• 호남수학학술지
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• 제40권2호
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• pp.281-291
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• 2018

We associate a positive integer n and a subgroup H of the group $({\mathbb{Z}}/n{\mathbb{Z}})^{\times}$ with a polynomial $J_n,H(x)$, which is called the Galois polynomial. It turns out that $J_n,H(x)$ is a polynomial with integer coefficients for any n and H. In this paper, we provide an equivalent condition for a subgroup H to provide the Galois polynomial which is irreducible over ${\mathbb{Q}}$ in the case of $n=p^{e_1}_1{\cdots}p^{e_r}_r$ (prime decomposition) with all $e_i{\geq}2$.

• 대한수학회보
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• 제46권1호
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• pp.135-146
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• 2009

In the present note we study the properties of weak Armendariz rings, and the connections among weak Armendariz rings, Armendariz rings, reduced rings and IFP rings. We prove that a right Ore ring R is weak Armendariz if and only if so is Q, where Q is the classical right quotient ring of R. With the help of this result we can show that a semiprime right Goldie ring R is weak Armendariz if and only if R is Armendariz if and only if R is reduced if and only if R is IFP if and only if Q is a finite direct product of division rings, obtaining a simpler proof of Lee and Wong's result. In the process we construct a semiprime ring extension that is infinite dimensional, from given any semi prime ring. We next find more examples of weak Armendariz rings.

• 대한수학회지
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• 제56권1호
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• pp.239-263
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• 2019

The $Calder{\acute{o}}n$-Zygmund type estimate is proved for elliptic obstacle problems in bounded non-smooth domains. The problems are related to divergence form nonlinear elliptic equation with measurable nonlinearities. Precisely, nonlinearity $a({\xi},x_1,x^{\prime})$ is assumed to be only measurable in one spatial variable $x_1$ and has locally small BMO semi-norm in the other spatial variables x', uniformly in ${\xi}$ variable. Regarding non-smooth domains, we assume that the boundaries are locally flat in the sense of Reifenberg. We also investigate global regularity in the settings of weighted Orlicz spaces for the weak solutions to the problems considered here.

• 대한수학교육학회지:학교수학
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• 제16권3호
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• pp.613-631
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• 2014

본 연구는 초등학교 5학년 수학영재 학생들의 소수와 합성수에 대한 개념형성의 과정을 활동이론의 틀로 분석한 것으로 계산기 환경의 소집단 활동체계가 개인이 개념 형성하는데 어떤 영향을 주는지 살펴보았다. 자료 분석은 학생 활동지, 관찰 기록, 동영상과 인터뷰의 녹취록을 활용하였다. Vygotsky, Tall & Vinner의 개념 형성 과정을 적용하여 학생들의 수학적 개념 형성의 수준을 파악하였고, 활동이론에 기초한 교실 전체 집단 활동체계와 소집단 활동체계를 분석하여 학생의 개념 형성 단계를 도식화하였다. 본 연구 결과에 따르면 서로 다른 소집단에 속하는 구성원은 소집단 활동을 하고 난 후 한 학생은 의사개념 단계로 발전하였지만 다른 한 학생은 복합적 사고 단계를 벗어나지 못하여 소집단의 활동체계의 활동요소간의 상호작용이 활동 주체인 각 학생의 수학적 개념 형성 과정에 영향을 주었다.

• International Journal of Concrete Structures and Materials
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• 제7권1호
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• pp.71-78
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• 2013

Prestressed concrete (PC) is the predominant material in highway bridge construction. The use of high-strength concrete has gained wide acceptance in the PC industry. The main target in the highway industry is to increase the durability and the life-span of bridges. Cracking of elements is one aspect which affects durability. Recently, nine 7.62 meter long PC I-beams made with different concrete strength were designed according to a simple, semi-empirical equation developed at the University of Houston (UH) (Laskar et al., ACI Journal 107(3): 330-339, 2010). The UH Method is a function of shear span-to-depth ratio (a/d), concrete strength $\sqrt{f^{\prime}_c}$, web area $b_wd$, and amount of transverse steel. Based on testing these girders, the shear cracking strength of girders with different concrete strength and different shear span-to-depth ratio was investigated and compared to the available approaches in current codes such as ACI 318-11 (2011) and AASHTO LRFD Specifications (2010).

