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

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PHOTOMETRIC AND RADIAL VELOCITY CURVES ANALYSES OF THE TRIPLE SYSTEM $\lambda$ TAURI (삼중성 $\lambda$ TAURI의 광도곡선 분석과 시선속도의 분석)

  • 이용삼;권수진
    • Journal of Astronomy and Space Sciences
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    • v.12 no.1
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    • pp.30-43
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    • 1995
  • New UBVRI observations of triple star $\lambda$ Tau were made at Chungbuk Ntional University Observatory for 31 nights from Dec. 1990 to Jan. 1994. A total of 2930 photometric observations were obtained with 586 points for each filters, and BVRI light curves were constructed. From the primary light curves, the one times of primary minimum light was determined with a new light element. The photometric solutions of light curves for $\lambda$ Tau were calculated by using Wilson-Devinney method with our BVRI light curves and the BV light curves obtained by Grant(1959). We determined spectroscopic solutions that were satisfied with these two light curves and the radial velocity curves had been collected by Fekel and Tomkin (1982). From these values, absolute dimensions for this system were estimated. The radius and mass for the primary star are turned out to be $8.3R_\odot$ and $8.1m_\odot$, and $6.5R_\odot$ and $2.1m_\odot$ for the secondary star, respectively.

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Rank Decision of Ecological Environment Assessment Field Introducing Fuzzy Integral (퍼지적분을 도입한 생태환경평가부문의 순위결정)

  • You, Ju-Han;Jung, Sung-Gwan;Choi, Won-Young;Lee, Woo-Sung
    • Journal of the Korean Institute of Landscape Architecture
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    • v.34 no.5 s.118
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    • pp.39-51
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    • 2006
  • This study was carried out to provide guidance to environmental policy makers when deciding which assessment fields (biotic, abiotic, qualitative, functional) should have priority for ecological preservation and to develop an objective and scientific methodology by introducing the engineering concept of the fuzzy integral. The grant of weights was used the eigenvalues calculated by factor analysis, and the converted values of indicators were obtained in multiplying the arithmetic values and eigenvalues. The results of the appropriateness and reliability of assessment fields were examined over 0.6, and the results showed that the design of questionnaire presented no great problems. When the fuzzy integral was calculated to determine the rankings at ${\lambda}$=1, 2, 3, 4, 5, respectively, they were 0.646, 0.630, 0.943, 1.423, and 1.167 for the biotic field, 1.298, 1.400, 0.901, 0.580, and 1.456 for the abiotic field, 0.714, 0.674, 0.346, 0.674, and 1.610 in the qualitative field and 1.000, 0.973, 0.943, 1.024, and 1.008 in the functional field. The sensitivity to ${\lambda}$ value showed that ${\lambda}=4$ was the most suitable. In comparison with ${\lambda}=0$ (the arithmetic mean), the range of change was narrow. Because the range for ${\lambda}=4$ was narrower than my other values, ${\lambda}=4$ was sure to be available in ranking-decision. The fuzzy integral is expected to be a method for analyzing and filtering human thoughts. In the future, in order to overcome linguistic uncertainty and subjectivity, other fuzzy integral models including Sugeno's method, AHP, and so forth should be used.

A THIRD-ORDER VARIANT OF NEWTON-SECANT METHOD FINDING A MULTIPLE ZERO

  • Kim, Young Ik;Lee, Sang Deok
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.4
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    • pp.845-852
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    • 2010
  • A nonlinear algebraic equation f(x) = 0 is considered to find a root with integer multiplicity $m{\geq}1$. A variant of Newton-secant method for a multiple root is proposed below: for n = 0, 1, $2{\cdots}$ $$x_{n+1}=x_n-\frac{f(x_n)^2}{f^{\prime}(x_n)\{f(x_n)-{\lambda}f(x_n-\frac{f(x_n)}{f^{\prime}(x_n)})\}$$, $$\lambda=\{_{1,\;if\;m=1.}^{(\frac{m}{m-1})^{m-1},\;if\;m{\geq}2$$ It is shown that the method has third-order convergence and its asymptotic error constant is expressed in terms of m. Numerical examples successfully verified the proposed scheme with high-precision Mathematica programming.

