• Bulletin of the Korean Mathematical Society
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• v.29 no.1
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• pp.81-87
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• 1992

Wellknown invariance of domain theorems are Brower's invariance of domain theorem for continuous mappings defined on a finite dimensional space and Schauder-Leray's invariance of domain theorem for the class of mappings I+C defined on a infinite dimensional Banach space with I the identity and C compact. The two classical invariance of domain theorems were proved by applying the homotopy invariance of Brower's degree and Leray-Schauder's degree respectively. Degree theory for some class of mappings is a useful tool for mapping theorems. And mapping theorems (or surjectivity theorems of mappings) are closely related with invariance of domain theorems for mappings. In[4, 5], Browder and Petryshyn constructed a multi-valued degree theory for A-proper mappings. From this degree Petryshyn [9] obtained some invariance of domain theorems for locally A-proper mappings. Recently Browder [6] has developed a degree theory for demicontinuous mapings of type ( $S_{+}$) from a reflexive Banach space X to its dual $X^{*}$. By applying this degree we obtain some invariance of domain theorems for demicontinuous mappings of type ( $S_{+}$). ( $S_{+}$).

• Korean Journal of Logic
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• v.9 no.1
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• pp.1-29
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• 2006

This paper investigates algebraic semantics for sKD and its extensions $sKD_\triangle$, $sKD\forall$, and $sKD\forall{_\triangle}$: sKD is a variant of the infinite -valued Kleene- Diense logic KD; $sKD_\triangle$ is the sKD with the Baaz's projection A; and $sKD\forall$ and $sKD\forall{_\triangle}$: are the first order extensions of sKD and $sKD_\triangle$, respectively. I first provide algebraic completeness for each of sKD and $sKD_\triangle$. Next I show that each $sKD\forall$ and $sKD\forall{_\triangle}$: is algebraically complete.

• Journal of KIISE:Software and Applications
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• v.28 no.11
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• pp.833-841
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• 2001

Abstract In this work, we analyze the Levy mutation operations based on the Levy probability distribution in the evolutionary programming via the mean square displacement and the distinctness. The Levy probability distribution is characterized by an infinite second moment and has been widely studied in conjunction with the fractals. The Levy mutation operators not only generate small varied offspring, but are more likely to generate large varied offspring than the conventional mutation operators. Based on this fact, we prove mathematically, via the mean square displacement and the distinctness, that the Levy mutation operations can explore and exploit a search space more effectively. As a result, one can get better performance with the Levy mutation than the conventional Gaussian mutation for the multi-valued functional optimization problems.

• Journal of KIISE:Software and Applications
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• v.37 no.8
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• pp.591-598
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• 2010

In this study, we propose a new method for generating candidate solutions based on the Cauchy probability distribution in order to complement the shortcoming of the solutions generated by the normal distribution. The Cauchy probability distribution has infinite mean and variance, and it has rather large probability in the tail region relative to the normal distribution. Thus, the Cauchy distribution can yield higher probabilities of generating candidate solutions of large-varied variables, which in turn has an advantage of searching wider area of variable space. In order to compare and analyze the performance of the proposed method against the conventional method, we carried out an experiment using benchmarking problems of real valued function. From the result of the experiment, we found that the proposed method based on the Cauchy distribution outperformed the conventional one for all benchmarking problems, and verified its superiority by the statistical hypothesis test.

• Journal of Fashion Business
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• v.22 no.2
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• pp.88-106
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• 2018

The domestic fashion industry is not able to exceed the level of fashion that exists in advanced countries due to the relatively weak design competitiveness and the differentiated capability of product development. In order for the domestic fashion industry to become a growth industry that is valued in the world market of infinite competition, a step-by-step support system that can demonstrate and maintain the creative ability of designers is needed. Therefore, this study proposes a template - based 3D virtual fashion technology and a digital fashion platform based on it. The proposed template - based 3D virtual fashion technology is designed to clearly communicate the intention of designers and to be able to instantaneously view the results, thereby reducing the time and cost of producing prototypes. In addition, the digital fashion platform based on the template is designed as a collaborative platform based on idea sharing, which dramatically improves the process of confirming the prototype and initiating the product planning and manufacturing stages. This new technology can contributes to the formation of a business environment and a new area within the existing fashion industry and can be utilized for the development of the fashion industry in the future.

• Cartoon and Animation Studies
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• s.41
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• pp.1-29
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• 2015

This paper aims at studying how to express and be used the characteristics of New age consciousness in the popular culture. New age consciousness is used interchangeably with new age movement. The philosophy of new age is based on humanism, which the infinite potential power of human can change the human himself and the earth forward to be shown the new age of peace, hope and love in an instant. This consciousness is based on the Western secret art and Eastern consciousness against the Christianity and has begun to develop in the alternative religion influenced by Postmodernism and Counterculture movement on 1970's which is against the corruption of American society on 1960's. However, new age consciousness has tried to change to a social movement for the culture, the peace, the happiness of mankind and the healing society rather than a religion idea because of the limitation of the theory itself. Nevertheless, the new age culture contains the characteristics of the religion, and the characteristics has been easily borrowed to the mess media and infiltrated to us. In a broad sense, the religion includes both own religion beliefs and behavior and the social movements and tendencies about the established religion which pursues the holy and the highest value. The religion is valued as a complex culture phenomenon, which the religion presents the right direction and the meaning of life as well as contributes to the maintenance of social order and the social unification. For this reason, the religion and the culture have a deep relationship between mess media and needs to be captured and listen to religious longing lurking deep within the human consciousness in order to give the audience impressed and fun. In the study, the characteristics of New age such as reincarnation, illusion, meditation, monism and pantheism is analyzed for what affects students studying mess media and the popular culture. And then the study is analyzed the characteristics of new age consciousness in the animation through 'Avatar'. This study shed new light on the influence of religion which is ideological identity of popular culture, and I expect to be a little help to have the insight to examine the mess media with a various angles.