• Title/Summary/Keyword: Residual space

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ON HIGHER ORDER IRREGULAR SETS

  • Li, Jinjun;Wu, Min
    • Journal of the Korean Mathematical Society
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    • v.54 no.1
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    • pp.87-99
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    • 2017
  • To indicate the statistical complexity of dynamical systems, we introduce the notions of higher order irregular set and higher order maximal Birkhoff average oscillation in this paper. We prove that, in the setting of topologically mixing Markov chain, the set consisting of those points having maximal k-order Birkhoff average oscillation for all positive integers k is as large as the whole space from the topological point of view. As applications, we discuss the corresponding results on a repeller.

Fabrication of 70nm-sized metal patterns on flexible PET Film using nanoimprint lithography

  • Lee, Heon;Lee, Jong-Hwa
    • 한국정보디스플레이학회:학술대회논문집
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    • 2007.08b
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    • pp.1119-1120
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    • 2007
  • Nano-sized metal patterns were successfully fabricated on flexible PET substrate using nanoimprint lithography. 70nm line and space PMMA resist pattern was formed on PET substrate without residual layer by 'artial filling effect' and 20nm thin Cr metal layer was deposited by e-beam evaporation. Then, PMMA resist was selectively removed by acetone and 70nm narrow Cr pattern was formed.

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A POSTERIORI ERROR ESTIMATOR FOR LINEAR ELASTICITY BASED ON NONSYMMETRIC STRESS TENSOR APPROXIMATION

  • Kim, Kwang-Yeon
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.16 no.1
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    • pp.1-13
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    • 2012
  • In this paper we present an a posteriori error estimator for the stabilized P1 nonconforming finite element method of the linear elasticity problem based on a nonsymmetric H(div)-conforming approximation of the stress tensor in the first-order Raviart-Thomas space. By combining the equilibrated residual method and the hypercircle method, it is shown that the error estimator gives a fully computable upper bound on the actual error. Numerical results are provided to confirm the theory and illustrate the effectiveness of our error estimator.

Finite Dimensional Compensator Design for a Class of Infinite Dimensional Systems (무한 차원 시스템을 위한 유한 차원 보상기의 설계)

  • 서진헌
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.37 no.6
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    • pp.414-421
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    • 1988
  • This paper is concerned with a design procedure for constructing finite dimensional compensators for a class of infinite dimensional aystems. Basically, this procedure consists of decomposing the state space of the basis of its modes and utilizing well-known finite dimensional algorithms for constructing observers and state feedback control laws. The finite dimensional observer dynamics is modified to account for the effect of the residual modes so as to achieve the stabelity of the closed loop system asymptotically.

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INVERSE MINIMUM FLOW PROBLEM

  • Ciurea, Eleonor;Deaconu, Adrian
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.193-203
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    • 2007
  • In this paper we consider the inverse minimum flow (ImF) problem, where lower and upper bounds for the flow must be changed as little as possible so that a given feasible flow becomes a minimum flow. A linear time and space method to decide if the problem has solution is presented. Strongly and weakly polynomial algorithms for solving the ImF problem are proposed. Some particular cases are studied and a numerical example is given.

Fabrication of 70nm-sized metal patterns on flexible PET Film using nanoimprint lithography

  • Lee, Heon;Lee, Jong-Hwa
    • Proceedings of the Korean Institute of Surface Engineering Conference
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    • 2007.04a
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    • pp.24-25
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    • 2007
  • Nano-sized metal patterns were successfully fabricated on flexible PET substrate using nanoimprint lithography. 70nm line and space PMMA resist pattern was formed on PET substrate without residual layer by "partial filling effect' and 20nm thin Cr metal layer was deposited by e-beam evaporation. Then, PMMA resist was selectively removed by acetone and 70nm narrow Cr pattern was formed.

