• Title/Summary/Keyword: continuity

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R(g, g')-CONTINUITY ON GENERALIZED TOPOLOGICAL SPACES

  • Kim, Young-Key;Min, Won-Keun
    • Communications of the Korean Mathematical Society
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    • v.27 no.4
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    • pp.809-813
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    • 2012
  • We introduce the notion of R($g$, $g^{\prime}$)-continuity on generalized topological spaces, which is a strong form of ($g$, $g^{\prime}$)-continuity. We investigate some properties and relationships among R($g$, $g^{\prime}$)-continuity, ($g$, $g^{\prime}$)-continuity and some strong forms of ($g$, $g^{\prime}$)-continuity.

CONTINUITIES AND HOMEOMORPHISMS IN COMPUTER TOPOLOGY AND THEIR APPLICATIONS

  • Han, Sang-Eon
    • 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.

Business Continuity Strategies for Payment Systems (지급결제시스템의 업무연속성전략)

  • Lee, Seong-Il;Kim, Jeong-Deok;Kim, Yu-Jin
    • 한국디지털정책학회:학술대회논문집
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    • 2004.05a
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    • pp.545-558
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    • 2004
  • Payment Systems is one of critical infrastructures, which is increasingly dependent on IT. Failure to provide the payment services can bring disaster to national economy, which is the reason why business continuity of payment system receive much attention these days. Payment Systems are complex systems, which consist of multiple players: central bank, commercial banks, clearing house. The main purpose of this paper is to propose some business continuity strategies for the payment systems. First, in order to provide financial stability, this paper clarifies the concepts of business continuity plan(BCP). Second, this paper illustrates the processes to come up with business continuity strategies for the payment systems based on risk analysis and business impact analysis. Business continuity strategies are proposed in terms of two dimensions: vertical and horizontal.

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Comprehensive Crisis Management System of Operational Continuity Management (운영연속성관리(OCM)관점에서 위기관리통합시스템 구축)

  • Kang, Heau-Jo
    • 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.

Force transfer mechanism in positive moment continuity details for prestressed concrete girder bridges

  • Hossain, Tanvir;Okeil, Ayman M.
    • Computers and Concrete
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    • v.14 no.2
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    • pp.109-125
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    • 2014
  • The force transfer mechanism in positive moment continuity details for prestressed concrete girder bridges is investigated in this paper using a three-dimensional detailed finite element model. Positive moment reinforcement in the form of hairpin bars as recommended by the National Cooperative Highway Research Program Report No 519 is incorporated in the model. The cold construction joint that develops at the interface between girder ends and continuity diaphragms is also simulated via contact elements. The model is then subjected to the positive moment and corresponding shear forces that would develop over the service life of the bridge. The stress distribution in the continuity diaphragm and the axial force distribution in the hairpin bars are presented. It was found that due to the asymmetric configuration of the hairpin bars, asymmetric stress distribution develops at the continuity diaphragm, which can be exacerbated by other asymmetric factors such as skewed bridge configurations. It was also observed that when the joint is subjected to a positive moment, the tensile force is transferred from the girder end to the continuity diaphragm only through the hairpin bars due to the lack of contact between the both members at the construction joint. As a result, the stress distribution at girder ends was found to be concentrated around the hairpin bars influence area, rather than be resisted by the entire girder composite section. Finally, the results are used to develop an approach for estimating the cracking moment capacity at girder ends based on a proposed effective moment of inertia.

Effect of Continuity Rate on Multistage Logistic Network Optimization under Disruption Risk

  • Rusman, Muhammad;Shimizu, Yoshiaki
    • Industrial Engineering and Management Systems
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    • v.12 no.2
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    • pp.74-84
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    • 2013
  • Modern companies have been facing devastating impacts from unexpected events such as demand uncertainties, natural disasters, and terrorist attacks due to the increasing global supply chain complexity. This paper proposes a multi stage logistic network model under disruption risk. To formulate the problem practically, we consider the effect of continuity rate, which is defined as a percentage of ability of the facility to provide backup allocation to customers in the abnormal situation and affect the investments and operational costs. Then we vary the fixed charge for opening facilities and the operational cost according to the continuity rate. The operational level of the company decreases below the normal condition when disruption occurs. The backup source after the disrup-tion is recovered not only as soon as possible, but also as much as possible. This is a concept of the business continuity plan to reduce the recovery time objective such a continuity rate will affect the investments and op-erational costs. Through numerical experiments, we have shown the proposed idea is capable of designing a resilient logistic network available for business continuity management/plan.

