• Title/Summary/Keyword: product of distributions

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Chemistry of Talc Ores in Relation to the Mineral Assemblages in the Yesan-Gongju-Cheongyang Area, Korea (충남 예산-공주-청양 지역 활석광석의 광물조합에 따른 화학적 특징)

  • 김건영;김수진
    • Journal of the Mineralogical Society of Korea
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    • v.10 no.1
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    • pp.60-73
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    • 1997
  • The talc of the Daeheung, Pyeongan, and Cheongdang (Shinyang) talc deposits in the Yesan-Gongju-Cheongyang area is a hydrothermal alteration product of serpentinite originated from ultramafic rocks. The mineral assemblages in alteration zones are: serpentine, serpentine-talc, talc, talc-chlorite, talc-phlogopite-chlorite, and talc-tremolite-chlorite. Chemical distributions in both the Al2O3-FeO-MgO system and the immobile elements suggest that the serpentine-talc and talc rocks are the reaction product of ultramafic rocks and silicic hydrothermal solution without addition of other granitic components, whereas chlorite-, phlogopite-, and tremolite-bearing rocks are the metasomatic alteration product of serpentinite by hydrothermal solution affected by granitic gneiss. Discontinuities in the immobile element ratios of mineral assemblages are due to changes in their mineralogy. The relative contents of Al2O3, TiO2, Zr in the talc-phlogopite-chlorite and talc-tremolite-chlorite rocks increase irregularly with increasing phlogopite, tremolite, and/or chlorite contents in contrast to other ore types. But the relative contents of Cr, Ni, and Co are uniform in all the mineral assemblages. Chemistry of each mineral assemblage formed by steatitization of serpentinite suggests that Cr, Co, Ni, MgO, and Fe2O3 are relatively immobile during the alteration, whereas SiO2, Al2O3, CaO, and K2O are highly increased. The contents of chlorite, phlogopite, and tremolite in each mineral assemblage might be controlled by addition of Al2O3, K2O, and CaO, respectively. The high contents of other elements than immobile elements in the altered rocks as compared with unaltered rocks indicate that a large amount of elements were introduced from hydrothermal solution up to about 8∼41% in total mass showing maximum value in the talc-phlogopite-chlorite rock.

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The Manufacturing Mechanism of Nano-some and Method of Capsulation of Kojic Acid and Kojic Dipalmitate with Hydrogenated Lecithin and Co-emulsifiers (Hydrogenated Lecithin 과 Co-emulsifier를 사용한 Nano-some의 제조 메커니즘과 Kojic Acid 및 Kojic Dipalmitate의 캡슐화 방법)

  • Kim, In-Young;Jae, Koo-Hwan;Lee, Joo-Dong
    • Journal of the Korean Applied Science and Technology
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    • v.17 no.4
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    • pp.248-256
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    • 2000
  • We investigated the property of formation of mono-vesicle(designated nano-some) with using of the combined co-emulsifiers and phospholipid. Nano-some was prepared with hydrogenated lecithin(HL) and diethanolamine cetyl phosphate(DEA-CP) by swelling reaction. Kojic acid and kojic dipalmitate could be made stabilization by nano-some system using microfluidizer(MF). Nano-some has a good affinity to skin by means of this system. The composition was compounded by 2% of hydrogenated lecithin (phosphatidyl choline contained with 75%, 0.5% of DEA-CP and 0.5% of diglyceryl dioleate (DGDO). To make nano-some, several conditions of MF have to be considered as follows. The optimum pH was 6.0. The pressure was 10,000psi and passage temperature was at $306^{\circ}C$. The nano-some base was passed to homogenize continually 3 times through MF. The Particle size distributions of the vesicles were with in $57{\sim}75.7nm$(mean 66nm) by measuring the Zetasizer-3000. Zeta potential of vesicles with 3 times passage through MF was -24.8mV. Formations for nano-some vesicle certificated photograph by scanning electric magnification (SEM). Stability of nano-some was very good for 6months. The turbidity was very good transparency compared nano-some with liposome. It was formed the mono vesicle in the opposite direction to be formed the multi-lamellar vesicle of liposome.

