• Journal of applied mathematics & informatics
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• 제27권3_4호
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• pp.829-842
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• 2009

Let {$X_{ni}|1\;{\le}\;i\;{\le}\;n$, $n\;{\ge}\;1$} be an array of rowwise negatively associated random variables and let $\alpha$ > 1/2, 0 < p < 2 ${\alpha}p\;{\ge}\;1$. In this paper we discuss $n^{{\alpha}p-2}h(n)$ max $_{1\;{\le}\;k{\le}n}\;|\;{\sum}^k_{i=1}\;X_{ni}|/n^{\alpha}\;{\to}\;0$ completely as $n\;{\to}\;{\infty}$ under not necessarily identically distributed with a suitable conditions and h(x) > 0 is a slowly varying function as $x\;{\to}\;{\infty}$. In addition, we obtained that $n^{{\alpha}p-2}h(n)$ max $_{1\;{\le}\;k{\le}n}\;|\;{\sum}^k_{i=1}\;X_{ni}|/n^{\alpha}\;{\to}\;0$ completely as $n\;{\to}\;{\infty}$ if and only if $E|X_{11}|^ph(|X_{11}|^{1/\alpha})\;<\;{\infty}$ and $EX_{11}\;=\;0$ under identically distributed case and some corollaries are obtained.

• 대한수학회논문집
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• 제11권3호
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• pp.569-573
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• 1996

We study some special cases of Chow groups of a ramified complete regular local ring R of dimension n. We prove that (a) for codimension 3 Gorenstein ideal I, [I] = 0 in $A_{n-3}(R)$ and (b) for a particular class of almost complete intersection prime ideals P of height i, [P] = 0 in $A_{n-i}(R)$.

• Kyungpook Mathematical Journal
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• 제55권1호
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• pp.109-118
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• 2015

In the present paper, a new analytic function valued integral operator is introduced which is defined on n-copies of a subset of the class of normalized analytic functions on the unit disc of the complex plane. This operator, which is denoted here by $\mathfrak{J}^{{\alpha}_i,{\beta}_i}(f_1,{\ldots},f_n)$, unifies and generalizes several integral operators studied earlier. Interesting sufficient conditions are derived for the univalent starlikeness of $\mathfrak{J}^{{\alpha}_i,{\beta}_i}(f_1,{\ldots},f_n)$.

• 대한수학회보
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• 제50권6호
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• pp.2061-2070
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• 2013

In this paper, we investigate the generalized HyersUlam-Rassias stability of the following additive functional equation $$2\sum_{j=1}^{n}f(\frac{x_j}{2}+\sum_{i=1,i{\neq}j}^{n}\;x_i)+\sum_{j=1}^{n}f(x_j)=2nf(\sum_{j=1}^{n}x_j)$$, in quasi-${\beta}$-normed spaces.

• 대한화학회지
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• 제35권4호
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• pp.301-307
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• 1991

니트로벤젠 및 m-크실렌 용액내에서 1-요오드화프로판의 용해도를 8$^{\circ}$, 15$^{\circ}$및 25$^{\circ}C$에서 요오드화칼륨이 존재할 때와 존재하지 않을 때의 두 경우에 대하여 각각 측정하여 보았다. 요오드화칼륨이 존재하지 않을 때에 m-크실렌에서 1-요오드화프로판의 용해도가 니트로벤젠에서 보다 크다. 이것은 1-요오드화프로판과 m-크실렌의 상호작용이 니트로벤젠보다 더 강하다는 것을 나타낸다. 그리고 요오드화칼륨이 존재할 경우에는 용액내에서 1-요오드화프로판과 요오드화칼륨이 불안정한 착물이 생성된다. 이 착물을 여러 경우로 가정하여 계산하여 본 결과 1:1 착물일 때, 불안정 상수 K값이 비교적 일정한 값을 나타내었다. 그러므로 1:1 착물 n-C$_3H_7I{\cdot}GaI_3$가 형성됨을 알았으며, 이 착물은 용액내에서 다음 평형식에 의해서 이루어 진다고 본다. n-C$_3H_7I{\cdot}GaI_3{\rightleftharpoons}n-C_3H_7I+1/2Ga_2I_6$ 요오드화칼륨과 1-요오드화프로판의 착물의 불안정도를 이와 대응하는 요오드화메틸과 비교하여 보았다. 또한 이 착물의 해리에 대한 엔탈피, 자유에너지 및 엔트로피 변화도 산출하였다.

