• Title/Summary/Keyword: open set

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Topological Analysis of DC Motor Driving by John's Chopper Circuit

  • Won, Chung-Yun;Hwang, Hee-Yeong
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1979년도 하계 전자.전기연합학술발표회논문집
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    • pp.138-141
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    • 1979
  • The purpose of this paper is to develop an efficient model for the analysis of a John's Chopper Circuit. In the John's Chopper Circuit analysis, the open branches are removed from the associated graph to formulate the modified incidence matrix. An algorithm for the generation of a modified proper tree and fundamental cut set matrix from a network graph is developed, which utilizes much less computer storage space and computation time compared to the classical methods.

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ON THE C-NETS

  • Lee, Seung On;Pi, Young Jin;Oh, Ji Hyun
    • 충청수학회지
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    • 제23권1호
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    • pp.109-117
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    • 2010
  • In this paper, we define the concept of a c-net and study the convergence of c-nets. Also we show that a c-net in a topological space X has a convergent sub-c-net if and only if X is a $Lindel{\ddot{o}}f$ space, if every $G_{\delta}$ set is open in X.

RADO'S AND POPONOV'S INEQUALITIES OF PROBABILITY MEASURES FOR POSITIVE REAL NUMBERS

  • Lee, Hosoo;Kim, Sejong
    • 충청수학회지
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    • 제27권2호
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    • pp.165-172
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    • 2014
  • In this paper, we derive some valuable inequalities of Rado's and Poponov's types on the open interval of positive real numbers, and then show weighted generalizations of Rado's and Poponov's inequalities on the set of positive real numbers equipped with compactly supported probability measure.

Distributivity of fuzzy numbers under t-norm based fuzzy arithmetic operations

  • Hong, Dug-Hun
    • Journal of the Korean Data and Information Science Society
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    • 제14권1호
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    • pp.93-101
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    • 2003
  • Computation with fuzzy numbers is a prospective branch of a fuzzy set theory regarding the data processing applications. In this paper we consider an open problem about distributivity of fuzzy quantities based on the extension principle suggested by Mare (1997). Indeed, we show that the distributivity on the class of fuzzy numbers holds and min-norm is the only continuous t-norm which holds the distributivity under t-norm based fuzzy arithmetic operations.

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ON THE INTERMEDIATE DIFFERENTIABILITY OF LIPSCHITZ MAPS BETWEEN BANACH SPACES

  • Lee, Choon-Ho
    • Journal of applied mathematics & informatics
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    • 제27권1_2호
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    • pp.427-430
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    • 2009
  • In this paper we introduce the intermediate differential of a Lipschitz map from a Banach space to another Banach space and prove that every locally Lipschitz function f defined on an open subset ${\Omega}$ of a superreflexive real Banach space X to a finite dimensional Banach space Y is uniformly intermediate differentiable at every point ${\Omega}/A$, where A is a ${\sigma}$-lower porous set.

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HARMONIC KAHLER FORMS ON HYPERKAHLER MANIFOLDS

  • Park, Kwang-Soon
    • 대한수학회논문집
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    • 제18권3호
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    • pp.515-519
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    • 2003
  • Let M be a hyperkahler manifold with the hyperkahler structure (g, I, J, K). In [5], D. Huybrechts suggests that it is an open and interesting question whether any Kahler class that stays Kahler in the twister family can actually be represented by an harmonic Kahler form. In this paper we will consider both this problem and the set of all the primitive harmonic Kahler forms on M.

An Exponentialization Procedure for General FMS Network of Queues with Limited Buffer

  • Lee, Ho-Chang
    • 한국경영과학회지
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    • 제19권3호
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    • pp.203-217
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    • 1994
  • In this paper we develop an exponentialization procedure for the modelling of open FMS networks with general processing time at each station and limited buffer size. By imposing a reasonable assumption on the solution set, the nonlinear equation system for the exponentialization procedure is formulated as a variational inequality problem and the solution existence is examined. The efficient algorithm for the nonlinear equation system is developed using linearized Jacobi approximation method.

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EXISTENCE OF NONTRIVIAL SOLUTIONS OF A NONLINEAR BIHARMONIC EQUATION

  • Jin, Yinghua;Choi, Q-Heung;Wang, Xuechun
    • Korean Journal of Mathematics
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    • 제17권4호
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    • pp.451-460
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    • 2009
  • We consider the existence of solutions of a nonlinear biharmonic equation with Dirichlet boundary condition, ${\Delta}^2u+c{\Delta}u=f(x, u)$ in ${\Omega}$, where ${\Omega}$ is a bounded open set in $R^N$ with smooth boundary ${\partial}{\Omega}$. We obtain two new results by linking theorem.

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ON BROWDER'S THEOREM

  • Lee, Dong Hark
    • Korean Journal of Mathematics
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    • 제10권1호
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    • pp.11-17
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    • 2002
  • In this paper we give several necessary and sufficient conditions for an operator on the Hilbert space to obey Browder's theorem. And it is shown that if S has totally finite ascent and $T{\prec}S$ then $f(T)$ obeys Browder's theorem for every $f{\in}H({\sigma}(T))$, where $H({\sigma}(T))$ denotes the set of all analytic functions on an open neighborhood of ${\sigma}(T)$.

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