Scaling of entanglement between separated blocks in spin chains at criticality

We compute the entanglement between separated blocks in certain spin models showing that at criticality this entanglement is a function of the ratio of the separation to the length of the blocks and can be written as a product of a power law and an exponential decay. It thereby interpolates between the entanglement of individual spins and blocks of spins. It captures features of correlation functions at criticality as well as the monogamous nature of entanglement. We exemplify invariant features of this entanglement to microscopic changes within the same universality class. We find this entanglement to be invariant with respect to simultaneous scale transformations of the separation and the length of the blocks. As a corollary, this study estimates the entanglement between separated regions of those quantum fields to which the considered spin models map at criticality.Comment: 4 pages, 3 figures; comments welcom

Sobre funciones convexas, casi-convexas y pseudo-convexas

In this paper, the basic properties of the convex functions are discussed, such as continuity, directional differentiability, and supportability properties. Also the relations with the quasi-convex, and pseudo-convex functiona are given. Both weaker and stronger forma of convexity are also given

Systematic review on R&D&I aid in Spain

Purpose: To analyse the scientific production around public R&D&I funds in Spain, in a context inwhich policies to promote innovation and development are considered essential for the progress ofdeveloped countries and receive significant amounts of the public budget. Design/methodology: Systematic review of all the scientific contributions collected in the Web ofScience Core Collection, Scopus and Proquest until March 2021, in which mention is made of R&D&Igrants in Spain.Findings: Scientific production indicates the positive impact of R&D&I aid on employment, privateinvestment and cooperation. The list of topics which academic research deals with in this sense is,however, limited. Thus, aspects are identified in which there is still not enough scientific evidence, suchas the effect of aid on the production of patents and utility models or the dissemination of thesupported projects.Research limitations/implications: The analysed data is limited to the Web of Science CoreCollection, Scopus and Proquest. Gray literature is not analysed.Originality/value: It is a study that can be useful to define future support policies for R&D&I aimed atcompaniesPeer Reviewe

Optimal Filling of Shapes

We present filling as a type of spatial subdivision problem similar to covering and packing. Filling addresses the optimal placement of overlapping objects lying entirely inside an arbitrary shape so as to cover the most interior volume. In n-dimensional space, if the objects are polydisperse n-balls, we show that solutions correspond to sets of maximal n-balls. For polygons, we provide a heuristic for finding solutions of maximal discs. We consider the properties of ideal distributions of N discs as N approaches infinity. We note an analogy with energy landscapes.Comment: 5 page

AER Neuro-Inspired interface to Anthropomorphic Robotic Hand

Address-Event-Representation (AER) is a communication protocol for transferring asynchronous events between VLSI chips, originally developed for neuro-inspired processing systems (for example, image processing). Such systems may consist of a complicated hierarchical structure with many chips that transmit data among them in real time, while performing some processing (for example, convolutions). The information transmitted is a sequence of spikes coded using high speed digital buses. These multi-layer and multi-chip AER systems perform actually not only image processing, but also audio processing, filtering, learning, locomotion, etc. This paper present an AER interface for controlling an anthropomorphic robotic hand with a neuro-inspired system.Unión Europea IST-2001-34124 (CAVIAR)Ministerio de Ciencia y Tecnología TIC-2003-08164-C03-02Ministerio de Ciencia y Tecnología TIC2000-0406-P4- 0

Product placement analysis in three Netflix original series

La publicidad ha encontrado un obstáculo con la proliferación de plataformas como Netflix y esto ha provocado el impulso del emplazamiento de producto. Mediante un análisis de contenido, este estudio exploratorio examina el uso del emplazamiento de producto en tres series originales de Netflix, para comprender cómo se comporta en esta plataforma. Los resultados indican que se trata de una fórmula asentada, pero que el tipo de emplazamiento o el número de marcas están determinados por la trama. Igualmente, que la audiencia no se restrinja a un país concreto parece favorecer la presencia de marcas globales.Advertising has encountered an obstacle with the proliferation of platforms like Netflix and this has sparked a boost in product placement. Through a content analysis, this exploratory study examines the use of product placement in three of Netflix’s original series, to understand how it behaves on this platform. The results indicate that it is a settled formula, but that the type of location or the number of marks is determined by the plot. Likewise, the fact that the audience is not restricted to a specific country seems to favor the presence of global brands