We establish a connection between the L norm of sums of dilated functions whose jth Fourier coefficients are O(j−α) for some α ∈ (1/2, 1), and the spectral norms of certain greatest common divisor (GCD) matrices. Utilizing recent bounds for these spectral norms, we obtain sharp conditions for the convergence in L and for the almost everywhere convergence of series of dilated functions.

Since Becker (3), a common argument against asymmetric norms that promote minority rights over those of the majority is that such policies reduce total welfare. While this may be the case, we show that there are simple environments where aggregate sum of individual utilities is actually maximized under asymmetric norms that favor minorities. We thus maintain that without information regarding i...

OBJECTIVE Illicit drug and heavy alcohol use is more common among sexual minorities compared with heterosexuals. This difference has sometimes been attributed to more tolerant substance use norms within the gay community, although evidence is sparse. The current study investigated the role of perceived drug availability and tolerant injunctive norms in mediating the linkage between minority sex...

Game-theoretic approaches to social norms have flourished in the recent years, and on first inspection theorists seem to agree on the broad lines that such accounts should follow.2 By contrast, this paper aims to show that the main two interpretations of social norms are at odds on at least one aspect of social norms, and both fail to account for another aspect. We are sympathetic to the broad ...

Sparse methods for supervised learning aim at finding good linear predictors from as few variables as possible, i.e., with small cardinality of their supports. This combinatorial selection problem is often turned into a convex optimization problem by replacing the cardinality function by its convex envelope (tightest convex lower bound), in this case the l1-norm. In this paper, we investigate m...

As is understood by governmental ethics, governors should distribute possibilities and economical and social opportunities among citizens according to distributive justice. In this paper, the author, surveying and criticizing the views in the field, has shown that the type of work, need and public equality taken as norms in the views, may be counted as the ways for recognizing personal rights n...

background & objective: mortality data can be the starting point for many epidemiological surveys. this study was conducted to determine the mortality rates of kermanshah province in 1379.   materials and methods:   mortality rate of rural and urban areas were obtained from kermanshah health center and baghferdows cemetery's archives,  respectively. the data of other cities of the province were...