• 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.

• Journal of the Korean Institute of Landscape Architecture
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• v.36 no.6
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• pp.1-11
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• 2009

This study focuses on Abstract Types in Contemporary Landscape Design. The formation and artistry of contemporary landscape design reveals many areas which Previously have not been able to be expressed in scenic landscape thanks to the deviation of the genre in contemporary landscape and the hybridization that has occurred among architecture, landscape and art genres. The focus of this study is basic research concerning "the abstract", which is used as a creative artistic theory in a variety of art fields such as landscape, architecture and painting. Through a theoretical establishment of "the abstract", its process of change, and the discovery of its contemporary principles, the relationship between each art field in landscapes and the formation of the abstract, abstract language, and abstract properties have been studied. The use of the abstract in contemporary landscape design can be classified in three ways: Inductive abstract representing conceptual transcendental symbols not logically but rather through intuition and transcendental cognition to display the inner expressions, ideas and minds of the artists. Second, a deductive abstract represents an expansive, logical model for the simplification of objects, distortion, exaggeration based on knowledge and logical reasoning about objective fact based on traditional realism. The complexity of the abstract is a concept that is bound to both the deductive & inductive abstract. As a major trend, the concept of "The abstract" in contemporary landscape has been putting forth ever-deeper roots. New trends like abstract works and landscape architecture reflecting the artist's inner expression, in particular, will provide fertile soil for landscape in the future. Further research about the concept of "the abstract" will also be necessary in the time to come.

• Journal of the Korean Society of Clothing and Textiles
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• v.33 no.9
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• pp.1430-1440
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• 2009

This study is on the abstract expressionist techniques among the art activities variously expressed in modern fashion. Its significance lies in making fashion artistic through the combination of fashion and art in contributing to the development of creative fashion culture. In terms of method, documents are used to characterize the concept of abstract expressionism, the works of representative artists, and the panting techniques in relation to modem art based on existing literature. Fashion-related anthology, domestic, and foreign fashion magazines were used to analyze the abstract expressionism applied to modern fashion since 2000. According to the findings, the abstract expressionism applied to modern fashion showed artistic expressions with the abstract beauty by chance, using only the images or techniques similar to those in abstract expressionism. Expressionist works had abstract and dynamic images, as they were given a third dimension through the process of being worn on the human body. Second, details or decorative factors were excluded to ensure the maximum space for expression, modem images were displayed using the simple forms such as silhouettes (spacious or dense) and the beauty of harmony was shown that had beauty emphasized by the expression effects of textile design, the division of space, and the composition of colors. Third, the action painting techniques in modern fashion were used for textile designs printed on the surface of clothes, and the dynamic character of the design was shown by the duplication and juxtaposition of stains created by chance. The color field abstract techniques were shown through printing, texture, and dying, in addition the intense and pure abstract images were displayed by treating clothes like large screens.

• Bulletin of the Korean Mathematical Society
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• v.49 no.6
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• pp.1147-1161
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• 2012

In this paper, a coincidence theorem for a compact ${\Re}\mathfrak{C}$-map is proved in an abstract convex space. Several more general coincidence theorems for noncompact ${\Re}\mathfrak{C}$-maps are derived in abstract convex spaces. Some examples are given to illustrate our coincidence theorems. As applications, an alternative theorem concerning the existence of maximal elements, an alternative theorem concerning equilibrium problems and a minimax inequality for three functions are proved in abstract convex spaces.

• Proceedings of the Korea Society for Industrial Systems Conference
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• 1997.11a
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• pp.79-89
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• 1997

Logic programming has many advantages as a paradigm for parallel programming because it offers ease of programming while retaining high expressive power due to its declarative semantics. In parallel logic programming, one of the important issues is the compile-time parallelism detection. Static data-dependency analysis has been widely used to gather some information needed for the detection of AND-parallelism. However, the static data-dependency analysis cannot fully detect AND-parallelism because it does not provide some necessary functions such as the propagation of groundness. As an alternative approach, abstract interpretation provides a promising way to deal with AND-parallelism detection, while a full-blown abstract interpretation is not efficient in terms of computation since it inherently employs some complex operations not necessary for gathering the information on AND-parallelism. In this paper, we propose an abstract domain which can provide a precise and efficient way to use the abstract interpretation for the detection of AND-parallelism of logic programs.

• Journal of architectural history
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• v.3 no.1
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• pp.143-159
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• 1994

Ornament in late nineteenth century Art Nouveau movement, especially abstract ornament in Viennese Art Nouveau, has a very complex aesthetical background. Ornament, for them was not just decorations in outer appearance, but a determinant element of formal languages. Abstract ornament in Viennese Art Nouveau has its theoretical and aesthetical bases in the Interpretation of nature, that is, the theory of the abstract ornament was founded on a new interpretation of nature, which, in its turn, was derived from the differentiational selection of the contemporary views of nature. The modernity of abstract ornament consists in the very fact that it was founded on a new interpretation of nature. This study alms at reviewing how the new interpretation of nature by abstract ornament criticized, rejected and accepted the contemporary views of nature. The overall tendency of this study is to synthesize and analyze the historical background of Viennes Art-Nouveau in regard to aesthetic theories of nature. The analysis method of this study is interpretation of written documents which are related to the issue.

• Journal of applied mathematics & informatics
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• v.23 no.1_2
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• pp.101-112
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• 2007

In this paper, by using fractional power of operators and Sadovskii fixed point theorem, we study the controllability of abstract neutral functional integrodifferential systems with infinite delay. As application, an example is provided to illustrate the obtained results.

• 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..

• Journal of the Korean Mathematical Society
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• v.38 no.2
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• pp.283-296
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• 2001

The Heisenberg inequality associated with the uncertainty principle is extended to an infinite dimensional abstract Wiener space (H, B) with an abstract Wiener measure p$_1$. For $\phi$ $\in$ L$^2$(p$_1$) and T$\in$L(B, H), it is shown that (※Equations, See Full-text), where F(sub)$\phi$ is the Fourier-Wiener transform of $\phi$. The conditions when the equality holds also discussed.