• 대한수학회지
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• 제45권6호
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• pp.1601-1611
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• 2008

Let X, $X_1$, $X_2$, ... be i.i.d. random variables with zero means, variance one, and set $S_n\;=\;{\sum}^n_{i=1}\;X_i$, $n\;{\geq}\;1$. Gut and $Sp{\check{a}}taru$ [3] established the precise asymptotics in the law of the iterated logarithm and Li, Nguyen and Rosalsky [7] generalized their result under minimal conditions. If P($|S_n|\;{\geq}\;{\varepsilon}{\sqrt{2n\;{\log}\;{\log}\;n}}$) is replaced by E{$|S_n|/{\sqrt{n}}-{\varepsilon}{\sqrt{2\;{\log}\;{\log}\;n}$}+ in their results, the new one is called the moment version of precise asymptotics in the law of the iterated logarithm. We establish such a result for self-normalized sums, when X belongs to the domain of attraction of the normal law.

• 한국전기전자재료학회:학술대회논문집
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• 한국전기전자재료학회 2003년도 춘계학술대회 논문집 디스플레이 광소자분야
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• pp.100-103
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• 2003

Signal detection technologies such as fluorescence, charge and electrochemical detection used in the monolithic capillary electrophoresis system to convert the biochemical reaction into the electrical signal. The fluorescence detection using photodiodes that measure fluorescence emitted from eluting molecules is widely used for the monolithic capillary electrophoresis system. In this paper, in order to fabricate a photosensor has the increased sensitivity, we investigated on the sensitivity of general type and p-i-n type diode. The p-i-n diode has higher sensitivity than photodiode. Considering these results, we fabricated p-i-n diodes on the high resistive$(4k{\Omega}{\cdot}cm)$ wafer into rectangle and finger pattern and compared internal resistance of each pattern. The internal resistance of p-i-n diode can be decreased by the application of finger pattern has parallel resistance structure from $571{\Omega}$ to $393{\Omega}$.

• Kyungpook Mathematical Journal
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• 제48권4호
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• pp.721-727
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• 2008

Let $W_{\alpha}$ be a weighted shift with positive weight sequence ${\alpha}=\{\alpha_i\}_{i=0}^{\infty}$. The semi-cubical hyponormality of $W_{\alpha}$ is introduced and some flatness properties of $W_{\alpha}$ are discussed in this note. In particular, it is proved that if ${\alpha}_n={\alpha}_{n+1}$ for some $n{\geq}1$, ${{\alpha}_{n+k}}={\alpha}_n$ for all $k{\geq}1$.

• Radiation Oncology Journal
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• 제24권4호
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• pp.272-279
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• 2006

