• 제목/요약/키워드: Semi-decomposition

검색결과 84건 처리시간 0.025초

ANALYTICAL SOLUTION OF SINGULAR FOURTH ORDER PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS OF VARIABLE COEFFICIENTS BY USING HOMOTOPY PERTURBATION TRANSFORM METHOD

  • Gupta, V.G.;Gupta, Sumit
    • Journal of applied mathematics & informatics
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    • 제31권1_2호
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    • pp.165-177
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    • 2013
  • In this paper, we apply Homotopy perturbation transform method (HPTM) for solving singular fourth order parabolic partial differential equations with variable coefficients. This method is the combination of the Laplace transform method and Homotopy perturbation method. The nonlinear terms can be easily handled by the use of He's polynomials. The aim of using the Laplace transform is to overcome the deficiency that is mainly caused by unsatisfied conditions in other semi-analytical methods such as Homotopy perturbation method (HPM), Variational iteration method (VIM) and Adomain Decomposition method (ADM). The proposed scheme finds the solutions without any discretization or restrictive assumptions and avoids the round-off errors. The comparison shows a precise agreement between the results and introduces this method as an applicable one which it needs fewer computations and is much easier and more convenient than others, so it can be widely used in engineering too.

VIJH SURFACE PHOTOMETRY OF NGC 4314

  • ANN HONG BAE
    • 천문학회지
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    • 제32권2호
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    • pp.83-89
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    • 1999
  • We have conducted a V, I, J, and H surface photometry of a barred galaxy NGC 4314 to analyze the morphology and luminosity distribution of the galaxy. By applying a semi two-dimensional profile decomposition method, we derived the luminosity fractions and the scale lengths of the three distinct components, bulge, disk, and bar: $L_b {\approx}0.35,\;L_d{\approx}0.35,\;L_{bar}{\approx}0.30,\;r_e{\approx}22",\;r_o {\approx} 50"$, and a $\approx$ 60". The bulge of NGC 4314 seems to be triaxial due to the isophotal twists but its luminosity distribution is well approximated by the $r^{1/4}$-law.

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전자빔 용접에서 SVD을 이용한 온라인 모니터링 (On-line Monitoring Using SVD in a Electron Beam Welding)

    • Journal of Welding and Joining
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    • 제18권1호
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    • pp.97-103
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    • 2000
  • Time series analysis results show the SVD is a candidate of on-line monitoring of welding penetration when the covariance matrix of a full penetration is used as a mapping function. As the reconstructed embedding vectors from the chaotic scalar time series are manipulated by the covariance matrix, the mapped tim series lie on a hyper-ellipsoid which the lengths of semi-axes are the squared eigenvalues of the covariance matrix in the case of full penetration. These visualize by two dimensional stroboscope views. The other cases like partial penetration, are different in the sense of sizes and shapes. Here we test two types of time series; the ion current and the X-ray. The ion current is better than the X-ray as an on-line monitoring signal, because the difference of the eigenvalue spectrum of the ion(between the pull penetration and partial penetration) is bigger than those of the X-ray.

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비대칭 보에 의해 보강된 등방성 평판의 음향방상에 관한 연구 (A study on sound radiation from isotropic plates stiffened by unsymmetrical beams)

  • 김택현;오택열;김종태
    • 대한기계학회논문집A
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    • 제22권4호
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    • pp.753-761
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    • 1998
  • The determination of sound pressure radiated from periodic plate structures is fundamental in the estimation of noise level in aircraft fuselages or ship hull structures. As a robust approach to this problem, here a very general and comprehensive analytical model is developed for predicting the sound radiated by a vibrating plate stiffened by periodically spaced orthogonal unsymmetrical beams subjected to a sinusoidally time varying point load. The plate is assumed to be infinite in extent, and the beams are considered to exert both line force and moment reactions on it. Using this theoretical model, the sound pressure levels on axis in a semi-infinited fluid (water) bounded by the plate were calculated using three numerical tools such as the Gauss-Jordan method, the LU decomposition method and the IMSL numberial package. Especially, the variation in the sound pressure levels and their modes were investigated according to the change in frequency, bay spacing and bay distance.

ON p-HYPONORMAL OPERATORS ON A HILBERT SPACE

  • Cha, Hyung-Koo
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제5권2호
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    • pp.109-114
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    • 1998
  • Let H be a separable complex H be a space and let (equation omitted)(H) be the *-algebra of all bounded linear operators on H. An operator T in (equation omitted)(H) is said to be p-hyponormal if ($T^{\ast}T)^p - (TT^{\ast})^{p}\geq$ 0 for 0 < p < 1. If p = 1, T is hyponormal and if p = $\frac{1}{2}$, T is semi-hyponormal. In this paper, by using a technique introduced by S. K. Berberian, we show that the approximate point spectrum $\sigma_{\alpha p}(T) of a pure p-hyponormal operator T is empty, and obtains the compact perturbation of T.

