• 제목/요약/키워드: mathematical change

검색결과 882건 처리시간 0.03초

ASYMPTOTIC BEHAVIORS OF ALTERNATIVE JENSEN FUNCTIONAL EQUATIONS-REVISITED

  • Chung, Jaeyoung;Choi, Chang-Kwon
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제19권4호
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    • pp.409-421
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    • 2012
  • In this paper, using an efficient change of variables we refine the Hyers-Ulam stability of the alternative Jensen functional equations of J. M. Rassias and M. J. Rassias and obtain much better bounds and remove some unnecessary conditions imposed in the previous result. Also, viewing the fundamentals of what our method works, we establish an abstract version of the result and consider the functional equations defined in restricted domains of a group and prove their stabilities.

THE ZETA-DETERMINANTS OF HARMONIC OSCILLATORS ON R2

  • Kim, Kyounghwa
    • Korean Journal of Mathematics
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    • 제19권2호
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    • pp.129-147
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    • 2011
  • In this paper we discuss the zeta-determinants of harmonic oscillators having general quadratic potentials defined on $\mathbb{R}^2$. By using change of variables we reduce the harmonic oscillators having general quadratic potentials to the standard harmonic oscillators and compute their spectra and eigenfunctions. We then discuss their zeta functions and zeta-determinants. In some special cases we compute the zeta-determinants of harmonic oscillators concretely by using the Riemann zeta function, Hurwitz zeta function and Gamma function.

On Crossing Changes for Surface-Knots

  • Al Kharusi, Amal;Yashiro, Tsukasa
    • Kyungpook Mathematical Journal
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    • 제56권4호
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    • pp.1247-1257
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    • 2016
  • In this paper, we discuss the crossing change operation along exchangeable double curves of a surface-knot diagram. We show that under certain condition, a finite sequence of Roseman moves preserves the property of those exchangeable double curves. As an application for this result, we also define a numerical invariant for a set of surface-knots called du-exchangeable set.

기생저항변화를 고려한 DC/DC 컨버터 열화진단 (Diagnosis method of DC/DC converter aging based on parasitic resister)

  • 김태진;백주원;이병국;류명효;김철우
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 2003년도 춘계전력전자학술대회 논문집(1)
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    • pp.97-101
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    • 2003
  • In this paper, we propose a new diagnosis method of DC/UC converter aging. The method is based on parasitic resister change with aging process. we apply to on-line diagnosis of DC/DC converter because of observing not a device but a system. We present the mathematical analysis and experimental study.

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Canal Operation Simulation of Middle Route Project

  • Fan, Jie
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2008년도 학술발표회 논문집
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    • pp.26-32
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    • 2008
  • Middle Route Project, the largest water conveyance system in China delivers the water of Changjiang River to North China. In order to create canal operation simulation system, mathematical models are established based on the analysis of hydraulics about steady flow, unsteady flow, and check gate. By simulating the canal operation behavior, we improved the check gate control algorithm and predicted the change process of water surface and flow profile which is very valuable to actual canal operation.

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엔진제어의 수학적 모델 (A mathematical model of engine control)

  • 김유남;이윤우;박희철;조장원;우광방
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1988년도 한국자동제어학술회의논문집(국내학술편); 한국전력공사연수원, 서울; 21-22 Oct. 1988
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    • pp.214-218
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    • 1988
  • This paper suggests mathemathical engine model which can simulate generalized gasoline engine. Suggested engine model contains air/fuel inlet element, intake manifold, combustion, engine dynamics. In order to analyze a gasoline engine, physical characteristics of engine and steady state engine data should be controlled. In adaptation for abrupt change of circumstance or drive conditions, this model can analyze important physical phenomena in the intake manifold by computer simulation. This model can also evaluate statuses of drive under various working conditions precisely. Therfore, this model suggests basic datum to evaluate the engine system which are needed in designing and development of engine controller.

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A STUDY ON EFFECTIVE STATISTICS TEACHING USING SAS PROGRAM

  • Oh, Hyeyoung
    • Korean Journal of Mathematics
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    • 제16권4호
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    • pp.471-480
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    • 2008
  • As students with low basic knowledge of mathematics increase, they have had difficulties in studying statistics theory class. By using recent students' characteristics which prefer seeing directly and checking to thinking logically, we try to change the teaching method into teaching in the computer lab(SAS program). We investigate whether changing the teaching method has effects on students' achievements and interests or not. The purpose of this study is to grope for a better teaching and develop mathematics education's satisfaction and qualification.

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체분해성 고분자를 이용한 약물의 조절방출 (Controlled Drug Release Using Biodegradable Polymer)

  • 나재운;차월석;김선일
    • KSBB Journal
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    • 제5권4호
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    • pp.377-382
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    • 1990
  • The characteristics controlled drug release have been studied for biodegradable polymer matrix. Polymer matrix was prepared from glycerine, prednisolone and dextran. Mathematical analysis of the data showed that the release behavior actually conformed to the Higuchi's diffusion controlled model. The release time was increased as drug loading doses increased, whereas decreased as glycerine concentration increased. The release rate did not change by varying molecular weight of dextran.

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An Adaptive Receding Horizon Controller for the Nuclear Steam Generator Water Level

  • Na, Man-Gyun;Sim, Young-Rok
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2002년도 ITC-CSCC -3
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    • pp.1479-1482
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    • 2002
  • In this work, a recursive parameter estimation algorithm estimates the mathematical model of steam generators every time step and a receding horizon controller is designed by using this estimated linear steam generator model of which parameters change as time goes on. It was shown through application to a linear model of steam generator that the proposed controller has good performance.

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NUMBER OF VERTICES FOR POLYGONAL FUNCTIONS UNDER ITERATION

  • Li, Lin
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제14권2호
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    • pp.99-109
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    • 2007
  • Being complicated in computation, iteration of a nonlinear 1-dimensional mapping makes many interesting problems, one of which is about the change of the number of vertices under iteration. In this paper we investigate iteration of polygonal functions which each have only one vertex and give conditions under which the number of vertices either does not increase or has a bound under iteration.

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