A Reformulation of Matrix Graph Grammars with Boolean Complexes

Prior publication in the Electronic Journal of Combinatorics.Graph transformation is concerned with the manipulation of graphs by means of rules. Graph grammars have been traditionally studied using techniques from category theory. In previous works, we introduced Matrix Graph Grammars (MGG) as a purely algebraic approach for the study of graph dynamics, based on the representation of simple graphs by means of their adjacency matrices. The observation that, in addition to positive information, a rule implicitly defines negative conditions for its application (edges cannot become dangling, and cannot be added twice as we work with simple digraphs) has led to a representation of graphs as two matrices encoding positive and negative information. Using this representation, we have reformulated the main concepts in MGGs, while we have introduced other new ideas. In particular, we present (i) a new formulation of productions together with an abstraction of them (so called swaps), (ii) the notion of coherence, which checks whether a production sequence can be potentially applied, (iii) the minimal graph enabling the applicability of a sequence, and (iv) the conditions for compatibility of sequences (lack of dangling edges) and G-congruence (whether two sequences have the same minimal initial graph).This work has been partially sponsored by the Spanish Ministry of Science and Innovation, project METEORIC (TIN2008-02081/TIN)

El insight emocional. Análisis de las campañas navideñas de Campofrío

El presente Trabajo de Fin de Grado aborda el concepto insight desde el punto de vista de la emoción y su uso como herramienta de diferenciación con centro en los consumidores. Todo ello ilustrado con el análisis descriptivo de las Campañas de Navidad de la marca Campofrío.Departamento de Historia Moderna, Contemporánea y de América, Periodismo y Comunicación Audiovisual y PublicidadGrado en Publicidad y Relaciones Pública

Exile on Main Street. The Desert as Internalising Territory

The desert has traditionally been considered as background. For the history of Modern architecture it forms a backdrop, a place in which to contemplate the metropolis from without. The architect withdraws to the desert escaping the metropolis. Moving away from the understanding of the desert as ‘exterior’, the thesis postulates the possibility of understanding it as ‘threshold’, a space that mediates the relationships of the metropolis with its exteriors. Revisiting the journeys of characters like Maxime du Camp, Gustave Flaubert, Le Corbusier, Raymond Roussel, Michel Leiris, Aldo van Eyck or Herman Haan, a different conception of the desert is generated: one in which the landscape is not relegated to the background but actively engages with the figure, highlighting moments of transition—of difference and identity, past and present, inside and outside, inclusion and exclusion. Questions that have become to the fore in contemporary post-colonial discussions. In that movement, a main historical process is focused: the desert has been utilised as mechanism of internalisation. With internalisation I point to the historical process through which the modern city appropriates or absorbs within it what was excluded or defined as its outside. I look at this process particularly in the case of the modern metropolis. In this case, three main steps describe the mechanism of internalisation. First, there’s a definition of the self over a background of the other. The modern metropolis is not that much defined by its own extremely heterogeneous identity. In a more legible way, the metropolis is defined by via negativa, by setting out what the metropolis is not. In a second step, the ‘exterior’ –‘that what the metropolis-is-not’ – starts to be defined as something specific. It is not, then, an ever-expanding backdrop; but rather a bounded area within the background. It is the moment highlighted by the travellers setting out from the metropolis. Their fascination is with something specific – the categories of the exotic, the irrational, the primitive, etc. A fascination that is a reaction to the situation back home. The trouble with these ‘findings’, these exteriors, is precisely in that; they are highly entangled with the condition they were fleeing from – even if it is in a reverse way. In the final step, that category is imported back into the metropolis. While originally intended as exteriors, spaces of critique vis-à-vis the metropolis, the categories paradoxically make their way back into the metropolis, into spaces that collect, contain and, overall, put a boundary around their experiences. In this paradoxical movement, the process of internalisation is a peculiar mechanism with which the metropolis moves forward: capturing exteriors, appropriating or absorbing within what was originally excluded. The thesis is organised as a journey, following the steps of specific travellers. Each chapter deals with one particular character travelling at one particular time. These are organised in three clusters each of which deals with one specific category that was crucial for Colonialism, and that has been highlighted by post-colonial critique—identity, vision and knowledge. For these categories, I would argue, the desert supposed bringing the colonial enterprise to its limits. The desert supposed a locus in which colonialism was not unfolding as power struggle; quite the opposite, it was precisely these ‘being-out- of-control’ that became a different form of colonial appropriation. A territory that absorbs ‘median categories’ – as Edward Said sees them – not completely familiar, not completely alien. In that sense, the desert poses a relevant question to the contemporary fascination with the exteriors of Modernity. The desert remits to Bhabha’s Third Space of enunciation, a crucial area for post-colonial studies as it is where that negotiation between cultures takes place. There, Bhabha sees the potential to overcome colonial cultural appropriations into a hybrid encounter. As Bhabha proposes, “(f)or a willingness to descend into that alien territory(...) may reveal that the theoretical recognition of the split-space of enunciation may open the way to conceptualizing an international culture, based not on the exoticism of multiculturalism or the diversity of cultures, but on the inscription and articulation of culture’s hybridity. (…) It makes it possible to begin envisaging national, anti- nationalist histories of the ‘people’. And by exploring this Third Space, we may elude the politics of polarity and emerge as the others of our selves.” (The Location of Culture, p. 38-39) While it is still a possible fruitful terrain for contemporary cultural encounters, and a crucial quest that should continue, revisiting the stories of these characters in the desert pose the risk of the Third Space of enunciation becoming a space for internalisation rather than Bhabha’s internationalisation

