• Journal of applied mathematics & informatics
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• v.7 no.1
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• pp.247-255
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• 2000

The purpose of this paper is to give new existence theorems of equilibrium in abstract economies with uncountable number of agents and general preference correspondences.

• East Asian mathematical journal
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• v.31 no.1
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• pp.135-144
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• 2015

In this paper we establish several formulas for multiple integral transform of functionals defined on abstract Wiener space. We then use the these results to establish several basic formulas involving multiple convolution products.

• Journal of the Chungcheong Mathematical Society
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• v.23 no.4
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• pp.793-800
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• 2010

We investigate the existence and uniqueness of almost automorphic mild solutions of the semilinear abstract differential equations.

• Bulletin of the Korean Mathematical Society
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• v.50 no.1
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• pp.305-320
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• 2013

Topological semilattices with path-connected intervals are special abstract convex spaces. In this paper, we obtain generalized KKM type theorems and their analytic formulations, maximal element theorems and collectively fixed point theorems on abstract convex spaces. We also apply them to topological semilattices with path-connected intervals, and obtain generalized forms of the results of Horvath and Ciscar, Luo, and Al-Homidan et al..

• The International Journal of Costume Culture
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• v.13 no.2
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• pp.141-153
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• 2010

Fashion needs to be understood as practicality and creative behavior and various movements of paintings act as inspirations of original design for fashion designers. This study seeks to find sources of fashion designs in the works of Mark Rothko who is in the center of color-field abstract. Color-field of Rothko provides infinite inspirations as colors are identically treated as shapes and lighting and textures are all included on top of it. In this study, the purpose is to create color focused artistic fashion design by exploring the possibility of expression with the colors of Rothko as the main motive. The study method is as follows. First, the concept and significance of color-field abstract are researched through documented data. Works of Rothko is divided into three periods according to their characteristics. The background of the formation of color-field abstract of Rothko is understood by analyzing the trends of the works in each period. Second, twenty representative works from 1949 to 1969 are selected and analyzed in formative components of color, shape and textures in order to more accurately understand shape of colors, brilliance, simplicity that appear in the mature color-field abstract of Rothko. Third, preexisting methods of color-field of paintings developed into motives of clothing are studied focusing on the collections from 1997 to 2006. Examples of applications of color-field images in modern fashion designs are analyzed. Fourth, motives are selected based on general characteristics of color-field abstract of Rothko and the results of the formative analysis. Clothing is produced that expresses the colors of the paintings of Rothko more effectively. As the results of the study, restrained shapes and textures and various forms of color combinations shown in color-field abstract of Rothko provided deep inspirations on material composition and color planning for fashion design focused on colors. Additionally, needle-punching technique using wool for the production technique enabled relief texture expressions of materials by colors and effective applications of soft and warm atmosphere of color-field abstract of Rothko on clothing. Especially, the ideology of color-field abstract of Rothko of shaping of colors could be expressed and the direction of the development of motives could be presented at the same time by specifically applying color combination method using horizontal division of atypical color-field from the formative characteristics of color-field abstract of Rothko.

• Journal of Information Management
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• v.23 no.2
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• pp.1-13
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• 1992

This study intends to measure the indexibility and the information quantity in title and abstract. The result of analysis was that when the source was title or abstract, result was not good. But when it was the title and abstract, the result was better.

• Communications of the Korean Mathematical Society
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• v.11 no.4
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• pp.925-932
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• 1996

On certain groupoids called LIR-groupoids, one can define abstract definitions of continuity and differentiation of functions. Many properties of this abstract continuity and differentiation have analogy to the ordinary continuity and differentiation of real-valued functions.

• Communications of the Korean Mathematical Society
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• v.15 no.1
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• pp.77-90
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• 2000

In this paper, we will establish the existence theorem of the operator valued function space integral over paths in abstract Wiener space under the general conditions rather than the known conditions.

• Bulletin of the Korean Mathematical Society
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• v.59 no.5
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• pp.1131-1144
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• 2022

In this paper, we establish several basic formulas among the double-integral transforms, the double-convolution products, and the inverse double-integral transforms of cylinder functionals on abstract Wiener space. We then discuss possible relationships involving the double-integral transform.

• The Journal of Korean Association of Computer Education
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• v.18 no.6
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• pp.1-12
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• 2015

In computer education area, abstract thinking has played a positive role in programming ability, and language experience has also affected the ability. However, most of the studies were empirical. The practical research about the relation analysis between abstract thinking and programming ability has rarely been performed. Among various types of programming abilities such as coding, debugging, and reading, this paper focused on program understanding. We analyzed the affection relation on program understanding and the interaction effect between abstract thinking level and language familiarity. We surveyed 376 high school students on their abstract thinking levels, language familiarity, academic achievement, and the program understanding abilities of C and Scratch. From the research, we knew that the abstract thinking level played an important role in understanding the iterative program for the male students. In addition, if the students had the experience on other programming languages before entering high schools, then there was an interaction effect between abstract thinking level and program language familiarity.