• Journal of Life Science
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• v.12 no.1
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• pp.14-18
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• 2002

Subpopulations of nucleotides that bind specifically to a variety of proteins have been isolated from a population of random sequence RNA/DNA molecules. Roughly one in $10^{13}$ random sequence RNA/DNA molecules folds in such a way as to create a specific binding site for small ligands. Since the development of in vitro selection procedure, more than 50 nucleic acid ligands (aptamers) have been isolated. These molecules are very useful for the study of molecular recognition between nucleic acid and protein/organic compound. In addition to these basic studies this method gives us a dream to produce new drugs against several diseases. We focused on several aptamers which specifically binds to trypsin-like serine proteases (thrombin, human neutrophil elastase, activated protein C and NS3 protease of human hepatitis C virus) and want to introduce their structural characteristics and some functions.

• Communications for Statistical Applications and Methods
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• v.19 no.1
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• pp.117-128
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• 2012

In Baccarat, the gambler can bet on either the Player or Banker. The only gambler's strategy is to consider the previous winning history on the round. The winning probabilities of Player or Banker are calculated by simulation using R. Conditional winning probabilities given that Player or Banker has won i consecutive times are also calculated by simulation. Conditional winning probability implies that the sequence of Baccarat results is an almost independent sequence of events. It has been shown that the total amount of returns in each round of games is almost identical to a random walk. Thus, one possible strategy is to catch the trend(the Player or the Banker) of the random walk and to bet on that side of the trend.

• Journal of Korea Multimedia Society
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• v.4 no.2
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• pp.182-188
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• 2001

In this paper, We proposed a pseudo-random bit sequence generator based on the concept of n-dimensional cellular automata which is a method of analyzing dynamical systems. The proposed generator is designed for using and disusing key. And the key size is variable from 128 bits to 256 bits. The generator was estimated to generate 380Mbits/sec under Pentium MMX 200MHz (64M RAM, Windows 98).

• Journal of the Korean Mathematical Society
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• v.43 no.4
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• pp.859-869
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• 2006

Let {$X,\;X_n;n\;{\geq}\;1$} be a sequence of ${\imath}.{\imath}.d.$ random variables which belong to the attraction of the normal law, and $X^{(1)}_n,...,X^{(n)}_n$ be an arrangement of $X_1,...,X_n$ in decreasing order of magnitude, i.e., $\|X^{(1)}_n\|{\geq}{\cdots}{\geq}\|X^{(n)}_n\|$. Suppose that {${\gamma}_n$} is a sequence of constants satisfying some mild conditions and d'($t_{nk}$) is an appropriate truncation level, where $n_k=[{\beta}^k]\;and\;{\beta}$ is any constant larger than one. Then we show that the conditionally trimmed sums obeys the self-normalized law of the iterated logarithm (LIL). Moreover, the self-normalized LIL for conditionally censored sums is also discussed.

• Proceedings of the Korean Institute of Navigation and Port Research Conference
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• 2007.12a
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• pp.226-227
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• 2007

Significant increase of container flows in marine terminals requires more efficient automatic port systems. This paper presents a novel routing and collision avoidance algorithm of linear motor based shuttle cars using random access sequence dynamic programming (RAS DP). The proposed RAS DP is accomplished online for determining optimal paths for each shuttle car.

• Communications of the Korean Mathematical Society
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• v.21 no.4
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• pp.779-786
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• 2006

Let $\mathbb{X}_t$ be an m-dimensional linear process defined by $\mathbb{X}_t=\sum{_{j=0}^\infty}\;A_j\;\mathbb{Z}_{t-j}$, t = 1, 2, $\ldots$, where $\mathbb{Z}_t$ is a sequence of m-dimensional random vectors with mean 0 : $m\times1$ and positive definite covariance matrix $\Gamma:m{\times}m$ and $\{A_j\}$ is a sequence of coefficient matrices. In this paper we give sufficient conditions so that $\sum{_{t=1}^{[ns]}\mathbb{X}_t$ (properly normalized) converges weakly to Wiener measure if the corresponding result for $\sum{_{t=1}^{[ns]}\mathbb{Z}_t$ is true.

• Journal of KIISE:Computer Systems and Theory
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• v.26 no.6
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• pp.662-669
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• 1999

Digital watermarking이란 영상이나 비디오, 오디오, 텍스트 등의 저작물에 잘 식별되지 않는 표시를 삽입하여 저작권을 보호하는 방법으로 소유권자의 동의없이 저작물을 배포, 복사되는 것을 방지하는 법이다. 본 논문은 watermark를 삽입하기 위해서 sin과 cos 함수를 이용한 Fourier 급수전개를 이용하였다. 우선 , 원 이미지를 주파수 영역으로 변환한 다음 watermark를 삽입할 위치를 M $\times$Nro의 Random Sequence를 발생하여 결정하였으며, M개의 파형을 가장 직교성이 좋다고 하는 sin 함수와 cos 함수를 이용하여 Fourier 급수전개를 하였다. 이 때, sin과 cos의 n의 고조파 역시 Random Sequence를 발생하여 결정하였다. 제안한 알고리즘은 이와 같이 Fourier 급수전개를 했을 때 각 항의 Fourier 계수를 산출하여 이 Fourier 계수에 watermark를 삽입하였다. 실험 결과 JPEG 압축, Blurring, 노이즈삽입 등의 이미지 왜곡에 대하여 watermark 상관관계가 최소 0.1979에서 최대 0.9732까지의 견고성(robustness)을 보였다.

• Honam Mathematical Journal
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• v.21 no.1
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• pp.149-156
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• 1999

Let $\{X_n,\;n{\geq}1\}$ be a sequence of pairwise negative quadrant dependent (NQD) random variables which are stochastically dominated by X. Let $\{a_n,\;n{\geq}1\}$ and $\{b_n,\;n{\geq}1\}$ be sequences of constants such that $a_n>0$ and $0. In this note a weak law of large number of the form $({\sum}_{j=1}^na_jX_j-{\nu}_n)/b_n\rightarrow\limits^p0$ is established, where $\{{\nu}_n,\;n{\geq}1\}$ is a suitable sequence.

• Genomics & Informatics
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• v.5 no.1
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• pp.6-9
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• 2007

An RNase P ribozyme library has been developed as a tool for functional genomics studies. Each clone of this library contains a random 18-mer and the sequence of M1 RNA, the catalytic subunit of RNase P. Repression of target gene expression is thus achieved by the complementary binding of mRNA to the random guide sequence and the successive target cleavage via M1 RNA. Cellular expression of the ribozyme expression was confirmed, and EGFP mRNA was used as a model to demonstrate that the RNase P ribozyme expression system can inhibit the target gene expression. The constructed RNase P ribozyme library has a complexity of $1.4\times10^7$. This novel library system should become a useful in functional genomics, to identify novel gene functions in mammalian cells.

• Proceedings of the KOSOMBE Conference
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• v.1997 no.11
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• pp.91-94
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• 1997

In this paper, pseudo-random ternary sequence (PRTS) was used to investigate the cardiovascular and respiratory responses to hypoxia and hypercapnia. The actual input or this study was the changes in inhaled oxygen and carbon dioxide concentrations. It is hard to randomly change the concentration within a given breath. Since PRTS has almost the same statistical properties as Gaussian white noise, plus it is physically realizable, PRTS is used for this study. Using PRTS and Volterra kernels by Gram-Schmidt orthogonalization procedure, the cardiovascular and respiratory responses to hypoxia and hypercapnia were analyzed.