• Title, Summary, Keyword: continuity

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Sets of Complete Continuity

  • Park, Jae-Myung
    • Journal of the Chungcheong Mathematical Society
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    • v.5 no.1
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    • pp.99-101
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    • 1992
  • In this paper, we study some properties of sets of complete continuity. Moreover, we prove that if the subsets $C_1$ and $C_2$ of a Banach space X are sets of complete continuity, then so is the set $C_1{\times}C_2$ in the product space $X{\times}X$.

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Some Results of Generalized Homomorphisms on Banach Algebras

  • Kim, Gwang-Hui
    • Journal of the Chungcheong Mathematical Society
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    • v.4 no.1
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    • pp.49-54
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    • 1991
  • In the paper of Johnson[4], the results about continuity of homomorphisms were applied to those of generalized homomorphisms. This paper presents the results helpful to prove the continuity of generalized homomorphisms on Banach algebra and the continuity of generalized homomorphisms on it.

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DECOMPOSITION OF CONTINUITY AND COMPLETE CONTINUITY IN SMOOTH FUZZY TOPOLOGICAL SPACES

  • Amudhambigai, B.;Uma, M.K.;Roja, E.
    • East Asian mathematical journal
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    • v.27 no.3
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    • pp.261-271
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    • 2011
  • In this paper, fuzzy ${\alpha}^*$-set, fuzzy C-set, fuzzy AB-set, fuzzy t-set, fuzzy B-set, etc., are introduced in the sense of Sostak [12] and Ramadan [9]. By using these sets, a decomposition of fuzzy continuity and complete fuzzy continuity are provided. Characterization of smooth fuzzy extremally disconnected spaces is also obtained in this connection.

The Eccentric Properties of the Chi-Squared Test with Yates' Continuity Correction in Extremely Unbalanced 2×2 Contingency Table

  • Kang, Seung-Ho;Kwon, Tae-Hyuk
    • The Korean Journal of Applied Statistics
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    • v.23 no.4
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    • pp.777-781
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    • 2010
  • Yates' continuity correction of the chi-squared test for testing the homogeneity of two binomial proportions in $2{\times}2$ contingency tables is developed to lower the value of the test statistic slightly. The effect of continuity correction is expected to decrease as the sample size increases. However, in extremely unbalanced $2{\times}2$ contingency tables, we find some cases where the effect of continuity correction is eccentric and is larger than expected. In such cases, we conclude that the chi-squared test with continuity correction should not be employed as a test statistic in both asymptotic tests and exact tests.

Profile-based Service Continuity Framework for N-Screen Service

  • Chung, Young-Sik;Paik, Eui-Hyun;Rhee, Woo-Seop
    • International Journal of Contents
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    • v.8 no.1
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    • pp.47-54
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    • 2012
  • The dynamic adaptation between various service environments using the application profiles for the service continuity is a key issue of the profile-based service continuity framework (PSCF) for N-screen service using next generation networks. PSCF offers an optimized service framework for providing continuous user services, which are multimedia video streaming, educational broadcasting, game, etc., using the various devices that are not restricted by the service environment of the user. This paper specifies the functional model of PSCF, service scenario and explains the experimental results of the service continuity for N-screen service using PSCF.

A Study on Discrete Continuity of Information System, Knowledge System, and e-Business System

  • Choi, Jae Young
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.6 no.3
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    • pp.203-209
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    • 2010
  • Since information systems are pervasive in the business and non-business areas, the issue of extending researches on information systems to knowledge systems and e-business systems is one of the most profitable topics of researches. We propose a historical, discontinuous changes introducing ambiguity in explaining and interpreting innovative nature of three paradigms of systems: information systems, knowledge systems, and e-business systems. Resorting to the historical perspective in developing ideas into meaningful themes, we proposed a discrete continuity in interpreting changes of paradigms of systems. Discrete continuity may be explained by ambiguously-shared meaningful perspectives applied to different paradigms of systems and interpretive elements of each system. The discrete continuity has been adopted to make ambiguity utilized have instrumental contribution in researches. The engrafted ambiguity in systems design, development, and use could have enduring instrumental value in interpreting the types or variants of systems in each paradigm of systems.

Business Continuity Management Processes and Maturity Model (업무연속성관리 프로세스와 성숙도 모델)

  • Kim, Yu-Jin;Kim, Jeong-Deok;Lee, Seong-Il
    • 한국디지털정책학회:학술대회논문집
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    • pp.329-341
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    • 2004
  • Compared to other business discipline, business continuity is relatively new. In this post 9/11 era, we still do not have a meaningful tool to objectively and consistently measure the organization's disaster-readiness. The purpose of this study is to introduce various processes included in the business continuity management (BCM) and introduce the business continuity program maturity model(BCMM). The BCMM can serve two purposes: First, it provides a diagnostic tool for objective evaluation of BCM effectiveness. Second, it can suggest ways of improvement for the business continuity program by generating data from which meaningful benchmark analyses could be drawn.

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Construction of Cubic Triangular Patches with $C^1$ Continuity around a Corner

  • Zhang, Renjiang;Liu, Ligang;Wang, Guojin;Ma, Weiyin
    • International Journal of CAD/CAM
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    • v.6 no.1
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    • pp.149-156
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    • 2006
  • This paper presents a novel approach for constructing a piecewise triangular cubic polynomial surface with $C^1$ continuity around a common corner vertex. A $C^1$ continuity condition between two cubic triangular patches is first derived using mixed directional derivatives. An approach for constructing a surface with $C^1$ continuity around a corner is then developed. Our approach is easy and fast with the virtue of cubic reproduction, local shape controllability, $C^2$ continuous at the corner vertex. Some experimental results are presented to show the applicability and flexibility of the approach.