A study of the in-service teachers' and pre-service teachers' recognition the domain in the problem of the continuity of a function (함수의 연속을 판단하는 문제에서 현직교사와 예비교사의 정의역 인식 조사)

  • Lee, Se Hyung;Chang, Hyun Suk;Lee, Dong Won
    • The Mathematical Education
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    • v.57 no.4
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    • pp.477-491
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    • 2018
  • In this paper we study in-service teachers' and pre-service teachers' recognition the domain in the problem concerning the continuity of a function. By a questionnaire survey we find out that most of in-service teachers and pre-service teachers are understanding the continuity of a function as explained in high school mathematics textbook, in which the continuity was defined by and focused on comparing the limit with the value of the function. We also notice that this kind of definition for the continuity of a function makes them trouble to figure out whether a function is continuous at an isolated point, and to determine that a given function is continuous on a region by not considering its domain explicitly. Based on these results we made several suggestions to improve for in-service teachers and pre-service teachers to understand the continuity of a function more exactly, including an introduction of a more formal words usage such as 'continuous on a region' in high school classroom.

Didactical Approach on Topology -Centered on convergence and continuity- (위상에 대한 교수학적 접근 -수렴성과 연속성을 중심으로-)

  • Kim, Jin Hwan
    • East Asian mathematical journal
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    • v.35 no.2
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    • pp.239-257
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    • 2019
  • The purpose of this study is to show that the topology is closely related to some subjects learned in school mathematics and then to give motivations for learning of the topology. To do this, it is showed that the topology is an abstracted device that deal with structure of limit and continuity introduced in school mathematics. This study took a literature study. The results of this study are as follows. First, the formal definition of general topology to structure open sets was examined. The nearness relation together with the closure operation was introduced and used to characterize for construction of general topology. Second, as definitions for continuity of function, we considered the intuitive definition, definition, structured definitions using open intervals and definition using open sets and then we investigated their roles. We also examined equivalent definition using the nearness relation which is helpful to understand continuity of function. Third, the sequence and its limit are treated in terms of continuous functions having the set of natural numbers and its extended set as domains. From these, it can be concluded that the convergence of sequence and the continuity of function are identified as functions that preserve the nearness relation and that the topology is a specialized tool for dealing with convergence and continuity.

Adapting to the Unpredictable: Companies' Strategies with Business Continuity in the Pandemic Era

  • Choongik CHOI
    • East Asian Journal of Business Economics (EAJBE)
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    • v.12 no.1
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    • pp.23-33
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    • 2024
  • Purpose: This paper explores the nuanced approaches undertaken by private companies in formulating and implementing business continuity plans (BCPs) in response to the unprecedented challenges posed by the global COVID-19 pandemic. Research design, data, and methodology: Utilizing a mixed-methods research design, the study delves into the multifaceted strategies employed by private sector entities, ranging from risk assessment and remote work policies to supply chain diversification and employee well-being initiatives. Result: The findings contribute to a deeper understanding of the evolving landscape of business continuity planning during a pandemic, offering valuable insights for academia, industry practitioners, and policymakers. The research findings present a detailed account of how private companies have tailored their business continuity plans in response to the unique challenges posed by the pandemic. Conclusion: This academic exploration sheds light on the dynamic landscape of business continuity planning in private companies responding to the global pandemic. Insights into the effectiveness of remote work policies, supply chain diversification, employee safety measures, and financial strategies contribute to the understanding of best practices and areas requiring further attention. These recommendations aim to inform future business continuity planning efforts, enhance organizational resilience, and mitigate the impact of global health crises on private sector operations.

CONTINUITY OF THE ORBITAL AND LIMIT SET MAPS IN GENERAL DYNAMICAL SYSTEMS

  • Lee, Kyung-Bok;Park, Jong-Suh
    • Communications of the Korean Mathematical Society
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    • v.26 no.4
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    • pp.649-660
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    • 2011
  • S. M. Saperstone and M. Nishihama [6] had showed both continuity and stability of the orbital and limit set maps, K(x) and L(x), where K and L are considered as maps from X to $2^X$. The main purpose of this paper is to extend continuity and stability for dynamical systems to general dynamical systems.