We investigate the growth of the number wk of walks of length k in undirected graphs as well as related inequalities. We provide an insight into the relations between certain combinatorial properties of graphs and (spectral) algebraical characterizations in terms of eigenvalues and eigenvectors of the adjacency matrix. We show that the inequality w2a · w2(a+b+c) ≥ w2a+c · w2(a+b)+c is valid for...

At the Northern General Hospital, there are sixteen medical wards, spread over approximately half a mile. Weekend care for inpatients on these wards is provided by a team of four junior doctors, of different levels of training. We undertook a quality improvement project to reduce the amount of time junior doctors spent performing routine tasks at weekends. This may increase their available time...

Chronic hepatitis C virus (HCV) infection is characterized by dysregulated natural killer (NK) cell responses. NKs play a critical role in achieving sustained responses to interferon (IFN)-α-based therapy. Rapid sustained HCV-RNA clearance is now achieved with direct-acting antivirals (DAAs). Studies of patients receiving first-wave DAAs suggest NK functional restoration. Here, we investigate t...

We study the four-weight spin models (W1, W2, W3, W4) introduced by Eiichi and Etsuko Bannai (Pacific J. of Math, to appear). We start with the observation, based on the concept of special link diagram, that two such spin models yield the same link invariant whenever they have the same pair (W1, W3), or the same pair (W2, W4). As a consequence, we show that the link invariant associated with a ...

BACKGROUND Although differences of opinion and controversies may arise, lessons learned from military conflicts often translate into improvements in triage, resuscitation strategies, and surgical technique. Our fully integrated national trauma system, providing care for both military and civilian casualties, necessitates close cooperation between all aspects of both sectors. We theorized that l...

Hydrodynamic behavior and the associated discussions of viscosity at RHIC has inspired a renaissance in modeling viscous hydrodynamics. An explanation of Israel-Stewart hydrodynamics is presented here, with an emphasis on the tangible benefits compared to Navier Stokes.

In this study, a typical apple–soybean intercropping system was used to analyze the effects of different soil water and heat regulation modes on spatial distribution content (SWC), photosynthetic physiological characteristics, growth. Three maximum irrigation levels [50% (W1), 65% (W2), 80% (W3) field capacity (FC)] two mulching intervals [from seedling podding stage (M1) during full (M2) soybe...

We present new empirical infrared Period-Luminosity-Metallicity (PLZ) and Period-Wesenheit-Metallicity (PWZ) relations for RR Lyrae based on the latest Gaia EDR3 parallaxes. The are provided in WISE $W1$ $W2$ bands, as well $W(W1, V - W1)$ $W(W2, W2)$ Wesenheit magnitudes. calibrated using a very large sample of Galactic halo field stars with homogeneous spectroscopic [Fe/H] abundances (over 1,...