Testing Exponentiality Based on EDF Statistics for Randomly Censored Data when the Scale Parameter is Unknown (척도모수가 미지인 임의중도절단자료의 EDF 통계량을 이용한 지수 검정)

  • Kim, Nam-Hyun
    • The Korean Journal of Applied Statistics
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    • v.25 no.2
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    • pp.311-319
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    • 2012
  • The simplest and the most important distribution in survival analysis is exponential distribution. Koziol and Green (1976) derived Cram$\acute{e}$r-von Mises statistic's randomly censored version based on the Kaplan-Meier product limit estimate of the distribution function; however, it could not be practical for a real data set since the statistic is for testing a simple goodness of fit hypothesis. We generalized it to the composite hypothesis for exponentiality with an unknown scale parameter. We also considered the classical Kolmogorov-Smirnov statistic and generalized it by the exact same way. The two statistics are compared through a simulation study. As a result, we can see that the generalized Koziol-Green statistic has better power in most of the alternative distributions considered.

FOURIER TRANSFORM OF ANISOTROPIC MIXED-NORM HARDY SPACES WITH APPLICATIONS TO HARDY-LITTLEWOOD INEQUALITIES

  • Liu, Jun;Lu, Yaqian;Zhang, Mingdong
    • Journal of the Korean Mathematical Society
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    • v.59 no.5
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    • pp.927-944
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    • 2022
  • Let $\vec{p}{\in}(0,\;1]^n$ be an n-dimensional vector and A a dilation. Let $H^{\vec{p}}_A(\mathbb{R}^n)$ denote the anisotropic mixed-norm Hardy space defined via the radial maximal function. Using the known atomic characterization of $H^{\vec{p}}_A(\mathbb{R}^n)$ and establishing a uniform estimate for corresponding atoms, the authors prove that the Fourier transform of $f{\in}H^{\vec{p}}_A(\mathbb{R}^n)$ coincides with a continuous function F on ℝn in the sense of tempered distributions. Moreover, the function F can be controlled pointwisely by the product of the Hardy space norm of f and a step function with respect to the transpose matrix of A. As applications, the authors obtain a higher order of convergence for the function F at the origin, and an analogue of Hardy-Littlewood inequalities in the present setting of $H^{\vec{p}}_A(\mathbb{R}^n)$.

Effect of Catalyst Preparation on the Selective Hydrogenation of Biphenol over Pd/C Catalysts

  • Cho, Hong-Baek;Park, Jai-Hyun;Hong, Bum-Eui;Park, Yeung-Ho
    • Bulletin of the Korean Chemical Society
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    • v.29 no.2
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    • pp.328-334
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    • 2008
  • The effects of catalyst preparation on the reaction route and the mechanism of biphenol (BP) hydrogenation, which consists of a long series-reaction, were studied. Pd/C catalysts were prepared by incipient wetness method and precipitation and deposition method. The reaction behaviors of the prepared catalysts and a commercial catalyst along with the final product distributions were very different. The choice of the catalyst preparation conditions during precipitation and deposition including the temperature, pH, precursor addition rate, and reducing agent also had significant effects. The reaction behaviors of the catalysts were interpreted in terms of catalyst particle size, metal distribution, and support acidities.

FEKETE-SZEGÖ INEQUALITIES OF CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS AND APPLICATIONS TO SOME DISTRIBUTION SERIES

  • SOUPRAMANIEN, T.;RAMACHANDRAN, C.;CHO, NAK EUN
    • Journal of applied mathematics & informatics
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    • v.39 no.5_6
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    • pp.725-742
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    • 2021
  • The aim of this article is to estimate the coefficient bounds of certain subclasses of analytic functions. We claim that this is a novel and unique effort in combining the coefficient functional along with the new domains and the probability distributions which have not been found or are available in the literature of coefficients bounds. Here the authors analyze these bounds in the special domains associated with exponential function and sine function. Further we obtain Fekete-Szegö inequalities for the defined subclasses of analytic functions defined through Poisson distribution series and Pascal distribution series.

