• The Mathematical Education
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• v.59 no.1
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• pp.1-15
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• 2020

In this paper, we analyzed curriculum materials on inequalities as regions. Constructs such as mathematical connections and curriculum articulation were used as a framework. As for articulation, our findings indicate the topic of inequalities as regions addresses meaningful subordinate mathematical thinking and skills that serve prerequisite to calculus. Regarding connections, mathematical concepts involving inequalities extend to multivariate calculus. One implication is, as an unintended consequence of curricular decision of 2015 Revised National Curriculum to teach the topic only in mathematical economics, students who plan to study STEM subjects in college but opt out of mathematics economics in high school may miss the key concept and naturally struggle to understand calculus especially the theory of multivariate function of calculus.

• Journal of the Korean Society of School Health
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• v.22 no.2
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• pp.25-36
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• 2009

Purpose: The purpose of this study was to estimate income-related health inequalities among adolescent population across regions in Korea. Methods: Data of 8,456 adolescents from 1998, 2001, 2005, 2007 Korean Health and Nutrition Examination Survey were used for the analysis. True health status was proxied by self-rated health and overweight status. Per capita income was computed from household monthly average income adjusted by consumer price with base year 2005. Adolescent health inequalities were estimated by Concentration Index (CI) across income and space. Results: Ill health score was related with age (p<0.0001), gender (p=0.0155) and income (p<0.0001). Negative relationship between income and ill-health indicated that higher income group tended to enjoy better health and less overweight. These evidences suggested ill health were accumulated on the economically disadvantaged adolescents. The size of health inequalities (ill-health score) were estimated as CI=-0.057 and CI=-0.030 across income groups and regions, respectively. Comparable measures of within region health disparities were also observed. Conclusion: Since health disparity among adolescent population was small compared to adult population, lessening adolescent health inequality could be a helpful way of mitigating health disparities in later stage. Considering life stage of adolescents, school system and local communities could play important roles toward adolescent health distribution. Although health disparity between regions existed, health disparity within a region should not be neglected.

• Health Policy and Management
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• v.30 no.1
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• pp.37-49
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• 2020

Background: Unmet healthcare needs have many advantages for measuring inequalities in healthcare use. However, the existing indicator is difficult to capture the reality of unmet healthcare needs sufficiently and is not quite appropriate in comparing regional inequality. The purpose of this study is to critically analyze the utilization of the unmet healthcare need indicator for regional healthcare inequalities research. Methods: We used the level of healthcare accessibility and healthcare need to categorize the regions that are known to cause differences in healthcare utilization between regions and verified how existing unmet healthcare need indicator is distributed at the regional level. Results: Four types of regions were classified according to the high and low levels of healthcare needs and accessibility. The hypothesis about the regional type expected to have the highest unmet healthcare need was not proved. The hypothesis about the lowest expected regional type was proved, but the difference in the average rate of unmet healthcare needs among regional types was not significant. The standard deviation of the rate of unmet healthcare needs among regions within the same type was also higher than the overall regional variation, which also disproved the whole frame of hypothesis. Conclusion: Failure to prove the hypothesis means the gap between the supposed meaning of the indicator and the reality. In order to understand the current state of healthcare utilization of people in various regions of Korea and to resolve inequality, fundamental research on the in-depth structure and mechanisms of healthcare utilization is needed.

• East Asian mathematical journal
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• v.21 no.1
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• pp.41-48
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• 2005

In this paper we first introduce a space of homogeneous type X, and then consider a kind of generalized upper half-space $X{\times}(0,\;\infty)$. We are mainly considered with inequalities for the $L^p$ norms of area functions associated with approach regions in $X{\times}(0,\;\infty)$.

• Bulletin of the Korean Mathematical Society
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• v.59 no.1
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• pp.45-72
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• 2022

In this work, we study Bernstein-Walsh-type estimations for the derivative of an arbitrary algebraic polynomial in regions with piecewise smooth boundary without cusps of the complex plane. Also, estimates are given on the whole complex plane.

• Health Policy and Management
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• v.28 no.3
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• pp.240-250
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• 2018

