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.
International Nuclear Information System (INIS)
Balasubramaniam, P.; Kalpana, M.; Rakkiyappan, R.
2012-01-01
Fuzzy cellular neural networks (FCNNs) are special kinds of cellular neural networks (CNNs). Each cell in an FCNN contains fuzzy operating abilities. The entire network is governed by cellular computing laws. The design of FCNNs is based on fuzzy local rules. In this paper, a linear matrix inequality (LMI) approach for synchronization control of FCNNs with mixed delays is investigated. Mixed delays include discrete time-varying delays and unbounded distributed delays. A dynamic control scheme is proposed to achieve the synchronization between a drive network and a response network. By constructing the Lyapunov—Krasovskii functional which contains a triple-integral term and the free-weighting matrices method an improved delay-dependent stability criterion is derived in terms of LMIs. The controller can be easily obtained by solving the derived LMIs. A numerical example and its simulations are presented to illustrate the effectiveness of the proposed method. (interdisciplinary physics and related areas of science and technology)
Energy Technology Data Exchange (ETDEWEB)
Park, M.G.; Kim, Y.H.; Cha, K.H.; Kim, M.K. [Korea Electric Power Research Institute, Taejon (Korea)
1999-07-01
A method is described to develop and H{infinity} filtering method for the dynamic compensation of self-powered neutron detectors normally used for fixed incore instruments. An H{infinity} norm of the filter transfer matrix is used as the optimization criteria in the worst-case estimation error sense. Filter modeling is performed for both continuous- and discrete-time models. The filter gains are optimized in the sense of noise attenuation level of H{infinity} setting. By introducing Bounded Real Lemma, the conventional algebraic Riccati inequalities are converted into Linear Matrix Inequalities (LMIs). Finally, the filter design problem is solved via the convex optimization framework using LMIs. The simulation results show that remarkable improvements are achieved in view of the filter response time and the filter design efficiency. (author). 15 refs., 4 figs., 3 tabs.
Inequalities Involving Upper Bounds for Certain Matrix Operators
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Volume 116; Issue 3. Inequalities Involving Upper Bounds for Certain Matrix Operators. R Lashkaripour D Foroutannia. Volume ... Keywords. Inequality; norm; summability matrix; Hausdorff matrix; Hilbert matrix; weighted sequence space; Lorentz sequence space.
Directory of Open Access Journals (Sweden)
Mariana Santos Matos Cavalca
2012-01-01
Full Text Available One of the main advantages of predictive control approaches is the capability of dealing explicitly with constraints on the manipulated and output variables. However, if the predictive control formulation does not consider model uncertainties, then the constraint satisfaction may be compromised. A solution for this inconvenience is to use robust model predictive control (RMPC strategies based on linear matrix inequalities (LMIs. However, LMI-based RMPC formulations typically consider only symmetric constraints. This paper proposes a method based on pseudoreferences to treat asymmetric output constraints in integrating SISO systems. Such technique guarantees robust constraint satisfaction and convergence of the state to the desired equilibrium point. A case study using numerical simulation indicates that satisfactory results can be achieved.
A unified approach to fixed-order controller design via linear matrix inequalities
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Iwasaki T.
1995-01-01
Full Text Available We consider the design of fixed-order (or low-order linear controllers which meet certain performance and/or robustness specifications. The following three problems are considered; covariance control as a nominal performance problem, 𝒬 -stabilization as a robust stabilization problem, and robust L ∞ control problem as a robust performance problem. All three control problems are converted to a single linear algebra problem of solving a linear matrix inequality (LMI of the type B G C + ( B G C T + Q < 0 for the unknown matrix G . Thus this paper addresses the fixed-order controller design problem in a unified way. Necessary and sufficient conditions for the existence of a fixed-order controller which satisfies the design specifications for each problem are derived, and an explicit controller formula is given. In any case, the resulting problem is shown to be a search for a (structured positive definite matrix X such that X ∈ 𝒞 1 and X − 1 ∈ 𝒞 2 where 𝒞 1 and 𝒞 2 are convex sets defined by LMIs. Computational aspects of the nonconvex LMI problem are discussed.
A unified approach to fixed-order controller design via linear matrix inequalities
Directory of Open Access Journals (Sweden)
T. Iwasaki
1995-01-01
Full Text Available We consider the design of fixed-order (or low-order linear controllers which meet certain performance and/or robustness specifications. The following three problems are considered; covariance control as a nominal performance problem,-stabilization as a robust stabilization problem, and robust L∞ control problem as a robust performance problem. All three control problems are converted to a single linear algebra problem of solving a linear matrix inequality (LMI of the type BGC+(BGCT+Q<0 for the unknown matrix G. Thus this paper addresses the fixed-order controller design problem in a unified way. Necessary and sufficient conditions for the existence of a fixed-order controller which satisfies the design specifications for each problem are derived, and an explicit controller formula is given. In any case, the resulting problem is shown to be a search for a (structured positive definite matrix X such that X∈1 and X−1∈2 where 1 and 2 are convex sets defined by LMIs. Computational aspects of the nonconvex LMI problem are discussed.
H∞ /H2 model reduction through dilated linear matrix inequalities
DEFF Research Database (Denmark)
Adegas, Fabiano Daher; Stoustrup, Jakob
2012-01-01
This paper presents sufficient dilated linear matrix inequalities (LMI) conditions to the $H_{infty}$ and $H_{2}$ model reduction problem. A special structure of the auxiliary (slack) variables allows the original model of order $n$ to be reduced to an order $r=n/s$ where $n,r,s in field{N}$. Arb......This paper presents sufficient dilated linear matrix inequalities (LMI) conditions to the $H_{infty}$ and $H_{2}$ model reduction problem. A special structure of the auxiliary (slack) variables allows the original model of order $n$ to be reduced to an order $r=n/s$ where $n,r,s in field...
A survey of matrix theory and matrix inequalities
Marcus, Marvin
2010-01-01
Written for advanced undergraduate students, this highly regarded book presents an enormous amount of information in a concise and accessible format. Beginning with the assumption that the reader has never seen a matrix before, the authors go on to provide a survey of a substantial part of the field, including many areas of modern research interest.Part One of the book covers not only the standard ideas of matrix theory, but ones, as the authors state, ""that reflect our own prejudices,"" among them Kronecker products, compound and induced matrices, quadratic relations, permanents, incidence
Further results on "Robust MPC using Linear Matrix Inequalities"
Lazar, M.; Heemels, W.P.M.H.; Munoz de la Pena, D.; Alamo, T.
2008-01-01
This paper presents a novel method for designing the terminal cost and the auxiliary control law (ACL) for robust MPC of uncertain linear systems, such that ISS is a priori guaranteed for the closed-loop system. The method is based on the solution of a set of LMIs. An explicit relation is
Linear Matrix Inequality Based Fuzzy Synchronization for Fractional Order Chaos
Directory of Open Access Journals (Sweden)
Bin Wang
2015-01-01
Full Text Available This paper investigates fuzzy synchronization for fractional order chaos via linear matrix inequality. Based on generalized Takagi-Sugeno fuzzy model, one efficient stability condition for fractional order chaos synchronization or antisynchronization is given. The fractional order stability condition is transformed into a set of linear matrix inequalities and the rigorous proof details are presented. Furthermore, through fractional order linear time-invariant (LTI interval theory, the approach is developed for fractional order chaos synchronization regardless of the system with uncertain parameters. Three typical examples, including synchronization between an integer order three-dimensional (3D chaos and a fractional order 3D chaos, anti-synchronization of two fractional order hyperchaos, and the synchronization between an integer order 3D chaos and a fractional order 4D chaos, are employed to verify the theoretical results.
Compressor Surge Control Design Using Linear Matrix Inequality Approach
Uddin, Nur; Gravdahl, Jan Tommy
2017-01-01
A novel design for active compressor surge control system (ASCS) using linear matrix inequality (LMI) approach is presented and including a case study on piston-actuated active compressor surge control system (PAASCS). The non-linear system dynamics of the PAASCS is transformed into linear parameter varying (LPV) system dynamics. The system parameters are varying as a function of the compressor performance curve slope. A compressor surge stabilization problem is then formulated as a LMI probl...
Linear Matrix Inequalities in Multirate Control over Networks
Directory of Open Access Journals (Sweden)
Ángel Cuenca
2012-01-01
Full Text Available This paper faces two of the main drawbacks in networked control systems: bandwidth constraints and timevarying delays. The bandwidth limitations are solved by using multirate control techniques. The resultant multirate controller must ensure closed-loop stability in the presence of time-varying delays. Some stability conditions and a state feedback controller design are formulated in terms of linear matrix inequalities. The theoretical proposal is validated in two different experimental environments: a crane-based test-bed over Ethernet, and a maglev based platform over Profibus.
Matrix inequalities for the difference between arithmetic mean and harmonic mean
Liao, Wenshi; Wu, Junliang
2015-01-01
Motivated by the refinements and reverses of arithmetic-geometric mean and arithmetic-harmonic mean inequalities for scalars and matrices, in this article, we generalize the scalar and matrix inequalities for the difference between arithmetic mean and harmonic mean. In addition, relevant inequalities for the Hilbert-Schmidt norm and determinant are established.
The Golden-Thompson inequality: Historical aspects and random matrix applications
International Nuclear Information System (INIS)
Forrester, Peter J.; Thompson, Colin J.
2014-01-01
The Golden-Thompson inequality, Tr (e A+B ) ⩽ Tr (e A e B ) for A, B Hermitian matrices, appeared in independent works by Golden and Thompson published in 1965. Both of these were motivated by considerations in statistical mechanics. In recent years the Golden-Thompson inequality has found applications to random matrix theory. In this article, we detail some historical aspects relating to Thompson's work, giving in particular a hitherto unpublished proof due to Dyson, and correspondence with Pólya. We show too how the 2 × 2 case relates to hyperbolic geometry, and how the original inequality holds true with the trace operation replaced by any unitarily invariant norm. In relation to the random matrix applications, we review its use in the derivation of concentration type lemmas for sums of random matrices due to Ahlswede-Winter, and Oliveira, generalizing various classical results
Growth and inequality in India : analysis of an extended social accounting matrix
Pieters, Janneke
Based on an extended Social Accounting Matrix (SAM) for 2002-03. this study shows how sectoral growth in India affects Inequality A breakdown of the wage,account into three educational levels and 10 sectors of employment improves the link between sectoral expansion and household income in the SAM
New robust stable MPC using linear matrix inequalities
Directory of Open Access Journals (Sweden)
M.A. Rodrigues
2000-03-01
Full Text Available This paper addresses the stability of Model Predictive Control (MPC with output feedback. The proposed controller uses a new state-space formulation of the system, and the control problem is presented as an LMI optimization problem. The stability condition for the closed loop is included as a Lyapunov inequality. The resulting optimization problem becomes nonlinear with the inclusion of the stabilizing condition. A suboptimal solution is developed and the problem reduces to a pair of coupled LMI problems. An iterative solution that converges to a stable output feedback gain is proposed. A polytopic set of process models can be considered. A simulation example is included in the paper and shows that the proposed strategy eliminates the usual practice of enforcing robustness by detuning the MP controller.
DEFF Research Database (Denmark)
Addison, Tony; Pirttilä, Jukka; Tarp, Finn
2017-01-01
Many low‐ and middle‐income countries are achieving good rates of economic growth, while high inequality remains a priority concern. Some countries meanwhile have low growth, high inequality, and pervasive poverty—often linked to their fragility. There is now active debate on how countries should...... set themselves goals for achieving both absolute poverty reduction and lower inequality. But policy action needs to be better served by analysis and data....
H∞ Control of Coronary Artery Input Time-Delay System via the Free-Matrix-Based Integral Inequality
Directory of Open Access Journals (Sweden)
Sha-sha Li
2018-01-01
Full Text Available The issue of H∞ control for the coronary artery input time-delay system with external disturbance is of concern. To further reduce conservation, we utilize the free-matrix-based integral inequality, Wirtinger-based integral inequality, and reciprocal convex combination approach to construct Lyapunov-Krasovskii function (LKF. Then a sufficient condition for controller design which can guarantee robust synchronization the coronary artery system is represented in terms of linear matrix inequality (LMI. Finally, a numerical example is exploited to show the effectiveness of the proposed methods.
H-/H∞ structural damage detection filter design using an iterative linear matrix inequality approach
International Nuclear Information System (INIS)
Chen, B; Nagarajaiah, S
2008-01-01
The existence of damage in different members of a structure can be posed as a fault detection problem. It is also necessary to isolate structural members in which damage exists, which can be posed as a fault isolation problem. It is also important to detect the time instants of occurrence of the faults/damage. The structural damage detection filter developed in this paper is a model-based fault detection and isolation (FDI) observer suitable for detecting and isolating structural damage. In systems, possible faults, disturbances and noise are coupled together. When system disturbances and sensor noise cannot be decoupled from faults/damage, the detection filter needs to be designed to be robust to disturbances as well as sensitive to faults/damage. In this paper, a new H - /H ∞ and iterative linear matrix inequality (LMI) technique is developed and a new stabilizing FDI filter is proposed, which bounds the H ∞ norm of the transfer function from disturbances to the output residual and simultaneously does not degrade the component of the output residual due to damage. The reduced-order error dynamic system is adopted to form bilinear matrix inequalities (BMIs), then an iterative LMI algorithm is developed to solve the BMIs. The numerical example and experimental verification demonstrate that the proposed algorithm can successfully detect and isolate structural damage in the presence of measurement noise
An Offline Formulation of MPC for LPV Systems Using Linear Matrix Inequalities
Directory of Open Access Journals (Sweden)
P. Bumroongsri
2014-01-01
Full Text Available An offline model predictive control (MPC algorithm for linear parameter varying (LPV systems is presented. The main contribution is to develop an offline MPC algorithm for LPV systems that can deal with both time-varying scheduling parameter and persistent disturbance. The norm-bounding technique is used to derive an offline MPC algorithm based on the parameter-dependent state feedback control law and the parameter-dependent Lyapunov functions. The online computational time is reduced by solving offline the linear matrix inequality (LMI optimization problems to find the sequences of explicit state feedback control laws. At each sampling instant, a parameter-dependent state feedback control law is computed by linear interpolation between the precomputed state feedback control laws. The algorithm is illustrated with two examples. The results show that robust stability can be ensured in the presence of both time-varying scheduling parameter and persistent disturbance.
International Nuclear Information System (INIS)
Shao Hai-Jian; Cai Guo-Liang; Wang Hao-Xiang
2010-01-01
In this study, a successful linear matrix inequality approach is used to analyse a non-parameter perturbation of multi-delay Hopfield neural network by constructing an appropriate Lyapunov-Krasovskii functional. This paper presents the comprehensive discussion of the approach and also extensive applications
Two-Link Flexible Manipulator Control Using Sliding Mode Control Based Linear Matrix Inequality
Zulfatman; Marzuki, Mohammad; Alif Mardiyah, Nur
2017-04-01
Two-link flexible manipulator is a manipulator robot which at least one of its arms is made of lightweight material and not rigid. Flexible robot manipulator has some advantages over the rigid robot manipulator, such as lighter, requires less power and costs, and to result greater payload. However, suitable control algorithm to maintain the two-link flexible robot manipulator in accurate positioning is very challenging. In this study, sliding mode control (SMC) was employed as robust control algorithm due to its insensitivity on the system parameter variations and the presence of disturbances when the system states are sliding on a sliding surface. SMC algorithm was combined with linear matrix inequality (LMI), which aims to reduce the effects of chattering coming from the oscillation of the state during sliding on the sliding surface. Stability of the control algorithm is guaranteed by Lyapunov function candidate. Based on simulation works, SMC based LMI resulted in better performance improvements despite the disturbances with significant chattering reduction. This was evident from the decline of the sum of squared tracking error (SSTE) and the sum of squared of control input (SSCI) indexes respectively 25.4% and 19.4%.
Wu, Wei; Cui, Bao-Tong
2007-07-01
In this paper, a synchronization scheme for a class of chaotic neural networks with time-varying delays is presented. This class of chaotic neural networks covers several well-known neural networks, such as Hopfield neural networks, cellular neural networks, and bidirectional associative memory networks. The obtained criteria are expressed in terms of linear matrix inequalities, thus they can be efficiently verified. A comparison between our results and the previous results shows that our results are less restrictive.
Parinsi, M. T.; Palilingan, V. R.; Sukardi; Surjono, H. D.
2018-02-01
This paper is aim to developing Information system for the labor market which specifically linking vocational schools (SMK) graduates and industries. The methods of this application using Research and Development (R&D) from Borg and Gall conducting in North Sulawesi Province in Indonesia. The result are reliable and acceptable for the graduate students. The Labor Market Information system (LMIS) can help the industries to find a labor/graduates that matched with the company requirement at a real time. SMK may have a benefit by extracting the Information from the application, they can prepare their students for the specific work in the industries. The next development of the application will designed to be available not only for the SMK graduate students.
Energy Technology Data Exchange (ETDEWEB)
Lopes, Jean C. [PETROBRAS S.A., Rio de Janeiro, RJ (Brazil)
2009-07-01
The objective of this work is to apply the H2/H{infinity} control technique using linear matrix inequalities and pole placement constraints to the flexible structures control problem. The H2/H{infinity}control is a technique to design a controller with mixed features of the H2 and H{infinity} control formulations, such as, optimal dynamical performance and robust performance. The Linear Matrix Inequalities allow formulating the problem as a convex optimization problem, and additional constraints can be included such as the pole placement. The pole placement requirement comes from the necessity of adjusting the transient response of the plant and ensuring a specific behavior in terms of speed and damping responses. The mathematical model used for this study is related to a flexible beam, with an applied disturbance and an actuator in different positions. The state-space matrices of the structure were obtained using the finite element method with the Euler-Bernoulli formulation of beams. The results showed that the pole placement constraints can improve the performance of the controller H2/H{infinity}. The Matlab was used for the computational implementation. (author)
International Nuclear Information System (INIS)
Tamboli, P.K.; Duttagupta, Siddhartha P.; Roy, Kallol
2016-01-01
Highlights: • Derivation for delay compensation algorithm using recursive Kalman filter. • Derivation for delay compensation algorithm using Linear Matrix Inequality based H infinity filter. • Process modeling suitable for delay compensation. • Dynamic tuning of the delay compensation algorithm for both Kalman and H infinity filter. • Simulations and trade-off curve for Kalman and H infinity filter. - Abstract: This paper deals with delay compensation of vanadium Self Powered Neutron Detectors (SPNDs) using Linear Matrix Inequality (LMI) based H-infinity filtering method and compares the results with Kalman filtering method. The entire study is established upon the framework of neutron flux estimation in large core Pressurized Heavy Water Reactor (PHWR) in which delayed SPNDs such as vanadium SPNDs are used as in-core flux monitoring detectors. The use of vanadium SPNDs are limited to 3-D flux mapping despite of providing better Signal to Noise Ratio as compared to other prompt SPNDs, due to their small prompt component in the signal. The use of an appropriate delay compensation technique has been always considered to be an effective strategy to build a prompt and accurate estimate of the neutron flux. We also indicate the noise-response trade-off curve for both the techniques. Since all the delay compensation algorithms always suffer from noise amplification, we propose an efficient adaptive parameter tuning technique for improving performance of the filtering algorithm against noise in the measurement.
Linear Matrix Inequalities for Analysis and Control of Linear Vector Second-Order Systems
DEFF Research Database (Denmark)
Adegas, Fabiano Daher; Stoustrup, Jakob
2015-01-01
the Lyapunov matrix and the system matrices by introducing matrix multipliers, which potentially reduce conservativeness in hard control problems. Multipliers facilitate the usage of parameter-dependent Lyapunov functions as certificates of stability of uncertain and time-varying vector second-order systems......SUMMARY Many dynamical systems are modeled as vector second-order differential equations. This paper presents analysis and synthesis conditions in terms of LMI with explicit dependence in the coefficient matrices of vector second-order systems. These conditions benefit from the separation between....... The conditions introduced in this work have the potential to increase the practice of analyzing and controlling systems directly in vector second-order form. Copyright © 2014 John Wiley & Sons, Ltd....
Chikumba, Patrick Albert
District pharmacies in Malawi use a computerised IS to monitor the flow of products from a warehouse to health service delivery points and determine understocked or overstocked products at each health facility. Currently, all drug LMIS reports are in tabular forms. The GIS can help health and drug logistics officers to get additional spatial information, such as locations of health facilities and environmental factors, to the existing reports in the form of maps. This paper highlights some opportunities and challenges of applying the GIS in the drug LMIS, which basically involve technologies, organisation, and standards and data integration. It has been found that this idea is very good but it requires much effort, commitment and resources for successful implementation.
DEFF Research Database (Denmark)
Niño-Zarazúa, Miguel; Roope, Laurence; Tarp, Finn
2017-01-01
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...
Directory of Open Access Journals (Sweden)
Eka Susilowati
2017-01-01
A complete idempotent semiring has a structure which is called a complete lattice. Because of the same structure as the complete lattice then inequality of the complete idempotent semiring can be solved a solution by using residuation theory. One of the inequality which is explained is where matrices A,X,B with entries in the complete idempotent semiring S. Furthermore, introduced dual product , i.e. binary operation endowed in a complete idempotent semirings S and not included in the standard definition of complete idempotent semirings. A solution of inequality can be solved by using residuation theory. Because of the guarantee that for each isotone mapping in complete lattice always has a fixed point, then is also exist in a complete idempotent semirings. This of the characteristics is used in order to obtain the greatest solution of inequality . Keywords: complete lattice, complete idempotent semiring, dual Kleene Star, dual product, residuation theory
International Nuclear Information System (INIS)
Goldstein, G.R.; Jaffe, R.L.; Ji, X.
1995-01-01
Various issues surrounding a recently proposed inequality among twist-two quark distributions in the nucleon are discussed. We provide a rigorous derivation of the inequality in QCD, including radiative corrections and scale dependence. We also give a more heuristic, but more physical derivation, from which we show that a similar inequality does not exist among twist-three quark distributions. We demonstrate that the inequality does not constrain the nucleon's tensor charge. Finally we explore physical mechanisms for saturating the inequality, arguing it is unlikely to occur in nature
DEFF Research Database (Denmark)
Niño-Zarazúa, Miguel; Roope, Laurence; Tarp, Finn
2017-01-01
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...... by centrist measures such as the Krtscha, could return to 1975 levels, at today's domestic and global per capita income levels, but this would require quite dramatic structural reforms to reduce domestic inequality levels in most countries....... 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...
Synchronization of cellular neural networks of neutral type via dynamic feedback controller
International Nuclear Information System (INIS)
Park, Ju H.
2009-01-01
In this paper, we aim to study global synchronization for neural networks with neutral delay. A dynamic feedback control scheme is proposed to achieve the synchronization between drive network and response network. By utilizing the Lyapunov function and linear matrix inequalities (LMIs), we derive simple and efficient criterion in terms of LMIs for synchronization. The feedback controllers can be easily obtained by solving the derived LMIs.
Generalization of Samuelson's inequality and location of eigenvalues
Indian Academy of Sciences (India)
Department of Mathematics, H. P. University, Shimla 171 005, India ... Refinements, extensions and applications of such inequalities have been studied ..... Samuelson inequality with extensions and applications in statistics and matrix theory,.
Ghoussoub, Nassif
2013-01-01
The book describes how functional inequalities are often manifestations of natural mathematical structures and physical phenomena, and how a few general principles validate large classes of analytic/geometric inequalities, old and new. This point of view leads to "systematic" approaches for proving the most basic inequalities, but also for improving them, and for devising new ones--sometimes at will and often on demand. These general principles also offer novel ways for estimating best constants and for deciding whether these are attained in appropriate function spaces. As such, improvements of Hardy and Hardy-Rellich type inequalities involving radially symmetric weights are variational manifestations of Sturm's theory on the oscillatory behavior of certain ordinary differential equations. On the other hand, most geometric inequalities, including those of Sobolev and Log-Sobolev type, are simply expressions of the convexity of certain free energy functionals along the geodesics on the Wasserstein manifold of...
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....
Bhatia, Rajendra
1997-01-01
A good part of matrix theory is functional analytic in spirit. This statement can be turned around. There are many problems in operator theory, where most of the complexities and subtleties are present in the finite-dimensional case. My purpose in writing this book is to present a systematic treatment of methods that are useful in the study of such problems. This book is intended for use as a text for upper division and gradu ate courses. Courses based on parts of the material have been given by me at the Indian Statistical Institute and at the University of Toronto (in collaboration with Chandler Davis). The book should also be useful as a reference for research workers in linear algebra, operator theory, mathe matical physics and numerical analysis. A possible subtitle of this book could be Matrix Inequalities. A reader who works through the book should expect to become proficient in the art of deriving such inequalities. Other authors have compared this art to that of cutting diamonds. One first has to...
Reconciling consumption inequality with income inequality
Lepetyuk, V.; Stoltenberg, C.A.
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
DEFF Research Database (Denmark)
Frausing, Kristian Park; Smærup, Michael; Maibom, Kirsten
living alone. Social and psychological needs were of primary concern whereas practical needs were of lesser concern. The second study showed older men living alone with no/short education to rate their health significantly worse on almost all items compared to men of higher education. The third study......Background: Being male, living alone and being of low socioeconomic status (SES) are all risk factors for health inequities, including a shorter lifespan. Not much is known, however, about older low-SES men living alone. This study maps their health. Methods: Three studies were conducted. First......, an electronic survey with municipal preventive home visitors nationwide inquiring into their perception of the health and needs of old men living alone. The second study compared older men's self-rated health according to their living arrangements and educational level using data from 29.791 older men from...
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 as a th...
Refined Fuchs inequalities for systems of linear differential equations
International Nuclear Information System (INIS)
Gontsov, R R
2004-01-01
We refine the Fuchs inequalities obtained by Corel for systems of linear meromorphic differential equations given on the Riemann sphere. Fuchs inequalities enable one to estimate the sum of exponents of the system over all its singular points. We refine these well-known inequalities by considering the Jordan structure of the leading coefficient of the Laurent series for the matrix of the right-hand side of the system in the neighbourhood of a singular point
Some means inequalities for positive operators in Hilbert spaces
Directory of Open Access Journals (Sweden)
Jin Liang
2017-01-01
Full Text Available Abstract In this paper, we obtain two refinements of the ordering relations among Heinz means with different parameters via the Taylor series of some hyperbolic functions and by the way, we derive new generalizations of Heinz operator inequalities. Moreover, we establish a matrix version of Heinz inequality for the Hilbert-Schmidt norm. Finally, we introduce a weighted multivariate geometric mean and show that the weighted multivariate operator geometric mean possess several attractive properties and means inequalities.
Operator Arithmetic-Harmonic Mean Inequality on Krein Spaces
Directory of Open Access Journals (Sweden)
M. Dehghani
2014-03-01
Full Text Available We prove an operator arithmetic-harmonic mean type inequality in Krein space setting, by using some block matrix techniques of indefinite type. We also give an example which shows that the operator arithmetic-geometric-harmonic mean inequality for two invertible selfadjoint operators on Krein spaces is not valid, in general.
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.
Generalization of Samuelson's inequality and location of eigenvalues
Indian Academy of Sciences (India)
We prove a generalization of Samuelson's inequality for higher order central moments. Bounds for the eigenvalues are obtained when a given complex × matrix has real eigenvalues. Likewise, we discuss bounds for the roots of polynomial equations.
International Nuclear Information System (INIS)
Park, Moon-Ghu; Choi, Yu-Sun; Lee, Kwang-Dae
2008-01-01
This paper describes the experimental demonstration of the theoretical result of the previous work on LMI (linear matrix inequality) based H ∞ filter for time-delay compensation of self-powered neutron detectors. The filter gains are optimized in the sense of noise attenuation level of H ∞ setting. By introducing bounded real lemma, the conventional algebraic Riccati inequalities are converted into linear matrix inequalities (LMIs). Finally, the filter design problem is solved via the convex optimization framework using LMIs. The experimental measurements of rhodium detector signal from a research reactor show that the predicted theoretical filter performance is verified by showing successful reconstruction of the reference power signal
A Generalized Affine Isoperimetric Inequality
Chen, Wenxiong; Howard, Ralph; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
2004-01-01
A purely analytic proof is given for an inequality that has as a direct consequence the two most important affine isoperimetric inequalities of plane convex geometry: The Blaschke-Santalo inequality and the affine isoperimetric inequality of affine differential geometry.
Mills, Melinda
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
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....
Determinants of income inequality
Afandi, Akhsyim; Rantung, Vebryna Permatasari; Marashdeh, Hazem
2017-01-01
This study examines whether changing economic structure, social conditions, and financialization are responsible for increased income inequality in Indonesia. By employing panel data of 32 provinces in Indonesia that spans from 2007 to 2013, it finds that structural change affects income inequality, increased share of finance reduces inequality, which is against the financialization hypothesis, and social conditions have expected effects on income inequality. While an increased share of both ...
