• 대한수학회지
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• 제48권5호
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• pp.887-898
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• 2011

In this paper, we first discuss the convergence of the continued fractions of generalized Rogers-Ramanujan type in the modified sense. Then we prove several equalities concerning these continued fractions. The proofs of our main results are mainly based on the Bauer-Muir transformation.

• 대한수학회지
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• 제35권3호
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• pp.765-782
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• 1998

The purpose of this paper is to give convergence theorems both for closed convex set valued and relative fuzzy valued martingales, and sub- and super- martingales. These kinds of martingales, sub- and super-martingales are the extension of classical real valued martingales, sub- and super-martingales. Here we compare two kinds of convergences, in the Hausdorff metric and in the Kuratowski-Mosco sense. We also introduce a new convergence for the fuzzy valued case in the graph sense and obtain convergence theorems.

• 대한수학회보
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• 제47권4호
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• pp.825-837
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• 2010

In this paper, we obtain a Korovkin type approximation theorem for double sequences of positive linear operators of two variables from $H_w$ (K) to C (K) via A-statistical convergence. Also, we construct an example such that our new approximation result works but its classical case does not work. Furthermore, we study the rates of A-statistical convergence by means of the modulus of continuity.

• 문화기술의 융합
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• 제4권4호
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• pp.161-166
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• 2018

소전(素筌) 손재형(孫在馨)(1903~1981)은 한글 고체(古體)의 조형성과 필획의 장점에 주목하여 천재적 현대적 조형감각과 기발한 착상으로 전예서(篆隸書)에 접목하였다. 그리하여 천진난만(天眞爛漫)하고 해학적(諧謔的)인 독특한 서체로 승화시켜 동국진체를 계승 발전시켰다. 소전(素筌) 한글체는 점 획의 방향 전환, 획의 굵기와 길이 변화에 유의하여 각 점 획을 과장하여 표현하였지만, 장법과 구성에 무리가 없는 가운데 조화와 변화를 성취한 대교미(大巧美)를 발현하였다. 소전(素筌)의 공로는 한글서예 발전과 기틀의 전범(典範)이 되었을 뿐만 아니라, 현대서예에 새로운 공간 영역을 창출하였다는데 그 의미가 심대하다.

• Journal of the Korean Statistical Society
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• 제35권2호
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• pp.115-142
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• 2006

This paper studies the problem of option hedging when the underlying asset price process is a compound Poisson process. By adopting an asymptotic approach to let the security price converge to a continuous process, we find a closed-form hedging strategy that improves the classical Black-Scholes hedging strategy in a quadratic sense. We first show that the scaled Black-scholes hedging error has a limit in law, and that limit is decomposed into a part that can be traded away and a part that is purely unreplicable. The Black-Scholes hedging strategy is then modified by adding the replicable part of its hedging error and by adding the mean-variance hedging strategy to the nonreplicable part. Some results of simulation experiment s are also provided.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1989년도 한국자동제어학술회의논문집; Seoul, Korea; 27-28 Oct. 1989
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• pp.331-336
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• 1989

Under the condition of stable inverse a billinear model predictive control method for SISO and MIMO system with time delay is derived. For processes subject to a bounded disturbance the proposed control method with a classical recursive adaptation algorithm was shown to be stable in the sense of the convergence of parameter estimates and the boundedness of the control error. Several simulation results demonstrate the characteristics of the proposed bilinear model predictive control method.

• 한국의상디자인학회지
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• 제19권3호
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• pp.17-32
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• 2017

Modern society has been transformed into a digital emotional society that could gradually be seen, felt, and enjoyed by the diversification of personal consumption desires due to digital development. Accordingly, in fashion, an original fashion sense that arose out of classical and conventional thinking has become important and there is an increasing interest in patchwork quilts. The purpose of this study lies in contributing to the development and utilization of creative and emotional fashion design by expanding the mental changes that have emerged in modern society to creative areas after analyzing the classification and expression characteristics of the type cases of patchwork quilt techniques expressed in modern fashion. In addition, it is meaningful to examine how the expressive characteristics of patchwork quilts are expressed in the digital emotion era. This study paralleled literature research and empirical case studies. In the scope and method of research, the theatrical research was centered on literature data. For visual data, website photos were collected, limited to women's clothing among the collections from Fall & Winter 2014 to Spring & Summer 2017. After drawing the expression types of patchwork quilts extracted from the previous research based on the design formative factors, the fashion-related expert group analyzed the expressive characteristics of 501 photographs in which the patchwork quilt of the designer clothing collection were reflected. As a result of analysis, the expressive types appeared in the order of diversification of techniques and materials, extended dual images, new formative composition, and reconstruction of traditional patchwork. In this study, the expressive characteristics of patchwork quilts expressed in contemporary fashion are analyzed and drawn as variability, compromise, convergence, and playfulness. Through this, it is hoped that this study can be used variously in the development of fashion design by expanding the interpretation of costume culture.

• 대순사상논총
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• 제25_2집
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• pp.177-213
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• 2015

We live in two giant pendulum in called 'science' and 'religion'. But science and religion are contained in disparate information with each other, Those two is not easy to achieve convergence. But if you accept the ontological scheme of Great Chain of Being(存在의 大連鎖) in the Perennial philosophy(永遠의 哲學), Debate between religion and science is meaningless 'Great Nest of Being(存在의 대둥지, Great Chain of Being)' is similar to the multiple concentric circles, there are different dimension that the each top level to subsume surrounding the lower level. For example, upper zone 'Mysticism(神秘主義)' includes but transcends(or transcends but includes.) the sub-region theology, psychology, biology and physics. The Perennial philosophy is the great spiritual teachers of the world, philosophers and thinkers have adopted a common worldview, a religious views. Philosophers of the perennial philosophy seem to match the cross-cultural almost unanimous about the general level of the 'Great Nest of Being' for the past 3,000 years. The perennial philosophy made the conclusion that God exists in the world. Several types of view of God existing religions in the world have 'Monotheism(一神論)', 'Pantheism(汎神論)' and 'Panentheism (汎在神論)'. Although traditionally the God of the philosophers is the classical Theism, theological trends of today it is moving in the direction of Panentheism. Panentheism see that god is immanent and transcendent. also Daesoon Thoughts is the position of the Panentheism. so this paper points out the fact that the view of God of the perennial philosophy is precisely consistent with the view of God of Daesoon Thoughts. Wilber says 'envelopment [transcend and include]'. The word translates as 'powol(包越)' in Korean. 'Powol(包越)' means that all the developmental evolution is to surround the sub-region developed into the higher realms. View of the God in the perennial philosophy is 'powol theism(包越的 有神論)'. but 'powol immanent God(包越的 內在神論)' rather than building regulations as 'powol theism(包越的 有神論)'. It would have to be a more accurate representation of it. Because in the existing 'theism(有神論)' the god and humans are thought to exist apart. However, Daesoon Thoughts are deemed to also recognize another universal laws. also Sangje(上帝, the Supreme God) is recognized as a cosmic existence that transcends the laws. This point, as the characteristics of the Daesoon Thoughts, In other religions can not be found. Therefore, More specifically represent(More accurately represent), Sangje of the Daesoon Thoughts can be described as 'powol theism' or 'transcendental and included deism(包越的 理神論)'. Importantly, The idea of God can be captured directly by the discipline. In this sense, In terms of the other religions have no discipline law, the practice [discipline] of the Daesoon Thoughts required in the present age. It has the absoluteness.