We derive a Brunn-Minkowski-type inequality regarding the volume of the Minkowski sum of degenerate sets, namely, line sets. Let A 1 : : : A n be one dimensional sets of unit length, and v

We show that an information-theoretic property of Shannon's entropy power, known as concavity of entropy power [7], can be fruitfully employed to prove inequalities in sharp form. In particular, the concavity of entropy power implies the logarithmic Sobolev inequality, and the Nash's inequality with the sharp constant.

Much social science suggests that income inequality is a product of economic and demographic factors and recent work highlights the influence of Leftist politics in affluent Western democracies. But, prior research has neglected rightist politics. We examine the impact of cumulative right party power on three measures of income inequality in an unbalanced panel of 16 affluent Western democracie...

To understand the mechanisms behind social inequality, this address argues that we need to more thoroughly incorporate the effects of status—inequality based on differences in esteem and respect—alongside those based on resources and power. As a micro motive for behavior, status is as significant as money and power. At a macro level, status stabilizes resource and power inequality by transformi...

this study examins effects of trade liberalization on the wage inequality across industries and between genders within these industries by utilizing the data of micro-level households’ income and expenditures surveys and trade statistics over 2001-2011. the analysis is carried based on the heckscher–ohlin’s theory in international trade and baker’s taste discrimination theory at firms. we use q...

We prove the quantum conditional Entropy Power Inequality for quantum additive noise channels. This inequality lower bounds the quantum conditional entropy of the output of an additive noise channel in terms of the quantum conditional entropies of the input state and the noise when they are conditionally independent given the memory. We also show that this conditional Entropy Power Inequality i...

This paper establishes an identity for the case of differentiable $s-$convex functions with respect to conformable fractional integrals. By using this identity, sundry trapezoid-type inequalities are proven by help Several important acquired taking advantage convexity, Hölder inequality, and power mean inequality. Moreover, example graph is given in order show that our main results correct. spe...

This research studies TV commercial from cultural-conflict view point and tries to analyze mutual relation between parent-child generations. It applies signifier's method for reflecting TV commercials. Signifying qualitative method on the base of General signifies along with "first levels signifiers" and "Second level signifiers" obtained Symbolic displacement. This research shows TV commerci...

Correspondence On the Similarity of the Entropy Power Inequality The preceeding equations allow the entropy power inequality and the Brunn-Minkowski Inequality to be rewritten in the equivalent form (4) where X' and Y' are independent normal variables with corresponding entropies H(X') = H(X) and H(Y') = H(Y). Verification of this restatement follows from the use of (1) to show that Abstract-Th...