• Journal of the Korean Mathematical Society
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• v.41 no.6
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• pp.995-1005
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• 2004

The aim of this paper is to prove the stability in the sense of Hyers-Ulam- Rassias of the Banach space valued differentialequation y' = λy, where λ is a complex constant. That is, suppose f is a Banach space valued strongly differentiable function on an open interval. If f is an approximate solution of the equation y' = λy, then there exists an exact solution of the equation near to f.

• Journal of the Korean Statistical Society
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• v.28 no.1
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• pp.93-106
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• 1999

In this paper we consider estimation of a real valued parameter in the drift coefficient of a Hilbert space valued Ito stochastic differential equation. First we consider observation of the corresponding diffusion in a fixed time interval [0, T] and prove the Bernstein - von Mises theorem concerning the convergence of posterior distribution of the parameter given the observation, suitably normalised and centered at the MLE, to the normal distribution as Tlongrightarrow$\infty$. As a consequence, the Bayes estimator of the drift parameter becomes asymptotically efficient and asymptotically equivalent to the MLE as Tlongrightarrow$\infty$. Next, we consider observation in a random time interval where the random time is determined by a predetermined level of precision. We show that the sequential MLE is better than the ordinary MLE in the sense that the former is unbiased, uniformly normally distributed and efficient but is latter is not so.

• Korean Institute of Interior Design Journal
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• v.15 no.2 s.55
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• pp.56-64
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• 2006

From ancient times to today the formation of centrality in architecture has taken very important role as an organizing device. However after 19th century modem architecture focused on the universal aspect and homogeneity of space, and developed its own vocabulary through de-centralization. Since 1960's the reflections on de-humanized space of modem space have been evloved. As those movement has been understood seriously, the centrality can be changed to phenomenological one. And The phenomenological centrality maintains organic balance with its surroundings not trying to form a hierarchic system. So it shows human-oriented tendency and facilitates experiential movements of human body. And it also gives a sense of being. The phenomenological centrality is comprised of center, boundary, and two types of axis. The characteristics of phenomenological centrality can be analyzed as practical and meaningful center, visible boundary, experiential movement, and unexpectable encounters with spaces and nature.

• Proceedings of the Korean Institute of Interior Design Conference
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• 2005.05a
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• pp.273-274
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• 2005

The purpose of this design is to find out the design for an ophthalmic hospital focusing on the patient needs and changed healthcare environment. A cellularized hospital system appears variety design. This space needs well-balanced and ease of mind, because of ophthalmic needs a clear description attention. The concept of this design is to give human colour intellect and rich colour-sense. The waiting area wall is finished the graphic design sheet of leaves, which is covered with the fluting glass and indirect lighting. The colour is extracted in nature. The colour techniques of graphic design is gradation, the colour plan select from Y to G-GB. The material is selected within natural colour. The treatment area is functional space and the waiting area is sensitivity space. The hospital design must change with user as a leader.

• Korean Institute of Interior Design Journal
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• v.21 no.3
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• pp.87-94
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• 2012

This thesis has purpose of explaining that blur color is not only appreciated but also undecided spacial color in contemporary space design and examining effects of space experience through the light. In keeping such developments, blur color has been perceived as the object of another tool in contemporary space and has provided us with new views by providing various program, sensor and screen from digital media. With the expansion of blur color, light has changed a spacial color structural that is not simple meaning factor into the essential concept. So this research aims to understand the principle of blur color in Olafur Eliasson's work, which of the fine artist in diverse fields from installation art to media art. The principle of blur color such as deconstruction of vanishing point, dimensional transfer, color gradation, and fiction of visual perception makes it possible to extract the expressed element and method of blur color. Meanwhile, the features of blur color such as sense of depth from viewpoint changes, hybrid from collapse of order, media metamorphosis from reconstitution and interaction from uncanny can be inferred from case analysis.

