881 resultados para Sarkovskii ordering


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A flowchart approach to industrial cluster policy emphasizes the importance ofthe ordering of policy measures. The flow of policy implementation is to establish an industrial zone, to invite an anchor company, and to promote its related companies to invest in the industrial zone. This article delineated "a flowchart approach to industrial cluster policy" by proposing sufficient conditions for forming industrial clusters typical in the manufacturing industry in Asia to enhance regional economic growth. The typical industrial cluster policy was theorized by defining an industrial zone as "quasi-public goods", and it was shown that the policy enhances economic growth under a production function of "increasing returns to scale" of an anchor company. Critical amounts of the production of "scale economies" that are used by the related companies to decide whether or not to invest in clusters were also shown.

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Facilitating general access to data from sensor networks (including traffic, hydrology and other domains) increases their utility. In this paper we argue that the journalistic metaphor can be effectively used to automatically generate multimedia presentations that help non-expert users analyze and understand sensor data. The journalistic layout and style are familiar to most users. Furthermore, the journalistic approach of ordering information from most general to most specific helps users obtain a high-level understanding while providing them the freedom to choose the depth of analysis to which they want to go. We describe the general characteristics and architectural requirements for an interactive intelligent user interface for exploring sensor data that uses the journalistic metaphor. We also describe our experience in developing this interface in real-world domains (e.g., hydrology).

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The province of Salta is located the Northwest of Argentina in the border with Bolivia, Chile and Paraguay. Its Capital is the city of Salta that concentrates half of the inhabitants of the province and has grown to 600000 hab., from a small active Spanish town well founded in 1583. The city is crossed by the Arenales River descending from close mountains at North, source of water and end of sewers. But with actual growing it has become a focus of infection and of remarkable unhealthiness. It is necessary to undertake a plan for the recovery of the river, directed to the attainment of the well-being and to improve the life?s quality of the Community. The fundamental idea of the plan is to obtain an ordering of the river basin and an integral management of the channel and its surroundings, including the cleaning out. The improvement of the water?s quality, the healthiness of the surroundings and the improvement of the environment, must go hand by hand with the development of sport activities, of relaxation, tourism, establishment of breeding grounds, kitchen gardens, micro enterprises with clean production and other actions that contribute to their benefit by the society, that being a basic factor for their care and sustainable use. The present pollution is organic, chemical, industrial, domestic, due to the disposition of sweepings and sewer effluents that affects not only the flora and small fauna, destroying the biodiversity, but also to the health of people living in their margins. Within the plan it will be necessary to consider, besides hydric and environmental cleaning and the prevention of floods, the planning of the extraction of aggregates, the infrastructure and consolidation of margins works and the arrangement of all the river basin. It will be necessary to consider the public intervention at state, provincial and local level, and the private intervention. In the model it has been necessary to include the sub-model corresponding to the election of the entity to be the optimal instrument to reach the proposed objectives, giving an answer to the social, environmental and economic requirements. For that the authors have used multi-criteria decision methods to qualify and select alternatives, and for the programming of their implementation. In the model the authors have contemplated the short, average and long term actions. They conform a Paretooptimal alternative which secures the ordering, integral and suitable management of the basin of the Arenales River, focusing on its passage by the city of Salta.

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Memory analysis techniques have become sophisticated enough to model, with a high degree of accuracy, the manipulation of simple memory structures (finite structures, single/double linked lists and trees). However, modern programming languages provide extensive library support including a wide range of generic collection objects that make use of complex internal data structures. While these data structures ensure that the collections are efficient, often these representations cannot be effectively modeled by existing methods (either due to excessive analysis runtime or due to the inability to represent the required information). This paper presents a method to represent collections using an abstraction of their semantics. The construction of the abstract semantics for the collection objects is done in a manner that allows individual elements in the collections to be identified. Our construction also supports iterators over the collections and is able to model the position of the iterators with respect to the elements in the collection. By ordering the contents of the collection based on the iterator position, the model can represent a notion of progress when iteratively manipulating the contents of a collection. These features allow strong updates to the individual elements in the collection as well as strong updates over the collections themselves.

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Dynamic scheduling increases the expressive power of logic programming languages, but also introduces some overhead. In this paper we present two classes of program transformations designed to reduce this additional overhead, while preserving the operational semantics of the original programs, modulo ordering of literals woken at the same time. The first class of transformations simplifies the delay conditions while the second class moves delayed literals later in the rule body. Application of the program transformations can be automated using information provided by compile-time analysis. We provide experimental results obtained from an implementation of the proposed techniques using the CIAO prototype compiler. Our results show that the techniques can lead to substantial performance improvement.

