• East Asian mathematical journal
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• v.36 no.5
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• pp.593-604
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• 2020

Let the circle act on a compact oriented manifold with a discrete fixed point set. At each fixed point, there are positive integers called weights, which describe the local action of S¹ near the fixed point. In this paper, we provide the author's original proof that only uses the Atiyah-Singer index formula for the classification of the weights at the fixed points if the dimension of the manifold is 4 and there are at most 4 fixed points, which made the author possible to give a classification for any finite number of fixed points.

• Journal of the Korean Mathematical Society
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• v.40 no.3
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• pp.517-561
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• 2003

We establish a link between the study of completely integrable systems of partial differential equations and the study of generic submanifolds in $\mathbb{C}$. Using the recent developments of Cauchy-Riemann geometry we provide the set of symmetries of such a system with a Lie group structure. Finally we determine the precise upper bound of the dimension of this Lie group for some specific systems of partial differential equations.

• Journal of the Korean Mathematical Society
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• v.42 no.3
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• pp.471-484
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• 2005

We study Riemannian or pseudo-Riemannian manifolds which carry the space of closed conformal vector fields of at least 2-dimension. Subject to the condition that at each point the set of closed conformal vector fields spans a non-degenerate subspace of the tangent space at the point, we prove a global and a local classification theorems for such manifolds.

• Journal of Korean Society of Industrial and Systems Engineering
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• v.22 no.53
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• pp.37-44
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• 1999

The problem to be studied here is the minimization of the total travel distance and the number of vehicles used for delivering goods to customers. Vehicle routes must also satisfy a variety of constraints such as fixed vehicle capacity, allowed operating time. Genetic algorithm to solve the VRPTW with heterogeneous fleet is presented. The chromosome of the proposed GA in this study has the 3-dimension. We propose GA that has the cubic-chromosome for VRPTW with heterogeneous fleet. The newly suggested ‘Cubic-GA (or 3-D GA)’ in this paper means the 2-D GA with GLS(Genetic Local Search) algorithms and is quite flexible. To evaluate the performance of the algorithm, we apply it to the Solomon's VRPTW instances. It produces a set of good routes and the reasonable number of vehicles.

• Journal of the Korean Institute of Educational Facilities
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• v.19 no.2
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• pp.59-66
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• 2012

Community design education has covered the worldview dimension of the collaborative courses for sustainability draws on the architectural expertise developed in a network of community projects and therefore case studies of design education by the collaborative project-based learning in terms of participants, students, teachers and architects, such as 'Learning By Design' for the K-12 comprehensive program in Massachusetts addresses how a local society can make its community sustainable by both design and education. To understand that community design and education can provide professional development in all levels of skills and knowledge across disciplines and opportunities for collaborative learning and problem-solving, this research consists of case studies of the community design education including social systems that assist in organizing the local educational program as well as promoting the programs with public awareness of the community. It covers the UNESCO-UIA agenda of the community design and education that is to enhance the physical environment relating to human interaction by developing innovative alternatives of existing community and contributing voluntarily to neighborhoods through design. As the community design collaborative of design professionals and users is a structural approach to assess design quality, the cases address how to set up the architectural program in order to share pro bono design service and provide high-quality design resources available for sustainable environment.

• 제어로봇시스템학회:학술대회논문집
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• 2004.08a
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• pp.2017-2022
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• 2004

Data association is a process that matches a recent observation with known data set, which is used for the localization of mobile robots. Edges in topological maps have rich information which can be used for the data association. However, no systematic approach on using the edge data for data association has been reported. This paper proposes a systematic way of utilizing the edge data for data association. First, we explain a Local Generalized Voronoi Angle(LGA) to represent the edge data in 1-dimension. Second, we suggest a key factor extraction procedure from the LGA to reduce the number by $2^7-2^8$ times, for computational efficiency using the wavelet transformation. Finally we propose a way of data association using the key factors of the LGA. Simulations show that the proposed data association algorithm yields higher probability for similar edges in computationally efficient manner.

• Proceedings of the KOSOMBE Conference
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• v.1995 no.05
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• pp.82-86
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• 1995

Using electrocardiography is a common method to diagnose heart disease, Modeling and simulation of activation process for the heart system is useful to understand electrocardiography. This paper proposes a two-dimensional cellular automata model for the activation process of the ventricles. The model represents the geometry of the ventricles by the ellipsoidal shape in two dimension. In the model, ventricles are divided into four layers, each of which has a set of cells with preassigned properties. The proposed model takes Into account the local orientation of the myocardial fibers and their distributed velocity, and refractory period. Simulation experiment is performed to measure activation potential for each cell in each layer within the ventricles.

• Communications of the Korean Mathematical Society
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• v.38 no.1
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• pp.11-19
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• 2023

Let 𝓗₀ be the set of rings R such that Nil(R) = Z(R) is a divided prime ideal of R. The concept of maximal non φ-chained subrings is a generalization of maximal non valuation subrings from domains to rings in 𝓗₀. This generalization was introduced in [20] where the authors proved that if R ∈ 𝓗₀ is an integrally closed ring with finite Krull dimension, then R is a maximal non φ-chained subring of T(R) if and only if R is not local and |[R, T(R)]| = dim(R) + 3. This motivates us to investigate the other natural numbers n for which R is a maximal non φ-chained subring of some overring S. The existence of such an overring S of R is shown for 3 ≤ n ≤ 6, and no such overring exists for n = 7.

• Journal of Information Processing Systems
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• v.19 no.4
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• pp.554-562
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• 2023

This research offers a sports video action recognition approach based on the fish swarm algorithm in light of the low accuracy of existing sports video action recognition methods. A modified fish swarm algorithm is proposed to construct invariant features and decrease the dimension of features. Based on this algorithm, local features and global features can be classified. The experimental findings on the typical sports action data set demonstrate that the key details of sports action can be successfully retained by the dimensionality-reduced fusion invariant characteristics. According to this research, the average recognition time of the proposed method for walking, running, squatting, sitting, and bending is less than 326 seconds, and the average recognition rate is higher than 94%. This proves that this method can significantly improve the performance and efficiency of online sports video motion recognition.

• Journal of Industrial Technology
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• v.21 no.B
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• pp.287-294
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• 2001

This study is aimed to evaluate the springback characteristics of automotive steel sheets through the S-rail forming test and to find the process condition under which springback can be reduced. Die set for the S-rail test has been made according to the dimension of the NUMISHEET '96 benchmark model. Experiment and finite element analysis have been performed on two kinds of automotive steel sheets: mild steel, SPCEN and high strength steel, SPRC. The test results show that the amount of springback is larger on the high strength steel SPRC than on the mild steel SPCEN, and decreases with increasing blank holding force as the case of material flow. And the reduction of friction has the effect of lowering the blank holding force in view of punch force and material flow. It is shown that the strain distribution over the whole specimen and along the specified sections calculated from the finite element analysis coincides with the measured data except local differences.