In the constructible universe, we construct a co-analytic maximal family of pairwise eventually different functions from $\mathbb{N}$ to which remains after adding arbitrarily many Sacks reals (by countably supported iteration or product).

The singularity category of a ring makes only the modules finite projective dimension vanish among modules, so that is expected to characterize homological property infinite dimension. In this paper, such we deal with eventually periodic over left artin ring, and, as our main result, them in terms morphisms category. As applications, first prove that, for class dimensional algebras field, being...

We introduce the study of potentially eventually exponentially positive (PEEP) sign patterns and establish several results using the connections between these sign patterns and the potentially eventually positive (PEP) sign patterns. It is shown that the problem of characterizing PEEP sign patterns is not equivalent to that of characterizing PEP sign patterns. A characterization of all 2× 2 and...

We present a novel implementation of the eventually perfect failure detector (3P) from the original hierarchy of Chandra-Toueg oracles. Previous implementations of 3P have assumed models of partial synchrony where point-to-point message delay is bounded and/or communication is reliable. We show how to implement this important oracle under even weaker assumptions using Average Delayed/Dropped (A...

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dxl of calcaneus is a portable method for bmd. this study determined a cut off point for dxl in osteoporosis diagnosis. in 510 healthy postmenopausal women, bmd of axial regions with dxa (dpx-md, ge,lunar corp, madison, wi) and heel with dxl (demeteck- sweden), measured. the agreement of two methods and cut off point for dxl in defining osteoporosis, obtained. dxa found osteoporosis in 34.3% an...