Recursion Operators and Frobenius Manifolds

In this note I exhibit a "discrete homotopy" which joins the category of F-manifolds to the category of Poisson-Nijenhuis manifolds, passing through the category of Frobenius manifolds

COST : action chemistry conference on supramolecular chemistry in water

Scientists and chemists from 18 countries gathered in Malta for the 3rd Scientific Meeting on Supramolecular Chemistry in Water between the 9 − 11th of November 2013 at the Old University Building on St Paul Street in Vallettapeer-reviewe

The financing of small innovative firms: The Italian case

Small firms encounter difficulties in raising external finance owing to greater information problems. For small innovative firms, whose activity is more difficult to evaluate, the cost of external finance could be even higher. This paper examines special features of the financial structure of small innovative firms, compared with firms of similar size that do not innovate. The evidence shows that small innovators rely less on financial debt and more on internal financial resources; no important differences appear for large firms. This is consistent with the view that informational problems mainly affect small firms; large firms, even when they innovate, continue to rely on their traditional set of financial instruments. Another finding is that in small innovative firms investment is less sensitive to cash flow than in small non-innovative firms, probably because the high incidence of internal financial resources allows them more flexibility in deciding their investments. No comparable difference is found between innovative and non-innovative large firms.corporate finance, innovative firms, investment dynamics

Superintegrable Calogero-type systems admit maximal number of Poisson structures

We present a general scheme for constructing the Poisson structure of super-integrable dynamical systems of which the rational Calogero-Moser system is one of the most interesting one. This dynamical system is $2N$ dimensional with $2N- 1$ first integrals and our construction yields $2N-1$ degenerate Poisson tensors that each admit $2(N-1)$ Casimirs. Our results are quite generally applicable to all super-integrable systems and form an alternative to the traditional bi-Hamiltonian approach

On the use of the theory of dynamical systems for transient problems

This paper is a preliminary work to address the problem of dynamical systems with parameters varying in time. An idea to predict their behaviour is proposed. These systems are called \emph{transient systems}, and are distinguished from \emph{steady systems}, in which parameters are constant. In particular, in steady systems the excitation is either constant (e.g. nought) or periodic with amplitude, frequency and phase angle which do not vary in time. We apply our method to systems which are subjected to a transient excitation, which is neither constant nor periodic. The effect of switching-off and full-transient forces is investigated. The former can be representative of switching-off procedures in machines; the latter can represent earthquake vibrations, wind gusts, etc. acting on a mechanical system. This class of transient systems can be seen as the evolution of an ordinary steady system into another ordinary steady system, for both of which the classical theory of dynamical systems holds. The evolution from a steady system to the other is driven by a transient force, which is regarded as a map between the two steady systems.Comment: 7 pages, 9 figure

Melanoma

Melanoma is a relatively common neoplasm which is increasing in incidence. Melanoma appears as a variegated irregular maculopapular lesion usually on the skin, but possibly on mucosae, conjunctiva, orbit, nails and oesophagus. They may be black, brown, red-blue, grey or unpigmented. Histologically they are larger than nevi cells with irregular nucleoli and eosinophilic nucleoli. [1] Melanoma incidence in Malta is lower than that in northern Europe and is similar to that in southern Europe. However, incidence appears to be increasing. . In a study done between the years 2000-2004 the rates for invasive melanoma were of 8.81 per 100,000 (males) and 7.29 per 100,000 (females). A relatively high proportion of patients present with thick lesions emphasising the importance of continued efforts to diagnose cases earlier. [2] Aim: The aim of this article is to make the reader aware of the importance of early detection and prevention of melanoma, to highlight the risk factors for developing melanoma and to outline the way in which melanoma is diagnosed, treated and followed up.peer-reviewe