• Title/Summary/Keyword: Basic Theory

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Analysis of Nonlinear Resistive Networks (비선형저항(resistive)회로망의 해석)

  • Kyun Hyon Tchah
    • 전기의세계
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    • v.23 no.3
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    • pp.70-76
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    • 1974
  • Computer is used to analyze nonlinear networks. Integrated circuits and new nonlinear elements have generated much interest in nonlinear circuit theory. A key to the understanding and analysis of nonlinear circuits is the study of characteristics for nonlinear elements and nonlinear resistive networks both in theory and in computation. In this apper, an iteration method using cut set analysis for nonlinear dc analysis based on Branin's method is described. Application of this algorithm to solve two nonlinear problems, is presented and a possible method of improving the basic algorithm by means of a sparse matrix technique is described.

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Operations on Generalized Intuitionistic Fuzzy Soft Sets

  • Park, Jin-Han
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.11 no.3
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    • pp.184-189
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    • 2011
  • Generalized intuitionistic fuzzy soft set theory, proposed by Park et al. [Journal of Korean Institute of Intelligent Systems 21(3) (2011) 389-394], has been regarded as an effective mathematical tool to deal with uncertainties. In this paper, we prove that certain De Margan's law hold in generalized intuitionistic fuzzy soft set theory with respect to union and intersection operations on generalized intuitionistic fuzzy soft sets. We discuss the basic properties of operations on generalized intuitionistic fuzzy soft sets such as necessity and possibility. Moreover, we illustrate their interconnections between each other.

AN EXPLANATION ON TRANSIENT BRIGHTENING BY MAGNETIC RECONNECTION THEORY

  • LI BI-QIANG;LI XIAO-QING;AI GUO-XIANG
    • Journal of The Korean Astronomical Society
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    • v.29 no.spc1
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    • pp.299-301
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    • 1996
  • It. has been discovered that. active regions commonly have numerous flare-like transient. loop brightenings. We use a magnetic reconnection theory driven by a ponderamotive force on account. of the basic properties of a transient. brightening: lifetime a few mins, total energy $10^{25}\~10^{29}$ erg. The numerical results are consistent with the observations.

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An Investigative Study on EPC Theory Development (EPC 이론적 전개에 관한 조사연구)

  • 김종걸;정해운
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2000.04a
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    • pp.349-356
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    • 2000
  • EPC(Engineering process control) is usually applied to processes in which successive observations ate related over time and where the mean drifts dynamically. This paper aims to literature surrey concerned about EPC theory developments and their applications including macGregor model as Basic EPC model, feedback controllers, feedforward controllers, run-to-run controllers, MMSE controllers, PID model and PI adjustment model and so on. We suggest some perspective area for further study.

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Linear quadratic control problem of delay differential equation

  • Shim, Jaedong
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.208-213
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    • 1992
  • In this paper we are concerned with optimal control problems whose costs am quadratic and whose states are governed by linear delay equations and general boundary conditions. The basic new idea of this paper is to Introduce a new class of linear operators in such a way that the state equation subject to a starting function can be viewed as an inhomogeneous boundary value problem in the new linear operator equation. In this way we avoid the usual semigroup theory treatment to the problem and use only linear operator theory.

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MORSE INEQUALITIES FOR MANIFOLDS WITH BOUNDARY

  • Zadeh, Mostafa Esfahani
    • Journal of the Korean Mathematical Society
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    • v.47 no.1
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    • pp.123-134
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    • 2010
  • The aim of this paper is to provide a proof for a version of the Morse inequalities for manifolds with boundary. Our main results are certainly known to the experts on Morse theory, nevertheless it seems necessary to write down a complete proof for it. Our proof is analytic and is based on the J. Roe account of Witten's approach to Morse Theory.

The Characterization of Optimal Control Using Delay Differential Operator

  • Shim, Jaedong
    • Journal of the Chungcheong Mathematical Society
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    • v.7 no.1
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    • pp.123-139
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    • 1994
  • In this paper we are concerned with optimal control problems whose costs are quadratic and whose states are governed by linear delay differential equations and general boundary conditions. The basic new idea of this paper is to introduce a new class of linear operators in such a way that the state equation subject to a starting function can be viewed as an inhomogeneous boundary value problem in the new linear operator equation. In this way we avoid the usual semigroup theory treatment to the problem and use only linear operator theory.

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Recent developments of constructing adjacency matrix in network analysis

  • Hong, Younghee;Kim, Choongrak
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.5
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    • pp.1107-1116
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    • 2014
  • In this paper, we review recent developments in network analysis using the graph theory, and introduce ongoing research area with relevant theoretical results. In specific, we introduce basic notations in graph, and conditional and marginal approach in constructing the adjacency matrix. Also, we introduce the Marcenko-Pastur law, the Tracy-Widom law, the white Wishart distribution, and the spiked distribution. Finally, we mention the relationship between degrees and eigenvalues for the detection of hubs in a network.

A Note on Continued Fractions and Mock Theta Functions

  • Srivastava, Pankaj;Gupta, Priya
    • Kyungpook Mathematical Journal
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    • v.56 no.1
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    • pp.173-184
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    • 2016
  • Mock theta functions are the most interesting topic mentioned in Ramanujan's Lost Notebook, due to its emerging application in the field of Number theory, Quantum invariants theory and etc. In the present research articles we have made an attempt to develop continued fractions representation of all the existing Mock theta functions.