• Title/Summary/Keyword: $Theta^*$

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STRONG CONVERGENCE OF THE MODIFIED HYBRID STEEPEST-DESCENT METHODS FOR GENERAL VARIATIONAL INEQUALITIES

  • Yao, Yonghong;Noor, Muhammad Aslam
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.179-190
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    • 2007
  • In this paper, we consider the general variational inequality GVI(F, g, C), where F and g are mappings from a Hilbert space into itself and C is the fixed point set of a nonexpansive mapping. We suggest and analyze a new modified hybrid steepest-descent method of type method $u_{n+l}=(1-{\alpha}+{\theta}_{n+1})Tu_n+{\alpha}u_n-{\theta}_{n+1g}(Tu_n)-{\lambda}_{n+1}{\mu}F(Tu_n),\;n{\geq}0$. for solving the general variational inequalities. The sequence $\{x_n}\$ is shown to converge in norm to the solutions of the general variational inequality GVI(F, g, C) under some mild conditions. Application to constrained generalized pseudo-inverse is included. Results proved in the paper can be viewed as an refinement and improvement of previously known results.

Control of Flow-Induced Noise from a Round Jet using Active Excitation (능동 가진을 이용한 원형 제트에서의 유동 소음 제어)

  • Kim, Jung-Woo;Cha, Seong-Dae;Choi, Hae-Cheon
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.798-803
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    • 2003
  • The objective of the present study is to investigate the changes in the acoustic source characteristics and far-field noise propagation in an incompressible round jet at Re=10000 for single-frequency excitations using large eddy simulation and Lighthill acoustic analogy. We apply excitations at a frequency corresponding to the jet-column mode ($St_{D}=0.85$) or maximum growth rate in the shear layer ( $St_{\theta}=0.017$ ). The acoustic source derived from the Lighthill acoustic analogy is the second spatial derivative of the Reynolds stresses. In the case of $St_{D}=0.85$, vortex ring and large scale structures are dominant sources, whereas in the case of $St_{\theta}=0.017$, the main sources are located at an upstream position along the shear layer than in the uncontrolled case. Also, the far-field noise propagates along the axial direction due to excitation.

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Waveform Coding for Anti-Multipath Mod/Demodulation Systems (내다중파변복조 방식을 위한 파형부호화)

  • 이정재
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.9
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    • pp.1323-1331
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    • 1993
  • In this paper, novel anti-multipath mod/demodulation techniques are introduced, The principal anti-multipath concepts of the double phase shift keying(DSK) system with a differntial detector and the diversity effect to be obtained from the phase shifts at the middle of symbol duration T are described. A generalized form of DSK, referred to as the $\theta$-DSK, is studied, and comparison of bandwidth is mode for various values of $\theta$ and shaping functions.

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Properties of CoCrTa Thin Film Introduce Two Step methode and Amorphous Si Under Layer for Perpendicular Magnetic Recording Media (Two Step방식과 아몰퍼스 Si 하지층 도입에 따른 수직자기기록 매체용 CoCrTa 박막의 특성 평가)

  • Park, Won-Hyo;Kim, Kyung-Hwan
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2003.07a
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    • pp.550-552
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    • 2003
  • We prepared $Co_{77}Cr_{20}Ta_3$ Magnetic layer for perpendicular magnetic recording media with introduce Two-step methode and Amorphous Si Underlayer on slide glass substrate. The thickness of magnetic layer were 100nm, and Underlayer were varied from 5 to 100 nm. The multi layer Properties of crystal structure were examined with XRD. Prepared thin films showed improvement of dispersion angle of c-axis orientation ${\Delta}{\theta}_{50}$ caused by inserting Buffer-layer and amorphous Si underlayer.

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ZETA FUNCTIONS AND COEFFICIENTS OF AN ASYMPTOTIC EXPANSION OF logDet FOR ELLIPTIC OPERATORS WITH PARAMETER ON COMPACT MANIFOLDS

  • Lee, Yoonweon
    • Korean Journal of Mathematics
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    • v.7 no.2
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    • pp.159-166
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    • 1999
  • For classical elliptic pseudodifferential operators $A({\lambda})$ of order $m$ > 0 with parameter ${\lambda}$ of weight ${\chi}$ > 0, it is known that $logDet_{\theta}A({\lambda})$ admits an asymptotic expansion as ${\theta}{\rightarrow}+{\infty}$. In this paper we show, with some assumptions, that the coefficients of ${\lambda}^-{\frac{n}{\chi}}$ can be expressed by the values of zeta functions at 0 for some elliptic ${\psi}$DO's on $M{\times}S^1{\times}{\cdots}{\times}S^1$ multiplied by $\frac{m}{c_{n-1}}$.

