Non-Commutative differential calculi on quantum groups were first studied by S. L. Woronowicz [W1], [W2]. His seminal paper [W2] provides a general framework for such calculi. Following the general ideas of A. Connes the basic objects in this approach are differential forms rather than vector fields. It seems that there is no functorial way to construct differential calculi for general quantum ...

Bacteriocin has been used widely in industry as a Backgrounds biopreservative agent. The objective of the present study was to investigate the potency of Bacteriocin isolated from tiger prawn and Penaeus monodon freshwater shrimp as an anti-bacterial on fish. Macrobrachium rosenbergii : A total of ten candidates of probiotic bacteria consisted of five Methods isolates from tiger shrimps (H1, H2...

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...

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,...

We give the sketch of a combinatorial proof of the construction by Gromov of a group whose Cayley graph contains a family of expanders. Combining the methods in [Oll1] and [Oll2], it is possible to give a proof of the construction invented by M. Gromov in [G] that there is an infinite group whose Cayley graph contains (in some quasi-isometric sense) a family of expanders. We only give the main ...