A Study on the Structure of the Dust Cloud Around ${\lambda}$-Orionis

  • Lee, Duk-Hang;Seon, Kwang-Il
    • The Bulletin of The Korean Astronomical Society
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    • v.39 no.1
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    • pp.60.2-60.2
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    • 2014
  • The dust cloud around ${\lambda}$-Orionis is seen to be circular symmetric with the large angular extent (${\sim}8^{\circ}$). However, whether the three dimensional structure of the cloud is shell or torus ring is not yet fully resolved. We studied the structure of the dust cloud using a three-dimensional Monte-Carlo simulation code, MoCafe (Monte Carlo radiative transfer). The dust density structure of the cloud was inferred based on the star-count method. We assumed that the cloud is a spherical shell or a torus ring and calculated the radial profiles of scattered light originating from a central OB association. Comparison of the results with the S2/68 ultraviolet observations indicates that the cloud is a spherical shell. We also compared the Av map around ${\lambda}$-Orionis with the optical depth obtained based on the star-count.

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The Measurement Method of Thermal Conductivity and Diffusivity of Thin Paint Layer Sprayed on Solid Surface (고체표면에 도포한 도료 박막의 열전도율과 열확산율의 측정법)

  • Kim, Eun-young;Park, Soo-Chun;Kim, Byung-Mun;Lee, Doug-Bong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.23 no.3
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    • pp.311-319
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    • 1999
  • The thermal conductivity ${\lambda}_b$, thermal diffusivity ${\alpha}_b$ of the thin black paint layer sprayed on solid surface and absorptivity a for laser beam are measured by applying a non-contact measurement method of the thermophysical properties of solids. The values of a=0.67, ${\lambda}_b=1.45W/mK$ and ${\alpha}_b=1.24{\times}10^{-6}m^2/s$ are obtained for the sprayed lay~ thickness $z_b{\fallingdotseq}40\;{\mu}m$. Furthermore, for the $z_b{\fallingdotseq}24\;{\mu}m$ thick layers which arc formed by rubbing with a glass rod after spraying, the values of a=0.73, ${\lambda}_b=1.85W/mK$. and ${\alpha}_b=1.09{\times}10^{-6}m^2/s$ are obtained. It is also shown that the present thermal diffusivity ${\alpha}_b$ for $z_b{\fallingdotseq}40\;{\mu}m$ Is about 30~80% larger than those obtained by Araki et al. for the thicker layer $z_b{\fallingdotseq}150{\sim}248\;{\mu}m$. This method could be applied to the measurement of thermophysical properties of thin layer on solids.

An Evaporative System Monitoring Method Using a Virtual HC Sensor (가상 HC 센서를 이용한 Evaporative System Monitoring 방법에 대한 연구)

  • 서진호;박재홍;윤형진
    • Transactions of the Korean Society of Automotive Engineers
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    • v.11 no.2
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    • pp.40-47
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    • 2003
  • This paper presents a new evaporative system monitoring method using a virtual HC sensor for an automotive on-board diagnosis. A development was made at providing mathematical expressions from the lambda control information to estimate the HC mass flow purged into the intake manifold from the canister for implementing a virtual HC sensor. The change of the lambda averagevalue reflected the influence of the additional fuel from purging results the sensor estimation of the purged HC amount. Based on this virtual HC sensor, a new evaporative system monitoring method was proposed comparing the amount of purged HC amount with the amount of the HC gas evaporated from the fuel tank and absorbed into the canister. Finally, the method was validated with a simulation using the data logged from the retail car.

GENERATION OF SIMPLEX POLYNOMIALS

  • LEE JEONG KEUN
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.797-802
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    • 2005
  • We generate simplex polynomials by using a method, which produces an OPS in (d + 1) variables from an OPS in d variables and the Jacobi polynomials. Also we obtain a partial differential equation of the form $${\Sigma}_{i,j=1}^{d+1}\;A_ij{\frac{{\partial}^2u}{{\partial}x_i{\partial}x_j}}+{\Sigma}_{i=1}^{d+1}\;B_iu\;=\;{\lambda}u$$, which has simplex polynomials as solutions, where ${\lambda}$ is the eigenvalue parameter.

