Inequality, Environmental Protection and Growth
Marsiliani, L.; Renstrom, T.I.
2000-01-01
Why do Scandinavian countries perform better in terms of environmental protection than other European Union countries? In this paper, we explore the hypothesis that societies characterised by low income inequality (such as the nordic European countries) generate political-economic equilibria where e
Social inequalities and environmental conflict
Directory of Open Access Journals (Sweden)
David N. Pellow
2006-06-01
Full Text Available This paper is organized around two points. The first concerns the literature on environmental justice (EJ studies and its lack of incorporation of social scientific theories and concepts concerning racism. This is surprising, given EJ studies' strong interest in challenging a form of racism - environmental racism. This, in turn, allows for a critique of theories of racism for their lack of attention to the ways in which society-environment relations structure racist practices and discourses, and a critique of scholars who have understated the continuing impact of racism on communities of color. The second point concerns the degree to which modernization has led to an improvement in the environmental impacts associated with market economies and their production systems. Drawing on ecological modernization, risk society, and the treadmill of production theories, I argue that, as with popular and scholarly views on racism, many scholars have overstated the level of progress society has made on this front. I also argue that this is largely because - via practices such as environmental racism and globalization - many of the worst dimensions of the market economy's externalities are out of sight and out of mind (due largely to spatial and residential segregation and international hazardous waste exports, making it possible to either ignore or dismiss claims to the contrary.Este artigo está organizando em torno de duas questões. A primeira diz respeito à literatura sobre estudos a respeito da justiça ambiental e sua ausência de incorporação de teorias sociais e conceitos científicos que digam respeito ao racismo. Isso é surpreendente tendo em vista o forte interesse dos estudos sobre justiça ambiental em desafiar uma forma de racismo - o racismo ambiental. Isso, por sua vez, permite uma crítica das teorias sobre o racismo por sua falta de atenção às formas em que as relações sociedade-meio ambiente estruturam práticas e discursos
Eliazar, Iddo
2017-03-01
Inequality indices are widely applied in economics and in the social sciences as quantitative measures of the socioeconomic inequality of human societies. The application of inequality indices extends to size-distributions at large, where these indices can be used as general gauges of statistical heterogeneity. Moreover, as inequality indices are plentiful, arrays of such indices facilitate high-detail quantification of statistical heterogeneity. In this paper we elevate from arrays of inequality indices to inequality spectra: continuums of inequality indices that are parameterized by a single control parameter. We present a general methodology of constructing Lorenz-based inequality spectra, apply the general methodology to establish four sets of inequality spectra, investigate the properties of these sets, and show how these sets generalize known inequality gauges such as: the Gini index, the extended Gini index, the Rényi index, and hill curves.
DEFF Research Database (Denmark)
Niño-Zarazúa, Miguel; Roope, Laurence; Tarp, Finn
2016-01-01
This paper measures trends in global interpersonal inequality during 1975–2010 using data from the most recent version of the World Income Inequality Database (WIID). The picture that emerges using ‘absolute,’ and even ‘centrist’ measures of inequality, is very different from the results obtained...... using standard ‘relative’ inequality measures such as the Gini coefficient or Coefficient of Variation. Relative global inequality has declined substantially over the decades. In contrast, ‘absolute’ inequality, as captured by the Standard Deviation and Absolute Gini, has increased considerably...... and unabated. Like these ‘absolute’ measures, our ‘centrist’ inequality indicators, the Krtscha measure and an intermediate Gini, also register a pronounced increase in global inequality, albeit, in the case of the latter, with a decline during 2005 to 2010. A critical question posed by our findings is whether...
Visible inequality breeds more inequality
Gaechter, Simon
2015-01-01
Experiments suggest that when people can see wealth inequality in their social network, this propels further inequality through reduced cooperation and reduced social connectivity. News & Views comment on Nishi et al, Nature 526, 2015, p. 426-429.
Using Inequality Measures to Incorporate Environmental Justice into Regulatory Analyses
Directory of Open Access Journals (Sweden)
Jonathan I. Levy
2013-08-01
Full Text Available Formally evaluating how specific policy measures influence environmental justice is challenging, especially in the context of regulatory analyses in which quantitative comparisons are the norm. However, there is a large literature on developing and applying quantitative measures of health inequality in other settings, and these measures may be applicable to environmental regulatory analyses. In this paper, we provide information to assist policy decision makers in determining the viability of using measures of health inequality in the context of environmental regulatory analyses. We conclude that quantification of the distribution of inequalities in health outcomes across social groups of concern, considering both within-group and between-group comparisons, would be consistent with both the structure of regulatory analysis and the core definition of environmental justice. Appropriate application of inequality indicators requires thorough characterization of the baseline distribution of exposures and risks, leveraging data generally available within regulatory analyses. Multiple inequality indicators may be applicable to regulatory analyses, and the choice among indicators should be based on explicit value judgments regarding the dimensions of environmental justice of greatest interest.
Inequality and Trust: Testing a Mediating Relationship for Environmental Sustainability
Directory of Open Access Journals (Sweden)
Eric Kemp-Benedict
2013-02-01
Full Text Available Instrumental arguments linking inequality to environmental sustainability often suppose a negative relationship between inequality and social cohesion. While social cohesion is difficult to measure, there are measures of a narrower concept, social trust, and empirical studies have shown that social trust is negatively related to inequality. In this paper we test whether at least part of the observed relationship may be explained by income level, rather than income distribution. We use individual response data from the World Values Survey at the income decile level, and find evidence that income level is indeed important in explaining differences in levels of social trust, but it is insufficient to explain all of the dependence. In the sample used for the study, we find that both income level and income distribution help explain differences in social trust between countries.
Zhan, Xingzhi
2002-01-01
The main purpose of this monograph is to report on recent developments in the field of matrix inequalities, with emphasis on useful techniques and ingenious ideas. Among other results this book contains the affirmative solutions of eight conjectures. Many theorems unify or sharpen previous inequalities. The author's aim is to streamline the ideas in the literature. The book can be read by research workers, graduate students and advanced undergraduates.
Eliazar, Iddo
2016-07-01
The study of socioeconomic inequality is of substantial importance, scientific and general alike. The graphic visualization of inequality is commonly conveyed by Lorenz curves. While Lorenz curves are a highly effective statistical tool for quantifying the distribution of wealth in human societies, they are less effective a tool for the visual depiction of socioeconomic inequality. This paper introduces an alternative to Lorenz curves-the hill curves. On the one hand, the hill curves are a potent scientific tool: they provide detailed scans of the rich-poor gaps in human societies under consideration, and are capable of accommodating infinitely many degrees of freedom. On the other hand, the hill curves are a powerful infographic tool: they visualize inequality in a most vivid and tangible way, with no quantitative skills that are required in order to grasp the visualization. The application of hill curves extends far beyond socioeconomic inequality. Indeed, the hill curves are highly effective 'hyperspectral' measures of statistical variability that are applicable in the context of size distributions at large. This paper establishes the notion of hill curves, analyzes them, and describes their application in the context of general size distributions.
DEFF Research Database (Denmark)
Diderichsen, Finn
2016-01-01
Social investment policy has become a central response to the demographic and economic challenges facing European welfare states. This focus on investment in human capabilities and their efficient use is, however, challenged by health inequalities where education, health and employment...... are increasingly linked. This paper outlines the main principles of social investment policies (learning, activation and protection) and links them to a conceptual model of health inequalities and the policy entry-points tackling them by addressing the processes of social stratification, differential exposure...... investments in health so as to enable social investments to tackle the health divide....
DEFF Research Database (Denmark)
Diderichsen, Finn
2016-01-01
Social investment policy has become a central response to the demographic and economic challenges facing European welfare states. This focus on investment in human capabilities and their efficient use is, however, challenged by health inequalities where education, health and employment...... are increasingly linked. This paper outlines the main principles of social investment policies (learning, activation and protection) and links them to a conceptual model of health inequalities and the policy entry-points tackling them by addressing the processes of social stratification, differential exposure...... investments in health so as to enable social investments to tackle the health divide....
DEFF Research Database (Denmark)
Mandersheid, Katharina; Richardson, Tim
2011-01-01
While traces and techniques of power and contestation around the understanding and production of spaces are clearly recognized in the sociological and planning research literature, there has been little rigorous attention to how socio-spatial inequality is put at stake in strategic mobilization...... around particular spatial imaginaries. In an analysis of the German Spatial Planning Report, the paper examines how inequalities are represented in relation to space and movement in spatial strategy. The analysis shows how, in the report, the spatial dimension of the social is represented...... as a territorial container, in which the social merges into regional and national entities. Correspondingly, movement is only interpreted as a derived demand, ignoring its integrative aspect as precondition of participation and part of network capital. On the other hand, the spatiality of the economy...
Eliazar, Iddo
2016-09-01
Living in the era of "big-data" information, we are ubiquitously inundated by overabundances of sizes-non-negative numerical values representing count, score, length, area, volume, duration, mass, energy, etc. Datasets of sizes display numerous types of statistical variability that are commonly quantified either by the standard deviation, or by the Boltzmann-Gibbs-Shannon entropy. The standard deviation measures the sizes' Euclidean divergence from their mean, the Boltzmann-Gibbs-Shannon entropy measures the sizes' informational divergence from the benchmark of pure determinism, and both these gauges are one-dimensional. In this paper we overview a methodology that harnesses inequality in order to quantify statistical variability. The methodology follows a socioeconomic approach of measuring the sizes' inequality-their divergence from the benchmark of pure egalitarianism-and yields frameworks that gauge statistical variability in a multi-dimensional fashion. The aim of this overview is to serve both researchers and practitioners as a crash-introduction to the "harnessing inequality" methodology, and as a crash-manual to the implementation of this methodology.
Directory of Open Access Journals (Sweden)
Raquel Sosa Elízaga
2012-07-01
Full Text Available The global sociology currently faces one of its greatest challenges: to contribute to the debate about the most serious problem which all societies have faced in recent years. The rising inequality has led to many initiatives for reflection, discussion and evaluation of public policies in order to combat poverty. Particularly, the fact that the Millennium Goals are supposed to accomplish their significance by 2015 provides the International Sociological Association (ISA the unique opportunity to contribute to those goals through their own analyses and proposals. Over many years, the ISA has promoted the integrated debate of its members on issues related to inequalities: from different perspectives such as education, health, social movements, public policies, gender problems and violence, among others. The overlapping and accumulation of inequalities has been, so to speak, the natural environment from which the ISA can take part in this international debate. This article identifies the work lines approved in the Association Program Committee Meeting held in Mexico in 2011, in the process of theAssociation’s Congress in Yokohama in 2014.
Oral Health Inequalities: Relationships between Environmental and Individual Factors.
Gupta, E; Robinson, P G; Marya, C M; Baker, S R
2015-10-01
Recent research has emphasized the relationships between environmental and individual factors that may influence population oral health and lead to health inequalities. However, little is known about the effect of interactions between environmental and individual factors on inequalities in clinical (e.g., decayed teeth) and subjective oral health outcomes (e.g., oral health-related quality of life [OHQoL]). This cohort study aimed to explore the direct and mediated longitudinal interrelationships between key environmental and individual factors on clinical and subjective oral health outcomes in adults. Self-reported measures of OHQoL and individual (sense of coherence [SOC], social support, stress, oral health beliefs, dental behaviors, and subjective socioeconomic status [SES]) and environmental factors (SES and social network) were collected at baseline and 3-mo follow-up, together with a baseline clinical examination of 495 adult employees of an automobile parts manufacturer in India. Lagged structural equation modeling was guided by the adapted Wilson and Cleary/Brunner and Marmot model linking clinical, individual, and environmental variables to quality of life. The study provides tentative evidence that SES may influence levels of resources such as social support and SOC, which mediate stress and in turn may influence subjective oral health outcomes. Accordingly, the present findings and the adapted Wilson and Cleary/Brunner and Marmot model on which they are predicted provide support for the psychosocial pathway being key in the SES-oral health relationship. The pathways through which environmental factors interact with individual factors to impact subjective oral health outcomes identified here may bring opportunities for more targeted oral health promotion strategies.
Hooghiemstra, G.; Van Mieghem, P.
2015-01-01
In this article Gerard Hooghiemstra and Piet van Mieghem explain why the Gauss inequality is overshadowed by the Chebychev inequality. Furthermore, they present a proof of the Gauss inequality in modern notation.
Moslehian, Mohammad Sal
2011-01-01
There are several inequalities in the literature carrying the name of Ky Fan. We survey these well-known Ky Fan inequalities and some other significant inequalities generalized by Ky Fan and review some of their recent developments.
Hooghiemstra, G.; Van Mieghem, P.
2015-01-01
In this article Gerard Hooghiemstra and Piet van Mieghem explain why the Gauss inequality is overshadowed by the Chebychev inequality. Furthermore, they present a proof of the Gauss inequality in modern notation.
Assessing environmental inequalities in ambient air pollution across urban Australia.
Knibbs, Luke D; Barnett, Adrian G
2015-04-01
Identifying inequalities in air pollution levels across population groups can help address environmental justice concerns. We were interested in assessing these inequalities across major urban areas in Australia. We used a land-use regression model to predict ambient nitrogen dioxide (NO2) levels and sought the best socio-economic and population predictor variables. We used a generalised least squares model that accounted for spatial correlation in NO2 levels to examine the associations between the variables. We found that the best model included the index of economic resources (IER) score as a non-linear variable and the percentage of non-Indigenous persons as a linear variable. NO2 levels decreased with increasing IER scores (higher scores indicate less disadvantage) in almost all major urban areas, and NO2 also decreased slightly as the percentage of non-Indigenous persons increased. However, the magnitude of differences in NO2 levels was small and may not translate into substantive differences in health.
DEFF Research Database (Denmark)
Mandersheid, Katharina; Richardson, Tim
2011-01-01
around particular spatial imaginaries. In an analysis of the German Spatial Planning Report, the paper examines how inequalities are represented in relation to space and movement in spatial strategy. The analysis shows how, in the report, the spatial dimension of the social is represented...... as a territorial container, in which the social merges into regional and national entities. Correspondingly, movement is only interpreted as a derived demand, ignoring its integrative aspect as precondition of participation and part of network capital. On the other hand, the spatiality of the economy...
Reconciling consumption inequality with income inequality
V. Lepetyuk; C.A. Stoltenberg
2012-01-01
The rise in consumption inequality in response to the increase in income inequality over the last three decades in the U.S. is puzzling to expected-utility-based incomplete market models. The two-sided lack of commitment models exhibit too little consumption inequality while the standard incomplete
Reconciling consumption inequality with income inequality
Lepetyuk, V.; Stoltenberg, C.A.
2013-01-01
The rise in within-group consumption inequality in response to the increase in within-group income inequality over the last three decades in the U.S. is puzzling to expected-utility-based incomplete market models. The two-sided lack of commitment models exhibit too little consumption inequality whil
Energy paths and political commitments: Their roles in environmental inequality
Ong, Corinne
Decentralized renewable energy procurement has gained traction in recent years for its potential to alleviate rural energy poverty and environmental degradation in developing countries. Hence, this study investigates if deploying renewable energy can mitigate rural energy poverty in developing countries as often claimed. Because any energy regime cannot be initiated or sustained without the conviction of local political leaders, the study also evaluates the extent to which government investments in the development of renewable energy technologies and the energy sector, affect the environmental quality (i.e. greenhouse gas emissions) of developing countries. Energetic theory and environmental inequality constitute the key conceptual premises guiding this study. Ordinary least squares regression is utilized to analyze the relationship between key variables. The results reveal that as of 2010, use of renewable energy can indeed support rural electrification. Higher GNI per capita and use of conventional fuels are also positively related to rural electrification, all else equal. As for environmental degradation in 2005 and 2008, R&D; investments actually tend to increase GHG emissions; procuring energy from either renewable or non-renewable sources is however, found to be environmentally detrimental, net of all other variables. Finally, some evidence is found for the role of aid funds and multilateral debt in abating GHG emissions.
Environmental externality and inequality in China: current status and future choices.
Zhao, Xiaoli; Zhang, Sufang; Fan, Chunyang
2014-07-01
Along with China's rapid economic growth, the environmental externality in the country is getting more and more serious. China's environmental externality is accompanied by environmental inequality, which presents two characteristics: First, the health loss caused by environmental externality is concentrated in the elderly and children. We take Beijing as an empirical analysis to conclude that children (0-4 years old) are the largest group suffered from respiratory disease; while the seniors are the largest group suffered from cardiovascular disease. Second, China's environmental inequality is mainly caused by the transfer of industries from urban to rural areas/suburbs. The villagers in poor rural areas are the biggest victims. China's environmental inequality is reflected particularly by the phenomenon of "cancer villages" which has existed ever since the end of 1970s. Finally, policy recommendations are provided for reducing China's environmental externality and inequality.
DEFF Research Database (Denmark)
Nielsen, Morten Ebbe Juul; Landes, Xavier
2016-01-01
Status inequalities seem to play a fairly big role in creating inequalities in health. This article assumes that there can be good reasons to fight status inequalities in order to reduce inequalities in health. It examines whether the neorepublican ideal of non-dominance does a better job...
Directory of Open Access Journals (Sweden)
Anna Maria D'Aristotile
2006-08-01
Full Text Available We consider sets of inequalities in Real Analysis and construct a topology such that inequalities usually called "limit cases" of certain sequences of inequalities are in fact limits - in the precise topological sense - of such sequences. To show the generality of the results, several examples are given for the notions introduced, and three main examples are considered: Sequences of inequalities relating real numbers, sequences of classical Hardy's inequalities, and sequences of embedding inequalities for fractional Sobolev spaces. All examples are considered along with their limit cases, and it is shown how they can be considered as sequences of one "big" space of inequalities. As a byproduct, we show how an abstract process to derive inequalities among homogeneous operators can be a tool for proving inequalities. Finally, we give some tools to compute limits of sequences of inequalities in the topology introduced, and we exhibit new applications.
Lay perceptions of health and environmental inequalities and their associations to mental health
Maria Luisa Lima; Rita Morais
2015-01-01
Abstract Health inequalities are very well documented in epidemiological research: rich people live longer and have fewer diseases than poor people. Recently, a growing amount of evidence from environmental sciences confirms that poor people are also more exposed to pollution and other environmental threats. However, research in the social sciences has shown a broad lack of awareness about health inequalities. In this paper, based on data collected in Portugal, we will analyze the consciousne...
Moment Inequality and Holder Inequality for BSDEs
Institute of Scientific and Technical Information of China (English)
Sheng-jun Fan
2009-01-01
Under the Lipschitz and square integrable assumptions on the generator g of BSDEs,this paper proves that if g is positively homogeneous in(y,z)and is decreasing in y,then the Moment inequality for BSDEs with generator g holds in general,and if g is positively homogeneous and sub-additive in(y,z),then the Holder inequality and Minkowski inequality for BSDEs with generator g hold in general.
Frohlich, Katherine L; Abel, Thomas
2014-02-01
While empirical evidence continues to show that people living in low socio-economic status neighbourhoods are less likely to engage in health-enhancing behaviour, our understanding of why this is so remains less than clear. We suggest that two changes could take place to move from description to understanding in this field; (i) a move away from the established concept of individual health behaviour to a contextualised understanding of health practices; and (ii) a switch from focusing on health inequalities in outcomes to health inequities in conditions. We apply Pierre Bourdieu's theory on capital interaction but find it insufficient with regard to the role of agency for structural change. We therefore introduce Amartya Sen's capability approach as a useful link between capital interaction theory and action to reduce social inequities in health-related practices. Sen's capability theory also elucidates the importance of discussing unequal chances in terms of inequity, rather than inequality, in order to underscore the moral nature of inequalities. We draw on the discussion in social geography on environmental injustice, which also underscores the moral nature of the spatial distribution of opportunities. The article ends by applying this approach to the 'Interdisciplinary study of inequalities in smoking' framework.
Schuppert, Fabian; Wallimann-Helmer, Ivo
2014-01-01
The aim of this paper is to link empirical findings concerning environmental inequalities with different normative yard-sticks for assessing whether these inequalities should be deemed unjust, or not. We argue that such an inquiry must necessarily take into account some caveats regarding both empirical research and normative theory. We suggest that empirical results must be contextualised by establishing geographies of risk. As a normative yard-stick we propose a moderately demanding social-e...
Mills, Melinda
2009-01-01
Globalization is increasingly linked to inequality, but with often divergent and polarized findings. Some researchers show that globalization accentuates inequality both within and between countries. Others maintain that these claims are patently incorrect, arguing that globalization has disintegrat
Immigration and income inequality
DEFF Research Database (Denmark)
Deding, Mette; Hussain, Azhar; Jakobsen, Vibeke
2010-01-01
During the last two decades most Western countries have experienced increased net immigration as well as increased income inequality. This article analyzes the effects on income inequality of an increased number of immigrants in Denmark and Germany for the 20- year period 1984-2003 and how...... the impact of the increased number of immigrants differs between the two countries. We find higher inequality for immigrants than natives in Denmark but vice versa for Germany. Over the period 1984-2003, this particular inequality gap has narrowed in both countries. At the same time, the contribution...... of immigrants to overall inequality has increased, primarily caused by increased between-group inequality. The share of immigrants in the population is more important for the change in overall inequality in Denmark than in Germany, while the opposite is the case for inequality among immigrants....
The Popularization of an Inequality
Institute of Scientific and Technical Information of China (English)
侯林波
2012-01-01
Cauchy inequality is an important one in the inequal-ity theory , the inequality is beautiful, perfect and symmetrical, with a broad theoretical and practical application value. We will use the Cauchy inequality to prove an example in the colleges for nationality preparatory text, so we will have an inequality problems promotion, some more widely the results.
Clark, Lara P; Millet, Dylan B; Marshall, Julian D
2014-01-01
We describe spatial patterns in environmental injustice and inequality for residential outdoor nitrogen dioxide (NO2) concentrations in the contiguous United States. Our approach employs Census demographic data and a recently published high-resolution dataset of outdoor NO2 concentrations. Nationally, population-weighted mean NO2 concentrations are 4.6 ppb (38%, penvironmental health implications of that concentration disparity are compelling. For example, we estimate that reducing nonwhites' NO2 concentrations to levels experienced by whites would reduce Ischemic Heart Disease (IHD) mortality by ∼7,000 deaths per year, which is equivalent to 16 million people increasing their physical activity level from inactive (0 hours/week of physical activity) to sufficiently active (>2.5 hours/week of physical activity). Inequality for NO2 concentration is greater than inequality for income (Atkinson Index: 0.11 versus 0.08). Low-income nonwhite young children and elderly people are disproportionately exposed to residential outdoor NO2. Our findings establish a national context for previous work that has documented air pollution environmental injustice and inequality within individual US metropolitan areas and regions. Results given here can aid policy-makers in identifying locations with high environmental injustice and inequality. For example, states with both high injustice and high inequality (top quintile) for outdoor residential NO2 include New York, Michigan, and Wisconsin.
Directory of Open Access Journals (Sweden)
Lara P Clark
Full Text Available We describe spatial patterns in environmental injustice and inequality for residential outdoor nitrogen dioxide (NO2 concentrations in the contiguous United States. Our approach employs Census demographic data and a recently published high-resolution dataset of outdoor NO2 concentrations. Nationally, population-weighted mean NO2 concentrations are 4.6 ppb (38%, p2.5 hours/week of physical activity. Inequality for NO2 concentration is greater than inequality for income (Atkinson Index: 0.11 versus 0.08. Low-income nonwhite young children and elderly people are disproportionately exposed to residential outdoor NO2. Our findings establish a national context for previous work that has documented air pollution environmental injustice and inequality within individual US metropolitan areas and regions. Results given here can aid policy-makers in identifying locations with high environmental injustice and inequality. For example, states with both high injustice and high inequality (top quintile for outdoor residential NO2 include New York, Michigan, and Wisconsin.
Clark, Lara P.; Millet, Dylan B.; Marshall, Julian D.
2014-01-01
We describe spatial patterns in environmental injustice and inequality for residential outdoor nitrogen dioxide (NO2) concentrations in the contiguous United States. Our approach employs Census demographic data and a recently published high-resolution dataset of outdoor NO2 concentrations. Nationally, population-weighted mean NO2 concentrations are 4.6 ppb (38%, p2.5 hours/week of physical activity). Inequality for NO2 concentration is greater than inequality for income (Atkinson Index: 0.11 versus 0.08). Low-income nonwhite young children and elderly people are disproportionately exposed to residential outdoor NO2. Our findings establish a national context for previous work that has documented air pollution environmental injustice and inequality within individual US metropolitan areas and regions. Results given here can aid policy-makers in identifying locations with high environmental injustice and inequality. For example, states with both high injustice and high inequality (top quintile) for outdoor residential NO2 include New York, Michigan, and Wisconsin. PMID:24736569
Directory of Open Access Journals (Sweden)
Syeda Anam Hassan
2015-06-01
Full Text Available It is important to recognize that increase in well-being is no longer dependent on further economic growth, but on economic and social well-being, which means that the decline in carbon dioxide emission without reducing real wellbeing and growth. The aim of this study is to investigate the main driving forces affecting short and long-run carbon emissions pattern due to changes in growth, inequality and poverty triangle in Pakistan over the period 1980 – 2011 by using multivariate cointegration approach. This study uses five different models i.e., each model have an important policy implication in the context of Pakistan. The results indicate that, on the short run, there is a significant negative relationship between economic growth & carbon emissions and economic growth & poverty while there is a positive relationship between i economic growth & income inequality; and ii poverty & income inequality. On the long-run, there is a significant positive relationship between GDP & income inequality, carbon dioxide emissions & income inequality, and poverty & income inequality in Pakistan. On the other side, there is a negative relationship between carbon emissions & economic growth, carbon emissions & income inequality, and economic growth & income inequality. The results of environmental Kuznets curve (EKC hypothesis show an inverted U-shaped trajectory in relation to economic growth in Pakistan. This study contributes to the debate on the existence and policy relevance of the EKC for Pakistan. The conclusion ensures the sustainability of an urgent need to look beyond the EKC by adopting courageous policy measures of environmental preservation in Pakistan irrespective of the country's level of income. For reduction of CO2 emission, environmental progressive management policies, economic transport system regulations, and low emit fuel consumption by industries are the need of the world.
Graphing Inequalities, Connecting Meaning
Switzer, J. Matt
2014-01-01
Students often have difficulty with graphing inequalities (see Filloy, Rojano, and Rubio 2002; Drijvers 2002), and J. Matt Switzer's students were no exception. Although students can produce graphs for simple inequalities, they often struggle when the format of the inequality is unfamiliar. Even when producing a correct graph of an…
Inequality, Tolerance, and Growth
DEFF Research Database (Denmark)
Bjørnskov, Christian
This paper argues for the importance of individuals' tolerance of inequality for economic growth. By using the political ideology of governments as a measure of revealed tolerance of inequality, the paper shows that controlling for ideology improves the accuracy with which the effects of inequality...
Inequality, Tolerance, and Growth
DEFF Research Database (Denmark)
Bjørnskov, Christian
2004-01-01
This paper argues for the importance of individuals' tolerance of inequality for economic growth. By using the political ideology of governments as a measure of revealed tolerance of inequality, the paper shows that controlling for ideology improves the accuracy with which the effects of inequality...... are measured. Results show that inequality reduces growth but more so in societies where people perceive it as being relatively unfair. Further results indicate that legal quality and social trust are likely transmission channels for the effects of inequality....
Urban forest and environmental inequality in Campos dos Goytacazes, Rio de Janeiro, Brazil
DEFF Research Database (Denmark)
Silva, Victor; Pedlowski, Marcos; Heynen, Nikolas
2002-01-01
Social and spatial inequality regarding environmental resources and services is one of most complex issues affecting contemporary urban life. The objective of this research is to study the spatial distribution of trees in public areas in Campos dos Goytacazes, Rio de Janeiro, Brazil. This researc...... and education levels of the population seem to play a more causal on tree quantity and species diversity. This inequality stresses a problem with environmental justice, a characteristic of Brazilian cities intrinsically connected to urban sustainability.......Social and spatial inequality regarding environmental resources and services is one of most complex issues affecting contemporary urban life. The objective of this research is to study the spatial distribution of trees in public areas in Campos dos Goytacazes, Rio de Janeiro, Brazil. This research...
Integral inequalities similar to Gronwall inequality
Directory of Open Access Journals (Sweden)
Hassane Khellaf
2007-12-01
Full Text Available In the present paper, we establish some nonlinear integral inequalities for functions of one variable, with a further generalization functions with n independent variables. We apply our results to a system of nonlinear differential equations for functions of one variable and to the nonlinear hyperbolic partial integrodifferential equation in $n$-independent variables. These results extend the Gronwall type inequalities obtained by Pachpatte [6] and Oguntuase [5].
Directory of Open Access Journals (Sweden)
F. M. Dannan
2016-12-01
Full Text Available In 2016 Prof. Fozi M. Dannan from Damascus, Syria, proposed an interesting inequality for three positive numbers with unit product. It became widely known but was not proved yet in spite of elementary formulation. In this paper we prove this inequality together with similar ones, its proof occurred to be rather complicated. We propose some proofs based on different ideas: Lagrange multipliers method, geometrical considerations, Klamkin–type inequalities for symmetric functions, usage of symmetric reduction functions of computer packages. Also some corollaries and generalizations are considered, they include cycle inequalities, triangle geometric inequalities, inequalities for arbitrary number of values and special forms of restrictions on numbers, applications to cubic equations and symmetric functions.
Busse, Matthias; Spielmann, Christian
2005-01-01
The paper empirically explores the international linkages between gender inequality and trade flows of a sample of 92 developed and developing countries. The focus is on comparative advantage in labour-intensive manufactured goods. The results indicate that gender wage inequality is positively associated with comparative advantage in labour-intensive goods, that is, countries with a larger gender wage gap have higher exports of these goods. Also, gender inequality in labour force activity rat...
Rotational Heisenberg Inequalities
Bréchet, Sylvain; Reuse, François; Maschke, Klaus; Ansermet, Jean-Philippe
2015-01-01
Since their discovery in 1927, the Heisenberg Inequalities have become an icon of quantum mechanics. Often inappropriately referred to as the Uncertainty Principle, these inequalities relating the standard deviations of the position and momentum observables to Planck's constant are one of the cornerstones of the quantum formalism even if the physical interpretation of quantum mechanics remains still open to controversy nowadays. The Heisenberg Inequalities governing translational motion are w...
Research inequality in nanomedicine
Woodson, T. (Thomas)
2012-01-01
The 10-90 gap is an idea in the healthcare literature that less than 10% of all research funding goes to solving health problems that are 90% of the global disease burden. This paper examines whether there is inequality in nanotechnology healthcare research (nanomedicine). To understand the inequality in nanomedicine, I conducted a bibliometric review of Web of Science and PubMed databases. Overall there is not large inequality in nanomedicine research. The bibliometric analysis shows that mo...
Xie, Y.
2014-01-01
Inequalities in scientists’ contributions to science and their rewards have always been very high. There are good reasons to propose that inequalities in science across research institutions and across individual scientists have increased in recent years. In the meantime, however, globalization and internet technology have narrowed inequalities in science across nations and facilitated the expansion of science and rapid production of scientific discoveries through international collaborative networks. PMID:24855244
Directory of Open Access Journals (Sweden)
Jovanović-Gavrilović Biljana D.
2003-01-01
Full Text Available Inequality can be analyzed from various aspects. In this paper our attention is drawn to economic inequality, most frequently manifested through income and wealth. The measurement of economic inequality is a complex task. The Lorenz curve and a number of numerical indices are applied, and let us mention the following ones: the Gini coefficient, the coefficient of variation, the Theil index and the Atkinson measure. These indices do satisfy the criteria (principles presenting, according to general consent an appropriate measure of economic inequality: anonymity (symmetry principle, population principle, relative income principle and the Dalton principle of transfer. In recent times, the problem of inequality has been attracting a lot of attention. The explanation should be sought in the widening of income differences (within individual countries and between them and also in new knowledge about the relationship between inequality and development. The attitude to inequality being determined mainly by the economic development level (as presented in the Kuznets hypothesis is gradually being replaced by the attitude to inequality being the determinant of income and its growth. Contrary to previous beliefs about the stronger income inequalities being favorable to the economic growth, more recent research has pointed to the fact that a more equal distribution of income through various channels, can possibly act as an efficient stimulus of growth.
On the Affine Isoperimetric Inequalities
Indian Academy of Sciences (India)
Wuyang Yu; Gangsong Leng
2011-11-01
We obtain an isoperimetric inequality which estimate the affine invariant -surface area measure on convex bodies. We also establish the reverse version of -Petty projection inequality and an affine isoperimetric inequality of $_{-p}K$.
Migration and regional inequality
DEFF Research Database (Denmark)
Peng, Lianqing; Swider, Sarah
2017-01-01
rising, regional inequality has actually decreased, and most recently, remained stable. Our study suggests that China’s unique migratory regime is crucial to understanding these findings. We conduct a counterfactual simulation to demonstrate how migration and remittances have mitigated income inequality...
DEFF Research Database (Denmark)
Gondan, Matthias; Heckel, A.
2008-01-01
In speeded response tasks with redundant signals, parallel processing of the redundant signals is generally tested using the so-called race inequality. The race inequality states that the distribution of fast responses for a redundant stimulus never exceeds the summed distributions of fast...
functional-differential inequalities
Directory of Open Access Journals (Sweden)
Ludwik Byszewski
1995-01-01
Full Text Available A theorem about a system of strong impulsive degenerate nonlinear parabolic functional-differential inequalities in an arbitrary parabolic set is proved. As a consequence of the theorem, some theorems about impulsive degenerate nonlinear parabolic differential inequalities and the uniqueness of a classical solution of an impulsive degenerate nonlinear parabolic differential problem are established.
DEFF Research Database (Denmark)
Blank, N; Diderichsen, Finn
1996-01-01
of the study is to analyse the interaction between socio-economic and personal circumstances in explaining inequalities in health. It is based on a theoretical framework which presupposes that inequalities in health are likely to be explained by a complicated process involving a multitude of factors...
Robertson, Peter J.
2014-01-01
Structural explanations of career choice and development are well established. Socioeconomic inequality represents a powerful factor shaping career trajectories and economic outcomes achieved by individuals. However, a robust and growing body of evidence demonstrates a strong link between socioeconomic inequality and health outcomes. Work is a key…
Inequalities for inscribed simplexes
Institute of Scientific and Technical Information of China (English)
YANG Shiguo
2004-01-01
The problem on the geometrc inequalities involving ann-dimensional simplex and its inscribed simplex is studied. An inequality is established, which reveals that the difference between the squared circumradius of then-dimensional simplex and the squared distance between its circumcenter and barycenter times the squared circumradius of its inscribed simplex is not less than the 2(n-1)th power ofnn times its squared inradius, and is equal to when the simplex is regular and its inscribed siplex is a tangent point one. Deduction from this inequality reaches a generalization ofn-dimensional Euler inequality indicating that the circumradius of the simplex is not less than then-fold inradius. Another inequality is derived to present the relationship between the circumradius of the n-dimensional simplex and the circumradius and inradius of its pedal simplex.
Inequalities with applications to engineering
Cloud, Michael J; Lebedev, Leonid P
2014-01-01
This book offers a concise introduction to mathematical inequalities for graduate students and researchers in the fields of engineering and applied mathematics. It begins by reviewing essential facts from algebra and calculus and proceeds with a presentation of the central inequalities of applied analysis, illustrating a wide variety of practical applications. The text provides a gentle introduction to abstract spaces, such as metric, normed, and inner product spaces. It also provides full coverage of the central inequalities of applied analysis, such as Young's inequality, the inequality of the means, Hölder's inequality, Minkowski's inequality, the Cauchy–Schwarz inequality, Chebyshev's inequality, Jensen's inequality, and the triangle inequality. The second edition features extended coverage of applications, including continuum mechanics and interval analysis. It also includes many additional examples and exercises with hints and full solutions that may appeal to upper-level undergraduate and graduate...
Economic inequality predicts biodiversity loss.
Mikkelson, Gregory M; Gonzalez, Andrew; Peterson, Garry D
2007-05-16
Human activity is causing high rates of biodiversity loss. Yet, surprisingly little is known about the extent to which socioeconomic factors exacerbate or ameliorate our impacts on biological diversity. One such factor, economic inequality, has been shown to affect public health, and has been linked to environmental problems in general. We tested how strongly economic inequality is related to biodiversity loss in particular. We found that among countries, and among US states, the number of species that are threatened or declining increases substantially with the Gini ratio of income inequality. At both levels of analysis, the connection between income inequality and biodiversity loss persists after controlling for biophysical conditions, human population size, and per capita GDP or income. Future research should explore potential mechanisms behind this equality-biodiversity relationship. Our results suggest that economic reforms would go hand in hand with, if not serving as a prerequisite for, effective conservation.
Lay perceptions of health and environmental inequalities and their associations to mental health.
