• The Journal of Korean Institute of Communications and Information Sciences
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• v.9 no.3
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• pp.103-107
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• 1984

According to rapid developments in data communication, we have being used every infromation with ease. In receiving and transmitting the infromation acquired, it is being needed to transmit it with minimizing bits if possible. Therefore this paper suggests the efficient coding system, that is, OCM(Octal-Compact Mapping) technique. In case of average-case, it has 3.5bytes in entropy with 8 symbols. This means it is compressed more than at least 1 byte as compared with another coding techniques. It decreases the redundancy of data and is superior to another data compression techniques.

• Kyungpook Mathematical Journal
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• v.49 no.3
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• pp.425-433
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• 2009

In this paper, we give the internal characterizations of compact-covering s-(resp., ${\pi}$-)images of locally separable metric spaces. As applications of these results, we obtain characterizations of compact-covering quotient s-(resp., ${\pi}$-)images of locally separable metric spaces.

• Journal of applied mathematics & informatics
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• v.3 no.1
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• pp.35-46
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• 1996

This paper suggests a new coding method for the parallel machine which compresses the data be reducing redundancy. Paral-lel Dynamic octal Compact Mapping (PDOCM) compresses at least 1 byte per word compared with other coding techniques and achieves a 54. 188-fold speedup with 64 processors to transmit 10 million charac-ters.

• Journal of the Korea Society of Computer and Information
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• v.24 no.2
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• pp.1-7
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• 2019

This paper presents CTP (Compact Translation Page), a compact representation of translation pages, for page mapping-based flash translation layers to improve RAM utilization and reduce the response time of solid state drives. CTP can store translation information twice in a translation page and the total number of translation pages stored in flash is reduced to half. Therefore, CTP halves the RAM size of the directory of translation pages and uses the saved RAM space for translation cache. CTP shows the best response time when compared to existing page mapping-based flash translation layers.

• Korean Journal of Mathematics
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• v.16 no.4
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• pp.545-551
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• 2008

We investigate the multiple solutions for a parabolic boundary value problem with jumping nonlinearity crossing no eigenvalues. We show the existence of the unique solution of the parabolic problem with Dirichlet boundary condition and periodic condition when jumping nonlinearity does not cross eigenvalues of the Laplace operator $-{\Delta}$. We prove this result by investigating the Lipschitz constant of the inverse compact operator of $D_t-{\Delta}$ and applying the contraction mapping principle.

• Communications of the Korean Mathematical Society
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• v.13 no.1
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• pp.137-150
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• 1998

The purpose of this paper is to introduce and study the concept of fuzzy FC-compactness for fuzzy topological spaces.

• Journal of the Chungcheong Mathematical Society
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• v.6 no.1
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• pp.53-57
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• 1993

Let E and F be Banach spaces with $X{\subset}E$ and $Y{\subset}F$. Suppose that X is weakly compact, convex and has the fixed point property for a nonexpansive mapping, and Y has the fixed point property for a multivalued nonexpansive mapping. Then $(X{\oplus}Y)_p$, $1{\leq}$ P < ${\infty}$ has the fixed point property for a multi valued nonexpansive mapping. Furthermore, if X has the generic fixed point property for a nonexpansive mapping, then $(X{\oplus}Y)_{\infty}$ has the fixed point property for a multi valued nonexpansive mapping.

• Communications of the Korean Mathematical Society
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• v.20 no.3
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• pp.505-509
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• 2005

We show that every $\varepsilon-approximate$ Jordan functional on a Banach algebra A is continuous. From this result we obtain that every $\varepsilon-approximate$ Jordan mapping from A into a continuous function space C(S) is continuous and it's norm less than or equal $1+\varepsilon$ where S is a compact Hausdorff space. This is a generalization of Jarosz's result [3, Proposition 5.5].

• Journal of the Korean Mathematical Society
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• v.45 no.2
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• pp.527-535
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• 2008

Sufficient conditions are given to assert that between any two Banach spaces over $\mathbb{K}$ Fredholm mappings share exactly N values in a specific open ball. The proof of the result is constructive and is based upon continuation methods.

• Honam Mathematical Journal
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• v.31 no.4
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• pp.497-504
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• 2009

We introduce the concepts of M-preclosed graph and M$^*$-preopen mapping on spaces with minimal structures and investigate some properties of M$^*$-preopen mapping. We also investigate the relationships between M-precontinuous mappings and several types of m-compactness.