• Proceedings of the IEEK Conference
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• 2003.07a
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• pp.585-588
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• 2003

본 연구에서는 mobile IP에서의 smooth hand off시 처리율 향상 시키기 위해 방안으로 FA들 중에 지역관리를 수행하는 GFA(Gateway Foreign Agent)를 두어 FA에서 HA로의 등록 절차로 인한 전송 시간을 줄이는 방법에 관하여 연구하였다. 본 연구 결과에 의해 핸드오프가 빈번하게 일어나는 무선 인터넷 환경에서는 지역관리용 GFA를 두는 방식이 FA에 버퍼를 설치하는 방식에 비해 전송 지연면에서 개선 효과가 있음을 확인할 수 있었다. 이와 같은 결과를 최근 활성화 되고 있는 무선인터넷에 활용하면 향 후 폭발적으로 늘어날 무선 단말기의 핸드오프에 효율적으로 대응할 수 있을 것이다.

• Journal of applied mathematics & informatics
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• v.22 no.1_2
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• pp.317-329
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• 2006

In this paper, a singularly perturbed ordinary differential equation with non-smooth data is considered. The numerical method is generated by means of a Petrov-Galerkin finite element method with the piecewise-exponential test function and the piecewise-linear trial function. At the discontinuous point of the coefficient, a special technique is used. The method is shown to be first-order accurate and singular perturbation parameter uniform convergence. Finally, numerical results are presented, which are in agreement with theoretical results.

• Journal of applied mathematics & informatics
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• v.7 no.3
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• pp.719-738
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• 2000

A dual algorithm based on the smooth function proposed by Polyak (1988) is constructed for solving nonlinear programming problems with inequality constraints. It generates a sequence of points converging locally to a Kuhn-Tucker point by solving an unconstrained minimizer of a smooth potential function with a parameter. We study the relationship between eigenvalues of the Hessian of this smooth potential function and the parameter, which is useful for analyzing the effectiveness of the dual algorithm.

• Bulletin of the Korean Mathematical Society
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• v.33 no.4
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• pp.619-629
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• 1996

In studying smooth 4-manifolds the Donaldson invariant has played a central role. In [D1] Donaldson showed that non-vanishing Donaldson invariant of a smooth closed oriented 4-manifold X gives rise to the indecomposability of X. For instance, the complex algebraic suface X cannot decompose to a connected sum $X_1 #X_2$ with both $b_2^+(X_i) > 0$.

• Journal of the Korean Institute of Intelligent Systems
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• v.19 no.3
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• pp.404-407
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• 2009

In this paper, we introduce the concept of fuzzy generalized topologies which are generalizations of smooth topologies and Chang's fuzzy topologies and obtain some basic properties of their structure. Also we introduce and study the concepts of fuzzy generalized continuity and weakly fuzzy generalized continuity.

• Proceedings of the Korean Information Science Society Conference
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• 2001.10c
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• pp.673-675
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• 2001

IMT-2000망 핵심기술은 mobile IP를 이용하는 북미의 3G packet data system과 GSM망과 연계를 하는 유럽의 GPRS로 구분할 수 있다. Mobile IP상에서는 RADIUS나 DIAMETER같은 AAA 서버가 다이얼 업 컴퓨터의 인증, 허가 서비스를 제공하기 위해 사용되고 있는데, 이것은 MN에게 매우 중요하다. Mobile IP는 MN과 HA간에 강력한 인증을 요구하기 때문이다. 본 논문에서는 이러한 IMT-2000 환경에서 고려되고 있는 Smooth Handoff 지원 방안에 관하여 논한다.

• Journal of the Korean Institute of Intelligent Systems
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• v.20 no.6
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• pp.848-851
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• 2010

In this paper, we introduce the concept of fuzzy quasi topologies which are generalizations of smooth topologies and Chang's fuzzy topologies, and obtain some basic properties of their structures.

• Journal of applied mathematics & informatics
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• v.23 no.1_2
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• pp.435-443
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• 2007

An important approach towards solving the scattered data problem is by using radial basis functions. However, for a large class of smooth basis functions such as Gaussians, the existing theories guarantee the interpolant to approximate well only for a very small class of very smooth approximate which is the so-called 'native' space. The approximands f need to be extremely smooth. Hence, the purpose of this paper is to study approximation by a scattered shifts of a radial basis functions. We provide error estimates on larger spaces, especially on the homogeneous Sobolev spaces.

• Journal of Korean Institute of Industrial Engineers
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• v.21 no.4
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• pp.571-580
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• 1995

Medial axis transformation is an important concept used in many engineering applications. We propose a new approach to medial axis transformation of 2D objects with smooth boundary. Our approach differs from the traditional ones: we construct the medial axis starting from the inside points, while the previous algorithms started from the boundary points. As a result, previous algorithms are highly sensitive to the small irregularities of the object's boundary curve, while our approach is robust.

• Journal of the Korean Mathematical Society
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• v.58 no.2
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• pp.451-471
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• 2021

First, we define phase tropical hypersurfaces in terms of a degeneration data of smooth complex algebraic hypersurfaces in (ℂ∗)n. Next, we prove that complex hyperplanes are homeomorphic to their degeneration called phase tropical hyperplanes. More generally, using Mikhalkin's decomposition into pairs-of-pants of smooth algebraic hypersurfaces, we show that a phase tropical hypersurface with smooth tropicalization is naturally a topological manifold. Moreover, we prove that a phase tropical hypersurface is naturally homeomorphic to a symplectic manifold.