Lima, Maria Luisa; Morais, Rita
2015-11-01
Health inequalities are very well documented in epidemiological research: rich people live longer and have fewer diseases than poor people. Recently, a growing amount of evidence from environmental sciences confirms that poor people are also more exposed to pollution and other environmental threats. However, research in the social sciences has shown a broad lack of awareness about health inequalities. In this paper, based on data collected in Portugal, we will analyze the consciousness of both health and environmental injustices and test one hypothesis for this social blindness. The results show, even more clearly than before, that public opinion tends to see rich and poor people as being equally susceptible to health and environmental events. Furthermore, those who have this equal view of the world present lower levels of depression and anxiety. Following cognitive adaptation theory, this "belief in an equal world" can be interpreted as a protective positive illusion about social justice, particularly relevant in one of the most unequal countries in Europe.
Social inequalities and health inequity in Morocco
Directory of Open Access Journals (Sweden)
Boutayeb Abdesslam
2006-03-01
Full Text Available Abstract Background According to the last census, Morocco has a population approaching 30 million people. The country has made good progress in the control of preventable childhood diseases but social inequalities and health inequities remain major problems for the third millennium. Despite the progress achieved during the last decade, the country still ranks at the 125th place according to the Human Development Index. This unpleasant position is mainly explained by illiteracy, education and health indicators. Method Our study was based mainly on annual reports and regular publications released by the United Nations (UN, United Nations Development Programme (UNDP, World Health Organisation (WHO, The Moroccan Health Ministry and related papers published in international journals. Results and discussion As indicated by the last Arab Human Development Reports (AHDR 2002, AHDR 2003, AHDR 2004 and implicitly confirmed by the "National Initiative for Human Development" (NIHD launched in May 2005 by the King of Morocco, many districts and shanty towns, urban or peri-urban, and a multitude of rural communes live in situations characterized by difficult access to basic social services of which education and health are examples. Conclusion Recent evidence showed that improved health is more than a consequence of development. It is a central input into economic and social development and poverty reduction. Serious initiatives for human development should consider the reduction of social inequalities and health inequities as a first priority. Otherwise, the eventual development achieved cannot be sustained.
INEQUALITIES FOR MIXED INTERSECTION BODIES
Institute of Scientific and Technical Information of China (English)
YUAN SHUFENG; LENG GANGSONG
2005-01-01
In this paper, some properties of mixed intersection bodies are given, and inequalities from the dual Brunn-Minkowski theory (such as the dual Minkowski inequality, the dual Aleksandrov-Fenchel inequalities and the. dual Brunn-Minkowski inequalities) are established for mixed intersection bodies.
DEFF Research Database (Denmark)
Holck, Lotte
2016-01-01
/methodology/approach: – The (re)production of inequality is explored by linking research on organizational space with HRM diversity management. Data from an ethnographic study undertaken in a Danish municipal center illustrates how a substructure of inequality is spatially upheld alongside a formal diversity policy. Archer...... the more subtle, spatially embedded forms of inequality. Originality/value: – Theoretical and empirical connections between research on organizational space and HRM diversity management have thus far not been systematically studied. This combination might advance knowledge on the persistence of micro...
EXTENSIONS OF SOME INEQUALITIES
Institute of Scientific and Technical Information of China (English)
无
2001-01-01
By using a simple analytic method the following inequalities are proved:(bx+y-ax+y)/(bx-ax)≥[(x+y)/x][(a+b)/2]y,for 0＜a＜b,x≥1,y＞0,x+y≥2;(bx+y-ax+y)/(bx-ax)＜[(x+y)/x][(a+b)/2]y,for0＜a＜b,0＜x＜1,y＞0,x+y≤2.These inequalities are the extensions of inequalities of Qi Feng, Xu Senlin and Zheng Lin. And a conjection of Qi Feng is proved not true.
Social inequalities in "sickness"
DEFF Research Database (Denmark)
van der Wel, Kjetil A; Dahl, Espen; Thielen, Karsten
2012-01-01
-employment were particularly high in the Anglo-Saxon and Eastern welfare regimes, and lowest in the Scandinavian regime. For men, absolute and relative social inequalities in sickness were lowest in the Southern regime; for women, inequalities were lowest in the Scandinavian regime. The authors conclude......In comparative studies of health inequalities, public health researchers have usually studied only disease and illness. Recent studies have also examined the sickness dimension of health, that is, the extent to which ill health is accompanied by joblessness, and how this association varies...
The most elementary Bell inequalities
Sadiq, Muhamad; Bourennane, Mohamed; Cabello, Adan
2011-01-01
Every nontrivial Bell inequality can be associated to a graph with some special properties. The simplest of these graphs is the pentagon. In this sense, any Bell inequality associated to a pentagon can be regarded as elementary. We show that there are three of them: one is a primitive Bell inequality inside the Clauser-Horne-Shimony-Holt inequality and, surprisingly, it is not maximally violated by maximally entangled states. The other two are maximally violated by maximally entangled states and are related to the Clauser-Horne inequality and the I3322 inequality, respectively. We report experimental violations of the three inequalities with pairs of photons entangled in polarization.
Out of our inner city backyards: re-scaling urban environmental health inequity assessment.
Masuda, Jeffrey R; Teelucksingh, Cheryl; Zupancic, Tara; Crabtree, Alexis; Haber, Rebecca; Skinner, Emily; Poland, Blake; Frankish, Jim; Fridell, Mara
2012-10-01
In this paper, we report the results of a three-year research project (2008-2011) that aimed to identify urban environmental health inequities using a photography-mediated qualitative approach adapted for comparative neighbourhood-level assessment. The project took place in Vancouver, Toronto, and Winnipeg, Canada and involved a total of 49 inner city community researchers who compared environmental health conditions in numerous neighbourhoods across each city. Using the social determinants of health as a guiding framework, community researchers observed a wide range of differences in health-influencing private and public spaces, including sanitation services, housing, parks and gardens, art displays, and community services. The comparative process enabled community researchers to articulate in five distinct ways how such observable conditions represented system level inequities. The findings inform efforts to shift environmental health intervention from constricted action within derelict urban districts to more coordinated mobilization for health equity in the city.
Kruize H; Bouwman AA; MGO; RIM
2004-01-01
As a part of a broader investigation on environmental inequity in the Netherlands, an exploratory case study on the socio-economic distribution on (perceived) environmental quality was carried out in the Rijnmond (industrial and urbanised) region in the western part of the Netherlands. Disparities
Bonnesen-style Wulff isoperimetric inequality.
Zhang, Zengle; Zhou, Jiazu
2017-01-01
The Wulff isoperimetric inequality is a natural extension of the classical isoperimetric inequality (Green and Osher in Asian J. Math. 3:659-676 1999). In this paper, we establish some Bonnesen-style Wulff isoperimetric inequalities and reverse Bonnesen-style Wulff isoperimetric inequalities. Those inequalities obtained are extensions of known Bonnesen-style inequalities and reverse Bonnesen-style inequalities.
Directory of Open Access Journals (Sweden)
N. Carella
2013-09-01
Full Text Available A new unconditional inequality of the totient function is contributed to the literature. This result is associated with various unsolved problems about the distribution of prime numbers.
Bray, H L; Bray, Hubert L.; Chrusciel, Piotr T.
2003-01-01
In 1973, R. Penrose presented an argument that the total mass of a space-time which contains black holes with event horizons of total area $A$ should be at least $\\sqrt{A/16\\pi}$. An important special case of this physical statement translates into a very beautiful mathematical inequality in Riemannian geometry known as the Riemannian Penrose inequality. This inequality was first established by G. Huisken and T. Ilmanen in 1997 for a single black hole and then by one of the authors (H.B.) in 1999 for any number of black holes. The two approaches use two different geometric flow techniques and are described here. We further present some background material concerning the problem at hand, discuss some applications of Penrose-type inequalities, as well as the open questions remaining.
Stiglitz, Joseph E.
1973-01-01
The author argues that the educational system is not the cause of inequality, raising the question of whether it is possible or even desirable to use the educational system to promote greater equality. (EH)
Social inequalities in 'sickness'
DEFF Research Database (Denmark)
Wel, Kjetil A. van der; Dahl, Espen; Thielen, Karsten
2011-01-01
The aim of this paper is to examine educational inequalities in the risk of non-employment among people with illnesses and how they vary between European countries with different welfare state characteristics. In doing so, the paper adds to the growing literature on welfare states and social...... from Eurostat and OECD that include spending on active labour market policies, benefit generosity, income inequality, and employment protection. Using multilevel techniques we find that comprehensive welfare states have lower absolute and relative social inequalities in sickness, as well as more...... inequalities in health by studying the often overlooked ‘sickness’-dimension of health, namely employment behaviour among people with illnesses. We use European Union Statistics on Income and Living Conditions (EU-SILC) data from 2005 covering 26 European countries linked to country characteristics derived...
Stiglitz, Joseph E.
1973-01-01
The author argues that the educational system is not the cause of inequality, raising the question of whether it is possible or even desirable to use the educational system to promote greater equality. (EH)
Hisako, KAI; Shigeyuki, Hamori
2009-01-01
This paper examines the relationship microfinance and inequality by providing a cross-country empirical study of 61 developing countries. Microfinance plays an important role in the financial market in many developing countries. Although microfinance is expected to significantly affect macro variables, we lack enough empirical research on Impact Analysis at the macro level, such as the effect of microfinance on inequality. We expect microfinance to have an equalizing effect, and provide a fir...
Inequalities for Humbert functions
Directory of Open Access Journals (Sweden)
Ayman Shehata
2014-04-01
Full Text Available This paper is motivated by an open problem of Luke’s theorem. We consider the problem of developing a unified point of view on the theory of inequalities of Humbert functions and of their general ratios are obtained. Some particular cases and refinements are given. Finally, we obtain some important results involving inequalities of Bessel and Whittaker’s functions as applications.
Quantum steering without inequalities
Chen, Jing-Ling; Wu, Chunfeng; Su, Hong-Yi; Cabello, Adan; Kwek, L C; Oh, C H
2012-01-01
We show that, for any two-qubit state, quantum steering can be proven without testing the violation of steering inequalities. We show that steerability is proven if Bob's normalized conditional states after Alice's measurements are pure. This method, which may be seen as the quantum steering analog of Greenberger-Horne-Zeilinger-like tests of Bell nonlocality without Bell inequalities, offers advantages with respect to the existing methods for experimentally testing quantum steering.
MEASUREMENT OF HEALTH INEQUALITY
Directory of Open Access Journals (Sweden)
NICOLETA CARAGEA
2011-04-01
Full Text Available Health inequality is met everywhere in the world, including in countries with a high level of economic development, or those with strong social protection systems. In this paper I analyzed certain methods to measure health inequalities between population groups and also I presented some empirical results regarding health disparities between European Union countries. My research is focussed on three health areas: health status of population, access to health care services and resource allocation and population spending on health care.
Generalized quasi variational inequalities
Energy Technology Data Exchange (ETDEWEB)
Noor, M.A. [King Saud Univ., Riyadh (Saudi Arabia)
1996-12-31
In this paper, we establish the equivalence between the generalized quasi variational inequalities and the generalized implicit Wiener-Hopf equations using essentially the projection technique. This equivalence is used to suggest and analyze a number of new iterative algorithms for solving generalized quasi variational inequalities and the related complementarity problems. The convergence criteria is also considered. The results proved in this paper represent a significant improvement and refinement of the previously known results.
Carmichael, Sarah; Dilli, Selin; Rijpma, Auke
2014-01-01
Historically, gender inequalities in health status, socio-economic standing and political rights have been large. This chapter documents gender differences in life expectancy and birth rates (to cover health status); in average years of schooling, labour force participation, inheritance rights and marriage age (to cover socioeconomic status); and in parliamentary seats and suffrage (to cover political rights). A composite indicator shows strong progress in reducing gender inequality in the pa...
Saib, Mahdi-Salim; Caudeville, Julien; Beauchamp, Maxime; Carré, Florence; Ganry, Olivier; Trugeon, Alain; Cicolella, Andre
2015-01-01
Background Reducing health inequalities involves the identification and characterization of social and exposure factors and the way they accumulate in a given area. The areas of accumulation then allow for prioritization of interventions. The present study aims to build spatial composite indicators based on the aggregation of environmental, social and health indicators and their inter-relationships. Method Preliminary work was carried out firstly to homogenize spatial coverage, and secondly t...
Lq Inequalities and Operator Preserving Inequalities
Institute of Scientific and Technical Information of China (English)
M.Bidkham∗; S.Ahmadi
2014-01-01
Let Pn be the class of polynomials of degree at most n. Rather and Shah [15] proved that if P∈Pn and P(z) 6=0 in|z|0 and 0≤q<∞,|B[P(Rz)]|q≤|RnB[zn]+λ0|q|1+zn|q |P(z)|q, where B is a Bn-operator. In this paper, we prove some generalization of this result which in particular yield-s some known polynomial inequalities as special. We also consider an operator Dαwhich maps a polynomial P(z) into DαP(z):=nP(z)+(α−z)P′(z) and obtain exten-sions and generalizations of a number of well-known Lq inequalities.
Hardy type inequalities on time scales
Agarwal, Ravi P; Saker, Samir H
2016-01-01
The book is devoted to dynamic inequalities of Hardy type and extensions and generalizations via convexity on a time scale T. In particular, the book contains the time scale versions of classical Hardy type inequalities, Hardy and Littlewood type inequalities, Hardy-Knopp type inequalities via convexity, Copson type inequalities, Copson-Beesack type inequalities, Liendeler type inequalities, Levinson type inequalities and Pachpatte type inequalities, Bennett type inequalities, Chan type inequalities, and Hardy type inequalities with two different weight functions. These dynamic inequalities contain the classical continuous and discrete inequalities as special cases when T = R and T = N and can be extended to different types of inequalities on different time scales such as T = hN, h > 0, T = qN for q > 1, etc.In this book the authors followed the history and development of these inequalities. Each section in self-contained and one can see the relationship between the time scale versions of the inequalities and...
Energy Technology Data Exchange (ETDEWEB)
Graham, J.D.; Beaulieu, N.D.; Sussman, D.; Sadowitz, M.; Li, Y.C. (Harvard Center for Risk Analysis, Boston, MA (United States))
1999-04-01
Facility-specific information on pollution was obtained for 36 coke plants and 46 oil refineries in the US and matched with information on populations surrounding these 82 facilities. These data were analyzed to determine whether environmental inequities were present, whether they were more economic or racial in nature, and whether the racial composition of nearby communities has changed significantly since plants began operations. The Census tracts near coke plants have a disproportionate share of poor and nonwhite residents. Multivariate analyses suggest that existing inequities are primarily economic in nature. The findings for oil refineries are not strongly supportive of the environmental inequity hypothesis. Rank ordering of facilities by race, poverty, and pollution produces limited (although not consistent) evidence that the more risky facilities tend to be operating in communities with above-median proportions of nonwhite residents (near coke plants) and Hispanic residents (near oil refineries). Over time, the radical makeup of many communities near facilities has changed significantly, particularly in the case of coke plants sited in the early 1900s. Further risk-oriented studies of multiple manufacturing facilities in various industrial sectors of the economy are recommended.
Bilateral Hardy-type Inequalities
Institute of Scientific and Technical Information of China (English)
Mu Fa CHEN
2013-01-01
This paper studies the Hardy-type inequalities on the intervals (may be infinite) with two weights,either vanishing at two endpoints of the interval or having mean zero.For the first type of inequalities,in terms of new isoperimetric constants,the factor of upper and lower bounds becomes smaller than the known ones.The second type of the inequalities is motivated from probability theory and is new in the analytic context.The proofs are now rather elementary.Similar improvements are made for Nash inequality,Sobolev-type inequality,and the logarithmic Sobolev inequality on the intervals.
Cushing, Lara; Morello-Frosch, Rachel; Wander, Madeline; Pastor, Manuel
2015-03-18
A growing body of literature suggests that more unequal societies have more polluted and degraded environments, perhaps helping explain why more unequal societies are often less healthy. We summarize the mechanisms by which inequality can lead to environmental degradation and their relevance for public health. We review the evidence of a relationship between environmental quality and social inequality along the axes of income, wealth, political power, and race and ethnicity. Our review suggests that the evidence is strongest for air- and water-quality measures that have more immediate health implications; evidence is less strong for more dispersed pollutants that have longer-term health impacts. More attention should be paid in research and in practice to links among inequality, the environment, and health, including more within-country studies that may elucidate causal pathways and points of intervention. We synthesize common metrics of inequality and methodological considerations in an effort to bring cohesion to such efforts.
Recurring Mean Inequality of Random Variables
Directory of Open Access Journals (Sweden)
Wang Mingjin
2008-01-01
Full Text Available A multidimensional recurring mean inequality is shown. Furthermore, we prove some new inequalities, which can be considered to be the extensions of those established inequalities, including, for example, the Polya-Szegö and Kantorovich inequalities .
Catalán-Vázquez, Minerva; Riojas-Rodríguez, Horacio
2015-06-01
Analyze how gender inequity manifests in contexts of poverty in different environmental risk scenarios in Mexico. Qualitative design based on six discussion groups and 54 in-depth interviews with women from six exposed communities: two to environmental manganese in a mining district, two in an industrial corridor, and two bordering a sanitary landfill. A document review of environmental and health studies in each area was done to relate them to the women's perspective on the problem. In the three case studies, by gender roles, women stay at home and do housework and, therefore, are subject to intense environmental exposure when carrying out their daily tasks, such as house cleaning. Interview and discussion group results were found to be related to epidemiological study results. In the case of the mining district, women's perceptions are consistent with study comments on adverse cognitive effects of manganese exposure. In all three cases, there are serious limitations on women's political participation in environmental risk management. Due to conditions of inequity, women are highly exposed to environmental health risks and their social participation in solving environmental problems is quite limited. These results have social and environmental policy implications in the areas studied, especially with regard to risk assessment, management, and communication.
Global income related health inequalities
Directory of Open Access Journals (Sweden)
Jalil Safaei
2007-01-01
Full Text Available Income related health inequalities have been estimated for various groups of individuals at local, state, or national levels. Almost all of theses estimates are based on individual data from sample surveys. Lack of consistent individual data worldwide has prevented estimates of international income related health inequalities. This paper uses the (population weighted aggregate data available from many countries around the world to estimate worldwide income related health inequalities. Since the intra-country inequalities are subdued by the aggregate nature of the data, the estimates would be those of the inter-country or international health inequalities. As well, the study estimates the contribution of major socioeconomic variables to the overall health inequalities. The findings of the study strongly support the existence of worldwide income related health inequalities that favor the higher income countries. Decompositions of health inequalities identify inequalities in both the level and distribution of income as the main source of health inequality along with inequalities in education and degree of urbanization as other contributing determinants. Since income related health inequalities are preventable, policies to reduce the income gaps between the poor and rich nations could greatly improve the health of hundreds of millions of people and promote global justice. Keywords: global, income, health inequality, socioeconomic determinants of health
HEISENBERG'S INEQUALITY AND LOGARITHMIC HEISENBERG'S INEQUALITY FOR AMBIGUITY FUNCTION
Institute of Scientific and Technical Information of China (English)
Tian Guji
2000-01-01
In this article we discuss the relation between Heisenberg's inequality and logarithmic Heisenberg's (entropy) inequality for ambiguity function. After building up a Heisenberg's inequality, we obtain a connection of variance with entropy by variational method. Using classical Taylor's expansion, we prove that the equality in Heisenberg's inequality holds if and only if the entropy of 2k - 1 order is equal to (2k - 1)!.
REFINEMENTS OF THE FAN-TODD'S INEQUALITIES
Institute of Scientific and Technical Information of China (English)
庄国基
2002-01-01
Refinements to inequalities oninner product spaces are presented. In this respect, inequalities dealt with in this paper are: Cauchy's inequality, Bessel's inequality, Fan-Todd's inequality and Fan-Todd's determinantal inequality. In each case, a strictly increasing function is put forward, which lies between the smaller and the larger quantities of each inequality. As a result,an improved condition for equality of the Fan-Todd's determinantal inequality is deduced.
Directory of Open Access Journals (Sweden)
Nasfi Fkili Wahiba
2013-12-01
Full Text Available This paper is intended to test the effect of trade openness on inequality of wage distribution in Tunisia. The study through econometric estimates showed that the impact of openness on inequality is remarkable in the period marked by an intensive integration into the global economy. However, investment in human capital can have a positive effect and leas to reduce wage disparities. Opening to the world economy is able to achieve positive economic performance, except that one of the challenges for Tunisia is to find the best equilibrium between the benefits and costs of this policy. Globalization can be beneficial for the economy, but the debate is open about its impact on the social level, many are those who accuse it of increasing disparities and inequalities between workers.
Measuring Inequality and Segregation
Roberto, Elizabeth
2015-01-01
In this paper, I introduce the Divergence Index, a conceptually intuitive and methodologically rigorous measure of inequality and segregation. The index measures the difference between a distribution of interest and another empirical, theoretical, or normative distribution. The Divergence Index provides flexibility in specifying a theoretically meaningful basis for evaluating inequality. It evaluates how surprising an empirical distribution is given a theoretical distribution that represents equality. I demonstrate the unique features of the new measure, as well as deriving its mathematical equivalence with Theil's Inequality Index and the Information Theory Index. I compare the dynamics of the measures using simulated data, and an empirical analysis of racial residential segregation in the Detroit, MI, metro area. The Information Theory Index has become the gold standard for decomposition analyses of segregation. I show that although the Information Theory Index can be decomposed for subareas, it is misleadi...
Tackling Health Inequalities Locally
DEFF Research Database (Denmark)
Diderichsen, Finn; Scheele, Christian Elling; Little, Ingvild Gundersen
issues are all relevant here. Can we identify obstacles to and means of promoting the involvement of local policymakers within education, social care, labourmarket, environment etc. in a coordinated effort to tackle health inequalities in a Scandinavian context? The present report is the result......The Scandinavian countries and their welfare policies have long been known for their ability to reduce income inequality while boosting economic growth. Recent research from OECD has indicated that the Scandinavian countries are indeed examples of a more general positive relationship between...... equality and growth (64). Health equity has been anexplicit political goal in Scandinavia for decades. Nevertheless, in the health domain, average improvement has not been followed by reduced inequality – at least not between socioeconomic groups. It has in other words turned out to be a challenge...
DEFF Research Database (Denmark)
Alt, James E.; Lassen, David Dreyer
, and the degree of inequality, which indicate diminished prospects facing those convicted of corruption. In US states over 25 years we show that inequality and higher government relative wages significantly and robustly produce less corruption. This reverses other findings of a positive association between......High-quality data on state-level inequality and incomes, panel data on corruption convictions, and careful attention to the consequences of including or excluding fixed effects in the panel specification allow us to estimate the impact of income considerations on the decision to undertake corrupt...... acts. Following efficiency wage arguments, for a given institutional environment the corruptible employee's or official's decision to engage in corruption is affected by relative wages and expected tenure in the public sector, the probability of detection, the cost of fines and jail terms...
An Inequality for Bounded Functions
Kouba, Omran
2012-01-01
In this note we prove optimal inequalities for bounded functions in terms of their deviation from their mean. These results extend and generalize some known inequalities due to Thong (2011) and Perfetti (2011)
The Growth-Inequality Association:
DEFF Research Database (Denmark)
Bjørnskov, Christian
2008-01-01
This note suggests that the association between income inequality and economic growth rates might arguably depend on the political ideology of incumbent governments. Estimates indicate that under leftwing governments, inequality is negatively associated with growth while the association is positive...
[Environmental health and inequalities: building indicators for sustainable development].
Carneiro, Fernando Ferreira; Franco Netto, Guilherme; Corvalan, Carlos; de Freitas, Carlos Machado; Sales, Luiz Belino Ferreira
2012-06-01
Despite its progress in terms of socio-economic indicators, Brazil is still unequal, which is due to an unequal and exclusionary historical process. In this paper we selected the Human Development Index - HDI and other social, economic, environmental and health indicators to exemplify this situation. We selected the municipalities that had the lowest HDI in the country in 2000 comparing their evolution over time between 2000 and 2010 by means of indicators linked to the economic, environmental and social pillars of sustainable development. These municipalities have an HDI classified as low (sustainable development with quality of life, the improvement of sanitation and education indicators should be a priority for Brazil.
Industrialization and inequality revisited
DEFF Research Database (Denmark)
Molitoris, Joseph; Dribe, Martin
2016-01-01
, relative differences between socioeconomic groups remained virtually constant. The results also show that child mortality continued to be sensitive to short-term fluctuations in wages and that there were no socioeconomic differences in this response. We argue that the persistent inequality in living......This work combines economic and demographic data to examine inequality of living standards in Stockholm at the turn of the twentieth century. Using a longitudinal population register with occupational information, we utilize event-history models to show that despite absolute decreases in mortality...
Trends in Global Gender Inequality
Dorius, Shawn F.; Firebaugh, Glenn
2010-01-01
This study investigates trends in gender inequality throughout the world. Using data encompassing a large majority of the world's population, we examine trends in recent decades for key indicators of gender inequality in education, mortality, political representation and economic activity. We find that gender inequality is declining in virtually…
Legal Quality, Inequality, and Tolerance
DEFF Research Database (Denmark)
Bjørnskov, Christian
Previous findings suggest that income inequality leads to lower legal quality. This paper argues that voters' tolerance of inequality exerts an additional influence. Empirical findings suggest that inequality leads to lower legal quality due to its effect on trust while the tolerance of inequalit......, proxied by the political ideology of the median voter, exerts an independent influence....
Legal Quality, Inequality, and Tolerance
DEFF Research Database (Denmark)
Bjørnskov, Christian
2004-01-01
Previous findings suggest that income inequality leads to lower legal quality. This paper argues that voters' tolerance of inequality exerts an additional influence. Empirical findings suggest that inequality leads to lower legal quality due to its effect on trust while the tolerance of inequalit......, proxied by the political ideology of the median voter, exerts an independent influence....
Lay perceptions of health and environmental inequalities and their associations to mental health
Directory of Open Access Journals (Sweden)
Maria Luisa Lima
2015-11-01
Full Text Available Abstract Health inequalities are very well documented in epidemiological research: rich people live longer and have fewer diseases than poor people. Recently, a growing amount of evidence from environmental sciences confirms that poor people are also more exposed to pollution and other environmental threats. However, research in the social sciences has shown a broad lack of awareness about health inequalities. In this paper, based on data collected in Portugal, we will analyze the consciousness of both health and environmental injustices and test one hypothesis for this social blindness. The results show, even more clearly than before, that public opinion tends to see rich and poor people as being equally susceptible to health and environmental events. Furthermore, those who have this equal view of the world present lower levels of depression and anxiety. Following cognitive adaptation theory, this “belief in an equal world” can be interpreted as a protective positive illusion about social justice, particularly relevant in one of the most unequal countries in Europe.
DEFF Research Database (Denmark)
Bjørnskov, Christian; Dreher, Axel; Fischer, Justina A.V.
2013-01-01
We argue that perceived fairness of the income generation process affects the association between income inequality and subjective well-being, and that there are systematic differences in this regard between countries that are characterized by a high or, respectively, low level of actual fairness...
Brickman, Philip
1977-01-01
People's judgments of fairness are related to varying degrees of uncertainty about their own resulting positions in society. When task assignments were made on the basis of ability, college students were much more willing to endorse inequality when they did not know their positions than when they did. (Author/EVH)
Inequalities in network structures
Whitmeyer, Joseph M.; Wittek, Rafael
We use a model of continuous attachments in networks to generate propositions concerning inequalities in network structures, and test the propositions on data from organizational settings. Our network model, inspired by that of [Gould, Roger 2002. The origins of status hierarchies: A formal theory
Inequality and Political Clientelism
DEFF Research Database (Denmark)
Markussen, Thomas
Political parties can be vehicles for economic and social development in poor countries. They can also serve as rent seeking instruments. Uncovering how parties function is therefore key to establishing the preconditions for good governance. The paper discusses when and why clientelism on the ba...... affected by economic inequality....
DEFF Research Database (Denmark)
Sonne-Schmidt, Christoffer Scavenius; Tarp, Finn; Østerdal, Lars Peter Raahave
2016-01-01
This paper introduces a concept of inequality comparisons with ordinal bivariate categorical data. In our model, one population is more unequal than another when they have common arithmetic median outcomes and the first can be obtained from the second by correlation-increasing switches and...
Immigration and income inequality
DEFF Research Database (Denmark)
Deding, Mette; Jakobsen, Vibeke; Azhar, Hussain
Four income inequality measures (Gini-coefficient, 90/10-decile ratio, and two generalized entropy indices) are applied to analyse immigrants’ income position relative to natives in a comparative perspective. Administrative data is used for Denmark, while survey data is used for Germany. We find...
Arjona Castilla, Ver??nica; L??pez Mu??oz, Mar??a
2014-01-01
The Organic Law for the Improvement of the Educational Quality (LOMCE) supposes a step back in the development of education. The huge number of critics about this reform gives us a guideline to comment and value some weaknesses of this law. Through the explanation of two main topics: gender segregation and privatization of schools, one can see the negative effect that LOMCE hides: inequality.
Carmichael, Sarah; Dilli, Selin; Rijpma, Auke
2014-01-01
Historically, gender inequalities in health status, socio-economic standing and political rights have been large. This chapter documents gender differences in life expectancy and birth rates (to cover health status); in average years of schooling, labour force participation, inheritance rights and
Melamed, David; North, Michael S.
2010-01-01
Recently an article in "Personality and Social Psychology Review" urged social psychologists to reacquire their "sociological imagination" and incorporate broader, structural factors in their work (Oishi, Kesebir, and Snyder 2009). Studies of social inequality in particular seem ripe for this kind of collaboration. Psychological investigations…
Carmichael, Sarah; Dilli, Selin; Rijpma, Auke
2014-01-01
Historically, gender inequalities in health status, socio-economic standing and political rights have been large. This chapter documents gender differences in life expectancy and birth rates (to cover health status); in average years of schooling, labour force participation, inheritance rights and m
Inequalities in network structures
Whitmeyer, Joseph M.; Wittek, Rafael
2010-01-01
We use a model of continuous attachments in networks to generate propositions concerning inequalities in network structures, and test the propositions on data from organizational settings. Our network model, inspired by that of [Gould, Roger 2002. The origins of status hierarchies: A formal theory a
Carmichael, Sarah|info:eu-repo/dai/nl/35751405X; Dilli, Selin|info:eu-repo/dai/nl/370724267; Rijpma, Auke|info:eu-repo/dai/nl/314174982
2014-01-01
Historically, gender inequalities in health status, socio-economic standing and political rights have been large. This chapter documents gender differences in life expectancy and birth rates (to cover health status); in average years of schooling, labour force participation, inheritance rights and m
Jacobs, Jerry A., Ed.
These 14 papers address many dimensions of gender inequality at work. The empirical studies include examinations of original surveys, secondary analyses of large data sets, and historical reports assaying the significance of personal, family, and structural factors with regard to gender in the workplace. An introduction (Jacobs) sketches how sex…
Cubic Diophantine Inequalities
Institute of Scientific and Technical Information of China (English)
Hong Ze LI
2001-01-01
Let λ1,λ2,…,λ7 be real numbers satisfying λi ≥ 1. In this paper, we prove there are integers x1…,x7 such that the inequalities │λ1x13+λ2x23+…λ7x37│＜1 and 0 ＜hold simultaneously.
Immigration and income inequality
DEFF Research Database (Denmark)
Deding, Mette; Jakobsen, Vibeke; Azhar, Hussain
Four income inequality measures (Gini-coefficient, 90/10-decile ratio, and two generalized entropy indices) are applied to analyse immigrants’ income position relative to natives in a comparative perspective. Administrative data is used for Denmark, while survey data is used for Germany. We find...
DEFF Research Database (Denmark)
Chhetri, Bir Bahadur Khanal; Larsen, Helle Overgaard; Smith-Hall, Carsten
2015-01-01
This paper investigates the economic importance of environmental income to rural households in Nepal and how environmental income influences poverty and inequality measures. Qualitative contextual information was collected from two village development committees in middle Gorkha District followed...... by a structured survey of 303 randomly selected households; income data were collected quarterly throughout 2008. Average environmental income was 15.7 % of total household income, ranging from 11.0 to 29.5 %. Environmental reliance decreased with rising income while absolute environmental income increased....... Ordinary least square regression analysis indicated that households having large areas of crop and other lands, many livestock, larger amount of bank saving and having at least one migrating household member generate significantly larger amount of total household income. Households having a larger...
Health inequality - determinants and policies
DEFF Research Database (Denmark)
Diderichsen, Finn; Andersen, Ingelise; Manual, Celie;
2012-01-01
The review ”Health inequality – determinants and policies” identifies key-areas to be addressed with the aim to reduce the social inequality in health. The general life expectancy has steadily been increasing, but the data reveals marked social inequalities in health as well as life expectancy....... The review seeks to identify the causes of this social inequality. The analysis finds 12 areas of great importance for the inequality in health. This is i.e. early child development, schooling and education, the health behavior of the population, and the role of the health system. Within each of the 12 areas...
Inequalities for quantum skew information
DEFF Research Database (Denmark)
Audenaert, Koenraad; Cai, Liang; Hansen, Frank
2008-01-01
We study quantum information inequalities and show that the basic inequality between the quantum variance and the metric adjusted skew information generates all the multi-operator matrix inequalities or Robertson type determinant inequalities studied by a number of authors. We introduce an order...... relation on the set of functions representing quantum Fisher information that renders the set into a lattice with an involution. This order structure generates new inequalities for the metric adjusted skew informations. In particular, the Wigner-Yanase skew information is the maximal skew information...... with respect to this order structure in the set of Wigner-Yanase-Dyson skew informations....
CDC Health Disparities and Inequalities Report--U.S. 2013
... trends and ongoing variations in health disparities and inequalities for selected social and health indicators. This is important for encouraging ... behavioral risk factors for disease, environmental hazards, and social determinants of ... Disparities & Inequalities Report - United States, 2013 ...
Biondi, Franco; Qeadan, Fares
2008-04-01
Paleorecords provide information on past environmental variability, and help define ecological reference conditions by means of changes in their characteristics (accumulation rate, geochemical composition, density, etc.). A measure of temporal dissimilarity, which has traditionally been used in dendrochronology and is called "mean sensitivity," only focuses on first-order time-series lags. In this paper mean sensitivity was extended to all possible lags to derive a mean sensitivity function (MSF). The MSF is equivalent to a one-dimensional form of the paired relative madogram, a tool used in geostatistics to quantify spatial dependence. We then showed that the sum of madograms for all possible time-series lags is encapsulated by a single parameter, the Gini coefficient. This parameter has long been used by econometricians, social scientists, and ecologists as a synthetic, quantitative measure of inequality and diversity. Considering the connection between the MSF and the madogram, and the convenience of summarizing data heterogeneity with a single number, the Gini coefficient is therefore particularly appropriate for succinctly evaluating the diversity of paleorecords. An example of this application is provided by focusing on public domain dendrochronological data for the western conterminous United States.
Tackling Health Inequalities Locally
DEFF Research Database (Denmark)
Diderichsen, Finn; Scheele, Christian Elling; Little, Ingvild Gundersen
of this study. It is based on three sources: 1. Interviews with policymakers (administrators and politicians) within healthcare administrations, childhood/education, and labour market administrations from September 2014 to March 2015*. 2. Textual analysis of available policy documents from regions...... of translating small inequalities in wealth into small inequalities in health. Denmark, Norway and Sweden all have legislation that indifferent ways offers local governments key roles in public health. This is partly due to local governments’ responsibility for many policy areas of great relevance to health...... state model, including its health policy, as an area of Nordic collaboration (104). However, realising the principle of health (equity) in all policiesis no simple matter. The national authorities and local government federations in Denmark, Norway and Sweden have therefore initiated various activities...
DEFF Research Database (Denmark)
Frederiksen, Anders; Poulsen, Odile
In recent decades most developed countries have experienced an increase in income inequality. In this paper, we use an equilibrium search framework to shed additional light on what is causing an income distribution to change. The major benefit of the model is that it can accommodate shocks...... to the skill composition in the market, employee bargaining power and productivity. Further, when our model is subjected to skill-upgrading and changes in employee bargaining power, it is capable of predicting the recent changes observed in the Danish income distribution. In addition, the model emphasizes...... that shocks to the employees' relative productivity, i.e., skill-biased technological change, are unlikely to have caused the increase in income inequality....
DEFF Research Database (Denmark)
Gondan, Matthias; Heckel, A.
2008-01-01
In speeded response tasks with redundant signals, parallel processing of the redundant signals is generally tested using the so-called race inequality. The race inequality states that the distribution of fast responses for a redundant stimulus never exceeds the summed distributions of fast...... responses for the single stimuli. It has been pointed out that fast guesses (e.g. anticipatory responses) interfere with this test, and a correction procedure ('kill-the-twin' procedure) has been suggested. In this note we formally derive this procedure and extend it to the case in which redundant stimuli...... are presented with onset asynchrony. We demonstrate how the kill-the-twin procedure is used in a statistical test of the race model prediction....
A Generalization of Holder's Inequality and Some Probability Inequalities
1992-01-01
The main result of this article is a generalization of the generalized Holder inequality for functions or random variables defined on lower-dimensional subspaces of $n$-dimensional product spaces. It will be seen that various other inequalities are included in this approach. For example, it allows the calculation of upper bounds for the product measure of $n$-dimensional sets with the help of product measures of lower-dimensional marginal sets. Furthermore, it yields an interesting inequality...