A 2-D four-noded finite element containing a singularity of order λ

  • Abdel Wahab, M.M.;de Roeck, G.
    • Structural Engineering and Mechanics
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    • v.3 no.4
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    • pp.383-390
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    • 1995
  • A 2-D four-noded finite element which contains a ${\lambda}$ singularity is developed. The new element is compatible with quadratic standard isoparametric elements. The element is tested on two different examples. In the first example, an edge crack problem is analyzed using two different meshes and different integration orders. The second example is a crack perpendicular to the interface problem which is solved for different material properties and in turn different singularity order ${\lambda}$. The results of those examples illustrate the efficiency of the proposed element.

N-Terminal Sequences of ${\lambda}$-type Bence Jones Proteins (${\lambda}$형(型) Bence Jones 단백질(蛋白質)의 N 말단주변(末端周邊)의 아미노산배열순서(酸配刻順序)에 관한 연구(硏究))

  • Kim, Jun-Pyong
    • Applied Biological Chemistry
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    • v.13 no.1
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    • pp.65-72
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    • 1970
  • Two peptides (Im pr-M, Im ch-M) derived from Im ${\lambda}-type$ of Bence Jones Protein and one peptide (Ikch-M) from Ik were separated and purified using the Dowex $50{\times}2$ column $(1{\times}20\;cm)$ and Dowex $1{\times}2(0.9{\times}50\;cm)$. The buffer solution was composed of 1% pyridine and IM formic acid in Dowex $1{\times}2$ column. The blocked N-terminal was examined with ninhydrin reaction before and after alkaline hydrolysis, which was fractionated by Dowex $1{\times}2$ column. Pyrro-glutamic acid in N-terminal residue was identified by comparing with the authentic pyrro-glutamic acid through a high voltage electrophoresis (pH 3.5, 3000 V.) after the peptide Im pr-M (PCA. Ser) was cleavaged at the position of serine with cone. (12 N) HCl and the pyrro-glutamic acid was converted to glutamic acid by treating it with N-NaOH for 116 hours at $27^{\circ}C$. The substractive method was applied to find out the sequence of peptides and carboxypeptidase A was employed to release C-terminal residue from the peptide. In present study PCA. Ser in Im Pr-M was isolated from the pronase digested ${\lambda}$-type Bence Jones protein. The yield of the Im Pr-M was 79.6 percent of its theoretical value, based on the molecular weight of Bence Jones Protein. Im ch-M (PCA. Ser Val. Leu) was isolated from the chymotrypsin digested ${\lambda}$-type Bence Jones Protein. The yield of the Im ch-M was 72.2 percent. based on the molecular weight of Bence Jones Protein. Ik ch-M (PCA. Ser. Ala. Leu) was isolated from the chymotrypsin digested ${\lambda}$-type Bence Jones Protein and its yield was 42% based on the molecular weight of Bence Jones Protein.

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Analysis of th estress intensity factor of mode I crack in a finite width plate with variable thickness (두께가 變化하는 有限幅板材에서의 모우드 I 龜裂 應力擴大係數 解析)

  • 양원호;방시항
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.1
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    • pp.132-144
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    • 1987
  • This paper presents the theroetical analysis of the crack tip stress intensity factor for a center crack in a finite width plate with variable thickness. The analyses were based on Laurent's expansions of complex stress potentials where the expansion coefficients are determined from the boundary conditions. The perturbation method was employed in numerical calculations. The correction factor F(.lambda.)is given in the form of power series of .lambda. [a numerical formula] where .lambda.=a/w$^{1}$; Dimensionless crack length, .betha.=t$_{2}$/t; Thickness ratio .omega.=w$_{2}$/w$_{1}$; width ratio The correction factor values vary with the width ratio .omega. and the maximum variation occurs around .betha.=1. For the case of .betha.=1 or .betha.=0 (uniform thickness plate0, the correction factor values agree well with Feddersen's formula. In all cases, as .lambda. approaches to 1 (thickness interface), the correction factor values are decreased rapidly for .betha.>1, and increased rapidly for .betha.<1.