The aim of this work is to study the rigidity problem for Steiner's inequality anisotropic perimeter, that is, situation in which only extremals are vertical translations Steiner symmetral we considering. Our main contribution consists giving conditions under setting equivalent Euclidean setting. Such given term a restriction possible values normal vectors boundary (see Corollary 1.17, and 1.18).

The Bell–Clauser–Horne–Shimony–Holt inequality can be used to show that no local hidden-variable theory reproduce the correlations predicted by quantum mechanics (QM). It proved certain QM lead a violation of classical bound established inequality, while all correlations, and classical, respect (the Tsirelson bound). Here, we these well-known results depend crucially on assumption values physic...

Schur's inequality for the sum of products differences real numbers states that $x,y,z,t\geq 0$, $x^t(x-y)(x-z) + y^t(y-z)(y-x) z^t(z-x)(z-y) \geq 0$. In this paper we study a generalization to more terms, general functions variables and algebraic structures such as vectors Hermitian matrices.

background and purpose: utilization of health care services and food influence the health status. the food and health care expenditure ratios determine the importance level of them in household's consumption expenditures. we aimed to investigate the iranian rural and urban food and health expenditure ratios inequality during 1998 to 2012. materials and methods: this is a descriptive longit...

introduction: inequalities in urban environment are a significant concern. socioeconomic level plays an important role in these inequalities. inequality in environmental hazards is recognized as potential determinants of health disparities. materials & methods: in this study, we used individual and cumulative environmental hazard inequality indices to compare the inequality among 379 neighborho...

this study examines educational inequalities between boys and girls in secondary schools by using context, space, human resources, education coverage, education process, outputs and outcomes as comparative indicators. the research study is a descriptive - analytical survey. the required data have been collected through both using documents and questionnaires. using stratified random sampling, t...

In this paper we prove the differentiability of Lipschitz maps X → V , where X is a complete metric measure space satisfying a doubling condition and a Poincaré inequality, and V denotes a Banach space with the Radon Nikodym Property (RNP). The proof depends on a new characterization of the differentiable structure on such metric measure spaces, in terms of directional derivatives in the direct...

introduction: based on human studies, inequality and social injustice have adverse effects on the individual and community health. in this study, the effects of food intake inequality and social status changes on pain perception and immunological factors were investigated in balb/c mice. methods: the present study was conducted by implementing different social stresses including food deprivatio...