It is shown here that if (Y, ‖ · ‖Y ) is a Banach space in which martingale differences are unconditional (a UMD Banach space) then there exists c = c(Y ) ∈ (0,∞) with the following property. For every n ∈ N and ε ∈ (0, 1/2], if (X, ‖·‖X) is an n-dimensional normed space with unit ball BX and f : BX → Y is a 1-Lipschitz function then there exists an affine mapping Λ : X → Y and a sub-ball B∗ = ...

We investigate the vertical structure of the outer layers of accretion discs in which the local viscous energy dissipation rate scales with the pressure as for standard ShakuraSunyaev discs. It has been pointed out by several authors that a thermal instability occurs in the outer layers of such discs when the gas pressure drops below a certain value. When the density becomes too low thermal equ...

This paper will investigate the impact of a Distributed Searchable Cache (DiSC) system on improving Internet access in the developing world. Our research has three objectives. First, we test the general viability of DiSC in a developing nation computing environment. Next, we examine the potential utility of DiSC in this setting, based on technical results, survey data, and interviews. Lastly, w...

!. Two psychophysical tests to assess retinal function in ocular hypertension and glaucoma are described. The basis for these tests is the frequency-doubled percept seen with rapid temporal modulation of the contrast of very low spatial frequencies. 2. The results of the second set of experiments show correlation (P < 0.01) with optic disc cupping. Without the inclusion of information about sub...

Background: lumbar disc degeneration is a multifactorial degenerative disease which is affected by genetic inheritance and environmental factors. Type XI collagen is important for organization of the extracellular matrix and cartilage collagen construction. Rs1676486 is a SNP that causes the conversion of C-T, resulting in a change in the expression of the collagen 11 alpha chain. The T allele ...

Disc spectra from highly luminous black hole binaries are observed to be rather simple, despite theoretical predictions to the contrary. We collate the disc-dominated spectra from multiple observations of 10 separate sources, and show that these overwhelmingly follow a multi-temperature disc blackbody spectrum with luminosity∝ T , and that such discs are stable. These results are in conflict wi...

background & aim: low back pain is the most debilitating condition, and can lead to decreased physical function, compromised quality of life, and psychological distress. several studies has conducted to recognize the risk factors of lbp, but despite of strong relationship between obesity and lbp, the underlying mechanisms are unclear. the aim of this study was to evaluate the relationship betwe...