Some integral inequalities on time scales
Institute of Scientific and Technical Information of China (English)
Adnan Tuna; Servet Kutukcu
2008-01-01
In this article, we study the reverse Holder type inequality and Holder in-equality in two dimensional case on time scales. We also obtain many integral inequalities by using H(o)lder inequalities on time scales which give Hardy's inequalities as spacial cases.
Some Nonlinear Dynamic Inequalities on Time Scales
Indian Academy of Sciences (India)
Wei Nian Li; Weihong Sheng
2007-11-01
The aim of this paper is to investigate some nonlinear dynamic inequalities on time scales, which provide explicit bounds on unknown functions. The inequalities given here unify and extend some inequalities in (B G Pachpatte, On some new inequalities related to a certain inequality arising in the theory of differential equation, J. Math. Anal. Appl. 251 (2000) 736--751).
On Hardy-type integral inequalities
Institute of Scientific and Technical Information of China (English)
冷拓; 冯勇
2013-01-01
The Hardy integral inequality is one of the most important inequalities in analysis. The present paper establishes some new Copson-Pachpatte (C-P) type inequal-ities, which are the generalizations of the Hardy integral inequalities on binary functions.
Conference on Inequalities and Applications
Losonczi, László; Gilányi, Attila; Páles, Zsolt; Plum, Michael
2009-01-01
Inequalities continue to play an essential role in mathematics. Perhaps, they form the last field comprehended and used by mathematicians in all areas of the discipline. Since the seminal work Inequalities (1934) by Hardy, Littlewood and Pólya, mathematicians have laboured to extend and sharpen their classical inequalities. New inequalities are discovered every year, some for their intrinsic interest whilst others flow from results obtained in various branches of mathematics. The study of inequalities reflects the many and various aspects of mathematics. On one hand, there is the systematic search for the basic principles and the study of inequalities for their own sake. On the other hand, the subject is the source of ingenious ideas and methods that give rise to seemingly elementary but nevertheless serious and challenging problems. There are numerous applications in a wide variety of fields, from mathematical physics to biology and economics. This volume contains the contributions of the participants of th...
Improvement of AczÃƒÂ©l's Inequality and Popoviciu's Inequality
Directory of Open Access Journals (Sweden)
Shanhe Wu
2007-06-01
Full Text Available We generalize and sharpen AczÃƒÂ©l's inequality and Popoviciu's inequality by means of two classical inequalities, a unified improvement of AczÃƒÂ©l's inequality and Popoviciu's inequality is given. As application, an integral inequality of AczÃƒÂ©l-Popoviciu type is established.
Non-commutative Nash inequalities
Energy Technology Data Exchange (ETDEWEB)
Kastoryano, Michael [NBIA, Niels Bohr Institute, University of Copenhagen, 2100 Copenhagen (Denmark); Temme, Kristan [Institute for Quantum Information and Matter, California Institute of Technology, Pasadena California 91125 (United States)
2016-01-15
A set of functional inequalities—called Nash inequalities—are introduced and analyzed in the context of quantum Markov process mixing. The basic theory of Nash inequalities is extended to the setting of non-commutative L{sub p} spaces, where their relationship to Poincaré and log-Sobolev inequalities is fleshed out. We prove Nash inequalities for a number of unital reversible semigroups.
Sandeep Mishra; Son Hing, Leanne S.; Lalumière, Martin L.
2015-01-01
Inequality has been associated with risk-taking at the societal level. However, this relationship has not been directly investigated at the individual level. Risk-sensitivity theory predicts that decision makers should increase risk-taking in situations of disparity between one’s present state and desired state. Economic inequality creates such a disparity. In two experiments, we examined whether imposed economic inequality affects risk-taking. In Experiment 1, we examined whether victims of ...
Geometric inequalities for black holes
Dain, Sergio
2014-01-01
It is well known that the three parameters that characterize the Kerr black hole (mass, angular momentum and horizon area) satisfy several important inequalities. Remarkably, some of these inequalities remain valid also for dynamical black holes. This kind of inequalities play an important role in the characterization of the gravitational collapse. They are closed related with the cosmic censorship conjecture. In this article recent results in this subject are reviewed.
Agglomeration, Inequality and Economic Growth
David Castells; Vicente Royuela
2014-01-01
The impact of income inequality on economic growth is dependent on several factors, including the time horizon considered, the initial level of income and its initial distribution. Yet, as growth and inequality are also uneven across space, it is also pertinent to consider the effects of the geographical agglomeration of economic activity. Moreover, it would also seem pertinent to consider not just the levels of inequality and agglomeration, but also the changes they undergo (i.e., their with...
Piketty, Thomas; Saez, Emmanuel
2014-05-23
This Review presents basic facts regarding the long-run evolution of income and wealth inequality in Europe and the United States. Income and wealth inequality was very high a century ago, particularly in Europe, but dropped dramatically in the first half of the 20th century. Income inequality has surged back in the United States since the 1970s so that the United States is much more unequal than Europe today. We discuss possible interpretations and lessons for the future.
Unification of multiqubit polygamy inequalities
Kim, Jeong San
2012-03-01
I establish a unified view of polygamy of multiqubit entanglement. I first introduce a two-parameter generalization of the entanglement of assistance, namely, the unified entanglement of assistance for bipartite quantum states, and provide an analytic lower bound in two-qubit systems. I show a broad class of polygamy inequalities of multiqubit entanglement in terms of the unified entanglement of assistance that encapsulates all known multiqubit polygamy inequalities as special cases. I further show that this class of polygamy inequalities can be improved into tighter inequalities for three-qubit systems.
Geometric inequalities for black holes
Energy Technology Data Exchange (ETDEWEB)
Dain, Sergio [Universidad Nacional de Cordoba (Argentina)
2013-07-01
Full text: A geometric inequality in General Relativity relates quantities that have both a physical interpretation and a geometrical definition. It is well known that the parameters that characterize the Kerr-Newman black hole satisfy several important geometric inequalities. Remarkably enough, some of these inequalities also hold for dynamical black holes. This kind of inequalities, which are valid in the dynamical and strong field regime, play an important role in the characterization of the gravitational collapse. They are closed related with the cosmic censorship conjecture. In this talk I will review recent results in this subject. (author)
Reverse Triangle Inequalities for Potentials
Pritsker, I. E.; Saff, E. B.
2013-01-01
We study the reverse triangle inequalities for suprema of logarithmic potentials on compact sets of the plane. This research is motivated by the inequalities for products of supremum norms of polynomials. We find sharp additive constants in the inequalities for potentials, and give applications of our results to the generalized polynomials. We also obtain sharp inequalities for products of norms of the weighted polynomials $w^nP_n, deg(P_n)\\le n,$ and for sums of suprema of potentials with ex...
HEISENBERG'S INEQUALITY IN SOBOLEV SPACES
Institute of Scientific and Technical Information of China (English)
无
2000-01-01
Using the correspondence between psedodifferential operator and its symbol,the authors obtain Heisenberg's inequality in Sobolev spaces and therefore a kind of quantitative representation of uncertainty principle.
The Oxford handbook of economic inequality. - Paperback
Salverda, W.; Nolan, B.; Smeeding, T.M.
2011-01-01
The Oxford Handbook of Economic Inequality presents a challenging analysis of economic inequality, focusing primarily on economic inequality in highly-developed countries. This comprehensive and authoritative volume contains twenty-seven original contributions on topics ranging from gender to
A New Method to Study Analytic Inequalities
Directory of Open Access Journals (Sweden)
Xiao-Ming Zhang
2010-01-01
Full Text Available We present a new method to study analytic inequalities involving n variables. Regarding its applications, we proved some well-known inequalities and improved Carleman's inequality.
A Double Inequality for Gamma Function
Directory of Open Access Journals (Sweden)
Xiaoming Zhang
2009-01-01
Full Text Available Using the Alzer integral inequality and the elementary properties of the gamma function, a double inequality for gamma function is established, which is an improvement of Merkle's inequality.
Intelligent comparisons analytic inequalities
Anastassiou, George A
2016-01-01
This monograph presents recent and original work of the author on inequalities in real, functional and fractional analysis. The chapters are self-contained and can be read independently, they include an extensive list of references per chapter. The book’s results are expected to find applications in many areas of applied and pure mathematics, especially in ordinary and partial differential equations and fractional differential equations. As such this monograph is suitable for researchers, graduate students, and seminars of the above subjects, as well as Science and Engineering University libraries. .
DEFF Research Database (Denmark)
Chomba, Susan Wangui; Kariuki, Juliet; Lund, Jens Friis;
2016-01-01
The extent to which REDD+ initiatives should be a mechanism to address poverty and provide other co-benefits apart from carbon storage, is hotly debated. Here, we examine the benefit distribution policy and practice of a prominent REDD+ project in Kenya with the aim of understanding the extent...... policy of the project maps onto the existing unequal land distribution, it reinforces inequality. By illustrating how current, well-intended, REDD+ efforts inadvertently come to entrench a long process of dispossession of marginalized people, we call attention to the pivotal importance that historical...
Developed Matrix inequalities via Positive Multilinear Mappings
Dehghani, Mahdi; Kian, Mohsen; Seo, Yuki
2015-01-01
Utilizing the notion of positive multilinear mappings, we give some matrix inequalities. In particular, Choi--Davis--Jensen and Kantorovich type inequalities including positive multilinear mappings are presented.
On New Proofs of Fundamental Inequalities with Applications
Ray, Partha
2010-01-01
By using the Cauchy-Schwarz inequality a new proof of several standard inequalities is given. A new proof of Young's inequality is given by using Holder's inequality. A new application of the above inequalities is included.
Brandolini, L; Gigante, G; Travaglini, G
2011-01-01
The classical Koksma Hlawka inequality does not apply to functions with simple discontinuities. Here we state a Koksma Hlawka type inequality which applies to piecewise smooth functions $f\\chi_{\\Omega}$, with $f$ smooth and $\\Omega $ a Borel subset of $[0,1]^{d}$.
Inequalities, Assessment and Computer Algebra
Sangwin, Christopher J.
2015-01-01
The goal of this paper is to examine single variable real inequalities that arise as tutorial problems and to examine the extent to which current computer algebra systems (CAS) can (1) automatically solve such problems and (2) determine whether students' own answers to such problems are correct. We review how inequalities arise in…
Inequality and riots: experimental evidence
K. Abbink; D. Masclet; D. Mirza
2009-01-01
We study the relationship between inequality and inter-groups conflicts (riots), focussing on social inequality. Disadvantaged societal groups experience discrimination and thus have limited access to some social and labour resources like education or employment. The aim of our paper is twofold. Fir
Inequalities, Assessment and Computer Algebra
Sangwin, Christopher J.
2015-01-01
The goal of this paper is to examine single variable real inequalities that arise as tutorial problems and to examine the extent to which current computer algebra systems (CAS) can (1) automatically solve such problems and (2) determine whether students' own answers to such problems are correct. We review how inequalities arise in contemporary…
Difference functional inequalities and applications
Directory of Open Access Journals (Sweden)
Anna Szafrańska
2014-01-01
Full Text Available The paper deals with the difference inequalities generated by initial boundary value problems for hyperbolic nonlinear differential functional systems. We apply this result to investigate the stability of constructed difference schemes. The proof of the convergence of the difference method is based on the comparison technique, and the result for difference functional inequalities is used. Numerical examples are presented.
Non-commutative Hardy inequalities
DEFF Research Database (Denmark)
Hansen, Frank
2009-01-01
We extend Hardy's inequality from sequences of non-negative numbers to sequences of positive semi-definite operators if the parameter p satisfies 1 1. Applications to trace functions are given. We introduce the tracial geometric mean...... and generalize Carleman's inequality....
Social inequality and hip fracture
DEFF Research Database (Denmark)
Harvey, N. C.; Hansen, L.; Judge, A.
2015-01-01
Social inequality appears to be increasing in many countries. We explored whether risk of hip fracture was associated with markers of inequality and whether these relationships changed with time, using data from Danish Health Registries. Methods: All patients 60 years or older with a primary hip...
The Geography of Gender Inequality.
Fisher, Brendan; Naidoo, Robin
2016-01-01
Reducing gender inequality is a major policy concern worldwide, and one of the Sustainable Development Goals. However, our understanding of the magnitude and spatial distribution of gender inequality results either from limited-scale case studies or from national-level statistics. Here, we produce the first high resolution map of gender inequality by analyzing over 689,000 households in 47 countries. Across these countries, we find that male-headed households have, on average, 13% more asset wealth and 303% more land for agriculture than do female-headed households. However, this aggregate global result masks a high degree of spatial heterogeneity, with bands of both high inequality and high equality apparent in countries and regions of the world. Further, areas where inequality is highest when measured by land ownership generally are not the same areas that have high inequality as measured by asset wealth. Our metrics of gender inequality in land and wealth are not strongly correlated with existing metrics of poverty, development, and income inequality, and therefore provide new information to increase the understanding of one critical dimension of poverty across the globe.
Inequality constrained normal linear models
Klugkist, I.G.
2005-01-01
This dissertation deals with normal linear models with inequality constraints among model parameters. It consists of an introduction and four chapters that are papers submitted for publication. The first chapter introduces the use of inequality constraints. Scientists often have one or more theories
Kleinberg, Robert
2012-01-01
Consider a gambler who observes a sequence of independent, non-negative random numbers and is allowed to stop the sequence at any time, claiming a reward equal to the most recent observation. The famous prophet inequality of Krengel, Sucheston, and Garling asserts that a gambler who knows the distribution of each random variable can achieve at least half as much reward, in expectation, as a "prophet" who knows the sampled values of each random variable and can choose the largest one. We generalize this result to the setting in which the gambler and the prophet are allowed to make more than one selection, subject to a matroid constraint. We show that the gambler can still achieve at least half as much reward as the prophet; this result is the best possible, since it is known that the ratio cannot be improved even in the original prophet inequality, which corresponds to the special case of rank-one matroids. Generalizing the result still further, we show that under an intersection of p matroid constraints, the ...
Fast and scalable inequality joins
Khayyat, Zuhair
2016-09-07
Inequality joins, which is to join relations with inequality conditions, are used in various applications. Optimizing joins has been the subject of intensive research ranging from efficient join algorithms such as sort-merge join, to the use of efficient indices such as (Formula presented.)-tree, (Formula presented.)-tree and Bitmap. However, inequality joins have received little attention and queries containing such joins are notably very slow. In this paper, we introduce fast inequality join algorithms based on sorted arrays and space-efficient bit-arrays. We further introduce a simple method to estimate the selectivity of inequality joins which is then used to optimize multiple predicate queries and multi-way joins. Moreover, we study an incremental inequality join algorithm to handle scenarios where data keeps changing. We have implemented a centralized version of these algorithms on top of PostgreSQL, a distributed version on top of Spark SQL, and an existing data cleaning system, Nadeef. By comparing our algorithms against well-known optimization techniques for inequality joins, we show our solution is more scalable and several orders of magnitude faster. © 2016 Springer-Verlag Berlin Heidelberg
Bell's Inequalities for Any Spin
González-Robles, V. M.
John Ju Sakurai's classical book in quantum mechanics makes a very illuminative presentation that studies entangled states in a two spin s=1/2 particles system in a singlet state. A Bell's inequality emerges as a consequence. Bell's inequality is a relationship among observables that discriminates between Einstein's locality principle and the nonlocal point of view of orthodox quantum mechanics. Following Sakurai's style we propose, by making natural induction, a generalization for Bell's inequality for any two spin-s particles in a singlet state (s integer or half-integer). This inequality is expressed as a function of a θ parameter, which is a measure of the angle between two possible directions in which the spin is measured. Besides the expression for this general inequality we have found that - (a) for any finite half-integer spin Bell's inequality is violated for some interval of the θ-parameter. The right limit of this interval is fixed and equal to π/2, while the left one comes closer and closer to this value as spin number grows. A function fit shows clearly that the size of this θ-interval over which Bell's inequality is violated diminishes asymptotically to zero as 1/s1/2; (b) an analogous behavior for any finite integer spin. For large spins the disagreement between Einstein's locality principle and the nonlocal point of view in orthodox quantum mechanics disappears.
Happiness Inequality: How Much Is Reasonable?
Gandelman, Nestor; Porzecanski, Rafael
2013-01-01
We compute the Gini indexes for income, happiness and various simulated utility levels. Due to decreasing marginal utility of income, happiness inequality should be lower than income inequality. We find that happiness inequality is about half that of income inequality. To compute the utility levels we need to assume values for a key parameter that…
The Oxford handbook of economic inequality
Salverda, W.; Nolan, B.; Smeeding, T.M.
2009-01-01
The essential guide for students and researchers interested in economic inequality Contains 27 original research contributions from the top names in economic inequality. The Oxford Handbook of Economic Inequality presents a new and challenging analysis of economic inequality, focusing primarily on
Happiness Inequality: How Much Is Reasonable?
Gandelman, Nestor; Porzecanski, Rafael
2013-01-01
We compute the Gini indexes for income, happiness and various simulated utility levels. Due to decreasing marginal utility of income, happiness inequality should be lower than income inequality. We find that happiness inequality is about half that of income inequality. To compute the utility levels we need to assume values for a key parameter that…
Generalized Norms Inequalities for Absolute Value Operators
Directory of Open Access Journals (Sweden)
Ilyas Ali
2014-02-01
Full Text Available In this article, we generalize some norms inequalities for sums, differences, and products of absolute value operators. Our results based on Minkowski type inequalities and generalized forms of the Cauchy-Schwarz inequality. Some other related inequalities are also discussed.
Recurring Mean Inequality of Random Variables
Directory of Open Access Journals (Sweden)
Mingjin Wang
2008-06-01
Full Text Available A multidimensional recurring mean inequality is shown. Furthermore, we prove some new inequalities, which can be considered to be the extensions of those established inequalities, including, for example, the Polya-SzegÃƒÂ¶ and Kantorovich inequalities .
The Oxford handbook of economic inequality
W. Salverda; B. Nolan; T.M. Smeeding
2009-01-01
The essential guide for students and researchers interested in economic inequality Contains 27 original research contributions from the top names in economic inequality. The Oxford Handbook of Economic Inequality presents a new and challenging analysis of economic inequality, focusing primarily on e
DEFF Research Database (Denmark)
Dybbroe, Betina; Kappel, Nanna
The overall purpose of the research we want to present, is to discuss how social inequality in health can both be maintained and strengthened- and changed through the health system and health efforts. Our contribution provides a view of a special point of intersection in which the health system....... The health system has certain goals, rationalities and conditions for practice based on the medical paradigm, institutional logics, professional cultures and New Public. The health needs of the socially marginalised are, on the other hand, woven into complex social issues in which social and health aspects...... cannot be separated. Their conditions and needs are different and separate from the way the health system perceives of the “average” patient, and this is demonstrated in the encounter between this group of citizens and the health system. We will present short examples of how the health and welfare goals...
Unemployment Insurance and Inequality
DEFF Research Database (Denmark)
Larsen, Birthe; Waisman, Gisela
This paper examines the impact of higher unemployment insurance on the fraction of the work force paying into an unemployment insurance fond, wage differences and therefore inquality and education letting worker initial wealth being important for the decisions and implied values. As usually higher...... educated workers receive a lower fraction of their wages as unemployment insurance, we consider how the impact on labour market performance and wage differences and thereby inequality differ dependent on whether educated or uneducated workers receive higher benefits. The model can help shed light...... on the the puzzle why only some workers, for given educational level, pay into an unemployment insurance fond, the lower wealth mobility than income mobility as well as the relative compressed wage structure in countries with generous social assistance as well as unemployment insurance for low income workers...
DEFF Research Database (Denmark)
Dybbroe, Betina; Kappel, Nanna
The overall purpose of the research we want to present, is to discuss how social inequality in health can both be maintained and strengthened- and changed through the health system and health efforts. Our contribution provides a view of a special point of intersection in which the health system...... – as a system and organisation – meets the everyday life perspectives and experiences of socially marginalised people. The group of people in focus are drug users, and they are here regarded from their everyday life, as people who are, in principle, strangers to, and outside the system that they meet...... cannot be separated. Their conditions and needs are different and separate from the way the health system perceives of the “average” patient, and this is demonstrated in the encounter between this group of citizens and the health system. We will present short examples of how the health and welfare goals...
Simplest proof of Bell's inequality
Maccone, Lorenzo
2013-01-01
Bell's theorem is a fundamental result in quantum mechanics: it discriminates between quantum mechanics and all theories where probabilities in measurement results arise from the ignorance of pre-existing local properties. We give an extremely simple proof of Bell's inequality: a single figure suffices. This simplicity may be useful in the unending debate of what exactly the Bell inequality means, since the hypothesis at the basis of the proof become extremely transparent. It is also a useful didactic tool, as the Bell inequality can be explained in a single intuitive lecture.
Directory of Open Access Journals (Sweden)
Samantha Teixeira
2016-08-01
Full Text Available Black youth are more likely than white youth to grow up in poor, segregated neighborhoods. This racial inequality in the neighborhood environments of black youth increases their contact with hazardous neighborhood environmental features including violence and toxic exposures that contribute to racial inequality in youth health and well-being. While the concept of neighborhood effects has been studied at length by social scientists, this work has not been as frequently situated within an environmental justice (EJ paradigm. The present study used youth perceptions gained from in-depth interviews with youth from one Pittsburgh, Pennsylvania neighborhood to identify neighborhood environmental health hazards. We then mapped these youth-identified features to examine how they are spatially and racially distributed across the city. Our results suggest that the intersection of race and poverty, neighborhood disorder, housing abandonment, and crime were salient issues for youth. The maps show support for the youths’ assertions that the environments of black and white individuals across the city of Pittsburgh differ in noteworthy ways. This multi-lens, mixed-method analysis was designed to challenge some of the assumptions we make about addressing environmental inequality using youths’ own opinions on the issue to drive our inquiry.
Analytic inequalities and their applications in PDEs
Qin, Yuming
2017-01-01
This book presents a number of analytic inequalities and their applications in partial differential equations. These include integral inequalities, differential inequalities and difference inequalities, which play a crucial role in establishing (uniform) bounds, global existence, large-time behavior, decay rates and blow-up of solutions to various classes of evolutionary differential equations. Summarizing results from a vast number of literature sources such as published papers, preprints and books, it categorizes inequalities in terms of their different properties.
Poverty and health sector inequalities.
Wagstaff, Adam
2002-01-01
Poverty and ill-health are intertwined. Poor countries tend to have worse health outcomes than better-off countries. Within countries, poor people have worse health outcomes than better-off people. This association reflects causality running in both directions: poverty breeds ill-health, and ill-health keeps poor people poor. The evidence on inequalities in health between the poor and non-poor and on the consequences for impoverishment and income inequality associated with health care expenses is discussed in this article. An outline is given of what is known about the causes of inequalities and about the effectiveness of policies intended to combat them. It is argued that too little is known about the impacts of such policies, notwithstanding a wealth of measurement techniques and considerable evidence on the extent and causes of inequalities.
[Social inequality in home care].
Möller, A; Osterfeld, A; Büscher, A
2013-06-01
Social inequality in Germany is discussed primarily with regard to educational or social welfare issues. There is a political consensus that more action should be taken to ensure equality of chances and fulfillment of basic needs for everyone. In long-term care these considerations have not yet taken place and there are hardly any research studies in this field. However, the startling rise of the need for long-term care will definitely require a discussion of social inequality in various care arrangements. To learn more about social inequality in home care, a qualitative approach was used and 16 home care nurses were interviewed. Our study shows that many care recipients face numerous problems they cannot handle on their own, which may even worsen their situation. In addition, the results reveal that facing social inequalities place a burden on nurses and influence their work performance.
The Split Variational Inequality Problem
Censor, Yair; Reich, Simeon
2010-01-01
We propose a new variational problem which we call the Split Variational Inequality Problem (SVIP). It entails finding a solution of one Variational Inequality Problem (VIP), the image of which under a given bounded linear transformation is a solution of another VIP. We construct iterative algorithms that solve such problems, under reasonable conditions, in Hilbert space and then discuss special cases, some of which are new even in Euclidean space.
Inequality of opportunity in India
Singh, Ashish
2010-01-01
The paper associates inequality of opportunities with outcome differences that can be accounted by pre-determined circumstances which lie beyond the control of an individual, such as parental education, parental occupation, caste, religion and place of birth. The overall opportunity share estimates (parametric) of total consumption expenditure inequality due to a set of circumstances comprising of caste, religion, geographical region, parental education and parental occupation vary from 16% t...
Corruption, Inequality and Economic Growth
Ambar, Rabnawaz
2015-01-01
Corruption is worst curse of social system, which ruins all values of community and derails badly. It causes inequality in the whole chain, due to which some parties get too much profit, while other becomes miserable, leading to several street crimes as well as moral devaluations. Due to corruption and inequality, the economic growth is poorly affected, leading to imbalance in the society, causing lack of demand in the market, opportunities of labor and misbehavior of customers. Public can no...
Geometric inequalities methods of proving
Sedrakyan, Hayk
2017-01-01
This unique collection of new and classical problems provides full coverage of geometric inequalities. Many of the 1,000 exercises are presented with detailed author-prepared-solutions, developing creativity and an arsenal of new approaches for solving mathematical problems. This book can serve teachers, high-school students, and mathematical competitors. It may also be used as supplemental reading, providing readers with new and classical methods for proving geometric inequalities. .
Energy Technology Data Exchange (ETDEWEB)
Kruize, H.; Bouwman, A.A.
2004-07-01
As a part of a broader investigation on environmental inequity in the Netherlands, an exploratory case study on the socio-economic distribution on (perceived) environmental quality was carried out in the Rijnmond (industrial and urbanised) region in the western part of the Netherlands. Disparities in local environmental quality with respect to noise, air pollution, availability of public green areas, safety risks, and presence of waste disposal sites, were analysed separately and accumulatively across income levels making use of postal codes. Inhabitants' perception of environmental quality with respect to spatial and income differences was also ascertained and analysed. Recent, available national and regional databases and literature were used for the analyses. Disparities in local environmental quality were found to be linked to income level, especially for air pollution and the availability of public green areas. In addition, accumulation of environmental 'goods' (high-quality environmental conditions) were found more often in high-income than in low-income areas. Inhabitants of Rotterdam also mentioned littering and dog mess to be the greatest environmental problem. All income categories experienced annoyance, but from different, often area-specific sources. Considering these results, policy-makers are advised to take the effects of their policy on different income categories into account.
[Economic growth and health inequities].
Tapia Granados, José A
2013-01-01
This essay reviews the relation between health inequities and economic growth. The general meaning of these and ancillary concepts (economic development, health inequalities) is briefly reviewed. Some studies illustrating different hypotheses on the long-run historical evolution of health inequalities are presented, and three case studies -the United States in 1920-1940 and in recent years, Finland during the expansion of the 1980s and the recession of the 1990s- are reviewed to demonstrate the evolution of health inequalities during the periods of expansion and recession in markets economies that conform to the so-called business cycle. Health inequities between ethnic groups and social classes are often found in modern societies, and some of these disparities seem to be widening. Periods of economic expansion do not seem favorable for the lessening of health inequalities. Contrarily, and counter-intuitively, evidence rather suggests that it is during periods of recession that gaps in health between privileged and disadvantaged groups tend to narrow.
Eigenvalues, inequalities and ergodic theory
Institute of Scientific and Technical Information of China (English)
无
2000-01-01
This paper surveys the main results obtained during the period 1992-1999 on three aspects mentioned in the title. The first result is a new and general variational formula for the lower bound of spectral gap (i.e. the first non-trivial eigenvalue) of elliptic operators in Euclidean space, Laplacian on Riemannian manifolds or Markov chains (§1). Here, a probabilistic method -coupling method is adopted. The new formula is a dual of the classical variational formula. The last formula is actually equivalent to Poincaré inequality. To which, there are closely related logarithmic Sobolev inequality, Nash inequality, Liggett inequality and so on. These inequalities are treated in a unified way by using Cheeger's method which comes from Riemannian geometry. This consists of §2. The results on these two aspects are mainly completed by the author joint with F. Y. Wang. Furthermore, a diagram of the inequalities and the traditional three types of ergodicity is presented (§3). The diagram extends the ergodic theory of Markov processes. The details of the methods used in the paper will be explained in a subsequent paper under the same title.
Assessing Brazilian educational inequalities
Directory of Open Access Journals (Sweden)
Benoit Lorel
2008-03-01
Full Text Available This paper provides an evaluation of schooling inequality in Brazil using different indicators such as the Education Gini coefficient, the Education Standard Deviation and the Average number of Years of Schooling. We draw up a statistical description of Brazilian human capital dispersion in time over the last half century, across regions and states. Our analysis suggests several conclusions: 1 Strong reduction of educational inequalities measured by Education Gini index. 2 A three parts picture of Brazil seems to emerge, reflecting initial conditions. 3 High increase of the Average number of Years of Schooling. 4 A significant link between Education Gini and the average education length. 5 Education Standard Deviation leads to inverted results compared to Education Gini. 6 Brazilian data are consistent with an Education Kuznets curve if we consider Education Standard Deviation.Esse trababalho busca avaliar o grau de desigualdade educacional no Brasil baseado-se em diferentes indicatores tais como: o índice de Gini educacional, os anos médios de escolaridade e no desvio padrão educacional. Tenta-se colocar uma descrição estatistica da distribuição do capital humano no Brasil, incluindo as diferenças estaduais e regionais observadas durante a ultima metade do século. As conclusões da nossa análise são as seguintes: 1 Forte reduç ão das desigualdades educativas calculadas com o Gini educacional. 2 Um retrato tripartido do Brasil parece se formar refletindo as condições iniciais. 3 Um forte aumento dos níveis de escolarização. 4 Uma relação significativa entre o Gini educacional e os anos médios de estudos. 5 O desvio padrão educacional leva aos resultados inversos do Gini educacional. 6 Os dados brasileiros admitem uma curva de Kuznets educacional se considerarmos o desvio padrão educacional.
Handbook of functional equations functional inequalities
2014-01-01
As Richard Bellman has so elegantly stated at the Second International Conference on General Inequalities (Oberwolfach, 1978), “There are three reasons for the study of inequalities: practical, theoretical, and aesthetic.” On the aesthetic aspects, he said, “As has been pointed out, beauty is in the eye of the beholder. However, it is generally agreed that certain pieces of music, art, or mathematics are beautiful. There is an elegance to inequalities that makes them very attractive.” The content of the Handbook focuses mainly on both old and recent developments on approximate homomorphisms, on a relation between the Hardy–Hilbert and the Gabriel inequality, generalized Hardy–Hilbert type inequalities on multiple weighted Orlicz spaces, half-discrete Hilbert-type inequalities, on affine mappings, on contractive operators, on multiplicative Ostrowski and trapezoid inequalities, Ostrowski type inequalities for the Riemann–Stieltjes integral, means and related functional inequalities, Weighted G...
Recent Progresses in Characterising Information Inequalities
Directory of Open Access Journals (Sweden)
Terence Chan
2011-01-01
Full Text Available In this paper, we present a revision on some of the recent progresses made in characterising and understanding information inequalities, which are the fundamental physical laws in communications and compression. We will begin with the introduction of a geometric framework for information inequalities, followed by the first non-Shannon inequality proved by Zhang et al. in 1998 [1]. The discovery of this non-Shannon inequality is a breakthrough in the area and has led to the subsequent discovery of many more non-Shannon inequalities. We will also review the close relations between information inequalities and other research areas such as Kolmogorov complexity, determinantal inequalities, and group-theoretic inequalities. These relations have led to non-traditional techniques in proving information inequalities and at the same time made impacts back onthose related areas by the introduction of information-theoretic tools.
[Inequality, poverty and obesity].
Ferreira, Vanessa Alves; Silva, Aline Elizabeth; Rodrigues, Chrystiellen Ayana Aparecida; Nunes, Nádia Lúcia Almeida; Vigato, Tássia Cassimiro; Magalhães, Rosana
2010-06-01
National studies have been demonstrating the positive relationship among inequality, poverty and obesity revealing the singularities and complexity of the nutritional transition in Brazil. In this direction, the women constitute a vulnerable group to the dynamics of the obesity in the poverty context. Such fact imposes the theoretical deepening and the accomplishment of researches that make possible a larger approach with the phenomenon in subject. In this perspective, the study analyzed the daily life of poor and obese women, users of basic units of health of the city of Diamantina, Vale do Jequitinhonha, Minas Gerais State. The results revealed the complex relationship between feminine obesity and poverty. The cultural and material aspects of life, as well as the different feeding and body conceptions that demonstrated to be fundamental elements for the analysis of the multiple faces of the obesity among the investigated group. Facing these results it is appropriate to encourage public policies that promote equity widening the access of those groups to the main resources for the prevention and combat of obesity.
Flacke, Johannes; Schüle, Steffen Andreas; Köckler, Heike; Bolte, Gabriele
2016-07-13
Spatial differences in urban environmental conditions contribute to health inequalities within cities. The purpose of the paper is to map environmental inequalities relevant for health in the City of Dortmund, Germany, in order to identify needs for planning interventions. We develop suitable indicators for mapping socioeconomically-driven environmental inequalities at the neighborhood level based on published scientific evidence and inputs from local stakeholders. Relationships between socioeconomic and environmental indicators at the level of 170 neighborhoods were analyzed continuously with Spearman rank correlation coefficients and categorically applying chi-squared tests. Reclassified socioeconomic and environmental indicators were then mapped at the neighborhood level in order to determine multiple environmental burdens and hotspots of environmental inequalities related to health. Results show that the majority of environmental indicators correlate significantly, leading to multiple environmental burdens in specific neighborhoods. Some of these neighborhoods also have significantly larger proportions of inhabitants of a lower socioeconomic position indicating hotspots of environmental inequalities. Suitable planning interventions mainly comprise transport planning and green space management. In the conclusions, we discuss how the analysis can be used to improve state of the art planning instruments, such as clean air action planning or noise reduction planning towards the consideration of the vulnerability of the population.
Inequalities in health: definitions, concepts, and theories.
Arcaya, Mariana C; Arcaya, Alyssa L; Subramanian, S V
2015-01-01
Individuals from different backgrounds, social groups, and countries enjoy different levels of health. This article defines and distinguishes between unavoidable health inequalities and unjust and preventable health inequities. We describe the dimensions along which health inequalities are commonly examined, including across the global population, between countries or states, and within geographies, by socially relevant groupings such as race/ethnicity, gender, education, caste, income, occupation, and more. Different theories attempt to explain group-level differences in health, including psychosocial, material deprivation, health behavior, environmental, and selection explanations. Concepts of relative versus absolute; dose-response versus threshold; composition versus context; place versus space; the life course perspective on health; causal pathways to health; conditional health effects; and group-level versus individual differences are vital in understanding health inequalities. We close by reflecting on what conditions make health inequalities unjust, and to consider the merits of policies that prioritize the elimination of health disparities versus those that focus on raising the overall standard of health in a population.
Inequality, Poverty, Insecurity
Directory of Open Access Journals (Sweden)
Ilona
2015-04-01
Full Text Available The article discusses the economic connections of globalization, the roots of this phenomenon and its implications for presence. In the 70´, the economic bases of developed countries started changing. Since then the economic power of transnational corporations has risen. The TNCs change the international division of labor and divide the production cycle in an unprecedented manner. The economic sovereignty of countries weakens. All these factors influence the position of labor and consequently phenomena like unemployment, poverty and uncertainty. Since the 70´s the wage share, one of the most important macroeconomic indicators, has started sinking in developed contries. This means that a higher proportion of output goes to capital, i.e. to profits. Unemployment in developed countries has also changed its form since the 70´s – it has become structural and long-term one. Forms of precarious labor increase significantly and in the developed countries (especially obviously in the US the phenomenon of working poverty appears. Hand in hand with these phenomena goes the increase in inequality, of all developed countries again mostly in the US. The implications are not only social, such as the preservation of elite, i.e. the tendency towards oligarchization and decrease in social mobility. These implications are also connected with the debt phenomenon, which serves as a factor of discipline and system preservation, or respectively the postponement of weakened purchasing power of the lower and middle income classes. The rise in insecurity and the impossibility to identify oneself with the job has its political implications as well. In the context of reflecting the problem itself it takes form of various social protests (such as Occupy Wall Street, but also can be shown in the rise of various xenophobe and extreme right movements that destabilize the whole political system, including doubting the regime of democracy as such.
