• 제목/요약/키워드: continuity of a function

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조직중심의 지자체 기능연속성계획(COOP) 수립방안 및 실행력 확보에 관한 연구 (A Study on the Establishment of Executable Continuity of Operations(COOP) to Local Governments focusing on Organization)

  • 최혜령;이영재;정종수
    • 한국재난정보학회 논문집
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    • 제18권2호
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    • pp.405-417
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    • 2022
  • 연구목적: 지자체는 국민의 안전과 생활에 직접적으로 영향을 주는 행정조직으로서 재난 발생 시 핵심 기능의 연속성 확보가 중요하다. 본 논문은 재난으로부터 지자체 핵심기능을 보호·유지하기 위한 기능연속성계획의 수립 및 실행력 확보를 위한 효율적인 방법을 검토하는 것을 목적으로 한다. 연구방법: ISO22301기반 한 기능연속성계획의 비효율성을 개선하기 위하여, 조직중심의 기능연속성 방법을 적용하여 계획수립 방안과 핵심기능, 소요자원 그리고 교육훈련에 관련된 기본 서식을 제시하고, 지자체에 적용하여 타당성을 검토한다. 연구결과: 제안된 조직중심의 기능연속성계획 작성 방법은 관료적인 지자체의 특성을 반영하여 실국 단위로 작성함으로써 작성 및 실무적용이 용이하다. 결론:민간에 비하여 업무가 조직중심으로 되어 있는 공공분야에서는 기능연속성계획 수립에 조직적인 관점을 충분히 반영하는 것이 더 효율적인 방법이 될 수 있다.

A FUNCTIONS AND ITS GRAPH FUCTION

  • CHAE G. I.;SINGH V. P.;PARK Y. S.;GIHARE R. P.
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제12권1호
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    • pp.47-55
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    • 2005
  • For topological spaces X, Y and the function f : X → Y, it induces a function gr(f) : X → X x Y defined as gr(f)(χ) = (χ, f(χ)), for every χ ∈ X. It deals with some preliminary investigations relating to the behavior of functions and its graph functions. It has also been found that continuous functions are homotopic if and only if their graph functions are homotopic.

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Decomposition of fuzzy ideal continuity via fuzzy idealization

  • Zahran, Ahmed M.;El-Baki, S. Ahmed Abd;Saber, Yaser Mohammed
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제9권2호
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    • pp.83-93
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    • 2009
  • Recently, El-Naschie has shown that the notion of fuzzy topology may be relevant to quantum paretical physics in connection with string theory and E-infinity space time theory. In this paper, we study the concepts of r-fuzzy semi-I-open, r-fuzzy pre-I-open, r-fuzzy $\alpha$-I-open and r-fuzzy $\beta$-I-open sets, which is properly placed between r-fuzzy openness and r-fuzzy $\alpha$-I-openness (r-fuzzy pre-I-openness) sets regardless the fuzzy ideal topological space in Sostak sense. Moreover, we give a decomposition of fuzzy continuity, fuzzy ideal continuity and fuzzy ideal $\alpha$-continuity, and obtain several characterization and some properties of these functions. Also, we investigate their relationship with other types of function.

함수의 연속과 연속확률변수 개념에 대한 교수·학습적 고찰 (Teaching and Learning of Continuous Functions and Continuous Random Variables)

  • 윤용식;이광상
    • 한국수학사학회지
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    • 제32권3호
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    • pp.135-155
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    • 2019
  • One of the reasons students have difficulty in studying probability is that they do not understand the meaning of mathematical terms precisely. One such term is a continuous random variable. Students tend not to think of the accurate definition of continuous random variables but to understand the definition of continuity of functions and the meaning of continuity in probability as equal. In this study, we try to explore the degree of pre-service teachers' understanding on the concept of continuation of functions and continuous random variables. To do this, the questionnaire items related to continuous random variables and continuity of functions were developed by experts and examined by pre-service teachers. Based on this, we make suggestions on implications for teaching and learning about continuous random variables.

CONTINUITY OF AN APPROXIMATE JORDAN MAPPING

  • Lee, Young-Whan
    • 대한수학회논문집
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    • 제20권3호
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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].

