• Honam Mathematical Journal
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• v.26 no.3
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• pp.331-339
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• 2004

The aim of this paper is to show the difference between the notion of digital continuity and that of computer continuity. More precisely, for digital images $(X,\;k_0){\subset}Z^{n_0}$ and $(Y,\;k_1){\subset}Z^{n_1}$, $if(k_0,\;k_1)=(3^{n_0}-1,\;3^{n_1}-1)$, then the equivalence between digital continuity and computer continuity is proved. Meanwhile, if $(k_0,\;k_1){\neq}(3^{n_0}-1,\;3^{n_1}-1)$, then the difference between them is shown in terms of the uniform continuity property.

• Journal of the Korean Mathematical Society
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• v.45 no.4
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• pp.923-952
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• 2008

In this paper several continuities and homeomorphisms in computer topology are studied and their applications are investigated in relation to the classification of subs paces of Khalimsky n-dimensional space $({\mathbb{Z}}^n,\;T^n)$. Precisely, the notions of K-$(k_0,\;k_1)$-,$(k_0,\;k_1)$-,KD-$(k_0,\;k_1)$-continuities, and Khalimsky continuity as well as those of K-$(k_0,\;k_1)$-, $(k_0,\;k_1)$-, KD-$(k_0,\;k_1)$-homeomorphisms, and Khalimsky homeomorphism are studied and further, their applications are investigated.

• Honam Mathematical Journal
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• v.28 no.4
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• pp.591-603
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• 2006

For a set $X{\subset}{\mathbb{Z}}^n$ let $(X,\;T^n_X)$ be the subspace of the Khalimsky n-dimensional space $({\mathbb{Z}}^n,\;T^n)$, $n{\in}N$. Considering a k-adjacency of $(X,\;T^n_X)$, we use the notation $(X,\;k,\;T^n_X)$. In this paper for a map $$f:(X,\;k,\;T^n_X){\rightarrow}(Y,\;2\;T_Y)$$, we find the condition that weak (k, 2)-continuity of the map f implies strong (k, 2)-continuity of f.

• Journal of applied mathematics & informatics
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• v.22 no.1_2
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• pp.557-562
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• 2006

We consider the relationship between absolute continuity for functions of a real variable and absolute continuity of functions of generalized bounded variation. Here, we obtain necessary and sufficient conditions between these two functions.

• Journal of the Chungcheong Mathematical Society
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• v.22 no.4
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• pp.615-622
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• 2009

We solve the automatic continuity problem of an approximate higher derivation on a semisimple Banach algebra and investigate Hyers-Ulam stability for higher derivations.

• Journal of applied mathematics & informatics
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• v.16 no.1_2
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• pp.445-452
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• 2004

In [8], Rosenfeld's digital ($k_0,\;k_1$)-continuity was introduced and another was also established in terms of the preservation of ${k_i}-connectedness,\;i\;{\in}\;\{0,\;1\}$ [2, 3]. In this paper a new version of digital ($k_0,\;k_1$)-continuity for images in $Z^n$ is referred, which is proved to be an extended version of the formers [2, 3, 8]. The current digital ($k_0,\;k_1$)-continuity is derived from the notion of n kinds of digital neighborhoods with some radius without any difficulties on the dimension and adjacency of an image in $Z^n$. The aim of this paper is to compare among Rosenfeld's digital continuity, the current digital continuity and Boxer's digital ($k_0,\;k_1$)-continuity.

• Honam Mathematical Journal
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• v.25 no.1
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• pp.153-162
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• 2003

Recently, the generalized digital $(k_{0},\;k_{1})$-continuity and its properties are investigated. Furthermore, the k-type digital fundamental group for digital image has been studies with the generalized k-adjacencies. The main goal of this paper is to find some properties of the k-type digital fundamental group of Boxer and to investigate some properties of minimal simple closed k-curves with relation to their embedding into some spaces in ${\mathbb{Z}}^n(2{\leq}n{\leq}3)$.

• Journal of Advanced Navigation Technology
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• v.14 no.1
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• pp.127-133
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• 2010

The process for establishment of Operational Continuity Management Plan is organized repeatedly of Business Risk Assessment, Crisis Analysis, Business Impact Analysis, Establishing Business Recovery Strategies, Detailed Planning, Plan Execution, Test and Maintenance(Including Monitoring). Therefore, in this paper in response to global environmental change and the construction and operation of social security systems to maximize operational continuity management, crisis management and crisis management systems, building integrated systems for building technology in general and operational continuity management within an organization to understand developed to provide a framework for implementing operational continuity management in terms of crisis management has proposed to build an integrated system.

• Communications of the Korean Mathematical Society
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• v.19 no.3
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• pp.435-452
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• 2004

In this paper, we prove the weighted continuity of multilinear Marcinkiewicz operators for the extreme cases of p.

• Journal of the Korea Society of Computer and Information
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• v.13 no.3
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• pp.225-236
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• 2008

This study is to evaluate the influence of relationship marketing and identify empirically the important factors which affect relationship continuity between multimodal transport operators and shippers. The empirical findings of this research are, MTO's marketing activity factors which consist of customers' contact intensity, relationship-oriented factors, positively affects relationship continuity such as revisit intention and word-of-mouth communication. As a result, relationship marketing activities are essential to the market strategy of MTO for continuous and stable growth. Also, on condition of transactional types, On-line transaction has an effect of customer switching, but there is no different effect in case of service type. Accordingly, international MTO in domestic need to develop various relationship marketing programs such as a special program for enhancing the continuity, an event for long-term customers and training program should be implemented and enforced to elevate qualify of the service encounter.