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Critical Multiple Correlation Coefficient for Improving Mean and Variance in Augmenting Hydrologic Samples

  • Heo, Jun-Haeng
    • Korean Journal of Hydrosciences
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    • v.6
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    • pp.13-22
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    • 1995
  • The augmenting hydrologic data using a correlation procedure has been used to improve the estimates of the mean and variance at the site of interest with short record when one or more near by sites with longer records are available. The variance of the unbiased maximum likelihood estimator of $ derived by Moran based on the multivariate normal distribytion is modified into the form of Matalas and Jacobs for the biveriate normal distribution to get the critical minimum values of the multiple correlation coefficient which give the improvement for estimating the variance at the site of interest. Those values are tabulated for various lengths of short records and the number of sites.

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Set shared by an Entire Function with its k-th Derivative Using Normal Families

  • Ahamed, Molla Basir
    • Kyungpook Mathematical Journal
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    • v.60 no.2
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    • pp.387-399
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    • 2020
  • In this paper, we study a problem of a non-constant entire function f that shares a set S = {a, b, c} with its k-th derivative f(k), where a, b and c are any three distinct complex numbers. We have found a gap in the statement of the main result of Chang-Fang-Zalcman [10], and with the help of their method, we have generalize their result in a more compact form. As an application, we generalize the famous Brück conjecture [9] with the idea of set sharing.

ON THE APPLICATION OF MIXED FINITE ELEMENT METHOD FOR A STRONGLY NONLINEAR SECOND-ORDER HYPERBOLIC EQUATION

  • Jiang, Ziwen;Chen, Huanzhen
    • Journal of applied mathematics & informatics
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    • v.5 no.1
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    • pp.23-40
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    • 1998
  • Mixed finite element method is developed to approxi-mate the solution of the initial-boundary value problem for a strongly nonlinear second-order hyperbolic equation in divergence form. Exis-tence and uniqueness of the approximation are proved and optimal-order $L\infty$-in-time $L^2$-in-space a priori error estimates are derived for both the scalar and vector functions approximated by the method.

Optimal Screening Procedures for Improving Outgoing Quality Based on Correlated Normal Variables

  • Riew, Moon-Charn;Bai, Do-Sun
    • Journal of the Korean Statistical Society
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    • v.14 no.1
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    • pp.18-28
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    • 1985
  • Optimal screening procedures for improving outgoing product quality based on correlated normal variables are presented. The performance variable and the screening variables are assumed to be jointly normally distributed. These procedures do not require specialized tables, and closed-form solutions are obtained for the case of one-sided specification. Methods for finding optimal solutions for the case of two-sided specifications are also considered.

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고려인삼의 자성배우형성에 관한 연구

  • 한창열
    • Journal of Plant Biology
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    • v.6 no.2
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    • pp.3-6
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    • 1963
  • As a part of embryological studies of Panax ginseng, megasporangium and megagametophyte formations were investigated. Ovule is found to be auatropous. Small-sized nucellus is surrounded by thick layered single integument. As the embryo sac develops, the nucellus along with some parts of the inner epidermis of integument disintegrates and completely disappers at flowering stage. Embryo sac takes the type of typical Polygonum although antipodal cells disappear and polar nuclei fuse to form secondary nucleus before fertilization. Mature embryo sac consists of egg apparatus and large secondary nucleus lying adjacent to the egg. Besides the normal ovule, tiny incomplete ovule develops near the base of style. Frequently two normal ovules are formed in a single locule. Chromosome number counted is PMC is n=24.

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THE EFFECT OF THE HIGH DOSAGE OF CORTISON ON THE OXYTALAN FIBERS (Cortisone 과잉투여가 Oxytalan fiber에 미치는 영향에 관한 실험적 연구)

  • Hwang, Seong-Myeong
    • The Journal of the Korean dental association
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    • v.13 no.5
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    • pp.453-455
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    • 1975
  • To observe the effect of cortison on the oxytalan fibers of the periodontal membrane, the albino rats of each groups were injected intramuscularly with 2.5mg. of cortison/kg. body weight daily for 3,7,10,14, and 21 days. After 14 days of cortison administration, the distributions of the oxytalan fibers were irrgular. In their path from cementum to alveolar bone, the fibers pass wave-like. Their density was loose and their stain ability was lesser than the normal. Prolonged administration of cortison impaired the development and the normal form of the oxytalan fibers.

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Asymptotic Distribution of Sample Autocorrelation Function for the First-order Bilinear Time Series Model

  • Kim, Won-Kyung
    • Journal of the Korean Statistical Society
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    • v.19 no.2
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    • pp.139-144
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    • 1990
  • For the first-order bilinear time series model $X_t = aX_{t-1} + e_i + be_{t-1}X_{t-1}$ where ${e_i}$ is a sequence of independent normal random variables with mean 0 and variance $\sigma^2$, the asymptotic distribution of sample autocarrelation function is obtained and shown to follow a normal distribution. The variance of the asymptotic distribution is of a complicated form and hence a bootstrap estimate of the variance is proposed for large sample inference. This result can be used to distinguish between different bilinear models.

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Saddlepoint Approximation to Quadratic Form and Application to Intraclass Correlation Coefficient

  • Na, Jong-Hwa
    • Journal of the Korean Data and Information Science Society
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    • v.19 no.2
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    • pp.497-504
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    • 2008
  • In this paper we studied the saddlepoint approximations to the distribution of quadratic forms in normal variables. We derived the approximations as a special case of Na & Kim (2005). Also applications to a statistic which concerns intraclass correlation coefficient are presented. Simulations show the accuracy and availability of the suggested approximations.

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The Chiroptical Properties and Absolute Configuration of 28-nor-$\beta$-amyrins

  • Woo, Won-Sick
    • Archives of Pharmacal Research
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    • v.14 no.2
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    • pp.160-164
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    • 1991
  • The existence in nature of two isomers of 28-nortriterpenes is known. One is normal D/E cis form and the other is $17\alpha$-hydrogen D/E trans form. Since the latter cannot exist with ring D in the chair conformation, the chiroptical method is not applicable to determination of the absolute configuration. The stereochemical assignment would now be made by NMR data. Confirmation of this view could be provided by the synthesis of $3\beta, 21\beta-{dihydroxy-16-keto-28-nor-17}\alpha, \;18\beta-{olean-12-ene}$ as a model compound.

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