• Journal of the Korean Statistical Society
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• v.15 no.2
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• pp.87-96
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• 1986

Sequential estimation of parameters in a compound Poisson process whose jump sizes are one-parameter exponential class random variables is discussed. Cramer-Rao type information inequality is used as an efficiency cirterion. Unbiased estimators for certain parametric functions whose variance attain the lower bound are all characterized with the corresponding sampling plans.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2007.11a
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• pp.53-56
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• 2007

Symmerge is a stable minimum storage algorithm for merging that needs $O(mlog\frac{n}{m})$ element comparisons, where m and n are the sizes of the input sequences with m ${\leqq}$ n. According to the lower bound for merging, the algorithm is asymptotically optimal regarding the number of comparisons. The objective of this paper is to consider the relationship between m and n for the spanning case with the recursion level m-1.

• Korean Journal of Mathematics
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• v.6 no.2
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• pp.165-172
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• 1998

For a G-map ${\phi}:X{\rightarrow}X$, we define and characterize the Reidemeister number $R_G({\phi})$ of ${\phi}$. Also, we prove that $R_G({\phi})$ is a G-homotopy invariance and we obtain a lower bound of $R_G({\phi})$.

• East Asian mathematical journal
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• v.30 no.1
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• pp.79-91
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• 2014

We consider the parabolic evolution differential equation such as heat equation and porus-medium equation on a Riemannian manifold M whose Ricci curvature is bounded below by $-(n-1)k^2$ and bounded below by 0 on some amount of M. We derive some bounds of differential quantities for a positive solution and some inequalities which resemble Harnack inequalities.

• Proceedings of the Korea Concrete Institute Conference
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• 1998.10a
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• pp.430-437
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• 1998

The existing design expressions for shear strength of reinforced concrete columns are lacking in consistent seismic design philosophy and very conservative. However, relatively not so many experiments have been conducted to verify the shear resisting mechanisms of columns. The previous researches concentrated on deriving an experimental model from their test results. So, there is a need to approach this problem from the analytical point of view to be balanced with the experimental effort. This paper presents a method of modeling reinforced concrete columns under seismic shear loading. Lower bound solutions are obtained by using an analogous truss model and concrete arch actions. This model agrees with the precedented test results by some margins.

• Transactions of the Korean Society of Mechanical Engineers
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• v.6 no.2
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• pp.169-175
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• 1982

원주체의 전단스피닝 가공에서 가공물의 반경과 두께 방향의 상대 위치가 변화하지 않는다는 조건 아래서 흐름 함수에 의하여 속도장을 구하고, 접촉계수에 대하여 변형에너지의 국소치를 구함으로써 상당히 낮은 상계치를 얻었으며, 이를 A1-1100-1, A1-1100-H14, A1-6061-0 등 여러 가지 재료에 대한 실험치와 비교한 결과, 정량적으로 일치하였다.

• The Pure and Applied Mathematics
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• v.23 no.1
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• pp.61-72
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• 2016

In this paper, a boundary version of the Schwarz lemma for the holom- rophic function satisfying f(a) = b, |a| < 1, b ∈ ℂ and ℜf(z) > α, 0 ≤ α < |b| for |z| < 1 is invetigated. Also, we estimate a modulus of the angular derivative of f(z) function at the boundary point c with ℜf(c) = a. The sharpness of these inequalities is also proved.

• Journal of the Korean Mathematical Society
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• v.42 no.6
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• pp.1169-1186
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• 2005

We study the properties of the transversal Killing and twistor spinors for a Riemannian foliation with a transverse spin structure. And we investigate the relations between them. As an application, we give a new lower bound for the eigenvalues of the basic Dirac operator by using the transversal twistor operator.

• Journal of the Korean Society of Safety
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• v.7 no.4
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• pp.115-128
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• 1992

The main purpose of this study was to determine whether the inelastic moment-rotation character-istics defined by the lower-bound curve permit economical ALFD for noncompact plate gilders. The study was also intended to determine the benefits of improving the moment-rotation to illustrate the ar plication of the ALFD to noncompact plate girders and to show the Influence of various parameters on the design process. To accomplish these objectives, 34 preliminary designs were made by ALFD or LFD or WSD. In the study, this method of analysis is described first. Next, the design procedures are described. Finally, the resulting designs are presented and discussed.

• Bulletin of the Korean Mathematical Society
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• v.42 no.1
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• pp.39-44
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• 2005

Let M be a compact hypersurface in hyperbolic space and let A be the area of M and V be the volume of the compact domain bounded by M. In this paper, we find a lower bound for $\frac{A}{V}$ in two cases, M has constant scalar curvature and M has constant mean curvature.