We analyze the thermal magnetization reversal processes in magnetic grains. Two experiments are carried out: swtiching time and switching field experiments. In both cases, we find that the simulated behavior is coherent with existing experimental data (the streched exponent of the switching time experiment increases with the temperature and is superior to unity; there exists a master curve for ...

In this paper we derive a model describing the dynamics of HIV-1 infection in tissue culture where the infection spreads directly from infected cells to healthy cells trough cell-to-cell contact. We assume that the infection rate between healthy and infected cells is a saturating function of cell concentration. Our analysis shows that if the basic reproduction number does not exceed unity then ...

Supersymmetry implies that the trilinear couplings between gauge bosons and gauginos are equal to all orders. However if SUSY is broken and some of the superpartners have large SUSY breaking masses then they can induce non-decoupling deviations in this relation through radiative corrections. In this work we show that the deviation in the ratio g̃wχ̃γ̃ gγww from unity can be around 2.3% (3.3%) in h...

Two very different problems that can be studied by renormalization group methods are discussed with the aim of showing the conceptual unity that renormalization group has introduced in some areas of theoretical Physics. The two problems are: the ground state theory of a one dimensional quantum Fermi liquid and the existence of quasi periodic motions in classical mechanical systems close to inte...

We focus on the group inverse of modified matrices M = A−BC, where A is an n×n matrix with entries in an arbitrary ring R with unity and B, n×k, and C, k×n, are matrices having entries in R. We assume that A has the group inverse and we give conditions that guarantee the existence of the group inverse of M . We present an extension of the Sherman-Morrison-Woodbury formulae for the group inverse...

We study the existence of almost split sequences in tri-exact categories, that is, extension-closed subcategories triangulated categories. Our results unify and extend a number theorems for abelian categories exact (that categories), those triangles by numerous researchers. As applications, we obtain some new on derived all modules over an algebra with unity or locally finite dimensional given ...

The microscopic events engendering liquid water evaporation have received much attention over the last century, but remain incompletely understood. We present measurements of isotope fractionation occurring during free molecular evaporation from liquid microjets and show that the isotope ratios of evaporating molecules exhibit dramatic differences from equilibrium vapor values, strong variation...

| Some applications of the Discrete Fourier Transform (DFT) in coding and in cryptography are described. The DFT over general commutative rings is introduced and the condition for its existence given. Blahut's Theorem, which relates the DFT to linear complexity, is shown to hold unchanged in general commutative rings. I. The (Usual) Discrete Fourier Transform Let be a primitive N th root of uni...

We focus on the group inverse of modified matrices M = A−BC, where A is an n×n matrix with entries in an arbitrary ring R with unity and B, n×k, and C, k×n, are matrices having entries in R. We assume that A has the group inverse and we give conditions that guarantee the existence of the group inverse of M . We present an extension of the Sherman-Morrison-Woodbury formulae for the group inverse...

A federal state requires for its formation two conditions. There must exist, in the first place, a body of countries _ so closely connected by locality, by history, by race, or the like, as to be capable of bearing in the eyes of their inhabitants, an impress of common nationality _ A second condition absolutely essential to the founding of a federal system is the existence of a very peculiar _...