• 대한수학회보
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• 제50권6호
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• pp.2021-2026
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• 2013

Let G = (V,E) be a graph. A function $f:V{\rightarrow}\{-1,+1\}$ defined on the vertices of G is a signed total dominating function if the sum of its function values over any open neighborhood is at least one. The signed total domination number of G, ${\gamma}^s_t(G)$, is the minimum weight of a signed total dominating function of G. In this paper, we study the signed total domination number of generalized Petersen graphs P(n, 2) and prove that for any integer $n{\geq}6$, ${\gamma}^s_t(P(n,2))=2[\frac{n}{3}]+2t$, where $t{\equiv}n(mod\;3)$ and $0 {\leq}t{\leq}2$.

• Tuberculosis and Respiratory Diseases
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• 제56권6호
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• pp.611-618
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• 2004

서 론 : 특발성 폐섬유화증은 원인 모르게 폐 내에 섬유화가 진행하여 진단 후 중간생존기간이 3-5년 정도로 보고되는 치명적인 질환이나 생존기간을 증가시키는 효과가 있는 치료제는 아직 알려져 있지 않다. 최근 스테로이드나 다른 면역억제제 치료에 반응이 없는 IPF에서 INF-${\gamma}$이 효과가 있다는 보고가 있었으나 아직은 많은 논란이 있어 진행된 IPF 환자에서 INF-${\gamma}$ 효과를 관찰하기 위하여 본 연구를 시행하였다. 방 법 : 1999년 1월부터 2001년 3월까지 IPF-UIP로 진단되었던 환자 중 스테로이드제제 및 기존의 면역억제제에 반응을 보이지 않았던 9명 (연령 $55.4{\pm}15.3$세, 남:여=8:1)을 대상으로 INF-${\gamma}$ 200만 unit를 주당 3회 피하주사로 12개월간 저용량 스테로이드와 합께 투여하였다. INF-${\gamma}$ 투여시에도 UIP가 진행되거나 심각한 부작용 시 투여를 중단하였다. 결 과 : 1) 전체 9례 중 5례는 INF-${\gamma}$ 치료를 도중에 중단하였고 총 4례만이 INF-${\gamma}$ 12개월치료를 완료하였으나, 이들에서 UIP의 호전은 관찰되지 않았다 2) 전체 9례 중 5례가 치료 시작 후 12개월 이내에 질병악화로 인해 사망하였고, 1례는 INF-${\gamma}$ 치료종료 후 폐렴으로 사망하였다. 3) INF-${\gamma}$ 치료 시작시점에 생존군에 비하여 사망군의 폐기능이 저하되어 있었다(FVC: 추정 정상치의 $61.3{\pm}5.1$ %, vs. $45.7{\pm}12.3%$, P=0.048, $D_Lco$: $45.0{\pm}5.0$ % vs. $30.8{\pm}11.2$ %, P=0.048). 결 론 : 진행된 IPF에서 INF-${\gamma}$ 치료는 효과가 없었으며, 특히 심한 폐기능의 손상과 저산소증의 동반 시 INF-${\gamma}$의 투여는 주의를 요하는 것으로 사료되었다.

• 충청수학회지
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• 제20권4호
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• pp.375-386
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• 2007

Let p be a prime and $f(z)=\Sigma_{n}a(n)q^n$ be a weakly holomorphic modular function for ${\Gamma}^*_0(p)$ with a(0) = 0. We use Bruinier and Funke's work to find the generating series of modular traces of f(z) as Jacobi forms.

• Kyungpook Mathematical Journal
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• 제60권4호
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• pp.731-752
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• 2020

We introduce the p-deformation of generalized Humbert polynomials. For these polynomials, we derive the differential equation, generating function relations, Fibonacci-type representations, and recurrence relations and state the companion matrix. These properties are illustrated for certain polynomials belonging to p-deformed generalized Humbert polynomials.

