• Title/Summary/Keyword: Continuous function

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FUZZY D-CONTINUOUS FUNCTIONS

  • Akdag, Metin
    • East Asian mathematical journal
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    • v.17 no.1
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    • pp.1-17
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    • 2001
  • In this paper, fuzzy D-continuous function is defined. Some basic properties of this continuity are summarized; and sufficient conditions on domain and/or ranges implying fuzzy D-continuity of fuzzy D-continuous functions are given. Also fuzzy D-regular space is defined and by using fuzzy D-continuity, the condition which is equivalent to fuzzy D-regular space, is given.

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Piecewise Continuous Linear Density Estimator

  • Jang, Dae-Heung
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.4
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    • pp.959-968
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    • 2005
  • The piecewise linear histogram can be used as a simple and efficient tool for the density estimator. But, this piecewise linear histogram is discontinuous function. We suppose the piecewise continuous linear histogram as a simple and efficient tool for the density estimator and the alternative of the piecewise linear histogram.

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NUMERICAL SOLUTION OF STOCHASTIC DIFFERENTIAL EQUATION CORRESPONDING TO CONTINUOUS DISTRIBUTIONS

  • Amini, Mohammad;Soheili, Ali Reza;Allahdadi, Mahdi
    • Communications of the Korean Mathematical Society
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    • v.26 no.4
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    • pp.709-720
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    • 2011
  • We obtain special type of differential equations which their solution are random variable with known continuous density function. Stochastic differential equations (SDE) of continuous distributions are determined by the Fokker-Planck theorem. We approximate solution of differential equation with numerical methods such as: the Euler-Maruyama and ten stages explicit Runge-Kutta method, and analysis error prediction statistically. Numerical results, show the performance of the Rung-Kutta method with respect to the Euler-Maruyama. The exponential two parameters, exponential, normal, uniform, beta, gamma and Parreto distributions are considered in this paper.

Discrete Sizing Design of Truss Structure Using an Approximate Model and Post-Processing (근사모델과 후처리를 이용한 트러스 구조물의 이산 치수설계)

  • Lee, Kwon-Hee
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.19 no.5
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    • pp.27-37
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    • 2020
  • Structural optimization problems with discrete design variables require more function calculations (or finite element analyses) than those in the continuous design space. In this study, a method to find an optimal solution in the discrete design of the truss structure is presented, reducing the number of function calculations. Because a continuous optimal solution is the Karush-Kuhn-Tucker point that satisfies the optimality condition, it is assumed that the discrete optimal solution is around the continuous optimum. Then, response values such as weight, displacement, and stress are predicted using approximate models-referred to as hybrid metamodels-within specified design ranges. The discrete design method using the hybrid metamodels is used as a post-process of the continuous optimization process. Standard truss design problems of 10-bar, 25-bar, 15-bar, and 52-bar are solved to show the usefulness of this method. The results are compared with those of existing methods.

The imitation patterns of adults and children on f0 intervals in North Kyungsang Korean

  • Kim, Jungsun
    • Phonetics and Speech Sciences
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    • v.11 no.2
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    • pp.23-31
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    • 2019
  • The present study examines whether pitch range variation in North Kyunsang Korean shows a categorical or continuous function. Specifically, the study is focused on the data imitated by adults and children in the North Kyungsang region. To investigate pitch range variation, the log-produced f0 intervals were measured and statistically analyzed. The results of the study are as follows. First, both the adults' and children's imitations were more categorical than continuous, especially for the HL-LH patterns. For the other pitch accent patterns, such as HH-HL and HH-LH, the curves were continuous or flat for most of the speakers. Second, the children's imitations were poorer than those of the adults. That is, the children's imitative responses were shown as more continuous or flat curves than categorical. For the children, the HL-LH pattern showed a categorical function at the midpoint of the curves, though the shifts were not as distinctive as the adults' data. This implies that the imitative responses of children follow the perceptual and productive trace of adults' speech behavior.

An Historical Investigation of the Historical Developments of the Concept of Continuous Functions (함수의 연속성 개념의 역사적 발달 과정 분석 - 직관적 지도의 보완을 중심으로 -)

  • Joung, Youn-Joon;Kim, Jae-Hong
    • Journal of Educational Research in Mathematics
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    • v.23 no.4
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    • pp.567-584
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    • 2013
  • In school mathematics, the concept of continuous functions has been intuitively taught. Many researches reported that many students identified the continuity of function with the connectedness of the graphs. Several researchers proposed some ideas which are enhancing the formal aspects of the definition as alternative. We analysed the historical developments of the concept of continuous functions and drew pedagogical implications for the intuitive teaching of continuous functions from the result of analysis.

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ON FUZZY ALMOST S-CONTINUOUS FUNCTIONS

  • Cho, Sung Ki
    • Korean Journal of Mathematics
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    • v.4 no.2
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    • pp.95-100
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    • 1996
  • In this note, the notion of fuzzy almost s-continuity is introduced and some results related to this notion are obtained.

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Switching Control for End Order Nonlinear Systems by Avoiding Singular Manifolds (특이공간 회피에 의한 2차 비선형 시스템의 스위칭 제어기 설계)

  • Yeom, D.H.;Im, K.H.;Choi, J.Y.
    • Proceedings of the KIEE Conference
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    • 2003.11b
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    • pp.315-318
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    • 2003
  • This paper proposes a switching control method applicable to any affine, 2nd order nonlinear system with single input. The key contribution is to develop a control design method which uses a piecewise continuous Lyapunov function non-increasing at every discontinuous point. The proposed design method requires no restrictions except full state availability. To obtain a non-increasing, piecewise continuous Lyapunov function, we change the sign of off-diagonal term s of the positive definite matrix composing the former Lyapunov function according to the sign of the Inter-connection term. And we use the solution of inequalities which guarantee each Lyapunov function is non-increasing at any discontinuous point.

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