Stigmatizing beliefs about mental illness can be a daily struggle for people with schizophrenia. While investigations into the impact of internalizing stigma on negative symptoms have yielded mixed results, resistance to stigmatizing beliefs has received little attention. In this study, we examined the linkage between internalized stigma, stigma resistance, negative symptoms, and social power, ...

Shannon’s entropy power inequality characterizes the minimum differential entropy achievable by the sum of two independent random variables with fixed differential entropies. Since the pioneering work of Shannon, there has been a steady stream of results over the years, trying to understand the structure of Shannon’s entropy power inequality, as well as trying to develop similar entropy power i...

Following Engerman and Sokoloff (1997, 2000, 2002) and Acemoglu, Johnson, and Robinson (2001, 2002), the authors of this chapter argue that the contemporary situation cannot be understood without recognizing that extreme inequality emerged soon after the Europeans began to colonize the Americas half a millennium ago, and has been reflected in the institutions they put in place. Both this initia...

and Applied Analysis 3 Moreover, Bourgin 15 and Găvruţa 16 have considered the stability problem with unbounded Cauchy differences see also 17–27 . On the other hand, J. M. Rassias 28–33 considered the Cauchy difference controlled by a product of different powers of norm. However, there was a singular case; for this singularity a counterexample was given by Găvruţa 34 . This stability phenomeno...

An extension of the entropy power inequality to the form N r (X +Y ) ≥ N r (X) +N r (Y ) with arbitrary independent summands X and Y in R is obtained for the Rényi entropy and powers α ≥ (r + 1)/2.

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

One way to interpret this last finding would be to assume that when people become more familiar with nanotechnology, they like it more. This so-called familiarity hypothesis is attractive because it supposedly shows an easy path to achieving public support and government funding for nanotechnology. As more information is disseminated, funding will become more politically acceptable. However, th...

A preference for negative reciprocity is an important part of the human emotional repertoire. We model its role in sustaining cooperative behavior but highlight an intrinsic free-rider problem: the fitness benefits of negative reciprocity are dispersed throughout the entire group, but the fitness costs are borne personally. Evolutionary forces tend to unravel people’s willingness to bear the pe...

Elaborating on the similarity between the entropy power inequality and the Brunn-Minkowski inequality, Costa and Cover conjectured in On the similarity of the entropy power inequality and the BrunnMinkowski inequality (IEEE Trans. Inform. Theory 30 (1984), no. 6, 837-839) the 1 n -concavity of the outer parallel volume of measurable sets as an analogue of the concavity of entropy power. We inve...