Dependencies in Formal Mathematics: Applications and Extraction for Coq and Mizar

Two methods for extracting detailed formal dependencies from the Coq and Mizar system are presented and compared. The methods are used for dependency extraction from two large mathematical repositories: the Coq Repository at Nijmegen and the Mizar Mathematical Library. Several applications of the detailed dependency analysis are described and proposed. Motivated by the different applications, we discuss the various kinds of dependencies that we are interested in,and the suitability of various dependency extraction methods

Selecting FRET pairs for visualizing amyloid aggregation

This work was supported by grant CTQ2017–85658-R funded by MCIN/AEI/10.13039/501100011033/FEDER “Una manera de hacer Europa” and grants PID2019–104366RB-C22 and PID2020–114256RBI00 funded by MCIN/AEI/10.13039/ 501100011033. A.R.-A. thanks the Spanish Ministerio de Educación y Formación Profesional for an FPU Ph.D. studentship.In a recent work, we reported a methodology for imaging the different stages of amyloid aggregation in quantitative multiparametric dual-color fluorescence lifetime imaging (FLIM) and superresolution microscopy by using a pair of dyes capable of binding aggregates and undergoing subsequent intra-aggregate energy transfer (FRET) (RuizArias et al. Sensors Actuat. B, 2022, 350:130882). In this microarticle we present the optimization process for choosing the best pair of dyes through a screening of different naphthalimides and quinolimides and other known amyloid-binding dyes.Spanish Ministerio de Educación y FormaciónGrant CTQ2017–85658-R funded by MCIN/AEI/10.13039/501100011033/FEDER “Una manera de hacer Europa”Grants PID2019–104366RB-C22 and PID2020–114256RBI00 funded by MCIN/AEI/10.13039/ 50110001103

Thermodynamic meaning of the index of γ-entropy

AbstractWe provide a thermodynamic meaning of the index of the γ-entropy, which is a non-additive information measure devised in 1970s and is less known to physics. It is intimately related to the free energy as was previously shown for the Rényi entropy, which is extensive (additive), where the entropic index has an interpretation of the ratio of different temperatures. We conclude that this picture holds true for other generalized entropies irrespective of their nonextensivity

Elsevier’s approach to Open Access and latest developments

Comunicación presentada al XIV Workshop Rebiun de Poyectos Digitales / VI Jornadas OS-Repositorios (Córdoba, 11-13 de marzo de 2015

HRXRD study of the effect of a nanoporous silicon layer on the epitaxial growth quality of GaN layer on the templates of SiC/por-Si/c-Si

Using High Resolution X-ray Diffraction (HRXRD) diagnostic techniques the influence of the transition layer of nanoporous silicon on the practical implementation and certain features of the epitaxial growth of GaN layers with the use of molecular beam epitaxy were investigated by means of plasma activation of nitrogen (MBE PA) on the templates of SiC/por-Si/c-Si. For the first time it was shown that introducing of the transition layer of nanoporous silicon in the template of SiC/por-Si/c-Si where the layer of 3C-SiC was obtained by substitution of the atoms had a number of indisputable advantages as compared with conventional silicon substrates. Particularly, such an approach, in fact, enabled a 90% reduction in the level of stresses in the crystalline lattice of the epitaxial GaN layer which was synthesized on SiC surface of SiC/por-Si/c-Si template by means of MBE PA technique as well as to decrease some of vertical dislocations within GaN layer

Eliciting implicit assumptions of proofs in the MIZAR Mathematical Library by property omission

When formalizing proofs with interactive theorem provers, it often happens that extra background knowledge (declarative or procedural) about mathematical concepts is employed without the formalizer explicitly invoking it, to help the formalizer focus on the relevant details of the proof. In the contexts of producing and studying a formalized mathematical argument, such mechanisms are clearly valuable. But we may not always wish to suppress background knowledge. For certain purposes, it is important to know, as far as possible, precisely what background knowledge was implicitly employed in a formal proof. In this note we describe an experiment conducted on the MIZAR Mathematical Library of formal mathematical proofs to elicit one such class of implicitly employed background knowledge: properties of functions and relations (e.g., commutativity, asymmetry, etc.).Comment: 11 pages, 3 tables. Preliminary version presented at the 3rd Workshop on Modules and Libraries for Proof Assistants (MLPA-11), affiliated with the 2nd Conference on Interactive Theorem Proving (ITP-2011), Nijmegen, the Netherland

3D sound wave focusing by 2D internal periodic structure of 3D external cuboid shape

[EN] In this work, we report the focusing effect of a 2D sonic crystal cuboid. The proposed sonic composite lens is vertically extended from a 2-D flat Phononic Crystal Structure, but it is found to be able to focus waves in a three-dimensional manner. By varying the cuboid size, beam dimensions change and transverse beam width values smaller than the classical diffraction limit (~0.3 of wavelength) can be obtained. Numerical results have been obtained by Finite Element Method.This work has been supported by RTI2018-100792-B-I00 (MICINN) and was partially carried out within the framework of the Tomsk Polytechnic University Competitiveness Enhancement Program. D. T.-S. acknowledges financial support from Ministerio de Ciencia, Innovación y Universidades de España through grant BES-2016-077133.Castiñeira Ibáñez, S.; Tarrazó-Serrano, D.; Candelas Valiente, P.; Minin, OV.; Rubio Michavila, C.; Minin, IV. (2019). 3D sound wave focusing by 2D internal periodic structure of 3D external cuboid shape. Results in Physics. 15:102582-1-102582-4. https://doi.org/10.1016/j.rinp.2019.102582S102582-1102582-41

Elsevier's approach to Open Access and latest developments

Comunicación presentada en la Jornada “La apuesta por el acceso abierto en la Universidad de Extremadura” organizada por el Servicio de Bibliotecas en Cáceres, el 22 de octubre, con motivo de la Semana Internacional del Acceso Abierto (del 20 al 26 de octubre de 2014