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Using a CASdeveloped random samples generator for teaching and research in probabilistic cellular automata and Statistics
(20190725)Our group introduced random samples generation using a CAS, specifically Derive, in the Derive session of ACA 2009. This talk was extended in a paper published in The Derive Newsletter. In the year 2017 we presented a ... 
Teaching the residue theorem and its applications with a CAS
(20190725)The residue theorem is one of the most interesting result in Complex Analysis which allows not only computations in C, the Field of Complex Numbers, but also provides many applications in the Field of Real Numbers R. In ... 
SFOPDES: A stepwise tutorial for teaching Partial Differential Equations using a CAS
(20190725)Partial Differential Equations (PDE) are one of the most difficult topics that Engineering and Sciences students have to study in the different Math subjects in their degree. In this talk we introduce SFOPDES (Stepwise ... 
Dynamic clustering of time series with Echo State Networks
(20190605)In this paper we introduce a novel methodology for unsupervised analysis of time series, based upon the iterative implementation of a clustering algorithm embedded into the evolution of a recurrent Echo State Network. The ... 
Fostering the cooperative learning of mathematics in engineering schools through the "TeacherApprentice" group dynamics
(20190530)In this presentation, we report on the experience gained and the results obtained from an educational innovation project that has sought to introduce cooperative learning into the mathematics subjects of the first year of ... 
Nonassociative structures and 3Sasakian homogeneous manifolds
(20190517)The 3Sasakian homogeneous spaces are certain contact manifolds whose geometric structure is very well codified in Lie theoretical terms. This fact can be used to find interesting invariant affine connections, with nice ... 
Graph theory with an introduction to algebraic graph theory
(20180920)Firstly, we shall start with an introduction to the main topics in Graph Theory with special emphasis in connectivity, colorability and planarity. The, we shall continue with the firsts concepts in Algebraic Graph Theory. ... 
Datadriven distributionally robust optimization with Wasserstein metric, moment conditions and robust constraints
(20180712)We consider optimization problems where the information on the uncertain parameters reduces to a finite data sample. Using the Wasserstein metric, a ball in the space of probability distributions centered at the empirical ... 
Predicting the electricity demand response via datadriven inverse optimization
(20180706)A method to predict the aggregate demand of a cluster of priceresponsive consumers of electricity is discussed in this presentation. The priceresponse of the aggregation is modeled by an optimization problem whose ... 
Teaching Partial Differential Equations with CAS
(20180622)Partial Differential Equations (PDE) are one of the topics where Engineering students find more difficulties when facing Math subjects. A basic course in Partial Differential Equations (PDE) in Engineering, usually deals ... 
New rules for improving CAS capabilities when computing improper integrals. Applications in Math Education
(20180622)In many Engineering applications the computation of improper integrals is a need. In [1] we pointed out the lack of some CAS when computing some types of improper integrals. Even more, the work developed showed that some ... 
Server information mechanism in a discretetime queueing system
(20180614)This paper discusses a discretetime queueing system in which an arriving customer may adopt four di erent strategies depending on the income information, two of them correspond to a LCFS discipline where displacements ... 
Using extensions of the residue theorem for improper integrals computations with CAS
(20180614)The computation of improper integrals of the rst kind (integrals on unbounded domain) are used in di erent applications in Engineering (for example in Kynetic Energy, electric potential, probability density functions, ... 
A fast functional approach to personalized menus generation using set operations
(20180614)The authors developed some time ago a RBES devoted to preparing personalized menus at restaurants according to the allergies, religious constraints, likes and other diet requirements as well as products availability. A ... 
Introducing probabilistic celular automata. A versatile extension of Game of Live
(20180614)The "Game of life" model was created in 1970 by the mathematician Jonh Horton Conway using cellular automata. Since then, di erent extensions of these cellular automata have been used in many applications, such as car ... 
Formal concept analysis and structures underlying quantum logics
(20180604)A Hilbert space $H$ induces a formal context, the Hilbert formal context $\overline H$, whose associated concept lattice is isomorphic to the lattice of closed subspaces of $H$. This set of closed subspaces, denoted $\mathcal ... 
Nonnegative matrix factorization for medical imaging
(i6doc.com, 2018)A nonnegative matrix factorization approach to dimensionality reduction is proposed to aid classification of images. The original images can be stored as lowerdimensional columns of a matrix that hold degrees of belonging ... 
Random samples generation with Stata from continuous and discrete distributions
(20180312)Simulations are nowadays a very important way of analyzing new improvements in different areas before the physical implementation, which may require hard resources which could only be affronted in case of a high probability ... 
Gradings on Lie Algebras: main results and tools
(20180307)The aim of this talk is not to provide an explicit and complete classification of the gradings on simple finitedimensional Lie algebras, complex and real, simply because the topic is too wide. Thus, we have selected some ... 
On the homological properties of the universal enveloping Leibniz algebra
(20180227)We presente a study of graded Leibniz algebras and its universal enveloping Leibniz algebra. We prove that the universal enveloping Leibniz algebra of a finite dimensional graded Leibniz algebra is a quasiKoszul algebra ...