• 제목/요약/키워드: analytic sets

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APPROXIMATION IN LIPSCHITZ ALGEBRAS OF INFINITELY DIFFERENTIABLE FUNCTIONS

  • Honary, T.G.;Mahyar, H.
    • 대한수학회보
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    • 제36권4호
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    • pp.629-636
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    • 1999
  • We introduce Lipschitz algebras of differentiable functions of a perfect compact plane set X and extend the definition to Lipschitz algebras of infinitely differentiable functions of X. Then we define the subalgebras generated by polynomials, rational functions, and analytic functions in some neighbourhood of X, and determine the maximal ideal spaces of some of these algebras. We investigate the polynomial and rational approximation problems on certain compact sets X.

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APPROXIMATE REACHABLE SETS FOR RETARDED SEMILINEAR CONTROL SYSTEMS

  • KIM, DAEWOOK;JEONG, JIN-MUN
    • Journal of applied mathematics & informatics
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    • 제38권5_6호
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    • pp.469-481
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    • 2020
  • In this paper, we consider a control system for semilinear differential equations in Hilbert spaces with Lipschitz continuous nonlinear term. Our method is to find the equivalence of approximate controllability for the given semilinear system and the linear system excluded the nonlinear term, which is based on results on regularity for the mild solution and estimates of the fundamental solution.

SOME GEOMETRIC APPLICATIONS OF RESISTANT LENGTH OF CURVE FAMILIES (I)

  • Chung, Bohyun;Jung, Wansoo
    • Korean Journal of Mathematics
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    • 제14권2호
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    • pp.281-289
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    • 2006
  • We introduce the resistant length and examine its properties. We also consider the geometric applications of resistant length to the boundary behavior of analytic functions, conformal mappings and derive the theorem in connection with the cluster sets, purely geometric problems. The method of resistant length leads a simple proofs of theorems. So it shows us the usefulness of the method of resistant length.

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유전자 정보시스템 설계 및 구현 (Implementation of Gene Information System)

  • 최낙중;최한석;김동욱
    • 한국콘텐츠학회:학술대회논문집
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    • 한국콘텐츠학회 2018년도 춘계 종합학술대회 논문집
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    • pp.549-550
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    • 2018
  • We have developed a web server for the high throughput annotation of gene. This system processes entire data sets with an automated pipeline of 13 analytic services, then deposits the data into the MySQL database and transforms it into three kinds of reports: preprocessing, assembling and annotation.

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The Analytic Gradient with a Reduced Molecular Orbital Space for the Equation-of-Motion Coupled-Cluster Theory: Systematic Study of the Magnitudes and Trends in Simple Molecules

  • 백경기;전상일
    • Bulletin of the Korean Chemical Society
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    • 제21권7호
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    • pp.720-726
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    • 2000
  • The analytic gradient method for the equation-of-motion coupled-cluster singles and doubles (EOM-CCSD) energy has been extended to employ a reduced molecular orbital (MO) space. Not only the innermost core MOs but also some of the outermost virtua l MOs can be dropped in the reduced MO space, and a substantial amount of computation time can be reduced without deteriorating the results. In order to study the magnitudes and trends of the effects of the dropped MOs, the geometries and vibrational properties of the ground and excited states of BF, CO, CN, N2, AlCl, SiS, P2, BCl, AIF, CS, SiO, PN and GeSe are calculated with different sizes of molecular orbital space. The 6-31 G* and the aug-cc-pVTZ basis sets are employed for all molecules except GeSc for which the 6-311 G* and the TZV+f basis sets are used. It is shown that the magnitudes of the drop-MO effects are about $0.005\AA$ in bond lengths and about 1% on harmonic frequencies and IR intensities provided that the dropped MOs correspond to (1s), (1s,2s,2p), an (1s,2s,2p,3s,3p) atomic orbitals of the first, the second, and the third row atoms, respectively. The geometries and vibrational properties of the first and the second excited states of HCN and HNC are calculated by using a drastically reduced virtual MO space as well as with the well defined frozen core MO space. The results suggest the possibility of using a very smalI MO space for qualitative study of valence excited states.

VALIDATION OF ON-LINE MONITORING TECHNIQUES TO NUCLEAR PLANT DATA

  • Garvey, Jamie;Garvey, Dustin;Seibert, Rebecca;Hines, J. Wesley
    • Nuclear Engineering and Technology
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    • 제39권2호
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    • pp.133-142
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    • 2007
  • The Electric Power Research Institute (EPRI) demonstrated a method for monitoring the performance of instrument channels in Topical Report (TR) 104965, 'On-Line Monitoring of Instrument Channel Performance.' This paper presents the results of several models originally developed by EPRI to monitor three nuclear plant sensor sets: Pressurizer Level, Reactor Protection System (RPS) Loop A, and Reactor Coolant System (RCS) Loop A Steam Generator (SG) Level. The sensor sets investigated include one redundant sensor model and two non-redundant sensor models. Each model employs an Auto-Associative Kernel Regression (AAKR) model architecture to predict correct sensor behavior. Performance of each of the developed models is evaluated using four metrics: accuracy, auto-sensitivity, cross-sensitivity, and newly developed Error Uncertainty Limit Monitoring (EULM) detectability. The uncertainty estimate for each model is also calculated through two methods: analytic formulas and Monte Carlo estimation. The uncertainty estimates are verified by calculating confidence interval coverages to assure that 95% of the measured data fall within the confidence intervals. The model performance evaluation identified the Pressurizer Level model as acceptable for on-line monitoring (OLM) implementation. The other two models, RPS Loop A and RCS Loop A SG Level, highlight two common problems that occur in model development and evaluation, namely faulty data and poor signal selection