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La inexistencia del premio Nobel en Matemáticas ha intrigado desde siempre a la comundiad científica y ha llevado a la creación de diversos permios que tratan de suplir su falta. En este artículo se analizan algunas de las causas que puideron llevar a Nobel a tomar su decisión: ¿Olvido? ¿Odio a las matemáticas? ¿No las consideraba importantes? ¿Rencores personales? Por supuesto, la verdad solamente la conoce Alfred Noel. Sin embargo, un análsis de su vida, su personalidad y sus relaciones personales arrojan lus sobre el asunto, de modo que, con probabilidad rayana en la certeza, la hipótesis más pausible es que la razón de ello fue el rencor.

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We demonstrate site-controlled growth of epitaxial Ag nanocrystals on patterned GaAs substrates by molecular beam epitaxy with high degree of long-range uniformity. The alignment is based on lithographically defined holes in which position controlled InAs quantum dots are grown. The Ag nanocrystals self-align preferentially on top of the InAs quantum dots. No such ordering is observed in the absence of InAs quantum dots, proving that the ordering is strain-driven. The presented technique facilitates the placement of active plasmonic nanostructures at arbitrarily defined positions enabling their integration into complex devices and plasmonic circuits.

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Concepts of lateral ordering of epitaxial semiconductor quantum dots (QDs) are for the first time transferred to hybrid nanostructures for active plasmonics. We review our recent research on the self-alignment of epitaxial nanocrystals of In and Ag on ordered one-dimensional In(Ga)As QD arrays and isolated QDs by molecular beam epitaxy. By changing the growth conditions the size and density of the metal nanocrystals are easily controlled and the surface plasmon resonance wavelength is tuned over a wide range in order to match the emission wavelength of the QDs. Photoluminescence measurements reveal large enhancement of the emitted light intensity due to plasmon enhanced emission and absorption down to the single QD level.

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Probabilistic modeling is the de�ning characteristic of estimation of distribution algorithms (EDAs) which determines their behavior and performance in optimization. Regularization is a well-known statistical technique used for obtaining an improved model by reducing the generalization error of estimation, especially in high-dimensional problems. `1-regularization is a type of this technique with the appealing variable selection property which results in sparse model estimations. In this thesis, we study the use of regularization techniques for model learning in EDAs. Several methods for regularized model estimation in continuous domains based on a Gaussian distribution assumption are presented, and analyzed from di�erent aspects when used for optimization in a high-dimensional setting, where the population size of EDA has a logarithmic scale with respect to the number of variables. The optimization results obtained for a number of continuous problems with an increasing number of variables show that the proposed EDA based on regularized model estimation performs a more robust optimization, and is able to achieve signi�cantly better results for larger dimensions than other Gaussian-based EDAs. We also propose a method for learning a marginally factorized Gaussian Markov random �eld model using regularization techniques and a clustering algorithm. The experimental results show notable optimization performance on continuous additively decomposable problems when using this model estimation method. Our study also covers multi-objective optimization and we propose joint probabilistic modeling of variables and objectives in EDAs based on Bayesian networks, speci�cally models inspired from multi-dimensional Bayesian network classi�ers. It is shown that with this approach to modeling, two new types of relationships are encoded in the estimated models in addition to the variable relationships captured in other EDAs: objectivevariable and objective-objective relationships. An extensive experimental study shows the e�ectiveness of this approach for multi- and many-objective optimization. With the proposed joint variable-objective modeling, in addition to the Pareto set approximation, the algorithm is also able to obtain an estimation of the multi-objective problem structure. Finally, the study of multi-objective optimization based on joint probabilistic modeling is extended to noisy domains, where the noise in objective values is represented by intervals. A new version of the Pareto dominance relation for ordering the solutions in these problems, namely �-degree Pareto dominance, is introduced and its properties are analyzed. We show that the ranking methods based on this dominance relation can result in competitive performance of EDAs with respect to the quality of the approximated Pareto sets. This dominance relation is then used together with a method for joint probabilistic modeling based on `1-regularization for multi-objective feature subset selection in classi�cation, where six di�erent measures of accuracy are considered as objectives with interval values. The individual assessment of the proposed joint probabilistic modeling and solution ranking methods on datasets with small-medium dimensionality, when using two di�erent Bayesian classi�ers, shows that comparable or better Pareto sets of feature subsets are approximated in comparison to standard methods.

