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ON THE RATE OF COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF ARRAYS OF RANDOM ELEMENTS

  • Sung, Soo-Hak;Volodin Andrei I.
    • Journal of the Korean Mathematical Society
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    • v.43 no.4
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    • pp.815-828
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    • 2006
  • Let {$V_{nk},\;k\;{\geq}\;1,\;{\geq}\;1$} be an array of rowwise independent random elements which are stochastically dominated by a random variable X with $E\|X\|^{\frac{\alpha}{\gamma}+{\theta}}log^{\rho}(\|X\|)\;<\;{\infty}$ for some ${\rho}\;>\;0,\;{\alpha}\;>\;0,\;{\gamma}\;>\;0,\;{\theta}\;>\;0$ such that ${\theta}+{\alpha}/{\gamma}<2$. Let {$a_{nk},k{\geq}1,n{\geq}1$) be an array of suitable constants. A complete convergence result is obtained for the weighted sums of the form $\sum{^\infty_k_=_1}\;a_{nk}V_{nk}$.

Fluid-Elastic Parameters for Reactor Internals Model Testing

  • Lee, Hae
    • Nuclear Engineering and Technology
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    • v.12 no.4
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    • pp.286-292
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    • 1980
  • Similitude requirement for model testing of flow induced vibration of reactor internals are investigated. In depth discussions on the Reynolds number effects are made. For valid model tests of fuel assemblies vibrating in its fundamental natural frequency, reduced frequency (fD/U), and dam ping parameter( $m_{c}$$\delta$$_{c}$ $D_{\rho}$$^2$) are two most important parameters.ers.

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Characteristics of Sparkover Discharge In Flowing Gas with Variation of Temperature (온도변화를 고려한 유동기체의 방전특성에 관한 연구)

  • Kim, Sang-Ku;Oh, Jae-Yel;Song, Hyun-Jig;Lee, Kwang-Sik;Lee, Dong-In
    • Proceedings of the KIEE Conference
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    • 1991.07a
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    • pp.310-313
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    • 1991
  • This paper reports the characteristics of sparkover discharge in flowing air with variation of Temperature(T). Also, We studied changes of discharge pattern for constant input power by adjustment of the Reynolds number(Re) and T. The essentiales of this paper are as followers. The invaluable equation obtained from this experiment is [%]$\frac{Vs}{Re}$=A+B${\varepsilon}^{c{\cdot}Re}$ where A=10.5 B=120 $C=-3.00{\times}10^{-5}$ Breakdown Voltage for Variation of temperature in static air is given by expression Vs = K (23.98 ${\rho}$d+6.8 ${\sqrt}{{\rho}d}$)[kV] The discharge pattern can be controlled by adjustment of the Reynolds number.

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Tensile Properties of Plate Attached Open Cell Aluminium Foams (판이 부착된 개포형 발포 알루미늄의 인장특성)

  • Kang, Bok-Hyun;Bu, Sung-Duk;Kim, Ki-Young
    • Journal of Korea Foundry Society
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    • v.27 no.2
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    • pp.83-87
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    • 2007
  • Aluminum plates of the same materials as the foam were attached by the casting process inserting the foam as a core to investigate the tensile property of open cell foams. Tensile properties of the open cell 6063 aluminum alloy foam of $10{\sim}30$ PPI were measured before and after heat treatment. Densities of test specimens were between 0.14 and $0.29g/cm^3$. Tensile strength of the 6063 aluminum foam after heat treatment showed little change. C values were in the range of $0.41{\sim}0.87$ for as cast foams and $0.11{\sim}0.27$ for T6 heat treated foams in the eq. of ${\sigma}^* _{pl}/{\sigma}_{ys}=C({\rho}/{\rho}_s)^{1.5}$, and increased with increase in the cell size.

SOME APPLICATIONS AND PROPERTIES OF GENERALIZED FRACTIONAL CALCULUS OPERATORS TO A SUBCLASS OF ANALYTIC AND MULTIVALENT FUNCTIONS

  • Lee, S.K.;Khairnar, S.M.;More, Meena
    • Korean Journal of Mathematics
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    • v.17 no.2
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    • pp.127-145
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    • 2009
  • In this paper we introduce a new subclass $K_{\mu}^{\lambda},{\phi},{\eta}(n;{\rho};{\alpha})$ of analytic and multivalent functions with negative coefficients using fractional calculus operators. Connections to the well known and some new subclasses are discussed. A necessary and sufficient condition for a function to be in $K_{\mu}^{\lambda},{\phi},{\eta}(n;{\rho};{\alpha})$ is obtained. Several distortion inequalities involving fractional integral and fractional derivative operators are also presented. We also give results for radius of starlikeness, convexity and close-to-convexity and inclusion property for functions in the subclass. Modified Hadamard product, application of class preserving integral operator and other interesting properties are also discussed.

