• Title/Summary/Keyword: ${\lambda}_2-Method$

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Inference on Overlapping Coefficients in Two Exponential Populations Using Ranked Set Sampling

  • Samawi, Hani M.;Al-Saleh, Mohammad F.
    • Communications for Statistical Applications and Methods
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    • v.15 no.2
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    • pp.147-159
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    • 2008
  • We consider using ranked set sampling methods to draw inference about the three well-known measures of overlap, namely Matusita's measure $\rho$, Morisita's measure $\lambda$ and Weitzman's measure $\Delta$. Two exponential populations with different means are considered. Due to the difficulties of calculating the precision or the bias of the resulting estimators of overlap measures, because there are no closed-form exact formulas for their variances and their exact sampling distributions, Monte Carlo evaluations are used. Confidence intervals for those measures are also constructed via the bootstrap method and Taylor series approximation.

A detection method for vibrio vulnificus using monoclonal antibodies

  • Chung, Mi-Sun;Rim, Bung-Moo;Boong, Uhm-Tae;Park, Moon-Kook
    • Journal of Microbiology
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    • v.35 no.2
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    • pp.87-91
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    • 1997
  • Monoclonal antibodies were prepared in order to an assay method for Vibrio vulnificus. Sixteen mouse ybridoma cell lines were established by immunization of whole cell antigen to BALB/c mice, fusion with SP2/O myeloma cells, and cloning. Most of them secreted IgM.lambda. antibodies. A sandwich enzyme-linked immunosorbent assay was developed with rabbit anti-V. vulnificus polyclonal antibodies as capture antibody, an IgM monoclonal antibody as detector antibody, and goat anti-mouse IgM-alkaline phosphatase conjugate as developer antibody. The range of detection was 10$\^$4/ to 10 V. vulnificus cells per microplate well. When four related Vibrio species were tested for cross-reactions, V. parahaemolyticus showed 3.5% reactively and V. carchariae, V. fluvialis, and V. furnisii showed negligibal (<1%) cross-reactivity.

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Analysis of Stress Singularities on Interfaces of Friction Welded Dissimilar Materials (마찰용접에 의한 이종재 접합계면에 대한 응력특이성의 해석)

  • Chung, Nam-Yong;Park, Chul-Hee
    • Transactions of the Korean Society of Automotive Engineers
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    • v.13 no.2
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    • pp.142-148
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    • 2005
  • In this paper, the stress singularity on interface of friction welded dissimilar materials was investigated by using 2-dimensional elastic boundary element method. It is required that stress distributions and stress singularities on an interface for friction welded dissimilar materials analize to establish strength evaluation. The stress singularity index ($\lambda$) and stress singularity factor ($\Gamma$) were calculated from the results of stress analysis. The stress singularities on variations for shapes and thickness of friction welded flashes were analized and discussed. This paper suggested that the strength evalution by using the stress singularity factors as fracture parameters, considering the stress singularity on an interface edge of friction welded dissimilar materials were very useful.

INFINITELY MANY SMALL SOLUTIONS FOR THE p&q-LAPLACIAN PROBLEM WITH CRITICAL SOBOLEV AND HARDY EXPONENTS

  • Liang, Sihua;Zhang, Jihui;Fan, Fan
    • Journal of applied mathematics & informatics
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    • v.28 no.5_6
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    • pp.1143-1156
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    • 2010
  • In this paper, we study the following p&q-Laplacian problem with critical Sobolev and Hardy exponents {$-{\Delta}_pu-{\Delta}_qu={\mu}\frac{{\mid}u{\mid}^{p^*(s)-2}u}{{\mid}x{\mid}^s}+{\lambda}f(x,\;u)$, in $\Omega$, u=0, on $\Omega$, where ${\Omega}\;{\subset}\;\mathbb{R}^{\mathbb{N}}$ is a bounded domain and ${\Delta}_ru=div({\mid}{\nabla}u{\mid}^{r-2}{\nabla}u)$ is the r-Laplacian of u. By using the variational method and concentration-compactness principle, we obtain the existence of infinitely many small solutions for above problem which are the complement of previously known results.

