• Title/Summary/Keyword: 전개 방정식

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Scalar Perturbation and Stability of a New Wormhole in Einstein-Born-Infeld Gravity (아인슈타인-본-인펠트 중력 이론에서 새로운 웜홀의 스칼라장 섭동과 안정성)

  • Kim, Jin Young
    • New Physics: Sae Mulli
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    • v.68 no.11
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    • pp.1262-1267
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    • 2018
  • We introduce a new method to construct wormholes without adopting exotic matters in Einstein-Born-Infeld gravity with a negative cosmological constant. Contrary to the conventional method, the throat of the wormhole is located at the point where the metric solutions are joined smoothly. Thus, exotic matters are not needed to sustain the throat. We consider the behavior of a minimally coupled scalar field to study the stability of the new wormhole. If we define the quasinormal mode of the scalar field as the purely ingoing flux at the throat of the wormhole, the stability of wormhole can be discussed in analogy with the argument that we use for the stability of a black hole. Because an analytic solution can not be found, we suggest a formalism to find quasinormal modes numerically. The crucial difference from the black hole case is that the coefficient of the second-order derivative term of the radial equation is expanded from n = -1, which is contrary to the black hole case where it is expanded from n = 0.

A Study on the Effect of CEO and Eemployee's Intention to Innovation Activity Performances (경영자와 조직구성원의 의지가 혁신활동성과에 미치는 영향에 관한 연구)

  • Kim, Tae Sung;Koo, Il Seob
    • Asia-Pacific Journal of Business Venturing and Entrepreneurship
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    • v.10 no.2
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    • pp.11-16
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    • 2015
  • A lot of factor effects on the enterprise's innovation and business performance, for instance CEO and members intention etc.. Niehoff et al. says, The success factors of innovation enterprise's management lead to members of vision, innovation, innovation activities and support for an aggressive attitude of the enterprise members. However, today's products consumers wanted diverse and complex needs. CEO and members of the enterprise has been the diversity effort. The increase cost savings as well as in the profit improve factors that enterprise's participated a education and training, Subgroup activities, process quality, eliminate waste, improve yields, lead time reduction, process capability increasing, ets. This paper is a report of an empirical survey performed to 277 small and medium-sized enterprise in the korea. Cronbach's alpha coefficient is employed to analyze the reliability of the data. The effect analysis of each group is performed by the SEM(structural equation model). We use the SPSS' Amos program to analyze the equation modeling and test the hypotheses of the model.

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Chaotic Analysis of Water Balance Equation (물수지 방정식의 카오스적 분석)

  • 이재수
    • Water for future
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    • v.27 no.3
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    • pp.45-54
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    • 1994
  • Basic theory of fractal dimension is introduced and performed for the generated time series using the water balance model. The water balance equation over a large area is analyzed at seasonal time scales. In the generation and modification of mesoscale circulation local recycling of precipitation and dynamic effects of soil moisture are explicitly included. Time delay is incorporated in the analysis. Depending on the parameter values, the system showed different senarios in the evolution such as fixed point, limit cycle, and chaotic types of behavior. The stochastic behavior of the generated time series is due to deterministic chaos which arises from a nonlinear dynamic system with a limited number of equations whose trajectories are highly sensitive to initial conditions. The presence of noise arose from the characterization of the incoming precipitation, destroys the organized structure of the attractor. The existence of the attractor although noise is present is very important to the short-term prediction of the evolution. The implications of this nonlinear dynamics are important for the interpretation and modeling of hydrologic records and phenomena.

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The 3-Axis Attitude Stabilization System Design of Picosat Hausat-1 (극소형 위성 HAUSAT-1의 3축 자세 안정화 시스템 설계)

  • Seo,Seung-Won;Jeong,Nam-Suk;Jang,Yeong-Geun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.7
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    • pp.100-111
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    • 2003
  • The HAUSAT-1(Hankuk Aviation University SATellite-1) will orbit at the altitude of 650km-800 km with 65 or 98 degree inclination angle. The effects of magnetic field and Earth gravity are more predominant than other space disturbances because the HAUSAT-1 will be positioned in LEO(Low Earth Orbit). The HAUSAT-1 design implements a magnetic control system and gravity-stable system which implement the solar panel deployment system. The simulation using MATLAB was performed to make sure the attitude stability of HAUSAT-1, which is based on the 8th order magnetic field model and non-linear equations of disturbances and the HAUSAT-1 attitude. The stability is investigated for two different HAUSAT-1 configurations and attitude which are affected by disturbances through simulation. The results for gravity-gradient stable and non gravity-gradient stable system are compared. Methodology of attitude stabilization was explored to develop an effective attitude control system for the HAUSAT-1 using magnetic torquers.

