obtained characteristics are discussed.

Dynamic Stabilization for a Nonlinear System with Uncontrollable Unstable Linearization (제어불가능 불안정 선형화를 가지는 비선형 시스템에 대한 다이나믹 안정화)

  • Seo, Sang-Bo;Shim, Hyung-Bo;Seo, Jin-Heon
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.46 no.4
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    • pp.1-6
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    • 2009
  • In this paper, we design a dynamic state feedback smooth stabilizer for a nonlinear system whose Jacobian linearization may have uncontrollable mode because its eigenvalues are on the right half-plane. After designing an augmented system, a dynamic exponent scaling and backstepping enable one to explicitly design a smooth stabilizer and a continuously differentiable Lyapunov function which is positive definite and proper. The convergence of the designed controller is proved by the new notion 'degree indicator'.

An Analysis on the Geomagnetic Transfer Function at Yongin Observatory Using by RR (Remote Reference) and SNS (Signal Noise Separation) Technique (원격참조(RR: Remote Reference) 기법과 신호잡음분리(SNS: Signal Noise Separation)기술을 이용한 용인 관측소의 지자기 전달함수 분석)

  • Yang Junmo;Lee Duk-Kee;Kwon Byung-Doo;Ryu Yong-Gyu;Youn Yong-Hoon
    • Economic and Environmental Geology
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    • v.38 no.2 s.171
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    • pp.155-163
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    • 2005
  • For an unbiased TF (Tansfer Function) estimations we investigate geomagnetic TF derived from ICHEON and YONGIN sites, employing RR (Remote Reference) and SNS (Signal Noise Separation) techniques. The Rh technique, which requires synchronized field variations recorded at a clean remote site, is a reliable method to minimize the bias of TF by uncorrelated noises in magnetic channels. Meanwhile, SNS technique based on the assumption of noise-free remote data can improve the signal-noise level by separating signal TF and noise TF, which is successfully applied to the environments with strong correlated noises. In this study, TF at YONGIN is analyzed using geomagnetic data from ICHEON site as a remote reference, which seem to have somewhat better data quality. The application of Rh technique reduces the bias of TF, which appears in single site robust estimation, and makes curves in the amplitude and phase of TF more smooth as frequency. Futhermore, in order to investigate noise source quantitatively, SNS technique is applied. The results of SNS suggest that dominant noise source seems to be located at western region of YONGIN. This noise source is considered to originate from railway system such as KTX and national subway. which passes through the west regions of YONGIN.

Implementation of Smooth Moving Sound Effect in 3D Sound Generation (입체음향 생성에 있어서 자연스러운 이동음 효과의 구현)

  • Myung, Hyun;Kim, Ki-Hong;Kim, Ki-Ho;Kim, Yong-Wan;Kim, Hyun-Bin;Kim, Poong-Min
    • Journal of KIISE:Software and Applications
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    • v.28 no.10
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    • pp.699-705
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    • 2001
  • As it became possible to generate 3D sound on a PC environment due to the advances in computing performance and digital signal processing technology, 3D sound technology gains its focus in the multimedia area Specifically a two-channel based 3D sound technology is being studied by many researchers because of its space efficiency and economical structure. While the positional sound effect is simple in its implementation, the moving sound effect has many problems to be resolved as there are only discrete measured point of HRTF database. In this paper, we propose the method of generating smooth moving sound in a two-channel based 3D sound technique with respect to generating smooth trajectory, and the interpolation method of discrete measured HRTF data. We perform the tests in the PC environment and prove the utility of the proposed method.

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지자기 전달함수의 로버스트 추정

  • Yang, Jun-Mo;O, Seok-Hun;Lee, Deok-Gi;Yun, Yong-Hun
    • Journal of the Korean Geophysical Society
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    • v.5 no.2
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    • pp.131-142
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    • 2002
  • Geomagnetic transfer function is generally estimated by choosing transfer to minimize the square sum of differences between observed values. If the error structure sccords to the Gaussian distribution, standard least square(LS) can be the estimation. However, for non-Gaussian error distribution, the LS estimation can be severely biased and distorted. In this paper, the Gaussian error assumption was tested by Q-Q(Quantile-Quantile) plot which provided information of real error structure. Therefore, robust estimation such as regression M-estimate that does not allow a few bad points to dominate the estimate was applied for error structure with non-Gaussian distribution. The results indicate that the performance of robust estimation is similar to the one of LS estimation for Gaussian error distribution, whereas the robust estimation yields more reliable and smooth transfer function estimates than standard LS for non-Gaussian error distribution.

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