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Symmetric Point Sets with Few Intersection Numbers in PG(r,q)

In 1965, H. Retkin and E. Stein defined a symmetric point set as a set of points with the same intersection numbers. In this paper, we perform a detailed analysis of symmetric point sets of the finite projective space which shows that the class of symmetric sets is very broad including caps, two-character sets and transitive sets. We derive necessary conditions for the existence of such sets. Since the most studied sets are caps and two-character sets and not much seems to be known in th...

Large-scale self-organization in dry turbulent atmospheres

How turbulent convective fluctuations organize to form larger-scale structures in planetary atmospheres remains a question that eludes quantitative answers. The assumption that this process is the result of an inverse cascade was suggested half a century ago in two-dimensional fluids, but its applicability to atmospheric and oceanic flows remains heavily debated, hampering our understanding of the energy balance in planetary systems. We show using direct numerical simulations with spatial res...

Waves and non-propagating modes in stratified MHD turbulence subject to a weak mean magnetic field

In this study we consider a freely decaying, stably stratified homogeneous magnetohydrodynamic turbulent plasma with a weak vertical background magnetic field (B-0 = B0z<^>), aligned with the density gradient of strength NN (i.e. Brunt-Vaisala frequency). Both linear theory and direct numerical simulations (DNS) are used to analyse the flow dynamics for a Boussinesq fluid with unitary magnetic and thermal Prandtl numbers. We implemented a normal mode decomposition emphasizing different ...

Using Exogenous Sources for Personalization of Website Services

Software running on servers at a website hosting a news service generates a first profile for a user of the news service. The first profile is based at least in part on implicit relevance feedback from the user on content presented by the news service. The software obtains a second profile for the user from a web-searching service. The software creates a score for a candidate item of content. The score is based on similarity of the candidate item to the first profile and similarity of the can...

Method And/or System for Recommender System

Method embodiments and/or system embodiments are provided that may be utilized to recommend online content to users based, at least in part on a prediction of diffusion of online content through a social network.

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