En torno a la exposición “Naturalezas Ilustradas. La Colección Van Berkhey del Museo Nacional de Ciencias Naturales” que se celebra en el MNCN.CSIC

Sección: La RedLa conocida como colección Van Berkhey, que se custodia en el Archivo del Museo Nacional de Ciencias Naturales, fue comprada por la Corona en 1785: un rey a quién le gustaba la Ciencia (https://www.museodelprado.es/coleccion/galeria-on-line/galeria-on-line/obra/carlos-iii-nino/), un Secretario de Estado y del Despacho que deseaba ilustrar a la sociedad española, un Cónsul de España en Ámsterdam polifacético y un Director de uno de los mejores Gabinetes de Historia Natural, se comprometieron en la tarea de adquirir la colección de Historia Natural del médico neerlandés Johannes Le Francq van Berkhey, una de las más famosas de Europa en su época.N

Suavidad, convexidad, dualidad y renormamientos

The goal of this Bachelor thesis is to study some specifical geometric properties, which are related to the convexity and smoothness of Banach spaces. More precisely we will go over the definitions of strict convexity, uniform convexity, smoothness and uniform smoothness. We will study some duality relationships between strict convexity and smoothness, namely that the strict convexity (smoothness) of the dual norm implies the smoothness (strict convexity) of the norm. We show an example proving that the converse of this duality results do not hold. However, we will prove that there is a complete duality relationship between uniform convexity and uniform smoothness through Lindenstrauss’ formula. With regard to renorming theory, it will be also showed that every separable space can be renormed in order to be strictly convex. We will go also over Enflo’s Theorem: a space is superreflexive if and only if it admits an uniform convex renorming. In the last chapter we improve the above results. In fact, almost all renormings of a separable space are strictly convex and almost all renomings of a superreflexive space are uniformly convex.Universidad de Sevilla. Grado en Matemática

Sobre las relaciones entre la armonía, elaconocimiento y la pefección en los textos de G. W Leibniz, filósofo.

Sin resume

La demostración de un absurdo

19351935 (N43).Appartient à l’ensemble documentaire : NordPdeC

Tras las huellas de Sileno. Imágenes del conocer

The purpose of this paper is to appeal, even though quite shortly, to sorne of the problematic dimensions involved in a cognitive capacity certainly enigmatic: the power of remaking the stream of experience, concluding, not only causes from effects, but also relevant facts from their signs. This capacity may be found in the basis of the most primary possibility of finding one's way in the world, being thus the support of a development in reality to which philosophical reflection has paid much attention in different ways. It has been Charles Sanders Peirce's excellence which made us know that this mechanism of knowledge responds to a rational pattem: the first step of every investigation, the abductive form of inference, that is one's own adoption to an interpretative hypothesis about facts. It is quite clear that the matter we here dealt with, is the relationship what is perceptible and what is intelligible, taking into account all the meaning of those words