• Title/Summary/Keyword: Method of Moments

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Convergence studies on static and dynamic analysis of beams by using the U-transformation method and finite difference method

  • Yang, Y.;Cai, M.;Liu, J.K.
    • Structural Engineering and Mechanics
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    • v.31 no.4
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    • pp.383-392
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    • 2009
  • The static and dynamic analyses of simply supported beams are studied by using the U-transformation method and the finite difference method. When the beam is divided into the mesh of equal elements, the mesh may be treated as a periodic structure. After an equivalent cyclic periodic system is established, the difference governing equation for such an equivalent system can be uncoupled by applying the U-transformation. Therefore, a set of single-degree-of-freedom equations is formed. These equations can be used to obtain exact analytical solutions of the deflections, bending moments, buckling loads, natural frequencies and dynamic responses of the beam subjected to particular loads or excitations. When the number of elements approaches to infinity, the exact error expression and the exact convergence rates of the difference solutions are obtained. These exact results cannot be easily derived if other methods are used instead.

Improving Efficiency of the Moment Estimator of the Extreme Value Index

  • Yun, Seokhoon
    • Journal of the Korean Statistical Society
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    • v.30 no.3
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    • pp.419-433
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    • 2001
  • In this paper we introduce a method of improving efficiency of the moment estimator of Dekkers, Einmahl and de Haan(1989) for the extreme value index $\beta$. a new estimator of $\beta$ is proposed by adding the third moment ot the original moment estimator which is composed of the first two moments of the log-transformed sample data. We establish asymptotic normality of the new estimator and examine and adaptive procedure for the new estimator. The resulting adaptive estimator proves to be asymptotically better than the moment estimator particularly for $\beta$<0.

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A NON-MARKOVIAN EVOLUTION MODEL OF HIV POPULATION WITH BUNCHING BEHAVIOUR

  • Sridharan, V.;Jayshree, P.R.
    • Journal of applied mathematics & informatics
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    • v.5 no.3
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    • pp.785-796
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    • 1998
  • In this paper we propose a model of HIv population through method of phases with non-Markovian evolution of immi-gration. The analysis leads to an explicit differnetial equations for the generating functions of the total population size. The detection process of antibodies (against the antigen of virus) is analysed and an explicit expression for the correlation functions are provided. A measure of bunching is also introduced for some particular choice of parameters.

Analysis of Random Ship Rolling Using Partial Stochastic Linearization (통계적 부분선형화 방법을 이용한 선체의 불규칙 횡동요 운동의 해석)

  • Dong-Soo Kim;Won-Kyoung Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.1
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    • pp.37-41
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    • 1995
  • In order to analyze the rolling motion of a ship in random beam waves we use the partial stochastic linearization method. The quadratic damping and the nonlinear restoring moments given by the odd polynomials up to the 11th order are added to a single degree of freedom linear equation of roll motion. The irregular excitation moment is assumed to be the Gaussian white noise. The statistical characteristics of the response by the partial stochastic linearization method is compared with results by the equivalent linearization method and Monte Carlo simulation. It is fecund that the partial stochastic linearization method is not necessarily superior to the equivalent linearization method.

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A study on design for the $\pi$-junction of a feeder waveguide with an inductive wall using FDTD method (FDTD법을 이용한 유도성벽을 가지는 $\pi$분기 급전도파관의 설계에 관한 연구)

  • 민경식;김광욱;고지원;김동철;임학규
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2000.05a
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    • pp.143-146
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    • 2000
  • This paper presents a study on design for the k-junction of a feeder waveguide with an inductive wall using FDTD method. The feed structure consists of a single waveguide plated on the same layer as radiating waveguide and is characterized by the unit divider, railed a $\pi$-Junction. This $\pi$-Junction with an inductive wall splits part of the power into two branch waveguide through one coupling window, and can excite densely arrayed waveguide at equal phase and amplitude. The power dividing characteristics of a $\pi$ -Junction obtained by FDTD method are compared with one of Galerkin's method of moments. The scattering matrices a $\pi$ -junction calculated by FDTD method are realized.

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A Method to Reduce Moment due to Time-Dependent Behavior of Bride Piers (장기 거동을 고려한 교각의 모멘트 감소 기법)

  • Yang, In-Hwan;Kim, Hong-Gi
    • Proceedings of the Korea Concrete Institute Conference
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    • 2004.11a
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    • pp.73-76
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    • 2004
  • The short piers of bridge which is constructed by cantilever method may not be flexible enough to accommodate longitudinal movement of box girders. The constraint effects of longitudinal movement of box girders can introduce large stresses, and consequently large moments into short piers. This study is aimed at proposing a method to reduce moment of short piers in bridge constructed by cantilever method. Numerical analyses are carried out depending on the parameters such as control force and height of piers. Numerical results of the study represent that long-term moment of piers can be controlled effectively by employing the proposed method.

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Characteristics of Antenna Factor for Open Sleeve Dipole Antennas (슬리브 다이폴 안테나의 안테나 인자 특성)

  • Ju, Chang-Hyun;Park, Eun-Jung;Kim, Ki-Chai
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2005.11a
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    • pp.285-288
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    • 2005
  • This paper presents the characteristics of antenna factors for sleeve dipole antennas with a broad bandwidth. The coupled integral equations for the unknown current distributions on each elements are derived and solved by applying Galerkin's method of moments. The flatness of antenna factor is considered. with variation of the length and number of sleeve elements.

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IMPROVED UPPER BOUNDS OF PROBABILITY

  • Lee, Min-Young;Jo, Moon-Shik
    • Communications of the Korean Mathematical Society
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    • v.18 no.4
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    • pp.725-736
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    • 2003
  • Let $A_1,{\;}A_2,...,A_n$ be a sequence of events on a given probability space. Let $m_n$ be the number of those $A'_{j}s$ which occur. Upper bounds of P($m_n{\;}\geq{\;}1) are obtained by means of probability of consecutive terms which reduce the number of terms in binomial moments $S_2,n,S_3,n$ and $S_4,n$.

SPECTRAL RADIUS OF BIORTHOGONAL WAVELETS WITH ITS APPLICATION

  • Zou, Qingyun;Wang, Guoqiu;Yang, Mengyun
    • Journal of the Korean Mathematical Society
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    • v.51 no.5
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    • pp.941-953
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    • 2014
  • In this paper, a 2-circular matrix theory is developed, and a concept of spectral radius for biorthogonal wavelet is introduced. We propose a novel design method by minimizing the spectral radius and obtain a wavelet which has better performance than the famous 9-7 wavelet in terms of image compression coding.

Fundamental Magnetism of $Fe_3P$ Intermetallic Compound

  • Yun, Won-Seok;Kim, In-Gee
    • Proceedings of the Korean Magnestics Society Conference
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    • 2011.06a
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    • pp.134-135
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    • 2011
  • The fundamental properties of $Fe_3P$ intermetallic compound was investigated in terms of the FLAPW method within GGA. The FM state of $Fe_3P$ was found to be energetically more stable compared to the NM one. It is consistent with the experiment. In addition, the calculated magnetic moments of Fe atoms were calculated to be 2.367, 1.665, and 2.104 ${\mu}B$ for FeI, FeII, and FeIII atoms, respectively.

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