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En esta Tesis se estudian las Imágenes Arquitectónicas que aparecen descritas en textos literarios de Ciencia Ficción dentro del periodo temporal que limitan los años 1.926 a 1.976. Consta de tres partes fundamentales: En la primera, se plantean las condiciones y objetivos del trabajo y se define el espacio conceptual que ocupa la Arquitectura descrita en Ciencia Ficción. En la segunda, se realizan análisis sobre las formas y temas arquitectónicos, así como de problemas relacionados con ellos que se encuentran en la narrativa fantacientífica, y se desarrollan ideas e hipótesis especulativas, sobre sugerencias referidas a situaciones reales o imaginarias, partiendo de posiciones implícitas en los relatos. En la tercera, se elabora una antología que data y ordena una amplia muestra de textos representativos. SUMMARY. This thesis studies the Architectural Images described in the Science Fiction stories between 1.926 and 1.976. It consist of three main parts: The first one, explains the conditions and objectives of this work and defines the conceptual space of Described Architecture in Science Fiction. The second one, analyses the architectural forms and items, as well as the problems related to the latter, that can be found in the scientific-fantastic narrative. It also develops ideas and speculative hipothesis about suggestions related to real and imaginary situations from implicit positions in the stories. The third one, builds up an anthology, dating and ordering a wide variety of representative excerpts of the S. F. texts o

