• Journal of applied mathematics & informatics
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• v.10 no.1_2
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• pp.309-323
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• 2002

This paper studies the parameter estimation problem for a steady state flow in an inhomogeneous medium. Our approximation scheme could be used when the diffusion coefficient is singular. The function space parameter estimation convergence(FSPEC) is considered and numerical simulations are performed.

• Proceedings of the KSME Conference
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• 2005.11a
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• pp.217.1-217.1
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• 2005

• Journal of the Korean Society of Safety
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• v.10 no.1
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• pp.35-40
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• 1995

This study dealed with problem to estimate the uniformity of dust clouds, as a fundamental study to estimate the ignition hazardous evaluation of hybrid mixtures. The developed method was proposed to grasp space distribution of dusts, and also, an experimental apparatus considering with dispersion and reproduction of dusts were uniquely devised and studied.

• Korean Journal of Mathematics
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• v.5 no.2
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• pp.169-176
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• 1997

The purpose of this note is to compare two known results related to the lifting problem of an action of a topological group G on a G-space X to a coverring space of X.

• East Asian mathematical journal
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• v.19 no.2
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• pp.173-187
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• 2003

We study decay estimates of the energy for the nonlinear wave equation in the whole space. We note that the method of proof is based on the multiplier technique and on the unique continuation, and no geometrical condition is imposed on the boundary.

• East Asian mathematical journal
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• v.37 no.5
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• pp.591-598
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• 2021

In this paper we study the Cauchy problem for the Chern-Simons gauged O(3) sigma model. We prove the local existence of solutions with low regularity initial data, observing null forms of the system and applying bilinear estimates for wave-Sobolev space H^{s, b}.

• Journal of applied mathematics & informatics
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• v.40 no.5_6
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• pp.949-958
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• 2022

The aim of this papaer is to prove the discrete compactness property for modified Raviart-Thomas element(MRT) of lowest order on quadrilateral meshes. Then MRT space can be used for eigenvalue problems, and is more efficient than the lowest order ABF space since it has less degrees of freedom.

• Honam Mathematical Journal
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• v.44 no.4
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• pp.618-627
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• 2022

On the setting of the orthogonal complement of the weighted Bergman space, we study the problem of when a finite sum of dual Toeplitz products is compact or zero. Our results extend several known results on the unweighted space to the weighted spaces.

• Journal of the Institute of Electronics Engineers of Korea CI
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• v.44 no.3
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• pp.98-107
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• 2007

For high-dimensional pattern recognition, such as face classification, the small number of training samples leads to the Small Sample Size problem when the number of pattern samples is smaller than the number of dimensionality. Recently, various LDA-extensions have been developed, including LDA, PCA+LDA, and Direct-LDA, to address the problem. This paper proposes a method of improving the classification efficiency by increasing the number of (sub)-classes through pre-clustering a training set prior to the execution of Direct-LDA. In LDA (or Direct-LDA), since the number of classes of the training set puts a limit to the dimensionality to be reduced, it is increased to the number of sub-classes that is obtained through clustering so that the classification performance of LDA-extensions can be improved. In other words, the eigen space of the training set consists of the range space and the null space, and the dimensionality of the range space increases as the number of classes increases. Therefore, when constructing the transformation matrix, through minimizing the null space, the loss of discriminatve information resulted from this space can be minimized. Experimental results for the artificial data of X-OR samples as well as the bench mark face databases of AT&T and Yale demonstrate that the classification efficiency of the proposed method could be improved.

• Korean Institute of Interior Design Journal
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• v.22 no.3
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• pp.43-51
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• 2013

The purpose of this study is analysing the characteristics of interior space aiming for the exterior space in mixed-used development. The range of this study is limited as passage, department store, shoppingmall and Mixed Use Development. The method of this study is as follows. First, analysing the 7 samples of the interior space aiming for the exterior space in MXD through the framework of public character categorized as 5 factors, accessibility, openness, comfort properties, connectivity, convenience in use. Second, drawing a conclusion from the precedent step. The result of this study is as follows. First, the interior space has become bigger with time. And the public character is expanded with having the same structure of the city space. Second, the interior space solves the problem of the exterior space of city but prefers the same factors with the exterior space. Third, the street in the interior space has the characteristics of openness and comfort properties through diversification. And the open space is planned in various parts of the MXD and has the character of accessibility and connectivity.