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An approximate structure theorem for small sumsets
(Birkhäuser, 2021-08-24)
Part of book or chapter of book
Restricted access - publisher's policyLet A and B be randomly chosen s-subsets of the first n integers such that their sumset A+B has size at most Ks. We show that asymptotically almost surely A and B are almost fully contained in arithmetic progressions PA ... -
Bernstein-Sato polynomials in commutative algebra
(Springer Nature, 2022-02-23)
Part of book or chapter of book
Restricted access - publisher's policyThis is an expository survey on the theory of Bernstein-Sato polynomials with special emphasis in its recent developments and its importance in commutative algebra -
Exploring datasets to solve partial differential equations with TensorFlow
(Springer, 2020-08-29)
Part of book or chapter of book
Open AccessThis paper proposes a way of approximating the solution of partial differential equations (PDE) using Deep Neural Networks (DNN) based on Keras and TensorFlow, that is capable of running on a conventional laptop, which is ... -
Impacto del Covid-19 en la enseñanza de Expressió Gràfica
(OmniaScience, 2022-02-01)
Part of book or chapter of book
Open AccessLa situación actual derivada de la crisis del COVID-19 está generando desafíos sin precedentes en toda la comunidad educativa, aunque las instituciones de educación superior han demostrado su capacidad para adaptarse muy ... -
The expected number of perfect matchings in cubic planar graphs
(Birkhäuser, 2021-09-01)
Part of book or chapter of book
Restricted access - publisher's policyA well-known conjecture by Lovász and Plummer from the 1970s asserting that a bridgeless cubic graph has exponentially many perfect matchings was solved in the affirmative by Esperet et al. (Adv. Math. 2011). On the other ... -
Numbers: Natural numbers, principle of induction and complex numbers
(Fundació per a la Universitat Oberta de Catalunya, 2021-09)
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Geometric transformations: Translation, rotation and scaling
(Universitat Oberta de Catalunya, 2021-09)
Part of book or chapter of book
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When is a complete ideal in a rational surface singularity a multiplier ideal?
(Springer-Birkhäuser, 2021)
Part of book or chapter of book
Restricted access - publisher's policyThis is an extended abstract with some of the results that will appear in the forthcoming paper [1] in which we characterize when a given complete ideal in a two-dimensional local ring with a rational singularity can be ... -
Developable surfaces with prescribed boundary
(Springer-Birkhäuser, 2021)
Part of book or chapter of book
Open AccessIt is proved that a generic simple, closed, piecewise regular curve in space can be the boundary of only infinitely many developable surfaces with nonvanishing mean curvature. The relevance of this result in the context ... -
Assessment of exams at Atenea, an IMS LTI application for scalability problems
(Book Publisher International, 2021-12-22)
Part of book or chapter of book
Restricted access - publisher's policyThe online teaching support platform was changed by the Universitat Politècnica de Catalunya in 2004. Moodle, an open source software, was used in place of the prior proprietary software. The population's confinement at ... -
Rank conditions on phylogenetic networks
(Birkhäuser, 2021)
Part of book or chapter of book
Restricted access - publisher's policyLess rigid than phylogenetic trees, phylogenetic networks allow the description of a wider range of evolutionary events. In this note, we explain how to extend the rank invariants from phylogenetic trees to phylogenetic ... -
Reeb embeddings and universality of Euler flows
(Springer, 2021)
Part of book or chapter of book
Open AccessWe use a new geometrical approach to the universality of Euler flows. By proving flexibility results on embeddings for Reeb flows in contact topology, we deduce some new universal properties for Euler flows. As a byproduct, ...
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