• Communications for Statistical Applications and Methods
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• v.12 no.3
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• pp.545-556
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• 2005

Hjort(1990) obtained the nonparametric Bayes estimator $\^{F}_{c,a}$ of $F_0$ with respect to beta processes in the random censorship model. Let $X_1,{\cdots},X_n$ be i.i.d. $F_0$ and let $C_1,{\cdot},\;C_n$ be i.i.d. G. Assume that $F_0$ and G are continuous. This paper shows that {$\^{F}_{c,a}$(u){\|}0 < u < T} converges weakly to a Gaussian process whenever T < $\infty$ and $\~{F}_0({\tau})\;<\;1$.

• Journal of Korea Water Resources Association
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• v.34 no.6
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• pp.577-586
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• 2001

This study proposes a theoretical methodology for deriving a rainfall intensity-duration- frequency (I-D-F) curve using a simple rectangular pulses Poisson process model. As the I-D-F curve derived by considering the model structure is dependent on the rainfall model parameters estimated using the observed first and second order statistics, it becomes less sensitive to the unusual rainfall events than that derided using the annual maxima rainfall series. This study has been applied to the rainfall data at Seoul and Inchon stations to check its applicability by comparing the two I-D-F carves from the model and the data. The results obtained are as followed. (1) As the duration becomes longer, the overlap probability increases significantly. However, its contribution to the rainfall intensity decreases a little. (2) When considering the overlap of each rainfall event, especially for large duration and return period, we could see obvious increases of rainfall intensity. This result is normal as the rainfall intensity is calculated by considering both the overlap probability and return period. Also, the overlap effect for Seoul station is fecund much higher than that for Inchon station, which is mainly due to the different overlap probabilities calculated using different rainfall model parameter sets. (3) As the rectangular pulses Poisson processes model used in this study cannot consider the clustering characteristics of rainfall, the derived I-D-F curves show less rainfall intensities than those from the annual maxima series. However, overall pattern of both I-D-F curves are found very similar, and the difference is believed to be overcome by use of a rainfall model with the clustering consideration.

• Journal of Environmental Health Sciences
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• v.20 no.4
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• pp.17-35
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• 1994

This study was performed to investigate and assess the heavy metal contamination of sediment in main stream and tributaries of the Han-river in the vicinity of Seoul. Sediment were sampled at eight locations of main stream and eighteen locations of tributaries in the spring, summer, and fall in 1993. Six heavy metals of Cd, Cu, Pb, Zn, Cr, and Hg, were assessed. For an assessment of heavy metal contamination in sediment, the assessment method of Hakanson was modified to estimate for Han-river, then classification method of Muller in sediment quality was applied. For an assessment of contamination in each heavy metal, Contamination factor C$_f^i$ which was defined the ratio of concentration of i heavy metal in investigated location to background concentration of i heavy metal in uncontaminated upper area was used. The sediment quality in each heavymetal was classified as follows if C$_f^i$<1, Class I for Non contamination, if 1 < C$_f^i$ < 3, Class II for Low contamination, if 3< C$_f^i$ <6, Class III for Moderate contamination, if 6< C$_f^i$ <12, Class IV for Considerable contamination, and if C$_f^i$ > 12, Class V for High contamination.(abbreviation)

• Journal of the Korea Institute of Information and Communication Engineering
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• v.9 no.1
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• pp.188-198
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• 2005

The Goldschmidt iterative algorithm for finding a floating point square root calculated it by performing a fixed number of multiplications. In this paper, a variable latency Goldschmidt's square root algorithm is proposed, that performs multiplications a variable number of times until the error becomes smaller than a given value. To find the square root of a floating point number F, the algorithm repeats the following operations: $R_i=\frac{3-e_r-X_i}{2},\;X_{i+1}=X_i{\times}R^2_i,\;Y_{i+1}=Y_i{\times}R_i,\;i{\in}\{{0,1,2,{\ldots},n-1} }}'$with the initial value is $'\;X_0=Y_0=T^2{\times}F,\;T=\frac{1}{\sqrt {F}}+e_t\;'$. The bits to the right of p fractional bits in intermediate multiplication results are truncated, and this truncation error is less than $'e_r=2^{-p}'$. The value of p is 28 for the single precision floating point, and 58 for the doubel precision floating point. Let $'X_i=1{\pm}e_i'$, there is $'\;X_{i+1}=1-e_{i+1},\;where\;'\;e_{i+1}<\frac{3e^2_i}{4}{\mp}\frac{e^3_i}{4}+4e_{r}'$. If '|X_i-1|<2^{\frac{-p+2}{2}}\;'$ is true, $'\;e_{i+1}<8e_r\;'$ is less than the smallest number which is representable by floating point number. So, $\sqrt{F}$ is approximate to $'\;\frac{Y_{i+1}}{T}\;'$. Since the number of multiplications performed by the proposed algorithm is dependent on the input values, the average number of multiplications per an operation is derived from many reciprocal square root tables ($T=\frac{1}{\sqrt{F}}+e_i$) with varying sizes. The superiority of this algorithm is proved by comparing this average number with the fixed number of multiplications of the conventional algorithm. Since the proposed algorithm only performs the multiplications until the error gets smaller than a given value, it can be used to improve the performance of a square root unit. Also, it can be used to construct optimized approximate reciprocal square root tables. The results of this paper can be applied to many areas that utilize floating point numbers, such as digital signal processing, computer graphics, multimedia, scientific computing, etc.

