• Proceedings of the Korean Society of Computational and Applied Mathematics Conference
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• 2003.09a
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• pp.12.2-12
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• 2003

미분 가능한 함수가 독립변수의 각 점에서 미분계수를 가지듯이 가장 일반화된 Cantor집합의 각 점에서 weak local dimension 을 갖는다. 이러한 weak local dimension 은 두 가지가 있는데 weak lower local dimension 과 weak upper local dimension 이 있다 weak lower local dimension 은 국소적인 의미로 perturbed Cantor 집합의 lower Cantor dimension 이고 Hausdorff dimension 과 관련이 있다. weak upper local dimension 은 국소적인 의미로 perturbed Cantor 집합의 upper Cantor dimension 이고 packing dimension 과 관련이 있다. 이때 각 점에 대응하는 유관한 측도는 quasi-self-similar measure 이며 그 점의 weak lower local dimension 이 s 이면 그 점의 s-차원 quasi-self-similar measure 의 lower local dimension 이 s 가 된다. 마찬가지로 그 점의 weak upper local dimension 이 s 이면 그 점의 s-차원 quasi-self-similar measure 의 upper local dimension 이 s 가 된다. 따라서 이와 같은 사실을 이용하면 가장 일반화된 Cantor집합의 각 점에서의 weak local dimension 을 이용하여 그 집합의 Hausdorff 또는 packing 차원의 정보를 얻을 수 있을 뿐 더러 weak local dimension 을 이용한 spectrum 을 또한 구할 수 있다. 한편 weak local dimension 과 유관한 quasi-self-similar measure 는 집합의 spectrum을 생성하며 이 spectrum 을 이루는 각 부분집합의 차원에 대하여 보다 좋은 정보를 주는 transformed dimension 과 또 다른 관련을 갖게 된다.

• Communications of the Korean Mathematical Society
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• v.19 no.1
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• pp.113-117
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• 2004

A deranged Cantor set (without the uniform bounded-ness condition away from zero of contraction ratios) whose weak local dimensions for all points coincide has its Hausdorff dimension of the same value of weak local dimension. We will show it using an energy theory instead of Frostman's density lemma which was used for the case of the deranged Cantor set with the uniform boundedness condition of contraction ratios. In the end, we will give an example of such a deranged Cantor set.

• Bulletin of the Korean Mathematical Society
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• v.41 no.1
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• pp.13-18
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• 2004

We defined Cantor dimensions of a perturbed Cantor set, and investigated a relation between these dimensions and Hausdorff and packing dimensions of a perturbed Cantor set. In this paper, we introduce another expressions of the Cantor dimensions. Using these, we study some informations which can be derived from power equations induced from contraction ratios of a perturbed Cantor set to give its Hausdorff or packing dimension. This application to a deranged Cantor set gives us an estimation of its Hausdorff and packing dimensions, which is a generalization of the Cantor dimension theorem.

• Journal of the Chungcheong Mathematical Society
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• v.22 no.3
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• pp.557-569
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• 2009

We present a new regularity criterion for suitable weak solutions of the steady-state Navier-Stokes equations near boundary in dimension five. We show that suitable weak solutions are regular up to the boundary if the scaled $L^{\frac{5}{2}}$-norm of the solution is small near the boundary. Our result is also valid in the interior.

• The Journal of Asian Finance, Economics and Business
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• v.8 no.1
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• pp.1063-1069
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• 2021

The purpose of this study is to explore and empirically analyze the factors affecting transparency and public accountability in local government, which have not been sufficiently researched in terms of human resource management, and good governance implementation. In particular, this study intends to examine human resource management activities focusing on the government effectiveness dimension. This study uses a qualitative approach and phenomenological method to examine the phenomenon of participant experience along with documents that are in the setting under study. Participants consisted of nine people from the Regional Government Work Unit of Tasikmalaya City, the private sector, and the community. The researcher divided data analysis into three sub-indicators, including effectiveness and efficiency, responsiveness, and public service. The Results show Regional Financial and Asset Management Agency (BPKAD) of Tasikmalaya City as sufficient in terms of human resources, this can be verified from the number of leaders and staff, which amounts to 58 people, of which 80% are economic graduates. Although the quantity is adequate, the quality of human resources in BPKAD in Tasikmalaya City is still weak. In Conclusion of this study it is inferred that the application of the government effectiveness dimension in BPKAD Tasikmalaya City is not optimal and need adequate training to improve employee performance in financial management.

