• Title/Summary/Keyword: upper solution

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An Analytic Solution of the Shape of an Inclined, Partially Filled Membrane Container (경사면에 놓인 유체 저장용 막구조물 형상의 이론적 해석)

  • Choi, Yoon-Rak
    • Journal of Ocean Engineering and Technology
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    • v.21 no.1 s.74
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    • pp.45-50
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    • 2007
  • For a long partially-filled membrane container on an incline, the analytic solution of the similarity shape is studied. The nonlinear equation is solved and its solution is expressed as elliptic integrals, which include an unknown at the point of inflection. The point of inflection is determined by using the boundary condition at the upper separating point. Some characteristic values of the universal shape are evaluated, as the functions of inclination angle and shapes are illustrated for some cases.

A New Approach of Intensity Predictio in Copper Electroplating Monitoring Using Hybrid HSMM and ANN

  • Wang, Li;Hwan, Ahn-Jong;Lee, Ho-Jae;Hong, Sang-Jeen
    • Proceedings of the Korean Vacuum Society Conference
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    • 2010.02a
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    • pp.137-137
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    • 2010
  • Copper electroplating is a very popular and important technology for depositing high-quality conductor interconnections, especially in through silicon via (TSV). As this advanced packaging technique developing, a mass of copper and chemical solution are used, so attention to these chemical materials into the utilization and costs can not be ignored. An economical and practical real-time chemical solution monitoring has not been achieved yet. Either Red-green-blue (RGB) or optical emission spectroscopy (OES) color sensor can successfully monitor the color condition of solution during the process. The reaction rate, uniformity and quality can map onto the color changing. Hidden Semi Markov model (HSMM) can establish mapping from the color change to upper indicators, and artificial neural network (ANN) can be integrated to comprehensively determine its targets, whether the solution inside the container can continue to use.

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The Effects of Learner's Metacognition and Scaffolding Types on Problem Solving Process in Web-based PBL (웹기반 PBL에서 학습자의 메타인지와 스캐폴딩 유형이 문제해결과정에 미치는 효과)

  • Jeon, Hee-Jeong
    • The Journal of the Korea Contents Association
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    • v.7 no.2
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    • pp.161-169
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    • 2007
  • This study examines the effects of learner's metacognition and scaffolding types on problem solving processes by examined 49 undergraduates to identify effective scaffolding type in Web-based PBL. This study classifies problem solving processes as defining the problem, developing solutions, making selections and justifications for the Proposed solution(s), and monitoring the solution. Moreover, it classifies scaffolding types as subject-related scaffolding and process-related scaffolding. As a result, the upper metacognition group showed higher performance only in monitoring solutions than the lower metacognioon group. This study also showed that offered scaffolding effects are not statistically significant. However, the lower metacognition group showed higher performance when subject-related scaffolding was offered and the upper metacognition group showed higher performance when process-related scaffolding was offered in making selections and justifications for the proposed solution(s) and monitoring solution. This study, based on the result of research, can partially verify the effects of learner's metacognition on problem solving processes and interaction effects between scaffolding and metacogniton in Web-based PBL.

Assessment of Tunnel Collapse Load by Closed-Form Analytical Solution and Finite Element Analysis (근사적인 해석법과 유한요소해석에 의한 터널붕괴하중 평가)

  • Lee, Yong-Joo
    • Journal of the Korean Geotechnical Society
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    • v.23 no.4
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    • pp.185-197
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    • 2007
  • Limit analysis of upper and lower bound solutions has been well developed to provide the stability numbers for shallow tunnels in cohesive soil ($c_u$ material), cohesive-frictional soil (c'-$\phi$' material) and cohesionless soil ($\phi$'material). However, an extension of these methods to relatively deep circular tunnels in the cohesionless soil has been explored rarely to date. For this reason, the closed-form analytical solutions including lower bound solution based on the stress discontinuity concept and upper bound solution based on the kinematically admissible failure mechanism were proposed for assessing tunnel collapse load in this study. Consequently, the tunnel collapse load from those solutions was compared with both the finite element analysis and the previous analytical bound solutions and shown to be in good agreement with the FE results, in particular with the FE soil elements located on the horizontal tunnel axis.

PARTIAL DIFFERENTIAL EQUATIONS AND SCALAR CURVATURES ON SPACE-TIMES

  • JUNG, YOON-TAE;JEONG, BYOUNG-SOON;CHOI, EUN-HEE
    • Honam Mathematical Journal
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    • v.27 no.2
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    • pp.273-285
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    • 2005
  • In this paper, when N is a compact Riemannian manifold, we discuss the method of using warped products to construct Lorentzian metrics on $M=[a,\;b){\times}_f\;N$ with specific scalar curvatures.

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MONOTONE ITERATION SCHEME FOR A FORCED DUFFING EQUATION WITH NONLOCAL THREE-POINT CONDITIONS

  • Alsaedi, Ahmed
    • Communications of the Korean Mathematical Society
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    • v.22 no.1
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    • pp.53-64
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    • 2007
  • In this paper, we apply the generalized quasilinearization technique to a forced Duffing equation with three-point mixed nonlinear nonlocal boundary conditions and obtain sequences of upper and lower solutions converging monotonically and quadratically to the unique solution of the problem.

A solution approach to scheduling problems with generalized variable upper bounds

  • Yang, Kwang-Min
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1992.04b
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    • pp.14-23
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    • 1992
  • 본 논문은 스케줄링 문제등 정수계획문제에서 흔히 찾아볼 수 있는 변수상한 제약을 갖는 문제의 효율적인 해법을 위한 분석적인 틀을 마련하기 위한 연구이다. 본 연구에서는 이 문제에 관한 기존의 알고리즘적 해법과 달리 분해기법을 이용하여 일반변수상한 문제에 까지 확장 적용될 수 있음을 분석적으로 보였다.

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Analysis of Attenuation Poles using Closed-form Solutions for Bandpass Filters

  • Shin, Yoon-mi;Lee, Bom-Son
    • Journal of electromagnetic engineering and science
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    • v.1 no.2
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    • pp.156-160
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    • 2001
  • Very convenient equivalent circuits fur the design of bandpass filters with an attenuation pole in the lower or upper stopband are provided together with necessary closed-form solutions. The proposed approach gives us much flexibility and simplifies the design of inserting attenuation poles.

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NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS ON SEMI-RIEMANNIAN MANIFOLDS

  • Jung, Yoon-Tae;Kim, Yun-Jeong
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.2
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    • pp.317-336
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    • 2000
  • In this paper, when N is a compact Riemannian manifold, we discuss the method of using warped products to construct timelike or null future (or past) complete Lorentzian metrics on $M=(-{\infty},{\;}\infty){\;}{\times}f^N$ with specific scalar curvatures.

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