• 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.

• Kyungpook Mathematical Journal
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• 제46권1호
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• pp.119-130
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• 2006

A new class of functions is introduced in this paper. This class is called almost ${\delta}$-precontinuity. This type of functions is seen to be strictly weaker than almost precontinuity. By using ${\delta}$-preopen sets, many characterizations and properties of the said type of functions are investigated.

• 호남수학학술지
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• 제42권2호
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• pp.251-268
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• 2020

In this paper, we estimate the degree of approximation by means of the complete modulus of continuity, the partial modulus of continuity, the Lipschitz-type class and Petree's K-functional for the bivariate Szász-Kantorovich operators based on Brenke-type polynomials. Later, we construct Generalized Boolean Sum operators associated with combinations of the Szász-Kantorovich operators based on Brenke-type polynomials. In addition, we obtain the rate of convergence for the GBS operators with the help of the mixed modulus of continuity and the Lipschitz class of the Bögel continuous functions.

• 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.

• Journal of applied mathematics & informatics
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• 제33권3_4호
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• pp.351-363
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• 2015

In this paper, we investigate existence of solutions to a class of quadratic integral equation of Fredholm type in the space of functions with tempered moduli of continuity. Two numerical examples are given to illustrate our results.

• 대한수학회논문집
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• 제26권2호
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• pp.305-320
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• 2011

The relations among various types of continuity of fuzzy proper function on a fuzzy set and at fuzzy point belonging to the fuzzy set in the context of $\v{S}$ostak's I-fuzzy topological spaces are discussed. The projection maps are defined as fuzzy proper functions and their properties are proved.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제17권2호
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• pp.145-150
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• 2010

In this paper, we introduce the concepts of faintly ${\gamma}$-continuity and extremely ${\gamma}$-closed graph. And we study characterizations of such functions and relationships between faintly ${\gamma}$-continuity and extremely ${\gamma}$-closed graph.

• 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.

• East Asian mathematical journal
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• 제35권2호
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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.

• Structural Engineering and Mechanics
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• 제17권6호
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• pp.767-788
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• 2004

The classical 8-node isoparametric serendipity element uses parametric shape functions for both test and trial functions. Although this element performs well in general, it yields poor results under severe mesh distortions. The distortion sensitivity is caused by the lack of continuity and/or completeness of shape functions used for test and trial functions. A recent element using parametric and metric shape functions for constructing the test and trial functions exhibits distortion immunity. This paper discusses the choice of parametric or metric shape functions as the basis for test and/or trial functions, satisfaction of continuity and completeness requirements, and their connection to distortion sensitivity. Also, the performances of four types of elements, viz., parametric, metric, parametric-metric, and metric-parametric, are compared for distorted meshes, and their merits and demerits are discussed.