• Journal of the Korean Mathematical Society
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• v.32 no.2
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• pp.363-370
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• 1995

A famous result of Chow and Robbins [8] asserts that if ${X_n, n \geq 1}$ are independent and identically distributed (i.i.d.) random variables with $E$\mid$X_1$\mid$ = \infty$, then for each sequence of constants ${M_n, n \geq 1}$ either $$ (1) lim inf_{n\to\infty} $\mid$\frac{M_n}{\sum_{j=1}^{n}X_j}$\mid$ = 0 almost certainly (a.c.) $$ or $$ (2) lim sup_{n\to\infty}$\mid$\frac{M_n}{\sum_{j=1}^{n}X_j}$\mid$ = \infty a.c. $$ and thus $P{lim_{n\to\infty} \sum_{j=1}^{n}X_j/M_n = 1} = 0$. Note that both (1) and (2) may indeed prevail.

• The Korean Journal of Financial Management
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• v.15 no.2
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• pp.401-419
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• 1998

This paper examines the international arbitrage pricing model (IAPM) in regional equity markets setting. Factor analyses are used to estimate the international common risk factors. And the cross-sectional regression analyses are used to test the validity of regional IAPMs and Chow tests are used to evaluate the integration of regional equity markets. The results of factor analyses show that the number of common factors in each regional group is seven. The cross-sectional regression results lead us not to reject that the IAPMs are regionally valid but Chow test results lead us to reject that regional equity markets are integrated.

• 한국사회복지학회:학술대회논문집
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• 2002.10a
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• pp.311-324
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• 2002

• Proceedings of the Korea Water Resources Association Conference
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• 2005.09a
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• pp.13-15
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• 2005

• Proceedings of the Korea Water Resources Association Conference
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• 2005.09b
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• pp.1159-1161
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• 2005

• Proceedings of the Korea Air Pollution Research Association Conference
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• 2006.10a
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• pp.173-174
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• 2006

• Proceedings of the Korea Society of Environmental Toocicology Conference
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• 2004.11a
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• pp.41-42
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• 2004

• Proceedings of the Korea Water Resources Association Conference
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• 2009.05a
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• pp.1546-1550
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• 2009

최근 증가하고 있는 집중호우로 인해 피해 규모가 대형화 되어가고 있는 추세로 수공구조물 설계시 보다 정확한 수문분석을 요구 하고 있다. 강우의 시간분포는 정확한 수공구조물의 설계시 첨두홍수량 산정에 가장 중요한 영향을 미친다. 따라서 본 연구에서는 지역의 기상학적, 지형학적 특성에 맞는 적절한 강우분포형을 제시하고자 한다. 본 연구는 금호강권역의 단시간 강우에 대한 시간분포형을 결정하기 위하여 기존 강우의 시간분포방법 중에서 개념상 비교적 단순하면서도 물리적으로 의미를 갖는 Mononobe분포, Yen & Chow분포, Keifer & Chu분포의 방법을 이용하였다. 대상지점은 금호강권역의 가창으로 재현기간 50년의 6시간, 24시간 강우의 시간적 분포특성을 비교분석한 결과 6시간 확률강우량에서는 Mononobe 분포와 Keifer & Chu 분포의 첨두치가 비교적 크게 나타났고 24시간 확률강우량에서는 Keifer & Chu 분포의 첨두치가 가장 크게 나타났다. Yen & Chow 분포의 경우 6시간 강우의 첨두치에 비해 24시간 강우의 첨두치가 급격히 감소하는 것을 알 수 있다. 또한 확률강우를 이용해서 홍수유출량을 분석한 결과 6시간, 24시간의 첨두홍수량은 Keifer & Chu 분포가 가장 크게 나오는 것으로 나타났고 첨두시간 역시 Keifer & Chu 분포가 가장 빠른 것으로 나타났다. 최근 다양한 설계강우의 시간분포 방법들이 실제 강우분포의 특성을 표현하고 있지만 이러한 방법들 중에서 실제로 유역에 가장 적합한 시간분포 방법을 결정하기란 어렵다. 하지만, 첨두홍수량 결정을 위해서는 여러 가지 방법들 중 그 지역을 가장 대표할 수 있는 강우분포 방법을 선택해야만 한다. 따라서 분석지점 이외의 다양한 실제 지점에 대해 설계홍수량을 산정해 봄으로써 다른 설계강우의 시간분포 방법을 이용하여 산정한 결과의 비교 검토가 필요할 것으로 사료된다.