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광학산업 로드맵-f-$\theta$ 렌즈 광학계

  • Korea Optical Industry Association
    • The Optical Journal
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    • no.5 s.115
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    • pp.66-67
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    • 2008
  • 국내 광산업은 80년대 카메라, 복사기 등 결상기기 중심에서 90년대 이후에는 결상기기와 더불어 레이저 가공기, 광정보기기, 광통신기기 등 광응용기기로 확대 되고 있다. 2005년 기준으로 볼 때 국내 광산업은 세계시장에 약 5,5%를 차지했으며, 정밀 광산업 기술로드맵과 직접 관련되는 광정밀기기, 광정보기기, 광학기기분야의 수입은 68%, 수출이 90%를 차지해 수출역점산업임을 알 수 있다. 따라서 2010년에는 광산업 세계시장규모가 400조 원 수준에 이를 것으로 예상되는 가운데 이에 대비하여 국내 광산업의 성장기틀을 다질 때이다. -본 고는 한국광학기기협회에서 작성한 정밀광학기기 분야의 기술로드맵 내용 중 f-$\theta$ 렌즈광학계 분야의 시장 전망과 국내 기술 현황에 대한 내용을 발췌, 정리한 것이다.

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Adaptive Intelligent Control of Nonlinear dynamic system Using Immune Fuzzy Fusion

  • Kim, Dong-Hwa;Park, Jin-Ill
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.3 no.2
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    • pp.146-156
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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.

Precision Position Control for PCB Screen Printer Using Image Processing (화상처리를 이용한 PCB 스크린 인쇄기의 정밀위치제어)

  • 이근유;부이트롱휴;김동규;박순실;김상봉
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.295-295
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    • 2000
  • In this paper, the measurement algorithm of PCB alignment error is developed using image processing. The X-Y-$\theta$ table correcting PCB alignment error is driven by drive module based on microprocessor according to calculation results obtained through image processing procedure. In order to recognize the X-Y-$\theta$ position errors, two fiducial points are marked on PCB and two cameras of ultraviolet rays types are used for detection of the points to capture exactly fiducial points under disturbance of illumination change. Through application for a practical screen printer, the precision control using the developed position control system can be realized about 2.5${\mu}{\textrm}{m}$ in table moving range and 8${\mu}{\textrm}{m}$ in camera processing precision.

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The softening behavior of Mg-Li-Al(-Zr) alloys (Mg-Li-Al(-Zr) 합금의 연화현상)

  • Kim, Y.W.;Kwang, Y.H.;Lim, Y.J.;Kim, D.H.;Hong, C.P.
    • Journal of the Korean Society for Heat Treatment
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    • v.11 no.1
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    • pp.10-16
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    • 1998
  • The softening behavior of squeeze cast Mg-Li-Al and Mg-Li-Al-Zr alloys have been investigated. The highest hardness values of Mg-Li-Al and Mg-Li-Al-Zr alloys were obtained after solution treatment at $400^{\circ}C$ for 1 hour. The hardness value, however, decreased as the aging temperature and time increased. Microstructural and calorometric analyses showed that quenched-microstructure changed from primary (${\alpha}$ and ${\beta}$)+secondary ${\alpha}$ to primary(${\alpha}$ and ${\beta}$)+secondary ${\alpha}+{\theta}$ after aging. The softening during aging was due to the coarsening of ${\theta}$ precipitates.

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Further development in the integration of multimodal functions by Monte Caro importance sampling (다봉 함수의 다차원 적분을 위한 몬테카를로 기법의 개선)

  • Man Suk Oh
    • The Korean Journal of Applied Statistics
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    • v.7 no.2
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    • pp.113-130
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    • 1994
  • The algorithm of Oh and Berger (1993) is extended to handle more general cases where the integrand $f(\theta)$ is not only multimodal but also skewed or has some undetected modes, each having curvature not much different from that of the nearest component. It runs Oh and Berger's algorithm in an iterative way, adding a component in each stage to the mixture importance function from previous stage for better approximation between $f(\theta)$ and the importance function.

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