We prove a result of classification for germs of formal and convergent quasi-homogeneous foliations in C 2 with fixed separatrix. Basically, we prove that the analytical and formal class of such a foliation depend respectively only on the analytical and formal class of its representation of projective holonomy.

This papers aims at clarifying the meaning of diierent interpretations of the Max-Min or, more generally, the Max-t-norm rule in fuzzy systems. It turns out that basically two distinct approaches play an important role in fuzzy logic and its applications: fuzzy interpolation on the basis of an imprecisely known function and logical inference in the presence of fuzzy information .

Background Extraovarian Primary Peritoneal Carcinoma (EOPPC) was first described by Swerdlow in 1959 [1]. Basically, EOPPC is a malignancy that spreads widely inside the peritoneal cavity involving mostly the omentum with minimal or no ovarian involvement. Most of the EOPPC cases reported have been of serous histology; histopathological, immunohistochemical, and clinical similarities have been ...

We propose a novel approach to performance prediction of OWL reasoners that selects suitable, small ontology subsets, and then extrapolates to the whole ontology. Our second contribution concerns ontology features: we report their high intercorrelation using PCA: the ontologies basically differ in one or two features.

In this paper we analyze the efficacy of the LAPACK blocked routine for the Cholesky factorization of symmetric positive definite band matrices on Intel SMP platforms using two multithreaded implementations of BLAS. We also propose strategies that alleviate some of the performance degradation that is observed, and which is basically due to the use of multiple threads when dealing with problems ...

Shepard developed a scheme for interpolation to arbitrarily spaced discrete bivariate data. This scheme provides an explicit global representation for an interpolant which satisfies a maximum principle and which reproduces constant functions. The interpolation method is basically an inverse distance formula which is generalized to any Euclidean metric. These techniques extend to include interpo...

A T-mesh is basically a rectangular grid that allows T-junctions. Recently, Deng etal introduced splines over T-meshes, which are generalizations of T-splines invented by Sederberg etal, and proposed a dimension formula based on the B-net method. In this paper, we derive an equivalent dimension formula in a different form with the smoothing cofactor method. Mathematics subject classification:

This article studies differentiability properties for a reformulation of a player convex generalized Nash equilibrium problem as a constrained and possibly nonsmooth minimization problem. By using several results from parametric optimization we show that, apart from exceptional cases, all locally minimal points of the reformulation are differentiability points of the objective function. This ju...

We present a heuristic algorithm for solving the scheduling problem in a glass factory. It is basically a flexible job shop problem, with some added complexities due to the special characteristics of the machines involved in the production process. The main objective function is a non-convex function of completion times and duedates, and some secondary objectives are also considered.

A fuzzy microcontroller is presented implementing a simplified inference mechanism. Fuzzification, rule composition and defuzzification are carried out by means of (basically) analog current-mode CMOS circuits operating in strong inversion. Also a voltage interface is provided with the external world. Combining analog and digital techniques allow a programming capability.