A Robust and Computationally Efficient Optimal Design Algorithm of Electromagnetic Devices Using Adaptive Response Surface Method

  • Zhang, Yanli;Yoon, Hee-Sung;Shin, Pan-Seok;Koh, Chang-Seop
    • Journal of Electrical Engineering and Technology
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    • v.3 no.2
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    • pp.207-212
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    • 2008
  • This paper presents a robust and computationally efficient optimal design algorithm for electromagnetic devices by combining an adaptive response surface approximation of the objective function and($1+{\lambda}$) evolution strategy. In the adaptive response surface approximation, the design space is successively reduced with the iteration, and Pareto-optimal sampling points are generated by using Latin hypercube design with the Max Distance and Min Distance criteria. The proposed algorithm is applied to an analytic example and TEAM problem 22, and its robustness and computational efficiency are investigated.

Comparison of Extraction Methods for Determination of Vitamin K1 in Vegetables (채소류의 비타민 K1 분석을 위한 추출방법의 비교)

  • Kim, Hyeongi;Choi, Youngmin;Cho, Young-Sook;Sung, Jeehye;Ham, Hyeonmi;Lee, Junsoo
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.43 no.11
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    • pp.1791-1795
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    • 2014
  • The objective of this study was to compare two extraction methods for determination of vitamin K1 (phylloquinone) in vegetables. In addition, analytical method validation parameters such as accuracy, precision, limit of detection (LOD), limit of quantification (LOQ), and linearity were calculated to ensure the method's validity. Vitamin K1 was quantified by reversed-phase HPLC using post-column derivatization and fluorescence detection ($Ex{\lambda}=243nm$, $Ex{\lambda}=430nm$). Higher analytical values were observed using solvent extraction compared to those from the enzyme extraction method. The results from the method validation showed high linearity in the calibration curve with a coefficient of correlation ($R^2$) of 0.9994. The LOD and LOQ were 0.1335 and 0.2784 ng/injection volume ($50{\mu}L$), respectively. The inter-day precision and inter-day precision were 2.0% and 2.1%, respectively. Overall recovery was close to 100% (n=5). The phylloquinone contents ranged from 9.42 to $1,212.57{\mu}g/100g$. Our study provides reliable data on the phylloquinone contents in commonly consumed vegetables in Korea.

Establishment of Simultaneous Analysis Method for the Detection of Multi-Pesticide Residue Used in Golf Courses (골프장 농약 검사를 위한 다성분 동시분석방법 확립에 관한 연구)

  • Yun, Jeong-Ki;Lee, Min-Hyo;Noh, Hoe-Jung;Park, Jong-Gyum;Kim, Hyuk;Kim, Chan-Sub
    • Journal of Soil and Groundwater Environment
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    • v.11 no.4
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    • pp.18-24
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    • 2006
  • The possibility of multiresidue analysis of 24 pesticides out of 30 residual pesticides which are subjected to test in the golf courses was examined. The utility of multiresidue method for pesticide residue test was evaluated by recovery test through a standard addition method of pesticides in water, soil, and lawn grass. The experimental results of the recovery test for individual pesticides are as follows : The number of pesticide of which average recovery rate was over 70% regardless of media was 16 pesticides. These pesticides were composed of 8 organophosphorus pesticides (chlorpyrifos, chlorpyrifosmethyl, diazinon, EPN, fenitrothion, phenthoate, phosalone, and toclofos-methyl). 4-organochlorinated pesticides (daconil, captan, endosulfan, and tetradifon), 2-pyrethroid pesticides(fenpropathrin, lambda-cyhalothrin) and 2 other pesticides (bromopropylate, pendimethalin). On the other hand, in case of dicofol, average recovery rate was over 70% for water and lawn grass but only 53.3% for soil. Therefore, the multiresidue method applied in this experiment is not appropriate for analysis of dicofol in soil. Furthermore, among 7 pesticides, 2 pesticides(amitraz and pyraclofos) showed that theirs average recovery rate deviated from criteria($70{\sim}130%$) in almost ail media, while 5 pesticides(bensulide, deltamethrin, iprodione, phosphamidon and tralomethlin) were not detected from all media by GC/NPD or GC/ECD.