• Nuclear Engineering and Technology
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• v.14 no.1
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• pp.22-40
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• 1982

The nuclear LS-energy matrix elements have been calculated with the harmonic oscillator shell model wave functions for the configurations ( $l_{i}$ $l_{i+1}$｜ $l_{i}$ $l_{i+1}$) where 1$_1$= $l_{s}$ , $l_2$=lp, $l_3$=ld, 2s, $l_4$=1f, 2p, $l_{5}$ =1g, 2d, 3s. The resulting matrix elements are expressed in terms of both Talmi integrals $I_1$ and Slater integrals $F^{k}$ . In addition to this various sum rules are derived and applied to check the results of the calculations.ons.

• Journal of the Korean Society of Costume
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• v.51 no.4
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• pp.43-56
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• 2001

Articles on fashion of major daily newspapers for about one years after I.M.F. system were analyzed. The influence of I.M.F. system, values, the importance of costumes at economic crisis were studied through fashion at that time. The major conclusions of the study are as follows : 1. Costumes made in Korea, national brands In Korean words, practical styles, multi-functional design, economic tastes and mixed fashions were emphasized. 2. The sound and patriotic values were pursued through domestic fashion and creative ideas were developed to overcome economic crisis. 3. The meaning of costumes was still important under shrink of consumption. Costumes were useful tools to estimate ability and express aesthetic appreciation. The sound fashion trends under I.M.F. system reflect the reflection on overconsume and the will to overcome economic crisis. Such trends should be fixed for the establishment of economic prosperity for the nation.

• Journal of applied mathematics & informatics
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• v.39 no.3_4
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• pp.437-442
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• 2021

In this paper, we study the characterizations of two-sided best simultaneous approximations for ℓ-tuple subset from a closed convex subset of ℝ^m with ℓ^m₁(w)-norm. Main fact is, k^* is a two-sided best simultaneous approximation to F from K if and only if there exist f₁, …, f_p in F, for any k ∈ K $${\mid}{\sum\limits_{i=1}^{m}}sgn(f_{ji}-k^*_i)k_iw_i{\mid}{\leq}\;{\sum\limits_{i{\in}Z(f_j-k^*)}}\;{\mid}k_i{\mid}w_i$$ for each j = 1, …, p and 𝐰 ∈ W.

• The KIPS Transactions:PartA
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• v.11A no.7 s.91
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• pp.571-576
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• 2004

In this paper, by using Lagrange polynomial interpolation with a trick such that for $f(x)^{3}$ we shall use $f(x_i)^{3}I_i(x)^{3}$ instead of $I(x)^{3}$ where $I{x}{\;}={\;}\sum_{i}^{f}(x_i)I_i(x)$. We show the convergence and stability and calculate errors. These errors are approximately less than $C(\frac{1}{N})^{N-1} hN(N-1)(\frac{N}{2})^{N-1} /(\frac{N}{2})!$ where N is a polynomial degree.

• Communications of the Korean Mathematical Society
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• v.16 no.1
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• pp.103-111
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• 2001

In this paper, we investigate a generalization of the stability of a new quadratic functional equation f(∑(sub)i=1(sup)n x(sub)i)+∑(sub)1$\leq$i$\leq$n f(x(sub)i-x(sub)j) = n∑(sub)i=1(sup)n f(x(sub)i) (n$\geq$2) in the spirits of Hyers, Ulam, Rassias and Gavruta.

• The Journal of Korean Medicine
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• v.16 no.1 s.29
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• pp.209-226
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• 1995

In order to investigate the protective effects of Jiyusaenggan-Tang by F-I(Jiyusaenggan-Tang aspirated by distilled water), F-II(Non-polysaccharides in Jiyusaenggan-Tang) and F-III(Polysaccharides in Jiyusaenggan-Tang), experimental studies were performed in mice with liver injury induced by $CCI_4$, and d-galactosamine. The results were summarized as follows : 1. The increases of the serum GOT activities in mice induced by $CCI_4$ were inhibited significantly by the administration of highly concentrated FIII. The increases of the serum GPT, LDH, and ALP activities in mice induced by $CCI_4$ were inhibited significantly by the administration of highly concentrated FI and FIII. 2. The increases of the serum total-cholesterol and triglyceride activities in mice induced by $CCI_4$ were inhibited significantly by the administration of highly concentrated FI, FII and FIII. 3. On liver injury induced by the $CCI_4$, the activities of GOT, GPT, ALP, LDH were inhibited by highly concentrated FIII, F-I, F-II, and F-I, F-II, F-III on total cholesterol level and F-III, F-I, F-II on triglyceride level in order of their efficacies. And F-III is considered to be the most effective component. 4. The increases of the serum GOT, GPT activities in mice induced by d-galactosamine were inhibited significantly by the administration of FI and FIII. The increases of the serum LDH, ALP activities in mice induced by d-galactosamine were inhibited significantly by the administration of FI and FIII. 5. The increases of the serum Total-cholesterol, Triglyceride activities in mice induced by d-galactosamine were inhibited significantly by the administration of FI, FII and FIII. 6. The increases of the serum GOT, GPT activities in mice induced by d-galactosamine were inhibited significantly in F-III administrated group and then F-I in order of efficacies. FII does not showed significant effect, on inhibiting the activities of serum GOT and GPT levels. The activity of ALP was inhibited by F-III, F-I, F-II, LDH by F-III, F-I in order of efficacies, and F-II did not showed significant effect on LDH activity. The triglyceride level was decreased significantly by F-III, F-II, F-I and the total cholesterol level by F-II, F-I, F-III in order of their efficacies. Judging from the above results, it is considered that Jiyusaenggan-Tang has protective effect against liver injury, and that Polysaccharides in Jiyusaenggan-Tang is more effective.