Padilla, Cindy M; Kihal-Talantikite, Wahida; Vieira, Verónica. M; Rosselo, Philippe; LeNir, Geraldine; Zmirou-Navier, Denis; Deguen, Severine
2015-01-01
Several studies have documented that more deprived populations tend to live in areas characterized by higher levels of environmental pollution. Yet, time trends and geographic patterns of this disproportionate distribution of environmental burden remain poorly assessed, especially in Europe. We investigated the spatial and temporal relationship between ambient air nitrogen dioxide (NO2) concentrations and socioeconomic and demographic data in four French Metropolitan Areas (Lille in the north, Lyon in the center, Marseille in the south, and Paris) during two different time periods. The geographical unit used was the census block. The dependent variable was the NO2 annual average concentration (µg/m3) per census block, and the explanatory variables were a neighborhood deprivation index and socioeconomic and demographic data derived from the national census. Generalized additive models were used to account for spatial autocorrelation. We found that the strength and direction of the association between deprivation and NO2 estimates varied between cities. In Paris, census blocks with the higher social categories are exposed to higher mean concentrations of NO2. However, in Lille and Marseille, the most deprived census blocks are the most exposed to NO2. In Lyon, the census blocks in the middle social categories were more likely to have higher concentrations than in the lower social categories. Despite a general reduction in NO2 concentrations over the study period in the four metropolitan areas, we found contrasting results in the temporal trend of environmental inequalities. There is clear evidence of city-specific spatial and temporal environmental inequalities that relate to the historical socioeconomic make-up of the cities and its evolution. Hence, general statements about environmental and social inequalities may not properly characterize situations where people of higher social status find the benefits of living in a specific city outweigh the detriment of
Directory of Open Access Journals (Sweden)
Elzbieta Grochowska Niedworok
2015-06-01
Full Text Available Health inequalities: differences in health status or in the distribution of health determinants between different population groups. Some health inequalities are attributable to biological variations or free choice and others are attributable to the external environment and conditions mainly outside the control of the individuals concerned. 347 million people worldwide have diabetes. In 2012 an estimated 1.5 million deaths were directly caused by diabetes. More than 80% of diabetes deaths occur in low- and middle-income countries. WHO projects that diabetes will be the 7th leading cause of death in 2030. Healthy diet, regular physical activity and maintaining a normal body weight can prevent or delay the onset of type 2 diabetes. Risk factors: 1. Age- the prevalence of diabetes rises steeply with age: *one in twenty people over the age of 65 have diabetes, *and this rises to one in five people over the age of 85 years. The diagnosis of diabetes may be delayed in older people, with symptoms of diabetes being wrongly attributed to ageing. 2. Ethnic: type 2 diabetes is up to six times more common in people of South Asian descent and up to three times more common in those of African and African-Caribbean descent then in the white population. It is also more common in people of Chinese descent and other non-Caucasian groups. 3. Gender: the frequency of diabetes usually is higher in men than in women. This may be because gender compounds other aspects of inequality- women often bear the brunt of poverty, and socio-economic differences in the prevalence of diabetes are more marked for women, probably because of differences in smoking rates, food choices and the prevalence of obesity. 4. Overweight/Obesity: every 1 kg/m2 more causes increase risk: cardiovascular diseases 2%, coronary artery disease- 3% , myocardial infarction- 5% , heart failure- 5% , peripheral vascular disease- 5%. Health inqualities important in diabetes -- modifiable: social
New dimensions of educational inequality
DEFF Research Database (Denmark)
Weiss, Felix; Roksa, Josipa
2016-01-01
Expansion of an educational system is often accompanied by differentiation. In the U.S., expansion of higher education included an increasing reliance on work. For a growing proportion of students, including those of traditional college-going age, going to college also involved going to work....... This raises a crucial question of whether this form of differentiation has altered the patterns of inequality in higher education. While growing proportions of disadvantaged students are entering higher education, are they increasingly depending on work during their studies? We address this question using...... while enrolled in college in two time periods. Presented analyses reveal a substantial amount of stability in social class inequality over time, with a modest increase in inequality among students attending four-year institutions full-time. Implications of these findings for policy and research...
SYSTEM OF GENERALIZED VECTOR VARIATIONAL INEQUALITIES
Institute of Scientific and Technical Information of China (English)
Fang Yaping; Huang Nanjing
2005-01-01
In this paper, the authors introduce and study system of generalized vector variational inequalities. Under suitable conditions, the existence of solutions for system of generalized vector variational inequalities is presented by Kakutani-Fan-Glicksberg fixed point theorem.
Concentration inequalities for sums and martingales
Bercu, Bernard; Rio, Emmanuel
2015-01-01
The purpose of this book is to provide an overview of historical and recent results on concentration inequalities for sums of independent random variables and for martingales. The first chapter is devoted to classical asymptotic results in probability such as the strong law of large numbers and the central limit theorem. Our goal is to show that it is really interesting to make use of concentration inequalities for sums and martingales. The second chapter deals with classical concentration inequalities for sums of independent random variables such as the famous Hoeffding, Bennett, Bernstein and Talagrand inequalities. Further results and improvements are also provided such as the missing factors in those inequalities. The third chapter concerns concentration inequalities for martingales such as Azuma-Hoeffding, Freedman and De la Pena inequalities. Several extensions are also provided. The fourth chapter is devoted to applications of concentration inequalities in probability and statistics.
The analysis and geometry of Hardy's inequality
Balinsky, Alexander A; Lewis, Roger T
2015-01-01
This volume presents advances that have been made over recent decades in areas of research featuring Hardy's inequality and related topics. The inequality and its extensions and refinements are not only of intrinsic interest but are indispensable tools in many areas of mathematics and mathematical physics. Hardy inequalities on domains have a substantial role and this necessitates a detailed investigation of significant geometric properties of a domain and its boundary. Other topics covered in this volume are Hardy- Sobolev-Maz’ya inequalities; inequalities of Hardy-type involving magnetic fields; Hardy, Sobolev and Cwikel-Lieb-Rosenbljum inequalities for Pauli operators; the Rellich inequality. The Analysis and Geometry of Hardy’s Inequality provides an up-to-date account of research in areas of contemporary interest and would be suitable for a graduate course in mathematics or physics. A good basic knowledge of real and complex analysis is a prerequisite.
Martingale Rosenthal inequalities in symmetric spaces
Energy Technology Data Exchange (ETDEWEB)
Astashkin, S V [Samara State University, Samara (Russian Federation)
2014-12-31
We establish inequalities similar to the classical Rosenthal inequalities for sequences of martingale differences in general symmetric spaces; a central role is played here by the predictable quadratic characteristic of a martingale. Bibliography: 26 titles.
Inequalities between similarities for numerical data
Warrens, Matthijs J.
2016-01-01
Similarity measures are entities that can be used to quantify the similarity between two vectors with real numbers. We present inequalities between seven well known similarities. The inequalities are valid if the vectors contain non-negative real numbers.
New Integral Inequalities through Invexity with Applications
Directory of Open Access Journals (Sweden)
Shahid Qaisar
2014-04-01
Full Text Available In this paper, we obtain some inequalities of Simpson’s inequality type for functions whose derivatives absolute values are quasi-preinvex function. Applications to some special means are considered.
Some integral inequalities for logarithmically convex functions
Directory of Open Access Journals (Sweden)
Mevlüt Tunç
2014-07-01
Full Text Available The main aim of the present note is to establish new Hadamard like integral inequalities involving log-convex function. We also prove some Hadamard-type inequalities, and applications to the special means are given.
Global interpersonal inequality: Trends and measurement
DEFF Research Database (Denmark)
Niño-Zarazúa, Miguel; Roope, Laurence; Tarp, Finn
This paper discusses different approaches to the measurement of global interpersonal in equality. Trends in global interpersonal inequality during 1975-2005 are measured using data from UNU-WIDER’s World Income Inequality Database. In order to better understand the trends, global interpersonal...... inequality is decomposed into within-country and between-country inequality. The paper illustrates that the relationship between global interpersonal inequality and these constituent components is a complex one. In particular, we demonstrate that the changes in China’s and India’s income distributions over...... the past 30 years have simultaneously caused inequality to rise domestically in those countries, while tending to reduce global inter-personal inequality. In light of these findings, we reflect on the meaning and policy relevance of global vis-à-vis domestic inequality measures...
The sociogeometry of inequality: Part I
Eliazar, Iddo
2015-05-01
The study of socioeconomic inequality is of prime economic and social importance, and the key quantitative gauges of socioeconomic inequality are Lorenz curves and inequality indices-the most notable of the latter being the popular Gini index. In this series of papers we present a sociogeometric framework to the study of socioeconomic inequality. In this part we shift from the notion of Lorenz curves to the notion of Lorenz sets, define inequality indices in terms of Lorenz sets, and introduce and explore a collection of distance-based and width-based inequality indices stemming from the geometry of Lorenz sets. In particular, three principle diameters of Lorenz sets are established as meaningful quantitative gauges of socioeconomic inequality-thus indeed providing a geometric quantification of socioeconomic inequality.
Maximal inequalities for demimartingales and their applications
Institute of Scientific and Technical Information of China (English)
WANG XueJun; HU ShuHe
2009-01-01
In this paper,we establish some maximal inequalities for demimartingales which generalize and improve the results of Christofides.The maximal inequalities for demimartingales are used as key inequalities to establish other results including Doob's type maximal inequality for demimartingales,strong laws of large numbers and growth rate for demimartingales and associated random variables.At last,we give an equivalent condition of uniform integrability for demisubmartingales.
Maximal inequalities for demimartingales and their applications
Institute of Scientific and Technical Information of China (English)
无
2009-01-01
In this paper, we establish some maximal inequalities for demimartingales which generalize and improve the results of Christofides. The maximal inequalities for demimartingales are used as key inequalities to establish other results including Doob’s type maximal inequality for demimartingales, strong laws of large numbers and growth rate for demimartingales and associated random variables. At last, we give an equivalent condition of uniform integrability for demisubmartingales.
Two-Point Fuzzy Ostrowski Type Inequalities
Directory of Open Access Journals (Sweden)
Muhammad Amer Latif
2013-08-01
Full Text Available Two-point fuzzy Ostrowski type inequalities are proved for fuzzy Hölder and fuzzy differentiable functions. The two-point fuzzy Ostrowski type inequality for M-lipshitzian mappings is also obtained. It is proved that only the two-point fuzzy Ostrowski type inequality for M-lipshitzian mappings is sharp and as a consequence generalize the two-point fuzzy Ostrowski type inequalities obtained for fuzzy differentiable functions.
Sources of income inequality in Ireland
Madden, David
1996-01-01
This paper analyses inequality in Ireland via a decomposition of the Gini coefficient by source of income. Using data from the Irish Household Budget Survey of 1987, seventeen components of disposable income are identified and their contribution to inequality evaluated. Their contribution to inequality at the margin is also calculated. The paper also examines how policy changes addressing inequality can be assessed in terms of their effect upon both equality and output via an abbreviated soci...
PAC-Bayesian Inequalities for Martingales
Seldin, Yevgeny; Cesa-Bianchi, Nicolò; Shawe-Taylor, John; Auer, Peter
2011-01-01
We present a set of high-probability inequalities that control the concentration of weighted averages of multiple (possibly uncountably many) simultaneously evolving and interdependent martingales. We also present a comparison inequality that bounds expectation of a convex function of martingale difference type variables by expectation of the same function of independent Bernoulli variables. This inequality is applied to derive a tighter analog of Hoeffding-Azuma inequality.
Bell's inequality without alternative settings
Cabello, A
2003-01-01
A suitable generalized measurement described by a four-element positive operator valued measure (POVM) on each particle of a two-qubit system in the singlet state is, from the point of view of Einstein, Podolsky, and Rosen's (EPR's) criterion of elements of reality, equivalent to a random selection between two alternative projective measurements. It is shown that an EPR-experiment with a fixed POVM on each particle provides a violation of Bell's inequality without requiring local observers to choose between the alternatives. This approach could be useful for designing a loophole-free test of Bell's inequality.
Homotopy Method for Variational Inequalities
Institute of Scientific and Technical Information of China (English)
无
2001-01-01
@@Solving a finite-dimensional variational inequality is to find a vector x* ∈ X Rn such that where X is a nonempty, closed and convex subset of Rn and F is a mapping from Rn to itself,denoted by VI(X, F). The variational inequality problem (VIP) has had many successful practical applications in the last three decades. It has been used to formulate and investigate equilibrium models arising in economics, transportation, regional science and operations research. So far, a large number of existence conditions have been developed in the literature. Harker and Pang[1] gave excellent surveys of theories, methods and applications of VIPs.
Directory of Open Access Journals (Sweden)
Teychenne Megan
2012-01-01
Full Text Available Abstract Introduction Socio-economically disadvantaged women are at a greater risk of spending excess time engaged in television viewing, a behavior linked to several adverse health outcomes. However, the factors which explain socio-economic differences in television viewing are unknown. This study aimed to investigate the contribution of intrapersonal, social and environmental factors to mediating socio-economic (educational inequalities in women's television viewing. Methods Cross-sectional data were provided by 1,554 women (aged 18-65 who participated in the 'Socio-economic Status and Activity in Women study' of 2004. Based on an ecological framework, women self-reported their socio-economic position (highest education level, television viewing, as well as a number of potential intrapersonal (enjoyment of television viewing, preference for leisure-time sedentary behavior, depression, stress, weight status, social (social participation, interpersonal trust, social cohesion, social support for physical activity from friends and from family and physical activity environmental factors (safety, aesthetics, distance to places of interest, and distance to physical activity facilities. Results Multiple mediating analyses showed that two intrapersonal factors (enjoyment of television viewing and weight status and two social factors (social cohesion and social support from friends for physical activity partly explained the educational inequalities in women's television viewing. No physical activity environmental factors mediated educational variations in television viewing. Conclusions Acknowledging the cross-sectional nature of this study, these findings suggest that health promotion interventions aimed at reducing educational inequalities in television viewing should focus on intrapersonal and social strategies, particularly providing enjoyable alternatives to television viewing, weight-loss/management information, increasing social cohesion in the
Does Income Inequality Reduce Growth? Does Income Inequality Reduce Growth?
Directory of Open Access Journals (Sweden)
Pablo Serra
1993-03-01
Full Text Available This paper examines the effects of inequality on the rate of growth of an economy. We assume that it is easier for an individual to achieve a given level of human capiral the higher society's average level of human capiral. Agents with above average human capital find it relatively more costly to acquire additional human capital, while agents with below average human capital find it relatively cheaper to acquire additional human capital. The existence of such an externality implies that even when where is no income inequality agents will behave inefficiently. In order to achieve the optimal growth rate, a lump sum tax must be combined with a subsidy to investment in education. When incomes are heterogenous, we show that income convergence is attained in the long run. We also show that the effect of inequality on the growth rate of an economy depends on the functional form of the externality. When the externality junction is concave, income dispersion reduces the rate of growth. On the other hand, when the externality function is convex, the effect is ambiguous. Does Income Inequality Reduce Growth?
Educational Inequalities and Opportunity in Economic Perspective.
Bowman, Mary Jean
1991-01-01
Discusses educational equality and inequality from an economist's perspective. Considers human capital theory and interpretation of life cycles in learning and earning. Addresses schooling and experience components of changes in the inequality of earned incomes, educational expansion, and inequalities in schooling. Explores the roles of skill…
The geometry of violation of Bell's inequality
Institute of Scientific and Technical Information of China (English)
Weihan Tan(谭维翰); Qizhi Guo(郭奇志)
2003-01-01
The purpose of this paper is to deduce an analytical expression for the violation of Bell's inequality by quantum theory and plane trigonometry, and expound the violation and maximal violation of the first,second type Bell's inequality in detail. Further, we find out the sufficient conditions for the region in which Bell's inequalities are violated.
Some Inequalities for Simplices and Their Applications
Institute of Scientific and Technical Information of China (English)
杨世国
2005-01-01
Using theory of distance geometry and analytic method, the problem on relations about the volumes of some simplices is studied, and some new inequalities for the volumes of simplices are established. As special cases, an inequality for the volume of the pedal simplex of a simplex and other inequalities for simplices are gotten.
The intergenerational Inequality of Health in China
DEFF Research Database (Denmark)
Eriksson, Tor; Pan, Jay; Qin, Xuezheng
2014-01-01
. The Blinder–Oaxaca decomposition further indicates that 15% to 27% of the rural–urban inequality of child health is attributable to the endowed inequality from their parents' health. An important policy implication of our study is that the increasing inequality of income and opportunity in China can...
M.P. García-Gómez (Pilar); E. Schokkaert (Schokkaert); T.G.M. van Ourti (Tom); T.M. Bago d'Uva (Teresa)
2014-01-01
textabstractWe apply the theory of inequality of opportunity to the measurement of inequity in mortality. Using a rich data set linking records of mortality and health events to survey data on lifestyles for the Netherlands (1998-2007), we test the sensitivity of estimated inequity to different
Inequalities for polars of mixed projection bodies
Institute of Scientific and Technical Information of China (English)
LENG Gangsong; ZHAO Changjian; HE Binwu; LI Xiaoyan
2004-01-01
In 1993 Lutwak established some analogs of the Brunn-Minkowsi inequality and the Aleksandrov-Fenchel inequality for mixed projection bodies. In this paper, following Lutwak, we give their polars forms. Further, as applications of our methods, we give a generalization of Pythagorean inequality for mixed volumes.
M.P. García-Gómez (Pilar); E. Schokkaert (Schokkaert); T.G.M. van Ourti (Tom); T.M. Bago d'Uva (Teresa)
2014-01-01
textabstractWe apply the theory of inequality of opportunity to the measurement of inequity in mortality. Using a rich data set linking records of mortality and health events to survey data on lifestyles for the Netherlands (1998-2007), we test the sensitivity of estimated inequity to different norm
Remainder terms for some quantum entropy inequalities
Energy Technology Data Exchange (ETDEWEB)
Carlen, Eric A.; Lieb, Elliott H. [Department of Mathematics, Hill Center, Rutgers University, 110 Frelinghuysen Road, Piscataway, New Jersey 08854-8019 (United States); Departments of Mathematics and Physics, Jadwin Hall, Princeton University, Washington Road, Princeton, New Jersey 08544-0001 (United States)
2014-04-15
We consider three von Neumann entropy inequalities: subadditivity; Pinsker's inequality for relative entropy; and the monotonicity of relative entropy. For these we state conditions for equality, and we prove some new error bounds away from equality, including an improved version of Pinsker's inequality.
Noncommutative and vector-valued Rosenthal inequalities
Dirksen, S.
2011-01-01
This thesis is dedicated to the study of a class of probabilistic inequalities, called Rosenthal inequalities. These inequalities provide two-sided estimates for the p-th moments of the sum of a sequence of independent, mean zero random variables in terms of a suitable norm on the sequence itself. R
Nonlinear Inequalities and Entropy-Concurrence Plane
Bovino, F A
2006-01-01
Nonlinear inequalities based on the quadratic Renyi entropy for mixed two-qubit states are characterized on the Entropy-Concurrence plane. This class of inequalities is stronger than Clauser-Horne-Shimony-Holt (CHSH) inequalities and, in particular, are violated "in toto" by the set of Type I Maximally-Entangled-Mixture States (MEMS I).
Urban Inequality. NBER Working Paper No. 14419
Glaeser, Edward L.; Resseger, Matthew G.; Tobio, Kristina
2008-01-01
What impact does inequality have on metropolitan areas? Crime rates are higher in places with more inequality, and people in unequal cities are more likely to say that they are unhappy. There is also a negative association between local inequality and the growth of both income and population, once we control for the initial distribution of skills.…
Multiple inequalities, intersectionality and the European Union
Verloo, M.M.T.
2006-01-01
The European Union (EU), a pioneer in gender equality policies, is moving from predominantly attending to gender inequality, towards policies that address multiple inequalities. This article argues that there are tendencies at EU level to assume an unquestioned similarity of inequalities, to fail to
On the measurement of inequalities in health
A. Wagstaff (Adam); P. Paci (Paci); E.K.A. van Doorslaer (Eddy)
1991-01-01
textabstractThis paper offers a critical appraisal of the various methods employed to date to measure inequalities in health. It suggests that only two of these—the slope index of inequality and the concentration index—are likely to present an accurate picture of socioeconomic inequalities in health
Research on Inequalities Exists in the Workplace
Institute of Scientific and Technical Information of China (English)
布乃鹏; 樊晶晶; 刘淑华
2013-01-01
The is ue of inequalities exists in the workplace has been widely debated in our community recently. And then this essay wil argue inequalities exist in the workplace, in terms of ethnic, gender, and disability. This es ay would of er four perspectives about the view inequalities exist in the workplace and discuss the response from the state, employers and unions.
The relation and development of expenditure inequality and income inequality of Czech households
Directory of Open Access Journals (Sweden)
Malá Zdeňka
2012-01-01
Full Text Available The paper focuses on an analysis of income inequality and expenditure inequality of households in the Czech Republic for the period 2001 - 2009, based on data from the Statistics of Family Accounts. The basic methodological tool is the Gini coefficient and its decomposition according to individual categories of consumer expenditure. The conducted research reaches the conclusion that income inequality is higher than inequality in consumer expenditure, and income inequality for the analyzed period is growing at a higher rate than expenditure inequality. Tax-transfer tools effectively eliminate income inequality, but nevertheless inequality of disposable income exceeds the inequality of net monetary expenditure. As regards the mutual relationship of income inequality and expenditure inequality, expenditure inequality within a period of economic growth and boom copied the course of income inequality, while within a period of economic decline and recession both inequalities showed a completely different development. The main determinant affecting income inequality may be considered to be non-consumer expenditure, particularly expenditure for the acquisition of real estate.
Weighted norm inequalities and indices
Directory of Open Access Journals (Sweden)
Joaquim Martín
2006-01-01
Full Text Available We extend and simplify several classical results on weighted norm inequalities for classical operators acting on rearrangement invariant spaces using the theory of indices. As an application we obtain necessary and sufficient conditions for generalized Hardy type operators to be bounded on ?p(w, ?p,8(w, Gp(w and Gp,8(w.
Does Microfinance Reduce Income Inequality?
Hermes, Niels
2014-01-01
This study addresses the question whether participation of the poor in microfinance contributes to reducing a country’s level of income inequality. Using data from 70 developing countries, we show that higher levels of microfinance participation are indeed associated with a reduction of the income g
Another China – other inequalities
DEFF Research Database (Denmark)
Bagger-Petersen, Mai Corlin
2013-01-01
Gender inequality is not simply the unfair treatment of men and women. It is a complex issue tied to a whole range of disparities in society at large, argues Professor Min Dongchao, who has just been awarded a Marie Curie International Incoming Fellowship and will be a guest professor at the Nordic...
Does Microfinance Reduce Income Inequality?
Hermes, Niels
2014-01-01
This study addresses the question whether participation of the poor in microfinance contributes to reducing a country’s level of income inequality. Using data from 70 developing countries, we show that higher levels of microfinance participation are indeed associated with a reduction of the income
Earnings, employment and income inequality
Salverda, W.; Haas, C.; Salverda, W.; Nolan, B.; Checchi, D.; Marx, I.; McKnight, A.; Tóth, I.G.; van de Werfhorst, H.
2014-01-01
This chapter demonstrates the importance of labour earnings for income and income inequality -also among top incomes. With a focus on employees and Europe, the chapter elaborates on the relationship between the household income distribution and the individual earnings distribution. On the one hand,
Two polynomial division inequalities in
Directory of Open Access Journals (Sweden)
Goetgheluck P
1998-01-01
Full Text Available This paper is a first attempt to give numerical values for constants and , in classical estimates and where is an algebraic polynomial of degree at most and denotes the -metric on . The basic tools are Markov and Bernstein inequalities.
Observability inequalities for thin shells
Institute of Scientific and Technical Information of China (English)
柴树根; 姚鹏飞
2003-01-01
We consider the exact controllability problem from boundary for thin shells. Under some check-able geometric assumptions on the middle surface, we establish the observability inequalities via the Bochnertechnique for the Dirichlet control and the Neumann control problems. We also give several examples to verifythe geometric assumptions.
Bell inequalities based on equalities
Cabello, A
2006-01-01
We show that bipartite Bell inequalities based on the Einstein-Podolsky-Rosen criterion for elements of reality and derived from the properties of some hyperentangled states allow feasible experimental verifications of the fact that quantum nonlocality grows exponentially with the size of the subsystems, and Bell loophole-free tests with currently available photo-detection efficiencies.
Another China – other inequalities
DEFF Research Database (Denmark)
Bagger-Petersen, Mai Corlin
2013-01-01
Gender inequality is not simply the unfair treatment of men and women. It is a complex issue tied to a whole range of disparities in society at large, argues Professor Min Dongchao, who has just been awarded a Marie Curie International Incoming Fellowship and will be a guest professor at the Nordic...
Collective Consumption ＆ Social Inequality
Institute of Scientific and Technical Information of China (English)
CaiHe; HeYanling,; ZhaoBaohua; DavidKelly
2004-01-01
Research on collective consumption is a basic starting point for urban sociologists exploring differentiation and inequality in today's urban society. The emergence of collective consumption resulted from conflict between the socialization of workforce production and privatization of surplus value produced by labor in a capitalist society.
Voice, Schooling, Inequality, and Scale
Collins, James
2013-01-01
The rich studies in this collection show that the investigation of voice requires analysis of "recognition" across layered spatial-temporal and sociolinguistic scales. I argue that the concepts of voice, recognition, and scale provide insight into contemporary educational inequality and that their study benefits, in turn, from paying attention to…
Morse Inequalities for Orbifold Cohomology
DEFF Research Database (Denmark)
A. Hepworth, Richard
2009-01-01
This paper begins the study of Morse theory for orbifolds, or more precisely for differentiable Deligne-Mumford stacks. The main result is an analogue of the Morse inequalities that relates the orbifold Betti numbers of an almost-complex orbifold to the critical points of a Morse function on the ...
Inequalities theory of majorization and its applications
Olkin, Ingram
1980-01-01
Although they play a fundamental role in nearly all branches of mathematics, inequalities are usually obtained by ad hoc methods rather than as consequences of some underlying ""theory of inequalities."" For certain kinds of inequalities, the notion of majorization leads to such a theory that is sometimes extremely useful and powerful for deriving inequalities. Moreover, the derivation of an inequality by methods of majorization is often very helpful both for providing a deeper understanding and for suggesting natural generalizations.Anyone wishing to employ majorization as a tool in applicati
Extensions of the Heisenberg-Weyl inequality
Directory of Open Access Journals (Sweden)
H. P. Heinig
1986-01-01
Full Text Available In this paper a number of generalizations of the classical Heisenberg-Weyl uncertainty inequality are given. We prove the n-dimensional Hirschman entropy inequality (Theorem 2.1 from the optimal form of the Hausdorff-Young theorem and deduce a higher dimensional uncertainty inequality (Theorem 2.2. From a general weighted form of the Hausdorff-Young theorem, a one-dimensional weighted entropy inequality is proved and some weighted forms of the Heisenberg-Weyl inequalities are given.
On the Penrose inequality along null hypersurfaces
Mars, Marc
2015-01-01
The null Penrose inequality, i.e. the Penrose inequality in terms of the Bondi energy, is studied by introducing a funtional on surfaces and studying its properties along a null hypersurface $\\Omega$ extending to past null infinity. We prove a general Penrose-type inequality which involves the limit at infinity of the Hawking energy along a specific class of geodesic foliations called Geodesic Asymptotic Bondi (GAB), which are shown to always exist. Whenever, this foliation approaches large spheres, this inequality becomes the null Penrose inequality and we recover the results of Ludvigsen-Vickers and Bergqvist. By exploiting further properties of the functional along general geodesic foliations, we introduce an approach to the null Penrose inequality called Renormalized Area Method and find a set of two conditions which implies the validity of the null Penrose inequality. One of the conditions involves a limit at infinity and the other a condition on the spacetime curvature along the flow. We investigate the...
The sociogeometry of inequality: Part II
Eliazar, Iddo
2015-05-01
The study of socioeconomic inequality is of prime economic and social importance, and the key quantitative gauges of socioeconomic inequality are Lorenz curves and inequality indices - the most notable of the latter being the popular Gini index. In this series of papers we present a sociogeometric framework to the study of socioeconomic inequality. In this part we focus on the gap between the rich and the poor, which is quantified by gauges termed disparity curves. We shift from disparity curves to disparity sets, define inequality indices in terms of disparity sets, and introduce and explore a collection of distance-based and width-based inequality indices stemming from the geometry of disparity sets. We conclude with mean-absolute-deviation (MAD) representations of the inequality indices established in this series of papers, and with a comparison of these indices to the popular Gini index.
INEQUITY AND INEQUALITY IN HEALTH CARE UTILIZATION IN INDONESIA, 1997
Directory of Open Access Journals (Sweden)
Ni Ketut Aryastami
2012-10-01
Full Text Available So far, limited research has been done on inequity and inequality in health care utilisation in Indonesia. As anywhere else in the world, wealth and education are unequally distributed over the population. Need of health care is a major determinant which should affect use to health services. Using data from the 1997 Indonesia Demographic and Health Survey and the concentration index approach, models of access to preventive care in children age 12-23 months, pregnancy related care for mothers as well as curative care for children five years old or less is estimated. Asset scores are used to analyse whether health care utilisation of children and mothers is correlated to household wealth. Significant inequity has been found in the utilisation of health care by wealth. Access to preventive care for children immunisation and pregnancy related care (tetanus injection, first visit for antenatal care, place for antenatal care, place for delivery, professional assistance for delivery as well as curative care (medical treatment for diarrhoea and ARJ tend to be significantly different by household wealth. Wealthier mothers use more health services than poorer mothers do. An exception to this rule is treatment for diarrhoea and ARI. This may be explained by measurement error. Need (health care, urban-rural residence and education are confounding that are found to reduce the concentration indices for use. Horizontal equity principle is violated, in the sense that mothers in equal need are found to be treated unequally.
INEQUITY IN THE FACE OF DEATH.
García-Gómez, Pilar; Schokkaert, Erik; Van Ourti, Tom; Bago d'Uva, Teresa
2014-07-30
We apply the theory of inequality of opportunity to the measurement of inequity in mortality. Using a rich data set linking records of mortality and health events to survey data on lifestyles for the Netherlands (1998-2007), we test the sensitivity of estimated inequity to different normative choices and conclude that the location of the responsibility cut is of vital importance. Traditional measures of inequity (such as socioeconomic and regional inequalities) only capture part of more comprehensive notions of unfairness. We show that distinguishing between different routes via which variables might be associated to mortality is essential to the application of different normative positions. Using the fairness gap (direct unfairness), measured inequity according to our implementation of the 'control' and 'preference' approaches ranges between 0.0229 and 0.0239 (0.0102-0.0218), while regional and socioeconomic inequalities are smaller than 0.0020 (0.0001). The usual practice of standardizing for age and gender has large effects on measured inequity. Finally, we use our model to measure inequity in simulated counterfactual situations. While it is a big challenge to identify all causal relationships involved in this empirical context, this does not affect our main conclusions regarding the importance of normative choices in the measurement of inequity. Copyright © 2014 John Wiley & Sons, Ltd. Copyright © 2014 John Wiley & Sons, Ltd.
Inequities in Chinese Health Services
Directory of Open Access Journals (Sweden)
Heather Mullins-Owens
2015-03-01
Full Text Available The Chinese health system was once held up as a model for providing universal health care in the developing world in the 1970s, only to have what is now considered one of the least equitable systems in the world according to the World Health Organization. This article begins with a brief look at what equity in health services entails, and considers the inequities in access to health services in China among different segments of the population. This article will consider challenges the current inequities may present to China in the near future if reforms are not implemented. Finally, it will take a look at reforms made by China’s neighbors, Singapore and Thailand, which made their health care more equitable, affordable, and sustainable.
[Social inequalities in maternal health].
Azria, E; Stewart, Z; Gonthier, C; Estellat, C; Deneux-Tharaux, C
2015-10-01
Although medical literature on social inequalities in perinatal health is qualitatively heterogeneous, it is quantitatively important and reveals the existence of a social gradient in terms of perinatal risk. However, published data regarding maternal health, if also qualitatively heterogeneous, are relatively less numerous. Nevertheless, it appears that social inequalities also exist concerning severe maternal morbidity as well as maternal mortality. Analyses are still insufficient to understand the mechanisms involved and explain how the various dimensions of the women social condition interact with maternal health indicators. Inadequate prenatal care and suboptimal obstetric care may be intermediary factors, as they are related to both social status and maternal outcomes, in terms of maternal morbidity, its worsening or progression, and maternal mortality.
Divergence operator and related inequalities
Acosta, Gabriel
2017-01-01
This Brief is mainly devoted to two classical and related results: the existence of a right inverse of the divergence operator and the so-called Korn Inequalities. It is well known that both results are fundamental tools in the analysis of some classic differential equations, particularly in those arising in fluid dynamics and elasticity. Several connections between these two topics and improved Poincaré inequalities are extensively treated. From simple key ideas the book is growing smoothly in complexity. Beginning with the study of these problems on star-shaped domains the arguments are extended first to John domains and then to Hölder α domains where the need of weighted spaces arises naturally. In this fashion, the authors succeed in presenting in an unified and concise way several classic and recent developments in the field. These features certainly makes this Brief useful for students, post-graduate students, and researchers as well.
American inequality and its consequences
Burtless, Gary; Jencks, Christopher
2003-01-01
Income inequality has risen sharply in the United States over the past generation, reaching levels not seen since before World War II. But while almost two-thirds of Americans agree with the statement that 'income differences in the United States are too large', policies aimed at reducing income differences command relatively little popular support. In most rich countries sizeable majorities 'agree strongly' that the government ought to guarantee each citizen a minimum standard of living. Onl...
Bell Inequalities for Complex Networks
2015-10-26
AFRL-AFOSR-VA-TR-2015-0355 YIP Bell Inequalities for Complex Networks Greg Ver Steeg UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES Final Report 10/26...Period: 1 August 2012 to 31 July 2015 Information Sciences Institute University of Southern California, 4676 Admiralty Way Marina del Rey, CA 90292...Machine Intelligence and Autonomy ” in 2014. Besides these Air Force affiliated interactions, I disseminated results of this effort in standard academic
Inequalities for the quantum privacy
Trindade, M. A. S.; Pinto, E.
2016-02-01
In this work, we investigate the asymptotic behavior related to the quantum privacy for multipartite systems. In this context, an inequality for quantum privacy was obtained by exploiting of quantum entropy properties. Subsequently, we derive a lower limit for the quantum privacy through the entanglement fidelity. In particular, we show that there is an interval where an increase in entanglement fidelity implies a decrease in quantum privacy.
Higher dimensional discrete Cheeger inequalities
Directory of Open Access Journals (Sweden)
Anna Gundert
2015-01-01
Full Text Available For graphs there exists a strong connection between spectral and combinatorial expansion properties. This is expressed, e.g., by the discrete Cheeger inequality, the lower bound of which states that $\\lambda(G \\leq h(G$, where $\\lambda(G$ is the second smallest eigenvalue of the Laplacian of a graph $G$ and $h(G$ is the Cheeger constant measuring the edge expansion of $G$. We are interested in generalizations of expansion properties to finite simplicial complexes of higher dimension (or uniform hypergraphs. Whereas higher dimensional Laplacians were introduced already in 1945 by Eckmann, the generalization of edge expansion to simplicial complexes is not straightforward. Recently, a topologically motivated notion analogous to edge expansion that is based on $\\mathbb{Z}_2$-cohomology was introduced by Gromov and independently by Linial, Meshulam and Wallach. It is known that for this generalization there is no direct higher dimensional analogue of the lower bound of the Cheeger inequality. A different, combinatorially motivated generalization of the Cheeger constant, denoted by $h(X$, was studied by Parzanchevski, Rosenthal and Tessler. They showed that indeed $\\lambda(X \\leq h(X$, where $\\lambda(X$ is the smallest non-trivial eigenvalue of the ($(k-1$-dimensional upper Laplacian, for the case of $k$-dimensional simplicial complexes $X$ with complete $(k-1$-skeleton. Whether this inequality also holds for $k$-dimensional complexes with non-com\\-plete$(k-1$-skeleton has been an open question.We give two proofs of the inequality for arbitrary complexes. The proofs differ strongly in the methods and structures employed,and each allows for a different kind of additional strengthening of the original result.
Social attitudes and regional inequalities
Directory of Open Access Journals (Sweden)
Vinko Muštra
2014-03-01
Full Text Available As the budgets of the European Union (EU become tighter, the questions about the effectiveness of EU’s expenditure, especially the most important parts such as Cohesion policy, are hotly debated. The aim of this paper is to examine whether the presence of social attitudes may influence the effectiveness of EU budget expenditure, measured by the level of regional inequalities. The analysis starts by focusing on individuals’ attitudes towards income from their own effort and income which is derived from other people’s effort, having in mind that individual actions depend on their attitudes. The next step establishes the link between the income from other people’s effort with the re-distributive dimension of the EU budget, considering that different attitudes among individuals in the EU could lead to significant differences in effectiveness of this redistributive policy among European regions and, consequently, diverse regional inequalities. Empirical research uses data for 27 EU countries observed over two waves of European Value Surveys: 1999-2000 (Wave 1 and 2008–2009 (Wave 2. The results indicate a significant role of social attitudes for regional inequalities, which raises the question of the appropriateness of simplification and uniform regional policy instruments in solving EU regional problems.
Climate policies under wealth inequality.
Vasconcelos, Vítor V; Santos, Francisco C; Pacheco, Jorge M; Levin, Simon A
2014-02-11
Taming the planet's climate requires cooperation. Previous failures to reach consensus in climate summits have been attributed, among other factors, to conflicting policies between rich and poor countries, which disagree on the implementation of mitigation measures. Here we implement wealth inequality in a threshold public goods dilemma of cooperation in which players also face the risk of potential future losses. We consider a population exhibiting an asymmetric distribution of rich and poor players that reflects the present-day status of nations and study the behavioral interplay between rich and poor in time, regarding their willingness to cooperate. Individuals are also allowed to exhibit a variable degree of homophily, which acts to limit those that constitute one's sphere of influence. Under the premises of our model, and in the absence of homophily, comparison between scenarios with wealth inequality and without wealth inequality shows that the former leads to more global cooperation than the latter. Furthermore, we find that the rich generally contribute more than the poor and will often compensate for the lower contribution of the latter. Contributions from the poor, which are crucial to overcome the climate change dilemma, are shown to be very sensitive to homophily, which, if prevalent, can lead to a collapse of their overall contribution. In such cases, however, we also find that obstinate cooperative behavior by a few poor may largely compensate for homophilic behavior.
