• Honam Mathematical Journal
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• v.33 no.1
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• pp.11-17
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• 2011

We study some properties of quasi-topological spaces. Also we introduce the concept of Q-continuity and investigate several types of quasi-topology on an SGNS.

• Honam Mathematical Journal
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• v.34 no.1
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• pp.77-84
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• 2012

In this paper, we define the weakly commuting mapping and prove the fixed point theorem for weakly commuting mappings under some conditions on intuitionistic fuzzy metric spaces.

• Journal of the Korean Mathematical Society
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• v.32 no.3
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• pp.615-623
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• 1995

Consider a function m defined in $R^n$ and the associated convolution operator T given by the Fourier transform $\hat{T} = m\hat{f}$.

• Journal of the Chungcheong Mathematical Society
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• v.33 no.1
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• pp.57-63
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• 2020

We investigate the boundedness of the spectrum of a convex base function for a new function space. The result guarantees the continuity of the Calderón-Zygmund operators on the new space.

• Journal of The Korean Association For Science Education
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• v.15 no.3
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• pp.325-331
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• 1995

The purpose of this study is to analyze learning objectives of biology contents in SATIS 14-16. Modified the 5th NAEP three dimentional science assessment framework was used to analyze learning objectives of SATIS 14-16. This study will be a basic data for the development of STS programs in KOREA. The following results were obtained. 1. In a content dimension, 'structures and functions of organism'(63.9%) was the most frequently found, followed by 'the nature and our Iives'(22.1%), 'a continuity of Iife'(9.4%) and 'our surrounding Iives'(4.7%). 2. In a cognitive dimension, an understanding of scientific knowledge(32.7%) was the most frequently found, followed by an improvement of inquiry ability(25.6%), attitude(24.7%), and scientific knowledge and its application(17.0%). 3. In a context dimension, a personal context(32.8%) was the most frequently found, followed by a social context(27.3%), a scientific context(20.0%) and a technological context(20.0%). 4. There were some differences in behavior when each content was compared. In 'surrounding lives' and 'a continuity of life', an understanding of scientific knowledge was the most frequently found. In 'structures and functions of organism' and 'the nature and our lives', proportions of four behavioral catagories were relatively even. 5. There were some differences in context when each content was compared. In 'surrounding lives', scientific context was the most frequently found, whereas in 'structures and functions of lives', individual context was found the most frequently. In 'a continuity of life', scientific and social context were found more frequently than others. In 'the nature and our lives', social context was the most frequent one.

• Journal of applied mathematics & informatics
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• v.18 no.1_2
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• pp.505-512
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• 2005

In this paper, we introduce another statement of a digital $(k_{0}, k_{1})-homeomorphism$ which is suitable for an approach to write an efficient algorithm for discriminating digital images with respect to the digital $(k_{0}, k_{1})-homeomorphism$.

• Honam Mathematical Journal
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• v.30 no.2
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• pp.207-217
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• 2008

Digital geometry has strongly contributed to the study of a discrete topological space $X{\subset}{\mathbf{Z}}^n$ with k-adjacency of ${\mathbf{Z}}^n$. As a survey-type article, we review various utilities of digital geometry.

• Journal of the Chungcheong Mathematical Society
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• v.4 no.1
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• pp.91-97
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• 1991

This paper studies the structure and continuity of derivations of the Banach algebra $C^n(I)$ of n times continuously differentiable functions on an interval I into Banach $C^n(I)$-modules.

• Journal of the Chungcheong Mathematical Society
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• v.7 no.1
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• pp.193-197
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• 1994

The goal of this note is to give an extended version of integral continuity theorem, which may be used in the study of dynamics on noncompact spaces.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.5 no.2
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• pp.175-178
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• 2005

In the present paper, we observe a relation between fuzzy norms and induced crisp norms on a linear space. We first prove that if $\rho_1,\;\rho_2$ are equivalent fuzzy norms on a linear space, then for every $\varepsilon\in(0.1)$, the induced crisp norms $P_\varepsilon^1,\;and\;P_\varepsilon^2$, respectively are equivalent. Since the converse does not hold, we prove it under some strict conditions. And consider the following theorem proved in [8]: Let $\rho$ be a lower semicontinuous fuzzy norm on a normed linear space X, and have the bounded support. Then $\rho$ is equivalent to the fuzzy norm $\chi_B$ where B is the closed unit ball of X. The lower semi-continuity of $\rho$ is an essential condition which guarantees the continuity of $P_\varepsilon$, where 0 < e < 1. As the last result, we prove that : if $\rho$ is a fuzzy norm on a finite dimensional vector space, then $\rho$ is equivalent to $\chi_B$ if and only if the support of $\rho$ is bounded.