Unfortunately, specialised small units or geriatric hospitals often do not have a diabetic liaison sister and in these problems such as Dr Whyte reported occur. In our area one patient was discharged from one such hospital with 100 unit insulin but an old 20 unit syringe. Luckily an astute district nurse spotted the mistake before harm occurred. Perhaps in these units one trained nurse should b...

intimately connected with duality theory (the notation is that of [1]). In both cases the middle algebra is the closure of L(G) in the dual of the first algebra and also the predual of the third algebra (at least when G is amenable in the second case). Furthermore, the third algebra is closely connected with the multiplier algebra of the first algebra. For abelian groups, compact or discrete, V...

Among non-canonical DNA secondary structures, G-quadruplexes are currently widely studied because of their probable involvement in many pivotal biological roles, and for their potential use in nanotechnology. The overall quadruplex scaffold can exhibit several morphologies through intramolecular or intermolecular organization of G-rich oligodeoxyribonucleic acid strands. In particular, several ...

enforces the Landau gauge ∂μA a μ = 0. b a is the Lagrange multiplier and c, c are the ghost and antighost fields. The covariant derivative in the adjoint representation is given by D μ = δ ∂μ − gf Aμ . (4) For d = 3, the coupling g becomes a dimensional quantity itself. As a consequence, the three-dimensional YangMills theory (1) is superrenormalizable. Such theories exhibit serious problems i...

in this paper, we introduce new classes $sum_{k,p,n}(alpha ,m,lambda ,l,rho )$ and $mathcal{t}_{k,p,n}(alpha ,m,lambda ,l,rho )$ of p-valent meromorphic functions defined by using the extended multiplier transformation operator. we use a strong convolution technique and derive inclusion results. a radius problem and some other interesting properties of these classes are discussed.

The norm of $C-I$ on $\ell^p$, where $C$ is the Ces\`aro operator, shown to be $1/(p-1)$ when $1<p\le2$. This verifies a recent conjecture G. J. O. Jameson. $\ell^p$ also determined $2< p<\infty$. two parts together answer question raised by Bennett in 1996. Operator norms continuous case, Hardy's averaging operator minus identity, are already known. Norms discrete and cases coincide.

The Heun equation can be rewritten as an eigenvalue equation for an ordinary differential operator of the form −d 2 /dx 2 + V (g; x), where the potential is an elliptic function depending on a coupling vector g ∈ R 4. Alternatively, this operator arises from the BC 1 specialization of the BC N elliptic nonrelativistic Calogero–Moser system (a.k.a. the Inozemtsev system). Under suitable restrict...