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Asymptotic rejection of sinusoidal disturbances based voltage balance control in back-to-back power converters [Article]
(2014)
This paper addresses the imbalance problem of the dc-link capacitor voltages in the three-level diode-clamped back-to-back power converter. In order to cope with it, a mathematical analysis of the capacitor voltage difference ...
A duality approach to the symmetry of Bernstein-Sato polynomials of free divisors [Article]
(Elsevier, 2015-08-20)
In this paper we prove that the Bernstein-Sato polynomial of any free divisor for which the D[s]-module D[s]h s admits a Spencer logarithmic resolution satisfies the symmetry property b(−s−2) = ±b(s). This applies in ...
Relations between combinatorial structures and Lie algebras: centers and derived Lie algebras [Article]
(Springer, 2015-04)
In this paper, we study how two important ideals of a given Lie algebra g (namely, the center Z(g) and the derived Lie algebra D(g)) can be translated into the language of Graph Theory. In this way, we obtain some criteria ...
Graph operations and Lie algebras [Article]
(Taylor & Francis, 2013)
This paper deals with several operations on graphs and combinatorial structures linking them with their associated Lie algebras. More concretely, our main goal is to obtain some criteria to determine when there exists a ...
The Newton Procedure for several variables [Article]
(Elsevier, 2011-07-15)
Let us consider an equation of the form P(x, z) = zm + w1(x)zm−1 + · · · + wm−1(x)z + wm(x) = 0, where m>1, n>1, x=(x1⋯xn) is a vector of variables, k is an algebraically closed field of characteristic zero, View the ...
On abelian subalgebras and ideals of maximal dimension in supersolvable Lie algebras [Article]
(Elsevier, 2014-02)
In this paper, the main objective is to compare the abelian subalgebras and ideals of maximal dimension for finite-dimensional supersolvable Lie algebras. We characterise the maximal abelian subalgebras of solvable Lie ...
Combinatorial structures of three vertices and Lie algebras [Presentation]
(Computational and Mathematical Methods in Science and Engineering, 2011)
In this paper, we characterize digraphs of 3 vertices associated with Lie algebras according to isomorphism classes of these associated Lie algebras. At this respect, we introduce and implement two algorithmic methods: the ...
Finite element discretization of the Stokes and Navier-Stokes equations with boundary conditions on the pressure [Article]
(Society for Industrial and Applied Mathematics, 2015)
We consider the Stokes and Navier–Stokes equations with boundary conditions of Dirichlet type on the velocity on one part of the boundary and involving the pressure on the rest of the boundary. We write the variational ...
Estudio fenológico y caracterización morfológica de variedades tradicionales de manzano y melocotonero [Article]
(Sociedad Española de Ciencias Hortícolas (SECH), 2016)
Las variedades locales de frutales seleccionadas a lo largo de los años por los agricultores, son muy interesantes para preservar la biodiversidad y los recursos fitogenéticos, ya que presentan unas características ...
Decomposing Jacobians of curves over finite fields in the absence of algebraic structure [Article]
(Elsevier, 2015-11)
We consider the issue of when the L-polynomial of one curve over Fq divides the L-polynomial of another curve. We prove a theorem which shows that divisibility follows from a hypothesis that two curves have the same number ...