Matrix theory selected topics and useful results
Mehta, Madan Lal
1989-01-01
Matrices and operations on matrices ; determinants ; elementary operations on matrices (continued) ; eigenvalues and eigenvectors, diagonalization of normal matrices ; functions of a matrix ; positive definiteness, various polar forms of a matrix ; special matrices ; matrices with quaternion elements ; inequalities ; generalised inverse of a matrix ; domain of values of a matrix, location and dispersion of eigenvalues ; symmetric functions ; integration over matrix variables ; permanents of doubly stochastic matrices ; infinite matrices ; Alexander matrices, knot polynomials, torsion numbers.
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...... 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....
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....
Migration and regional inequality
DEFF Research Database (Denmark)
Peng, Lianqing; Swider, Sarah
2017-01-01
Scholars studying economic inequality in China have maintained that regional inequality and economic divergence across provinces have steadily increased over the past 30 years. New studies have shown that this trend is a statistical aberration; calculations show that instead of quickly and sharply...... 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...... across provinces in order to show that without these processes, we would have seen more of a rise in interprovincial income inequality. We conclude by arguing that inequality in China is still increasing, but it is changing and becoming less place-based. As regional inequality decreases, there are signs...
Eliazar, Iddo
2018-02-01
This paper presents a concise and up-to-date tour to the realm of inequality indices. Originally devised for socioeconomic applications, inequality indices gauge the divergence of wealth distributions in human societies from the socioeconomic 'ground state' of perfect equality, i.e. pure communism. Inequality indices are quantitative scores that take values in the unit interval, with the zero score characterizing perfect equality. In effect, inequality indices are applicable in the context of general distributions of sizes - non-negative quantities such as count, length, area, volume, mass, energy, and duration. For general size distributions, which are omnipresent in science and engineering, inequality indices provide multi-dimensional and infinite-dimensional quantifications of the inherent inequality - i.e., the statistical heterogeneity, the non-determinism, the randomness. This paper compactly describes the insights and the practical implementation of inequality indices.
Dynamic inequalities on time scales
Agarwal, Ravi; Saker, Samir
2014-01-01
This is a monograph devoted to recent research and results on dynamic inequalities on time scales. The study of dynamic inequalities on time scales has been covered extensively in the literature in recent years and has now become a major sub-field in pure and applied mathematics. In particular, this book will cover recent results on integral inequalities, including Young's inequality, Jensen's inequality, Holder's inequality, Minkowski's inequality, Steffensen's inequality, Hermite-Hadamard inequality and Čebyšv's inequality. Opial type inequalities on time scales and their extensions with weighted functions, Lyapunov type inequalities, Halanay type inequalities for dynamic equations on time scales, and Wirtinger type inequalities on time scales and their extensions will also be discussed here in detail.
Educational Inequality and Income Inequality: An Empirical Study on China
Yang, Jun; Huang, Xiao; Li, Xiaoyu
2009-01-01
Based on the endogenous growth theory, this paper uses the Gini coefficient to measure educational inequality and studies the empirical relationship between educational inequality and income inequality through a simultaneous equation model. The results show that: (1) Income inequality leads to educational inequality while the reduction of…
Why reduce health inequalities?
Woodward, A; Kawachi, I
2000-12-01
It is well known that social, cultural and economic factors cause substantial inequalities in health. Should we strive to achieve a more even share of good health, beyond improving the average health status of the population? We examine four arguments for the reduction of health inequalities.1 Inequalities are unfair. Inequalities in health are undesirable to the extent that they are unfair, or unjust. Distinguishing between health inequalities and health inequities can be contentious. Our view is that inequalities become "unfair" when poor health is itself the consequence of an unjust distribution of the underlying social determinants of health (for example, unequal opportunities in education or employment).2 Inequalities affect everyone. Conditions that lead to marked health disparities are detrimental to all members of society. Some types of health inequalities have obvious spillover effects on the rest of society, for example, the spread of infectious diseases, the consequences of alcohol and drug misuse, or the occurrence of violence and crime.3 Inequalities are avoidable. Disparities in health are avoidable to the extent that they stem from identifiable policy options exercised by governments, such as tax policy, regulation of business and labour, welfare benefits and health care funding. It follows that health inequalities are, in principle, amenable to policy interventions. A government that cares about improving the health of the population ought therefore to incorporate considerations of the health impact of alternative options in its policy setting process.3 Interventions to reduce health inequalities are cost effective. Public health programmes that reduce health inequalities can also be cost effective. The case can be made to give priority to such programmes (for example, improving access to cervical cancer screening in low income women) on efficiency grounds. On the other hand, few programmes designed to reduce health inequalities have been formally
Bell's inequalities for quantum mechanics
International Nuclear Information System (INIS)
Andaas, H.E.
1991-10-01
Inequalities corresponding to the generalized Bell's inequalities of local realism are derived for the quantum case. The extremal values permitted by these inequalities exceed those allowed by the generalized Bell's inequalities. Quantum predictions for systems of two spin-1/2 particles prepared as mixtures do not violate Bell's inequalities. 15 refs
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
2004-01-01
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...
Thévenot, Celine
2017-08-01
This article recalls the state of play of inequality levels and trends in OECD countries, with a special focus on Nordic countries. It sheds light on explaining the drivers of the rise in inequality and its economic consequences. It addresses in particular the issue of redistribution through taxes and transfers. It concludes with an overview of policy packages that should be considered to address the issue of rising inequalities.
Globalisation, Inequality and Populism
Nolan, Brian
2017-01-01
read before the Society, 20 April 2017; Symposium 2016-2017: Globalisation, Inequality and the Rise of Populism Inequality in the distribution of income and wealth among individuals has now come to the fore as a core concern across the industrialised world. In 2013 then President of the United States Barack Obama identified rising income inequality as ?the defining challenge of our times?. The Managing Director of the International Monetary Fund Christine Lagarde has stated that ?reducing ...
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 ...
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
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...... higher inequality among immigrants than natives in Denmark, but vice versa for Germany. Over the period 1984-2003, this inequality gap has narrowed in both countries. At the same time, the contribution of immigrants to overall inequality has increased systematically, primarily caused by the increased...... share of immigrants in the population....
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.
International Nuclear Information System (INIS)
Feng Yi-Fu; Zhang Qing-Ling; Feng De-Zhi
2012-01-01
The global stability problem of Takagi—Sugeno (T—S) fuzzy Hopfield neural networks (FHNNs) with time delays is investigated. Novel LMI-based stability criteria are obtained by using Lyapunov functional theory to guarantee the asymptotic stability of the FHNNs with less conservatism. Firstly, using both Finsler's lemma and an improved homogeneous matrix polynomial technique, and applying an affine parameter-dependent Lyapunov—Krasovskii functional, we obtain the convergent LMI-based stability criteria. Algebraic properties of the fuzzy membership functions in the unit simplex are considered in the process of stability analysis via the homogeneous matrix polynomials technique. Secondly, to further reduce the conservatism, a new right-hand-side slack variables introducing technique is also proposed in terms of LMIs, which is suitable to the homogeneous matrix polynomials setting. Finally, two illustrative examples are given to show the efficiency of the proposed approaches
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...
International Nuclear Information System (INIS)
Sylvester, G.S.
1980-01-01
In the Ising-type models of statistical mechanics and the related quantum field theories, an inequality of Ginibre implies useful positivity and monotonicity properties: the Griffiths correlation inequalities. Essentially, the Ginibre inequality states that certain functions on the cycle group of a graph are positive definite. This has been proved for arbitrary graphs when the spin dimensions is 1 or 2 (classical Ising or plane rotator models). We give a counterexample to show that these spin dimensions are the only ones for which the Ginibre inequality is generally true: there are graphs for which it never holds when the spin dimension is at least 3. On the other hand, we show that for any graph the inequality holds for the apparent leading term in the large-spin-dimension limit. (The leading term vanishes in the graph of the counterexample.) Based on these results, one expects the Ginibre inequality to be true in most instances, with infrequent exceptions. A numerical survey supports this. The surprising failure of the Ginibre inequality in higher dimensions need not necessarily mean the Griffiths inequalities fail as well, but a different approach to them is required. (orig.)
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…
Dual affine isoperimetric inequalities
Directory of Open Access Journals (Sweden)
Bin Xiong
2006-01-01
Full Text Available We establish some inequalities for the dual -centroid bodies which are the dual forms of the results by Lutwak, Yang, and Zhang. Further, we establish a Brunn-Minkowski-type inequality for the polar of dual -centroid bodies.
Inequalities for Differential Forms
Agarwal, Ravi P
2009-01-01
Presents a series of local and global estimates and inequalities for differential forms, in particular the ones that satisfy the A-harmonic equations. This work focuses on the Hardy-Littlewood, Poincare, Cacciooli, imbedded and reverse Holder inequalities. It is for researchers, instructors and graduate students
Global Inequality: An Introduction
Directory of Open Access Journals (Sweden)
Michelle Bata
2015-08-01
Full Text Available Global inequality has been little analyzed by sociologists despite their claim to be the scienti?c experts most in charge of the study of human inequalities and social strati?cation. Most undergraduate courses on social inequalities study race, class and gender without ever acknowledging that the greatest inequalities are between those individuals and households that live in developed versus less developed societies. The amount of international inequality has vastly outweighed within country inequalities since at least the 1870s when a wave of economic globalization under the Pax Britannica increased average wages in the core while leaving most of the periphery and the semiperiphery at subsistence levels. Increasing inequality was one of the most important consequences of nineteenth century globalization, and this fact is pregnant with importance for those who seek to understand what the consequences of twentieth century globalization may be. Resistance to global capitalism and attacks on symbols of power are likely to increase, just as they did in the decades following the great expansion of trade and investment in the last decades of the nineteenth century. Research into the causes of increasing inequalities is thus extremely important for social scientists, policy makers and global citizens who need to understand how the world-system works in order to change it.
Observers for Systems with Nonlinearities Satisfying an Incremental Quadratic Inequality
Acikmese, Ahmet Behcet; Corless, Martin
2004-01-01
We consider the problem of state estimation for nonlinear time-varying systems whose nonlinearities satisfy an incremental quadratic inequality. These observer results unifies earlier results in the literature; and extend it to some additional classes of nonlinearities. Observers are presented which guarantee that the state estimation error exponentially converges to zero. Observer design involves solving linear matrix inequalities for the observer gain matrices. Results are illustrated by application to a simple model of an underwater.
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...
International Nuclear Information System (INIS)
Emary, Clive; Lambert, Neill; Nori, Franco
2014-01-01
In contrast to the spatial Bell's inequalities which probe entanglement between spatially separated systems, the Leggett–Garg inequalities test the correlations of a single system measured at different times. Violation of a genuine Leggett–Garg test implies either the absence of a realistic description of the system or the impossibility of measuring the system without disturbing it. Quantum mechanics violates the inequalities on both accounts and the original motivation for these inequalities was as a test for quantum coherence in macroscopic systems. The last few years has seen a number of experimental tests and violations of these inequalities in a variety of microscopic systems such as superconducting qubits, nuclear spins, and photons. In this article, we provide an introduction to the Leggett–Garg inequalities and review these latest experimental developments. We discuss important topics such as the significance of the non-invasive measurability assumption, the clumsiness loophole, and the role of weak measurements. Also covered are some recent theoretical proposals for the application of Leggett–Garg inequalities in quantum transport, quantum biology and nano-mechanical systems. (review article)
Income Inequality and Education
Directory of Open Access Journals (Sweden)
Richard Breen
2015-08-01
Full Text Available Many commentators have seen the growing gap in earnings and income between those with a college education and those without as a major cause of increasing inequality in the United States and elsewhere. In this article we investigate the extent to which increasing the educational attainment of the US population might ameliorate inequality. We use data from NLSY79 and carry out a three-level decomposition of total inequality into within-person, between-person and between-education parts. We find that the between-education contribution to inequality is small, even when we consider only adjusted inequality that omits the within-person component. We carry out a number of simulations to gauge the likely impact on inequality of changes in the distribution of education and of a narrowing of the differences in average incomes between those with different levels of education. We find that any feasible educational policy is likely to have only a minor impact on income inequality.
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 inequality...
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 inequality...
Volume Inequalities for Isotropic Measures
Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
2006-01-01
A direct approach to Ball's simplex inequality is presented. This approach, which does not use the Brascamp-Lieb inequality, also gives Barthe's characterization of the simplex for Ball's inequality and extends it from discrete to arbitrary measures. It also yields the dual inequality, along with equality conditions, and it does both for arbitrary measures.
Jae Song; David J. Price; Fatih Guvenen; Nicholas Bloom; Till von Wachter
2015-01-01
Earnings inequality in the United States has increased rapidly over the last three decades, but little is known about the role of firms in this trend. For example, how much of the rise in earnings inequality can be attributed to rising dispersion between firms in the average wages they pay, and how much is due to rising wage dispersion among workers within firms? Similarly, how did rising inequality affect the wage earnings of different types of workers working for the same employer—men vs. w...
Inequalities an approach through problems
Venkatachala, B J
2018-01-01
This book discusses about the basic topics on inequalities and their applications. These include the arithmetic mean–geometric mean inequality, Cauchy–Schwarz inequality, Chebyshev inequality, rearrangement inequality, convex and concave functions and Muirhead's theorem. The book contains over 400 problems with their solutions. A chapter on geometric inequalities is a special feature of this book. Most of these problems are from International Mathematical Olympiads and from many national mathematical Olympiads. The book is intended to help students who are preparing for various mathematical competitions. It is also a good source book for graduate students who are consolidating their knowledge of inequalities and their applications. .
Looking for symmetric Bell inequalities
Bancal, Jean-Daniel; Gisin, Nicolas; Pironio, Stefano
2010-01-01
Finding all Bell inequalities for a given number of parties, measurement settings and measurement outcomes is in general a computationally hard task. We show that all Bell inequalities which are symmetric under the exchange of parties can be found by examining a symmetrized polytope which is simpler than the full Bell polytope. As an illustration of our method, we generate 238 885 new Bell inequalities and 1085 new Svetlichny inequalities. We find, in particular, facet inequalities for Bell e...
Inequality of Opportunity in Egypt
Hassine, Nadia Belhaj
2012-01-01
The article evaluates the contribution of inequality of opportunity to earnings inequality in Egypt and analyzes its evolution across three time periods and different population groups. It provides parametric and nonparametric estimates of a lower bound for the degree of inequality of opportunity for wage and salary workers. On average, the contribution of opportunity-shaping circumstances to earnings inequality declined from 22 percent in 1988 to 15 percent in 2006. Levels of inequality of o...
Several applications of Cartwright-Field's inequality
Minculete, Nicuşor; Furuichi, Shigeru
2011-01-01
In this paper we present several applications of Cartwright-Field's inequality. Among these we found Young's inequality, Bernoulli's inequality, the inequality between the weighted power means, H\\"{o}lder's inequality and Cauchy's inequality. We give also two applications related to arithmetic functions and to operator inequalities.
Pozsgay, Victor; Hirsch, Flavien; Branciard, Cyril; Brunner, Nicolas
2017-12-01
We introduce Bell inequalities based on covariance, one of the most common measures of correlation. Explicit examples are discussed, and violations in quantum theory are demonstrated. A crucial feature of these covariance Bell inequalities is their nonlinearity; this has nontrivial consequences for the derivation of their local bound, which is not reached by deterministic local correlations. For our simplest inequality, we derive analytically tight bounds for both local and quantum correlations. An interesting application of covariance Bell inequalities is that they can act as "shared randomness witnesses": specifically, the value of the Bell expression gives device-independent lower bounds on both the dimension and the entropy of the shared random variable in a local model.
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...
Regional inequalities in mortality.
Illsley, R; Le Grand, J
1993-01-01
STUDY OBJECTIVE--To examine the hypothesis of sustained and persistent inequalities in health between British regions and to ask how far they are a consequence of using standardised mortality ratios as the tool of measurement. DESIGN, SETTING AND PARTICIPANTS--Data are regional, age specific death rates at seven points in time from 1931 to 1987-89 for the British regions, reconstructed to make them comparable with the 1981 regional definitions. Log variance is used to measure inequality; regi...
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...... that shocks to the employees' relative productivity, i.e., skill-biased technological change, are unlikely to have caused the increase in income inequality....
D'Alessandro, Simone; Fioroni, Tamara
2011-01-01
This paper focuses on the evolution of child labour, fertility and human capital in an economy characterized by two type of individuals, low and high skilled workers. This heterogeneity allows for an endogenous analysis of inequality generated by child labour. More specifically, according to empirical evidence, we oer an explanation for the emergence of a vicious cycle between child labour and inequality. The basic intuition behind this result is the interdependence between child labour and f...
Uslaner, Eric M.
2006-01-01
Economic inequality provides a fertile breeding ground for corruption and, in turn, leads to further inequalities. Most corruption models focus on the institutional determinants of government dishonesty. However, such accounts are problematic. Corruption is remarkably sticky over time. There is a very powerful correlation between crossnational measures corruption in 1980 and in 2004. In contrast, measures of democracy such as the Freedom House scores are not so strongly correlated over time, ...
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...
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.
International Nuclear Information System (INIS)
Michielsen, K.; De Raedt, H.; Hess, K.
2011-01-01
We discuss the relation between Bell's and Boole's inequality. We apply both to the analysis of measurement results in idealized Einstein-Podolsky-Rosen-Bohm experiments. We present a local realist model that violates Bell's and Boole's inequality due to the absence of Boole's one-to-one correspondence between the two-valued variables of the mathematical description and the two-valued measurement results.
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.
Global Oral Health Inequalities
Garcia, I.; Tabak, L.A.
2011-01-01
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. PMID:21490232
New results on global exponential stability of recurrent neural networks with time-varying delays
International Nuclear Information System (INIS)
Xu Shengyuan; Chu Yuming; Lu Junwei
2006-01-01
This Letter provides new sufficient conditions for the existence, uniqueness and global exponential stability of the equilibrium point of recurrent neural networks with time-varying delays by employing Lyapunov functions and using the Halanay inequality. The time-varying delays are not necessarily differentiable. Both Lipschitz continuous activation functions and monotone nondecreasing activation functions are considered. The derived stability criteria are expressed in terms of linear matrix inequalities (LMIs), which can be checked easily by resorting to recently developed algorithms solving LMIs. Furthermore, the proposed stability results are less conservative than some previous ones in the literature, which is demonstrated via some numerical examples
New results on global exponential stability of recurrent neural networks with time-varying delays
Energy Technology Data Exchange (ETDEWEB)
Xu Shengyuan [Department of Automation, Nanjing University of Science and Technology, Nanjing 210094 (China)]. E-mail: syxu02@yahoo.com.cn; Chu Yuming [Department of Mathematics, Huzhou Teacher' s College, Huzhou, Zhejiang 313000 (China); Lu Junwei [School of Electrical and Automation Engineering, Nanjing Normal University, 78 Bancang Street, Nanjing, 210042 (China)
2006-04-03
This Letter provides new sufficient conditions for the existence, uniqueness and global exponential stability of the equilibrium point of recurrent neural networks with time-varying delays by employing Lyapunov functions and using the Halanay inequality. The time-varying delays are not necessarily differentiable. Both Lipschitz continuous activation functions and monotone nondecreasing activation functions are considered. The derived stability criteria are expressed in terms of linear matrix inequalities (LMIs), which can be checked easily by resorting to recently developed algorithms solving LMIs. Furthermore, the proposed stability results are less conservative than some previous ones in the literature, which is demonstrated via some numerical examples.
Directory of Open Access Journals (Sweden)
Shangli Zhang
2009-01-01
Full Text Available By using the methods of linear algebra and matrix inequality theory, we obtain the characterization of admissible estimators in the general multivariate linear model with respect to inequality restricted parameter set. In the classes of homogeneous and general linear estimators, the necessary and suffcient conditions that the estimators of regression coeffcient function are admissible are established.
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...
Product spaces and Nelson's inequality
International Nuclear Information System (INIS)
Faris, W.G.
1976-01-01
Certain inequalities for unbounded linear operators in L 2 extend to product spaces. This product space property is used to give a new proof that Gross's inequality for matrices implies Nelson's inequality for ordinary differential operators, and that this in turn implies Nelson's inequality for partial differential operators in infinitely many dimensions. A new proof of Gross's inequality is given. There is also a discussion of the physical meaning of Nelson's inequality in quantum field theory. The article may serve as an introduction for non-specialists to some of the recent mathematical work in this subject. (Auth.)
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
The Relationship between Income Inequality and Inequality in Schooling
Mayer, Susan E.
2010-01-01
Children of affluent parents get more schooling than children of poor parents, which seems to imply that reducing income inequality would reduce inequality in schooling. Similarly, one of the best predictors of an individual's income is his educational attainment, which seems to imply that reducing inequality in schooling will reduce income…
Reachable Sets of Hidden CPS Sensor Attacks : Analysis and Synthesis Tools
Murguia, Carlos; van de Wouw, N.; Ruths, Justin; Dochain, Denis; Henrion, Didier; Peaucelle, Dimitri
2017-01-01
For given system dynamics, control structure, and fault/attack detection procedure, we provide mathematical tools–in terms of Linear Matrix Inequalities (LMIs)–for characterizing and minimizing the set of states that sensor attacks can induce in the system while keeping the alarm rate of the
International Nuclear Information System (INIS)
Chen, S.-F.
2009-01-01
The asymptotic stability problem for discrete-time systems with time-varying delay subject to saturation nonlinearities is addressed in this paper. In terms of linear matrix inequalities (LMIs), a delay-dependent sufficient condition is derived to ensure the asymptotic stability. A numerical example is given to demonstrate the theoretical results.
Passive Fault Tolerant Control of Piecewise Affine Systems Based on H Infinity Synthesis
DEFF Research Database (Denmark)
Gholami, Mehdi; Cocquempot, vincent; Schiøler, Henrik
2011-01-01
In this paper we design a passive fault tolerant controller against actuator faults for discretetime piecewise affine (PWA) systems. By using dissipativity theory and H analysis, fault tolerant state feedback controller design is expressed as a set of Linear Matrix Inequalities (LMIs). In the cur...
LMI optimization approach to stabilization of time-delay chaotic systems
International Nuclear Information System (INIS)
Park, Ju H.; Kwon, O.M.
2005-01-01
Based on the Lyapunov stability theory and linear matrix inequality (LMI) technique, this paper proposes a novel control method for stabilization of a class of time-delay chaotic systems. A stabilization criterion is derived in terms of LMIs which can be easily solved by efficient convex optimization algorithms. A numerical example is included to show the advantage of the result derived
Social inequalities in "sickness"
DEFF Research Database (Denmark)
van der Wel, Kjetil A; Dahl, Espen; Thielen, Karsten
2012-01-01
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...... consistent results. They analyze data from the European Union Statistics on Income and Living Conditions (EU-SILC); health was measured by limiting longstanding illness (LLSI). Results show that for both men and women reporting LLSI in combination with low educational level, the probabilities of non......-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...
DEFF Research Database (Denmark)
Alt, James E.; Lassen, David Dreyer
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......, 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...
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...... and ethnification of job categories. However, the same spatial structures allows for a variety of opposition and conciliation strategies among minority employees, even though the latter tend to prevail in a reproduction rather than a transformation of the organizational opportunity structures. Research limitations...... 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...
Economic inequality increases risk taking.
Payne, B Keith; Brown-Iannuzzi, Jazmin L; Hannay, Jason W
2017-05-02
Rising income inequality is a global trend. Increased income inequality has been associated with higher rates of crime, greater consumer debt, and poorer health outcomes. The mechanisms linking inequality to poor outcomes among individuals are poorly understood. This research tested a behavioral account linking inequality to individual decision making. In three experiments ( n = 811), we found that higher inequality in the outcomes of an economic game led participants to take greater risks to try to achieve higher outcomes. This effect of unequal distributions on risk taking was driven by upward social comparisons. Next, we estimated economic risk taking in daily life using large-scale data from internet searches. Risk taking was higher in states with greater income inequality, an effect driven by inequality at the upper end of the income distribution. Results suggest that inequality may promote poor outcomes, in part, by increasing risky behavior.
Industrialization and inequality revisited
DEFF Research Database (Denmark)
Molitoris, Joseph; Dribe, Martin
2016-01-01
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......, 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...
DEFF Research Database (Denmark)
Sonne-Schmidt, Christoffer Scavenius; Tarp, Finn; Østerdal, Lars Peter Raahave
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 correlationincreasing switches and/or median......-preserving spreads. For the canonical 2x2 case (with two binary indicators), we derive a simple operational procedure for checking ordinal inequality relations in practice. As an illustration, we apply the model to childhood deprivation in Mozambique....
Type Inference with Inequalities
DEFF Research Database (Denmark)
Schwartzbach, Michael Ignatieff
1991-01-01
of (monotonic) inequalities on the types of variables and expressions. A general result about systems of inequalities over semilattices yields a solvable form. We distinguish between deciding typability (the existence of solutions) and type inference (the computation of a minimal solution). In our case, both......Type inference can be phrased as constraint-solving over types. We consider an implicitly typed language equipped with recursive types, multiple inheritance, 1st order parametric polymorphism, and assignments. Type correctness is expressed as satisfiability of a possibly infinite collection...
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....../or median-preserving spreads. For the canonical 2 × 2 case (with two binary indicators), we derive a simple operational procedure for checking ordinal inequality relations in practice. As an illustration, we apply the model to childhood deprivation in Mozambique....
Wringing out better Bell inequalities
International Nuclear Information System (INIS)
Braunstein, S.L.; Caves, C.M.
1989-01-01
Local realism implies constraints on the statistics of two physically separated systems. These constraints, known collectively as Bell inequalities, can be violated by quantum mechanics. We generalize the standard Bell inequalities in two ways: first, by 'chaining' the Clauser-Horne-Shimony-Holt Bell inequality for two-state systems and, second, by formulating information-theoretic Bell inequalities that apply to any pair of systems. (orig.)
Quantum mechanics and Bell's inequalities
International Nuclear Information System (INIS)
Jones, R.T.; Adelberger, E.G.
1994-01-01
Santos argues that, if one interprets probabilities as ratios of detected events to copies of the physical system initially prepared, the quantum mechanical predictions for the classic tests of Bell's inequalities do not violate the inequalities. Furthermore, he suggests that quantum mechanical states which do violate the inequalities are not physically realizable. We discuss a physically realizable experiment, meeting his requirements, where quantum mechanics does violate the inequalities
Gender Inequality Index Appropriateness for Measuring Inequality.
Amin, Elham; Sabermahani, Asma
2017-01-01
Gender inequality means unequal distribution of wealth, power, and benefits among women and men. The gender inequality index (GII) measures the lost human development in three important dimensions: reproductive health, political empowerment, and economic status. The first purpose of this study was to calculate the index for provinces of Iran, and the second purpose was to survey the appropriateness of that, for comparing different regions, through regression estimations. In this study, GII has been calculated for Iran between the years 2006-2011 and provinces have been ranked based on it. Then, a panel composed of 30 sections was estimated for five years to determine the most important factor affecting level of index. Some changes have been made to analyze values of the index and the ranking of provinces. Based on panel model, share of parliamentary seats was the most effective factor for determination of the index. After applying adjustments, some differences were seen in the ranking of provinces and general level of index. Weighing of dimensions of the index and considering an overall variable, such as life expectancy in the field of health, will give a more accurate comparison of the GII among different regions though concurrent attention to non-discriminatory cultural dimensions of political participation of women; therefore, making more analyses possible for a more correct comparison of the extensive geographical regions, such as countries.
Lorentz-invariant Bell's inequality
International Nuclear Information System (INIS)
Kim, Won Tae; Son, Edwin J.
2005-01-01
We study Bell's inequality in relation to the Einstein-Podolsky-Rosen paradox in the relativistic regime. For this purpose, a relativistically covariant analysis is used in the calculation of the Bell's inequality, which results in the maximally violated Bell's inequality in any reference frame
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…
Isoperimetric inequalities for minimal graphs
International Nuclear Information System (INIS)
Pacelli Bessa, G.; Montenegro, J.F.
2007-09-01
Based on Markvorsen and Palmer's work on mean time exit and isoperimetric inequalities we establish slightly better isoperimetric inequalities and mean time exit estimates for minimal graphs in N x R. We also prove isoperimetric inequalities for submanifolds of Hadamard spaces with tamed second fundamental form. (author)
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...... under rightwing governments. This may provide a qualification to recent studies of inequality....
On weighted dyadic Carleson's inequalities
Directory of Open Access Journals (Sweden)
Tachizawa K
2001-01-01
Full Text Available We give an alternate proof of weighted dyadic Carleson's inequalities which are essentially proved by Sawyer and Wheeden. We use the Bellman function approach of Nazarov and Treil. As an application we give an alternate proof of weighted inequalities for dyadic fractional maximal operators. A result on weighted inequalities for fractional integral operators is given.