Institute of Scientific and Technical Information of China (English)
Ping-bing Ming; Zhong-ci Shi
2003-01-01
This is the second part of the paper for the mathematical study of nonconformingInequalities are proved without assuming the quasi-uniformity of the mesh subdivision. Adiscrete trace inequality is also proved.
Inequalities relating to Lp-version of Petty's conjectured projection inequality
Institute of Scientific and Technical Information of China (English)
WANG Wei-dong; LENG Gang-song
2007-01-01
Petty's conjectured projection inequality is a famous open problem in the theory of convex bodies. In this paper, it is shown that an inequality relating to Lp-version of the Petty's conjectured projection inequality is developed by using the notions of the Lp-mixed volume and the Lp-dual mixed volume, the relation of the Lp-projection body and the geometric body Γ-pK, the Bourgain-Milman inequality and the Lp-BusemannPetty inequality. In addition, for each origin-symmetric convex body, by applying the Jensen inequality and the monotonicity of the geometric body Γ-pK, the reverses of Lp-version of the Petty's conjectured projection inequality and the Lp-Petty projection inequality are given, respectively.
Income inequality in the developing world.
Ravallion, Martin
2014-05-23
Should income inequality be of concern in developing countries? New data reveal less income inequality in the developing world than 30 years ago. However, this is due to falling inequality between countries. Average inequality within developing countries has been slowly rising, though staying fairly flat since 2000. As a rule, higher rates of growth in average incomes have not put upward pressure on inequality within countries. Growth has generally helped reduce the incidence of absolute poverty, but less so in more unequal countries. High inequality also threatens to stall future progress against poverty by attenuating growth prospects. Perceptions of rising absolute gaps in living standards between the rich and the poor in growing economies are also consistent with the evidence.
A Toy Penrose Inequality and its Proof
Bengtsson, Ingemar
2016-01-01
We formulate and prove a toy version of the Penrose inequality. The formulation mimics the original Penrose inequality in which the scenario is the following: A shell of null dust collapses in Minkowski space and a marginally trapped surface forms on it. Through a series of arguments relying on established assumptions, an inequality relating the area of this surface to the total energy of the shell is formulated. Then a further reformulation turns the inequality into a statement relating the area and the outer null expansion of a class of surfaces in Minkowski space itself. The inequality has been proven to hold true in many special cases, but there is no proof in general. In the toy version here presented, an analogous inequality in (2+1)-dimensional anti-de Sitter space turns out to hold true.
A toy Penrose inequality and its proof
Bengtsson, Ingemar; Jakobsson, Emma
2016-12-01
We formulate and prove a toy version of the Penrose inequality. The formulation mimics the original Penrose inequality in which the scenario is the following: a shell of null dust collapses in Minkowski space and a marginally trapped surface forms on it. Through a series of arguments relying on established assumptions, an inequality relating the area of this surface to the total energy of the shell is formulated. Then a further reformulation turns the inequality into a statement relating the area and the outer null expansion of a class of surfaces in Minkowski space itself. The inequality has been proven to hold true in many special cases, but there is no proof in general. In the toy version here presented, an analogous inequality in (2 + 1)-dimensional anti-de Sitter space turns out to hold true.
[Inequalities in health in Italy].
Caiazzo, Antonio; Cardano, Mario; Cois, Ester; Costa, Giuseppe; Marinacci, Chiara; Spadea, Teresa; Vannoni, Francesca; Venturini, Lorenzo
2004-01-01
Socioeconomic inequality and its impact on health is a growing concern in the European public health debate. In many countries, the issue is moving away from description towards the identification of the determinants of inequalities and the development of policies explicitly aimed at reducing inequalities in health. In Italy, ten years after the publication of the first report on inequalities in health, this topic is seldom present on the agenda of public policy makers. The purpose of this report is to update the Italian profile of social variation in health and health care in order to stimulate the debate on ways to tackle inequalities in health that are preventable. In the first section of this book, the threefold objective is to describe the principal mechanisms involved in the generation of social inequalities in health (Introduction); to report Italian data on the distribution and magnitude of this phenomenon in the last decade; and to evaluate policies and interventions in both the social (chapter 1.9, Section I) and the health sector (chapter 2.3, Section I), which are potentially useful to reduce health inequalities. It is intended for anyone who is in a position to contribute t o decision-making that will benefit the health of communities. For this reason, chapters are organized by specific determinants of inequalities on which interentions may have an impact. The methodological approach in the second section focuses on the best methods to monitor social inequalities including recommendations on social indicators, sources of information and study models, based on European guidelines revised for the Italian situation. According to data from national and local studies, mortality increases linearly with social disadvantage for a wide range of indicators at both the individual (education, social class, income, quality of housing) and the geographical level (deprivation indexes computed at different levels of aggregation). This positive correlation is evident
New generalization of H. Alzer's inequality
Directory of Open Access Journals (Sweden)
Zheng Liu
2003-09-01
Full Text Available A new generalization of H. Alzer's inequality is proved. This inequality generalizes both results in an article by N. Elezovic and J. Pecaric (J. Math. Anal. Appl. 223 (1998, 366--369 as well as an article by Feng Qi (J. Math. Anal. Appl. 240 (1999, 294--297. It is shown that this inequality is satisfied for a large class of increasing convex sequences.
CRISIS, AUSTERITY, AND COHESION: EUROPE'S STAGNATING INEQUALITY.
Dauderstädt, Michael; Keltek, Cem
2015-01-01
Europe's high inequality, systematically underestimated by the European Union, has been falling for many years thanks to catch-up growth in the poorer countries and despite often-increasing inequality within member states. Crisis and austerity have curbed this development, however. After inequality rose again during the Great Recession of 2009 and the subsequent brief recovery, things are now going sideways in the context of generally weak growth.
Social influences on inequity aversion in children.
Directory of Open Access Journals (Sweden)
Katherine McAuliffe
Full Text Available Adults and children are willing to sacrifice personal gain to avoid both disadvantageous and advantageous inequity. These two forms of inequity aversion follow different developmental trajectories, with disadvantageous inequity aversion emerging around 4 years and advantageous inequity aversion emerging around 8 years. Although inequity aversion is assumed to be specific to situations where resources are distributed among individuals, the role of social context has not been tested in children. Here, we investigated the influence of two aspects of social context on inequity aversion in 4- to 9-year-old children: (1 the role of the experimenter distributing rewards and (2 the presence of a peer with whom rewards could be shared. Experiment 1 showed that children rejected inequity at the same rate, regardless of whether the experimenter had control over reward allocations. This indicates that children's decisions are based upon reward allocations between themselves and a peer and are not attempts to elicit more favorable distributions from the experimenter. Experiment 2 compared rejections of unequal reward allocations in children interacting with or without a peer partner. When faced with a disadvantageous distribution, children frequently rejected a smaller reward when a larger reward was visible, even if no partner would obtain the larger reward. This suggests that nonsocial factors partly explain disadvantageous inequity rejections. However, rejections of disadvantageous distributions were higher when the larger amount would go to a peer, indicating that social context enhances disadvantageous inequity aversion. By contrast, children rejected advantageous distributions almost exclusively in the social context. Therefore, advantageous inequity aversion appears to be genuinely social, highlighting its potential relevance for the development of fairness concerns. By comparing social and nonsocial factors, this study provides a detailed picture of
Cointegration growth, poverty and inequality in Sudan
Mohamed Hassan, Hisham
2008-01-01
This analytical review explores the links between growth, poverty and inequality in Sudan for the period 1956-2003. This paper build upon different models to investigate empirically the relationship between economic growth - as measured by GDP per capita growth- and inequality as measured by Gini coefficient (the growth, inequality and poverty triangle hypotheses), using data from the national and international sources. The paper tries to answer the following questions: i) whether growth, ine...
Quantum Bell Inequalities from Macroscopic Locality
Yang, Tzyh Haur; Sheridan, Lana; Scarani, Valerio
2010-01-01
We propose a method to generate analytical quantum Bell inequalities based on the principle of Macroscopic Locality. By imposing locality over binary processings of virtual macroscopic intensities, we establish a correspondence between Bell inequalities and quantum Bell inequalities in bipartite scenarios with dichotomic observables. We discuss how to improve the latter approximation and how to extend our ideas to scenarios with more than two outcomes per setting.
Operator Inequalities of Ostrowski and Trapezoidal Type
Dragomir, Silvestru Sever
2012-01-01
Inequalities of Ostrowski and Trapezoidal Type for Functions of Selfadjoint Operators on Hilbert Spaces presents recent results concerning Ostrowski and Trapezoidal type inequalities for continuous functions of bounded Selfadjoint operators on complex Hilbert spaces. The first chapter recalls some fundamental facts concerning bounded Selfadjoint operators on complex Hilbert spaces. The generalized Schwarz's inequality for positive Selfadjoint operators as well as some results for the spectrum of this class of operators are presented. The author also introduces and explores the fundamental resu
Inequalities for electron-field correlation functions
Tyc, T
2000-01-01
I show that there exists a class of inequalities between correlation functions of different orders of a chaotic electron field. These inequalities lead to the antibunching effect and are a consequence of the fact that electrons are fermions -- indistinguishable particles with antisymmetric states. The derivation of the inequalities is based on the known form of the correlation functions for the chaotic state and on the properties of matrices and determinants.
Institute of Scientific and Technical Information of China (English)
PING Yun-Xia; LIU Lie; ZHANG Chao-Min; CHENG Ze
2011-01-01
Violations of Bell inequality, Cauchy-Schwarz inequality and entanglement in a two-mode three-level atomic system are investigated. It is shown that there are some states, which are entangled but do not violate Bell inequality in this system. Moreover, the relations of violations of Bell inequality, Cauchy-Schwarz inequality, and entanglement are discussed in detail.
Inequality Aversion and Reciprocity in Moonlighting Games
Directory of Open Access Journals (Sweden)
Dirk Engelmann
2010-10-01
Full Text Available We study behavior in a moonlighting game with unequal initial endowments. In this game, predictions for second-mover behavior based on inequality aversion are in contrast to reciprocity. We find that inequality aversion explains only few observations. The comparison to a treatment with equal endowments supports the conclusion that behavior is better captured by intuitive notions of reciprocity than by inequality aversion. Extending the model by allowing for alternative reference points promises better performance, but leads to other problems. We conclude that the fact that inequality aversion often works as a good short-hand for reciprocity is driven by biased design choices.
Unification of multi-qubit polygamy inequalities
Kim, Jeong San
2012-01-01
We establish a unified view of polygamy of multi-qubit entanglement. We first introduce a two-parameter generalization of entanglement of assistance namely unified entanglement of assistance for bipartite quantum states, and provide an analytic lowerbound in two-qubit systems. We show a broad class of polygamy inequalities of multi-qubit entanglement in terms of unified entanglement of assistance that encapsulates all known multi-qubit polygamy inequalities as special cases. We further show that this class of polygamy inequalities can be improved into tighter inequalities for three-qubit systems.
A concentration inequality for product spaces
Dodos, Pandelis; Kanellopoulos, Vassilis; Tyros, Konstantinos
2014-01-01
We prove a concentration inequality which asserts that, under some mild regularity conditions, every random variable defined on the product of sufficiently many probability spaces exhibits pseudorandom behavior.
Isoperimetric Inequalities and Magnetic Fields at CERN
McInnes, Brett
2016-01-01
We discuss the generalization of the classical isoperimetric inequality to asymptotically hyperbolic Riemannian manifolds. It has been discovered that the AdS/CFT correspondence in string theory requires that such an inequality hold in order to be internally consistent. In a particular application, to the systems formed in collisions of heavy ions in particle colliders, we show how to formulate this inequality in terms of measurable physical quantities, the magnetic field and the temperature. Experiments under way at CERN in Geneva can thus be said to be testing an isoperimetric inequality.
When does inequality freeze an economy?
Jerico, João Pedro; Landes, François P.; Marsili, Matteo; Pérez Castillo, Isaac; Volpati, Valerio
2016-07-01
Inequality and its consequences are the subject of intense recent debate. Using a simplified model of the economy, we address the relation between inequality and liquidity, the latter understood as the frequency of economic exchanges. Assuming a Pareto distribution of wealth for the agents, that is consistent with empirical findings, we find an inverse relation between wealth inequality and overall liquidity. We show that an increase in the inequality of wealth results in an even sharper concentration of the liquid financial resources. This leads to a congestion of the flow of goods and the arrest of the economy when the Pareto exponent reaches one.
Income inequality, poverty and crime across nations.
Pare, Paul-Philippe; Felson, Richard
2014-09-01
We examine the relationship between income inequality, poverty, and different types of crime. Our results are consistent with recent research in showing that inequality is unrelated to homicide rates when poverty is controlled. In our multi-level analyses of the International Crime Victimization Survey we find that inequality is unrelated to assault, robbery, burglary, and theft when poverty is controlled. We argue that there are also theoretical reasons to doubt that the level of income inequality of a country affects the likelihood of criminal behaviour.
Income and health inequality across Canadian provinces.
Safaei, Jalil
2007-09-01
This paper uses the aggregate data from the Public Use Microdata Files (PUMF) of Canadian National Population Health Survey to estimate income related health inequalities across the ten Canadian provinces. The unique features of the PUMF allow for a meaningful cross-provincial comparison of health indices and their measured inequalities. It concludes that health inequalities favouring the higher income people do exist in all provinces when health status is either self assessed or measured by the health utility index. Moreover, it finds considerable variations in measured health inequalities across the provinces with consistent rankings for certain provinces.
SOCIOECONOMIC DEVELOPMENT INEQUALITIES AMONG ...
African Journals Online (AJOL)
Osondu
Ethiopian Journal of Environmental Studies and Management Vol. 6 No.3 2013. Department .... distance to the nearest highway, car ownership, population .... Umoren, V.E. (2008). Impact of Road. Transport on Socio-Economic Development in.
Changes in Attitude towards Gender Inequality in the
National Research Council Canada - National Science Library
Vakil Ahmadi
2013-01-01
Introduction Gender inequality stems from social factors in each society. In theories of gender inequality, it has been assumed that family role in reproduction of gender inequality is of crucial importance...
Inequality, deprivation and alcohol use.
Marmot, M
1997-03-01
There are major social inequalities in health within societies. Alcohol and tobacco are major preventable causes of ill health. Using data from the United Kingdom, this paper examines the social distribution of tobacco and alcohol consumption; the role that tobacco and alcohol may play in mediating or modifying social inequalities in health; and the implications of social distribution for policies to reduce harm associated with consumption of alcohol and tobacco. In the United Kingdom, as in many other countries, there is clear inverse association between socio-economic position and consumption of cigarettes. Over the past three decades, the decline in smoking has been more rapid in men and women in higher socio-economic groups. United Kingdom suggest that among employed men and women, the prevalence of non-drinking shows an inverse association with occupational status; heavy drinking differs little; and moderate drinking is more common among those of higher socio-economic status. Smoking accounts for perhaps 25% of the social class difference in coronary heart disease (CHD) mortality, more for lung cancer, less for some other diseases. healthier patterns of drinking may contribute to the lower CHD rates of higher social classes. Although other factors are clearly important in generating social inequalities, it is important to take the social distribution of alcohol and tobacco into account when formulating policy. For cigarette consumption, there is evidence that in lower socio-economic groups demand is more sensitive to price; higher socio-economic groups are more responsive to health education. There has been less research of this nature for alcohol. Available analyses suggest that price responsiveness of heavy drinking may be greatest in young men and in those with lower incomes. A pricing strategy has important equity implications.
Entropy power inequalities for qudits
Audenaert, Koenraad; Datta, Nilanjana; Ozols, Maris
2016-05-01
Shannon's entropy power inequality (EPI) can be viewed as a statement of concavity of an entropic function of a continuous random variable under a scaled addition rule: f ( √{ a } X + √{ 1 - a } Y ) ≥ a f ( X ) + ( 1 - a ) f ( Y ) ∀ a ∈ [ 0 , 1 ] . Here, X and Y are continuous random variables and the function f is either the differential entropy or the entropy power. König and Smith [IEEE Trans. Inf. Theory 60(3), 1536-1548 (2014)] and De Palma, Mari, and Giovannetti [Nat. Photonics 8(12), 958-964 (2014)] obtained quantum analogues of these inequalities for continuous-variable quantum systems, where X and Y are replaced by bosonic fields and the addition rule is the action of a beam splitter with transmissivity a on those fields. In this paper, we similarly establish a class of EPI analogues for d-level quantum systems (i.e., qudits). The underlying addition rule for which these inequalities hold is given by a quantum channel that depends on the parameter a ∈ [0, 1] and acts like a finite-dimensional analogue of a beam splitter with transmissivity a, converting a two-qudit product state into a single qudit state. We refer to this channel as a partial swap channel because of the particular way its output interpolates between the states of the two qudits in the input as a is changed from zero to one. We obtain analogues of Shannon's EPI, not only for the von Neumann entropy and the entropy power for the output of such channels, but also for a much larger class of functions. This class includes the Rényi entropies and the subentropy. We also prove a qudit analogue of the entropy photon number inequality (EPnI). Finally, for the subclass of partial swap channels for which one of the qudit states in the input is fixed, our EPIs and EPnI yield lower bounds on the minimum output entropy and upper bounds on the Holevo capacity.
Addressing inequities in healthy eating.
Friel, Sharon; Hattersley, Libby; Ford, Laura; O'Rourke, Kerryn
2015-09-01
What, when, where and how much people eat is influenced by a complex mix of factors at societal, community and individual levels. These influences operate both directly through the food system and indirectly through political, economic, social and cultural pathways that cause social stratification and influence the quality of conditions in which people live their lives. These factors are the social determinants of inequities in healthy eating. This paper provides an overview of the current evidence base for addressing these determinants and for the promotion of equity in healthy eating.
Against inequality Contra la desigualdad
Directory of Open Access Journals (Sweden)
Dugger William
1998-12-01
Full Text Available William Dugger questions the conventional idea that inequality is necessary for economic development through a historical and institutional examination of five of the major systems of inequality currently existing: racism, sexism, classism, jingoism, and antisemitismo It puts forward various reasons to justify that redistribution is not the solution; that inequality is pathological, cumula tive, and social; that it rests on myth and that current economic doctrine is a mythological
system which preserves the status quo and confuses the current economy of collective greed and en based on the power of the large corporations- with an economy of individual initiative, efficiency, and competitive markets. And it shows that laissez faire is impractical because the State always ect:s, even when it follows non-interventionist economic policies. Against the oversimplification of those who defend the dichotomy 'State or market', it opposes the old institutionalist conjunction 'State and market'. As for inequality, it summarizes as follows the central question of our age: "how much inequali ty will the State create and allow in order to preserve the structure of the market system?"William Dugger cuestiona la idea convencional de que la desigualdad es necesaria para el desarrollo económico, mediante el examen histórico e institucional de cinco de los principales sistemas de desigualdad existentes en la actualidad: el racismo, el sexismo, el clasismo, el chovinismo y el antisemitismo. Expone diversas razones para justificar que la redistribución no es la solución, que la desigualdad es patológica, acumulativa y social; que se apoya en el mito y que la actual doctrina económica es un sistema mitológico quq preserva el status quo y confunde la actual economía de codicia y envidias colectivas -basada en el poder de las grandes corporaciones- con una economía de iniciativa individual, eficiente y mercados competitivos. Y muestra que el laissez faire
Maximal inequalities for bessel processes
Directory of Open Access Journals (Sweden)
Graversen SE
1998-01-01
Full Text Available It is proved that the uniform law of large numbers (over a random parameter set for the -dimensional ( Bessel process started at 0 is valid: for all stopping times for . The rate obtained (on the right-hand side is shown to be the best possible. The following inequality is gained as a consequence: for all stopping times for , where the constant satisfies as . This answers a question raised in [4]. The method of proof relies upon representing the Bessel process as a time changed geometric Brownian motion. The main emphasis of the paper is on the method of proof and on the simplicity of solution.
Kong, Kyoung Ae; Khang, Young-Ho; Cho, Hong-Jun; Jang, Sung-Mi; Jung-Choi, Kyunghee
2017-04-20
The aim of this study was to examine the pattern of social inequality in self-rated health among the employed using the Wright's social class location indicator, and to assess the roles of material, behavioral, psychosocial, and workplace environmental factors as mediating factors in explaining the social class inequality in self-rated health in South Korea. This study used data from the 4th Korea National Health and Nutrition Examination Survey from 2007 to 2009. Study subjects included the employed population of 4392 men and 3309 women aged 19-64 years. Subjects were classified into twelve social class positions based on the Wright's social class map. The health outcome was self-rated health. Material, psychosocial, behavioral, and workplace environmental factors were considered as potential mediators in explaining social class health inequality. We calculated prevalence ratios of poor self-rated health according to social class, adjusted for age and mediating factors using Poisson regression models. Nonskilled workers and petty bourgeoisie reported worse self-rated health than other social classes among men. The age-adjusted prevalence of petty bourgeoisie and nonskilled workers were about four-fold greater than that of managers. Expert supervisors in the contradictory class location had a greater prevalence of poor self-rated health than experts in men. In women, the prevalence of poor self-rated health was greater in most social classes than their male counterparts, while the differences among social classes within women were not statistically significant. Workplace environmental factors explained the social class inequality by from 24 to 31% in nonskilled and skilled workers and nonskilled supervisors, respectively, and material factors showed an explanatory ability of about 8% for both nonskilled workers and petty bourgeoisie in men. We showed the inequality in self-rated health according to the Wright's social class in an industrialized Asian country
Hispanic Population Growth and Rural Income Inequality
Parrado, Emilio A.; Kandel, William A.
2010-01-01
We analyze the relationship between Hispanic population growth and changes in U.S. rural income inequality from 1990 through 2000. Applying comparative approaches used for urban areas we disentangle Hispanic population growth's contribution to inequality by comparing and statistically modeling changes in the family income Gini coefficient across…
Income inequality and happiness in 119 nations
M.C. Berg (Maarten); R. Veenhoven (Ruut)
2010-01-01
textabstractINCOME INEQUALITY AND HAPPINESS IN 119 NATIONS All modern nations reduce income differences to some extent, and as a result there is an ongoing discussion about what degree of income inequality is acceptable. In this discussion libertarians oppose egalitarians and a principled consensus
Jensen's Inequality for Backward Stochastic Differential Equations
Institute of Scientific and Technical Information of China (English)
Long JIANG
2006-01-01
Under the Lipschitz assumption and square integrable assumption on g, the author proves that Jensen's inequality holds for backward stochastic differential equations ith generator g if and only ifg is independent of y, g(t, 0) ≡ 0 and g is super homogeneous with respect to z. This result generalizes the known results on Jensen's inequality for gexpectation in [4, 7-9].
Earnings Inequality in Germany and Its Implications
Institute of Scientific and Technical Information of China (English)
GIACOMO; CORNEO
2015-01-01
The current paper discusses the evolution of earnings inequality in Germany with an eye to its potential lessons for China. Inequality is assessed from two different perspectives: the distribution of annual earnings, and the distribution of lifetime earnings. This paper proposes to implement closer monitoring of lifetime earnings and take a proactive stance in the formation of the wage-bargaining regime.
Socioeconomic inequality in malnutrition in developing countries
E. Van de Poel (Ellen); A.R. Hosseinpoor (Ahmad); N. Speybroeck (Niko); T.G.M. van Ourti (Tom); J. Vega (Jeanette)
2008-01-01
textabstractObjective: The objectives of this study were to report on socioeconomic inequality in childhood malnutrition in the developing world, to provide evidence for an association between socioeconomic inequality and the average level of malnutrition, and to draw attention to different patterns
Confronting Gender Inequality in a Business School
Reilly, Amanda; Jones, Deborah; Rey Vasquez, Carla; Krisjanous, Jayne
2016-01-01
This study, set in a New Zealand Business School, takes an integrative view of the university as an "inequality regime" Acker, J. (2006b). Inequality regimes: Gender, class and race in organizations. "Gender and Society," 20(4), 441-464 including all types of women staff: academic women in permanent positions, academics on…
Remarks on a Sobolev-Hardy inequality
Secchi, S.; Smets, D.; Willem, M
2002-01-01
We compute the optimal constant for a generalized Hardy-Sobolev inequality, and using the product of two symmetrizations we present an elementary proof of the symmetries of some optimal functions. This inequality was motivated by a nonlinear elliptic equation arising in astrophysics.
Transportation inequalities: From Poisson to Gibbs measures
Ma, Yutao; Wang, Xinyu; Wu, Liming; 10.3150/00-BEJ268
2011-01-01
We establish an optimal transportation inequality for the Poisson measure on the configuration space. Furthermore, under the Dobrushin uniqueness condition, we obtain a sharp transportation inequality for the Gibbs measure on $\\mathbb{N}^{\\Lambda}$ or the continuum Gibbs measure on the configuration space.
Labor Market Inequalities in FYR Macedonia
World Bank
2015-01-01
The study includes an analysis of inequality patterns in terms of labor force participation as well as a review of policy responses, and areas for possible further policy action. In particular, the report looks at the two main dimensions of inequality that characterize Macedonia’s labor market: gender and ethnicity. Almost half the female working age population is inactive, whereas male in...
Educational Inequality in English Primary Education
Richards, Colin
2008-01-01
This paper summarises some English research findings related to educational inequality, particularly in inner urban schools. It documents how differences related to relative poverty are reflected in patterns of educational attainment as revealed by national tests results. It considers and evaluates how the issue of educational inequality in…
Wealth inequality and the accumulation of debt
Maestri, V.; Bogliacino, F.; Salverda, W.; Salverda, W.; Nolan, B.; Chechhi, D.; Marx, I.; McKnight, A.; Tóth, I.G.; van de Werfhorst, H.
2014-01-01
The chapter scrutinises wealth inequality, its measurement, trends, drivers, and relationship with income, using GINI contributions and new analysis of data and literature. The chapter finds increasing wealth inequality and polarization, although levels and trends vary widely. The comparability of w
The Intergenerational Inequality of Health in China
DEFF Research Database (Denmark)
Eriksson, Tor; Pan, Jay; Qin, Xuezheng
, supporting the “nature-nurture interaction” hypothesis. The Blinder-Oaxaca decomposition further indicates that 15% to 27% of the rural-urban inequality of child health is attributable to the endowed inequality from their parents’ health. An important policy implication of our study is that the increasing...
Demography, Growth, and Global Income Inequality
Rougoor, Ward; Van Marrewijk, Charles
2015-01-01
Global income inequality has been declining for several decades. We argue that global income inequality will reach its lowest level around 2027 and then will rise again. This development is the result of both economic and demographic forces. By combining economic projections with demographic develop
Lanzani-Stein inequalities in Heisenberg groups
Directory of Open Access Journals (Sweden)
Annalisa Baldi
2013-12-01
Full Text Available Lanzani & Stein consider a class of div-curl inequalities in de Rham's complex. In this note we examine the natural counterpart of that kind of inequalities for dierential forms in Heisenberg groups H1 and H2.
Strong convergence results for hemivariational inequalities
Institute of Scientific and Technical Information of China (English)
LIU Zhenhai; ZOU Jiezhong
2006-01-01
The purpose of this paper is to study a regularization method of solutions of ill-posed problems involving hemivariational inequalities in Banach spaces. Under the assumption that the hemivariational inequality is solvable, a strongly convergent approximation procedure is designed by means of the so-called Browder-Tikhonov regularization method. Our results generalize and extend the previously known theorems.
ON JENSEN'S INEQUALITY FOR g-EXPECTATION
Institute of Scientific and Technical Information of China (English)
JIANG LONG; CHEN ZENGJING
2004-01-01
Briand et al. gave a counterexample showing that given g, Jensen's inequality for g-expectation usually does not hold in general This paper proves that Jensen's inequality for g-expectation holds in general if and only if the generator g (t, z) is super-homogeneous in z. In particular, g is not necessarily convex in z.
Some Nonlinear Integral Inequalities on Time Scales
Directory of Open Access Journals (Sweden)
Li Wei Nian
2007-01-01
Full Text Available The purpose of this paper is to investigate some nonlinear integral inequalities on time scales. Our results unify and extend some continuous inequalities and their corresponding discrete analogues. The theoretical results are illustrated by a simple example at the end of this paper.
Students' Understandings and Misconceptions of Algebraic Inequalities
Rowntree, Rebecca V.
2009-01-01
The National Council of Teachers of Mathematics [NCTM] requires students in grades nine through 12 to be able to explain inequalities using mathematical relational symbols and be able to understand the meaning of inequalities and their solutions (NCTM, 2000). Studies have shown that not only middle and high school students have difficulties with…
Grothendieck Inequalities, Nonlocal Games and Optimization
Briët, J.
2011-01-01
Motivated by applications in quantum information theory and optimization we introduce new variants of a celebrated inequality known as Grothendieck's Inequality. In quantum information theory we apply these mathematical tools to study of one of the most surprising and counter-intuitive predictions o
Corruption, trust and inequality in modern society
Directory of Open Access Journals (Sweden)
Ya. A. Ardelyanova
2014-01-01
Full Text Available The article considers the relationship between the level of corruption and inequality in modern society. Taking into account the existing theoretical approaches to having a direct or inverse relationship between corruption and inequality this relationship is complemented by addressing the issue of trust.
Inequality, legitimacy and the political system
Andersen, R.; Burgoon, B.; van de Werfhorst, H.; Salverda, W.; Nolan, B.; Checchi, D.; Marx, I.; McKnight, A.; Tóth, I.G.; van de Werfhorst, H.
2014-01-01
This chapter studies the complex relationship between income inequality and the legitimacy of politics. By focusing on outcomes concerning national and supranational politics, the chapter argues that political correlates to inequality may not only widen cleavages in political interest, attitudes to
Oracle Inequalities for High Dimensional Vector Autoregressions
DEFF Research Database (Denmark)
Callot, Laurent; Kock, Anders Bredahl
This paper establishes non-asymptotic oracle inequalities for the prediction error and estimation accuracy of the LASSO in stationary vector autoregressive models. These inequalities are used to establish consistency of the LASSO even when the number of parameters is of a much larger order...
Regional Educational Inequality and Political Instability.
Monchar, Philip Harris
1981-01-01
From a study of 46 nations over the period 1957 to 1973, it is argued that regional educational inequality indicates the presence of other regional social, political, and economic inequalities, and it is all of these factors together that generate feelings of relative deprivation and the pursuant political instability. (Author/SJL)
Health inequalities and the welfare state
Directory of Open Access Journals (Sweden)
Else-Karin Grøholt
2009-10-01
Full Text Available This issue of the Norwegian Journal of Epidemiology is based on the research conference Health Inequalities and the Welfare State at the Soria Moria Conference Center in Oslo, Norway, October 10-11 2006. The main purpose of the conference was to support, stimulate, disseminate and contribute to research in Norway on social inequalities in health. Nine papers are included in this issue, in addition to this introduction. One paper is based on one of the keynote lectures, while the other eight papers demonstrate some of the themes and approaches in current Norwegian research on socioeconomic health inequalities. Most of the articles have been authored by researchers who are working on a doctoral thesis or have recently attained their doctoral degree. The papers cluster into four groups. One cluster has a common denominator in intervention and policies to reduce health inequalities. A second focuses on marginalised groups, whereas a third cluster draws attention to the possible impact of the social context on individual health. The last paper addresses health inequalities among adolescents. The main focus of the Soria Moria conference was how and why social health inequalities continue to exist in the Norwegian society with a long tradition of a social democratic welfare model. We are pleased to note that health inequalities are becoming a prioritised health policy issue in Norway, and hope this issue of the Norwegian Journal of Epidemiology will contribute to a sharper focus on monitoring of, research on, and interventions to reduce social inequalities in health.
Health inequalities and the welfare state
Directory of Open Access Journals (Sweden)
Else-Karin Grøholt
2007-01-01
Full Text Available This issue of the Norwegian Journal of Epidemiology is based on the research conference Health Inequalities and the Welfare State at the Soria Moria Conference Center in Oslo, Norway, October 10-11 2006. The main purpose of the conference was to support, stimulate, disseminate and contribute to research in Norway on social inequalities in health. Nine papers are included in this issue, in addition to this introduction. One paper is based on one of the keynote lectures, while the other eight papers demonstrate some of the themes and approaches in current Norwegian research on socioeconomic health inequalities. Most of the articles have been authored by researchers who are working on a doctoral thesis or have recently attained their doctoral degree. The papers cluster into four groups. One cluster has a common denominator in intervention and policies to reduce health inequalities. A second focuses on marginalised groups, whereas a third cluster draws attention to the possible impact of the social context on individual health. The last paper addresses health inequalities among adolescents. The main focus of the Soria Moria conference was how and why social health inequalities continue to exist in the Norwegian society with a long tradition of a social democratic welfare model. We are pleased to note that health inequalities are becoming a prioritised health policy issue in Norway, and hope this issue of the Norwegian Journal of Epidemiology will contribute to a sharper focus on monitoring of, research on, and interventions to reduce social inequalities in health.
Area-charge inequality for black holes
Dain, Sergio; Reiris, Martín
2011-01-01
The inequality between area and charge $A\\geq 4\\pi Q^2$ for dynamical black holes is proved. No symmetry assumption is made and charged matter fields are included. Extensions of this inequality are also proved for regions in the spacetime which are not necessarily black hole boundaries.
Generalized geometrically convex functions and inequalities.
Noor, Muhammad Aslam; Noor, Khalida Inayat; Safdar, Farhat
2017-01-01
In this paper, we introduce and study a new class of generalized functions, called generalized geometrically convex functions. We establish several basic inequalities related to generalized geometrically convex functions. We also derive several new inequalities of the Hermite-Hadamard type for generalized geometrically convex functions. Several special cases are discussed, which can be deduced from our main results.
Inequality and growth : The neglected time dimension
Halter, D.; Oechslin, M.C.; Zweimüller, J.
2014-01-01
Inequality affects economic performance through many mechanisms, both beneficial and harmful. Moreover, some of these mechanisms tend to set in fast while others are rather slow. The present paper (i) introduces a simple theoretical model to study how changes in inequality affect economic growth ove
A Review of Factors Influencing Health Inequalities
Directory of Open Access Journals (Sweden)
Hassan Almaspoor Khanghah
2016-01-01
Full Text Available Background and Objectives : Inequity in health is a universal term which is used for showing current differences, variations and inequalities of people in accessing to health services. The current study aimed to assess the factors influencing health inequalities to present the results to the researchers and health care professionals. Material and Methods : In this review, several databases including PubMed, Proquest, Scopus, Google Scholar search engine, SID and IranDoc were searched within 2000-2014 period. We found 746 articles and refined them step by step according to the aim of the study by reviewing the titles, abstracts and full texts. Finally, 16 articles were selected for further study Results: In the present study, identified determinants in health inequalities were as follows: 1- Economic and income factors 2- Political factors, social and public policy 3- Cultural and social values 4- social and demographic factors 5- Behavioral, psychological and biological factors. Although, other factors like governmental, international, social cohesion, incidents and even the health system itself were involved in health inequalities, but the listed determinants were among the most important determinants in health inequalities in the conducted studies. Conclusion : Given the importance of people's health and inequalities in health, the approach should focus on reducing the inequalities in all policies and development programs and the role of these factors should be taken into consideration by managers and policy-makers
Concentration inequalities for random fields via coupling
Chazottes, J. R.; Collet, P.; Kuelske, C.; Redig, F.
We present a new and simple approach to concentration inequalities in the context of dependent random processes and random fields. Our method is based on coupling and does not use information inequalities. In case one has a uniform control on the coupling, one obtains exponential concentration
Health Inequities: Evaluation of Two Paradigms
Ashcroft, Rachelle
2010-01-01
Social work practice in health is shaped by underlying paradigms. To effectively target health inequities, practitioners need to consider appropriate paradigms. In this exploration of how six health paradigms shape theory and practice, the two health paradigms that most attended to health inequalities are social determinants of health and…
Bayesian evaluation of inequality constrained hypotheses
Gu, X.; Mulder, J.; Deković, M.; Hoijtink, H.
2014-01-01
Bayesian evaluation of inequality constrained hypotheses enables researchers to investigate their expectations with respect to the structure among model parameters. This article proposes an approximate Bayes procedure that can be used for the selection of the best of a set of inequality constrained
Inequality in Latin America : Breaking with History?
de Ferranti, David; Guillermo E. Perry; Ferreira, Francisco H. G.; Walton, Michael
2004-01-01
With the exception of Sub-Saharan Africa, Latin America and the Caribbean has been one of the regions of the world with the greatest inequality. This report explores why the region suffers from such persistent inequality, identifies how it hampers development, and suggests ways to achieve greater equity in the distribution of wealth, incomes and opportunities. The study draws on data from ...