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“Por lo tanto, la cristalización de polímeros se supone, y en las teorías se describe a menudo, como un proceso de múltiples pasos con muchos aspectos físico-químicos y estructurales influyendo en él. Debido a la propia estructura de la cadena, es fácil entender que un proceso que es termodinámicamente forzado a aumentar su ordenamiento local, se vea obstaculizado geométricamente y, por tanto, no puede conducirse a un estado de equilibrio final. Como resultado, se forman habitualmente estructuras de no equilibrio con diferentes características dependiendo de la temperatura, presión, cizallamiento y otros parámetros físico-químicos del sistema”. Estas palabras, pronunciadas recientemente por el profesor Bernhard Wunderlich, uno de los mas relevantes fisico-quimicos que han abordado en las ultimas décadas el estudio del estado físico de las macromoléculas, adelantan lo que de alguna manera se explicita en esta memoria y constituyen el “leitmotiv” de este trabajo de tesis. El mecanismo de la cristalización de polímeros esta aun bajo debate en la comunidad de la física de polímeros y la mayoría de los abordajes experimentales se explican a través de la teoría LH. Esta teoría clásica debida a Lauritzen y Hoffman (LH), y que es una generalización de la teoría de cristalización de una molécula pequeña desde la fase de vapor, describe satisfactoriamente muchas observaciones experimentales aunque esta lejos de explicar el complejo fenómeno de la cristalización de polímeros. De hecho, la formulación original de esta teoría en el National Bureau of Standards, a comienzos de la década de los 70, sufrió varias reformulaciones importantes a lo largo de la década de los 80, buscando su adaptación a los hallazgos experimentales. Así nació el régimen III de cristalización que posibilita la creacion de nichos moleculares en la superficie y que dio pie al paradigma ofrecido por Sadler y col., para justificar los experimentos que se obtenian por “scattering” de neutrones y otras técnicas como la técnica de “droplets” o enfriamiento rapido. Por encima de todo, el gran éxito de la teoría radica en que explica la dependencia inversa entre el tamaño del plegado molecular y el subenfriamiento, definido este ultimo como el intervalo de temperatura que media entre la temperatura de equilibrio y la temperatura de cristalización. El problema concreto que aborda esta tesis es el estudio de los procesos de ordenamiento de poliolefinas con distinto grado de ramificacion mediante simulaciones numéricas. Los copolimeros estudiados en esta tesis se consideran materiales modelo de gran homogeneidad molecular desde el punto de vista de la distribución de tamaños y de ramificaciones en la cadena polimérica. Se eligieron estas poliolefinas debido al gran interes experimental en conocer el cambio en las propiedades fisicas de los materiales dependiendo del tipo y cantidad de comonomero utilizado. Además, son modelos sobre los que existen una ingente cantidad de información experimental, que es algo que preocupa siempre al crear una realidad virtual como es la simulación. La experiencia en el grupo Biophym es que los resultados de simulación deben de tener siempre un correlato mas o menos próximo experimental y ese argumento se maneja a lo largo de esta memoria. Empíricamente, se conoce muy bien que las propiedades físicas de las poliolefinas, en suma dependen del tipo y de la cantidad de ramificaciones que presenta el material polimérico. Sin embargo, tal como se ha explicado no existen modelos teóricos adecuados que expliquen los mecanismos subyacentes de los efectos de las ramas. La memoria de este trabajo es amplia por la complejidad del tema. Se inicia con una extensa introducción sobre los conceptos básicos de una macromolecula que son relevantes para entender el contenido del resto de la memoria. Se definen los conceptos de macromolecula flexible, distribuciones y momentos, y su comportamiento en disolución y fundido con los correspondientes parametros caracteristicos. Se pone especial énfasis en el concepto de “entanglement” o enmaranamiento por considerarse clave a la hora de tratar macromoléculas con una longitud superior a la longitud critica de enmaranamiento. Finaliza esta introducción con una reseña sobre el estado del arte en la simulación de los procesos de cristalización. En un segundo capitulo del trabajo se expone detalladamente la metodología usada en cada grupo de casos. En el primer capitulo de resultados, se discuten los estudios de simulación en disolución diluida para sistemas lineales y ramificados de cadena única. Este caso mas simple depende claramente del potencial de torsión elegido tal como se discute a lo largo del texto. La formación de los núcleos “babys” propuestos por Muthukumar parece que son consecuencia del potencial de torsión, ya que este facilita los estados de torsión mas estables. Así que se propone el análisis de otros potenciales que son igualmente utilizados y los resultados obtenidos sobre la cristalización, discutidos en consecuencia. Seguidamente, en un segundo capitulo de resultados se estudian moleculas de alcanos de cadena larga lineales y ramificados en un fundido por simulaciones atomisticas como un modelo de polietileno. Los resultados atomisticos pese a ser de gran detalle no logran captar en su totalidad los efectos experimentales que se observan en los fundidos subenfriados en su etapa previa al estado ordenado. Por esta razon se discuten en los capítulos 3 y 4 de resultados sistemas de cadenas cortas y largas utilizando dos modelos de grano grueso (CG-PVA y CG-PE). El modelo CG-PE se desarrollo durante la tesis. El uso de modelos de grano grueso garantiza una mayor eficiencia computacional con respecto a los modelos atomísticos y son suficientes para mostrar los fenómenos a la escala relevante para la cristalización. En todos estos estudios mencionados se sigue la evolución de los procesos de ordenamiento y de fusión en simulaciones de relajación isoterma y no isoterma. Como resultado de los modelos de simulación, se han evaluado distintas propiedades fisicas como la longitud de segmento ordenado, la cristalinidad, temperaturas de fusion/cristalizacion, etc., lo que permite una comparación con los resultados experimentales. Se demuestra claramente que los sistemas ramificados retrasan y dificultan el orden de la cadena polimérica y por tanto, las regiones cristalinas ordenadas decrecen al crecer las ramas. Como una conclusión general parece mostrarse una tendencia a la formación de estructuras localmente ordenadas que crecen como bloques para completar el espacio de cristalización que puede alcanzarse a una temperatura y a una escala de tiempo determinada. Finalmente hay que señalar que los efectos observados, estan en concordancia con otros resultados tanto teoricos/simulacion como experimentales discutidos