지속가능한 생태관광을 위한 평가지표 개발 및 적용에 관한 연구 (A Study on the Development of the Indicator Sets for Evaluating the Sustainable Eco-tourism and It's Application)

  • 이재혁;이희연
    • 대한지리학회지
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    • 제47권6호
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    • pp.853-869
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    • 2012
  • 최근 환경에 대한 인식과 관광 산업이 성장하면서 세계적으로 확대되고 있는 생태관광은 지역 발전 전략을 위한 대안으로도 간주되고 있다. 더 나아가 생태관광은 지속가능한 개발을 위한 효과적인 도구로도 잠재성이 있는 것으로까지 인지되고 있다. 그러나 생태관광개발이 잘 계획되지 못하거나 잘못 실행되는 경우 생태관광이란 이름 하에서 가져온 경제적인 이익이 오히려 사회 생태적인 파괴를 가져오기도 한다, 본 연구는 생태관광의 지속가능성을 측정 평가할 수 있는 지표를 개발하고 개발된 평가지표를 한국의 10대 생태관광지에 적용하는데 목적을 두었다. 개발된 평가지표들을 사용한 결과 여러 생태관광지를 동시에 비교하여 생태관광지 마다의 지속가능성 상태와 특성을 확인할 수 있었으며, 개발된 평가지표 체계는 앞으로도 지속가능한 생태관광을 모니터링할 수 있음을 보여주었다. 특히 평가 영역별 가중치를 달리 부여한 결과 나타난 민감도 분석에서 순위 변화가 매우 작아서 평가 영역별 가중치 부여 문제가 심각하지 않을 수 있음을 확인하였다. 이러한 분석결과를 바탕으로 본 연구에서는 생태관광지의 지속가능성의 평가지표를 규범적, 분석적, 실증적 차원에서의 적용 가능성을 제시하였다.

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비선형 히스테리시스 댐퍼를 갖는 진동계의 해석 (Non-linear Vibration of a System Incorporating a Hysteretic Damper)

  • 양성영;장서일;김상주
    • 소음진동
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    • 제10권3호
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    • pp.531-535
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    • 2000
  • A three-parameter model of viscoelastic damper which has a non-linear spring as an element is incorporated into an oscillator. The behavior of the damper model shows non-linear hysteresis curves which is qualitatively similar to those of real viscoelastic materials. The motion is governed by get analytic solutions of the system. The frequency-response curves show that multiple solutions co-exist and that the jump phenomena can occur. In addition it is shown that separate solution branch exists and that it can merge with the primary response curve. Saddle-node bifurcation sets explain the occurences of such non-linear phenomena. A direct time intergration of the original equation of motion validifies the use of the harmonic balance method to this sort of problem.

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A Statistical Analysis of Professional Baseball Team Data: The Case of the Lotte Giants

  • Cho, Young-Seuk;Han, Jun-Tae;Park, Chan-Keun;Heo, Tae-Young
    • 응용통계연구
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    • 제23권6호
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    • pp.1191-1199
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    • 2010
  • Knowing what factors into a player's ability to affect the outcome of a sports game is crucial. This knowledge helps determine the relative degree of contribution by each team member as well as sets appropriate annual salaries. This study uses statistical analysis to investigate how much the outcome of a professional baseball game is influenced by the records of individual players. We used the Lotte Giants' data on 252 games played between 2007 and 2008 that included environmental data(home or away games and opponents) as well as pitchers' and batters' data. Using a SAS Enterprise Miner, we performed a logistic regression analysis and decision tree analysis on the data. The results obtained through the two analytic methods are compared and discussed.

MAX-MIN CONTROLLABILITY OF DELAY-DIFFERENTIAL GAMES IN HILBERT SPACES

  • Kang, Yong-Han;Jeong, Jin-Mun;Park, Jong-Yeoul
    • 대한수학회지
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    • 제38권1호
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    • pp.177-191
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    • 2001
  • We consider a linear differential game described by the delay-differential equation in a Hilbert space H; (※Equations, See Full-text) U and V are Hilbert spaces, and B(t) and C(t) are families of bounded operators on U and V to H, respectively. A(sub)0 generates an analytic semigroup T(t) = e(sup)tA(sub)0 in H. The control variables g, and u and v are supposed to be restricted in the norm bounded sets (※Equations, See Full-text). For given x(sup)0 ∈ H and a given time t > 0, we study $\xi$-approximate controllability to determine x($.$) for a given g and v($.$) such that the corresponding solution x(t) satisfies ∥x(t) - x(sup)0∥ $\leq$ $\xi$($\xi$ > 0 : a given error).

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