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ON THE CONSTRUCTION AND THE EXISTENCE OF PARAMETRIC CUBIC$g^2$ B-SPLINE

  • Kimn, Ha-Jine
    • Communications of the Korean Mathematical Society
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    • v.10 no.2
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    • pp.483-490
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    • 1995
  • A parametric cubic spline interpolating at fixed number of nodes is constructed by formulating a parametric cubic $g^2$ B-splines $S_3(t)$ with not equally spaced parametric knots. Since the fact that each component is in $C^2$ class is not enough to provide the geometric smoothness of parametric curves, the existence of $S_3(t)$ oriented toward the modified second-order geometric continuity is focalized in our work.

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EVALUATION OF A NEW CLASS OF DOUBLE DEFINITE INTEGRALS

  • Gaboury, Sebastien;Rathie, Arjun Kumar
    • Communications of the Korean Mathematical Society
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    • v.32 no.4
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    • pp.979-990
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    • 2017
  • Inspired by the results obtained by Brychkov ([2]), the authors evaluate a large number of new and interesting double definite integrals. The results are obtained with the use of classical hypergeometric summation theorems and a well-known double finite integral due to Edwards ([3]). The results are given in terms of Psi and Hurwitz zeta functions suitable for numerical computations.

Code Development for Two-Dimensional Flow Visualization (객체지향형 2차원 유동 가시화 코드 개발)

  • Sah Jong-Youb;Huh Jun-Sung
    • Journal of computational fluids engineering
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    • v.8 no.1
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    • pp.30-37
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    • 2003
  • The post-processor for two-dimensional flow visualization has been developed by using OOP(object-oriented programming) of Visual C++. User-friendly GUI(graphic user interface) has been built on the base of MFC(Microsoft Foundation Class). The number and order of variables can be specified by user because the input style is the free-format. The new variable can be defined and added to the variable list by using the various operators and functions.

Fuzzy Linear Regression Model Using the Least Hausdorf-distance Square Method

  • Choi, Sang-Sun;Hong, Dug-Hun;Kim, Dal-Ho
    • Communications for Statistical Applications and Methods
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    • v.7 no.3
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    • pp.643-654
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    • 2000
  • In this paper, we review some class of t-norms on which fuzzy arithmetic operations preserve the shapes of fuzzy numbers and the Hausdorff-distance between fuzzy numbers as the measure of distance between fuzzy numbers. And we suggest the least Hausdorff-distance square method for fuzzy linear regression model using shape preserving fuzzy arithmetic operations.

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DEVELOPING NONINFORMATIVE PRIORS FOR THE FAMILIAL DATA

  • Heo, Jung-Eun;Kim, Yeong-Hwa
    • Journal of the Korean Statistical Society
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    • v.36 no.1
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    • pp.77-91
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    • 2007
  • This paper considers development of noninformative priors for the familial data when the families have equal number of offspring. Several noninformative priors including the widely used Jeffreys' prior as well as the different reference priors are derived. Also, a simultaneously-marginally-probability-matching prior is considered and probability matching priors are derived when the parameter of interest is inter- or intra-class correlation coefficient. The simulation study implemented by Gibbs sampler shows that two-group reference prior is slightly edge over the others in terms of coverage probability.

Nonlinear Approximations Using RBF Neural Networks (RBF 신경망을 이용한 비선형 근사)

  • 박주영
    • Journal of the Korean Institute of Intelligent Systems
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    • v.6 no.2
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    • pp.26-35
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    • 1996
  • In this paper, some fundamental problems concerning RBF(radial-basis-function) networks and approximation of functions are addressed. First, a comprehensive introduction to RBF networks is given with typical RBF networks classified into three classes. Next, sharp conditions are given under which continuous functions of a finite number of real variables can be approximated arbitrarily well by a certain class of RBF networks. Finally, a related result is given concerning the representation of functions in the form of distributed RBF networks.

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Analysis of Feedback Queues with Priorities

  • Hong, Sung-Jo;Hirayama, Tetsuji
    • Journal of Korean Institute of Industrial Engineers
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    • v.19 no.4
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    • pp.137-146
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    • 1993
  • We consider single server feedback queueing systems with priorities. In the model, there are J stations and job classes. Jobs of class i arrive at station i according to a Poisson process, and have a general service time distribution. We derive the generating functions of the number of jobs at each station just after a busy period and the formula for the mean sojourn time that a specific tagged job spends at station j from its arrival to departure from the system.

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Micromachining of Pyrex Class for Accelerometer (가속도 센서용 파이렉스 유리의 미세가공)

  • 김광현;최영현;최종순;박동삼;유우식
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2002.10a
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    • pp.268-273
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    • 2002
  • The mechanical etching technique has recently been developed to a powder blasting technique for various materials, capable of producing micro structures larger than 100$\mu\textrm{m}$. This paper describes the performance of powder blasting technique in micromachining of pyrex for the accelerometer sensor and the effect of the number of nozzle scanning and the stand-off distance on the erosion depth.

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Systolic Architecture Vitrual Output Queue with Weighted Round Robin Algorithm (WRR 알고리즘 지원 시스톨릭 구조 가상 출력 큐)

  • 조용권;이문기;이정희;이범철
    • Proceedings of the IEEK Conference
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    • 2002.06a
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    • pp.347-350
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    • 2002
  • In the input buffer switch system, VOQ(Virtual Output Queue) archives 100% throughput. The VOQ with the systolic architecture maintains an uniform performance regardless of a number of Packet class and output port, so that it doesn't have a limitation of scalability. In spite of these advantages, the systolic architecture VOQ is difficult to change sorting order In this paper, we Proposed a systolic architecture VOQ which support weighted round robin(WRR) algorithm to provide with flow control service.

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Decentralized Adaptive Controller Design for a Class of Interconnected Continuous Systems (일련의 상호연결된 연속시간 시스템에 대한 비집중적응 제어기의 설계)

  • Lyou, Joon;Kim, Byung-Yeun
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.29B no.10
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    • pp.53-58
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    • 1992
  • This paper presents a decentralized model reference adaptive control scheme for an interconnected linear system composed of a number of single-input single-output subsystems in which outgoing interactions pass through the measurement channel and are subjected to bounded external disturbances. The scheme can treat the unknown strength of interactions as well as uncertainties in subsystem dynamics, and allows for the case when the relative degree of each decoulped subsystem does not exceed two.

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