a lo largo de esta memoria. Su resumen se muestra en un capitulo de conclusiones y líneas futuras de investigación que se abren como consecuencia de esta memoria. Hay que mencionar que el ritmo de investigación se ha acentuado notablemente en el ultimo ano de trabajo, en parte debido a las ventajas notables obtenidas por el uso de la metodología de grano grueso que pese a ser muy importante para esta memoria no repercute fácilmente en trabajos publicables. Todo ello justifica que gran parte de los resultados esten en fase de publicación. Abstract “Polymer crystallization is therefore assumed, and in theories often described, to be a multi step process with many influencing aspects. Because of the chain structure, it is easy to understand that a process which is thermodynamically forced to increase local ordering but is geometrically hindered cannot proceed into a final equilibrium state. As a result, nonequilibrium structures with different characteristics are usually formed, which depend on temperature, pressure, shearing and other parameters”. These words, recently written by Professor Bernhard Wunderlich, one of the most prominent researchers in polymer physics, put somehow in value the "leitmotiv "of this thesis. The crystallization mechanism of polymers is still under debate in the physics community and most of the experimental findings are still explained by invoking the LH theory. This classical theory, which was initially formulated by Lauritzen and Hoffman (LH), is indeed a generalization of the crystallization theory for small molecules from the vapor phase. Even though it describes satisfactorily many experimental observations, it is far from explaining the complex phenomenon of polymer crystallization. This theory was firstly devised in the early 70s at the National Bureau of Standards. It was successively reformulated along the 80s to fit the experimental findings. Thus, the crystallization regime III was introduced into the theory in order to explain the results found in neutron scattering, droplet or quenching experiments. This concept defines the roughness of the crystallization surface leading to the paradigm proposed by Sadler et al. The great success of this theory is the ability to explain the inverse dependence of the molecular folding size on the supercooling, the latter defined as the temperature interval between the equilibrium temperature and the crystallization temperature. The main scope of this thesis is the study of ordering processes in polyolefins with different degree of branching by using computer simulations. The copolymers studied along this work are considered materials of high molecular homogeneity, from the point of view of both size and branching distributions of the polymer chain. These polyolefins were selected due to the great interest to understand their structure– property relationships. It is important to note that there is a vast amount of experimental data concerning these materials, which is essential to create a virtual reality as is the simulation. The Biophym research group has a wide experience in the correlation between simulation data and experimental results, being this idea highly alive along this work. Empirically, it is well-known that the physical properties of the polyolefins depend on the type and amount of branches presented in the polymeric material. However, there are not suitable models to explain the underlying mechanisms associated to branching. This report is extensive due to the complexity of the topic under study. It begins with a general introduction to the basics concepts of macromolecular physics. This chapter is relevant to understand the content of the present document. Some concepts are defined along this section, among others the flexibility of macromolecules, size distributions and moments, and the behavior in solution and melt along with their corresponding characteristic parameters. Special emphasis is placed on the concept of "entanglement" which is a key item when dealing with macromolecules having a molecular size greater than the critical entanglement length. The introduction finishes with a review of the state of art on the simulation of crystallization processes. The second chapter of the thesis describes, in detail, the computational methodology used in each study. In the first results section, we discuss the simulation studies in dilute solution for linear and short chain branched single chain models. The simplest case is clearly dependent on the selected torsion potential as it is discussed throughout the text. For example, the formation of baby nuclei proposed by Mutukhumar seems to result from the effects of the torsion potential. Thus, we propose the analysis of other torsion potentials that are also used by other research groups. The results obtained on crystallization processes are accordingly discussed. Then, in a second results section, we study linear and branched long-chain alkane molecules in a melt by atomistic simulations as a polyethylene-like model. In spite of the great detail given by atomistic simulations, they are not able to fully capture the experimental facts observed in supercooled melts, in particular the pre-ordered states. For this reason, we discuss short and long chains systems using two coarse-grained models (CG-PVA and CG-PE) in section 3 and 4 of chapter 2. The CG-PE model was developed during the thesis. The use of coarse-grained models ensures greater computational efficiency with respect to atomistic models and is enough to show the relevant scale phenomena for crystallization. In all the analysis we follow the evolution of the ordering and melting processes by both isothermal and non isothermal simulations. During this thesis we have obtained different physical properties such as stem length, crystallinity, melting/crystallization temperatures, and so on. We show that branches in the chains cause a delay in the crystallization and hinder the ordering of the polymer chain. Therefore, crystalline regions decrease in size as branching increases. As a general conclusion, it seems that there is a tendency in the macromolecular systems to form ordered structures, which can grown locally as blocks, occupying the crystallization space at a given temperature and time scale. Finally it should be noted that the observed effects are consistent with both, other theoretical/simulation and experimental results. The summary is provided in the conclusions chapter along with future research lines that open as result of this report. It should be mentioned that the research work has speeded up markedly in the last year, in part because of the remarkable benefits obtained by the use of coarse-grained methodology that despite being very important for this thesis work, is not easily publishable by itself. All this justify that most of the results are still in the publication phase.

