Analysis of range queries on spatial (multidimensional) data is both important and challenging. Most previous analysis attempts have made certain simplifying assumptions about the datasets and/or queries to keep the analysis tractable. As a result, they may not be universally applicable. This paper proposes a set of five analysis techniques to estimate the selectivity and number of index nodes ...

This paper introduces another perspective to analyze spatial inequality, in particular within the regional growth decomposition framework. The employed method brings about the spatial growth differencing as a measure of spatial inequality, an alternative to the regional conditioning principle (Quah, 1996). Results for the 1976-1998 case suggests that there is a tendency toward more spatial equa...

We present a condition which guarantees spatial uniformity for the asymptotic behavior of the solutions of a reaction-diffusion PDE with Neumann boundary conditions. This condition makes use of the Jacobian matrix of the reaction terms and the second Neumann eigenvalue of the Laplacian operator on the given spatial domain, and replaces the global Lipschitz assumptions commonly used in the liter...

We report the first experimental violation of Bell's inequality in the spatial domain using the Einstein-Podolsky-Rosen state. Two-photon states generated via optical spontaneous parametric down-conversion are shown to be entangled in the parity of their one-dimensional transverse spatial profile. Superpositions of Bell states are prepared by manipulation of the optical pump's transverse spatia...

Precis: In this paper we present some quantitative indices for measuring and comparing levels of inequality in discrete spatial distributions. The indices presented are based on the Kullback Informa­ tion Measure which we consider to be the most general. In the final section of the paper the indices are applied to measure inequality in per capita income and certain categories of employment dist...

Background: Drug use disorders are one of the major health problems in societies, which cause physical, psychological, and social damages to individuals. Socioeconomic status is often inversely associated with drug use disorders. The present study aimed at determining the effect of socioeconomic inequality on the prevalence of drug use disorders and identifying its determinants in Iran.  ...

â â â  some of the necessary approaches to access the sustainable and balanced development process for investment and fulfillment of developmen projects are spatial planning, determining operational scales and locating tourism centers scientifically. in this paper as part of the results of a great research project in bazoft area of chaharmahal bakhteari, over of functional-structural view, with...