The graded Betti numbers of the minimal free resolution (and also therefore the Hilbert function) of the ideal of a fat point subscheme Z of P are determined whenever Z is supported at any 6 or fewer distinct points. We also handle a broad range of cases in which the points can be infinitely near, related to the classification of normal cubic surfaces. All results hold over an arbitrary algebra...

Entity Resolution (ER) concerns identifying pairs of entities that refer to the same underlying entity. To avoid O(n) pairwise comparison of n entities, blocking methods are used. Sorted Neighborhood is an established blocking method for Relational Databases. It has not been applied to schema-free Resource Description Framework (RDF) data sources widely prevalent in the Linked Data ecosystem. T...

Understanding the nature of the free state of riboswitch aptamers is important for illuminating common themes in gene regulation by riboswitches. Prior evidence indicated the flavin mononucleotide (FMN)-binding riboswitch aptamer adopted a 'bound-like' structure in absence of FMN, suggesting only local conformational changes upon ligand binding. In the scope of pinpointing the general nature of...