• 한국수학교육학회지시리즈E:수학교육논문집
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• 제19권4호
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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.

• 대한수학교육학회지:수학교육학연구
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• 제15권1호
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• pp.1-19
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• 2005

학생들이 수학을 추상적인 교과로 인식하여 학습에 흥미를 잃거나 실세계 문제를 해결하는 능력이 부족하다는 점이 문제시되어 왔다. 이에 본 연구에서는 사례연구 방법으로 학생들이 모델링 활동을 하는 과정에서 개발하는 모델이 구체와 추상을 연결하는 중재 기능을 할 수 있는지를 조사하였다. 연구결과, 학생들이 개발하는 모델은 탈맥락화 된 추상적 실체라기보다는 구체와 추상이 연결된 관계 망인 상황화된 추상의 영역에 위치하고 있었다. 그러므로 이 모델은 구체와 추상을 연결하는 중재기능을 할 수 있고, 학생들의 모델링 경험이 실세계 문제를 해결하는 능력을 향상시킬 수 있다고 볼 수 있다.

• 한국실내디자인학회논문집
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• 제22권1호
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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.

• 한국통신학회논문지
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• 제30권6B호
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• pp.369-376
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• 2005

XML은 다양한 분야에서 널리 사용되고 있지만, 일반 사용자가 XML 문서를 작성하기란 아직 많은 어려움이 있다. 본 논문에서는 일반 사용자도 손쉽게 XML 문서를 작성할 수 있는 XML 구문지향 편집기를 소개하고, 구문지향 편집기의 내부 자료구조인 추상구문을 정의하고, 정의된 추상구문 규칙으로 문서를 편집하기 위한 편집기의 구성요소를 설명한다. 또한 DTD로부터 추상구문 규칙을 자동 생성하는 방법을 제시함으로써 더욱 빠르고 정확하게 XML 구문지향 편집기를 생성하는 방안을 제안한다. 추상구문의 구조와 구문지향 편집기의 작성 절차를 통하여 더욱 용이하게 XML 구문지향 편집기 생성이 가능하다.

• 대한수학회지
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• 제42권5호
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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.

• 대한수학회지
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• 제43권5호
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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.

• 대한수학회보
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• 제54권4호
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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.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 1996년도 추계학술대회 논문집
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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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• 제23권1_2호
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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.

• 대한수학회지
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• 제38권2호
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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.