• 대한의생명과학회지
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• 제24권4호
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• pp.411-417
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• 2018

The aim of this study was to investigate the impact of participation in the 622 km hyper-ultra-marathon on hepatic metabolism and renal function in middle-aged men. Healthy middle-aged male amateur ultra-marathoners between the ages of 40 and 60. Blood was collected at the pre-race, immediately after 300 km, 622 km hyper-ultra marathon race, 72 hours (3 day) and 144 hours (6 day) after the race, AST (aspartate aminotransferase), ALT (alanine aminotransferase), ALP (alkaline phosphatase), ${\gamma}$-GTP (gamma glutamyl transferase), T-Bil (total bilirubin), D-Bil (direct bilirubin), T-protein (total protein), albumin, uric acid, BUN (blood urea nitrogen), creatinne were analyzed. ALP was significantly increased at 300 km, 622 km, day 3 and day 6 than the pre-race. ${\gamma}$-GTP, T-protein, albumin, uric acid, BUN and creatinine were not significantly different between the distances and the recovery period respectively. AST and ALT were significantly increased at 300 km, 622 km, day 3 and day 6 than the pre-race, respectively (P<0.05) at day 3 and day 6 they showed significant decrease from 300 km and 622 km, respectively (P<0.05). T-Bil and D-Bil increased significantly at 300 km and 622 km, respectively (P<.05) and significantly decreased at day 3 (P<0.05) compared to the pre-race, at day 3 and day 6 they were decreased significantly than 300 km and 622 km, respectively (P<0.05). In conclusion, no disturbance of renal function was observed according to the distances and between the recovery period of 622 km hyper-ultra marathon race, but reversible hepatocyte function could be degraded and some hemolysis of blood vessels was induced.

• 대한수학회지
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• 제42권3호
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• pp.405-434
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• 2005

We establish appropriate $L^p$ estimates for a class of maximal operators $S_{\Omega}^{(\gamma)}$ on the product space $R^n\;\times\;R^m\;when\;\Omega$ lacks regularity and $1\;\le\;\gamma\;\le\;2.\;Also,\;when\;\gamma\;=\;2$, we prove the $L^p\;(2\;{\le}\;P\;<\;\infty)\;boundedness\;of\;S_{\Omega}^{(\gamma)}\;whenever\;\Omega$ is a function in a certain block space $B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ (for some q > 1). Moreover, we show that the condition $\Omega\;{\in}\;B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ is nearly optimal in the sense that the operator $S_{\Omega}^{(2)}$ may fail to be bounded on $L^2$ if the condition $\Omega\;{\in}\;B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ is replaced by the weaker conditions $\Omega\;{\in}\;B_q^{(0,\varepsilon)}(S^{n-1}\;\times\;S^{m-1})\;for\;any\;-1\;<\;\varepsilon\;<\;0.$

• 대한수학회보
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• 제46권5호
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• pp.1013-1018
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• 2009

Let * be an e.a.b. star operation on an integrally closed domain D, and let $K\gamma$(D, *) be the Kronecker function ring of D. We show that if D is a P*MD, then the mapping $D_{\alpha}{\mapsto}K{\gamma}(D_{\alpha},\;{\upsilon})$ is a bijection from the set {$D_{\alpha}$} of *-linked overrings of D into the set of overrings of $K{\gamma}(D,\;{\upsilon})$. This is a generalization of [5, Proposition 32.19] that if D is a Pr$\ddot{u}$fer domain, then the mapping $D_{\alpha}{\mapsto}K_{\gamma}(D_{\alpha},\;b)$ is a one-to-one mapping from the set {$D_{\alpha}$} of overrings of D onto the set of overrings of $K_{\gamma}$(D, b).

• 한국컴퓨터정보학회논문지
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• 제19권7호
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• pp.71-76
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• 2014

