• Title/Summary/Keyword: N-difference method

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A FIFTH ORDER NUMERICAL METHOD FOR SINGULAR PERTURBATION PROBLEMS

  • Chakravarthy, P. Pramod;Phaneendra, K.;Reddy, Y.N.
    • Journal of applied mathematics & informatics
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    • v.26 no.3_4
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    • pp.689-706
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    • 2008
  • In this paper, a fifth order numerical method is presented for solving singularly perturbed two point boundary value problems with a boundary layer at one end point. The two point boundary value problem is transformed into general first order ordinary differential equation system. A discrete approximation of a fifth order compact difference scheme is presented for the first order system. An asymptotically equivalent first order equation of the original singularly perturbed two point boundary value problem is obtained from the theory of singular perturbations. It is used in the fifth order compact difference scheme to get a two term recurrence relation and is solved. Several linear and non-linear singular perturbation problems have been solved and the numerical results are presented to support the theory. It is observed that the present method approximates the exact solution very well.

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The Effect of Elastic-band and Stretching Exercise Program on Muscular Strength and Exercise Performance Ability of College Students (탄력밴드 운동프로그램이 대학생의 근력과 운동수행능력에 미치는 영향)

  • Lee, Hyojeong;Park, Sujeong;Shin, Heemun;Lee, Daun;Lee, Jungah;Jeong, Uigyeong
    • Journal of The Korean Society of Integrative Medicine
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    • v.4 no.2
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    • pp.53-65
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    • 2016
  • Purpose : The purpose of this study was to evaluate the effectiveness and analyse the change on muscular strength and exercise performance ability of university students participating in leisure sports by elastic-band exercise program. Method : The subjects(N=22) participating in leisure sports are recruited from K university located in Chungbuk. The subjects which are divided to 2 groups as experimental group(N=11) conducted elastic-band exercise program and control group(N=11) conducted stretching program. The muscular strength and exercise performance ability were measured before and after intervention. Result : There were no significant differences(p>.05) in sex, age, height, and weight among subjects. In the measurement of muscular strength, a significant difference(p<.05) was observed in each group, and there was also significant difference(p<.05) between two groups except gastrocnemius(p>.05). A significant difference(p<.05) in muscular volume was observed in each group, and there was also significant difference(p<.05) between two groups apart from gastrocnemius(p>.05). In exercise performance ability, there was significant difference(p<.05) in sergent jump and side-step in each group, and there was a significant difference(p<.05) between two groups in sergent jump, but there was no significant difference(p>0.5) in side-step. Conclusion : Based on this study, through a variety of age and various intervention period to apply more subjects conducting elastic-band exercise program should continue.

Predicted Air Flow Around Objects Using the Discrete Vortex Method

  • Kim, Tae-Hyeung
    • Journal of Korean Society for Atmospheric Environment
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    • v.9 no.E
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    • pp.347-357
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    • 1993
  • The Lagrangian grid-free numerical method, the discrete vortex method, was applied to solve the Navier-Stokes euqations. This method avoids the introduction of numerical viscosity swamping the real physical viscosity at high Reynolds number, unlike Eulerian method, e.g. finite difference and element methods. The boundary integral equation method for the potential flow solution was included to make the discrete vortex method more feasible for complex geometries. The fast adaptive multipole expansion method was incorporated to reduce the computational time from $O(N^2)$ to O(N) for the computations of vortex-vortex interactions. The test problems were air flow around one circular cylinder and two circular cylinders in tandem with various gaps. The numerical results were in excellent gareement with the experimental and other computational results. The applicabilty of the method was discussed with the indoor and the outdoor air pollution problems, especially the contaminant transport in the recirculation regions.

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A study of Temperal Difference Learning using Nonlinear Function Approximation (비선형 함수 근사화를 사용한 TD학습에 관한 연구)

  • Kwon, Jae-Cheol;Lee, Young-Seog;Kim, Dong-Ok;Seo, Bo-Hyeok
    • Proceedings of the KIEE Conference
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    • 1998.11b
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    • pp.407-409
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    • 1998
  • This paper deals with temporal-difference learning that is a method for approximating long-term future cost as a function of current state in knowlege-poor environment, a function approximator is used to approximate the mapping from state to future cost, a linear function approximator is limited because mapping from state to future cost has a nonlinear characteristic, so a nonlinear function approximator is used to approximate the mapping from state to future cost in this paper, and that TD learning using a nonlinear function approximator is stable is proved.

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Development of the Dripping Speed Measurement System of Medical Liquid using Heuristic (휴리스틱을 이용한 의료 수액 낙하 속도 측정 시스템 개발)

  • Kim, Jung-Sook;Jeong, Junho
    • Journal of the Korean Institute of Intelligent Systems
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    • v.24 no.5
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    • pp.542-547
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    • 2014
  • This paper describes the medical and IT convergence system using a smart phone and a heuristic method for the measurement of the dripping speed of the liquid in a drip chamber, which can estimate the remaining time using pattern recognition and difference image from video frame information based on Android technology. The video frames were first made using a smartphone camera and we calculated the difference image between the n image and the (n-1) image and then changed into binary images using the threshold value. At this point, it is very important to find an optimal threshold value using heuristic method to recognize the dripping of the liquids. In addition, the user can adjust the dripping speed according to the doctor's prescription, exactly like watching the progress bar of a mobile application. The experiment results show that our method using video processing technique accurately measures the dripping speed for a wide range of speeds that are sufficient for ordinary practice.

