• 제목/요약/키워드: Quasi-linear

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Simulation and Quasi-linear Theory of Magnetospheric Bernstein Mode Instability

  • 이중기
    • 천문학회보
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    • 제44권2호
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    • pp.70.1-70.1
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    • 2019
  • Multiple-harmonic electron cyclotron emissions, often known in the literature as the (n + 1∕2)fce emissions, are a common occurrence in the magnetosphere. These emissions are often interpreted in terms of the Bernstein mode instability driven by the electron loss cone velocity distribution function. Alternatively, they can be interpreted as quasi-thermal emission of electrostatic fluctuations in magnetized plasmas. The present paper carries out a one-dimensional relativistic electromagnetic particle-in-cell simulation and also employs a reduced quasi-linear kinetic theoretical analysis in order to compare against the simulation. It is found that the Bernstein mode instability is indeed excited by the loss cone distribution of electrons, but the saturation level of the electrostatic mode is quite low, and that the effects of instability on the electrons is rather minimal. This supports the interpretation of multiple-harmonic emission in the context of the spontaneous emission and reabsorption in quasi-thermal magnetized plasma in the magnetosphere.

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선형배열음원의 최적 지향성합성 (Optimal Directivity Synthesis of Linear array Sources)

  • 정의철;김상윤;김온;조기량
    • 한국통신학회논문지
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    • 제37권4A호
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    • pp.250-259
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    • 2012
  • 본 논문에서는 반복계산에 따라 비선형 최소점을 탐색하는 최적화 알고리즘의 선택이 선형배열음원의 지향성합성에 미치는 영향을 목적지향성의 설계사양에 대한 만족도, 수렴성, 그리고 적응성의 면에서 비교 검토하였다. 지향성합성은 최적화 알고리즘인 DFP(Davidon-Fletcher-Powell)법과 BFGS (Broyden-Fletcher-Goldfarb-Shanno)법을 이용하였으며, 준이상 빔과 회전 빔, 그리고 멀티 빔을 목적지향성으로 설정하였다. 수치계산 결과, 지향성합성에 대한 준뉴톤법의 유효성 확인과 함께 수치계산 과정에서 발생된 문제점에 대한 해결 방법도 제시하였다.

NEWTON AND QUASI-NEWTON METHODS FOR EQUATIONS OF SMOOTH COMPOSITIONS OF SEMISMOOTH FUNCTIONS

  • Gao, Yan
    • Journal of applied mathematics & informatics
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    • 제6권3호
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    • pp.747-756
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    • 1999
  • The Newtom method and the quasi-Newton method for solving equations of smooth compositions of semismooth functions are proposed. The Q-superlinear convergence of the Newton method and the Q-linear convergence of the quasi-Newton method are proved. The present methods can be more easily implemeted than previous ones for this class of nonsmooth equations.

Identification of Multiple Outlying Cells in Multi-way Tables

  • Lee, Jong Cheol;Hong, Chong Sun
    • Communications for Statistical Applications and Methods
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    • 제7권3호
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    • pp.687-698
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    • 2000
  • An identification method is proposed in order to detect more than one outlying cells in multi-way contingency tables. The iterative proportional fitting method is applied to get expected values of several suspected outlying cells. Since the proposed method uses minimal sufficient statistics under quasi log-linear models, expected counts of outlying cells could be estimated under any hierarchical log-linear models. This method is an extension of the backwards-stepping method of Simonoff(1988) and requires les iteration to identify outlying cells.

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Modelling Count Responses with Overdispersion

  • Jeong, Kwang Mo
    • Communications for Statistical Applications and Methods
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    • 제19권6호
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    • pp.761-770
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    • 2012
  • We frequently encounter outcomes of count that have extra variation. This paper considers several alternative models for overdispersed count responses such as a quasi-Poisson model, zero-inflated Poisson model and a negative binomial model with a special focus on a generalized linear mixed model. We also explain various goodness-of-fit criteria by discussing their appropriateness of applicability and cautions on misuses according to the patterns of response categories. The overdispersion models for counts data have been explained through two examples with different response patterns.

UTLIZIATION OF RADARSAT FOR FORECASTING OIL SLICKT RAJECTORY MOVEMENT

  • Marghany, Maged
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2003년도 Proceedings of ACRS 2003 ISRS
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    • pp.435-437
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    • 2003
  • This study presents work to utilize RADARSAT SAR image for forecast oil slick trajectory movement. The fractal dimension algorithm used to detect oil slick. The Doppler frequency shift and quasi-linear model was used to simulate a current pattern from RADARSAT image. The Fay’s algorithm of oil slick spreading was developed based on a Doppler frequency shift model. Thus, the study shows that fractal dimension algorithm discriminated the oil slick from the surrounding water features. The quasi-linear model shows that the current pattern can be simulated from single RADARSAT image. The oil slick trajectory model shows that after 48 hrs, the oil slick parcels deposited along the coastal waters.

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MAXIMAL DOMAINS OF SOLUTIONS FOR ANALYTIC QUASILINEAR DIFFERENTIAL EQUATIONS OF FIRST ORDER

  • Han, Chong-Kyu;Kim, Taejung
    • 대한수학회지
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    • 제59권6호
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    • pp.1171-1184
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    • 2022
  • We study the real-analytic continuation of local real-analytic solutions to the Cauchy problems of quasi-linear partial differential equations of first order for a scalar function. By making use of the first integrals of the characteristic vector field and the implicit function theorem we determine the maximal domain of the analytic extension of a local solution as a single-valued function. We present some examples including the scalar conservation laws that admit global first integrals so that our method is applicable.