• Kyungpook Mathematical Journal
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• 제51권1호
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• pp.59-68
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• 2011

In this paper, we first give the definition of degenerate weakly ($k_1$, $k_2$-quasiregular mappings by using the technique of exterior power and exterior differential forms, and then, by using Hodge decomposition and Reverse H$\"{o}$lder inequality, we obtain the higher integrability result: for any $q_1$ satisfying 0 < $k_1({n \atop l})^{3/2}n^{l/2}\;{\times}\;2^{n+1}l\;{\times}\;100^{n^2}\;\[2^l(2^{n+3l}+1)\]\;(l-q_1)$ < 1 there exists an integrable exponent $p_1$ = $p_1$(n, l, $k_1$, $k_2$) > l, such that every degenerate weakly ($k_1$, $k_2$)-quasiregular mapping f ${\in}$ $W_{loc}^{1,q_1}$ (${\Omega}$, $R^n$) belongs to $W_{loc}^{1,p_1}$ (${\Omega}$, $R^m$), that is, f is a degenerate ($k_1$, $k_2$)-quasiregular mapping in the usual sense.

• Kyungpook Mathematical Journal
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• 제49권1호
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• pp.167-181
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• 2009

Based on Ricatti equation $XA^{-1}X=B$ for two (positive invertible) operators A and B which has the geometric mean $A{\sharp}B$ as its solution, we consider a cubic equation $X(A{\sharp}B)^{-1}X(A{\sharp}B)^{-1}X=C$ for A, B and C. The solution X = $(A{\sharp}B){\sharp}_{\frac{1}{3}}C$ is a candidate of the geometric mean of the three operators. However, this solution is not invariant under permutation unlike the geometric mean of two operators. To supply the lack of the property, we adopt a limiting process due to Ando-Li-Mathias. We define reasonable geometric means of k operators for all integers $k{\geq}2$ by induction. For three positive operators, in particular, we define the weighted geometric mean as an extension of that of two operators.

• Journal of Preventive Medicine and Public Health
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• 제53권4호
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• pp.266-274
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• 2020

Objectives: Describe out-of-pocket payment (OOP) and the proportion of Peruvian households with catastrophic health expenditure (CHE) and evaluate changes in socioeconomic inequalities in CHE between 2008 and 2017. Methods: We used data from the 2008 and 2017 National Household Surveys on Living and Poverty Conditions (ENAHO in Spanish), which are based on probabilistic stratified, multistage and independent sampling of areas. OOP was converted into constant dollars of 2017. A household with CHE was assumed when the proportion between OOP and payment capacity was ≥0.40. OOP was described by median and interquartile range while CHE was described by weighted proportions and 95% confidence intervals (CIs). To estimate the socioeconomic inequality in CHE we computed the Erreygers concentration index. Results: The median OOP reduced from 205.8 US dollars to 158.7 US dollars between 2008 and 2017. The proportion of CHE decreased from 4.9% (95% CI, 4.5 to 5.2) in 2008 to 3.7% (95% CI, 3.4 to 4.0) in 2017. Comparison of socioeconomic inequality of CHE showed no differences between 2008 and 2017, except for rural households in which CHE was less concentrated in richer households (p<0.05) and in households located on the rest of the coast, showing an increase in the concentration of CHE in richer households (p<0.05). Conclusions: Although OOP and CHE reduced between 2008 and 2017, there is still socioeconomic inequality in the burden of CHE across different subpopulations. To reverse this situation, access to health resources and health services should be promoted and guaranteed to all populations.

• 지적과 국토정보
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• 제50권2호
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• pp.133-153
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• 2020

우리나라의 공시지가 제도는 1989년 도입되어 각종 조세와 복지 등 여러 분야에 걸쳐 활용되어 왔다. 공시지가는 부동산의 보유세를 대표하는 재산세에 대한 과세평가액으로 활용되고 있으며, 국민 공평과세에 있어서 공시지가의 형평성은 가장 중요한 요소라고 할 수 있다. 이에 본 연구는 서울특별시의 토지의 실거래가격을 활용하여 2016~2018년 공시지가의 형평성을 분석하고 검증하였다. 그 결과 서울특별시의 현실화율은 해마다 점진적으로 상승하는 것으로 나타났으며, 3년 전체 현실화율은 60.64%로 나타났다. 수평적 형평성은 2017년이 가장 양호한 것으로 나타났으며, 해마다 자치구별 수평적 형평성이 개선되는 것으로 나타났다. 수직적 형평성은 대부분 지역에서 역진적 불형평성이 존재하는 것으로 나타났지만 강남구, 서초구, 강동구 등 강남권역에서 누진적 불형평성으로 나타나 자치구별 균형성 측면에서의 개선이 필요한 것으로 확인되었다. 분위 회귀분석 결과는 대부분 분위에서 역진적 불형평성이 나타났지만, 분위별 계수 값에 차이가 존재하여 공시지가 분위별 형평성 개선이 필요한 것으로 확인되었다. 공시지가 형평성 검증 결과 연도별, 자치구별, 용도지역별 형평성이 결여된 것으로 분석되었으며, 이를 보완하기 위해 정부는 비율 연구를 도입하여 수평적·수직적 형평성을 검증하고 부동산 공시 제도를 체계적으로 보완·점검해야 한다.

• 한국환경과학회지
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• 제15권10호
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• pp.919-928
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• 2006

The present study applied an atmospheric flow field model in Gwangyang-Bay which can predict local sea/land breezes formed in a complex terrain lot the development of a model that can predict short term concentration of air pollution. Estimated values from the conduct of the atmospheric flow field were used to evaluate and compare with observation data of the meteorological stations in Yeosu and the Yeosu airport, and the effect of micrometeorology of surround region by the coastal area reclamation was predicted by using the estimated values, Simulation results, a nighttime is appeared plainly land breezes of the Gwangyang-bay direction according to a mountain wind that formed in the Mt. of Baekwooun, Mt. of Youngchui. Land winds is formed clockwise circulation in the north, clockwise reverse direction in the south with Gangyang-bay as the center. Compared with model and observation value, Temperature is tend to appeared some highly simulation value in the night, observation value in the daytime in two sites all, but it is veil accorded generally, the pattern of one period can know very the similarity. And also, wind speed and wind direction is some appeared the error of observation value and calculation results in crossing time of the land wind and sea land, it can see that reproducibility is generally good, is very appeared the change land wind in the nighttime, the change of sea wind in the daytime. And also, according to change of the utilization coefficient of soil before and after development with Gwangyang-Bay area as the center. Temperature after development was high $0.55\sim0.67^{\circ}C$ in the 14 hoots, also was tend to appear lowly $0.10\sim0.22^{\circ}C$ in the 02 hours, the change of u, v component is comparatively tend to reduced sea wind and land wind, it is affected ascending air current and frictional power of the earth surface according to inequality heating of the generation of earth surface.