• Title/Summary/Keyword: RHO

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Phytochemical Study on the Vitis thunbergii var. sinuata

  • Jon
    • Korean Journal of Plant Resources
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    • v.9 no.1
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    • pp.55-62
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    • 1996
  • The caffeic acid, 4-O-$\beta$-D-glucopyranosyl caffeic acid, 4-O-$\beta$-D-glucopyranosyl-$\rho$-coumaric acid and 7-O-$\beta$-D-glucuronide of ($\pm$)-eriodictyol have been isolated from the root of Vitis thunbergii var. sinuata. The structures of compounds were determined by chemical and spectroscopic methods.

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The invariance principle for $\rho$-mixing random fields

  • Kim, Tae-Sung;Seok, Eun-Yang
    • Journal of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.321-328
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    • 1995
  • Ibragimov(1975) showed the central limit theorem and the invariance principle for $\rho$-mixing random variables satisfying $\sigma^2(n) = nh(n) \longrightarrow \infty$ and $E$\mid$\zeta_0$\mid$^{2+\delta} < \infty$ for some $\delta > 0$ where $\sigma^2(n)$ denotes the variance of the partial sum $S_n$ and h(n) is a slowly varying function.

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A FIXED POINT THEOREM FOR NONEXPANSIVE SEMIGROUPS IN P-UNIFORMLY CONVEX BANACH SPACES

  • Jeong, Jae-Ug
    • Journal of applied mathematics & informatics
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    • v.3 no.1
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    • pp.47-54
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    • 1996
  • We prove that if RUC(S) has a left invariant mean ${\rho}={T_{S} : s \;{\in}\; S}$ is a continuous repesentation of S as nonexpansive map-pings on a closed convex subset C of a p-uniformly convex and p-uniformly smooth Banach space and C contains an element of bounded orbit then C contains a common fixed point for ${\rho}$.

A Wald Test for a Unit Root Based on the Symmetric Estimator

  • Jong Hyup Lee;Dong Wan SHin
    • Communications for Statistical Applications and Methods
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    • v.4 no.3
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    • pp.677-683
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    • 1997
  • For an AR(1) model with intercept $y_t=\mu+\rho{y_{t-1}}+e_t$, a test for random walk hypothesis $H_0:(\mu, \rho)=(0, 1)$is proposed, which is based on the symmetric estimator. In the vicinity of the null, the test in shown to be more powerful than the test of Dickey and Fuller(1981) based on the ordinary least squares estimator.

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Polynomial Equation in Radicals

  • Khan, Muhammad Ali;Aslam, Muhammad
    • Kyungpook Mathematical Journal
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    • v.48 no.4
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    • pp.545-551
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    • 2008
  • Necessary and sufficient conditions for a radical class of rings to satisfy the polynomial equation $\rho$(R[x]) = ($\rho$(R))[x] have been investigated. The interrelationsh of polynomial equation, Amitsur property and polynomial extensibility is given. It has been shown that complete analogy of R.E. Propes result for radicals of matrix rings is not possible for polynomial rings.

Bayesian Test for the Intraclass Correlation Coefficient in the One-Way Random Effect Model

  • Kang, Sang-Gil;Lee, Hee-Choon
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.3
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    • pp.645-654
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    • 2004
  • In this paper, we develop the Bayesian test procedure for the intraclass correlation coefficient in the unbalanced one-way random effect model based on the reference priors. That is, the objective is to compare two nested model such as the independent and intraclass models using the factional Bayes factor. Thus the model comparison problem in this case amounts to testing the hypotheses $H_1:\rho=0$ versus $H_2:{\rho}{\neq}0$. Some real data examples are provided.

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FLUENT 코드를 이용한 차세대원자로의 붕산혼합 현상 해석

  • 황영동;김영인;심석구;박종균
    • Proceedings of the Korean Nuclear Society Conference
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    • 1998.05a
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    • pp.731-737
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    • 1998
  • 차세대원자로의 붕산희석사고시 노심에 유입되는 저농도 붕산수 slug의 혼합현상에 대한 해석을 수행하였다. FLUENT V4.47을 이용하여 inherent event와 external event로 분류되는 SBLOCA시와 SIS 주입에 따른 급속붕산희석현상에 대해 인차원 축대칭을 가정하여 해석을 수행하였다. 각각의 경우에 대하여 사고시 노심에 추가되는 정반응도는 1.86 %$\Delta$$\rho$ 이하로 계산되었으며, 이 결과는 원자로정지여유도 6.5 %$\Delta$$\rho$다 작은 값을 가지므로 원자로의 안전성을 유지하기에 충분한 여유를 갖는 것으로 해석되었다.

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Effect of Open Packing upon Vertex Removal

  • Hamid, Ismail Sahul;Saravanakumar, Soundararajan
    • Kyungpook Mathematical Journal
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    • v.56 no.3
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    • pp.745-754
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    • 2016
  • In a graph G = (V, E), a non-empty set $S{\subseteq}V$ is said to be an open packing set if no two vertices of S have a common neighbour in G. The maximum cardinality of an open packing set is called the open packing number and is denoted by ${\rho}^{\circ}$. In this paper, we examine the effect of ${\rho}^{\circ}$ when G is modified by deleting a vertex.

A Study of Shear Resistance Characteristics using Shear Test Data with Stirrup (전단보강철근이 있는 기존 전단실험 자료를 이용한 전단특성에 관한 연구)

  • Shin Geun Ok;Lee Chang Shin;Jeong Jae Pyong;Kim Woo
    • Proceedings of the Korea Concrete Institute Conference
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    • 2005.05a
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    • pp.403-406
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    • 2005
  • This paper deals with the propriety of the shear test data with stirrup reported in ACI and ASCE structural journal and the shear resistance characteristics affected by compressive strength of concrere($f_{ck}$), shear span-to-depth ratio (a/d), tensile reinforcement ratio($\rho$), and shear reinforcement ratio($rho_{v}$). The analysis was accomplished by the 242 shear test data. The test data include the flexural failure data around 40$\%$.

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STABILITY PROPERTIES IN NONLINEAR DISCRETE VOLTERRA EQUATIONS WITH UNBOUNDED DELAY

  • Choi, Sung Kyu;Kim, Yunhee;Koo, Namjip;Yun, Chanmi
    • Journal of the Chungcheong Mathematical Society
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    • v.26 no.1
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    • pp.197-211
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    • 2013
  • We study some stability properties in discrete Volterra equations by employing to change Yoshizawa's results in [13] for the nonlinear equations into results for the nonlinear discrete Volterra equations with unbounded delay.