• 제목/요약/키워드: inverse functions

검색결과 248건 처리시간 0.021초

GENERATION OF MAGNETIC FIELDS BY TEMPERATURE GRADIENTS

  • OKABE NOBUHIRO;HATTORI MAKOTO
    • 천문학회지
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    • 제37권5호
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    • pp.547-551
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    • 2004
  • We showed that magnetic fields are generated in the plasma which have the temperature inhomogeneities. The mechanism is the same as the Weibel instability because the velocity distribution functions are at non-equilibrium and anisotropic under the temperature gradients. The growth timescale is much shorter than the dynamical time of structure formation. The coherence length of magnetic fields at the saturated time is much shorter than kpc scale and then, at nonlinear phase, become longer by inverse-cascade process. We report the application of our results to clusters of galaxies, not including hydrodynamic effects.

A RESERCH ON NONLINEAR (p, q)-DIFFERENCE EQUATION TRANSFORMABLE TO LINEAR EQUATIONS USING (p, q)-DERIVATIVE

  • ROH, KUM-HWAN;LEE, HUI YOUNG;KIM, YOUNG ROK;KANG, JUNG YOOG
    • Journal of applied mathematics & informatics
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    • 제36권3_4호
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    • pp.271-283
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    • 2018
  • In this paper, we introduce various first order (p, q)-difference equations. We investigate solutions to equations which are linear (p, q)-difference equations and nonlinear (p, q)-difference equations. We also find some properties of (p, q)-calculus, exponential functions, and inverse function.

THE CONSTRUCTION OF A NON-UNIMODAL GORENSTEIN SEQUENCE

  • Ahn, Jea-Man
    • Journal of applied mathematics & informatics
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    • 제29권1_2호
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    • pp.443-450
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    • 2011
  • In this paper, we construct a Gorenstein Artinian algebra R/J with non-unimodal Hilbert function h = (1, 13, 12, 13, 1) to investigate the algebraic structure of the ideal J in a polynomial ring R. For this purpose, we use a software system Macaulay 2, which is devoted to supporting research in algebraic geometry and commutative algebra.

Extension of Guilloton's Method for the Calculation of Wave-making Resistance and Velocities at the Vicinity of a Ship Hull(2nd Report)

  • D.K.,Lee
    • 대한조선학회지
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    • 제24권1호
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    • pp.17-28
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    • 1987
  • The materials to develop a computer-based method for the wave resistance of a ship within the frame of Guilloton's wedge concept are presented in this paper. A systematic reliable procedure to retrieve the linearized hull corresponding to a given real hull form(the so-called inverse transformation) has been devised. The algorithm based on the present materials produces evidently accurate values of the H-functions, and the wave profiles and the wave resistance coefficients in good agreement with the experimental measurements.

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A NUMERICAL METHOD FOR THE PROBLEM OF COEFFICIENT IDENTIFICATION OF THE WAVE EQUATION BASED ON A LOCAL OBSERVATION ON THE BOUNDARY

  • Shirota, Kenji
    • 대한수학회논문집
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    • 제16권3호
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    • pp.509-518
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    • 2001
  • The purpose of this paper is to propose a numerical algorithm for the problem of coefficient identification of the scalar wave equation based on a local observation on the boundary: Determine the unknown coefficient function with the knowledge of simultaneous Dirichlet and Neumann boundary values on a part of boundary. To find the unknown coefficient function, the unknown Neumann boundary value is also identified. We recast our inverse problem to variational problem. The gradient method is applied to find the minimizing functions. We confirm the effectiveness of our algorithm by numerical experiments.

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Transient response of vibration systems with viscous-hysteretic mixed damping using Hilbert transform and effective eigenvalues

  • Bae, S.H.;Jeong, W.B.;Cho, J.R.;Lee, J.H.
    • Smart Structures and Systems
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    • 제20권3호
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    • pp.263-272
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    • 2017
  • This paper presents the time response of a mixed vibration system with the viscous damping and the hysteretic damping. There are two ways to derive the time response of such a vibration system. One is an analytical method, using the contour integral of complex functions to compute the inverse Fourier transforms. The other is an approximate method in which the analytic functions derived by Hilbert transform are expressed in the state space representation, and only the effective eigenvalues are used to efficiently compute the transient response. The unit impulse responses of the two methods are compared and the change in the damping properties which depend on the viscous and hysteretic damping values is investigated. The results showed that the damping properties of a mixed damping vibration system do not present themselves as a linear combination of damping properties.

