• Communications of the Korean Mathematical Society
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• v.10 no.2
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• pp.325-330
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• 1995

In this paper we obtain some fixed point theorems on H-spaces by using H-KKM theorems.

• Communications of the Korean Mathematical Society
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• v.25 no.3
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• pp.491-495
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• 2010

In a paper by Hou Jicheng, On some KKM type theorems, Advaces in Mathematics 36 (2007), no. 1, 86-88, the author claimed that some previous KKM type theorems are false by giving a counterexample. In the present paper, we show that the counterexample does not work and, consequently, the results are correct. Moreover, we claim that the artificial concept like transfer compactly closed-valued maps can be destroyed. Finally, we introduce a theorem generalizing the main target of Hou.

• The Pure and Applied Mathematics
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• v.30 no.4
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• pp.397-406
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• 2023

Let R be a commutative ring with identity, X be an indeterminate over R, and R[X] be the polynomial ring over R. In this paper, we study when R[X] is a radically principal ideal ring. We also study the t-operation analog of a radically principal ideal domain, which is said to be t-compactly packed. Among them, we show that if R is an integrally closed domain, then R[X] is t-compactly packed if and only if R is t-compactly packed and every prime ideal Q of R[X] with Q ∩ R = (0) is radically principal.

• Journal of the Korean Mathematical Society
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• v.42 no.1
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• pp.65-83
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• 2005

In this paper, we prove that the two well-known natural normalizations of Hamiltonian functions on the symplectic manifold ($M,\;{\omega}$) canonically relate the action spectra of different normalized Hamiltonians on arbitrary symplectic manifolds ($M,\;{\omega}$). The natural classes of normalized Hamiltonians consist of those whose mean value is zero for the closed manifold, and those which are compactly supported in IntM for the open manifold. We also study the effect of the action spectrum under the ${\pi}_1$ of Hamiltonian diffeomorphism group. This forms a foundational basis for our study of spectral invariants of the Hamiltonian diffeomorphism in [8].

• Journal of the Korea Institute of Information and Communication Engineering
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• v.6 no.4
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• pp.645-651
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• 2002

This paper presents a method to automatically synthesized human fare images from holistic descriptions. We compactly represent the face set by a small set of prototypes, which can be used in simple ways generated controlled morphings. This becomes possible because separation of 2D-shape and texture provides a faithful, closed and convex representation of images, and smooths the mapping between images and their properties. With this approach, the user watches an images being continuously morphed according to his indications, and the synthesized images always obey the natural physiognomic constraints.

• Nuclear Engineering and Technology
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• v.4 no.3
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• pp.186-193
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• 1972

For efficient micro scale syntheses of Rose $Bengal-^{131}I$, $Hippuran-^{131}I$, and $H.S.A.-^{131}I$, the dependence of labelling yields on pH, on salt contents, and on the volume of buffer solution in the reaction mixtures as well as the reaction apparatus were studied. pH of 5.6 was optimum for preparation of both Rose $Bengal-_{131}I$ and Hippuran $-^{13}I$ but pH of 8.5 was optimum for preparation of $H.S.A.-^{131}I$. Salt in the reaction mixtures hindered drastically the formation of $Hippuran-^{131}I$ but it slightly increased the labelling yield of H.S.A.. The compactly closed reaction vessels were effective for preparations of both Rose $Bengal-^{131}I$and $Hippuran-^{131}I$ in small volume. Thereupon, the labelling procedures were modified to bring about higher labelling yields and better reproducibilities. By these newly established procedures, the labelling yields of Rose $Bengal-^{131}I$ and $Hippuran-^{131}I$ could be increased even with the home-produced sodium $iodide-^{131}I$ solution containing reducing agent.

• Cartoon and Animation Studies
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• s.27
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• pp.1-30
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• 2012

Oshii Mamoru attempts to project the perception of reality about his own modern world as it is through animation. The precedent studies on Oshii Mamoru put their focus on the point that his works have a tendency to represent the devastation of reality as the image of 'a ruin.' In addition, they gave an impression that Oshii Mamoru's animation has gradually developed to expose the 'realistic taste[beauty]' from the design perspective. However, this study is going to put its focus on the point that Mamoru's works were created as an attempt at finding the subversive possibility of the suppressed modern world under the modern capitalism in the aspect of 'everyday life' of the modern world. First, for its analytical purpose, this study intends to do that by dividing the work into the three layers such as space, body and everyday life. In Chapter II, this study, in relation with the issue of 'space' representation, analyzed the space in into the modern, mechanical, compactly capitalized space and also the space just like a closed circuit having the nature of 'repetition.' In Chapter III, this analyzed that suggests the body moving freely between a human named 'Kildren' and the inhuman from the aspect of character's body, through which Mamoru represents the capitalized, reified body of the modern world. In addition, this analyzed the extreme anxiety facing the body into the reflection of the phenomena of 'anxiety' and 'placelessness' consequent on the labor flexibility of the modern world. In Chapter IV, this study, on the basis of the analysis of layers of space & body, analyzed that the 'everyday life' of the modern world was represented in the respects of 'memory' and 'habit', and in the aspects of Mise-en-Sc$\grave{e}$ne, design and direction. In Chapter V, this rooted out the fact that Mamoru suggested the attempt at 'appropriation' based on his perception of reality about such a modern world. Such a finding includes unearthing the fact that Oshii Mamoru's work is raising a question about how to desert and appropriate the modern space. In conclusion of Chapter VI, this drew the conclusion that Oshii Mamoru's work represented the layer of 'everyday life' while dealing with the post-modern themes shown by the existing modern SF genre, provided the 'window' through which people can perceive the 'modern world radically by recommending an attempt at 'appropriation', and blazed a trail in a new realm of creation for animations.