• Journal of the Korean Mathematical Society
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• v.42 no.3
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• pp.405-434
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• 2005

We establish appropriate $L^p$ estimates for a class of maximal operators $S_{\Omega}^{(\gamma)}$ on the product space $R^n\;\times\;R^m\;when\;\Omega$ lacks regularity and $1\;\le\;\gamma\;\le\;2.\;Also,\;when\;\gamma\;=\;2$, we prove the $L^p\;(2\;{\le}\;P\;<\;\infty)\;boundedness\;of\;S_{\Omega}^{(\gamma)}\;whenever\;\Omega$ is a function in a certain block space $B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ (for some q > 1). Moreover, we show that the condition $\Omega\;{\in}\;B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ is nearly optimal in the sense that the operator $S_{\Omega}^{(2)}$ may fail to be bounded on $L^2$ if the condition $\Omega\;{\in}\;B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ is replaced by the weaker conditions $\Omega\;{\in}\;B_q^{(0,\varepsilon)}(S^{n-1}\;\times\;S^{m-1})\;for\;any\;-1\;<\;\varepsilon\;<\;0.$

• Journal of the Korean Institute of Landscape Architecture
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• v.23 no.2
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• pp.44-62
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• 1995

This study investigated the landscape space of Chosun Dynasty pavilions in the Sang-ju Region. Five renowned pavilions were selected for study by Phenomenological and IDRISI (4.1) S/W. The results were as follows ; Pavilions were erected for studying cultivating moral sense admiring the view relieving illness and commemorat memoring people. A total of 248 pavilions were erected in the Sang-ju Region between 1392 and 1895 AD, most of them duing he golden age from 15001670 AD. Pavilions and open space were composed in harmony with nature borrowing natural landscape features. Landscape characteristics were analysised with IDRISI(4.1) S/W; pavilions were ma711y located at the bottom of a mountain with stream The Inner garden was formed by a fence and Lagerstroemia indica or a few trees. The Outer garden was formed by mixed stands of Pinus dentsiflora, Zelkowa serreta, Acer formosum and well conserved natural vegetation.

• International Journal of Advanced Culture Technology
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• v.9 no.3
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• pp.232-237
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• 2021

Pre-Corona cultural content was largely formed face to face. For example, the service was great while visiting tourist attractions, visiting performances to see K-Pop, or visiting lectures to learn K-Beauty. However, after the coronation, the virtual world-centered Metaverse began to take the spotlight as non-face-to-face services changed. IT and cultural contents have been combined and developed into various digital services. In that sense, Metaverse, which breaks the boundaries between real-world space and virtual space, has the potential to escape from physical time and space constraints. However, Korea still lacks a Metaverse platform for cultural content. In particular, it is necessary to match each other's necessary services by providing Metaverse -oriented cultural contents that users want, including experienced cultural contents such as K-pop and K-beauty, away from cultural contents that are developed around history museums. Therefore, in this paper, we would like to propose a Metaverse-based cultural content matching platform where users can experience cultural content directly or indirectly.

• Journal of the Korean Mathematical Society
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• v.59 no.5
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• pp.927-944
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• 2022

Let $\vec{p}{\in}(0,\;1]^n$ be an n-dimensional vector and A a dilation. Let $H^{\vec{p}}_A(\mathbb{R}^n)$ denote the anisotropic mixed-norm Hardy space defined via the radial maximal function. Using the known atomic characterization of $H^{\vec{p}}_A(\mathbb{R}^n)$ and establishing a uniform estimate for corresponding atoms, the authors prove that the Fourier transform of $f{\in}H^{\vec{p}}_A(\mathbb{R}^n)$ coincides with a continuous function F on ℝⁿ in the sense of tempered distributions. Moreover, the function F can be controlled pointwisely by the product of the Hardy space norm of f and a step function with respect to the transpose matrix of A. As applications, the authors obtain a higher order of convergence for the function F at the origin, and an analogue of Hardy-Littlewood inequalities in the present setting of $H^{\vec{p}}_A(\mathbb{R}^n)$.

• The Bulletin of The Korean Astronomical Society
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• v.44 no.2
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• pp.47.3-47.3
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• 2019

In this talk, we present numerical simulations of driven hydrodynamic and magnetohydrodynamic (MHD) turbulence with weak/strong imposed magnetic fields. We mainly focus on turbulence driven compressively (∇ × f = 0). Our main goal is to examine how magnetic fields play a role in generating solenoidal modes in compressive turbulence. From our simulation analysis, we find that solenoidal energy densities in hydrodynamic and weak magnetic field cases are generated up to ~ 30% of total ones. On the other hand, in the case of strong magnetic fields, solenoidal energy densities are excited up to ~ 70%. To interpret the results, we further analyze vorticity (w = ∇ × u) equation and find that magnetic fields directly create solenoidal motions, and magnetic tension is most effective in this sense. In hydrodynamic simulations, however, we find that viscous dissipation provides vorticity seeds at the very early stage and they are amplified via stretching process. Lastly, in weak magnetic fields cases, we find that solenoidal motions are created by the effects of magnetic fields, viscosity, and stretching in conjunction.