Directory of Open Access Journals (Sweden)
Sirada Pinjai
2013-01-01
Full Text Available This paper is concerned with the problem of robust exponential stability for linear parameter-dependent (LPD neutral systems with mixed time-varying delays and nonlinear perturbations. Based on a new parameter-dependent Lyapunov-Krasovskii functional, Leibniz-Newton formula, decomposition technique of coefficient matrix, free-weighting matrices, Cauchy’s inequality, modified version of Jensen’s inequality, model transformation, and linear matrix inequality technique, new delay-dependent robust exponential stability criteria are established in terms of linear matrix inequalities (LMIs. Numerical examples are given to show the effectiveness and less conservativeness of the proposed methods.
Inequality in health versus inequality in lifestyle choices
Directory of Open Access Journals (Sweden)
Arnstein Øvrum
2015-10-01
Full Text Available Repeated Norwegian cross-sectional data for the period 2005 to 2011 are used to compare sources of inequality in health, as represented by self-assessed health and obesity, with sources of inequality in lifestyles that are central to the production of health, as represented by physical activity, cigarette smoking and dietary behavior. Sources of overall inequality and socioeconomic inequality in these lifestyle and health indicators are compared by estimating probit models, and by decomposing the explained part of the associated Gini and concentration indices with respect to education and income. As potential sources of inequality, we consider education, income, occupation, age, gender, marital status, psychological traits and childhood circumstances. Our results suggest that sources of inequality in health are not necessarily representative of sources of inequality in underlying lifestyles. While education is generally an important source of overall inequality in both lifestyles and health, income is unimportant in all lifestyle indicators except physical activity. In several cases, education and income are clearly outranked by other factors in terms of explaining overall inequality, such as gender in eating fruits and vegetables and age in fish consumption. These results suggest that it is important to decompose both overall inequality and socioeconomic inequality in different lifestyle and health indicators. In indicators where other factors than education and income are clearly most important, policy makers should consider to target these factors to efficiently improve overall population health.
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...
Higher Education and Inequality
Brown, Roger
2018-01-01
After climate change, rising economic inequality is the greatest challenge facing the advanced Western societies. Higher education has traditionally been seen as a means to greater equality through its role in promoting social mobility. But with increased marketisation higher education now not only reflects the forces making for greater 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
Yang, Y.; Onderstal, S.; Schram, A.
2012-01-01
We provide the first systematic study of the robustness of parameter estimates for the Fehr-Schmidt (1999) model of inequity aversion with respect to (i) the occurrence of efficiency concerns; (ii) the scale of payoffs; and (iii) the game used (i.e., cross-game consistency). Moreover, we provide
DEFF Research Database (Denmark)
Chomba, Susan Wangui; Kariuki, Juliet; Lund, Jens Friis
2016-01-01
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...
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…
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...
Analysis of income inequalities
Czech Academy of Sciences Publication Activity Database
Federičová, Miroslava
2011-01-01
Roč. 9, 7-8 (2011), s. 13-15 ISSN 1214-1720 R&D Projects: GA ČR GA403/08/0109 Institutional research plan: CEZ:AV0Z70280505 Keywords : inequalities * Europe * labour market Subject RIV: AO - Sociology, Demography http://www.socioweb.cz/index.php?disp=teorie&shw=478&lst=117
Looking for symmetric Bell inequalities
International Nuclear Information System (INIS)
Bancal, Jean-Daniel; Gisin, Nicolas; Pironio, Stefano
2010-01-01
Finding all Bell inequalities for a given number of parties, measurement settings and measurement outcomes is in general a computationally hard task. We show that all Bell inequalities which are symmetric under the exchange of parties can be found by examining a symmetrized polytope which is simpler than the full Bell polytope. As an illustration of our method, we generate 238 885 new Bell inequalities and 1085 new Svetlichny inequalities. We find, in particular, facet inequalities for Bell experiments involving two parties and two measurement settings that are not of the Collins-Gisin-Linden-Massar-Popescu type.
Looking for symmetric Bell inequalities
Energy Technology Data Exchange (ETDEWEB)
Bancal, Jean-Daniel; Gisin, Nicolas [Group of Applied Physics, University of Geneva, 20 rue de l' Ecole-de Medecine, CH-1211 Geneva 4 (Switzerland); Pironio, Stefano, E-mail: jean-daniel.bancal@unige.c [Laboratoire d' Information Quantique, Universite Libre de Bruxelles (Belgium)
2010-09-24
Finding all Bell inequalities for a given number of parties, measurement settings and measurement outcomes is in general a computationally hard task. We show that all Bell inequalities which are symmetric under the exchange of parties can be found by examining a symmetrized polytope which is simpler than the full Bell polytope. As an illustration of our method, we generate 238 885 new Bell inequalities and 1085 new Svetlichny inequalities. We find, in particular, facet inequalities for Bell experiments involving two parties and two measurement settings that are not of the Collins-Gisin-Linden-Massar-Popescu type.
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...
Globalization, Inequality & International Economic Law
Directory of Open Access Journals (Sweden)
Frank J. Garcia
2017-04-01
Full Text Available International law in general, and international economic law in particular, to the extent that either has focused on the issue of inequality, has done so in terms of inequality between states. Largely overlooked has been the topic of inequality within states and how international law has influenced that reality. From the perspective of international economic law, the inequality issue is closely entwined with the topics of colonialism and post-colonialism, the proper meaning of development, and globalization. While international economic law has undoubtedly contributed to the rise of inequality, it is now vital that the subject of international economic law be examined for how it may contribute to the lessening of inequality. To do so will require a shift in the way that we think, in order to address inequality as a problem of an emerging global market society, and how best to regulate that society and its institutions.
Franklin, Joel N
2003-01-01
Mathematically rigorous introduction covers vector and matrix norms, the condition-number of a matrix, positive and irreducible matrices, much more. Only elementary algebra and calculus required. Includes problem-solving exercises. 1968 edition.
Violating Bell inequalities maximally for two d-dimensional systems
International Nuclear Information System (INIS)
Chen Jingling; Wu Chunfeng; Oh, C. H.; Kwek, L. C.; Ge Molin
2006-01-01
We show the maximal violation of Bell inequalities for two d-dimensional systems by using the method of the Bell operator. The maximal violation corresponds to the maximal eigenvalue of the Bell operator matrix. The eigenvectors corresponding to these eigenvalues are described by asymmetric entangled states. We estimate the maximum value of the eigenvalue for large dimension. A family of elegant entangled states |Ψ> app that violate Bell inequality more strongly than the maximally entangled state but are somewhat close to these eigenvectors is presented. These approximate states can potentially be useful for quantum cryptography as well as many other important fields of quantum information
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)
Blank, N; Diderichsen, Finn
1996-01-01
would have been expected on the assumption of additivity of the singular effects of these variables. It is suggested that it is necessary to highlight in further research the complex interactions and pathways between factors associated with health outcomes to improve our understanding of the causal...... 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....... At the same time, differential exposures and differential responses to risk factors between socio-economic classes for certain health outcomes are determined. The joint effect on general health status, seven years later, of being a manual worker and having reported psychosomatic symptoms is 113% greater than...
Globalization, Inequality, and Corruption
Harald Badinger; Elisabeth Nindl
2012-01-01
This paper presents new empirical evidence on the determinants of corruption, focussing on the role of globalization and inequality. The estimates for a panel of 102 countries over the period 1995-2005 point to three main results: i) Detection technologies, reflected in a high level of development, human capital, and political rights reduce corruption, whereas natural resource rents increase corruption. ii) Globalization (in terms of both trade and financial openness) has a neg...
International trade and inequality
Urata, Sh¯ujir¯o; Narjoko, Dionisius A.
2017-01-01
The impact of globalization on equality has become a serious concern for many countries. More evidence that challenges the theoretical prediction of positive impact of international trade on income distribution has increasingly become available recently. This paper addresses this subject, surveying the empirical findings on the impact of international trade on inequalities from various perspectives. The survey reveals that an increase in trade openness by developing countries appears to have ...
Financial Globalization and Inequality
Kunieda, Takuma
2008-01-01
This paper investigates how financial globalization and financial development affect income inequality within a country. We demonstrate that when a country is financially closed to the world market, the Gini coefficient is monotonically decreasing with respect to the degree of financial development, whereas when a country becomes so small due to financial globalization that financial development in the country does not affect the world interest rate, the Gini coefficient is monotonically incr...
Dynamics of Multi-Scale Intra-Provincial Regional Inequality in Zhejiang, China
Directory of Open Access Journals (Sweden)
Wenze Yue
2014-08-01
Full Text Available This paper investigates regional inequality in a multi-scale framework, using Exploratory Spatial Data Analysis, based on the per capita Gross Domestic Product (GDP of counties and municipalities within the Zhejiang province in China between the years of 1990 and 2010. A Spatial Markov Chain is used to identify the dynamics of regional wealth disparity in Zhejiang. The results show that the regional inequality of Zhejiang is sensitive to the geographic scale of the analysis. In addition, the inter-county inequality shows an inverted-U shape pattern. At the same time, the inter-municipality inequality displays a more consistently upward trend, and the evolution of the interregional inequality is relatively stable over time. The regional inequality is more significant at finer (larger spatial scales. The decomposition of the Theil Index shows that the contribution of the inequalities between Northeast Zhejiang and Southwest Zhejiang increased. The increasingly larger values of the Global Moran’s I show that there is an intensifying spatial aggregation of economic development. The comparison of the traditional Markov transition matrix and the Spatial Markov transition matrix illustrates how the relative wealth or poverty of neighboring counties make a significance difference in wealth in a given county as measured using domestic GDP per capita in Zhejiang province. This space-time analysis is valuable for policy making towards sustainable economic development in China given the soaring spatial inequality.
Limitation on Bell's inequality
Energy Technology Data Exchange (ETDEWEB)
Buonomano, V [Universidade Estadual de Campinas (Brazil). Inst. de Matematica
1978-01-01
It is shown that Bell's Inequality does not characterize all local hidden variable explanations of the polarization correlation experiments. If one considers theories in which a single polarization measurement is not independent of previous particle-polarizer interactions then it is possible to manufacture local hidden variable theories which agree with quantum mechanics for any of the experiments performed to date. A relevant property here is ergodicity, and we can say that Bell's Inequality characterizes all ergodic local hidden variable theories (i.e., all local theories that give the same time and ensemble average) but not all non-ergodic local hidden variable theories. It is further shown that the most physically reasonable class of non-ergodic local hidden variable theories must also satisfy Bell's Inequality. It might be concluded from this article that if one insists on believing in both local hidden variable theories and the polarization correlation experiments supporting quantum mechanics then one must also believe in the existence of a field, medium or ether that permeates space and has relatively stable states (memory).
International Nuclear Information System (INIS)
Hubacek, Klaus; Baiocchi, Giovanni; Feng, Kuishuang; Munoz Castillo, Raul; Sun, Laixiang; Xue, Jinjun
2017-01-01
Global climate change and inequality are inescapably linked both in terms of who contributes climate change and who suffers the consequences. This fact is also partly reflected in two United Nations (UN) processes: on the one hand, the Paris Agreement of the UN Framework Convention on Climate Change under which countries agreed to hold the increase in the global average temperature to below 2 C above pre-industrial levels and, on the other hand, the UN's Sustainable Development Goals aiming to end poverty. These agreements are seen as important foundation to put the world nations on a sustainable pathway. However, how these agreements can be achieved or whether they are even mutually compatible is less clear. We explore the global carbon inequality between and within countries and the carbon implications of poverty alleviation by combining detailed consumer expenditure surveys for different income categories for a wide range of countries with an environmentally extended multi-regional input-output approach to estimate carbon footprints of different household groups, globally, and assess the carbon implications of moving the poorest people out of poverty. Given the current context, increasing income leads to increasing carbon footprints and makes global targets for mitigating greenhouse gases more difficult to achieve given the pace of technological progress and current levels of fossil fuel dependence. We conclude that the huge level of carbon inequality requires a critical discussion of undifferentiated income growth. Current carbon-intensive lifestyles and consumption patterns need to enter the climate discourse to a larger extent. (orig.)
Some Nonlinear Dynamic Inequalities on Time Scales
Indian Academy of Sciences (India)
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 ...
More on operator Bellman inequality | Mirzapour | Quaestiones ...
African Journals Online (AJOL)
We present a Bellman inequality involving operator means for operators acting on a Hilbert space. We also give some Bellman inequalities concerning sesquilinear forms. Finally, we re ne the Jensen's operator inequality and use it for obtaining a re nement of the Bellman operator inequality. Keywords: Bellman inequality ...
Inequality, poverty and development.
Ahluwalia, M S
1976-12-01
Dicussion explores the nature of the relationship between the distribution of income and the process of development on the basis of cross country data on income inequality. The results presented are based on a sample of 60 countries, including 40 developing countries, 14 developed countries, and 6 socialist countries. The approach adopted is essentially exploratory. Multivariate regression analysis was used to estimate cross country relationships between the income shares of different percentile groups and selected variables reflecting aspects of the development process which are likely to influence income inequality. The estimated equations are then used as a basis for broad generalizations about the relationship between income distribution and development. There was strong support for the proposition that relative inequaltiy increases substantially in the early stages of development, with a reversal of this tendency in the later stages. The propositions held whether the sample was restricted to developing countries or expanded to include developed and socialist countries. The process was most prolonged for the poorest group. There were a number of processes occurring "pari passu" with development which were correlated with income inequality and which can plausibly be interpreted as causal. These were intersectoral shifts in the structure of production, expansion in education attainment and skill level of the labor force; and reduction in the growth of population. The operation of these processes appeared to explain some of the improvement in income distribution observed in the later stages of development, but they did not serve to explain the marked deterioration observed in the earlier stages. The cross section results failed to support the stronger hypothesis that the deterioration in relative inequality reflected a prolonged absolute impoverishment of large sections of the population in the course of development. The cross country pattern showed average
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...
Directory of Open Access Journals (Sweden)
Joko Purwanto
2016-06-01
Full Text Available Social and economic inequalities have sharpened in the late 20th century. During this period, Europe has witnessed a rising unemployment rate, a declining wages for the least qualified workers, a slowing of income growth, and an increasing gap between the richest and the poorest. Based on the hypothesis of the relation between socio-economic condition and mobility behaviour, it is necessary to ask how these socio-economic inequalities manifest themselves in transportation: does a rise in income inequality lead to a rise in transportation inequality and mobility practice inequality? This question is particularly relevant today as some European countries are facing high socio-economic inequalities following the financial crisis that started in 2008. Using results from transport, car ownership and mobility surveys as well as household surveys from the Paris (Île-de-France region between eighties and late nineties, this paper tries to answer this question. The results show how inequalities in transportation and mobility practice have decreased during the period in spite of an increase in income inequalities. We find that the evolution of socio-economic inequality, most specifically income inequality was simply one of the determining factors of the evolution of inequalities in transportation and mobility practice. In fact, the most important role in that evolution is not played by the evolution of income inequality but by the evolution of elasticity between transportation and income. Reducing the effects of this elasticity should be the main target of transport policies to diminish inequality in transportation and mobility practice.
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...performance report PI: Greg Ver Steeg Young Investigator Award Grant Title: Bell Inequalities for Complex Networks Grant #: FA9550-12-1-0417 Reporting...October 20, 2015 Final Report for “Bell Inequalities for Complex Networks” Greg Ver Steeg Abstract This effort studied new methods to understand the effect
Non-commutative Nash inequalities
International Nuclear Information System (INIS)
Kastoryano, Michael; Temme, Kristan
2016-01-01
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 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
Against inequality Contra la desigualdad
Dugger William
1998-01-01
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
...
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 ...
Globalization and Income Inequality Revisited
Dorn, Florian; Fuest, Clemens; Potrafke, Niklas
2018-01-01
This paper re-examines the link between globalization and income inequality. We use data for 140 countries over the period 1970-2014 and employ an IV approach to deal with the endogeneity of globalization measures. We find that the link between globalization and income inequality differs across different groups of countries. There is a robust positive relationship between globalization and inequality in the transition countries including China and most countries of Middle and Eastern Europe. ...
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.
Geometric inequalities for black holes
International Nuclear Information System (INIS)
Dain, Sergio
2013-01-01
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)
Multipartite omnidirectional generalized Bell inequality
International Nuclear Information System (INIS)
Nagata, Koji
2007-01-01
We derive a multipartite generalized Bell inequality which involves the entire range of settings for each of the local observers. Especially, it is applied to show non-local behavior of a six-qubit mixture of Greenberger-Horne-Zeilinger correlations stronger than previous Bell inequalities. For certain noise admixture to the correlations an explicit local realistic model exists in the case of a standard Bell experiment. Bell experiments with many local settings reveal the non-locality of the state. It turns out that the new inequality is more stringent than many other Bell inequalities in the specific quantum state
Multipartite omnidirectional generalized Bell inequality
Energy Technology Data Exchange (ETDEWEB)
Nagata, Koji [Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 305-701 (Korea, Republic of)
2007-10-26
We derive a multipartite generalized Bell inequality which involves the entire range of settings for each of the local observers. Especially, it is applied to show non-local behavior of a six-qubit mixture of Greenberger-Horne-Zeilinger correlations stronger than previous Bell inequalities. For certain noise admixture to the correlations an explicit local realistic model exists in the case of a standard Bell experiment. Bell experiments with many local settings reveal the non-locality of the state. It turns out that the new inequality is more stringent than many other Bell inequalities in the specific quantum state.
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)
Passivity of memristive BAM neural networks with leakage and additive time-varying delays
Wang, Weiping; Wang, Meiqi; Luo, Xiong; Li, Lixiang; Zhao, Wenbing; Liu, Linlin; Ping, Yuan
2018-02-01
This paper investigates the passivity of memristive bidirectional associate memory neural networks (MBAMNNs) with leakage and additive time-varying delays. Based on some useful inequalities and appropriate Lyapunov-Krasovskii functionals (LKFs), several delay-dependent conditions for passivity performance are obtained in linear matrix inequalities (LMIs). Moreover, the leakage delays as well as additive delays are considered separately. Finally, numerical simulations are provided to demonstrate the feasibility of the theoretical results.
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.
Bipartite Bell Inequality and Maximal Violation
International Nuclear Information System (INIS)
Li Ming; Fei Shaoming; Li-Jost Xian-Qing
2011-01-01
We present new bell inequalities for arbitrary dimensional bipartite quantum systems. The maximal violation of the inequalities is computed. The Bell inequality is capable of detecting quantum entanglement of both pure and mixed quantum states more effectively. (general)
From the Triangle Inequality to the Isoperimetric Inequality
Indian Academy of Sciences (India)
IAS Admin
Calculus of variations, shape optimization, isoperimetric prob- lems. Figure 1. Starting from the triangle inequality, we will dis- cuss a series of shape optimization problems us- ing elementary geometry and ultimately derive the classical isoperimetric inequality in the plane. One of the important results we learn in plane geom ...
From the Triangle Inequality to the Isoperimetric Inequality
Indian Academy of Sciences (India)
Home; Journals; Resonance – Journal of Science Education; Volume 19; Issue 2. From the Triangle Inequality to the Isoperimetric Inequality. S Kesavan. General Article Volume 19 Issue 2 February 2014 pp 135-148. Fulltext. Click here to view fulltext PDF. Permanent link:
Energy Technology Data Exchange (ETDEWEB)
Hubacek, Klaus [University of Maryland, Department of Geographical Sciences, College Park, MD (United States); Masaryk University, Department of Environmental Studies, Brno (Czech Republic); Baiocchi, Giovanni [University of Maryland, Department of Geographical Sciences, College Park, MD (United States); University of Maryland, Department of Economics, College Park, MD (United States); Feng, Kuishuang [University of Maryland, Department of Geographical Sciences, College Park, MD (United States); Munoz Castillo, Raul [University of Maryland, Department of Geographical Sciences, College Park, MD (United States); Interamerican Development Bank, Washington, DC (United States); Sun, Laixiang [University of Maryland, Department of Geographical Sciences, College Park, MD (United States); SOAS, University of London, London (United Kingdom); International Institute for Applied Systems Analysis (IIASA), Laxenburg (Austria); Xue, Jinjun [Nagoya University, Graduate School of Economics, Nagoya (Japan); Hubei University of Economics, Wuhan (China)
2017-12-01
Global climate change and inequality are inescapably linked both in terms of who contributes climate change and who suffers the consequences. This fact is also partly reflected in two United Nations (UN) processes: on the one hand, the Paris Agreement of the UN Framework Convention on Climate Change under which countries agreed to hold the increase in the global average temperature to below 2 C above pre-industrial levels and, on the other hand, the UN's Sustainable Development Goals aiming to end poverty. These agreements are seen as important foundation to put the world nations on a sustainable pathway. However, how these agreements can be achieved or whether they are even mutually compatible is less clear. We explore the global carbon inequality between and within countries and the carbon implications of poverty alleviation by combining detailed consumer expenditure surveys for different income categories for a wide range of countries with an environmentally extended multi-regional input-output approach to estimate carbon footprints of different household groups, globally, and assess the carbon implications of moving the poorest people out of poverty. Given the current context, increasing income leads to increasing carbon footprints and makes global targets for mitigating greenhouse gases more difficult to achieve given the pace of technological progress and current levels of fossil fuel dependence. We conclude that the huge level of carbon inequality requires a critical discussion of undifferentiated income growth. Current carbon-intensive lifestyles and consumption patterns need to enter the climate discourse to a larger extent. (orig.)
The Grothendieck inequality revisited
Blei, Ron
2014-01-01
The classical Grothendieck inequality is viewed as a statement about representations of functions of two variables over discrete domains by integrals of two-fold products of functions of one variable. An analogous statement is proved, concerning continuous functions of two variables over general topological domains. The main result is the construction of a continuous map \\Phi from l^2(A) into L^2(\\Omega_A, \\mathbb{P}_A), where A is a set, \\Omega_A = \\{-1,1\\}^A, and \\mathbb{P}_A is the uniform probability measure on \\Omega_A.
Exponential synchronization of the Genesio-Tesi chaotic system via a novel feedback control
International Nuclear Information System (INIS)
Park, Ju H
2007-01-01
A novel feedback control scheme is proposed for exponential synchronization of the Genesio-Tesi chaotic system. The feedback controller consists of two parts: a linear dynamic control law and a nonlinear control one. For exponential synchronization between the drive and response Genesio-Tesi systems, the Lyapunov stability analysis is used. Then an existence criterion for the stabilizing controller is presented in terms of linear matrix inequalities (LMIs). The LMIs can be solved easily by various convex optimization algorithms. Finally, a numerical simulation is illustrated to show the effectiveness of the proposed chaos synchronization scheme
Using spectral element method to solve variational inequalities with applications in finance
International Nuclear Information System (INIS)
Moradipour, M.; Yousefi, S.A.
2015-01-01
Under the Black–Scholes model, the value of an American option solves a time dependent variational inequality problem (VIP). In this paper, first we discretize the variational inequality of American option in temporal direction by applying the Rannacher time stepping and achieve a sequence of elliptic variational inequalities. Second we discretize the spatial domain of variational inequalities by using spectral element methods with high order Lagrangian polynomials introduced on Gauss–Legendre–Lobatto points. Also by computing integrals by the Gauss–Legendre–Lobatto quadrature rule we derive a sequence of the linear complementarity problems (LCPs) having a positive definite sparse coefficient matrix. To find the unique solutions of the LCPs, we use the projected successive over-relaxation (PSOR) algorithm. Furthermore we present some existence and uniqueness theorems for the variational inequalities and LCPs. Finally, theoretical results are verified on the relevant numerical examples.
Economic Factors of Russian Inequality
Bobkov, Vyacheslav N.; Vakhtina, Margarita A.; Simonova, Marina V.
2016-01-01
The relevance of the researched problem is connected with the high level of economic inequality in Russia. The article goal is to show that the current Russian institutional system is not directed to decrease the economic inequality but on the contrary it continues to make and deepen it. The leading approach to study of this problem is the…
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…
Reinterpreting between-group inequality
Elbers, C.T.M.; Lanjouw, P.F.; Mistiaen, J.; Özler, B
2008-01-01
We evaluate observed inequality between population groups against a benchmark of the maximum between-group inequality attainable given the number and relative sizes of those groups under examination. Because our measure is normalized by these parameters, drawing comparisons across different settings
Three Centuries of American Inequality.
Lindert, Peter H.; Williamson, Jeffrey G.
Income inequality in the United States displays considerable variance since the seventeenth century. There is no eternal constancy to the degree of inequality in total income, in labor earnings, or in income from conventional nonhuman wealth either before or after the effects of government taxes and spending. When all the necessary adjustments to…
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.
The Geography of Gender Inequality.
Directory of Open Access Journals (Sweden)
Brendan Fisher
Full Text Available 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.
Bell inequalities for random fields
Energy Technology Data Exchange (ETDEWEB)
Morgan, Peter [Physics Department, Yale University, CT 06520 (United States)
2006-06-09
The assumptions required for the derivation of Bell inequalities are not satisfied for random field models in which there are any thermal or quantum fluctuations, in contrast to the general satisfaction of the assumptions for classical two point particle models. Classical random field models that explicitly include the effects of quantum fluctuations on measurement are possible for experiments that violate Bell inequalities.
Bell inequalities for random fields
Morgan, Peter
2004-01-01
The assumptions required for the derivation of Bell inequalities are not usually satisfied for random fields in which there are any thermal or quantum fluctuations, in contrast to the general satisfaction of the assumptions for classical two point particle models. Classical random field models that explicitly include the effects of quantum fluctuations on measurement are possible for experiments that violate Bell inequalities.
Microscopic and macroscopic bell inequalities
International Nuclear Information System (INIS)
Santos, E.
1984-01-01
The Bell inequalities, being derived for micro-systems, cannot be tested by (macroscopic) experiments without additional assumptions. A macroscopic definition of local realism is proposed which might be the starting point for deriving Bell inequalities testable without auxiliary assumptions. (orig.)
Nonlocal interactions and Bell's inequality
International Nuclear Information System (INIS)
Garuccio, A.; Selleri, F.
1976-01-01
It is shown that natural extensions of the local hidden variable theories to include nonlocal effects still lead to a full validity of Bell's inequality. It is conjectured that the essential point expressed by this inequality is not locality, but the wave-particle dualism
Strongly nonlinear parabolic variational inequalities.
Browder, F E; Brézis, H
1980-02-01
An existence and uniqueness result is established for a general class of variational inequalities for parabolic partial differential equations of the form partial differentialu/ partial differentialt + A(u) + g(u) = f with g nondecreasing but satisfying no growth condition. The proof is based upon a type of compactness result for solutions of variational inequalities that should find a variety of other applications.
The use of Lyapunov differential inequalities for estimating the transients of mechanical systems
Alyshev, A. S.; Dudarenko, N. A.; Melnikov, V. G.; Melnikov, G. I.
2018-05-01
In this paper we consider an autonomous mechanical system in a finite neighborhood of the zero of the phase space of states. The system is given as a matrix differential equation in the Cauchy form with the right-hand side of the polynomial structure. We propose a method for constructing a sequence of linear inhomogeneous differential inequalities for Lyapunov functions. As a result, we obtain estimates of transient processes in the form of functional inequalities.
Universal patterns of inequality
Banerjee, Anand; Yakovenko, Victor M.
2010-07-01
Probability distributions of money, income and energy consumption per capita are studied for ensembles of economic agents. The principle of entropy maximization for partitioning of a limited resource gives exponential distributions for the investigated variables. A non-equilibrium difference of money temperatures between different systems generates net fluxes of money and population. To describe income distribution, a stochastic process with additive and multiplicative components is introduced. The resultant distribution interpolates between exponential at the low end and power law at the high end, in agreement with the empirical data for the USA. We show that the increase in income inequality in the USA originates primarily from the increase in the income fraction going to the upper tail, which now exceeds 20% of the total income. Analyzing the data from the World Resources Institute, we find that the distribution of energy consumption per capita around the world can be approximately described by the exponential function. Comparing the data for 1990, 2000 and 2005, we discuss the effect of globalization on the inequality of energy consumption.
How education determine wage inequality
Directory of Open Access Journals (Sweden)
PhD. Student Ionuț Constantin
2009-12-01
Full Text Available One of the problems the economy of the past 50 years has been generated by the increase to differences in income between workers with a level of preparedness higher compared to those with a poor level of training. There is a view that education can lead to greater inequality of income. Analyzing the current situation of increasing inequalities in most developed societies in which there is a high level of education, with schools that are financed by public funds, we can reach the conclusion that a labor force educated young will be associated with an increase in inequality of income, so education does not reduce social inequality, reducing inequality is necessary for the education of the active population is high but one uniform
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 curricula. We consider the formal mathematical processes by which such inequalities are solved, and we consider the notation and syntax through which solutions are expressed. We review the extent to which current CAS can accurately solve these inequalities, and the form given to the solutions by the designers of this software. Finally, we discuss the functionality needed to deal with students' answers, i.e. to establish equivalence (or otherwise) of expressions representing unions of intervals. We find that while contemporary CAS accurately solve inequalities there is a wide variety of notation used.
