Metric space is a universal and versatile model of similarity that can be applied in various areas of non-text information retrieval. However, a general, efficient and scalable solution for metric data management is still a resisting research challenge. In this work, we try to make an important step towards such management system that would be able to scale to data collections of billions of ob...

BACKGROUND There is a growing international commitment to universal health coverage (UHC), but limited means to determine progress towards that goal. We developed a practical index for capturing health service coverage - a critical dimension of UHC -- that was more inclusive than previous methods. METHODS Our data included publicly-available, indicators reflecting health service delivery, inf...

We describe the normal subgroup lattice of the automorphism groups of the countable universal homogeneous distributive lattice and of the countable atomless generalized Boolean lattice. Also, we show that subgroups of these automorphism groups of index less than 2@0 lie between the pointwise and the setwise stabilizer of a nite set.

For every α < ω1 we establish the existence of a separable Banach space whose Szlenk index is ω and which is universal for all separable Banach spaces whose Szlenkindex does not exceed ω. In order to prove that result we provide an intrinsic characterization of which Banach spaces embed into a space admitting an FDD with upper estimates.

introduction: influenza a virus causes unpredictable epidemics and pandemics by creating antigenic variations. with the appearance of each new strain, rapid emergency countermeasures are taken against this new strain. hence, designing an applicable and cross protective strategy to counter this virus is of great importance. to achieve this, choosing conserved antigenic regions in influenza virus...

Dow Jones Index time series exhibit irregular or fractal fluctuations on all time scales from days, months to years. The apparently irregular (nonlinear) fluctuations are selfsimilar as exhibited in inverse power law form for power spectra of temporal fluctuations. Inverse power law form for power spectra of fractal fluctuations in space or time is generic to all dynamical systems in nature and...

We solve a combinatorial question concerning eigenvalues of the universal intertwining endomorphism subset representation. This is then applied to justify evaluation Eisenbud-Levine-Khimshiashvili (ELK) signature formula for gradient index at degenerate star in arXiv:2001.10882