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El convento de la Tourette se concibe en un marco temporal concreto. Sin embargo sería erróneo limitarse a él a la hora de intentar desentrañar las claves del proyecto y llegar a un entendimiento completo del mismo. Es necesario analizarlo atendiendo al conjunto global de la producción del arquitecto, la cual ha ido forjando una forma propia de hacer que condicionará en gran medida las decisiones tomadas en cada momento. Esta tesis realiza una investigación de doble sentido (recogida en los dos volúmenes que la componen). Por un lado analiza el proceso evolutivo en el que se enhebra la obra intentando desentrañar la influencia de aquel en ésta, pero por otro, invirtiendo el sentido, también desvela ciertas claves de la arquitectura de Le Corbusier a través del preciso análisis de proyecto de la Tourette. Pero aún más, la pertenencia del convento de la Tourette al “tipo monacal” introduce la presencia de un tiempo histórico “ab origine, in hillo tempore” del que la investigación se hace eco. Un tiempo al que Le Corbusier siempre volverá la mirada, y que en este caso se encuentra muy presente, determinando el devenir del proyecto de una forma particular y definitiva. Por tanto este trabajo pretende convocar los dos tiempos que conviven en el proyecto del convento de la Tourette, el corto, concreto y cerrado de su génesis y desarrollo, que se circunscribe al periodo de proyecto comprendido entre los años 1953 y 1956, y el más dilatado, abstracto y abierto, que enlaza el proyecto con la producción de Le Corbusier, y aún más atrás, con el tiempo histórico. En la primera parte del trabajo (A. “PROYECTO”) se realiza un análisis cronológico de la documentación gráfica ‐incluyendo su re‐dibujo‐ y escrita del proyecto, desde los croquis que el arquitecto esboza en su primera visita al valle del Turdine hasta el documento final del project d’exécution, a partir del cual se materializará la obra. El objetivo de la investigación no es describir la realidad construida, sino participar del secreto de su génesis analizando y intentando comprender los dibujos o el pensamiento de sus creadores. Frente a la multitud de escritos sobre la obra del convento de la Tourette el foco de atención de la tesis se centra en el proyecto. Es en esta fase de elaboración y desarrollo de las ideas, previa a la acción de construir, donde pensamos que La deriva de la propia actividad del arquitecto avala esta decisión. A lo largo de su carrera Le Corbusier va reduciendo progresivamente su presencia en la obra centrándose cada vez más en las fases de la concepción y proyecto arquitectónico. Considera que en ellas se produce lo “esencial” mientras que deja las decisiones de obra en manos de sus colaboradores y de los diversos “operadores”, participando tan solo en el visto bueno final de las mismas (esta posición contrasta con la entrega de los constructores para quienes el arquitecto encarna la innovación tecnológica). En la Tourette realiza exclusivamente tres visitas de obra en las que actúa como un mero escenógrafo, ajustando aquí y allá pequeñas decisiones de la construcción. Esta distancia refuerza su posición en el proceso y subraya su búsqueda de un ideal teórico desarrollado sobre todo en la fase de proyecto frente a lo subsidiario de la realidad práctica. En la segunda parte de la tesis, denominada “RE‐VISIONES”, se abre el campo de acción a otras facetas de la ingente actividad de Le Corbusier como la pintura, la escritura o incluso la escultura; una nueva MIRADA bajo el prisma de una serie de conceptos‐llave recurrentes en su Petit vocabulaire (l’homme, la céllule, la bôite, l’organisme). Se amplía, por tanto, el marco temporal, repasando de modo genérico y transversal la evolución de los mismos en la trayectoria del arquitecto, comprobándose como el convento de la Tourette es un eslabón característico y clave en todos ellos. ABSTRACT The Convent of La Tourette is conceived in a specific time frame. However, it would be erroneous to limit oneself simply to this when trying to unravel the keys to the project and to fully understand it. It is necessary to analyse the project attending to the entire production of the architect, who progressively shaped his own way of doing things which would condition to a large extent the decisions taken at each point in time. This thesis carries out its research in a dual sense (brought together in both its volumes). On the one hand, it analyses the development process threading the work attempting to fathom the influence of the former on the latter but, on the other hand, inverting the sense which also reveals certain keys to the architecture of Le Corbusier by means of a detailed analysis of the project for La Tourette. Even more so, the Convent of La Tourette belonging to the “monastic type” introduces the presence of a historical period “ab origine, in hillo tempore" reflected in the research. A period to which Le Corbusier would always look back on and which is extremely present in this case, determining the evolution of the project in a particular and definitive manner. Therefore, this piece of work attempts to bring together both time periods co‐existing in the project for the Convent of La Tourette, the short, specific and closed one regarding its genesis development, encompassing the project period going from 1953 to 1956, and the broader, more abstract and open one linking the project with the production by Le Corbusier, and even further back, with the historical period. The first part of this work (A. “PROJECT") performs a chronological analysis of the graphic – including its re‐drawing –and written documentation of the project, from the outlines the architect sketched in his first visit to the Turdine valley up to the final document of the project d’exécution from which the works would materialise. The main object of the investigation is not intend to describe the reality constructed, but to participate in the secret of its genesis, analysing and trying to understand the drawings or the thoughts of its creators. As opposed to the many writings on the work of the Convent of La Tourette, the attention of this thesis focusses on the project. It is in this preparation and development stage, previous to the construction action, where it is believed the real keys to understand and explain it lie. The enormous work collecting, ordering and analysing the abundant graphic and written information reveals “a multidirectional process, full of regrets and securities, errors and certainties, leaps backwards and tremendous foresight in the process” directed not only by the conditions of the assignment, but also by the way of doing things of Le Corbusier and his collaborator I. Xenakis. A web of hidden relationships is weaved in this open space of the process, often distant in time, allowing us to draw a new route, not only towards the constructed works of the Convent of La Tourette, but towards understanding his entire production. It is in the creation of this new path of knowledge, and not only in its conclusion, where the “thesis” acquires its true meaning. In second place, the drift in the actual activity of the architect backs this decision. Throughout his career, Le Corbusier progressively reduced his presence on site, focussing more and more on the conception and architectural project stages. He considered that which was “essential” took place in these, while leaving the on‐site decisions to his collaborators and the different “operators”, only participating in their final approval (this position is in contrast with the delivery by the constructors for whom the architect embodies the technological innovation). In La Tourette he exclusively made three on‐site visits, in which acted as a pure stage designer, adjusting small construction decisions here and there. This distance reinforces his position in the process and underlines his search for a theoretical ideal developed primarily in the project stage as opposed to that which is secondary of the practical reality. The second part of the thesis, called “RE‐VISIONS”, widens the scope of action to other aspects of the huge activity by Le Corbusier, encompassing painting, writing or even sculpture; a new VIEW under the prism of a series of recurrent key concepts in his Petit vocabulaire (l’homme, la céllule, la bôite, l’organisme). The time frame is therefore extended, revising in a generic and transversal manner the development of these concepts throughout the career of Le Corbusier, confirming how the Convent of La Tourette is a characteristic and key link to each of them.

