Variability of North Atlantic hurricanes: seasonal versus individual-event features

Tropical cyclones are affected by a large number of climatic factors, which translates into complex patterns of occurrence. The variability of annual metrics of tropical-cyclone activity has been intensively studied, in particular since the sudden activation of the N Atl in the mid 1990's. We provide first a swift overview on previous work by diverse authors about these annual metrics for the NAtl basin, where the natural variability of the phenomenon, the existence of trends, the drawbacks of the records, and the influence of global warming have been the subject of interesting debates. Next, we present an alternative approach that does not focus on seasonal features but on the characteristics of single events [Corral et al Nature Phys 6, 693, 2010]. It is argued that the individual-storm power dissipation index (PDI) constitutes a natural way to describe each event, and further, that the PDI statistics yields a robust law for the occurrence of tropical cyclones in terms of a power law. In this context, methods of fitting these distributions are discussed. As an important extension to this work we introduce a distribution function that models the whole range of the PDI density (excluding incompleteness effects at the smallest values), the gamma distribution, consisting in a power-law with an exponential decay at the tail. The characteristic scale of this decay, represented by the cutoff parameter, provides very valuable information on the finiteness size of the basin, via the largest values of the PDIs that the basin can sustain. We use the gamma fit to evaluate the influence of sea surface temperature (SST) on the occurrence of extreme PDI values, for which we find an increase around 50 % in the values of these basin-wide events for a 0.49 degC SST average difference. ...Comment: final version available soon in the 1st author's web, http://www.crm.cat/Researchers/acorral/Pages/PersonalInformation.asp

Cohen-Macaulay Du Bois singularities with a torus action of complexity one

Using Altmann-Hausen-S\"u\ss\ description of T-varieties via divisorial fans and K\'ovacs-Schwede-Smith characterization of Du Bois singularities we prove that any rational T-variety of complexity one which is Cohen-Macaulay and Du Bois has rational singularities. In higher complexity, we prove an analogous result in the case where the Chow quotient of the T-variety has Picard rank one and trivial geometric genus.Comment: 16 page

Effect of finite terms on the truncation error of Mie series

The finite sum of the squares of the Mie coefficients is very useful for addressing problems of classical light scattering. An approximate formula available in the literature, and still in use today, has been developed to determine a priori the number of the most significant terms needed to evaluate the scattering cross section. Here we obtain an improved formula, which includes the number of terms needed for determining the scattering cross section within a prescribed relative error. This is accomplished using extended precision computation, for a wide range of commonly used size parameters and indexes of refraction. The revised formula for the finite number of terms can be a promising and valuable approach for efficient modeling light scattering phenomena.Comment: 3 pages, 3 figure

Organizational and national issues of an ERP implementation in a Portuguese company

This technical research report describes a case of an Enterprise Resource Planning (ERP) implementation in a Portuguese SME. We focused on the identification of organizational factors that affect the ERP implementation project. We also analyzed the ERP implementation project from a national cultural perspective using Geert Hofstede's dimensions. These dimensions were used to explain some of the attitudes and behaviours during the ERP implementation project. The findings suggest that some of the problems in ERP implementation projects are not of technological nature but may be attributed to organizational factors while some issues related to national culture.Postprint (published version