(Mis)perceptions of inequality.
Hauser, Oliver P; Norton, Michael I
2017-12-01
Laypeople's beliefs about the current distribution of outcomes such as income and wealth in their country influence their attitudes toward issues ranging from taxation to healthcare - but how accurate are these beliefs? We review the burgeoning literature on (mis)perceptions of inequality. First, we show that people on average misperceive current levels of inequality, typically underestimating the extent of inequality in their country. Second, we delineate potential causes of these misperceptions, including people's overreliance on cues from their local environment, leading to their erroneous beliefs about both the overall distributions of wealth and income and their place in those distributions. Third, we document that these (mis)perceptions of inequality - but not actual levels of inequality - drive behavior and preferences for redistribution. More promisingly, we review research suggesting that correcting misperceptions influences preferences and policy outcomes. Copyright © 2017 Elsevier Ltd. All rights reserved.
A Globally Convergent Parallel SSLE Algorithm for Inequality Constrained Optimization
Directory of Open Access Journals (Sweden)
Zhijun Luo
2014-01-01
Full Text Available A new parallel variable distribution algorithm based on interior point SSLE algorithm is proposed for solving inequality constrained optimization problems under the condition that the constraints are block-separable by the technology of sequential system of linear equation. Each iteration of this algorithm only needs to solve three systems of linear equations with the same coefficient matrix to obtain the descent direction. Furthermore, under certain conditions, the global convergence is achieved.
Bodewig, E
1959-01-01
Matrix Calculus, Second Revised and Enlarged Edition focuses on systematic calculation with the building blocks of a matrix and rows and columns, shunning the use of individual elements. The publication first offers information on vectors, matrices, further applications, measures of the magnitude of a matrix, and forms. The text then examines eigenvalues and exact solutions, including the characteristic equation, eigenrows, extremum properties of the eigenvalues, bounds for the eigenvalues, elementary divisors, and bounds for the determinant. The text ponders on approximate solutions, as well
Fuzzy attitude control of solar sail via linear matrix inequalities
Baculi, Joshua; Ayoubi, Mohammad A.
2017-09-01
This study presents a fuzzy tracking controller based on the Takagi-Sugeno (T-S) fuzzy model of the solar sail. First, the T-S fuzzy model is constructed by linearizing the existing nonlinear equations of motion of the solar sail. Then, the T-S fuzzy model is used to derive the state feedback controller gains for the Twin Parallel Distributed Compensation (TPDC) technique. The TPDC tracks and stabilizes the attitude of the solar sail to any desired state in the presence of parameter uncertainties and external disturbances while satisfying actuator constraints. The performance of the TPDC is compared to a PID controller that is tuned using the Ziegler-Nichols method. Numerical simulation shows the TPDC outperforms the PID controller when stabilizing the solar sail to a desired state.
Socioeconomic Inequality in Childhood Obesity.
Moradi, Ghobad; Mostafavi, Farideh; Azadi, Namamali; Esmaeilnasab, Nader; Ghaderi, Ebrahim
2017-08-15
The aim of this study was to assess the socioeconomic inequalities in obesity and overweight in children aged 10 to 12 yr old. A cross-sectional study. This study was conducted on 2506 children aged 10 to 12 yr old in the city of Sanandaj, western Iran in 2015. Body mass index (BMI) was calculated. Considering household situation and assets, socioeconomic status (SES) of the subjects was determined using Principal Component Analysis (PCA). Concentration Index was used to measure inequality and Oaxaca decomposition was used to determine the share of different determinants of inequality. The prevalence of overweight was 24.1% (95% CI: 22.4, 25.7). 11.5% (95% CI: 10.0, 12.0) were obese. The concentration index for overweight and obesity, respectively, was 0.10 (95% CI: 0.05, 0.15), and 0.07 (95% CI:0.00, 0.14) which indicated inequality and a higher prevalence of obesity and overweight in higher SES. The results of Oaxaca decomposition suggested that socioeconomic factors accounted for 75.8% of existing inequalities. Residential area and mother education were the most important causes of inequality. To reduce inequalities in childhood obesity, mother education must be promoted and special attention must be paid to residential areas and children gender.
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
Health Inequalities in Global Context
Beckfield, Jason; Olafsdottir, Sigrun
2017-01-01
The existence of social inequalities in health is well established. One strand of research focuses on inequalities in health within a single country. A separate and newer strand of research focuses on the relationship between inequality and average population health across countries. Despite the theorization of (presumably variable) social conditions as “fundamental causes” of disease and health, the cross-national literature has focused on average, aggregate population health as the central outcome. Controversies currently surround macro-structural determinants of overall population health such as income inequality. We advance and redirect these debates by conceptualizing inequalities in health as cross-national variables that are sensitive to social conditions. Using data from 48 World Values Survey countries, representing 74% of the world’s population, we examine cross-national variation in inequalities in health. The results reveal substantial variation in health inequalities according to income, education, sex, and migrant status. While higher socioeconomic position is associated with better self-rated health around the globe, the size of the association varies across institutional context, and across dimensions of stratification. There is some evidence that education and income are more strongly associated with self-rated health than sex or migrant status. PMID:29104292
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)
Guldager, Rikke; Poulsen, Ingrid
OBJECTIVES: The overall Ph.d.-study aims to investigate rehabilitation trajectories in adult patients with traumatic brain injury (TBI) and stroke, and to describe mechanisms behind the institutionalized (health care) part of inequality in health with emphasis on interfaces and critical transitions...... from time of accident to twelve month follow-up. The case study aims to explore the process of rehabilitation in a high status patient, related to professions in healthcare. The focus is on how a high status patient is perceived and handled in organizations and among professions, and strategies applied...... by the patient and relatives. METHODS: Observation and qualitative interview has been conducted of one patient following the patients’ trajectories though different phases of the rehabilitation process during admission at Traumatic Brain Unit. Interdisciplinary meetings are regarded as key elements...
International Nuclear Information System (INIS)
Aspect, A.; Ecole Normale Superieure, 75 - Paris
1991-01-01
Testing Bell's inequalities described in the paper 'On the Einstein-Podolsky-Rosen paradox' the conclusions were extremely clear and completely convincing, but there was something special about this paper: it led to two contradictory conclusions. The first part showed that EPR correlations predicted by quantum mechanics are so strong that one can hardly avoid the conclusion that quantum mechanics should be completed by some supplementary parameters (the so-called 'hidden-variables'). But the second part demonstrated that the hidden-variables description in fact contradicts some predictions of quantum mechanics, which is to say both theories predict different results. At the end of the sixties, there was no experimental result to answer the question. The contradiction discovered by John Bell is so subtle that it was necessary to design and build specific experiments. The problems of such experiments are discussed. (R.P.) 7 refs., 4 figs
Income Distribution across Ethnic Groups in Malaysia : Results from a New Social Accounting Matrix
Saari, M. Yusof; Dietzenbacher, Erik; Los, Bart
A new social accounting matrix is constructed for Malaysia for the year 2000 to analyze sources of income inequality among ethnic groups in Malaysia. The analysis reveals that income inequality can be decomposed into the interaction of: (i) hourly wages; (ii) working hours per week; and (iii) number
Spin observables in antiproton-proton to AntiLambda-Lambda and density-matrix constraints
Elchikh, Mokhtar; Richard, Jean-Marc
2005-01-01
The positivity conditions of the spin density matrix constrain the spin observables of the reaction antiproton-proton to AntiLambda-Lambda, leading to model-independent, non-trivial inequalities. The formalism is briefly presented and examples of inequalities are provided.
Spin observables in p-barp → ΛΛ and density-matrix constraints
International Nuclear Information System (INIS)
Elchikh, Mokhtar; Richard, Jean-Marc
2005-01-01
The positivity conditions of the spin density matrix constrain the spin observables of the reaction p-barp → Λ-barΛ, leading to model-independent, non-trivial inequalities. The formalism is briefly presented and examples of inequalities are provided
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
Jensen's operator inequality and its converses
DEFF Research Database (Denmark)
Hansen, Frank; Pecaric, Josip; Peric, Ivan
2007-01-01
We give a general formulation of Jensen's operator inequality for unital fields of positive linear mappings, and we consider different types of converse inequalities......We give a general formulation of Jensen's operator inequality for unital fields of positive linear mappings, and we consider different types of converse inequalities...
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…
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. Copyright © 2014, American Association for the Advancement of Science.
The effects of income inequality
Directory of Open Access Journals (Sweden)
Candidate Ionuţ Constantin
2014-12-01
Full Text Available Over time have been addressed many possible effects arising from inequalities of income. Criticism for each of these effects were immediate, most of them claiming that the selection of samples used to demonstrate the assumptions made were „carefully” selected in order to achieve the target and that there is not a direct relationship between income inequality (their increment and these effects. Of the many effects that income inequalities have, identified in the literature, this paper will analyze three of them, namely: economic growth, human capital and social cohesion.
Correlations in star networks: from Bell inequalities to network inequalities
International Nuclear Information System (INIS)
Tavakoli, Armin; Renou, Marc Olivier; Gisin, Nicolas; Brunner, Nicolas
2017-01-01
The problem of characterizing classical and quantum correlations in networks is considered. Contrary to the usual Bell scenario, where distant observers share a physical system emitted by one common source, a network features several independent sources, each distributing a physical system to a subset of observers. In the quantum setting, the observers can perform joint measurements on initially independent systems, which may lead to strong correlations across the whole network. In this work, we introduce a technique to systematically map a Bell inequality to a family of Bell-type inequalities bounding classical correlations on networks in a star-configuration. Also, we show that whenever a given Bell inequality can be violated by some entangled state ρ , then all the corresponding network inequalities can be violated by considering many copies of ρ distributed in the star network. The relevance of these ideas is illustrated by applying our method to a specific multi-setting Bell inequality. We derive the corresponding network inequalities, and study their quantum violations. (paper)
Homogenization of variational inequalities for obstacle problems
International Nuclear Information System (INIS)
Sandrakov, G V
2005-01-01
Results on the convergence of solutions of variational inequalities for obstacle problems are proved. The variational inequalities are defined by a non-linear monotone operator of the second order with periodic rapidly oscillating coefficients and a sequence of functions characterizing the obstacles. Two-scale and macroscale (homogenized) limiting variational inequalities are obtained. Derivation methods for such inequalities are presented. Connections between the limiting variational inequalities and two-scale and macroscale minimization problems are established in the case of potential operators.
How Mobility Systems Produce Inequality
DEFF Research Database (Denmark)
Richardson, Tim; Jensen, Ole B.
2008-01-01
This paper explores a crucial aspect of sustainable mobility: the production of social inequality in mobility systems. The approach taken is to focus on how, as new transit infrastructures create alternative ways of traveling in and accessing the city, they create changed conditions for the forma......This paper explores a crucial aspect of sustainable mobility: the production of social inequality in mobility systems. The approach taken is to focus on how, as new transit infrastructures create alternative ways of traveling in and accessing the city, they create changed conditions...... for the formation of subject identities. New types of travellers are realised in the newly engineered spaces of mobility. The paper argues that this focus on these emergent mobile subject types can be useful in investigating the social inequalities that can result from the introduction of new infrastructures...... are constructed and how social inequality is materially produced....
Entropy inequalities from reflection positivity
International Nuclear Information System (INIS)
Casini, H
2010-01-01
We investigate the question of whether the entropy and the Renyi entropies of the vacuum state reduced to a region of space can be represented in terms of correlators in quantum field theory. In this case, the positivity relations for the correlators are mapped into inequalities for the entropies. We write them using a real-time version of reflection positivity, which can be generalized to general quantum systems. Using this generalization we can prove an infinite sequence of inequalities which are obeyed by the Renyi entropies of integer index. There is one independent inequality involving any number of different subsystems. In quantum field theory the inequalities acquire a simple geometrical form and are consistent with the integer index Renyi entropies being given by vacuum expectation values of twisting operators in the Euclidean formulation. Several possible generalizations and specific examples are analyzed
Income inequality in today's China.
Xie, Yu; Zhou, Xiang
2014-05-13
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.
Economic inequality predicts biodiversity loss.
Directory of Open Access Journals (Sweden)
Gregory M Mikkelson
Full Text Available 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.
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...
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.
Pricing, renegotiation and gross inequities
Energy Technology Data Exchange (ETDEWEB)
Kirkham, J.S. (Van Cott, Bagley, Cornwall McCarthy, Salt Lake City, UT (USA))
1990-01-01
Reviews pricing, renegotiation and gross inequity provisions of coal supply agreements in order to provide practical assistance to an attorney called upon to draft in written form the intent of buyer and seller. 26 refs.
Health inequalities--gender perspective.
Ostrowska, Antonina
2012-01-01
Health inequalities have become recently one of the major concerns of European health policy. Observed differences in health status of men and women are also frequently discussed within this framework, and are becoming a subject of growing interest of researchers. Clinical and epidemiological researches document male-female health differences, trying to explain them within bio-medical model. However, apart of biological (sex) divergence, health inequalities reflect differences in social roles, social status and culturally established patterns and stereotypes of femininity and masculinity (gender differences). The article, using sociological perspective, attempts to show that observed differences in man's and women's health may be attributable to the differing sociocultural and structural arrangements, social support and lifestyle factors of both genders. As a result, many of these differences are of inequality character. Another dimension of inequality discussed in this article is the way man and women are treated by the institution of medicine.
[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.
Bell's inequalities and Kolmogorov's axioms
Indian Academy of Sciences (India)
Abstract. After recalling proofs of the Bell inequality based on the assumptions of separability and of noncontextuality, the most general noncontextual contrapositive conditional probabilities consistent with the Aspect experiment are constructed. In general these probabilities are not all positive.
Chebyshev splines and Kolmogorov inequalities
National Research Council Canada - National Science Library
Bagdasarov, Sergey
1998-01-01
.... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0.1.2 Cases of the complete solution of the Kolmogorov problem... 0.2 Kolmogorov - Landau problem in the Sobolev class W~+l(I) ... 0.2.1 Inequalities...
Zhang, Xuefeng; Chen, YangQuan
2017-11-01
The paper considers the stabilization issue of linear continuous singular systems by dealing with strict linear matrix inequalities (LMIs) without invoking equality constraint and proposes a complete and effective solved LMIs formulation. The criterion is necessary and sufficient condition and can be directly solved the feasible solutions with LMI toolbox and is much more tractable and reliable in numerical simulation than existing results, which involve positive semi-definite LMIs with equality constraints. The most important property of the criterion proposed in the paper is that it can overcome the drawbacks of the invalidity caused by the singularity of Ω=PE T +SQ for stabilization of singular systems. Two counterexamples are presented to avoid the disadvantages of the existing condition of stabilization of continuous singular systems. Copyright © 2017 ISA. Published by Elsevier Ltd. All rights reserved.
Multipartite omnidirectional generalized Bell inequality
Nagata, Koji
2007-01-01
We derive a multipartite generalized Bell inequality which involves the entire range of settings for each of the local observers. Especially, it is applied to show non-local behavior of a six-qubit mixture of Greenberger-Horne-Zeilinger correlations stronger than previous Bell inequalities. For certain noise admixture to the correlations an explicit local realistic model exists in the case of a standard Bell experiment. Bell experiments with many local settings reveal the non-locality of the ...
Inequalities for nonideal correlation experiments
International Nuclear Information System (INIS)
Fine, A.
1991-01-01
This paper addresses the inefficiency loophole in the Bell theorem. The author examines factorizable stochastic models for the Bell inequalities, where they allow the detection efficiency to depend both on the hidden state of the measured system and also its passage through an analyzer. They show that, nevertheless, if the efficiency functions are symmetric between the two wings of the experiment, one can dispense with supplementary assumptions and derive new inequalities that enable the models to be tested even for highly inefficient experiments
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. .
Experimental violation of entropic inequalities
International Nuclear Information System (INIS)
Bovino, F.A.; Castagnoli, G.; Ekert, A.; Horodecki, P.; Alves, C.M.; Sergienko, A.V.
2005-01-01
Full text: We report the experimental evidence that polarization entangled photons violate the inequality based on Renyi entropy. Our experimental method is based on four-photon coincidences in photon bunching and antibunching effects. We introduce an additional 'phase marking' technique, which allow observing the violation of the inequalities even with non-deterministic sources of entangled photons. Our method can be applied to measure selected non-linear properties of bipartite quantum states, such as purity or entanglement. (author)
Economic Inequality Predicts Biodiversity Loss
Mikkelson, Gregory M.; Gonzalez, Andrew; Peterson, Garry D.
2007-01-01
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 sp...
Broadband Internet and Income Inequality
HOUNGBONON , Georges Vivien; Liang , Julienne
2017-01-01
Policy makers are aiming for a large coverage of high-speed broadband Internet. However , there is still a lack of evidence about its effects on income distribution. In this paper, we investigate the effects of fixed broadband Internet on mean income and income inequality using a unique town-level data on broadband adoption and quality in France. We find that broadband adoption and quality raise mean income and lower income inequality. These results are robust to initial conditions, and yield...
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.
International Nuclear Information System (INIS)
Craps, Ben; Evnin, Oleg; Nguyen, Kévin
2017-01-01
Matrix quantum mechanics offers an attractive environment for discussing gravitational holography, in which both sides of the holographic duality are well-defined. Similarly to higher-dimensional implementations of holography, collapsing shell solutions in the gravitational bulk correspond in this setting to thermalization processes in the dual quantum mechanical theory. We construct an explicit, fully nonlinear supergravity solution describing a generic collapsing dilaton shell, specify the holographic renormalization prescriptions necessary for computing the relevant boundary observables, and apply them to evaluating thermalizing two-point correlation functions in the dual matrix theory.
Craps, Ben; Evnin, Oleg; Nguyen, Kévin
2017-02-01
Matrix quantum mechanics offers an attractive environment for discussing gravitational holography, in which both sides of the holographic duality are well-defined. Similarly to higher-dimensional implementations of holography, collapsing shell solutions in the gravitational bulk correspond in this setting to thermalization processes in the dual quantum mechanical theory. We construct an explicit, fully nonlinear supergravity solution describing a generic collapsing dilaton shell, specify the holographic renormalization prescriptions necessary for computing the relevant boundary observables, and apply them to evaluating thermalizing two-point correlation functions in the dual matrix theory.
Energy Technology Data Exchange (ETDEWEB)
Craps, Ben [Theoretische Natuurkunde, Vrije Universiteit Brussel (VUB), and International Solvay Institutes, Pleinlaan 2, B-1050 Brussels (Belgium); Evnin, Oleg [Department of Physics, Faculty of Science, Chulalongkorn University, Thanon Phayathai, Pathumwan, Bangkok 10330 (Thailand); Theoretische Natuurkunde, Vrije Universiteit Brussel (VUB), and International Solvay Institutes, Pleinlaan 2, B-1050 Brussels (Belgium); Nguyen, Kévin [Theoretische Natuurkunde, Vrije Universiteit Brussel (VUB), and International Solvay Institutes, Pleinlaan 2, B-1050 Brussels (Belgium)
2017-02-08
Matrix quantum mechanics offers an attractive environment for discussing gravitational holography, in which both sides of the holographic duality are well-defined. Similarly to higher-dimensional implementations of holography, collapsing shell solutions in the gravitational bulk correspond in this setting to thermalization processes in the dual quantum mechanical theory. We construct an explicit, fully nonlinear supergravity solution describing a generic collapsing dilaton shell, specify the holographic renormalization prescriptions necessary for computing the relevant boundary observables, and apply them to evaluating thermalizing two-point correlation functions in the dual matrix theory.
Nutrition inequities in Canada.
Tarasuk, Valerie; Fitzpatrick, Sandra; Ward, Heather
2010-04-01
In Canada, increased morbidity and shorter life expectancy have been found among those with lower incomes and lower levels of education, but there has been little examination of socioeconomic variation in food and nutrient intake. Using data from the 2004 Canadian Community Health Survey, we examined the relationship between household income and education level and adults' and children's intakes of energy, fibre, micronutrients, and number of servings consumed of food groups from Canada's Food Guide. To explore the public health significance of observed associations, we estimated the prevalence of inadequacy for selected nutrients for adults, stratifying by household income, education level, and sex. We found that a higher household income adequacy and (or) higher levels of education were associated with increased consumption of milk and alternatives, and vegetables and fruit, and significantly higher vitamin, mineral, and fibre intakes among both adults and children. The prevalence of inadequate nutrient intakes among adults was higher among adults with the lowest level of income adequacy or educational attainment, compared with others. Our results suggest that the nutritional quality of Canadians' food intakes is, in part, a function of their social position. The impact of policy and program interventions needs to be examined across socioeconomic strata to ensure that actions reduce rather than exacerbate nutrition inequities.
DEFF Research Database (Denmark)
Alstadsæter, Annette; Johannesen, Niels; Zucman, Gabriel
2017-01-01
.01% of the wealth distribution, a group that includes households with more than $45 million in net wealth. A simple model of the supply of tax evasion services can explain why evasion rises steeply with wealth. Taking tax evasion into account increases the rise in inequality seen in tax data since the 1970s......This paper attempts to estimate the size and distribution of tax evasion in rich countries. We combine random audits—the key source used to study tax evasion so far—with new micro-data leaked from large offshore financial institutions—HSBC Switzerland (“Swiss leaks”) and Mossack Fonseca (“Panama...... Papers”)—matched to population-wide wealth records in Norway, Sweden, and Denmark. We find that tax evasion rises sharply with wealth, a phenomenon random audits fail to capture. On average about 3% of personal taxes are evaded in Scandinavia, but this figure rises to close to 30% in the top 0...
Exponential stability result for discrete-time stochastic fuzzy uncertain neural networks
International Nuclear Information System (INIS)
Mathiyalagan, K.; Sakthivel, R.; Marshal Anthoni, S.
2012-01-01
This Letter addresses the stability analysis problem for a class of uncertain discrete-time stochastic fuzzy neural networks (DSFNNs) with time-varying delays. By constructing a new Lyapunov–Krasovskii functional combined with the free weighting matrix technique, a new set of delay-dependent sufficient conditions for the robust exponential stability of the considered DSFNNs is established in terms of Linear Matrix Inequalities (LMIs). Finally, numerical examples with simulation results are provided to illustrate the applicability and usefulness of the obtained theory. -- Highlights: ► Applications of neural networks require the knowledge of dynamic behaviors. ► Exponential stability of discrete-time stochastic fuzzy neural networks is studied. ► Linear matrix inequality optimization approach is used to obtain the result. ► Delay-dependent stability criterion is established in terms of LMIs. ► Examples with simulation are provided to show the effectiveness of the result.
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...
Incorporating concepts of inequality and inequity into health benefits analysis
Directory of Open Access Journals (Sweden)
Tuchmann Jessica L
2006-03-01
Full Text Available Abstract Background Although environmental policy decisions are often based in part on both risk assessment information and environmental justice concerns, formalized approaches for addressing inequality or inequity when estimating the health benefits of pollution control have been lacking. Inequality indicators that fulfill basic axioms and agree with relevant definitions and concepts in health benefits analysis and environmental justice analysis can allow for quantitative examination of efficiency-equality tradeoffs in pollution control policies. Methods To develop appropriate inequality indicators for health benefits analysis, we provide relevant definitions from the fields of risk assessment and environmental justice and consider the implications. We evaluate axioms proposed in past studies of inequality indicators and develop additional axioms relevant to this context. We survey the literature on previous applications of inequality indicators and evaluate five candidate indicators in reference to our proposed axioms. We present an illustrative pollution control example to determine whether our selected indicators provide interpretable information. Results and Conclusions We conclude that an inequality indicator for health benefits analysis should not decrease when risk is transferred from a low-risk to high-risk person, and that it should decrease when risk is transferred from a high-risk to low-risk person (Pigou-Dalton transfer principle, and that it should be able to have total inequality divided into its constituent parts (subgroup decomposability. We additionally propose that an ideal indicator should avoid value judgments about the relative importance of transfers at different percentiles of the risk distribution, incorporate health risk with evidence about differential susceptibility, include baseline distributions of risk, use appropriate geographic resolution and scope, and consider multiple competing policy alternatives. Given
ORACLE INEQUALITIES FOR THE LASSO IN THE COX MODEL.
Huang, Jian; Sun, Tingni; Ying, Zhiliang; Yu, Yi; Zhang, Cun-Hui
2013-06-01
We study the absolute penalized maximum partial likelihood estimator in sparse, high-dimensional Cox proportional hazards regression models where the number of time-dependent covariates can be larger than the sample size. We establish oracle inequalities based on natural extensions of the compatibility and cone invertibility factors of the Hessian matrix at the true regression coefficients. Similar results based on an extension of the restricted eigenvalue can be also proved by our method. However, the presented oracle inequalities are sharper since the compatibility and cone invertibility factors are always greater than the corresponding restricted eigenvalue. In the Cox regression model, the Hessian matrix is based on time-dependent covariates in censored risk sets, so that the compatibility and cone invertibility factors, and the restricted eigenvalue as well, are random variables even when they are evaluated for the Hessian at the true regression coefficients. Under mild conditions, we prove that these quantities are bounded from below by positive constants for time-dependent covariates, including cases where the number of covariates is of greater order than the sample size. Consequently, the compatibility and cone invertibility factors can be treated as positive constants in our oracle inequalities.
Influence of the clusters on the Bi LMIS properties
Czech Academy of Sciences Publication Activity Database
Radlička, Tomáš; Lencová, Bohumila
2011-01-01
Roč. 645, č. 1 (2011), s. 124-129 ISSN 0168-9002 Grant - others:EC 7FP(XE) NMP4-SE-2008-200613 Source of funding: R - rámcový projekt EK Keywords : liquid–metal ion sources * coulomb interactions * secondary ion mass spectroscopy Subject RIV: JA - Electronics ; Optoelectronics, Electrical Engineering Impact factor: 1.207, year: 2011
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.
Healthcare investment and income inequality.
Bhattacharjee, Ayona; Shin, Jong Kook; Subramanian, Chetan; Swaminathan, Shailender
2017-12-01
This paper examines how the relative shares of public and private health expenditures impact income inequality. We study a two period overlapping generation's growth model in which longevity is determined by both private and public health expenditure and human capital is the engine of growth. Increased investment in health, reduces mortality, raises return to education and affects income inequality. In such a framework we show that the cross-section earnings inequality is non-decreasing in the private share of health expenditure. We test this prediction empirically using a variable that proxies for the relative intensity of investments (private versus public) using vaccination data from the National Sample Survey Organization for 76 regions in India in the year 1986-87. We link this with region-specific expenditure inequality data for the period 1987-2012. Our empirical findings, though focused on a specific health investment (vaccines), suggest that an increase in the share of the privately provided health care results in higher inequality. Copyright © 2017 Elsevier B.V. All rights reserved.
Quantum bounds on Bell inequalities
Pál, Károly F.; Vértesi, Tamás
2009-02-01
We have determined the maximum quantum violation of 241 tight bipartite Bell inequalities with up to five two-outcome measurement settings per party by constructing the appropriate measurement operators in up to six-dimensional complex and eight-dimensional real-component Hilbert spaces using numerical optimization. Out of these inequalities 129 have been introduced here. In 43 cases higher-dimensional component spaces gave larger violation than qubits, and in three occasions the maximum was achieved with six-dimensional spaces. We have also calculated upper bounds on these Bell inequalities using a method proposed recently. For all but 20 inequalities the best solution found matched the upper bound. Surprisingly, the simplest inequality of the set examined, with only three measurement settings per party, was not among them, despite the high dimensionality of the Hilbert space considered. We also computed detection threshold efficiencies for the maximally entangled qubit pair. These could be lowered in several instances if degenerate measurements were also allowed.
The Optimization on Ranks and Inertias of a Quadratic Hermitian Matrix Function and Its Applications
Directory of Open Access Journals (Sweden)
Yirong Yao
2013-01-01
Full Text Available We solve optimization problems on the ranks and inertias of the quadratic Hermitian matrix function subject to a consistent system of matrix equations and . As applications, we derive necessary and sufficient conditions for the solvability to the systems of matrix equations and matrix inequalities , and in the Löwner partial ordering to be feasible, respectively. The findings of this paper widely extend the known results in the literature.