A Study on Square Die Extrusion of Hollow Shape (중공형재의 평금형 압출에 관한 연구)

  • 이승훈;이춘만;조종래
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1996.10a
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    • pp.14-19
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    • 1996
  • This study presents development of finite element simulation program and analysis of hot extrusion through square dies with mandrel. The design of extrusion dies is still an art rather than science. Die design for a new extrusion is developed from through in-plant trials. In the present paper, three-dimensional steady-state finite element simulation program is developed. The developed system is effectively used to simulate extrusion of clamp shaped hollow section. The objective of the present paper is to study the possibility of integrating this method into the design of dies for extrusion of complex section. To obtain sound product, the distributions and effects of temperature, effective strain rate, mean strain rate and mean stress are studied.

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Analysis of Heat Treatment Process for Large Forgings Considering Phase Transformation (대형 단조품 담금질 과정의 조직 및 응력분포 해석)

  • 이정호;이부윤;전제영;이명렬;조종래
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.964-968
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    • 1996
  • The demands of size and quality of large steel shaft forgings for ship building, power plant, steel plant, etc. are rapidly increasing, and some of these productions are manufactured from ingot weighing more than 300 tons. For use as rotating components. shafts require toughness, strength and homogeneity, and therefore are produced through a variety of heat treatments. According to the increase of ingot size, micro- and macrosegregation and also mass effect of the product increase. Thus, special care should be paid to the heat treatment of such large shaft forgings. In this paper, the heat treatment of large shaft forgings such as rotor and back-up roll is calculated using the commercial finite element code SYSWELD. Calculated distributions of temperature and phase are compared with experimental data. The continuous cooling transformation diagram, thermal and mechanical properites of each phase are used. The phase proportion, hardness and residual stress during water quenching are discussed.

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Analysis on LGP with Multi-Side-Lamp (다변 광원 도광판에 대한 연구)

  • Park Jong-Ryul;Sah Jong-Youb
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.3 s.234
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    • pp.361-368
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    • 2005
  • LGP(Light-Guide Panel) of LCD backlight is one of the major componets which affect on the product quality of LCD. The LGP with multi-side lamp has been analized for pattern design with the uniform distribution of brightness. When given the uniform distribution of brightness as target, the distribution of dot pattern has been designed for superposed distributions of brightness for each lamp. Multi-side lamp has been tested for various types such as ㄴ-, ㄷ-, and ㅁ -shapes. The present study enhances the possibility of LGP with multi-side lamp by showing the pricise control of brightness distribution.

The skew-t censored regression model: parameter estimation via an EM-type algorithm

  • Lachos, Victor H.;Bazan, Jorge L.;Castro, Luis M.;Park, Jiwon
    • Communications for Statistical Applications and Methods
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    • v.29 no.3
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    • pp.333-351
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    • 2022
  • The skew-t distribution is an attractive family of asymmetrical heavy-tailed densities that includes the normal, skew-normal and Student's-t distributions as special cases. In this work, we propose an EM-type algorithm for computing the maximum likelihood estimates for skew-t linear regression models with censored response. In contrast with previous proposals, this algorithm uses analytical expressions at the E-step, as opposed to Monte Carlo simulations. These expressions rely on formulas for the mean and variance of a truncated skew-t distribution, and can be computed using the R library MomTrunc. The standard errors, the prediction of unobserved values of the response and the log-likelihood function are obtained as a by-product. The proposed methodology is illustrated through the analyses of simulated and a real data application on Letter-Name Fluency test in Peruvian students.