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In 1933 public letter to Wilhelm Furtwängler, Joseph Goebbels synthesized the official understanding of the link between politics, art and society in the early steps of the Third Reich. By assuming the ethos of art, politics acquired a plastic agency to mold its objects —population and the state— as a unified entity in the form of a ‘national-popular community’ (Volksgemeinschaft); in turn, by infusing art with a political valence, it became part of a wider governmental apparatus that reshaped aesthetic discourses and practices. Similar remarks could be made about the ordering of cities and territories in this period. Dictatorial imaginations mobilized urbanism —including urban theory, urban design and planning— as a fundamental tool for social organization. Under their aegis the production of space became a moment in a wider production of society. Many authors suggest that this political-spatial nexus is intrinsic to modernity itself, beyond dictatorial regimes. In this light, I propose to use dictatorial urbanisms as an analytical opportunity to delve into some concealed features of modern urban design and planning. This chapter explores some of these aspects from a theoretical standpoint, focusing on the development of dictatorial planning mentalities and spatial rationalities and drawing links to other historical episodes in order to inscribe the former in a broader genealogy of urbanism. Needless to say, I don’t suggest that we use dictatorships as mere templates to understand modern productions of space. Instead, these cases provide a crude version of some fundamental drives in the operationalization of urbanism as an instrument of social regulation, showing how far the modern imagination of sociospatial orderings can go. Dictatorial urbanisms constituted a set of experiences where many dreams and aspirations of modern planning went to die. But not, as the conventional account would have it, because the former were the antithesis of the latter, but rather because they worked as the excess of a particular orientation of modern spatial governmentalities — namely, their focus on calculation, social engineering and disciplinary spatialities, and their attempt to subsume a wide range of everyday practices under institutional structuration by means of spatial mediations. In my opinion the interest of dictatorial urbanisms lies in their role as key regulatory episodes in a longer history of our urban present. They stand as a threshold between the advent of planning in the late 19th and early 20th century, and its final consolidation as a crucial state instrument after World War II. We need, therefore, to pay attention to these experiences vis-à-vis the alleged ‘normal’ development of the field in contemporary democratic countries in order to develop a full comprehension thereof.

