Voronoi cells via linear inequality systems

The theory and methods of linear algebra are a useful alternative to those of convex geometry in the framework of Voronoi cells and diagrams, which constitute basic tools of computational geometry. As shown by Voigt and Weis in 2010, the Voronoi cells of a given set of sites T, which provide a tesselation of the space called Voronoi diagram when T is finite, are solution sets of linear inequality systems indexed by T. This paper exploits systematically this fact in order to obtain geometrical information on Voronoi cells from sets associated with T (convex and conical hulls, tangent cones and the characteristic cones of their linear representations). The particular cases of T being a curve, a closed convex set and a discrete set are analyzed in detail. We also include conclusions on Voronoi diagrams of arbitrary sets.

The evolution of gender inequality in tourism employment in Spain

Evolución de la desigualdad por género del empleo turístico en España. Si bien la inversión en capital laboral femenino en la industria turística ha aumentado en los últimos años y parece que la discriminación en el acceso a puestos directivos ha descendido, se siguen produciendo diferentes situaciones de desigualdad. La mujer mantiene un salario por debajo del hombre y han aparecido nuevas formas de segregación ocupacional entre hombres y mujeres e incluso entre las propias mujeres: la división entre trabajo a tiempo parcial y completo es un buen ejemplo de este proceso. La hipótesis que se plantea este trabajo es que esa combinación entre tiempo de trabajo remunerado (ámbito público) y no remunerado (ámbito privado, doméstico) es un obstáculo que provoca el acceso de los varones a empleos hasta ahora "femeninos"; así mismo, se observará la calidad del empleo turístico desde la perspectiva de género.

Calmness of the Feasible Set Mapping for Linear Inequality Systems

In this paper we deal with parameterized linear inequality systems in the n-dimensional Euclidean space, whose coefficients depend continuosly on an index ranging in a compact Hausdorff space. The paper is developed in two different parametric settings: the one of only right-hand-side perturbations of the linear system, and that in which both sides of the system can be perturbed. Appealing to the backgrounds on the calmness property, and exploiting the specifics of the current linear structure, we derive different characterizations of the calmness of the feasible set mapping, and provide an operative expresion for the calmness modulus when confined to finite systems. In the paper, the role played by the Abadie constraint qualification in relation to calmness is clarified, and illustrated by different examples. We point out that this approach has the virtue of tackling the calmness property exclusively in terms of the system’s data.

Health inequality between immigrants and natives in Spain: the loss of the healthy immigrant effect in times of economic crisis

Background: The immigrant population living in Spain grew exponentially in the early 2000s but has been particularly affected by the economic crisis. This study aims to analyse health inequalities between immigrants born in middle- or low-income countries and natives in Spain, in 2006 and 2012, taking into account gender, year of arrival and socioeconomic exposures. Methods: Study of trends using two cross-sections, the 2006 and 2012 editions of the Spanish National Health Survey, including residents in Spain aged 15–64 years (20 810 natives and 2950 immigrants in 2006, 14 291 natives and 2448 immigrants in 2012). Fair/poor self-rated health, poor mental health (GHQ-12 > 2), chronic activity limitation and use of psychotropic drugs were compared between natives and immigrants who arrived in Spain before 2006, adjusting robust Poisson regression models for age and socioeconomic variables to obtain prevalence ratios (PR) and 95% confidence interval (CI). Results: Inequalities in poor self-rated health between immigrants and natives tend to increase among women (age-adjusted PR2006 = 1.39; 95% CI: 1.24–1.56, PR2012 = 1.56; 95% CI: 1.33–1.82). Among men, there is a new onset of inequalities in poor mental health (PR2006 = 1.10; 95% CI: 0.86–1.40, PR2012 = 1.34; 95% CI: 1.06–1.69) and an equalization of the previously lower use of psychotropic drugs (PR2006 = 0.22; 95% CI: 0.11–0.43, PR2012 = 1.20; 95% CI: 0.73–2.01). Conclusions: Between 2006 and 2012, immigrants who arrived in Spain before 2006 appeared to worsen their health status when compared with natives. The loss of the healthy immigrant effect in the context of a worse impact of the economic crisis on immigrants appears as potential explanation. Employment, social protection and re-universalization of healthcare would prevent further deterioration of immigrants’ health status.

Intimate partner violence among women in Spain: the impact of regional-level male unemployment and income inequality

Background: Intimate partner violence (IPV) against women is a complex worldwide public health problem. There is scarce research on the independent effect on IPV exerted by structural factors such as labour and economic policies, economic inequalities and gender inequality. Objective: To analyse the association, in Spain, between contextual variables of regional unemployment and income inequality and individual women’s likelihood of IPV, independently of the women’s characteristics. Method: We conducted multilevel logistic regression to analyse cross-sectional data from the 2011 Spanish Macrosurvey of Gender-based Violence which included 7898 adult women. The first level of analyses was the individual women’ characteristics and the second level was the region of residence. Results: Of the survey participants, 12.2% reported lifetime IPV. The region of residence accounted for 3.5% of the total variability in IPV prevalence. We determined a direct association between regional male long-term unemployment and IPV likelihood (P = 0.007) and between the Gini Index for the regional income inequality and IPV likelihood (P < 0.001). Women residing in a region with higher gender-based income discrimination are at a lower likelihood of IPV than those residing in a region with low gender-based income discrimination (odds ratio = 0.64, 95% confidence intervals: 0.55–0.75). Conclusions: Growing regional unemployment rates and income inequalities increase women’s likelihood of IPV. In times of economic downturn, like the current one in Spain, this association may translate into an increase in women’s vulnerability to IPV.

