• 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 the Korea Fashion and Costume Design Association
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• v.11 no.3
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• pp.17-25
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• 2009

The purpose of this study is to help understanding of abstract patterns and to play a guideline's role in the development of designs and the prediction of trends for present and future fashion designers and textile designers. The summary of this study's results is like followings. Formative characteristics of abstract pattern in 2000's fashion are Impromptu, Anti-mechanism, Superimposing, Disorder. First, Impromptu is rebounce against uniformity, mechanism, man-created beauty Second, Anti-mechanism represents unfinishing, unbalance, inaccuracy and relates with each traditional of nation or ethnic group. Third, Presupposing transparency Superimposing offsets each patterns. So Their images are ambiguity, ununiformity, unequality, incompletion, uncertainty and so on. Fourth, Disorder breaks and ignores physical balance, rule, order and so on. These images represent uncertainty, freedom, naturality. From this result, I can interpret that these images are representing of humanism reacting about uniformity, mechanism, man-created beauty, completeness of modernism since the Industrial Revolution.

• Korean Journal of Child Studies
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• v.28 no.5
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• pp.19-36
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• 2007

This study explored proverb comprehension and use in elementary school children by familarity and concreteness of proverbs and children's age, sex, experience of living with grandparents. The 529 fourth and sixth grade participants completed a questionnaire probing knowledge of 16 proverbs; 4 each in four categories(familiar-concrete, familiar-abstract, unfamiliar-concrete, and unfamiliar-abstract). Results showed highest comprehension scores for familiar-concrete proverbs. Sixth graders obtained higher comprehension score than fourth graders in all four proverb categories. There was no difference between grades in frequency of proverb usage. An interaction effect between grade and sex showed that female sixth graders had the highest comprehension score. These results suggest a possibility of relationship between figurative language and cognitive development related to abstract thinking in late school-age children.

• 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.

• Nonlinear Functional Analysis and Applications
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• v.26 no.1
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• pp.165-175
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• 2021

In this article we derive some best approximation theorems for multimaps in abstract convex metric spaces. We are based on generalized KKM maps due to Kassay-Kolumbán, Chang-Zhang, and studied by Park, Kim-Park, Park-Lee, and Lee. Our main results are extensions of a recent work of Mitrović-Hussain-Sen-Radenović on G-convex metric spaces to partial KKM metric spaces. We also recall known works related to single-valued maps, and introduce new partial KKM metric spaces which can be applied our new results.

• 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.

• 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 Information Processing Systems
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• v.2 no.3 s.4
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• pp.170-177
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• 2006

Recently, RFID technology has attracted considerable attention in many industry fields. The RFID environment requires a standard architecture for the smooth exchange of data between heterogeneous networks. The architecture should offer an efficient standard environment, such as a communication environment based on Web Services, PKI or Kerberos-based security, and abstract business processes which could be used in the diverse domains. Therefore, in this paper, we propose an Enterprise Application Framework (EAF) which includes a standard communication protocol, security functions, and abstract level business processes. The suggested architecture is expected to provide a more secure and flexible security management in the dynamic RFID application environments, and is expected to provide an abstract business event for the development of business processes which could apply RFID technology to the existing systems.

• Journal of the Korean Mathematical Society
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• v.41 no.2
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• pp.319-344
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• 2004

In this paper, we define conditional integrals on abstract Wiener and Hilbert spaces and then obtain a formula for evaluating the integrals. We use this formula to establish the existence of conditional Feynman integrals for the classes $A^{q}$(B) and $A^{q}$(H) of functions on abstract Wiener and Hilbert spaces and then specialize this result to provide the fundamental solution to the Schrodinger equation with the forced harmonic oscillator.tor.

• 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.