• Asia Pacific Journal of Business Review
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• 제4권1호
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• pp.61-77
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• 2019

This article explored the status of E-Government initiative in developing countries by taking the case of Ethiopia. The study had analyzed the practice, challenges and the future prospect of the E-Government initiative in the country. The paper had used both secondary and primary sources of data. In identifying the practice and future prospects of the E-Government imitative, related works in the area were reviewed and appraised. In ascertaining the major challenges, structured and semi-structured interviews were carried out with selected stakeholders from the government office and the private sector. The result of the study had shown that the country had registered a promising progress in E-Government index in the past four years ranking at 157th in the year 2014, which was standing at 172nd in the year 2012. Above all, high- level political commitment and the design of specific actions plans that are linked to the national sustainable development priorities were the key success factors. Nevertheless, there are still enormous challenges that have to be tackled for citizens to drive the benefits arising from the implementation of E-Government initiative. The study had identified limited cross-sectoral connectivity, lack of intra-organizational connectivity, low human resource capacity, language barrier, lack of awareness and absence of appropriate legal and regulatory framework as major challenges. Finally, the study forwarded constructive suggestion that can be adopted in the way forward of the E-Government initiative.

• 한국토양비료학회지
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• 제43권6호
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• pp.804-811
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• 2010

경사지 논토양에서 밭작물 재배확대를 위한 합리적인 배수개선 방법을 개발하기 위하여 "배수불량"인 경사지 논토양 (경사 7-15%, 지산통)을 대상으로 배수조건에 따라 "매우불량"인 논 2개 필지, "약간불량"인 논 2개 필지의 논둑아래 기저부에 1열로 명거 (겉도랑 배수), 비닐차단막, 암거 (속도랑 배수), 관다발 등 네 가지 종류의 배수시설을 설치하여 공간상의 위치에 대한 상관관계를 분석하는 지구통계적 방법 (Geostatistical methods)를 이용하여 저비용의 실용적 배수방법을 개발하기 위해 배수개선 방법에 따른 배수개선 효과를 비교 분석하여 다음과 같은 결론을 얻었다. TDR 이용하여 측정한 배수방법별 토양수분함량의 기술통계량을 분석한 결과 배수개선 방법별 평균수분함량은 명거배수 (36.17 mm), 비닐차단막 (32.87 mm), 관다발 (28.71 mm), 암거배수 (23.21 mm) 순으로 낮은 경향을 보였으며, 또한 암거배수 처리구에서의 변이계수가 13.0%로 명거배수 (23.4%), 비닐차단막 (22.2%), 관다발 (15.1%)에 비해 포장 내에서 수분함량이 균일한 것으로 나타났다. 토양수분함량의 이론적 반베리오그램을 분석한 결과 배수등급별 문턱값 (sill)은 배수가 약간불량지에 비해 매우 불량지에서 배수개선 방법별 차이가 뚜렷하였으며, 특히 배수 매우불량지의 암거배수 처리구에서 문턱값은 9.7로 명거배수 (86.2), 비닐차단막 (66.8), 관다발 (15.7)에 비해 낮아 변이가 적고 균일성이 높아 암거배수에 의한 배수개선 효과가 큰 것으로 나타났다. 따라서 "배수불량"인 경사지 논에서는 논둑 밑 1열의 암거배수시설을 설치로 논에서 밭작물의 안정적인 생산과 농지자원의 이용전환 즉 논을 밭으로 이용해야 하는 범용농지 기반조성에 조성을 위한 저비용의 실용적인 배수개선 방법개발에 기여할 것으로 본다.

• Nuclear Engineering and Technology
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• 제54권1호
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• pp.162-176
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• 2022

In Lead-based reactor (LBR) severe accident, the meltdown and migration inside the reactor core will lead to fuel fragment concentration, which may further cause re-criticality and even core disintegration. Accurately predicting the migration and solidification behavior of melt in LBR severe accidents is of prime importance for safety analysis of LBR. In this study, the Moving Particle Semi-implicit (MPS) method is validated and used to simulate the migration and solidification behavior. Two main surface tension models are validated and compared. Meanwhile, the MPS method is validated by the L-plate solidification test. Based on the improved MPS method, the migration and solidification behavior of melt in LBR severe accident was studied furthermore. In the Pb-Bi coolant, the melt flows upward due to density difference. The migration and solidification behavior are greatly affected by the surface tension and viscous resistance varying with enthalpy. The whole movement process can be divided into three stages depending on the change in velocity. The heat transfer of core melt is determined jointly by two heat transfer modes: flow heat transfer and solid conductivity. Generally, the research results indicate that the MPS method has unique advantage in studying the migration and solidification behavior in LBR severe accident.