Experimental violation of Svetlichny's inequality
International Nuclear Information System (INIS)
Lavoie, J; Kaltenbaek, R; Resch, K J
2009-01-01
It is well known that quantum mechanics is incompatible with local realistic theories. Svetlichny showed, through the development of a Bell-like inequality, that quantum mechanics is also incompatible with a restricted class of nonlocal realistic theories for three particles where any two-body nonlocal correlations are allowed (Svetlichny 1987 Phys. Rev. D 35 3066). In the present work, we experimentally generate three-photon GHZ states to test Svetlichny's inequality. Our states are fully characterized by quantum state tomography using an overcomplete set of measurements and have a fidelity of (84±1)% with the target state. We measure a convincing, 3.6σ, violation of Svetlichny's inequality and rule out this class of restricted nonlocal realistic models.
Income Inequality: Does it Matter?
Directory of Open Access Journals (Sweden)
Alfred Wong
2017-08-01
Full Text Available Income inequality has gained considerable prominence worldwide in recent years. The growing discontent among the lower-income segment of industrialized societies is limited largely to resentment because of economic wealth being perceived to be steadily concentrating among fewer people. Quantified economic inequality does not necessarily mean the extreme deprivation of people, especially in Europe and North America. There will be no revolutionary-scale social unrest among the middle class if their expectation of satisfactory wellbeing is continually met. The connection between income inequality and poverty is uncertain because of the variable definition of poverty. The classical characterization of poverty is largely deficient as the actual economic hardships encountered by the lowest-income segment of society are never fully described in the socio-geographic context. What is deprivation in Europe and North America may be considered to be “luxurious” in economically poorer countries.
Lieb's correlation inequality for plane rotors
International Nuclear Information System (INIS)
Rivasseau, V.
1980-01-01
We prove a conjecture by E. Lieb, which leads to the Lieb inequality for plane rotors. As in the Ising model case, this inequality implies the existence of an algorithm to compute the transition temperature of this model. (orig.)
Social inequality: philosophical and sociological reflection
Directory of Open Access Journals (Sweden)
A. Sh. Victorov
2014-01-01
Full Text Available Social inequality is the phenomena that is hypothetically the base for first human communities genesis. Modern model for capitalist society as market relations form fails to satisfy the needs of society’s social development, and strongly requires to create new social knowledge structure and new approach for inequality sociology theory development. Our study conceptual logic comprises routine, philosophic and ideological reflexions analysis to create new social inequality definition in the context of new sociologic knowledge structure. Social inequality is the one of key problems in global sociology; the need is obvious to extract social inequality into separate discipline. Inequality sociology target is the decision of theoretical and practical problems in the formation of comprehensive knowledge about inequality phenomena in modern community, and in the development of common and specialized theoretical-methodological base for inequality study.
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.
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.
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.
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...
Noncommutative Blackwell-Ross martingale inequality
Talebi, Ali; Moslehian, Mohammad Sal; Sadeghi, Ghadir
We establish a noncommutative Blackwell-Ross inequality for supermartingales under a suitable condition which generalizes Khan’s work to the noncommutative setting. We then employ it to deduce an Azuma-type inequality.
On the Lp affine isoperimetric inequalities
Indian Academy of Sciences (India)
surface area measure on convex bodies. We also establish the reverse version of -Petty projection inequality and an affine isoperimetric inequality of − p K . Author Affiliations. Wuyang Yu1 Gangsong Leng2. Institute of Management Decision ...
Finite-Time Stability Analysis of Discrete-Time Linear Singular Systems
Directory of Open Access Journals (Sweden)
Songlin Wo
2014-01-01
Full Text Available The finite-time stability (FTS problem of discrete-time linear singular systems (DTLSS is considered in this paper. A necessary and sufficient condition for FTS is obtained, which can be expressed in terms of matrix inequalities. Then, another form of the necessary and sufficient condition for FTS is also given by using matrix-null space technology. In order to solve the stability problem expediently, a sufficient condition for FTS is given via linear matrix inequality (LMI approach; this condition can be expressed in terms of LMIs. Finally, an illustrating example is also given to show the effectiveness of the proposed method.
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...... fracture (ICD10: S720, S721, S722 and S729) were identified from 1 January 1995 to 31 December 2011. Hip fracture patients were matched 1:1 on age, gender and year of fracture to a non-hip fracture control. An individual's education attainment was defined as basic, secondary or higher, and their income...
Bell inequality, nonlocality and analyticity
International Nuclear Information System (INIS)
Socolovsky, M.
2003-01-01
The Bell and the Clauser-Horne-Shimony-Holt inequalities are shown to hold for both the cases of complex and real analytic nonlocality in the setting parameters of Einstein-Podolsky-Rosen-Bohm experiments for spin ((1)/(2)) particles and photons, in both the deterministic and stochastic cases. Therefore, the theoretical and experimental violation of the inequalities by quantum mechanics excludes all hidden variables theories with that kind of nonlocality. In particular, real analyticity leads to negative definite correlations, in contradiction with quantum mechanics
Bell inequality, nonlocality and analyticity
Energy Technology Data Exchange (ETDEWEB)
Socolovsky, M
2003-09-15
The Bell and the Clauser-Horne-Shimony-Holt inequalities are shown to hold for both the cases of complex and real analytic nonlocality in the setting parameters of Einstein-Podolsky-Rosen-Bohm experiments for spin ((1)/(2)) particles and photons, in both the deterministic and stochastic cases. Therefore, the theoretical and experimental violation of the inequalities by quantum mechanics excludes all hidden variables theories with that kind of nonlocality. In particular, real analyticity leads to negative definite correlations, in contradiction with quantum mechanics.
Bell's inequality without alternative settings
International Nuclear Information System (INIS)
Cabello, Adan
2003-01-01
A suitable generalized measurement described by a 4-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
Carbon emissions and income inequality
International Nuclear Information System (INIS)
Ravallion, M.; Heil, M.; Jalan, J.
2000-01-01
We find that the distribution of income matters to aggregate carbon dioxide emissions and hence global warming. Higher inequality, both between and within countries is associated with lower carbon emissions at given average incomes. We also confirm that economic growth generally comes with higher emissions. Thus our results suggest that trade-offs exist between climate control (on the one hand) and both social equity and economic growth (on the other). However, economic growth improves the trade off with equity, and lower inequality improves the trade off with growth. By combining growth with equity, more pro-poor growth processes yield better longer-term trajectories of carbon emissions. (Author)
results on an integral inequality of the opial- type
African Journals Online (AJOL)
We obtain integral inequalities which are Opial-type inequalities, mainly by using Jensen's inequality for the case of convex function. KEYWORDS: Integral inequalities, Opial's inequality, Jensen's inequality and convex functions. 2010 Subject Classification: 15A31. INTRODUCTION. Opial ([8])established the following ...
Sources of Income Inequality in Pakistan
HANS DE KRUIJK
1987-01-01
In a paper presented at the 1985 Conference of this Society [Kruijk and Leeuwen (1985)] we described some structural changes in poverty and income inequality in Pakistan during the 1970s. All inequality measures and poverty indicators pointed to the conclusion that poverty has declined while at the same time inequality has increased. Htlwever, the paper did not go deep enough into the reasons why inequality has increased. It did appear that neither the urban/rural distinction nor interprovinc...
Compact Bell inequalities for multipartite experiments
Wu, Yu-Chun; Żukowski, Marek; Chen, Jing-Ling; Guo, Guang-Can
2013-01-01
A method for construction of the multipartite Clauser-Horne-Shimony-Holt (CHSH) type Bell inequalities, for the case of local binary observables, is presented. The standard CHSH-type Bell inequalities can be obtained as special cases. A unified framework to establish all kinds of CHSH-type Bell inequalities by increasing step by step the number of observers is given. As an application, compact Bell inequalities, for eight observers, involving just four correlation functions are proposed. They...
Bell inequalities for the simplest exclusivity graph
Sadiq, Muhamad; Badziag, Piotr; Bourennane, Mohamed; Cabello, Adan
2011-01-01
Which is the simplest logical structure for which there is quantum nonlocality? We show that there are only three bipartite Bell inequalities with quantum violation associated with the simplest graph of relationships of exclusivity with a quantum-classical gap. These are the most elementary logical Bell inequalities. We show that the quantum violation of some well-known Bell inequalities is related to them. We test the three Bell inequalities with pairs of polarization-entangled photons and r...
Competitive Pressure on China: Income Inequality
Ten Raa, T.; Pan, H.
2001-01-01
In the preceding paper we have seen that the top types of labor are relatively scarce in China and this raises the issue of income inequality under competition.Our main finding is that inequality would multiply indeed. Subsidiary, the nature of inequality would shift from the rural-urban divide to differences between social classes.The existing negative relationship between development and inequality would be dissolved by competition.
On some fractional order hardy inequalities
Directory of Open Access Journals (Sweden)
Kufner Alois
1997-01-01
Full Text Available Weighted inequalities for fractional derivatives ( fractional order Hardy-type inequalities have recently been proved in [4] and [1]. In this paper, new inequalities of this type are proved and applied. In particular, the general mixed norm case and a general twodimensional weight are considered. Moreover, an Orlicz norm version and a multidimensional fractional order Hardy inequality are proved. The connections to related results are pointed out.
Inequality observed. A study of Attitudes towards Income Inequality.
Szirmai, Adam
1986-01-01
If people in two societies with similar distributions of income, experience income lnequality in very different ways, the consequences of income lnequality wilf also be very different in these societies. Where the tolerance for inequality is low and there is a widespread feeling that the
Comparable indicators of inequality across countries
Nolan, B.; Marx, I.; Salverda, W.
2011-01-01
This paper addresses the key issue for the GINI project of how best to approach the measurement of income inequality and wage inequality to enhance comparability across different studies. It focuses ﬁ rst on income inequality, dealing with the deﬁ nition of income, the income recipient unit, and the
Some Inequalities for the -Curvature Image
Directory of Open Access Journals (Sweden)
Daijun Wei
2009-01-01
Full Text Available Lutwak introduced the notion of -curvature image and proved an inequality for the volumes of convex body and its -curvature image. In this paper, we first give an monotonic property of -curvature image. Further, we establish two inequalities for the -curvature image and its polar, respectively. Finally, an inequality for the volumes of -projection body and -curvature image is obtained.
Wage Inequality and the Location of Cities
DEFF Research Database (Denmark)
Farrokhi, Farid; Jinkins, David
agglomeration and congestion forces. The model bridges the gap between the spatial inequality literature which abstracts from geography, and the economic geography literature which abstracts from inequality. We find that geographical location explains 9.2% of observed variation in wage inequality across...
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
Competitive Pressure on China : Income Inequality
Ten Raa, T.; Pan, H.
2001-01-01
In the preceding paper we have seen that the top types of labor are relatively scarce in China and this raises the issue of income inequality under competition.Our main finding is that inequality would multiply indeed. Subsidiary, the nature of inequality would shift from the rural-urban divide to
Volume inequalities for asymmetric Wulff shapes
Schuster, Franz E.; Weberndorfer, Manuel
2012-01-01
Sharp reverse affine isoperimetric inequalities for asymmetric Wulff shapes and their polars are established, along with the characterization of all extremals. These new inequalities have as special cases previously obtained simplex inequalities by Ball, Barthe and Lutwak, Yang, and Zhang. In particular, they provide the solution to a problem by Zhang.
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.
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
Two Conceptions of Inequality | Strandberg | Philosophical Papers
African Journals Online (AJOL)
Following Temkin's Inequality I take my point of departure in an individualistic approach according to which a situation is bad in respect of inequality to the extent individuals in it have egalitarian complaints. After having criticised some of Temkin's notions of inequality, I argue that there are two proper egalitarian conceptions, ...
Socioeconomic Development Inequalities among Geographic Units ...
African Journals Online (AJOL)
Socio-economic development inequality among geographic units is a phenomenon common in both the developed and developing countries. Regional inequality may result in dissension among geographic units of the same state due to the imbalance in socio-economic development. This study examines the inequality ...
International Nuclear Information System (INIS)
Park, Moon Kyu; Kim, Yong Hee; Cha, Kune Ho; Kim, Myung Ki
1998-01-01
A method is described to develop an H∞ filtering method for the dynamic compensation of self-powered neutron detectors normally used for fixed incore instruments. An H∞ norm of the filter transfer matrix is used as the optimization criteria in the worst-case estimation error sense. Filter modeling is performed for discrete-time model. The filter gains are optimized in the sense of noise attenuation level of H∞ setting. By introducing Bounded Real Lemma, the conventional algebraic Riccati inequalities are converted into Linear Matrix Inequalities (LMIs). Finally, the filter design problem is solved via the convex optimization framework using LMIs. The simulation results show that remarkable improvements are achieved in view of the filter response time and the filter design efficiency
Directory of Open Access Journals (Sweden)
Zhaohui Chen
2013-01-01
Full Text Available The delay-dependent exponential L2-L∞ performance analysis and filter design are investigated for stochastic systems with mixed delays and nonlinear perturbations. Based on the delay partitioning and integral partitioning technique, an improved delay-dependent sufficient condition for the existence of the L2-L∞ filter is established, by choosing an appropriate Lyapunov-Krasovskii functional and constructing a new integral inequality. The full-order filter design approaches are obtained in terms of linear matrix inequalities (LMIs. By solving the LMIs and using matrix decomposition, the desired filter gains can be obtained, which ensure that the filter error system is exponentially stable with a prescribed L2-L∞ performance γ. Numerical examples are provided to illustrate the effectiveness and significant improvement of the proposed method.
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…
General strongly nonlinear variational inequalities
International Nuclear Information System (INIS)
Siddiqi, A.H.; Ansari, Q.H.
1990-07-01
In this paper we develop iterative algorithms for finding approximate solutions for new classes of variational and quasi-variational inequalities which include, as special case, some known results in this field. It is shown that the solutions of the iterative schemes converge to the exact solutions. (author). 15 refs
Fast and scalable inequality joins
Khayyat, Zuhair; Lucia, William; Singh, Meghna; Ouzzani, Mourad; Papotti, Paolo; Quiané -Ruiz, Jorge Arnulfo; Tang, Nan; Kalnis, Panos
2016-01-01
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
Regularization of Nonmonotone Variational Inequalities
International Nuclear Information System (INIS)
Konnov, Igor V.; Ali, M.S.S.; Mazurkevich, E.O.
2006-01-01
In this paper we extend the Tikhonov-Browder regularization scheme from monotone to rather a general class of nonmonotone multivalued variational inequalities. We show that their convergence conditions hold for some classes of perfectly and nonperfectly competitive economic equilibrium problems
Retirement Patterns and Income Inequality
Fasang, Anette Eva
2012-01-01
How do social policies shape life courses, and which consequences do different life course patterns hold for individuals? This article engages the example of retirement in Germany and Britain to analyze life course patterns and their consequences for income inequality. Sequence analysis is used to measure retirement trajectories. The liberal…
Inequalities for quantum skew information
DEFF Research Database (Denmark)
Audenaert, Koenraad; Cai, Liang; Hansen, Frank
2008-01-01
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....
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,
Probability inequalities for decomposition integrals
Czech Academy of Sciences Publication Activity Database
Agahi, H.; Mesiar, Radko
2017-01-01
Roč. 315, č. 1 (2017), s. 240-248 ISSN 0377-0427 Institutional support: RVO:67985556 Keywords : Decomposition integral * Superdecomposition integral * Probability inequalities Subject RIV: BA - General Mathematics OBOR OECD: Statistics and probability Impact factor: 1.357, year: 2016 http://library.utia.cas.cz/separaty/2017/E/mesiar-0470959.pdf
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
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.
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
Experimental tests of Bell's inequalities
International Nuclear Information System (INIS)
Aspect, A.
1984-01-01
The author discusses the experiments related to Bell's inequalities. After first introducing Bell's theorem, the author presents a brief review of the experiments carried out between 1970 and 1976. Finally, some details on experiments that are in progress in the Institut d'Optique d'Orsay are given. (Auth.)
Some higher order Hardy inequalities
Czech Academy of Sciences Publication Activity Database
Kufner, Alois; Kuliev, K.; Persson, L. E.
2012-01-01
Roč. 2012, Mar 26 (2012), s. 69 ISSN 1029-242X Institutional support: RVO:67985840 Keywords : Hardy inequality Subject RIV: BA - General Mathematics Impact factor: 0.822, year: 2012 http://www.journalofinequalitiesandapplications.com/content/2012/1/69
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
Results on an integral inequality of the opial- type | Rauf | Global ...
African Journals Online (AJOL)
Abstract. We obtain integral inequalities which are Opial-type inequalities, mainly by using Jensen's inequality for the case of convex function. Keywords: Integral inequalities, Opial's inequality, Jensen's inequality and convex functions ...
Belitsky, A. V.
2017-10-01
The Operator Product Expansion for null polygonal Wilson loop in planar maximally supersymmetric Yang-Mills theory runs systematically in terms of multi-particle pentagon transitions which encode the physics of excitations propagating on the color flux tube ending on the sides of the four-dimensional contour. Their dynamics was unraveled in the past several years and culminated in a complete description of pentagons as an exact function of the 't Hooft coupling. In this paper we provide a solution for the last building block in this program, the SU(4) matrix structure arising from internal symmetry indices of scalars and fermions. This is achieved by a recursive solution of the Mirror and Watson equations obeyed by the so-called singlet pentagons and fixing the form of the twisted component in their tensor decomposition. The non-singlet, or charged, pentagons are deduced from these by a limiting procedure.
Directory of Open Access Journals (Sweden)
A.V. Belitsky
2017-10-01
Full Text Available The Operator Product Expansion for null polygonal Wilson loop in planar maximally supersymmetric Yang–Mills theory runs systematically in terms of multi-particle pentagon transitions which encode the physics of excitations propagating on the color flux tube ending on the sides of the four-dimensional contour. Their dynamics was unraveled in the past several years and culminated in a complete description of pentagons as an exact function of the 't Hooft coupling. In this paper we provide a solution for the last building block in this program, the SU(4 matrix structure arising from internal symmetry indices of scalars and fermions. This is achieved by a recursive solution of the Mirror and Watson equations obeyed by the so-called singlet pentagons and fixing the form of the twisted component in their tensor decomposition. The non-singlet, or charged, pentagons are deduced from these by a limiting procedure.
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.
Adaptive synchronization of Genesio-Tesi chaotic system via a novel feedback control
International Nuclear Information System (INIS)
Park, Ju H.; Lee, S.M.; Kwon, O.M.
2007-01-01
The Letter addresses control problem for adaptive synchronization of the Genesio-Tesi chaotic systems with three uncertain parameters. A new control scheme is proposed to make the states of two Genesio-Tesi systems asymptotically synchronized. Based on the Lyapunov method and linear matrix inequality (LMI) framework, an existence criterion for the control law is derived in terms of LMIs. A numerical simulation is illustrated to show the effectiveness of the proposed chaos synchronization scheme
Stability of neutral type descriptor system with mixed delays
International Nuclear Information System (INIS)
Li Hong; Li Houbiao; Zhong Shouming
2007-01-01
In this paper, the stability problems of general neutral type descriptor system with mixed delays are considered. Some new delay-independent stability and robust stability criteria, which are simpler and less conservative than existing results, are derived in terms of the stability of a new operator I and linear matrix inequalities (LMIs). Therefore, criteria can be easily checked by utilizing the Matlab LMI toolbox
Guaranteed cost control of time-delay chaotic systems
International Nuclear Information System (INIS)
Park, Ju H.; Kwon, O.M.
2006-01-01
This article studies a guaranteed cost control problem for a class of time-delay chaotic systems. Attention is focused on the design of memory state feedback controllers such that the resulting closed-loop system is asymptotically stable and an adequate level of performance is also guaranteed. Using the Lyapunov method and LMI (linear matrix inequality) framework, two criteria for the existence of the controller are derived in terms of LMIs. A numerical example is given to illustrate the proposed method
Further results on passivity analysis of delayed cellular neural networks
International Nuclear Information System (INIS)
Park, Ju H.
2007-01-01
The passivity condition for delayed neural networks with uncertainties is considered in this article. From simple extension of a recent work for stability analysis of the system, a new criterion for the passivity of the system is derived in terms of linear matrix inequalities (LMIs), which can be easily solved by using various convex optimization algorithms. A numerical example is given to show the usefulness of our result
On global stability criterion for neural networks with discrete and distributed delays
International Nuclear Information System (INIS)
Park, Ju H.
2006-01-01
Based on the Lyapunov functional stability analysis for differential equations and the linear matrix inequality (LMI) optimization approach, a new delay-dependent criterion for neural networks with discrete and distributed delays is derived to guarantee global asymptotic stability. The criterion is expressed in terms of LMIs, which can be solved easily by various convex optimization algorithms. Some numerical examples are given to show the effectiveness of proposed method
Temperature Control of Gas Chromatograph Based on Switched Delayed System Techniques
Directory of Open Access Journals (Sweden)
Xiao-Liang Wang
2014-01-01
Full Text Available We address the temperature control problem of the gas chromatograph. We model the temperature control system of the gas chromatograph into a switched delayed system and analyze the stability by common Lyapunov functional technique. The PI controller parameters can be given based on the proposed linear matrix inequalities (LMIs condition and the designed controller can make the temperature of gas chromatograph track the reference signal asymptotically. An experiment is given to illustrate the effectiveness of the stability criterion.
A novel delay-dependent criterion for delayed neural networks of neutral type
International Nuclear Information System (INIS)
Lee, S.M.; Kwon, O.M.; Park, Ju H.
2010-01-01
This Letter considers a robust stability analysis method for delayed neural networks of neutral type. By constructing a new Lyapunov functional, a novel delay-dependent criterion for the stability is derived in terms of LMIs (linear matrix inequalities). A less conservative stability criterion is derived by using nonlinear properties of the activation function of the neural networks. Two numerical examples are illustrated to show the effectiveness of the proposed method.
Delayed Antiwindup Control Using a Decoupling Structure
Directory of Open Access Journals (Sweden)
Huawei Zhu
2013-01-01
Full Text Available This paper investigates the antiwindup (AW control problem for plants with input saturation. The AW compensator is not activated as soon as input saturation occurs as usual. A delayed decoupling structure is first proposed. Then, appropriate linear matrix inequalities (LMIs are developed to determine a plant-order AW compensator. Effectiveness of the presented AW technique is illustrated by a fighter aircraft model.
Social inequality, scientific inequality, and the future of mental illness.
Dean, Charles E
2017-12-19
Despite five decades of increasingly elegant studies aimed at advancing the pathophysiology and treatment of mental illness, the results have not met expectations. Diagnoses are still based on observation, the clinical history, and an outmoded diagnostic system that stresses the historic goal of disease specificity. Psychotropic drugs are still based on molecular targets developed decades ago, with no increase in efficacy. Numerous biomarkers have been proposed, but none have the requisite degree of sensitivity and specificity, and therefore have no usefulness in the clinic. The obvious lack of progress in psychiatry needs exploration. The historical goals of psychiatry are reviewed, including parity with medicine, a focus on diagnostic reliability rather than validity, and an emphasis on reductionism at the expense of socioeconomic issues. Data are used from Thomas Picketty and others to argue that our failure to advance clinical care may rest in part on the rise in social and economic inequality that began in the 1970s, and in part on our inability to move beyond the medical model of specificity of disease and treatment. It is demonstrated herein that the historical goal of specificity of disease and treatment has not only impeded the advance of diagnosis and treatment of mental illness, but, in combination with a rapid increase in socioeconomic inequality, has led to poorer outcomes and rising mortality rates in a number of disorders, including schizophrenia, anxiety, and depression. It is proposed that Psychiatry should recognize the fact of socioeconomic inequality and its effects on mental disorders. The medical model, with its emphasis on diagnostic and treatment specificity, may not be appropriate for investigation of the brain, given its complexity. The rise of scientific inequality, with billions allocated to connectomics and genetics, may shift attention away from the need for improvements in clinical care. Unfortunately, the future prospects of those
Bell inequalities and waiting times
Energy Technology Data Exchange (ETDEWEB)
Poeltl, Christina; Governale, Michele [School of Chemical and Physical Sciences and MacDiarmid Institute for Advanced Materials and Nanotechnology, Victoria University of Wellington, PO Box 600, Wellington 6140 (New Zealand)
2015-07-01
We propose a Bell test based on waiting time distributions for spin entangled electron pairs, which are generated and split in mesoscopic Coulomb blockade structures, denoted as entanglers. These systems have the advantage that quantum point contacts enable a time resolved observation of the electrons occupying the system, which gives access to quantities such as full counting statistics and waiting time distributions. We use the partial waiting times to define a CHSH-Bell test, which is a purely electronic analogue of the test used in quantum optics. After the introduction of the Bell inequality we discuss the findings on the two examples of a double quantum dot and a triple quantum dot. This Bell test allows the exclusion of irrelevant tunnel processes from the statistics normally used for the Bell correlations. This can improve the parameter range for which a violation of the Bell inequality can be measured significantly.
Educational inequality in cardiovascular diseases
DEFF Research Database (Denmark)
Søndergaard, Grethe; Dalton, Susanne Oksbjerg; Mortensen, Laust Hvas
2018-01-01
AIMS: Educational inequality in diseases in the circulatory system (here termed cardiovascular disease) is well documented but may be confounded by early life factors. The aim of this observational study was to examine whether the associations between education and all cardiovascular diseases...... educational status was associated with a higher risk of cardiovascular disease, ischaemic heart disease and stroke. All associations attenuated in the within-sibship analyses, in particular in the analyses on ischaemic heart disease before age 45 years. For instance, in the cohort analyses, the hazard rate...... factors shared by siblings explained the associations between education and the cardiovascular disease outcomes but to varying degrees. This should be taken into account when planning interventions aimed at reducing educational inequalities in the development of cardiovascular disease, ischaemic heart...
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.
Urbanization and Inequality/Poverty
Directory of Open Access Journals (Sweden)
Brantley Liddle
2017-11-01
Full Text Available The level of world urbanization has crossed the 50% mark, and nearly all future population growth is projected to occur in cities. Cities are disproportionately wealthy, but are associated with poverty, too. Addressing the dual challenges of urbanization and poverty is key to achieving sustainable development. This paper performs cross-sectional regressions, based on Kuznets, as a starting point for understanding the relationship between urbanization and poverty/inequality indicators. Increases in gross domestic product per capita unambiguously lowered poverty and narrowed rural-urban gaps. By contrast, levels of urbanization were either unrelated to poverty/inequality indicators and measures of rural-urban gaps, or had a nonlinear effect where, initially, increases in urbanization likewise led to improvements in those areas, while at higher levels of urbanization, increases in urbanization exacerbated poverty and rural-urban gaps.
Matrix Mathematics Theory, Facts, and Formulas (Second Edition)
Bernstein, Dennis S
2011-01-01
When first published in 2005, Matrix Mathematics quickly became the essential reference book for users of matrices in all branches of engineering, science, and applied mathematics. In this fully updated and expanded edition, the author brings together the latest results on matrix theory to make this the most complete, current, and easy-to-use book on matrices. Each chapter describes relevant background theory followed by specialized results. Hundreds of identities, inequalities, and matrix facts are stated clearly and rigorously with cross references, citations to the literature, and illuminat
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...... Institute of Asian Studies for the next few years. Her object of study is the travels of gender theory between the Nordic countries and China....
Counterfeit Goods and Income Inequality
Stefania Scandizzo
2001-01-01
This paper examines the effect of counterfeit goods in a world where consumers are differentiated by level of income and innovation is quality enhancing. Counterfeit goods are defined as products with the same characteristics as “originals”, but of lower quality. The effect of imitation on firms’ profits and consumer welfare depends on the distribution of income within the country. In particular, the greater the level of income inequality the larger the increase in consumer welfare due to the...
Time scarcity: another health inequality?
Lyndall Strazdins; Amy L Griffin; Dorothy H Broom; Cathy Banwell; Rosemary Korda; Jane Dixon; Francesco Paolucci; John Glover
2011-01-01
Considerable policy action has focused on the social patterning of health, especially the health risks associated with low income. More recent attention has turned to transport, food systems, workplaces, and location, and the way their intersections with social position and income create health inequalities. Time is another dimension that structures what people do; yet the way in which time contours health has been neglected. This paper explores (a) how time might influence health, and (b) th...
Higher dimensional discrete Cheeger inequalities
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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.
International Nuclear Information System (INIS)
Padilla, Emilio; Serrano, Alfredo
2006-01-01
This paper analyzes the inequality in CO 2 emissions across countries (and groups of countries) and the relationship of this inequality with income inequality across countries for the period (1971-1999). The research employs the tools that are usually applied in income distribution analysis. The methodology used here gives qualitative and quantitative information on some of the features of the inequalities across countries that are considered most relevant for the design and discussion of policies aimed at mitigating climate change. The paper studies the relationship between CO 2 emissions and GDP and shows that income inequality across countries has been followed by an important inequality in the distribution of emissions. This inequality has diminished mildly, although the inequality in emissions across countries ordered in the increasing value of income (inequality between rich and poor countries) has diminished less than the 'simple' inequality in emissions. Lastly, the paper shows that the inequality in CO 2 emissions is mostly explained by the inequality between groups with different per capita income level. The importance of the inequality within groups of similar per capita income is much lower and has diminished during the period, especially in the low middle income group
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.
