• International Journal of Fuzzy Logic and Intelligent Systems
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• v.2 no.2
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• pp.153-158
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• 2002

In this paper we introduce the concept of a fuzzy almost c-continuity and investigate some of its properties.

• Journal of applied mathematics & informatics
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• v.16 no.1_2
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• pp.445-452
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• 2004

In [8], Rosenfeld's digital ($k_0,\;k_1$)-continuity was introduced and another was also established in terms of the preservation of ${k_i}-connectedness,\;i\;{\in}\;\{0,\;1\}$ [2, 3]. In this paper a new version of digital ($k_0,\;k_1$)-continuity for images in $Z^n$ is referred, which is proved to be an extended version of the formers [2, 3, 8]. The current digital ($k_0,\;k_1$)-continuity is derived from the notion of n kinds of digital neighborhoods with some radius without any difficulties on the dimension and adjacency of an image in $Z^n$. The aim of this paper is to compare among Rosenfeld's digital continuity, the current digital continuity and Boxer's digital ($k_0,\;k_1$)-continuity.

• East Asian mathematical journal
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• v.39 no.2
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• pp.119-139
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• 2023

Most of calculus and real analysis are concerned with the study on continuous functions. Because of self-sustaining concept caused by everyday language, continuity has difficulties. This kind of viewpoint is strengthened with that teacher explains continuity by graph drawn ceaselessly and so finally confused with mathematics concept which is continuity and connection. Thus such a concept image of continuity becomes to include components which create conflicts. Therefore, we try to analyze understanding of continuity on university students by using the concept image as an analytic tool. We survey centering on problems which create conflicts with concept definition and image. And we investigate that difference of definition in continuous function which handles in calculus and analysis exists and so try to present various results on university students' understanding of continuity concept.

• Journal of Digital Convergence
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• v.16 no.11
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• pp.495-500
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• 2018

This study examined the factors that can enhance the continuity of user experience in multi - device environment. First of all, regarding the structural difference and continuity of tasks, functional differences such as OS difference according to the characteristics of cross media, use of mouse and touch gesture were found to interfere with continuity. To increase continuity, metaphor and ambience To increase relevance and visibility. In the continuity part of visual memory and cognition, familiarity was given by the identity and similarity of visual perception elements, and it was found that familiarity factors are closely related to continuity. Finally, for the continuity of the user experience, we can see that the visibility factors as well as the meaning and layout consistency of the information are factors for the continuity of the user experience. Based on this, it was found that familiarity, consistency, and correlation were significant influences on continuity dimension of user experience, but visibility did not have a significant effect on continuity when regression analysis was conducted as factors of familiarity, consistency, correlation and visibility.

• Journal of Preventive Medicine and Public Health
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• v.40 no.1
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• pp.51-58
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• 2007

Objectives : The objectives of this study were to estimate the continuity of care for all Koreans with diabetes and to identify factors affecting the continuity of care. Methods : We obtained National Health Insurance claims data for patients with diabetes who visited health-care providers during the year 2004. A total of 1,498,327 patients were included as study subjects. Most Frequent Provider Continuity (MFPC) and Modified, Modified Continuity Index (MMCI) were used as indexes of continuity of care. A multiple linear regression analysis was used to identify factors affecting continuity of care. Results : The average continuity of care in the entire population of 1,498,327 patients was $0.89{\pm}0.17$ as calculated by MFPC and $0.92{\pm}0.16$ by MMCI. In a multiple linear regression analysis, both MFPC and MMCI were lower for females than males, disabled than non-disabled, Medicaid beneficiaries than health insurance beneficiaries, patients with low monthly insurance contributions, patients in rural residential areas, and patients whose most frequently visited provider is the hospital. Conclusions : The continuity of care for patients with diabetes is high in Korea. However, women, the disabled and people of low socio-economic status have relatively low continuity of care. Therefore, our first priority is to promote a diabetes management program for these patients.

• Journal of Educational Research in Mathematics
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• v.27 no.4
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• pp.727-745
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• 2017

This study investigated the Aristotle's continuity and the historical development of continuity of function to explore the differences between the concepts of mathematics and students' thinking about continuity of functions. Aristotle, who sought the essence of continuity, characterized continuity as an 'indivisible unit as a whole.' Before the nineteenth century, mathematicians considered the continuity of functions based on space, and after the arithmetization of nineteenth century modern ${\epsilon}-{\delta}$ definition appeared. Some scholars thought the process was revolutionary. Students tended to think of the continuity of functions similar to that of Aristotle and mathematicians before the arithmetization, and it is inappropriate to regard students' conceptions simply as errors. This study on the continuity of functions examined that some conceptions which have been perceived as misconceptions of students could be viewed as paradigmatic thoughts rather than as errors.

• Health Policy and Management
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• v.29 no.3
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• pp.262-276
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• 2019

Background: The most important thing to strengthen primary care is to prove that the continuity of primary care is an essential area for good health outcomes. The purpose of this study is to analyze the effect of outpatient continuity of primary care on the hospitalization experience of diabetes mellitus in new diabetic patients. Methods: Using the Korean National Health Insurance Service national sample cohort (NHIS-NSC 2011-2015) data, 3,391 new diabetic patients in 2012 were selected for the study. Multiple logistic regression was performed to investigate the effect of outpatient continuity of primary care on hospitalization in new diabetic patients. Results: The outpatient continuity of primary care in new diabetic patients was measured by the continuity of care index, which showed that 69.4% (n=2,352) were high level and 30.6% (n=1,039) were low level. Patients who had high continuity of primary care at the early stage of diabetes diagnosis showed 3.49 times more likely to maintain high continuity of primary care in the second year (95% confidence interval [CI], 2.72-4.49). Patients with low continuity of primary care for 2 years from the initial diagnosis of diabetes were 2.56 times more likely to be hospitalized due to diabetes than those who did not (95% CI, 1.55-4.25). Conclusion: This study identified the need for policies to increase the continuity of primary care for new diabetic patients and could contribute to lowering the admission rate of diabetic patients if the policy for this would work effectively.

• Honam Mathematical Journal
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• v.42 no.2
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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.

• Journal of the Chungcheong Mathematical Society
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• v.25 no.3
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• pp.401-413
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• 2012

In the present paper we construct and introduce a new topology from an old one which are independent each of the other. The members of this topology are called ${\omega}_{\delta}$-open sets. We investigate some basic properties and their relationships with some other types of sets. Furthermore, a new characterization of regular and semi-regular spaces are obtained. Also, we introduce and study some new types of continuity, and we obtain decompositions of some types of continuity.

• Journal of Information Technology Services
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• v.10 no.4
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• pp.83-101
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• 2011

Since most of companies these days are utilizing the Information system actively, Information System is the most important factor which should be recovered in terms of Business Continuity. However, a lot of enterprises have been outsourcing their Disaster Recovery Center. Therefore, it is highly possible that the information system can not work well and result in the discontinuity of business when any trouble arises because of seperated plan of Business Continuity and Disaster Recovery. The study draws critical success factors for successful disaster recovery through researches of 42 documents. Then, factors are reviewed through interviews with consultants, experts of Business Continuity Plan and the information system officers of domestic banks. Domestic companies can make use of the study when they develop or renew Disaster Recovery Plan or Information System in terms of Business continuity.