• Korean Journal of Mathematics
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• v.27 no.4
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• pp.1005-1025
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• 2019

The paper is devoted to study local convergence of a continuation method under the assumption of majorant conditions. The method is used to approximate a zero of an operator in Banach space and is of third order. It is seen that the famous Kantorovich-type and Smale-type conditions are special cases of our majorant conditions. This infers that our result is a generalized one in comparison to results based on Kantorovich-type and Smale-type conditions. Finally a number of numerical examples have been computed to show applicability of the convergence analysis.

• Journal of applied mathematics & informatics
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• v.10 no.1_2
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• pp.1-15
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• 2002

In this paper an important stability property of the extremes under power normalizations is discussed. It is proved that the restricted convergence of the Power normalized extremes on an arbitrary nondegenerate interval implies the weak convergence. Moreover, this implication, in an important practical situation, is obtained when the sample size is considered as a random variable distributed geometrically with mean n.

• Convergence Security Journal
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• v.23 no.3
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• pp.83-91
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• 2023

The purpose of this study is to verify how much the education service quality related to physical security of security department students affects college life satisfaction and academic continuation decision. To this end, a survey was conducted from April 10 to 28, 2023 targeting 200 university students receiving physical security education at the university. The survey contents were composed by dividing the variables into "first, educational service quality, second, college life satisfaction and third, academic continuation decision," and based on this, 3 research hypotheses were selected. We calculated regression analysis to examine the study model. Analysis result, among the 3 research hypotheses, "Educational service quality ⇨ College life satisfaction, College life satisfaction ⇨ Academic continuation decision" was significantly calculated and adopted, but "Education service quality ⇨ Academic continuation decision" was found to be insignificant and rejected. According to the results of a survey conducted among students, it seems that students will have the academic continuation decision only when they are college life satisfaction.

• Journal of the Korea Convergence Society
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• v.9 no.8
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• pp.235-246
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• 2018

The purpose of this study was to verify the structural relationship between the participation behavior, excercise behavior, sport Image and exercise Continuation of the badminton club members, The results were as follows: First, the variables that affected the sport image for the item were fun among sub-factors of participation behavior, self-esteem and stress relief among sub-factors of exercise behaviors. Second, the sport image was affecting the exercise continuation. Finally, participation and Exercise behaviors indirectly affected the exercise continuation that through sport image. The results of this study proved that sport image plays an important role as a mediator in the relationship between participation behavior, exercise behavior, and exercise continuation, and it is meaningful to provide basic data on the role of the sport image.

• Journal of applied mathematics & informatics
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• v.20 no.1_2
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• pp.225-238
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• 2006

Generalized order statistics (gos) introduced by Kamps [8] as a unified approach to several models of order random variables (rv's), e.g., (ordinary) order statistics (oos), records, sequential order statistics (sos). In a wide subclass of gos, included oos and sos, the possible limit distribution functions (df's) of the maximum gos are obtained in Nasri-Roudsari [10]. In this paper, for this subclass, as the df of the suitably normalized extreme gos converges on an interval [c, d] to one of possible limit df's of the extreme gos, the continuation of this (weak) convergence on the whole real line to this limit df is proved.

• The Transactions of the Korean Institute of Electrical Engineers A
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• v.48 no.3
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• pp.190-196
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• 1999

Continuation power flow has been developed to remove the ill-condition problem caused by singularity of power flow Jacobian at and near at steady-state voltage instability point in conventional power flow. Continuation power flow consists of predictor and corrector. In prddictor, the direction vector at the resent solution is caluculated and the initial guess of next solution is determined at the distance of step length. The selection of step length is a very important part, since computational speed and convergence performance are both greatly affected by the choice of the step length. This paper presents the practical step length selection algorithm using the reactive power generation sensitivith. In numulation, the proposed algorithm is compared with step length selection algorithm using TVI(tangent vector index).

• Journal of Digital Convergence
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• v.14 no.9
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• pp.579-588
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• 2016

This study is to identify the relationship between cultural physical education class of enjoyment factor, class satisfaction, and exercise continuation behavior. For this purpose, 275 out of 300 copies of survey aimed at students in four universities located in Gyeong-gi province were used. PAWS 18.0 program was used for analysis to present descriptive statistics. Principal component analysis and rotation of Max Berry were used among exploratory factor analysis to check factor extraction and internal consistency. Cronbach's alpha was used for checking reliability. Multiple regression analysis was used to clarify the relationship between enjoyment factor, class satisfaction, and exercise continuation behavior of cultural physical education. These are the following conclusions. First, instructional behavior, grade in physical education, environment, and exercise ability among the enjoyment factors in cultural physical education class have a significant effect on persistence of exercise. Second, instructional behavior and grade in physical education are the factors of class satisfaction and the have a significant effect on persistence of exercise.

• Journal of applied mathematics & informatics
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• v.10 no.1_2
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• pp.41-50
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• 2002

We provide local and semilocal theorems for the convergence of Newton-like methods to a locally unique solution of an equation in a Banach space. The analytic property of the operator involved replaces the usual domain condition for Newton-like methods. In the case of the local results we show that the radius of convergence can be enlarged. A numerical example is given to justify our claim . This observation is important and finds applications in steplength selection in predictor-corrector continuation procedures.

• Journal of applied mathematics & informatics
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• v.6 no.3
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• pp.685-696
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• 1999

We present local and semilocal convergence results for New-ton's method in a Banach space setting. In particular using Lipschitz-type assumptions on the second Frechet-derivative we find results con-cerning the radius of convergence of Newton's method. Such results are useful in the context of predictor-corrector continuation procedures. Finally we provide numerical examples to show that our results can ap-ply where earlier ones using Lipschitz assumption on the first Frechet-derivative fail.

• Convergence Security Journal
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• v.14 no.6_1
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• pp.75-87
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• 2014

It may be meaningful that analysis of possible continuity and change of North Korea's Kim Jong-un's ruling in its third year. For this analysis, for the application more rational and statistical analysis methods, this study takes advantage of the new years' messages of Kim Il Sung, Kim Jong Il, and Kim Jong-un. In North Korea, the new years' messages are rare enough to give influence to every field of the North Korea's community and the New Year's message performs tutorial role throughout the whole year. The said messages of Il Sung, Kim Jong Il, and Kim Jong-un regimes have been researched and comprehensively summarized. The summarized New Year's Message by Kim Il Sung, Kim Jong Il, and Kim Jong Un are separated, compared and analyzed by the regime by presentation method, configured information, and others followed by New Year message's characteristics and implications of each North Korean regime that have been investigated. Based on the results of this analysis of Kim Jong-un era, possibility of its continuation and change is forecasted. Above all, for possible continuation of the ruling, sticking to the governing socialist way and military-first politics are presented. For possible causes of change, such the four factors as partial opening to overcome economic problems, the North Korean nuclear issue, influx of the nature of capitalism, and Kim Jung-un's control weakness have been presented. Such the factors of possible change and continuation of the North Korea Kim Jung-un ruling are expected to work as a combination of factors. The issue of continuation and change of North Korea Kim Jong-un's control is a key point for us to solve the issues between North and South Koreas. In the situation that the whole people of South Korea have a national consensus in the effort of gathering the public opinion, it is a high time that we needed to have much flexibility to actively cope with the North Korean issues.