• 충청수학회지
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• 제32권1호
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• pp.15-21
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• 2019

Let X be a reduced closed subscheme in ${\mathbb{P}}^n$ and $${\pi}_q:X{\rightarrow}Y={\pi}_q(X){\subset}{\mathbb{P}}^{n-1}$$ be an isomorphic projection from the center $q{\in}{\mathbb{P}}^n{\backslash}X$. Suppose that the minimal free presentation of $I_X$ is of the following form $$R(-3)^{{\beta}2,1}{\oplus}R(-4){\rightarrow}R(-2)^{{\beta}1,1}{\rightarrow}I_X{\rightarrow}0$$. In this paper, we prove that $H^1(I_X(k))=H^1(I_Y(k))$ for all $k{\geq}3$. This implies that Y is k-normal if and only if X is k-normal for $k{\geq}3$. Moreover, we also prove that reg(Y) ${\leq}$ max{reg(X), 4} and that $I_Y$ is generated by homogeneous polynomials of degree ${\leq}4$.

• 대한한의학방제학회지
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• 제26권1호
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• pp.65-80
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• 2018

Objectives : This study aims to sort out prescription candidates for four major symptoms of Parkinson's disease from Korean traditional medical publication, "Dongeuibogam". Methods : Medical terms related to four major symptoms of Parkinson's disease were primarily selected from "Dongeuibogam". Prescriptions that include at least one or more medical terms which are selected above were classified by the four major symptoms of Parkinson's disease, and finally analyzed to sort the most effective candidates. Results & Conclusions : 1. There are 18 medical terms in efficacy ($ch{\grave{i}}$ $z{\grave{o}}ng$, $j{\bar{u}}$ $lu{\acute{a}}n$, $j{\bar{i}}ng$${\check{u}}$ $ju{\check{a}}n$($ju{\check{a}}n$, $qu{\acute{a}}n$) $lu{\acute{a}}n$, $j{\bar{i}}ng$${\check{u}}$ $lu{\acute{a}}n$($lu{\acute{a}}n$) $t{\grave{o}}ng$, $j{\bar{i}}n$ $lu{\acute{a}}n$, $j{\bar{i}}n$ $t{\grave{i}}$, $sh{\check{o}}u$ $zh{\grave{e}}n$, $y{\acute{a}}ng$ $sh{\check{o}}u$, $lu{\acute{a}}n$ $j{\acute{i}}$, $lu{\acute{a}}n$ $b{\grave{i}}$, $r{\grave{o}}u$ $r{\acute{u}}n$, $zh{\grave{a}}n$ $di{\grave{a}}o$, $zh{\grave{a}}n$ $y{\acute{a}}o$, $zh{\grave{i}}$ $z{\acute{u}}$, $ch{\grave{e}}$ $t{\grave{o}}ng$, $ch{\bar{o}u}$ $ch{\grave{e}}$, $f{\bar{e}}ng$ $ch{\grave{u}}$, $ch{\grave{u}}$ $nu{\grave{o}}$) related to tremor, one of four major symptoms of Parkinson's disease. 2. There are 9 medical terms in efficacy ($qi{\acute{a}}ng$ $j{\acute{i}}$, $qi{\acute{a}}ng$ $zh{\acute{i}}$, $qi{\acute{a}}ng$ $t{\grave{o}}ng$, $j{\bar{u}}$ $j{\acute{i}}$, $j{\bar{i}}n$ $j{\acute{i}}$, $sh{\bar{e}}n$ $qi{\acute{a}}ng$, $lu{\acute{a}}n$ $j{\acute{i}}$, $y{\bar{a}}o$ $j{\acute{i}}$ $qi{\acute{a}}ng$, $xi{\grave{a}}ng$ $qi{\acute{a}}ng$) related to rigidity, one of four major symptoms of Parkinson's disease. 3. 38 prescription candidates (jiaweishouxingyuan, jiaweilonghusan, gehuajiexingtang, qiangfutang, qianghuoxuduantang, dawugongsan, duhuojishengtang, mahuangzuojingtang, fangfengbaizhumulitang, fangfengtongshengsan, baizhutang, buxinwan, fulingtang, binsusan, xieqingwan, sanbitang, shengdiqinliantang, shujinbaoansan, xingxiangsan, xiaotanfulingwan, shengjunwan, shenmizuojingtang, wuyaoshunqisan, yuzhenwan, wenjingyiyuantang, yiziqingjinsan, ziyinningshentang, shaoyaogancaotang, dingtongsan, zhushazhijiasan, cangzusan, chuanxiongfulingtang, tiedanyuan, choubaowan, duomingsan, xuanhusuosan, xuefengtang, huoluodan) were selected for tremor, one of the four major symptoms of Parkinson's disease. 4. 21 prescription candidates (qianghuoshengshitang, guizhiqianghuotang, guizhifuzitang, jiuweiqianghuotang(qianghuochonghetang), xiongzhixiangsusan, daqianghuotang, mahuangguizhitang, muguajian, fuzilizhongtang, shenzhusan, lianqiaobaidusan, yuzhensan, niuhuangjinhudan, renshenbaidusan, shaoyaogancaotang, jiuzhumuguazhou, cangzusan, shenxiangtianmatang, xiangjiaosan, xuefengtang, huishousan) were selected for rigidity, one of the four major symptoms of Parkinson's disease. 5. The results in this study ought to be verified by subsequent studies and clinical trials.

