• Title/Summary/Keyword: R/S method

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ON THE ORDER AND RATE OF CONVERGENCE FOR PSEUDO-SECANT-NEWTON'S METHOD LOCATING A SIMPLE REAL ZERO

  • Kim, Young Ik
    • Journal of the Chungcheong Mathematical Society
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    • v.19 no.2
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    • pp.133-139
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    • 2006
  • By combining the classical Newton's method with the pseudo-secant method, pseudo-secant-Newton's method is constructed and its order and rate of convergence are investigated. Given a function $f:\mathbb{R}{\rightarrow}\mathbb{R}$ that has a simple real zero ${\alpha}$ and is sufficiently smooth in a small neighborhood of ${\alpha}$, the convergence behavior is analyzed near ${\alpha}$ for pseudo-secant-Newton's method. The order of convergence is shown to be cubic and the rate of convergence is proven to be $\(\frac{f^{{\prime}{\prime}}(\alpha)}{2f^{\prime}(\alpha)}\)^2$. Numerical experiments show the validity of the theory presented here and are confirmed via high-precision programming in Mathematica.

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The Study on Earlier Evaluation of Concrete Strength Using Electric Resistance Method (전기 저항법을 이용한 콘크리트 조기 강도 판정에 관한 연구)

  • 김화중;이도현;윤상천;박정민;최신호
    • Proceedings of the Korea Concrete Institute Conference
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    • 1995.04a
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    • pp.130-135
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    • 1995
  • We can consider that the study on early evaluation of strength of concrete is useful to raise safety of building and utility of quality control of concrete is useful to raise safety of building and utility of quality control of concrete. In this paper, was proposed to method early to predict strength of concrete with key parameters, such as Water/Cement(W/C) ratio and Sand / Aggregate(S/A) ratio. Through a series of experiment, the obtained results are summarized as follow. $\circled1$ The ratio of resistance was decteased as the increase of W/C ratio. $\circled2$ The maximum value for the ratio of resistance and compressive strength was presented in the case of 40% S/A ratio. $\circled3$ The relationship. of the ratio of resistance and compressive strength on 28days according to the change of W/C and S/A ratio is to be: $F_{28}=-0.00104R^2 + 2.263R - 935.5$ (W/C Ratio) $F_{28} = 0.007R^2 - 10.693R - 4269.1$ (S/A Ratio)

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Design of the Ultrasonic Motor for Driving Robot Hand (로봇 손 구동용 초음파 모터의 설계)

  • Park, K.J.;Baek, S.H.;Kim, S.H.;Jung, H.K.;Chung, I.R.;Chang, H.S.
    • Proceedings of the KIEE Conference
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    • 1999.07a
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    • pp.121-123
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    • 1999
  • The purpose of this paper is to establish a method of design of the Ultrasonic Motor for Driving Robot Hand. This method is based on two models for the ultrasonic motor(a two dimensional elastic contact model. electric equivalent circuit). And analyzed the basic model which installed in the module to match the suitable standard. As varied external diameter, internal diameter and thickness, the proper ultrasonic motor is implemented to find a targeted resonant-frequency and torque near to designed values.

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The structure analysis of $Y_1Ba_2Cu_3O_x$ high Tc superconductor based on rietveld method (리트벨트 해석법을 이용한 $Y_1Ba_2Cu_3O_x$ 고온 초전도체의 구조분석)

  • 채기병;소대화
    • Electrical & Electronic Materials
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    • v.8 no.6
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    • pp.780-786
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    • 1995
  • For the execution of RIETAN program adopting Rietveld Analysis Method, the sample superconductor is made according to the solid state synthesis method at 920.deg. C for 24hrs, and was examined for the optimization of parameters needed to analyze Rietveld method with the input of the measured pattern data after measuring the pattern resulted from the X-ray diffraction. It was proven that the lattice constant of the superconductor which was consisted of Pmmm orthorhombic crystal structure in the analyzed space group correspond to the presented theoretical lattice constant a=3.8887(8).angs., b=3.8238(4).angs., c=11.7079.angs.. Therefore, it was examined and confin-ned that the R factor, which was compensated after analyzing the structure of superconductor resulted from this experimented data with the computer simulation, was refined to $R_{wp}$=8.83[%], $R_{P}$=6.47[%], $R_{I}$=10.08[%], $R_{F}$=7.19[%], $R_{E}$=3.76[%]. On the basis of these experimental data, the significant parameter such as the scale factor(S) and the zero point shift(Z) and FWHM value(U,V,W) were optimized as follows; S=2.0827E-3, Z=0.2146, U=4.2761E-2, V=1.7983E-2, and W=2.6768E-2.2.2.2.2.2.

