• Communications of Mathematical Education
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• v.19 no.4 s.24
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• pp.599-620
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• 2005

There can be two different approaches to introducing Abstract Algebra to undergraduate students: One is to introduce group concept prior to ring concept, and the other is to do the other way around. Although the former is almost conventional, it is worth while to take the latter into consideration in the viewpoint that students are already familiar to rings of integers and polynomials. In this paper, we investigated 16 most commonly used Abstract Algebra undergraduate textbooks and found that 5 of them introduce ring theory prior to group theory while the rest do the other way around. In addition, we interviewed several undergraduate students who already have taken an Abstract Algebra course to look into which approach they prefer. Then we compare pros and cons of two approaches on the basis of the results of the interview and the historico-genetic principle of teaching and learning in Abstract Algebra and suggest that it certainly be one of alternatives to introduce ring theory before group theory in its standpoint.

• Journal of Educational Research in Mathematics
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• v.15 no.1
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• pp.1-19
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• 2005

There have been raised the question that students have been of no interst in mathematcs and incompetent for solving real world problem because students have been recognized mathematcs as abstract knowldege. We research whether students' modeles developed in modeling activity can mediate between concrete and abstract. The analysis of our case study revealed that students' modeles aren't decontextualized abstraction but is located in situated abstraction that is a network connecting between concrete and abstract. Thus, these modeles are a tool mediating between concrete and abstract. Also, students' modeling activities can provide students with the opportunity of being competent for solving real world problem.

• Korean Institute of Interior Design Journal
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• v.22 no.1
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• pp.239-246
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• 2013

This study is aimed at understanding the color extendibility of color-field abstract through Mark Rothko's paintings. Color extendibility is a structure applied by Mark Rothko. He simplifies it and by pursuing autonomy and immediacy of the color itself, including surface color and the front of color-field, Rothko creates value through motions in his square paintings of non-fixed shapes. Chapter 2 revisits the meaning of color in abstract expressionism and explains the principle of color-field by applying the concept of ergon and parergon. In chapter 3, the principle, processes, methods, techniques of expression were studied as a basis to understand color extendibility and color-field abstract. In chapter 4, the works of Mark Rothko were analyzed based on his multiform paintings(1946-1948), number and untitled(1949-1957), and black paintings(1958-1970) in order to identify, in the final chapter, the features of color extendibility in Rothko's works. According to the above research, the thesis successfully concludes that the artist's reconstruction of reality and readjustment of transcendent reality are reproduced via color extendibility, the movement of color-field.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.30 no.6B
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• pp.369-376
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• 2005

While XML is employed in a variety of fields, editing XML document is still hard for the beginners and ordinary individuals. In this paper, we present a syntax-directed editor which is designed to provide unprofessional XML users with easy guides of using XML document. Along with the definition, abstract syntax (data structure of syntax-directed editor) would be explicitly defined. Components of the editor will be projected according to the projected definition of the abstract syntax rule of this paper. Moreover we show that the automatic generation of the abstract syntax rules coming from DTD would enhance the use of XML syntax-directed editor in faster and more precise ways. It could be easier to generate XML syntax-directed editor through a structure of abstract syntax and standard procedure of manufacturing syntax-directed editor.

• Journal of the Korean Mathematical Society
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• v.42 no.5
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• pp.1031-1056
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• 2005

In this paper, we define the conditional first variation over Wiener paths in abstract Wiener space and investigate its properties. Using these properties, we also investigate relationships among first variation, conditional first variation, Fourier-Feynman transform and conditional Fourier-Feynman transforms of functions in a Banach algebra which is equivalent to the Fresnel class. Finally, we provide another method evaluating the Fourier-Feynman transform for the product of a function in the Banach algebra with n linear factors.

• Journal of the Korean Mathematical Society
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• v.43 no.5
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• pp.967-990
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• 2006

In this paper, we evaluate first variations, conditional first variations and conditional Fourier-Feynman transforms of cylinder type functions over Wiener paths in abstract Wiener space and then, investigate relationships among first variation, conditional first variation, Fourier-Feynman transform and conditional Fourier-Feynman transform of those functions. Finally, we derive the conditional Fourier-Feynman transform for the product of cylinder type function which defines the functions in a Banach algebra introduced by Yoo, with n linear factors.

• Bulletin of the Korean Mathematical Society
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• v.54 no.4
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• pp.1229-1240
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• 2017

This paper presents a systematic study of the abstract harmonic analysis over spaces of complex measures on homogeneous spaces of compact groups. Let G be a compact group and H be a closed subgroup of G. Then we study abstract harmonic analysis of complex measures over the left coset space G/H.

• Proceedings of the Korean Society of Precision Engineering Conference
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• 1996.11a
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• pp.450-455
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• 1996

Emotional intelligence is investigated in terms of a composing machine as a modern abstract art form. Music has the longest tradition of being an art form which has an explicit formal foundation. Formal aspects of traditional and modern music theory are explained in terms of simple numerical relationship and illustrated with examples. The exploration of art in the view of intelligence, information and structure will restore the balanced sense of art and science which seeks happiness in life.

• 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.

• Journal of the Korean Mathematical Society
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• v.38 no.2
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• pp.485-501
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• 2001

In this paper we express analytic Feynman integral of the first variation of a functional F in terms of analytic Feynman integral of the product F with a linear factor and obtain an integration by parts formula of the analytic Feynman integral of functionals on abstract Wiener space. We find the Fourier-Feynman transform for the product of functionals in the Fresnel class F(B) with n linear factors.