• 호남수학학술지
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• 제26권3호
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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.

• 복식
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• 제58권2호
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• pp.15-33
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• 2008

Continuity and discontinuity is a relative concept, and there are various categories of the continuity and discontinuity in our circumference. Generally, characteristics of postmodernism including between the difference and the variety have being regarded as a discontinuity. Concept of the continuity includes between the quantitative continuity and the qualitative continuity qualitative continuity has organic characteristic, which encourages creating something permanently through the flowing of the time. Therefore, this thesis has studied like this complex social condition and various relationships expressed in modern fashion focusing on permanently creative movements and behaviors equal to the 'continuance' theory of Herni Bergson and 'continuity' theory of Jill Deleuze. This thesis classifies characteristics of the qualitative continuity into spatiotemporal and spatial continuity, and subdivides into 3 sets: perceptual continuity, spatial continuity, transferring continuity of physical experience, immaterial informational continuity, and fluid continuity with environment. Continuous viewpoint, which accepts the existing elements and allows them to flow liberally, should be present more appropriative thinking direction in explaining the complex situation expressed in the modern fashion, rather than discontinuous viewpoints focused on the only changing moment.

• Journal of applied mathematics & informatics
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• 제16권1_2호
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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.

• 대한수학회보
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• 제22권1호
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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.

• Korean Journal of Mathematics
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• 제6권2호
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• pp.323-329
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• 1998

In this paper, we introduce a new class of sets, called $m$-sets, and the notion of $m$-continuity. In particular, $m$-sets and $m$-continuity are used to extend known results for ${\alpha}$-continuity and semi-continuity and precontinuity.

• 대한수학회지
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• 제45권4호
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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.

• 보건행정학회지
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• 제19권2호
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• pp.51-70
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• 2009

Background : Previous studies have reported that enhanced continuity of care prevented a sudden worsening in progress among chronic disease patients, and as a result was favorable for efficient spending of health care funds. This study aims to estimate the continuity of care of Korean with diabetes and to identify factors affecting the continuity of care. Methods : This study used the Korean National Health Insurance Claims Database which includes E11 (ICD-10) as a primary or secondary disease as of 2006. Study population is 1,160,725 type 2 diabetics (20-84 years). Continuity of Care Index (COC), Modified, Modified Continuity Index (MMCI), and Most Frequent Provider Continuity (MFPC) were used as indexes of continuity of care. Results : The continuity of care in the study population was $0.94{\pm}0.10$ as calculated by MMCI, $0.91{\pm}0.16$ as calculated by MFPC and $0.86{\pm}0.23$ as calculated by COC. The lower continuity of care was shown in the patients who were female, 65 and over years old, Medical Aid recipients, 13 times or more visitors, hospital users as main attending medical institution, patients experienced hospitalizations or comorbidities. Conclusion : The continuity of care for adult patients with type 2 diabetes was high in Korea, and showed variation according to patients' characteristics. This result provides empirical evidence for policymakers to develop or strengthen programs for managing patients showing low continuity of care.

• Journal of Preventive Medicine and Public Health
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• 제40권1호
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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.

• 복식
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• 제58권1호
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• pp.116-132
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• 2008

Continuity and discontinuity is a relative concept, and there are various categories of the continuity and discontinuity in our circumference. In the thought of postmodernism of the late of 20th Century, continuous creations of the difference and the repetition have being regarded as a discontinuity. But, because of that catches the moment occurring qualitative skip though the flowing of the everlasting time, this has been known to a shortsighted viewpoint overlooking characteristic of the qualitative continuity of an organism, which have being created continuous formation for life through the flowing of the time. Therefore, this had studied like this complex social condition and various relationships expressed in modern fashion focusing on permanently creative movements and behaviors equal to the qualitative continuity. This Thesis is following study about continuity, and aims at understanding of those formative characteristics through consideration about characteristics of qualitative continuity. And, this analyzes formative characteristics of the qualitative continuity into 5 sets: enlargement, conversion, structural variability, mutual combination, and deconstruction. This thesis intends to grasp complex modern social phenomenon and modern fashion into qualitative continuity that means continuous formation and the change of various relationships according to recognition about the course toward open thinking.

• 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.