• Title/Summary/Keyword: beta distribution

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3D Flow Simulation in the Meandering Natural Channel (사행 자연수로에서의 3차원 흐름 모의)

  • Son, Min-Woo;Baek, Kyoung-Oh;Kim, Sang-Ug
    • Proceedings of the Korea Water Resources Association Conference
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    • 2006.05a
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    • pp.1661-1665
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    • 2006
  • In a natural river, cross sections of a channel vary according to inner or outer parts of meandering. Generally, depth of outer parts is deeper than that of inner parts. This kind of cross section change by meandering can be demonstrated by Beta distribution. The objects of this research is a 3D simulation of primary and secondary flow in the meandering natural channel. FLOW-3D program, a numerical model using CFD technique, and LES method was used for this research. 3D simulations were conducted in the channels having Beta distribution cross sections which have beds of mortar, gravel and vegetation. Two types of water stages and discharge were applied to each channel. In this research, primary flows are located in the outer parts of a top of bend and secondary flows rotate in the bottom on outer parts.

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Constraining the Mass Loss Geometry of Beta Lyrae

  • Lomax, Jamie R.
    • Journal of Astronomy and Space Sciences
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    • v.29 no.1
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    • pp.47-49
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    • 2012
  • Massive binary stars lose mass by two mechanisms: jet-driven mass loss during periods of active mass transfer and by wind-driven mass loss. Beta Lyrae is an eclipsing, semi-detached binary whose state of active mass transfer provides a unique opportunity to study how the evolution of binary systems is affected by jet-driven mass loss. Roche lobe overflow from the primary star feeds the thick accretion disk which almost completely obscures the mass-gaining star. A hot spot predicted to be on the edge of the accretion disk may be the source of beta Lyrae's bipolar outflows. I present results from spectropolarimetric data taken with the University of Wisconsin's Half-Wave Spectropolarimeter and the Flower and Cook Observatory's photoelastic modulating polarimeter instrument which have implications for our current understanding of the system's disk geometry. Using broadband polarimetric analysis, I derive new information about the structure of the disk and the presence and location of a hot spot. These results place constraints on the geometrical distribution of material in beta Lyrae and can help quantify the amount of mass lost from massive interacting binary systems during phases of mass transfer and jet-driven mass loss.

The Mechanical and Tribological Properties of Silicon Carbide Bodies (탄화규소 소결체의 기계적 특성 및 마찰마모)

  • 이승훈;김홍기;김영호;이경희
    • Journal of the Korean Ceramic Society
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    • v.31 no.11
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    • pp.1307-1314
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    • 1994
  • The aim of this work is to show the way of manufacturing the SiC mechanical seal at the low temperature of 130$0^{\circ}C$ using clay and frit as source of secondary phase. $\alpha$-SiC and $\beta$-SiC powder which showed different distribution of particle were used as starting materials, i.e. average particle size of $\alpha$-SiC was larger than that of $\beta$-SiC. The mechanical and tribological properties of two groups of specimen, i.e. one contained mainly larger $\alpha$-SiC powder and the other mainly fine particle $\beta$-SiC, were measured. The specimen consisted of larger $\alpha$-SiC exhibited lower density flexural strength and wear resistance is comparison with these of sample containning mainly $\beta$-SiC . This difference could be originated from the dependence of capillary force on the particle size. For the larger SiC particle, the liquid phase may not fill the whole pores during sintering, due to low capillary force, whereas the liquid phase can infiltrate into the small ores surrounded small $\beta$-SiC particle. Thus, the course of high flexural strength and high wear resistance of specimen prepared using small particles can be explaced from the easy infiltration of liquid phase.

