On the total curvature and extrinsic area growth of surfaces with tamed second fundamental form

In this paper we show that a complete and non-compact surface immersed in the Euclidean space with quadratic extrinsic area growth has finite total curvature provided the surface has tamed second fundamental form and admits total curvature. In such a case we obtain as well a generalized Chern-Osserman inequality. In the particular case of a surface of nonnegative curvature, we prove that the surface is diffeomorphic to the Euclidean plane if the surface has tamed second fundamental form, and that the surface is isometric to the Euclidean plane if the surface has strongly tamed second fundamental form. In the last part of the paper we characterize the fundamental tone of any submanifold of tamed second fundamental form immersed in an ambient space with a pole and quadratic decay of the radial sectional curvatures.Comment: 19 pages. Title changed and several improvement of the main theorems are done. arXiv admin note: text overlap with arXiv:0805.0323 by other author

Combined release of platelet-rich plasma and 3D-mesenchymal stem cell encapsulation in alginate hydrogels modified by the presence of silica

We report the modified release of platelet-rich plasma from alginate platelet-rich plasma hydrogels altered by the presence of silica. These PRP–alginate–silica compositions can be used as injectable carriers for viable mesenchymal stem cells

Los tribunales administrativos especiales de contratación pública ante las previsiones del informe de la Comisión para la Reforma de las Administraciones Públicas. Balance y prospectiva

Se aborda en este estudio la función de los órganos de recursos contractuales para la resolución de los recursos especiales. Se analiza la eficacia desde su funcionamiento y se postula la consolidación del modelo como herramienta efectiva de control y garantía del derecho a una buena Administración.This paper examines the operation of the courts handling appeals on contractual matters within the domain of special appeals. It analyzes their effectiveness and recommends the consolidation of the model as an effective tool to oversee and guarantee the right to good governance.En aquest estudi s'aborda la funció dels òrgans de recursos contractuals per a la resolució dels recursos especials. S'analitza l'eficàcia del seu funcionament i es postula la consolidació del model com a eina efectiva de control i garantia del dret a una bona Administració

Fault-tolerance thresholds for the surface code with fabrication errors

The construction of topological error correction codes requires the ability to fabricate a lattice of physical qubits embedded on a manifold with a non-trivial topology such that the quantum information is encoded in the global degrees of freedom (i.e. the topology) of the manifold. However, the manufacturing of large-scale topological devices will undoubtedly suffer from fabrication errors---permanent faulty components such as missing physical qubits or failed entangling gates---introducing permanent defects into the topology of the lattice and hence significantly reducing the distance of the code and the quality of the encoded logical qubits. In this work we investigate how fabrication errors affect the performance of topological codes, using the surface code as the testbed. A known approach to mitigate defective lattices involves the use of primitive SWAP gates in a long sequence of syndrome extraction circuits. Instead, we show that in the presence of fabrication errors the syndrome can be determined using the supercheck operator approach and the outcome of the defective gauge stabilizer generators without any additional computational overhead or the use of SWAP gates. We report numerical fault-tolerance thresholds in the presence of both qubit fabrication and gate fabrication errors using a circuit-based noise model and the minimum-weight perfect matching decoder. Our numerical analysis is most applicable to 2D chip-based technologies, but the techniques presented here can be readily extended to other topological architectures. We find that in the presence of 8% qubit fabrication errors, the surface code can still tolerate a computational error rate of up to 0.1%.Comment: 10 pages, 15 figure

Notes d'un paleògraf a propòsit del matritensis 9750 de la Biblioteca Nacional (Curial e Güelfa)

The thesis of Jaume Riera i Sans (1991), pretending that the text of the novel Curial e Giielfa contained in this ms. of Madrid's national Library was a modern forgery, kindled a lively controversy. After a thorough study of the handwriting, with special reference to the capital letters, Prof. Gimeno's reaches the conclusion that without the slighest possible doubt this ms. was written during the xvth century

El manuscrit II-3096 (olim 2.L1.1) de la Biblioteca del Palacio Real

The author proposes a reconstruction of the structure of this manuscript, made up by the factitious union of two miscellaneous volumes. The manuscript was already described by Massó i Torrents, Round, Blüher, Jorgensen Concheff and Martínez Romero

Un diario original desconocido del Compromiso de Caspe en la Universidad de Valencia

Noticia en torno al Manuscrito n. 40 de la Biblioteca Histórica de la Universidad de Valencia que da cuenta de las deliberaciones realizadas en el Compromiso de Caspe, 1412, y de su estudio codicológico. (A