• Journal of the Korean Data and Information Science Society
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• v.16 no.4
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• pp.1013-1015
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• 2005

Liu[Fuzzy Optimization and Decision Making, 2(2003), 87-100] proved that convergence in credibility does not imply convergence a.s. and convergence in mean does not imply convergence a.s. by giving counter-examples. But these examples are not true. In this note, we prove that convergence in credibility implies convergence a.s. and convergence in mean implies convergence a.s.

• Bulletin of the Korean Mathematical Society
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• v.54 no.3
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• pp.917-933
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• 2017

In this paper, seven equivalent conditions of complete moment convergence and complete integral convergence for negatively orthant dependent (NOD, in short) sequences are shown under two cases: identical distribution and stochastic domination. The results obtained in the paper improve and generalize the corresponding ones of Liang et al. [10]). In addition, an extension of the Baum-Katz complete convergence theorem: six equivalent conditions of complete convergence is established.

• Journal of applied mathematics & informatics
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• v.40 no.1_2
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• pp.191-204
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• 2022

This paper introduces the statistical convergence concepts of double sequences of complex uncertain variables: statistical convergence almost surely(a.s.), statistical convergence in measure, statistical convergence in mean, statistical convergence in distribution and statistical convergence uniformly almost surely(u.a.s.).

• Journal of Information Technology Services
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• v.12 no.1
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• pp.143-161
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• 2013

Convergence is now the trend of knowledge information society. Information technology and knowledge transfer are main sources of convergence. There are many articles which studied outcomes of convergence while there are few articles that try to study the process of convergence. The purpose of this study is to investigate how convergence is dynamically formalized. For the analysis, we used Institutional Analysis and Development(IAD) framework from the point of convergence. IAD framework could synthetically study the origin and the process of convergence. We investigated the case of sillicon valley whether or not dynamics of ICT convergence could be explicable by IAD framework. The results shows that ICT technology and knowledge could be the enabler for the formation of convergence. ICT technology accelerates convergence and knowledge convergence from information converge different technologies and industries. This article provides a theoretical foundation for future research to analyze dynamics of ICT convergence by the IAD framework. For the future work, it is recommended that a study is to be empirically analyzed the dynamics of ICT convergence.

• Journal of the Korean Mathematical Society
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• v.54 no.3
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• pp.877-896
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• 2017

In this paper, the complete convergence and complete moment convergence for a class of random variables satisfying the Rosenthal type inequality are investigated. The sufficient and necessary conditions for the complete convergence and complete moment convergence are provided. As applications, the Baum-Katz type result and the Marcinkiewicz-Zygmund type strong law of large numbers for a class of random variables satisfying the Rosenthal type inequality are established. The results obtained in the paper extend the corresponding ones for some dependent random variables.

• Journal of the Korean Society of Costume
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• v.56 no.7 s.107
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• pp.101-114
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• 2006

The purpose of this study was to delve into the features of paradigm in conjunction with changing convergence culture in the 21st century's knowledge-based society, the influence of convergence paradigm on fashion, and changes in convergence culture. After identifying the features of the paradigm of knowledge-based society in association with changing convergence culture, the characteristics of fashion paradigm were examined in con=junction with the characteristics of the paradigm, and the convergence phenomena of modern fashion were investigated to figure out fashion trends. The findings of the study were as follows: According to the features of ubiquitous technology based on the theories of Mark Weiser and other futurologists, the characteristics of changing convergence culture in knowledge-based society could be classified into invisibility, relationship and materialized virtuality. When relevant theories were reviewed, invisibility, relationship and materialized virtuality are identified as the unique features of the paradigm of changing convergence culture in knowledge-based society. But those characteristics aren't separate concepts. Instead, they are being connected and fused together, thanks to universalized digital technology and ubiquitous technology. Changing convergence culture has brought a change to fashion paradigm as well. There is a type of design that lets all the characteristics stand out, and another design fuses just some of them together conceptually or formally. That is, fashion paradigm is marked by a combination of invisibility, relationship and an embodiment of virtual reality to be in line with changes in convergence culture.

• Journal of Digital Convergence
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• v.11 no.10
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• pp.431-435
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• 2013

In information society, Convergence was combined with a word 'digital'. Digital convergence means a service or new product which appeared through fusion of unit technologies in information and communication regions. The effects of convergence technologies and social phenomenons are visualized in overall regions of society such as economy, society, culture, etc. In this paper, we described a prospects and technologies needed in digital convergence environment. And we described a wearable computer which was leading case in digital convergence.

• Korean Journal of Mathematics
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• v.8 no.2
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• pp.139-146
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• 2000

In this paper, we discuss convergence theorem for contraction C-regularized semigroups. We establish the convergence of the sequence of generators of contraction regularized semigroups in some sense implies the convergence of the sequence of the corresponding contraction regularized semigroups. Under the assumption that R(C) is dense, we show the convergence of generators is implied by the convergence of C-resolvents of generators.

• Bulletin of the Korean Mathematical Society
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• v.56 no.4
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• pp.1007-1025
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• 2019

In the present work, the complete convergence and complete moment convergence properties for arrays of rowwise extended negatively dependent (END) random variables are investigated. Some sharp theorems on these strong convergence for weighted sums of END cases are established. These main results not only generalize the known corresponding ones of Cai [2], Wang et al. [17] and Shen [14], but also improve them, respectively.

• Journal of the Korean Society of Costume
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• v.65 no.2
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• pp.33-47
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• 2015

The purpose of this study is to understand the ideas of characteristic of convergence design related to slow fashion design. Convergence design in digital stage can be defined as a social phenomenon which different function of product move toward one direction for greater efficiency. Slow fashion is based on the Slow Movement. (This is a movement with similar principles to the Slow Food Movement, as it promotes an alternative mass production, such as fast fashion.) The aims of this research are to study slow fashion that has appeared in the fashion industry through various approaches for convergence designs, and to find the possibility of use for slow fashion. The research method consisted of carrying out case studies and analyzing literatures and proceeding cases. The characteristics of convergence designs are classified into technical convergence, emotion-oriented convergence and complex convergence. Technical convergence has an effect on slow fashion as a multi-functional design. Second, emotion-oriented convergence affects social-cultural design. Slow fashion related to a complex convergence design reveals emotion-oriented deign. Slow fashion is related to convergence design is to expect contribute to provide a good source for the future fashion industry and fashion market.