Abstract:
Showing the origin of the mass in an additional coupling between field quantum oscillators, we formulate a hypothesis of a geometrical structure of the oscillators of “fields-particles”. In this way, we define the possible structure of quarks and hadrons (as the proton). This hypothesis is reasonable if one admits field oscillators composed by sub-oscillators at semi-quantum (IQuO) and in which a degree of internal freedom is definable. Using the IQuO model, we find the origin of the sign of electric charge in to particles and, in quarks, the isospin, the strangeness and colour charge. Finally, we formulate the structure of the gluons and the variation modality of the colour charge in quarks.

Abstract:
We formulate the idea of a Universe crossing different evolving phases where in each phase one can define a basic field at lattice structure (U_{k}) increasing in mass (Universe-lattice). The mass creation in Uk has a double consequence for the equivalence “mass-space”: Increasing gravity (with varying metric) and increasing space (expansion). We demonstrate that each phase is at variable metric beginning by open metric and to follow a flat metric and after closed. Then we define the lattice-field of intersection between two lattice fields of base into universe and we analyse the universe in the Nucleo-synthesis phase (intersection-lattice ) and in the that of recombination (intersection-lattice ). We show that the phase is built on the intersection of the lattices of the proton (U_{p}) and electron (U_{e}) or . We show U_{H} to be at variable metric (open in the past, flat in the present and closed in the future). Then, we explain some fundamental aspects of this universe UH: Hubble’s law by creating the mass-space in it, its age (13.82 million of Years) as time for reaching the flat metric phase and the value of critic density. In last we talk about dark universe lattice , having hadronic nature, and calculating its spatial step and its density in present phase of .

Abstract:
In this paper we complete the relativistic cosmological theory because we extend the variational principle including variations of metric induced by expansion of the space. We will show that the mass not only curves Space and Time but also generates them: we’ll speak of the principle of mass-space equivalence. Then the increasing mass generates variations of metric as also the space increasing or expansion. So, the dark component of the mass generates additional gravity around galaxies as well as additional space, which generates a pressure (dark energy) accelerating the galaxies in their move away. All this could explain the cosmic coincidence (Ωdm/Ωde ≈ 1). To talk about the increasing mass is equivalent to speak of mass creation in universe, causing the variation of the tensor (T) mass-energy tensor of all component fields. We conjecture that its variation is caused by mass-energy flow comes out from a physical system (Θ) composed by set of uncoupled quantum oscillators (structure of no-field) in vacuum state. All this allows formulating a variational principle which generates the cosmological equation with the (Λ) parameter and a tensor T* with variable mass density, where T*(T, Θ).

Abstract:
An oscillator (IQuO) more elementary than the quantum one is formulated. This is expressed by quantum operators (a, a+), with two-components and it is composed of sub-oscillators, each with "semi-quanta" (1/2h). The commutation relation of the (a,a+) "semi-quanta" operators is then calculated and the structure by IQuO of the scalar fields is defined with and without electric charge. Processing a coupling mechanism of electrically neutral IQuO that produces a pair (matter-antimatter) with electric charge and not. Through the IQuO-structure it is possible to interpret the electric charge and the isospin (in hadrons) as rotations in an inside space in the particle. Finally, a sub-structure of the quarks is conjectured and one define in probabilistic terms the non-integer value of their electrical charge.

Abstract:
A selfcontained proof of the KAM theorem in the Thirring model is discussed, completely relaxing the ``strong diophantine property'' hypothesis used in previous papers. Keywords: \it KAM, invariant tori, classical mechanics, perturbation theory, chaos

Abstract:
In this paper we consider a Bayesian analysis of contingency tables allowing for the possibility that cells may have probability zero. In this sense we depart from standard log-linear modeling that implicitly assumes a positivity constraint. Our approach leads us to consider mixture models for contingency tables, where the components of the mixture, which we call model-instances, have distinct support. We rely on ideas from polynomial algebra in order to identify the various model instances. We also provide a method to assign prior probabilities to each instance of the model, as well as describing methods for constructing priors on the parameter space of each instance. We illustrate our methodology through a $5 \times 2$ table involving two structural zeros, as well as a zero count. The results we obtain show that our analysis may lead to conclusions that are substantively different from those that would obtain in a standard framework, wherein the possibility of zero-probability cells is not explicitly accounted for.

Abstract:
Quasi-periodic motions on invariant tori of an integrable system of dimension smaller than half the phase space dimension may continue to exists after small perturbations. The parametric equations of the invariant tori can often be computed as formal power series in the perturbation parameter and can be given a meaning via resummations. Here we prove that, for a class of elliptic tori, a resummation algorithm can be devised and proved to be convergent, thus extending to such lower-dimensional invariant tori the methods employed to prove convergence of the Lindstedt series either for the maximal (i.e. KAM) tori or for the hyperbolic lower-dimensional invariant tori.

Abstract:
A description of the sanitary measures adopted in Lombardy Region against the spreading of rabies in populations of foxes is provided. Detailed accounts are reported for the Province of Sondrio. Riassunto Viene fornito un quadro sintetico relativo all'andamento dell'epidemia di rabbia silvestre nel territorio della Regione Lombardia e ai provvedimenti di controllo sanitario adottati nei confronti delle popolazioni di Volpe. Più in dettaglio è esaminata la situazione in provincia di Sondrio.

Abstract:
Glucagonomas are pancreatic islet cell tumors arising from the alpha cells which belong to neuroendocrine tumors. They frequently metastasize to the liver. We report the case of a 52- year old man with a pancreatic glucagonoma with synchronous multiple liver metastases treated by surgery, transarterial chemoembolization, percutaneous radiofrequency thermal ablation and long-acting octreotide. Our report confirms that a multimodal approach is very effective in patients with unresectable liver metastases from pancreatic endocrine tumors providing long-lasting palliation and probably prolonging survival.