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Characterization of Monocrystalline $\beta-SiC$ Thin Film Grown by Chemical Vapor Deposition

  • Kim H. J.;Davis R. F.
    • Proceedings of the Korean Ceranic Society Conference
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    • 1986.12a
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    • pp.287-304
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    • 1986
  • High quality monocrystalline $\beta$-SiC thin films were grown via two-step process of conversion of the Si(100) surface by reaction with $C_2H_4$ and the subsequent chemical vapor deposition (CVD) at $1360^{\circ}C$ and 1 atm total pressure. Four dopants, B and Al and p-type, and N and P for n-type, were also incorporated into monocrystalline $\beta$-SiC thin films during the CVD growth process. IR and Raman spectroscopies were used to evaluate the quality of the undoped $\beta$-SiC thin films and to investigate the effects of dopants on the structure of the doped $\beta$-SiC thin films. The changes in the shape of IR and Raman spectra of the doped thin films due to dopants were observed. But the XTEM micrographs except for the B-doped and annealed films showed the same density and distribution of stacking faults and dislocations as was seen in the undoped samples, The IR and Raman spectra of the B-doped and annealed films showed the broad and weak bands and one extra peak at the 850 $cm^{-1}$ respectively. The SAD pattern and XTEM micrograph of the B-doped and annealed film provided the evidence for twinning.

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Beryllium Effects on the Morphology of Iron Intermetallics in the A356 Aluminium Casting Alloy (주조용 A356합금에서 Fe계 금속간화합물의 형상에 미치는 Be의 영향)

  • Lee, Jeong-Keun;Park, Chong-Sung;Kim, Myung-Ho
    • Journal of Korea Foundry Society
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    • v.18 no.4
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    • pp.357-363
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    • 1998
  • Microstructure of A356 aluminium alloys cast in a permanent mold was investigated by optical microscope and image analyzer, with particular respect to the shape and size distribution of iron intermetallics known as ${\beta}-phase$ ($Al_5FeSi$). Morphologies of the ${\beta}-phase$ was found to change gradually with the Be:Fe ratio like these. In Be-free alloys, ${\beta}-phase$ with needlelike morphology was well developed, but script phase was appeared when the Be:Fe ratio is above 0.2:1. With the Be:Fe ratios of 0.4:1-1:1, script phase as well as Be-rich phase was also observed. In case of higher Be addition, above 1:1, Be-rich phase was observed on all regions of the specimens, and increasing of the Be:Fe ratios gradually make the Be-rich phase coarse. It was also observed that the ${\beta}-phase$ with needlelike morphology was coarsened with increase of the Fe content in Be-free alloys. However, in Be-added alloys, length and number of these ${\beta}-phases$ were considerably decreased with the increased Be:Fe ratio. It was concluded that Fe impurity element to be crystallized into needlelike intermetallics was tied up by Be addition element, and new phases were crystallized into script or Be-rich intermetallics.

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The Ownership of the Largest Family Blockholders and Korean Firm Risk

  • KIM, Hung Sik;CHO, Kyung-Shick
    • The Journal of Asian Finance, Economics and Business
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    • v.8 no.3
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    • pp.287-296
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    • 2021
  • This paper investigates the relationship between the ownership of the largest family blockholders and corporate risk. We also examine whether firms that belong to 30 main Chaebol groups lower corporate risk. We use panel analysis for companies listed on the Korea Exchange from 2005 to 2017. We use beta, volatility, and idiosyncratic risk as a proxy for corporate risk. We employ both the ownership of the largest family blockholders and firms that belong to 30 main Chaebol groups as a major independent variable. The results show that the ownership of the largest family blockholders is associated with low beta. In terms of the effects of the ownership of the largest family blockholders on beta, we find that a firm that belongs to the 30 main Chaebol group reinforces the lower beta. These results suggest that the ownership of the largest family blockholders and firms that belongs to 30 main Chaebol groups may be associated with low systematic risk in the Korean stock market. Our findings can provide meaningful information to investors and field officers who are interested in the relationship between firm risk and both the largest family blockholders' ownership and firms that belong to 30 main Chaebol groups.

Analysis of Radiation Dose on Single Cells Using Therapeutic Radioisotopes Using the Monte Carlo Method (몬테카를로 방법을 이용한 치료용 방사성동위원소 사용 시 단일 세포에 대한 선량 분석)