비등방 정지부 및 비대칭 회전부를 갖는 회전체의 주파수응답함수 특성에 관한 연구 (A Study on the Characteristics of Frequency Response Functions for Rotor System with Anisotropic Stator and Asymmetric Rotor)

  • 한동주
    • 한국항공우주학회지
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    • 제33권10호
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    • pp.42-50
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    • 2005
  • 주기적 시변계인 비등방 정지부 및 비대칭 회전부를 갖는 일반 회전체에 대해서, 유도된 해석 모델 및 운동방정식으로부터 시 변조계수를 이용하여 급수방정식을 구성하였다. 이들 운동방정식의 물리적인 변수를 이용한 직접 퓨리에변환의 역행렬로부터 주파수응답함수를 용이하게 유도하였고, 이들의 특성 및 경향을 분석 제시하였다.

파이프라인 방식에 의한 아다마르 변환 프로세서 (A Pipelined Hadamard Transform Processor)

  • 황영수;윤대희;차일환
    • 대한전자공학회논문지
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    • 제26권10호
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    • pp.1617-1623
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    • 1989
  • The introduction of the fast Fourier transform(FFT),an efficient computational algorithm for the discrete Fourier transform(DFT) by Cooley and Tukey(1965), has brought to the limelight various other discrete transforms. Some of the analog functions from which these transforms have been derived date back to the early 1920's, for example, Walsh functions (Walsh, 1923) and Hadamard Transform(Enomoto et al, 1965). Fast algorithms developed for the forward transform are equally applicable, exept for minor changes, to the inverse transform. In this paper, we present a simple pipelined Hadamard matrix(HM) which is used to develop a fast algorithm for the Hadamard Processor (HP). The Fast Hadamard Transform(FHT) can be derived using matrix partitioning techniques. The HP system is incorporated through a modular design which permits tailoring to meet a wide range of video data link applications. Emphasis has been placed on a low cost, a low power design suitable for airbone system and video codec.

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모호논리를 이용한 초임게유체추출공정의 제어 (Control of superoritioal fluid extraotion process using fuzzy logio)

  • 유두선;이광순;남성우;김정한
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1990년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 26-27 Oct. 1990
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    • pp.246-251
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    • 1990
  • A fuzzy control scheme has been proposed for a supercritical extraction process which has attracted much attention recently as a new separation technology. Based on the manual operation experience, three control pairs between manipulated and output variables are selected first and then seven membership functions are defined for control error and time rate of the error, respectively for each control pair, resulting in forty nine Fuzzy control rules. In addition to these, the membership functions are defined in two steps (coarse and fine) to enhance control performance. Fuzzy inference is performed using MAX-MTN composition rule and defuzzified control output is calculated based on center of gravity method. The prosed Fuzzy control scheme has been assessed through numerical simulation. As a result, the proposed scheme shows good control performance comparable with that by INA(inverse nyquist array) which usually requires complicated design procedure.

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Parametric Blind Restoration of Bi-level Images with Unknown Intensities

  • Kim, Daeun;Ahn, Sohyun;Kim, Jeongtae
    • IEIE Transactions on Smart Processing and Computing
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    • 제5권5호
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    • pp.319-322
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    • 2016
  • We propose a parametric blind deconvolution method for bi-level images with unknown intensity levels that estimates unknown parameters for point spread functions and images by minimizing a penalized nonlinear least squares objective function based on normalized correlation coefficients and two regularization functions. Unlike conventional methods, the proposed method does not require knowledge about true intensity values. Moreover, the objective function of the proposed method can be effectively minimized, since it has the special structure of nonlinear least squares. We demonstrate the effectiveness of the proposed method through simulations and experiments.