목 적: 항산화 효소인 peroxiredoxin (Prx) I과 II가 유해자극에 의해서 유발되는 세포내 반응성 산소족(reactive oxygen species, ROS)에 대한 방어기전에 관여하는지 알아보고자 이 연구를 시행하였다. 대상 및 방법: SK-N-BE2C (신경아세포종세포)와 Rat2 (섬유모세포)에서 PrxI과 PrxII 발현을 보기 위하여 방사선조사, cisplatin 단독투여 및 cisplatin-방사선조사병합투여 후에 PrxI과 PrxII에 대한 western blot을 시행하였다. 또한 N-acetyl-L-cysteine (NAC)에 의하여 PrxI과 PrxII 발현에 미치는 영향과 세포생존율을 함께 조사하였다. 두 종류 세포에 방사선조사, 다양한 농도의 cisplatin을 단독투여 및 방사선조사와 병합투여 시 생존율을 각각 분석하였고 SK-N-BE2C의 각 군에서 시간별 생존율을 관찰하였다. 결 과: PrxI의 발현은 SK-N-BE2C에서 방사선조사 후 60분까지 증가하였으나 NAC 전처치한 경우 방사선조사 후 60분에서는 대조군에 비하여 약간 증가하였다. Rat2에서는 방사선조사 후 NAC 전처치 여부에 관계없이 증가하지 않았다. PrxII의 발현은 두 가지 세포 모두에서 방사선조사와 NAC 전처치 여부에 관계없이 증가하지 않았다. SK-N-BE2C와 Rat2에서 다양한 농도의 cisplatin 단독투여나 cisplatin-방사선조사병합시에는 PrxI 및 PrxII의 발현은 증가하지 않았다. SK-N-BE2C와 Rat2에서 NAC 전처치 여부에 따른 방사선조사군 및 cisplatin-방사선조사병합군의 생존율을 각각 비교한 결과 PrxI의 발현이 증가되었고, NAC 전처치하였으며 cisplatin의 농도가 낮을수록 유의하게 생존율이 높았다. SK-N-BE2C에서 NAC를 전처치한 방사선조사군의 생존율이 NAC 전처치 안한 방사선조사군에 비하여 높은 경향만 보였으나, Rat2에서는 유의한 차이로 NAC를 전처치한 방사선조사군의 생존율이 높았다. SK-N-BE2C에서 시간별 생존율을 측정한 결과는 방사선조사군과 cisplatin-방사선조사병합군을 비교하면 방사선조사군이 빠른 세포생존율의 감소를 보였으며 12시간 때에 최대의 차이를 보였으나 48시간에서는 cisplatin-방사선조사병합군의 세포생존율이 유의하게 낮았다. 결 론: 방사선조사로 반응성 산소족이 증가되면 PrxI 발현이 증가되었으며 반응성 산소족 청소제인 NAC의 전처치에 의하여 PrxI의 발현이 감소되었다. Cisplatin은 PrxI의 발현을 억제하여 반응성 산소족에 의한 세포손상을 증가시키며 방사선으로 인한 세포치사효과를 증가시켰다고 판단된다. 이상의 결과로 PrxI의 발현여부가 방사선조사나 cisplatin의 세포치사기전에 부분적으로 관여하고 있을 것이라고 생각한다.

• 대한수학회보
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• 제57권6호
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• pp.1383-1392
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• 2020

Let H_n be the n-th harmonic number and let ν_n be its denominator. Shiu proved that there are infinitely many positive integers n with ν_n = ν_n+1. Recently, Wu and Chen proved that the set of positive integers n with ν_n = ν_n+1 has density one. They also proved that the same result is true for the denominators of alternating harmonic numbers. In this paper, we prove that the result is true for the denominators of 𝜀-harmonic numbers, where 𝜀 = {𝜀_i}^∞_i=1 is a pure recurring sequence with 𝜀_i ∈ {-1, 1}.

• 대한한방소아과학회지
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• 제22권1호
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• pp.13-24
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• 2008

Objectives This study was designed to analyze the clinical studies on Mental retardation(MR) in traditional Chinese medicine(TCM). Methods For this study, we searched the clinical studies on MR, which had been published from 2003 to 2007, through web site CNKI(中國知識基礎設施工 http://www.cnki.net). There were 17 clinical studies and we focused on those studies. Results 1. In those Chinese studies, they used following words to describe Mental retardation; 小人弱智($xi\check{a}o\acute{e}rru\grave{o}zh\grave{i}$), 智能發育不全($zh\grave{i}n\acute{e}ngf\bar{a}y\grave{u}buqu\acute{a}n$), 智力低下($zh\grave{i}l\grave{i}d\bar{i}xi\grave{a}$), 精神發育遲滯($j\bar{i}ngsh\acute{e}f\bar{a}y\grave{u}ch\acute{i}zh\grave{i}$), 智能落后($zh\grave{i}n\acute{e}nglu\grave{o}h\grave{o}u$), 智能落后($zh\grave{i}n\acute{e}ngch\acute{i}hu\check{a}n$), 失天愚型患人($xi\bar{a}nti\bar{a}ny\acute{u}x\acute{i}nghu\grave{a}n'\acute{e}r$). 2. There were many kinds of TCM treatment methods for MR, such as herbal medicine, acupuncture, electroacupunture, acupoint injection, Chuna therapy, and special education. And those TCM treatments methods showed higher efficacies in the treatment of MR compared with Western medicine. 3. Mental retardation was related with the deficiency of heart, kidney, liver, spleen(心虛, 腎虛, 肝虛, 脾虛) and the pathological mechanism of Phlegm(絹) and Blood stasis(慫沂)in the studies about the Bian Zheng-the types of differential diagnosis- of MR. 4. Most of studies used Intelligence Quotient(IQ) to assess the efficacy of TCM treatment of MR. And the duration of treatment, the degree of illness, the age of patient, and the cause of illness affected the prognosis of MR. Conclusions These results suggest that traditional medicine could be one of the useful treatments on MR. And these results could be used in the clinical practices and studies on MR in Korea.