A limitation on Bell's inequality
International Nuclear Information System (INIS)
Buonomano, V.
1978-01-01
It is shown that Bell's Inequality does not characterize all local hidden variable explanations of the polarization correlation experiments. If one considers theories in which a single polarization measurement is not independent of previous particle-polarizer interactions then it is possible to manufacture local hidden variable theories which agree with quantum mechanics for any of the experiments performed to date. A relevant property here is ergodicity, and we can say that Bell's Inequality characterizes all ergodic local hidden variable theories (i.e. all local theories that give the same time and ensemble average) but not all non-ergodic local hidden variable theories. It is further shown that the most physically reasonable class of non-ergodic local hidden variable theories must also satisfy Bell's Inequality. It might be concluded from this article that if one insists on believing in both local hidden variable theories and the polarization correlation experiments supporting quantum mechanics then one must also believe in the existence of a field, medium or ether that permeates space and has relatively stable states (memory)
Bell inequalities for graph states
International Nuclear Information System (INIS)
Toth, G.; Hyllus, P.; Briegel, H.J.; Guehne, O.
2005-01-01
Full text: In the last years graph states have attracted an increasing interest in the field of quantum information theory. Graph states form a family of multi-qubit states which comprises many popular states such as the GHZ states and the cluster states. They also play an important role in applications. For instance, measurement based quantum computation uses graph states as resources. From a theoretical point of view, it is remarkable that graph states allow for a simple description in terms of stabilizing operators. In this contribution, we investigate the non-local properties of graph states. We derive a family of Bell inequalities which require three measurement settings for each party and are maximally violated by graph states. In turn, any graph state violates at least one of the inequalities. We show that for certain types of graph states the violation of these inequalities increases exponentially with the number of qubits. We also discuss connections to other entanglement properties such as the positively of the partial transpose or the geometric measure of entanglement. (author)
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.
Finite-Time Stability and Stabilization of Nonlinear Quadratic Systems with Jumps
Directory of Open Access Journals (Sweden)
Minsong Zhang
2014-01-01
Full Text Available This paper investigates the problems of finite-time stability and finite-time stabilization for nonlinear quadratic systems with jumps. The jump time sequences here are assumed to satisfy some given constraints. Based on Lyapunov function and a particular presentation of the quadratic terms, sufficient conditions for finite-time stability and finite-time stabilization are developed to a set containing bilinear matrix inequalities (BLIMs and linear matrix inequalities (LMIs. Numerical examples are given to illustrate the effectiveness of the proposed methodology.
New stability and stabilization for switched neutral control systems
International Nuclear Information System (INIS)
Xiong Lianglin; Zhong Shouming; Ye Mao; Wu Shiliang
2009-01-01
This paper concerns stability and stabilization issues for switched neutral systems and presents new classes of piecewise Lyapunov functionals and multiple Lyapunov functionals, based on which, two new switching rules are introduced to stabilize the neutral systems. One switching rule is designed from the solution of the so-called Lyapunov-Metzler linear matrix inequalities. The other is based on the determination of average dwell time computed from a new class of linear matrix inequalities (LMIs). And then, state-feedback control is derived for the switched neutral control system mainly based on the state switching rules. Finally, three examples are given to demonstrate the effectiveness of the proposed method.
Directory of Open Access Journals (Sweden)
Yingwei Li
2013-01-01
Full Text Available The global exponential stability issues are considered for almost periodic solution of the neural networks with mixed time-varying delays and discontinuous neuron activations. Some sufficient conditions for the existence, uniqueness, and global exponential stability of almost periodic solution are achieved in terms of certain linear matrix inequalities (LMIs, by applying differential inclusions theory, matrix inequality analysis technique, and generalized Lyapunov functional approach. In addition, the existence and asymptotically almost periodic behavior of the solution of the neural networks are also investigated under the framework of the solution in the sense of Filippov. Two simulation examples are given to illustrate the validity of the theoretical results.
The Saturation of Several Universal Inequalities in Information-Processing
International Nuclear Information System (INIS)
Zhang Lin; Wu Jun-De; Fei Shao-Ming
2015-01-01
In this paper, we characterize the saturation of four universal inequalities in quantum information theory, including a variant version of strong subadditivity inequality for von Neumann entropy, the coherent information inequality, the Holevo quantity, and average entropy inequalities. These results shed new light on quantum information inequalities. (paper)
Extensions of Heinz–Kato–Furuta inequality, II
Directory of Open Access Journals (Sweden)
Nakamoto Ritsuo
1999-01-01
Full Text Available In our preceding note, we discussed a generalized Schwarz inequality, an improvement of the Heinz–Kato–Furuta inequality and an inequality related to the Furuta inequality. In succession, we give further discussions on them from the viewpoint of the covariance–variance inequality and the chaotic order. Finally, we consider a relation between our improvement and Wielandt's theorem.
Some thoughts on Harker-Kasper inequalities
International Nuclear Information System (INIS)
Woolfson, M.M.
1988-01-01
The approach by Harker and Kasper which led to the first inequality relationships between structure factors has not previously been applied to the space group P1 and there seems to have been a view that it could not give useful results for that space group. The idea has also been advanced that Harker-Kasper inequalities are contained within the complete set of determinantal inequalities derived by Karle and Hauptman. It is shown that the Harker-Kasper approach can be applied in space group P1 and gives inequality relationships which are distinct, at least in form, from those derived from determinants. Indeed, in some cases, a simple Harker-Kasper inequality can be more effective than an equally simple determinantal inequality in restricting the allowed values of three-phase invariants. (orig.)
The intergenerational Inequality of Health in China
DEFF Research Database (Denmark)
Eriksson, Tor; Pan, Jay; Qin, Xuezheng
2014-01-01
This paper estimates the intergenerational health transmission in China using the 1991–2009 China Health and Nutrition Survey (CHNS) data. Three decades of persistent economic growth in China has been accompanied by high income inequality, which may in turn be caused by the inequality...... of opportunity in education and health. In this paper, we find that there is a strong correlation of health status between parent and their offspring in both the urban and rural sectors, suggesting the existence of intergenerational health inequality in China. The correlation is robust to various model....... 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...
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. Copyright © 2014, American Association for the Advancement of Science.
[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
Local realism and the Bell inequality
International Nuclear Information System (INIS)
Brody, T.A.
1989-01-01
The Bell inequality has generally been interpreted to involve two requirements for its validity: a locality condition and the existence of hidden variables. The Bell inequality could only be satisfied within the framework of a non-local theory. The Pauli exclusion principle bears an evident non-local character, the origins and implications of which cannot be said to be fully understood; nevertheless, it has not given rise to the conceptual confusions that followed in the wake of the Bell inequality. (Author)
Liapunov-type inequality for universal integral
Czech Academy of Sciences Publication Activity Database
Agahi, H.; Mohammadpour, A.; Mesiar, Radko; Vaezpour, M. S.
2012-01-01
Roč. 27, č. 10 (2012), s. 908-925 ISSN 0884-8173 R&D Projects: GA ČR GAP402/11/0378 Institutional support: RVO:67985556 Keywords : integral inequality * universal integral * Liapunov inequality Subject RIV: BA - General Mathematics Impact factor: 1.416, year: 2012 http://library.utia.cas.cz/separaty/2012/E/mesiar-liapunov-type inequality for universal integral.pdf
Are Teams Less Inequality Averse than Individuals?
He, Haoran; Villeval, Marie Claire
2014-01-01
We compare inequality aversion in individuals and teams by means of both within- and between-subject experimental designs, and we investigate how teams aggregate individual preferences. We find that team decisions reveal less inequality aversion than individual initial proposals in team decision-making. However, teams are no more selfish than individuals who decide in isolation. Individuals express strategically more inequality aversion in their initial proposals in team decision-making becau...
Income Satisfaction Inequality and its Causes
Ferrer-i-Carbonell, Ada; Praag, Bernard M.S. Van
2002-01-01
In this paper, the concept of Income Satisfaction Inequality is operationalized on the basis of individual responses to an Income Satisfaction question posed in the German Socio-Economic Panel (GSOEP). Income satisfaction is the subjective analogue of the objective income concept and includes objective income inequality as a special case. The paper introduces a method to decompose Income Satisfaction Inequality according to the contributions from variables such as income, education, and the n...
Entrepreneurship and Income Inequality in Southern Ethiopia
Kimhi, Ayal
2009-01-01
This paper uses inequality decomposition techniques in order to analyse the consequences of entrepreneurial activities to household income inequality in southern Ethiopia. A uniform increase in entrepreneurial income reduces per capita household income inequality. This implies that encouraging rural entrepreneurship may be favourable for both income growth and income distribution. Such policies could be particularly successful if directed at the low-income, low-wealth, and relatively uneducat...
Spatial distribution of gender inequality in Brazil
Directory of Open Access Journals (Sweden)
Patrícia Verônica Pinheiro Sales Lima
2015-07-01
Full Text Available The purpose of this article was to analyze how gender inequality is distributed all over the Brazil. To that end, it has been built the Multidimensional Gender Inequality Index (MGII, a synthetic index. The main findings underlined that inequality between men and women manifests itself at different degrees in the federal units, but it is determined by a variety of common factors. The asymmetries are observed, mainly, in the political, labor and income dimensions.
Gender Inequality in University Administration and Services
Estelles Miguel, Sofia; NAVARRO GARCÍA, ANTONIO; Palmer Gato, Marta Elena; Albarracín Guillem, José Miguel
2014-01-01
This work is licensed under a Creative Commons Attribution 3.0 License. This article addresses inequalities between men and women at work. Inequalities in job access and career progression are addressed. The article reviews literature on equal opportunities at work. A case study of administrative and services staff at a public university in Valencia (Spain) is then presented. The case study assesses the current reality of gender inequality in Spanish public institutions. Spanish public uni...
Gender inequality: The challenge of contemporary demography
Šobot Ankica
2010-01-01
Gender perspective is a heuristic device in researching social phenomena, and gender inequality is a social fact which requires an adequate answer. Also, social differences between women and men are examined as relevant factors of demographic phenomena. The contemporary demography is opening up space not only for the gender aspect, but also for gender inequality as a relevant research topic. This paper discusses the possibilities of demographic approach to studying social inequality between w...
Wage Inequality and Wage Mobility in Turkey
Tansel, Aysit; Dalgıç, Başak; Güven, Aytekin
2014-01-01
This paper investigates wage inequality and wage mobility in Turkey using the Surveys on Income and Living Conditions (SILC). This is the first paper that explores wage mobility for Turkey. It differs from the existing literature by providing analyses of wage inequality and wage mobility over various socioeconomic groups such as gender, age, education and sector of economic activity. We first present an overview of the evolution of wages and wage inequality over the period 2005-2011. Next, w...
Income Inequality and Migration in Vietnam
NGUYEN, Tien Dung
2012-01-01
In this paper, we have analyzed the recent trends in income inequality, internal and international migrations and investigated the impact of migration on income distribution in Vietnam. Our analysis shows that the effects of migration on income inequality vary with different types of migration, depending on who migrate and where they migrate. Foreign remittances tend to flow toward more affluent households, and they increase income inequality. By contrast, domestic remittances accrue more to ...
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
Hardy type inequalities on the sphere
Directory of Open Access Journals (Sweden)
Xiaomei Sun
2017-06-01
Full Text Available Abstract In this paper, we consider the L p $L^{p}$ -Hardy inequalities on the sphere. By the divergence theorem, we establish the L p $L^{p}$ -Hardy inequalities on the sphere. Furthermore, we also obtain their best constants. Our results can be regarded as the extension of Xiao’s (J. Math. Inequal. 10:793-805, 2016.
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...
Steiniger, Tim
2015-01-01
Social and economic inequalities have been a concern in human societies throughout history. In recent years especially wealth and income inequality have been the focus of controversial public, political, and scientific debates. The present thesis seeks to contribute to the ongoing inequality debate by regarding economic inequality from a psychological point of view. Together with Detlef Fetchenhauer, Thomas Schlösser, and Daniel Ehlebracht, I experimentally investigated the psychological dete...
The Impact of Educational and Gender Inequality on Income Inequality in South Asia
Kanwal, Ayesha; Munir, Kashif
2015-01-01
This paper examines the impact of educational and gender inequality in education on income inequality in South Asian countries for the time period of 1980 to 2010. Random effect model (REM) and fixed effect model (FEM) are used for estimation. Using the concept of education Gini the study find that there exist a positive relationship between educational and income inequality. The results also indicate that gender inequality in education at primary and tertiary level has positive and significa...
Padilla, Emilio
2006-01-01
This paper analyses the inequality in CO2 emissions across countries (and groups of countries) and the relationship of this inequality with income inequality across countries for the period (1971-1999). The research employs the tools that are usually applied in income distribution analysis. The methodology used here gives qualitative and quantitative information on some of the features of the inequalities across countries that are considered most relevant for the design and discussion of poli...
Emilio Padilla; Alfredo Serrano
2005-01-01
This paper analyses the inequality in CO2 emissions across countries (and groups of countries) and the relationship of this inequality with income inequality across countries for the period (1971-1999). The research employs the tools that are usually applied in income distribution analysis. The methodology used here gives qualitative and quantitative information on some of the features of the inequalities across countries that are considered most relevant for the design and discussion of poli...
Deriving Einstein-Podolsky-Rosen steering inequalities from the few-body Abner Shimony inequalities
Zhou, Jie; Meng, Hui-Xian; Jiang, Shu-Han; Xu, Zhen-Peng; Ren, Changliang; Su, Hong-Yi; Chen, Jing-Ling
2018-04-01
For the Abner Shimony (AS) inequalities, the simplest unified forms of directions attaining the maximum quantum violation are investigated. Based on these directions, a family of Einstein-Podolsky-Rosen (EPR) steering inequalities is derived from the AS inequalities in a systematic manner. For these inequalities, the local hidden state (LHS) bounds are strictly less than the local hidden variable (LHV) bounds. This means that the EPR steering is a form of quantum nonlocality strictly weaker than Bell nonlocality.
Larraz, Beatriz
2015-01-01
The aim of this article is to propose a new breakdown of the Gini inequality ratio into three components ("within-group" inequality, "between-group" inequality, and intensity of "transvariation" between groups to the total inequality index). The between-group inequality concept computes all the differences in salaries…
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. © London School of Economics and Political Science 2014.
Linear inequalities and overlap bounds: a novel use of an operator inequality
International Nuclear Information System (INIS)
Cohen, M.; Leopold, J.G.
1976-01-01
Bounds to overlap integrals are obtained by an operator inequality technique. The formulation involves a set of linear inequalities with several overlap integrals as unknowns. The 'solution' of this set of inequalities leads to bound expressions which complement those of other workers. (author)
International Nuclear Information System (INIS)
Sen, Aditi; Sen, Ujjwal; Zukowski, Marek
2002-01-01
We consider a Bell inequality for a continuous range of settings of the apparatus at each site. This 'functional' Bell inequality gives a better range of violation for generalized Greenberger, Horne, and Zeilinger states. Also a family of N-qubit bound entangled states violate this inequality for N>5
Moreno-Betancur, Margarita; Latouche, Aurélien; Menvielle, Gwenn; Kunst, Anton E.; Rey, Grégoire
2015-01-01
The relative index of inequality and the slope index of inequality are the two major indices used in epidemiologic studies for the measurement of socioeconomic inequalities in health. Yet the current definitions of these indices are not adapted to their main purpose, which is to provide summary
Gender inequalities and demographic behavior.
1995-01-01
A summary was provided of the central findings about gender inequalities in Egypt, India, Ghana, and Kenya published by the Population Council in 1994. These countries exhibited gender inequalities in different ways: the legal, economic, and educational systems; family planning and reproductive health services; and the health care system. All countries had in common a high incidence of widowhood. Widowhood was linked with high levels of insecurity, which were linked with high fertility. Children thus became insurance in old age. In Ghana, women's insecurity was threatened through high levels of marital instability and polygyny. In Egypt, insecurity was translated into economic vulnerability because of legal discrimination against women when family systems were disrupted. In India and all four countries, insecurity was reflective of limited access to education, an impediment to economic autonomy. In all four countries, women's status was inferior due to limited control over reproductive decision making about childbearing limits and contraception. In India, the cultural devaluation of girls contributed to higher fertility to satisfy the desire for sons. In India and Egypt, family planning programs were dominated by male-run organizations that were more concerned about demographic objectives than reproductive health. The universal inequality was the burden women carry for contraception. Family planning programs have ignored the local realities of reproductive behavior, family structures, and gender relations. The assumption that husbands and wives have similar fertility goals or that fathers fully share the costs of children is mistaken in countries such as Ghana. Consequently, fertility has declined less than 13% in Ghana, but fertility has declined by over 30% in Kenya. Family planning programs must be aware of gender issues.
Measuring health inequalities over time
Directory of Open Access Journals (Sweden)
Gustavo Bergonzoli
2007-11-01
Full Text Available Background: several methodologies have been used to measure health inequalities. Most of them do so in a cross- sectional fashion, causing significant loss of information. None of them measure health inequalities in social territories over time. Methods: this article presents two approaches measure health inequalities: one approach consists of a refinement of cross-sectional study, by using the analysis of ANOVA variance (ANOVA procedure to explore whether the gap between social territories is real or due to chance. Several adjustments were made to limit errors inevitably found in multiple comparisons. Polynomial procedures were then applied to identify and evaluate any trends. The second sociales se utilizó approach measures the health gap between social territories or strata (as defined in this study over time using the Poisson regression. These approaches were applied using life expectancy and maternal mortality data from Venezuela. Results: a positive relationship between tendenterritories and life expectancy was found, with a significant cia linal trend. The relation between maternal mortality and materna y territorios sociales fue cuadrática. La medición desocial territories was quadratic. The measurement of the la brecha, gap between least developed social territory and the most, a developed territory showed a gap reduction from the first to the second decade, mainly because of an increase of territorio social maternal mortality in the more developed area, rather than a real improvement in the least developed. Conclusions: study helps to clarify the impact that public policies and interventions have in reducing the health gap. Knowledge that a health gap between social territories can decrease without showing improvement in the least developed sector , is an important finding for monitoring and evaluating health interventions for improving living and health conditions in the population.
Correlations between Income inequality and antimicrobial resistance.
Kirby, Andrew; Herbert, Annie
2013-01-01
The aim of this study is to investigate if correlations exist between income inequality and antimicrobial resistance. This study's hypothesis is that income inequality at the national level is positively correlated with antimicrobial resistance within developed countries. Income inequality data were obtained from the Standardized World Income Inequality Database. Antimicrobial resistance data were obtained from the European antimicrobial Resistance Surveillance Network and outpatient antimicrobial consumption data, measured by Defined daily Doses per 1000 inhabitants per day, from the European Surveillance of antimicrobial Consumption group. Spearman's correlation coefficient (r) defined strengths of correlations of: > 0.8 as strong, > 0.5 as moderate and > 0.2 as weak. Confidence intervals and p values were defined for all r values. Correlations were calculated for the time period 2003-10, for 15 European countries. Income inequality and antimicrobial resistance correlations which were moderate or strong, with 95% confidence intervals > 0, included the following. Enterococcus faecalis resistance to aminopenicillins, vancomycin and high level gentamicin was moderately associated with income inequality (r= ≥0.54 for all three antimicrobials). Escherichia coli resistance to aminoglycosides, aminopenicillins, third generation cephalosporins and fluoroquinolones was moderately-strongly associated with income inequality (r= ≥0.7 for all four antimicrobials). Klebsiella pneumoniae resistance to third generation cephalosporins, aminoglycosides and fluoroquinolones was moderately associated with income inequality (r= ≥0.5 for all three antimicrobials). Staphylococcus aureus methicillin resistance and income inequality were strongly associated (r=0.87). As income inequality increases in European countries so do the rates of antimicrobial resistance for bacteria including E. faecalis, E. coli, K. pneumoniae and S. aureus. Further studies are needed to confirm these
Nonlinearity and cross-country dependence of income inequality
Leena Kalliovirta; Tuomas Malinen
2015-01-01
We use top income data and the newly developed regime switching Gaussian mixture vector autoregressive model to explain the dynamics of income inequality in developed economies within the last 100 years. Our results indicate that the process of income inequality consists of two equilibriums identifiable by high inequality, high income fluctuations and low inequality, low income fluctuations. Our results also show that income inequality in the U.S. is the driver of income inequality in other d...
Social Inequalities in Youth Volunteerism
DEFF Research Database (Denmark)
Bonnesen, Lærke
2017-01-01
Civic participation among today’s youth is a topic of widespread concern for policy-makers, academics, and the publics of Western countries at large. Though scholars have increasingly become aware of deep-rooted social inequalities in access to volunteering in the adult population, differences...... with multiple waves enriched with national register data. The study sheds light on the changing importance of longstanding dividing lines—gender, social class, and education—in volunteering trends among the young. While young people are seemingly more gender-equal in their volunteering behavior than older...
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
Technological policy and wage inequality
Cozzi, Guido; Impullitti, Giammario
2006-01-01
In this paper we argue that government procurement policy played a role in stimulating the wave of innovation that hit the US economy in the 1980's, as well as the simultaneous increase in inequality and in education attainment. Since the early 1980's U.S. policy makers began targeting commercial innovations more directly and explicitly. We focus on the shift in the composition of public demand towards high-tech goods which, by increasing the market-size of innovative �rms, fun...
Quantum Inequalities and Sequential Measurements
International Nuclear Information System (INIS)
Candelpergher, B.; Grandouz, T.; Rubinx, J.L.
2011-01-01
In this article, the peculiar context of sequential measurements is chosen in order to analyze the quantum specificity in the two most famous examples of Heisenberg and Bell inequalities: Results are found at some interesting variance with customary textbook materials, where the context of initial state re-initialization is described. A key-point of the analysis is the possibility of defining Joint Probability Distributions for sequential random variables associated to quantum operators. Within the sequential context, it is shown that Joint Probability Distributions can be defined in situations where not all of the quantum operators (corresponding to random variables) do commute two by two. (authors)
Poverty Mapping Project: Small Area Estimates of Poverty and Inequality
National Aeronautics and Space Administration — The Small Area Estimates of Poverty and Inequality dataset consists of consumption-based poverty, inequality and related measures for subnational administrative...
A relevant two qubit Bell inequality inequivalent to the CHSH inequality
International Nuclear Information System (INIS)
Collins, Daniel; Gisin, Nicolas
2004-01-01
We computationally investigate the complete polytope of Bell inequalities for two particles with small numbers of possible measurements and outcomes. Our approach is limited by Pitowsky's connection of this problem to the computationally hard NP problem. Despite this, we find that there are very few relevant inequivalent inequalities for small numbers. For example, in the case with three possible 2-outcome measurements on each particle, there is just one new inequality. We describe mixed 2-qubit states which violate this inequality but not the CHSH. The new inequality also illustrates a sharing of bi-partite non-locality between three qubits: something not seen using the CHSH inequality. It also inspires us to discover a class of Bell inequalities with m possible n-outcome measurements on each particle
Children Rectify Inequalities for Disadvantaged Groups
Elenbaas, Laura; Killen, Melanie
2016-01-01
Children's decisions regarding the allocation of societal resources in the context of preexisting inequalities were investigated. African American and European American children ages 5 to 6 years (n = 91) and 10 to 11 years (n = 94) judged the acceptability of a medical resource inequality on the basis of race, allocated medical supplies,…
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
Some new generalizations of Hardy's integral inequalities
International Nuclear Information System (INIS)
Oguntuase, James Adedayo
2002-07-01
In this paper, some new generalizations of Hardy's integral inequalities are obtained. These inequalities on the one hand generalize and on the other hand improve some existing results by Bicheng et al. [J. Math. Anal. Appl. 217(1998), 321-327]. (author)
Inequality and growth : The neglected time dimension
Halter, D.; Oechslin, M.C.; Zweimüller, J.
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
American Higher Education and Income Inequality
Hill, Catharine B.
2016-01-01
This paper demonstrates that increasing income inequality can contribute to the trends we see in American higher education, particularly in the selective, private nonprofit and public sectors. Given these institutions' selective admissions and commitment to socioeconomic diversity, the paper demonstrates how increasing income inequality leads to…
Inequality Aversion and Voting on Redistribution
DEFF Research Database (Denmark)
Höchtl, Wolfgang; Sausgruber, Rupert; Tyran, Jean-Robert
of income classes. We experimentally study voting on redistribution between two income classes and show that the effect of inequality aversion is asymmetric. Inequality aversion is more likely to matter if the “rich” are in majority. With a “poor” majority, we find that redistribution outcomes look...
Classifying 50 years of Bell inequalities
International Nuclear Information System (INIS)
Rosset, Denis; Gisin, Nicolas; Bancal, Jean-Daniel
2014-01-01
Since John S Bell demonstrated the interest of studying linear combinations of probabilities in relation with the EPR paradox in 1964, Bell inequalities have lead to numerous developments. Unfortunately, the description of Bell inequalities is subject to several degeneracies, which make any exchange of information about them unnecessarily hard. Here, we analyze these degeneracies and propose a decomposition for Bell-like inequalities based on a set of reference expressions which is not affected by them. These reference expressions set a common ground for comparing Bell inequalities. We provide algorithms based on finite group theory to compute this decomposition. Implementing these algorithms allows us to set up a compendium of reference Bell-like inequalities, available online at www.faacets.com. This website constitutes a platform where registered Bell-like inequalities can be explored, new inequalities can be compared to previously-known ones and relevant information on Bell inequalities can be added in a collaborative manner. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘50 years of Bell’s theorem’. (paper)
Quantum team logic and Bell's inequalities
Hyttinen, T.; Paolini, G.; Väänänen, J.
2015-01-01
A logical approach to Bell’s Inequalities of quantum mechanics has been introduced by Abramsky and Hardy (Abramsky & Hardy, 2012). We point out that the logical Bell’s Inequalities of Abramsky & Hardy (2012) are provable in the probability logic of Fagin, Halpern and Megiddo (Fagin et al., 1990).
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…
Growth and Inequality: A Meta-Analysis
de Groot, H.L.F.; de Dominicis, L.; Florax, R.J.G.M.
2008-01-01
In recent years there is a growing interest in determining the impact of inequality on economic growth. Theoretical papers as well as empirical applications have, however, produced controversial results. Although there is a considerable part of the literature that considers inequality detrimental to
Classifying 50 years of Bell inequalities
Rosset, Denis; Bancal, Jean-Daniel; Gisin, Nicolas
2014-10-01
Since John S Bell demonstrated the interest of studying linear combinations of probabilities in relation with the EPR paradox in 1964, Bell inequalities have lead to numerous developments. Unfortunately, the description of Bell inequalities is subject to several degeneracies, which make any exchange of information about them unnecessarily hard. Here, we analyze these degeneracies and propose a decomposition for Bell-like inequalities based on a set of reference expressions which is not affected by them. These reference expressions set a common ground for comparing Bell inequalities. We provide algorithms based on finite group theory to compute this decomposition. Implementing these algorithms allows us to set up a compendium of reference Bell-like inequalities, available online at www.faacets.com. This website constitutes a platform where registered Bell-like inequalities can be explored, new inequalities can be compared to previously-known ones and relevant information on Bell inequalities can be added in a collaborative manner. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘50 years of Bell’s theorem’.
Income Inequality, Global Economy and the State
Lee, Cheol-Sung; Nielsen, Francois; Alderson, Arthur S.
2007-01-01
We investigate interrelationship among income inequality, global economy and the role of the state using an unbalanced panel data set with 311 observations on 60 countries, dated from 1970 to 1994. The analysis proceeds in two stages. First, we test for effects on income inequality of variables characterizing the situation of a society in the…
An index of inequality in China
Guan, Dabo
2017-10-01
Household income is a typical measure of inequality, but it is limited by under-reporting, especially for rural Chinese households. A new study shows that energy consumption measures service flows of household durable electronics, which can provide more precise measurement of rural wealth inequalities and distributions.
Growing Income Inequality Threatens American Education
Duncan, Greg J.; Murnane, Richard J.
2014-01-01
The first of two articles in consecutive months describes the origins and nature of growing income inequality, and some of its consequences for American children. It documents the increased family income inequality that's occurred over the past 40 years and shows that the increased income disparity has been more than matched by an expanding…
Income Inequality and the Education Divide.
Welch, Mary A., Ed.
1998-01-01
The economics of the decision to go to college or obtain technical training is discussed in this booklet. To stay competitive in the job market requires constant educational updating. The following questions are discussed: (1) how income inequality is measured; (2) how income is distributed in the United States; (3) why income inequality is…
Some equalities and inequalities for fusion frames
Guo, Qianping; Leng, Jinsong; Li, Houbiao
2016-01-01
Fusion frames have some properties similar to those of frames in Hilbert spaces, but not all of their properties are similar. Some authors have established some equalities and inequalities for conventional frames. In this paper, we give some equalities and inequalities for fusion frames. Our results generalize and improve the remarkable results which have been obtained by Balan, Casazza and G?vruta etc.