Suggesting double-web I-shaped columns for omitting continuity plates in a box-shaped column

  • Saffari, Hamed;Hedayat, Amir A.;Goharrizi, Nasrin Soltani
    • Steel and Composite Structures
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    • 제15권6호
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    • pp.585-603
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    • 2013
  • Generally the required strength and stiffness of an I-shaped beam to the box-shaped column connection is achieved if continuity plates are welded to the column flanges from all sides. However, welding the forth edge of a continuity plate to the column flange may not be easily done and is normally accompanied by remarkable difficulties. This study was aimed to propose an alternative for box columns with continuity plates to diminish such problems. For this purpose a double-web I-shaped column was proposed. In this case the strength and rotational stiffness of the connection was provided by nearing the column webs to each other. Finite element studies on about 120 beam-column connections showed that the optimum proportion of the distance between two column webs and the width of the column flange (parameter ${\beta}$) was a function of the ratio of the beam flange width to the column flange width (parameter ${\alpha}$). Hence, based on the finite element results, an equation was proposed to estimate the optimum value of parameter ${\beta}$ in terms of parameter ${\alpha}$ to achieve the highest connection performance. Results also showed that the strength and ductility of post-Northridge connections of such columns are in average 12.5 % and 54% respectively higher than those of box-shaped columns with ordinary continuity plates. Therefore, a double-web I-shaped column of optimum arrangement might be a proper replacement for a box column with continuity plates when beams are rigidly attached to it.

Meshless formulation for shear-locking free bending elements

  • Kanok-Nukulchai, W.;Barry, W.J.;Saran-Yasoontorn, K.
    • Structural Engineering and Mechanics
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    • 제11권2호
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    • pp.123-132
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    • 2001
  • An improved version of the Element-free Galerkin method (EFGM) is presented here for addressing the problem of transverse shear locking in shear-deformable beams with a high length over thickness ratio. Based upon Timoshenko's theory of thick beams, it has been recognized that shear locking will be completely eliminated if the rotation field is constructed to match the field of slope, given by the first derivative of displacement. This criterion is applied directly to the most commonly implemented version of EFGM. However in the numerical process to integrate strain energy, the second derivative of the standard Moving Least Square (MLS) shape functions must be evaluated, thus requiring at least a $C^1$ continuity of MLS shape functions instead of $C^0$ continuity in the conventional EFGM. Yet this hindrance is overcome effortlessly by only using at least a $C^1$ weight function. One-dimensional quartic spline weight function with $C^2$ continuity is therefore adopted for this purpose. Various numerical results in this work indicate that the modified version of the EFGM does not exhibit transverse shear locking, reduces stress oscillations, produces fast convergence, and provides a surprisingly high degree of accuracy even with coarse domain discretizations.

Effect of superstructure-abutment continuity on live load distribution in integral abutment bridge girders

  • Dicleli, Murat;Erhan, Semih
    • Structural Engineering and Mechanics
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    • 제34권5호
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    • pp.635-662
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    • 2010
  • In this study, the effect of superstructure-abutment continuity on the distribution of live load effects among the girders of integral abutment bridges (IABs) is investigated. For this purpose, two and three dimensional finite element models of several single-span, symmetrical integral abutment and simply supported (jointed) bridges (SSBs) are built and analyzed. In the analyses, the effect of various superstructure properties such as span length, number of design lanes, girder size and spacing as well as slab thickness are considered. The results from the analyses of two and three dimensional finite element models are then used to calculate the live load distribution factors (LLDFs) for the girders of IABs and SSBs as a function of the above mentioned parameters. LLDFs for the girders are also calculated using the AASHTO formulae developed for SSBs. Comparison of the analyses results revealed that the superstructure-abutment continuity in IABs produces a better distribution of live load effects among the girders compared to SSBs. The continuity effects become more predominant for short span IABs. Furthermore, AASHTO live load distribution formulae developed for SSBs lead to conservative estimates of live load girder moments and shears for short-span IABs.

APPROXIMATION BY GENUINE LUPAŞ-BETA-STANCU OPERATORS

  • KUMAR, ALOK;VANDANA, VANDANA
    • Journal of applied mathematics & informatics
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    • 제36권1_2호
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    • pp.15-28
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    • 2018
  • In this paper, we introduce a Stancu type generalization of genuine LupaŞ-Beta operators of integral type. We establish some moment estimates and the direct results in terms of classical modulus of continuity, Voronovskaja-type asymptotic theorem, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function. Lastly, we propose a king type modification of these operators to obtain better estimates.

SOME GENERALIZATIONS OF WEAKLY M-SEMI-CONTINUOUS AND WEAKLY M-PRECONTINUOUS FUNCTIONS

  • Noiri, Takashi;Popa, Valeriu
    • 충청수학회지
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    • 제29권2호
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    • pp.229-253
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    • 2016
  • As a generalization of (i, j)-weakly m-continuous functions [43], we introduce the notion of weakly M(i, j)-continuous functions and obtain many characterizations and some properties of the functions. We show that the function is a unified form of some functions between m-spaces and certain kinds of weakly continuous functions in bitopological spaces.