• 대한수학회논문집
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• 제29권3호
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• pp.463-478
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• 2014

We find criteria for symmetrized monomials to be non-hit in the $\mathcal{A}_2$-algebra of symmetric polynomials in three variables, where $\mathcal{A}_2$ is the mod 2 Steenrod algebra.

• 대한수학회지
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• 제46권5호
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• pp.907-918
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• 2009

We extend some results involved the action of the Steenrod operations on monomials and get some corollaries on the hit problem. Then, by multiplying some special matrices, we obtain an efficient tool to compute the action of these operations.

• 대한수학회논문집
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• 제35권2호
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• pp.371-399
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• 2020

Let P_s := 𝔽₂[x₁, x₂, …, x_s] = ⊕_n⩾0(P_s)_n be the polynomial algebra viewed as a graded left module over the mod 2 Steenrod algebra, ${\mathfrak{A}}$. The grading is by the degree of the homogeneous terms (P_s)_n of degree n in the variables x₁, x₂, …, x_s of grading 1. We are interested in the hit problem, set up by F. P. Peterson, of finding a minimal system of generators for ${\mathfrak{A}}$-module P_s. Equivalently, we want to find a basis for the 𝔽₂-graded vector space ${\mathbb{F}}_2{\otimes}_{\mathfrak{A}}$ P_s. In this paper, we study the hit problem in the case s = 5 and the degree n = 5(2^t - 1) + 6 · 2^t with t an arbitrary positive integer.

• 대한수학회지
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• 제58권3호
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• pp.643-702
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• 2021

Fix ℤ/2 is the prime field of two elements and write 𝒜₂ for the mod 2 Steenrod algebra. Denote by GL_d := GL(d, ℤ/2) the general linear group of rank d over ℤ/2 and by ${\mathfrak{P}}_d$ the polynomial algebra ℤ/2[x₁, x₂, …, x_d] as a connected unstable 𝒜₂-module on d generators of degree one. We study the Peterson "hit problem" of finding the minimal set of 𝒜₂-generators for ${\mathfrak{P}}_d$. Equivalently, we need to determine a basis for the ℤ/2-vector space $$Q{\mathfrak{P}}_d:={\mathbb{Z}}/2{\otimes}_{\mathcal{A}_2}\;{\mathfrak{P}}_d{\sim_=}{\mathfrak{P}}_d/{\mathcal{A}}^+_2{\mathfrak{P}}_d$$ in each degree n ≥ 1. Note that this space is a representation of GL_d over ℤ/2. The problem for d = 5 is not yet completely solved, and unknown in general. In this work, we give an explicit solution to the hit problem of five variables in the generic degree n = r(2^t - 1) + 2^ts with r = d = 5, s = 8 and t an arbitrary non-negative integer. An application of this study to the cases t = 0 and t = 1 shows that the Singer algebraic transfer of rank 5 is an isomorphism in the bidegrees (5, 5 + (13.2⁰ - 5)) and (5, 5 + (13.2¹ - 5)). Moreover, the result when t ≥ 2 was also discussed. Here, the Singer transfer of rank d is a ℤ/2-algebra homomorphism from GL_d-coinvariants of certain subspaces of $Q{\mathfrak{P}}_d$ to the cohomology groups of the Steenrod algebra, $Ext^{d,d+*}_{\mathcal{A}_2}$ (ℤ/2, ℤ/2). It is one of the useful tools for studying these mysterious Ext groups.

• 한국안전학회지
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• 제35권3호
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• pp.72-78
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• 2020

The accident fatality rate has decreased by more than 90% compared to 2006, due to the safety management and safety investment based on the Rail Safety Act. Most railway safety indicators, including fatality rates, have improved significantly from 60% to 80%, reaching the level of developed countries in terms of most railway safety indicators. However, the only staff fatality rate at work is not improved, and it is 3 to 5 times higher than that of developed countries. Most of the fatality occurred during employee's work recently occurred due to accidents hit by train while track work. In principle, when operating track need to check or maintenance, the operation of the train should be stopped and the work carried out. However, in Korea, due to the highest passenger density and train operating density in the world, it is caused by a structural problem that requires workers to enter the track while the train is running and perform various tasks such as maintenance and inspection. In this study, we analyzed the risk of accidents caused by hit by trains on the track, which is the biggest cause of staff fatality, using the main statistics of the last 10 years. In detail, the scenarios of the main causes of hit by trains and workers were formed to suggest the effectiveness of the current preventive measures and supplementary.

• 대한핵의학회지
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• 제26권1호
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• pp.8-13
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• 1992

Low doses of ionizing radiation from external or internal sources cause heterogeneous distribution of energy deposition events in the exposed biological system. With the cell being the individual element of the tissue system, the fraction of cells hit, the dose received by the hit, and the biological response of the cell to the dose received eventually determine the effect in tissue. The hit cell may experience detriment, such as change in its DNA leading to a malignant transformation, or it may derive benefit in terms of an adaptive response such as a temporary improvement of DNA repair or temporary prevention of effects from intracellular radicals through enhanced radical detoxification. These responses are protective also to toxic substances that are generated during normal metabolism. Within a multicellular system, the probability of detriment must be weighed against the probability of benefit through adaptive responses with protection against various toxic agents including those produced by normal metabolism. Because irradiation can principally induce both, detriment and adaptive responses, one type of affected cells may not be simply summed up at the expense of cells with other types of effects, in assessing risk to tissue. An inventory of various types of effects in the blood forming system of mammals, even with large ranges of uncertainty, uncovers the possibility of benefit to the system from exposure to low doses of low LET radiation. This experimental approach may complement epidemiological data on individuals exposed to low doses of ionizing radiation and may lead to a more rational appraisal of risk.