Closed Integral Form Expansion for the Highly Efficient Analysis of Fiber Raman Amplifier (라만증폭기의 효율적인 성능분석을 위한 라만방정식의 적분형 전개와 수치해석 알고리즘)

  • Choi, Lark-Kwon;Park, Jae-Hyoung;Kim, Pil-Han;Park, Jong-Han;Park, Nam-Kyoo
    • Korean Journal of Optics and Photonics
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    • v.16 no.3
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    • pp.182-190
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    • 2005
  • The fiber Raman amplifier(FRA) is a distinctly advantageous technology. Due to its wider, flexible gain bandwidth, and intrinsically lower noise characteristics, FRA has become an indispensable technology of today. Various FRA modeling methods, with different levels of convergence speed and accuracy, have been proposed in order to gain valuable insights for the FRA dynamics and optimum design before real implementation. Still, all these approaches share the common platform of coupled ordinary differential equations(ODE) for the Raman equation set that must be solved along the long length of fiber propagation axis. The ODE platform has classically set the bar for achievable convergence speed, resulting exhaustive calculation efforts. In this work, we propose an alternative, highly efficient framework for FRA analysis. In treating the Raman gain as the perturbation factor in an adiabatic process, we achieved implementation of the algorithm by deriving a recursive relation for the integrals of power inside fiber with the effective length and by constructing a matrix formalism for the solution of the given FRA problem. Finally, by adiabatically turning on the Raman process in the fiber as increasing the order of iterations, the FRA solution can be obtained along the iteration axis for the whole length of fiber rather than along the fiber propagation axis, enabling faster convergence speed, at the equivalent accuracy achievable with the methods based on coupled ODEs. Performance comparison in all co-, counter-, bi-directionally pumped multi-channel FRA shows more than 102 times faster with the convergence speed of the Average power method at the same level of accuracy(relative deviation < 0.03dB).

Image Restoration Algorithm using Backward Diffusion Equation (역확산 방정식을 이용한 영상복원 알고리즘)

  • 이석호;최은철;강문기
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.40 no.1
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    • pp.34-42
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    • 2003
  • In this paper, the image restoration process is interpreted as a backward diffusion process and the restored image is given as the solution of the backward diffusion equation (BDF). The ill-posedness of the backward diffusion if subdued by manipulating the exponentially increasing coefficients of the eigenfunctions. In manipulating the coefficients the spectral characteristics of an image is taken into account. The proposed scheme uses an exponentially decreasing function of the coefficients of the eigenfunctions beyond a certain threshold which is optimal with respect to the observation accuracy. The use of decreasing functions also improves the result compared with the constant bounded algorithm since it can include more low frequency components.

A Three-Dimensional Galerkin-FEM Model Using Similarity Transform Technique (유사변환기법을 이용한 Galerkin-FEM모델)

  • 강관수;소재귀;정경태
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.6 no.2
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    • pp.174-185
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    • 1994
  • This paper presents a modal solution of linear three-dimensional hydrodynamic equations using similarity transform technique. The solution over the vertical space domain is obtained using the Galerkin method with linear shape funtions (Galerkin-FEM model). Application of similarity transform to resulting tri-diagonal matrix equations gives rise 掠 a set of uncoupled partial differential equations of which the unknowns are coefficients of mode shape vectors. The proposed method.

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Wave Reflection over Doubly-Sinusoidally Varying Topographies (복합정현파형 지형에서의 파랑 반사)

  • 김영택;조용식;이정규
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.13 no.3
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    • pp.189-194
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    • 2001
  • The present study describes the Bragg reflection of monochromatic water waves propagating over a train of doubly-sinusoidally varying topographies. A numerical model based on the boundary element method is firstly verified by calculating reflection and transmission coefficients of waves over a trench. Calculated solutions are compared with those of the eigenfunction expansion method. The model is then used to simulated reflection of monochromatic water waves propagating over doubly-sinusoidally varying bottom topographies. Obtained reflection coefficients are compared with those of available laboratory measurements, those of the eigenfunction expansion method and the extended mild-slope equation. A reasonable agreement is shown.

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Educational Meaning of the Nine Chapters (구장산술의 방정식론의 교육학적 의미)

  • Koh, Young-Mee;Ree, Sang-Wook
    • Journal for History of Mathematics
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    • v.23 no.1
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    • pp.25-40
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    • 2010
  • We first seek a principle of cognitive development processes by reviewing and summarizing Piaget's cognitive development theory, constructivism and Dubinsky's APOS theory, and also the epistemology on logics of 墨子 and 荀子. We investigate Chapter 8 方程 on the theory of systems of linear equations, of the Nine Chapters, one of the oldest ancient Asian mathematical books, from the viewpoint of our principle of cognitive development processes. We conclude the educational value of the chapter and the value of the research on Asian ancient mathematical works and heritages.

Optimal Regularized Image Restoration Algorithm based on Backward Diffusion Equation (역확산 방정식을 기반으로한 최적 정규화 영상 복원 알고리즘)

  • 최은철;이석호;강문기
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2000.11b
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    • pp.75-80
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    • 2000
  • 본 논문은 영상복원을 역확산 과정으로 해석하여 복원된 영상을 역확산 방정식의 해로 구하는 알고리즘을 제안한다. 역확산 과정은 물리적으로 불량위치(ill-posed)과정이기 때문에, 이를 정규화 해주어야 하는데 이를 위해서 역확산 과정을 고유함수(eigenfunction)들의 전개로 나타낸 후에 고유함수들의 계수들을 조작하였다. 본 논문에서는 계수들을 조작할 때 영상이 가지고 있는 주파수 특성을 고려하여 한계주파수(cut-off frequency)를 넘은 경우에 계수들을 시간과 주파수의 감소함수로 나타내어 불량위치문제를 해결하였다. 계수를 주파수에 대한 감소함수로 나타낸 것은 영상에 저주파 성분이 많고, 고주파 성분이 영상의 형성에 끼치는 영향이 상대적으로 적다는 영상의 특성을 고려한 것이다. 이러한 감소함수를 사용하였을 때 불량위치 문제를 해결할 수 있다는 것을 증명하였고, 실험적으로 양질의 영상을 산출함을 보였다.

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