대표적인 공개키 암호방식인 RSA에 사용되는 합성수 n=pq의 큰자리 소수 p,q를 소인수분해하여 구하는 것은 사실상 불가능하다. 공개키 e와 합성수 n은 알고 개인키 d를 모를 때, ${\phi}(n)=(p-1)(q-1)=n+1-(p+q)$을 구하여 $d=e^{-1}(mod{\phi}(n))$의 역함수로 개인키 d를 해독할수 있다. 따라서 ${\phi}(n)$을 알기위해 n으로부터 p,q를 구하는 수학적 난제인 소인수분해법을 적용하고 있다. 소인수분해법에는 n/p=q의 나눗셈 시행법보다는 $a^2{\equiv}b^2(mod\;n)$, a=(p+q)/2,b=(q-p)/2의 제곱합동법이 일반적으로 적용되고 있다. 그러나 다양한 제곱합동법이 존재함에도 불구하고 아직까지도 많은 RSA 수들이 해독되지 않고 있다. 본 논문은 ${\phi}(n)$을 직접 구하는 알고리즘을 제안하였다. 제안된 알고리즘은 $2^j{\equiv}{\beta}_j(mod\;n)$, $2^{{\gamma}-1}$ < n < $2^{\gamma}$, $j={\gamma}-1,{\gamma},{\gamma}+1$에 대해 $2^k{\beta}_j{\equiv}2^i(mod\;n)$, $0{\leq}i{\leq}{\gamma}-1$, $k=1,2,{\ldots}$ 또는 $2^k{\beta}_j=2{\beta}_j$로 ${\phi}(n)$을 구하였다. 제안된 알고리즘은 $n-10{\lfloor}{\sqrt{n}}{\rfloor}$ < ${\phi}(n){\leq}n-2{\lfloor}{\sqrt{n}}{\rfloor}$의 임의의 위치에 존재하는 ${\phi}(n)$도 약 2배 차이의 수행횟수로 찾을 수 있었다.

• Journal of Microbiology and Biotechnology
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• 제9권6호
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• pp.826-831
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• 1999

${\beta}-Glucan$, one of the major cell wall components of Saccharomyces cerevisiae, is known to enhance the immune function, especially by activating macrophages. Accordingly, in an effort to develop a safe and efficient immune stimulatory agent, we prepared crude ${\beta}-glucan$ (glucan-p1) and partially purified ${\beta}-glucan$ that was free of mannoproteins (glucan-p2), and evaluated their effect on both the macrophage function and resistance to E. coli-induced peritonitis. To investigate the function of the macrophages, phagocytosis, $TNF-{\alpha}$ secretion, oxygen burst, and the expression of cytokine genes such as $IFN-{\gamma}$ and IL-12 were analyzed. Glucan-p2 markedly stimulated the macrophages with all these parameters. Glucan-p1, however, did not stimulate phagocytosis, yet it induced $TNF-{\alpha}$ secretion, oxygen burst, and the expression of $IFN-{\gamma}$ and IL-12, although less efficiently than glucan-p2. Finally, to test the in vivo protective effect of {\beta}-glucan against infection, the survival of mice from E. coli-induced peritonitis was investigated. After 24 h of the peritoneal challenge of E. coli, all of the mice treated with glucan-p2 survived whereas none survived in the control group. Glucan-p1 showed only a marginal effect in protecting the mice. These results suggest that mannoprotein-free gluean-p2, but not gluean-p1, can serve as an effective immune-stimulating agent.

• 한국컴퓨터정보학회논문지
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• 제20권8호
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• pp.29-33
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• 2015

This paper proposes a discrete logarithm algorithm that remarkably reduces the execution time of Pollard's Rho algorithm. Pollard's Rho algorithm computes congruence or collision of ${\alpha}^a{\beta}^b{\equiv}{\alpha}^A{\beta}^B$ (modp) from the initial value a = b = 0, only to derive ${\gamma}$ from $(a+b{\gamma})=(A+B{\gamma})$, ${\gamma}(B-b)=(a-A)$. The basic Pollard's Rho algorithm computes $x_i=(x_{i-1})^2,{\alpha}x_{i-1},{\beta}x_{i-1}$ given ${\alpha}^a{\beta}^b{\equiv}x$(modp), and the general algorithm computes $x_i=(x_{i-1})^2$, $Mx_{i-1}$, $Nx_{i-1}$ for randomly selected $M={\alpha}^m$, $N={\beta}^n$. This paper proposes 4-model Pollard Rho algorithm that seeks ${\beta}_{\gamma}={\alpha}^{\gamma},{\beta}_{\gamma}={\alpha}^{(p-1)/2+{\gamma}}$, and ${\beta}_{{\gamma}^{-1}}={\alpha}^{(p-1)-{\gamma}}$) from $m=n={\lceil}{\sqrt{n}{\rceil}$, (a,b) = (0,0), (1,1). The proposed algorithm has proven to improve the performance of the (0,0)-basic Pollard's Rho algorithm by 71.70%.