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In this paper, we axiomatically introduce fuzzy multi-measures on bounded lattices. In particular, we make a distinction between four different types of fuzzy set multi-measures on a universe X, considering both the usual or inverse real number ordering of this lattice and increasing or decreasing monotonicity with respect to the number of arguments. We provide results from which we can derive families of measures that hold for the applicable conditions in each case.

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La tesis se acerca a la cuestión del método en arquitectura focalizando su análisis principalmente en 5 obras concretas del panorama contemporáneo, tratando de desvelar las motivaciones últimas que las constituyen. El objeto y la obra arquitectónica se consideran así los elementos susceptibles de ofrecer el conocimiento material que permite desentrañar el modo y la metodología por el que éstos han sido concebidos. Con esta particular aproximación se desafían los tradicionales estudios que han comprendido al método como una sistemática universal o reglada, ya que en este caso el propósito consiste más bien en esclarecer los fundamentos y principios que subyacen a cada objeto arquitectónico más específico. Este hecho ha llevado al índice de la tesis a ordenarse según una lista de arquitectos y obras que no presentan otra particularidad que la de ser recientes y muy diferentes entre sí. Esta aparente arbitrariedad con la que las obras se eligen cobra sentido a lo largo del propio análisis y recorrido, ya que éste apuesta por recabar el suficiente contenido que diversifique y singularice cada elección, de tal modo que ya en sí, ésta obtenga rango paradigmático. El hecho de que la tesis evite los planteamientos totalitarios no quiere decir que trate de promover el relativismo de las diferentes opciones, dado que más bien pretende analizar hasta el fondo las cuestiones últimas y lo más valioso que cada opción representa. Por su parte, la conclusión de la tesis muestra una complementariedad al carácter específico de los capítulos previos, ya que ésta se atreve a avanzar con cierta voluntad conclusiva hacia la definición de los principios más sustanciales del método en arquitectura hoy. Y precisamente, una de las claves esenciales que ha mostrado la arquitectura del hoy que nos toca vivir consiste en la condición más específica de la obra arquitectónica misma por encima de cualquier connotación genérica o transcendente que ésta pueda sugerir. De tal modo que los arquitectos elegidos, por muy diferentes que aparentan ser, han tomado como punto de partida la condición objetual de la obra más allá de cualquier contenido ideal que a ésta pueda adscribírsele. En todos los casos, si bien de diferente manera, la obra arquitectónica en sí misma se ha constituido en una nueva clave en la que tratan de dirimirse las eternas dialécticas entre el objeto y su significado, entre la estructura conceptual y su connotación simbólica. De este modo, las dialécticas relativas a la unidad de la diversidad, la identidad de la multiplicidad, la síntesis que pretende la integración de lo complejo, o en su caso, la indispensable sostenibilidad de lo inconsistente, se han convertido en la temática principal de este análisis que ha comprendido al método a partir la misma paradoja por la que la arquitectura actual se ve afectada. La misma dialéctica imposible de resolver que ha conducido a la arquitectura más reciente a decantarse a favor de la consustancialidad intrínseca a la misma obra. La tesis por su parte también se ha focalizado en la obra y en el hecho arquitectónico puntual, siguiendo la tendencia de la misma arquitectura que se analizaba. Sin embargo, sus extensos análisis nos han llevado a desentrañar el sentido y la posición estratégica personal que se encuentra más allá de la exacerbación inmanente de la arquitectura de estos últimos años. Es decir, tal y como se ha insistido, el análisis de la obra nos ha llevado, a través de la pregunta por su método, al arquitecto que la ha proyectado. Y así se ha creado este triángulo trinitario, ‘Arquitecto, obra y método’, tratando de preguntarse hasta el final por la singularidad más específica del método de cada arquitecto, en el convencimiento de que método y obra se vinculan precisamente ahí, en las experiencias personales singulares que han posibilitado las mayores creaciones y más sustantivas novedades. ABSTRACT This thesis approaches the question of Method in architecture by focusing its analysis on 5 specific contemporary projects, trying to unveil their underlying constitutive motivations. Thus, architectonical object and work are considered the susceptible elements that provide the material knowledge that unravels the manner and the methodology by which they were conceived. With this particular approach, this thesis challenges other traditional studies, those that regard the Method in architecture as a regulated or universal systematic procedure. On the contrary, the purpose of this thesis is to clarify the foundations and principles that underlie each specific architectonical object. This has led to the ordering of the thesis index according to a list of architects and projects that do not present any other distinctiveness except that they are recent and very different to each other. However, this apparent arbitrariness of the choice of each architect becomes meaningful during its analytical development. This analysis attempts to seek out the content which diversifies each choice enough, and makes it singular enough, so that each selected candidate acquires paradigmatic range by itself. Therefore, the fact that the thesis avoids totalitarian approaches does not lead it to promote the relativism of different choices, but rather the thesis tries to thoroughly analyze the most valuable achievements of each option. Nonetheless, the conclusion of the thesis shows a position that complements the specific character of the previous chapters, since it dares to move forward conclusively towards the definition of the essential principles of the Method in architecture today. Indeed, the thesis shows one of the basic keys of today’s architecture, which is the specific condition of the architectural work itself above any generic or transcendental connotation. Thus, the selected architects, however different they appear to be, take the objectual condition of the work (thingness) as their starting point beyond any ideal content that might be ascribed to their architecture. Although differently, in each case the architectonical work itself has become the new indispensable key to deal with the eternal dialectics between the object and its meaning, between conceptual structure and its symbolic connotation. Thus, the dialectics between unity and diversity, the identity of multiplicity, the synthesis that aims at the integration of complexity, or even, the indispensable consistency of the unavoidable inconsistency, have all become the main themes of this analysis, an analysis that understands the issue of Method from the same paradoxical situation of today’s architecture. This is the same paradox which has led the latest architecture to align itself with the intrinsic consubstantiality of the architectonical work itself. Therefore, the thesis is also focused on the Work, on the specific architectonical fact, following the course of the same architecture that it analyses. However, extensive analyses of the thesis have led us to clarify the sense and personal strategic position that is beyond the immanent exacerbation of architecture in recent years. Therefore, as stressed throughout the text, the analysis, that has explored the Method of architectonical Work, has led us to the architect who conceived it. Thus, this trinitarian triangle, ‘Architect, Work and Method’, has been created, attempting to explore in depth the specific uniqueness of each architect’s method, convinced that Method and Work do actually connect in the singular experiences that have achieved the greatest and most substantial creations.