• Title/Summary/Keyword: Estimate

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EXTINCTION AND POSITIVITY OF SOLUTIONS FOR A CLASS OF SEMILINEAR PARABOLIC EQUATIONS WITH GRADIENT SOURCE TERMS

  • Yi, Su-Cheol
    • Journal of the Chungcheong Mathematical Society
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    • v.30 no.4
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    • pp.397-409
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    • 2017
  • In this paper, we investigated the extinction, positivity, and decay estimates of the solutions to the initial-boundary value problem of the semilinear parabolic equation with nonlinear gradient source and interior absorption terms by using the integral norm estimate method. We found that the decay estimates depend on the choices of initial data, coefficients and domain, and the first eigenvalue of the Laplacean operator with homogeneous Dirichlet boundary condition plays an important role in the proofs of main results.

GRADIENT ESTIMATE OF HEAT EQUATION FOR HARMONIC MAP ON NONCOMPACT MANIFOLDS

  • Kim, Hyun-Jung
    • Journal of applied mathematics & informatics
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    • v.28 no.5_6
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    • pp.1461-1466
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    • 2010
  • aSuppose that (M, g) is a complete Riemannian manifold with Ricci curvature bounded below by -K < 0 and (N, $\bar{b}$) is a complete Riemannian manifold with sectional curvature bounded above by a constant $\mu$ > 0. Let u : $M{\times}[0,\;{\infty}]{\rightarrow}B_{\tau}(p)$ is a heat equation for harmonic map. We estimate the energy density of u.

A musculotendon model including muscle fatigue

  • Jong kwang Lim;Nam, Moon-Hyon
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.352-355
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    • 1998
  • A musculotendon model is investigated to show muscle fatigue under the repeated functional electrical stimulation (FES). The normalized Hill-type model can predict the decline in muscle force. It consists of nonlinear activation and contraction dynamics including physiological concepts of muscle fatigue. A muscle fatigue as a function of the intracellular acidification, pHi is inserted into contraction dynamics to estimate the force decline. The computer simulation shows that muscle force declines in stimulation time and the change in the estimate of the optimal fiber length has an effect only on muscle time constant not on the steady-state tetanic force.

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A reliability-based criterion of structural performance for structures with linear damping

  • Kovaleva, Agnessa
    • Smart Structures and Systems
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    • v.2 no.4
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    • pp.313-320
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    • 2006
  • The reliability analysis of structures subjected to stochastic loading involves evaluation of time and probability of the system's residence in a reference domain. In this paper, we derive an asymptotic estimate of exit time for multi-degrees-of-freedom structural systems. The system's dynamics is governed by the Lagrangian equations with linear dissipation and fast additive noise. The logarithmic asymptotic of exit time is found explicitly as a sum of two terms dependent on kinetic and potential energy of the system, respectively. As an example, we estimate exit time and an associated structural performance for a rocking structure.

Estimation of Storage Deficit by Run's Characteritics (Runs의 특성에 의한 지속기간별 저수부족량의 추정)

  • 강관원;안경수
    • Water for future
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    • v.19 no.4
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    • pp.329-338
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    • 1986
  • the purpose of this study is to estimate the storage deficit by Run's Characteristics of (-)Run-length and (-)Run-sum. Runoff data are obtained from the guaging stations of Y대-Ju in Hanriver Basin, Wae-Gwan in Nak Dong River Basin and Gyo Am in Geum River Basin. In order to estimate the storage deficit, runhydrographs are established with each return period of 10, 30, ......, 200 years and regression equation is derived from relationship between (-) run-length and storage deficit. From the comparison of estimated reservoir storage with observed values., it was proved that this suggested method can be used for the estimation of the storage deficit.

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AN ENERGY DENSITY ESTIMATE OF HEAT EQUATION FOR HARMONIC MAP

  • Kim, Hyun-Jung
    • The Pure and Applied Mathematics
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    • v.18 no.1
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    • pp.79-86
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    • 2011
  • Suppose that (M,g) is a complete and noncompact Riemannian mani-fold with Ricci curvature bounded below by $-K{\leq}0$ and (N, $\bar{g}$) is a complete Riemannian manifold with nonpositive sectional curvature. Let u : $M{\times}[0,{\infty}){\rightarrow}N$ be the solution of a heat equation for harmonic map with a bounded image. We estimate the energy density of u.

A Study on the Efficiency of a Two Stage Shrinkage Testimator for the Mean of an Exponential Distribution

  • Myung-Sang Moon
    • Communications for Statistical Applications and Methods
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    • v.5 no.1
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    • pp.231-238
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    • 1998
  • A two stage shrinkage testimator for the mean of an exponential distribution is considered with the assumption that an initial estimate of the mean is available. Mean squared error(MSE) of testimator and its relative efficiency (to usual single sample mean) are briefly reviewed. It is shown that relative efficiency depends only on the ratio of true mean value and its initial estimate.

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Neuro-Fuzzy System and Its Application by Input Space Partition Methods (입력 공간 분할에 따른 뉴로-퍼지 시스템과 응용)

  • 곽근창;유정웅
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.10a
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    • pp.433-439
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    • 1998
  • In this paper, we present an approach to the structure identification based on the input space partition methods and to the parameter identification by hybrid learning method in neuro-fuzzy system. The structure identification can automatically estimate the number of membership function and fuzzy rule using grid partition, tree partition, scatter partition from numerical input-output data. And then the parameter identification is carried out by the hybrid learning scheme using back-propagation and least squares estimate. Finally, we sill show its usefulness for neuro-fuzzy modeling to truck backer-upper control.

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Development of the Operation Simulator for the PRT System (PRT 시스템의 운행 시뮬레이터 개발)

  • Jeong, Rag-Gyo;Kim, Beak-Hyun;Hwang, Hyeon-Chyeol
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.11
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    • pp.2056-2063
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    • 2011
  • A time based software simulator for the PRT system operation is presented. The purpose of the simulator is to estimate the passenger transportation performance of the PRT system. In this paper, it is presented how the system is modeled in the simulator to estimate passenger transportation performance and the running algorithm of the modeled subsystem. An application sample is also presented to find the system's design parameter to satisfy the transportation needs.

THE MINIMUM VARIANCE UNBIASED ESTIMATION OF SYSTEM RELIABILITY

  • Park, C.J.;Kim, Jae-Joo
    • Journal of Korean Institute of Industrial Engineers
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    • v.4 no.1
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    • pp.29-32
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    • 1978
  • We obtain the minimum variance unbiased estimate of system reliability when a system consists of n components whose life times are assumed to be independent and identically distributed either negative exponential or geometric random variables. For the case of a negative exponential life time, we obtain the minimum variance unbiased estimate of the probability density function of the i-th order statistic.

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