• Journal of the Korean Mathematical Society
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• v.58 no.6
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• pp.1311-1325
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• 2021

One says that a ring homomorphism R → S is Ohm-Rush if extension commutes with arbitrary intersection of ideals, or equivalently if for any element f ∈ S, there is a unique smallest ideal of R whose extension to S contains f, called the content of f. For Noetherian local rings, we analyze whether the completion map is Ohm-Rush. We show that the answer is typically 'yes' in dimension one, but 'no' in higher dimension, and in any case it coincides with the content map having good algebraic properties. We then analyze the question of when the Ohm-Rush property globalizes in faithfully flat modules and algebras over a 1-dimensional Noetherian domain, culminating both in a positive result and a counterexample. Finally, we introduce a notion that we show is strictly between the Ohm-Rush property and the weak content algebra property.

• Journal of the Korean Mathematical Society
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• v.57 no.1
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• pp.131-144
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• 2020

Characterizations of almost perfect domains by certain covers and envelopes, due to Bazzoni-Salce [7] and Bazzoni [4], are generalized to almost perfect commutative rings (with zero-divisors). These rings were introduced recently by Fuchs-Salce [14], showing that the new rings share numerous properties of the domain case. In this note, it is proved that admitting strongly flat covers characterizes the almost perfect rings within the class of commutative rings (Theorem 3.7). Also, the existence of projective dimension 1 covers characterizes the same class of rings within the class of commutative rings admitting the cotorsion pair (𝒫₁, 𝒟) (Theorem 4.1). Similar characterization is proved concerning the existence of divisible envelopes for h-local rings in the same class (Theorem 5.3). In addition, Bazzoni's characterization via direct sums of weak-injective modules [4] is extended to all commutative rings (Theorem 6.4). Several ideas of the proofs known for integral domains are adapted to rings with zero-divisors.

• Proceedings of the Korean Geotechical Society Conference
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• 2006.03a
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• pp.939-948
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• 2006

The structural anisotropy and heterogeneity of rock mass, caused by discontinuities and weak zones, have a great influence on the deformation behavior of tunnel. Tunnel construction in these complex ground conditions is very difficult. No matter how excellent a geological investigation is, local uncertainties of rock mass conditions still remain. Under these uncertain circumstances, an accurate forecast of the ground conditions ahead of the advancing tunnel face is indispensable to safe and economic tunnel construction. This paper presents the effect of anisotropy and heterogeneity of the rock masses to be excavated by numerical analysis. The influences of distance from weak zone, the size or dimension, the different stiffness and the orientation of weak zones are analysedby 2-D and 3-D finite element analysis. By analysing these numerical results, the tunnel behavior due to excavation can be well understood and the prediction of rock mass condition ahead of tunnel face can be possible.

• Journal of Korean Tunnelling and Underground Space Association
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• v.8 no.2
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• pp.115-128
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• 2006

The structural anisotropy and heterogeneity of rock mass, caused by discontinuities and weak zones, have a great influence on the deformation behavior of a tunnel. A tunnel construction in these complex ground conditions is very difficult. No matter how excellent a geological investigation is, local uncertainties of rock mass conditions still remain. Under these uncertain circumstances, an accurate forecast of the ground conditions ahead of the advancing tunnel face is indispensable to a safe and economic tunnel construction. This paper presents the effect of anisotropy and heterogeneity of the rock masses to be excavated by numerical analysis. The influences of distance from weak zone, the size or dimension, the different stiffness and the orientation of weak zones are analysed by 3-D finite element analysis. By analysing these numerical results, the tunnel behavior due to excavation can be well understood and the prediction of rock mass condition ahead of the tunnel face can be possible.

• Journal of Korean Society of Rural Planning
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• v.24 no.3
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• pp.117-125
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• 2018

After it was reorganized as the rural center revitalization project recently, there is an opinion that the nature of the project was changed to solve long-time aspired projects of some districts unlike various projects according to the previous project purposes. Therefore, this study analyzes the current status of revitalization project plans and operation monitoring to make rural center villages, establishes plans that can be applied to the rural center village revitalization project and suggests the improvement plans for monitoring. With the necessity of connectivity with centrality analysis for long-term and sustainable growth of the rural center revitalization project, the analysis on the 8 districts' centrality analysis and the function of the master plan were compared and analyzed, but there is not enough interrelation. Regarding the consulting methods for weak districts to activate facility operation after the project is implemented, the field consulting performed by the collaboration of Gyeongsangnam-do government, Gyeongnam Rural Revitalization Support Center and Gyeongnam branch of Korea Rural Community Corporation shows 87.6% of satisfaction level, which indicates it is the most effective. Based on the above results, it is necessary to reinforce the methods on resident demand survey, dimension and the reflection process of the project when preliminary plans are established for effective implementation of the rural center village revitalization project. It is also necessary to revise relevant standards not to change preliminary plans excessively during the master plan establishment process, and to oblige preliminary investigation of experts. The joint monitoring and consulting systems of experts and local governments should be applied from the establishment stage of the master plan, so that it can be sustainable rural center village revitalization project.