• Title/Summary/Keyword: jump discontinuity

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Moving Estimates Test for Jumps in Time Series Models

  • Na, O-Kyoung;Lee, Seon-Joo;Lee, Sang-Yeol;Choi, In-Bong
    • Communications for Statistical Applications and Methods
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    • v.13 no.2
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    • pp.205-217
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    • 2006
  • In this paper, we consider the problem of testing for a change of the parameter function ${\theta}(t)$ that may have a discontinuity at some unknown point ${\tau}$. We introduce a varying-h moving estimate to test the null hypothesis that ${\theta}(t)$ is continuous against the alternative that ${\theta}({\tau}-){\neq}{\theta}({\tau}+)$. Simulation results are provided for illustration.

Compatibility of Continuous Rabi Oscillation and Discontinuous Quantum Jumps (연속적 라비 진동과 불연속적 양자도약의 양립성)

  • Chough, Young-Tak;Kim, Kisik
    • Korean Journal of Optics and Photonics
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    • v.23 no.2
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    • pp.77-86
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    • 2012
  • The connection between the continuousness of Rabi oscillation and the discontinuity of quantum jumps has long remained one of the conceptual difficulties since the discovery of the quantum physical paradigm. In this study, however, we demonstrate that the behavior of the atom-field composite system gradually changes from the continuous Rabi interaction to the discontinuous quantum jumps as the atom-field coupling strength is reduced. The reduction occurs through enlarging the quantization volume of the mode so that the mode approaches one of the infinitely many modes of the thermal background.

Shape Design Sensitivity Analysis for Interface Problem in Axisymmetric Elasticity

  • Choi, Joo-Ho;Lee, Boo-Youn;Han, Jung-Suk
    • Journal of Mechanical Science and Technology
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    • v.14 no.2
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    • pp.197-206
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    • 2000
  • A boundary integral equation method in the shape design sensitivity analysis is developed for the elasticity problems with axisymmetric non-homogeneous bodies. Functionals involving displacements and tractions at the zonal interface are considered. Sensitivity formula in terms of the interface shape variation is then derived by taking derivative of the boundary integral identity. Adjoint problem is defined such that displacement and traction discontinuity is imposed at the interface. Analytic example for a compound cylinder is taken to show the validity of the derived sensitivity formula. In the numerical implementation, solutions at the interface for the primal and adjoint system are used for the sensitivity. While the BEM is a natural tool for the solution, more generalization should be made since it should handle the jump conditions at the interface. Accuracy of the sensitivity is evaluated numerically by the same compound cylinder problem. The endosseous implant-bone interface problem is considered next as a practical application, in which the stress value is of great importance for successful osseointegration at the interface. As a preliminary step, a simple model with tapered cylinder is considered in this paper. Numerical accuracy is shown to be excellent which promises that the method can be used as an efficient and reliable tool in the optimization procedure for the implant design. Though only the axisymmetric problem is considered here, the method can be applied to general elasticity problems having interface.

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Finite Element Analysis of Gradually and Rapidly Varied Unsteady Flow in Open Channel : II. Applications (개수로내의 점변 및 급변 부정류에 대한 유한요소해석 : II. 적용예)

  • Han, Geon-Yeon;Park, Jae-Hong;Lee, Eul-Rae
    • Journal of Korea Water Resources Association
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    • v.30 no.1
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    • pp.35-44
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    • 1997
  • Petrov-Galerkin finite element model for analyzing dynamic wave equation is applied to gradually and rapidly varied unsteady flow. The model in verified by applying to hydraulic jump, nonlinear disturbance propagation in frictionless horizontal channel and dam-break analysis. It shows stable and accurate results compared with analytical solutions for various cases. The model in applied to a surge propagation in a frictionless horizontal channel. Three-dimensional water surface profiles show that the computed result converges to the analytical one with sharp discontinuity. The model is also applied to the Taehaw River to analyze unsteady floodwave propagation. The computed results have good agreements with those of DWOPER model in terms of discharge and stage hydrographs.

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Thermographic Inspection of Fatigue Crack by Using Contact Thermal Resistance (접촉 열저항 효과를 이용한 피로균열의 적외선검사)

  • Yang, Seungyong;Kim, Nohyu
    • Journal of the Korean Society for Nondestructive Testing
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    • v.33 no.2
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    • pp.187-192
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    • 2013
  • Fatigue crack was detected from a temperature change around surface crack using the thermographic technique. Thermal gradient across the crack decreased very much due to thermal resistance of contact surface in the crack. Heat diffusion flow passing through the discontinuity was visualized in temperature by infrared camera to find and locate the crack. A fatigue crack specimen(SM-45C), which was prepared according to KS specification and notched in its center to initiate fatigue crack from the notch tip, was heated by halogen lamp at the end of one side to generate a heat diffusion flow in lateral direction. A abrupt jump in temperature across the fatigue crack was observed in thermographic image, by which the crack could be located and sized from temperature distribution.

A numerical simulation of propagating turbidity currents using the ULTIMATE scheme (ULTIMATE 기법을 이용한 부유사 밀도류 전파 수치모의)

  • Choi, Seongwook;Choi, Sung-Uk
    • Journal of Korea Water Resources Association
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    • v.50 no.1
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    • pp.55-64
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    • 2017
  • This study presents a numerical model for simulating turbidity currents using the ULTIMATE scheme. For this, the layer-averaged model is used. The model is applied to laboratory experiments, where the flume is composed of sloping and flat parts, and the characteristics of propagating turbidity currents are investigated. Due to the universal limiter of the ULTIMATE scheme, the frontal part of the turbidity currents at a sharp gradient without numerical oscillations is computed. Simulated turbidity currents propagate super-critically to the end of the flume, and internal hydraulic jumps occur at the break-in-slope after being affected by the downstream boundary. It is found that the hydraulic jumps are computed without numerical oscillations if Courant number is less than 1. In addition, factors that affect propagation velocity of turbidity currents is studied. The particle size less than $9{\mu}m$ does not affect propagation velocity but the buoyancy flux affects clearly. Finally, it is found that the numerical model computes the bed elevation change due to turbidity currents properly. Specifically, a discontinuity in the bed elevation, arisen from the hydraulic jumps and resulting difference in sediment entrainment, is observed.