The de Rham-Witt and Z_p-cohomologies of an algebraic variety

We show how the Z_p(r)-cohomologies of a smooth projective algebraic variety can be obtained via its de Rham-Witt complex.Comment: 6 page

Cohomological Hasse principle and motivic cohomology for arithmetic schemes

In 1985 Kazuya Kato formulated a fascinating framework of conjectures which generalizes the Hasse principle for the Brauer group of a global field to the so-called cohomological Hasse principle for an arithmetic scheme. In this paper we prove the prime-to-characteristic part of the cohomological Hasse principle. We also explain its implications on finiteness of motivic cohomology and special values of zeta functions.Comment: 47 pages, final versio

Inhomogeneity of the intrinsic magnetic field in superconducting YBa2Cu3OX compounds as revealed by rare-earth EPR-probe

X-band electron paramagnetic resonance on doped Er3+ and Yb3+ ions in Y0.99(Yb,Er)0.01Ba2Cu3OX compounds with different oxygen contents in the wide temperature range (4-120)K have been made. In the superconducting species, the strong dependencies of the linewidth and resonance line position from the sweep direction of the applied magnetic field are revealed at the temperatures significantly below TC. The possible origins of the observed hysteresis are analyzed. Applicability of the presented EPR approach to extract information about the dynamics of the flux-line lattice and critical state parameters (critical current density, magnetic penetration depth, and characteristic spatial scale of the inhomogeneity) is discussedComment: 17 pages, 5 Figures. Renewed versio

Effective and Efficient Similarity Index for Link Prediction of Complex Networks

Predictions of missing links of incomplete networks like protein-protein interaction networks or very likely but not yet existent links in evolutionary networks like friendship networks in web society can be considered as a guideline for further experiments or valuable information for web users. In this paper, we introduce a local path index to estimate the likelihood of the existence of a link between two nodes. We propose a network model with controllable density and noise strength in generating links, as well as collect data of six real networks. Extensive numerical simulations on both modeled networks and real networks demonstrated the high effectiveness and efficiency of the local path index compared with two well-known and widely used indices, the common neighbors and the Katz index. Indeed, the local path index provides competitively accurate predictions as the Katz index while requires much less CPU time and memory space, which is therefore a strong candidate for potential practical applications in data mining of huge-size networks.Comment: 8 pages, 5 figures, 3 table

Concordance Between Rating of Perceived Exertion and Function in Persons with Chronic, Disabling Back Pain

Rating of perceived exertion (RPE), or the Borg scale, has been shown to be positively associated with physiologic effort in individuals undergoing cardiovascular assessment. This study examined the correlations between cardiovascular performance, psychosocial factors, and the RPE scale among 50 persons with chronic pain undergoing multidisciplinary assessment. The results indicated a significant negative association between fitness outcome measures (maximum VO 2 and endurance on bicycle), psychosocial measures, and age. With a mean maximum heart rate achieved on the exercise bicycle of 79.2% (SD = 8.3), there was no significant association between the highest rating of perceived exertion on the exercise bicycle test and percent of maximum heart rate. Percent of maximum heart rate was significantly related to self-reported pain and disability as well as age. These findings suggest that perceived exertion in this population is not highly correlated with physiologic effort, as other factors such as pain may influence effort ratings.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/45007/1/10926_2004_Article_368819.pd