By the end of 2017, in a world of 7.6 billion people, there were inequalities in healthcare indices both within and between nations, and this gap continues to increase. Therefore, this study aims to understand the current status of regional inequalities in healthcare indices and to find an action plan to tackle regional health inequality through a geo-economic review in Korea. Since 2008, there was great inequality in life expectancy and healthy life expectancy by region in not only metropolitan cities but also districts in Korea. While the community health statistics from 2008-2017 show a continuous increase of inequality during the last 10 years in most healthcare indices related to noncommunicable diseases (except for some, like smoking), the inequality has doubled in 254 districts. Furthermore, health inequality intensified as the gap between urban (metropolitan cities) and rural regions (counties) for rates of obesity (self-reported), sufficient walking practices, and healthy lifestyle practices increased from twofold to fivefold. However, regionalism and uneven development are natural consequences of the spatial perspective caused by state-lead developmentalism as Korea has fixed the accumulation strategy as its model for growth with the background of export-led industrialization in the 1960s and heavy and chemical industrialization in the 1970s, although the Constitution of the Republic of Korea recognizes the legal value of balanced development within the regions by specifying "the balanced development of the state" or "ensuring the balanced development of all regions." In addition, the danger of a 30% decline or extinction of local government nationwide is expected by 2040 as we face not only a decline in general and ageing populations but also the era of the demographic cliff. Thus, the government should continuously operate the "Special Committee on Regional Balanced Development" with a government-wide effort until 2030 to prevent disparities in the health conditions of local residents, which is the responsibility of the nation in terms of strengthening governance. To address the regional inequalities of rural and urban regions, it is necessary to re-adjust the basic subsidy and cost-sharing rates with local governments of current national subsidies based mainly on population scale, financial independence of local government, or distribution of healthcare resources and healthcare indices (showing high inequalities) overall.

• Communications of the Korean Mathematical Society
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• v.17 no.1
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• pp.31-36
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• 2002

In this paper we first introduce a space of homogeneous type X, and we consider a kind of generalized upper half-space X $\times$ (0, $\infty$). We are mainly concerned with some inequalities in terms of Carleson measures or in terms of certain maximal operators with respect to general approach regions in X $\times$ (0, $\infty$). The main tool of the proof is the Whitney decomposition.

• Korean Journal of Community Nutrition
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• v.28 no.2
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• pp.124-140
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• 2023

Objectives: This study examined the changes in dietary habits, the prevalence of chronic diseases, and mental health problems in the regional areas of the Republic of Korea before and after the COVID-19 pandemic to provide evidence of the status of regional health inequalities. Methods: This study analyzed Korean adults aged 19 or older who participated in the Korea Community Health Survey (n = 686,708) and Consumer Behavior Survey for Foods (n = 19,109) from 2018 to 2020. The participants were classified according to their residence area (Seoul metropolitan area, Metropolitan cities, Provinces); 2018-2019 were defined as before COVID-19, and 2020 as after COVID-19. The dietary behaviors, chronic diseases, and mental health problems were measured using a self-report questionnaire. Results: After COVID-19, the eating-out usage rate in the Seoul metropolitan area and Provinces decreased compared to before COVID-19 (P < 0.001), and when responding that they eat out, the frequency of eating out with household members in the Seoul metropolitan area increased (P = 0.024). The deliveries/takeout usage rate in the Provinces decreased after COVID-19 compared to before (P < 0.001). After COVID-19, the prevalence of obesity decreased in all regions (P < 0.001), and the prevalence of hypertension increased significantly in the Provinces (P = 0.015). The prevalence of diabetes mellitus increased continuously before and after COVID-19 in all regions (P < 0.002). High-risk subjective stress levels increased significantly in the Seoul metropolitan area (P < 0.001), and sleep duration significantly increased in all regions (P < 0.001). Major depressive disorder was reduced significantly in Metropolitan cities (P = 0.042) and Provinces (P < 0.001). Conclusions: After the COVID-19 pandemic, the prevalence of chronic diseases and mental health problems showed regional differences along with changes in dietary habits. It is necessary to reflect the regional differences in dietary habits in future policies resolving regional health inequalities.

• Journal of the Korean Geographical Society
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• v.38 no.4
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• pp.562-574
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• 2003

This study examines the emerging global city-regions theory and suggests its implications for regional development policy in Korea. Global city-regions defined as an economic and political organization of metropolitan regions or a new scale of urban organization with polycentric structure, is appreciated as a new regionalist model of development in the globalization era. In Korea, the application of global city-regions model is required particularly for strengthening the international competitiveness of metropolitan areas except the capital region including Seoul, and resolving inequalities between the capital region and non-capital regions. However, Institutional revolution including consolidation of Shi(metropolitan area) and Do(province), and devolution should be preceded above all things to develop metropolitan cities such as Busan, Daegu, Gwangju, and Daejeon toward global city-regions.

• Journal of Advanced Navigation Technology
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• v.11 no.4
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• pp.447-453
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• 2007

In this letter, we derive the Gallager random coding bound for discrete memoryless channels purely by simple manipulations of algebraic inequalities rather than invoking conceptually difficult random coding arguments. Gallager random coding bound is a very useful tool in information and coding theory due to its applicability to situations in which it is difficult to determine the decision regions and due to the fact that it can be used to derive the channel coding theorem. The readers will find it relatively easy to apply to many practical problems of interest the step-by-step algebraic derivations of the Gallager random coding bound with appropriate modifications.