• Title/Summary/Keyword: $Theta^*$

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SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 IN A COMPLEX HYPERBOLIC SPACE

  • KI, U-HANG;LEE, SEONG-BAEK;LEE, AN-AYE
    • Honam Mathematical Journal
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    • v.23 no.1
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    • pp.91-111
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    • 2001
  • In this paper we prove the following : Let M be a semi-invariant submanifold with almost contact metric structure (${\phi}$, ${\xi}$, g) of codimension 3 in a complex hyperbolic space $H_{n+1}{\mathbb{C}}$. Suppose that the third fundamental form n satisfies $dn=2{\theta}{\omega}$ for a certain scalar ${\theta}({\leq}{\frac{c}{2}})$, where ${\omega}(X,\;Y)=g(X,\;{\phi}Y)$ for any vectors X and Y on M. Then M has constant eigenvalues correponding the shape operator A in the direction of the distinguished normal and the structure vector ${\xi}$ is an eigenvector of A if and only if M is locally congruent to one of the type $A_0$, $A_1$, $A_2$ or B in $H_n{\mathbb{C}}$.

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Exploiting a Statistical Threshold for Efficiently Identifying Correlated Pairs

  • Kim, Myoung-Ju;Park, Hee-Chang
    • Journal of the Korean Data and Information Science Society
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    • v.19 no.2
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    • pp.551-558
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    • 2008
  • Association rule mining searches for interesting relationships among items in a given database. Association rules are frequently used by retail stores to assist in marketing, advertising, floor placement, and inventory control. There are three primary quality measures for association rule, support and confidence and lift. If there is many item in the association rule, much time is required. Xiong(2004) studies new method which is to compute the support of upper. They used support of upper to the $^{\theta}$. But $^{\theta}$ is subjective. In this paper, we present statistical objective criterion for efficiently identifying correlated pairs.

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Electric Properties of LB Films using Impedance Analysis of Quartz Crystal (수정진동자의 임피던스 해석에 의한 LB막의 전기적 특성)

  • Jin, Cheol-Nam;Kim, Gyeong-Hwan;Yu, Seung-Yeop;Gwon, Yeong-Su
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.48 no.7
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    • pp.503-507
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    • 1999
  • Quartz crystal in contact with viscoelastic medium was described directly in terms of the electrical equivalent circuit of the system. Stearic acid was used as viscoelastic medium and deposited on the surface of quartz crystal using the Langmuir-Blodgett(LB) method. Impedance properties of quartz crystal coated with LB films which were investigated by using admittance diagram and $Ζ-\theta$ plot a method of impedance analysis. When stearic acid LB film was deposited on the surface of quartz crystal, resonant frequency of quartz crystal was changed about 100 Hz/layer. This result illustrates the ability of the sensor system to detect small amounts of special gas in air.

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ON THE INFINITE PRODUCTS DERIVED FROM THETA SERIES I

  • Kim, Dae-Yeoul;Koo, Ja-Kyung
    • Journal of the Korean Mathematical Society
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    • v.44 no.1
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    • pp.55-107
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    • 2007
  • Let k be an imaginary quadratic field, h the complex upper half plane, and let $\tau{\in}h{\cap}k,\;q=e^{{\pi}i\tau}$. In this article, we obtain algebraic numbers from the 130 identities of Rogers-Ramanujan continued fractions investigated in [28] and [29] by using Berndt's idea ([3]). Using this, we get special transcendental numbers. For example, $\frac{q^{1/8}}{1}+\frac{-q}{1+q}+\frac{-q^2}{1+q^2}+\cdots$ ([1]) is transcendental.

Adaptive Intelligent Control of Inverted Pendulum Using Immune Fuzzy Fusion

  • Kim, Dong-Hwa
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.2372-2377
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    • 2003
  • Nonlinear dynamic system exist widely in many types of systems such as chemical processes, biomedical processes, and the main steam temperature control system of the thermal power plant. Up to the present time, PID Controllers have been used to operate these systems. However, it is very difficult to achieve an optimal PID gain with no experience, because of the interaction between loops and gain of the PID controller has to be manually tuned by trial and error. This paper suggests control approaches by immune fuzzy for the nonlinear control system inverted pendulum, through computer simulation. This paper defines relationship state variables $x,{\dot{x}},{\theta},\dot{\theta}$ using immune fuzzy and applied its results to stability.

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The Intelligent Algorithm for sweet spot (ICCAS 2003)

  • Lim, Sung-Jin;Jung, Kyung-Kwon;Eom, Ki-Hwan;Onodera, Sosuke;Sato, Yoichi
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1763-1766
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    • 2003
  • Millimeter-wave networking is composed of narrow beam link. it is very substantial that beam connecting point to point is fixed in right direction. It is major requirement in the beam network to keep the beam in best direction. In this paper, We propose the method to find a best suited direction of the antenna's beam using the Genetic Algorithm (GA) in point-to-point link. Proposed method presume that each station knows his direction ${\theta}_1$ , ${\theta}_2$ at every step of GA, then it can be expected that GA is possible to search the ideal solution. Intensity of the received signal is evaluated by the multiplication of lengths to the point which the lobe meets with the horizontal line.

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