A model with cosmological Bell inequalities
Maldacena, Juan
2015-01-01
We discuss the possibility of devising cosmological observables which violate Bell's inequalities. Such observables could be used to argue that cosmic scale features were produced by quantum mechanical effects in the very early universe. As a proof of principle, we propose a somewhat elaborate inflationary model where a Bell inequality violating observable can be constructed.
Bell inequalities with continuous angular variables
Borges, Carolina V S; Keller, Arne
2011-01-01
We consider bipartite quantum systems characterized by a continuous angular variable \\theta \\in [-\\pi, \\pi[, representing, for instance, the position of a particle on a circle. We show how to reveal non-locality on this type of system using inequalities similar to CHSH ones, originally derived for bipartite spin 1/2 like systems. Such inequalities involve correlated measurement of continuous angular functions and are equivalent to the continuous superposition of CHSH inequalities acting on bidimensional subspaces of the infinite dimensional Hilbert space. As an example, we discuss in detail one application of our results, and we derive inequalities based on orientation correlation measurements. The introduced Bell-type inequalities open the perspective of new and simpler experiments to test non locality on a variety of quantum systems described by continuous variables.
Income inequality: Implications and relevant economic policies
Directory of Open Access Journals (Sweden)
Arestis Philip
2016-01-01
Full Text Available The aim of this contribution is to discuss closely the implications of income inequality and the economic policies to tackle it, especially so in view of inequality being one of the main causes of the 2007/2008 international financial crisis and the “great recession” that subsequently emerged. Wealth inequality is also important in this respect, but the focus is on income inequality. Ever since the financial crisis and the subsequent “great recession”, inequality of income, and wealth, has increased and the demand for economic policy initiatives to produce a more equal distribution of income and wealth has become more urgent. Such reduction would help to increase the level of economic activity as has been demonstrated again more recently. A number of economic policy initiatives for this purpose will be the focus of this contribution.
Characterizations of Lojasiewicz inequalities and applications
Bolte, Jerome; Ley, Olivier; Mazet, Laurent
2008-01-01
The classical Lojasiewicz inequality and its extensions for partial differential equation problems (Simon) and to o-minimal structures (Kurdyka) have a considerable impact on the analysis of gradient-like methods and related problems: minimization methods, complexity theory, asymptotic analysis of dissipative partial differential equations, tame geometry. This paper provides alternative characterizations of this type of inequalities for nonsmooth lower semicontinuous functions defined on a metric or a real Hilbert space. In a metric context, we show that a generalized form of the Lojasiewicz inequality (hereby called the Kurdyka-Lojasiewicz inequality) relates to metric regularity and to the Lipschitz continuity of the sublevel mapping, yielding applications to discrete methods (strong convergence of the proximal algorithm). In a Hilbert setting we further establish that asymptotic properties of the semiflow generated by $-\\partial f$ are strongly linked to this inequality. This is done by introducing the not...
Exploring Educational Inequalities in Romania
Directory of Open Access Journals (Sweden)
Ana-Maria ZAMFIR
2016-06-01
Full Text Available In the recent period, social inequalities have become a research topic of great interest for many scientists in the world. The participation of individuals to education is an important determinant for their access to subsequent opportunities, especially labor market opportunities. Moreover, an important number of studies show that education is one of the most influential factors that explain the amount of resources available to individuals in all their life cycles. In this context, reducing school dropout and increasing the share of individuals graduating from higher education represent national objectives for Romania. This article aims to analyze factors that explain differences in participation to education. A special attention will be given to urban-rural gaps in educational attainment. While taking into account main theoretical developments in the field of educational inequalities, empirical data are analyzed in order to provide a clearer picture on the factors that influence the access of individuals to higher education in Romania. Results are useful for policy makers and managers in the education field for better designing policies and study programs that are inclusive and provide better life chances to all individuals.
Algorithms in Solving Polynomial Inequalities
Directory of Open Access Journals (Sweden)
Christopher M. Cordero
2015-11-01
Full Text Available A new method to solve the solution set of polynomial inequalities was conducted. When −1 −2 >0 ℎ 1,2∈ ℝ 10 if n is even. Then, the solution set is ∈ ℝ ∈ −∞,1 ∪ ,+∞ ∪ ,+1 : }. Thus, when −1−2…−≥0, the solution is ∈ ℝ ∈−∞, 1∪ ,+∞∪, +1: }. If is odd, then the solution set is ∈ ℝ ∈ ,+∞ ∪ ,+1 : }. Thus, when −1 −2…−≥0, the solution set is ∈ ℝ ∈ ,+∞∪, +1: }. Let −1−2…−<0 if n is even. Then, the solution set is ∈ ℝ ∈ ,+1 ∶ }. Thus, when −1 −2…−≤0, then the solution set is ∈ ℝ ∈, +1: }. If is an odd, then the solution set is ∈ ℝ ∈ −∞,1 ∪ ,+1 : }. Thus, when −1 −2 … − ≤0, the solution set is ∈ ℝ ∈ −∞,1 ∪ ,+1 : }. This research provides a novel method in solving the solution set of polynomial inequalities, in addition to other existing methods.
Wealth inequality: The physics basis
Bejan, A.; Errera, M. R.
2017-03-01
"Inequality" is a common observation about us, as members of society. In this article, we unify physics with economics by showing that the distribution of wealth is related proportionally to the movement of all the streams of a live society. The hierarchical distribution of wealth on the earth happens naturally. Hierarchy is unavoidable, with staying power, and difficult to efface. We illustrate this with two architectures, river basins and the movement of freight. The physical flow architecture that emerges is hierarchical on the surface of the earth and in everything that flows inside the live human bodies, the movement of humans and their belongings, and the engines that drive the movement. The nonuniform distribution of wealth becomes more accentuated as the economy becomes more developed, i.e., as its flow architecture becomes more complex for the purpose of covering smaller and smaller interstices of the overall (fixed) territory. It takes a relatively modest complexity for the nonuniformity in the distribution of wealth to be evident. This theory also predicts the Lorenz-type distribution of income inequality, which was adopted empirically for a century.
a struggle to overcome inequality
Directory of Open Access Journals (Sweden)
Sergio Bolaños Cuellar
2006-01-01
Full Text Available This paper attempts to show that the intellectual construct womens language is entirely justified on a political, ideological, and economic basis that stresses the fact that women have historically been victims of overt (and covert discrimination and exploitation in our society. Linguistically speaking, however, a womens language seems not to exist in traditional strict terms, but rather as a rhetorical term used in the form of a synecdoche. Despite their incompleteness, two attempts of characterizing truly women languages, Nu Shu and Láadan, are discussed, underlining and recognizing their legitimate symbolic value as equalizing manoeuvres. Women have resorted to more subtle linguistic means to emerge as visible agents in our society. Linguistic resources go from a passive acceptance of the traditional all-inclusive generic masculine forms, through the equalizing use of both masculine and feminine markers, to the most progressive, liberal and controversial strategies of using feminizing forms, i.e. all-inclusive generic feminine forms. Womens struggle to overcome inequity and inequality is a legitimate endeavour which is leaving visible linguistic traces in our languages. Women are changing languages around the world.
Inequalities in diet and nutrition.
Tiffin, Richard; Salois, Matthew
2012-02-01
The inequality of nutrition and obesity re-focuses concern on who in society is consuming the worst diet. Identification of individuals with the worst of dietary habits permits for targeting interventions to assuage obesity among the population segment where it is most prevalent. We argue that the use of fiscal interventions does not appropriately take into account the economic, social and health circumstances of the intended beneficiaries of the policy. This paper reviews the influence of socio-demographic factors on nutrition and health status and considers the impacts of nutrition policy across the population drawing on methodologies from both public health and welfare economics. The effects of a fat tax on diet are found to be small and while other studies show that fat taxes saves lives, we show that average levels of disease risk do not change much: those consuming particularly bad diets continue to do so. Our results also suggest that the regressivity of the policy increases as the tax becomes focused on products with high saturated fat contents. A fiscally neutral policy that combines the fat tax with a subsidy on fruit and vegetables is actually more regressive because consumption of these foods tends to be concentrated in socially undeserving households. We argue that when inequality is of concern, population-based measures must reflect this and approaches that target vulnerable populations which have a shared propensity to adopt unhealthy behaviours are appropriate.
van Ansem, Wilke J C; van Lenthe, Frank J; Schrijvers, Carola T M; Rodenburg, Gerda; van de Mheen, Dike
2014-08-14
In the present study, we examined the association between maternal education and unhealthy eating behaviour (the consumption of snack and sugar-sweetened beverages (SSB)) and explored environmental factors that might mediate this association in 11-year-old children. These environmental factors include home availability of snacks and SSB, parental rules about snack and SSB consumption, parental intake of snacks and SSB, peer sensitivity and children's snack-purchasing behaviour. Data were obtained from the fourth wave of the INPACT (IVO Nutrition and Physical Activity Child cohorT) study (2011), in which 1318 parent-child dyads completed a questionnaire. Data were analysed using multivariate regression models. Children of mothers with an intermediate educational level were found to consume more snacks than those of mothers with a high educational level (B= 1·22, P= 0·02). This association was not mediated by environmental factors. Children of mothers with a low educational level were found to consume more SSB than those of mothers with a high educational level (B= 0·63, Pchildren's SSB consumption was found to be mediated by parental intake of snacks and SSB and home availability of SSB. The home environment seems to be a promising setting for interventions on reducing socio-economic inequalities in children's SSB consumption.
Social inequality in chronic disease outcomes.
Nordahl, Helene
2014-11-01
methodology, the additive hazards models, in which the potential role of behavioural risk factors can be regarded not only as mediation but also as interaction with the effect of socioeconomic position on chronic disease outcomes. The results support that two central mechanisms, differential exposure and differential vulnerability to behavioural risk factors, particularly smoking; have contributed substantially to the social inequality in chronic disease outcomes in Denmark. These mechanism are not mutually exclusive and should be regarded simultaneously. However, the findings could be non-causal associations due to, for instance, psychosocial or environmental factors. Nevertheless, research on social inequality in chronic disease outcomes should regard not only that the smoking prevalence is higher in lower socioeconomic groups (differential exposure), but also that health consequences of being a smoker seem to be worse in these subgroups (differential vulnerability).
Alves Filho, Pedro; Santos, Ricardo Ventura; Vettore, Mario Vianna
2013-09-01
This ecological study investigated the association between social and environmental inequities and dental caries among indigenous people in Brazil. Dental caries data were gathered from articles identified from electronic databases for the period between 2000 and 2007. Independent variables were obtained from the census of Health Information System for Sanitation Indigenous Populations. Multiple linear regression analysis was conducted to test the association between social and environmental characteristics and dental caries (DMFT index) according to the age group. Results were analyzed for 48 indigenous peoples from 19 selected studies. The occurrence of dental caries in particular age groups was inversely associated with the location of villages outside the Amazon region (12, 15 - 19, and 20 - 34 years), availability of electricity (15 - 19 and 20 - 34 years) and proportion of households covered with straw/thatch (20 - 34 years). The presence of schools was statistically associated with higher DMFT averages (15 - 19 and 20 - 34 years). It can be concluded that aspects of location and existing infrastructure in indigenous communities, which are linked to the availability of oral health services, are associated with the occurrence of dental caries in indigenous populations in Brazil.
Directory of Open Access Journals (Sweden)
Melinda Butsch Kovacic
2014-10-01
Full Text Available Research informs action, but the challenge is its translation into practice. The 2012–2017 National Institute of Environmental Health Sciences Strategic Plan emphasizes partnership with community stakeholders to capture critical missing information about the effects of environment on health and to improve translation of study results, a daunting task for many traditionally-trained researchers. To better understand economic and neighborhood context consistent with these goals as well as existing inequities, we needed access to a highly affected community to inform and participate in our research. Our team therefore undertook a PhotoVoice project as a first step in establishing a participatory partnership and to appreciate the lived experiences of and build trust with youth visiting an urban community center in a high-risk, low-income, African American neighborhood located along a busy, polluted interstate. Ten 8–13 years-olds represented their community’s perspectives through photographs over 14-weeks using structured questioning. Five themes emerged: poor eating habits/inadequate nutrition; safety/violence; family/friends/community support; future hopes/dreams; and garbage/environment. Public viewings of the photos/captions facilitated engagement of other community agencies and multidisciplinary academic faculties to work together to build a sustainable “community collaboratory” that will promote health at the center by providing families knowledge/skills to prevent/minimize environmental exposures via diet/lifestyle changes using community-engaged, citizen scientist and systems thinking approaches.
Kovacic, Melinda Butsch; Stigler, Sara; Smith, Angela; Kidd, Alexis; Vaughn, Lisa M
2014-10-27
Research informs action, but the challenge is its translation into practice. The 2012-2017 National Institute of Environmental Health Sciences Strategic Plan emphasizes partnership with community stakeholders to capture critical missing information about the effects of environment on health and to improve translation of study results, a daunting task for many traditionally-trained researchers. To better understand economic and neighborhood context consistent with these goals as well as existing inequities, we needed access to a highly affected community to inform and participate in our research. Our team therefore undertook a PhotoVoice project as a first step in establishing a participatory partnership and to appreciate the lived experiences of and build trust with youth visiting an urban community center in a high-risk, low-income, African American neighborhood located along a busy, polluted interstate. Ten 8-13 years-olds represented their community's perspectives through photographs over 14-weeks using structured questioning. Five themes emerged: poor eating habits/inadequate nutrition; safety/violence; family/friends/community support; future hopes/dreams; and garbage/environment. Public viewings of the photos/captions facilitated engagement of other community agencies and multidisciplinary academic faculties to work together to build a sustainable "community collaboratory" that will promote health at the center by providing families knowledge/skills to prevent/minimize environmental exposures via diet/lifestyle changes using community-engaged, citizen scientist and systems thinking approaches.
Directory of Open Access Journals (Sweden)
Pedro Alves Filho
2013-09-01
Full Text Available This ecological study investigated the association between social and environmental inequities and dental caries among indigenous people in Brazil. Dental caries data were gathered from articles identified from electronic databases for the period between 2000 and 2007. Independent variables were obtained from the census of Health Information System for Sanitation Indigenous Populations. Multiple linear regression analysis was conducted to test the association between social and environmental characteristics and dental caries (DMFT index according to the age group. Results were analyzed for 48 indigenous peoples from 19 selected studies. The occurrence of dental caries in particular age groups was inversely associated with the location of villages outside the Amazon region (12, 15 - 19, and 20 - 34 years, availability of electricity (15 - 19 and 20 - 34 years and proportion of households covered with straw/thatch (20 - 34 years. The presence of schools was statistically associated with higher DMFT averages (15 - 19 and 20 - 34 years. It can be concluded that aspects of location and existing infrastructure in indigenous communities, which are linked to the availability of oral health services, are associated with the occurrence of dental caries in indigenous populations in Brazil.
Patterned Inequalities and the Inequality Regime of a Swedish Housing Company
Directory of Open Access Journals (Sweden)
Kristina Boréus
2015-12-01
Full Text Available In this article, the authors analyze inequalities between different groups of employees at a housing company in a larger Swedish city. The concept of inequality regime is taken as a point of departure. The purposes of the article are three: first, to add to knowledge of how inequality is generated at an organizational level at specific workplaces; second, to contribute to the understanding of how different practices, processes, and meanings of inequality regimes may interact to create and reinforce inequalities between natives and immigrants; and, third, to contribute to the empirical usefulness of the concept of inequality regime by demonstrating how it can be operationalized and combined with other concepts in the analysis. The study shows how the practices, processes, and meanings at the given workplace generated and reproduced different kinds of inequalities: unequal wages, an ethnic division of labor, unequal influence and job security, and unequal opportunities to capitalize on useful skills (i.e., language competence. Important conclusions are that different kinds of inequalities may reinforce each other by creating vicious circles, and subtler forms of inequality may partly explain explicit wage inequalities.
[Inequities in cardiovascular diseases in Latin America].
Fleischer, Nancy L; Diez Roux, Ana V
2013-01-01
In high-income countries, social inequalities in cardiovascular disease (CVD) risk are well-documented. Although Latin America has a rich history of theory and conceptual discussion regarding social inequalities in health, empirical research has been more limited. In this commentary we summarize recent empirical work on social inequalities in CVD risk in Latin America, and highlight key research needs as well as implications for prevention. Although much remains unknown about the social patterning of CVD in Latin America, the limited studies to date indicate that inequalities in CVD risk vary across populations and markers of socioeconomic position, as well as disease risk marker. The strongest social inequalities are seen among women, and in urban areas, with regards to obesity, diabetes, and diet. Few studies, though, have been conducted in some parts of Latin America, including the countries of Central America and northern South America. Vital registration systems and nationally-representative risk factor surveys can be important sources of data, as long as information on socioeconomic indicators is collected. Longitudinal studies will also be important for investigating factors driving social inequalities. As policies and prevention strategies are put into place to reduce CVD in Latin America, they must also address factors generating social inequalities in CVD risk.
Fractional Integral Inequalities via Hadamard’s Fractional Integral
2014-01-01
We establish new fractional integral inequalities, via Hadamard’s fractional integral. Several new integral inequalities are obtained, including a Grüss type Hadamard fractional integral inequality, by using Young and weighted AM-GM inequalities. Many special cases are also discussed.
Construction of Bell inequalities based on the CHSH structure
Liu, Binbin; Wang, Jing; Li, Ming; Shen, Shuqian; Chen, Dongmeng
2017-04-01
It is a computationally hard task to find all Bell inequalities for a given number of parties, measurement settings, and measurement outcomes. We investigate the construction of the Clauser-Horne-Shimony-Holt Bell inequalities, based on which we present a set of new Bell inequalities. The maximal violations of the constructed Bell inequalities are analysed, and computable formulas are derived.
Beckner Inequality on Finite- and Infinite-Dimensional Manifolds
Institute of Scientific and Technical Information of China (English)
Pingji DENG; Fengyu WANG
2006-01-01
By using the dimension-free Harnack inequality, the coupling method, and Bakry-Emery's argument, some explicit lower bounds are presented for the constant of the Beckner type inequality on compact manifolds. As applications, the Beckner inequality and the transportation cost inequality are established for a class of continuous spin systems.In particular, some results in [1, 2] are generalized.
Moment inequalities for the partial sums of random variables
Institute of Scientific and Technical Information of China (English)
杨善朝
2001-01-01
This paper discusses the conditions under which Rosenthal type inequality is obtained from M-Z-B type inequality. And M-Z-B type inequality is proved for a wide class of random variables. Hence Rosenthal type inequalities for some classes of random variables are obtained.
Equilibrium models and variational inequalities
Konnov, Igor
2007-01-01
The concept of equilibrium plays a central role in various applied sciences, such as physics (especially, mechanics), economics, engineering, transportation, sociology, chemistry, biology and other fields. If one can formulate the equilibrium problem in the form of a mathematical model, solutions of the corresponding problem can be used for forecasting the future behavior of very complex systems and, also, for correcting the the current state of the system under control. This book presents a unifying look on different equilibrium concepts in economics, including several models from related sciences.- Presents a unifying look on different equilibrium concepts and also the present state of investigations in this field- Describes static and dynamic input-output models, Walras, Cassel-Wald, spatial price, auction market, oligopolistic equilibrium models, transportation and migration equilibrium models- Covers the basics of theory and solution methods both for the complementarity and variational inequality probl...
Arbitrary Inequality in Reputation Systems
Frey, Vincenz; van de Rijt, Arnout
2016-12-01
Trust is an essential condition for exchange. Large societies must substitute the trust traditionally provided through kinship and sanctions in small groups to make exchange possible. The rise of internet-supported reputation systems has been celebrated for providing trust at a global scale, enabling the massive volumes of transactions between distant strangers that are characteristic of modern human societies. Here we problematize an overlooked side-effect of reputation systems: Equally trustworthy individuals may realize highly unequal exchange volumes. We report the results of a laboratory experiment that shows emergent differentiation between ex ante equivalent individuals when information on performance in past exchanges is shared. This arbitrary inequality results from cumulative advantage in the reputation-building process: Random initial distinctions grow as parties of good repute are chosen over those lacking a reputation. We conjecture that reputation systems produce artificial concentration in a wide range of markets and leave superior but untried exchange alternatives unexploited.
Generalized g-quasivariational inequality
Directory of Open Access Journals (Sweden)
Rabia Nessah
2005-01-01
Full Text Available Suppose that X is a nonempty subset of a metric space E and Y is a nonempty subset of a topological vector space F. Let g:X→Y and ψ:X×Y→ℝ be two functions and let S:X→2Y and T:Y→2F∗ be two maps. Then the generalized g-quasivariational inequality problem (GgQVI is to find a point x¯∈X and a point f∈T(g(x¯ such that g(x¯∈S(x¯ and supy∈S(x¯{Re〈f,y−g(x¯〉+ψ(x¯,y}=ψ(x¯,g(x¯. In this paper, we prove the existence of a solution of (GgQVI.
Sexism and gender inequality across 57 societies.
Brandt, Mark J
2011-11-01
Theory predicts that individuals' sexism serves to exacerbate inequality in their society's gender hierarchy. Past research, however, has provided only correlational evidence to support this hypothesis. In this study, I analyzed a large longitudinal data set that included representative data from 57 societies. Multilevel modeling showed that sexism directly predicted increases in gender inequality. This study provides the first evidence that sexist ideologies can create gender inequality within societies, and this finding suggests that sexism not only legitimizes the societal status quo, but also actively enhances the severity of the gender hierarchy. Three potential mechanisms for this effect are discussed briefly.
Bohr Inequality for Multiple Op erators
Institute of Scientific and Technical Information of China (English)
LIAN Tie-yan; TANG Wei
2016-01-01
An absolute value equation is established for linear combinations of two operators. When the parameters take special values, the parallelogram law of operator type is given. In addition, the operator equation in literature [3] and its equivalent deformation are obtained. Based on the equivalent deformation of the operator equation and using the properties of conjugate number as well as the operator, an absolute value identity of multiple operators is given by means of mathematical induction. As Corollaries, Bohr inequalities are extended to multiple operators and some related inequalities are reduced to, such as inequalities in [2] and [3].
Optimal Financial Knowledge and Wealth Inequality.
Lusardi, Annamaria; Michaud, Pierre-Carl; Mitchell, Olivia S
2017-04-01
We show that financial knowledge is a key determinant of wealth inequality in a stochastic lifecycle model with endogenous financial knowledge accumulation, where financial knowledge enables individuals to better allocate lifetime resources in a world of uncertainty and imperfect insurance. Moreover, because of how the U.S. social insurance system works, better-educated individuals have most to gain from investing in financial knowledge. Our parsimonious specification generates substantial wealth inequality relative to a one-asset saving model and one where returns on wealth depend on portfolio composition alone. We estimate that 30-40 percent of retirement wealth inequality is accounted for by financial knowledge.
A Note on Jensen's Inequality for BSDEs
Institute of Scientific and Technical Information of China (English)
Sheng Jun FAN
2009-01-01
Under the Lipschitz assumption and square integrable assumption on g, Jiang proved that Jensen's inequality for BSDEs with generator g holds in general if and only if g is independent of y, g is super homogenous in z and g(t,0)=0, a.s., a.e.. In this paper, based on Jiang's results, under the same assumptions as Jiang's, we investigate the necessary and sufficient condition on g under which Jensen's inequality for BSDEs with generator g holds for some specific convex functions, which generalizes some known results on Jensen's inequality for BSDEs.
Product market integration, rents and wage inequality
DEFF Research Database (Denmark)
Andersen, Torben M.; Sørensen, Allan
Globalization in the form of product market integration affects labour markets and produces winners and losers. While there are aggregate gains, it is in general ambiguous how inequality is affected. We explore this issue in a Ricardian model and show that it depends on the balance between...... "protection" and "specialization" rents. In particular, wage inequality among similar workers (residual wage inequality) may be U-shaped, at first decreasing and then increasing in the process of product market integration. Consequently, there may be gains in both the efficiency and the equity dimension until...
Towards information inequalities for generalized graph entropies.
Directory of Open Access Journals (Sweden)
Lavanya Sivakumar
Full Text Available In this article, we discuss the problem of establishing relations between information measures for network structures. Two types of entropy based measures namely, the Shannon entropy and its generalization, the Rényi entropy have been considered for this study. Our main results involve establishing formal relationships, by means of inequalities, between these two kinds of measures. Further, we also state and prove inequalities connecting the classical partition-based graph entropies and partition-independent entropy measures. In addition, several explicit inequalities are derived for special classes of graphs.
A simple proof of Bell's inequality
Maccone, Lorenzo
2013-11-01
Bell's theorem is a fundamental result in quantum mechanics: it discriminates between quantum mechanics and all theories where probabilities in measurement results arise from the ignorance of pre-existing local properties. We give an extremely simple proof of Bell's inequality; a single figure suffices. This simplicity may be useful in the unending debate over what exactly the Bell inequality means, because the hypotheses underlying the proof become transparent. It is also a useful didactic tool, as the Bell inequality can be explained in a single intuitive lecture.
Health and social inequities in Sweden
DEFF Research Database (Denmark)
Diderichsen, Finn
1990-01-01
Sweden is one of Europe's most egalitarian countries. The social inequities in living conditions have been gradually reduced to a level that is more equal than in most countries in Europe. Even if general health development has been positive during recent years, data reviewed here indicate...... that there may be adverse effects for some groups which may increase inequities. This article presents results on inequities in health from the Public Health Report of Sweden 1987 and discusses causal mechanisms and implications for health policy....
Area inequalities for stable marginally trapped surfaces
Jaramillo, José Luis
2012-01-01
We discuss a family of inequalities involving the area, angular momentum and charges of stably outermost marginally trapped surfaces in generic non-vacuum dynamical spacetimes, with non-negative cosmological constant and matter sources satisfying the dominant energy condition. These inequalities provide lower bounds for the area of spatial sections of dynamical trapping horizons, namely hypersurfaces offering quasi-local models of black hole horizons. In particular, these inequalities represent particular examples of the extension to a Lorentzian setting of tools employed in the discussion of minimal surfaces in Riemannian contexts.
Integral and finite difference inequalities and applications
Pachpatte, B G
2006-01-01
The monograph is written with a view to provide basic tools for researchers working in Mathematical Analysis and Applications, concentrating on differential, integral and finite difference equations. It contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools and will be a valuable source for a long time to come. It is self-contained and thus should be useful for those who are interested in learning or applying the inequalities with explicit estimates in their studies.- Contains a variety of inequalities discovered which find numero
Health and social inequities in Sweden
DEFF Research Database (Denmark)
Diderichsen, Finn
1990-01-01
Sweden is one of Europe's most egalitarian countries. The social inequities in living conditions have been gradually reduced to a level that is more equal than in most countries in Europe. Even if general health development has been positive during recent years, data reviewed here indicate...... that there may be adverse effects for some groups which may increase inequities. This article presents results on inequities in health from the Public Health Report of Sweden 1987 and discusses causal mechanisms and implications for health policy....
Global oral health inequalities: the view from a research funder.
Garcia, I; Tabak, L A
2011-05-01
Despite impressive worldwide improvements in oral health, inequalities in oral health status among and within countries remain a daunting public health challenge. Oral health inequalities arise from a complex web of health determinants, including social, behavioral, economic, genetic, environmental, and health system factors. Eliminating these inequalities cannot be accomplished in isolation of oral health from overall health, or without recognizing that oral health is influenced at multiple individual, family, community, and health systems levels. For several reasons, this is an opportune time for global efforts targeted at reducing oral health inequalities. Global health is increasingly viewed not just as a humanitarian obligation, but also as a vehicle for health diplomacy and part of the broader mission to reduce poverty, build stronger economies, and strengthen global security. Despite the global economic recession, there are trends that portend well for support of global health efforts: increased globalization of research and development, growing investment from private philanthropy, an absolute growth of spending in research and innovation, and an enhanced interest in global health among young people. More systematic and far-reaching efforts will be required to address oral health inequalities through the engagement of oral health funders and sponsors of research, with partners from multiple public and private sectors. The oral health community must be "at the table" with other health disciplines and create opportunities for eliminating inequalities through collaborations that can harness both the intellectual and financial resources of multiple sectors and institutions.
Tranvåg, Eirik Joakim; Ali, Merima; Norheim, Ole Frithjof
2013-07-11
Most studies on health inequalities use average measures, but describing the distribution of health can also provide valuable knowledge. In this paper, we estimate and compare within-group and between-group inequalities in length of life for population groups in Ethiopia in 2000 and 2011. We used data from the 2011 and 2000 Ethiopia Demographic and Health Survey and the Global Burden of Disease study 2010, and the MODMATCH modified logit life table system developed by the World Health Organization to model mortality rates, life expectancy, and length of life for Ethiopian population groups stratified by wealth quintiles, gender and residence. We then estimated and compared within-group and between-group inequality in length of life using the Gini index and absolute length of life inequality. Length of life inequality has decreased and life expectancy has increased for all population groups between 2000 and 2011. Length of life inequality within wealth quintiles is about three times larger than the between-group inequality of 9 years. Total length of life inequality in Ethiopia was 27.6 years in 2011. Longevity has increased and the distribution of health in Ethiopia is more equal in 2011 than 2000, with length of life inequality reduced for all population groups. Still there is considerable potential for further improvement. In the Ethiopian context with a poor and highly rural population, inequality in length of life within wealth quintiles is considerably larger than between them. This suggests that other factors than wealth substantially contribute to total health inequality in Ethiopia and that identification and quantification of these factors will be important for identifying proper measures to further reduce length of life inequality.
The poverty-inequality relationship in Malawi: A multidimensional perspective
Mussa, Richard
2011-01-01
This paper looks at the linkage between poverty and inequality by investigating the poverty impacts of changes in within and between inequalities in Malawi. We recognize the multidimensional nature of both poverty and inequality by focusing on monetary (consumption) and non monetary (health and education) dimensions of well being. Two questions are answered namely; what is the contribution of within-group inequalities (vertical inequalities) to total poverty? And what is the contribution of b...
Poverty and Inequality Nexus: Illustrations with Nigerian Data
Abdelkrim Araar; Awoyemi Taiwo Timothy
2006-01-01
The main aim of this paper is to explore the link between poverty and inequality. In developing countries, there is a general consensus that high inequality can dampen significantly the impact of economic performance on poverty. In this paper, we propose a new theoretical framework that links poverty and inequality. We also show between and within group inequalities, as well as inequality in income sources, can contribute to total poverty. The methodology of the paper is illustrated using the...
HARDY-SOBOLEV INEQUALITIES WITH GENERAL WEIGHTS AND REMAINDER TERMS
Institute of Scientific and Technical Information of China (English)
Chen Zhihui; Shen Yaotian
2008-01-01
The Hardy-Sobolev inequality with general weights is established, and it is shown that the constant is optimal. The two weights in this inequality are determined by a Bernoulli equation. In addition, the authors obtain the Hardy-Sobolev inequality with general weights and remainder terms. By choosing special weights, it turns to be many versions of the Hardy-Sobolev inequality and the Caffarelli-Kohn-Nirenberg inequality with remainder terms in the literature.
The Chinese Economy and Income Inequality among East Asian Countries
Sumie Sato; Mototsugu Fukushige
2010-01-01
Using the Atkinson inequality measure of income distribution, we analyze the impact of China as a single country and examine the effect of its domestic income inequality on total income inequality among East Asian countries. First, we find that China's domestic income inequality exacerbated income inequality among East Asian countries from the 1980s, and this effect became even more pronounced from 1990. Second, the growth of China's per capita GDP had an equalizing effect on income distribut...
Directory of Open Access Journals (Sweden)
Ali Alsamawi
Full Text Available In this study we use economic input-output analysis to calculate the inequality footprint of nations. An inequality footprint shows the link that each country's domestic economic activity has to income distribution elsewhere in the world. To this end we use employment and household income accounts for 187 countries and an historical time series dating back to 1990. Our results show that in 2010, most developed countries had an inequality footprint that was higher than their within-country inequality, meaning that in order to support domestic lifestyles, these countries source imports from more unequal economies. Amongst exceptions are the United States and United Kingdom, which placed them on a par with many developing countries. Russia has a high within-country inequality nevertheless it has the lowest inequality footprint in the world, which is because of its trade connections with the Commonwealth of Independent States and Europe. Our findings show that the commodities that are inequality-intensive, such as electronic components, chemicals, fertilizers, minerals, and agricultural products often originate in developing countries characterized by high levels of inequality. Consumption of these commodities may implicate within-country inequality in both developing and developed countries.
Inequalities in South African health care
African Journals Online (AJOL)
address inequalities in health care should commence at the root causes and ..... financed systems, ranging from national healch insurance systems, nation- al heahh service .... In SOUIh. Africa's case we are prisoners of our history with regard.
POVERTY, GROWTH AND INEQUALITY IN DEVELOPING COUNTRIES
Directory of Open Access Journals (Sweden)
Guiga Housseima
2012-01-01
Full Text Available The purpose of this paper is to assess the position of some developing countries in relation to different theories about the relationship between poverty, growth and inequality. We conducted an econometric analysis through a study using panel data from 52 developing countries over the period 1990-2005, to determine the main sources of poverty reduction and show the interdependence between poverty, inequality and growth by using a system of simultaneous equations. This method is rarely applied econometric panel data and especially in the case studies on poverty. Our results indicate that the state investment in social sectors such as education and health and improving the living conditions of the rural population can promote economic growth and reducing inequality. Therefore, the Kuznets hypothesis is based on a relationship between economic growths to income inequality is most appropriate.
Generalized Strongly Nonlinear Implicit Quasivariational Inequalities
Directory of Open Access Journals (Sweden)
Salahuddin
2009-01-01
Full Text Available We prove an existence theorem for solution of generalized strongly nonlinear implicit quasivariational inequality problems and convergence of iterative sequences with errors, involving Lipschitz continuous, generalized pseudocontractive and generalized -pseudocontractive mappings in Hilbert spaces.
Inequality, income, and poverty: comparative global evidence.
Fosu, Augustin Kwasi
2010-01-01
Objectives. The study seeks to provide comparative global evidence on the role of income inequality, relative to income growth, in poverty reduction.Methods. An analysis-of-covariance model is estimated using a large global sample of 1980–2004 unbalanced panel data, with the headcount measure of poverty as the dependent variable, and the Gini coefficient and PPP-adjusted mean income as explanatory variables. Both random-effects and fixed-effects methods are employed in the estimation.Results. The responsiveness of poverty to income is a decreasing function of inequality, and the inequality elasticity of poverty is actually larger than the income elasticity of poverty. Furthermore, there is a large variation across regions (and countries) in the relative effects of inequality on poverty.Conclusion. Income distribution plays a more important role than might be traditionally acknowledged in poverty reduction, though this importance varies widely across regions and countries.
On Some Generalized Ky Fan Minimax Inequalities
Directory of Open Access Journals (Sweden)
Luo Xianqiang
2009-01-01
Full Text Available Some generalized Ky Fan minimax inequalities for vector-valued mappings are established by applying the classical Browder fixed point theorem and the Kakutani-Fan-Glicksberg fixed point theorem.
The policy response to educational inequalities
Checchi, D.; van de Werfhorst, H.; Braga, M.; Meschi, E.; Salverda, W.; Nolan, B.; Checchi, D.; Marx, I.; McKnight, A.; Tóth, I.G.; van de Werfhorst, H.
2014-01-01
The chapter examines policies that may help combating educational inequalities in the competences achieved (i.e. quality of education). Using cross-sectional data the chapter demonstrates a correlation between institutional characteristics of educational systems and student achievement, including
Rectifying Horizontal Inequalities: Lessons from African Conflict
African Journals Online (AJOL)
answer is: How can nations emerging from conflict create sustainable peace and stability? ..... to allow their (Tutsi refugees) return, insisting that Rwanda was already .... perceived inequality of justice will destroy any legitimacy that the RPF.
Does inequality in health impede economic growth?
Grimm, Michael
2011-01-01
This paper investigates the effects of inequality in health on economic growth in low and middle income countries. The empirical part of the paper uses an original cross-national panel data set covering 62 low and middle income countries over the period 1985 to 2007. I find a substantial and relatively robust negative effect of health inequality on income levels and income growth controlling for life expectancy, country and time fixed-effects and a large number of other effects that have been shown to matter for growth. The effect also holds if health inequality is instrumented to circumvent a potential problem of reverse causality. Hence, reducing inequality in the access to health care and to health-related information can make a substantial contribution to economic growth.
Weak entropy inequalities and entropic convergence
Institute of Scientific and Technical Information of China (English)
GAO FuQing; LI LiNa
2008-01-01
A criterion for algebraic convergence of the entropy is presented and an algebraic convergence result for the entropy of an exclusion process is improved.A weak entropy inequality is considered and its relationship to entropic convergence is discussed.
Weak entropy inequalities and entropic convergence
Institute of Scientific and Technical Information of China (English)
2008-01-01
A criterion for algebraic convergence of the entropy is presented and an algebraic convergence result for the entropy of an exclusion process is improved. A weak entropy inequality is considered and its relationship to entropic convergence is discussed.
Did Economic Inequality Cause the Economic Crisis
National Research Council Canada - National Science Library
Danilo Sukovic
2014-01-01
... that occurred during the last three decades. The global economic crisis that emerged in 2008 gave a new impetus to this research because numerous scientific studies appeared in which inequalities were given as one of the key causes...