• 한국산학기술학회논문지
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• 제12권6호
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• pp.2785-2792
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• 2011

프록시 시스템에서 지연, 혼잡, 간섭 등의 문제는 QoS(Quality of Service)를 떨어뜨릴 뿐만 아니라 또한 스트리밍 미디어 서비스의 응답성과 신뢰성을 떨어뜨린다. 본 논문에서는 이러한 문제를 해결하기 위하여 새로운 퍼지적합도 기반의 트랜스코딩 프록시 FRTP(Fuzzy Relevance-based Transcoding Proxy) 메커니즘을 제안한다. 제안된 FRTP메커니즘은 미디어 객체의 분할된 세그먼트 버전에 대한 퍼지 적합도를 분석하며, 분석된 퍼지 적합도에 따라 퍼지 적합도 트랜스코딩 그래프 FRTG(Fuzzy Relevance-based Transcoding Graph)를 생성한다. FRTG는 분할된 미디어 객체 세그먼트 버전들에 대한 트랜스코딩을 결정하게 되며, 결정된 트랜스코딩은 세그먼트 버전들 사이의 지연절약율 DSR(Delay Saving Ratios), 캐시 히트 정확률 CHPR(Cache Hit Precision Ratio), 그리고 캐시 히트 재현율 CHRR(Cache Hit Recall Ratio)을 향상시키게 된다. 제안된 기법의 성능을 알아보기 위하여 DSR, CHPR, 그리고 CHRR의 성능을 평가하였으며, 그 결과 제안된 기법이 비교 기법들에 비해서 DSR, CHPR, 그리고 CHRR의 성능이 향상됨을 알게 되었다.

• 한국통신학회논문지
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• 제29권5B호
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• pp.498-507
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• 2004

월드 와이드 웹에서 사용자의 요청에 대한 웹 서버의 신속하고 정확한 서비스는 매우 중요하다. 그러나 최근에 는 인터넷 사용자의 급속한 증가로 인하여 신속한 서비스가 어려운 상황이다. 이러한 문제를 해결하기 위해 분산 웹 캐싱이 사용되고 있다. 분산 웹 캐싱의 성능은 히트 율에 의해서 결정되며 히트 율은 메모리 사이즈, 서버의 처리속도, 로드밸런싱 등의 영향을 받는다. 기존의 로드밸런싱은 주로 현재의 시스템 상태를 기준으로 실시하고 있으나, 미래에 발생할 서비스를 예측하는 방법을 이용하여 로드밸런싱을 실시함으로써 히트 율의 향상이 가능하다. 본 연i레서는 웹 서버 또는 프록시에 요청하는 가장 빈번한 hot spot을 예측하구 예측된 hot spot을 공유하고 있는 프록시에 미리 패치함으로써 프록시의 활용을 개선하는 Hot Spot Prediction Method (HSPM)을 제안한다. 시뮬레이션을 통하여 제안한 방법이 기존의 consistent hashing보다 로드밸런싱, 히트 율 측면에서 우수함을 확인하였다.

• 한국경영과학회지
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• 제24권3호
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• pp.49-62
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• 1999

Artificial Neural Networks(ANN) have been successfully applied to various kinds of business and engineering problems, especially those involved in pattern classification. However, because of the lack of design standard or guidelines, the structure of specific ANN depends on the designer's own experiments or choices. In other words, even though we could construct a better ANN, we often steeled down with just a satisfactory ANN. The purpose of this research is to apply the Genetic Algorithm(GA) to design a structure of ANN that yields better performance compared to the existing test results. For a bankruptcy prediction problem. an exiting research using ANN which consists of 22 input processing elements(PEs) for financial ratios and 5 hidden PEs showed 70% hit ratio. In our research, the input financial ratios and the number of hidden PEs are determined by GA. The best ANN, which consists of 8 input PEs and 6 hidden PEs, shows 78.03% hit ratio. In addition, we compare the performance of two types of reproduction schemes, i.e., generational reproduction and steady-state reproduction.

• 자동차안전학회지
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• 제12권1호
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• pp.6-14
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• 2020

Personal mobility, which was used exclusively for leisure activities, has recently been used as a means of transportation, and it is expected to increase its role as the next generation transportation. Sales of personal mobility are increasing rapidly, but the problem is that traffic accidents are also increasing. In this study, human body injury caused by various collisions between electric wheel users and road users that occur on bicycle or pedestrian roads mainly used by personal mobility is analyzed through collision analysis and collision risk analysis. In the case of the collision accident for electric wheel, it is analyzed that the road users are more likely to be injured on the pedestrian road than the bicycle road. In addition, the head hit each other or fall and hit the floor caused severe head injury.