• 대한방사성의약품학회지
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• 제3권1호
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• pp.44-51
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• 2017

Herein we report an efficient radiolabeling method based on a rapid condensation reaction between N-terminal cysteine and 2-cyanobenzothiazole (CBT). Radioiodination of 2-cyano-6-hydroxybenzothiazole 2 was carried out using chloramine-T to give $^{125}I$-labeled CBT ([$^{125}I$]1) with a high radiochemical yield ($90{\pm}6%$ isolated yield, n=3) and radiochemical purity (>99%). To evaluate the radiolabeling efficiency of $^{125}I$-labeled CBT, model compounds, L-cysteine and N-terminal cysteine conjugated cRGD peptide were reacted with [$^{125}I$]1 under mild conditions. The radiolabeling reactions rapidly provided the $^{125}I$-labeled products [$^{125}I$]5 and [$^{125}I$]6 with excellent radiochemical yields and radiochemical purity. Therefore, we demonstrate that [$^{125}I$]1 will be a useful prosthetic group for radioactive iodine labeling of N-terminal cysteine bearing biomolecules.

• 한국전기전자재료학회:학술대회논문집
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• 한국전기전자재료학회 2004년도 하계학술대회 논문집 Vol.5 No.2
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• pp.906-911
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• 2004

In this paper, we used only PR as etching mask, while it used usually Cr/AU as etching mask, and in order to fabricate a photosensor has the increased sensitivity, we investigated on the sensitivity of general type and p-i-n type diode. we designed microchannel size width max 10um, min 5um depth max 10um, reservoir size max 100um, min 2mm. Fabrication of microfluidic devices in glass substrate by glass wet etching methods and glass to glass fusion bonding. 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 $393\Omega$.

• East Asian mathematical journal
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• 제34권3호
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• pp.305-316
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• 2018

Let R be a ring with identity. A right ideal ideal I of a ring R is called ref lexive (resp. completely ref lexive) if $aRb{\subseteq}I$ implies that $bRa{\subseteq}I$ (resp. if $ab{\subseteq}I$ implies that $ba{\subseteq}I$) for any $a,\;b{\in}R$. R is called ref lexive (resp. completely ref lexive) if the zero ideal of R is a reflexive ideal (resp. a completely reflexive ideal). Let K(R) (called the ref lexive radical of R) be the intersection of all reflexive ideals of R. In this paper, the following are investigated: (1) Some equivalent conditions on an reflexive ideal of a ring are obtained; (2) reflexive (resp. completely reflexive) property is Morita invariant; (3) For any ring R, we have $K(M_n(R))=M_n(K(R))$ where $M_n(R)$ is the ring of all n by n matrices over R; (4) For a ring R, we have $K(R)[x]{\subseteq}K(R[x])$; in particular, if R is quasi-Armendaritz, then R is reflexive if and only if R[x] is reflexive.