Income inequality in today’s China
Xie, Yu; Zhou, Xiang
2014-01-01
Using multiple data sources, we establish that China's income inequality since 2005 has reached very high levels, with the Gini coefficient in the range of 0.53–0.55. Analyzing comparable survey data collected in 2010 in China and the United States, we examine social determinants that help explain China’s high income inequality. Our results indicate that a substantial part of China’s high income inequality is due to regional disparities and the rural-urban gap. The contributions of these two structural forces are particularly strong in China, but they play a negligible role in generating the overall income inequality in the United States, where individual-level and family-level income determinants, such as family structure and race/ethnicity, play a much larger role. PMID:24778237
ON SOME RETARDED INTEGRAL INEQUALITIES AND APPLICATIONS
Institute of Scientific and Technical Information of China (English)
无
2010-01-01
We establish explicit bounds on some more general retarded integral inequalities which can be used as convenient tools in some applications, and give some examples which show the feasibility of our results.
OPTIMAL CONTROL PROBLEM FOR PARABOLIC VARIATIONAL INEQUALITIES
Institute of Scientific and Technical Information of China (English)
汪更生
2001-01-01
This paper deals with the optimal control problems of systems governed by a parabolic variational inequality coupled with a semilinear parabolic differential equations.The maximum principle and some kind of approximate controllability are studied.
Integral and discrete inequalities and their applications
Qin, Yuming
2016-01-01
This book focuses on one- and multi-dimensional linear integral and discrete Gronwall-Bellman type inequalities. It provides a useful collection and systematic presentation of known and new results, as well as many applications to differential (ODE and PDE), difference, and integral equations. With this work the author fills a gap in the literature on inequalities, offering an ideal source for researchers in these topics. The present volume is part 1 of the author’s two-volume work on inequalities. Integral and discrete inequalities are a very important tool in classical analysis and play a crucial role in establishing the well-posedness of the related equations, i.e., differential, difference and integral equations.
Tackling health inequalities: moving theory to action
Signal, Louise; Martin, Jennifer; Reid, Papaarangi; Carroll, Christopher; Howden-Chapman, Philippa; Ormsby, Vera Keefe; Richards, Ruth; Robson, Bridget; Wall, Teresa
2007-01-01
Background This paper reports on health inequalities awareness-raising workshops conducted with senior New Zealand health sector staff as part of the Government's goal of reducing inequalities in health, education, employment and housing. Methods The workshops were based on a multi-method needs assessment with senior staff in key health institutions. The workshops aimed to increase the knowledge and skills of health sector staff to act on, and advocate for, eliminating inequalities in health. They were practical, evidence-based, and action oriented and took a social approach to the causes of inequalities in health. The workshops used ethnicity as a case study and explored racism as a driver of inequalities. They focused on the role of institutionalized racism, or racism that is built into health sector institutions. Institutional theory provided a framework for participants to analyse how their institutions create and maintain inequalities and how they can act to change this. Results Participants identified a range of institutional mechanisms that promote inequalities and a range of ways to address them including: undertaking further training, using Māori (the indigenous people) models of health in policy-making, increasing Māori participation and partnership in decision making, strengthening sector relationships with iwi (tribes), funding and supporting services provided 'by Māori for Māori', ensuring a strategic approach to intersectoral work, encouraging stronger community involvement in the work of the institution, requiring all evaluations to assess impact on inequalities, and requiring the sector to report on progress in addressing health inequalities. The workshops were rated highly by participants, who indicated increased commitment to tackle inequalities as a result of the training. Discussion Government and sector leadership were critical to the success of the workshops and subsequent changes in policy and practice. The use of locally adapted equity
Tackling health inequalities: moving theory to action
Directory of Open Access Journals (Sweden)
Ormsby Vera
2007-10-01
Full Text Available Abstract Background This paper reports on health inequalities awareness-raising workshops conducted with senior New Zealand health sector staff as part of the Government's goal of reducing inequalities in health, education, employment and housing. Methods The workshops were based on a multi-method needs assessment with senior staff in key health institutions. The workshops aimed to increase the knowledge and skills of health sector staff to act on, and advocate for, eliminating inequalities in health. They were practical, evidence-based, and action oriented and took a social approach to the causes of inequalities in health. The workshops used ethnicity as a case study and explored racism as a driver of inequalities. They focused on the role of institutionalized racism, or racism that is built into health sector institutions. Institutional theory provided a framework for participants to analyse how their institutions create and maintain inequalities and how they can act to change this. Results Participants identified a range of institutional mechanisms that promote inequalities and a range of ways to address them including: undertaking further training, using Māori (the indigenous people models of health in policy-making, increasing Māori participation and partnership in decision making, strengthening sector relationships with iwi (tribes, funding and supporting services provided 'by Māori for Māori', ensuring a strategic approach to intersectoral work, encouraging stronger community involvement in the work of the institution, requiring all evaluations to assess impact on inequalities, and requiring the sector to report on progress in addressing health inequalities. The workshops were rated highly by participants, who indicated increased commitment to tackle inequalities as a result of the training. Discussion Government and sector leadership were critical to the success of the workshops and subsequent changes in policy and practice. The use
Bell's inequalities in the tomographic representation
Lupo, C; Marmo, G
2006-01-01
The tomographic approach to quantum mechanics is revisited as a direct tool to investigate violation of Bell-like inequalities. Since quantum tomograms are well defined probability distributions, the tomographic approach is emphasized to be the most natural one to compare the predictions of classical and quantum theory. Examples of inequalities for two qubits an two qutrits are considered in the tomographic probability representation of spin states.
Coefficient inequalities for starlikeness and convexity
Directory of Open Access Journals (Sweden)
Ali Rosihan M.
2013-06-01
Full Text Available For an analytic function $f(z=z+\\sum_{n=2}^\\infty a_n z^n$ satisfying the inequality $\\sum_{n=2}^\\infty n(n-1|a_n|\\leq \\beta$, sharp bound on $\\beta$ is determined so that $f$ is either starlike or convex of order $\\alpha$. Several other coefficient inequalities related to certain subclasses are also investigated.
Correlations for a new Bell's inequality experiment
Sica, L
2002-01-01
Proofs of Bell's theorem and the data analysis used to show its violation have commonly assumed a spatially stationary underlying process. However, it has been shown recently that the appropriate Bell's inequality holds identically for cross correlations of three or four lists of + or - 1's, independently of statistical assumptions. When data consistent with its derivation are analyzed without imposition of the stationarity assumption, the resulting correlations satisfy the Bell inequality.
Ostrowski Type Inequalities in the Grushin Plane
Directory of Open Access Journals (Sweden)
Liu Heng-Xing
2010-01-01
Full Text Available Motivated by the work of B.-S. Lian and Q.-H. Yang (2010 we proved an Ostrowski inequality associated with Carnot-Carathéodory distance in the Grushin plane. The procedure is based on a representation formula. Using the same representation formula, we prove some Hardy type inequalities associated with Carnot-Carathéodory distance in the Grushin plane.
A Bell inequality with local violation
Cabello, Adan
2009-01-01
We introduce a Bell-like inequality for testing the Kochen-Specker with locality theorem and the free will theorem. Remarkably, quantum mechanics violates this inequality even though the quantum correlations between the distant systems admit a local description. The violation is due to the correlations between successive compatible measurements on one of the local systems. The violation is robust against imperfections, and can be observed in actual experiments.
Selection bias and measures of inequality
Vazquez-alvarez, Rosalia; Melenberg, Bertrand; Soest, Arthur van
2002-01-01
Variables typically used to measure inequality (e.g., wage earnings, household income or expenditure), are often plagued by nonrandom item nonresponse. Ignoring non-respondents or making (often untestable) assumptions on the nonresponse sub-population can lead to selection bias on estimates of inequality. This paper draws on the approach by Manski (1989,1994) to derive bounding intervals on both the Gini coefficient and the Inter-Quartile range. Both sets of bounds provide alternative measure...
Does Income Inequality Lead to Terrorism?
Krieger, Tim; Meierrieks, Daniel
2016-01-01
We analyze the effect of income inequality on terrorism for a sample of 114 countries between 1985 and 2012. We provide evidence, robust to various methodological changes (e.g., different dependent variables, instrumental-variable approaches), that higher levels of income inequality are associated with more terrorism. Consistent with relative deprivation theory, we argue that this effect is a direct consequence of frustration over the distribution of income within a society, resulting in terr...
Migration and Education Inequality in Rural Mexico
David McKenzie; Hillel Rapoport
2006-01-01
This paper examines the impact of migration on education inequality in rural Mexico. Using data from the 1997 National Survey of Demographic Dynamics (ENADID), we first examine the impact of migration on educational attainment for males and females aged 12-15 and 16-18. We then build on the results on attainments to compute education inequality indicators for a large sample of communities throughout Mexico. After instrumenting, we find no significant impact of migration on educational attainm...
Some inequalities for the Bell numbers
Indian Academy of Sciences (India)
FENG QI
2017-09-01
In this paper, we present derivatives of the generating functions for the Bell numbers by induction and by the Faà di Bruno formula, recover an explicit formula in terms of the Stirling numbers of the second kind, find the (logarithmically) absolute and complete monotonicity of the generating functions, and construct some inequalities for the Bell numbers. From these inequalities, we derive the logarithmic convexity of the sequence of the Bell numbers.
Limit theorems and inequalities via martingale methods
Directory of Open Access Journals (Sweden)
Chazottes Jean-René
2014-01-01
Full Text Available In these notes, we first give a brief overwiew of martingales methods, from Paul Lévy (1935 untill now, to explain why these methods have become a central tool in probability, statistics and ergodic theory. Next, we present some recent results for/or based on martingales: exponential bounds for super-martingales, concentration inequalities for Lipschitz functionals of dynamical systems, oracle inequalities for the Cox model in a high dimensional setting, and invariance principles for stationary sequences.
Ferrant, Gaëlle
2010-01-01
The measurement of gender inequalities has become an important topic in the academic literature. First, appropriate indicators are needed to compare the relative situation of women in developing countries. Second, there is renewed attention given to the relationship between gender inequality and economic growth. Measuring gender inequalities contributes to knowing whether greater inequality promotes or hampers growth. The aim of this paper is twofold. First, the Gender Inequalities Index (GII...
Fourier transform inequalities for phylogenetic trees.
Matsen, Frederick A
2009-01-01
Phylogenetic invariants are not the only constraints on site-pattern frequency vectors for phylogenetic trees. A mutation matrix, by its definition, is the exponential of a matrix with non-negative off-diagonal entries; this positivity requirement implies non-trivial constraints on the site-pattern frequency vectors. We call these additional constraints "edge-parameter inequalities". In this paper, we first motivate the edge-parameter inequalities by considering a pathological site-pattern frequency vector corresponding to a quartet tree with a negative internal edge. This site-pattern frequency vector nevertheless satisfies all of the constraints described up to now in the literature. We next describe two complete sets of edge-parameter inequalities for the group-based models; these constraints are square-free monomial inequalities in the Fourier transformed coordinates. These inequalities, along with the phylogenetic invariants, form a complete description of the set of site-pattern frequency vectors corresponding to bona fide trees. Said in mathematical language, this paper explicitly presents two finite lists of inequalities in Fourier coordinates of the form "monomial < or = 1", each list characterizing the phylogenetically relevant semialgebraic subsets of the phylogenetic varieties.
7th International Conference on General Inequalities
Everitt, William; Losonczi, Laszlo; Walter, Wolfgang
1997-01-01
Inequalities continue to play an essential role in mathematics. The subject is per haps the last field that is comprehended and used by mathematicians working in all the areas of the discipline of mathematics. Since the seminal work Inequalities (1934) of Hardy, Littlewood and P6lya mathematicians have laboured to extend and sharpen the earlier classical inequalities. New inequalities are discovered ev ery year, some for their intrinsic interest whilst others flow from results obtained in various branches of mathematics. So extensive are these developments that a new mathematical periodical devoted exclusively to inequalities will soon appear; this is the Journal of Inequalities and Applications, to be edited by R. P. Agar wal. Nowadays it is difficult to follow all these developments and because of lack of communication between different groups of specialists many results are often rediscovered several times. Surveys of the present state of the art are therefore in dispensable not only to mathematici...
H1N1, globalization and the epidemiology of inequality.
Sparke, Matthew; Anguelov, Dimitar
2012-07-01
This paper examines the lessons learned from the 2009 H1N1 pandemic in relation to wider work on globalization and the epidemiology of inequality. The media attention and economic resources diverted to the threats posed by H1N1 were significant inequalities themselves when contrasted with weaker responses to more lethal threats posed by other diseases associated with global inequality. However, the multiple inequalities revealed by H1N1 itself in 2009 still provide important insights into the future of global health in the context of market-led globalization. These lessons relate to at least four main forms of inequality: (1) inequalities in blame for the outbreak in the media; (2) inequalities in risk management; (3) inequalities in access to medicines; and (4) inequalities encoded in the actual emergence of new flu viruses.
Inequality, Social Justice and Welfare
Directory of Open Access Journals (Sweden)
Elena S. Averkieva
2016-09-01
Full Text Available Researching the redistribution processes in the framework of welfare economics is primarily carried out through the analysis of implementation opportunity of the social justice principle. Distributive justice involves the redistribution of income and resources in proportion to certain criteria. However, there is still no consensus on these criteria, which would clearly judge the fairness of the distribution.Individual needs, rights, desert or specific contributions of citizens in the development of society, the product outcomes, and many others can be served as the justice criteria. According to an egalitarian tradition, if not identified relevant distinguishing criteria, we can talk about the existence of the presumption of equality. Establishing equality means the advantages elimination of one individual over others. The paper attempts to analyze the egalitarian policies measures to implementation of equal opportunities, treatment and results, which ideally should neutralize all negative effects of a high degree of social inequality and achieve the desired goals of social policy. The paper also provides the argument concerning the realization possibility of the general equality idea. The author focuses on the existence of the exclusions in the equality policy - on the idea of «positive discrimination», which determines the appearance of conflicts between individual and public interests.
Devaux, Marion
2015-01-01
A key policy objective in OECD countries is to achieve adequate access to health care for all people on the basis of need. Previous studies have shown that there are inequities in health care services utilisation (HCSU) in the OECD area. In recent years, measures have been taken to enhance health care access. This paper re-examines income-related inequities in doctor visits among 18 selected OECD countries, updating previous results for 12 countries with 2006-2009 data, and including six new countries. Inequalities in preventive care services are also considered for the first time. The indirect standardisation procedure is used to estimate the need-adjusted HCSU and concentration indexes are derived to gauge inequalities and inequities. Overall, inequities in HCSU remain present in OECD countries. In most countries, for the same health care needs, people with higher incomes are more likely to consult a doctor than those with lower incomes. Pro-rich inequalities in dental visits and cancer screening uptake are also found in nearly all countries, although the magnitude of these varies among countries. These findings suggest that further monitoring of inequalities is essential in order to assess whether country policy objectives are achieved on a regular basis.
Beyond the income inequality hypothesis: class, neo-liberalism, and health inequalities.
Coburn, David
2004-01-01
This paper describes and critiques the income inequality approach to health inequalities. It then presents an alternative class-based model through a focus on the causes and not only the consequences of income inequalities. In this model, the relationship between income inequality and health appears as a special case within a broader causal chain. It is argued that global and national socio-political-economic trends have increased the power of business classes and lowered that of working classes. The neo-liberal policies accompanying these trends led to increased income inequality but also poverty and unequal access to many other health-relevant resources. But international pressures towards neo-liberal doctrines and policies are differentially resisted by various nations because of historically embedded variation in class and institutional structures. Data presented indicates that neo-liberalism is associated with greater poverty and income inequalities, and greater health inequalities within nations. Furthermore, countries with Social Democratic forms of welfare regimes (i.e., those that are less neo-liberal) have better health than do those that are more neo-liberal. The paper concludes with discussion of what further steps are needed to "go beyond" the income inequality hypothesis towards consideration of a broader set of the social determinants of health.
Aging and Cumulative Inequality: How Does Inequality Get Under the Skin?
Ferraro, Kenneth F.; Shippee, Tetyana Pylypiv
2009-01-01
Purpose: This article draws from cumulative disadvantage and life course theories to develop a new theory for the social scientific study of aging. Design and Methods: Five axioms of "cumulative inequality (CI) theory" are articulated to identify how life course trajectories are influenced by early and accumulated inequalities but can be modified…
Inequality of Opportunity and Income Inequality in Nine Chinese Provinces, 1989-2006
DEFF Research Database (Denmark)
Eriksson, Tor Viking; Zhang, Yingqiang
2010-01-01
questions addressed empirically for the first time in a Chinese context are: to what extent are individuals' incomes and individual income differences due to factors beyond the individual's control (in Roemer's terminology ''circumstances'') and to what extent are they due to outcomes of the individual...... factors enabling us to construct a host of circumstance and effort variables for the offspring. We find that China has a substantial degree of inequality of opportunity. Parental income and parents' type of employer explain about two thirds of the total inequality of opportunity. Notably, parental...... education plays only a minor role implying that parental connections remain important. The results show that the increase in income inequality during the period under study largely mirrors the increase in inequality of opportunity. Thus, increased income inequality does not reflect changes in effort...
Some Properties of Furuta Type Inequalities and Applications
Directory of Open Access Journals (Sweden)
Jiangtao Yuan
2014-01-01
Full Text Available This work is to consider Furuta type inequalities and their applications. Firstly, some Furuta type inequalities under A≥B≥0 are obtained via Loewner-Heinz inequality; as an application, a proof of Furuta inequality is given without using the invertibility of operators. Secondly, we show a unified satellite theorem of grand Furuta inequality which is an extension of the results by Fujii et al. At the end, a kind of Riccati type operator equation is discussed via Furuta type inequalities.
Night lights and regional income inequality in Africa
DEFF Research Database (Denmark)
Mveyange, Anthony Francis
Estimating regional income inequality in Africa has been challenging due to the lack of reliable and consistent sub-national income data. I employ night lights data to circumvent this limitation. I find significant and positive associations between regional inequality visible through night lights...... and income in Africa. Thus, in the absence of income data, we can construct regional inequality proxies using night lights data. Further investigation on the night lights-based regional inequality trends reveals two main findings: first, increasing regional inequality trends between 1992 and 2003; and second......, declining regional inequality trends between 2004 and 2012....
On improved fractional Sobolev-Poincaré inequalities
Dyda, Bartłomiej; Ihnatsyeva, Lizaveta; Vähäkangas, Antti V.
2016-10-01
We study a certain improved fractional Sobolev-Poincaré inequality on domains, which can be considered as a fractional counterpart of the classical Sobolev-Poincaré inequality. We prove the equivalence of the corresponding weak and strong type inequalities; this leads to a simple proof of a strong type inequality on John domains. We also give necessary conditions for the validity of an improved fractional Sobolev-Poincaré inequality, in particular, we show that a domain of finite measure, satisfying this inequality and a `separation property', is a John domain.
MULTIVARIATE WEIGHTED BERNSTEIN-TYPE INEQUALITY AND ITS APPLICATIONS
Institute of Scientific and Technical Information of China (English)
Cao Feilong; Lin Shaobo
2012-01-01
Bernstein inequality played an important role in approximation theory and Fourier analysis.This article first introduces a general system of functions and the socalled multivariate weighted Bernstein,Nikol'skiǐ,and Ul'yanov-type inequalities.Then,the relations among these three inequalities are discussed.Namely,it is proved that a family of functions equipped with Bernstein-type inequality satisfies Nikol'skiǐ-type and Ul'yanov-type inequality.Finally,as applications,some classical inequalities are deduced from the obtained results.
Inequalities for Dual Quermassintegrals of Mixed Intersection Bodies
Indian Academy of Sciences (India)
Zhao Chang-jian; Leng Gang-song
2005-02-01
In this paper, we first introduce a new concept of dual quermassintegral sum function of two star bodies and establish Minkowski’s type inequality for dual quermassintegral sum of mixed intersection bodies, which is a general form of the Minkowski inequality for mixed intersection bodies. Then, we give the Aleksandrov–Fenchel inequality and the Brunn–Minkowski inequality for mixed intersection bodies and some related results. Our results present, for intersection bodies, all dual inequalities for Lutwak’s mixed prosection bodies inequalities.
Einstein-Podolsky-Rosen steering inequalities from entropic uncertainty relations
Schneeloch, James; Broadbent, Curtis J.; Walborn, Stephen P.; Cavalcanti, Eric G.; Howell, John C.
2013-06-01
We use entropic uncertainty relations to formulate inequalities that witness Einstein-Podolsky-Rosen (EPR)-steering correlations in diverse quantum systems. We then use these inequalities to formulate symmetric EPR-steering inequalities using the mutual information. We explore the differing natures of the correlations captured by one-way and symmetric steering inequalities and examine the possibility of exclusive one-way steerability in two-qubit states. Furthermore, we show that steering inequalities can be extended to generalized positive operator-valued measures, and we also derive hybrid steering inequalities between alternate degrees of freedom.
Moral considerations concerning income inequality
Directory of Open Access Journals (Sweden)
Jurjen P. de Vries
2015-03-01
Full Text Available The income inequality evident today has reached ethically unwarranted levels. In the Old and New Testament the Bible teaches us that disparity in wealth ought to meet the norms of justice and equity. Differences in income must be proportional to differences in the workers’performance and the responsibilities they assume. Employers and trade unions have the duty to ensure that these boundaries are respected. The government’s obligation is to take measures against the abuse of power monopolies, but it does not have to pursue income equality as such. Finally, where greed still rules society, Christians have the task to model a different life.In die hedendaagse samelewing kan aansienlike inkomsteverskille nie eties verantwoordword nie. In sowel die Ou as Nuwe Testament leer die Bybel ons dat verskille in inkomste aan die norm van regverdigheid en billikheid moet voldoen. Inkomsteverskille moet in ’n sinvolle verhouding tot die verskil in prestasie en verantwoordelikheid staan. Werkgewers en vakbonde moet in hierdie opsig die nodige grense in stand hou. Die owerheid kan maatreëls instel teen die wanpraktyke van magsmonopolieë, maar nie teen inkomste-ongelykhede as sulks nie. Wanneer hebsug die botoon in ’n samelewing voer, is dit die taak van Christene om’n eie lewenstyl te handhaaf.In de hedendaagse maatschappij zijn de inkomensverschillen groter dan ethisch verantwoord is. Het Oude en Nieuwe Testament van de Bijbel leren dat financiële verhoudingen moeten voldoen aan de normen van rechtvaardigheid en billijkheid. Inkomensverschillen moeten in redelijke verhouding staan tot het verschil in prestatie en verantwoordelijkheid. Werkgevers en vakorganisaties moeten hier de verantwoorde grenzen bewaken. De overheid neemt maatregelen tegen misbruik van machtsmonopolies ten eigen bate, maar voor haar is nivellering niet een doel op zich. En als in de maatschappij de hebzucht nog de boventoon voert, is het de taak van christenen hier een eigen
Bell inequalities for quantum optical fields
Żukowski, Marek; Wieśniak, Marcin; Laskowski, Wiesław
2016-08-01
The commonly used "practical" Bell inequalities for quantum optical fields, which use intensities as the observables, are derivable only if specific additional assumptions hold. This limits the range of local hidden variable theories, which are invalidated by their violation. We present alternative Bell inequalities, which do not suffer from any (theoretical) loophole. The inequalities are for correlations of averaged products of local rates. By rates we mean ratios of the measured intensity in the given local output channel to the total local measured intensity, in the given run of the experiment. Bell inequalities of this type detect entanglement in situations in which the "practical" ones fail. Thus, we have full consistency with Bell's theorem, and better device-independent entanglement indicators. Strongly driven type-II parametric down conversion (bright squeezed vacuum) is our working example. The approach can be used to modify many types of standard Bell inequalities, to the case of undefined particle numbers. The rule is to replace the usual probabilities by rates.
Lightning fast and space efficient inequality joins
Khayyat, Zuhair
2015-09-01
Inequality joins, which join relational tables on inequality conditions, are used in various applications. While there have been a wide range of optimization methods for joins in database systems, from algorithms such as sort-merge join and band join, to various indices such as B+-tree, R*-tree and Bitmap, inequality joins have received little attention and queries containing such joins are usually very slow. In this paper, we introduce fast inequality join algorithms. We put columns to be joined in sorted arrays and we use permutation arrays to encode positions of tuples in one sorted array w.r.t. the other sorted array. In contrast to sort-merge join, we use space efficient bit-arrays that enable optimizations, such as Bloom filter indices, for fast computation of the join results. We have implemented a centralized version of these algorithms on top of PostgreSQL, and a distributed version on top of Spark SQL. We have compared against well known optimization techniques for inequality joins and show that our solution is more scalable and several orders of magnitude faster.
Lightning Fast and Space Efficient Inequality Joins
Khayyat, Zuhair
2015-09-01
Inequality joins, which join relational tables on inequality conditions, are used in various applications. While there have been a wide range of optimization methods for joins in database systems, from algorithms such as sort-merge join and band join, to various indices such as B+-tree,R*-tree and Bitmap, inequality joins have received little attention and queries containing such joins are usually very slow. In this paper, we introduce fast inequality join algorithms. We put columns to be joined in sorted arrays and we use permutation arrays to encode positions of tuples in one sorted array w.r.t. the other sorted array. In contrast to sort-merge join, we use space effcient bit-arrays that enable optimizations, such as Bloom filter indices, for fast computation of the join results. We have implemented a centralized version of these algorithms on top of PostgreSQL, and a distributed version on top of Spark SQL. We have compared against well known optimization techniques for inequality joins and show that our solution is more scalable and several orders of magnitude faster.
To what extent does immigration affect inequality?
Berman, Yonatan; Aste, Tomaso
2016-11-01
The current surge in income and wealth inequality in most western countries, along with the continuous immigration to those countries demand a quantitative analysis of the effect immigration has on economic inequality. This paper presents a quantitative analysis framework providing a way to calculate this effect. It shows that in most cases, the effect of immigration on wealth and income inequality is limited, mainly due to the relative small scale of immigration waves. For a large scale flow of immigrants, such as the immigration to the US, the UK and Australia in the past few decades, we estimate that 10 % ÷ 15 % of the wealth and income inequality increase can be attributed to immigration. The results demonstrate that immigration could possibly decrease inequality substantially, if the characteristics of the immigrants resemble the characteristics of the destination middle class population in terms of wealth or income. We empirically found that the simple linear relation ΔS = 0.18 ρ roughly describes the increase in the wealth share of the top 10 % due to immigration of a fraction ρ of the population.
Oshio, Takashi; Kobayashi, Miki
2009-08-01
In this study we conduct a multilevel analysis to investigate the association between regional income inequality and self-rated health in Japan, based on two nationwide surveys. We confirm that there is a significant association between area-level income inequality and individual-level health assessment. We also find that health assessment tends to be more sensitive to income inequality among lower income individuals, and to degree of area-level poverty, than income inequality for the society as a whole. In addition, we examine how individuals are averse to inequality, based on the observed association between inequality and self-rated health.
Inequalities in Risks and Outcomes in a Health Transitioning Country
Directory of Open Access Journals (Sweden)
Vasoontara Yiengprugsawan
2013-09-01
Full Text Available This article reviews inequalities in health risks and outcomes based on a large longitudinal cohort study of distance-learning adult students enrolled at Sukhothai Thammathirat Open University (n = 87,134. The study began in 2005 and the first follow-up was completed in 2009. Risks analyzed for health inequalities were divided into demographic, socioeconomic, geographical, behavioral, and environmental groups. Unequal risks and outcomes identified that would be amenable to policy interventions in transitional Thailand include the following: heat stress—contributing to many adverse outcomes, including occupational injury, psychological distress, and kidney disease; urbanization—unhealthy eating, sedentary lifestyles, low social capital, and poor mental health; obesity—increasingly common especially with rising income and age among men; and injury—big problem for young males and associated with excessive alcohol and dangerous transport. These substantial inequalities require attention from multisectoral policy makers to reduce the gaps and improve health of the Thai population.
6th International Conference on General Inequalities
1992-01-01
The sixthInternational Conference on General Inequalities was held from Dec. 9 to Dec. 15, 1990, at the Mathematisches Forschungsinstitut Oberwolfach (Black Fa rest, Germany). The organizing committee was composed of W.N. Everitt (Birm ingham), L. Losonczi (Debrecen) and W. Walter (Karlsruhe). Dr. A. Kovacec ( Coimbra) served cheerfully and efficiently as secretary of the meeting. The con ference was attended by 44 participants from 20 countries. Yet again the importance of inequalities in both pure and applied mathematics was made evident from the wide range of interests of the individual participants, and from the wealth of new results announced. New inequalities were presented in the usual spread of the subject areas now expected for these meetings: Classical and functional analysis, existence and boundary value problems for both ordinary and partial differential equations, with special contributions to computer science, quantum holography and error analysis. More strongly than ever, the role played ...
INTERPOLATION INEQUALITIES AND DECAY ESTIMATES FOR DERIVATIVES
Institute of Scientific and Technical Information of China (English)
Lu Xuguang
2000-01-01
Under the only assumption of the cone property for a given domain Ω∈Rn, it is proved that interpolation inequalities for intermediate derivatives of functions in the Sobolev spaces Wm,p (Ω) or even in some weighted Sobolve spaces Wwm,p (Ω) still hold. That is, the usual additional restrictions that Ω is bounded or has the uni form cone property are both removed. The main tools used are polynomial inequalities, by which it is also ob tained pointwise version interpolation inequalities for smooth and analytic functions. Such pointwise version in equalities give explicit decay estimates for derivatives at infinity in unbounded domains which have the cone property. As an application of the decay estimates, a previous result on radial basis function approximation of smooth functions is extended to the derivative-simultaneous approximation.
Health, inequality and the politics of genes.
Whittle, Patrick M
2010-08-13
Research into the possible genetic basis of health inequalities between different ethnic or racial groups raises many scientific, ethical and political concerns. Proponents of such research point to the possible benefits for marginalised groups of understanding genetic influences on health outcomes; opponents indicate the potential social costs, citing historical use of Darwinian concepts to explain and justify inequalities between different peoples. Many health researchers may avoid the subject due to its potential for controversy--e.g. the recent media furore over the so-called 'warrior gene', and its apparent genetic explanations for negative health and social statistics among Maori. This article argues for a more nuanced account of the evolutionary history of marginalised groups such as Maori, one that accepts the possibility of relevant genetic differences between sub-populations, but which also acknowledges genuine ethical and political concerns. Such an account may assist health researchers in addressing the politically sensitive subject of 'race' and social inequality.
Present status of the Penrose inequality
Energy Technology Data Exchange (ETDEWEB)
Mars, Marc [Facultad de Ciencias, Universidad de Salamanca, Plaza de la Merced s/n, 37008 Salamanca (Spain)
2009-10-07
The Penrose inequality gives a lower bound for the total mass of a spacetime in terms of the area of suitable surfaces that represent black holes. Its validity is supported by the cosmic censorship conjecture, and therefore its proof (or disproof) is an important problem in relation with gravitational collapse. The Penrose inequality is a very challenging problem in mathematical relativity and it has received continuous attention since its formulation by Penrose in the early seventies. Important breakthroughs have been made in the last decade or so, with the complete resolution of the so-called Riemannian Penrose inequality and a very interesting proposal to address the general case by Bray and Khuri. In this review, the most important results on this field will be discussed and the main ideas behind their proofs will be summarized, with the aim of presenting what is the status of our present knowledge in this topic. (topical review)
Asymptotic Markov inequality on Jordan arcs
Totik, V.
2017-03-01
Markov's inequality for the derivative of algebraic polynomials is considered on C^2-smooth Jordan arcs. The asymptotically best estimate is given for the kth derivative for all k=1,2,\\dots . The best constant is related to the behaviour around the endpoints of the arc of the normal derivative of the Green's function of the complementary domain. The result is deduced from the asymptotically sharp Bernstein inequality for the kth derivative at inner points of a Jordan arc, which is derived from a recent result of Kalmykov and Nagy on the Bernstein inequality on analytic arcs. In the course of the proof we shall also need to reduce the analyticity condition in this last result to C^2-smoothness. Bibliography: 21 titles.
Leggett-Garg Inequalities for Squeezed States
Martin, Jerome
2016-01-01
Temporal Bell inequalities, or Leggett-Garg Inequalities (LGI), are studied for continuous-variable systems placed in a squeezed state. The importance of those systems lies in their broad applicability which allows the description of many different physical settings in various branches of physics, ranging from cosmology to condensed matter physics and from optics to quantum information theory. LGI violations are explored and systematically mapped in squeezing parameter space. Configurations for which LGI violation occurs are found but it is shown that no violation can be obtained if all squeezing angles vanish, contrary to what happens for the spatial Bell inequalities. We also assess the effect of decoherence on the detectability of such violations. Our study opens up the possibility of new experimental designs for the observation of LGI violation.
Inequity aversion and the evolution of cooperation
Ahmed, Asrar; Karlapalem, Kamalakar
2014-02-01
Evolution of cooperation is a widely studied problem in biology, social science, economics, and artificial intelligence. Most of the existing approaches that explain cooperation rely on some notion of direct or indirect reciprocity. These reciprocity based models assume agents recognize their partner and know their previous interactions, which requires advanced cognitive abilities. In this paper we are interested in developing a model that produces cooperation without requiring any explicit memory of previous game plays. Our model is based on the notion of inequity aversion, a concept introduced within behavioral economics, whereby individuals care about payoff equality in outcomes. Here we explore the effect of using income inequality to guide partner selection and interaction. We study our model by considering both the well-mixed and the spatially structured population and present the conditions under which cooperation becomes dominant. Our results support the hypothesis that inequity aversion promotes cooperative relationship among nonkin.
Beyond lognormal inequality: The Lorenz Flow Structure
Eliazar, Iddo
2016-11-01
Observed from a socioeconomic perspective, the intrinsic inequality of the lognormal law happens to manifest a flow generated by an underlying ordinary differential equation. In this paper we extend this feature of the lognormal law to a general "Lorenz Flow Structure" of Lorenz curves-objects that quantify socioeconomic inequality. The Lorenz Flow Structure establishes a general framework of size distributions that span continuous spectra of socioeconomic states ranging from the pure-communism extreme to the absolute-monarchy extreme. This study introduces and explores the Lorenz Flow Structure, analyzes its statistical properties and its inequality properties, unveils the unique role of the lognormal law within this general structure, and presents various examples of this general structure. Beyond the lognormal law, the examples include the inverse-Pareto and Pareto laws-which often govern the tails of composite size distributions.
Geometric inequalities in spherically symmetric spacetimes
Csukás, Károly Zoltán
2016-01-01
ADM mass is usually preferred against using quasi-local notions of mass in deriving geometric inequalities. We are interested in testing if usage of quasi-local mass provide any benefits. In spherical symmetry there is a highly accepted notion: the Misner-Sharp mass. It is closely related to the energy contained within a 2-surface and its null-expansions, which are used to determine if a surface is trapped. We use it to investigate inequalities between black hole's, Cauchy surface's and normal body's measurable parameters. There are investigations involving quasi-local charge and area. Our aim is to involv quasi-local mass too. This method support wide range of known inequalities and provide some new ones involving mass.
Inequality and Sovereign Default under Democracy
Directory of Open Access Journals (Sweden)
Yong Kyun Kim
2013-05-01
Full Text Available Do differences in the inequality of income affect the likelihood that democratic governments decide not to honor their foreign debt contracts? I argue that sovereign default involves an intertemporal tradeoff between an immediate consumption boost and a future tax increase. Since a poorer voter internalizes less of the future cost of default, as the median is poorer, the majority’s demand for default increases. Therefore, greater income inequality implies a higher default risk. I then present a signaling game that models strategic selection that a sovereign must go through to get to the default decision node. I show that sovereign default is most likely to actually occur when the level of income inequality is intermediate. The intuition is that sovereign default occurs when risky sovereigns successfully induce creditors to provide a loan, but the most risky ones are among those least able to do so. Empirical findings support the claim.
Bayesian evaluation of inequality constrained hypotheses.
Gu, Xin; Mulder, Joris; Deković, Maja; Hoijtink, Herbert
2014-12-01
Bayesian evaluation of inequality constrained hypotheses enables researchers to investigate their expectations with respect to the structure among model parameters. This article proposes an approximate Bayes procedure that can be used for the selection of the best of a set of inequality constrained hypotheses based on the Bayes factor in a very general class of statistical models. The software package BIG is provided such that psychologists can use the approach proposed for the analysis of their own data. To illustrate the approximate Bayes procedure and the use of BIG, we evaluate inequality constrained hypotheses in a path model and a logistic regression model. Two simulation studies on the performance of our approximate Bayes procedure show that it results in accurate Bayes factors. PsycINFO Database Record (c) 2014 APA, all rights reserved
Neural responses to advantageous and disadvantageous inequity
Directory of Open Access Journals (Sweden)
Klaus eFliessbach
2012-06-01
Full Text Available In this paper we study neural responses to inequitable distributions of rewards despite equal performance. We specifically focus on differences between advantageous (AI and disadvantageous inequity (DI. AI and DI were realized in a hyperscanning fMRI experiment with pairs of subjects simultaneously performing a task in adjacent scanners and observing both subjects' rewards. Results showed i hypoactivation of the ventral striatum under DI but not under AI; ii inequity induced activation of medial and dorsolateral prefrontal regions, that were stronger under DI than AI; iii correlations between subjective evaluations of DI and amygdala activity, and between AI evaluation and right ventrolateral prefrontal activity. Our study provides neurophysiological evidence for different cognitive processes that occur when exposed to DI and AI, respectively. Our data is compatible with the assumption that any form of inequity represents a norm violation, but that important differences between AI and DI emerge from an asymmetric involvement of status concerns.