• 대한수학회보
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• 제26권1호
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• pp.35-42
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• 1989

Let .ohm.$_{n}$ and Pm $t_{n}$ denote the sets of all n*n doubly stochastic matrices and the set of all n*n permutation matrices respectively. For m*n matrices A=[ $a_{ij}$ ], B=[ $b_{ij}$ ] we write A.leq.B(A$a_{ij}$ .leq. $b_{ij}$ ( $a_{ij}$ < $b_{ij}$ ) for all i=1,..,m; j=1,..,n. Let $I_{n}$ denote the identity matrix of order n, let $J_{n}$ denote the n*n matrix all of whose entries are 1/n, and let $K_{n}$=n $J_{n}$. For a complex square matrix A, the permanent of A is denoted by per A. Let $E_{ij}$ denote the matrix of suitable size all of whose entries are zeros except for the (i,j)-entry which is one.hich is one.

• 대한수학회지
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• 제36권6호
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• pp.1133-1143
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• 1999

Chaterji strengthened version of a theorem for martin-gales which is a generalization of a theorem of Marcinkiewicz proving that if $X_n$ is a sequence of independent, identically distributed random variables with $E{\mid}X_n{\mid}^p\;<\;{\infty}$, 0 < P < 2 and $EX_1\;=\;1{\leq}\;p\;<\;2$ then $n^{-1/p}{\sum^n}_{i=1}X_i\;\rightarrow\;0$ a,s, and in $L^p$. In this paper, we probe a version of law of large numbers for double arrays. If ${X_{ij}}$ is a double sequence of random variables with $E{\mid}X_{11}\mid^log^+\mid X_{11}\mid^p\;<\infty$, 0 < P <2, then $lim_{m{\vee}n{\rightarrow}\infty}\frac{{\sum^m}_{i=1}{\sum^n}_{j=1}(X_{ij-a_{ij}}}{(mn)^\frac{1}{p}}\;=0$ a.s. and in $L^p$, where $a_{ij}$ = 0 if 0 < p < 1, and $a_{ij}\;=\;E[X_{ij}\midF_[ij}]$ if $1{\leq}p{\leq}2$, which is a generalization of Etemadi's marcinkiewicz-type SLLN for double arrays. this also generalize earlier results of Smythe, and Gut for double arrays of i.i.d. r.v's.

• 대한예방한의학회지
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• 제17권1호
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• pp.51-63
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• 2013

Objectives : This study aimed to investigate the current situation of Internet health counseling in Korean Medicine by analyzing the contents and pattern of the questions and answers in NAVER Jisik-iN. Methods : 1,121 questions answered by Korean Medicine doctors in NAVER Jisik-iN from January 2012 to June 2012 were extracted and analyzed. The contents and pattern of the questions and answers were classified. Then statistical analysis was performed and the research findings were compared with other studies. Results : Korean Medicine (KM) accounted for 1.73 percent of health counseling in NAVER Jisik-iN. Analyzing the questions and answers of KM counseling, questions about symptoms and answers providing medical knowledge were most common. The most frequently asked symptom was digestive disorder. Applying to Suchman's "Stage of Illness and Medical Care" model, 'the symptom-experience' stage took the first place. Conclusions : KM counseling in NAVER Jisik-iN has served as guidance for potential Korean Medicine consumers by providing medical knowledge about symptoms. For more effective guidance there should be a systematic Internet counseling system offering reliable information by KM doctors to meet the needs of medical consumers.

• 대한수학회보
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• 제44권1호
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• pp.83-86
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• 2007

We determine the largest integer i such that $0 and the coefficient of $t^{i}$ is odd in the polynomial $(1+t+t^{2}+{\cdots}+t^{n})^{n+1}$. We apply this to prove that the co-index of the tangent bundle over $FP^{n}$ is stable if $2^{r}{\leq}n<2^{r}+\frac{1}{3}(2^{r}-2)$ for some integer r.