STRONG CONVERGENCE OF THE MODIFIED HYBRID STEEPEST-DESCENT METHODS FOR GENERAL VARIATIONAL INEQUALITIES

  • Yao, Yonghong;Noor, Muhammad Aslam
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.179-190
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    • 2007
  • In this paper, we consider the general variational inequality GVI(F, g, C), where F and g are mappings from a Hilbert space into itself and C is the fixed point set of a nonexpansive mapping. We suggest and analyze a new modified hybrid steepest-descent method of type method $u_{n+l}=(1-{\alpha}+{\theta}_{n+1})Tu_n+{\alpha}u_n-{\theta}_{n+1g}(Tu_n)-{\lambda}_{n+1}{\mu}F(Tu_n),\;n{\geq}0$. for solving the general variational inequalities. The sequence $\{x_n}\$ is shown to converge in norm to the solutions of the general variational inequality GVI(F, g, C) under some mild conditions. Application to constrained generalized pseudo-inverse is included. Results proved in the paper can be viewed as an refinement and improvement of previously known results.

Analysis of Stress Singularity for the Excess Adhesive of Interface in Adhesively Bonded Joint (접착이음의 계면덧살에 대한 응력특이성 해석)

  • Chung, Nam-Yong;Park, Cheol-Hee
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.21 no.3
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    • pp.439-445
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    • 2012
  • The stress singularity for the excess adhesive on interface of adhesively bonded joint was investigated by using the 2-dimensional elastic boundary element method (BEM). To establish a reasonable strength evaluation method and a fracture criterion for the excess adhesive of interface in adhesively bonded joint, it is necessary to evaluate fracture parameters with various bonding conditions. Under the variations of adhesively bonded thickness (h) and diameter (d) for the excess adhesive, a stress analysis was performed, and from the results, the stress singularity index (${\lambda}$) and the stress singularity factor (${\Gamma}$) were calculated. The variations have a great influences on the stress singularity for the excess adhesive of interface in adhesively bonded joint, and the ${\Gamma}$ is reduced as the "h" and "d" increase.

Collimation testing of a white light beam and measurement of chromatic aberration of a lens by using vernier Moire fringe patterns (버니어 무아레 무늬를 이용한 백색광의 시준 검사 및 렌즈의 색수차 측정)

  • 송종섭
    • Korean Journal of Optics and Photonics
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    • v.11 no.4
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    • pp.232-238
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    • 2000
  • The new collimation testing technique of a white light beam using vernier Moire fringes of two line or circular gratings with different pitches is presented. We can visually measure the defocusing ($\Deltaf$), the divergence angle ($\theta$), and the longitudinal chromatic aberration $(L_{ch})$ of a collimating lens by using the technique. For example, we obtained $\Deltaf$= 21.9 mm and $\theta=0.0038^{\circ}$ for a testing lens with the focallengthf = 120.0 mm and F-number of F/2.4. The longitudinal chromatic aberration $L_{ch}$ of another testing lens withf = 65.0 mm, F/1.6, and the Abbe number V = 64.1 for the incident wavelengths of $\lambda_1=480 nm and \lambda_2=640 nm$ is easily measured by same technique. It is found that the measured value $L_{ch}=1.59mm(\pm0.01mm)$ is well agreed with $L_{ch}=1.58mm(\pm0.01mm)$ obtained by the autofocus method.

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