• The Mathematical Education
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• v.42 no.4
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• pp.481-501
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• 2003

The main purpose of this work is to propose programs of algebra courses for the department of mathematics education of teacher training universities. Set Theory, Linear Algebra, Number Theory, Abstract Algebra I, Abstract Algebra II, and Philosophy of Mathematics for School Teachers are discussed in this article.

• Nonlinear Functional Analysis and Applications
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• v.26 no.1
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• pp.93-104
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• 2021

In this paper, we present a fixed point theorem for a family of generalized condensing multimaps which have ranges of the Zima-Hadžić type in Hausdorff KKM uniform spaces. It extends Himmelberg et al. type fixed point theorem. As applications, we obtain some new collective fixed point theorems for various type generalized condensing multimaps in abstract convex uniform spaces.

• 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 the Chungcheong Mathematical Society
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• v.34 no.4
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• pp.345-353
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• 2021

In this paper, first, we present new fixed point theorems for Mönch type multimaps on abstract convex uniform spaces and, also, a fixed point theorem for Mönch type multimaps in Hausdorff KKM L𝚪-spaces. Second, we show that Mönch type multimaps in the better admissible class defined on an L𝚪-space have fixed point properties whenever their ranges are Klee approximable. Finally, we obtain fixed point theorems on 𝔎ℭ-maps whose ranges are 𝚽-sets.

• Communications of the Korean Mathematical Society
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• v.12 no.3
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• pp.579-595
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• 1997

In this paper, we establish an $L_p$ analytic Fourier-Feynman transform theory for a class of cylinder functions on an abstract Wiener space. Also we define a convolution product for functions on an abstract Wiener space and then prove that the $L_p$ analytic Fourier-Feyman transform of the convolution product is a product of $L_p$ analytic Fourier-Feyman transforms.

• 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 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.

• Journal of applied mathematics & informatics
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• v.4 no.1
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• pp.109-116
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• 1997

In the present paper we consider an abstract partial dif-ferential equation of the form $\frac{\partial^2u}{{\partial}t^2}-\frac{\partial^2u}{{\partial}x^2}+A(x.t)u=f(x, t)$, where ${A(x, t):(x, t){\epsilon}\bar{G} }$ is a family of linear closed operators and $G=GU{\partial}G$, G is a suitable bounded region in the (x, t)-plane with bound-are ${\partial}G$. It is assumed that u is given on the boundary ${\partial}G$. The objective of this paper is to study the considered Dirichlet problem for a wide class of operators $A(x, t)$. A Dirichlet problem for non-elliptic partial differential equations of higher orders is also considerde.

• 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.