  • Kim, Jung-Hoon;Kim, Yu-Soo
    • Journal of radiological science and technology
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    • v.45 no.5
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    • pp.433-438
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    • 2022
  • Targeted radionuclides treatment (TRT) requires the establishment of treatment plans that consider various factors, such as the type of radionuclides, target organs, and administration methods. For this reason, in this study, the absorption dose of a single cell was analyzed according to the type of radioisotope used to treat target radionuclides. In this study, a simulation was performed on beta rays used in the treatment of target radionuclides at the cell level using MCNPX (ver. 2.5.0). First, according to the calculation formula, the beam path according to the type of radioisotope for treatment was calculated. Second, the amount of self-radiation by beta rays emitted from cell diameters of 5 ㎛ and 10 ㎛ cell nuclei was evaluated. As a result, it showed a high range proportional to the maximum energy of the beta-ray, and the highest self-dose distribution from 177 Lu radiation sources among therapeutic radioisotopes. This was analyzed as a result that is inversely proportional to the maximum energy of the beta-ray, and it suggests that the selection of a nuclide considering the range of the beta-ray is necessary in the treatment of target radionuclides in the future.

An Alternative Perspective to Resolve Modelling Uncertainty in Reliability Analysis for D/t Limitation Models of CFST (CFST의 D/t 제한모델들에 대한 신뢰성해석에서 모델링불확실성을 해결하는 선택적 방법)

  • Han, Taek Hee;Kim, Jung Joong
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.28 no.4
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    • pp.409-415
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    • 2015
  • For the design of Concrete-Filled Steel Tube(CFST) columns, the outside diameter D to the steel tube thickness t ratio(D/t ratio) is limited to prevent the local buckling of steel tubes. Each design code proposes the respective model to compute the maximum D/t ratio using the yield strength of steel $f_y$ or $f_y$ and the elastic modulus of steel E. Considering the uncertainty in $f_y$ and E, the reliability index ${beta}$ for the local buckling of a CFST section can be calculated by formulating the limit state function including the maximum D/t models. The resulted ${beta}$ depends on the maximum D/t model used for the reliability analysis. This variability in reliability analysis is due to ambiguity in choosing computational models and it is called as "modelling uncertainty." This uncertainty can be considered as "non-specificity" of an epistemic uncertainty and modelled by constructing possibility distribution functions. In this study, three different computation models for the maximum D/t ratio are used to conduct reliability analyses for the local buckling of a CFST section and the reliability index ${beta}$ will be computed respectively. The "non-specific ${beta}s$" will be modelled by possibility distribution function and a metric, degree of confirmation, is measured from the possibility distribution function. It is shown that the degree of confirmation increases when ${beta}$ decreases. Conclusively, a new set of reliability indices associated with a degree of confirmation is determined and it is allowed to decide reliability index for the local buckling of a CFST section with an acceptable confirmation level.

THE GEOMETRY OF THE DIRICHLET MANIFOLD

  • Zhong, Fengwei;Sun, Huafei;Zhang, Zhenning
    • Journal of the Korean Mathematical Society
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    • v.45 no.3
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    • pp.859-870
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    • 2008
  • In the present paper, we investigate the geometric structures of the Dirichlet manifold composed of the Dirichlet distribution. We show that the Dirichlet distribution is an exponential family distribution. We consider its dual structures and give its geometric metrics, and obtain the geometric structures of the lower dimension cases of the Dirichlet manifold. In particularly, the Beta distribution is a 2-dimensional Dirich-let distribution. Also, we construct an affine immersion of the Dirichlet manifold. At last, we give the e-flat hierarchical structures and the orthogonal foliations of the Dirichlet manifold. All these work will enrich the theoretical work of the Dirichlet distribution and will be great help for its further applications.

Comparison of Best Invariant Estimators with Best Unbiased Estimators in Location-scale Families

  • Seong-Kweon
    • Communications for Statistical Applications and Methods
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    • v.6 no.1
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    • pp.275-283
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    • 1999
  • In order to estimate a parameter $(\alpha,\beta^r), r\epsilonN$, in a distribution belonging to a location-scale family we usually use best invariant estimator (BIE) and best unbiased estimator (BUE). But in some conditions Ryu (1996) showed that BIE is better than BUE. In this paper we calculate risks of BIE and BUE in a normal and an exponential distribution respectively and calculate a percentage risk improvement exponential distribution respectively and calculate a percentage risk improvement (PRI). We find the sample size n which make no significant differences between BIE and BUE in a normal distribution. And we show that BIE is always significantly better than BUE in an exponential distribution. Also simulation in a normal distribution is given to convince us of our result.

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