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변수 불확실성과 시변 시간지연을 가지는 특이시스템의 지연 종속 강인 비약성 안정화 (Delay-dependent Robust and Non-fragile Stabilization for Descriptor Systems with Parameter Uncertainties and Time-varying Delays)

  • 김종해
    • 전기학회논문지
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    • 제57권10호
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    • pp.1854-1860
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    • 2008
  • In this paper, we deal with the problem of delay-dependent robust and non-fragile stabilization for descriptor systems with parameter uncertainties and time-varying delays on the basis of strict LMI(linear matrix inequality) technique. Also, the considering controller is composed of multiplicative uncertainty. The delay-dependent robust and non-fragile stability criterion without semi-definite condition and decomposition of system matrices is obtained. Based on the criterion, the problem is solved via state feedback controller, which guarantees that the resultant closed-loop system is regular, impulse free and stable in spite of all admissible parameter uncertainties, time-varying delays, and controller fragility. Numerical examples are presented to demonstrate the effectiveness of the proposed method.

Fullerene과 Polyaniline을 이용한 유기 Peltier소자의 개발 (Preparation of Organic Peltier using Fullerene/Polyaniline)

  • 이채정;김주용
    • 한국신재생에너지학회:학술대회논문집
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    • 한국신재생에너지학회 2007년도 춘계학술대회
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    • pp.343-345
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    • 2007
  • Temperature difference between two plates occurs when a current is passed though two semi-conductors that are connected each other at two junctions. The current drives a transfer of heat from one junction to the other. In this study, the thermoelectric module based on th "Peltier effect" was made by combing fullerene and polyaniline. Continuous temperature measurements on both surfaces were performed at room temperature($25.4^{\circ}C$) by an infrared non-contact thermometer. The results showed that cool ing effect of $2.2^{\circ}C$ was attained by 30 seconds, after which the effect was continuously vanished mainly due to electro decomposition.

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가스하이드레이트 구조 변형을 통한 메탄 저장에 관한 연구 (Study of Methane Storage through Structure Transition of Gas Hydrate)

  • 이주동;이만식;김영석
    • 한국신재생에너지학회:학술대회논문집
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    • 한국신재생에너지학회 2006년도 추계학술대회
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    • pp.54-57
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    • 2006
  • Structure H formation experiments were conducted in a semi-batch stirred vessel using methane as the small guest substance and neohexane(NH), tert-butylmethylether(TBME) and methylcyclohexane(MCH) as the large molecule guest substance (LMGS). The results indicate that the rates of gas uptake and induction times are generally dependent on the magnitude of the driving force. When tert-butyl methyl ether is used as the LMGS rapid hydrate formation, much smaller induct ion time and rapid decomposition can be achieved. Liquid-liquid equilibrium (LLE) data for the above LMGS with water have been measured under atmospheric pressure at 275.5, 283.15K, and 298.15K. It was found that TBME is the most water soluble followed by NM and MCH. The solubility of water in the non-aqueous liquid was found to increase in the following order: MCH

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전장 설계 자동화를 위한 동시공학 시스템 (Concurrent Engineering System for an Automation of Wiring Harness Design)

  • 이수홍;최두선
    • 한국자동차공학회논문집
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    • 제4권2호
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    • pp.32-49
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    • 1996
  • An approach to providing computational support for concurrent design is discussed in the context of an automobile wiring harness design problem. Key issues include the development of an architecture that supports collaboration among specialists, the development of hierarchical representations that capture different characteristics of the design, and decomposition of tasks to achieve a tradeoff between efficiency and robustness of the system. We present an architecture in which the main design tasks are supported by agents-asynchronous and semi-autonomous modules that automate routine design tasks and provide specialized interfaces for working on particular aspects of the design. The agent communication and coordination mechanisms permit members of an engineering team to work concurrently, at different levels of detail and of different versions of the design. The design is represented hierarchically, with detailed models maintained by the participating agents. In conjunction with the architecture and design representations, issues pertaining to the exchange of information among different views of the design, management of dependencies and constraints, and propagation of design changes are discussed.

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Conformally invariant tensors on hermitian manifolds

  • Matsuo, Koji
    • 대한수학회보
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    • 제33권3호
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    • pp.455-463
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    • 1996
  • In [3] and [4], Kitahara, Pak and the author obtained the conformally invariant tensor $B_0$, which is an algebraic Hermitian analogue of the Weyl conformal curvature tensor W in the Riemannian geometry, by the decomposition of the curvature tensor H of the Hermitian connection and the notion of semi-curvature-like tensors of Tanno (see[7]). In [5], the author defined a conformally invariant tensor $B_0$ on a Hermitian manifold as a modification of $B_0$. Moreover he introduced the notion of local conformal Hermitian-flatness of Hermitian manifolds and proved that the vanishing of this tensor $B_0$ together with some condition for the scalar curvatures is a necessary and sufficient condition for a Hermitian manifold to be locally conformally Hermitian-flat.

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