The quantum H3H_3 integrable system

The quantum $H_3$ integrable system is a 3D system with rational potential related to the non-crystallographic root system $H_3$. It is shown that the gauge-rotated $H_3$ Hamiltonian as well as one of the integrals, when written in terms of the invariants of the Coxeter group $H_3$, is in algebraic form: it has polynomial coefficients in front of derivatives. The Hamiltonian has infinitely-many finite-dimensional invariant subspaces in polynomials, they form the infinite flag with the characteristic vector \vec \al\ =\ (1,2,3). One among possible integrals is found (of the second order) as well as its algebraic form. A hidden algebra of the $H_3$ Hamiltonian is determined. It is an infinite-dimensional, finitely-generated algebra of differential operators possessing finite-dimensional representations characterized by a generalized Gauss decomposition property. A quasi-exactly-solvable integrable generalization of the model is obtained. A discrete integrable model on the uniform lattice in a space of $H_3$-invariants "polynomially"-isospectral to the quantum $H_3$ model is defined.Comment: 32 pages, 3 figure

A comparison of BPMN 2.0 with other notations for manufacturing processes

In order to study their current practices and improve on them, manufacturing firms need to view their processes from several viewpoints at various abstraction levels. Several notations have been developed for this purpose, such as Value Stream Mappings or IDEF models. More recently, the BPMN 2.0 standard from the Object Management Group has been proposed for modeling business processes. A process organizes several activities (manual or automatic) into a single higher-level entity, which can be reused elsewhere in the organization. Its potential for standardizing business interactions is well-known, but there is little work on using BPMN 2.0 to model manufacturing processes. In this work some of the previous notations are outlined and BPMN 2.0 is positioned among them after discussing it in more depth. Some guidelines on using BPMN 2.0 for manufacturing are offered, and its advantages and disadvantages in comparison with the other notations are presented

On the effect of operating conditions in liquid-feed direct methanol fuel cells: A multiphysics modeling approach

A multiphysics model for liquid-feed Direct Methanol Fuel Cells is presented. The model accounts for two-dimensional (2D) across-the-channel anisotropic mass and charge transport in the anode and cathode Gas Diffusion Layers (GDLs), including the effect of GDL assembly compression and electrical contact resistances at the Bipolar Plate (BPP) and membrane interfaces. A one-dimensional (1D) across-the-membrane model is used to describe local species diffusion through the microporous layers, methanol/water crossover, proton transport, and electrochemical reactions, thereby coupling both GDL sub-models. The 2D/1D model is extended to the third dimension and supplemented with 1D descriptions of the flow channels to yield a 3D/1D + 1D model that is successfully validated. A parametric study is then conducted on the 2D/1D model to examine the effect of operating conditions on cell performance. The results show that an optimum methanol concentration exists that maximizes power output due to the trade-off between anode polarization and cathode mixed overpotential. For fixed methanol concentration, cell performance is largely affected by the oxygen supply rate, cell temperature, and liquid/gas saturation levels. There is also an optimal GDL compression due to the trade-off between ohmic and concentration losses, which strongly depends on BPP material and, more weakly, on the actual operating conditions.This work was supported by Projects ENE2011-24574 and ENE2015-68703-C2-1-R of the Spanish Ministerio de Economía y Competitividad

Creación de un treebank de dependencias universales mediante recursos existentes para lenguas próximas: el caso del gallego

[Resumen] En este trabajo presentamos una nueva estrategia para crear treebanks de lenguas con pocos recursos para el análisis sintáctico. El método consiste en la adaptación y combinación de diferentes treebanks anotados con dependencias universales de variedades lingüísticas próximas, con el objetivo de entrenar un analizador sintáctico para la lengua elegida, en nuestro caso el gallego. Durante el proceso de selección y adaptación de los treebanks de origen, analizamos el impacto de propiedades de tres niveles diferentes: (i) la distancia entre las lenguas de origen y destino, (ii) la adaptación de características léxico-ortográficas, y (iii) las directrices de anotación entre los treebanks. Usando la estrategia propuesta, entrenamos un analizador sintáctico estadístico para etiquetar, con resultados prometedores y sin datos previos de gallego, un pequeño corpus de esta lengua. La corrección manual de este corpus, usado como gold-standard, nos permitió probar la eficacia del método propuesto.Ministerio de Economía y Competitividad; FFI2014-51978-C2-1-RMinisterio de Economía y Competitividad; FJCI-2014-22853Ministerio de Economía y Competitividad; FFI2014-51978-C2-2-

New Treebank or Repurposed? On the Feasibility of Cross-Lingual Parsing of Romance Languages with Universal Dependencies

This is the final peer-reviewed manuscript that was accepted for publication in Natural Language Engineering. Changes resulting from the publishing process, such as editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document.[Abstract] This paper addresses the feasibility of cross-lingual parsing with Universal Dependencies (UD) between Romance languages, analyzing its performance when compared to the use of manually annotated resources of the target languages. Several experiments take into account factors such as the lexical distance between the source and target varieties, the impact of delexicalization, the combination of different source treebanks or the adaptation of resources to the target language, among others. The results of these evaluations show that the direct application of a parser from one Romance language to another reaches similar labeled attachment score (LAS) values to those obtained with a manual annotation of about 3,000 tokens in the target language, and unlabeled attachment score (UAS) results equivalent to the use of around 7,000 tokens, depending on the case. These numbers can noticeably increase by performing a focused selection of the source treebanks. Furthermore, the removal of the words in the training corpus (delexicalization) is not useful in most cases of cross-lingual parsing of Romance languages. The lessons learned with the performed experiments were used to build a new UD treebank for Galician, with 1,000 sentences manually corrected after an automatic cross-lingual annotation. Several evaluations in this new resource show that a cross-lingual parser built with the best combination and adaptation of the source treebanks performs better (77 percent LAS and 82 percent UAS) than using more than 16,000 (for LAS results) and more than 20,000 (UAS) manually labeled tokens of Galician.Ministerio de Economía y Competitividad; FJCI-2014-22853Ministerio de Economía y Competitividad; FFI2014-51978-C2-1-RMinisterio de Economía y Competitividad; FFI2014-51978-C2-2-

A non-perturbative approach to the scalar Casimir effect with Lorentz symmetry violation

We determine the effect of Lorentz invariance violation in the vacuum energy and stress between two parallel plates separated by a distance $L$, in the presence of a massive real scalar field. We parametrize the Lorentz-violation in terms of a symmetric tensor $h^{\,\mu\nu}$ that represents a constant background. Through the Green's function method, we obtain the global Casimir energy, the Casimir force between the plates and the energy density in a closed analytical form without resorting to perturbative methods. With regards to the pressure, we find that $\mathcal{F}_c(L)=\mathcal{F}_0(\tilde{L})/\sqrt{-{\rm det}\, h^{\,\mu\nu}}$, where $\mathcal{F}_0$ is the Lorentz-invariant expression, and $\tilde{L}$ is the plate separation rescaled by the component of $h^{\,\mu\nu}$ normal to the plates, $\tilde{L}=L/\sqrt{-h^{nn}}$. We also analyze the Casimir stress including finite-temperature corrections. The local behavior of the Casimir energy density is also discussed.Comment: 6 pages, No figure