Income inequality and the business cycle
Directory of Open Access Journals (Sweden)
Shahee Mostafa
2015-01-01
Full Text Available This paper first examines the relationship between ordinary least squares estimators of consumption and investment for 36 selected countries with their respective Gini indices. The analysis shows that income inequality is consistent with a smaller estimator of consumption and a greater estimator of investment. Second, the cycles of GDP, consumption and investment are dated separately to determine how the deepness and duration of cycles of those variables are correlated with the Gini indices of countries. The results show that income inequality leads to a deeper and longer decline of GDP, which causes a greater cumulative income loss of GDP during recession, and a somewhat faster speed of recovery during expansion. Likewise, the result of a correlation between Gini indices and the number of cycles in consumption, investment and GDP indicate that income inequality is associated with a greater number of cycles in consumption and GDP and a lower number of cycles in investment.
Cultural capital and social inequality in health.
Abel, T
2008-07-01
Economic and social resources are known to contribute to the unequal distribution of health outcomes. Culture-related factors such as normative beliefs, knowledge and behaviours have also been shown to be associated with health status. The role and function of cultural resources in the unequal distribution of health is addressed. Drawing on the work of French Sociologist Pierre Bourdieu, the concept of cultural capital for its contribution to the current understanding of social inequalities in health is explored. It is suggested that class related cultural resources interact with economic and social capital in the social structuring of people's health chances and choices. It is concluded that cultural capital is a key element in the behavioural transformation of social inequality into health inequality. New directions for empirical research on the interplay between economic, social and cultural capital are outlined.
Macro policy reform, labour market, poverty and inequality in urban ...
African Journals Online (AJOL)
Macro policy reform, labour market, poverty and inequality in urban Ethiopia: a Micro-simulation approach. ... why incomes and inequality largely remained stable at a time of fundamental changes in macroeconomic policy environment.
Weak monotonicity inequality and partial regularity for harmonic maps
Institute of Scientific and Technical Information of China (English)
沈尧天; 严树森
1999-01-01
The notion of locally weak monotonicity inequality for weakly harmonic maps is introduced and various results on this class of maps are obtained. For example, the locally weak monotonicity inequality is nearly equivalent to the ε-regularity.
Health Inequality in South Africa: A Systematic Review
African Journals Online (AJOL)
2012-09-03
Sep 3, 2012 ... inequalities, race, health in South Africa, health systems, .... gaps could be used oshape further research on health inequalities in .... 15 See : Statistics South Africa : July 2015, South Africa Average Monthly Gross Wage.
The Canonical Expanding Soliton and Harnack inequalities for Ricci flow
Cabezas-Rivas, Esther
2009-01-01
We introduce the notion of Canonical Expanding Ricci Soliton, and use it to derive new Harnack inequalities for Ricci flow. This viewpoint also gives geometric insight into the existing Harnack inequalities of Hamilton and Brendle.
THE MINIMAL OPERATOR AND WEIGHTED INEQUALITIES FOR MARTINGALES
Institute of Scientific and Technical Information of China (English)
无
2006-01-01
In this article the authors introduce the minimal operator on martingale spaces, discuss some one-weight and two-weight inequalities for the minimal operator and characterize the conditions which make the inequalities hold.
Ideology and intergroup inequality : Emerging directions and trends
Kay, Aaron; Brandt, M.J.
2016-01-01
The authors propose that two guiding frameworks characterize psychological research on the relation between ideology and inequality. The first, called the product approach, focuses on ideologies directly concerned with intergroup relations, in which beliefs about inequality can be considered a
Weighted hardy type integral inequalities involving many functions
Directory of Open Access Journals (Sweden)
Sabir Hussain
2012-06-01
Full Text Available The object of this paper is to derive some new weighted Hardy type integral inequalities involving many functions and to obtain a classical weighted Hardy type inequality involving many functions.
Institute of Scientific and Technical Information of China (English)
GAN Shixin; QIU Dehua
2007-01-01
In this paper we give an elementary and unified proof of the Hàjek-Rènyi inequality, and get a general version of this inequality which not only covers the all known results but also derives some new results.
Determinants of Inequality in Cameroon: A Regression-Based ...
African Journals Online (AJOL)
2008-07-22
Jul 22, 2008 ... This paper applies the regression-based inequality decomposition approach to explore ..... health (WHO Regional Office for Europe's Health Evidence Network, 2005; ..... “Explaining Inter-Household Gender Inequality in.
On an Inequality Concerning the Polar Derivative of a Polynomial
Indian Academy of Sciences (India)
A Aziz; N A Rather
2007-08-01
In this paper, we present a correct proof of an -inequality concerning the polar derivative of a polynomial with restricted zeros. We also extend Zygmund’s inequality to the polar derivative of a polynomial.
Two new definitions on convexity and related inequalities
Tunc, Mevlut
2012-01-01
We have made some new definitions using the inequalities of Young' and Nesbitt'. And we have given some features of these new definitions. After, we established new Hadamard type inequalities for convex functions in the Young and Nesbitt sense.
Computer aided discovery of families of valid inequalities
DEFF Research Database (Denmark)
Røpke, Stefan; Cordeau, Jean-Francois; Laporte, Gilbert
We present a computer program that helps the user discovering new families of valid inequalities for any integer program. It does so by finding simple valid inequalities that are violated by a fractional solution supplied by the user. It is up to the user to generalize these inequalities further........ We present new families of inequalities for the capacitated vehicle routing problem and the traveling salesman problem with pickup and deliveries found using the program....
Inequalities of extended beta and extended hypergeometric functions.
Mondal, Saiful R
2017-01-01
We study the log-convexity of the extended beta functions. As a consequence, we establish Turán-type inequalities. The monotonicity, log-convexity, log-concavity of extended hypergeometric functions are deduced by using the inequalities on extended beta functions. The particular cases of those results also give the Turán-type inequalities for extended confluent and extended Gaussian hypergeometric functions. Some reverses of Turán-type inequalities are also derived.
Regional Inequalities in Contemporary China Measured by GDP and Consumption
Z Zhang; Yao, S.
2001-01-01
This paper presents a comprehensive picture of China?s regional inequality from 1952 to 1999 using newly released data on consumption and gross domestic product (GDP) at the provincial level. Although there are many studies on regional inequality in China, this paper is the first attempt to evaluate regional inequalities before and after the economic reforms for a time span of almost half a century. Our results show that inter-regional inequality widens over time, either measured by per capit...
Income inequality and economic growth-the Kuznets curve revisited
Institute of Scientific and Technical Information of China (English)
YIN Heng; GONG Liutang; ZOU Heng-fu
2006-01-01
In a neoclassical growth framework with a typical political-economy mechanism,this paper reexamines the relationship between the income inequality and economic growth by introducing government spending into the production function and the utility function.It demonstrates that Kuznets' famous inverted-U shape relationship between inequality and economic growth will hold-the growth rate will be first increasing with the income inequality before the growth rate decreases with inequality.
Institute of Scientific and Technical Information of China (English)
Abdullah Mir; Bilal Dar; Sajad Amin Baba
2013-01-01
We consider for a fixed µ, the class of polynomials Pn,µ,s:=nP(z)=zs·anzn-s+n-s∑j=µ an-jzn-j-s·;1≤µ≤n-so of degree n, having all zeros in|z|≤k, k≤1, with s-fold zeros at the origin. In this paper, we have obtained inequalities in the reverse direction for the above class of polynomi-als. Besides, extensions of some Turan-type inequalities for the polar derivative of polynomials have been considered.
Food and Health Inequalities in European Union
DEFF Research Database (Denmark)
Robertson, Aileen
2016-01-01
Food and Inequalities in European Union Dr. Aileen Robertson, Public Health Nutritionist at the Metropolitan University College, Copenhagen. Dr. Robertson focused on food and inequality in light of the increased prevalence of overweight and obesity in Europe. On average over 50% of Europeans...... to reduce the amount of cheap energy from sugars and saturated fats available in the European diet. Also, Europe-wide legislation is needed both to restrict the marketing of unhealthy foods to children and to label the “country of origin” of sustainable products....
Why rise income inequalities. An structural aproach
Directory of Open Access Journals (Sweden)
Lecturer Ph.D. Răzvan Mihail Papuc
2008-05-01
Full Text Available The present paper aims to analyze some of the reasons why inequalities increase in theincome allocation in modern developed societies. The conceptual framework used herein in order to understandthe reasons for inequality raising is represented by the theoretical model known as power re(sourcestheory, providing a basis for coherently understanding the current dissolution of the economic, politicaland blue collars negotiation power in developed economies, and in the same time for understanding an entiremiddle class in such societies, the main income of which consists in salaries.
A Penrose-Like Inequality with Charge
Khuri, Marcus A
2013-01-01
We establish a Penrose-like inequality for general (not necessarily time-symmetric) initial data sets of the Einstein-Maxwell equations, which satisfy the dominant energy condition. More precisely, it is shown that the ADM energy is bounded below by an expression which is proportional to the sum of the square root of the area of the outermost future (or past) apparent horizon and the square of the total charge. The proportionality constants depend on the solution to a linear elliptic equation which incorporates the charge. In addition, a corrected version of the Penrose-like inequality in [14] is presented.
A Penrose-like inequality with charge
Khuri, Marcus A.
2013-11-01
We establish a Penrose-like inequality for general (not necessarily time-symmetric) initial data sets of the Einstein-Maxwell equations, which satisfy the dominant energy condition. More precisely, it is shown that the ADM energy is bounded below by an expression which is proportional to the sum of the square root of the area of the outermost future (or past) apparent horizon and the square of the total charge. The proportionality constants depend on the solution to a linear elliptic equation which incorporates the charge. In addition, a corrected version of the Penrose-like inequality (Commun Math Phys 290(2):779-788, 2009) is presented.
"Globalization and Inequality Past and Present"
Williamson, Jeffrey G.
1996-01-01
The late 19th and the late 20th century shared more than simply globalization and convergence. Globalization also seems to have had the same impact on income distribution: in the late 19th century, inequality rose in rich countries and fell in poor countries; according to Adrian Wood, the same has been true of the late 20th century. Furthermore, while George Borjas and Wood think that globalization accounted for something like a third to a half of the rise in inequality in America and other O...
On common solutions of Riccati inequalities
Institute of Scientific and Technical Information of China (English)
无
2011-01-01
This paper extends the previous work on common positive definite solutions (CPDSs) to planar algebraic Riccati inequalities (ARIs) to those with arbitrary dimensions.The topological structure of the set of all positive definite solutions of an ARI is investigated.This leads to a necessary and sufficient condition for the existence of CPDSs to a set of Riccati inequalities.It also reveals that the solution set of ARIs is a positive cube in Rn,which arouses a new method to search the CPDS.Some examples of thr...
Uncertainty, non-locality and Bell's inequality
Pati, A K
1998-01-01
We derive a Bell-like inequality involving all correlations in local observables with uncertainty free states and show that the inequality is violated in quantum mechanics for EPR and GHZ states. If the uncertainties are allowed in local observables then the statistical predictions of hidden variable theory is well respected in quantum world. We argue that the uncertainties play a key role in understanding the non-locality issues in quantum world. Thus we can not rule out the possibility that a local, realistic hidden variable theory with statistical uncertainties in the observables might reproduce all the results of quantum theory.
Maximal Inequalities for Dependent Random Variables
DEFF Research Database (Denmark)
Hoffmann-Jorgensen, Jorgen
2016-01-01
Maximal inequalities play a crucial role in many probabilistic limit theorem; for instance, the law of large numbers, the law of the iterated logarithm, the martingale limit theorem and the central limit theorem. Let X-1, X-2,... be random variables with partial sums S-k = X-1 + ... + X-k. Then a......Maximal inequalities play a crucial role in many probabilistic limit theorem; for instance, the law of large numbers, the law of the iterated logarithm, the martingale limit theorem and the central limit theorem. Let X-1, X-2,... be random variables with partial sums S-k = X-1 + ... + X...
A Holographic Dual of the Quantum Inequalities
Levine, Adam R
2016-01-01
In this note, we establish the 2-D Quantum Inequalities - first proved by Flanagan - for all CFTs with a causal holographic dual. Following the treatment of Kelly \\& Wall, we establish that the Boundary Causality Condition in an asymptotic AdS spacetime implies the Quantum Inequalities on the boundary. Our results extend easily to curved spacetime and are stable under deformations of the CFT by relevant operators. We discuss higher dimensional generalizations and possible connections to recent bounds on $a/c$ in 4-D CFTs.
Reduction of Social Inequality in High School
DEFF Research Database (Denmark)
Jensen, Ulla Højmark
2014-01-01
This article explores structures in the learning environment at the classroom level that can contribute to reduction of social inequality in education. It draws on qualitative observation studies of Latino’s in high schools in New York City, USA, by a Danish researcher. The purpose of this article...... is to explore ‘good examples’ from an outsider’s perspective and there by create an empirical and theoretical focus on how school characteristics and structures cross boarders are connected to the reduction of social inequality in education....
Does income inequality have lasting effects on health and trust?
J.J. Rözer; B. Volker
2016-01-01
According to the income inequality hypothesis, income inequality is associated with poorer health. One important proposed mechanism for this effect is reduced trust. In this study, we argue that income inequality during a person's formative years (i.e., around age 16) may have lasting consequences f
Height inequality of algebraic points on curves over functional fields
Tan, S L
1995-01-01
The purpose of this paper is to give a linear and effective height inequality for algebraic points on curves over functional fields. Our height inequality can be viewed as the logarithmic canonical class inequality of a punctured curve over a functional field (a fibered surface minus a section). This paper will appear in J. reine angew. Math.
Socioeconomic inequalities in health in 22 European countries
DEFF Research Database (Denmark)
Mackenbach, Johan P; Stirbu, Irina; Roskam, Albert-Jan R;
2008-01-01
intervention. The magnitude of inequalities in self-assessed health also varied substantially among countries, but in a different pattern. CONCLUSIONS: We observed variation across Europe in the magnitude of inequalities in health associated with socioeconomic status. These inequalities might be reduced...... by improving educational opportunities, income distribution, health-related behavior, or access to health care....
Measures of Inequality: Application to Happiness in Nations
W.M. Kalmijn (Wim); L.R. Arends (Lidia)
2010-01-01
textabstractWhat is a good measure for happiness inequality? In the context of this question, we have developed an approach in which individual happiness values in a sample are considered as elements of a set and inequality as a binary relation on that set. The total number of inequality relations,
Penrose inequality for asymptotically AdS spaces
Energy Technology Data Exchange (ETDEWEB)
Itkin, Igor [Raymond and Beverly Sackler School of Physics and Astronomy, Tel-Aviv University, Tel-Aviv 69978 (Israel); Oz, Yaron, E-mail: yaronoz@post.tau.ac.il [Raymond and Beverly Sackler School of Physics and Astronomy, Tel-Aviv University, Tel-Aviv 69978 (Israel)
2012-02-28
In general relativity, the Penrose inequality relates the mass and the entropy associated with a gravitational background. If the inequality is violated by an initial Cauchy data, it suggests a creation of a naked singularity, thus providing means to consider the cosmic censorship hypothesis. We propose a general form of Penrose inequality for asymptotically locally AdS spaces.
How Culture Affects Female Inequality across Countries: An Empirical Study
Cheung, Hoi Yan; Chan, Alex W. H.
2007-01-01
Many studies have commented that culture has an influence on gender inequality. However, few studies have provided data that could be used to investigate how culture actually influences female inequality. One of the aims of this study is to investigate whether Hofstede's cultural dimensions have an impact on female inequality in education in terms…
Educational inequalities and success in Asian countries in PISA 2009
Directory of Open Access Journals (Sweden)
Alba Castejón Company
2011-09-01
Full Text Available This article discusses the results of PISA 2009 from seven Asian countries. The analysis focuses on three hubs of educational inequality: academic inequalities, inequalities by gender and social in- equalities. The main conclusion drawn from the results of this work is that is not possible to affirm that Asian education systems constitute a homogeneous educational model.
Weighted (C)eby(s)ev-Ostrowski type inequalities
Institute of Scientific and Technical Information of China (English)
Arif Rafiq; Nazir Ahmad Mir; Farooq Ahmad
2007-01-01
In account of the famous (C)eby(s)ev inequality, a rich theory has appeared in the literature. We establish some new weighted (C)eby(s)ev type integral inequalities. Our proofs are of independent interest and provide new estimates on these types of inequalities.
Poverty and inequality in Ethiopia: 1995/96-2004/05
Woldehanna, T.; Hoddinott, J.; Dercon, S.
2008-01-01
This paper explores trends in poverty and inequality, and the role of growth, inequality and sectoral changes in the evolution of poverty in Ethiopia between 1996 and 2005. We find that while poverty remains widespread, it declined markedly over this period. However, while inequality remained unchan
Reverse Triangle Inequalities for Riesz Potentials and Connections with Polarization
Pritsker, I. E.; Saff, E. B.; Wise, W.
2013-01-01
We study reverse triangle inequalities for Riesz potentials and their connection with polarization. This work generalizes inequalities for sup norms of products of polynomials, and reverse triangle inequalities for logarithmic potentials. The main tool used in the proofs is the representation for a power of the farthest distance function as a Riesz potential of a unit Borel measure.
SOME INEQUALITIES ABOUT DUAL MIXED VOLUMES OF STAR BODIES
Institute of Scientific and Technical Information of China (English)
Li Xiaoyan; Leng Gangsong
2005-01-01
The authors establish some inequalities about the dual mixed volumes of star bodies in Rn. These inequalities are the analogue in the Brunn-Minkowski theory of the inequalities of Marcus-Lopes and Bergstrom about symmetric functions of positive reals.
Absolute Value Inequalities: High School Students' Solutions and Misconceptions
Almog, Nava; Ilany, Bat-Sheva
2012-01-01
Inequalities are one of the foundational subjects in high school math curricula, but there is a lack of academic research into how students learn certain types of inequalities. This article fills part of the research gap by presenting the findings of a study that examined high school students' methods of approaching absolute value inequalities,…
Some Geometric Inequalities Relating to an Interior Point in Triangle
Wu, Yu-Dong; Zhang, Zhi-Hua; Liang, Chun-Lei
2010-01-01
In this short note, by using one of Li and Liu's theorems [K.-H. Li, "The solution of CIQ. 39," "Commun. Stud. Inequal." 11(1) (2004), p. 162 (in Chinese)], "s-R-r" method, Cauchy's inequality and the theory of convex function, we solve some geometric inequalities conjectures relating to an interior point in triangle. (Contains 1 figure.)
Bell inequality and CP violation in the neutral kaon system
Bertlmann, Reinhold A; Hiesmayr, B C
2001-01-01
For the entangled neutral kaon system we formulate a Bell inequality sensitive to CP violation in mixing. Via this Bell inequality we obtain a bound on the leptonic CP asymmetry which is violated by experimental data. Furthermore, we connect the Bell inequality with a decoherence approach and find a lower bound on the decoherence parameter which practically corresponds to Furry's hypothesis.
Education's Effect on Income Inequality: An Economic Globalisation Perspective
Wells, Ryan
2006-01-01
Utilising a globalisation framework this study contributes to discussions concerning inequality, education, and development by re-examining the effects of educational and economic variables on income inequality. This research shows that the effects of education on income inequality are affected by the level of economic freedom in a country, and…
Does income inequality have lasting effects on health and trust?
Rözer, J.J.; Volker, B.
2016-01-01
According to the income inequality hypothesis, income inequality is associated with poorer health. One important proposed mechanism for this effect is reduced trust. In this study, we argue that income inequality during a person's formative years (i.e., around age 16) may have lasting consequences f
Generalized noncommutative Hardy and Hardy-Hilbert type inequalities
DEFF Research Database (Denmark)
Hansen, Frank; Krulic, Kristina; Pecaric, Josip
2010-01-01
We extend and unify several Hardy type inequalities to functions whose values are positive semi-definite operators. In particular, our methods lead to the operator versions of Hardy-Hilbert's and Godunova's inequalities. While classical Hardy type inequalities hold for parameter values p > 1...
Duro Moreno, Juan Antonio; Teixidó-Figueras, Jordi; Padilla, Emilio
2014-01-01
This paper uses the possibilities provided by the regression-based inequality decomposition (Fields, 2003) to explore the contribution of different explanatory factors to international inequality in CO2 emissions per capita. In contrast to previous emissions inequality decompositions, which were based on identity relationships (Duro and Padilla, 2006), this methodology does not impose any a priori specific relationship. Thus, it allows an assessment of the contribution to inequality of differ...
Institute of Scientific and Technical Information of China (English)
无
2001-01-01
This paper gives a Fan,s type minimax theorem, a nearst point theorem and two existence theorems of solutions for a kind of generalized quasi-variational inequalities in H-spaces without any linear structure.
de Lima, Levi Lopes
2012-01-01
We use the inverse mean curvature flow to prove a sharp Alexandrov-Fenchel-type inequality for star-shaped, strictly mean convex hypersurfaces in hyperbolic $n$-space, $n\\geq 3$. As an application, we establish an optimal Penrose inequality for asymptotically hyperbolic graphs carrying a minimal horizon, with the equality occurring if and only if the graph is an anti-de Sitter-Schwarzschild solution.
Directory of Open Access Journals (Sweden)
Muhammad Shoaib Saleem
2016-10-01
Full Text Available Abstract In this work we develop the square integral estimates for the functions of n variables which are subharmonic with respect to some variables and for other remaining variables are superharmonic. It is in a sense a generalization of reverse Poincaré type inequalities for the difference of superharmonic functions developed in (J. Inequal. Appl. 2015: doi:10.1186/s13660-015-0916-9 , 2015.
Hardy inequalities in strips on ruled surfaces
Directory of Open Access Journals (Sweden)
2006-01-01
Full Text Available We consider the Dirichlet Laplacian in infinite two-dimensional strips defined as uniform tubular neighbourhoods of curves on ruled surfaces. We show that the negative Gauss curvature of the ambient surface gives rise to a Hardy inequality and we use this to prove certain stability of spectrum in the case of asymptotically straight strips about mildly perturbed geodesics.
Ethnicity, Inequality, and Higher Education in Malaysia.
Selvaratnam, Viswanathan
1988-01-01
Traces the development since 1957 of Malaysian education policies aimed at providing equitable access to higher education. Suggests that these policies have increased representation of the Malay underclass in tertiary institutions and the professions, but have had little effect on intraethnic class inequalities. 46 references. (SV)
Crisis, Inequality and Consumption - a Dutch Perspective
Wahlen, S.
2016-01-01
Inequalities have been exacerbating in the Netherlands since the economic crisis hit ground in 2008, with poverty increasing substantially. The amount of the Dutch population living under the poverty line increased from 7,4 % in 2010 to 10,3 % in 2013. Different types of household are affected: sing
Building the Movement to End Educational Inequity
Kopp, Wendy
2008-01-01
Teach for America exists to address educational inequity--the stunning reality that the American nation, which aspires so admirably to be a land of equal opportunity, where one is born still largely determines one's educational outcomes. Despite plenty of evidence that children growing up in poverty can do well academically--when given the…
General polygamy inequality of multiparty quantum entanglement
Kim, Jeong San
2012-06-01
Using entanglement of assistance, we establish a general polygamy inequality of multiparty entanglement in arbitrary-dimensional quantum systems. For multiparty closed quantum systems, we relate our result with the monogamy of entanglement, and clarify that the entropy of entanglement bounds both monogamy and polygamy of multiparty quantum entanglement.
Colonial Continuities and Educational Inequalities in Indonesia.
Carpenter, Harold F., Jr.
This paper explores the effect of 350 years of Dutch colonial rule upon Indonesian educational policies and the resulting regional inequalities in education. It was Dutch policy not to educate most of the children from the poorer social classes, but to use education to maintain and strengthen the existing social structure. Education was also used…
Gender Inequality in Academia: Evidences from Nigeria
Ogbogu, Christiana O.
2011-01-01
Universities and other institutions of higher education in Nigeria see themselves as liberal and open-minded. They support social movements that encourage principles of democracy and social justice, yet their mode of governance is male dominated and patriarchal. This study, therefore, identified the causes of gender inequality in academia and the…
Gender Inequality in British and German Universities
Pritchard, Rosalind
2007-01-01
Gender inequality exists within higher education in the UK and Germany. In the UK only 15.3% of professors in pre-and post-1992 universities were women (2003), whilst in Germany only 8.6% attained the highest grade of professorship (2003). The research uses existing data sets combined with theoretical constructs to investigate the reasons for…
Gender Inequalities in the Transition to College
Buchmann, Claudia
2009-01-01
Background: In terms of high school graduation, college entry, and persistence to earning a college degree, young women now consistently outperform their male peers. Yet most research on gender inequalities in education continues to focus on aspects of education where women trail men, such as women's underrepresentation at top-tier institutions…
TRANSPORTATION INEQUALITIES FOR WEAKLY DEPENDENT SEQUENCES
Institute of Scientific and Technical Information of China (English)
Ma Yutao
2011-01-01
In[3],they gave necessary and sufficient condition for T1C and then as applications T1C for weakly dependent sequences was established.In this note,based on Gozlan-Léonard characterization for W1H-inequalities,we extends this result to W1Hinequalities.
Inequality, redistribution and growth : Theory and evidence
Haile, D.
2005-01-01
From a macro-perspective, the thesis provides a political economic model that analyses the joint determination of inequality, corruption, taxation, education and economic growth in a dynamic environment. It demonstrates how redistributive taxation is affected by the distribution of wealth and limite
Intergenerational talent transmission, inequality, and social mobility
Napel, Stefan; Schneider, Andrea
2006-01-01
The paper investigates the effects of intra-family talent transmission when human capital exhibits indivisibilities and parental financing of education involves borrowing constraints. Positive talent correlation reduces social mobility but steady state inequality and macroeconomic history-dependence are not affected.
SENSITIVITY ANALYSIS FOR PARAMETERIZED VARIATIONAL INEQUALITY PROBLEMS
Institute of Scientific and Technical Information of China (English)
Li Fei
2004-01-01
This paper presents sensitivity analysis for parameterized variational inequality problems (VIP). Under appropriate assumption, it is shown that the perturbed solution to parameterized VIP is existent, unique, continuous and differentiable with respect to perturbation parameter. In the case of differentiability, we derive the equations forcalculating the derivative of solution variables with respect to the perturbation parameters.
Quantum logarithmic Sobolev inequalities and rapid mixing
Energy Technology Data Exchange (ETDEWEB)
Kastoryano, Michael J. [Dahlem Center for Complex Quantum Systems, Freie Universitaet Berlin, 14195 Berlin (Germany); Temme, Kristan [Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
2013-05-15
A family of logarithmic Sobolev inequalities on finite dimensional quantum state spaces is introduced. The framework of non-commutative L{sub p}-spaces is reviewed and the relationship between quantum logarithmic Sobolev inequalities and the hypercontractivity of quantum semigroups is discussed. This relationship is central for the derivation of lower bounds for the logarithmic Sobolev (LS) constants. Essential results for the family of inequalities are proved, and we show an upper bound to the generalized LS constant in terms of the spectral gap of the generator of the semigroup. These inequalities provide a framework for the derivation of improved bounds on the convergence time of quantum dynamical semigroups, when the LS constant and the spectral gap are of the same order. Convergence bounds on finite dimensional state spaces are particularly relevant for the field of quantum information theory. We provide a number of examples, where improved bounds on the mixing time of several semigroups are obtained, including the depolarizing semigroup and quantum expanders.
Human Development, Inequality and Poverty: empirical findings
Suman Seth; Antonio Villar
2014-01-01
This paper provides a discussion on the empirical findings surrounding the design of human development, inequality and poverty measures. We focus on the United Nations Development Program approach to those issues, in particular regarding the human development index and the multidimensional poverty index.
On p-adic decomposable form inequalities
Liu, Junjiang
2015-01-01
The main concern of this thesis is the number of the solutions $N_F(m)$ of Decomposable form inequalities $F(x) \\leq m$. In 2001, Thunder proved a conjecture of W.M. Schmidt, stating that, under suitable finiteness conditions, one has $N_F(m) \\ll m^{n/d}$ where the implicit constant depends only on
Teaching Absolute Value Inequalities to Mature Students
Sierpinska, Anna; Bobos, Georgeana; Pruncut, Andreea
2011-01-01
This paper gives an account of a teaching experiment on absolute value inequalities, whose aim was to identify characteristics of an approach that would realize the potential of the topic to develop theoretical thinking in students enrolled in prerequisite mathematics courses at a large, urban North American university. The potential is…
Inertia theorems for operator Lyapunov inequalities
Sasane, AJ; Curtain, RF
2001-01-01
We study operator Lyapunov inequalities and equations for which the infinitesimal generator is not necessarily stable, but it satisfies the spectrum decomposition assumption and it has at most finitely many unstable eigenvalues. Moreover, the input or output operators are not necessarily bounded, bu
An Application of Sylvester's Rank Inequality
Kung, Sidney H.
2011-01-01
Using two well known criteria for the diagonalizability of a square matrix plus an extended form of Sylvester's Rank Inequality, the author presents a new condition for the diagonalization of a real matrix from which one can obtain the eigenvectors by simply multiplying some associated matrices without solving a linear system of simultaneous…
Rank-one LMIs and Lyapunov's inequality
Henrion, D.; Meinsma, Gjerrit
2001-01-01
We describe a new proof of the well-known Lyapunov's matrix inequality about the location of the eigenvalues of a matrix in some region of the complex plane. The proof makes use of standard facts from quadratic and semi-definite programming. Links are established between the Lyapunov matrix,
Inertia theorems for operator Lyapunov inequalities
Sasane, AJ; Curtain, RF
2001-01-01
We study operator Lyapunov inequalities and equations for which the infinitesimal generator is not necessarily stable, but it satisfies the spectrum decomposition assumption and it has at most finitely many unstable eigenvalues. Moreover, the input or output operators are not necessarily bounded,
Geometric inequalities in sub-Riemannian groups
Montefalcone, Francescopaolo
2012-01-01
Let G be a sub-Riemannian k-step Carnot group of homogeneous dimension Q. In this paper, we shall prove several geometric inequalities concerning smooth hypersurfaces (i.e. codimension one submanifolds) immersed in G, endowed with the H-perimeter measure.
An Optimal Double Inequality for Means
Directory of Open Access Journals (Sweden)
Qian Wei-Mao
2010-01-01
Full Text Available For , the generalized logarithmic mean , arithmetic mean and geometric mean of two positive numbers and are defined by , ; , , , ; , , ; , , ; and , respectively. In this paper, we give an answer to the open problem: for , what are the greatest value and the least value , such that the double inequality holds for all ?
Capital account liberalization and income inequality
Bumann, Silke; Lensink, Robert
2016-01-01
This article makes both a theoretical and an empirical contribution to the literature on financial liberalization and income inequality. In the first part, we develop a tractable model that features agents with varying investment abilities and a banking sector. There are two possible interventions t
Race, Inequality of Opportunity, and School Choice
Darby, Derrick; Saatcioglu, Argun
2015-01-01
Both neoliberals and liberals call for mitigating inequality of educational opportunity stemming from circumstances beyond an individual's control. In this article, we challenge the wisdom of making equality of opportunity hinge on emphasizing the distinction rather than the relationship between choices and circumstances. We utilize an empirical…
Capital account liberalization and income inequality
Bumann, Silke; Lensink, Bernardus
2016-01-01
This article makes both a theoretical and an empirical contribution to the literature on financial liberalization and income inequality. In the first part, we develop a tractable model that features agents with varying investment abilities and a banking sector. There are two possible interventions t
Friction and Inequality among Peacekeepers in Mali
DEFF Research Database (Denmark)
Cold-Ravnkilde, Signe Marie; Albrecht, Peter; Haugegaard, Rikke
2017-01-01
MINUSMA represents Europe’s return to peacekeeping, the largest troop contributors by a wide margin are African countries. Through exploring the task of securing mission convoys to the northern regions of the country, Signe Cold-Ravnkilde, Peter Albrecht and Rikke Haugegaard show how inequalities between...
Korn Inequalities for a Reinforced Plate
Nazarov, S.A.; Slutskij, A.S.; Sweers, G.H.
2012-01-01
Asymptotically optimal Korn inequalities are derived for a composite material that consists of two families of stiff rods surrounded by a homogeneous soft material. The composite plate is fixed through the protruding stiff rods only. The asymptotic behaviour is shown to be crucially different for fa
Testing inequality constrained hypotheses in SEM Models
Van de Schoot, R.; Hoijtink, H.J.A.; Dekovic, M.
2010-01-01
Researchers often have expectations that can be expressed in the form of inequality constraints among the parameters of a structural equation model. It is currently not possible to test these so-called informative hypotheses in structural equation modeling software. We offer a solution to this probl
Inequalities Theory of Majorization and Its Applications
Marshall, Albert W; Arnold, Barry
2011-01-01
This book’s first edition has been widely cited by researchers in diverse fields. The following are excerpts from reviews. “Inequalities: Theory of Majorization and its Applications” merits strong praise. It is innovative, coherent, well written and, most importantly, a pleasure to read. … This work is a valuable resource!” (Mathematical Reviews). “The authors … present an extremely rich collection of inequalities in a remarkably coherent and unified approach. The book is a major work on inequalities, rich in content and original in organization.” (Siam Review). “The appearance of … Inequalities in 1979 had a great impact on the mathematical sciences. By showing how a single concept unified a staggering amount of material from widely diverse disciplines–probability, geometry, statistics, operations research, etc.–this work was a revelation to those of us who had been trying to make sense of his own corner of this material.” (Linear Algebra and its Applications). This greatly expanded...
Evolving Polygons Revisited: Inequalities and Computer Graphing
Abramovich, Sergei; Brouwer, Peter
2009-01-01
This paper was developed with the goal of enhancing the mathematical preparation of secondary school teachers in the technological paradigm. It shows how two-variable inequalities can be utilized as models for the construction of geometric objects using the software Graphing Calculator 3.5 (produced by Pacific Tech) as a relation grapher. An…
Capital account liberalization and income inequality
Bumann, Silke; Lensink, Bernardus
This article makes both a theoretical and an empirical contribution to the literature on financial liberalization and income inequality. In the first part, we develop a tractable model that features agents with varying investment abilities and a banking sector. There are two possible interventions
Inequality and School Reform in Bahia, Brazil
Reiter, Bernd
2009-01-01
This article compares public and community schools in Salvador, the state capital of Bahia, Brazil. Based on quantitative data analysis and qualitative research conducted on-site during three research trips in 2001, 2003 and 2005, the author finds that Brazil's extreme inequality and the associated concentration of state power in a few hands stand…
The policy response to educational inequalities
Checchi, D.; van de Werfhorst, H.; Braga, M.; Meschi, E.; Salverda, W.; Nolan, B.; Checchi, D.; Marx, I.; McKnight, A.; Tóth, I.G.; van de Werfhorst, H.
2014-01-01
The chapter examines policies that may help combating educational inequalities in the competences achieved (i.e. quality of education). Using cross-sectional data the chapter demonstrates a correlation between institutional characteristics of educational systems and student achievement, including ea
Social justice, epidemiology and health inequalities.
Marmot, Michael
2017-08-03
A lifetime spent studying how social determinants of health lead to health inequalities has clarified many issues. First is that social stratification is an appropriate topic of study for epidemiologists. To ignore it would be to ignore a major source of variation in health in society. Not only is the social gradient in health appropriate to study but we have made progress both in understanding its causes and what can be done to address them. Post-modern 'critical theory' raises questions about the social construction of science. Given the attack on science by politicians of bad faith, it is important to recognise that epidemiology and public health have a crucial role to play in providing evidence to improve health of society and reduce inequalities. Evidence gives grounds for optimism that progress can be made both in improving the health of the worst-off in society and narrowing health inequalities. Theoretical debates about 'inequality of what' have been helpful in clarifying theories that drive further gathering of evidence. While it is important to consider alternative explanations of the social gradient in health-principal among them reverse causation-evidence strongly supports social causation. Social action is by its nature political. It is, though, a vital function to provide the evidence that underpins action.
Inequalities for noncentral chi-square distributions
Kallenberg, Wilbert C.M.
1990-01-01
An upper and lower bound are presented for the difference between the distribution functions of noncentral chi-square variables with the same degrees of freedom and different noncentralities. The inequalities are applied in a comparison of two approximations to the power of Pearson's chi-square test.
Disrupting Educational Inequalities through Youth Digital Activism
Stornaiuolo, Amy; Thomas, Ebony Elizabeth
2017-01-01
This article reviews scholarship on youth and young adult activism in digital spaces, as young users of participatory media sites are engaging in political, civic, social, or cultural action and advocacy online to create social change. The authors argue that youth's digital activism serves as a central mechanism to disrupt inequality, and that…