M.P. García-Gómez (Pilar); T.G.M. van Ourti (Tom); T.M. Bago d'Uva (Teresa)
2012-01-01
textabstractWe apply the theory of inequality in opportunity to measure inequity in mortality. Our empirical work is based on a rich dataset for the Netherlands (1998-2007), linking information about mortality, health events and lifestyles. We show that distinguishing between different channels via
Inequality aversion and voting on redistribution
DEFF Research Database (Denmark)
Höchtl, Wolfgang; Sausgruber, Rupert; Tyran, Jean-Robert Karl
2012-01-01
of income classes. We experimentally study voting on redistribution between two income classes and show that the effect of inequality aversion is asymmetric. Inequality aversion is more likely to matter if the “rich” are in majority. With a “poor” majority, we find that redistribution outcomes look...
Unhealthy societies: the afflictions of inequality
National Research Council Canada - National Science Library
Wilkinson, Richard G
1996-01-01
... of the corrosive effects of inequality. The public arena becomes a source of supportive social networks rather than of stress and potential conflict. As well as weakening the social fabric and damaging health, inequality increases crime rates and violence. Unhealthy Societies shows that social cohesion is crucial to the quality of life. Increase...
Examining Inequities in Teacher Pension Benefits
Shuls, James V.
2017-01-01
From funding to teacher quality, inequities exist between school districts. This paper adds to the literature on inequities by examining the impact of pension plan formulas on pension benefits. Using data from the salary schedules of 464 Missouri school districts, this paper analyzes how various final average salary calculations would impact the…
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…
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
Stolarsky's inequality for Choquet-like expectation
Czech Academy of Sciences Publication Activity Database
Agahi, H.; Mesiar, Radko
2016-01-01
Roč. 66, č. 5 (2016), s. 1235-1248 ISSN 0139-9918 Institutional support: RVO:67985556 Keywords : Choquet-like expectation * Stolarsky’s inequality * Minkowski’s inequality Subject RIV: BA - General Mathematics Impact factor: 0.346, year: 2016 http://library.utia.cas.cz/separaty/2016/E/mesiar-0469701.pdf
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…
Introduction: international academic mobility and inequalities
Belicen, B.; Van Mol, C.
2017-01-01
Higher education is one of the social fields where inequalities are produced and reproduced. Nevertheless, we still know very little about the ways in which heterogeneities and inequalities have been experienced and interpreted by those involved in international academic mobility. In this
Grothendieck Inequalities, Nonlocal Games and Optimization
J. Briët (Jop)
2011-01-01
htmlabstractMotivated 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
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
Racial Inequity in Special Education Undefined
Losen, Daniel J., Ed.; Orfield, Gary, Ed.
2002-01-01
An illuminating account of a widespread problem that has received little attention, "Racial Inequity in Education" sets the stage for a more fruitful discussion about special education and racial justice. An illuminating account of a widespread problem that has received little attention, "Racial Inequity in Education" sets the…
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...
The Prehistory of the Hardy Inequality
Czech Academy of Sciences Publication Activity Database
Kufner, Alois; Maligranda, L.; Persson, L.E.
2006-01-01
Roč. 113, č. 8 (2006), s. 715-732 ISSN 0002-9890 R&D Projects: GA AV ČR(CZ) IAA1019305 Institutional research plan: CEZ:AV0Z10190503 Keywords : Hardy´s inequality * Hilbert´s inequality * Riesz * Landau Subject RIV: BA - General Mathematics Impact factor: 0.237, year: 2006
Inequality and Development Challenges | IDRC - International ...
International Development Research Centre (IDRC) Digital Library (Canada)
2013-08-30
Inequality and Development Challenges. Couverture du livre Inequality and Development Challenges. Editor(s):. Maria Clara Couto Soares, Mario Scerri et Rasigan Maharajh. Publisher(s):. Routledge, CRDI. August 30, 2013. ISBN: 9780415710329. 372 pages. e-ISBN: 9781552505571. Download PDF · Read the e-book.
Inequality and Development Challenges | CRDI - Centre de ...
International Development Research Centre (IDRC) Digital Library (Canada)
Inequality and Development Challenges. Couverture du livre Inequality and Development Challenges. Directeur(s):. Maria Clara Couto Soares, Mario Scerri et Rasigan Maharajh. Maison(s) d'édition: Routledge, CRDI. 30 août 2013. ISBN : 9780415710329. 372 pages. e-ISBN : 9781552505571. Téléchargez le PDF.
Inequalities in health and gender.
Haavio-Mannila, E
1986-01-01
Gender inequalities in health are studied in Denmark, Finland, Norway and Sweden on the basis of survey data on morbidity and symptoms of anxiety, and of mental hospitalization statistics. Women have higher rates of illness than men in countries where, and in periods when, they have to a great extent stayed at home as full-time housewives. Participation in paid economic activity and the resulting economical independence thus seems to be beneficial to women's health on the macro-level of society. On the micro-level of individual families, inequality in morbidity by gender is smaller in families with two economical providers than in families where the wife stays at home. The anxiety rates of employed wives are, however, relatively high compared with those of men and non-employed wives. Only in Sweden is the mental health of employed wives good, perhaps because of supportive social policies favouring women's work outside the home. The strain involved in combining family and work among women thus becomes manifest in the appearance of symptoms of anxiety but not in physical morbidity nor mental hospitalization.
Classical counterexamples to Bell's inequalities
International Nuclear Information System (INIS)
Orlov, Yuri F.
2002-01-01
This paper shows that a classical system containing a conventional yes/no decision-making component can behave like a quantum system of spin measurements in many ways (although it lacks a wave function) when, in principle, there are no deterministic decision procedures to govern the decision making, and when probabilistic decision procedures consistent with the system are introduced. Most notably, the system violates Bell's inequalities. Moreover, since the system is simple and macroscopic, its similarities to quantum systems arguably provide an insight into quantum mechanics and, in particular, EPR experiments. Thus, from the qualitative correspondences, decisions↔quantum measurements and the impossibility of deterministic decision procedures↔quantum noncommutativity, we conclude that the violation of Bell's inequalities in quantum mechanics does not require the existence of an unknown nonclassical nonlocality. It can merely be a result of local noncommutativity combined with nonlocalities of the classical type. The proposed classical decision-making system is a nonquantum theoretical construct possessing complementarity features in Bohr's sense
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.
Data assimilation with inequality constraints
Thacker, W. C.
If values of variables in a numerical model are limited to specified ranges, these restrictions should be enforced when data are assimilated. The simplest option is to assimilate without regard for constraints and then to correct any violations without worrying about additional corrections implied by correlated errors. This paper addresses the incorporation of inequality constraints into the standard variational framework of optimal interpolation with emphasis on our limited knowledge of the underlying probability distributions. Simple examples involving only two or three variables are used to illustrate graphically how active constraints can be treated as error-free data when background errors obey a truncated multi-normal distribution. Using Lagrange multipliers, the formalism is expanded to encompass the active constraints. Two algorithms are presented, both relying on a solution ignoring the inequality constraints to discover violations to be enforced. While explicitly enforcing a subset can, via correlations, correct the others, pragmatism based on our poor knowledge of the underlying probability distributions suggests the expedient of enforcing them all explicitly to avoid the computationally expensive task of determining the minimum active set. If additional violations are encountered with these solutions, the process can be repeated. Simple examples are used to illustrate the algorithms and to examine the nature of the corrections implied by correlated errors.
Exposure to inequality affects support for redistribution.
Sands, Melissa L
2017-01-24
The distribution of wealth in the United States and countries around the world is highly skewed. How does visible economic inequality affect well-off individuals' support for redistribution? Using a placebo-controlled field experiment, I randomize the presence of poverty-stricken people in public spaces frequented by the affluent. Passersby were asked to sign a petition calling for greater redistribution through a "millionaire's tax." Results from 2,591 solicitations show that in a real-world-setting exposure to inequality decreases affluent individuals' willingness to redistribute. The finding that exposure to inequality begets inequality has fundamental implications for policymakers and informs our understanding of the effects of poverty, inequality, and economic segregation. Confederate race and socioeconomic status, both of which were randomized, are shown to interact such that treatment effects vary according to the race, as well as gender, of the subject.
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.
Geometric inequalities for axially symmetric black holes
International Nuclear Information System (INIS)
Dain, Sergio
2012-01-01
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 play an important role in the characterization of the gravitational collapse; they are closely related with the cosmic censorship conjecture. Axially symmetric black holes are the natural candidates to study these inequalities because the quasi-local angular momentum is well defined for them. We review recent results in this subject and we also describe the main ideas behind the proofs. Finally, a list of relevant open problems is presented. (topical review)
A complete set of multidimensional Bell inequalities
International Nuclear Information System (INIS)
Arnault, François
2012-01-01
We give a multidimensional generalization of the complete set of Bell-correlation inequalities given by Werner and Wolf (2001 Phys. Rev. A 64 032112) and by Zukowski and Brukner (2002 Phys. Rev. Lett. 88 210401), for the two-dimensional case. Our construction applies to the n-party, two-observable case, where each observable is d-valued. The d d n inequalities obtained involve homogeneous polynomials. They define the facets of a polytope in a complex vector space of dimension d n . We detail the inequalities obtained in the case d = 3 and, from them, we recover known inequalities. We finally explain how the violations of our inequalities by quantum mechanics can be computed and could be observed, when using unitary observables. (paper)
Exposure to inequality affects support for redistribution
Sands, Melissa L.
2017-01-01
The distribution of wealth in the United States and countries around the world is highly skewed. How does visible economic inequality affect well-off individuals’ support for redistribution? Using a placebo-controlled field experiment, I randomize the presence of poverty-stricken people in public spaces frequented by the affluent. Passersby were asked to sign a petition calling for greater redistribution through a “millionaire’s tax.” Results from 2,591 solicitations show that in a real-world-setting exposure to inequality decreases affluent individuals’ willingness to redistribute. The finding that exposure to inequality begets inequality has fundamental implications for policymakers and informs our understanding of the effects of poverty, inequality, and economic segregation. Confederate race and socioeconomic status, both of which were randomized, are shown to interact such that treatment effects vary according to the race, as well as gender, of the subject. PMID:28069960
Erreygers, Guido; Van Ourti, Tom
2011-07-01
The tools to be used and other choices to be made when measuring socioeconomic inequalities with rank-dependent inequality indices have recently been debated in this journal. This paper adds to this debate by stressing the importance of the measurement scale, by providing formal proofs of several issues in the debate, and by lifting the curtain on the confusing debate between adherents of absolute versus relative health differences. We end this paper with a 'matrix' that provides guidelines on the usefulness of several rank-dependent inequality indices under varying circumstances. Copyright © 2011 Elsevier B.V. All rights reserved.
Post-1500 Population Flows and the Long Run Determinants of Economic Growth and Inequality.
Putterman, Louis; Weil, David N
2010-01-01
We construct a matrix showing the share of the year 2000 population in every country that is descended from people in different source countries in the year 1500. Using the matrix to adjust indicators of early development so they reflect the history of a population's ancestors rather than the history of the place they live today greatly improves the ability of those indicators to predict current GDP. The variance of early development history of a country's inhabitants is a good predictor for current inequality, with ethnic groups originating in regions having longer histories of organized states tending to be at the upper end of a country's income distribution.
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.
On economic inequality and social welfare
Directory of Open Access Journals (Sweden)
Begović Boris
2015-01-01
Full Text Available The aim of the paper is to explore the relations between economic inequality and social welfare staring from the assumption that causality goes from economic inequality to social welfare. Standard methodological framework of economic science was enhanced with interpersonal function of individual welfare so the effects of economic inequality of the level of social welfare can be considered. It was demonstrated that there is no unequivocal theoretical conclusion and that differences in the preferences among people should be empirical considered for more insights. The analysis of the consequences of economic inequality to economic growth, i.e. dynamics of social welfare, demonstrated that there are numerous mechanisms of causality with the countervailing effects. The most important mechanism by which inequality speeds-up economic growth is based on the increased saving and invents rates, and the most important mechanism by which it slows-down growth is based on decreasing investments in human capital. Accordingly, there is no unequivocal theoretical conclusion also in this case. Nonetheless, modern growth theory has demonstrated that that the most dangerous economic growth is inequality of the treatment of economic agents, i.e. discrimination and exclusion, as that kind of inequality creates substantial allocative inefficiency.
Bell's inequalities and physical reality
International Nuclear Information System (INIS)
Chylinski, Z.
1985-01-01
Bell's theory proves the nonlocal character of quantum mechanics alien to the theory of relativity, which shows how essential were the objections of Einstein against quantum mechanics. Since the experiment on Bell's inequalities favours quantum mechanics, this forces one to revise the notion of physical reality. According to Heisenberg one should distinguish between the quantum-potential reality of relations and the classical-actual reality of events. The hypothesis of internal space-time put forward in previous papers supplies the geometrical framework of such a philosophy. Consequently, relations between the constituents of isolated systems precede the space-time events, which fact essentially modifies the meaning of quantum nonlocality and the physical reality itself. 19 refs. (author)
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
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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.
Directory of Open Access Journals (Sweden)
Huaiqin Wu
2012-01-01
Full Text Available By combing the theories of the switched systems and the interval neural networks, the mathematics model of the switched interval neural networks with discrete and distributed time-varying delays of neural type is presented. A set of the interval parameter uncertainty neural networks with discrete and distributed time-varying delays of neural type are used as the individual subsystem, and an arbitrary switching rule is assumed to coordinate the switching between these networks. By applying the augmented Lyapunov-Krasovskii functional approach and linear matrix inequality (LMI techniques, a delay-dependent criterion is achieved to ensure to such switched interval neural networks to be globally asymptotically robustly stable in terms of LMIs. The unknown gain matrix is determined by solving this delay-dependent LMIs. Finally, an illustrative example is given to demonstrate the validity of the theoretical results.
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Songlin Wo
2018-01-01
Full Text Available Singular systems arise in a great deal of domains of engineering and can be used to solve problems which are more difficult and more extensive than regular systems to solve. Therefore, in this paper, the definition of finite-time robust H∞ control for uncertain linear continuous-time singular systems is presented. The problem we address is to design a robust state feedback controller which can deal with the singular system with time-varying norm-bounded exogenous disturbance, such that the singular system is finite-time robust bounded (FTRB with disturbance attenuation γ. Sufficient conditions for the existence of solutions to this problem are obtained in terms of linear matrix equalities (LMIs. When these LMIs are feasible, the desired robust controller is given. A detailed solving method is proposed for the restricted linear matrix inequalities. Finally, examples are given to show the validity of the methodology.
Vadivel, P.; Sakthivel, R.; Mathiyalagan, K.; Arunkumar, A.
2013-09-01
This paper addresses the issue of robust state estimation for a class of fuzzy bidirectional associative memory (BAM) neural networks with time-varying delays and parameter uncertainties. By constructing the Lyapunov-Krasovskii functional, which contains the triple-integral term and using the free-weighting matrix technique, a set of sufficient conditions are derived in terms of linear matrix inequalities (LMIs) to estimate the neuron states through available output measurements such that the dynamics of the estimation error system is robustly asymptotically stable. In particular, we consider a generalized activation function in which the traditional assumptions on the boundedness, monotony and differentiability of the activation functions are removed. More precisely, the design of the state estimator for such BAM neural networks can be obtained by solving some LMIs, which are dependent on the size of the time derivative of the time-varying delays. Finally, a numerical example with simulation result is given to illustrate the obtained theoretical results.
International Nuclear Information System (INIS)
Vadivel, P; Sakthivel, R; Mathiyalagan, K; Arunkumar, A
2013-01-01
This paper addresses the issue of robust state estimation for a class of fuzzy bidirectional associative memory (BAM) neural networks with time-varying delays and parameter uncertainties. By constructing the Lyapunov–Krasovskii functional, which contains the triple-integral term and using the free-weighting matrix technique, a set of sufficient conditions are derived in terms of linear matrix inequalities (LMIs) to estimate the neuron states through available output measurements such that the dynamics of the estimation error system is robustly asymptotically stable. In particular, we consider a generalized activation function in which the traditional assumptions on the boundedness, monotony and differentiability of the activation functions are removed. More precisely, the design of the state estimator for such BAM neural networks can be obtained by solving some LMIs, which are dependent on the size of the time derivative of the time-varying delays. Finally, a numerical example with simulation result is given to illustrate the obtained theoretical results. (paper)
On the Penrose inequality along null hypersurfaces
International Nuclear Information System (INIS)
Mars, Marc; Soria, Alberto
2016-01-01
The null Penrose inequality, i.e. the Penrose inequality in terms of the Bondi energy, is studied by introducing a functional on surfaces and studying its properties along a null hypersurface Ω 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 Asymptotically 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 (1983 J. Phys. A: Math. Gen. 16 3349–53) and Bergqvist (1997 Class. Quantum Grav. 14 2577–83). By exploiting further properties of the functional along general geodesic foliations, we introduce an approach to the null Penrose inequality called the Renormalized Area Method and find a set of two conditions which imply the validity of the null Penrose inequality. One of the conditions involves a limit at infinity and the other a restriction on the spacetime curvature along the flow. We investigate their range of applicability in two particular but interesting cases, namely the shear-free and vacuum case, where the null Penrose inequality is known to hold from the results by Sauter (2008 PhD Thesis Zürich ETH ), and the case of null shells propagating in the Minkowski spacetime. Finally, a general inequality bounding the area of the quasi-local black hole in terms of an asymptotic quantity intrinsic of Ω is derived. (paper)
Efficiency criterion for teleportation via channel matrix, measurement matrix and collapsed matrix
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Xin-Wei Zha
Full Text Available In this paper, three kinds of coefficient matrixes (channel matrix, measurement matrix, collapsed matrix associated with the pure state for teleportation are presented, the general relation among channel matrix, measurement matrix and collapsed matrix is obtained. In addition, a criterion for judging whether a state can be teleported successfully is given, depending on the relation between the number of parameter of an unknown state and the rank of the collapsed matrix. Keywords: Channel matrix, Measurement matrix, Collapsed matrix, Teleportation
Intra-Family Inequality and Justice
DEFF Research Database (Denmark)
Landes, Xavier; Nielsen, Morten Ebbe Juul
2012-01-01
In “The Pecking Order,” Dalton Conley argues that inequalities between siblings are larger than inequalities at the level of the overall society. Our article discusses the normative implications for institutions of this observation. We show that the question of state intervention for curbing intra......-family inequality reveals an internal tension within liberalism between autonomy and toleration, which bears on the forms that the intervention of institutions may take. Despite the pros and cons of both commitments, autonomy-based liberalism appears more compatible with the involvement of the state for egalitarian...
Product market integration, rents and wage inequality
DEFF Research Database (Denmark)
Andersen, Torben M.; Sørensen, Allan
"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......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...
Testing locality at colliders via Bell's inequality?
International Nuclear Information System (INIS)
Abel, S.A.; Dreiner, H.; Dittmar, M.
1992-01-01
We consider a measurement of correlated spins at LEP and show that it does not constitute a general test of local-realistic theories via Bell's inequality. The central point of the argument is that such tests, where the spins of two particles are inferred from a scattering distribution, can be described by a local hidden variable theory. We conclude that with present experimental techniques it is not possible to test locality via Bell's inequality at a collider experiment. Finally we suggest an improved fixed-target experiment as a viable test of Bell's inequality. (orig.)
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....
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
Bertlmann-Martin inequalities in hypernuclei
International Nuclear Information System (INIS)
Lombard, R.J.; Marcos, S.; Mares, J.
1994-01-01
Inequalities have been established by Bertlmann and Martin which link the rms radius and the kinetic energy of the 1s orbit to the lowest dipole transition energy. The derivation is based on the Thomas-Reiche-Kuhn sum rule, which requires a local Hamiltonian. In the present work, we extend these inequalities to Hamiltonian where the nonlocality can be expressed via spatial dependent effective mass. We discuss the case of hypernuclei, which provides a suitable example to verify the Bertlmann-Martin inequalities
Entanglement polygon inequality in qubit systems
Qian, Xiao-Feng; Alonso, Miguel A.; Eberly, J. H.
2018-06-01
We prove a set of tight entanglement inequalities for arbitrary N-qubit pure states. By focusing on all bi-partite marginal entanglements between each single qubit and its remaining partners, we show that the inequalities provide an upper bound for each marginal entanglement, while the known monogamy relation establishes the lower bound. The restrictions and sharing properties associated with the inequalities are further analyzed with a geometric polytope approach, and examples of three-qubit GHZ-class and W-class entangled states are presented to illustrate the results.
Conical differentiability for evolution variational inequalities
Jarušek, Jiří; Krbec, Miroslav; Rao, Murali; Sokołowski, Jan
The conical differentiability of solutions to the parabolic variational inequality with respect to the right-hand side is proved in the paper. From one side the result is based on the Lipschitz continuity in H {1}/{2},1 (Q) of solutions to the variational inequality with respect to the right-hand side. On the other side, in view of the polyhedricity of the convex cone K={v∈ H;v |Σ c⩾0,v |Σ d=0}, we prove new results on sensitivity analysis of parabolic variational inequalities. Therefore, we have a positive answer to the question raised by Fulbert Mignot (J. Funct. Anal. 22 (1976) 25-32).
Extended biorthogonal matrix polynomials
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Ayman Shehata
2017-01-01
Full Text Available The pair of biorthogonal matrix polynomials for commutative matrices were first introduced by Varma and Tasdelen in [22]. The main aim of this paper is to extend the properties of the pair of biorthogonal matrix polynomials of Varma and Tasdelen and certain generating matrix functions, finite series, some matrix recurrence relations, several important properties of matrix differential recurrence relations, biorthogonality relations and matrix differential equation for the pair of biorthogonal matrix polynomials J(A,B n (x, k and K(A,B n (x, k are discussed. For the matrix polynomials J(A,B n (x, k, various families of bilinear and bilateral generating matrix functions are constructed in the sequel.
Matrix completion by deep matrix factorization.
Fan, Jicong; Cheng, Jieyu
2018-02-01
Conventional methods of matrix completion are linear methods that are not effective in handling data of nonlinear structures. Recently a few researchers attempted to incorporate nonlinear techniques into matrix completion but there still exists considerable limitations. In this paper, a novel method called deep matrix factorization (DMF) is proposed for nonlinear matrix completion. Different from conventional matrix completion methods that are based on linear latent variable models, DMF is on the basis of a nonlinear latent variable model. DMF is formulated as a deep-structure neural network, in which the inputs are the low-dimensional unknown latent variables and the outputs are the partially observed variables. In DMF, the inputs and the parameters of the multilayer neural network are simultaneously optimized to minimize the reconstruction errors for the observed entries. Then the missing entries can be readily recovered by propagating the latent variables to the output layer. DMF is compared with state-of-the-art methods of linear and nonlinear matrix completion in the tasks of toy matrix completion, image inpainting and collaborative filtering. The experimental results verify that DMF is able to provide higher matrix completion accuracy than existing methods do and DMF is applicable to large matrices. Copyright © 2017 Elsevier Ltd. All rights reserved.
Globally exponential synchronization in an array of asymmetric coupled neural networks
International Nuclear Information System (INIS)
Lu Jianquan; Ho, Daniel W.C.; Liu Ming
2007-01-01
In this Letter, we study the globally exponential synchronization in an array of linearly coupled neural networks with delayed coupling. The coupling configuration matrix is assumed to be asymmetric, which is more coincident with the real-world network. The difficulty arising from the asymmetry of the coupling matrix has been overcame in this work. Some synchronization criteria are given in terms of strict linear matrix inequalities (LMIs), which can be efficiently solved by using interior point algorithm. Some previous synchronization results are generalized. Numerical simulation is also given to verify our theoretical analysis
Income Inequality: Impact of Inequality Measures on Crimes An Analysis of the State of New Jersey
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Bertram C. Ifeanyi OKPOKWASILI
2016-05-01
Full Text Available This research used time-series data for the 50 year period of 1964 to 2014 to investigate the relationship between income inequalities and crimes in the state of New Jersey, United States of America. It found that income inequality had a significant relationship to all four types of crime measured – murder, forcible rape, aggravated assault and property crimes. Statistical significance would seem to depend on the model and inequality measure used. A log-log relationship existed between inequalities and all the crimes. Different inequality measures enabled different measures of significance. It also found that it was possible to come to different conclusions with respect to the relationships by using different inequality measures- the Gini and the 20/20 measures in our case.
Educational inequality in cardiovascular disease depends on diagnosis
DEFF Research Database (Denmark)
Christensen, Anne V; Koch, Mette B; Davidsen, Michael
2016-01-01
BACKGROUND: Social inequality is present in the morbidity as well as the mortality of cardiovascular diseases. This paper aims to quantify and compare the level of educational inequality across different cardiovascular diagnoses. DESIGN: Register based study. METHODS: Comparison of the extent...... index of inequality: -29 (-35.1; -21.9) to -1 (-4.8; -3.8)). CONCLUSION: The degree of educational inequality in cardiovascular diseases depends on the diagnosis, with the highest inequality in ischaemic heart disease, acute myocardial infarction, heart failure and stroke. Small differences were found...... of inequality across different cardiovascular diagnoses requires a measure of inequality which is comparable across subgroups with different educational distributions. The slope index of inequality and the relative index of inequality were applied for measuring inequalities in incidence of six cardiovascular...
Stochastic synchronization of coupled neural networks with intermittent control
International Nuclear Information System (INIS)
Yang Xinsong; Cao Jinde
2009-01-01
In this Letter, we study the exponential stochastic synchronization problem for coupled neural networks with stochastic noise perturbations. Based on Lyapunov stability theory, inequality techniques, the properties of Weiner process, and adding different intermittent controllers, several sufficient conditions are obtained to ensure exponential stochastic synchronization of coupled neural networks with or without coupling delays under stochastic perturbations. These stochastic synchronization criteria are expressed in terms of several lower-dimensional linear matrix inequalities (LMIs) and can be easily verified. Moreover, the results of this Letter are applicable to both directed and undirected weighted networks. A numerical example and its simulations are offered to show the effectiveness of our new results.
Directory of Open Access Journals (Sweden)
Maode Yan
2008-01-01
Full Text Available This paper considers the problem of robust discrete-time sliding-mode control (DT-SMC design for a class of uncertain linear systems with time-varying delays. By applying a descriptor model transformation and Moon's inequality for bounding cross terms, a delay-dependent sufficient condition for the existence of stable sliding surface is given in terms of linear matrix inequalities (LMIs. Based on this existence condition, the synthesized sliding mode controller can guarantee the sliding-mode reaching condition of the specified discrete-time sliding surface for all admissible uncertainties and time-varying delays. An illustrative example verifies the effectiveness of the proposed method.
"All Types of Inequality are Not Created Equal: Divergent Impacts of Inequality on Economic Growth"
Stephanie Seguino
2005-01-01
Evidence of an increase in various forms of inequality since the 1970s has motivated research on its relationship to growth and development. The findings of that research are contradictory and inconclusive. One source of these divergent results is that researchers rely on different group measures of inequality. Inequality by gender, household, class, and ethnicity may produce divergent effects on growth since they operate on macroeconomic outcomes via alternative pathways. Further, even withi...
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 Comparative Organizational Inequality Network: Toward an Economic Sociology of Inequality
Tomaskovic-Devey , Donald; Godechot, Olivier
2017-01-01
The international Comparative Organizational Inequality Network (COIN) asks: • What factors drive overall income inequality within and between workplaces? • How do workplaces exacerbate or mitigate the impact of individual distinctions, such as education level, gender, or immigrant status? • How do inequality-generating mechanisms vary as a function of institutional context? List of authors: Donald Tomaskovic-Devey with Nina Bandelj, Irene Boeckmann, István Boza, David Co...
Khoreva, Violetta
2012-01-01
A growing awareness of gender inequality as well as a conviction that it should be eliminated has produced a number of studies aiming at uncovering its reasons. Much less attention has been given to the subjective dimension of how individuals perceive gender inequality. One of the main elements of gender inequality, the gender pay gap, has also received considerable attention by scholars all around the world. However, several researchers documented that their respondents did not perceive the...