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R. L. Moore's Moore Method and its meaning in Korea (Robert Lee Moore의 교수법과 한국에서의 의미)

  • Lee, Sang-Gu;Ree, Sang-Wook;Kim, Duk-Sun
    • Journal for History of Mathematics
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    • v.21 no.1
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    • pp.79-96
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    • 2008
  • In early 21st century, universities in Korea has been asked the new roles according to the changes of educational and social environment. With Korea's NURI and Brain Korea 21 project support, some chosen research oriented universities now should produce "teacher of teachers". We look 100 years back America's mathematics and see many resemblances between the status of US mathematics at that time and the current status of Korean mathematics, and find some answer for that. E. H. Moore had produced many good research mathematicians through his laboratory teaching techniques. R. L. Moore was his third PhD students. He developed his Texas/Moore method. In this article, we analyze what R. L. Moore had done through his American School of Topology and Moore method. We consider the meaning that early University of Texas case gives us in PBL(Problem Based Learning) process.

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Comparison of Culture-dependent and DGGE based Method for the Analysis of Marine Bacterial Community (배양법과 DGGE에 의한 해양세균 군집의 비교분석)

  • Kim, Mal-Nam;Bang, Hyo-Joo
    • Korean Journal of Environmental Biology
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    • v.24 no.4
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    • pp.307-313
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    • 2006
  • Seasonal variation of marine bacterial community was analyzed in the surface sea water collected from one of the stations locating at Tongyeoung coastal area, Korea. The results obtained by the culture method through identification with the VITEK Microbe ID system after pure culture in the selective medium were compared with those obtained by the DGGE based 16S rRNA PCR method. The composition of the marine bacterial community in the sea water samples harvested in September, 2004, November, 2004, January, 2005, May, 2005 and August, 2005 determined by the culture method showed 5, 5, 4, 6, and 10 strains respectively. Pseudomonas fluorescens and Acinetobacter lwoffii were detected in all seasons. The other strains were identified to be Pseudomonas stutzeri, Sphingomonas paucimobilis, Burkholderia mallei and Chryseobacterium indologenes. In contrast, the 16S rRNA PCR-DGGE method detected 10, 11, 6, 9 and 13 populations respectively in the same sea water samples and the strains were identified to be Acinetobacter lwoffii, Burkholderia mallei, Pseudomonas fluoresence, Actinobacillus ureae, Burkholderia sp., Pseudomonas stutzeri, Roseobacter sp., Vibrio parahaemolyticue, Sphingomonas paucimobilis and Rugeria algocolus. This results indicated that the DGGE based 16S rRNA PCR method was more efficient than the culture method for the grasp of the characteristics of the marine bacterial community.

The Study on Earlier Evaluation of Concrete Strength Using Ultra Sonic Velosity Method (초음파 시험에 의한 콘크리트의 조기 강도 판정에 관한 연구)

  • 김화중;이도헌;윤상천;박정민;최신호
    • Proceedings of the Korea Concrete Institute Conference
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    • 1995.04a
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    • pp.136-141
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    • 1995
  • The early evaluation on strength of concrete is useful to achieve on quality control and improvement of properties of concrete. Especially, we could say that the confidence of construction is increased by the increase durability and safety building, due to early evaluation. In this study, was proposed to ultra-sonic pulse method as a early evaluation method for strength of concrete with main parameter, sush as W/C ratio and S/A ratio. The experiment results are summarized to follow as : $\circled1$ The ultra-sonic pulse was decreased as the increase of W/C ratio. $\circled2$ The maximum value for the ultra-sonic pulse velocity and compressive strength was presented in the case of 40% S/A ratio and these value was decreased as the change of S/A ratio over 40% $\circled1$ The relationship of the ultra-sonic pulse velocity and compressive strength on 28days according to the change of W/C and S/A ratio is to be: $F_{28} = -209193R^2 + 384417R - 1763441$(W/C Ratio) $F_{28} = 1726R^2 - 774R - 502 (S/A Ratio)