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Study on nuclear magnetic resonance of superionic conductor NH4HSeO4 in rotating frame

  • Choi, Jae Hun;Lim, Ae Ran
    • Journal of the Korean Magnetic Resonance Society
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    • v.18 no.1
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    • pp.41-46
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    • 2014
  • In order to obtain information on the structural geometry of $NH_4HSeO_4$ near the phase transition temperature, the spectrum and spin-lattice relaxation time in the rotating frame $T_{1{\rho}}$ for the ammonium and hydrogen-bond protons were investigated through $^1H$ MAS NMR. $T_{1{\rho}}$ for the hydrogen-bond protons abruptly decreased at high temperature and it is associated with the change in the structural geometry in $O-H{\cdots}O$ bonds. This mobility of the hydrogen-bond protons may be the main reason for the high conductivity.

The discharge characteristics in flowing gas under the nonuniform field (불평등 전계에 있어서 유동(流動) 개스의 방전특성(放電特性))

  • Song, Hyun-Jig;Kim, Sang-Ku;Youn, Young-Dae;Lee, Kwang-Sik;Lee, Dong-In
    • Proceedings of the KIEE Conference
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    • 1992.07b
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    • pp.915-917
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    • 1992
  • This paper shows the discharge characteristics in flowing air with variation of tempearature(T) under the needle-needle gap. Flowing air duct of this investigation is circular tube. The flow at the experimental position's section is described as fully developed laminar flow. The important results obtained from this study are as follows. The ratio sparkover voltages to the Reynolds number(Re) increases with decreasing the Re. The velocity profiles can be visualized by this experimental method. The breakdown voltage ($V_{s1}$) for variation of T at 1[m/s] can be expressed by $V_{s1}$ = $K_1$(23.98$\rho$d + 6.98$\sqrt{\rho{d}}$) [kV].

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A Case of Hyper IgE Syndrome with Severe Ulcer and Granuloma at the Site of BCG Inoculation (비씨지 접종부위에 심한 궤양과 육아종을 보인 고면역글로불린 E 증후군 1례)

  • Rho, Jeong A;Rho, Young Il;Moon, Kyung Rye;Park, Young Bong;Yang, Eun Seok
    • Pediatric Infection and Vaccine
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    • v.10 no.1
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    • pp.127-131
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    • 2003
  • Hyperimmunoglobulin E syndrome(HIES) is a primary immunodeficiency characterized by severe recurrent soft-tissue infections, pneumonias, pruritic dermatitis and markedly elevated serum IgE levels. Pneumatocele and empyema develop as result of recurrent pneumonias. It is inherited in an autosomal dominant fashion, with variable expressivity. We experienced the case of a 10 month old girl with hyper IgE syndrome. Patient was admitted for local ulceration and muscle soreness at the site of BCG inoculation. The diagnosis of hyper IgE syndrome was made because she had a coarse facial appearance, pruritic dermatitis, pneumatocele and markedly elevated serum IgE level with a past history of frequent skin abscess and pneumonia.

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The Inhibitory Effect of Eupatilin on the Agonist-Induced Regulation of Vascular Contractility

  • Je, Hyun Dong;Kim, Hyeong-Dong;Jeong, Ji Hoon
    • The Korean Journal of Physiology and Pharmacology
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    • v.17 no.1
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    • pp.31-36
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    • 2013
  • The present study was undertaken to investigate the influence of eupatilin on vascular smooth muscle contractility and to determine the mechanism involved. Denuded aortic rings from male rats were used and isometric contractions were recorded and combined with molecular experiments. Eupatilin more significantly relaxed fluoride-induced vascular contraction than thromboxane $A_2$ or phorbol ester-induced contraction suggesting as a possible anti-hypertensive on the agonist-induced vascular contraction regardless of endothelial nitric oxide synthesis. Furthermore, eupatilin significantly inhibited fluoride-induced increases in pMYPT1 levels. On the other hand, it didn't significantly inhibit phorbol ester-induced increases in pERK1/2 levels suggesting the mechanism involving the primarily inhibition of Rho-kinase activity and the subsequent phosphorylation of MYPT1. This study provides evidence regarding the mechanism underlying the relaxation effect of eupatilin on agonist-induced vascular contraction regardless of endothelial function.

A NOTE ON THE θ3(0, τ)

  • Kim, Daeyeoul;Jeon, Hyeong-Gon
    • Korean Journal of Mathematics
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    • v.6 no.1
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    • pp.67-70
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    • 1998
  • Let ${\eta}(\tau)=q^{1/24}\prod_{n=1}^{\infty}(1-q^n)$, where $q=e^{2{\pi}i{\tau}}$ and ${\tau}{\in}\mathbb{C}$. Then the transformation $$g(\tau)={\rho}\frac{\{\eta(\frac{\tau+1}{2})\eta(\frac{\tau+2}{2})\}^{16}}{\eta(\tau)^{24}}({\bar{{\rho}}{\eta}}(\frac{\tau+1}{2})^8+{\eta}(\frac{\tau+2}{2})^8)^2$$ is holomorphic for Im ${\tau}$ > 0, and has the property $$g(\tau+1)=g(\tau),\;g(-\frac{1}{\tau})={\tau}^{12}g(\tau)$$. (Theorem)

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