Optical Coherency Matrix Tomography
2015-10-19
DOi: 10.1038/srep15333 21. Borges, C. V. S., Hor-Meyll, M., Huguenin, J. A. O. & Khoury, A. Z. Bell -like inequality for the spin-orbit separability...entanglement and violation of a Bell -like inequality between different degrees of freedom of a single photon. Phys. Rev. A 90, 052326 (2014). 31. Töppel, F...series of experiments implementing the OCmT scheme described above using quasi-monochromatic beams having two binary DoFs: polarization and a
Reducing Data Size Inequality during Finite Element Model Separation into Superelements
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Yu. V. Berchun
2015-01-01
Full Text Available The work considers two methods of automatic separation of final element model into super-elements to decrease computing resource demand when solving the linearly - elastic problems of solid mechanics. The first method represents an algorithm to separate a final element grid into simply connected sub-regions according to the set specific number of nodes in the super-element. The second method is based on the generation of a super-element with the set specific data size of the coefficient matrix of the system of equations of the internal nodes balance, which are eliminated during super-element transformation. Both methods are based on the theory of graphs. The data size of a matrix of coefficients is assessed on the assumption that the further solution of a task will use Holetsky’s method. Before assessment of data size, a KatkhillaMackey's (Cuthill-McKee algorithm renumbers the internal nodes of a super-element both to decrease a profile width of the appropriate matrix of the system of equations of balance and to reduce the number of nonzero elements. Test examples show work results of abovementioned methods compared in terms of inequality of generated super-element separation according to the number of nodes and data size of the coefficient matrix of the system of equations of the internal nodes balance. It is shown that the offered approach provides smaller inequality of data size of super-element matrixes, with slightly increasing inequality by the number of tops.
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.
Alsamawi, Ali; Murray, Joy; Lenzen, Manfred; Moran, Daniel; Kanemoto, Keiichiro
2014-01-01
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.
Inequality of Opportunity and Income Inequality in Nine Chinese Provinces, 1989-2006
DEFF Research Database (Denmark)
Eriksson, Tor Viking; Zhang, Yingqiang
2010-01-01
's own choices (''effort''). What is the relationship between income inequality and inequality of opportunity? For this purpose we use data from the China Health and Nutrition Survey collected from nine provinces during the period 1989 to 2006. The CHNS has detailed information about incomes and other...... 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...
Peripherality, income inequality, and life expectancy: revisiting the income inequality hypothesis.
Moore, Spencer
2006-06-01
Recent criticisms of the income inequality and health hypothesis have stressed the lack of consistent significant evidence for the stronger effects of income inequality among rich countries. Despite such criticisms, little attention has been devoted to the income-based criteria underlying the stratification of countries into rich/poor groups and whether trade patterns and world-system role provide an alternative means of stratifying groups. To compare income-based and trade-based criteria, 107 countries were grouped into four typologies: (I) high/low income, (II) OECD membership/non-membership, (III) core/non-core, and (IV) non-periphery/periphery. Each typology was tested separately for significant differences in the effects of income inequality between groups. Separate group comparison tests and regression analyses were conducted for each typology using Rodgers (1979) specification of income, income inequality, and life expectancy. Interaction terms were introduced into Rodgers specification to test whether group classification moderated the effects of income inequality on health. Results show that the effects of income inequality are stronger in the periphery than non-periphery (IV) (-0.76 vs -0.23; P income inequality and population health have assumed (i) income differences between countries best capture global stratification and (ii) the negative effects of income inequality are stronger in high-income countries. However, present findings emphasize (i) the importance of measuring global stratification according to trading patterns and (ii) the strong, negative effects of income inequality on life expectancy among peripheral populations.
Exploring the link between household debt and income inequality
DEFF Research Database (Denmark)
Fasianos, Apostolos; Raza, Hamid; Kinsella, Stephen
2017-01-01
We investigate the relationship between household debt and income inequality in the USA, allowing for asymmetry, using data over the period 1913–2008. We find evidence of an asymmetric cointegration between household debt and inequality for different regimes. Our results indicate household debt...... only responds to positive changes in income inequality, while there is no evidence of falling inequality significantly affecting household debt. The presence of this asymmetry provides further empirical insights into the emerging literature on household debt and inequality....
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...
Partial list of bipartite Bell inequalities with four binary settings
International Nuclear Information System (INIS)
Brunner, Nicolas; Gisin, Nicolas
2008-01-01
We give a partial list of 26 tight Bell inequalities for the case where Alice and Bob choose among four two-outcome measurements. All tight Bell inequalities with less settings are reviewed as well. For each inequality we compute numerically the maximal quantum violation, the resistance to noise and the minimal detection efficiency required for closing the detection loophole. Surprisingly, most of these inequalities are outperformed by the CHSH inequality
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.
Variational inequalities and flow in porous media
International Nuclear Information System (INIS)
Chipot, M.
1984-01-01
This book is concerned with regularity theory for obstacle problems, and with the dam problem, which, in the rectangular case, is one of the most interesting applications of variational inequalities with an obstacle
Bell inequalities resistant to detector inefficiency
International Nuclear Information System (INIS)
Massar, Serge; Pironio, Stefano; Roland, Jeremie; Gisin, Bernard
2002-01-01
We derive both numerically and analytically Bell inequalities and quantum measurements that present enhanced resistance to detector inefficiency. In particular, we describe several Bell inequalities which appear to be optimal with respect to inefficient detectors for small dimensionality d=2,3,4 and two or more measurement settings at each side. We also generalize the family of Bell inequalities described by Collins et al. [Phys. Rev. Lett. 88, 040404 (2002)] to take into account the inefficiency of detectors. In addition, we consider the possibility for pairs of entangled particles to be produced with probability less than 1. We show that when the pair production probability is small, one should in general use different Bell inequalities than when the pair production probability is high
Inequality in Belarus from 1995 to 2005
Czech Academy of Sciences Publication Activity Database
Yemelyanau, Maksim
-, č. 356 (2008), s. 1-50 ISSN 1211-3298 Institutional research plan: CEZ:AV0Z70850503 Keywords : inequality * social security * Belarus Subject RIV: AH - Economics http://www.cerge-ei.cz/pdf/wp/Wp356.pdf
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
Educational Inequalities And Women's Disempowerment In Nigeria ...
African Journals Online (AJOL)
Educational Inequalities And Women's Disempowerment In Nigeria. ... while the entire work is situated on the postulates of 'Weberian Power Analysis'. In all, it is observed that educational equity and women's socio-economic empowerment ...
Gender differences in socioeconomic inequality in mortality
Mustard, C; Etches, J
2003-01-01
Objectives: There is uncertainty about whether position in a socioeconomic hierarchy confers different mortality risks on men and women. The objective of this study was to conduct a systematic review of gender differences in socioeconomic inequality in risk of death.
On Some Generalized Ky Fan Minimax Inequalities
Directory of Open Access Journals (Sweden)
Xianqiang Luo
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.
Steffensen's integral inequality for conformable fractional integrals
Directory of Open Access Journals (Sweden)
Mehmet Zeki Sarikaya
2017-09-01
Full Text Available The aim of this paper is to establish some Steffensen’s type inequalities for conformable fractional integral. The results presented here would provide generalizations of those given in earlier works.
Some Improvements of Conformable Fractional Integral Inequalities
Directory of Open Access Journals (Sweden)
Fuat Usta
2017-07-01
Full Text Available In this study, we wish to set up and present some new conformable fractional integral inequalities of the Gronwall type which have a great variety of implementation area in differential and integral equations.
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.
The Intergenerational Inequality of Health in China
DEFF Research Database (Denmark)
Eriksson, Tor; Pan, Jay; Qin, Xuezheng
This paper estimates the intergenerational health transmission in China using the 1991-2009 China Health and Nutrition Survey (CHNS) data. Three decades of persistent economic growth in China has been accompanied by high income inequality, which may in turn be caused by the inequality...... measures and various model specifications, and is robust when unobserved household heterogeneity is removed. We also find that the parents’ (especially the mothers’) socio-economic characteristics and environmental / health care choices are strongly correlated with their own and their children’s health......, 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...
Inequality and Development Challenges | IDRC - International ...
International Development Research Centre (IDRC) Digital Library (Canada)
2013-08-30
Aug 30, 2013 ... This book analyses the co-evolution of inequality and NSI across the BRICS ... knowledge, race, gender, ethnicity, and geographic location) that go beyond ... water management: Innovative solutions from the Global South”.
Inequalities in South African health care
African Journals Online (AJOL)
the other to the population as cliemele of that system. Recently the ... divides from which inequalities in this sector emanate are those of .... power for private health care, and fewer srill are insured .... Nurses are mainly employed in public sector.
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.
International Conference on Function Spaces and Inequalities
Schmeisser, Hans-Jürgen
2017-01-01
This book features original research and survey articles on the topics of function spaces and inequalities. It focuses on (variable/grand/small) Lebesgue spaces, Orlicz spaces, Lorentz spaces, and Morrey spaces and deals with mapping properties of operators, (weighted) inequalities, pointwise multipliers and interpolation. Moreover, it considers Sobolev–Besov and Triebel–Lizorkin type smoothness spaces. The book includes papers by leading international researchers, presented at the International Conference on Function Spaces and Inequalities, held at the South Asian University, New Delhi, India, on 11–15 December 2015, which focused on recent developments in the theory of spaces with variable exponents. It also offers further investigations concerning Sobolev-type embeddings, discrete inequalities and harmonic analysis. Each chapter is dedicated to a specific topic and written by leading experts, providing an overview of the subject and stimulating future research.
Inequalities for differential and integral equations
Ames, William F
1997-01-01
Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books. Written by a major contributor to the field, this comprehensive resource contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools in the development of applications in the theory of new classes of differential and integral equations. For researchers working in this area, it will be a valuable source of reference and inspiration. It could also be used as the text for an advanced graduate course.Key Features* Covers a variety of linear and nonlinear inequalities which find widespread applications in the theory of various classes of differential and integral equations* Contains many inequalities which have only recently appeared in literature and cannot yet be found in other books* Provides a valuable reference to engineers and graduate students
Should we worry about income inequality?
Wade, Robert Hunter
2006-01-01
Liberals (in the European sense) argue that a liberal free-market economic policy regime-nationally and globally-is good for economic growth and poverty reduction and for keeping income inequality within tolerable limits. Second, they argue that substantial income inequality is desirable because of its good effects on other things, notably incentives, innovation, and panache; and conversely, they dismiss concerns about growing inequality as "the politics of envy." Third, they argue that the core liberal theory of capitalist political economy satisfactorily explains the central tendencies in the role of the state in advanced capitalist economies. This essay challenges all three arguments on both conceptual and empirical grounds. It then suggests why the arguments are nevertheless widely accepted, proposes criteria for deciding how much inequality is fair, and ends by suggesting ways for achieving higher salience for income redistribution (downwards) in political agendas.
Steffensen's Integral Inequality on Time Scales
Directory of Open Access Journals (Sweden)
Ozkan Umut Mutlu
2007-01-01
Full Text Available We establish generalizations of Steffensen's integral inequality on time scales via the diamond- dynamic integral, which is defined as a linear combination of the delta and nabla integrals.
Macrorealism from entropic Leggett-Garg inequalities
Devi, A. R. Usha; Karthik, H. S.; Sudha; Rajagopal, A. K.
2013-05-01
We formulate entropic Leggett-Garg inequalities, which place constraints on the statistical outcomes of temporal correlations of observables. The information theoretic inequalities are satisfied if macrorealism holds. We show that the quantum statistics underlying correlations between time-separated spin component of a quantum rotor mimics that of spin correlations in two spatially separated spin-s particles sharing a state of zero total spin. This brings forth the violation of the entropic Leggett-Garg inequality by a rotating quantum spin-s system in a similar manner as does the entropic Bell inequality [S. L. Braunstein and C. M. Caves, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.61.662 61, 662 (1988)] by a pair of spin-s particles forming a composite spin singlet state.
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.
Gender inequality: Bad for men's health
African Journals Online (AJOL)
2013-03-02
Mar 2, 2013 ... have attributed this risk to men's poorer health-seeking behaviour, which may prevent them from accessing ART, being ... Gender inequality: Bad for men's health ..... New York: United Nations Development Programme, 2005.
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.
Some inequalities for the Bell numbers
Indian Academy of Sciences (India)
Feng Qi
2017-08-19
Aug 19, 2017 ... Bell number determinant; product; inequality; generating function; derivative; absolutely monotonic function; completely monotonic func- tion; logarithmically absolutely monotonic function; logarithmically completely monotonic function; Stirling number of the second kind; induction; Faà di Bruno formula;.
Solutions to variational inequalities of parabolic type
Zhu, Yuanguo
2006-09-01
The existence of strong solutions to a kind of variational inequality of parabolic type is investigated by the theory of semigroups of linear operators. As an application, an abstract semi permeable media problem is studied.
Nonlinear variational inequalities of semilinear parabolic type
Directory of Open Access Journals (Sweden)
Park Jong-Yeoul
2001-01-01
Full Text Available The existence of solutions for the nonlinear functional differential equation governed by the variational inequality is studied. The regularity and a variation of solutions of the equation are also given.
Socio-economic inequality in preterm birth
DEFF Research Database (Denmark)
Petersen, Christina Bjørk; Mortensen, Laust Hvas; Morgen, Camilla Schmidt
2009-01-01
increased slightly over time in very preterm births in Denmark, while there was a slight narrowing of the gap in Sweden. In moderately preterm births, the educational inequality gap was constant over the study period in Denmark, Norway and Sweden, but narrowed in Finland. The educational gradient in preterm...... birth remained broadly stable from 1981 to 2000 in all four countries. Consequently, the socio-economic inequalities in preterm birth were not strongly influenced by structural changes during the period....
On a class of general variational inequalities
International Nuclear Information System (INIS)
Siddiqi, A.H.
1990-06-01
The study of variational inequalities was initiated by the Italian Mathematician, Guido Stampacchia in the early 60's. Besides several other important problems of Physics and Engineering this theory has been applied to solve the problem of Elasticity with unilateral constraints. In this paper we introduce a new class of variational inequalities and study the existence and uniqueness of its solution. Error estimates, convergence of approximate solution and the penalty method are also discussed. (author). 25 refs
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.
China's income inequality in the global context
Han, Jin; Zhao, Qingxia; Zhang, Mengnan
2016-01-01
Although China's GDP has become the world's second largest, China's long-term economic growth with high speed and long-lasting “efficiency first” policy guidance, has brought China into a complicated situation, therein serious inequality exists in China and it has become one of the most serious problems in China nowadays. This paper focuses on China's inequality issues in the context of the world, especially on comparison between China and the European countries, concerning of our common purs...
Fiscal Imbalances, Poverty and Inequality in Pakistan
Irfan Ullah - Naimatullah Baber
2014-01-01
This paper has analyzed the fiscal imbalances, poverty and inequality with relevance to Pakistan. We use time series data from 1981 to 2010 and employ Autoregressive Distributed Lag Model (ARDL) to cointegration for estimation. The empirical findings suggest that fiscal deficits increase the poverty level and provide biases for inequality. Since deficit is financed through money supply, government debt and indirect taxes which threaten the purchasing power of the poor and drag them towards po...
Bell inequalities under non-ideal conditions
Especial, João N. C.
2012-01-01
Bell inequalities applicable to non-ideal EPRB experiments are critical to the interpretation of experimental Bell tests. In this article it is shown that previous treatments of this subject are incorrect due to an implicit assumption and new inequalities are derived under general conditions. Published experimental evidence is reinterpreted under these results and found to be entirely compatible with local-realism, both, when experiments involve inefficient detection, if fair-sampling detecti...
The role of preschool in reducing inequality
Waldfogel, Jane
2015-01-01
Children from disadvantaged families have lower levels of school readiness when they enter school than do children from more advantaged families. Many countries have tried to reduce this inequality through publicly provided preschool. Evidence on the potential of these programs to reduce inequality in child development is now quite strong. Long-term studies of large publicly funded programs in Europe and Latin America, and newer studies on state and local prekindergarten programs implemented ...
Education, globalization, and income inequality in Asia
Park, Kang Hoon
2017-01-01
This study considers how education and globalization affect income inequality in Asia, with unbalanced panel data. The evidence supports the validity of Kuznets' inverted-U hypothesis for the connection between income level and income inequality. However, when more variables are integrated into the model, the consistency of the inverse U-shaped curve becomes weaker. The empirical results suggest that educational variables are highly influential in affecting income distribution. Our analysis i...
Openness, Inequality and Poverty in Africa
Alemayehu Geda
2006-01-01
This paper explores the relationships between openness, poverty and inequality in Africa. The analysis begins with a review of social development on the continent since 1980, followed by a discussion of openness and a lengthy exploration of the patterns of trade and finance that link Africa to the rest of the world. The macroeconomic policy framework that guided African policymaking over the last three decades is the lens through which poverty and inequality are further examined. The paper hi...
Should poverty researchers worry about inequality?
Armando Barrientos
2010-01-01
The paper constructs a case for arguing that poverty researchers need not worry about inequality (as poverty researchers). It reviews conceptualisations of poverty as essentially relational, a particular reflection of prevailing inequalities. In this approach, people are in poverty because they are less well off than others along important dimensions of wellbeing. As against this view, the paper constructs a case for studying poverty as non-relational. In this approach, people are in poverty ...
DEFF Research Database (Denmark)
Petersen, Kaare Brandt; Pedersen, Michael Syskind
Matrix identities, relations and approximations. A desktop reference for quick overview of mathematics of matrices.......Matrix identities, relations and approximations. A desktop reference for quick overview of mathematics of matrices....
Farooque, Mohammad; Yuh, Chao-Yi
1996-01-01
A carbonate fuel cell matrix comprising support particles and crack attenuator particles which are made platelet in shape to increase the resistance of the matrix to through cracking. Also disclosed is a matrix having porous crack attenuator particles and a matrix whose crack attenuator particles have a thermal coefficient of expansion which is significantly different from that of the support particles, and a method of making platelet-shaped crack attenuator particles.
Bell inequalities for continuous-variable measurements
International Nuclear Information System (INIS)
He, Q. Y.; Reid, M. D.; Drummond, P. D.; Cavalcanti, E. G.
2010-01-01
Tests of local hidden-variable theories using measurements with continuous-variable (CV) outcomes are developed, and a comparison of different methods is presented. As examples, we focus on multipartite entangled Greenberger-Horne-Zeilinger and cluster states. We suggest a physical process that produces the states proposed here, and investigate experiments both with and without binning of the continuous variable. In the former case, the Mermin-Klyshko inequalities can be used directly. For unbinned outcomes, the moment-based Cavalcanti-Foster-Reid-Drummond inequalities are extended to functional inequalities by consideration of arbitrary functions of the measurements at each site. By optimizing these functions, we obtain more robust violations of local hidden-variable theories than with either binning or moments. Recent inequalities based on the algebra of quaternions and octonions are compared with these methods. Since the prime advantage of CV experiments is to provide a route to highly efficient detection via homodyne measurements, we analyze the effect of noise and detection losses in both binned and unbinned cases. The CV moment inequalities with an optimal function have greater robustness to both loss and noise. This could permit a loophole-free test of Bell inequalities.
Nonmarital First Births, Marriage, and Income Inequality.
Cherlin, Andrew J; Ribar, David; Yasutake, Suzumi
2016-08-01
Many aggregate-level studies suggest a relationship between economic inequality and socio-demographic outcomes such as family formation, health, and mortality; but individual-level evidence is lacking. Nor is there satisfactory evidence on the mechanisms by which inequality may have an effect. We study the determinants of transitions to a nonmarital first birth as a single parent or as a cohabiting parent compared to transitions to marriage prior to a first birth among unmarried, childless young adults in the National Longitudinal Survey of Youth, 1997 cohort, from 1997 to 2011. We include measures of county-group-level household income inequality and of the availability of jobs typically held by high-school graduates and which pay above-poverty wages. We find that greater income inequality is associated with a reduced likelihood of transitioning to marriage prior to a first birth for both women and men. The association between levels of inequality and transitions to marriage can be partially accounted for by the availability of jobs of the type we measured. Some models also suggest that greater income inequality is associated with a reduced likelihood of transitioning to a first birth while cohabiting.
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...
Matrix with Prescribed Eigenvectors
Ahmad, Faiz
2011-01-01
It is a routine matter for undergraduates to find eigenvalues and eigenvectors of a given matrix. But the converse problem of finding a matrix with prescribed eigenvalues and eigenvectors is rarely discussed in elementary texts on linear algebra. This problem is related to the "spectral" decomposition of a matrix and has important technical…
Indian Academy of Sciences (India)
Much of linear algebra is devoted to reducing a matrix (via similarity or unitary similarity) to another that has lots of zeros. The simplest such theorem is the Schur triangularization theorem. This says that every matrix is unitarily similar to an upper triangular matrix. Our aim here is to show that though it is very easy to prove it ...
Health Inequalities Among Korean Employees
Directory of Open Access Journals (Sweden)
Eunsuk Choi
2017-12-01
Full Text Available Background: Social status might be a determinant of occupational health inequalities. This study analyzed the effects of social status on both work environments and health outcomes. Methods: The study sample consisted of 27,598 wage employees aged 15 years and older from among the Korean Working Condition Survey participants in 2011. Work environments included atypical work, physical risks, ergonomic risks, work demands, work autonomy, social supports, and job rewards. Health outcomes comprised general health, health and safety at risk because of work, the World Health Organization-5 Well-being Index, work-related musculoskeletal disease, and work-related injury. Multivariable logistic-regression models were used to identify the associations between social status and work environments and health outcomes. Results: Employees in the demographically vulnerable group had lower occupational status compared with their counterparts. Low social status was largely related to adverse work environments. Especially, precarious employment and manual labor occupation were associated with both adverse work environments and poor health outcomes. Conclusion: Precarious and manual workers should take precedence in occupational health equity policies and interventions. Their cumulative vulnerability, which is connected to demographics, occupational status, adverse work environments, or poor health outcomes, can be improved through a multilevel approach such as labor market, organizations, and individual goals. Keywords: employee health, health equity, social status
Income inequality: A complex network analysis of US states
Gogas, Periklis; Gupta, Rangan; Miller, Stephen M.; Papadimitriou, Theophilos; Sarantitis, Georgios Antonios
2017-10-01
This study performs a long-run, inter-temporal analysis of income inequality in the US spanning the period 1916-2012. We employ both descriptive analysis and the Threshold-Minimum Dominating Set methodology from Graph Theory, to examine the evolution of inequality through time. In doing so, we use two alternative measures of inequality: the Top 1% share of income and the Gini coefficient. This provides new insight on the literature of income inequality across the US states. Several empirical findings emerge. First, a heterogeneous evolution of inequality exists across the four focal sub-periods. Second, the results differ between the inequality measures examined. Finally, we identify groups of similarly behaving states in terms of inequality. The US authorities can use these findings to identify inequality trends and innovations and/or examples to investigate the causes of inequality within the US and implement appropriate policies.
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. Copyright © 2011 Elsevier Ltd. All rights reserved.
From general discrimination to segmented inequality: Migration and inequality in urban China.
Lu, Yao; Wang, Feng
2013-11-01
Internal migration in China during the last three decades, the largest in human history, offers a rare opportunity to understand inequalities in the making. Using data spanning 10years from China's largest metropolis, Shanghai, this study assesses how enduring state institutions interplay with the spread of market forces to shape income inequality between migrants and native urban workers. Though the wages of both Chinese migrants and urban workers rose considerably, economic restructuring during the decade under study resulted in diminished privileges for urbanites and subsequently increased collision between migrants and urban workers in the private sectors. These shifts, rather than substantially reducing inequality, have led to an evolving form of inequality, from an initial general blatant discrimination against migrants across the board, to a new and more subtle form of inequality characterized by substantial segmented discrimination against migrants within economic sectors, with the degree of inequality varying from sector to sector. We discuss how this changing inequality reflects complementary rather than competing roles of the state and market institutions in inequality creation and maintenance. Copyright © 2013 Elsevier Inc. All rights reserved.
Torraco, Richard
2018-01-01
Economic inequality--the income gap between the wealthy and the poor--is increasing. Educational inequity has also increased with low-income students less likely to complete college than their wealthier counterparts. As the gap widens between the education "haves" and "have-nots," those with inadequate education are faced with…
Energy Technology Data Exchange (ETDEWEB)
Lu Huaixin, E-mail: huaixinlu@wfu.edu.c [Department of Physics and Electronic Science, Weifang University, Weifang, Shandong 261061 (China); Zhao Jiaqiang; Wang Xiaoqin [Department of Physics and Electronic Science, Weifang University, Weifang, Shandong 261061 (China)
2011-05-02
We experimentally characterized a high-intensity optical three-qubit Greenberger-Horne-Zeilinger (GHZ) states with a count of {approx}25/s by using the method of over-complete state tomography. Furthermore, based on the state, a convincing, 3.5 standard deviations, violation of Gisin's inequality has been measured, thus confirming the validity of Gisin's inequality for three-qubit GHZ states. From the data, we verified the good agreement of the experimental violation with the value predicted by quantum mechanics given the reconstructed density matrix. This result represents the first step towards the experimental implementation of Gisin's theorem. - Highlights: We have characterized a high-intensity three-qubit GHZ states. We have achieved convincing results of the violation of Gisin's inequalities. We verified the agreement of the experimental violation with theoretical value.
International Nuclear Information System (INIS)
Ito, Tsuyoshi; Imai, Hiroshi; Avis, David
2006-01-01
We show that some two-party Bell inequalities with two-valued observables are stronger than the CHSH inequality for 3x3 isotropic states in the sense that they are violated by some isotropic states in the 3x3 system that do not violate the CHSH inequality. These Bell inequalities are obtained by applying triangular elimination to the list of known facet inequalities of the cut polytope on nine points. This gives a partial solution to an open problem posed by Collins and Gisin. The results of numerical optimization suggest that they are candidates for being stronger than the I 3322 Bell inequality for 3x3 isotropic states. On the other hand, we found no Bell inequalities stronger than the CHSH inequality for 2x2 isotropic states. In addition, we illustrate an inclusion relation among some Bell inequalities derived by triangular elimination
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....
INEQUALITY IN CHINA IN THE CONTEXT OF SUSTAINABLE DEVELOPMENT
Directory of Open Access Journals (Sweden)
Чжан Чжань
2017-12-01
Full Text Available The research object is the sociopolitical foundations of sustainable development in China. Research subject is the problem of inequality as one of the obstacles to sustainable development in China. In the article, different aspects of the issue are reviewed in the context of sustainable development, especially through the requirements of the UN Agenda 2030. These aspects include income inequality, inequality in education and health care, gender inequality. It is shown that despite the improvement trend in some specific aspects, the inequality gap in China is still large, further reduction of the inequality level remains one of the main tasks for achieving sustainable development goals in China.
Moral considerations concerning income inequality
Directory of Open Access Journals (Sweden)
Jurjen P. de Vries
2015-05-01
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
Analytic quantum bounds on Bell inequalities
International Nuclear Information System (INIS)
Filipp, S.; Svozil, K.
2005-01-01
Full text: Can realism be combined with the quantum world? An important tool to investigate in this question are Bell's inequalities and violations thereof - they represent a cornerstone of our present understanding of quantum mechanics and therefore the description of nature. Here we present a simple algebraic method to calculate violations for any measurement arrangements that are maximal in the sense that quantum mechanics does not allow a stronger violation. Having two or more polarization analyzers available and a source producing photon-pairs in arbitrary polarization states Bell-type inequalities tell us which probabilities for measuring the polarization in particular directions are viable in a deterministic theory. Quantum mechanics does not obey these rules, but yields a violation of these inequalities. The questions is to what extent the inequalities are violated. Making use of a min-max principle analytical expressions can be found for the 'fine structure' of the maximal violations of arbitrary Bell-like inequalities, i. e. the upper bound reachable by any state when the analyzers measure in given directions. Knowing these bounds is useful for experimental tests of the validity of quantum mechanics and can serve as a prerequisite to answer the even more pressing question, why no stronger violation has been observed until now. (author)
Lies, Damned Lies, and Health Inequality Measurements
Gerdtham, Ulf-G; Petrie, Dennis
2015-01-01
Measuring and monitoring socioeconomic health inequalities are critical for understanding the impact of policy decisions. However, the measurement of health inequality is far from value neutral, and one can easily present the measure that best supports one’s chosen conclusion or selectively exclude measures. Improving people’s understanding of the often implicit value judgments is therefore important to reduce the risk that researchers mislead or policymakers are misled. While the choice between relative and absolute inequality is already value laden, further complexities arise when, as is often the case, health variables have both a lower and upper bound, and thus can be expressed in terms of either attainments or shortfalls, such as for mortality/survival. We bring together the recent parallel discussions from epidemiology and health economics regarding health inequality measurement and provide a deeper understanding of the different value judgments within absolute and relative measures expressed both in attainments and shortfalls, by graphically illustrating both hypothetical and real examples. We show that relative measures in terms of attainments and shortfalls have distinct value judgments, highlighting that for health variables with two bounds the choice is no longer only between an absolute and a relative measure but between an absolute, an attainment- relative and a shortfall-relative one. We illustrate how these three value judgments can be combined onto a single graph which shows the rankings according to all three measures, and illustrates how the three measures provide ethical benchmarks against which to judge the difference in inequality between populations. PMID:26133019