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A note on logical connectives with weak duality
(20150331)
Article
Restricted access  publisher's policyWe study the weak duality S(x, N(x)) = N(T (x, N(x))) where S is a continuous tconorm, T is a continuous tnorm and N is a strong negation. We characterize completely the strict cases and show that in all other cases there ... 
A note on multinomial (probabilistic) values
(2015)
Conference lecture
Open AccessThe work tries to contribute to a better understanding of multinomial values as a consistent alternative or complement to classical values (Shapley and Banzhaf). We compare the behavior of multinomial values with respect ... 
A note on symplectic and Poisson linearization of semisimple Lie algebra actions
(201503)
External research report
Open AccessIn this note we prove that an analytic symplectic action of a semisimple Lie algebra can be locally linearized in Darboux coordinates. This result yields simultaneous analytic linearization for Hamiltonian vector fields ... 
A note on tests for market integration in a multivariate nonstationary framework
(200105)
Article
Restricted access  publisher's policy 
A note on the application of integrals involving cyclic products of kernels
(Institut d'Estadística de Catalunya, 2002)
Article
Open AccessIn statistics of stochastic processes and random fields, a moment function or a cumulant of an estimate of either the correlation function or the spectral function can often contain an integral involving a cyclic product ... 
A note on the convergence of the secant method for simple and multiple roots
(Elsevier, 200311)
Article
Open AccessThe secant method is one of the most popular methods for root finding. Standard text books in numerical analysis state that the secant method is super linear: the rate of convergence is set by the gold number. Never theless, ... 
A note on the degree sequences of graphs with restrictions
(20080115)
Article
Open AccessDegree sequences of some types of graphs will be studied and characterized in this paper. 
A note on the dynamics around the L1,2 Lagrange points of the EarthMoon system in a complete solar system model
(2012)
Conference report
Open AccessThe purpose of this paper is the study of the phase space around the collinear libration points L1 and L2 of the Earth–Moon system when the gravitational effects of the remaining bodies of the Solar System are taken into ... 
A note on the dynamics around the Lagrange collinear points of the EarthMoon system in a complete Solar System model
(201302)
Article
Restricted access  publisher's policyIn this paper we study the dynamics of a massless particle around the L 1,2 libration points of the Earth–Moon system in a full Solar System gravitational model. The study is based on the analysis of the quasiperiodic ... 
A note on the dynamics around the Lagrange points of the EarthMoon system in a complete Solar System model
(2013)
Conference report
Open AccessThis paper studies the dynamics of a massless particle around the libration points of the Earth  Moon system in a full Solar System gravitational model. The study is based on the analysis of the quasi  periodic ... 
A Note on the Dynamics of PiecewiseAutonomous Bistable Parabolic Equations
(2000)
Article
Open Access 
A note on the Ecogen language builtin random deviate generators
(Universitat Politècnica de Barcelona. Centre de Càlcul, 198609)
Article
Open AccessThe standard ECOGEN (a simulation language based on Pascal) random deviate generators are described. For every one of them, a short usage note and a description of the algorithm and underlying theory is presented. This ... 
A note on the Fisher information matrix for the skewgeneralizednormal model
(Institut d'Estadística de Catalunya, 2013)
Article
Open AccessIn this paper, the exact form of the Fisher information matrix for the skewgeneralized normal (SGN) distribution is determined. The existence of singularity problems of this matrix for the skewnormal and normal particular ... 
A note on the likelihood and moments of the skewnormal distribution
(Institut d'Estadística de Catalunya, 2008)
Article
Open AccessIn this paper an alternative approach to the one in Henze (1986) is proposed for deriving the odd moments of the skewnormal distribution considered in Azzalini (1985). The approach is based on a Pascal type triangle, which ... 
A note on the matrix Haffian
(Institut d'Estadística de Catalunya, 2000)
Article
Open Access 
A note on the periodic orbits and topological entropy of graph maps
(2000)
Article
Open AccessThis paper deals with the relationship between the periodic orbits of continuous maps on graphs and the topological entropy of the map. We show that the topological entropy of a graph map can be approximated by the entropy ... 
A note on the relationship between spectral radius and norms of bounded linear operators
(2009)
Article
Open AccessLet X be a Banach space and L ( X ) be the Banach algebra of bounded operators on X . In this note we prove that if we have a compact subset K of a commutative subalgebra of L ( X ), and given " > 0, then ... 
A note on the scalar Haffian
(Institut d'Estadística de Catalunya, 2000)
Article
Open AccessIn this note a uniform transparent presentation of the scalar Haffian will be given. Some wellknown results will be generalized. A link will be established between the scalar Haffian and the derivative matrix as developed ... 
A note on the subgraphs of the (2×\infty)grid
(201002)
Article
Restricted access  publisher's policyWe give a lineartime algorithm checking whether a graph is a subgraph of the (2×k)grid for some value of k. Our algorithm is based on a detailed characterization of the structure of such graphs. 
A note on the symmetric difference in lattices
(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2005)
Article
Open AccessThe paper introduces a definition of symmetric difference in lattices with negation, presents its general properties and studies those that are typical of ortholattices, orthomodular lattices, de Morgan and boolean algebras.