• The Korean Journal of Physiology and Pharmacology
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• v.21 no.6
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• pp.633-641
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• 2017

The aim of this study is to investigate the effects of intermittent ladder-climbing exercise training on mitochondrial biogenesis and ER stress of the cardiac muscle in high fat diet-induced obese middle-aged rats. We induced obesity over 6 weeks of period in 40 male Sprague-Dawley rats around 50 weeks old, and were randomly divided into four experimental groups: chow, HFD, exercise+HFD, and exercise+chow. The exercising groups underwent high-intensity intermittent training using a ladder-climbing and weight exercise 3 days/week for a total of 8 weeks. High-fat diet and concurrent exercise resulted in no significant reduction in body weight but caused a significant reduction in visceral fat weight (p<0.05). Expression of $PPAR{\delta}$ increased in the exercise groups and was significantly increased in the high-fat diet+exercise group (p<0.05). Among the ER stress-related proteins, the expression levels of p-PERK and CHOP, related to cardiac muscle damage, were significantly higher in the cardiac muscle of the high-fat diet group (p<0.05), and were significantly reduced by intermittent ladder-climbing exercise training (p<0.05). Specifically, this reduction was greater when the rats underwent exercise after switching back to the chow diet with a reduced caloric intake. Collectively, these results suggest that the combination of intermittent ladder-climbing exercise training and a reduced caloric intake can decrease the levels of ER stress-related proteins that contribute to cardiac muscle damage in obesity and aging. However, additional validation is required to understand the effects of these changes on mitochondrial biogenesis during exercise.

• Journal of Communications and Networks
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• v.18 no.3
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• pp.273-287
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• 2016

White-box cryptography presented by Chow et al. is an obfuscation technique for protecting secret keys in software implementations even if an adversary has full access to the implementation of the encryption algorithm and full control over its execution platforms. Despite its practical importance, progress has not been substantial. In fact, it is repeated that as a proposal for a white-box implementation is reported, an attack of lower complexity is soon announced. This is mainly because most cryptanalytic methods target specific implementations, and there is no general attack tool for white-box cryptography. In this paper, we present an analytic toolbox on white-box implementations of the Chow et al.'s style using lookup tables. According to our toolbox, for a substitution-linear transformation cipher on n bits with S-boxes on m bits, the complexity for recovering the $$O\((3n/max(m_Q,m))2^{3max(m_Q,m)}+2min\{(n/m)L^{m+3}2^{2m},\;(n/m)L^32^{3m}+n{\log}L{\cdot}2^{L/2}\}\)$$, where $m_Q$ is the input size of nonlinear encodings,$m_A$ is the minimized block size of linear encodings, and $L=lcm(m_A,m_Q)$. As a result, a white-box implementation in the Chow et al.'s framework has complexity at most $O\(min\{(2^{2m}/m)n^{m+4},\;n{\log}n{\cdot}2^{n/2}\}\)$ which is much less than $2^n$. To overcome this, we introduce an idea that obfuscates two advanced encryption standard (AES)-128 ciphers at once with input/output encoding on 256 bits. To reduce storage, we use a sparse unsplit input encoding. As a result, our white-box AES implementation has up to 110-bit security against our toolbox, close to that of the original cipher. More generally, we may consider a white-box implementation of the t parallel encryption of AES to increase security.