• Honam Mathematical Journal
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• v.26 no.3
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• pp.331-339
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• 2004

The aim of this paper is to show the difference between the notion of digital continuity and that of computer continuity. More precisely, for digital images $(X,\;k_0){\subset}Z^{n_0}$ and $(Y,\;k_1){\subset}Z^{n_1}$, $if(k_0,\;k_1)=(3^{n_0}-1,\;3^{n_1}-1)$, then the equivalence between digital continuity and computer continuity is proved. Meanwhile, if $(k_0,\;k_1){\neq}(3^{n_0}-1,\;3^{n_1}-1)$, then the difference between them is shown in terms of the uniform continuity property.

• 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.

• Journal of the Korean Mathematical Society
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• v.45 no.4
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• pp.923-952
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• 2008

In this paper several continuities and homeomorphisms in computer topology are studied and their applications are investigated in relation to the classification of subs paces of Khalimsky n-dimensional space $({\mathbb{Z}}^n,\;T^n)$. Precisely, the notions of K-$(k_0,\;k_1)$-,$(k_0,\;k_1)$-,KD-$(k_0,\;k_1)$-continuities, and Khalimsky continuity as well as those of K-$(k_0,\;k_1)$-, $(k_0,\;k_1)$-, KD-$(k_0,\;k_1)$-homeomorphisms, and Khalimsky homeomorphism are studied and further, their applications are investigated.

• Bulletin of the Korean Mathematical Society
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• v.22 no.1
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• pp.17-22
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• 1985

B.M. Munshi and D.S. Bassan defined and developed the concept of super continuity in [5]. The concept has been investigated further by I. L. Reilly and M. K. Vamanamurthy in [6] where super continuity is characterized in terms of the semi-regularization topology. Super continuity is related to the concepts of .delta.-continuity and strong .theta.-continuity developed by T. Noiri in [7]. The purpose of this note is to derive relationships between super continuity and other strong continuity conditions and to develop additional properties of super continuous functions. Super continuity implies continuity, but the converse implication is false [5]. Super continuity is strictly between strong .theta.-continuity and .delta.-continuity and strictly between complete continuity and .delta.-continuity. The symbols X and Y will denote topological spaces with no separation axioms assumed unless explicity stated. The closure and interior of a subset U of a space X will be denoted by Cl(U) and Int(U) respectively and U is said to be regular open (resp. regular closed) if U=Int[Cl(U) (resp. U=Cl(Int(U)]. If necessary, a subscript will be added to denote the space in which the closure or interior is taken.

• 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 the Chungcheong Mathematical Society
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• v.31 no.1
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• pp.43-46
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• 2018

It is concerned with the continuity of the Hardy-Little wood maximal function between the classical Lebesgue spaces or the Orlicz spaces. A new approach to the continuity of the Hardy-Littlewood maximal function is presented through the observation that the continuity is closely related to the existence of solutions for a certain type of first order ordinary differential equations. It is applied to verify the continuity of the Hardy-Littlewood maximal function from $L^p({\mathbb{R}}^n)$ to $L^q({\mathbb{R}}^n)$ for 1 ${\leq}$ q < p < ${\infty}$.

• 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.

• Journal of Digital Convergence
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• v.13 no.9
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• pp.323-332
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• 2015

This paper examines the level of the primary care continuity for patients with high blood pressure and the effects of the primary care continuity on their convergence health outcomes. We conducted a retrospective cohort study. A total of 315,791 patients who had received new diagnoses of hypertension. We determined standard indices of continuity of care-MFPC, MMCI, and COC and evaluated their association with study outcomes over three years of follow-up. Outcome measures included hospitalization and emergency room visits. The result of the primary care continuity levels and hazard ratios of health outcome showed that, comparing continuity group, non-continuity group had higher rates of hospitalization by 1.655(95% CI: 1.547-1.771) and emergency room visits by 1.669(95% CI: 1.465-1.903). This paper argues that medical costs of chronic diseases will reduce if low continuity of care turns into high continuity of care.

• Honam Mathematical Journal
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• v.33 no.1
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• pp.85-91
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• 2011

We introduce and investigate the notions of super (g,g')-continuous functions and strongly $\theta$(g,g')-continuous functions on generalized topological spaces, which are strong forms of (g,g')-continuous functions. We also investigate relationships among such the functions, (g,g')-continuity and (${\delta},{\delta}'$)-continuity.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.1 no.1
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• pp.69-74
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• 2001

We introduce fuzzy semi-regular spaces. Furthermore, we investigate the relations among fuzzy super continuity, fuzzy $\delta$-continuity and fuzzy almost continuity in fuzzy topological spaces in view of the definition of Sostak. We study some properties between them.