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Inverse Design Method of Supersonic wings Using Intergral Equations (적분방정식을 이용한 초음속 날개의 역설계법)

  • Jeong, Sin Gyu;Kim, Gyeong Hun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.4
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    • pp.8-15
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    • 2003
  • A practical design method for supersonic wings has been developed. The method is based on Takanashi's method that uses integral equations and iterative "residual-correction" concept. The geometry correction is calculated by solving linearized small perturbation equation (LSP) with the difference between garget and objective surface pressure distributions as a boundary condition. In the present method, LSP equation is analytically transformed to integral equations by using the Green's theorem. Design results of an isolated wing and wing-nacelle configurations are presented here.

Output Feedback LQ control of a Space Robot in Discrete-Time (우주로봇의 이산시간 출력 귀환 LQ 제어)

  • 임승철
    • Journal of KSNVE
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    • v.6 no.5
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    • pp.567-574
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    • 1996
  • This paper concerns an articulated space robot with flexible links. The equations of its motion are derived by means of the Lagrangian mechanics. Assuming that magnitude of elastic motions are relatively small, the perturbation approach is taken to separate the original equations of motion into linear and nonlinear equations. Th effect the desired payload motion, open loop control inputs are first determined based on the nonlinear equations. One the other hand, in order to reduce the positional errors during the maneuver, vibration suppression is actively done with a feedforward control for disturbance cancellation to some extent. Additionally, for performance robustness against residual disturbance, an LQ control modified to have a prescribed degree of stability is applied based on the linear equations. Measurement equations are formulated to be used for the maximum likelihood estimator to reconstruct states from the original robot equations of motion. Finally, numerical simulations show effectiveness of the proposed control design scheme.

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An Evaluation of the Thoracotomy in Spontaneous Pneumothorax (개흉술을 시행하였던 자발성 기흉의 임상적 고찰)

  • An, Byeong-Hui;Jang, Won-Chae
    • Journal of Chest Surgery
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    • v.26 no.5
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    • pp.390-394
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    • 1993
  • This study elvaluated clinically the surgical results of the thirty-eight patients who had exploratory thoracotomy for spontaneous pneumothorax between Jan. 1989 and Nov. 1992. Thirty three, or 86.8%, of the patients were male. The most frequent age of the spontaneous pneumothorax requiring thoracotomy was between fifteen years and twenty years. Sudden onset dyspnea and chest pain, which developed in thirty-five patients[89.5%], were the major chief complaints. Bleb and Bulla located in the both upper lobes were the most frequent causes of spontaneous pneumothorax for exploratory thoracotomy. There was no operative death. Postoperative morbidity included three cases of residual air space in the apical pleural space, tow cases of atrial fibrillation, and one each case of reoperation for bleeding, mediasitinitis, and sternal osteomyelitis. All postoperative complications were treated without any serious problems. This study suggests that early exploratory thoracotmy is desirable for patients with prolonged air-leak, massive air-leak, or multiple blebs and giant bullae on the computed tomography of the chest.

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Clarification about Component Mode Synthesis Methods for Substructures with Physical Flexible Interfaces

  • Ohayon, R.;Soize, C.
    • International Journal of Aeronautical and Space Sciences
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    • v.15 no.2
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    • pp.113-122
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    • 2014
  • The objective of the paper is to clarify a methodology based on the use of the existing component mode synthesis methods for the case of two damped substructures which are coupled through a linking viscoelastic flexible substructure and for which the structural modes with free geometrical interface are used for each main substructure. The proposed methodology corresponds to a convenient alternative to the direct use either of the Craig-Bampton method applied to the three substructures (using the fixed geometric interface modes) or of the flexibility residual approaches initiated by MacNeal (using the free geometric interface modes). In opposite to a geometrical interface which is a topological interface on which there is a direct linkage between the degrees of freedom of substructures, we consider a physical flexible interface which exists in certain present technologies and for which the general framework linear viscoelasticity is used and yields a frequency-dependent damping and stiffness matrices of the physical flexible interface.