Will income inequality cause a middle-income trap in Asia? Bruegel Working Paper 2013/06, 10 October 2013

The Asian economy is expected to realise favourable growth during the first half of this century, but there is no guarantee. There is a discussion about a ‘middle-income trap’, which refers to a country that has realised rapid growth to become a middle-income country but is unable to grow further. A middle-income trap could occur not only if there is a delay in shifting the economy toward a productivity-driven structure, but also if there is a worsening of income distribution.We consider this in line with the theories of development economics and through a quantitative analysis. The relationship between income inequality and the trap can be explained by the Kuznets hypothesis and the basic-needs approach. Our quantitative analysis supports the Kuznets hypothesis, and indicates that,although a low-income country can accelerate its economic growth with the worsening of income distribution as an engine, a middle income country would experience a decreasing growth rate if it fails to narrow the income gap between the top and bottom income groups. The results also show that the basic-needs approach is also applicable in practice, and imply that the improvement of access to secondary education is important. A sensitivity analysis for three Asian upper-middle-income countries(China, Malaysia and Thailand) also shows that the situation related to a middle-income trap is worse than average in China and Malaysia. These two countries, according to the result of the sensitivity analysis, should urgently improve access to secondary education and should implement income redistribution measures to develop high-tech industries, before their demographic dividends expire. Income redistribution includes the narrowing of rural urban income disparities, benefits to low-income individuals, direct income transfers, vouchers or free provision of education and health-care, and so on, but none of these are simple to implement.

The role of cultural attributes in inequality. ACES Working Paper No. 1, 2008

This paper used cross country data in order to identify the variables that determine the inequality and poverty within countries. The main result is that culture differences have a significant role in the explanation of inequality and poverty differences between countries. Other interesting results are that globalization above a certain level contributes to inequality and poverty, and that inequality and poverty have an inverse U relation in relation to literacy.

Inequality in the Southern Mediterranean: A survey of selected countries. MEDPRO Technical Report No. 23/December 2012

This paper addresses the issues of current levels of inequality: their trends, determinants and future scenarios, demonstrating that welfare levels are measured by per capita consumption. Location, educational attainment and employment status have been identified as the key factors affecting levels of welfare and its distribution. A benefit incidence analysis was performed to investigate benefits of different deciles of per capita expenditure from education and health services. The inequality patterns in countries under investigation present significant variations; countries such as Turkey, Morocco and Tunisia show relatively high inequality while others, such as Egypt or Syria, show moderate to low inequality. Inequality in human development was addressed using the inequality-adjusted human development index (IHDI), introduced by Global HDR 2010. The average loss in the HDI due to inequality in all Arab countries under investigation is about 20%. Two reference scenarios (optimistic and pessimistic) were used to project future paths up to 2020 and 2030. The impact of positive growth is increasing inequality and a shrinking middle class. Results show that the rich benefit most from this growth path. The opposite trend is observed for the pessimistic scenario.

The Effects of Ultra-Loose Monetary Policies on Inequality. Bruegel Policy Contribution Issue 2015/09, June 2015

Highlights • Low interest rates, asset purchases and other accommodative monetary policy measures tend to increase asset prices and thereby benefit the wealthier segments of society, at least in the short-term, given that asset holdings are mainly concentrated among richest households. • Such policies also support employment, economic activity, incomes and inflation, which can benefit the poor and middle-class, which have incomes more dependent on employment and which tend to spend a large share of their income on debt service. • Monetary policy should focus on its mandate, while fiscal and social policies should address widening inequalities by revising the national social redistribution systems for improved efficiency, intergenerational equity and fair burden sharing between the wealthy and poor.

Wage inequality in Germany – What role does global trade play? Policy Brief #2015/03

Wage inequality in Germany has increased significantly since the mid-1990s. The intensification of international trade relations is a frequently cited cause for this issue. However, an empirical study revealed that global trade can only directly explain around 15 percent of the increase in wage inequality in Germany. Primarily, the growing heterogeneity among companies in Germany plays a greater role – especially within industries. The decline in collective bargaining is the primary company-specific driver of wage inequality. Nevertheless, protectionist measures would not be effective for achieving greater wage equality.

String quartets, [Vols. I-III] : Revised by Joseph Joachim & Andreas Moser /

Mode of access: Internet.

A code for designing optimal networks by implicit enumeration using the all-interconnection inequality formulation : (a programming manual for ILLODIE-AIF) /

Thesis (M.S.)--University of Illinois at Urbana-Champaign.

Friedrich Carl Freiherr v. Moser. Aus seinen Schriften sein Geist an das neunzehnte Jahrhundert.

Mode of access: Internet.