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Adaptive Control of D.C. Motor Speed Using W.L.S. Algorithm (W.L.S. 알고리즘을 사용한 직유전동기 속도의 적응제어)

  • Park, Jun;Kwon, Key-Ho;Choi, Kye-Keun
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.20 no.5
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    • pp.31-36
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    • 1983
  • The indirect M.R.A.C. method using the W.L.S. algorithm is applied to the speed control of a D.C. motor on the assumption that the motor is the 1-st order, completely controllable and observable, non-minimum phase plant. By the help of M6809 microprocessor system the experiments are performed with respect to the sinusoidal and square reference input. The results show that the speed of a D.C. motor is well controlled by the indirect M.R.A.C. method using W.L.S, algorithm, and that the W.L.S. algorithm is quite suitable to the time-varying plant.

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A study on synthetic risk management on market risk of financial assets(focus on VaR model) (시장위험에 대한 금융자산의 종합적 위험관리(VaR모형 중심))

  • 김종권
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.22 no.49
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    • pp.43-57
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    • 1999
  • The recent trend is that risk management has more and more its importance. Neverthless, Korea's risk management is not developed. Even most banks does gap, duration in ALM for risk management, development and operation of VaR stressed at BIS have elementary level. In the case of Fallon and Pritsker, Marshall, gamma model is superior to delta model and Monte Carlo Simulation is improved at its result, as sample number is increased. And, nonparametric model is superior to parametric model. In the case of Korea's stock portfolio, VaR of Monte Carlo Simulation and Full Variance Covariance Model is less than that of Diagonal Model. The reason is that VaR of Full Variance Covariance Model is more precise than that of Diagonal Model. By the way, in the case of interest rate, result of monte carlo simulation is less than that of delta-gamma analysis on 95% confidence level. But, result of 99% is reversed. Therefore, result of which method is not dominated. It means two fact at forecast on volatility of stock and interest rate portfolio. First, in Delta-gamma method and Monte Carlo Simulation, assumption of distribution affects Value at Risk. Second, Value at Risk depends on test method. And, if option price is included, test results will have difference between the two. Therefore, If interest rate futures and option market is open, Korea's findings is supposed to like results of other advanced countries. And, every banks try to develop its internal model.

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Genetic Diversity and Molecular Phylogeny of Cyanobacteria from Sri Lanka Based on 16S rRNA Gene

  • Wanigatunge, R.P.;Magana-Arachchi, D.N.;Chandrasekharan, N.V.;Kulasooriya, S.A.
    • Environmental Engineering Research
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    • v.19 no.4
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    • pp.317-329
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    • 2014
  • The diversity of cyanobacteria in Sri Lanka was studied in different water reservoirs, paddy fields, brackish water and tsunami affected areas using light microcopy, 16S rRNA sequences, followed by phylogenetic analysis. Based on light microscopy, 24 genera were identified from environmental samples belonging to the orders Chroococcales, Oscillatoriales, Pleurocapsales and Nostocales. In cultures, 33 genera were identified from all five cyanobacterial orders, including Stigonematales. Based on 16S rRNA gene sequences and their morphology, two isolates were identified up to species level, 72 to genus level, one isolate up to family and 11 up to order level. Twelve isolates couldn't be assigned to any taxonomic level. The results of 16S rRNA gene sequences along with the phylogenetic analysis indicated that some cyanobacterial isolates could be accommodated to genus or order level. The 16S rRNA sequence analysis data in this study confirmed that order Nostocales and order Pleurocapsales cyanobacteria are monophyletic while orders Chroococcales, Oscillatoriales and Stigonematales cyanobacteria are polyphyletic. Polyphasic approach including the combination of light microscopy, cultures and the analysis of 16S rRNA gene sequences provide a promising approach to ascertain the diversity of cyanobacteria in different habitats.