The Relationships among Drinking Behaviors, Sober Motivation, and Drinking Problems of Citizens living in an Urban Area (일부 도시지역 주민의 음주행태와 절주동기, 문제음주와의 관계)

  • Lee, Hyo Young;Im, Hyuk;Kim, Hye Sook;Kim, Min Jung
    • The Korean Journal of Health Service Management
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    • v.14 no.2
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    • pp.79-91
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    • 2020
  • Objectives: The purpose of this study was to identify a regional difference among drinking behaviors, sober motivation, and drinking problems. Methods: The subjects included 600 citizens living in two regions, Busan. Descriptive analysis, t-test, correlation, and path analysis were used to confirm the regional difference. Results: The path of drinking method on sober motivation was statistically significant in both regions and drinking attitude was found to be a common factor that weakens an individual's sober motivation. Besides, the path of social networking on sober motivation had a difference in statistical significance between the two regions. Finally, the influence of social networks of District N (comparison region) on sober motivation was statistically significant and stronger than that of District D. Conclusions: A social environment-centered intervention to address drinking problems is essential in District N because of its people's tendency to drink together. On the other hand, an individual-focused intervention is preferred in District D where sober motivation is mainly affected by drinking method and attitude.

Performance Analysis of Symbol Timing Recovery for 16QAM System in Rayleigh Fading (레일리 페이딩 환경에서 16QAM 시스템에서 심볼 타이밍 복원의 성능분석)

  • 문재경;김영수;김창주
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.7 no.3
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    • pp.201-210
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    • 1996
  • In this paper, we analyzed performance of a symbol timing recovery scheme for 16QAM Radio system. As a symbol timing recovery scheme, both maximum amplitude method(MAM) and wave difference method(WDM) are analyzed employing a pulse shaping filter, such as raised cosine filter(RCF) and nonlinear filter(NLF). Simulation result shows that the jitter performance of MAM or WDM using NLF is better than that using square root RCF. In order to estimate and compensate for the Rayleigh fading PSAM(Pilot Symbol Assisted Modulation) and space diversity are also employed. Consequently, BER performance of about $10^{-4}$ is obtained for $E_b/N_o$= 20 dB.

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Near Infrared Spectroscopy for Measuring Soil Properties

  • Ryu, Kwan-Shig;Kim, Bok-Jin;Park, Woo-Churl;Cho, Rae-Kwang
    • Near Infrared Analysis
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    • v.1 no.1
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    • pp.37-41
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    • 2000
  • The purpose of this research was to develop a the reflection technique with near infrared (NIR) radiation for estimating soil components. NIR reflectance was scanned at 2nm intervals from 1100 to 2500nm with an InfraAlyzer 500 (Bran & Luebbe Co.). Over 400 soil sample from fields of different crops and land-use over Youngnam and Honam regions were used to obtain mean diffuse reflection of the soil for the calibration and validation of the calibration set in estimating moisture, organic matter (OM) and total nitrogen (T-N) of the soils. Multiple linear regression (MLR) was used to evaluate the correlation of NIR spectroscopy method. Reflection pattern of NIR spectra for finely sized sample (<0.5mm) and coarsely sized soil(<2mm) did not show much difference. The results showed that NIR spectroscopy and coarsely sized soil (<2mm) did not show much difference. The results showed that NIR spectroscopy could be used as a routine soil testing method in estimating OM, moisture, T-N in soil samples simultaneously.

AN INITIAL VALUE METHOD FOR SINGULARLY PERTURBED SYSTEM OF REACTION-DIFFUSION TYPE DELAY DIFFERENTIAL EQUATIONS

  • Subburayan, V.;Ramanujam, N.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.17 no.4
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    • pp.221-237
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    • 2013
  • In this paper an asymptotic numerical method named as Initial Value Method (IVM) is suggested to solve the singularly perturbed weakly coupled system of reaction-diffusion type second order ordinary differential equations with negative shift (delay) terms. In this method, the original problem of solving the second order system of equations is reduced to solving eight first order singularly perturbed differential equations without delay and one system of difference equations. These singularly perturbed problems are solved by the second order hybrid finite difference scheme. An error estimate for this method is derived by using supremum norm and it is of almost second order. Numerical results are provided to illustrate the theoretical results.

A Study on the N-Path SC Tracking Filter using PLL (PLL을 이용한 N-Path SC추적여파기에 관한 연구)

  • Jung, Sung-Hwan;Son, Hyun
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.8 no.3
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    • pp.83-90
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    • 1983
  • N-path SC tracking filter is studied beyond the audio frequency range. First, the SC filter Cell which would determine total SC filter characteristics is analyzed by the two methods, charge equation method and difference equation method. Second, 4-path and 8-path SC filter are presented, including only capacitors and switches. Then, 4-path and 8-path SC tracking filter are constructed by conisting of SC filter block and PLL block. In this experiment, maximum response shift is confirmed. With respect to the capacitor ratios and the number of path, Q and Gain(dB) is considered. Also tracking range is measured.

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